## Begin on: Thu Oct 17 06:36:42 CEST 2019

ENUMERATION
No. of records: 2442

FAMILY (oriented family) : isomorphism classes
1     [ E1b] : 60 (56 non-degenerate)
2     [ E3b] : 220 (160 non-degenerate)
2*    [E3*b] : 220 (160 non-degenerate)
2ex   [E3*c] : 6 (6 non-degenerate)
2*ex  [ E3c] : 6 (6 non-degenerate)
2P    [  E2] : 75 (56 non-degenerate)
2Pex  [ E1a] : 3 (3 non-degenerate)
3     [ E5a] : 1300 (832 non-degenerate)
4     [  E4] : 203 (122 non-degenerate)
4*    [ E4*] : 203 (122 non-degenerate)
4P    [  E6] : 98 (70 non-degenerate)
5     [ E3a] : 24 (21 non-degenerate)
5*    [E3*a] : 24 (21 non-degenerate)
5P    [ E5b] : 0

E19.1 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {19, 19})
Quotient :: toric
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ B, A, B, A, B, A, A, B, A, B, A, B, A, A, B, A, B, A, B, B, A, B, A, B, A, B, B, A, B, A, B, B, A, B, A, A, B, A, S^2, S^-1 * B * S * A, S^-1 * A * S * B, S^-1 * Z * S * Z, Z^19, (Z^-1 * A * B^-1 * A^-1 * B)^19 ]
Map::
	R = (1, 21, 40, 59, 2, 23, 42, 61, 4, 25, 44, 63, 6, 27, 46, 65, 8, 29, 48, 67, 10, 31, 50, 69, 12, 33, 52, 71, 14, 35, 54, 73, 16, 37, 56, 75, 18, 38, 57, 76, 19, 36, 55, 74, 17, 34, 53, 72, 15, 32, 51, 70, 13, 30, 49, 68, 11, 28, 47, 66, 9, 26, 45, 64, 7, 24, 43, 62, 5, 22, 41, 60, 3, 20, 39, 58)
	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) :: { ( 76^76 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 38 f = 1
	degree seq :: [ 76 ]

E19.2 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {19, 19})
Quotient :: toric
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^-1 * A^-1, B^-1 * Z^-1, (S * Z)^2, S * B * S * A, B^19, Z^19, Z^9 * A^-10 ]
Map::
	R = (1, 21, 40, 59, 2, 23, 42, 61, 4, 25, 44, 63, 6, 27, 46, 65, 8, 29, 48, 67, 10, 31, 50, 69, 12, 33, 52, 71, 14, 35, 54, 73, 16, 37, 56, 75, 18, 38, 57, 76, 19, 36, 55, 74, 17, 34, 53, 72, 15, 32, 51, 70, 13, 30, 49, 68, 11, 28, 47, 66, 9, 26, 45, 64, 7, 24, 43, 62, 5, 22, 41, 60, 3, 20, 39, 58)
	L = (1, 41)(2, 39)(3, 43)(4, 40)(5, 45)(6, 42)(7, 47)(8, 44)(9, 49)(10, 46)(11, 51)(12, 48)(13, 53)(14, 50)(15, 55)(16, 52)(17, 57)(18, 54)(19, 56)(20, 59)(21, 61)(22, 58)(23, 63)(24, 60)(25, 65)(26, 62)(27, 67)(28, 64)(29, 69)(30, 66)(31, 71)(32, 68)(33, 73)(34, 70)(35, 75)(36, 72)(37, 76)(38, 74)
	local type(s) :: { ( 76^76 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 38 f = 1
	degree seq :: [ 76 ]

E19.3 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {19, 19})
Quotient :: toric
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^2 * A, S * A * S * B, (S * Z)^2, Z * A^-9, (B * Z)^19 ]
Map::
	R = (1, 21, 40, 59, 2, 24, 43, 62, 5, 25, 44, 63, 6, 28, 47, 66, 9, 29, 48, 67, 10, 32, 51, 70, 13, 33, 52, 71, 14, 36, 55, 74, 17, 37, 56, 75, 18, 38, 57, 76, 19, 34, 53, 72, 15, 35, 54, 73, 16, 30, 49, 68, 11, 31, 50, 69, 12, 26, 45, 64, 7, 27, 46, 65, 8, 22, 41, 60, 3, 23, 42, 61, 4, 20, 39, 58)
	L = (1, 41)(2, 42)(3, 45)(4, 46)(5, 39)(6, 40)(7, 49)(8, 50)(9, 43)(10, 44)(11, 53)(12, 54)(13, 47)(14, 48)(15, 56)(16, 57)(17, 51)(18, 52)(19, 55)(20, 62)(21, 63)(22, 58)(23, 59)(24, 66)(25, 67)(26, 60)(27, 61)(28, 70)(29, 71)(30, 64)(31, 65)(32, 74)(33, 75)(34, 68)(35, 69)(36, 76)(37, 72)(38, 73)
	local type(s) :: { ( 76^76 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 38 f = 1
	degree seq :: [ 76 ]

E19.4 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {19, 19})
Quotient :: toric
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, Z^-3 * B^-1, Z^-1 * B * Z * A^-1, S * A * S * B, (S * Z)^2, B * A^5 * Z^-1 ]
Map::
	R = (1, 21, 40, 59, 2, 25, 44, 63, 6, 24, 43, 62, 5, 27, 46, 65, 8, 31, 50, 69, 12, 30, 49, 68, 11, 33, 52, 71, 14, 37, 56, 75, 18, 36, 55, 74, 17, 34, 53, 72, 15, 38, 57, 76, 19, 35, 54, 73, 16, 28, 47, 66, 9, 32, 51, 70, 13, 29, 48, 67, 10, 22, 41, 60, 3, 26, 45, 64, 7, 23, 42, 61, 4, 20, 39, 58)
	L = (1, 41)(2, 45)(3, 47)(4, 48)(5, 39)(6, 42)(7, 51)(8, 40)(9, 53)(10, 54)(11, 43)(12, 44)(13, 57)(14, 46)(15, 52)(16, 55)(17, 49)(18, 50)(19, 56)(20, 62)(21, 65)(22, 58)(23, 63)(24, 68)(25, 69)(26, 59)(27, 71)(28, 60)(29, 61)(30, 74)(31, 75)(32, 64)(33, 72)(34, 66)(35, 67)(36, 73)(37, 76)(38, 70)
	local type(s) :: { ( 76^76 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 38 f = 1
	degree seq :: [ 76 ]

E19.5 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {19, 19})
Quotient :: toric
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, A^-1 * B, Z^-1 * B * Z * A^-1, S * B * S * A, (S * Z)^2, Z * B * Z^-1 * A^-1, Z^2 * B * Z^2, A^4 * Z * B, Z * B^-2 * Z * B^-1 * Z * A^-1 ]
Map::
	R = (1, 21, 40, 59, 2, 25, 44, 63, 6, 31, 50, 69, 12, 24, 43, 62, 5, 27, 46, 65, 8, 33, 52, 71, 14, 36, 55, 74, 17, 32, 51, 70, 13, 35, 54, 73, 16, 37, 56, 75, 18, 28, 47, 66, 9, 34, 53, 72, 15, 38, 57, 76, 19, 29, 48, 67, 10, 22, 41, 60, 3, 26, 45, 64, 7, 30, 49, 68, 11, 23, 42, 61, 4, 20, 39, 58)
	L = (1, 41)(2, 45)(3, 47)(4, 48)(5, 39)(6, 49)(7, 53)(8, 40)(9, 55)(10, 56)(11, 57)(12, 42)(13, 43)(14, 44)(15, 51)(16, 46)(17, 50)(18, 52)(19, 54)(20, 62)(21, 65)(22, 58)(23, 69)(24, 70)(25, 71)(26, 59)(27, 73)(28, 60)(29, 61)(30, 63)(31, 74)(32, 72)(33, 75)(34, 64)(35, 76)(36, 66)(37, 67)(38, 68)
	local type(s) :: { ( 76^76 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 38 f = 1
	degree seq :: [ 76 ]

E19.6 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {19, 19})
Quotient :: toric
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (Z^-1, A^-1), S * B * S * A, (S * Z)^2, A^3 * Z * A, Z^-1 * A^-1 * Z^-4, Z^2 * A^-1 * Z^2 * A^-2 ]
Map::
	R = (1, 21, 40, 59, 2, 25, 44, 63, 6, 33, 52, 71, 14, 31, 50, 69, 12, 24, 43, 62, 5, 27, 46, 65, 8, 35, 54, 73, 16, 37, 56, 75, 18, 28, 47, 66, 9, 32, 51, 70, 13, 36, 55, 74, 17, 38, 57, 76, 19, 29, 48, 67, 10, 22, 41, 60, 3, 26, 45, 64, 7, 34, 53, 72, 15, 30, 49, 68, 11, 23, 42, 61, 4, 20, 39, 58)
	L = (1, 41)(2, 45)(3, 47)(4, 48)(5, 39)(6, 53)(7, 51)(8, 40)(9, 50)(10, 56)(11, 57)(12, 42)(13, 43)(14, 49)(15, 55)(16, 44)(17, 46)(18, 52)(19, 54)(20, 62)(21, 65)(22, 58)(23, 69)(24, 70)(25, 73)(26, 59)(27, 74)(28, 60)(29, 61)(30, 71)(31, 66)(32, 64)(33, 75)(34, 63)(35, 76)(36, 72)(37, 67)(38, 68)
	local type(s) :: { ( 76^76 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 38 f = 1
	degree seq :: [ 76 ]

E19.7 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {19, 19})
Quotient :: toric
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, B^-1 * A, A^-2 * Z * B^-1, Z^-1 * B * A^2, S * B * S * A, (S * Z)^2, Z^4 * A * Z^2 ]
Map::
	R = (1, 21, 40, 59, 2, 25, 44, 63, 6, 31, 50, 69, 12, 36, 55, 74, 17, 30, 49, 68, 11, 24, 43, 62, 5, 27, 46, 65, 8, 33, 52, 71, 14, 37, 56, 75, 18, 38, 57, 76, 19, 34, 53, 72, 15, 28, 47, 66, 9, 22, 41, 60, 3, 26, 45, 64, 7, 32, 51, 70, 13, 35, 54, 73, 16, 29, 48, 67, 10, 23, 42, 61, 4, 20, 39, 58)
	L = (1, 41)(2, 45)(3, 46)(4, 47)(5, 39)(6, 51)(7, 52)(8, 40)(9, 43)(10, 53)(11, 42)(12, 54)(13, 56)(14, 44)(15, 49)(16, 57)(17, 48)(18, 50)(19, 55)(20, 62)(21, 65)(22, 58)(23, 68)(24, 66)(25, 71)(26, 59)(27, 60)(28, 61)(29, 74)(30, 72)(31, 75)(32, 63)(33, 64)(34, 67)(35, 69)(36, 76)(37, 70)(38, 73)
	local type(s) :: { ( 76^76 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 38 f = 1
	degree seq :: [ 76 ]

E19.8 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {19, 19})
Quotient :: toric
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, (A^-1, Z^-1), S * B * S * A, (S * Z)^2, A * Z * A * Z * A, A^-1 * Z^4 * A^-1 * Z, Z^-3 * A^-1 * Z * A^-2 * Z * A^-2 * Z * A^-2 * Z * A^-1 ]
Map::
	R = (1, 21, 40, 59, 2, 25, 44, 63, 6, 33, 52, 71, 14, 36, 55, 74, 17, 28, 47, 66, 9, 31, 50, 69, 12, 24, 43, 62, 5, 27, 46, 65, 8, 34, 53, 72, 15, 37, 56, 75, 18, 29, 48, 67, 10, 22, 41, 60, 3, 26, 45, 64, 7, 32, 51, 70, 13, 35, 54, 73, 16, 38, 57, 76, 19, 30, 49, 68, 11, 23, 42, 61, 4, 20, 39, 58)
	L = (1, 41)(2, 45)(3, 47)(4, 48)(5, 39)(6, 51)(7, 50)(8, 40)(9, 49)(10, 55)(11, 56)(12, 42)(13, 43)(14, 54)(15, 44)(16, 46)(17, 57)(18, 52)(19, 53)(20, 62)(21, 65)(22, 58)(23, 69)(24, 70)(25, 72)(26, 59)(27, 73)(28, 60)(29, 61)(30, 66)(31, 64)(32, 63)(33, 75)(34, 76)(35, 71)(36, 67)(37, 68)(38, 74)
	local type(s) :: { ( 76^76 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 38 f = 1
	degree seq :: [ 76 ]

E19.9 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {19, 19})
Quotient :: toric
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, (A^-1, Z^-1), Z^-1 * B * Z * A^-1, S * B * S * A, (S * Z)^2, B^-1 * Z * B^-1 * Z^2, Z^3 * A^-2, B * Z * A * Z * A^3, B * Z * A * B * A^2 * Z, Z^-1 * A^-1 * B^-1 * A^-1 * B^-1 * A^-1 * B^-1 * A^-1 * B^-1 * A^-1 * B^-1 * A^-1 * B^-1 ]
Map::
	R = (1, 21, 40, 59, 2, 25, 44, 63, 6, 28, 47, 66, 9, 34, 53, 72, 15, 38, 57, 76, 19, 36, 55, 74, 17, 31, 50, 69, 12, 24, 43, 62, 5, 27, 46, 65, 8, 29, 48, 67, 10, 22, 41, 60, 3, 26, 45, 64, 7, 33, 52, 71, 14, 35, 54, 73, 16, 37, 56, 75, 18, 32, 51, 70, 13, 30, 49, 68, 11, 23, 42, 61, 4, 20, 39, 58)
	L = (1, 41)(2, 45)(3, 47)(4, 48)(5, 39)(6, 52)(7, 53)(8, 40)(9, 54)(10, 44)(11, 46)(12, 42)(13, 43)(14, 57)(15, 56)(16, 55)(17, 49)(18, 50)(19, 51)(20, 62)(21, 65)(22, 58)(23, 69)(24, 70)(25, 67)(26, 59)(27, 68)(28, 60)(29, 61)(30, 74)(31, 75)(32, 76)(33, 63)(34, 64)(35, 66)(36, 73)(37, 72)(38, 71)
	local type(s) :: { ( 76^76 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 38 f = 1
	degree seq :: [ 76 ]

E19.10 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C20 (small group id <20, 2>)
Aut   = C4 x D10 (small group id <40, 5>)
|r| :: 2
Presentation :: [ S^2, B * A, Z * B^-1 * Z^-1 * A^-1, (Z^-1, B^-1), S * A * S * B, A^4, (S * Z)^2, A^-2 * Z * A^-2 * Z^-1, Z^2 * A^-1 * Z^-2 * A, Z^3 * A * Z^2 * A ]
Map:: non-degenerate
	R = (1, 22, 42, 62, 2, 26, 46, 66, 6, 33, 53, 73, 13, 37, 57, 77, 17, 29, 49, 69, 9, 36, 56, 76, 16, 40, 60, 80, 20, 32, 52, 72, 12, 25, 45, 65, 5, 21, 41, 61)(3, 27, 47, 67, 7, 34, 54, 74, 14, 39, 59, 79, 19, 31, 51, 71, 11, 24, 44, 64, 4, 28, 48, 68, 8, 35, 55, 75, 15, 38, 58, 78, 18, 30, 50, 70, 10, 23, 43, 63)
	L = (1, 43)(2, 47)(3, 49)(4, 41)(5, 50)(6, 54)(7, 56)(8, 42)(9, 44)(10, 57)(11, 45)(12, 58)(13, 59)(14, 60)(15, 46)(16, 48)(17, 51)(18, 53)(19, 52)(20, 55)(21, 63)(22, 67)(23, 69)(24, 61)(25, 70)(26, 74)(27, 76)(28, 62)(29, 64)(30, 77)(31, 65)(32, 78)(33, 79)(34, 80)(35, 66)(36, 68)(37, 71)(38, 73)(39, 72)(40, 75)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.11 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C20 (small group id <20, 2>)
Aut   = C4 x D10 (small group id <40, 5>)
|r| :: 2
Presentation :: [ S^2, B^2 * Z, A^2 * Z, (A^-1, B), (S * Z)^2, S * A * S * B, Z^-2 * A * B * Z^-2 ]
Map:: non-degenerate
	R = (1, 22, 42, 62, 2, 28, 48, 68, 8, 37, 57, 77, 17, 31, 51, 71, 11, 33, 53, 73, 13, 36, 56, 76, 16, 40, 60, 80, 20, 35, 55, 75, 15, 25, 45, 65, 5, 21, 41, 61)(3, 26, 46, 66, 6, 29, 49, 69, 9, 38, 58, 78, 18, 34, 54, 74, 14, 24, 44, 64, 4, 27, 47, 67, 7, 30, 50, 70, 10, 39, 59, 79, 19, 32, 52, 72, 12, 23, 43, 63)
	L = (1, 43)(2, 46)(3, 45)(4, 51)(5, 52)(6, 41)(7, 53)(8, 49)(9, 42)(10, 56)(11, 54)(12, 55)(13, 44)(14, 57)(15, 59)(16, 47)(17, 58)(18, 48)(19, 60)(20, 50)(21, 67)(22, 70)(23, 73)(24, 61)(25, 64)(26, 76)(27, 62)(28, 79)(29, 80)(30, 68)(31, 63)(32, 71)(33, 66)(34, 65)(35, 74)(36, 69)(37, 72)(38, 75)(39, 77)(40, 78)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.12 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, Z * A * Z^-1 * A, (A * B)^2, B * Z * B * Z^-1, S * A * S * B, (S * Z)^2, A * Z^2 * B * Z^3 ]
Map:: non-degenerate
	R = (1, 22, 42, 62, 2, 26, 46, 66, 6, 33, 53, 73, 13, 37, 57, 77, 17, 29, 49, 69, 9, 36, 56, 76, 16, 40, 60, 80, 20, 32, 52, 72, 12, 25, 45, 65, 5, 21, 41, 61)(3, 27, 47, 67, 7, 34, 54, 74, 14, 39, 59, 79, 19, 31, 51, 71, 11, 24, 44, 64, 4, 28, 48, 68, 8, 35, 55, 75, 15, 38, 58, 78, 18, 30, 50, 70, 10, 23, 43, 63)
	L = (1, 43)(2, 47)(3, 41)(4, 49)(5, 50)(6, 54)(7, 42)(8, 56)(9, 44)(10, 45)(11, 57)(12, 58)(13, 59)(14, 46)(15, 60)(16, 48)(17, 51)(18, 52)(19, 53)(20, 55)(21, 64)(22, 68)(23, 69)(24, 61)(25, 71)(26, 75)(27, 76)(28, 62)(29, 63)(30, 77)(31, 65)(32, 79)(33, 78)(34, 80)(35, 66)(36, 67)(37, 70)(38, 73)(39, 72)(40, 74)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.13 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ S^2, Z^-1 * A^-2 * Z^-1, (A^-1 * Z^-1)^2, (Z * B)^2, (B^-1, Z^-1), A^-1 * B^2 * A^-1, (Z^-1, A^-1), S * B * S * A, (B^-1, A^-1), B^2 * Z^2, (S * Z)^2, B^-2 * Z * B^-1 * A^-1, B^-2 * A^-1 * Z * B^-1, Z^-3 * B * A ]
Map:: non-degenerate
	R = (1, 22, 42, 62, 2, 28, 48, 68, 8, 34, 54, 74, 14, 39, 59, 79, 19, 36, 56, 76, 16, 40, 60, 80, 20, 38, 58, 78, 18, 33, 53, 73, 13, 25, 45, 65, 5, 21, 41, 61)(3, 29, 49, 69, 9, 26, 46, 66, 6, 31, 51, 71, 11, 37, 57, 77, 17, 24, 44, 64, 4, 30, 50, 70, 10, 27, 47, 67, 7, 32, 52, 72, 12, 35, 55, 75, 15, 23, 43, 63)
	L = (1, 43)(2, 49)(3, 53)(4, 54)(5, 55)(6, 41)(7, 56)(8, 46)(9, 45)(10, 59)(11, 42)(12, 60)(13, 52)(14, 51)(15, 58)(16, 44)(17, 48)(18, 47)(19, 57)(20, 50)(21, 67)(22, 72)(23, 76)(24, 61)(25, 70)(26, 78)(27, 68)(28, 75)(29, 80)(30, 62)(31, 73)(32, 74)(33, 64)(34, 63)(35, 79)(36, 66)(37, 65)(38, 77)(39, 69)(40, 71)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.14 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (S * Z)^2, A^-1 * B^-1 * A^-2, (Z^-1, A^-1), S * B * S * A, Z^3 * B^-1 * Z * A^-1 * Z, A * Z^2 * A * Z^3 ]
Map::
	R = (1, 22, 42, 62, 2, 26, 46, 66, 6, 33, 53, 73, 13, 37, 57, 77, 17, 29, 49, 69, 9, 36, 56, 76, 16, 39, 59, 79, 19, 31, 51, 71, 11, 24, 44, 64, 4, 21, 41, 61)(3, 27, 47, 67, 7, 34, 54, 74, 14, 40, 60, 80, 20, 32, 52, 72, 12, 25, 45, 65, 5, 28, 48, 68, 8, 35, 55, 75, 15, 38, 58, 78, 18, 30, 50, 70, 10, 23, 43, 63)
	L = (1, 43)(2, 47)(3, 49)(4, 50)(5, 41)(6, 54)(7, 56)(8, 42)(9, 45)(10, 57)(11, 58)(12, 44)(13, 60)(14, 59)(15, 46)(16, 48)(17, 52)(18, 53)(19, 55)(20, 51)(21, 65)(22, 68)(23, 61)(24, 72)(25, 69)(26, 75)(27, 62)(28, 76)(29, 63)(30, 64)(31, 80)(32, 77)(33, 78)(34, 66)(35, 79)(36, 67)(37, 70)(38, 71)(39, 74)(40, 73)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.15 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z * B * A, A * B * Z, (S * Z)^2, S * B * S * A, Z^10, B^20 ]
Map::
	R = (1, 22, 42, 62, 2, 26, 46, 66, 6, 30, 50, 70, 10, 34, 54, 74, 14, 38, 58, 78, 18, 37, 57, 77, 17, 33, 53, 73, 13, 29, 49, 69, 9, 24, 44, 64, 4, 21, 41, 61)(3, 25, 45, 65, 5, 27, 47, 67, 7, 31, 51, 71, 11, 35, 55, 75, 15, 39, 59, 79, 19, 40, 60, 80, 20, 36, 56, 76, 16, 32, 52, 72, 12, 28, 48, 68, 8, 23, 43, 63)
	L = (1, 43)(2, 45)(3, 44)(4, 48)(5, 41)(6, 47)(7, 42)(8, 49)(9, 52)(10, 51)(11, 46)(12, 53)(13, 56)(14, 55)(15, 50)(16, 57)(17, 60)(18, 59)(19, 54)(20, 58)(21, 65)(22, 67)(23, 61)(24, 63)(25, 62)(26, 71)(27, 66)(28, 64)(29, 68)(30, 75)(31, 70)(32, 69)(33, 72)(34, 79)(35, 74)(36, 73)(37, 76)(38, 80)(39, 78)(40, 77)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.16 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ A^2, S^2, B^-1 * A, Z^-1 * A * Z * A, S * A * S * B, (S * Z)^2, Z^10 ]
Map::
	R = (1, 22, 42, 62, 2, 25, 45, 65, 5, 29, 49, 69, 9, 33, 53, 73, 13, 37, 57, 77, 17, 36, 56, 76, 16, 32, 52, 72, 12, 28, 48, 68, 8, 24, 44, 64, 4, 21, 41, 61)(3, 26, 46, 66, 6, 30, 50, 70, 10, 34, 54, 74, 14, 38, 58, 78, 18, 40, 60, 80, 20, 39, 59, 79, 19, 35, 55, 75, 15, 31, 51, 71, 11, 27, 47, 67, 7, 23, 43, 63)
	L = (1, 43)(2, 46)(3, 41)(4, 47)(5, 50)(6, 42)(7, 44)(8, 51)(9, 54)(10, 45)(11, 48)(12, 55)(13, 58)(14, 49)(15, 52)(16, 59)(17, 60)(18, 53)(19, 56)(20, 57)(21, 63)(22, 66)(23, 61)(24, 67)(25, 70)(26, 62)(27, 64)(28, 71)(29, 74)(30, 65)(31, 68)(32, 75)(33, 78)(34, 69)(35, 72)(36, 79)(37, 80)(38, 73)(39, 76)(40, 77)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.17 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^-2 * A^-2, (Z, A^-1), S * A * S * B, (S * Z)^2, Z^-6 * A^4, A^10 ]
Map::
	R = (1, 22, 42, 62, 2, 26, 46, 66, 6, 31, 51, 71, 11, 35, 55, 75, 15, 39, 59, 79, 19, 37, 57, 77, 17, 34, 54, 74, 14, 29, 49, 69, 9, 24, 44, 64, 4, 21, 41, 61)(3, 27, 47, 67, 7, 25, 45, 65, 5, 28, 48, 68, 8, 32, 52, 72, 12, 36, 56, 76, 16, 40, 60, 80, 20, 38, 58, 78, 18, 33, 53, 73, 13, 30, 50, 70, 10, 23, 43, 63)
	L = (1, 43)(2, 47)(3, 49)(4, 50)(5, 41)(6, 45)(7, 44)(8, 42)(9, 53)(10, 54)(11, 48)(12, 46)(13, 57)(14, 58)(15, 52)(16, 51)(17, 60)(18, 59)(19, 56)(20, 55)(21, 65)(22, 68)(23, 61)(24, 67)(25, 66)(26, 72)(27, 62)(28, 71)(29, 63)(30, 64)(31, 76)(32, 75)(33, 69)(34, 70)(35, 80)(36, 79)(37, 73)(38, 74)(39, 78)(40, 77)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.18 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7, 7})
Quotient :: toric
Aut^+ = C7 : C3 (small group id <21, 1>)
Aut   = (C7 : C3) : C2 (small group id <42, 1>)
|r| :: 2
Presentation :: [ S^2, B * A, B^3, A^2 * B^-1, (S * Z)^2, S * B * S * A, A * Z^2 * A^-1 * Z^-1, B * Z * B^-1 * Z^-2, Z^-3 * B^-1 * Z^-1 * A^-1 ]
Map:: non-degenerate
	R = (1, 23, 44, 65, 2, 27, 48, 69, 6, 37, 58, 79, 16, 42, 63, 84, 21, 36, 57, 78, 15, 26, 47, 68, 5, 22, 43, 64)(3, 30, 51, 72, 9, 28, 49, 70, 7, 39, 60, 81, 18, 38, 59, 80, 17, 34, 55, 76, 13, 31, 52, 73, 10, 24, 45, 66)(4, 32, 53, 74, 11, 41, 62, 83, 20, 35, 56, 77, 14, 29, 50, 71, 8, 40, 61, 82, 19, 33, 54, 75, 12, 25, 46, 67)
	L = (1, 45)(2, 49)(3, 46)(4, 43)(5, 55)(6, 59)(7, 50)(8, 44)(9, 62)(10, 61)(11, 48)(12, 57)(13, 56)(14, 47)(15, 60)(16, 52)(17, 53)(18, 54)(19, 58)(20, 63)(21, 51)(22, 66)(23, 70)(24, 67)(25, 64)(26, 76)(27, 80)(28, 71)(29, 65)(30, 83)(31, 82)(32, 69)(33, 78)(34, 77)(35, 68)(36, 81)(37, 73)(38, 74)(39, 75)(40, 79)(41, 84)(42, 72)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E19.21
Transitivity :: VT+
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.19 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7, 7})
Quotient :: toric
Aut^+ = C7 : C3 (small group id <21, 1>)
Aut   = (C7 : C3) : C2 (small group id <42, 1>)
|r| :: 2
Presentation :: [ S^2, A^3, A * B * Z, B^3, Z^-2 * A^-1 * B^-1, (S * Z)^2, S * B * S * A, A^-1 * Z^2 * B^-1 * Z ]
Map:: non-degenerate
	R = (1, 23, 44, 65, 2, 29, 50, 71, 8, 41, 62, 83, 20, 42, 63, 84, 21, 36, 57, 78, 15, 26, 47, 68, 5, 22, 43, 64)(3, 33, 54, 75, 12, 28, 49, 70, 7, 38, 59, 80, 17, 32, 53, 74, 11, 39, 60, 81, 18, 34, 55, 76, 13, 24, 45, 66)(4, 27, 48, 69, 6, 40, 61, 82, 19, 35, 56, 77, 14, 30, 51, 72, 9, 31, 52, 73, 10, 37, 58, 79, 16, 25, 46, 67)
	L = (1, 45)(2, 49)(3, 48)(4, 57)(5, 60)(6, 43)(7, 52)(8, 53)(9, 47)(10, 44)(11, 61)(12, 56)(13, 58)(14, 63)(15, 59)(16, 62)(17, 46)(18, 51)(19, 50)(20, 55)(21, 54)(22, 70)(23, 74)(24, 77)(25, 64)(26, 66)(27, 71)(28, 67)(29, 76)(30, 65)(31, 83)(32, 72)(33, 73)(34, 69)(35, 68)(36, 81)(37, 78)(38, 82)(39, 79)(40, 84)(41, 75)(42, 80)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E19.23
Transitivity :: VT+
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.20 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7, 7})
Quotient :: toric
Aut^+ = C7 : C3 (small group id <21, 1>)
Aut   = (C7 : C3) : C2 (small group id <42, 1>)
|r| :: 2
Presentation :: [ S^2, Z * B^-1 * A^-1, A^3, B^3, A * Z^-2 * B, S * A * S * B, (S * Z)^2, A^-1 * Z^-2 * B^-1 * Z^-1 ]
Map::
	R = (1, 23, 44, 65, 2, 29, 50, 71, 8, 41, 62, 83, 20, 42, 63, 84, 21, 37, 58, 79, 16, 26, 47, 68, 5, 22, 43, 64)(3, 33, 54, 75, 12, 30, 51, 72, 9, 39, 60, 81, 18, 36, 57, 78, 15, 28, 49, 70, 7, 34, 55, 76, 13, 24, 45, 66)(4, 35, 56, 77, 14, 38, 59, 80, 17, 32, 53, 74, 11, 31, 52, 73, 10, 40, 61, 82, 19, 27, 48, 69, 6, 25, 46, 67)
	L = (1, 45)(2, 51)(3, 48)(4, 50)(5, 49)(6, 43)(7, 59)(8, 57)(9, 53)(10, 62)(11, 44)(12, 56)(13, 52)(14, 63)(15, 46)(16, 60)(17, 47)(18, 61)(19, 58)(20, 55)(21, 54)(22, 70)(23, 66)(24, 73)(25, 64)(26, 81)(27, 79)(28, 67)(29, 72)(30, 77)(31, 65)(32, 68)(33, 69)(34, 80)(35, 71)(36, 82)(37, 75)(38, 84)(39, 74)(40, 83)(41, 78)(42, 76)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.21 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7, 7})
Quotient :: toric
Aut^+ = C7 : C3 (small group id <21, 1>)
Aut   = (C7 : C3) : C2 (small group id <42, 1>)
|r| :: 2
Presentation :: [ S^2, B^3, A^3, A^-1 * Z * A^-1 * B, Z * B^-1 * Z * A^-1, A * B^-1 * Z * B^-1, S * A * S * B, (S * Z)^2, Z * A * B * Z, Z^-1 * B^-1 * Z^2 * B ]
Map:: non-degenerate
	R = (1, 23, 44, 65, 2, 29, 50, 71, 8, 37, 58, 79, 16, 41, 62, 83, 20, 35, 56, 77, 14, 26, 47, 68, 5, 22, 43, 64)(3, 34, 55, 76, 13, 30, 51, 72, 9, 42, 63, 84, 21, 28, 49, 70, 7, 38, 59, 80, 17, 33, 54, 75, 12, 24, 45, 66)(4, 36, 57, 78, 15, 27, 48, 69, 6, 39, 60, 81, 18, 31, 52, 73, 10, 40, 61, 82, 19, 32, 53, 74, 11, 25, 46, 67)
	L = (1, 45)(2, 51)(3, 48)(4, 58)(5, 59)(6, 43)(7, 60)(8, 49)(9, 53)(10, 62)(11, 44)(12, 46)(13, 52)(14, 63)(15, 56)(16, 54)(17, 61)(18, 50)(19, 47)(20, 55)(21, 57)(22, 70)(23, 75)(24, 74)(25, 64)(26, 72)(27, 83)(28, 67)(29, 76)(30, 81)(31, 65)(32, 77)(33, 73)(34, 78)(35, 66)(36, 71)(37, 84)(38, 69)(39, 68)(40, 79)(41, 80)(42, 82)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E19.18
Transitivity :: VT+
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.22 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7, 7})
Quotient :: toric
Aut^+ = C7 : C3 (small group id <21, 1>)
Aut   = (C7 : C3) : C2 (small group id <42, 1>)
|r| :: 2
Presentation :: [ S^2, B * A * Z, B^3, A^3, Z * A * Z^-1 * B, (S * Z)^2, S * A * S * B, Z^3 * B^-1 * A^-1, Z^-1 * B^-1 * A * B * A^-1 * Z^-1 ]
Map:: non-degenerate
	R = (1, 23, 44, 65, 2, 29, 50, 71, 8, 33, 54, 75, 12, 40, 61, 82, 19, 39, 60, 81, 18, 26, 47, 68, 5, 22, 43, 64)(3, 28, 49, 70, 7, 30, 51, 72, 9, 32, 53, 74, 11, 41, 62, 83, 20, 37, 58, 79, 16, 34, 55, 76, 13, 24, 45, 66)(4, 31, 52, 73, 10, 42, 63, 84, 21, 38, 59, 80, 17, 27, 48, 69, 6, 35, 56, 77, 14, 36, 57, 78, 15, 25, 46, 67)
	L = (1, 45)(2, 51)(3, 48)(4, 47)(5, 58)(6, 43)(7, 57)(8, 62)(9, 52)(10, 44)(11, 59)(12, 55)(13, 63)(14, 50)(15, 61)(16, 46)(17, 60)(18, 53)(19, 49)(20, 56)(21, 54)(22, 70)(23, 74)(24, 77)(25, 64)(26, 76)(27, 65)(28, 67)(29, 79)(30, 84)(31, 71)(32, 69)(33, 66)(34, 80)(35, 75)(36, 81)(37, 73)(38, 68)(39, 83)(40, 72)(41, 78)(42, 82)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.23 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7, 7})
Quotient :: toric
Aut^+ = C7 : C3 (small group id <21, 1>)
Aut   = (C7 : C3) : C2 (small group id <42, 1>)
|r| :: 2
Presentation :: [ S^2, Z^-1 * B * A, A^3, B^3, S * A * S * B, Z^-1 * A * Z * B, (S * Z)^2, A^-1 * Z^-3 * B^-1 ]
Map:: non-degenerate
	R = (1, 23, 44, 65, 2, 29, 50, 71, 8, 40, 61, 82, 19, 33, 54, 75, 12, 38, 59, 80, 17, 26, 47, 68, 5, 22, 43, 64)(3, 32, 53, 74, 11, 30, 51, 72, 9, 41, 62, 83, 20, 39, 60, 81, 18, 37, 58, 79, 16, 28, 49, 70, 7, 24, 45, 66)(4, 35, 56, 77, 14, 34, 55, 76, 13, 27, 48, 69, 6, 31, 52, 73, 10, 42, 63, 84, 21, 36, 57, 78, 15, 25, 46, 67)
	L = (1, 45)(2, 51)(3, 48)(4, 44)(5, 58)(6, 43)(7, 56)(8, 60)(9, 46)(10, 50)(11, 63)(12, 53)(13, 59)(14, 61)(15, 47)(16, 57)(17, 62)(18, 52)(19, 49)(20, 55)(21, 54)(22, 70)(23, 74)(24, 76)(25, 64)(26, 81)(27, 68)(28, 67)(29, 83)(30, 78)(31, 65)(32, 73)(33, 66)(34, 75)(35, 71)(36, 80)(37, 84)(38, 72)(39, 69)(40, 79)(41, 77)(42, 82)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E19.19
Transitivity :: VT+
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.24 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7, 7})
Quotient :: toric
Aut^+ = C21 (small group id <21, 2>)
Aut   = C3 x D14 (small group id <42, 4>)
|r| :: 2
Presentation :: [ S^2, B * A, A * B^-2, S * B * S * A, (Z, B), (Z, A^-1), (S * Z)^2, Z^7 ]
Map:: non-degenerate
	R = (1, 23, 44, 65, 2, 27, 48, 69, 6, 33, 54, 75, 12, 38, 59, 80, 17, 32, 53, 74, 11, 26, 47, 68, 5, 22, 43, 64)(3, 28, 49, 70, 7, 34, 55, 76, 13, 39, 60, 81, 18, 41, 62, 83, 20, 36, 57, 78, 15, 30, 51, 72, 9, 24, 45, 66)(4, 29, 50, 71, 8, 35, 56, 77, 14, 40, 61, 82, 19, 42, 63, 84, 21, 37, 58, 79, 16, 31, 52, 73, 10, 25, 46, 67)
	L = (1, 45)(2, 49)(3, 46)(4, 43)(5, 51)(6, 55)(7, 50)(8, 44)(9, 52)(10, 47)(11, 57)(12, 60)(13, 56)(14, 48)(15, 58)(16, 53)(17, 62)(18, 61)(19, 54)(20, 63)(21, 59)(22, 66)(23, 70)(24, 67)(25, 64)(26, 72)(27, 76)(28, 71)(29, 65)(30, 73)(31, 68)(32, 78)(33, 81)(34, 77)(35, 69)(36, 79)(37, 74)(38, 83)(39, 82)(40, 75)(41, 84)(42, 80)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.25 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7, 7})
Quotient :: toric
Aut^+ = C21 (small group id <21, 2>)
Aut   = C3 x D14 (small group id <42, 4>)
|r| :: 2
Presentation :: [ S^2, Z^-1 * B^-1 * Z^-1 * A^-1, (Z, A^-1), B^2 * Z * A^-1, B * Z * B * A^-1, S * A * S * B, (B^-1, Z^-1), (S * Z)^2, B^-2 * Z^-1 * A, A * B * A * B * A * Z^-1 * B, Z^2 * B^-4 * A^-1, Z^7 ]
Map:: non-degenerate
	R = (1, 23, 44, 65, 2, 29, 50, 71, 8, 37, 58, 79, 16, 40, 61, 82, 19, 35, 56, 77, 14, 26, 47, 68, 5, 22, 43, 64)(3, 30, 51, 72, 9, 28, 49, 70, 7, 33, 54, 75, 12, 39, 60, 81, 18, 41, 62, 83, 20, 36, 57, 78, 15, 24, 45, 66)(4, 31, 52, 73, 10, 27, 48, 69, 6, 32, 53, 74, 11, 38, 59, 80, 17, 42, 63, 84, 21, 34, 55, 76, 13, 25, 46, 67)
	L = (1, 45)(2, 51)(3, 55)(4, 56)(5, 57)(6, 43)(7, 52)(8, 49)(9, 46)(10, 47)(11, 44)(12, 48)(13, 61)(14, 62)(15, 63)(16, 54)(17, 50)(18, 53)(19, 60)(20, 59)(21, 58)(22, 70)(23, 75)(24, 73)(25, 64)(26, 72)(27, 71)(28, 74)(29, 81)(30, 69)(31, 65)(32, 79)(33, 80)(34, 68)(35, 66)(36, 67)(37, 83)(38, 82)(39, 84)(40, 78)(41, 76)(42, 77)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.26 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7, 7})
Quotient :: toric
Aut^+ = C21 (small group id <21, 2>)
Aut   = C3 x D14 (small group id <42, 4>)
|r| :: 2
Presentation :: [ S^2, Z * A^-3, B^2 * Z^-1 * B, (S * Z)^2, S * A * S * B, (Z^-1, B), (A, B^-1), Z^-1 * A^-1 * B^-1 * A^-1 * B^-1, A^2 * B^2 * Z, B^-1 * Z^3 * A^-1, Z * A * Z * B^-1 * A, B * Z^2 * B * A^-1 ]
Map:: non-degenerate
	R = (1, 23, 44, 65, 2, 29, 50, 71, 8, 34, 55, 76, 13, 42, 63, 84, 21, 39, 60, 81, 18, 26, 47, 68, 5, 22, 43, 64)(3, 30, 51, 72, 9, 38, 59, 80, 17, 41, 62, 83, 20, 28, 49, 70, 7, 33, 54, 75, 12, 35, 56, 77, 14, 24, 45, 66)(4, 31, 52, 73, 10, 36, 57, 78, 15, 40, 61, 82, 19, 27, 48, 69, 6, 32, 53, 74, 11, 37, 58, 79, 16, 25, 46, 67)
	L = (1, 45)(2, 51)(3, 53)(4, 55)(5, 56)(6, 43)(7, 57)(8, 59)(9, 58)(10, 63)(11, 44)(12, 61)(13, 62)(14, 48)(15, 60)(16, 50)(17, 46)(18, 54)(19, 47)(20, 52)(21, 49)(22, 70)(23, 75)(24, 78)(25, 64)(26, 83)(27, 84)(28, 79)(29, 77)(30, 82)(31, 65)(32, 81)(33, 67)(34, 66)(35, 73)(36, 71)(37, 68)(38, 69)(39, 80)(40, 76)(41, 74)(42, 72)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.27 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7, 7})
Quotient :: toric
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, A^3, B * A * B, (Z, B), S * B * S * A, (A^-1, Z), (S * Z)^2, Z^7 ]
Map::
	R = (1, 23, 44, 65, 2, 27, 48, 69, 6, 33, 54, 75, 12, 37, 58, 79, 16, 31, 52, 73, 10, 25, 46, 67, 4, 22, 43, 64)(3, 28, 49, 70, 7, 34, 55, 76, 13, 39, 60, 81, 18, 41, 62, 83, 20, 36, 57, 78, 15, 30, 51, 72, 9, 24, 45, 66)(5, 29, 50, 71, 8, 35, 56, 77, 14, 40, 61, 82, 19, 42, 63, 84, 21, 38, 59, 80, 17, 32, 53, 74, 11, 26, 47, 68)
	L = (1, 45)(2, 49)(3, 47)(4, 51)(5, 43)(6, 55)(7, 50)(8, 44)(9, 53)(10, 57)(11, 46)(12, 60)(13, 56)(14, 48)(15, 59)(16, 62)(17, 52)(18, 61)(19, 54)(20, 63)(21, 58)(22, 68)(23, 71)(24, 64)(25, 74)(26, 66)(27, 77)(28, 65)(29, 70)(30, 67)(31, 80)(32, 72)(33, 82)(34, 69)(35, 76)(36, 73)(37, 84)(38, 78)(39, 75)(40, 81)(41, 79)(42, 83)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.28 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7, 7})
Quotient :: toric
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, B * A^-1, B * Z * A^-1 * Z^-1, (S * Z)^2, S * B * S * A, A^-3 * Z^-3, Z^-1 * A^6, Z^2 * B^-1 * Z * B^-2 * Z, Z^7 ]
Map::
	R = (1, 23, 44, 65, 2, 27, 48, 69, 6, 35, 56, 77, 14, 40, 61, 82, 19, 32, 53, 74, 11, 25, 46, 67, 4, 22, 43, 64)(3, 28, 49, 70, 7, 36, 57, 78, 15, 34, 55, 76, 13, 39, 60, 81, 18, 42, 63, 84, 21, 31, 52, 73, 10, 24, 45, 66)(5, 29, 50, 71, 8, 37, 58, 79, 16, 41, 62, 83, 20, 30, 51, 72, 9, 38, 59, 80, 17, 33, 54, 75, 12, 26, 47, 68)
	L = (1, 45)(2, 49)(3, 51)(4, 52)(5, 43)(6, 57)(7, 59)(8, 44)(9, 61)(10, 62)(11, 63)(12, 46)(13, 47)(14, 55)(15, 54)(16, 48)(17, 53)(18, 50)(19, 60)(20, 56)(21, 58)(22, 68)(23, 71)(24, 64)(25, 75)(26, 76)(27, 79)(28, 65)(29, 81)(30, 66)(31, 67)(32, 80)(33, 78)(34, 77)(35, 83)(36, 69)(37, 84)(38, 70)(39, 82)(40, 72)(41, 73)(42, 74)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.29 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7, 7})
Quotient :: toric
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, A^-3 * Z, (A^-1, Z^-1), S * B * S * A, (S * Z)^2, Z^7 ]
Map::
	R = (1, 23, 44, 65, 2, 27, 48, 69, 6, 33, 54, 75, 12, 37, 58, 79, 16, 31, 52, 73, 10, 25, 46, 67, 4, 22, 43, 64)(3, 28, 49, 70, 7, 34, 55, 76, 13, 39, 60, 81, 18, 41, 62, 83, 20, 36, 57, 78, 15, 30, 51, 72, 9, 24, 45, 66)(5, 29, 50, 71, 8, 35, 56, 77, 14, 40, 61, 82, 19, 42, 63, 84, 21, 38, 59, 80, 17, 32, 53, 74, 11, 26, 47, 68)
	L = (1, 45)(2, 49)(3, 50)(4, 51)(5, 43)(6, 55)(7, 56)(8, 44)(9, 47)(10, 57)(11, 46)(12, 60)(13, 61)(14, 48)(15, 53)(16, 62)(17, 52)(18, 63)(19, 54)(20, 59)(21, 58)(22, 68)(23, 71)(24, 64)(25, 74)(26, 72)(27, 77)(28, 65)(29, 66)(30, 67)(31, 80)(32, 78)(33, 82)(34, 69)(35, 70)(36, 73)(37, 84)(38, 83)(39, 75)(40, 76)(41, 79)(42, 81)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.30 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, A * B * A, (S * Z)^2, Z^4, S * B * S * A, B * Z * A * Z^-1 * A * Z^-1, Z * A * Z * B * Z * A ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 28, 52, 76, 4, 25, 49, 73)(3, 33, 57, 81, 9, 39, 63, 87, 15, 34, 58, 82, 10, 27, 51, 75)(5, 37, 61, 85, 13, 40, 64, 88, 16, 38, 62, 86, 14, 29, 53, 77)(7, 41, 65, 89, 17, 35, 59, 83, 11, 42, 66, 90, 18, 31, 55, 79)(8, 43, 67, 91, 19, 36, 60, 84, 12, 44, 68, 92, 20, 32, 56, 80)(21, 47, 71, 95, 23, 46, 70, 94, 22, 48, 72, 96, 24, 45, 69, 93)
	L = (1, 51)(2, 55)(3, 53)(4, 59)(5, 49)(6, 63)(7, 56)(8, 50)(9, 67)(10, 68)(11, 60)(12, 52)(13, 71)(14, 72)(15, 64)(16, 54)(17, 62)(18, 61)(19, 69)(20, 70)(21, 57)(22, 58)(23, 66)(24, 65)(25, 77)(26, 80)(27, 73)(28, 84)(29, 75)(30, 88)(31, 74)(32, 79)(33, 93)(34, 94)(35, 76)(36, 83)(37, 90)(38, 89)(39, 78)(40, 87)(41, 96)(42, 95)(43, 81)(44, 82)(45, 91)(46, 92)(47, 85)(48, 86)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.31 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = SL(2,3) : C2 (small group id <48, 33>)
|r| :: 2
Presentation :: [ S^2, Z * A * B, A^3, B^3, (S * Z)^2, Z^4, S * B * S * A, A * Z^-1 * A * B^-1 * Z^-1, B * A * Z^-1 * A^-1 * B^-1 * Z^-1, (Z^-1 * A * Z * B)^4 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 29, 53, 77, 5, 25, 49, 73)(3, 36, 60, 84, 12, 35, 59, 83, 11, 37, 61, 85, 13, 27, 51, 75)(4, 30, 54, 78, 6, 44, 68, 92, 20, 40, 64, 88, 16, 28, 52, 76)(7, 41, 65, 89, 17, 42, 66, 90, 18, 46, 70, 94, 22, 31, 55, 79)(9, 34, 58, 82, 10, 38, 62, 86, 14, 43, 67, 91, 19, 33, 57, 81)(15, 48, 72, 96, 24, 45, 69, 93, 21, 47, 71, 95, 23, 39, 63, 87)
	L = (1, 51)(2, 55)(3, 54)(4, 63)(5, 66)(6, 49)(7, 58)(8, 59)(9, 71)(10, 50)(11, 64)(12, 62)(13, 57)(14, 72)(15, 65)(16, 56)(17, 52)(18, 67)(19, 53)(20, 69)(21, 70)(22, 68)(23, 61)(24, 60)(25, 79)(26, 83)(27, 86)(28, 73)(29, 75)(30, 93)(31, 76)(32, 90)(33, 74)(34, 96)(35, 81)(36, 88)(37, 78)(38, 77)(39, 84)(40, 87)(41, 91)(42, 92)(43, 95)(44, 80)(45, 85)(46, 82)(47, 89)(48, 94)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.32 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A * Z^2, B * Z^-1 * A^-1 * Z^-1, (A^-1, Z^-1), B^-1 * A * Z^-2, A * Z^-1 * B^-1 * Z^-1, B * A^-1 * Z^-2, (B^-1, Z^-1), (A^-1 * B)^2, S * B * S * A, (A, B), (S * Z)^2, B^-1 * A^-1 * B^-1 * A^-3, (B * A * B)^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 28, 52, 76, 4, 34, 58, 82, 10, 27, 51, 75)(6, 35, 59, 83, 11, 31, 55, 79, 7, 36, 60, 84, 12, 30, 54, 78)(13, 41, 65, 89, 17, 38, 62, 86, 14, 42, 66, 90, 18, 37, 61, 85)(15, 43, 67, 91, 19, 40, 64, 88, 16, 44, 68, 92, 20, 39, 63, 87)(21, 47, 71, 95, 23, 46, 70, 94, 22, 48, 72, 96, 24, 45, 69, 93)
	L = (1, 51)(2, 57)(3, 61)(4, 62)(5, 58)(6, 49)(7, 56)(8, 52)(9, 65)(10, 66)(11, 50)(12, 53)(13, 69)(14, 70)(15, 54)(16, 55)(17, 71)(18, 72)(19, 59)(20, 60)(21, 63)(22, 64)(23, 67)(24, 68)(25, 79)(26, 84)(27, 80)(28, 73)(29, 83)(30, 88)(31, 87)(32, 78)(33, 77)(34, 74)(35, 92)(36, 91)(37, 76)(38, 75)(39, 94)(40, 93)(41, 82)(42, 81)(43, 96)(44, 95)(45, 86)(46, 85)(47, 90)(48, 89)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.33 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ A^2, S^2, B^2, Z^-1 * B * A * Z^-1, A * B * Z^-2, (A * B)^2, S * B * S * A, (S * Z)^2, B * Z^-1 * A * Z * A * Z * A * Z^-1 * A * Z^-1 * A * Z^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 28, 52, 76, 4, 34, 58, 82, 10, 27, 51, 75)(7, 35, 59, 83, 11, 32, 56, 80, 8, 36, 60, 84, 12, 31, 55, 79)(13, 41, 65, 89, 17, 38, 62, 86, 14, 42, 66, 90, 18, 37, 61, 85)(15, 43, 67, 91, 19, 40, 64, 88, 16, 44, 68, 92, 20, 39, 63, 87)(21, 47, 71, 95, 23, 46, 70, 94, 22, 48, 72, 96, 24, 45, 69, 93)
	L = (1, 51)(2, 55)(3, 49)(4, 54)(5, 56)(6, 52)(7, 50)(8, 53)(9, 61)(10, 62)(11, 63)(12, 64)(13, 57)(14, 58)(15, 59)(16, 60)(17, 69)(18, 70)(19, 71)(20, 72)(21, 65)(22, 66)(23, 67)(24, 68)(25, 76)(26, 80)(27, 78)(28, 73)(29, 79)(30, 75)(31, 77)(32, 74)(33, 86)(34, 85)(35, 88)(36, 87)(37, 82)(38, 81)(39, 84)(40, 83)(41, 94)(42, 93)(43, 96)(44, 95)(45, 90)(46, 89)(47, 92)(48, 91)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.34 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, Z * B * A * Z, A^-1 * Z^2 * A^-1, A * B * Z^2, S * B * S * A, (S * Z)^2, Z^4, B^-1 * Z^-1 * B^-1 * Z^-1 * B^-1 * Z^-1 * A * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 28, 52, 76, 4, 25, 49, 73)(3, 33, 57, 81, 9, 29, 53, 77, 5, 34, 58, 82, 10, 27, 51, 75)(7, 35, 59, 83, 11, 32, 56, 80, 8, 36, 60, 84, 12, 31, 55, 79)(13, 41, 65, 89, 17, 38, 62, 86, 14, 42, 66, 90, 18, 37, 61, 85)(15, 43, 67, 91, 19, 40, 64, 88, 16, 44, 68, 92, 20, 39, 63, 87)(21, 48, 72, 96, 24, 46, 70, 94, 22, 47, 71, 95, 23, 45, 69, 93)
	L = (1, 51)(2, 55)(3, 54)(4, 56)(5, 49)(6, 53)(7, 52)(8, 50)(9, 61)(10, 62)(11, 63)(12, 64)(13, 58)(14, 57)(15, 60)(16, 59)(17, 69)(18, 70)(19, 71)(20, 72)(21, 66)(22, 65)(23, 68)(24, 67)(25, 77)(26, 80)(27, 73)(28, 79)(29, 78)(30, 75)(31, 74)(32, 76)(33, 86)(34, 85)(35, 88)(36, 87)(37, 81)(38, 82)(39, 83)(40, 84)(41, 94)(42, 93)(43, 96)(44, 95)(45, 89)(46, 90)(47, 91)(48, 92)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.35 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ S^2, B * A, B * A, (Z^-1 * B^-1)^2, Z^4, S * B * S * A, B * Z^-1 * A^-1 * Z^-1, (A * Z^-1)^2, (S * Z)^2, B^4 * A^-2 * Z^2, A^2 * Z^-1 * B * A^-3 * Z^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 37, 61, 85, 13, 32, 56, 80, 8, 27, 51, 75)(4, 35, 59, 83, 11, 38, 62, 86, 14, 31, 55, 79, 7, 28, 52, 76)(10, 40, 64, 88, 16, 45, 69, 93, 21, 41, 65, 89, 17, 34, 58, 82)(12, 39, 63, 87, 15, 46, 70, 94, 22, 43, 67, 91, 19, 36, 60, 84)(18, 47, 71, 95, 23, 44, 68, 92, 20, 48, 72, 96, 24, 42, 66, 90)
	L = (1, 51)(2, 55)(3, 58)(4, 49)(5, 59)(6, 61)(7, 63)(8, 50)(9, 53)(10, 66)(11, 67)(12, 52)(13, 69)(14, 54)(15, 71)(16, 56)(17, 57)(18, 70)(19, 72)(20, 60)(21, 68)(22, 62)(23, 65)(24, 64)(25, 75)(26, 79)(27, 82)(28, 73)(29, 83)(30, 85)(31, 87)(32, 74)(33, 77)(34, 90)(35, 91)(36, 76)(37, 93)(38, 78)(39, 95)(40, 80)(41, 81)(42, 94)(43, 96)(44, 84)(45, 92)(46, 86)(47, 89)(48, 88)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.36 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ S^2, A * B, A^-1 * B^-1, (S * Z)^2, Z^-1 * B * Z * A^-1, S * B * S * A, Z^4, Z^-1 * A * Z * B^-1, A^2 * Z^-1 * B * A^-3 * Z^-1, Z^-1 * A^2 * Z^-2 * A^-2 * Z^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 29, 53, 77, 5, 25, 49, 73)(3, 32, 56, 80, 8, 37, 61, 85, 13, 34, 58, 82, 10, 27, 51, 75)(4, 31, 55, 79, 7, 38, 62, 86, 14, 36, 60, 84, 12, 28, 52, 76)(9, 40, 64, 88, 16, 45, 69, 93, 21, 42, 66, 90, 18, 33, 57, 81)(11, 39, 63, 87, 15, 46, 70, 94, 22, 44, 68, 92, 20, 35, 59, 83)(17, 48, 72, 96, 24, 43, 67, 91, 19, 47, 71, 95, 23, 41, 65, 89)
	L = (1, 51)(2, 55)(3, 57)(4, 49)(5, 60)(6, 61)(7, 63)(8, 50)(9, 65)(10, 53)(11, 52)(12, 68)(13, 69)(14, 54)(15, 71)(16, 56)(17, 70)(18, 58)(19, 59)(20, 72)(21, 67)(22, 62)(23, 66)(24, 64)(25, 75)(26, 79)(27, 81)(28, 73)(29, 84)(30, 85)(31, 87)(32, 74)(33, 89)(34, 77)(35, 76)(36, 92)(37, 93)(38, 78)(39, 95)(40, 80)(41, 94)(42, 82)(43, 83)(44, 96)(45, 91)(46, 86)(47, 90)(48, 88)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.37 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, (A * B^-1)^2, Z^-1 * A^-1 * B * Z^-1, Z^4, S * B * S * A, B * A^-1 * Z^-2, (S * Z)^2, B * Z^-1 * A * Z * A * Z * A^-1 * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 28, 52, 76, 4, 34, 58, 82, 10, 27, 51, 75)(7, 35, 59, 83, 11, 32, 56, 80, 8, 36, 60, 84, 12, 31, 55, 79)(13, 41, 65, 89, 17, 38, 62, 86, 14, 42, 66, 90, 18, 37, 61, 85)(15, 43, 67, 91, 19, 40, 64, 88, 16, 44, 68, 92, 20, 39, 63, 87)(21, 47, 71, 95, 23, 46, 70, 94, 22, 48, 72, 96, 24, 45, 69, 93)
	L = (1, 51)(2, 55)(3, 54)(4, 49)(5, 56)(6, 52)(7, 53)(8, 50)(9, 61)(10, 62)(11, 63)(12, 64)(13, 58)(14, 57)(15, 60)(16, 59)(17, 69)(18, 70)(19, 71)(20, 72)(21, 66)(22, 65)(23, 68)(24, 67)(25, 75)(26, 79)(27, 78)(28, 73)(29, 80)(30, 76)(31, 77)(32, 74)(33, 85)(34, 86)(35, 87)(36, 88)(37, 82)(38, 81)(39, 84)(40, 83)(41, 93)(42, 94)(43, 95)(44, 96)(45, 90)(46, 89)(47, 92)(48, 91)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.38 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, (A * B^-1)^2, B^2 * A^-2, Z^-1 * B^-1 * A * Z^-1, Z^4, S * B * S * A, B * A^-1 * Z^-2, (S * Z)^2, A * Z^-1 * B * Z * A * Z * B^-1 * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 28, 52, 76, 4, 34, 58, 82, 10, 27, 51, 75)(7, 35, 59, 83, 11, 32, 56, 80, 8, 36, 60, 84, 12, 31, 55, 79)(13, 41, 65, 89, 17, 38, 62, 86, 14, 42, 66, 90, 18, 37, 61, 85)(15, 43, 67, 91, 19, 40, 64, 88, 16, 44, 68, 92, 20, 39, 63, 87)(21, 48, 72, 96, 24, 46, 70, 94, 22, 47, 71, 95, 23, 45, 69, 93)
	L = (1, 51)(2, 55)(3, 54)(4, 49)(5, 56)(6, 52)(7, 53)(8, 50)(9, 61)(10, 62)(11, 63)(12, 64)(13, 58)(14, 57)(15, 60)(16, 59)(17, 69)(18, 70)(19, 71)(20, 72)(21, 66)(22, 65)(23, 68)(24, 67)(25, 75)(26, 79)(27, 78)(28, 73)(29, 80)(30, 76)(31, 77)(32, 74)(33, 85)(34, 86)(35, 87)(36, 88)(37, 82)(38, 81)(39, 84)(40, 83)(41, 93)(42, 94)(43, 95)(44, 96)(45, 90)(46, 89)(47, 92)(48, 91)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.39 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
|r| :: 2
Presentation :: [ S^2, A^-1 * Z^-2 * B^-1, A * Z^-1 * B^-1 * Z^-1, A^-1 * Z^-1 * B * Z^-1, (A^-1, B^-1), B * Z * B * Z^-1, B * A^2 * B, B * A * Z^2, Z^-1 * B * A * Z^-1, (S * Z)^2, S * B * S * A, A^-1 * B * A^-3 * B, A^-1 * B * A^-1 * Z^-1 * A^-3 * Z^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 29, 53, 77, 5, 25, 49, 73)(3, 35, 59, 83, 11, 31, 55, 79, 7, 34, 58, 82, 10, 27, 51, 75)(4, 36, 60, 84, 12, 30, 54, 78, 6, 33, 57, 81, 9, 28, 52, 76)(13, 43, 67, 91, 19, 38, 62, 86, 14, 44, 68, 92, 20, 37, 61, 85)(15, 41, 65, 89, 17, 40, 64, 88, 16, 42, 66, 90, 18, 39, 63, 87)(21, 47, 71, 95, 23, 46, 70, 94, 22, 48, 72, 96, 24, 45, 69, 93)
	L = (1, 51)(2, 57)(3, 61)(4, 56)(5, 60)(6, 49)(7, 62)(8, 55)(9, 65)(10, 53)(11, 50)(12, 66)(13, 69)(14, 70)(15, 54)(16, 52)(17, 71)(18, 72)(19, 59)(20, 58)(21, 63)(22, 64)(23, 67)(24, 68)(25, 79)(26, 84)(27, 86)(28, 73)(29, 81)(30, 80)(31, 85)(32, 75)(33, 90)(34, 74)(35, 77)(36, 89)(37, 94)(38, 93)(39, 76)(40, 78)(41, 96)(42, 95)(43, 82)(44, 83)(45, 88)(46, 87)(47, 92)(48, 91)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.40 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
|r| :: 2
Presentation :: [ S^2, A^-1 * Z^-1 * A^-1 * Z, B * Z^2 * A, Z^4, B * Z * B * Z^-1, B^-1 * Z^-1 * A * Z^-1, A^-1 * B^-1 * Z^2, (S * Z)^2, B * Z^-1 * A^-1 * Z^-1, A^-1 * Z^2 * B^-1, S * B * S * A, Z^-1 * A^-1 * B^-1 * Z^-1, B * A^-1 * B^2 * A^-2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 29, 53, 77, 5, 25, 49, 73)(3, 35, 59, 83, 11, 31, 55, 79, 7, 34, 58, 82, 10, 27, 51, 75)(4, 36, 60, 84, 12, 30, 54, 78, 6, 33, 57, 81, 9, 28, 52, 76)(13, 43, 67, 91, 19, 38, 62, 86, 14, 44, 68, 92, 20, 37, 61, 85)(15, 41, 65, 89, 17, 40, 64, 88, 16, 42, 66, 90, 18, 39, 63, 87)(21, 48, 72, 96, 24, 46, 70, 94, 22, 47, 71, 95, 23, 45, 69, 93)
	L = (1, 51)(2, 57)(3, 61)(4, 56)(5, 60)(6, 49)(7, 62)(8, 55)(9, 65)(10, 53)(11, 50)(12, 66)(13, 69)(14, 70)(15, 54)(16, 52)(17, 71)(18, 72)(19, 59)(20, 58)(21, 64)(22, 63)(23, 68)(24, 67)(25, 79)(26, 84)(27, 86)(28, 73)(29, 81)(30, 80)(31, 85)(32, 75)(33, 90)(34, 74)(35, 77)(36, 89)(37, 94)(38, 93)(39, 76)(40, 78)(41, 96)(42, 95)(43, 82)(44, 83)(45, 87)(46, 88)(47, 91)(48, 92)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.41 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ A^2, S^2, B^-1 * A, (S * Z)^2, Z^4, S * A * S * B, (A * Z^-2)^2, A * Z^-1 * A * Z^-1 * A * Z * A * Z^-1 * A * Z^-1 * A * Z^-1 ]
Map::
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 28, 52, 76, 4, 25, 49, 73)(3, 31, 55, 79, 7, 34, 58, 82, 10, 32, 56, 80, 8, 27, 51, 75)(6, 35, 59, 83, 11, 33, 57, 81, 9, 36, 60, 84, 12, 30, 54, 78)(13, 41, 65, 89, 17, 38, 62, 86, 14, 42, 66, 90, 18, 37, 61, 85)(15, 43, 67, 91, 19, 40, 64, 88, 16, 44, 68, 92, 20, 39, 63, 87)(21, 47, 71, 95, 23, 46, 70, 94, 22, 48, 72, 96, 24, 45, 69, 93)
	L = (1, 51)(2, 54)(3, 49)(4, 57)(5, 58)(6, 50)(7, 61)(8, 62)(9, 52)(10, 53)(11, 63)(12, 64)(13, 55)(14, 56)(15, 59)(16, 60)(17, 69)(18, 70)(19, 71)(20, 72)(21, 65)(22, 66)(23, 67)(24, 68)(25, 75)(26, 78)(27, 73)(28, 81)(29, 82)(30, 74)(31, 85)(32, 86)(33, 76)(34, 77)(35, 87)(36, 88)(37, 79)(38, 80)(39, 83)(40, 84)(41, 93)(42, 94)(43, 95)(44, 96)(45, 89)(46, 90)(47, 91)(48, 92)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.42 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ A^2, S^2, B^-1 * A, Z^4, (S * Z)^2, S * A * S * B, (A * Z^-2)^2, A * Z^-1 * A * Z^-1 * A * Z * A * Z * A * Z^-1 * A * Z^-1 ]
Map::
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 28, 52, 76, 4, 25, 49, 73)(3, 31, 55, 79, 7, 34, 58, 82, 10, 32, 56, 80, 8, 27, 51, 75)(6, 35, 59, 83, 11, 33, 57, 81, 9, 36, 60, 84, 12, 30, 54, 78)(13, 41, 65, 89, 17, 38, 62, 86, 14, 42, 66, 90, 18, 37, 61, 85)(15, 43, 67, 91, 19, 40, 64, 88, 16, 44, 68, 92, 20, 39, 63, 87)(21, 48, 72, 96, 24, 46, 70, 94, 22, 47, 71, 95, 23, 45, 69, 93)
	L = (1, 51)(2, 54)(3, 49)(4, 57)(5, 58)(6, 50)(7, 61)(8, 62)(9, 52)(10, 53)(11, 63)(12, 64)(13, 55)(14, 56)(15, 59)(16, 60)(17, 69)(18, 70)(19, 71)(20, 72)(21, 65)(22, 66)(23, 67)(24, 68)(25, 75)(26, 78)(27, 73)(28, 81)(29, 82)(30, 74)(31, 85)(32, 86)(33, 76)(34, 77)(35, 87)(36, 88)(37, 79)(38, 80)(39, 83)(40, 84)(41, 93)(42, 94)(43, 95)(44, 96)(45, 89)(46, 90)(47, 91)(48, 92)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.43 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ S^2, (A^-1 * Z^-1)^2, A^-1 * B^-1 * Z^2, Z^4, A * B^2 * A, S * B * S * A, (B^-1 * Z^-1)^2, B * Z * A^-1 * Z^-1, A^-1 * Z^-2 * B^-1, (S * Z)^2, Z^-1 * A^-1 * B^-1 * Z^-1, A^6, B * A^-1 * B^3 * A^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 29, 53, 77, 5, 25, 49, 73)(3, 34, 58, 82, 10, 31, 55, 79, 7, 35, 59, 83, 11, 27, 51, 75)(4, 33, 57, 81, 9, 30, 54, 78, 6, 36, 60, 84, 12, 28, 52, 76)(13, 43, 67, 91, 19, 38, 62, 86, 14, 44, 68, 92, 20, 37, 61, 85)(15, 41, 65, 89, 17, 40, 64, 88, 16, 42, 66, 90, 18, 39, 63, 87)(21, 48, 72, 96, 24, 46, 70, 94, 22, 47, 71, 95, 23, 45, 69, 93)
	L = (1, 51)(2, 57)(3, 61)(4, 56)(5, 60)(6, 49)(7, 62)(8, 55)(9, 65)(10, 53)(11, 50)(12, 66)(13, 69)(14, 70)(15, 54)(16, 52)(17, 71)(18, 72)(19, 59)(20, 58)(21, 63)(22, 64)(23, 67)(24, 68)(25, 79)(26, 84)(27, 86)(28, 73)(29, 81)(30, 80)(31, 85)(32, 75)(33, 90)(34, 74)(35, 77)(36, 89)(37, 94)(38, 93)(39, 76)(40, 78)(41, 96)(42, 95)(43, 82)(44, 83)(45, 88)(46, 87)(47, 92)(48, 91)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.44 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ S^2, B * Z^-1 * A^-1 * Z, B * Z^-2 * A, B * A * Z^2, (B^-1 * Z)^2, B * Z * A^-1 * Z^-1, (B^-1 * Z^-1)^2, A^-1 * Z^-2 * B^-1, (A^-1 * Z^-1)^2, (S * Z)^2, S * B * S * A, Z^-1 * B * A * Z^-1, B * A^-1 * B^2 * A^-2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 29, 53, 77, 5, 25, 49, 73)(3, 34, 58, 82, 10, 31, 55, 79, 7, 35, 59, 83, 11, 27, 51, 75)(4, 33, 57, 81, 9, 30, 54, 78, 6, 36, 60, 84, 12, 28, 52, 76)(13, 43, 67, 91, 19, 38, 62, 86, 14, 44, 68, 92, 20, 37, 61, 85)(15, 41, 65, 89, 17, 40, 64, 88, 16, 42, 66, 90, 18, 39, 63, 87)(21, 47, 71, 95, 23, 46, 70, 94, 22, 48, 72, 96, 24, 45, 69, 93)
	L = (1, 51)(2, 57)(3, 61)(4, 56)(5, 60)(6, 49)(7, 62)(8, 55)(9, 65)(10, 53)(11, 50)(12, 66)(13, 69)(14, 70)(15, 54)(16, 52)(17, 71)(18, 72)(19, 59)(20, 58)(21, 64)(22, 63)(23, 68)(24, 67)(25, 79)(26, 84)(27, 86)(28, 73)(29, 81)(30, 80)(31, 85)(32, 75)(33, 90)(34, 74)(35, 77)(36, 89)(37, 94)(38, 93)(39, 76)(40, 78)(41, 96)(42, 95)(43, 82)(44, 83)(45, 87)(46, 88)(47, 91)(48, 92)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.45 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ A^2, S^2, B^2, Z^-1 * B * A * Z^-1, A * B * Z^-2, (A * B)^2, S * B * S * A, (S * Z)^2, B * Z^-1 * A * Z * A * Z * B * Z^-1 * A * Z^-1 * A * Z^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 28, 52, 76, 4, 34, 58, 82, 10, 27, 51, 75)(7, 35, 59, 83, 11, 32, 56, 80, 8, 36, 60, 84, 12, 31, 55, 79)(13, 41, 65, 89, 17, 38, 62, 86, 14, 42, 66, 90, 18, 37, 61, 85)(15, 43, 67, 91, 19, 40, 64, 88, 16, 44, 68, 92, 20, 39, 63, 87)(21, 48, 72, 96, 24, 46, 70, 94, 22, 47, 71, 95, 23, 45, 69, 93)
	L = (1, 51)(2, 55)(3, 49)(4, 54)(5, 56)(6, 52)(7, 50)(8, 53)(9, 61)(10, 62)(11, 63)(12, 64)(13, 57)(14, 58)(15, 59)(16, 60)(17, 69)(18, 70)(19, 71)(20, 72)(21, 65)(22, 66)(23, 67)(24, 68)(25, 76)(26, 80)(27, 78)(28, 73)(29, 79)(30, 75)(31, 77)(32, 74)(33, 86)(34, 85)(35, 88)(36, 87)(37, 82)(38, 81)(39, 84)(40, 83)(41, 94)(42, 93)(43, 96)(44, 95)(45, 90)(46, 89)(47, 92)(48, 91)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.46 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, A^4, Z^4, Z^-1 * A^-2 * Z^-1, (S * Z)^2, S * B * S * A, A^-1 * Z^-1 * A * Z * A * Z * A^-1 * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 28, 52, 76, 4, 25, 49, 73)(3, 33, 57, 81, 9, 29, 53, 77, 5, 34, 58, 82, 10, 27, 51, 75)(7, 35, 59, 83, 11, 32, 56, 80, 8, 36, 60, 84, 12, 31, 55, 79)(13, 41, 65, 89, 17, 38, 62, 86, 14, 42, 66, 90, 18, 37, 61, 85)(15, 43, 67, 91, 19, 40, 64, 88, 16, 44, 68, 92, 20, 39, 63, 87)(21, 47, 71, 95, 23, 46, 70, 94, 22, 48, 72, 96, 24, 45, 69, 93)
	L = (1, 51)(2, 55)(3, 54)(4, 56)(5, 49)(6, 53)(7, 52)(8, 50)(9, 61)(10, 62)(11, 63)(12, 64)(13, 58)(14, 57)(15, 60)(16, 59)(17, 69)(18, 70)(19, 71)(20, 72)(21, 66)(22, 65)(23, 68)(24, 67)(25, 77)(26, 80)(27, 73)(28, 79)(29, 78)(30, 75)(31, 74)(32, 76)(33, 86)(34, 85)(35, 88)(36, 87)(37, 81)(38, 82)(39, 83)(40, 84)(41, 94)(42, 93)(43, 96)(44, 95)(45, 89)(46, 90)(47, 91)(48, 92)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.47 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, A * Z * B^-1 * Z^-1, (S * Z)^2, S * B * S * A, Z^4, Z^-1 * B * Z * A^-1, B^3 * A^-3 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 29, 53, 77, 5, 25, 49, 73)(3, 32, 56, 80, 8, 37, 61, 85, 13, 34, 58, 82, 10, 27, 51, 75)(4, 31, 55, 79, 7, 38, 62, 86, 14, 36, 60, 84, 12, 28, 52, 76)(9, 40, 64, 88, 16, 44, 68, 92, 20, 42, 66, 90, 18, 33, 57, 81)(11, 39, 63, 87, 15, 45, 69, 93, 21, 43, 67, 91, 19, 35, 59, 83)(17, 46, 70, 94, 22, 48, 72, 96, 24, 47, 71, 95, 23, 41, 65, 89)
	L = (1, 51)(2, 55)(3, 57)(4, 49)(5, 60)(6, 61)(7, 63)(8, 50)(9, 65)(10, 53)(11, 52)(12, 67)(13, 68)(14, 54)(15, 70)(16, 56)(17, 59)(18, 58)(19, 71)(20, 72)(21, 62)(22, 64)(23, 66)(24, 69)(25, 75)(26, 79)(27, 81)(28, 73)(29, 84)(30, 85)(31, 87)(32, 74)(33, 89)(34, 77)(35, 76)(36, 91)(37, 92)(38, 78)(39, 94)(40, 80)(41, 83)(42, 82)(43, 95)(44, 96)(45, 86)(46, 88)(47, 90)(48, 93)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.48 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A^-1, Z^4, S * B * S * A, (S * Z)^2, Z^-1 * A * Z^-1 * B^-1, B * Z^-1 * A^-1 * Z^-1, B^3 * A^-3 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 37, 61, 85, 13, 32, 56, 80, 8, 27, 51, 75)(4, 35, 59, 83, 11, 38, 62, 86, 14, 31, 55, 79, 7, 28, 52, 76)(10, 40, 64, 88, 16, 44, 68, 92, 20, 41, 65, 89, 17, 34, 58, 82)(12, 39, 63, 87, 15, 45, 69, 93, 21, 43, 67, 91, 19, 36, 60, 84)(18, 47, 71, 95, 23, 48, 72, 96, 24, 46, 70, 94, 22, 42, 66, 90)
	L = (1, 51)(2, 55)(3, 58)(4, 49)(5, 59)(6, 61)(7, 63)(8, 50)(9, 53)(10, 66)(11, 67)(12, 52)(13, 68)(14, 54)(15, 70)(16, 56)(17, 57)(18, 60)(19, 71)(20, 72)(21, 62)(22, 64)(23, 65)(24, 69)(25, 75)(26, 79)(27, 82)(28, 73)(29, 83)(30, 85)(31, 87)(32, 74)(33, 77)(34, 90)(35, 91)(36, 76)(37, 92)(38, 78)(39, 94)(40, 80)(41, 81)(42, 84)(43, 95)(44, 96)(45, 86)(46, 88)(47, 89)(48, 93)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.49 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, B * A^-1, Z^-1 * A^-1 * Z * B, S * B * S * A, Z^4, (S * Z)^2, A^-2 * B^-1 * A^-3 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 28, 52, 76, 4, 25, 49, 73)(3, 31, 55, 79, 7, 37, 61, 85, 13, 34, 58, 82, 10, 27, 51, 75)(5, 32, 56, 80, 8, 38, 62, 86, 14, 35, 59, 83, 11, 29, 53, 77)(9, 39, 63, 87, 15, 44, 68, 92, 20, 42, 66, 90, 18, 33, 57, 81)(12, 40, 64, 88, 16, 45, 69, 93, 21, 43, 67, 91, 19, 36, 60, 84)(17, 46, 70, 94, 22, 48, 72, 96, 24, 47, 71, 95, 23, 41, 65, 89)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 61)(7, 63)(8, 50)(9, 65)(10, 66)(11, 52)(12, 53)(13, 68)(14, 54)(15, 70)(16, 56)(17, 60)(18, 71)(19, 59)(20, 72)(21, 62)(22, 64)(23, 67)(24, 69)(25, 77)(26, 80)(27, 73)(28, 83)(29, 84)(30, 86)(31, 74)(32, 88)(33, 75)(34, 76)(35, 91)(36, 89)(37, 78)(38, 93)(39, 79)(40, 94)(41, 81)(42, 82)(43, 95)(44, 85)(45, 96)(46, 87)(47, 90)(48, 92)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.50 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C6 x D8 (small group id <48, 45>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, S * B * S * A, Z^4, (S * Z)^2, (Z, B^-1), (Z, A^-1), B^3 * A^-3 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 29, 53, 77, 5, 25, 49, 73)(3, 31, 55, 79, 7, 37, 61, 85, 13, 34, 58, 82, 10, 27, 51, 75)(4, 32, 56, 80, 8, 38, 62, 86, 14, 36, 60, 84, 12, 28, 52, 76)(9, 39, 63, 87, 15, 44, 68, 92, 20, 42, 66, 90, 18, 33, 57, 81)(11, 40, 64, 88, 16, 45, 69, 93, 21, 43, 67, 91, 19, 35, 59, 83)(17, 46, 70, 94, 22, 48, 72, 96, 24, 47, 71, 95, 23, 41, 65, 89)
	L = (1, 51)(2, 55)(3, 57)(4, 49)(5, 58)(6, 61)(7, 63)(8, 50)(9, 65)(10, 66)(11, 52)(12, 53)(13, 68)(14, 54)(15, 70)(16, 56)(17, 59)(18, 71)(19, 60)(20, 72)(21, 62)(22, 64)(23, 67)(24, 69)(25, 75)(26, 79)(27, 81)(28, 73)(29, 82)(30, 85)(31, 87)(32, 74)(33, 89)(34, 90)(35, 76)(36, 77)(37, 92)(38, 78)(39, 94)(40, 80)(41, 83)(42, 95)(43, 84)(44, 96)(45, 86)(46, 88)(47, 91)(48, 93)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.51 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C3 x ((C4 x C2) : C2) (small group id <48, 47>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A^-1 * Z^2, (A * B)^2, A^-1 * Z^-1 * B^-1 * Z^-1, B * A * Z^-2, Z^-1 * B^-1 * A^-1 * Z^-1, (B^-1, A^-1), (S * Z)^2, A * Z^-1 * B * Z^-1, S * A * S * B, A^-1 * B * A^-1 * B * A^-2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 31, 55, 79, 7, 36, 60, 84, 12, 27, 51, 75)(4, 34, 58, 82, 10, 30, 54, 78, 6, 35, 59, 83, 11, 28, 52, 76)(13, 41, 65, 89, 17, 38, 62, 86, 14, 42, 66, 90, 18, 37, 61, 85)(15, 43, 67, 91, 19, 40, 64, 88, 16, 44, 68, 92, 20, 39, 63, 87)(21, 47, 71, 95, 23, 46, 70, 94, 22, 48, 72, 96, 24, 45, 69, 93)
	L = (1, 51)(2, 57)(3, 61)(4, 56)(5, 60)(6, 49)(7, 62)(8, 55)(9, 65)(10, 53)(11, 50)(12, 66)(13, 69)(14, 70)(15, 54)(16, 52)(17, 71)(18, 72)(19, 59)(20, 58)(21, 63)(22, 64)(23, 67)(24, 68)(25, 79)(26, 84)(27, 86)(28, 73)(29, 81)(30, 80)(31, 85)(32, 75)(33, 90)(34, 74)(35, 77)(36, 89)(37, 94)(38, 93)(39, 76)(40, 78)(41, 96)(42, 95)(43, 82)(44, 83)(45, 88)(46, 87)(47, 92)(48, 91)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.52 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ A^2, S^2, B^-1 * A, (S * Z)^2, Z^4, S * A * S * B, (A * Z^-1)^3 ]
Map::
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 28, 52, 76, 4, 25, 49, 73)(3, 31, 55, 79, 7, 37, 61, 85, 13, 32, 56, 80, 8, 27, 51, 75)(6, 35, 59, 83, 11, 42, 66, 90, 18, 36, 60, 84, 12, 30, 54, 78)(9, 39, 63, 87, 15, 44, 68, 92, 20, 38, 62, 86, 14, 33, 57, 81)(10, 40, 64, 88, 16, 45, 69, 93, 21, 41, 65, 89, 17, 34, 58, 82)(19, 47, 71, 95, 23, 48, 72, 96, 24, 46, 70, 94, 22, 43, 67, 91)
	L = (1, 51)(2, 54)(3, 49)(4, 57)(5, 58)(6, 50)(7, 62)(8, 59)(9, 52)(10, 53)(11, 56)(12, 64)(13, 67)(14, 55)(15, 65)(16, 60)(17, 63)(18, 70)(19, 61)(20, 71)(21, 72)(22, 66)(23, 68)(24, 69)(25, 75)(26, 78)(27, 73)(28, 81)(29, 82)(30, 74)(31, 86)(32, 83)(33, 76)(34, 77)(35, 80)(36, 88)(37, 91)(38, 79)(39, 89)(40, 84)(41, 87)(42, 94)(43, 85)(44, 95)(45, 96)(46, 90)(47, 92)(48, 93)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.53 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, (B * A)^2, (S * Z)^2, S * A * S * B, Z^4, A * Z * A * B * Z * B, B * Z * B * Z^-1 * A * Z^-1, A * Z^-2 * B * Z^-2, (B * Z^-1)^3 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 41, 65, 89, 17, 35, 59, 83, 11, 27, 51, 75)(4, 36, 60, 84, 12, 40, 64, 88, 16, 37, 61, 85, 13, 28, 52, 76)(7, 42, 66, 90, 18, 39, 63, 87, 15, 44, 68, 92, 20, 31, 55, 79)(8, 45, 69, 93, 21, 38, 62, 86, 14, 46, 70, 94, 22, 32, 56, 80)(10, 47, 71, 95, 23, 48, 72, 96, 24, 43, 67, 91, 19, 34, 58, 82)
	L = (1, 51)(2, 55)(3, 49)(4, 58)(5, 62)(6, 64)(7, 50)(8, 67)(9, 69)(10, 52)(11, 66)(12, 70)(13, 68)(14, 53)(15, 71)(16, 54)(17, 72)(18, 59)(19, 56)(20, 61)(21, 57)(22, 60)(23, 63)(24, 65)(25, 76)(26, 80)(27, 82)(28, 73)(29, 87)(30, 89)(31, 91)(32, 74)(33, 92)(34, 75)(35, 94)(36, 90)(37, 93)(38, 95)(39, 77)(40, 96)(41, 78)(42, 84)(43, 79)(44, 81)(45, 85)(46, 83)(47, 86)(48, 88)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.54 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ S^2, B^3, A^3, (Z^-1 * B^-1)^2, Z^-1 * A^-1 * Z * B, A^-1 * B^-1 * Z^-2, (S * Z)^2, (B * A)^2, Z^2 * A^-1 * B^-1, (Z^-1 * B^-1)^2, S * A * S * B, (Z^-1 * A^-1)^2, (B * A^-1)^3, (B * Z * A)^2, A^-1 * Z^-1 * B * Z^-1 * B * Z^-1 * B * Z ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 29, 53, 77, 5, 25, 49, 73)(3, 34, 58, 82, 10, 31, 55, 79, 7, 38, 62, 86, 14, 27, 51, 75)(4, 40, 64, 88, 16, 44, 68, 92, 20, 41, 65, 89, 17, 28, 52, 76)(6, 36, 60, 84, 12, 39, 63, 87, 15, 33, 57, 81, 9, 30, 54, 78)(11, 43, 67, 91, 19, 46, 70, 94, 22, 42, 66, 90, 18, 35, 59, 83)(13, 47, 71, 95, 23, 48, 72, 96, 24, 45, 69, 93, 21, 37, 61, 85)
	L = (1, 51)(2, 57)(3, 54)(4, 56)(5, 65)(6, 49)(7, 68)(8, 66)(9, 59)(10, 53)(11, 50)(12, 62)(13, 55)(14, 69)(15, 72)(16, 70)(17, 58)(18, 52)(19, 63)(20, 61)(21, 60)(22, 71)(23, 64)(24, 67)(25, 79)(26, 84)(27, 87)(28, 73)(29, 88)(30, 80)(31, 76)(32, 91)(33, 94)(34, 74)(35, 77)(36, 82)(37, 75)(38, 95)(39, 85)(40, 83)(41, 86)(42, 92)(43, 78)(44, 96)(45, 81)(46, 93)(47, 89)(48, 90)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.55 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ S^2, A^3, B^3, (Z * B^-1)^2, Z * B * A * Z, (A^-1 * B^-1)^2, B * Z * A^-1 * Z^-1, B * A * Z^-2, (S * Z)^2, S * A * S * B, (B * A^-1)^3, A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 29, 53, 77, 5, 25, 49, 73)(3, 37, 61, 85, 13, 31, 55, 79, 7, 35, 59, 83, 11, 27, 51, 75)(4, 33, 57, 81, 9, 44, 68, 92, 20, 36, 60, 84, 12, 28, 52, 76)(6, 41, 65, 89, 17, 39, 63, 87, 15, 42, 66, 90, 18, 30, 54, 78)(10, 40, 64, 88, 16, 46, 70, 94, 22, 43, 67, 91, 19, 34, 58, 82)(14, 47, 71, 95, 23, 48, 72, 96, 24, 45, 69, 93, 21, 38, 62, 86)
	L = (1, 51)(2, 57)(3, 54)(4, 56)(5, 65)(6, 49)(7, 68)(8, 64)(9, 59)(10, 53)(11, 50)(12, 70)(13, 71)(14, 55)(15, 72)(16, 52)(17, 58)(18, 61)(19, 63)(20, 62)(21, 60)(22, 69)(23, 66)(24, 67)(25, 79)(26, 84)(27, 87)(28, 73)(29, 90)(30, 80)(31, 76)(32, 91)(33, 85)(34, 74)(35, 77)(36, 82)(37, 93)(38, 75)(39, 86)(40, 92)(41, 94)(42, 83)(43, 78)(44, 96)(45, 81)(46, 95)(47, 89)(48, 88)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.56 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ S^2, B * A, Z^4, A^-2 * B * A^-1, (S * Z)^2, S * A * S * B, B * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1, A * Z^2 * B^-1 * Z^-2, B^2 * Z^-1 * A * B^-1 * Z^-1, A * Z^-1 * B * Z * A^-1 * Z^-1, B * Z^-1 * A * Z * B^-1 * Z^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 41, 65, 89, 17, 35, 59, 83, 11, 27, 51, 75)(4, 36, 60, 84, 12, 40, 64, 88, 16, 37, 61, 85, 13, 28, 52, 76)(7, 42, 66, 90, 18, 39, 63, 87, 15, 44, 68, 92, 20, 31, 55, 79)(8, 45, 69, 93, 21, 38, 62, 86, 14, 46, 70, 94, 22, 32, 56, 80)(10, 47, 71, 95, 23, 48, 72, 96, 24, 43, 67, 91, 19, 34, 58, 82)
	L = (1, 51)(2, 55)(3, 58)(4, 49)(5, 62)(6, 64)(7, 67)(8, 50)(9, 66)(10, 52)(11, 69)(12, 68)(13, 70)(14, 71)(15, 53)(16, 72)(17, 54)(18, 61)(19, 56)(20, 59)(21, 60)(22, 57)(23, 63)(24, 65)(25, 75)(26, 79)(27, 82)(28, 73)(29, 86)(30, 88)(31, 91)(32, 74)(33, 90)(34, 76)(35, 93)(36, 92)(37, 94)(38, 95)(39, 77)(40, 96)(41, 78)(42, 85)(43, 80)(44, 83)(45, 84)(46, 81)(47, 87)(48, 89)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.57 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, S * A * S * B, A^-1 * B^-1 * A^-2, Z^4, (S * Z)^2, (Z^-1 * A^-1 * Z^-1)^2, A * Z^-2 * B * Z^-2, Z * B^-1 * Z^-1 * A^-1 * Z * A, (A^-1 * Z^-1)^3, A * Z^-1 * B * Z^-1 * A * Z^-1 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 28, 52, 76, 4, 25, 49, 73)(3, 33, 57, 81, 9, 41, 65, 89, 17, 35, 59, 83, 11, 27, 51, 75)(5, 38, 62, 86, 14, 40, 64, 88, 16, 39, 63, 87, 15, 29, 53, 77)(7, 42, 66, 90, 18, 37, 61, 85, 13, 44, 68, 92, 20, 31, 55, 79)(8, 45, 69, 93, 21, 36, 60, 84, 12, 46, 70, 94, 22, 32, 56, 80)(10, 47, 71, 95, 23, 48, 72, 96, 24, 43, 67, 91, 19, 34, 58, 82)
	L = (1, 51)(2, 55)(3, 58)(4, 60)(5, 49)(6, 64)(7, 67)(8, 50)(9, 66)(10, 53)(11, 69)(12, 71)(13, 52)(14, 68)(15, 70)(16, 72)(17, 54)(18, 63)(19, 56)(20, 59)(21, 62)(22, 57)(23, 61)(24, 65)(25, 77)(26, 80)(27, 73)(28, 85)(29, 82)(30, 89)(31, 74)(32, 91)(33, 94)(34, 75)(35, 92)(36, 76)(37, 95)(38, 93)(39, 90)(40, 78)(41, 96)(42, 81)(43, 79)(44, 86)(45, 83)(46, 87)(47, 84)(48, 88)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.58 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 6})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ S^2, Z^3, A^3, B^3, A * B^-1 * Z^-1 * B, Z * B * A^-1 * B^-1, Z^-1 * A^-1 * Z * B, A * Z^-1 * A^-1 * B, Z^-1 * B * A * B^-1, S * A * S * B, (S * Z)^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 37, 61, 85, 13, 27, 51, 75)(4, 39, 63, 87, 15, 40, 64, 88, 16, 28, 52, 76)(6, 35, 59, 83, 11, 44, 68, 92, 20, 30, 54, 78)(7, 38, 62, 86, 14, 42, 66, 90, 18, 31, 55, 79)(8, 41, 65, 89, 17, 47, 71, 95, 23, 32, 56, 80)(10, 43, 67, 91, 19, 48, 72, 96, 24, 34, 58, 82)(12, 46, 70, 94, 22, 45, 69, 93, 21, 36, 60, 84)
	L = (1, 51)(2, 56)(3, 54)(4, 57)(5, 64)(6, 49)(7, 61)(8, 58)(9, 65)(10, 50)(11, 71)(12, 59)(13, 69)(14, 68)(15, 70)(16, 66)(17, 52)(18, 53)(19, 63)(20, 72)(21, 55)(22, 67)(23, 60)(24, 62)(25, 79)(26, 83)(27, 86)(28, 73)(29, 91)(30, 90)(31, 76)(32, 92)(33, 74)(34, 78)(35, 81)(36, 75)(37, 87)(38, 84)(39, 95)(40, 96)(41, 77)(42, 82)(43, 89)(44, 94)(45, 88)(46, 80)(47, 85)(48, 93)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.62
Transitivity :: VT+
Graph::
	v = 8 e = 48 f = 4
	degree seq :: [ 12^8 ]

E19.59 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 6})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ S^2, Z^3, B^3, A^3, Z * B^-1 * A^-1 * B, A^-1 * Z * A * B^-1, Z^-1 * B * Z * A^-1, S * A * S * B, (S * Z)^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 25, 49, 73)(3, 36, 60, 84, 12, 37, 61, 85, 13, 27, 51, 75)(4, 32, 56, 80, 8, 40, 64, 88, 16, 28, 52, 76)(6, 41, 65, 89, 17, 43, 67, 91, 19, 30, 54, 78)(7, 34, 58, 82, 10, 45, 69, 93, 21, 31, 55, 79)(9, 38, 62, 86, 14, 47, 71, 95, 23, 33, 57, 81)(11, 42, 66, 90, 18, 48, 72, 96, 24, 35, 59, 83)(15, 46, 70, 94, 22, 44, 68, 92, 20, 39, 63, 87)
	L = (1, 51)(2, 56)(3, 54)(4, 63)(5, 62)(6, 49)(7, 59)(8, 58)(9, 70)(10, 50)(11, 67)(12, 64)(13, 68)(14, 66)(15, 65)(16, 71)(17, 52)(18, 53)(19, 55)(20, 72)(21, 57)(22, 69)(23, 60)(24, 61)(25, 79)(26, 83)(27, 86)(28, 73)(29, 91)(30, 92)(31, 76)(32, 75)(33, 74)(34, 87)(35, 81)(36, 90)(37, 77)(38, 80)(39, 95)(40, 78)(41, 96)(42, 94)(43, 85)(44, 88)(45, 89)(46, 84)(47, 82)(48, 93)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.63
Transitivity :: VT+
Graph::
	v = 8 e = 48 f = 4
	degree seq :: [ 12^8 ]

E19.60 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 6})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ S^2, Z^3, B^-2 * A^-2, (S * Z)^2, B * A^-1 * B^-1 * A^-1, B^4, B * A * B * A^-1, S * A * S * B, A * Z * B^-1 * Z^-1, B * A * Z^-1 * B * Z ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 38, 62, 86, 14, 27, 51, 75)(4, 40, 64, 88, 16, 41, 65, 89, 17, 28, 52, 76)(6, 35, 59, 83, 11, 45, 69, 93, 21, 30, 54, 78)(7, 46, 70, 94, 22, 43, 67, 91, 19, 31, 55, 79)(8, 42, 66, 90, 18, 37, 61, 85, 13, 32, 56, 80)(10, 44, 68, 92, 20, 39, 63, 87, 15, 34, 58, 82)(12, 47, 71, 95, 23, 48, 72, 96, 24, 36, 60, 84)
	L = (1, 51)(2, 56)(3, 60)(4, 63)(5, 65)(6, 49)(7, 61)(8, 71)(9, 70)(10, 50)(11, 64)(12, 54)(13, 52)(14, 66)(15, 55)(16, 57)(17, 72)(18, 69)(19, 53)(20, 62)(21, 68)(22, 59)(23, 58)(24, 67)(25, 79)(26, 83)(27, 87)(28, 73)(29, 92)(30, 85)(31, 84)(32, 94)(33, 74)(34, 88)(35, 95)(36, 76)(37, 75)(38, 89)(39, 78)(40, 80)(41, 93)(42, 77)(43, 86)(44, 96)(45, 91)(46, 82)(47, 81)(48, 90)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.65
Transitivity :: VT+
Graph::
	v = 8 e = 48 f = 4
	degree seq :: [ 12^8 ]

E19.61 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 6})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ S^2, Z^3, A^-1 * B * A^-1 * B^-1, A * B^-1 * A^-1 * B^-1, B^4, (S * Z)^2, S * A * S * B, B * A^-2 * B, Z * A * Z^-1 * B^-1, B * A^-1 * Z^-1 * A * Z, Z^-1 * B^-2 * Z * B^-2, A * Z^-1 * B^-1 * Z^-1 * B^-2 * Z * B^2 * Z^-1 * B^2 * Z^-1 * B^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 25, 49, 73)(3, 36, 60, 84, 12, 39, 63, 87, 15, 27, 51, 75)(4, 32, 56, 80, 8, 41, 65, 89, 17, 28, 52, 76)(6, 45, 69, 93, 21, 44, 68, 92, 20, 30, 54, 78)(7, 34, 58, 82, 10, 46, 70, 94, 22, 31, 55, 79)(9, 42, 66, 90, 18, 40, 64, 88, 16, 33, 57, 81)(11, 43, 67, 91, 19, 38, 62, 86, 14, 35, 59, 83)(13, 47, 71, 95, 23, 48, 72, 96, 24, 37, 61, 85)
	L = (1, 51)(2, 56)(3, 61)(4, 64)(5, 66)(6, 49)(7, 62)(8, 71)(9, 60)(10, 50)(11, 69)(12, 59)(13, 54)(14, 52)(15, 65)(16, 55)(17, 68)(18, 72)(19, 53)(20, 70)(21, 57)(22, 63)(23, 58)(24, 67)(25, 79)(26, 83)(27, 88)(28, 73)(29, 92)(30, 86)(31, 85)(32, 84)(33, 74)(34, 93)(35, 95)(36, 82)(37, 76)(38, 75)(39, 77)(40, 78)(41, 91)(42, 89)(43, 94)(44, 96)(45, 80)(46, 90)(47, 81)(48, 87)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.64
Transitivity :: VT+
Graph::
	v = 8 e = 48 f = 4
	degree seq :: [ 12^8 ]

E19.62 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 6})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ S^2, B * A * Z, B^3, A^3, Z^-1 * B^-1 * Z * A, S * B * S * A, (S * Z)^2, Z^6 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 44, 68, 92, 20, 41, 65, 89, 17, 29, 53, 77, 5, 25, 49, 73)(3, 31, 55, 79, 7, 34, 58, 82, 10, 46, 70, 94, 22, 47, 71, 95, 23, 37, 61, 85, 13, 27, 51, 75)(4, 33, 57, 81, 9, 35, 59, 83, 11, 45, 69, 93, 21, 36, 60, 84, 12, 39, 63, 87, 15, 28, 52, 76)(6, 38, 62, 86, 14, 43, 67, 91, 19, 48, 72, 96, 24, 40, 64, 88, 16, 42, 66, 90, 18, 30, 54, 78)
	L = (1, 51)(2, 57)(3, 54)(4, 53)(5, 64)(6, 49)(7, 63)(8, 62)(9, 58)(10, 50)(11, 66)(12, 61)(13, 65)(14, 69)(15, 67)(16, 52)(17, 60)(18, 71)(19, 55)(20, 70)(21, 56)(22, 72)(23, 59)(24, 68)(25, 79)(26, 83)(27, 86)(28, 73)(29, 90)(30, 74)(31, 76)(32, 91)(33, 94)(34, 80)(35, 78)(36, 75)(37, 77)(38, 84)(39, 96)(40, 81)(41, 87)(42, 85)(43, 82)(44, 95)(45, 92)(46, 88)(47, 93)(48, 89)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E19.58
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.63 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 6})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ S^2, A^3, A * B * Z, B^3, (S * Z)^2, Z^-1 * A^-1 * Z * B, S * A * S * B, Z^6 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 44, 68, 92, 20, 41, 65, 89, 17, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 34, 58, 82, 10, 45, 69, 93, 21, 38, 62, 86, 14, 36, 60, 84, 12, 27, 51, 75)(4, 30, 54, 78, 6, 35, 59, 83, 11, 46, 70, 94, 22, 47, 71, 95, 23, 39, 63, 87, 15, 28, 52, 76)(7, 40, 64, 88, 16, 43, 67, 91, 19, 48, 72, 96, 24, 37, 61, 85, 13, 42, 66, 90, 18, 31, 55, 79)
	L = (1, 51)(2, 55)(3, 54)(4, 62)(5, 63)(6, 49)(7, 58)(8, 59)(9, 61)(10, 50)(11, 67)(12, 65)(13, 70)(14, 64)(15, 66)(16, 52)(17, 72)(18, 53)(19, 56)(20, 69)(21, 71)(22, 57)(23, 68)(24, 60)(25, 79)(26, 83)(27, 85)(28, 73)(29, 75)(30, 91)(31, 76)(32, 93)(33, 74)(34, 95)(35, 81)(36, 78)(37, 77)(38, 89)(39, 86)(40, 80)(41, 87)(42, 82)(43, 84)(44, 96)(45, 88)(46, 92)(47, 90)(48, 94)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E19.59
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.64 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 6})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ S^2, A^2 * B^-2, B * A^-1 * B^-1 * A^-1, A^-1 * B^-2 * A^-1, S * B * S * A, (S * Z)^2, B * A * B * A^-1, A^4, A * Z * B^-1 * Z^-1, Z^2 * B^2 * Z, Z * A * Z^-1 * A^-1 * B^-1, Z * B^-1 * A * Z^-1 * B ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 37, 61, 85, 13, 44, 68, 92, 20, 29, 53, 77, 5, 25, 49, 73)(3, 34, 58, 82, 10, 47, 71, 95, 23, 30, 54, 78, 6, 36, 60, 84, 12, 39, 63, 87, 15, 27, 51, 75)(4, 41, 65, 89, 17, 45, 69, 93, 21, 31, 55, 79, 7, 48, 72, 96, 24, 42, 66, 90, 18, 28, 52, 76)(9, 46, 70, 94, 22, 38, 62, 86, 14, 35, 59, 83, 11, 43, 67, 91, 19, 40, 64, 88, 16, 33, 57, 81)
	L = (1, 51)(2, 57)(3, 61)(4, 64)(5, 66)(6, 49)(7, 62)(8, 69)(9, 68)(10, 65)(11, 50)(12, 72)(13, 54)(14, 52)(15, 70)(16, 55)(17, 60)(18, 56)(19, 63)(20, 59)(21, 53)(22, 71)(23, 67)(24, 58)(25, 79)(26, 84)(27, 88)(28, 73)(29, 94)(30, 86)(31, 85)(32, 91)(33, 89)(34, 74)(35, 96)(36, 92)(37, 76)(38, 75)(39, 93)(40, 78)(41, 83)(42, 87)(43, 77)(44, 82)(45, 95)(46, 80)(47, 90)(48, 81)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E19.61
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.65 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 6})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ S^2, B^4, B^-1 * A * B^-1 * A^-1, A^-1 * B^2 * A^-1, (S * Z)^2, B * A^-1 * B^-1 * A^-1, S * B * S * A, A^4, B * Z * A^-1 * Z^-1, Z^2 * B^-2 * Z, Z * B * A^-1 * Z^-1 * A^-1, B * Z * B * Z^-1 * A^-1, (A^2 * Z^-1)^3 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 38, 62, 86, 14, 44, 68, 92, 20, 29, 53, 77, 5, 25, 49, 73)(3, 37, 61, 85, 13, 46, 70, 94, 22, 30, 54, 78, 6, 47, 71, 95, 23, 40, 64, 88, 16, 27, 51, 75)(4, 33, 57, 81, 9, 48, 72, 96, 24, 31, 55, 79, 7, 35, 59, 83, 11, 42, 66, 90, 18, 28, 52, 76)(10, 45, 69, 93, 21, 41, 65, 89, 17, 36, 60, 84, 12, 43, 67, 91, 19, 39, 63, 87, 15, 34, 58, 82)
	L = (1, 51)(2, 57)(3, 62)(4, 65)(5, 67)(6, 49)(7, 63)(8, 69)(9, 68)(10, 71)(11, 50)(12, 61)(13, 58)(14, 54)(15, 52)(16, 72)(17, 55)(18, 64)(19, 56)(20, 59)(21, 53)(22, 66)(23, 60)(24, 70)(25, 79)(26, 84)(27, 89)(28, 73)(29, 94)(30, 87)(31, 86)(32, 88)(33, 95)(34, 74)(35, 85)(36, 92)(37, 81)(38, 76)(39, 75)(40, 77)(41, 78)(42, 91)(43, 96)(44, 82)(45, 90)(46, 80)(47, 83)(48, 93)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E19.60
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.66 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 6})
Quotient :: toric
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, Z^3, (S * Z)^2, Z^-1 * A * Z * A, S * B * S * A, Z^-1 * B * Z * B, (B * A)^4, B * A * B * Z^-1 * A * B * A * B * Z^-1 * A * B * A * B * Z^-1 * A * B * A * B * Z^-1 * A * Z^-2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 25, 49, 73)(3, 30, 54, 78, 6, 33, 57, 81, 9, 27, 51, 75)(4, 31, 55, 79, 7, 35, 59, 83, 11, 28, 52, 76)(8, 36, 60, 84, 12, 39, 63, 87, 15, 32, 56, 80)(10, 37, 61, 85, 13, 41, 65, 89, 17, 34, 58, 82)(14, 42, 66, 90, 18, 45, 69, 93, 21, 38, 62, 86)(16, 43, 67, 91, 19, 46, 70, 94, 22, 40, 64, 88)(20, 47, 71, 95, 23, 48, 72, 96, 24, 44, 68, 92)
	L = (1, 51)(2, 54)(3, 49)(4, 58)(5, 57)(6, 50)(7, 61)(8, 62)(9, 53)(10, 52)(11, 65)(12, 66)(13, 55)(14, 56)(15, 69)(16, 68)(17, 59)(18, 60)(19, 71)(20, 64)(21, 63)(22, 72)(23, 67)(24, 70)(25, 76)(26, 79)(27, 80)(28, 73)(29, 83)(30, 84)(31, 74)(32, 75)(33, 87)(34, 88)(35, 77)(36, 78)(37, 91)(38, 92)(39, 81)(40, 82)(41, 94)(42, 95)(43, 85)(44, 86)(45, 96)(46, 89)(47, 90)(48, 93)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.68
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 12^8 ]

E19.67 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 6})
Quotient :: toric
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C3 x Q8) : C2 (small group id <48, 17>)
|r| :: 2
Presentation :: [ S^2, Z^3, A^4, B^4, B^-2 * A^-2, B * A * B * A^-1, S * A * S * B, B * A^-1 * B^-1 * A^-1, (B^-1, Z^-1), (A^-1, Z^-1), (S * Z)^2, Z^-1 * A * B^-1 * Z * B^-1 * A, B * A * Z^-1 * A * B * Z^-1 * B^2 * Z^-1 * B^2 * Z^-1 * B^2 * Z^-1 * B^2 * Z^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 25, 49, 73)(3, 32, 56, 80, 8, 38, 62, 86, 14, 27, 51, 75)(4, 33, 57, 81, 9, 40, 64, 88, 16, 28, 52, 76)(6, 34, 58, 82, 10, 41, 65, 89, 17, 30, 54, 78)(7, 35, 59, 83, 11, 42, 66, 90, 18, 31, 55, 79)(12, 43, 67, 91, 19, 46, 70, 94, 22, 36, 60, 84)(13, 44, 68, 92, 20, 47, 71, 95, 23, 37, 61, 85)(15, 45, 69, 93, 21, 48, 72, 96, 24, 39, 63, 87)
	L = (1, 51)(2, 56)(3, 60)(4, 63)(5, 62)(6, 49)(7, 61)(8, 67)(9, 69)(10, 50)(11, 68)(12, 54)(13, 52)(14, 70)(15, 55)(16, 72)(17, 53)(18, 71)(19, 58)(20, 57)(21, 59)(22, 65)(23, 64)(24, 66)(25, 79)(26, 83)(27, 87)(28, 73)(29, 90)(30, 85)(31, 84)(32, 93)(33, 74)(34, 92)(35, 91)(36, 76)(37, 75)(38, 96)(39, 78)(40, 77)(41, 95)(42, 94)(43, 81)(44, 80)(45, 82)(46, 88)(47, 86)(48, 89)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.69
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 12^8 ]

E19.68 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 6})
Quotient :: toric
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ A^2, S^2, B^2, Z^-1 * A * Z * A, B * Z * B * Z^-1, S * B * S * A, (S * Z)^2, Z^6, Z * B * Z^2 * A * B * A ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 37, 61, 85, 13, 29, 53, 77, 5, 25, 49, 73)(3, 31, 55, 79, 7, 39, 63, 87, 15, 46, 70, 94, 22, 45, 69, 93, 21, 34, 58, 82, 10, 27, 51, 75)(4, 32, 56, 80, 8, 40, 64, 88, 16, 43, 67, 91, 19, 48, 72, 96, 24, 36, 60, 84, 12, 28, 52, 76)(9, 41, 65, 89, 17, 47, 71, 95, 23, 35, 59, 83, 11, 42, 66, 90, 18, 44, 68, 92, 20, 33, 57, 81)
	L = (1, 51)(2, 55)(3, 49)(4, 59)(5, 58)(6, 63)(7, 50)(8, 66)(9, 67)(10, 53)(11, 52)(12, 71)(13, 69)(14, 70)(15, 54)(16, 68)(17, 72)(18, 56)(19, 57)(20, 64)(21, 61)(22, 62)(23, 60)(24, 65)(25, 76)(26, 80)(27, 81)(28, 73)(29, 84)(30, 88)(31, 89)(32, 74)(33, 75)(34, 92)(35, 94)(36, 77)(37, 96)(38, 91)(39, 95)(40, 78)(41, 79)(42, 93)(43, 86)(44, 82)(45, 90)(46, 83)(47, 87)(48, 85)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E19.66
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.69 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 6})
Quotient :: toric
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C3 x Q8) : C2 (small group id <48, 17>)
|r| :: 2
Presentation :: [ S^2, B^2 * A^-2, A^4, B^4, B^-1 * A^-1 * B * A^-1, (S * Z)^2, A^-2 * B^-2, S * B * S * A, (Z^-1, A), (B^-1, Z^-1), Z^3 * A^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 37, 61, 85, 13, 42, 66, 90, 18, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 43, 67, 91, 19, 30, 54, 78, 6, 35, 59, 83, 11, 39, 63, 87, 15, 27, 51, 75)(4, 34, 58, 82, 10, 44, 68, 92, 20, 31, 55, 79, 7, 36, 60, 84, 12, 41, 65, 89, 17, 28, 52, 76)(14, 45, 69, 93, 21, 48, 72, 96, 24, 40, 64, 88, 16, 46, 70, 94, 22, 47, 71, 95, 23, 38, 62, 86)
	L = (1, 51)(2, 57)(3, 61)(4, 64)(5, 63)(6, 49)(7, 62)(8, 67)(9, 66)(10, 70)(11, 50)(12, 69)(13, 54)(14, 52)(15, 56)(16, 55)(17, 72)(18, 59)(19, 53)(20, 71)(21, 58)(22, 60)(23, 65)(24, 68)(25, 79)(26, 84)(27, 88)(28, 73)(29, 92)(30, 86)(31, 85)(32, 89)(33, 94)(34, 74)(35, 93)(36, 90)(37, 76)(38, 75)(39, 96)(40, 78)(41, 77)(42, 82)(43, 95)(44, 80)(45, 81)(46, 83)(47, 87)(48, 91)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E19.67
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.70 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^3, S * B * S * A, (S * Z)^2, (A^-1, Z^-1), A^9 * Z^-1 ]
Map::
	R = (1, 29, 56, 83, 2, 31, 58, 85, 4, 28, 55, 82)(3, 33, 60, 87, 6, 36, 63, 90, 9, 30, 57, 84)(5, 34, 61, 88, 7, 37, 64, 91, 10, 32, 59, 86)(8, 39, 66, 93, 12, 42, 69, 96, 15, 35, 62, 89)(11, 40, 67, 94, 13, 43, 70, 97, 16, 38, 65, 92)(14, 45, 72, 99, 18, 48, 75, 102, 21, 41, 68, 95)(17, 46, 73, 100, 19, 49, 76, 103, 22, 44, 71, 98)(20, 51, 78, 105, 24, 53, 80, 107, 26, 47, 74, 101)(23, 52, 79, 106, 25, 54, 81, 108, 27, 50, 77, 104)
	L = (1, 57)(2, 60)(3, 62)(4, 63)(5, 55)(6, 66)(7, 56)(8, 68)(9, 69)(10, 58)(11, 59)(12, 72)(13, 61)(14, 74)(15, 75)(16, 64)(17, 65)(18, 78)(19, 67)(20, 79)(21, 80)(22, 70)(23, 71)(24, 81)(25, 73)(26, 77)(27, 76)(28, 86)(29, 88)(30, 82)(31, 91)(32, 92)(33, 83)(34, 94)(35, 84)(36, 85)(37, 97)(38, 98)(39, 87)(40, 100)(41, 89)(42, 90)(43, 103)(44, 104)(45, 93)(46, 106)(47, 95)(48, 96)(49, 108)(50, 107)(51, 99)(52, 101)(53, 102)(54, 105)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.71 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C9 x C3 (small group id <27, 2>)
Aut   = C3 x D18 (small group id <54, 3>)
|r| :: 2
Presentation :: [ S^2, Z^3, (A, Z^-1), (B^-1, Z^-1), A^3 * Z^-1, B^2 * Z^-1 * B, (S * Z)^2, S * B * S * A, (A, B^-1) ]
Map:: non-degenerate
	R = (1, 29, 56, 83, 2, 32, 59, 86, 5, 28, 55, 82)(3, 35, 62, 89, 8, 40, 67, 94, 13, 30, 57, 84)(4, 36, 63, 90, 9, 42, 69, 96, 15, 31, 58, 85)(6, 37, 64, 91, 10, 44, 71, 98, 17, 33, 60, 87)(7, 38, 65, 92, 11, 45, 72, 99, 18, 34, 61, 88)(12, 47, 74, 101, 20, 51, 78, 105, 24, 39, 66, 93)(14, 48, 75, 102, 21, 52, 79, 106, 25, 41, 68, 95)(16, 49, 76, 103, 22, 53, 80, 107, 26, 43, 70, 97)(19, 50, 77, 104, 23, 54, 81, 108, 27, 46, 73, 100)
	L = (1, 57)(2, 62)(3, 64)(4, 66)(5, 67)(6, 55)(7, 68)(8, 71)(9, 74)(10, 56)(11, 75)(12, 76)(13, 60)(14, 77)(15, 78)(16, 58)(17, 59)(18, 79)(19, 61)(20, 80)(21, 81)(22, 63)(23, 65)(24, 70)(25, 73)(26, 69)(27, 72)(28, 88)(29, 92)(30, 95)(31, 82)(32, 99)(33, 100)(34, 96)(35, 102)(36, 83)(37, 104)(38, 85)(39, 84)(40, 106)(41, 105)(42, 86)(43, 87)(44, 108)(45, 90)(46, 107)(47, 89)(48, 93)(49, 91)(50, 97)(51, 94)(52, 101)(53, 98)(54, 103)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.72 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C9 x C3 (small group id <27, 2>)
Aut   = C9 x S3 (small group id <54, 4>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A^-1, Z^3, S * B * S * A, (S * Z)^2, (Z, B^-1), (Z, A^-1), A^5 * B^-4 ]
Map:: non-degenerate
	R = (1, 29, 56, 83, 2, 32, 59, 86, 5, 28, 55, 82)(3, 33, 60, 87, 6, 36, 63, 90, 9, 30, 57, 84)(4, 34, 61, 88, 7, 38, 65, 92, 11, 31, 58, 85)(8, 39, 66, 93, 12, 42, 69, 96, 15, 35, 62, 89)(10, 40, 67, 94, 13, 44, 71, 98, 17, 37, 64, 91)(14, 45, 72, 99, 18, 48, 75, 102, 21, 41, 68, 95)(16, 46, 73, 100, 19, 50, 77, 104, 23, 43, 70, 97)(20, 51, 78, 105, 24, 53, 80, 107, 26, 47, 74, 101)(22, 52, 79, 106, 25, 54, 81, 108, 27, 49, 76, 103)
	L = (1, 57)(2, 60)(3, 62)(4, 55)(5, 63)(6, 66)(7, 56)(8, 68)(9, 69)(10, 58)(11, 59)(12, 72)(13, 61)(14, 74)(15, 75)(16, 64)(17, 65)(18, 78)(19, 67)(20, 76)(21, 80)(22, 70)(23, 71)(24, 79)(25, 73)(26, 81)(27, 77)(28, 84)(29, 87)(30, 89)(31, 82)(32, 90)(33, 93)(34, 83)(35, 95)(36, 96)(37, 85)(38, 86)(39, 99)(40, 88)(41, 101)(42, 102)(43, 91)(44, 92)(45, 105)(46, 94)(47, 103)(48, 107)(49, 97)(50, 98)(51, 106)(52, 100)(53, 108)(54, 104)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.73 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = (C3 x C3) : C3 (small group id <27, 3>)
Aut   = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
|r| :: 2
Presentation :: [ S^2, A * B, Z^3, B^3, A^2 * B^-1, (S * Z)^2, S * B * S * A, A * Z^-1 * A * Z^-1 * B^-1 * Z^-1, A * Z^-1 * A * Z^-1 * B^-1 * Z^-1, A * Z^-1 * B^-1 * Z^-1 * B^-1 * Z^-1, Z * A * Z * A * Z * B^-1 ]
Map:: non-degenerate
	R = (1, 29, 56, 83, 2, 32, 59, 86, 5, 28, 55, 82)(3, 35, 62, 89, 8, 36, 63, 90, 9, 30, 57, 84)(4, 37, 64, 91, 10, 38, 65, 92, 11, 31, 58, 85)(6, 41, 68, 95, 14, 42, 69, 96, 15, 33, 60, 87)(7, 43, 70, 97, 16, 44, 71, 98, 17, 34, 61, 88)(12, 51, 78, 105, 24, 49, 76, 103, 22, 39, 66, 93)(13, 52, 79, 106, 25, 45, 72, 99, 18, 40, 67, 94)(19, 50, 77, 104, 23, 54, 81, 108, 27, 46, 73, 100)(20, 53, 80, 107, 26, 48, 75, 102, 21, 47, 74, 101)
	L = (1, 57)(2, 60)(3, 58)(4, 55)(5, 66)(6, 61)(7, 56)(8, 72)(9, 70)(10, 75)(11, 77)(12, 67)(13, 59)(14, 65)(15, 79)(16, 74)(17, 81)(18, 73)(19, 62)(20, 63)(21, 76)(22, 64)(23, 68)(24, 71)(25, 80)(26, 69)(27, 78)(28, 84)(29, 87)(30, 85)(31, 82)(32, 93)(33, 88)(34, 83)(35, 99)(36, 97)(37, 102)(38, 104)(39, 94)(40, 86)(41, 92)(42, 106)(43, 101)(44, 108)(45, 100)(46, 89)(47, 90)(48, 103)(49, 91)(50, 95)(51, 98)(52, 107)(53, 96)(54, 105)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.74 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = (C3 x C3) : C3 (small group id <27, 3>)
Aut   = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
|r| :: 2
Presentation :: [ S^2, A^3, B^3, B^3, A^3, Z^3, S * A * S * B, A^-1 * Z * B^-1 * Z^-1, (S * Z)^2, (A^-1, B^-1), Z * A * B^-1 * Z^-1 * B^-1, Z^-1 * A^-1 * B * Z * A^-1 ]
Map:: non-degenerate
	R = (1, 29, 56, 83, 2, 32, 59, 86, 5, 28, 55, 82)(3, 38, 65, 92, 11, 40, 67, 94, 13, 30, 57, 84)(4, 42, 69, 96, 15, 43, 70, 97, 16, 31, 58, 85)(6, 36, 63, 90, 9, 48, 75, 102, 21, 33, 60, 87)(7, 50, 77, 104, 23, 45, 72, 99, 18, 34, 61, 88)(8, 47, 74, 101, 20, 44, 71, 98, 17, 35, 62, 89)(10, 46, 73, 100, 19, 41, 68, 95, 14, 37, 64, 91)(12, 51, 78, 105, 24, 53, 80, 107, 26, 39, 66, 93)(22, 52, 79, 106, 25, 54, 81, 108, 27, 49, 76, 103)
	L = (1, 57)(2, 62)(3, 60)(4, 66)(5, 72)(6, 55)(7, 68)(8, 64)(9, 78)(10, 56)(11, 69)(12, 71)(13, 73)(14, 76)(15, 79)(16, 59)(17, 58)(18, 70)(19, 80)(20, 75)(21, 81)(22, 61)(23, 63)(24, 77)(25, 65)(26, 67)(27, 74)(28, 88)(29, 92)(30, 95)(31, 82)(32, 101)(33, 103)(34, 85)(35, 96)(36, 83)(37, 106)(38, 90)(39, 84)(40, 97)(41, 93)(42, 105)(43, 108)(44, 87)(45, 102)(46, 86)(47, 100)(48, 107)(49, 98)(50, 91)(51, 89)(52, 104)(53, 99)(54, 94)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.75
Transitivity :: VT+
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.75 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = (C3 x C3) : C3 (small group id <27, 3>)
Aut   = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
|r| :: 2
Presentation :: [ S^2, B^3, A^3, Z^3, B^3, S * A * S * B, B * Z * A * Z^-1, (B^-1, A), (S * Z)^2, B * Z^-1 * A^-1 * B * Z, B^-1 * A^-1 * Z * B * A * Z^-1 ]
Map:: non-degenerate
	R = (1, 29, 56, 83, 2, 32, 59, 86, 5, 28, 55, 82)(3, 39, 66, 93, 12, 41, 68, 95, 14, 30, 57, 84)(4, 37, 64, 91, 10, 43, 70, 97, 16, 31, 58, 85)(6, 48, 75, 102, 21, 46, 73, 100, 19, 33, 60, 87)(7, 35, 62, 89, 8, 50, 77, 104, 23, 34, 61, 88)(9, 47, 74, 101, 20, 42, 69, 96, 15, 36, 63, 90)(11, 45, 72, 99, 18, 44, 71, 98, 17, 38, 65, 92)(13, 51, 78, 105, 24, 53, 80, 107, 26, 40, 67, 94)(22, 52, 79, 106, 25, 54, 81, 108, 27, 49, 76, 103)
	L = (1, 57)(2, 62)(3, 60)(4, 67)(5, 72)(6, 55)(7, 69)(8, 64)(9, 78)(10, 56)(11, 75)(12, 63)(13, 71)(14, 70)(15, 76)(16, 81)(17, 58)(18, 74)(19, 80)(20, 59)(21, 79)(22, 61)(23, 73)(24, 66)(25, 65)(26, 77)(27, 68)(28, 88)(29, 92)(30, 96)(31, 82)(32, 95)(33, 103)(34, 85)(35, 102)(36, 83)(37, 106)(38, 90)(39, 91)(40, 84)(41, 100)(42, 94)(43, 107)(44, 87)(45, 97)(46, 86)(47, 108)(48, 105)(49, 98)(50, 101)(51, 89)(52, 93)(53, 99)(54, 104)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.74
Transitivity :: VT+
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.76 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ S^2, Z^3, (A^-1, Z^-1), (B^-1, Z^-1), A^-3 * Z^-1, B^-3 * Z^-1, (S * Z)^2, S * A * S * B, B^-2 * A * B^-1 * A^-1, A * B * Z^-1 * A^-1 * B^-1 ]
Map:: non-degenerate
	R = (1, 29, 56, 83, 2, 32, 59, 86, 5, 28, 55, 82)(3, 35, 62, 89, 8, 41, 68, 95, 14, 30, 57, 84)(4, 36, 63, 90, 9, 45, 72, 99, 18, 31, 58, 85)(6, 37, 64, 91, 10, 39, 66, 93, 12, 33, 60, 87)(7, 38, 65, 92, 11, 44, 71, 98, 17, 34, 61, 88)(13, 51, 78, 105, 24, 43, 70, 97, 16, 40, 67, 94)(15, 49, 76, 103, 22, 54, 81, 108, 27, 42, 69, 96)(19, 52, 79, 106, 25, 47, 74, 101, 20, 46, 73, 100)(21, 53, 80, 107, 26, 50, 77, 104, 23, 48, 75, 102)
	L = (1, 57)(2, 62)(3, 66)(4, 70)(5, 68)(6, 55)(7, 76)(8, 60)(9, 67)(10, 56)(11, 81)(12, 59)(13, 73)(14, 64)(15, 75)(16, 74)(17, 69)(18, 78)(19, 58)(20, 72)(21, 65)(22, 80)(23, 61)(24, 79)(25, 63)(26, 71)(27, 77)(28, 88)(29, 92)(30, 96)(31, 82)(32, 98)(33, 102)(34, 90)(35, 103)(36, 83)(37, 107)(38, 99)(39, 104)(40, 84)(41, 108)(42, 105)(43, 95)(44, 85)(45, 86)(46, 91)(47, 87)(48, 100)(49, 97)(50, 101)(51, 89)(52, 93)(53, 106)(54, 94)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.77 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = C2 x ((C2 x C2) : C9) (small group id <72, 16>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, (S * Z)^2, S * A * S * B, Z * A^2 * Z * A^-1 * Z * A^-1, Z * B * Z * A * B^-1 * Z * A^-1, A * Z * B * Z * A^-1 * Z * B^-1, Z * A * Z * B^-1 * Z * A^-2, Z * B * Z * B * Z * B^-2, Z * A * Z * B * A^-1 * Z * B^-1, Z * B^2 * Z * B^-1 * Z * B^-1, A^5 * B^-4 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 37, 73, 109)(3, 43, 79, 115, 7, 39, 75, 111)(4, 45, 81, 117, 9, 40, 76, 112)(5, 47, 83, 119, 11, 41, 77, 113)(6, 49, 85, 121, 13, 42, 78, 114)(8, 53, 89, 125, 17, 44, 80, 116)(10, 57, 93, 129, 21, 46, 82, 118)(12, 51, 87, 123, 15, 48, 84, 120)(14, 56, 92, 128, 20, 50, 86, 122)(16, 55, 91, 127, 19, 52, 88, 124)(18, 59, 95, 131, 23, 54, 90, 126)(22, 60, 96, 132, 24, 58, 94, 130)(25, 62, 98, 134, 26, 61, 97, 133)(27, 69, 105, 141, 33, 63, 99, 135)(28, 65, 101, 137, 29, 64, 100, 136)(30, 71, 107, 143, 35, 66, 102, 138)(31, 70, 106, 142, 34, 67, 103, 139)(32, 72, 108, 144, 36, 68, 104, 140)
	L = (1, 75)(2, 77)(3, 80)(4, 73)(5, 84)(6, 74)(7, 87)(8, 90)(9, 91)(10, 76)(11, 89)(12, 95)(13, 88)(14, 78)(15, 97)(16, 79)(17, 98)(18, 99)(19, 83)(20, 81)(21, 85)(22, 82)(23, 103)(24, 86)(25, 105)(26, 106)(27, 102)(28, 92)(29, 93)(30, 94)(31, 104)(32, 96)(33, 108)(34, 107)(35, 100)(36, 101)(37, 111)(38, 113)(39, 116)(40, 109)(41, 120)(42, 110)(43, 123)(44, 126)(45, 127)(46, 112)(47, 125)(48, 131)(49, 124)(50, 114)(51, 133)(52, 115)(53, 134)(54, 135)(55, 119)(56, 117)(57, 121)(58, 118)(59, 139)(60, 122)(61, 141)(62, 142)(63, 138)(64, 128)(65, 129)(66, 130)(67, 140)(68, 132)(69, 144)(70, 143)(71, 136)(72, 137)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.78 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^2, B^-1 * A, S * B * S * A, (S * Z)^2, (A * Z)^18 ]
Map::
	R = (1, 38, 74, 110, 2, 37, 73, 109)(3, 41, 77, 113, 5, 39, 75, 111)(4, 42, 78, 114, 6, 40, 76, 112)(7, 45, 81, 117, 9, 43, 79, 115)(8, 46, 82, 118, 10, 44, 80, 116)(11, 49, 85, 121, 13, 47, 83, 119)(12, 50, 86, 122, 14, 48, 84, 120)(15, 61, 97, 133, 25, 51, 87, 123)(16, 66, 102, 138, 30, 52, 88, 124)(17, 68, 104, 140, 32, 53, 89, 125)(18, 69, 105, 141, 33, 54, 90, 126)(19, 67, 103, 139, 31, 55, 91, 127)(20, 71, 107, 143, 35, 56, 92, 128)(21, 72, 108, 144, 36, 57, 93, 129)(22, 70, 106, 142, 34, 58, 94, 130)(23, 65, 101, 137, 29, 59, 95, 131)(24, 64, 100, 136, 28, 60, 96, 132)(26, 63, 99, 135, 27, 62, 98, 134)
	L = (1, 75)(2, 76)(3, 73)(4, 74)(5, 79)(6, 80)(7, 77)(8, 78)(9, 83)(10, 84)(11, 81)(12, 82)(13, 87)(14, 100)(15, 85)(16, 103)(17, 105)(18, 106)(19, 101)(20, 102)(21, 104)(22, 99)(23, 98)(24, 107)(25, 108)(26, 95)(27, 94)(28, 86)(29, 91)(30, 92)(31, 88)(32, 93)(33, 89)(34, 90)(35, 96)(36, 97)(37, 111)(38, 112)(39, 109)(40, 110)(41, 115)(42, 116)(43, 113)(44, 114)(45, 119)(46, 120)(47, 117)(48, 118)(49, 123)(50, 136)(51, 121)(52, 139)(53, 141)(54, 142)(55, 137)(56, 138)(57, 140)(58, 135)(59, 134)(60, 143)(61, 144)(62, 131)(63, 130)(64, 122)(65, 127)(66, 128)(67, 124)(68, 129)(69, 125)(70, 126)(71, 132)(72, 133)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.79 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, S * A * S * B, (S * Z)^2, A * Z * B^-1 * Z, B^9 * A^-9 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 37, 73, 109)(3, 42, 78, 114, 6, 39, 75, 111)(4, 41, 77, 113, 5, 40, 76, 112)(7, 46, 82, 118, 10, 43, 79, 115)(8, 45, 81, 117, 9, 44, 80, 116)(11, 50, 86, 122, 14, 47, 83, 119)(12, 49, 85, 121, 13, 48, 84, 120)(15, 54, 90, 126, 18, 51, 87, 123)(16, 53, 89, 125, 17, 52, 88, 124)(19, 58, 94, 130, 22, 55, 91, 127)(20, 57, 93, 129, 21, 56, 92, 128)(23, 62, 98, 134, 26, 59, 95, 131)(24, 61, 97, 133, 25, 60, 96, 132)(27, 66, 102, 138, 30, 63, 99, 135)(28, 65, 101, 137, 29, 64, 100, 136)(31, 70, 106, 142, 34, 67, 103, 139)(32, 69, 105, 141, 33, 68, 104, 140)(35, 72, 108, 144, 36, 71, 107, 143)
	L = (1, 75)(2, 77)(3, 79)(4, 73)(5, 81)(6, 74)(7, 83)(8, 76)(9, 85)(10, 78)(11, 87)(12, 80)(13, 89)(14, 82)(15, 91)(16, 84)(17, 93)(18, 86)(19, 95)(20, 88)(21, 97)(22, 90)(23, 99)(24, 92)(25, 101)(26, 94)(27, 103)(28, 96)(29, 105)(30, 98)(31, 107)(32, 100)(33, 108)(34, 102)(35, 104)(36, 106)(37, 111)(38, 113)(39, 115)(40, 109)(41, 117)(42, 110)(43, 119)(44, 112)(45, 121)(46, 114)(47, 123)(48, 116)(49, 125)(50, 118)(51, 127)(52, 120)(53, 129)(54, 122)(55, 131)(56, 124)(57, 133)(58, 126)(59, 135)(60, 128)(61, 137)(62, 130)(63, 139)(64, 132)(65, 141)(66, 134)(67, 143)(68, 136)(69, 144)(70, 138)(71, 140)(72, 142)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.80 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = S3 x S3 (small group id <36, 10>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2, A^2, (B * A)^2, (S * Z)^2, S * A * S * B, (A * Z * B * Z)^2, (Z * B * A)^3 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 37, 73, 109)(3, 43, 79, 115, 7, 39, 75, 111)(4, 45, 81, 117, 9, 40, 76, 112)(5, 46, 82, 118, 10, 41, 77, 113)(6, 48, 84, 120, 12, 42, 78, 114)(8, 51, 87, 123, 15, 44, 80, 116)(11, 56, 92, 128, 20, 47, 83, 119)(13, 59, 95, 131, 23, 49, 85, 121)(14, 57, 93, 129, 21, 50, 86, 122)(16, 55, 91, 127, 19, 52, 88, 124)(17, 64, 100, 136, 28, 53, 89, 125)(18, 65, 101, 137, 29, 54, 90, 126)(22, 68, 104, 140, 32, 58, 94, 130)(24, 63, 99, 135, 27, 60, 96, 132)(25, 70, 106, 142, 34, 61, 97, 133)(26, 71, 107, 143, 35, 62, 98, 134)(30, 67, 103, 139, 31, 66, 102, 138)(33, 72, 108, 144, 36, 69, 105, 141)
	L = (1, 75)(2, 77)(3, 73)(4, 80)(5, 74)(6, 83)(7, 85)(8, 76)(9, 88)(10, 90)(11, 78)(12, 93)(13, 79)(14, 96)(15, 97)(16, 81)(17, 99)(18, 82)(19, 102)(20, 98)(21, 84)(22, 103)(23, 105)(24, 86)(25, 87)(26, 92)(27, 89)(28, 107)(29, 108)(30, 91)(31, 94)(32, 106)(33, 95)(34, 104)(35, 100)(36, 101)(37, 112)(38, 114)(39, 116)(40, 109)(41, 119)(42, 110)(43, 122)(44, 111)(45, 125)(46, 127)(47, 113)(48, 130)(49, 132)(50, 115)(51, 134)(52, 135)(53, 117)(54, 138)(55, 118)(56, 133)(57, 139)(58, 120)(59, 142)(60, 121)(61, 128)(62, 123)(63, 124)(64, 144)(65, 143)(66, 126)(67, 129)(68, 141)(69, 140)(70, 131)(71, 137)(72, 136)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.81 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A, S * B * S * A, B * A^-3, (S * Z)^2, A^-2 * Z * B^-1 * A^-1 * Z * B * A^-1, Z * A * Z * B^-1 * Z * B^-1 * Z * B^-1, Z * B * A^-1 * Z * A * B^-1 * Z * A^-2 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 37, 73, 109)(3, 43, 79, 115, 7, 39, 75, 111)(4, 45, 81, 117, 9, 40, 76, 112)(5, 46, 82, 118, 10, 41, 77, 113)(6, 48, 84, 120, 12, 42, 78, 114)(8, 51, 87, 123, 15, 44, 80, 116)(11, 56, 92, 128, 20, 47, 83, 119)(13, 58, 94, 130, 22, 49, 85, 121)(14, 60, 96, 132, 24, 50, 86, 122)(16, 63, 99, 135, 27, 52, 88, 124)(17, 54, 90, 126, 18, 53, 89, 125)(19, 66, 102, 138, 30, 55, 91, 127)(21, 67, 103, 139, 31, 57, 93, 129)(23, 64, 100, 136, 28, 59, 95, 131)(25, 70, 106, 142, 34, 61, 97, 133)(26, 71, 107, 143, 35, 62, 98, 134)(29, 68, 104, 140, 32, 65, 101, 137)(33, 72, 108, 144, 36, 69, 105, 141)
	L = (1, 75)(2, 77)(3, 80)(4, 73)(5, 83)(6, 74)(7, 85)(8, 76)(9, 88)(10, 90)(11, 78)(12, 93)(13, 95)(14, 79)(15, 97)(16, 100)(17, 81)(18, 101)(19, 82)(20, 98)(21, 104)(22, 84)(23, 86)(24, 105)(25, 92)(26, 87)(27, 107)(28, 89)(29, 91)(30, 108)(31, 106)(32, 94)(33, 103)(34, 96)(35, 102)(36, 99)(37, 111)(38, 113)(39, 116)(40, 109)(41, 119)(42, 110)(43, 121)(44, 112)(45, 124)(46, 126)(47, 114)(48, 129)(49, 131)(50, 115)(51, 133)(52, 136)(53, 117)(54, 137)(55, 118)(56, 134)(57, 140)(58, 120)(59, 122)(60, 141)(61, 128)(62, 123)(63, 143)(64, 125)(65, 127)(66, 144)(67, 142)(68, 130)(69, 139)(70, 132)(71, 138)(72, 135)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.82 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Z^2, S^2, (B^-1, A^-1), (S * Z)^2, A^-1 * Z * B * Z, S * B * S * A, B^3 * A^-3, B^6 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 37, 73, 109)(3, 44, 80, 116, 8, 39, 75, 111)(4, 43, 79, 115, 7, 40, 76, 112)(5, 46, 82, 118, 10, 41, 77, 113)(6, 45, 81, 117, 9, 42, 78, 114)(11, 58, 94, 130, 22, 47, 83, 119)(12, 56, 92, 128, 20, 48, 84, 120)(13, 59, 95, 131, 23, 49, 85, 121)(14, 55, 91, 127, 19, 50, 86, 122)(15, 57, 93, 129, 21, 51, 87, 123)(16, 62, 98, 134, 26, 52, 88, 124)(17, 61, 97, 133, 25, 53, 89, 125)(18, 60, 96, 132, 24, 54, 90, 126)(27, 68, 104, 140, 32, 63, 99, 135)(28, 71, 107, 143, 35, 64, 100, 136)(29, 70, 106, 142, 34, 65, 101, 137)(30, 69, 105, 141, 33, 66, 102, 138)(31, 72, 108, 144, 36, 67, 103, 139)
	L = (1, 75)(2, 79)(3, 83)(4, 84)(5, 73)(6, 85)(7, 91)(8, 92)(9, 74)(10, 93)(11, 99)(12, 100)(13, 101)(14, 102)(15, 76)(16, 77)(17, 78)(18, 103)(19, 104)(20, 105)(21, 106)(22, 107)(23, 80)(24, 81)(25, 82)(26, 108)(27, 88)(28, 90)(29, 86)(30, 89)(31, 87)(32, 96)(33, 98)(34, 94)(35, 97)(36, 95)(37, 114)(38, 118)(39, 121)(40, 109)(41, 125)(42, 126)(43, 129)(44, 110)(45, 133)(46, 134)(47, 137)(48, 111)(49, 139)(50, 112)(51, 113)(52, 138)(53, 136)(54, 135)(55, 142)(56, 115)(57, 144)(58, 116)(59, 117)(60, 143)(61, 141)(62, 140)(63, 122)(64, 119)(65, 123)(66, 120)(67, 124)(68, 130)(69, 127)(70, 131)(71, 128)(72, 132)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.83 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A^-1, S * B * S * A, (S * Z)^2, A^2 * Z * A^-2 * Z, A^6, A * Z * A^-1 * Z * A * Z * A^-1 * Z * A^-1 * Z * A * Z ]
Map::
	R = (1, 38, 74, 110, 2, 37, 73, 109)(3, 43, 79, 115, 7, 39, 75, 111)(4, 45, 81, 117, 9, 40, 76, 112)(5, 47, 83, 119, 11, 41, 77, 113)(6, 49, 85, 121, 13, 42, 78, 114)(8, 48, 84, 120, 12, 44, 80, 116)(10, 50, 86, 122, 14, 46, 82, 118)(15, 59, 95, 131, 23, 51, 87, 123)(16, 61, 97, 133, 25, 52, 88, 124)(17, 60, 96, 132, 24, 53, 89, 125)(18, 62, 98, 134, 26, 54, 90, 126)(19, 63, 99, 135, 27, 55, 91, 127)(20, 65, 101, 137, 29, 56, 92, 128)(21, 64, 100, 136, 28, 57, 93, 129)(22, 66, 102, 138, 30, 58, 94, 130)(31, 70, 106, 142, 34, 67, 103, 139)(32, 71, 107, 143, 35, 68, 104, 140)(33, 72, 108, 144, 36, 69, 105, 141)
	L = (1, 75)(2, 77)(3, 80)(4, 73)(5, 84)(6, 74)(7, 87)(8, 89)(9, 88)(10, 76)(11, 91)(12, 93)(13, 92)(14, 78)(15, 96)(16, 79)(17, 82)(18, 81)(19, 100)(20, 83)(21, 86)(22, 85)(23, 103)(24, 90)(25, 104)(26, 105)(27, 106)(28, 94)(29, 107)(30, 108)(31, 98)(32, 95)(33, 97)(34, 102)(35, 99)(36, 101)(37, 112)(38, 114)(39, 109)(40, 118)(41, 110)(42, 122)(43, 124)(44, 111)(45, 126)(46, 125)(47, 128)(48, 113)(49, 130)(50, 129)(51, 115)(52, 117)(53, 116)(54, 132)(55, 119)(56, 121)(57, 120)(58, 136)(59, 140)(60, 123)(61, 141)(62, 139)(63, 143)(64, 127)(65, 144)(66, 142)(67, 131)(68, 133)(69, 134)(70, 135)(71, 137)(72, 138)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.84 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = S3 x S3 (small group id <36, 10>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, (S * Z)^2, S * A * S * B, B^3 * A^-3, B * Z * B * A^-1 * Z * A^-1, (A * B^-1)^3, A^2 * Z * B^-2 * Z, B * Z * B * Z * A * Z * B^-1 * Z * A^-1 * Z * A^-1 * Z, A * Z * B * Z * A * Z * A^-1 * Z * B^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 37, 73, 109)(3, 43, 79, 115, 7, 39, 75, 111)(4, 45, 81, 117, 9, 40, 76, 112)(5, 47, 83, 119, 11, 41, 77, 113)(6, 49, 85, 121, 13, 42, 78, 114)(8, 50, 86, 122, 14, 44, 80, 116)(10, 48, 84, 120, 12, 46, 82, 118)(15, 59, 95, 131, 23, 51, 87, 123)(16, 60, 96, 132, 24, 52, 88, 124)(17, 61, 97, 133, 25, 53, 89, 125)(18, 62, 98, 134, 26, 54, 90, 126)(19, 63, 99, 135, 27, 55, 91, 127)(20, 64, 100, 136, 28, 56, 92, 128)(21, 65, 101, 137, 29, 57, 93, 129)(22, 66, 102, 138, 30, 58, 94, 130)(31, 71, 107, 143, 35, 67, 103, 139)(32, 70, 106, 142, 34, 68, 104, 140)(33, 72, 108, 144, 36, 69, 105, 141)
	L = (1, 75)(2, 77)(3, 80)(4, 73)(5, 84)(6, 74)(7, 87)(8, 89)(9, 90)(10, 76)(11, 91)(12, 93)(13, 94)(14, 78)(15, 81)(16, 79)(17, 82)(18, 97)(19, 85)(20, 83)(21, 86)(22, 101)(23, 103)(24, 105)(25, 88)(26, 104)(27, 106)(28, 108)(29, 92)(30, 107)(31, 96)(32, 95)(33, 98)(34, 100)(35, 99)(36, 102)(37, 111)(38, 113)(39, 116)(40, 109)(41, 120)(42, 110)(43, 123)(44, 125)(45, 126)(46, 112)(47, 127)(48, 129)(49, 130)(50, 114)(51, 117)(52, 115)(53, 118)(54, 133)(55, 121)(56, 119)(57, 122)(58, 137)(59, 139)(60, 141)(61, 124)(62, 140)(63, 142)(64, 144)(65, 128)(66, 143)(67, 132)(68, 131)(69, 134)(70, 136)(71, 135)(72, 138)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.85 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x ((C3 x C3) : C2) (small group id <36, 13>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2, A^2, S * B * S * A, (S * Z)^2, (B * A)^3, (B * Z * A)^2, (A * Z)^6 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 37, 73, 109)(3, 43, 79, 115, 7, 39, 75, 111)(4, 45, 81, 117, 9, 40, 76, 112)(5, 47, 83, 119, 11, 41, 77, 113)(6, 49, 85, 121, 13, 42, 78, 114)(8, 50, 86, 122, 14, 44, 80, 116)(10, 48, 84, 120, 12, 46, 82, 118)(15, 59, 95, 131, 23, 51, 87, 123)(16, 61, 97, 133, 25, 52, 88, 124)(17, 60, 96, 132, 24, 53, 89, 125)(18, 62, 98, 134, 26, 54, 90, 126)(19, 63, 99, 135, 27, 55, 91, 127)(20, 65, 101, 137, 29, 56, 92, 128)(21, 64, 100, 136, 28, 57, 93, 129)(22, 66, 102, 138, 30, 58, 94, 130)(31, 70, 106, 142, 34, 67, 103, 139)(32, 72, 108, 144, 36, 68, 104, 140)(33, 71, 107, 143, 35, 69, 105, 141)
	L = (1, 75)(2, 77)(3, 73)(4, 82)(5, 74)(6, 86)(7, 87)(8, 89)(9, 88)(10, 76)(11, 91)(12, 93)(13, 92)(14, 78)(15, 79)(16, 81)(17, 80)(18, 96)(19, 83)(20, 85)(21, 84)(22, 100)(23, 103)(24, 90)(25, 104)(26, 105)(27, 106)(28, 94)(29, 107)(30, 108)(31, 95)(32, 97)(33, 98)(34, 99)(35, 101)(36, 102)(37, 112)(38, 114)(39, 116)(40, 109)(41, 120)(42, 110)(43, 124)(44, 111)(45, 126)(46, 125)(47, 128)(48, 113)(49, 130)(50, 129)(51, 132)(52, 115)(53, 118)(54, 117)(55, 136)(56, 119)(57, 122)(58, 121)(59, 140)(60, 123)(61, 141)(62, 139)(63, 143)(64, 127)(65, 144)(66, 142)(67, 134)(68, 131)(69, 133)(70, 138)(71, 135)(72, 137)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.86 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x A4 (small group id <36, 11>)
Aut   = A4 x S3 (small group id <72, 44>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^3, A^3, (A^-1, B^-1), S * B * S * A, (S * Z)^2, Z * B * A * Z * A^-1 * B^-1, (Z * A^-1)^3, (Z * B^-1)^3, B^-1 * A * Z * A * B * Z * A ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 37, 73, 109)(3, 47, 83, 119, 11, 39, 75, 111)(4, 50, 86, 122, 14, 40, 76, 112)(5, 52, 88, 124, 16, 41, 77, 113)(6, 54, 90, 126, 18, 42, 78, 114)(7, 55, 91, 127, 19, 43, 79, 115)(8, 58, 94, 130, 22, 44, 80, 116)(9, 60, 96, 132, 24, 45, 81, 117)(10, 62, 98, 134, 26, 46, 82, 118)(12, 56, 92, 128, 20, 48, 84, 120)(13, 66, 102, 138, 30, 49, 85, 121)(15, 70, 106, 142, 34, 51, 87, 123)(17, 61, 97, 133, 25, 53, 89, 125)(21, 65, 101, 137, 29, 57, 93, 129)(23, 68, 104, 140, 32, 59, 95, 131)(27, 67, 103, 139, 31, 63, 99, 135)(28, 69, 105, 141, 33, 64, 100, 136)(35, 72, 108, 144, 36, 71, 107, 143)
	L = (1, 75)(2, 79)(3, 77)(4, 84)(5, 73)(6, 85)(7, 81)(8, 92)(9, 74)(10, 93)(11, 96)(12, 87)(13, 89)(14, 103)(15, 76)(16, 105)(17, 78)(18, 101)(19, 88)(20, 95)(21, 97)(22, 99)(23, 80)(24, 100)(25, 82)(26, 102)(27, 106)(28, 83)(29, 108)(30, 107)(31, 104)(32, 86)(33, 91)(34, 94)(35, 98)(36, 90)(37, 114)(38, 118)(39, 121)(40, 109)(41, 125)(42, 112)(43, 129)(44, 110)(45, 133)(46, 116)(47, 137)(48, 111)(49, 120)(50, 141)(51, 113)(52, 143)(53, 123)(54, 130)(55, 138)(56, 115)(57, 128)(58, 136)(59, 117)(60, 144)(61, 131)(62, 122)(63, 119)(64, 126)(65, 135)(66, 139)(67, 127)(68, 124)(69, 134)(70, 132)(71, 140)(72, 142)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.87 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x C6 x S3 (small group id <72, 48>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, S * B * S * A, B^3 * A^-3, B^2 * Z * B^-2 * A * Z * A^-1, B * Z * B^-1 * A^2 * Z * A^-2, B^3 * Z * A^-3 * Z, B * Z * A * Z * B^-1 * Z * A^-1 * Z, B * Z * B * Z * B^-1 * Z * B^-1 * Z, A * Z * A * Z * A^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 37, 73, 109)(3, 43, 79, 115, 7, 39, 75, 111)(4, 45, 81, 117, 9, 40, 76, 112)(5, 47, 83, 119, 11, 41, 77, 113)(6, 49, 85, 121, 13, 42, 78, 114)(8, 53, 89, 125, 17, 44, 80, 116)(10, 57, 93, 129, 21, 46, 82, 118)(12, 60, 96, 132, 24, 48, 84, 120)(14, 64, 100, 136, 28, 50, 86, 122)(15, 58, 94, 130, 22, 51, 87, 123)(16, 62, 98, 134, 26, 52, 88, 124)(18, 61, 97, 133, 25, 54, 90, 126)(19, 59, 95, 131, 23, 55, 91, 127)(20, 63, 99, 135, 27, 56, 92, 128)(29, 71, 107, 143, 35, 65, 101, 137)(30, 70, 106, 142, 34, 66, 102, 138)(31, 69, 105, 141, 33, 67, 103, 139)(32, 72, 108, 144, 36, 68, 104, 140)
	L = (1, 75)(2, 77)(3, 80)(4, 73)(5, 84)(6, 74)(7, 87)(8, 90)(9, 91)(10, 76)(11, 94)(12, 97)(13, 98)(14, 78)(15, 101)(16, 79)(17, 103)(18, 82)(19, 104)(20, 81)(21, 102)(22, 105)(23, 83)(24, 107)(25, 86)(26, 108)(27, 85)(28, 106)(29, 93)(30, 88)(31, 92)(32, 89)(33, 100)(34, 95)(35, 99)(36, 96)(37, 111)(38, 113)(39, 116)(40, 109)(41, 120)(42, 110)(43, 123)(44, 126)(45, 127)(46, 112)(47, 130)(48, 133)(49, 134)(50, 114)(51, 137)(52, 115)(53, 139)(54, 118)(55, 140)(56, 117)(57, 138)(58, 141)(59, 119)(60, 143)(61, 122)(62, 144)(63, 121)(64, 142)(65, 129)(66, 124)(67, 128)(68, 125)(69, 136)(70, 131)(71, 135)(72, 132)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.88 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x C6 x S3 (small group id <72, 48>)
|r| :: 2
Presentation :: [ Z^2, S^2, A * B, (S * Z)^2, S * A * S * B, B * Z * A * B^-1 * Z * B, A^2 * Z * A^-2 * Z, B^3 * A^-3, A * Z * A^-1 * Z * A * Z * A^-1 * Z * A^-1 * Z * A * Z, A * Z * B * Z * A^-1 * Z * A * Z * B^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 37, 73, 109)(3, 43, 79, 115, 7, 39, 75, 111)(4, 45, 81, 117, 9, 40, 76, 112)(5, 47, 83, 119, 11, 41, 77, 113)(6, 49, 85, 121, 13, 42, 78, 114)(8, 48, 84, 120, 12, 44, 80, 116)(10, 50, 86, 122, 14, 46, 82, 118)(15, 59, 95, 131, 23, 51, 87, 123)(16, 61, 97, 133, 25, 52, 88, 124)(17, 60, 96, 132, 24, 53, 89, 125)(18, 62, 98, 134, 26, 54, 90, 126)(19, 63, 99, 135, 27, 55, 91, 127)(20, 65, 101, 137, 29, 56, 92, 128)(21, 64, 100, 136, 28, 57, 93, 129)(22, 66, 102, 138, 30, 58, 94, 130)(31, 70, 106, 142, 34, 67, 103, 139)(32, 71, 107, 143, 35, 68, 104, 140)(33, 72, 108, 144, 36, 69, 105, 141)
	L = (1, 75)(2, 77)(3, 80)(4, 73)(5, 84)(6, 74)(7, 87)(8, 89)(9, 88)(10, 76)(11, 91)(12, 93)(13, 92)(14, 78)(15, 96)(16, 79)(17, 82)(18, 81)(19, 100)(20, 83)(21, 86)(22, 85)(23, 103)(24, 90)(25, 104)(26, 105)(27, 106)(28, 94)(29, 107)(30, 108)(31, 98)(32, 95)(33, 97)(34, 102)(35, 99)(36, 101)(37, 111)(38, 113)(39, 116)(40, 109)(41, 120)(42, 110)(43, 123)(44, 125)(45, 124)(46, 112)(47, 127)(48, 129)(49, 128)(50, 114)(51, 132)(52, 115)(53, 118)(54, 117)(55, 136)(56, 119)(57, 122)(58, 121)(59, 139)(60, 126)(61, 140)(62, 141)(63, 142)(64, 130)(65, 143)(66, 144)(67, 134)(68, 131)(69, 133)(70, 138)(71, 135)(72, 137)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.89 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {13})
Quotient :: toric
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ S^2, B^3, A^3, Z^-2 * A^-1 * B^-1, S * A * S * B, Z * A^-1 * Z^-1 * B^-1, (S * Z)^2, Z^-1 * A * B^-1 * A^-1 * B, B^-1 * Z * A^-1 * Z * B * A, A * Z * A^-1 * B^-1 * A^-1 * Z^-1, Z * B * Z * B * Z^-1 * A^-1, (B * Z^-1)^3, Z^-1 * B^-1 * A * Z^-1 * A * Z^-1 ]
Map:: non-degenerate
	R = (1, 41, 80, 119, 2, 47, 86, 125, 8, 65, 104, 143, 26, 75, 114, 153, 36, 64, 103, 142, 25, 74, 113, 152, 35, 76, 115, 154, 37, 53, 92, 131, 14, 69, 108, 147, 30, 77, 116, 155, 38, 56, 95, 134, 17, 44, 83, 122, 5, 40, 79, 118)(3, 52, 91, 130, 13, 46, 85, 124, 7, 48, 87, 126, 9, 68, 107, 146, 29, 51, 90, 129, 12, 66, 105, 144, 27, 58, 97, 136, 19, 62, 101, 140, 23, 78, 117, 156, 39, 59, 98, 137, 20, 73, 112, 151, 34, 54, 93, 132, 15, 42, 81, 120)(4, 50, 89, 128, 11, 72, 111, 150, 33, 70, 109, 148, 31, 60, 99, 138, 21, 45, 84, 123, 6, 61, 100, 139, 22, 55, 94, 133, 16, 71, 110, 149, 32, 49, 88, 127, 10, 67, 106, 145, 28, 63, 102, 141, 24, 57, 96, 135, 18, 43, 82, 121)
	L = (1, 81)(2, 87)(3, 84)(4, 95)(5, 98)(6, 79)(7, 102)(8, 105)(9, 89)(10, 83)(11, 80)(12, 94)(13, 110)(14, 112)(15, 111)(16, 113)(17, 97)(18, 92)(19, 82)(20, 88)(21, 116)(22, 104)(23, 109)(24, 103)(25, 85)(26, 117)(27, 106)(28, 86)(29, 99)(30, 91)(31, 115)(32, 108)(33, 114)(34, 96)(35, 90)(36, 93)(37, 101)(38, 107)(39, 100)(40, 124)(41, 129)(42, 133)(43, 118)(44, 132)(45, 125)(46, 121)(47, 140)(48, 148)(49, 119)(50, 143)(51, 127)(52, 145)(53, 120)(54, 138)(55, 131)(56, 156)(57, 155)(58, 150)(59, 141)(60, 122)(61, 142)(62, 123)(63, 154)(64, 146)(65, 151)(66, 135)(67, 153)(68, 139)(69, 126)(70, 147)(71, 134)(72, 152)(73, 128)(74, 136)(75, 130)(76, 137)(77, 144)(78, 149)
	local type(s) :: { ( 4^52 ) }
Outer automorphisms :: reflexible
Dual of E19.90
Transitivity :: VT+
Graph::
	v = 3 e = 78 f = 39
	degree seq :: [ 52^3 ]

E19.90 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {13})
Quotient :: toric
Aut^+ = C13 : C3 (small group id <39, 1>)
Aut   = (C13 : C3) : C2 (small group id <78, 1>)
|r| :: 2
Presentation :: [ Z, S^2, A^3, B^3, (S * Z)^2, S * B * S * A, (A * B^-1)^3, B^-1 * A^-1 * B * A * B^-1 * A^-1 * B^-1 * A^-1, (Z^-1 * A * B^-1 * A^-1 * B)^13 ]
Map:: non-degenerate
	R = (1, 40, 79, 118)(2, 41, 80, 119)(3, 42, 81, 120)(4, 43, 82, 121)(5, 44, 83, 122)(6, 45, 84, 123)(7, 46, 85, 124)(8, 47, 86, 125)(9, 48, 87, 126)(10, 49, 88, 127)(11, 50, 89, 128)(12, 51, 90, 129)(13, 52, 91, 130)(14, 53, 92, 131)(15, 54, 93, 132)(16, 55, 94, 133)(17, 56, 95, 134)(18, 57, 96, 135)(19, 58, 97, 136)(20, 59, 98, 137)(21, 60, 99, 138)(22, 61, 100, 139)(23, 62, 101, 140)(24, 63, 102, 141)(25, 64, 103, 142)(26, 65, 104, 143)(27, 66, 105, 144)(28, 67, 106, 145)(29, 68, 107, 146)(30, 69, 108, 147)(31, 70, 109, 148)(32, 71, 110, 149)(33, 72, 111, 150)(34, 73, 112, 151)(35, 74, 113, 152)(36, 75, 114, 153)(37, 76, 115, 154)(38, 77, 116, 155)(39, 78, 117, 156)
	L = (1, 80)(2, 82)(3, 86)(4, 79)(5, 90)(6, 92)(7, 94)(8, 87)(9, 81)(10, 99)(11, 101)(12, 91)(13, 83)(14, 93)(15, 84)(16, 95)(17, 85)(18, 111)(19, 104)(20, 113)(21, 100)(22, 88)(23, 102)(24, 89)(25, 110)(26, 106)(27, 117)(28, 97)(29, 109)(30, 105)(31, 115)(32, 116)(33, 112)(34, 96)(35, 114)(36, 98)(37, 107)(38, 103)(39, 108)(40, 122)(41, 124)(42, 118)(43, 128)(44, 120)(45, 119)(46, 123)(47, 136)(48, 137)(49, 121)(50, 127)(51, 139)(52, 144)(53, 146)(54, 147)(55, 126)(56, 149)(57, 125)(58, 135)(59, 133)(60, 150)(61, 142)(62, 132)(63, 152)(64, 129)(65, 130)(66, 143)(67, 131)(68, 145)(69, 140)(70, 134)(71, 148)(72, 154)(73, 141)(74, 151)(75, 156)(76, 138)(77, 153)(78, 155)
	local type(s) :: { ( 52^4 ) }
Outer automorphisms :: reflexible
Dual of E19.89
Transitivity :: VT+
Graph:: simple
	v = 39 e = 78 f = 3
	degree seq :: [ 4^39 ]

E19.91 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7})
Quotient :: toric
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ S^2, A * B * Z, Z * B * Z^-1 * A, S * B * S * A, (S * Z)^2, Z^2 * A^-1 * B^-1 * Z, A^2 * Z^-1 * B^2, B^6, B^3 * A^-3, (B * A^-1)^3 ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 50, 92, 134, 8, 57, 99, 141, 15, 66, 108, 150, 24, 63, 105, 147, 21, 47, 89, 131, 5, 43, 85, 127)(3, 53, 95, 137, 11, 74, 116, 158, 32, 61, 103, 145, 19, 49, 91, 133, 7, 67, 109, 151, 25, 55, 97, 139, 13, 45, 87, 129)(4, 48, 90, 132, 6, 51, 93, 135, 9, 52, 94, 136, 10, 70, 112, 154, 28, 62, 104, 146, 20, 59, 101, 143, 17, 46, 88, 130)(12, 75, 117, 159, 33, 68, 110, 152, 26, 78, 120, 162, 36, 56, 98, 140, 14, 79, 121, 163, 37, 69, 111, 153, 27, 54, 96, 138)(16, 60, 102, 144, 18, 64, 106, 148, 22, 65, 107, 149, 23, 71, 113, 155, 29, 72, 114, 156, 30, 73, 115, 157, 31, 58, 100, 142)(34, 82, 124, 166, 40, 80, 122, 164, 38, 83, 125, 167, 41, 77, 119, 161, 35, 84, 126, 168, 42, 81, 123, 165, 39, 76, 118, 160)
	L = (1, 87)(2, 91)(3, 96)(4, 99)(5, 103)(6, 85)(7, 110)(8, 95)(9, 108)(10, 86)(11, 98)(12, 118)(13, 120)(14, 122)(15, 109)(16, 94)(17, 89)(18, 88)(19, 121)(20, 92)(21, 97)(22, 112)(23, 90)(24, 116)(25, 111)(26, 124)(27, 125)(28, 105)(29, 104)(30, 93)(31, 101)(32, 117)(33, 119)(34, 107)(35, 114)(36, 126)(37, 123)(38, 113)(39, 115)(40, 100)(41, 102)(42, 106)(43, 133)(44, 137)(45, 140)(46, 127)(47, 129)(48, 150)(49, 153)(50, 151)(51, 128)(52, 147)(53, 159)(54, 161)(55, 138)(56, 165)(57, 158)(58, 130)(59, 141)(60, 154)(61, 152)(62, 131)(63, 145)(64, 132)(65, 146)(66, 139)(67, 162)(68, 168)(69, 160)(70, 134)(71, 135)(72, 143)(73, 136)(74, 163)(75, 166)(76, 142)(77, 148)(78, 164)(79, 167)(80, 144)(81, 149)(82, 155)(83, 156)(84, 157)
	local type(s) :: { ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E19.93
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 84 f = 42
	degree seq :: [ 28^6 ]

E19.92 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7})
Quotient :: toric
Aut^+ = (C7 : C3) : C2 (small group id <42, 1>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ S^2, Z * A^-1 * B^-1, Z^-1 * B^-1 * A^-1 * Z^-1, S * A * S * B, (S * Z)^2, A * B^-1 * A^-1 * B * Z^-1, B * A^-1 * Z * B^-1 * A, A^6, A^2 * Z * B^2 * Z, (B^2 * A^-1)^2, A^6, B^-1 * A^-1 * Z^5 ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 50, 92, 134, 8, 70, 112, 154, 28, 78, 120, 162, 36, 56, 98, 140, 14, 47, 89, 131, 5, 43, 85, 127)(3, 54, 96, 138, 12, 53, 95, 137, 11, 51, 93, 135, 9, 62, 104, 146, 20, 68, 110, 152, 26, 49, 91, 133, 7, 45, 87, 129)(4, 58, 100, 142, 16, 48, 90, 132, 6, 64, 106, 148, 22, 63, 105, 147, 21, 52, 94, 136, 10, 60, 102, 144, 18, 46, 88, 130)(13, 72, 114, 156, 30, 71, 113, 155, 29, 69, 111, 153, 27, 67, 109, 151, 25, 75, 117, 159, 33, 57, 99, 141, 15, 55, 97, 139)(17, 81, 123, 165, 39, 61, 103, 145, 19, 65, 107, 149, 23, 73, 115, 157, 31, 66, 108, 150, 24, 74, 116, 158, 32, 59, 101, 143)(34, 82, 124, 166, 40, 83, 125, 167, 41, 80, 122, 164, 38, 79, 121, 163, 37, 84, 126, 168, 42, 77, 119, 161, 35, 76, 118, 160)
	L = (1, 87)(2, 93)(3, 97)(4, 86)(5, 104)(6, 85)(7, 109)(8, 91)(9, 113)(10, 92)(11, 99)(12, 111)(13, 118)(14, 96)(15, 121)(16, 120)(17, 100)(18, 98)(19, 88)(20, 117)(21, 89)(22, 112)(23, 106)(24, 90)(25, 126)(26, 114)(27, 125)(28, 95)(29, 119)(30, 122)(31, 102)(32, 94)(33, 124)(34, 108)(35, 103)(36, 110)(37, 107)(38, 101)(39, 105)(40, 123)(41, 115)(42, 116)(43, 133)(44, 137)(45, 141)(46, 127)(47, 135)(48, 131)(49, 153)(50, 152)(51, 156)(52, 128)(53, 159)(54, 155)(55, 161)(56, 129)(57, 164)(58, 154)(59, 130)(60, 162)(61, 144)(62, 151)(63, 140)(64, 134)(65, 132)(66, 142)(67, 163)(68, 139)(69, 166)(70, 138)(71, 168)(72, 167)(73, 136)(74, 147)(75, 160)(76, 157)(77, 165)(78, 146)(79, 145)(80, 158)(81, 148)(82, 143)(83, 149)(84, 150)
	local type(s) :: { ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E19.94
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 84 f = 42
	degree seq :: [ 28^6 ]

E19.93 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7})
Quotient :: toric
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ Z, S^2, S * B * S * A, (S * Z)^2, B^6, A^6, A^-1 * B^-1 * A * B * A^-1 * B^-1, (B * A^-1)^3, A^-2 * B^-3 * A^-1, B * A^-1 * B^-1 * A * B^-1 * A^-1 * B^-1 * A^-1, (Z^-1 * B^-1 * A^-1)^7 ]
Map:: non-degenerate
	R = (1, 43, 85, 127)(2, 44, 86, 128)(3, 45, 87, 129)(4, 46, 88, 130)(5, 47, 89, 131)(6, 48, 90, 132)(7, 49, 91, 133)(8, 50, 92, 134)(9, 51, 93, 135)(10, 52, 94, 136)(11, 53, 95, 137)(12, 54, 96, 138)(13, 55, 97, 139)(14, 56, 98, 140)(15, 57, 99, 141)(16, 58, 100, 142)(17, 59, 101, 143)(18, 60, 102, 144)(19, 61, 103, 145)(20, 62, 104, 146)(21, 63, 105, 147)(22, 64, 106, 148)(23, 65, 107, 149)(24, 66, 108, 150)(25, 67, 109, 151)(26, 68, 110, 152)(27, 69, 111, 153)(28, 70, 112, 154)(29, 71, 113, 155)(30, 72, 114, 156)(31, 73, 115, 157)(32, 74, 116, 158)(33, 75, 117, 159)(34, 76, 118, 160)(35, 77, 119, 161)(36, 78, 120, 162)(37, 79, 121, 163)(38, 80, 122, 164)(39, 81, 123, 165)(40, 82, 124, 166)(41, 83, 125, 167)(42, 84, 126, 168)
	L = (1, 86)(2, 90)(3, 93)(4, 85)(5, 99)(6, 102)(7, 105)(8, 108)(9, 111)(10, 113)(11, 87)(12, 116)(13, 88)(14, 112)(15, 114)(16, 89)(17, 115)(18, 97)(19, 119)(20, 121)(21, 123)(22, 124)(23, 91)(24, 125)(25, 92)(26, 126)(27, 101)(28, 122)(29, 100)(30, 94)(31, 95)(32, 120)(33, 96)(34, 98)(35, 117)(36, 103)(37, 118)(38, 104)(39, 110)(40, 109)(41, 106)(42, 107)(43, 131)(44, 134)(45, 127)(46, 140)(47, 143)(48, 146)(49, 128)(50, 152)(51, 154)(52, 129)(53, 158)(54, 130)(55, 148)(56, 145)(57, 159)(58, 151)(59, 144)(60, 136)(61, 132)(62, 138)(63, 141)(64, 133)(65, 135)(66, 137)(67, 164)(68, 139)(69, 161)(70, 165)(71, 162)(72, 167)(73, 163)(74, 166)(75, 168)(76, 142)(77, 150)(78, 147)(79, 149)(80, 156)(81, 157)(82, 153)(83, 160)(84, 155)
	local type(s) :: { ( 28^4 ) }
Outer automorphisms :: reflexible
Dual of E19.91
Transitivity :: VT+
Graph:: simple bipartite
	v = 42 e = 84 f = 6
	degree seq :: [ 4^42 ]

E19.94 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7})
Quotient :: toric
Aut^+ = (C7 : C3) : C2 (small group id <42, 1>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ Z, S^2, S * B * S * A, (S * Z)^2, (B * A^-2)^2, (B^2 * A^-1)^2, A^-1 * B^-1 * A^-1 * B^-2 * A^-1, (B * A^-1)^3, B * A^-1 * B^-1 * A * B^-1 * A^-1, A^6, B^6, B^-1 * A^-3 * B^-3 * A^-1, (Z^-1 * B * A)^7 ]
Map:: non-degenerate
	R = (1, 43, 85, 127)(2, 44, 86, 128)(3, 45, 87, 129)(4, 46, 88, 130)(5, 47, 89, 131)(6, 48, 90, 132)(7, 49, 91, 133)(8, 50, 92, 134)(9, 51, 93, 135)(10, 52, 94, 136)(11, 53, 95, 137)(12, 54, 96, 138)(13, 55, 97, 139)(14, 56, 98, 140)(15, 57, 99, 141)(16, 58, 100, 142)(17, 59, 101, 143)(18, 60, 102, 144)(19, 61, 103, 145)(20, 62, 104, 146)(21, 63, 105, 147)(22, 64, 106, 148)(23, 65, 107, 149)(24, 66, 108, 150)(25, 67, 109, 151)(26, 68, 110, 152)(27, 69, 111, 153)(28, 70, 112, 154)(29, 71, 113, 155)(30, 72, 114, 156)(31, 73, 115, 157)(32, 74, 116, 158)(33, 75, 117, 159)(34, 76, 118, 160)(35, 77, 119, 161)(36, 78, 120, 162)(37, 79, 121, 163)(38, 80, 122, 164)(39, 81, 123, 165)(40, 82, 124, 166)(41, 83, 125, 167)(42, 84, 126, 168)
	L = (1, 86)(2, 90)(3, 93)(4, 85)(5, 99)(6, 102)(7, 105)(8, 108)(9, 111)(10, 113)(11, 87)(12, 115)(13, 88)(14, 118)(15, 117)(16, 89)(17, 116)(18, 97)(19, 121)(20, 95)(21, 101)(22, 98)(23, 91)(24, 96)(25, 92)(26, 94)(27, 123)(28, 100)(29, 122)(30, 124)(31, 125)(32, 120)(33, 126)(34, 119)(35, 114)(36, 107)(37, 110)(38, 103)(39, 104)(40, 106)(41, 109)(42, 112)(43, 131)(44, 134)(45, 127)(46, 140)(47, 143)(48, 146)(49, 128)(50, 152)(51, 151)(52, 129)(53, 149)(54, 130)(55, 155)(56, 153)(57, 150)(58, 145)(59, 156)(60, 162)(61, 132)(62, 166)(63, 165)(64, 133)(65, 164)(66, 137)(67, 161)(68, 168)(69, 163)(70, 135)(71, 167)(72, 136)(73, 142)(74, 138)(75, 139)(76, 141)(77, 144)(78, 154)(79, 158)(80, 160)(81, 159)(82, 157)(83, 147)(84, 148)
	local type(s) :: { ( 28^4 ) }
Outer automorphisms :: reflexible
Dual of E19.92
Transitivity :: VT+
Graph:: simple bipartite
	v = 42 e = 84 f = 6
	degree seq :: [ 4^42 ]

E19.95 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3})
Quotient :: toric
Aut^+ = C2 x (C9 : C3) (small group id <54, 11>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ S^2, Z^3, (S * Z)^2, (Z, B^-1), S * A * S * B, (A^-1, Z^-1), A * Z * B * A^-1 * B^-1, B^2 * A^2 * B * A, (B * A^-1)^3, B^3 * A^-3 ]
Map:: polytopal non-degenerate
	R = (1, 56, 110, 164, 2, 59, 113, 167, 5, 55, 109, 163)(3, 62, 116, 170, 8, 68, 122, 176, 14, 57, 111, 165)(4, 63, 117, 171, 9, 72, 126, 180, 18, 58, 112, 166)(6, 64, 118, 172, 10, 74, 128, 182, 20, 60, 114, 168)(7, 65, 119, 173, 11, 75, 129, 183, 21, 61, 115, 169)(12, 82, 136, 190, 28, 92, 146, 200, 38, 66, 120, 174)(13, 70, 124, 178, 16, 84, 138, 192, 30, 67, 121, 175)(15, 83, 137, 191, 29, 79, 133, 187, 25, 69, 123, 177)(17, 85, 139, 193, 31, 101, 155, 209, 47, 71, 125, 179)(19, 76, 130, 184, 22, 86, 140, 194, 32, 73, 127, 181)(23, 87, 141, 195, 33, 104, 158, 212, 50, 77, 131, 185)(24, 80, 134, 188, 26, 88, 142, 196, 34, 78, 132, 186)(27, 89, 143, 197, 35, 105, 159, 213, 51, 81, 135, 189)(36, 107, 161, 215, 53, 108, 162, 216, 54, 90, 144, 198)(37, 94, 148, 202, 40, 98, 152, 206, 44, 91, 145, 199)(39, 102, 156, 210, 48, 96, 150, 204, 42, 93, 147, 201)(41, 99, 153, 207, 45, 100, 154, 208, 46, 95, 149, 203)(43, 103, 157, 211, 49, 106, 160, 214, 52, 97, 151, 205)
	L = (1, 111)(2, 116)(3, 120)(4, 124)(5, 122)(6, 109)(7, 133)(8, 136)(9, 138)(10, 110)(11, 123)(12, 144)(13, 148)(14, 146)(15, 150)(16, 152)(17, 154)(18, 121)(19, 112)(20, 113)(21, 137)(22, 117)(23, 114)(24, 129)(25, 156)(26, 115)(27, 157)(28, 161)(29, 147)(30, 145)(31, 149)(32, 126)(33, 118)(34, 119)(35, 160)(36, 158)(37, 135)(38, 162)(39, 155)(40, 143)(41, 134)(42, 139)(43, 140)(44, 159)(45, 142)(46, 132)(47, 153)(48, 125)(49, 127)(50, 128)(51, 151)(52, 130)(53, 131)(54, 141)(55, 169)(56, 173)(57, 177)(58, 163)(59, 183)(60, 186)(61, 189)(62, 191)(63, 164)(64, 188)(65, 197)(66, 201)(67, 165)(68, 187)(69, 205)(70, 170)(71, 166)(72, 167)(73, 182)(74, 196)(75, 213)(76, 168)(77, 207)(78, 202)(79, 214)(80, 206)(81, 215)(82, 210)(83, 211)(84, 176)(85, 171)(86, 172)(87, 208)(88, 199)(89, 216)(90, 179)(91, 174)(92, 204)(93, 184)(94, 190)(95, 175)(96, 181)(97, 185)(98, 200)(99, 178)(100, 192)(101, 180)(102, 194)(103, 195)(104, 203)(105, 198)(106, 212)(107, 193)(108, 209)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.96
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 54
	degree seq :: [ 12^18 ]

E19.96 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3})
Quotient :: toric
Aut^+ = C2 x (C9 : C3) (small group id <54, 11>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ Z, S^2, S * B * S * A, (S * Z)^2, A^-1 * B^-2 * A^-1 * B^-1 * A^-1, B^3 * A^-3, (B^-1 * A)^3, A^-1 * B * A^-2 * B * A * B * A^-1, B^2 * A^-1 * B * A^4, (Z^-1 * A * B^-1 * A^-1 * B)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163)(2, 56, 110, 164)(3, 57, 111, 165)(4, 58, 112, 166)(5, 59, 113, 167)(6, 60, 114, 168)(7, 61, 115, 169)(8, 62, 116, 170)(9, 63, 117, 171)(10, 64, 118, 172)(11, 65, 119, 173)(12, 66, 120, 174)(13, 67, 121, 175)(14, 68, 122, 176)(15, 69, 123, 177)(16, 70, 124, 178)(17, 71, 125, 179)(18, 72, 126, 180)(19, 73, 127, 181)(20, 74, 128, 182)(21, 75, 129, 183)(22, 76, 130, 184)(23, 77, 131, 185)(24, 78, 132, 186)(25, 79, 133, 187)(26, 80, 134, 188)(27, 81, 135, 189)(28, 82, 136, 190)(29, 83, 137, 191)(30, 84, 138, 192)(31, 85, 139, 193)(32, 86, 140, 194)(33, 87, 141, 195)(34, 88, 142, 196)(35, 89, 143, 197)(36, 90, 144, 198)(37, 91, 145, 199)(38, 92, 146, 200)(39, 93, 147, 201)(40, 94, 148, 202)(41, 95, 149, 203)(42, 96, 150, 204)(43, 97, 151, 205)(44, 98, 152, 206)(45, 99, 153, 207)(46, 100, 154, 208)(47, 101, 155, 209)(48, 102, 156, 210)(49, 103, 157, 211)(50, 104, 158, 212)(51, 105, 159, 213)(52, 106, 160, 214)(53, 107, 161, 215)(54, 108, 162, 216)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 123)(6, 126)(7, 129)(8, 132)(9, 135)(10, 138)(11, 111)(12, 142)(13, 112)(14, 145)(15, 139)(16, 113)(17, 140)(18, 148)(19, 125)(20, 152)(21, 154)(22, 124)(23, 115)(24, 156)(25, 116)(26, 157)(27, 149)(28, 150)(29, 155)(30, 122)(31, 118)(32, 119)(33, 158)(34, 151)(35, 120)(36, 121)(37, 153)(38, 159)(39, 160)(40, 141)(41, 134)(42, 133)(43, 127)(44, 136)(45, 128)(46, 143)(47, 144)(48, 130)(49, 131)(50, 146)(51, 162)(52, 137)(53, 147)(54, 161)(55, 167)(56, 170)(57, 163)(58, 176)(59, 179)(60, 182)(61, 164)(62, 188)(63, 191)(64, 165)(65, 195)(66, 166)(67, 190)(68, 183)(69, 197)(70, 189)(71, 198)(72, 172)(73, 168)(74, 174)(75, 209)(76, 169)(77, 212)(78, 173)(79, 208)(80, 175)(81, 213)(82, 171)(83, 207)(84, 205)(85, 211)(86, 215)(87, 204)(88, 214)(89, 202)(90, 210)(91, 203)(92, 177)(93, 178)(94, 184)(95, 180)(96, 181)(97, 200)(98, 185)(99, 194)(100, 216)(101, 193)(102, 196)(103, 201)(104, 199)(105, 186)(106, 187)(107, 192)(108, 206)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E19.95
Transitivity :: VT+
Graph:: simple bipartite
	v = 54 e = 108 f = 18
	degree seq :: [ 4^54 ]

E19.97 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2})
Quotient :: toric
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^4, (S * Z)^2, S * A * S * B, A^4, A * Z * B * A * B, Z * A * B^-1 * A^-1 * B, Z * A * Z * B^-1 * Z * B^-1 * A^-1, Z * A^-1 * B * A^-2 * B^-1 * A, B^2 * Z * B^2 * A^-2, Z * B * A^-1 * B^-2 * A * B^-1, Z * A * Z * A * B * Z * B^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 74, 146, 218, 2, 73, 145, 217)(3, 83, 155, 227, 11, 75, 147, 219)(4, 87, 159, 231, 15, 76, 148, 220)(5, 91, 163, 235, 19, 77, 149, 221)(6, 94, 166, 238, 22, 78, 150, 222)(7, 97, 169, 241, 25, 79, 151, 223)(8, 100, 172, 244, 28, 80, 152, 224)(9, 103, 175, 247, 31, 81, 153, 225)(10, 105, 177, 249, 33, 82, 154, 226)(12, 101, 173, 245, 29, 84, 156, 228)(13, 112, 184, 256, 40, 85, 157, 229)(14, 114, 186, 258, 42, 86, 158, 230)(16, 93, 165, 237, 21, 88, 160, 232)(17, 98, 170, 242, 26, 89, 161, 233)(18, 92, 164, 236, 20, 90, 162, 234)(23, 132, 204, 276, 60, 95, 167, 239)(24, 135, 207, 279, 63, 96, 168, 240)(27, 109, 181, 253, 37, 99, 171, 243)(30, 104, 176, 248, 32, 102, 174, 246)(34, 117, 189, 261, 45, 106, 178, 250)(35, 138, 210, 282, 66, 107, 179, 251)(36, 139, 211, 283, 67, 108, 180, 252)(38, 129, 201, 273, 57, 110, 182, 254)(39, 127, 199, 271, 55, 111, 183, 255)(41, 128, 200, 272, 56, 113, 185, 257)(43, 130, 202, 274, 58, 115, 187, 259)(44, 125, 197, 269, 53, 116, 188, 260)(46, 126, 198, 270, 54, 118, 190, 262)(47, 133, 205, 277, 61, 119, 191, 263)(48, 134, 206, 278, 62, 120, 192, 264)(49, 124, 196, 268, 52, 121, 193, 265)(50, 123, 195, 267, 51, 122, 194, 266)(59, 137, 209, 281, 65, 131, 203, 275)(64, 144, 216, 288, 72, 136, 208, 280)(68, 141, 213, 285, 69, 140, 212, 284)(70, 143, 215, 287, 71, 142, 214, 286)
	L = (1, 147)(2, 151)(3, 156)(4, 160)(5, 145)(6, 167)(7, 170)(8, 165)(9, 146)(10, 158)(11, 179)(12, 149)(13, 166)(14, 187)(15, 157)(16, 191)(17, 193)(18, 148)(19, 197)(20, 199)(21, 202)(22, 189)(23, 205)(24, 150)(25, 190)(26, 153)(27, 177)(28, 171)(29, 194)(30, 152)(31, 203)(32, 201)(33, 207)(34, 154)(35, 200)(36, 155)(37, 183)(38, 186)(39, 204)(40, 182)(41, 198)(42, 213)(43, 178)(44, 196)(45, 159)(46, 192)(47, 162)(48, 208)(49, 173)(50, 161)(51, 211)(52, 216)(53, 185)(54, 163)(55, 176)(56, 180)(57, 164)(58, 174)(59, 206)(60, 212)(61, 168)(62, 210)(63, 172)(64, 169)(65, 195)(66, 175)(67, 214)(68, 181)(69, 184)(70, 209)(71, 188)(72, 215)(73, 222)(74, 226)(75, 230)(76, 217)(77, 237)(78, 233)(79, 239)(80, 218)(81, 232)(82, 245)(83, 253)(84, 255)(85, 219)(86, 257)(87, 262)(88, 264)(89, 220)(90, 268)(91, 240)(92, 221)(93, 272)(94, 275)(95, 278)(96, 227)(97, 256)(98, 254)(99, 223)(100, 251)(101, 224)(102, 267)(103, 250)(104, 225)(105, 269)(106, 241)(107, 259)(108, 238)(109, 235)(110, 228)(111, 242)(112, 247)(113, 229)(114, 286)(115, 281)(116, 231)(117, 265)(118, 277)(119, 252)(120, 248)(121, 258)(122, 276)(123, 234)(124, 246)(125, 274)(126, 271)(127, 288)(128, 236)(129, 283)(130, 280)(131, 263)(132, 287)(133, 260)(134, 243)(135, 266)(136, 249)(137, 244)(138, 273)(139, 284)(140, 282)(141, 270)(142, 261)(143, 279)(144, 285)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.98
Transitivity :: VT+
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.98 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2})
Quotient :: toric
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ Z, S^2, A^4, (S * Z)^2, S * A * S * B, B^4, B^-2 * A * B * A^-2 * B^-1 * A^-1, B * A * B * A^-1 * B^2 * A^-2, (B, A^-1)^2, A^-2 * B^2 * A * B^-1 * A^-1 * B^-1, (B * A^-1)^4, Z^-1 * A^-1 * B^-1 * A^-1 * B^-1 * Z^-1 * A * B^-1 * A^-1 * B ]
Map:: polyhedral non-degenerate
	R = (1, 73, 145, 217)(2, 74, 146, 218)(3, 75, 147, 219)(4, 76, 148, 220)(5, 77, 149, 221)(6, 78, 150, 222)(7, 79, 151, 223)(8, 80, 152, 224)(9, 81, 153, 225)(10, 82, 154, 226)(11, 83, 155, 227)(12, 84, 156, 228)(13, 85, 157, 229)(14, 86, 158, 230)(15, 87, 159, 231)(16, 88, 160, 232)(17, 89, 161, 233)(18, 90, 162, 234)(19, 91, 163, 235)(20, 92, 164, 236)(21, 93, 165, 237)(22, 94, 166, 238)(23, 95, 167, 239)(24, 96, 168, 240)(25, 97, 169, 241)(26, 98, 170, 242)(27, 99, 171, 243)(28, 100, 172, 244)(29, 101, 173, 245)(30, 102, 174, 246)(31, 103, 175, 247)(32, 104, 176, 248)(33, 105, 177, 249)(34, 106, 178, 250)(35, 107, 179, 251)(36, 108, 180, 252)(37, 109, 181, 253)(38, 110, 182, 254)(39, 111, 183, 255)(40, 112, 184, 256)(41, 113, 185, 257)(42, 114, 186, 258)(43, 115, 187, 259)(44, 116, 188, 260)(45, 117, 189, 261)(46, 118, 190, 262)(47, 119, 191, 263)(48, 120, 192, 264)(49, 121, 193, 265)(50, 122, 194, 266)(51, 123, 195, 267)(52, 124, 196, 268)(53, 125, 197, 269)(54, 126, 198, 270)(55, 127, 199, 271)(56, 128, 200, 272)(57, 129, 201, 273)(58, 130, 202, 274)(59, 131, 203, 275)(60, 132, 204, 276)(61, 133, 205, 277)(62, 134, 206, 278)(63, 135, 207, 279)(64, 136, 208, 280)(65, 137, 209, 281)(66, 138, 210, 282)(67, 139, 211, 283)(68, 140, 212, 284)(69, 141, 213, 285)(70, 142, 214, 286)(71, 143, 215, 287)(72, 144, 216, 288)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 148)(7, 162)(8, 165)(9, 167)(10, 170)(11, 147)(12, 174)(13, 177)(14, 179)(15, 149)(16, 184)(17, 187)(18, 189)(19, 192)(20, 151)(21, 196)(22, 152)(23, 155)(24, 199)(25, 202)(26, 200)(27, 154)(28, 204)(29, 206)(30, 201)(31, 190)(32, 156)(33, 205)(34, 157)(35, 159)(36, 185)(37, 207)(38, 193)(39, 197)(40, 209)(41, 168)(42, 160)(43, 213)(44, 161)(45, 164)(46, 183)(47, 181)(48, 182)(49, 163)(50, 173)(51, 169)(52, 166)(53, 175)(54, 172)(55, 180)(56, 171)(57, 176)(58, 211)(59, 216)(60, 210)(61, 178)(62, 214)(63, 212)(64, 215)(65, 186)(66, 198)(67, 195)(68, 191)(69, 188)(70, 194)(71, 203)(72, 208)(73, 221)(74, 224)(75, 217)(76, 229)(77, 226)(78, 233)(79, 218)(80, 235)(81, 241)(82, 219)(83, 245)(84, 220)(85, 247)(86, 253)(87, 255)(88, 222)(89, 257)(90, 263)(91, 223)(92, 267)(93, 270)(94, 272)(95, 262)(96, 225)(97, 273)(98, 256)(99, 259)(100, 227)(101, 277)(102, 278)(103, 228)(104, 276)(105, 274)(106, 271)(107, 266)(108, 230)(109, 280)(110, 231)(111, 260)(112, 282)(113, 232)(114, 284)(115, 286)(116, 254)(117, 242)(118, 234)(119, 239)(120, 246)(121, 249)(122, 236)(123, 251)(124, 283)(125, 237)(126, 288)(127, 238)(128, 250)(129, 240)(130, 287)(131, 243)(132, 285)(133, 244)(134, 281)(135, 248)(136, 252)(137, 264)(138, 261)(139, 258)(140, 268)(141, 279)(142, 275)(143, 265)(144, 269)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.97
Transitivity :: VT+
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.99 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 20, 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, Y1^-1 * Y2^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1^6, (Y3 * Y2^-1)^20, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 12, 32, 18, 38, 15, 35, 9, 29, 3, 23, 7, 27, 13, 33, 19, 39, 17, 37, 11, 31, 5, 25, 8, 28, 14, 34, 20, 40, 16, 36, 10, 30, 4, 24)(41, 61, 43, 63, 48, 68, 42, 62, 47, 67, 54, 74, 46, 66, 53, 73, 60, 80, 52, 72, 59, 79, 56, 76, 58, 78, 57, 77, 50, 70, 55, 75, 51, 71, 44, 64, 49, 69, 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) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 20, 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, Y3, R^2, Y2^-1 * Y1^-1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-7, (Y3^-1 * Y1^-1)^20, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 12, 32, 18, 38, 15, 35, 9, 29, 5, 25, 8, 28, 14, 34, 20, 40, 16, 36, 10, 30, 3, 23, 7, 27, 13, 33, 19, 39, 17, 37, 11, 31, 4, 24)(41, 61, 43, 63, 49, 69, 44, 64, 50, 70, 55, 75, 51, 71, 56, 76, 58, 78, 57, 77, 60, 80, 52, 72, 59, 79, 54, 74, 46, 66, 53, 73, 48, 68, 42, 62, 47, 67, 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) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 20, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1^-1), Y2^2 * Y1^-1 * Y2, Y1 * Y3 * Y1^-1 * Y3, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R)^2, Y3 * Y1 * Y2 * Y1^2, Y3 * Y2^-2 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 14, 34, 18, 38, 20, 40, 12, 32, 3, 23, 8, 28, 13, 33, 4, 24, 9, 29, 16, 36, 6, 26, 10, 30, 17, 37, 19, 39, 11, 31, 15, 35, 5, 25)(41, 61, 43, 63, 50, 70, 42, 62, 48, 68, 57, 77, 47, 67, 53, 73, 59, 79, 54, 74, 44, 64, 51, 71, 58, 78, 49, 69, 55, 75, 60, 80, 56, 76, 45, 65, 52, 72, 46, 66)
	L = (1, 44)(2, 49)(3, 51)(4, 41)(5, 53)(6, 54)(7, 56)(8, 55)(9, 42)(10, 58)(11, 43)(12, 59)(13, 45)(14, 46)(15, 48)(16, 47)(17, 60)(18, 50)(19, 52)(20, 57)(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) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.102 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 20, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1 * Y2^-2, (Y2, Y1), Y1 * Y3 * Y1^-1 * Y3, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1 * R)^2, (R * Y1)^2, Y3 * Y1^3 * Y2^-1, Y3 * Y2^-2 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 12, 32, 18, 38, 20, 40, 11, 31, 6, 26, 10, 30, 14, 34, 4, 24, 9, 29, 13, 33, 3, 23, 8, 28, 17, 37, 19, 39, 15, 35, 16, 36, 5, 25)(41, 61, 43, 63, 51, 71, 45, 65, 53, 73, 60, 80, 56, 76, 49, 69, 58, 78, 55, 75, 44, 64, 52, 72, 59, 79, 54, 74, 47, 67, 57, 77, 50, 70, 42, 62, 48, 68, 46, 66)
	L = (1, 44)(2, 49)(3, 52)(4, 41)(5, 54)(6, 55)(7, 53)(8, 58)(9, 42)(10, 56)(11, 59)(12, 43)(13, 47)(14, 45)(15, 46)(16, 50)(17, 60)(18, 48)(19, 51)(20, 57)(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) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 20, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3^-1, Y1 * Y3^-1 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-3, Y2^-1 * Y1^2 * Y2^-1 * Y3^-1, Y3^5, Y3^2 * Y2 * Y3^2 * Y1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 18, 38, 17, 37, 16, 36, 12, 32, 3, 23, 4, 24, 9, 29, 19, 39, 15, 35, 7, 27, 6, 26, 10, 30, 11, 31, 13, 33, 20, 40, 14, 34, 5, 25)(41, 61, 43, 63, 50, 70, 42, 62, 44, 64, 51, 71, 48, 68, 49, 69, 53, 73, 58, 78, 59, 79, 60, 80, 57, 77, 55, 75, 54, 74, 56, 76, 47, 67, 45, 65, 52, 72, 46, 66)
	L = (1, 44)(2, 49)(3, 51)(4, 53)(5, 43)(6, 42)(7, 41)(8, 59)(9, 60)(10, 48)(11, 58)(12, 50)(13, 57)(14, 52)(15, 45)(16, 46)(17, 47)(18, 55)(19, 54)(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) :: { ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E19.104
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 20, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1, Y1 * Y3^-1 * Y2, Y2^2 * Y1^-2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^5, Y3^-2 * Y1^-1 * Y3^-2 * Y2^-1, Y3 * Y2^16 * Y3, (Y3 * Y2^2)^10 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 11, 31, 12, 32, 18, 38, 20, 40, 14, 34, 7, 27, 6, 26, 10, 30, 3, 23, 4, 24, 9, 29, 17, 37, 19, 39, 16, 36, 15, 35, 13, 33, 5, 25)(41, 61, 43, 63, 48, 68, 49, 69, 52, 72, 59, 79, 60, 80, 55, 75, 47, 67, 45, 65, 50, 70, 42, 62, 44, 64, 51, 71, 57, 77, 58, 78, 56, 76, 54, 74, 53, 73, 46, 66)
	L = (1, 44)(2, 49)(3, 51)(4, 52)(5, 43)(6, 42)(7, 41)(8, 57)(9, 58)(10, 48)(11, 59)(12, 56)(13, 50)(14, 45)(15, 46)(16, 47)(17, 60)(18, 55)(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) :: { ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E19.103
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1, Y3^3, Y2 * Y3 * Y1, (R * Y2)^2, Y1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y1^3 * Y2^-1 * Y1 * Y2^-2, Y1^7, Y2^14 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 16, 37, 19, 40, 14, 35, 5, 26)(3, 24, 7, 28, 10, 31, 15, 36, 18, 39, 21, 42, 12, 33)(4, 25, 6, 27, 9, 30, 17, 38, 20, 41, 11, 32, 13, 34)(43, 64, 45, 66, 53, 74, 61, 82, 60, 81, 51, 72, 44, 65, 49, 70, 55, 76, 56, 77, 63, 84, 59, 80, 50, 71, 52, 73, 46, 67, 47, 68, 54, 75, 62, 83, 58, 79, 57, 78, 48, 69)
	L = (1, 46)(2, 48)(3, 47)(4, 49)(5, 55)(6, 52)(7, 43)(8, 51)(9, 57)(10, 44)(11, 54)(12, 56)(13, 45)(14, 53)(15, 50)(16, 59)(17, 60)(18, 58)(19, 62)(20, 63)(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) :: { ( 42^14 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.121
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.106 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 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), Y1 * Y2^-1 * Y3 * Y2^-1, (R * Y2)^2, (Y3, Y2^-1), Y3 * Y1 * Y2^-2, (R * Y3)^2, Y2^2 * Y3^-1 * Y1^-1, (R * Y1)^2, Y1 * Y2^3 * Y1, Y3 * Y1^-1 * Y2 * Y1^-3, Y3^-1 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1^2 * Y2^-1, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 19, 40, 13, 34, 16, 37, 5, 26)(3, 24, 9, 30, 18, 39, 7, 28, 12, 33, 21, 42, 14, 35)(4, 25, 10, 31, 17, 38, 6, 27, 11, 32, 20, 41, 15, 36)(43, 64, 45, 66, 52, 73, 58, 79, 63, 84, 57, 78, 61, 82, 49, 70, 53, 74, 44, 65, 51, 72, 59, 80, 47, 68, 56, 77, 46, 67, 55, 76, 54, 75, 62, 83, 50, 71, 60, 81, 48, 69)
	L = (1, 46)(2, 52)(3, 55)(4, 49)(5, 57)(6, 56)(7, 43)(8, 59)(9, 58)(10, 54)(11, 45)(12, 44)(13, 53)(14, 61)(15, 60)(16, 62)(17, 63)(18, 47)(19, 48)(20, 51)(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) :: { ( 42^14 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.120
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.107 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 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, Y2^2 * Y1 * Y3^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y2^-2 * Y1^-1 * Y3, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y2 * Y3 * Y2, Y1 * Y2^-3 * Y1, Y1^7 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 14, 35, 19, 40, 17, 38, 5, 26)(3, 24, 9, 30, 20, 41, 18, 39, 7, 28, 12, 33, 15, 36)(4, 25, 10, 31, 21, 42, 16, 37, 6, 27, 11, 32, 13, 34)(43, 64, 45, 66, 55, 76, 50, 71, 62, 83, 52, 73, 61, 82, 49, 70, 58, 79, 47, 68, 57, 78, 53, 74, 44, 65, 51, 72, 46, 67, 56, 77, 60, 81, 63, 84, 59, 80, 54, 75, 48, 69)
	L = (1, 46)(2, 52)(3, 56)(4, 49)(5, 55)(6, 51)(7, 43)(8, 63)(9, 61)(10, 54)(11, 62)(12, 44)(13, 60)(14, 58)(15, 50)(16, 45)(17, 53)(18, 47)(19, 48)(20, 59)(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) :: { ( 42^14 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.118
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 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, (Y2, Y1), Y2 * Y1 * Y3 * Y1, (Y3^-1, Y2^-1), Y1^-2 * Y3^-1 * Y2^-1, (R * Y1)^2, Y3 * Y2 * Y1^2, Y2^3 * Y1^-1, (R * Y3)^2, (Y2^-1 * R)^2, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y3, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 18, 39, 21, 42, 13, 34, 5, 26)(3, 24, 9, 30, 7, 28, 12, 33, 17, 38, 20, 41, 14, 35)(4, 25, 10, 31, 6, 27, 11, 32, 19, 40, 15, 36, 16, 37)(43, 64, 45, 66, 53, 74, 44, 65, 51, 72, 61, 82, 50, 71, 49, 70, 57, 78, 60, 81, 54, 75, 58, 79, 63, 84, 59, 80, 46, 67, 55, 76, 62, 83, 52, 73, 47, 68, 56, 77, 48, 69)
	L = (1, 46)(2, 52)(3, 55)(4, 49)(5, 58)(6, 59)(7, 43)(8, 48)(9, 47)(10, 54)(11, 62)(12, 44)(13, 57)(14, 63)(15, 45)(16, 51)(17, 50)(18, 53)(19, 56)(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) :: { ( 42^14 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.122
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 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, Y2^-1 * Y1 * Y3^-1 * Y1, Y1^-1 * Y3 * Y2 * Y1^-1, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-3, (R * Y2)^2, Y1 * Y3 * Y1 * Y2^-1 * Y3, Y1^-3 * Y2 * Y1 * Y3, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 18, 39, 21, 42, 16, 37, 5, 26)(3, 24, 9, 30, 19, 40, 15, 36, 17, 38, 7, 28, 12, 33)(4, 25, 10, 31, 14, 35, 20, 41, 13, 34, 6, 27, 11, 32)(43, 64, 45, 66, 55, 76, 47, 68, 54, 75, 62, 83, 58, 79, 49, 70, 56, 77, 63, 84, 59, 80, 52, 73, 60, 81, 57, 78, 46, 67, 50, 71, 61, 82, 53, 74, 44, 65, 51, 72, 48, 69)
	L = (1, 46)(2, 52)(3, 50)(4, 49)(5, 53)(6, 57)(7, 43)(8, 56)(9, 60)(10, 54)(11, 59)(12, 44)(13, 61)(14, 45)(15, 58)(16, 48)(17, 47)(18, 62)(19, 63)(20, 51)(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 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.119
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.110 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (Y3^-1, Y1^-1), Y1^3 * Y2^3, Y1^-2 * Y3^3 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y1^-2 * Y3, Y2^6 * Y1^-1, Y3 * Y1^2 * Y3^2 * Y1^2, (Y3 * Y2^-1)^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 6, 27, 14, 35, 19, 40, 13, 34, 5, 26)(3, 24, 7, 28, 15, 36, 11, 32, 18, 39, 21, 42, 10, 31)(4, 25, 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, 55, 76, 63, 84, 58, 79, 48, 69, 57, 78, 54, 75, 47, 68, 52, 73, 62, 83, 56, 77, 53, 74, 46, 67)
	L = (1, 46)(2, 50)(3, 43)(4, 53)(5, 54)(6, 58)(7, 44)(8, 60)(9, 45)(10, 47)(11, 56)(12, 57)(13, 59)(14, 62)(15, 48)(16, 63)(17, 49)(18, 61)(19, 51)(20, 52)(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 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.130
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.111 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, (R * Y1)^2, (Y3, Y1), R * Y2 * R * Y3^-1, Y3 * Y2^-1 * Y1^2 * Y3, Y3^-2 * Y2 * Y1^-2, Y1^7, (Y3 * Y2^-1)^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 6, 27, 14, 35, 19, 40, 13, 34, 5, 26)(3, 24, 7, 28, 15, 36, 20, 41, 17, 38, 11, 32, 10, 31)(4, 25, 8, 29, 9, 30, 16, 37, 21, 42, 18, 39, 12, 33)(43, 64, 45, 66, 51, 72, 48, 69, 57, 78, 63, 84, 61, 82, 59, 80, 54, 75, 47, 68, 52, 73, 50, 71, 44, 65, 49, 70, 58, 79, 56, 77, 62, 83, 60, 81, 55, 76, 53, 74, 46, 67)
	L = (1, 46)(2, 50)(3, 43)(4, 53)(5, 54)(6, 51)(7, 44)(8, 52)(9, 45)(10, 47)(11, 55)(12, 59)(13, 60)(14, 58)(15, 48)(16, 49)(17, 61)(18, 62)(19, 63)(20, 56)(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) :: { ( 42^14 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.124
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y2 * Y3, Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2^-2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y2^-2, Y1^7, Y1^-1 * Y2^18, (Y3^-1 * Y1)^21, (Y3^-1 * Y1^-1)^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 6, 27, 12, 33, 17, 38, 11, 32, 5, 26)(3, 24, 7, 28, 13, 34, 18, 39, 21, 42, 16, 37, 10, 31)(4, 25, 8, 29, 14, 35, 19, 40, 20, 41, 15, 36, 9, 30)(43, 64, 45, 66, 51, 72, 47, 68, 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, 46, 67)
	L = (1, 46)(2, 50)(3, 43)(4, 49)(5, 51)(6, 56)(7, 44)(8, 55)(9, 45)(10, 47)(11, 57)(12, 61)(13, 48)(14, 60)(15, 52)(16, 53)(17, 62)(18, 54)(19, 63)(20, 58)(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) :: { ( 42^14 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.129
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.113 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 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 * Y3, Y1 * Y3^3, Y3^-3 * Y1^-1, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1^2 * Y3^-1 * Y1, Y3 * Y2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 13, 34, 19, 40, 17, 38, 5, 26)(3, 24, 9, 30, 20, 41, 15, 36, 7, 28, 12, 33, 14, 35)(4, 25, 10, 31, 21, 42, 18, 39, 6, 27, 11, 32, 16, 37)(43, 64, 45, 66, 46, 67, 55, 76, 57, 78, 60, 81, 47, 68, 56, 77, 58, 79, 50, 71, 62, 83, 63, 84, 59, 80, 54, 75, 53, 74, 44, 65, 51, 72, 52, 73, 61, 82, 49, 70, 48, 69)
	L = (1, 46)(2, 52)(3, 55)(4, 57)(5, 58)(6, 45)(7, 43)(8, 63)(9, 61)(10, 49)(11, 51)(12, 44)(13, 60)(14, 50)(15, 47)(16, 62)(17, 53)(18, 56)(19, 48)(20, 59)(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) :: { ( 42^14 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.127
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 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 * Y3^-1, (Y1, Y3^-1), Y1 * Y2 * Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y3^-1 * Y2^-1, Y1^2 * Y3 * Y2, (R * Y2)^2, Y3^3 * Y1^-1 * Y3 * Y2, Y3^-1 * Y2^-1 * Y1^5 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 18, 39, 21, 42, 13, 34, 5, 26)(3, 24, 9, 30, 7, 28, 12, 33, 19, 40, 15, 36, 14, 35)(4, 25, 10, 31, 6, 27, 11, 32, 17, 38, 20, 41, 16, 37)(43, 64, 45, 66, 46, 67, 55, 76, 57, 78, 62, 83, 60, 81, 54, 75, 53, 74, 44, 65, 51, 72, 52, 73, 47, 68, 56, 77, 58, 79, 63, 84, 61, 82, 59, 80, 50, 71, 49, 70, 48, 69)
	L = (1, 46)(2, 52)(3, 55)(4, 57)(5, 58)(6, 45)(7, 43)(8, 48)(9, 47)(10, 56)(11, 51)(12, 44)(13, 62)(14, 63)(15, 60)(16, 61)(17, 49)(18, 53)(19, 50)(20, 54)(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) :: { ( 42^14 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.123
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|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, Y1^7, Y3^9 * Y1, (Y3^-1 * Y1^-1)^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 14, 35, 17, 38, 11, 32, 5, 26)(3, 24, 9, 30, 15, 36, 20, 41, 19, 40, 13, 34, 7, 28)(4, 25, 10, 31, 16, 37, 21, 42, 18, 39, 12, 33, 6, 27)(43, 64, 45, 66, 46, 67, 44, 65, 51, 72, 52, 73, 50, 71, 57, 78, 58, 79, 56, 77, 62, 83, 63, 84, 59, 80, 61, 82, 60, 81, 53, 74, 55, 76, 54, 75, 47, 68, 49, 70, 48, 69)
	L = (1, 46)(2, 52)(3, 44)(4, 51)(5, 48)(6, 45)(7, 43)(8, 58)(9, 50)(10, 57)(11, 54)(12, 49)(13, 47)(14, 63)(15, 56)(16, 62)(17, 60)(18, 55)(19, 53)(20, 59)(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) :: { ( 42^14 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.128
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 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 * Y3, (Y3^-1, Y2), (R * Y3)^2, Y1^-1 * Y3 * Y2^-2, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, (R * Y2)^2, Y1 * Y2^-2 * Y3^-2, Y1^2 * Y3 * Y2 * Y1, Y3 * Y1^-1 * Y2^19, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 20, 41, 14, 35, 18, 39, 5, 26)(3, 24, 9, 30, 19, 40, 7, 28, 12, 33, 17, 38, 15, 36)(4, 25, 10, 31, 16, 37, 6, 27, 11, 32, 21, 42, 13, 34)(43, 64, 45, 66, 55, 76, 62, 83, 49, 70, 58, 79, 47, 68, 57, 78, 63, 84, 50, 71, 61, 82, 52, 73, 60, 81, 59, 80, 53, 74, 44, 65, 51, 72, 46, 67, 56, 77, 54, 75, 48, 69)
	L = (1, 46)(2, 52)(3, 56)(4, 59)(5, 55)(6, 51)(7, 43)(8, 58)(9, 60)(10, 57)(11, 61)(12, 44)(13, 54)(14, 53)(15, 62)(16, 45)(17, 50)(18, 63)(19, 47)(20, 48)(21, 49)(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 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.126
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y3^-1, Y1^-1 * Y3 * Y2, Y3^3 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-2 * Y3^-1 * Y2 * Y3^-1, Y2^2 * Y1^3 * Y2, Y3 * Y2^-5, Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 18, 39, 21, 42, 15, 36, 5, 26)(3, 24, 9, 30, 19, 40, 17, 38, 14, 35, 13, 34, 7, 28)(4, 25, 10, 31, 12, 33, 11, 32, 20, 41, 16, 37, 6, 27)(43, 64, 45, 66, 53, 74, 63, 84, 56, 77, 46, 67, 44, 65, 51, 72, 62, 83, 57, 78, 55, 76, 52, 73, 50, 71, 61, 82, 58, 79, 47, 68, 49, 70, 54, 75, 60, 81, 59, 80, 48, 69)
	L = (1, 46)(2, 52)(3, 44)(4, 55)(5, 48)(6, 56)(7, 43)(8, 54)(9, 50)(10, 49)(11, 51)(12, 45)(13, 47)(14, 57)(15, 58)(16, 59)(17, 63)(18, 53)(19, 60)(20, 61)(21, 62)(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 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.125
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 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, Y2 * Y1 * Y2, (Y2^-1, Y3), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3, Y1^-1), Y2 * Y3 * Y1^-3, Y1 * Y3 * Y2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 12, 33, 16, 37, 21, 42, 18, 39, 7, 28, 11, 32, 13, 34, 3, 24, 6, 27, 10, 31, 15, 36, 4, 25, 9, 30, 20, 41, 14, 35, 19, 40, 17, 38, 5, 26)(43, 64, 45, 66, 47, 68, 55, 76, 59, 80, 53, 74, 61, 82, 49, 70, 56, 77, 60, 81, 62, 83, 63, 84, 51, 72, 58, 79, 46, 67, 54, 75, 57, 78, 50, 71, 52, 73, 44, 65, 48, 69)
	L = (1, 46)(2, 51)(3, 54)(4, 49)(5, 57)(6, 58)(7, 43)(8, 62)(9, 53)(10, 63)(11, 44)(12, 56)(13, 50)(14, 45)(15, 60)(16, 61)(17, 52)(18, 47)(19, 48)(20, 55)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.107
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 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, Y2^-1 * Y1 * Y3 * Y1, Y1 * Y2^-1 * Y3 * Y1, (Y2, Y1^-1), Y1^-1 * Y2 * Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2 * Y1^-1 * Y2^3, Y2 * Y1 * Y2 * Y3 * Y2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^2, Y2 * Y3^-1 * Y1^19, Y1^-2 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 8, 29, 20, 41, 17, 38, 6, 27, 11, 32, 7, 28, 12, 33, 14, 35, 18, 39, 13, 34, 19, 40, 15, 36, 4, 25, 10, 31, 3, 24, 9, 30, 21, 42, 16, 37, 5, 26)(43, 64, 45, 66, 55, 76, 53, 74, 44, 65, 51, 72, 61, 82, 49, 70, 50, 71, 63, 84, 57, 78, 54, 75, 62, 83, 58, 79, 46, 67, 56, 77, 59, 80, 47, 68, 52, 73, 60, 81, 48, 69)
	L = (1, 46)(2, 52)(3, 56)(4, 49)(5, 57)(6, 58)(7, 43)(8, 45)(9, 60)(10, 54)(11, 47)(12, 44)(13, 59)(14, 50)(15, 53)(16, 61)(17, 63)(18, 62)(19, 48)(20, 51)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.109
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 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, (Y3^-1, Y1^-1), (Y2, Y3^-1), (Y2^-1, Y1), Y3^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y3)^2, Y3 * Y2^2 * Y1^-1, Y1 * Y3^-1 * Y2^-2, (Y2^-1 * R)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y1^-3, Y2^5 * Y1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 13, 34, 3, 24, 9, 30, 19, 40, 7, 28, 12, 33, 20, 41, 16, 37, 14, 35, 21, 42, 15, 36, 4, 25, 10, 31, 18, 39, 6, 27, 11, 32, 17, 38, 5, 26)(43, 64, 45, 66, 54, 75, 63, 84, 60, 81, 47, 68, 55, 76, 49, 70, 56, 77, 52, 73, 59, 80, 50, 71, 61, 82, 58, 79, 46, 67, 53, 74, 44, 65, 51, 72, 62, 83, 57, 78, 48, 69)
	L = (1, 46)(2, 52)(3, 53)(4, 49)(5, 57)(6, 58)(7, 43)(8, 60)(9, 59)(10, 54)(11, 56)(12, 44)(13, 48)(14, 45)(15, 61)(16, 55)(17, 63)(18, 62)(19, 47)(20, 50)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.106
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 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 * Y3^-1, Y3^3, Y1 * Y3^-1 * Y2, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^3 * Y2^-1 * Y1^2 * Y2^-1, Y1^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2, Y2^21, Y1^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 16, 37, 20, 41, 11, 32, 12, 33, 7, 28, 6, 27, 10, 31, 17, 38, 21, 42, 13, 34, 3, 24, 4, 25, 9, 30, 15, 36, 18, 39, 19, 40, 14, 35, 5, 26)(43, 64, 45, 66, 53, 74, 61, 82, 59, 80, 50, 71, 51, 72, 49, 70, 47, 68, 55, 76, 62, 83, 60, 81, 52, 73, 44, 65, 46, 67, 54, 75, 56, 77, 63, 84, 58, 79, 57, 78, 48, 69)
	L = (1, 46)(2, 51)(3, 54)(4, 49)(5, 45)(6, 44)(7, 43)(8, 57)(9, 48)(10, 50)(11, 56)(12, 47)(13, 53)(14, 55)(15, 52)(16, 60)(17, 58)(18, 59)(19, 63)(20, 61)(21, 62)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.105
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 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 * Y2 * Y1, (Y1^-1, Y3), (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2), (R * Y3)^2, Y2 * Y3^-1 * Y1^-1 * Y2^2, Y2 * Y3^-1 * Y2^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 6, 27, 9, 30, 18, 39, 14, 35, 17, 38, 7, 28, 10, 31, 19, 40, 20, 41, 21, 42, 12, 33, 15, 36, 4, 25, 8, 29, 16, 37, 11, 32, 13, 34, 3, 24, 5, 26)(43, 64, 45, 66, 53, 74, 50, 71, 57, 78, 63, 84, 61, 82, 49, 70, 56, 77, 51, 72, 44, 65, 47, 68, 55, 76, 58, 79, 46, 67, 54, 75, 62, 83, 52, 73, 59, 80, 60, 81, 48, 69)
	L = (1, 46)(2, 50)(3, 54)(4, 49)(5, 57)(6, 58)(7, 43)(8, 52)(9, 53)(10, 44)(11, 62)(12, 56)(13, 63)(14, 45)(15, 59)(16, 61)(17, 47)(18, 55)(19, 48)(20, 51)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.108
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.123 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1 * Y2^2, Y1 * Y3^-2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-10, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 6, 27, 10, 31, 14, 35, 18, 39, 20, 41, 16, 37, 12, 33, 8, 29, 3, 24, 4, 25, 7, 28, 11, 32, 15, 36, 19, 40, 21, 42, 17, 38, 13, 34, 9, 30, 5, 26)(43, 64, 45, 66, 47, 68, 50, 71, 51, 72, 54, 75, 55, 76, 58, 79, 59, 80, 62, 83, 63, 84, 60, 81, 61, 82, 56, 77, 57, 78, 52, 73, 53, 74, 48, 69, 49, 70, 44, 65, 46, 67)
	L = (1, 46)(2, 49)(3, 43)(4, 44)(5, 45)(6, 53)(7, 48)(8, 47)(9, 50)(10, 57)(11, 52)(12, 51)(13, 54)(14, 61)(15, 56)(16, 55)(17, 58)(18, 63)(19, 60)(20, 59)(21, 62)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.114
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y2^2 * Y3^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y1, Y2^-1), R * Y2 * R * Y3^-1, Y3 * Y1 * Y3^3, Y3 * Y1 * Y2^-3, Y1 * Y2 * Y1^-2 * Y2^-1 * Y1, Y3^-1 * Y1^5, (Y3 * Y2^-1)^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 6, 27, 14, 35, 12, 33, 4, 25, 8, 29, 16, 37, 20, 41, 19, 40, 11, 32, 9, 30, 17, 38, 21, 42, 18, 39, 10, 31, 3, 24, 7, 28, 15, 36, 13, 34, 5, 26)(43, 64, 45, 66, 51, 72, 50, 71, 44, 65, 49, 70, 59, 80, 58, 79, 48, 69, 57, 78, 63, 84, 62, 83, 56, 77, 55, 76, 60, 81, 61, 82, 54, 75, 47, 68, 52, 73, 53, 74, 46, 67)
	L = (1, 46)(2, 50)(3, 43)(4, 53)(5, 54)(6, 58)(7, 44)(8, 51)(9, 45)(10, 47)(11, 52)(12, 61)(13, 56)(14, 62)(15, 48)(16, 59)(17, 49)(18, 55)(19, 60)(20, 63)(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, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 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 E19.111
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 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 * Y2^-1, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y3^3 * Y1^-1, Y3^3 * Y1 * Y3 * Y1 * Y2^-1, Y2^7 * Y1^-7, Y2^21, Y3^26 * Y1^2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 6, 27, 14, 35, 20, 41, 9, 30, 17, 38, 12, 33, 4, 25, 8, 29, 16, 37, 21, 42, 10, 31, 3, 24, 7, 28, 15, 36, 11, 32, 18, 39, 19, 40, 13, 34, 5, 26)(43, 64, 45, 66, 51, 72, 61, 82, 58, 79, 48, 69, 57, 78, 54, 75, 47, 68, 52, 73, 62, 83, 60, 81, 50, 71, 44, 65, 49, 70, 59, 80, 55, 76, 63, 84, 56, 77, 53, 74, 46, 67)
	L = (1, 46)(2, 50)(3, 43)(4, 53)(5, 54)(6, 58)(7, 44)(8, 60)(9, 45)(10, 47)(11, 56)(12, 57)(13, 59)(14, 63)(15, 48)(16, 61)(17, 49)(18, 62)(19, 51)(20, 52)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.117
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^3 * Y1 * Y2^4, Y1 * Y2^-10, Y1 * Y3^4 * Y1 * Y3^4 * Y1 * Y3, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 4, 25, 6, 27, 9, 30, 10, 31, 13, 34, 14, 35, 17, 38, 18, 39, 21, 42, 19, 40, 20, 41, 15, 36, 16, 37, 11, 32, 12, 33, 7, 28, 8, 29, 3, 24, 5, 26)(43, 64, 45, 66, 49, 70, 53, 74, 57, 78, 61, 82, 60, 81, 56, 77, 52, 73, 48, 69, 44, 65, 47, 68, 50, 71, 54, 75, 58, 79, 62, 83, 63, 84, 59, 80, 55, 76, 51, 72, 46, 67)
	L = (1, 46)(2, 48)(3, 43)(4, 51)(5, 44)(6, 52)(7, 45)(8, 47)(9, 55)(10, 56)(11, 49)(12, 50)(13, 59)(14, 60)(15, 53)(16, 54)(17, 63)(18, 61)(19, 57)(20, 58)(21, 62)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.116
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 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 * Y3^-1, Y1 * Y3^-2, (Y1^-1, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^2, Y1^2 * Y2 * Y1^3, (Y3^-1 * Y1^-1)^7 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 16, 37, 14, 35, 6, 27, 11, 32, 19, 40, 21, 42, 15, 36, 7, 28, 4, 25, 10, 31, 18, 39, 20, 41, 12, 33, 3, 24, 9, 30, 17, 38, 13, 34, 5, 26)(43, 64, 45, 66, 46, 67, 53, 74, 44, 65, 51, 72, 52, 73, 61, 82, 50, 71, 59, 80, 60, 81, 63, 84, 58, 79, 55, 76, 62, 83, 57, 78, 56, 77, 47, 68, 54, 75, 49, 70, 48, 69)
	L = (1, 46)(2, 52)(3, 53)(4, 44)(5, 49)(6, 45)(7, 43)(8, 60)(9, 61)(10, 50)(11, 51)(12, 48)(13, 57)(14, 54)(15, 47)(16, 62)(17, 63)(18, 58)(19, 59)(20, 56)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.113
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, Y3 * Y1 * Y3 * Y2, (Y1, Y2^-1), Y1 * Y3^2 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 14, 35, 3, 24, 9, 30, 18, 39, 16, 37, 4, 25, 10, 31, 19, 40, 21, 42, 13, 34, 7, 28, 12, 33, 20, 41, 15, 36, 6, 27, 11, 32, 17, 38, 5, 26)(43, 64, 45, 66, 46, 67, 55, 76, 57, 78, 47, 68, 56, 77, 58, 79, 63, 84, 62, 83, 59, 80, 50, 71, 60, 81, 61, 82, 54, 75, 53, 74, 44, 65, 51, 72, 52, 73, 49, 70, 48, 69)
	L = (1, 46)(2, 52)(3, 55)(4, 57)(5, 58)(6, 45)(7, 43)(8, 61)(9, 49)(10, 48)(11, 51)(12, 44)(13, 47)(14, 63)(15, 56)(16, 62)(17, 60)(18, 54)(19, 53)(20, 50)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.115
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 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, (R * Y2)^2, (Y3, Y1^-1), (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y2^2, Y3 * Y2^4, Y3^-1 * Y1 * Y2^-1 * Y3^-2, Y1^-1 * Y3 * Y2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 6, 27, 9, 30, 19, 40, 21, 42, 12, 33, 16, 37, 4, 25, 8, 29, 17, 38, 14, 35, 18, 39, 7, 28, 10, 31, 20, 41, 15, 36, 11, 32, 13, 34, 3, 24, 5, 26)(43, 64, 45, 66, 53, 74, 62, 83, 49, 70, 56, 77, 50, 71, 58, 79, 63, 84, 51, 72, 44, 65, 47, 68, 55, 76, 57, 78, 52, 73, 60, 81, 59, 80, 46, 67, 54, 75, 61, 82, 48, 69)
	L = (1, 46)(2, 50)(3, 54)(4, 57)(5, 58)(6, 59)(7, 43)(8, 53)(9, 56)(10, 44)(11, 61)(12, 52)(13, 63)(14, 45)(15, 51)(16, 62)(17, 55)(18, 47)(19, 60)(20, 48)(21, 49)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.112
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 21, 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, (R * Y2)^2, (Y2, Y1^-1), (R * Y1)^2, (Y2, Y3), (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y3^2, Y2^2 * Y1 * Y3 * Y2, Y3^4 * Y2, (Y3^-1 * Y1^-1)^7, (Y2^-1 * Y3)^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 4, 25, 9, 30, 15, 36, 11, 32, 20, 41, 17, 38, 6, 27, 10, 31, 16, 37, 14, 35, 13, 34, 3, 24, 8, 29, 12, 33, 19, 40, 21, 42, 18, 39, 7, 28, 5, 26)(43, 64, 45, 66, 53, 74, 60, 81, 58, 79, 46, 67, 54, 75, 59, 80, 47, 68, 55, 76, 57, 78, 63, 84, 52, 73, 44, 65, 50, 71, 62, 83, 49, 70, 56, 77, 51, 72, 61, 82, 48, 69)
	L = (1, 46)(2, 51)(3, 54)(4, 57)(5, 44)(6, 58)(7, 43)(8, 61)(9, 53)(10, 56)(11, 59)(12, 63)(13, 50)(14, 45)(15, 62)(16, 55)(17, 52)(18, 47)(19, 60)(20, 48)(21, 49)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.110
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.131 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {8, 8, 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^-1, Y3^2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y1^8, Y2^8, (Y1^-1 * Y3^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 6, 30, 15, 39, 22, 46, 20, 44, 11, 35, 5, 29)(2, 26, 7, 31, 14, 38, 23, 47, 19, 43, 12, 36, 4, 28, 8, 32)(9, 33, 16, 40, 24, 48, 21, 45, 13, 37, 18, 42, 10, 34, 17, 41)(49, 50, 54, 62, 70, 67, 59, 52)(51, 57, 63, 72, 68, 61, 53, 58)(55, 64, 71, 69, 60, 66, 56, 65)(73, 74, 78, 86, 94, 91, 83, 76)(75, 81, 87, 96, 92, 85, 77, 82)(79, 88, 95, 93, 84, 90, 80, 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) :: { ( 32^8 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.138
Graph:: bipartite
	v = 9 e = 48 f = 3
	degree seq :: [ 8^6, 16^3 ]

E19.132 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {8, 8, 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^-1 * Y1, Y3^-2 * Y1^-2, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y3^8, Y3^-2 * Y1^6, Y2^8 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 10, 34, 19, 43, 22, 46, 15, 39, 6, 30, 5, 29)(2, 26, 7, 31, 4, 28, 12, 36, 20, 44, 23, 47, 14, 38, 8, 32)(9, 33, 17, 41, 11, 35, 21, 45, 24, 48, 18, 42, 13, 37, 16, 40)(49, 50, 54, 62, 70, 68, 58, 52)(51, 57, 53, 61, 63, 72, 67, 59)(55, 64, 56, 66, 71, 69, 60, 65)(73, 74, 78, 86, 94, 92, 82, 76)(75, 81, 77, 85, 87, 96, 91, 83)(79, 88, 80, 90, 95, 93, 84, 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) :: { ( 32^8 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.136
Graph:: bipartite
	v = 9 e = 48 f = 3
	degree seq :: [ 8^6, 16^3 ]

E19.133 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {8, 8, 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, Y1^-1 * Y2, Y3^-1 * Y2^-2 * Y3^-1, Y3^2 * Y1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3, (Y1^-1 * Y2^-1)^4, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 10, 34, 20, 44, 22, 46, 15, 39, 6, 30, 5, 29)(2, 26, 7, 31, 4, 28, 12, 36, 21, 45, 23, 47, 14, 38, 8, 32)(9, 33, 18, 42, 11, 35, 16, 40, 24, 48, 17, 41, 13, 37, 19, 43)(49, 50, 54, 62, 70, 69, 58, 52)(51, 57, 53, 61, 63, 72, 68, 59)(55, 64, 56, 66, 71, 67, 60, 65)(73, 74, 78, 86, 94, 93, 82, 76)(75, 81, 77, 85, 87, 96, 92, 83)(79, 88, 80, 90, 95, 91, 84, 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) :: { ( 32^8 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.137
Graph:: bipartite
	v = 9 e = 48 f = 3
	degree seq :: [ 8^6, 16^3 ]

E19.134 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {8, 8, 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^-1 * Y1, Y3^2 * Y1^-2, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^8, Y2^8, (Y1^-1 * Y3^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 6, 30, 15, 39, 22, 46, 21, 45, 11, 35, 5, 29)(2, 26, 7, 31, 14, 38, 23, 47, 20, 44, 12, 36, 4, 28, 8, 32)(9, 33, 18, 42, 24, 48, 17, 41, 13, 37, 16, 40, 10, 34, 19, 43)(49, 50, 54, 62, 70, 68, 59, 52)(51, 57, 63, 72, 69, 61, 53, 58)(55, 64, 71, 67, 60, 66, 56, 65)(73, 74, 78, 86, 94, 92, 83, 76)(75, 81, 87, 96, 93, 85, 77, 82)(79, 88, 95, 91, 84, 90, 80, 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) :: { ( 32^8 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.135
Graph:: bipartite
	v = 9 e = 48 f = 3
	degree seq :: [ 8^6, 16^3 ]

E19.135 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {8, 8, 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^-1, Y3^2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y1^8, Y2^8, (Y1^-1 * Y3^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 6, 30, 54, 78, 15, 39, 63, 87, 22, 46, 70, 94, 20, 44, 68, 92, 11, 35, 59, 83, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 14, 38, 62, 86, 23, 47, 71, 95, 19, 43, 67, 91, 12, 36, 60, 84, 4, 28, 52, 76, 8, 32, 56, 80)(9, 33, 57, 81, 16, 40, 64, 88, 24, 48, 72, 96, 21, 45, 69, 93, 13, 37, 61, 85, 18, 42, 66, 90, 10, 34, 58, 82, 17, 41, 65, 89)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 34)(6, 38)(7, 40)(8, 41)(9, 39)(10, 27)(11, 28)(12, 42)(13, 29)(14, 46)(15, 48)(16, 47)(17, 31)(18, 32)(19, 35)(20, 37)(21, 36)(22, 43)(23, 45)(24, 44)(49, 74)(50, 78)(51, 81)(52, 73)(53, 82)(54, 86)(55, 88)(56, 89)(57, 87)(58, 75)(59, 76)(60, 90)(61, 77)(62, 94)(63, 96)(64, 95)(65, 79)(66, 80)(67, 83)(68, 85)(69, 84)(70, 91)(71, 93)(72, 92)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.134
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 9
	degree seq :: [ 32^3 ]

E19.136 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {8, 8, 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^-1 * Y1, Y3^-2 * Y1^-2, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y3^8, Y3^-2 * Y1^6, Y2^8 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 10, 34, 58, 82, 19, 43, 67, 91, 22, 46, 70, 94, 15, 39, 63, 87, 6, 30, 54, 78, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 4, 28, 52, 76, 12, 36, 60, 84, 20, 44, 68, 92, 23, 47, 71, 95, 14, 38, 62, 86, 8, 32, 56, 80)(9, 33, 57, 81, 17, 41, 65, 89, 11, 35, 59, 83, 21, 45, 69, 93, 24, 48, 72, 96, 18, 42, 66, 90, 13, 37, 61, 85, 16, 40, 64, 88)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 37)(6, 38)(7, 40)(8, 42)(9, 29)(10, 28)(11, 27)(12, 41)(13, 39)(14, 46)(15, 48)(16, 32)(17, 31)(18, 47)(19, 35)(20, 34)(21, 36)(22, 44)(23, 45)(24, 43)(49, 74)(50, 78)(51, 81)(52, 73)(53, 85)(54, 86)(55, 88)(56, 90)(57, 77)(58, 76)(59, 75)(60, 89)(61, 87)(62, 94)(63, 96)(64, 80)(65, 79)(66, 95)(67, 83)(68, 82)(69, 84)(70, 92)(71, 93)(72, 91)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.132
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 9
	degree seq :: [ 32^3 ]

E19.137 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {8, 8, 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, Y1^-1 * Y2, Y3^-1 * Y2^-2 * Y3^-1, Y3^2 * Y1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3, (Y1^-1 * Y2^-1)^4, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 10, 34, 58, 82, 20, 44, 68, 92, 22, 46, 70, 94, 15, 39, 63, 87, 6, 30, 54, 78, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 4, 28, 52, 76, 12, 36, 60, 84, 21, 45, 69, 93, 23, 47, 71, 95, 14, 38, 62, 86, 8, 32, 56, 80)(9, 33, 57, 81, 18, 42, 66, 90, 11, 35, 59, 83, 16, 40, 64, 88, 24, 48, 72, 96, 17, 41, 65, 89, 13, 37, 61, 85, 19, 43, 67, 91)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 37)(6, 38)(7, 40)(8, 42)(9, 29)(10, 28)(11, 27)(12, 41)(13, 39)(14, 46)(15, 48)(16, 32)(17, 31)(18, 47)(19, 36)(20, 35)(21, 34)(22, 45)(23, 43)(24, 44)(49, 74)(50, 78)(51, 81)(52, 73)(53, 85)(54, 86)(55, 88)(56, 90)(57, 77)(58, 76)(59, 75)(60, 89)(61, 87)(62, 94)(63, 96)(64, 80)(65, 79)(66, 95)(67, 84)(68, 83)(69, 82)(70, 93)(71, 91)(72, 92)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.133
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 9
	degree seq :: [ 32^3 ]

E19.138 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {8, 8, 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^-1 * Y1, Y3^2 * Y1^-2, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^8, Y2^8, (Y1^-1 * Y3^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 6, 30, 54, 78, 15, 39, 63, 87, 22, 46, 70, 94, 21, 45, 69, 93, 11, 35, 59, 83, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 14, 38, 62, 86, 23, 47, 71, 95, 20, 44, 68, 92, 12, 36, 60, 84, 4, 28, 52, 76, 8, 32, 56, 80)(9, 33, 57, 81, 18, 42, 66, 90, 24, 48, 72, 96, 17, 41, 65, 89, 13, 37, 61, 85, 16, 40, 64, 88, 10, 34, 58, 82, 19, 43, 67, 91)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 34)(6, 38)(7, 40)(8, 41)(9, 39)(10, 27)(11, 28)(12, 42)(13, 29)(14, 46)(15, 48)(16, 47)(17, 31)(18, 32)(19, 36)(20, 35)(21, 37)(22, 44)(23, 43)(24, 45)(49, 74)(50, 78)(51, 81)(52, 73)(53, 82)(54, 86)(55, 88)(56, 89)(57, 87)(58, 75)(59, 76)(60, 90)(61, 77)(62, 94)(63, 96)(64, 95)(65, 79)(66, 80)(67, 84)(68, 83)(69, 85)(70, 92)(71, 91)(72, 93)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.131
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 9
	degree seq :: [ 32^3 ]

E19.139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 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 * Y2^2, Y1^2 * Y3, Y3^4, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 14, 38, 15, 39, 4, 28, 5, 29)(3, 27, 11, 35, 13, 37, 23, 47, 16, 40, 18, 42, 6, 30, 12, 36)(8, 32, 19, 43, 21, 45, 24, 48, 17, 41, 22, 46, 9, 33, 20, 44)(49, 73, 51, 75, 55, 79, 61, 85, 62, 86, 64, 88, 52, 76, 54, 78)(50, 74, 56, 80, 58, 82, 69, 93, 63, 87, 65, 89, 53, 77, 57, 81)(59, 83, 67, 91, 71, 95, 72, 96, 66, 90, 70, 94, 60, 84, 68, 92)
	L = (1, 52)(2, 53)(3, 54)(4, 62)(5, 63)(6, 64)(7, 49)(8, 57)(9, 65)(10, 50)(11, 60)(12, 66)(13, 51)(14, 55)(15, 58)(16, 61)(17, 69)(18, 71)(19, 68)(20, 70)(21, 56)(22, 72)(23, 59)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E19.140
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 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 * Y2^2, Y1^2 * Y3, (R * Y1)^2, Y3^4, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 14, 38, 15, 39, 4, 28, 5, 29)(3, 27, 11, 35, 13, 37, 24, 48, 16, 40, 18, 42, 6, 30, 12, 36)(8, 32, 19, 43, 21, 45, 23, 47, 17, 41, 22, 46, 9, 33, 20, 44)(49, 73, 51, 75, 55, 79, 61, 85, 62, 86, 64, 88, 52, 76, 54, 78)(50, 74, 56, 80, 58, 82, 69, 93, 63, 87, 65, 89, 53, 77, 57, 81)(59, 83, 70, 94, 72, 96, 68, 92, 66, 90, 67, 91, 60, 84, 71, 95)
	L = (1, 52)(2, 53)(3, 54)(4, 62)(5, 63)(6, 64)(7, 49)(8, 57)(9, 65)(10, 50)(11, 60)(12, 66)(13, 51)(14, 55)(15, 58)(16, 61)(17, 69)(18, 72)(19, 68)(20, 70)(21, 56)(22, 71)(23, 67)(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) :: { ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E19.139
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.141 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 8, 8, 12})
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, Y1^-1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y3^2 * Y2 * Y1 * Y3, Y3 * Y1 * Y3^-2 * Y1, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-2, (Y3^-1 * Y1 * Y3^-1 * Y2^-1)^2, Y3 * Y2^-1 * Y3 * Y1^5, Y2^8, (Y1^-1 * Y3^-1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 10, 34, 13, 37, 21, 45, 20, 44, 24, 48, 22, 46, 19, 43, 6, 30, 17, 41, 5, 29)(2, 26, 7, 31, 14, 38, 4, 28, 12, 36, 9, 33, 23, 47, 15, 39, 11, 35, 18, 42, 16, 40, 8, 32)(49, 50, 54, 66, 72, 71, 61, 52)(51, 57, 65, 62, 70, 56, 69, 59)(53, 63, 67, 60, 68, 55, 58, 64)(73, 74, 78, 90, 96, 95, 85, 76)(75, 81, 89, 86, 94, 80, 93, 83)(77, 87, 91, 84, 92, 79, 82, 88)
	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 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E19.147
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 8^6, 24^2 ]

E19.142 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 8, 8, 12})
Quotient :: edge^2
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x Q8) : C2 (small group id <48, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-2, (Y2^-1, Y1), Y2^-1 * Y1^-3, Y1^-1 * Y3^-1 * Y2 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y1^-1 * Y3, Y3 * Y1 * Y3^-2 * Y2, Y3 * Y2 * Y1 * Y3^2, Y2^8, (Y3 * Y2^-2)^6 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 15, 39, 8, 32, 21, 45, 23, 47, 11, 35, 24, 48, 22, 46, 9, 33, 20, 44, 7, 31)(2, 26, 10, 34, 16, 40, 6, 30, 19, 43, 14, 38, 3, 27, 13, 37, 17, 41, 5, 29, 18, 42, 12, 36)(49, 50, 56, 54, 59, 51, 57, 53)(52, 62, 69, 65, 72, 60, 68, 64)(55, 61, 63, 66, 71, 58, 70, 67)(73, 75, 80, 77, 83, 74, 81, 78)(76, 84, 93, 88, 96, 86, 92, 89)(79, 82, 87, 91, 95, 85, 94, 90)
	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 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E19.148
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 8^6, 24^2 ]

E19.143 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 8, 8, 12})
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, Y1 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y3^6, Y3^-1 * Y2 * Y3^2 * Y1^3, Y1^3 * Y3 * Y1 * Y3^-2, Y2^8, Y3 * Y2^-2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 19, 43, 13, 37, 5, 29)(2, 26, 7, 31, 17, 41, 24, 48, 18, 42, 8, 32)(4, 28, 11, 35, 22, 46, 14, 38, 20, 44, 10, 34)(6, 30, 15, 39, 23, 47, 12, 36, 21, 45, 16, 40)(49, 50, 54, 62, 67, 72, 60, 52)(51, 56, 63, 70, 61, 65, 69, 58)(53, 55, 64, 68, 57, 66, 71, 59)(73, 74, 78, 86, 91, 96, 84, 76)(75, 80, 87, 94, 85, 89, 93, 82)(77, 79, 88, 92, 81, 90, 95, 83)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^8 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E19.145
Graph:: bipartite
	v = 10 e = 48 f = 2
	degree seq :: [ 8^6, 12^4 ]

E19.144 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 8, 8, 12})
Quotient :: edge^2
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x Q8) : C2 (small group id <48, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, R * Y2 * R * Y1, Y3 * Y2^-1 * Y3 * Y2, (Y2, Y1^-1), Y2^-1 * Y1^-3, Y1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, Y3^-1 * Y1 * Y2^-1 * Y3^-2, Y3 * Y1^-1 * Y3^-2 * Y2, Y2^8 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 15, 39, 11, 35, 20, 44, 7, 31)(2, 26, 10, 34, 14, 38, 3, 27, 13, 37, 12, 36)(5, 29, 18, 42, 17, 41, 6, 30, 19, 43, 16, 40)(8, 32, 21, 45, 24, 48, 9, 33, 23, 47, 22, 46)(49, 50, 56, 54, 59, 51, 57, 53)(52, 60, 69, 65, 68, 62, 71, 64)(55, 58, 70, 67, 63, 61, 72, 66)(73, 75, 80, 77, 83, 74, 81, 78)(76, 86, 93, 88, 92, 84, 95, 89)(79, 85, 94, 90, 87, 82, 96, 91)
	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) :: { ( 48^8 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E19.146
Graph:: bipartite
	v = 10 e = 48 f = 2
	degree seq :: [ 8^6, 12^4 ]

E19.145 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 8, 8, 12})
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, Y1^-1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y3^2 * Y2 * Y1 * Y3, Y3 * Y1 * Y3^-2 * Y1, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-2, (Y3^-1 * Y1 * Y3^-1 * Y2^-1)^2, Y3 * Y2^-1 * Y3 * Y1^5, Y2^8, (Y1^-1 * Y3^-1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 10, 34, 58, 82, 13, 37, 61, 85, 21, 45, 69, 93, 20, 44, 68, 92, 24, 48, 72, 96, 22, 46, 70, 94, 19, 43, 67, 91, 6, 30, 54, 78, 17, 41, 65, 89, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 14, 38, 62, 86, 4, 28, 52, 76, 12, 36, 60, 84, 9, 33, 57, 81, 23, 47, 71, 95, 15, 39, 63, 87, 11, 35, 59, 83, 18, 42, 66, 90, 16, 40, 64, 88, 8, 32, 56, 80)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 39)(6, 42)(7, 34)(8, 45)(9, 41)(10, 40)(11, 27)(12, 44)(13, 28)(14, 46)(15, 43)(16, 29)(17, 38)(18, 48)(19, 36)(20, 31)(21, 35)(22, 32)(23, 37)(24, 47)(49, 74)(50, 78)(51, 81)(52, 73)(53, 87)(54, 90)(55, 82)(56, 93)(57, 89)(58, 88)(59, 75)(60, 92)(61, 76)(62, 94)(63, 91)(64, 77)(65, 86)(66, 96)(67, 84)(68, 79)(69, 83)(70, 80)(71, 85)(72, 95)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.143
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 10
	degree seq :: [ 48^2 ]

E19.146 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 8, 8, 12})
Quotient :: loop^2
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x Q8) : C2 (small group id <48, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-2, (Y2^-1, Y1), Y2^-1 * Y1^-3, Y1^-1 * Y3^-1 * Y2 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y1^-1 * Y3, Y3 * Y1 * Y3^-2 * Y2, Y3 * Y2 * Y1 * Y3^2, Y2^8, (Y3 * Y2^-2)^6 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 15, 39, 63, 87, 8, 32, 56, 80, 21, 45, 69, 93, 23, 47, 71, 95, 11, 35, 59, 83, 24, 48, 72, 96, 22, 46, 70, 94, 9, 33, 57, 81, 20, 44, 68, 92, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 16, 40, 64, 88, 6, 30, 54, 78, 19, 43, 67, 91, 14, 38, 62, 86, 3, 27, 51, 75, 13, 37, 61, 85, 17, 41, 65, 89, 5, 29, 53, 77, 18, 42, 66, 90, 12, 36, 60, 84)
	L = (1, 26)(2, 32)(3, 33)(4, 38)(5, 25)(6, 35)(7, 37)(8, 30)(9, 29)(10, 46)(11, 27)(12, 44)(13, 39)(14, 45)(15, 42)(16, 28)(17, 48)(18, 47)(19, 31)(20, 40)(21, 41)(22, 43)(23, 34)(24, 36)(49, 75)(50, 81)(51, 80)(52, 84)(53, 83)(54, 73)(55, 82)(56, 77)(57, 78)(58, 87)(59, 74)(60, 93)(61, 94)(62, 92)(63, 91)(64, 96)(65, 76)(66, 79)(67, 95)(68, 89)(69, 88)(70, 90)(71, 85)(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, 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 E19.144
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 10
	degree seq :: [ 48^2 ]

E19.147 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 8, 8, 12})
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, Y1 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y3^6, Y3^-1 * Y2 * Y3^2 * Y1^3, Y1^3 * Y3 * Y1 * Y3^-2, Y2^8, Y3 * Y2^-2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 9, 33, 57, 81, 19, 43, 67, 91, 13, 37, 61, 85, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 17, 41, 65, 89, 24, 48, 72, 96, 18, 42, 66, 90, 8, 32, 56, 80)(4, 28, 52, 76, 11, 35, 59, 83, 22, 46, 70, 94, 14, 38, 62, 86, 20, 44, 68, 92, 10, 34, 58, 82)(6, 30, 54, 78, 15, 39, 63, 87, 23, 47, 71, 95, 12, 36, 60, 84, 21, 45, 69, 93, 16, 40, 64, 88)
	L = (1, 26)(2, 30)(3, 32)(4, 25)(5, 31)(6, 38)(7, 40)(8, 39)(9, 42)(10, 27)(11, 29)(12, 28)(13, 41)(14, 43)(15, 46)(16, 44)(17, 45)(18, 47)(19, 48)(20, 33)(21, 34)(22, 37)(23, 35)(24, 36)(49, 74)(50, 78)(51, 80)(52, 73)(53, 79)(54, 86)(55, 88)(56, 87)(57, 90)(58, 75)(59, 77)(60, 76)(61, 89)(62, 91)(63, 94)(64, 92)(65, 93)(66, 95)(67, 96)(68, 81)(69, 82)(70, 85)(71, 83)(72, 84)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.141
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.148 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 8, 8, 12})
Quotient :: loop^2
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x Q8) : C2 (small group id <48, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, R * Y2 * R * Y1, Y3 * Y2^-1 * Y3 * Y2, (Y2, Y1^-1), Y2^-1 * Y1^-3, Y1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, Y3^-1 * Y1 * Y2^-1 * Y3^-2, Y3 * Y1^-1 * Y3^-2 * Y2, Y2^8 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 15, 39, 63, 87, 11, 35, 59, 83, 20, 44, 68, 92, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 14, 38, 62, 86, 3, 27, 51, 75, 13, 37, 61, 85, 12, 36, 60, 84)(5, 29, 53, 77, 18, 42, 66, 90, 17, 41, 65, 89, 6, 30, 54, 78, 19, 43, 67, 91, 16, 40, 64, 88)(8, 32, 56, 80, 21, 45, 69, 93, 24, 48, 72, 96, 9, 33, 57, 81, 23, 47, 71, 95, 22, 46, 70, 94)
	L = (1, 26)(2, 32)(3, 33)(4, 36)(5, 25)(6, 35)(7, 34)(8, 30)(9, 29)(10, 46)(11, 27)(12, 45)(13, 48)(14, 47)(15, 37)(16, 28)(17, 44)(18, 31)(19, 39)(20, 38)(21, 41)(22, 43)(23, 40)(24, 42)(49, 75)(50, 81)(51, 80)(52, 86)(53, 83)(54, 73)(55, 85)(56, 77)(57, 78)(58, 96)(59, 74)(60, 95)(61, 94)(62, 93)(63, 82)(64, 92)(65, 76)(66, 87)(67, 79)(68, 84)(69, 88)(70, 90)(71, 89)(72, 91)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.142
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.149 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 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 * Y3^-1, (R * Y2)^2, (Y3^-1, Y1), Y3^4, Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y3^-2, Y3^2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 15, 39, 18, 42, 5, 29)(3, 27, 13, 37, 24, 48, 17, 41, 21, 45, 9, 33)(4, 28, 10, 34, 20, 44, 7, 31, 12, 36, 16, 40)(6, 30, 19, 43, 23, 47, 14, 38, 22, 46, 11, 35)(49, 73, 51, 75, 55, 79, 62, 86, 63, 87, 65, 89, 52, 76, 54, 78)(50, 74, 57, 81, 60, 84, 71, 95, 66, 90, 72, 96, 58, 82, 59, 83)(53, 77, 61, 85, 68, 92, 70, 94, 56, 80, 69, 93, 64, 88, 67, 91)
	L = (1, 52)(2, 58)(3, 54)(4, 63)(5, 64)(6, 65)(7, 49)(8, 68)(9, 59)(10, 66)(11, 72)(12, 50)(13, 67)(14, 51)(15, 55)(16, 56)(17, 62)(18, 60)(19, 69)(20, 53)(21, 70)(22, 61)(23, 57)(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, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.153
Graph:: bipartite
	v = 7 e = 48 f = 5
	degree seq :: [ 12^4, 16^3 ]

E19.150 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 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^-1 * Y2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y2^-1, Y3^4, (R * Y2)^2, (Y3^-1, Y1^-1), Y3^2 * Y1^3, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 15, 39, 17, 41, 5, 29)(3, 27, 13, 37, 24, 48, 20, 44, 21, 45, 9, 33)(4, 28, 10, 34, 19, 43, 7, 31, 12, 36, 16, 40)(6, 30, 18, 42, 23, 47, 14, 38, 22, 46, 11, 35)(49, 73, 51, 75, 52, 76, 62, 86, 63, 87, 68, 92, 55, 79, 54, 78)(50, 74, 57, 81, 58, 82, 71, 95, 65, 89, 72, 96, 60, 84, 59, 83)(53, 77, 61, 85, 64, 88, 70, 94, 56, 80, 69, 93, 67, 91, 66, 90)
	L = (1, 52)(2, 58)(3, 62)(4, 63)(5, 64)(6, 51)(7, 49)(8, 67)(9, 71)(10, 65)(11, 57)(12, 50)(13, 70)(14, 68)(15, 55)(16, 56)(17, 60)(18, 61)(19, 53)(20, 54)(21, 66)(22, 69)(23, 72)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.154
Graph:: bipartite
	v = 7 e = 48 f = 5
	degree seq :: [ 12^4, 16^3 ]

E19.151 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 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 * Y1 * Y3, Y1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y3^-1 * Y2^-1, Y1^6, (Y3 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 20, 44, 16, 40, 5, 29)(3, 27, 12, 36, 18, 42, 23, 47, 19, 43, 9, 33)(4, 28, 7, 31, 11, 35, 21, 45, 24, 48, 13, 37)(6, 30, 17, 41, 15, 39, 22, 46, 14, 38, 10, 34)(49, 73, 51, 75, 61, 85, 70, 94, 68, 92, 71, 95, 59, 83, 54, 78)(50, 74, 57, 81, 52, 76, 63, 87, 64, 88, 66, 90, 69, 93, 58, 82)(53, 77, 60, 84, 72, 96, 62, 86, 56, 80, 67, 91, 55, 79, 65, 89)
	L = (1, 52)(2, 55)(3, 62)(4, 53)(5, 61)(6, 60)(7, 49)(8, 59)(9, 70)(10, 51)(11, 50)(12, 58)(13, 64)(14, 57)(15, 71)(16, 72)(17, 66)(18, 54)(19, 63)(20, 69)(21, 56)(22, 67)(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) :: { ( 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 E19.155
Graph:: bipartite
	v = 7 e = 48 f = 5
	degree seq :: [ 12^4, 16^3 ]

E19.152 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 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 * Y1, Y1 * Y2^-1 * Y1 * Y2, Y2^2 * Y3 * Y1^-1, Y1 * Y2^-2 * Y3^-1, (R * Y1)^2, Y1 * Y2 * Y3 * Y2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y3^-1 * Y1 * Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 20, 44, 17, 41, 5, 29)(3, 27, 12, 36, 16, 40, 22, 46, 18, 42, 9, 33)(4, 28, 7, 31, 11, 35, 21, 45, 24, 48, 15, 39)(6, 30, 13, 37, 14, 38, 23, 47, 19, 43, 10, 34)(49, 73, 51, 75, 59, 83, 71, 95, 68, 92, 70, 94, 63, 87, 54, 78)(50, 74, 57, 81, 69, 93, 62, 86, 65, 89, 64, 88, 52, 76, 58, 82)(53, 77, 60, 84, 55, 79, 67, 91, 56, 80, 66, 90, 72, 96, 61, 85)
	L = (1, 52)(2, 55)(3, 61)(4, 53)(5, 63)(6, 66)(7, 49)(8, 59)(9, 54)(10, 70)(11, 50)(12, 62)(13, 57)(14, 51)(15, 65)(16, 71)(17, 72)(18, 58)(19, 64)(20, 69)(21, 56)(22, 67)(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) :: { ( 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 E19.156
Graph:: bipartite
	v = 7 e = 48 f = 5
	degree seq :: [ 12^4, 16^3 ]

E19.153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 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, Y1^2 * Y3^-1, Y2^-3 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^4, Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, Y2^2 * Y1 * Y2^-1 * Y1, Y1 * Y2 * Y1 * Y3 * Y2, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 9, 33, 16, 40, 19, 43, 7, 31, 5, 29)(3, 27, 11, 35, 13, 37, 18, 42, 24, 48, 10, 34, 15, 39, 14, 38)(6, 30, 20, 44, 12, 36, 17, 41, 23, 47, 8, 32, 22, 46, 21, 45)(49, 73, 51, 75, 60, 84, 52, 76, 61, 85, 71, 95, 64, 88, 72, 96, 70, 94, 55, 79, 63, 87, 54, 78)(50, 74, 56, 80, 62, 86, 57, 81, 69, 93, 59, 83, 67, 91, 68, 92, 66, 90, 53, 77, 65, 89, 58, 82)
	L = (1, 52)(2, 57)(3, 61)(4, 64)(5, 50)(6, 60)(7, 49)(8, 69)(9, 67)(10, 62)(11, 66)(12, 71)(13, 72)(14, 59)(15, 51)(16, 55)(17, 56)(18, 58)(19, 53)(20, 65)(21, 68)(22, 54)(23, 70)(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) :: { ( 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 E19.149
Graph:: bipartite
	v = 5 e = 48 f = 7
	degree seq :: [ 16^3, 24^2 ]

E19.154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 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, Y1^2 * Y3, Y2^3 * Y3^-1, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 16, 40, 17, 41, 4, 28, 5, 29)(3, 27, 11, 35, 15, 39, 19, 43, 24, 48, 9, 33, 13, 37, 14, 38)(6, 30, 20, 44, 22, 46, 18, 42, 23, 47, 8, 32, 12, 36, 21, 45)(49, 73, 51, 75, 60, 84, 52, 76, 61, 85, 71, 95, 64, 88, 72, 96, 70, 94, 55, 79, 63, 87, 54, 78)(50, 74, 56, 80, 67, 91, 53, 77, 66, 90, 59, 83, 65, 89, 68, 92, 62, 86, 58, 82, 69, 93, 57, 81)
	L = (1, 52)(2, 53)(3, 61)(4, 64)(5, 65)(6, 60)(7, 49)(8, 66)(9, 67)(10, 50)(11, 62)(12, 71)(13, 72)(14, 57)(15, 51)(16, 55)(17, 58)(18, 68)(19, 59)(20, 69)(21, 56)(22, 54)(23, 70)(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) :: { ( 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 E19.150
Graph:: bipartite
	v = 5 e = 48 f = 7
	degree seq :: [ 16^3, 24^2 ]

E19.155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 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 * Y2, (R * Y1)^2, R * Y2 * R * Y3^-1, Y1 * Y3 * Y1 * Y3^-2, Y2 * Y1 * Y2^-1 * Y1 * Y3^-1, Y2^2 * Y1^-2 * Y3^-1, Y1^2 * Y3 * Y2^-2, Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3^12, Y2^12, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 18, 42, 24, 48, 23, 47, 17, 41, 5, 29)(3, 27, 9, 33, 19, 43, 16, 40, 22, 46, 8, 32, 13, 37, 11, 35)(4, 28, 12, 36, 10, 34, 15, 39, 21, 45, 7, 31, 20, 44, 14, 38)(49, 73, 51, 75, 58, 82, 54, 78, 67, 91, 69, 93, 72, 96, 70, 94, 68, 92, 65, 89, 61, 85, 52, 76)(50, 74, 55, 79, 59, 83, 66, 90, 62, 86, 57, 81, 71, 95, 60, 84, 64, 88, 53, 77, 63, 87, 56, 80)
	L = (1, 52)(2, 56)(3, 49)(4, 61)(5, 64)(6, 58)(7, 50)(8, 63)(9, 62)(10, 51)(11, 55)(12, 71)(13, 65)(14, 66)(15, 53)(16, 60)(17, 68)(18, 59)(19, 54)(20, 70)(21, 67)(22, 72)(23, 57)(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, 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 E19.151
Graph:: bipartite
	v = 5 e = 48 f = 7
	degree seq :: [ 16^3, 24^2 ]

E19.156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 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, R * Y2 * R * Y3^-1, (R * Y1)^2, Y1 * Y3 * Y2^-1 * Y1 * Y3^-1, Y1^2 * Y2 * Y3^-2, Y2^2 * Y1^2 * Y3^-1, Y2 * Y1 * Y2^-2 * Y1, Y2 * Y1^-3 * Y3^-1 * Y1^-1, Y1^8, (Y3 * Y2^-1)^6, Y2^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 18, 42, 24, 48, 23, 47, 17, 41, 5, 29)(3, 27, 9, 33, 13, 37, 16, 40, 22, 46, 8, 32, 21, 45, 11, 35)(4, 28, 12, 36, 19, 43, 15, 39, 20, 44, 7, 31, 10, 34, 14, 38)(49, 73, 51, 75, 58, 82, 65, 89, 69, 93, 68, 92, 72, 96, 70, 94, 67, 91, 54, 78, 61, 85, 52, 76)(50, 74, 55, 79, 64, 88, 53, 77, 63, 87, 57, 81, 71, 95, 60, 84, 59, 83, 66, 90, 62, 86, 56, 80)
	L = (1, 52)(2, 56)(3, 49)(4, 61)(5, 64)(6, 67)(7, 50)(8, 62)(9, 63)(10, 51)(11, 60)(12, 71)(13, 54)(14, 66)(15, 53)(16, 55)(17, 58)(18, 59)(19, 70)(20, 69)(21, 65)(22, 72)(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) :: { ( 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 E19.152
Graph:: bipartite
	v = 5 e = 48 f = 7
	degree seq :: [ 16^3, 24^2 ]

E19.157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 8, 12})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^2, (Y1, Y3^-1), (R * Y3)^2, Y3^4, (Y1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y1^-3 * Y3^2, Y2 * Y1^-1 * Y3 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 15, 39, 17, 41, 5, 29)(3, 27, 9, 33, 21, 45, 20, 44, 24, 48, 14, 38)(4, 28, 10, 34, 19, 43, 7, 31, 12, 36, 16, 40)(6, 30, 11, 35, 22, 46, 13, 37, 23, 47, 18, 42)(49, 73, 51, 75, 52, 76, 61, 85, 63, 87, 68, 92, 55, 79, 54, 78)(50, 74, 57, 81, 58, 82, 71, 95, 65, 89, 72, 96, 60, 84, 59, 83)(53, 77, 62, 86, 64, 88, 70, 94, 56, 80, 69, 93, 67, 91, 66, 90)
	L = (1, 52)(2, 58)(3, 61)(4, 63)(5, 64)(6, 51)(7, 49)(8, 67)(9, 71)(10, 65)(11, 57)(12, 50)(13, 68)(14, 70)(15, 55)(16, 56)(17, 60)(18, 62)(19, 53)(20, 54)(21, 66)(22, 69)(23, 72)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.159
Graph:: bipartite
	v = 7 e = 48 f = 5
	degree seq :: [ 12^4, 16^3 ]

E19.158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 8, 12})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, (Y3^-1, Y1), (Y2^-1, Y1), Y3^4, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1^-3, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 15, 39, 18, 42, 5, 29)(3, 27, 9, 33, 21, 45, 17, 41, 24, 48, 13, 37)(4, 28, 10, 34, 20, 44, 7, 31, 12, 36, 16, 40)(6, 30, 11, 35, 22, 46, 14, 38, 23, 47, 19, 43)(49, 73, 51, 75, 55, 79, 62, 86, 63, 87, 65, 89, 52, 76, 54, 78)(50, 74, 57, 81, 60, 84, 71, 95, 66, 90, 72, 96, 58, 82, 59, 83)(53, 77, 61, 85, 68, 92, 70, 94, 56, 80, 69, 93, 64, 88, 67, 91)
	L = (1, 52)(2, 58)(3, 54)(4, 63)(5, 64)(6, 65)(7, 49)(8, 68)(9, 59)(10, 66)(11, 72)(12, 50)(13, 67)(14, 51)(15, 55)(16, 56)(17, 62)(18, 60)(19, 69)(20, 53)(21, 70)(22, 61)(23, 57)(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, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.160
Graph:: bipartite
	v = 7 e = 48 f = 5
	degree seq :: [ 12^4, 16^3 ]

E19.159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 8, 12})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3, Y2^3 * Y3^-1, (Y2, Y1^-1), (Y2, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 15, 39, 16, 40, 4, 28, 5, 29)(3, 27, 8, 32, 14, 38, 19, 43, 23, 47, 24, 48, 12, 36, 13, 37)(6, 30, 9, 33, 18, 42, 20, 44, 21, 45, 22, 46, 11, 35, 17, 41)(49, 73, 51, 75, 59, 83, 52, 76, 60, 84, 69, 93, 63, 87, 71, 95, 66, 90, 55, 79, 62, 86, 54, 78)(50, 74, 56, 80, 65, 89, 53, 77, 61, 85, 70, 94, 64, 88, 72, 96, 68, 92, 58, 82, 67, 91, 57, 81)
	L = (1, 52)(2, 53)(3, 60)(4, 63)(5, 64)(6, 59)(7, 49)(8, 61)(9, 65)(10, 50)(11, 69)(12, 71)(13, 72)(14, 51)(15, 55)(16, 58)(17, 70)(18, 54)(19, 56)(20, 57)(21, 66)(22, 68)(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, 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 E19.157
Graph:: bipartite
	v = 5 e = 48 f = 7
	degree seq :: [ 16^3, 24^2 ]

E19.160 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 8, 12})
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^-3 * Y3, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3), Y3^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 9, 33, 15, 39, 17, 41, 7, 31, 5, 29)(3, 27, 8, 32, 12, 36, 20, 44, 22, 46, 23, 47, 14, 38, 13, 37)(6, 30, 10, 34, 11, 35, 19, 43, 21, 45, 24, 48, 18, 42, 16, 40)(49, 73, 51, 75, 59, 83, 52, 76, 60, 84, 69, 93, 63, 87, 70, 94, 66, 90, 55, 79, 62, 86, 54, 78)(50, 74, 56, 80, 67, 91, 57, 81, 68, 92, 72, 96, 65, 89, 71, 95, 64, 88, 53, 77, 61, 85, 58, 82)
	L = (1, 52)(2, 57)(3, 60)(4, 63)(5, 50)(6, 59)(7, 49)(8, 68)(9, 65)(10, 67)(11, 69)(12, 70)(13, 56)(14, 51)(15, 55)(16, 58)(17, 53)(18, 54)(19, 72)(20, 71)(21, 66)(22, 62)(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, 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 E19.158
Graph:: bipartite
	v = 5 e = 48 f = 7
	degree seq :: [ 16^3, 24^2 ]

E19.161 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^-2, (Y1^-1, Y2), (R * Y3)^2, (Y2^-1, Y3^-1), (Y3^-1, Y1^-1), (R * Y1)^2, Y3^4, (R * Y2)^2, Y3^2 * Y1^3, Y3 * Y1 * Y3 * Y2^-2, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 17, 41, 13, 37, 5, 29)(3, 27, 9, 33, 6, 30, 11, 35, 22, 46, 15, 39)(4, 28, 10, 34, 20, 44, 7, 31, 12, 36, 18, 42)(14, 38, 23, 47, 19, 43, 16, 40, 24, 48, 21, 45)(49, 73, 51, 75, 61, 85, 70, 94, 56, 80, 54, 78)(50, 74, 57, 81, 53, 77, 63, 87, 65, 89, 59, 83)(52, 76, 62, 86, 60, 84, 72, 96, 68, 92, 67, 91)(55, 79, 64, 88, 58, 82, 71, 95, 66, 90, 69, 93)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 66)(6, 67)(7, 49)(8, 68)(9, 71)(10, 61)(11, 64)(12, 50)(13, 60)(14, 59)(15, 69)(16, 51)(17, 55)(18, 56)(19, 63)(20, 53)(21, 54)(22, 72)(23, 70)(24, 57)(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) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.174
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 12^8 ]

E19.162 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (Y1, Y2^-1), (R * Y1)^2, Y1^-2 * Y2^-4, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 22, 46, 21, 45, 10, 34)(5, 29, 8, 32, 16, 40, 23, 47, 19, 43, 12, 36)(9, 33, 17, 41, 13, 37, 18, 42, 24, 48, 20, 44)(49, 73, 51, 75, 57, 81, 67, 91, 59, 83, 69, 93, 72, 96, 64, 88, 54, 78, 63, 87, 61, 85, 53, 77)(50, 74, 55, 79, 65, 89, 60, 84, 52, 76, 58, 82, 68, 92, 71, 95, 62, 86, 70, 94, 66, 90, 56, 80)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.163 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y2^4 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 22, 46, 19, 43, 10, 34)(5, 29, 8, 32, 16, 40, 23, 47, 20, 44, 12, 36)(9, 33, 17, 41, 24, 48, 21, 45, 13, 37, 18, 42)(49, 73, 51, 75, 57, 81, 64, 88, 54, 78, 63, 87, 72, 96, 68, 92, 59, 83, 67, 91, 61, 85, 53, 77)(50, 74, 55, 79, 65, 89, 71, 95, 62, 86, 70, 94, 69, 93, 60, 84, 52, 76, 58, 82, 66, 90, 56, 80)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.164 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y3 * Y1^-1, Y1^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 15, 39, 13, 37, 5, 29)(3, 27, 8, 32, 16, 40, 21, 45, 14, 38, 6, 30)(4, 28, 9, 33, 17, 41, 22, 46, 19, 43, 11, 35)(10, 34, 18, 42, 23, 47, 24, 48, 20, 44, 12, 36)(49, 73, 51, 75, 50, 74, 56, 80, 55, 79, 64, 88, 63, 87, 69, 93, 61, 85, 62, 86, 53, 77, 54, 78)(52, 76, 58, 82, 57, 81, 66, 90, 65, 89, 71, 95, 70, 94, 72, 96, 67, 91, 68, 92, 59, 83, 60, 84)
	L = (1, 52)(2, 57)(3, 58)(4, 49)(5, 59)(6, 60)(7, 65)(8, 66)(9, 50)(10, 51)(11, 53)(12, 54)(13, 67)(14, 68)(15, 70)(16, 71)(17, 55)(18, 56)(19, 61)(20, 62)(21, 72)(22, 63)(23, 64)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.167
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1 * Y2^2, Y2 * Y3 * Y2^-1 * Y3, Y1 * Y3 * Y1^-1 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 15, 39, 14, 38, 5, 29)(3, 27, 6, 30, 9, 33, 17, 41, 20, 44, 11, 35)(4, 28, 8, 32, 16, 40, 22, 46, 21, 45, 12, 36)(10, 34, 13, 37, 18, 42, 23, 47, 24, 48, 19, 43)(49, 73, 51, 75, 53, 77, 59, 83, 62, 86, 68, 92, 63, 87, 65, 89, 55, 79, 57, 81, 50, 74, 54, 78)(52, 76, 58, 82, 60, 84, 67, 91, 69, 93, 72, 96, 70, 94, 71, 95, 64, 88, 66, 90, 56, 80, 61, 85)
	L = (1, 52)(2, 56)(3, 58)(4, 49)(5, 60)(6, 61)(7, 64)(8, 50)(9, 66)(10, 51)(11, 67)(12, 53)(13, 54)(14, 69)(15, 70)(16, 55)(17, 71)(18, 57)(19, 59)(20, 72)(21, 62)(22, 63)(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, 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 E19.166
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y2^-2, (R * Y1)^2, Y2^-2 * Y3 * Y1^-1, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, Y1^6, (Y2^-1 * Y1)^4, Y1^-2 * Y2^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 15, 39, 14, 38, 5, 29)(3, 27, 8, 32, 16, 40, 22, 46, 21, 45, 13, 37)(4, 28, 9, 33, 17, 41, 23, 47, 20, 44, 11, 35)(6, 30, 10, 34, 18, 42, 24, 48, 19, 43, 12, 36)(49, 73, 51, 75, 59, 83, 67, 91, 62, 86, 69, 93, 71, 95, 66, 90, 55, 79, 64, 88, 57, 81, 54, 78)(50, 74, 56, 80, 52, 76, 60, 84, 53, 77, 61, 85, 68, 92, 72, 96, 63, 87, 70, 94, 65, 89, 58, 82)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 59)(6, 56)(7, 65)(8, 54)(9, 50)(10, 64)(11, 53)(12, 51)(13, 67)(14, 68)(15, 71)(16, 58)(17, 55)(18, 70)(19, 61)(20, 62)(21, 72)(22, 66)(23, 63)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.165
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y3 * Y2 * Y1^-1, (Y1, Y2^-1), Y3 * Y2^2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y3 * Y1^-1, Y1^6, (R * Y2 * Y3)^2, (Y1 * Y3)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 15, 39, 13, 37, 5, 29)(3, 27, 8, 32, 16, 40, 22, 46, 19, 43, 11, 35)(4, 28, 9, 33, 17, 41, 23, 47, 20, 44, 12, 36)(6, 30, 10, 34, 18, 42, 24, 48, 21, 45, 14, 38)(49, 73, 51, 75, 57, 81, 66, 90, 55, 79, 64, 88, 71, 95, 69, 93, 61, 85, 67, 91, 60, 84, 54, 78)(50, 74, 56, 80, 65, 89, 72, 96, 63, 87, 70, 94, 68, 92, 62, 86, 53, 77, 59, 83, 52, 76, 58, 82)
	L = (1, 52)(2, 57)(3, 58)(4, 49)(5, 60)(6, 59)(7, 65)(8, 66)(9, 50)(10, 51)(11, 54)(12, 53)(13, 68)(14, 67)(15, 71)(16, 72)(17, 55)(18, 56)(19, 62)(20, 61)(21, 70)(22, 69)(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) :: { ( 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 E19.164
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (Y2^-1, Y1^-1), (Y2^-1 * R)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3, Y2^-4 * Y1^-2, Y1^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 19, 43, 16, 40, 5, 29)(3, 27, 8, 32, 20, 44, 24, 48, 15, 39, 13, 37)(4, 28, 9, 33, 11, 35, 21, 45, 18, 42, 14, 38)(6, 30, 10, 34, 12, 36, 22, 46, 23, 47, 17, 41)(49, 73, 51, 75, 59, 83, 71, 95, 64, 88, 63, 87, 52, 76, 60, 84, 55, 79, 68, 92, 66, 90, 54, 78)(50, 74, 56, 80, 69, 93, 65, 89, 53, 77, 61, 85, 57, 81, 70, 94, 67, 91, 72, 96, 62, 86, 58, 82)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 62)(6, 63)(7, 59)(8, 70)(9, 50)(10, 61)(11, 55)(12, 51)(13, 58)(14, 53)(15, 54)(16, 66)(17, 72)(18, 64)(19, 69)(20, 71)(21, 67)(22, 56)(23, 68)(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) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1, Y2^-1), (Y2^-1 * R)^2, Y1^-1 * Y3 * Y1 * Y3, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1^2 * Y3, Y2^-4 * Y1^2, Y1^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 19, 43, 16, 40, 5, 29)(3, 27, 8, 32, 15, 39, 21, 45, 24, 48, 13, 37)(4, 28, 9, 33, 18, 42, 22, 46, 11, 35, 14, 38)(6, 30, 10, 34, 20, 44, 23, 47, 12, 36, 17, 41)(49, 73, 51, 75, 59, 83, 68, 92, 55, 79, 63, 87, 52, 76, 60, 84, 64, 88, 72, 96, 66, 90, 54, 78)(50, 74, 56, 80, 62, 86, 71, 95, 67, 91, 69, 93, 57, 81, 65, 89, 53, 77, 61, 85, 70, 94, 58, 82)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 62)(6, 63)(7, 66)(8, 65)(9, 50)(10, 69)(11, 64)(12, 51)(13, 71)(14, 53)(15, 54)(16, 59)(17, 56)(18, 55)(19, 70)(20, 72)(21, 58)(22, 67)(23, 61)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y2^-1), Y3 * Y2^4, Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 4, 28, 5, 29)(3, 27, 8, 32, 14, 38, 20, 44, 12, 36, 13, 37)(6, 30, 9, 33, 18, 42, 22, 46, 15, 39, 16, 40)(11, 35, 19, 43, 23, 47, 24, 48, 17, 41, 21, 45)(49, 73, 51, 75, 59, 83, 66, 90, 55, 79, 62, 86, 71, 95, 63, 87, 52, 76, 60, 84, 65, 89, 54, 78)(50, 74, 56, 80, 67, 91, 70, 94, 58, 82, 68, 92, 72, 96, 64, 88, 53, 77, 61, 85, 69, 93, 57, 81)
	L = (1, 52)(2, 53)(3, 60)(4, 55)(5, 58)(6, 63)(7, 49)(8, 61)(9, 64)(10, 50)(11, 65)(12, 62)(13, 68)(14, 51)(15, 66)(16, 70)(17, 71)(18, 54)(19, 69)(20, 56)(21, 72)(22, 57)(23, 59)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y3^-2 * Y1^2, (Y3, Y2^-1), (Y1 * Y3^-1)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^6, Y3^2 * Y2 * Y3^2 * Y2 * Y1, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 15, 39, 5, 29)(3, 27, 9, 33, 20, 44, 23, 47, 16, 40, 6, 30)(4, 28, 10, 34, 21, 45, 17, 41, 7, 31, 11, 35)(12, 36, 22, 46, 24, 48, 18, 42, 13, 37, 14, 38)(49, 73, 51, 75, 50, 74, 57, 81, 56, 80, 68, 92, 67, 91, 71, 95, 63, 87, 64, 88, 53, 77, 54, 78)(52, 76, 60, 84, 58, 82, 70, 94, 69, 93, 72, 96, 65, 89, 66, 90, 55, 79, 61, 85, 59, 83, 62, 86)
	L = (1, 52)(2, 58)(3, 60)(4, 56)(5, 59)(6, 62)(7, 49)(8, 69)(9, 70)(10, 67)(11, 50)(12, 68)(13, 51)(14, 57)(15, 55)(16, 61)(17, 53)(18, 54)(19, 65)(20, 72)(21, 63)(22, 71)(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 ), ( 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 E19.172
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y3, Y1^-1), (R * Y1)^2, Y2 * Y3 * Y2 * Y1, Y2^-2 * Y3^-1 * Y1^-1, (Y3 * Y1^-1)^2, (Y2^-1, Y1), (R * Y3)^2, (Y2^-1 * R)^2, Y1^-1 * Y3^-1 * Y2^2 * Y1^-2, Y2^-1 * Y3^-2 * Y2 * Y1^2, Y1^-1 * Y2^10 * Y3^-1, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 18, 42, 5, 29)(3, 27, 9, 33, 20, 44, 17, 41, 24, 48, 15, 39)(4, 28, 10, 34, 21, 45, 13, 37, 7, 31, 12, 36)(6, 30, 11, 35, 22, 46, 16, 40, 23, 47, 14, 38)(49, 73, 51, 75, 61, 85, 70, 94, 56, 80, 68, 92, 60, 84, 71, 95, 66, 90, 72, 96, 58, 82, 54, 78)(50, 74, 57, 81, 55, 79, 64, 88, 67, 91, 65, 89, 52, 76, 62, 86, 53, 77, 63, 87, 69, 93, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 56)(5, 60)(6, 65)(7, 49)(8, 69)(9, 54)(10, 67)(11, 72)(12, 50)(13, 53)(14, 68)(15, 71)(16, 51)(17, 70)(18, 55)(19, 61)(20, 59)(21, 66)(22, 63)(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) :: { ( 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 E19.171
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y3 * Y1^-2 * Y3, (Y3 * Y1^-1)^2, (R * Y2)^2, (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y1^6, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 15, 39, 5, 29)(3, 27, 9, 33, 20, 44, 24, 48, 18, 42, 14, 38)(4, 28, 10, 34, 21, 45, 17, 41, 7, 31, 12, 36)(6, 30, 11, 35, 13, 37, 22, 46, 23, 47, 16, 40)(49, 73, 51, 75, 52, 76, 61, 85, 56, 80, 68, 92, 69, 93, 71, 95, 63, 87, 66, 90, 55, 79, 54, 78)(50, 74, 57, 81, 58, 82, 70, 94, 67, 91, 72, 96, 65, 89, 64, 88, 53, 77, 62, 86, 60, 84, 59, 83)
	L = (1, 52)(2, 58)(3, 61)(4, 56)(5, 60)(6, 51)(7, 49)(8, 69)(9, 70)(10, 67)(11, 57)(12, 50)(13, 68)(14, 59)(15, 55)(16, 62)(17, 53)(18, 54)(19, 65)(20, 71)(21, 63)(22, 72)(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 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2^-2 * Y1^-1, Y3 * Y2^-3, (Y2^-1 * Y1^-1)^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^4, Y1^-1 * Y3^2 * Y2 * Y3 * Y1^-1, (Y3^-1 * Y2^-1)^3, Y2^-2 * Y1^10 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 17, 41, 22, 46, 15, 39, 21, 45, 14, 38, 20, 44, 13, 37, 5, 29)(3, 27, 9, 33, 6, 30, 11, 35, 7, 31, 12, 36, 19, 43, 24, 48, 23, 47, 16, 40, 4, 28, 10, 34)(49, 73, 51, 75, 61, 85, 52, 76, 62, 86, 71, 95, 63, 87, 67, 91, 65, 89, 55, 79, 56, 80, 54, 78)(50, 74, 57, 81, 53, 77, 58, 82, 68, 92, 64, 88, 69, 93, 72, 96, 70, 94, 60, 84, 66, 90, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 63)(5, 64)(6, 61)(7, 49)(8, 51)(9, 68)(10, 69)(11, 53)(12, 50)(13, 71)(14, 67)(15, 55)(16, 70)(17, 54)(18, 57)(19, 56)(20, 72)(21, 60)(22, 59)(23, 65)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E19.161
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.175 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 12, 12})
Quotient :: edge^2
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, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y3^-2 * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y1^-3, Y3^4 * Y1^-2, Y1^6, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 10, 34, 18, 42, 6, 30, 17, 41, 24, 48, 20, 44, 13, 37, 21, 45, 15, 39, 5, 29)(2, 26, 7, 31, 19, 43, 11, 35, 16, 40, 14, 38, 23, 47, 9, 33, 4, 28, 12, 36, 22, 46, 8, 32)(49, 50, 54, 64, 61, 52)(51, 57, 65, 56, 69, 59)(53, 62, 66, 60, 68, 55)(58, 67, 72, 71, 63, 70)(73, 74, 78, 88, 85, 76)(75, 81, 89, 80, 93, 83)(77, 86, 90, 84, 92, 79)(82, 91, 96, 95, 87, 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 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E19.177
Graph:: bipartite
	v = 10 e = 48 f = 2
	degree seq :: [ 6^8, 24^2 ]

E19.176 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 12, 12})
Quotient :: edge^2
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^-1), Y2^-1 * Y1^-1 * Y3^-2, Y3 * Y1 * Y3^-1 * Y2^-1, (Y2^-1 * Y3^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y2^-2 * Y1^2, Y1^-1 * Y3 * Y2 * Y3^-1, Y2^5 * Y1, Y2^-1 * Y1^-5, Y3 * Y2^-1 * Y3^3 * Y2^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 15, 39, 23, 47, 9, 33, 7, 31)(2, 26, 10, 34, 6, 30, 16, 40, 20, 44, 12, 36)(3, 27, 13, 37, 5, 29, 17, 41, 19, 43, 14, 38)(8, 32, 21, 45, 11, 35, 24, 48, 18, 42, 22, 46)(49, 50, 56, 67, 63, 54, 59, 51, 57, 68, 66, 53)(52, 61, 69, 60, 71, 65, 72, 58, 55, 62, 70, 64)(73, 75, 80, 92, 87, 77, 83, 74, 81, 91, 90, 78)(76, 82, 93, 86, 95, 88, 96, 85, 79, 84, 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) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.178
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 12^8 ]

E19.177 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 12, 12})
Quotient :: loop^2
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, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y3^-2 * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y1^-3, Y3^4 * Y1^-2, Y1^6, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 10, 34, 58, 82, 18, 42, 66, 90, 6, 30, 54, 78, 17, 41, 65, 89, 24, 48, 72, 96, 20, 44, 68, 92, 13, 37, 61, 85, 21, 45, 69, 93, 15, 39, 63, 87, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 19, 43, 67, 91, 11, 35, 59, 83, 16, 40, 64, 88, 14, 38, 62, 86, 23, 47, 71, 95, 9, 33, 57, 81, 4, 28, 52, 76, 12, 36, 60, 84, 22, 46, 70, 94, 8, 32, 56, 80)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 38)(6, 40)(7, 29)(8, 45)(9, 41)(10, 43)(11, 27)(12, 44)(13, 28)(14, 42)(15, 46)(16, 37)(17, 32)(18, 36)(19, 48)(20, 31)(21, 35)(22, 34)(23, 39)(24, 47)(49, 74)(50, 78)(51, 81)(52, 73)(53, 86)(54, 88)(55, 77)(56, 93)(57, 89)(58, 91)(59, 75)(60, 92)(61, 76)(62, 90)(63, 94)(64, 85)(65, 80)(66, 84)(67, 96)(68, 79)(69, 83)(70, 82)(71, 87)(72, 95)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.175
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 10
	degree seq :: [ 48^2 ]

E19.178 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 12, 12})
Quotient :: loop^2
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^-1), Y2^-1 * Y1^-1 * Y3^-2, Y3 * Y1 * Y3^-1 * Y2^-1, (Y2^-1 * Y3^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y2^-2 * Y1^2, Y1^-1 * Y3 * Y2 * Y3^-1, Y2^5 * Y1, Y2^-1 * Y1^-5, Y3 * Y2^-1 * Y3^3 * Y2^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 15, 39, 63, 87, 23, 47, 71, 95, 9, 33, 57, 81, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 6, 30, 54, 78, 16, 40, 64, 88, 20, 44, 68, 92, 12, 36, 60, 84)(3, 27, 51, 75, 13, 37, 61, 85, 5, 29, 53, 77, 17, 41, 65, 89, 19, 43, 67, 91, 14, 38, 62, 86)(8, 32, 56, 80, 21, 45, 69, 93, 11, 35, 59, 83, 24, 48, 72, 96, 18, 42, 66, 90, 22, 46, 70, 94)
	L = (1, 26)(2, 32)(3, 33)(4, 37)(5, 25)(6, 35)(7, 38)(8, 43)(9, 44)(10, 31)(11, 27)(12, 47)(13, 45)(14, 46)(15, 30)(16, 28)(17, 48)(18, 29)(19, 39)(20, 42)(21, 36)(22, 40)(23, 41)(24, 34)(49, 75)(50, 81)(51, 80)(52, 82)(53, 83)(54, 73)(55, 84)(56, 92)(57, 91)(58, 93)(59, 74)(60, 94)(61, 79)(62, 95)(63, 77)(64, 96)(65, 76)(66, 78)(67, 90)(68, 87)(69, 86)(70, 89)(71, 88)(72, 85)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E19.176
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 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, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-4 * Y1^-2, Y1^6, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 16, 40, 12, 36, 4, 28)(3, 27, 9, 33, 17, 41, 13, 37, 21, 45, 8, 32)(5, 29, 11, 35, 18, 42, 7, 31, 19, 43, 14, 38)(10, 34, 20, 44, 15, 39, 22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 58, 82, 67, 91, 60, 84, 69, 93, 72, 96, 66, 90, 54, 78, 65, 89, 63, 87, 53, 77)(50, 74, 55, 79, 68, 92, 61, 85, 52, 76, 59, 83, 71, 95, 57, 81, 64, 88, 62, 86, 70, 94, 56, 80)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 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, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^4 * Y1^-1, Y1^-2 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^3, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 16, 40, 13, 37, 4, 28)(3, 27, 9, 33, 17, 41, 8, 32, 21, 45, 11, 35)(5, 29, 14, 38, 18, 42, 12, 36, 20, 44, 7, 31)(10, 34, 19, 43, 24, 48, 23, 47, 15, 39, 22, 46)(49, 73, 51, 75, 58, 82, 66, 90, 54, 78, 65, 89, 72, 96, 68, 92, 61, 85, 69, 93, 63, 87, 53, 77)(50, 74, 55, 79, 67, 91, 59, 83, 64, 88, 62, 86, 71, 95, 57, 81, 52, 76, 60, 84, 70, 94, 56, 80)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 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, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (Y2^-1 * R)^2, (Y2 * Y1^-1)^2, Y2^2 * Y3 * Y1^-2, Y2 * Y1^-1 * Y2^-1 * Y1 * Y3, Y2 * Y1^-1 * Y3 * Y2^-1 * Y1, Y1^-1 * Y2^-4 * Y1^-1, Y1^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 21, 45, 17, 41, 5, 29)(3, 27, 11, 35, 22, 46, 18, 42, 15, 39, 10, 34)(4, 28, 9, 33, 12, 36, 24, 48, 20, 44, 14, 38)(6, 30, 16, 40, 13, 37, 8, 32, 23, 47, 19, 43)(49, 73, 51, 75, 60, 84, 71, 95, 65, 89, 63, 87, 52, 76, 61, 85, 55, 79, 70, 94, 68, 92, 54, 78)(50, 74, 56, 80, 72, 96, 66, 90, 53, 77, 64, 88, 57, 81, 59, 83, 69, 93, 67, 91, 62, 86, 58, 82)
	L = (1, 52)(2, 57)(3, 61)(4, 49)(5, 62)(6, 63)(7, 60)(8, 59)(9, 50)(10, 64)(11, 56)(12, 55)(13, 51)(14, 53)(15, 54)(16, 58)(17, 68)(18, 67)(19, 66)(20, 65)(21, 72)(22, 71)(23, 70)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 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, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, Y1^-1 * Y3 * Y1 * Y3, (Y2^-1 * R)^2, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, Y1^2 * Y2^2 * Y3, Y3 * Y1 * Y2 * Y1^-1 * Y2^-1, Y3 * Y2^2 * Y1^2, (Y2^2 * Y1^-1)^2, Y1^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 21, 45, 18, 42, 5, 29)(3, 27, 11, 35, 16, 40, 10, 34, 23, 47, 14, 38)(4, 28, 9, 33, 20, 44, 24, 48, 12, 36, 15, 39)(6, 30, 19, 43, 22, 46, 17, 41, 13, 37, 8, 32)(49, 73, 51, 75, 60, 84, 70, 94, 55, 79, 64, 88, 52, 76, 61, 85, 66, 90, 71, 95, 68, 92, 54, 78)(50, 74, 56, 80, 63, 87, 62, 86, 69, 93, 67, 91, 57, 81, 59, 83, 53, 77, 65, 89, 72, 96, 58, 82)
	L = (1, 52)(2, 57)(3, 61)(4, 49)(5, 63)(6, 64)(7, 68)(8, 59)(9, 50)(10, 67)(11, 56)(12, 66)(13, 51)(14, 65)(15, 53)(16, 54)(17, 62)(18, 60)(19, 58)(20, 55)(21, 72)(22, 71)(23, 70)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.183 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 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, Y3^3, Y1^2 * Y3, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2), (Y3 * Y1^-1)^2, (R * Y2)^2, Y1^-1 * Y2 * Y1^-1 * Y3 * Y2, Y3 * Y2^4, (Y2^-1 * Y3)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 4, 28, 5, 29)(3, 27, 11, 35, 15, 39, 9, 33, 13, 37, 14, 38)(6, 30, 18, 42, 20, 44, 17, 41, 16, 40, 8, 32)(12, 36, 21, 45, 24, 48, 23, 47, 19, 43, 22, 46)(49, 73, 51, 75, 60, 84, 68, 92, 55, 79, 63, 87, 72, 96, 64, 88, 52, 76, 61, 85, 67, 91, 54, 78)(50, 74, 56, 80, 69, 93, 62, 86, 58, 82, 66, 90, 71, 95, 59, 83, 53, 77, 65, 89, 70, 94, 57, 81)
	L = (1, 52)(2, 53)(3, 61)(4, 55)(5, 58)(6, 64)(7, 49)(8, 65)(9, 59)(10, 50)(11, 62)(12, 67)(13, 63)(14, 57)(15, 51)(16, 68)(17, 66)(18, 56)(19, 72)(20, 54)(21, 70)(22, 71)(23, 69)(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, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.184 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 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, Y2^2 * Y3^-1, (Y1^-1, Y3^-1), (Y1^-1 * Y3)^2, (Y2 * Y1)^2, Y3 * Y1^-2 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-2 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^3, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 21, 45, 17, 41, 5, 29)(3, 27, 13, 37, 22, 46, 11, 35, 20, 44, 15, 39)(4, 28, 10, 34, 23, 47, 18, 42, 7, 31, 12, 36)(6, 30, 19, 43, 14, 38, 16, 40, 24, 48, 9, 33)(49, 73, 51, 75, 52, 76, 62, 86, 56, 80, 70, 94, 71, 95, 72, 96, 65, 89, 68, 92, 55, 79, 54, 78)(50, 74, 57, 81, 58, 82, 63, 87, 69, 93, 67, 91, 66, 90, 61, 85, 53, 77, 64, 88, 60, 84, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 56)(5, 60)(6, 51)(7, 49)(8, 71)(9, 63)(10, 69)(11, 57)(12, 50)(13, 64)(14, 70)(15, 67)(16, 59)(17, 55)(18, 53)(19, 61)(20, 54)(21, 66)(22, 72)(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, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.185 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y1^4, (Y3^-1, Y1^-1), (Y2, Y1^-1), Y3 * Y2^4, Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2, Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y1^2 * Y2^2, (Y1^-1 * Y3^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 18, 42, 15, 39)(4, 28, 10, 34, 13, 37, 17, 41)(6, 30, 11, 35, 16, 40, 19, 43)(7, 31, 12, 36, 21, 45, 20, 44)(14, 38, 23, 47, 22, 46, 24, 48)(49, 73, 51, 75, 61, 85, 70, 94, 55, 79, 64, 88, 56, 80, 66, 90, 52, 76, 62, 86, 69, 93, 54, 78)(50, 74, 57, 81, 65, 89, 72, 96, 60, 84, 67, 91, 53, 77, 63, 87, 58, 82, 71, 95, 68, 92, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 55)(5, 65)(6, 66)(7, 49)(8, 61)(9, 71)(10, 60)(11, 63)(12, 50)(13, 69)(14, 64)(15, 72)(16, 51)(17, 68)(18, 70)(19, 57)(20, 53)(21, 56)(22, 54)(23, 67)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^8 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E19.187
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 8^6, 24^2 ]

E19.186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1, Y2 * Y3 * Y1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^4, Y2^4 * Y3^-2, Y3^6, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 7, 31, 10, 34, 12, 36)(4, 28, 6, 30, 9, 33, 15, 39)(11, 35, 13, 37, 18, 42, 20, 44)(14, 38, 16, 40, 17, 41, 19, 43)(21, 45, 22, 46, 23, 47, 24, 48)(49, 73, 51, 75, 59, 83, 69, 93, 62, 86, 63, 87, 56, 80, 58, 82, 66, 90, 71, 95, 65, 89, 54, 78)(50, 74, 55, 79, 61, 85, 70, 94, 64, 88, 52, 76, 53, 77, 60, 84, 68, 92, 72, 96, 67, 91, 57, 81)
	L = (1, 52)(2, 54)(3, 53)(4, 62)(5, 63)(6, 64)(7, 49)(8, 57)(9, 65)(10, 50)(11, 60)(12, 56)(13, 51)(14, 72)(15, 67)(16, 69)(17, 70)(18, 55)(19, 71)(20, 58)(21, 68)(22, 59)(23, 61)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^8 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E19.188
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 8^6, 24^2 ]

E19.187 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y3^-1, Y1), (Y2 * Y1^-1)^2, Y1^-1 * Y2^2 * Y1^-1, (Y2, Y1), (R * Y1)^2, (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, Y3 * Y1^4, Y2 * Y1 * Y3 * Y2 * Y1, (Y1^2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 7, 31, 12, 36, 21, 45, 15, 39, 4, 28, 10, 34, 17, 41, 5, 29)(3, 27, 9, 33, 20, 44, 24, 48, 14, 38, 22, 46, 16, 40, 23, 47, 13, 37, 18, 42, 6, 30, 11, 35)(49, 73, 51, 75, 56, 80, 68, 92, 55, 79, 62, 86, 69, 93, 64, 88, 52, 76, 61, 85, 65, 89, 54, 78)(50, 74, 57, 81, 67, 91, 72, 96, 60, 84, 70, 94, 63, 87, 71, 95, 58, 82, 66, 90, 53, 77, 59, 83)
	L = (1, 52)(2, 58)(3, 61)(4, 55)(5, 63)(6, 64)(7, 49)(8, 65)(9, 66)(10, 60)(11, 71)(12, 50)(13, 62)(14, 51)(15, 67)(16, 68)(17, 69)(18, 70)(19, 53)(20, 54)(21, 56)(22, 57)(23, 72)(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) :: { ( 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 E19.185
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.188 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1, Y1 * Y3^-1 * Y2, (Y2^-1 * Y1)^2, Y2^2 * Y1^-2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^6, (Y3^-1 * Y1^-1)^4, Y1^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 11, 35, 12, 36, 18, 42, 24, 48, 22, 46, 16, 40, 15, 39, 13, 37, 5, 29)(3, 27, 4, 28, 9, 33, 17, 41, 19, 43, 20, 44, 23, 47, 21, 45, 14, 38, 7, 31, 6, 30, 10, 34)(49, 73, 51, 75, 56, 80, 57, 81, 60, 84, 67, 91, 72, 96, 71, 95, 64, 88, 62, 86, 61, 85, 54, 78)(50, 74, 52, 76, 59, 83, 65, 89, 66, 90, 68, 92, 70, 94, 69, 93, 63, 87, 55, 79, 53, 77, 58, 82)
	L = (1, 52)(2, 57)(3, 59)(4, 60)(5, 51)(6, 50)(7, 49)(8, 65)(9, 66)(10, 56)(11, 67)(12, 68)(13, 58)(14, 53)(15, 54)(16, 55)(17, 72)(18, 71)(19, 70)(20, 64)(21, 61)(22, 62)(23, 63)(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) :: { ( 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 E19.186
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.189 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 12, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^2 * Y2^-2, Y1^-1 * Y3^2 * Y1^-1, R * Y2 * R * Y1, Y3^-1 * Y2^2 * Y3^-1, (R * Y3)^2, Y2^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y1 * Y2)^4, Y1^-1 * Y3^-1 * Y1^-1 * Y3^9, Y2^12 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 6, 30, 15, 39, 22, 46, 18, 42, 24, 48, 17, 41, 23, 47, 16, 40, 11, 35, 5, 29)(2, 26, 7, 31, 14, 38, 13, 37, 21, 45, 10, 34, 20, 44, 9, 33, 19, 43, 12, 36, 4, 28, 8, 32)(49, 50, 54, 62, 70, 69, 72, 68, 71, 67, 59, 52)(51, 57, 63, 60, 66, 56, 65, 55, 64, 61, 53, 58)(73, 74, 78, 86, 94, 93, 96, 92, 95, 91, 83, 76)(75, 81, 87, 84, 90, 80, 89, 79, 88, 85, 77, 82)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^12 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E19.192
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.190 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 12, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y2 * Y1^-1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^4, R * Y1 * R * Y2, Y3^2 * Y1^6, Y2^-1 * Y3^2 * Y2^-1 * Y1^-4, Y2 * Y3^-1 * Y1^-2 * Y3^-1 * Y2 * Y3^-2, Y2^12, (Y3 * Y1^-1 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 5, 29)(2, 26, 7, 31, 16, 40, 8, 32)(4, 28, 11, 35, 17, 41, 10, 34)(6, 30, 14, 38, 24, 48, 15, 39)(12, 36, 18, 42, 21, 45, 19, 43)(13, 37, 22, 46, 20, 44, 23, 47)(49, 50, 54, 61, 69, 65, 57, 64, 72, 68, 60, 52)(51, 56, 62, 71, 67, 59, 53, 55, 63, 70, 66, 58)(73, 74, 78, 85, 93, 89, 81, 88, 96, 92, 84, 76)(75, 80, 86, 95, 91, 83, 77, 79, 87, 94, 90, 82)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^8 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E19.191
Graph:: bipartite
	v = 10 e = 48 f = 2
	degree seq :: [ 8^6, 12^4 ]

E19.191 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 12, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^2 * Y2^-2, Y1^-1 * Y3^2 * Y1^-1, R * Y2 * R * Y1, Y3^-1 * Y2^2 * Y3^-1, (R * Y3)^2, Y2^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y1 * Y2)^4, Y1^-1 * Y3^-1 * Y1^-1 * Y3^9, Y2^12 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 6, 30, 54, 78, 15, 39, 63, 87, 22, 46, 70, 94, 18, 42, 66, 90, 24, 48, 72, 96, 17, 41, 65, 89, 23, 47, 71, 95, 16, 40, 64, 88, 11, 35, 59, 83, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 14, 38, 62, 86, 13, 37, 61, 85, 21, 45, 69, 93, 10, 34, 58, 82, 20, 44, 68, 92, 9, 33, 57, 81, 19, 43, 67, 91, 12, 36, 60, 84, 4, 28, 52, 76, 8, 32, 56, 80)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 34)(6, 38)(7, 40)(8, 41)(9, 39)(10, 27)(11, 28)(12, 42)(13, 29)(14, 46)(15, 36)(16, 37)(17, 31)(18, 32)(19, 35)(20, 47)(21, 48)(22, 45)(23, 43)(24, 44)(49, 74)(50, 78)(51, 81)(52, 73)(53, 82)(54, 86)(55, 88)(56, 89)(57, 87)(58, 75)(59, 76)(60, 90)(61, 77)(62, 94)(63, 84)(64, 85)(65, 79)(66, 80)(67, 83)(68, 95)(69, 96)(70, 93)(71, 91)(72, 92)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.190
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 10
	degree seq :: [ 48^2 ]

E19.192 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 12, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y2 * Y1^-1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^4, R * Y1 * R * Y2, Y3^2 * Y1^6, Y2^-1 * Y3^2 * Y2^-1 * Y1^-4, Y2 * Y3^-1 * Y1^-2 * Y3^-1 * Y2 * Y3^-2, Y2^12, (Y3 * Y1^-1 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 9, 33, 57, 81, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 16, 40, 64, 88, 8, 32, 56, 80)(4, 28, 52, 76, 11, 35, 59, 83, 17, 41, 65, 89, 10, 34, 58, 82)(6, 30, 54, 78, 14, 38, 62, 86, 24, 48, 72, 96, 15, 39, 63, 87)(12, 36, 60, 84, 18, 42, 66, 90, 21, 45, 69, 93, 19, 43, 67, 91)(13, 37, 61, 85, 22, 46, 70, 94, 20, 44, 68, 92, 23, 47, 71, 95)
	L = (1, 26)(2, 30)(3, 32)(4, 25)(5, 31)(6, 37)(7, 39)(8, 38)(9, 40)(10, 27)(11, 29)(12, 28)(13, 45)(14, 47)(15, 46)(16, 48)(17, 33)(18, 34)(19, 35)(20, 36)(21, 41)(22, 42)(23, 43)(24, 44)(49, 74)(50, 78)(51, 80)(52, 73)(53, 79)(54, 85)(55, 87)(56, 86)(57, 88)(58, 75)(59, 77)(60, 76)(61, 93)(62, 95)(63, 94)(64, 96)(65, 81)(66, 82)(67, 83)(68, 84)(69, 89)(70, 90)(71, 91)(72, 92)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.189
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^3, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y3^-1, Y1^-1), (Y3^-1, Y2^-1), (R * Y1)^2, Y1^4, (R * Y3)^2, Y3 * Y2^4, Y3 * Y1^2 * Y2^-2, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 18, 42, 9, 33)(4, 28, 10, 34, 14, 38, 17, 41)(6, 30, 19, 43, 16, 40, 11, 35)(7, 31, 12, 36, 21, 45, 20, 44)(15, 39, 24, 48, 22, 46, 23, 47)(49, 73, 51, 75, 62, 86, 70, 94, 55, 79, 64, 88, 56, 80, 66, 90, 52, 76, 63, 87, 69, 93, 54, 78)(50, 74, 57, 81, 65, 89, 72, 96, 60, 84, 67, 91, 53, 77, 61, 85, 58, 82, 71, 95, 68, 92, 59, 83)
	L = (1, 52)(2, 58)(3, 63)(4, 55)(5, 65)(6, 66)(7, 49)(8, 62)(9, 71)(10, 60)(11, 61)(12, 50)(13, 72)(14, 69)(15, 64)(16, 51)(17, 68)(18, 70)(19, 57)(20, 53)(21, 56)(22, 54)(23, 67)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^8 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E19.195
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 8^6, 24^2 ]

E19.194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^-1 * Y2^2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y1 * Y2 * Y1 * Y2^-1, (Y1, Y3^-1), (R * Y2)^2, Y1^2 * Y3^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 21, 45, 9, 33)(4, 28, 10, 34, 20, 44, 16, 40)(6, 30, 17, 41, 22, 46, 11, 35)(7, 31, 12, 36, 15, 39, 18, 42)(14, 38, 24, 48, 19, 43, 23, 47)(49, 73, 51, 75, 52, 76, 62, 86, 63, 87, 70, 94, 56, 80, 69, 93, 68, 92, 67, 91, 55, 79, 54, 78)(50, 74, 57, 81, 58, 82, 71, 95, 66, 90, 65, 89, 53, 77, 61, 85, 64, 88, 72, 96, 60, 84, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 63)(5, 64)(6, 51)(7, 49)(8, 68)(9, 71)(10, 66)(11, 57)(12, 50)(13, 72)(14, 70)(15, 56)(16, 60)(17, 61)(18, 53)(19, 54)(20, 55)(21, 67)(22, 69)(23, 65)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^8 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E19.196
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 8^6, 24^2 ]

E19.195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^3, (R * Y3)^2, Y2^-1 * Y1^2 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (Y1, Y3^-1), (Y2, Y3^-1), Y3 * Y1^4, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y3 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1 * Y3^-1, Y1^2 * Y2^10, 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 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 21, 45, 7, 31, 12, 36, 24, 48, 17, 41, 4, 28, 10, 34, 19, 43, 5, 29)(3, 27, 13, 37, 23, 47, 20, 44, 16, 40, 11, 35, 18, 42, 9, 33, 14, 38, 22, 46, 6, 30, 15, 39)(49, 73, 51, 75, 56, 80, 71, 95, 55, 79, 64, 88, 72, 96, 66, 90, 52, 76, 62, 86, 67, 91, 54, 78)(50, 74, 57, 81, 69, 93, 70, 94, 60, 84, 63, 87, 65, 89, 61, 85, 58, 82, 68, 92, 53, 77, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 55)(5, 65)(6, 66)(7, 49)(8, 67)(9, 68)(10, 60)(11, 61)(12, 50)(13, 70)(14, 64)(15, 57)(16, 51)(17, 69)(18, 71)(19, 72)(20, 63)(21, 53)(22, 59)(23, 54)(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) :: { ( 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 E19.193
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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^-2 * Y3, Y1^-2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y1 * Y2 * Y1, Y3^6, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 9, 33, 14, 38, 21, 45, 24, 48, 23, 47, 19, 43, 16, 40, 7, 31, 5, 29)(3, 27, 11, 35, 12, 36, 15, 39, 22, 46, 10, 34, 20, 44, 8, 32, 18, 42, 17, 41, 6, 30, 13, 37)(49, 73, 51, 75, 52, 76, 60, 84, 62, 86, 70, 94, 72, 96, 68, 92, 67, 91, 66, 90, 55, 79, 54, 78)(50, 74, 56, 80, 57, 81, 65, 89, 69, 93, 61, 85, 71, 95, 59, 83, 64, 88, 63, 87, 53, 77, 58, 82)
	L = (1, 52)(2, 57)(3, 60)(4, 62)(5, 50)(6, 51)(7, 49)(8, 65)(9, 69)(10, 56)(11, 63)(12, 70)(13, 59)(14, 72)(15, 58)(16, 53)(17, 61)(18, 54)(19, 55)(20, 66)(21, 71)(22, 68)(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) :: { ( 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 E19.194
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3 * Y1, (Y3 * Y1^-1)^2, (Y1^-1, Y2^-1), (R * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, Y3 * Y2^4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 4, 28, 5, 29)(3, 27, 8, 32, 14, 38, 20, 44, 12, 36, 13, 37)(6, 30, 9, 33, 18, 42, 22, 46, 15, 39, 16, 40)(11, 35, 19, 43, 24, 48, 17, 41, 21, 45, 23, 47)(49, 73, 51, 75, 59, 83, 70, 94, 58, 82, 68, 92, 65, 89, 54, 78)(50, 74, 56, 80, 67, 91, 63, 87, 52, 76, 60, 84, 69, 93, 57, 81)(53, 77, 61, 85, 71, 95, 66, 90, 55, 79, 62, 86, 72, 96, 64, 88)
	L = (1, 52)(2, 53)(3, 60)(4, 55)(5, 58)(6, 63)(7, 49)(8, 61)(9, 64)(10, 50)(11, 69)(12, 62)(13, 68)(14, 51)(15, 66)(16, 70)(17, 67)(18, 54)(19, 71)(20, 56)(21, 72)(22, 57)(23, 65)(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, 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 E19.198
Graph:: bipartite
	v = 7 e = 48 f = 5
	degree seq :: [ 12^4, 16^3 ]

E19.198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 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, Y3^3, (R * Y2)^2, (Y3^-1, Y1), (Y1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1^-2 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 14, 38, 3, 27, 9, 33, 19, 43, 15, 39, 4, 28, 10, 34, 20, 44, 23, 47, 13, 37, 22, 46, 24, 48, 18, 42, 7, 31, 12, 36, 21, 45, 17, 41, 6, 30, 11, 35, 16, 40, 5, 29)(49, 73, 51, 75, 52, 76, 61, 85, 55, 79, 54, 78)(50, 74, 57, 81, 58, 82, 70, 94, 60, 84, 59, 83)(53, 77, 62, 86, 63, 87, 71, 95, 66, 90, 65, 89)(56, 80, 67, 91, 68, 92, 72, 96, 69, 93, 64, 88)
	L = (1, 52)(2, 58)(3, 61)(4, 55)(5, 63)(6, 51)(7, 49)(8, 68)(9, 70)(10, 60)(11, 57)(12, 50)(13, 54)(14, 71)(15, 66)(16, 67)(17, 62)(18, 53)(19, 72)(20, 69)(21, 56)(22, 59)(23, 65)(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, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.197
Graph:: bipartite
	v = 5 e = 48 f = 7
	degree seq :: [ 12^4, 48 ]

E19.199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y2^2, (Y3^-1, Y1^-1), (Y2^-1, Y3^-1), Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^2 * Y2 * Y1 * Y3, Y3^-1 * Y1^-1 * Y3^-2 * Y2^-1, Y1^-1 * Y3^3 * Y2^-1 * Y1^-1, (Y2^-1 * Y3)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 17, 41, 6, 30)(4, 28, 10, 34, 21, 45, 15, 39)(7, 31, 11, 35, 22, 46, 18, 42)(12, 36, 20, 44, 24, 48, 16, 40)(13, 37, 23, 47, 14, 38, 19, 43)(49, 73, 51, 75, 50, 74, 57, 81, 56, 80, 65, 89, 53, 77, 54, 78)(52, 76, 60, 84, 58, 82, 68, 92, 69, 93, 72, 96, 63, 87, 64, 88)(55, 79, 61, 85, 59, 83, 71, 95, 70, 94, 62, 86, 66, 90, 67, 91)
	L = (1, 52)(2, 58)(3, 60)(4, 62)(5, 63)(6, 64)(7, 49)(8, 69)(9, 68)(10, 67)(11, 50)(12, 66)(13, 51)(14, 65)(15, 71)(16, 70)(17, 72)(18, 53)(19, 54)(20, 55)(21, 61)(22, 56)(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) :: { ( 24, 48, 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.213
Graph:: bipartite
	v = 9 e = 48 f = 3
	degree seq :: [ 8^6, 16^3 ]

E19.200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y3)^2, (R * Y2)^2, (Y3, Y2^-1), Y1^4, (Y3^-1, Y1^-1), Y3^-1 * Y1 * Y2^-1 * Y3^-2, Y3^-1 * Y2 * Y1^-1 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 6, 30, 10, 34, 13, 37)(4, 28, 9, 33, 21, 45, 16, 40)(7, 31, 11, 35, 22, 46, 18, 42)(12, 36, 17, 41, 24, 48, 20, 44)(14, 38, 19, 43, 15, 39, 23, 47)(49, 73, 51, 75, 53, 77, 61, 85, 56, 80, 58, 82, 50, 74, 54, 78)(52, 76, 60, 84, 64, 88, 68, 92, 69, 93, 72, 96, 57, 81, 65, 89)(55, 79, 62, 86, 66, 90, 71, 95, 70, 94, 63, 87, 59, 83, 67, 91)
	L = (1, 52)(2, 57)(3, 60)(4, 63)(5, 64)(6, 65)(7, 49)(8, 69)(9, 71)(10, 72)(11, 50)(12, 59)(13, 68)(14, 51)(15, 58)(16, 67)(17, 70)(18, 53)(19, 54)(20, 55)(21, 62)(22, 56)(23, 61)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.211
Graph:: bipartite
	v = 9 e = 48 f = 3
	degree seq :: [ 8^6, 16^3 ]

E19.201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-1, Y1^-4, Y3^3 * Y2^-1, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2)^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, 23, 47, 15, 39)(13, 37, 22, 46, 24, 48, 18, 42)(49, 73, 51, 75, 50, 74, 57, 81, 56, 80, 64, 88, 53, 77, 54, 78)(52, 76, 60, 84, 58, 82, 69, 93, 67, 91, 71, 95, 62, 86, 63, 87)(55, 79, 61, 85, 59, 83, 70, 94, 68, 92, 72, 96, 65, 89, 66, 90)
	L = (1, 52)(2, 58)(3, 60)(4, 61)(5, 62)(6, 63)(7, 49)(8, 67)(9, 69)(10, 70)(11, 50)(12, 59)(13, 51)(14, 66)(15, 55)(16, 71)(17, 53)(18, 54)(19, 72)(20, 56)(21, 68)(22, 57)(23, 65)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.214
Graph:: bipartite
	v = 9 e = 48 f = 3
	degree seq :: [ 8^6, 16^3 ]

E19.202 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y2^2, Y3^3 * Y2^-1, Y3 * Y2^-1 * Y3^2, Y1^4, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y2)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * 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, 19, 43, 15, 39)(7, 31, 11, 35, 20, 44, 17, 41)(12, 36, 16, 40, 21, 45, 23, 47)(14, 38, 18, 42, 22, 46, 24, 48)(49, 73, 51, 75, 53, 77, 61, 85, 56, 80, 58, 82, 50, 74, 54, 78)(52, 76, 60, 84, 63, 87, 71, 95, 67, 91, 69, 93, 57, 81, 64, 88)(55, 79, 62, 86, 65, 89, 72, 96, 68, 92, 70, 94, 59, 83, 66, 90)
	L = (1, 52)(2, 57)(3, 60)(4, 62)(5, 63)(6, 64)(7, 49)(8, 67)(9, 66)(10, 69)(11, 50)(12, 65)(13, 71)(14, 51)(15, 72)(16, 55)(17, 53)(18, 54)(19, 70)(20, 56)(21, 59)(22, 58)(23, 68)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.212
Graph:: bipartite
	v = 9 e = 48 f = 3
	degree seq :: [ 8^6, 16^3 ]

E19.203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1 * R)^2, (R * Y3)^2, (Y1, Y2^-1), Y1^2 * Y2^3, (Y3^-1 * Y1^-1)^4, Y1^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 14, 38, 20, 44, 19, 43, 11, 35, 4, 28)(3, 27, 7, 31, 13, 37, 16, 40, 22, 46, 24, 48, 18, 42, 10, 34)(5, 29, 8, 32, 15, 39, 21, 45, 23, 47, 17, 41, 9, 33, 12, 36)(49, 73, 51, 75, 57, 81, 59, 83, 66, 90, 71, 95, 68, 92, 70, 94, 63, 87, 54, 78, 61, 85, 53, 77)(50, 74, 55, 79, 60, 84, 52, 76, 58, 82, 65, 89, 67, 91, 72, 96, 69, 93, 62, 86, 64, 88, 56, 80)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 61)(8, 63)(9, 60)(10, 51)(11, 52)(12, 53)(13, 64)(14, 68)(15, 69)(16, 70)(17, 57)(18, 58)(19, 59)(20, 67)(21, 71)(22, 72)(23, 65)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E19.207
Graph:: bipartite
	v = 5 e = 48 f = 7
	degree seq :: [ 16^3, 24^2 ]

E19.204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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)^2, Y1 * Y3^3, Y3^2 * Y1^-2, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^3 * Y1^2, Y3 * Y2^2 * Y3 * Y2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 7, 31, 12, 36, 4, 28, 10, 34, 5, 29)(3, 27, 9, 33, 19, 43, 16, 40, 23, 47, 14, 38, 22, 46, 15, 39)(6, 30, 11, 35, 21, 45, 20, 44, 24, 48, 17, 41, 13, 37, 18, 42)(49, 73, 51, 75, 61, 85, 58, 82, 70, 94, 72, 96, 60, 84, 71, 95, 69, 93, 56, 80, 67, 91, 54, 78)(50, 74, 57, 81, 66, 90, 53, 77, 63, 87, 65, 89, 52, 76, 62, 86, 68, 92, 55, 79, 64, 88, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 56)(5, 60)(6, 65)(7, 49)(8, 53)(9, 70)(10, 55)(11, 61)(12, 50)(13, 68)(14, 67)(15, 71)(16, 51)(17, 69)(18, 72)(19, 63)(20, 54)(21, 66)(22, 64)(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) :: { ( 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 E19.209
Graph:: bipartite
	v = 5 e = 48 f = 7
	degree seq :: [ 16^3, 24^2 ]

E19.205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1 * R)^2, (Y2, Y1^-1), Y2^3 * Y1^-2, Y1^8, (Y3^-1 * Y1^-1)^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 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 14, 38, 20, 44, 17, 41, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 21, 45, 24, 48, 19, 43, 13, 37, 10, 34)(5, 29, 8, 32, 9, 33, 16, 40, 22, 46, 23, 47, 18, 42, 12, 36)(49, 73, 51, 75, 57, 81, 54, 78, 63, 87, 70, 94, 68, 92, 72, 96, 66, 90, 59, 83, 61, 85, 53, 77)(50, 74, 55, 79, 64, 88, 62, 86, 69, 93, 71, 95, 65, 89, 67, 91, 60, 84, 52, 76, 58, 82, 56, 80)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 57)(9, 64)(10, 51)(11, 52)(12, 53)(13, 58)(14, 68)(15, 69)(16, 70)(17, 59)(18, 60)(19, 61)(20, 65)(21, 72)(22, 71)(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, 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 E19.208
Graph:: bipartite
	v = 5 e = 48 f = 7
	degree seq :: [ 16^3, 24^2 ]

E19.206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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), Y3^2 * Y1^-2, Y3^-3 * Y1^-1, (R * Y3)^2, (Y1^-1, Y2^-1), (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y2)^2, (Y3, Y2^-1), Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y3^-2 * Y2^3, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 7, 31, 12, 36, 4, 28, 10, 34, 5, 29)(3, 27, 9, 33, 21, 45, 16, 40, 22, 46, 14, 38, 19, 43, 15, 39)(6, 30, 11, 35, 13, 37, 20, 44, 24, 48, 17, 41, 23, 47, 18, 42)(49, 73, 51, 75, 61, 85, 56, 80, 69, 93, 72, 96, 60, 84, 70, 94, 71, 95, 58, 82, 67, 91, 54, 78)(50, 74, 57, 81, 68, 92, 55, 79, 64, 88, 65, 89, 52, 76, 62, 86, 66, 90, 53, 77, 63, 87, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 56)(5, 60)(6, 65)(7, 49)(8, 53)(9, 67)(10, 55)(11, 71)(12, 50)(13, 66)(14, 69)(15, 70)(16, 51)(17, 61)(18, 72)(19, 64)(20, 54)(21, 63)(22, 57)(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) :: { ( 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 E19.210
Graph:: bipartite
	v = 5 e = 48 f = 7
	degree seq :: [ 16^3, 24^2 ]

E19.207 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1, Y3), Y2^4, (Y1, Y2^-1), Y1^-1 * Y2 * Y3 * Y1^-2, Y2^-1 * Y1 * Y3^-1 * Y1^2, Y2^-1 * Y1^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 14, 38, 24, 48, 18, 42, 6, 30, 11, 35, 16, 40, 4, 28, 10, 34, 22, 46, 13, 37, 23, 47, 19, 43, 7, 31, 12, 36, 15, 39, 3, 27, 9, 33, 21, 45, 20, 44, 17, 41, 5, 29)(49, 73, 51, 75, 61, 85, 54, 78)(50, 74, 57, 81, 71, 95, 59, 83)(52, 76, 62, 86, 68, 92, 55, 79)(53, 77, 63, 87, 70, 94, 66, 90)(56, 80, 69, 93, 67, 91, 64, 88)(58, 82, 72, 96, 65, 89, 60, 84)
	L = (1, 52)(2, 58)(3, 62)(4, 51)(5, 64)(6, 55)(7, 49)(8, 70)(9, 72)(10, 57)(11, 60)(12, 50)(13, 68)(14, 61)(15, 56)(16, 63)(17, 59)(18, 67)(19, 53)(20, 54)(21, 66)(22, 69)(23, 65)(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, 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 E19.203
Graph:: bipartite
	v = 7 e = 48 f = 5
	degree seq :: [ 8^6, 48 ]

E19.208 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y1^3 * Y3, Y1^3 * Y3, Y2^4, (R * Y1)^2, (Y1, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 7, 31, 12, 36, 17, 41, 6, 30, 11, 35, 19, 43, 18, 42, 22, 46, 23, 47, 13, 37, 20, 44, 24, 48, 14, 38, 21, 45, 15, 39, 3, 27, 9, 33, 16, 40, 4, 28, 10, 34, 5, 29)(49, 73, 51, 75, 61, 85, 54, 78)(50, 74, 57, 81, 68, 92, 59, 83)(52, 76, 62, 86, 66, 90, 55, 79)(53, 77, 63, 87, 71, 95, 65, 89)(56, 80, 64, 88, 72, 96, 67, 91)(58, 82, 69, 93, 70, 94, 60, 84)
	L = (1, 52)(2, 58)(3, 62)(4, 51)(5, 64)(6, 55)(7, 49)(8, 53)(9, 69)(10, 57)(11, 60)(12, 50)(13, 66)(14, 61)(15, 72)(16, 63)(17, 56)(18, 54)(19, 65)(20, 70)(21, 68)(22, 59)(23, 67)(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, 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 E19.205
Graph:: bipartite
	v = 7 e = 48 f = 5
	degree seq :: [ 8^6, 48 ]

E19.209 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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^-2, Y3^2 * Y2, (Y1, Y3), (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^4, Y2 * Y1 * Y3^-1 * Y1^2, Y2 * Y1^3 * Y3^-1, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-2, (Y3 * Y2^-1)^8, Y1^-1 * Y2^3 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 17, 41, 24, 48, 14, 38, 3, 27, 9, 33, 16, 40, 4, 28, 10, 34, 21, 45, 13, 37, 23, 47, 20, 44, 7, 31, 12, 36, 19, 43, 6, 30, 11, 35, 22, 46, 15, 39, 18, 42, 5, 29)(49, 73, 51, 75, 61, 85, 54, 78)(50, 74, 57, 81, 71, 95, 59, 83)(52, 76, 55, 79, 63, 87, 65, 89)(53, 77, 62, 86, 69, 93, 67, 91)(56, 80, 64, 88, 68, 92, 70, 94)(58, 82, 60, 84, 66, 90, 72, 96)
	L = (1, 52)(2, 58)(3, 55)(4, 54)(5, 64)(6, 65)(7, 49)(8, 69)(9, 60)(10, 59)(11, 72)(12, 50)(13, 63)(14, 68)(15, 51)(16, 67)(17, 61)(18, 57)(19, 56)(20, 53)(21, 70)(22, 62)(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) :: { ( 16, 24, 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.204
Graph:: bipartite
	v = 7 e = 48 f = 5
	degree seq :: [ 8^6, 48 ]

E19.210 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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^-2, Y1^-1 * Y3^-1 * Y1^-2, Y3^-1 * Y1^-3, Y2^4, (Y3^-1, Y1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 7, 31, 12, 36, 14, 38, 3, 27, 9, 33, 19, 43, 15, 39, 21, 45, 23, 47, 13, 37, 20, 44, 24, 48, 17, 41, 22, 46, 18, 42, 6, 30, 11, 35, 16, 40, 4, 28, 10, 34, 5, 29)(49, 73, 51, 75, 61, 85, 54, 78)(50, 74, 57, 81, 68, 92, 59, 83)(52, 76, 55, 79, 63, 87, 65, 89)(53, 77, 62, 86, 71, 95, 66, 90)(56, 80, 67, 91, 72, 96, 64, 88)(58, 82, 60, 84, 69, 93, 70, 94)
	L = (1, 52)(2, 58)(3, 55)(4, 54)(5, 64)(6, 65)(7, 49)(8, 53)(9, 60)(10, 59)(11, 70)(12, 50)(13, 63)(14, 56)(15, 51)(16, 66)(17, 61)(18, 72)(19, 62)(20, 69)(21, 57)(22, 68)(23, 67)(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, 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 E19.206
Graph:: bipartite
	v = 7 e = 48 f = 5
	degree seq :: [ 8^6, 48 ]

E19.211 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y2^2, Y3 * Y1^2 * Y2, (Y3^-1, Y2^-1), Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, Y1^2 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, Y3^5 * Y2, (Y3^2 * Y1^-1)^2, Y3^-2 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3 * Y2^-2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 13, 37, 19, 43, 17, 41, 21, 45, 14, 38, 20, 44, 16, 40, 12, 36, 5, 29)(3, 27, 9, 33, 7, 31, 11, 35, 18, 42, 23, 47, 24, 48, 22, 46, 15, 39, 4, 28, 10, 34, 6, 30)(49, 73, 51, 75, 50, 74, 57, 81, 56, 80, 55, 79, 61, 85, 59, 83, 67, 91, 66, 90, 65, 89, 71, 95, 69, 93, 72, 96, 62, 86, 70, 94, 68, 92, 63, 87, 64, 88, 52, 76, 60, 84, 58, 82, 53, 77, 54, 78)
	L = (1, 52)(2, 58)(3, 60)(4, 62)(5, 63)(6, 64)(7, 49)(8, 54)(9, 53)(10, 68)(11, 50)(12, 70)(13, 51)(14, 66)(15, 69)(16, 72)(17, 55)(18, 56)(19, 57)(20, 71)(21, 59)(22, 65)(23, 61)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.200
Graph:: bipartite
	v = 3 e = 48 f = 9
	degree seq :: [ 24^2, 48 ]

E19.212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y3^-2, (Y2^-1, Y1^-1), Y2 * Y1^2 * Y3, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, (Y2, Y3), (Y2^-1 * R)^2, (R * Y1)^2, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2, (Y2 * Y3^-1)^4, (Y2^-1 * Y3^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 16, 40, 20, 44, 17, 41, 21, 45, 12, 36, 19, 43, 15, 39, 13, 37, 5, 29)(3, 27, 9, 33, 7, 31, 4, 28, 10, 34, 6, 30, 11, 35, 18, 42, 24, 48, 23, 47, 22, 46, 14, 38)(49, 73, 51, 75, 60, 84, 66, 90, 56, 80, 55, 79, 63, 87, 71, 95, 68, 92, 58, 82, 53, 77, 62, 86, 69, 93, 59, 83, 50, 74, 57, 81, 67, 91, 72, 96, 64, 88, 52, 76, 61, 85, 70, 94, 65, 89, 54, 78)
	L = (1, 52)(2, 58)(3, 61)(4, 50)(5, 55)(6, 64)(7, 49)(8, 54)(9, 53)(10, 56)(11, 68)(12, 70)(13, 57)(14, 63)(15, 51)(16, 59)(17, 72)(18, 65)(19, 62)(20, 66)(21, 71)(22, 67)(23, 60)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.202
Graph:: bipartite
	v = 3 e = 48 f = 9
	degree seq :: [ 24^2, 48 ]

E19.213 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y2^2, (R * Y2)^2, (Y3, Y1), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y3^-1), Y3^-1 * Y1^-1 * Y3^-2 * Y2^-1, Y1 * Y3^-1 * Y2 * Y1^2, Y3 * Y1^-1 * Y3^3 * Y1^-1, (Y2^-1 * Y3)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 16, 40, 12, 36, 21, 45, 23, 47, 14, 38, 20, 44, 13, 37, 17, 41, 5, 29)(3, 27, 9, 33, 15, 39, 4, 28, 10, 34, 22, 46, 24, 48, 19, 43, 7, 31, 11, 35, 18, 42, 6, 30)(49, 73, 51, 75, 50, 74, 57, 81, 56, 80, 63, 87, 64, 88, 52, 76, 60, 84, 58, 82, 69, 93, 70, 94, 71, 95, 72, 96, 62, 86, 67, 91, 68, 92, 55, 79, 61, 85, 59, 83, 65, 89, 66, 90, 53, 77, 54, 78)
	L = (1, 52)(2, 58)(3, 60)(4, 62)(5, 63)(6, 64)(7, 49)(8, 70)(9, 69)(10, 68)(11, 50)(12, 67)(13, 51)(14, 66)(15, 71)(16, 72)(17, 57)(18, 56)(19, 53)(20, 54)(21, 55)(22, 61)(23, 59)(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, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.199
Graph:: bipartite
	v = 3 e = 48 f = 9
	degree seq :: [ 24^2, 48 ]

E19.214 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y3, Y1^-1 * Y3^2, (Y1^-1, Y2^-1), (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^3 * Y3 * Y1, Y1 * Y2^-1 * Y1 * Y3 * Y1, Y1^2 * Y3 * Y2^-1 * Y1, Y2^2 * Y1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 15, 39, 13, 37, 20, 44, 23, 47, 12, 36, 21, 45, 16, 40, 17, 41, 5, 29)(3, 27, 9, 33, 22, 46, 24, 48, 18, 42, 6, 30, 11, 35, 19, 43, 7, 31, 4, 28, 10, 34, 14, 38)(49, 73, 51, 75, 60, 84, 67, 91, 56, 80, 70, 94, 64, 88, 52, 76, 61, 85, 66, 90, 53, 77, 62, 86, 71, 95, 59, 83, 50, 74, 57, 81, 69, 93, 55, 79, 63, 87, 72, 96, 65, 89, 58, 82, 68, 92, 54, 78)
	L = (1, 52)(2, 58)(3, 61)(4, 50)(5, 55)(6, 64)(7, 49)(8, 62)(9, 68)(10, 56)(11, 65)(12, 66)(13, 57)(14, 63)(15, 51)(16, 59)(17, 67)(18, 69)(19, 53)(20, 70)(21, 54)(22, 71)(23, 72)(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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.201
Graph:: bipartite
	v = 3 e = 48 f = 9
	degree seq :: [ 24^2, 48 ]

E19.215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y1^-1 * Y2^-3, (R * Y2)^2, (Y1, Y2^-1), (R * Y1)^2, (Y3^-1, Y1), (R * Y3)^2, Y1^4, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 19, 43, 14, 38)(4, 28, 10, 34, 20, 44, 16, 40)(6, 30, 11, 35, 21, 45, 13, 37)(7, 31, 12, 36, 22, 46, 18, 42)(15, 39, 17, 41, 23, 47, 24, 48)(49, 73, 51, 75, 61, 85, 53, 77, 62, 86, 69, 93, 56, 80, 67, 91, 59, 83, 50, 74, 57, 81, 54, 78)(52, 76, 55, 79, 63, 87, 64, 88, 66, 90, 72, 96, 68, 92, 70, 94, 71, 95, 58, 82, 60, 84, 65, 89)
	L = (1, 52)(2, 58)(3, 55)(4, 54)(5, 64)(6, 65)(7, 49)(8, 68)(9, 60)(10, 59)(11, 71)(12, 50)(13, 63)(14, 66)(15, 51)(16, 61)(17, 57)(18, 53)(19, 70)(20, 69)(21, 72)(22, 56)(23, 67)(24, 62)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.220
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 8^6, 24^2 ]

E19.216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, (Y3^-1, Y1), Y2^-3 * Y1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, (Y1^-2 * Y2)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 19, 43, 13, 37)(4, 28, 10, 34, 20, 44, 15, 39)(6, 30, 11, 35, 21, 45, 17, 41)(7, 31, 12, 36, 22, 46, 18, 42)(14, 38, 23, 47, 24, 48, 16, 40)(49, 73, 51, 75, 59, 83, 50, 74, 57, 81, 69, 93, 56, 80, 67, 91, 65, 89, 53, 77, 61, 85, 54, 78)(52, 76, 55, 79, 62, 86, 58, 82, 60, 84, 71, 95, 68, 92, 70, 94, 72, 96, 63, 87, 66, 90, 64, 88)
	L = (1, 52)(2, 58)(3, 55)(4, 54)(5, 63)(6, 64)(7, 49)(8, 68)(9, 60)(10, 59)(11, 62)(12, 50)(13, 66)(14, 51)(15, 65)(16, 61)(17, 72)(18, 53)(19, 70)(20, 69)(21, 71)(22, 56)(23, 57)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.219
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 8^6, 24^2 ]

E19.217 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y2^-3, (Y2^-1, Y1), (Y1, Y3), (Y3^-1, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^4, Y3 * Y1 * Y3 * Y1 * Y2, Y2^-1 * Y1^2 * Y3^-2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 22, 46, 15, 39)(4, 28, 10, 34, 21, 45, 18, 42)(6, 30, 11, 35, 17, 41, 13, 37)(7, 31, 12, 36, 14, 38, 20, 44)(16, 40, 23, 47, 24, 48, 19, 43)(49, 73, 51, 75, 61, 85, 53, 77, 63, 87, 65, 89, 56, 80, 70, 94, 59, 83, 50, 74, 57, 81, 54, 78)(52, 76, 62, 86, 72, 96, 66, 90, 60, 84, 71, 95, 69, 93, 55, 79, 64, 88, 58, 82, 68, 92, 67, 91)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 66)(6, 67)(7, 49)(8, 69)(9, 68)(10, 61)(11, 64)(12, 50)(13, 72)(14, 56)(15, 60)(16, 51)(17, 71)(18, 59)(19, 63)(20, 53)(21, 54)(22, 55)(23, 57)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48 ), ( 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 E19.222
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 8^6, 24^2 ]

E19.218 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y2^-3, (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y1^-1), Y1^4, Y3^-1 * Y2^2 * Y1 * Y3^-1, Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1 * Y3^2 * Y2 * Y1, Y3^-24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 22, 46, 14, 38)(4, 28, 10, 34, 21, 45, 17, 41)(6, 30, 11, 35, 16, 40, 19, 43)(7, 31, 12, 36, 13, 37, 20, 44)(15, 39, 18, 42, 23, 47, 24, 48)(49, 73, 51, 75, 59, 83, 50, 74, 57, 81, 64, 88, 56, 80, 70, 94, 67, 91, 53, 77, 62, 86, 54, 78)(52, 76, 61, 85, 71, 95, 58, 82, 68, 92, 72, 96, 69, 93, 55, 79, 63, 87, 65, 89, 60, 84, 66, 90)
	L = (1, 52)(2, 58)(3, 61)(4, 64)(5, 65)(6, 66)(7, 49)(8, 69)(9, 68)(10, 67)(11, 71)(12, 50)(13, 56)(14, 60)(15, 51)(16, 72)(17, 59)(18, 57)(19, 63)(20, 53)(21, 54)(22, 55)(23, 70)(24, 62)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.221
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 8^6, 24^2 ]

E19.219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3 * Y1^-1, (Y2^-1 * R)^2, (Y1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y2^2 * Y3 * Y1 * Y3 * Y2, Y1^-2 * Y2^-3 * Y3^-1, Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y1^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 14, 38, 22, 46, 19, 43, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 13, 37, 18, 42, 24, 48, 21, 45, 10, 34)(5, 29, 8, 32, 16, 40, 23, 47, 20, 44, 9, 33, 17, 41, 12, 36)(49, 73, 51, 75, 57, 81, 67, 91, 72, 96, 64, 88, 54, 78, 63, 87, 60, 84, 52, 76, 58, 82, 68, 92, 70, 94, 66, 90, 56, 80, 50, 74, 55, 79, 65, 89, 59, 83, 69, 93, 71, 95, 62, 86, 61, 85, 53, 77)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 70)(15, 61)(16, 71)(17, 60)(18, 72)(19, 59)(20, 57)(21, 58)(22, 67)(23, 68)(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) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.216
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 16^3, 48 ]

E19.220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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), Y1^2 * Y3^-2, Y2^-2 * Y1 * Y2^-1, Y1^-2 * Y3^-1 * Y1^-1, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 7, 31, 12, 36, 4, 28, 10, 34, 5, 29)(3, 27, 9, 33, 19, 43, 15, 39, 22, 46, 13, 37, 21, 45, 14, 38)(6, 30, 11, 35, 20, 44, 18, 42, 24, 48, 16, 40, 23, 47, 17, 41)(49, 73, 51, 75, 59, 83, 50, 74, 57, 81, 68, 92, 56, 80, 67, 91, 66, 90, 55, 79, 63, 87, 72, 96, 60, 84, 70, 94, 64, 88, 52, 76, 61, 85, 71, 95, 58, 82, 69, 93, 65, 89, 53, 77, 62, 86, 54, 78)
	L = (1, 52)(2, 58)(3, 61)(4, 56)(5, 60)(6, 64)(7, 49)(8, 53)(9, 69)(10, 55)(11, 71)(12, 50)(13, 67)(14, 70)(15, 51)(16, 68)(17, 72)(18, 54)(19, 62)(20, 65)(21, 63)(22, 57)(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) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.215
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 16^3, 48 ]

E19.221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y2^-3, Y3 * Y1 * Y3^2, Y3^2 * Y1^-2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1, Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^2, Y1^-1 * Y2^2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 7, 31, 12, 36, 4, 28, 10, 34, 5, 29)(3, 27, 9, 33, 19, 43, 16, 40, 23, 47, 14, 38, 22, 46, 15, 39)(6, 30, 11, 35, 20, 44, 18, 42, 24, 48, 13, 37, 21, 45, 17, 41)(49, 73, 51, 75, 61, 85, 52, 76, 62, 86, 68, 92, 56, 80, 67, 91, 65, 89, 53, 77, 63, 87, 72, 96, 60, 84, 71, 95, 59, 83, 50, 74, 57, 81, 69, 93, 58, 82, 70, 94, 66, 90, 55, 79, 64, 88, 54, 78)
	L = (1, 52)(2, 58)(3, 62)(4, 56)(5, 60)(6, 61)(7, 49)(8, 53)(9, 70)(10, 55)(11, 69)(12, 50)(13, 68)(14, 67)(15, 71)(16, 51)(17, 72)(18, 54)(19, 63)(20, 65)(21, 66)(22, 64)(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) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.218
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 16^3, 48 ]

E19.222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y1^-1 * Y2^3, (Y1, Y2^-1), (R * Y3)^2, (Y2^-1 * R)^2, (R * Y1)^2, Y1^8, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 12, 36, 18, 42, 16, 40, 10, 34, 4, 28)(3, 27, 7, 31, 13, 37, 19, 43, 23, 47, 21, 45, 15, 39, 9, 33)(5, 29, 8, 32, 14, 38, 20, 44, 24, 48, 22, 46, 17, 41, 11, 35)(49, 73, 51, 75, 56, 80, 50, 74, 55, 79, 62, 86, 54, 78, 61, 85, 68, 92, 60, 84, 67, 91, 72, 96, 66, 90, 71, 95, 70, 94, 64, 88, 69, 93, 65, 89, 58, 82, 63, 87, 59, 83, 52, 76, 57, 81, 53, 77)
	L = (1, 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, 64)(19, 71)(20, 72)(21, 63)(22, 65)(23, 69)(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, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.217
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 16^3, 48 ]

E19.223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y3^-1, Y3 * Y1^-1 * Y3, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^6, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 16, 40, 13, 37, 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, 14, 38)(49, 73, 51, 75, 52, 76, 59, 83, 50, 74, 57, 81, 58, 82, 67, 91, 56, 80, 65, 89, 66, 90, 72, 96, 64, 88, 71, 95, 70, 94, 69, 93, 61, 85, 68, 92, 63, 87, 62, 86, 53, 77, 60, 84, 55, 79, 54, 78)
	L = (1, 52)(2, 58)(3, 59)(4, 50)(5, 55)(6, 51)(7, 49)(8, 66)(9, 67)(10, 56)(11, 57)(12, 54)(13, 63)(14, 60)(15, 53)(16, 70)(17, 72)(18, 64)(19, 65)(20, 62)(21, 68)(22, 61)(23, 69)(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, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.225
Graph:: bipartite
	v = 5 e = 48 f = 7
	degree seq :: [ 12^4, 48 ]

E19.224 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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^-1 * Y3^2, (Y2, Y3), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y1^-1, Y2^-1), Y1 * Y2^-4, Y2^-2 * Y1^-1 * Y3^-1 * Y1^-1, (Y2^2 * Y3^-1)^2, Y1^6, 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 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 22, 46, 17, 41, 5, 29)(3, 27, 9, 33, 21, 45, 16, 40, 24, 48, 14, 38)(4, 28, 10, 34, 20, 44, 12, 36, 19, 43, 7, 31)(6, 30, 11, 35, 23, 47, 15, 39, 13, 37, 18, 42)(49, 73, 51, 75, 60, 84, 59, 83, 50, 74, 57, 81, 67, 91, 71, 95, 56, 80, 69, 93, 55, 79, 63, 87, 70, 94, 64, 88, 52, 76, 61, 85, 65, 89, 72, 96, 58, 82, 66, 90, 53, 77, 62, 86, 68, 92, 54, 78)
	L = (1, 52)(2, 58)(3, 61)(4, 50)(5, 55)(6, 64)(7, 49)(8, 68)(9, 66)(10, 56)(11, 72)(12, 65)(13, 57)(14, 63)(15, 51)(16, 59)(17, 67)(18, 69)(19, 53)(20, 70)(21, 54)(22, 60)(23, 62)(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, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.226
Graph:: bipartite
	v = 5 e = 48 f = 7
	degree seq :: [ 12^4, 48 ]

E19.225 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3, Y3^-2 * Y2 * Y3^-1, (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y2^4, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 16, 40, 17, 41, 6, 30, 9, 33, 18, 42, 20, 44, 21, 45, 22, 46, 11, 35, 19, 43, 23, 47, 24, 48, 12, 36, 13, 37, 3, 27, 8, 32, 14, 38, 15, 39, 4, 28, 5, 29)(49, 73, 51, 75, 59, 83, 54, 78)(50, 74, 56, 80, 67, 91, 57, 81)(52, 76, 60, 84, 69, 93, 64, 88)(53, 77, 61, 85, 70, 94, 65, 89)(55, 79, 62, 86, 71, 95, 66, 90)(58, 82, 63, 87, 72, 96, 68, 92)
	L = (1, 52)(2, 53)(3, 60)(4, 62)(5, 63)(6, 64)(7, 49)(8, 61)(9, 65)(10, 50)(11, 69)(12, 71)(13, 72)(14, 51)(15, 56)(16, 55)(17, 58)(18, 54)(19, 70)(20, 57)(21, 66)(22, 68)(23, 59)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 48, 12, 48, 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.223
Graph:: bipartite
	v = 7 e = 48 f = 5
	degree seq :: [ 8^6, 48 ]

E19.226 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y3^-3, (Y2^-1, Y3^-1), (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y2), (R * Y2)^2, Y2^4, Y2 * Y1 * Y2 * Y3 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, Y3 * Y1^2 * Y2^-2, Y1^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 23, 47, 18, 42, 15, 39, 3, 27, 9, 33, 22, 46, 17, 41, 4, 28, 10, 34, 13, 37, 21, 45, 7, 31, 12, 36, 14, 38, 20, 44, 6, 30, 11, 35, 16, 40, 24, 48, 19, 43, 5, 29)(49, 73, 51, 75, 61, 85, 54, 78)(50, 74, 57, 81, 69, 93, 59, 83)(52, 76, 62, 86, 67, 91, 66, 90)(53, 77, 63, 87, 58, 82, 68, 92)(55, 79, 64, 88, 56, 80, 70, 94)(60, 84, 72, 96, 71, 95, 65, 89)
	L = (1, 52)(2, 58)(3, 62)(4, 64)(5, 65)(6, 66)(7, 49)(8, 61)(9, 68)(10, 72)(11, 63)(12, 50)(13, 67)(14, 56)(15, 60)(16, 51)(17, 59)(18, 55)(19, 70)(20, 71)(21, 53)(22, 54)(23, 69)(24, 57)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 48, 12, 48, 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.224
Graph:: bipartite
	v = 7 e = 48 f = 5
	degree seq :: [ 8^6, 48 ]

E19.227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-3, Y1^3, (Y1^-1, Y2^-1), (Y3, Y2^-1), (R * Y3)^2, Y1 * Y3^-2 * Y2, Y1^-1 * Y3^2 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y1, (R * Y2)^2, (R * Y1)^2, Y1 * Y2^4, Y3 * Y2 * Y3 * Y2^2, (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, 18, 42, 21, 45)(13, 37, 20, 44, 23, 47)(19, 43, 22, 46, 24, 48)(49, 73, 51, 75, 60, 84, 64, 88, 53, 77, 62, 86, 69, 93, 58, 82, 50, 74, 56, 80, 66, 90, 54, 78)(52, 76, 61, 85, 67, 91, 55, 79, 63, 87, 71, 95, 72, 96, 65, 89, 57, 81, 68, 92, 70, 94, 59, 83)
	L = (1, 52)(2, 57)(3, 61)(4, 56)(5, 63)(6, 59)(7, 49)(8, 68)(9, 62)(10, 65)(11, 50)(12, 67)(13, 66)(14, 71)(15, 51)(16, 55)(17, 53)(18, 70)(19, 54)(20, 69)(21, 72)(22, 58)(23, 60)(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) :: { ( 48^6 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E19.242
Graph:: bipartite
	v = 10 e = 48 f = 2
	degree seq :: [ 6^8, 24^2 ]

E19.228 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3^-1, Y1^-1), Y1 * Y3 * Y2 * Y3, Y3 * Y1 * Y2 * Y3, Y3^-2 * Y1^-1 * Y2^-1, (Y3^-1, Y2^-1), (Y2^-1 * R)^2, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y2^3, (Y2^2 * Y1^-1)^2, (Y1^-1 * Y2^-1 * Y1 * Y2^-1)^6 ]
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, 16, 40)(7, 31, 11, 35, 13, 37)(12, 36, 19, 43, 22, 46)(15, 39, 20, 44, 23, 47)(18, 42, 21, 45, 24, 48)(49, 73, 51, 75, 60, 84, 64, 88, 53, 77, 62, 86, 70, 94, 58, 82, 50, 74, 56, 80, 67, 91, 54, 78)(52, 76, 61, 85, 71, 95, 72, 96, 65, 89, 59, 83, 68, 92, 69, 93, 57, 81, 55, 79, 63, 87, 66, 90)
	L = (1, 52)(2, 57)(3, 61)(4, 64)(5, 65)(6, 66)(7, 49)(8, 55)(9, 54)(10, 69)(11, 50)(12, 71)(13, 53)(14, 59)(15, 51)(16, 72)(17, 58)(18, 60)(19, 63)(20, 56)(21, 67)(22, 68)(23, 62)(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) :: { ( 48^6 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E19.241
Graph:: bipartite
	v = 10 e = 48 f = 2
	degree seq :: [ 6^8, 24^2 ]

E19.229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, Y3 * Y1^-3, (Y3, Y1^-1), (Y2^-1, Y3^-1), (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y2)^2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y3)^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 4, 28, 9, 33, 19, 43, 15, 39, 20, 44, 17, 41, 7, 31, 11, 35, 5, 29)(3, 27, 6, 30, 10, 34, 12, 36, 16, 40, 21, 45, 22, 46, 24, 48, 23, 47, 14, 38, 18, 42, 13, 37)(49, 73, 51, 75, 53, 77, 61, 85, 59, 83, 66, 90, 55, 79, 62, 86, 65, 89, 71, 95, 68, 92, 72, 96, 63, 87, 70, 94, 67, 91, 69, 93, 57, 81, 64, 88, 52, 76, 60, 84, 56, 80, 58, 82, 50, 74, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 63)(5, 56)(6, 64)(7, 49)(8, 67)(9, 68)(10, 69)(11, 50)(12, 70)(13, 58)(14, 51)(15, 55)(16, 72)(17, 53)(18, 54)(19, 65)(20, 59)(21, 71)(22, 62)(23, 61)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.238
Graph:: bipartite
	v = 3 e = 48 f = 9
	degree seq :: [ 24^2, 48 ]

E19.230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-3, (Y2^-1, Y1), (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2), (R * Y3)^2, (Y1, Y3^-1), Y3^4, Y3 * Y1^2 * Y2^2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y1 * Y3 * Y2 * Y1, Y3 * Y2 * Y1^-1 * Y3 * Y2, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 4, 28, 10, 34, 21, 45, 17, 41, 13, 37, 20, 44, 7, 31, 12, 36, 5, 29)(3, 27, 9, 33, 22, 46, 14, 38, 19, 43, 6, 30, 11, 35, 23, 47, 18, 42, 16, 40, 24, 48, 15, 39)(49, 73, 51, 75, 61, 85, 71, 95, 56, 80, 70, 94, 55, 79, 64, 88, 58, 82, 67, 91, 53, 77, 63, 87, 65, 89, 59, 83, 50, 74, 57, 81, 68, 92, 66, 90, 52, 76, 62, 86, 60, 84, 72, 96, 69, 93, 54, 78)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 56)(6, 66)(7, 49)(8, 69)(9, 67)(10, 61)(11, 64)(12, 50)(13, 60)(14, 59)(15, 70)(16, 51)(17, 55)(18, 63)(19, 71)(20, 53)(21, 68)(22, 54)(23, 72)(24, 57)(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, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.236
Graph:: bipartite
	v = 3 e = 48 f = 9
	degree seq :: [ 24^2, 48 ]

E19.231 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y1 * Y3^-1 * Y1^2, (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^4, (Y3^-1 * Y1^-1)^3, (Y3^2 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 4, 28, 10, 34, 19, 43, 14, 38, 21, 45, 17, 41, 7, 31, 11, 35, 5, 29)(3, 27, 9, 33, 15, 39, 12, 36, 20, 44, 23, 47, 22, 46, 24, 48, 18, 42, 13, 37, 16, 40, 6, 30)(49, 73, 51, 75, 50, 74, 57, 81, 56, 80, 63, 87, 52, 76, 60, 84, 58, 82, 68, 92, 67, 91, 71, 95, 62, 86, 70, 94, 69, 93, 72, 96, 65, 89, 66, 90, 55, 79, 61, 85, 59, 83, 64, 88, 53, 77, 54, 78)
	L = (1, 52)(2, 58)(3, 60)(4, 62)(5, 56)(6, 63)(7, 49)(8, 67)(9, 68)(10, 69)(11, 50)(12, 70)(13, 51)(14, 55)(15, 71)(16, 57)(17, 53)(18, 54)(19, 65)(20, 72)(21, 59)(22, 61)(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) :: { ( 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, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.237
Graph:: bipartite
	v = 3 e = 48 f = 9
	degree seq :: [ 24^2, 48 ]

E19.232 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1 * Y1, (Y1^-1, Y2), (Y2, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^4, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y2 * Y3 * Y2 * Y3 * Y1, Y1^-1 * Y3^2 * Y2^-2, Y2^-1 * Y1 * Y3 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^3, Y2^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 4, 28, 10, 34, 13, 37, 17, 41, 21, 45, 20, 44, 7, 31, 12, 36, 5, 29)(3, 27, 9, 33, 23, 47, 14, 38, 22, 46, 24, 48, 19, 43, 6, 30, 11, 35, 16, 40, 18, 42, 15, 39)(49, 73, 51, 75, 61, 85, 72, 96, 60, 84, 66, 90, 52, 76, 62, 86, 68, 92, 59, 83, 50, 74, 57, 81, 65, 89, 67, 91, 53, 77, 63, 87, 58, 82, 70, 94, 55, 79, 64, 88, 56, 80, 71, 95, 69, 93, 54, 78)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 56)(6, 66)(7, 49)(8, 61)(9, 70)(10, 69)(11, 63)(12, 50)(13, 68)(14, 67)(15, 71)(16, 51)(17, 55)(18, 57)(19, 64)(20, 53)(21, 60)(22, 54)(23, 72)(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, 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 E19.235
Graph:: bipartite
	v = 3 e = 48 f = 9
	degree seq :: [ 24^2, 48 ]

E19.233 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y3 * Y1^-2 * Y3, (Y3 * Y1^-1)^2, (Y3, Y1^-1), (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 17, 41, 7, 31, 12, 36, 4, 28, 10, 34, 21, 45, 15, 39, 5, 29)(3, 27, 9, 33, 20, 44, 23, 47, 16, 40, 6, 30, 11, 35, 13, 37, 22, 46, 24, 48, 18, 42, 14, 38)(49, 73, 51, 75, 52, 76, 61, 85, 56, 80, 68, 92, 69, 93, 72, 96, 65, 89, 64, 88, 53, 77, 62, 86, 60, 84, 59, 83, 50, 74, 57, 81, 58, 82, 70, 94, 67, 91, 71, 95, 63, 87, 66, 90, 55, 79, 54, 78)
	L = (1, 52)(2, 58)(3, 61)(4, 56)(5, 60)(6, 51)(7, 49)(8, 69)(9, 70)(10, 67)(11, 57)(12, 50)(13, 68)(14, 59)(15, 55)(16, 62)(17, 53)(18, 54)(19, 63)(20, 72)(21, 65)(22, 71)(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) :: { ( 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, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.239
Graph:: bipartite
	v = 3 e = 48 f = 9
	degree seq :: [ 24^2, 48 ]

E19.234 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, (Y3^-1, Y1), (Y3^-1, Y2^-1), (Y1^-1 * Y3)^2, (R * Y1)^2, Y1^2 * Y3^-2, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^3, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 17, 41, 7, 31, 11, 35, 4, 28, 10, 34, 21, 45, 15, 39, 5, 29)(3, 27, 9, 33, 20, 44, 24, 48, 18, 42, 13, 37, 14, 38, 12, 36, 22, 46, 23, 47, 16, 40, 6, 30)(49, 73, 51, 75, 50, 74, 57, 81, 56, 80, 68, 92, 67, 91, 72, 96, 65, 89, 66, 90, 55, 79, 61, 85, 59, 83, 62, 86, 52, 76, 60, 84, 58, 82, 70, 94, 69, 93, 71, 95, 63, 87, 64, 88, 53, 77, 54, 78)
	L = (1, 52)(2, 58)(3, 60)(4, 56)(5, 59)(6, 62)(7, 49)(8, 69)(9, 70)(10, 67)(11, 50)(12, 68)(13, 51)(14, 57)(15, 55)(16, 61)(17, 53)(18, 54)(19, 63)(20, 71)(21, 65)(22, 72)(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) :: { ( 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, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.240
Graph:: bipartite
	v = 3 e = 48 f = 9
	degree seq :: [ 24^2, 48 ]

E19.235 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y3, Y2), (Y3, Y1), (R * Y2)^2, Y3 * Y2^-1 * Y1^-2, Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3^4, Y1^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 23, 47, 17, 41, 7, 31, 12, 36, 6, 30, 11, 35, 13, 37, 21, 45, 16, 40, 22, 46, 18, 42, 14, 38, 3, 27, 9, 33, 4, 28, 10, 34, 20, 44, 24, 48, 15, 39, 5, 29)(49, 73, 51, 75, 54, 78)(50, 74, 57, 81, 59, 83)(52, 76, 61, 85, 56, 80)(53, 77, 62, 86, 60, 84)(55, 79, 63, 87, 66, 90)(58, 82, 69, 93, 67, 91)(64, 88, 71, 95, 68, 92)(65, 89, 72, 96, 70, 94)
	L = (1, 52)(2, 58)(3, 61)(4, 64)(5, 57)(6, 56)(7, 49)(8, 68)(9, 69)(10, 70)(11, 67)(12, 50)(13, 71)(14, 59)(15, 51)(16, 55)(17, 53)(18, 54)(19, 72)(20, 66)(21, 65)(22, 60)(23, 63)(24, 62)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.232
Graph:: bipartite
	v = 9 e = 48 f = 3
	degree seq :: [ 6^8, 48 ]

E19.236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^-1 * Y3 * Y1^2, Y3^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, Y1^-1 * Y2 * Y3^-1 * Y1^-1, (R * Y3)^2, (Y3^-1, Y1), (Y2^-1, Y1^-1), (R * Y2)^2, Y3^4, Y2 * Y1 * Y3 * Y2 * Y1, Y1^12 * Y3^-2, Y3 * Y2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y2, Y3^-2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 23, 47, 15, 39, 4, 28, 10, 34, 3, 27, 9, 33, 18, 42, 22, 46, 14, 38, 21, 45, 13, 37, 17, 41, 6, 30, 11, 35, 7, 31, 12, 36, 20, 44, 24, 48, 16, 40, 5, 29)(49, 73, 51, 75, 54, 78)(50, 74, 57, 81, 59, 83)(52, 76, 61, 85, 64, 88)(53, 77, 58, 82, 65, 89)(55, 79, 56, 80, 66, 90)(60, 84, 67, 91, 70, 94)(62, 86, 68, 92, 71, 95)(63, 87, 69, 93, 72, 96)
	L = (1, 52)(2, 58)(3, 61)(4, 62)(5, 63)(6, 64)(7, 49)(8, 51)(9, 65)(10, 69)(11, 53)(12, 50)(13, 68)(14, 55)(15, 70)(16, 71)(17, 72)(18, 54)(19, 57)(20, 56)(21, 60)(22, 59)(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) :: { ( 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.230
Graph:: bipartite
	v = 9 e = 48 f = 3
	degree seq :: [ 6^8, 48 ]

E19.237 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y3^-1, Y2), Y1^-1 * Y3 * Y2 * Y1^-1, (Y1, Y3^-1), Y3 * Y1^-1 * Y2 * Y1^-1, (Y2^-1 * R)^2, (R * Y1)^2, (Y1, Y2^-1), (R * Y3)^2, Y3^4, Y3^-1 * Y2 * Y1^2 * Y2, Y3^-1 * Y2 * Y1^-1 * Y3^-2 * Y1^-1, Y3^2 * Y2^-1 * Y1^20 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 23, 47, 18, 42, 7, 31, 12, 36, 3, 27, 9, 33, 15, 39, 22, 46, 14, 38, 21, 45, 13, 37, 17, 41, 6, 30, 11, 35, 4, 28, 10, 34, 20, 44, 24, 48, 16, 40, 5, 29)(49, 73, 51, 75, 54, 78)(50, 74, 57, 81, 59, 83)(52, 76, 56, 80, 63, 87)(53, 77, 60, 84, 65, 89)(55, 79, 61, 85, 64, 88)(58, 82, 67, 91, 70, 94)(62, 86, 68, 92, 71, 95)(66, 90, 69, 93, 72, 96)
	L = (1, 52)(2, 58)(3, 56)(4, 62)(5, 59)(6, 63)(7, 49)(8, 68)(9, 67)(10, 69)(11, 70)(12, 50)(13, 51)(14, 55)(15, 71)(16, 54)(17, 57)(18, 53)(19, 72)(20, 61)(21, 60)(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, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.231
Graph:: bipartite
	v = 9 e = 48 f = 3
	degree seq :: [ 6^8, 48 ]

E19.238 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^-1 * Y3^-1 * Y1^-2, Y3 * Y1^2 * Y2, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, (Y3^-1, Y1), Y3^4, Y1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y1^-2 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 23, 47, 17, 41, 4, 28, 10, 34, 6, 30, 11, 35, 15, 39, 21, 45, 16, 40, 22, 46, 18, 42, 14, 38, 3, 27, 9, 33, 7, 31, 12, 36, 20, 44, 24, 48, 13, 37, 5, 29)(49, 73, 51, 75, 54, 78)(50, 74, 57, 81, 59, 83)(52, 76, 61, 85, 66, 90)(53, 77, 62, 86, 58, 82)(55, 79, 63, 87, 56, 80)(60, 84, 69, 93, 67, 91)(64, 88, 71, 95, 68, 92)(65, 89, 72, 96, 70, 94)
	L = (1, 52)(2, 58)(3, 61)(4, 64)(5, 65)(6, 66)(7, 49)(8, 54)(9, 53)(10, 70)(11, 62)(12, 50)(13, 71)(14, 72)(15, 51)(16, 55)(17, 69)(18, 68)(19, 59)(20, 56)(21, 57)(22, 60)(23, 63)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.229
Graph:: bipartite
	v = 9 e = 48 f = 3
	degree seq :: [ 6^8, 48 ]

E19.239 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^-1 * Y1^-2, (R * Y2)^2, (Y1^-1, Y2^-1), (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, Y2 * Y3^4, Y3 * Y2 * Y1^-1 * Y3^2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 19, 43, 22, 46, 11, 35, 12, 36, 3, 27, 8, 32, 13, 37, 20, 44, 23, 47, 24, 48, 16, 40, 17, 41, 6, 30, 9, 33, 18, 42, 21, 45, 14, 38, 15, 39, 4, 28, 5, 29)(49, 73, 51, 75, 54, 78)(50, 74, 56, 80, 57, 81)(52, 76, 59, 83, 64, 88)(53, 77, 60, 84, 65, 89)(55, 79, 61, 85, 66, 90)(58, 82, 68, 92, 69, 93)(62, 86, 67, 91, 71, 95)(63, 87, 70, 94, 72, 96)
	L = (1, 52)(2, 53)(3, 59)(4, 62)(5, 63)(6, 64)(7, 49)(8, 60)(9, 65)(10, 50)(11, 67)(12, 70)(13, 51)(14, 66)(15, 69)(16, 71)(17, 72)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(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) :: { ( 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.233
Graph:: bipartite
	v = 9 e = 48 f = 3
	degree seq :: [ 6^8, 48 ]

E19.240 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y1, Y3^-1), Y1^-2 * Y2^-1 * Y3, (Y3, Y2^-1), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y3^-1 * Y1, (R * Y3)^2, Y3^4 * Y2, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y2 * Y1^-1 * Y3^-2 * Y1^-1, Y1^6 * Y2 * Y3, Y1^18 * Y2^-1 * Y3^-1, (Y2^-1 * Y3)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 20, 44, 19, 43, 24, 48, 18, 42, 14, 38, 3, 27, 9, 33, 4, 28, 10, 34, 21, 45, 17, 41, 7, 31, 12, 36, 6, 30, 11, 35, 13, 37, 22, 46, 16, 40, 23, 47, 15, 39, 5, 29)(49, 73, 51, 75, 54, 78)(50, 74, 57, 81, 59, 83)(52, 76, 61, 85, 56, 80)(53, 77, 62, 86, 60, 84)(55, 79, 63, 87, 66, 90)(58, 82, 70, 94, 68, 92)(64, 88, 67, 91, 69, 93)(65, 89, 71, 95, 72, 96)
	L = (1, 52)(2, 58)(3, 61)(4, 64)(5, 57)(6, 56)(7, 49)(8, 69)(9, 70)(10, 71)(11, 68)(12, 50)(13, 67)(14, 59)(15, 51)(16, 66)(17, 53)(18, 54)(19, 55)(20, 65)(21, 63)(22, 72)(23, 62)(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) :: { ( 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.234
Graph:: bipartite
	v = 9 e = 48 f = 3
	degree seq :: [ 6^8, 48 ]

E19.241 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1 * Y1^2, (Y2, Y1^-1), (Y3, Y1^-1), Y1^-2 * Y3^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-2, (R * Y3)^2, Y3^-1 * Y1^2 * Y2^-1, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3 * Y1^-1 * Y2, Y2^-2 * Y3 * Y1^-1 * Y2^-2, (Y3 * Y2^-1)^3, (Y1 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 7, 31, 12, 36, 3, 27, 9, 33, 18, 42, 14, 38, 20, 44, 13, 37, 19, 43, 24, 48, 23, 47, 17, 41, 22, 46, 16, 40, 21, 45, 15, 39, 6, 30, 11, 35, 4, 28, 10, 34, 5, 29)(49, 73, 51, 75, 61, 85, 70, 94, 59, 83, 50, 74, 57, 81, 67, 91, 64, 88, 52, 76, 56, 80, 66, 90, 72, 96, 69, 93, 58, 82, 55, 79, 62, 86, 71, 95, 63, 87, 53, 77, 60, 84, 68, 92, 65, 89, 54, 78)
	L = (1, 52)(2, 58)(3, 56)(4, 63)(5, 59)(6, 64)(7, 49)(8, 53)(9, 55)(10, 54)(11, 69)(12, 50)(13, 66)(14, 51)(15, 70)(16, 71)(17, 67)(18, 60)(19, 62)(20, 57)(21, 65)(22, 72)(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) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 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 E19.228
Graph:: bipartite
	v = 2 e = 48 f = 10
	degree seq :: [ 48^2 ]

E19.242 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), Y3 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y2^2 * Y1^-1, (R * Y1)^2, Y2^-1 * Y1 * Y3^-1 * Y1, (Y3, Y1^-1), Y2^-1 * Y3^-1 * Y1^2, Y3^-2 * Y2 * Y1, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-4, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 16, 40, 22, 46, 20, 44, 14, 38, 6, 30, 11, 35, 4, 28, 10, 34, 18, 42, 24, 48, 21, 45, 15, 39, 7, 31, 12, 36, 3, 27, 9, 33, 17, 41, 23, 47, 19, 43, 13, 37, 5, 29)(49, 73, 51, 75, 58, 82, 64, 88, 71, 95, 69, 93, 62, 86, 53, 77, 60, 84, 52, 76, 56, 80, 65, 89, 72, 96, 68, 92, 61, 85, 55, 79, 59, 83, 50, 74, 57, 81, 66, 90, 70, 94, 67, 91, 63, 87, 54, 78)
	L = (1, 52)(2, 58)(3, 56)(4, 57)(5, 59)(6, 60)(7, 49)(8, 66)(9, 64)(10, 65)(11, 51)(12, 50)(13, 54)(14, 55)(15, 53)(16, 72)(17, 70)(18, 71)(19, 62)(20, 63)(21, 61)(22, 69)(23, 68)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 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 E19.227
Graph:: bipartite
	v = 2 e = 48 f = 10
	degree seq :: [ 48^2 ]

E19.243 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 26, 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 * Y1 * Y2, Y2 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^6 * Y3^-7, Y2^26, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28)(3, 29, 6, 32)(4, 30, 5, 31)(7, 33, 8, 34)(9, 35, 10, 36)(11, 37, 12, 38)(13, 39, 14, 40)(15, 41, 16, 42)(17, 43, 18, 44)(19, 45, 20, 46)(21, 47, 22, 48)(23, 49, 24, 50)(25, 51, 26, 52)(53, 79, 55, 81, 59, 85, 63, 89, 67, 93, 71, 97, 75, 101, 78, 104, 73, 99, 70, 96, 65, 91, 62, 88, 56, 82, 54, 80, 58, 84, 60, 86, 64, 90, 68, 94, 72, 98, 76, 102, 77, 103, 74, 100, 69, 95, 66, 92, 61, 87, 57, 83)
	L = (1, 56)(2, 57)(3, 54)(4, 61)(5, 62)(6, 53)(7, 58)(8, 55)(9, 65)(10, 66)(11, 60)(12, 59)(13, 69)(14, 70)(15, 64)(16, 63)(17, 73)(18, 74)(19, 68)(20, 67)(21, 77)(22, 78)(23, 72)(24, 71)(25, 75)(26, 76)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^4 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E19.248
Graph:: bipartite
	v = 14 e = 52 f = 2
	degree seq :: [ 4^13, 52 ]

E19.244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 26, 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, Y1 * Y2^-1 * Y1 * Y2, Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^2 * Y2^-1 * Y3^2 * Y1 * Y3^2, (Y3 * Y2^-1)^26 ]
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, 76, 102, 77, 103, 68, 94, 69, 95, 60, 86, 61, 87, 54, 80, 59, 85, 62, 88, 67, 93, 70, 96, 75, 101, 78, 104, 72, 98, 73, 99, 64, 90, 65, 91, 56, 82, 57, 83)
	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, 75)(21, 78)(22, 66)(23, 67)(24, 71)(25, 74)(26, 70)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^4 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E19.252
Graph:: bipartite
	v = 14 e = 52 f = 2
	degree seq :: [ 4^13, 52 ]

E19.245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 26, 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, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^-3 * Y3^-1 * Y1, Y3 * Y2^-1 * Y3^3 * Y1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * 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, 17, 43)(12, 38, 16, 42)(13, 39, 19, 45)(14, 40, 20, 46)(15, 41, 21, 47)(18, 44, 22, 48)(23, 49, 26, 52)(24, 50, 25, 51)(53, 79, 55, 81, 63, 89, 62, 88, 71, 97, 78, 104, 70, 96, 72, 98, 77, 103, 67, 93, 56, 82, 64, 90, 61, 87, 54, 80, 59, 85, 69, 95, 58, 84, 65, 91, 75, 101, 74, 100, 66, 92, 76, 102, 73, 99, 60, 86, 68, 94, 57, 83)
	L = (1, 56)(2, 60)(3, 64)(4, 66)(5, 67)(6, 53)(7, 68)(8, 72)(9, 73)(10, 54)(11, 61)(12, 76)(13, 55)(14, 71)(15, 74)(16, 77)(17, 57)(18, 58)(19, 59)(20, 65)(21, 70)(22, 62)(23, 63)(24, 78)(25, 75)(26, 69)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^4 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E19.251
Graph:: bipartite
	v = 14 e = 52 f = 2
	degree seq :: [ 4^13, 52 ]

E19.246 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 26, 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, (R * Y1)^2, (Y3, Y2), (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y2^2 * Y3 * Y2^2, Y3^-1 * Y2 * Y1 * Y3^-2, Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 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, 14, 40)(15, 41, 18, 44)(16, 42, 21, 47)(17, 43, 22, 48)(23, 49, 24, 50)(25, 51, 26, 52)(53, 79, 55, 81, 63, 89, 69, 95, 58, 84, 65, 91, 75, 101, 78, 104, 70, 96, 60, 86, 72, 98, 73, 99, 61, 87, 54, 80, 59, 85, 71, 97, 74, 100, 62, 88, 66, 92, 76, 102, 77, 103, 67, 93, 56, 82, 64, 90, 68, 94, 57, 83)
	L = (1, 56)(2, 60)(3, 64)(4, 66)(5, 67)(6, 53)(7, 72)(8, 65)(9, 70)(10, 54)(11, 68)(12, 76)(13, 55)(14, 59)(15, 62)(16, 77)(17, 57)(18, 58)(19, 73)(20, 75)(21, 78)(22, 61)(23, 63)(24, 71)(25, 74)(26, 69)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 52^4 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E19.249
Graph:: bipartite
	v = 14 e = 52 f = 2
	degree seq :: [ 4^13, 52 ]

E19.247 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 26, 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, Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, (Y3, Y2^-1), Y3 * Y1 * Y3^-1 * Y1, (R * Y2)^2, Y3 * Y2 * Y3^2 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2^2 * Y1, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y2^5 * Y3 * Y1, Y2^2 * Y3^-2 * Y2^4 * 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, 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, 74, 100, 77, 103, 62, 88, 73, 99, 67, 93, 56, 82, 64, 90, 70, 96, 76, 102, 61, 87, 54, 80, 59, 85, 71, 97, 66, 92, 69, 95, 58, 84, 65, 91, 75, 101, 60, 86, 72, 98, 78, 104, 68, 94, 57, 83)
	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, 71)(16, 73)(17, 57)(18, 58)(19, 78)(20, 77)(21, 59)(22, 76)(23, 63)(24, 65)(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) :: { ( 52^4 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E19.250
Graph:: bipartite
	v = 14 e = 52 f = 2
	degree seq :: [ 4^13, 52 ]

E19.248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, (Y3, Y1^-1), (Y1, Y2^-1), Y1 * Y3^2 * Y1, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y3^-5, Y3^-2 * Y1 * Y3^-3 * Y2^-1, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y1^-12 * Y3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 19, 45, 24, 50, 13, 39, 17, 43, 6, 32, 11, 37, 20, 46, 25, 51, 16, 42, 4, 30, 10, 36, 7, 33, 12, 38, 21, 47, 23, 49, 14, 40, 3, 29, 9, 35, 18, 44, 22, 48, 26, 52, 15, 41, 5, 31)(53, 79, 55, 81, 56, 82, 65, 91, 67, 93, 75, 101, 77, 103, 71, 97, 74, 100, 64, 90, 63, 89, 54, 80, 61, 87, 62, 88, 69, 95, 57, 83, 66, 92, 68, 94, 76, 102, 78, 104, 73, 99, 72, 98, 60, 86, 70, 96, 59, 85, 58, 84)
	L = (1, 56)(2, 62)(3, 65)(4, 67)(5, 68)(6, 55)(7, 53)(8, 59)(9, 69)(10, 57)(11, 61)(12, 54)(13, 75)(14, 76)(15, 77)(16, 78)(17, 66)(18, 58)(19, 64)(20, 70)(21, 60)(22, 63)(23, 71)(24, 73)(25, 74)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 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 E19.243
Graph:: bipartite
	v = 2 e = 52 f = 14
	degree seq :: [ 52^2 ]

E19.249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (Y1, Y2), Y3^-2 * Y1^-2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-2 * Y2 * Y1 * Y3^-3, Y1^12 * Y3^-1, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 19, 45, 26, 52, 17, 43, 13, 39, 3, 29, 9, 35, 20, 46, 23, 49, 16, 42, 4, 30, 10, 36, 7, 33, 12, 38, 21, 47, 25, 51, 18, 44, 6, 32, 11, 37, 14, 40, 22, 48, 24, 50, 15, 41, 5, 31)(53, 79, 55, 81, 59, 85, 66, 92, 60, 86, 72, 98, 73, 99, 76, 102, 78, 104, 68, 94, 70, 96, 57, 83, 65, 91, 62, 88, 63, 89, 54, 80, 61, 87, 64, 90, 74, 100, 71, 97, 75, 101, 77, 103, 67, 93, 69, 95, 56, 82, 58, 84)
	L = (1, 56)(2, 62)(3, 58)(4, 67)(5, 68)(6, 69)(7, 53)(8, 59)(9, 63)(10, 57)(11, 65)(12, 54)(13, 70)(14, 55)(15, 75)(16, 76)(17, 77)(18, 78)(19, 64)(20, 66)(21, 60)(22, 61)(23, 74)(24, 72)(25, 71)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 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 E19.246
Graph:: bipartite
	v = 2 e = 52 f = 14
	degree seq :: [ 52^2 ]

E19.250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-3 * Y1^-1, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, (Y1^-1, Y3^-1), (Y2, Y3^-1), (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2^-1 * Y1 * Y3^-2, Y1^-3 * Y3 * Y2, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 14, 40, 22, 48, 16, 42, 23, 49, 26, 52, 13, 39, 6, 32, 11, 37, 18, 44, 4, 30, 10, 36, 7, 33, 12, 38, 15, 41, 3, 29, 9, 35, 21, 47, 25, 51, 19, 45, 24, 50, 20, 46, 17, 43, 5, 31)(53, 79, 55, 81, 65, 91, 57, 83, 67, 93, 78, 104, 69, 95, 64, 90, 75, 101, 72, 98, 59, 85, 68, 94, 76, 102, 62, 88, 74, 100, 71, 97, 56, 82, 66, 92, 77, 103, 70, 96, 60, 86, 73, 99, 63, 89, 54, 80, 61, 87, 58, 84)
	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, 64)(15, 60)(16, 55)(17, 63)(18, 72)(19, 78)(20, 58)(21, 68)(22, 67)(23, 61)(24, 65)(25, 75)(26, 73)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 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 E19.247
Graph:: bipartite
	v = 2 e = 52 f = 14
	degree seq :: [ 52^2 ]

E19.251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y2^2, Y1^-1 * Y3^-2 * Y1^-1, (Y2, Y1^-1), (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y3)^2, (Y2, Y3^-1), (R * Y2)^2, Y3^-1 * Y1 * Y2 * Y3^-2, Y3^-1 * Y1^2 * Y2 * Y1, Y1 * Y2^2 * Y3^2 * Y2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 18, 44, 23, 49, 20, 46, 24, 50, 25, 51, 14, 40, 3, 29, 9, 35, 17, 43, 4, 30, 10, 36, 7, 33, 12, 38, 19, 45, 6, 32, 11, 37, 21, 47, 26, 52, 13, 39, 22, 48, 15, 41, 16, 42, 5, 31)(53, 79, 55, 81, 63, 89, 54, 80, 61, 87, 73, 99, 60, 86, 69, 95, 78, 104, 70, 96, 56, 82, 65, 91, 75, 101, 62, 88, 74, 100, 72, 98, 59, 85, 67, 93, 76, 102, 64, 90, 68, 94, 77, 103, 71, 97, 57, 83, 66, 92, 58, 84)
	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, 61)(17, 67)(18, 64)(19, 60)(20, 58)(21, 72)(22, 66)(23, 71)(24, 63)(25, 73)(26, 76)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 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 E19.245
Graph:: bipartite
	v = 2 e = 52 f = 14
	degree seq :: [ 52^2 ]

E19.252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^-2, (Y2^-1, Y1^-1), (Y1^-1, Y3), (R * Y3)^2, (R * Y2)^2, (Y3, Y2^-1), (R * Y1)^2, Y3^-1 * Y2^2 * Y3^-2, Y2 * Y3 * Y1^-1 * Y2^2, Y1^-1 * Y3 * Y1^-1 * Y2^-2, Y1^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 23, 49, 15, 41, 3, 29, 9, 35, 19, 45, 26, 52, 22, 48, 13, 39, 18, 44, 4, 30, 10, 36, 7, 33, 12, 38, 21, 47, 14, 40, 25, 51, 16, 42, 20, 46, 6, 32, 11, 37, 24, 50, 17, 43, 5, 31)(53, 79, 55, 81, 65, 91, 64, 90, 72, 98, 57, 83, 67, 93, 74, 100, 59, 85, 68, 94, 69, 95, 75, 101, 78, 104, 62, 88, 77, 103, 76, 102, 60, 86, 71, 97, 56, 82, 66, 92, 63, 89, 54, 80, 61, 87, 70, 96, 73, 99, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 59)(9, 77)(10, 57)(11, 78)(12, 54)(13, 63)(14, 75)(15, 73)(16, 55)(17, 65)(18, 76)(19, 68)(20, 61)(21, 60)(22, 58)(23, 64)(24, 74)(25, 67)(26, 72)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 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 E19.244
Graph:: bipartite
	v = 2 e = 52 f = 14
	degree seq :: [ 52^2 ]

E19.253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 x C3 (small group id <27, 2>)
Aut   = (C9 x C3) : C2 (small group id <54, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y1^3, (Y2^-1, Y1^-1), (R * Y1)^2, R * Y2 * R * Y3^-1, (Y3^-1, Y1^-1), Y3^-9, Y2^9, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 6, 33, 9, 36)(4, 31, 7, 34, 11, 38)(8, 35, 12, 39, 15, 42)(10, 37, 13, 40, 17, 44)(14, 41, 18, 45, 21, 48)(16, 43, 19, 46, 23, 50)(20, 47, 24, 51, 26, 53)(22, 49, 25, 52, 27, 54)(55, 82, 57, 84, 62, 89, 68, 95, 74, 101, 76, 103, 70, 97, 64, 91, 58, 85)(56, 83, 60, 87, 66, 93, 72, 99, 78, 105, 79, 106, 73, 100, 67, 94, 61, 88)(59, 86, 63, 90, 69, 96, 75, 102, 80, 107, 81, 108, 77, 104, 71, 98, 65, 92)
	L = (1, 58)(2, 61)(3, 55)(4, 64)(5, 65)(6, 56)(7, 67)(8, 57)(9, 59)(10, 70)(11, 71)(12, 60)(13, 73)(14, 62)(15, 63)(16, 76)(17, 77)(18, 66)(19, 79)(20, 68)(21, 69)(22, 74)(23, 81)(24, 72)(25, 78)(26, 75)(27, 80)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^6 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E19.259
Graph:: bipartite
	v = 12 e = 54 f = 6
	degree seq :: [ 6^9, 18^3 ]

E19.254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 x C3 (small group id <27, 2>)
Aut   = (C9 x C3) : C2 (small group id <54, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^2, Y1^3, Y2^2 * Y3^-1, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y1, Y3^-1), Y2 * Y3^4 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 8, 35, 13, 40)(4, 31, 9, 36, 15, 42)(6, 33, 10, 37, 16, 43)(7, 34, 11, 38, 17, 44)(12, 39, 20, 47, 24, 51)(14, 41, 21, 48, 25, 52)(18, 45, 22, 49, 26, 53)(19, 46, 23, 50, 27, 54)(55, 82, 57, 84, 58, 85, 66, 93, 68, 95, 73, 100, 72, 99, 61, 88, 60, 87)(56, 83, 62, 89, 63, 90, 74, 101, 75, 102, 77, 104, 76, 103, 65, 92, 64, 91)(59, 86, 67, 94, 69, 96, 78, 105, 79, 106, 81, 108, 80, 107, 71, 98, 70, 97)
	L = (1, 58)(2, 63)(3, 66)(4, 68)(5, 69)(6, 57)(7, 55)(8, 74)(9, 75)(10, 62)(11, 56)(12, 73)(13, 78)(14, 72)(15, 79)(16, 67)(17, 59)(18, 60)(19, 61)(20, 77)(21, 76)(22, 64)(23, 65)(24, 81)(25, 80)(26, 70)(27, 71)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^6 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E19.258
Graph:: bipartite
	v = 12 e = 54 f = 6
	degree seq :: [ 6^9, 18^3 ]

E19.255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 x C3 (small group id <27, 2>)
Aut   = (C9 x C3) : C2 (small group id <54, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y3^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y1, Y2^-1), (Y3^-1, Y1), Y2^-4 * Y3^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 8, 35, 14, 41)(4, 31, 9, 36, 15, 42)(6, 33, 10, 37, 16, 43)(7, 34, 11, 38, 17, 44)(12, 39, 20, 47, 24, 51)(13, 40, 21, 48, 25, 52)(18, 45, 22, 49, 26, 53)(19, 46, 23, 50, 27, 54)(55, 82, 57, 84, 66, 93, 73, 100, 61, 88, 58, 85, 67, 94, 72, 99, 60, 87)(56, 83, 62, 89, 74, 101, 77, 104, 65, 92, 63, 90, 75, 102, 76, 103, 64, 91)(59, 86, 68, 95, 78, 105, 81, 108, 71, 98, 69, 96, 79, 106, 80, 107, 70, 97)
	L = (1, 58)(2, 63)(3, 67)(4, 57)(5, 69)(6, 61)(7, 55)(8, 75)(9, 62)(10, 65)(11, 56)(12, 72)(13, 66)(14, 79)(15, 68)(16, 71)(17, 59)(18, 73)(19, 60)(20, 76)(21, 74)(22, 77)(23, 64)(24, 80)(25, 78)(26, 81)(27, 70)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^6 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E19.257
Graph:: bipartite
	v = 12 e = 54 f = 6
	degree seq :: [ 6^9, 18^3 ]

E19.256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 x C3 (small group id <27, 2>)
Aut   = (C9 x C3) : C2 (small group id <54, 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, (R * Y3)^2, (R * Y2)^2, Y2^9, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 8, 35, 7, 34)(4, 31, 9, 36, 6, 33)(10, 37, 15, 42, 11, 38)(12, 39, 14, 41, 13, 40)(16, 43, 18, 45, 17, 44)(19, 46, 21, 48, 20, 47)(22, 49, 24, 51, 23, 50)(25, 52, 27, 54, 26, 53)(55, 82, 57, 84, 64, 91, 70, 97, 76, 103, 80, 107, 73, 100, 68, 95, 60, 87)(56, 83, 62, 89, 69, 96, 72, 99, 78, 105, 79, 106, 75, 102, 67, 94, 58, 85)(59, 86, 61, 88, 65, 92, 71, 98, 77, 104, 81, 108, 74, 101, 66, 93, 63, 90)
	L = (1, 58)(2, 63)(3, 56)(4, 66)(5, 60)(6, 67)(7, 55)(8, 59)(9, 68)(10, 62)(11, 57)(12, 73)(13, 74)(14, 75)(15, 61)(16, 69)(17, 64)(18, 65)(19, 79)(20, 80)(21, 81)(22, 72)(23, 70)(24, 71)(25, 77)(26, 78)(27, 76)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^6 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E19.260
Graph:: bipartite
	v = 12 e = 54 f = 6
	degree seq :: [ 6^9, 18^3 ]

E19.257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 x C3 (small group id <27, 2>)
Aut   = (C9 x C3) : C2 (small group id <54, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y3 * Y2, Y2 * Y3, Y3^-1 * Y1^-1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y3^-1)^3, Y2^2 * Y1^-1 * Y2 * Y1^-2, Y1^9, Y2^9, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 6, 33, 14, 41, 22, 49, 26, 53, 19, 46, 13, 40, 5, 32)(3, 30, 7, 34, 15, 42, 23, 50, 27, 54, 20, 47, 11, 38, 18, 45, 10, 37)(4, 31, 8, 35, 16, 43, 9, 36, 17, 44, 24, 51, 25, 52, 21, 48, 12, 39)(55, 82, 57, 84, 63, 90, 68, 95, 77, 104, 79, 106, 73, 100, 65, 92, 58, 85)(56, 83, 61, 88, 71, 98, 76, 103, 81, 108, 75, 102, 67, 94, 72, 99, 62, 89)(59, 86, 64, 91, 70, 97, 60, 87, 69, 96, 78, 105, 80, 107, 74, 101, 66, 93)
	L = (1, 58)(2, 62)(3, 55)(4, 65)(5, 66)(6, 70)(7, 56)(8, 72)(9, 57)(10, 59)(11, 73)(12, 74)(13, 75)(14, 63)(15, 60)(16, 64)(17, 61)(18, 67)(19, 79)(20, 80)(21, 81)(22, 71)(23, 68)(24, 69)(25, 77)(26, 78)(27, 76)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.255
Graph:: bipartite
	v = 6 e = 54 f = 12
	degree seq :: [ 18^6 ]

E19.258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 x C3 (small group id <27, 2>)
Aut   = (C9 x C3) : C2 (small group id <54, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, (R * Y3)^2, (Y1, Y2^-1), (Y1, Y3^-1), (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3 * Y2 * Y1^-2, Y2 * Y3^4, (Y1^-1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 13, 40, 24, 51, 27, 54, 20, 47, 17, 44, 5, 32)(3, 30, 9, 36, 22, 49, 15, 42, 25, 52, 19, 46, 7, 34, 12, 39, 14, 41)(4, 31, 10, 37, 23, 50, 21, 48, 26, 53, 18, 45, 6, 33, 11, 38, 16, 43)(55, 82, 57, 84, 58, 85, 67, 94, 69, 96, 75, 102, 74, 101, 61, 88, 60, 87)(56, 83, 63, 90, 64, 91, 78, 105, 79, 106, 80, 107, 71, 98, 66, 93, 65, 92)(59, 86, 68, 95, 70, 97, 62, 89, 76, 103, 77, 104, 81, 108, 73, 100, 72, 99)
	L = (1, 58)(2, 64)(3, 67)(4, 69)(5, 70)(6, 57)(7, 55)(8, 77)(9, 78)(10, 79)(11, 63)(12, 56)(13, 75)(14, 62)(15, 74)(16, 76)(17, 65)(18, 68)(19, 59)(20, 60)(21, 61)(22, 81)(23, 73)(24, 80)(25, 71)(26, 66)(27, 72)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.254
Graph:: bipartite
	v = 6 e = 54 f = 12
	degree seq :: [ 18^6 ]

E19.259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 x C3 (small group id <27, 2>)
Aut   = (C9 x C3) : C2 (small group id <54, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2 * Y3^-1, (Y1, Y2^-1), (R * Y3)^2, (Y3^-1, Y1), (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y2^-4 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 21, 48, 26, 53, 27, 54, 14, 41, 17, 44, 5, 32)(3, 30, 9, 36, 19, 46, 7, 34, 12, 39, 23, 50, 20, 47, 25, 52, 15, 42)(4, 31, 10, 37, 18, 45, 6, 33, 11, 38, 22, 49, 13, 40, 24, 51, 16, 43)(55, 82, 57, 84, 67, 94, 75, 102, 61, 88, 58, 85, 68, 95, 74, 101, 60, 87)(56, 83, 63, 90, 78, 105, 80, 107, 66, 93, 64, 91, 71, 98, 79, 106, 65, 92)(59, 86, 69, 96, 76, 103, 62, 89, 73, 100, 70, 97, 81, 108, 77, 104, 72, 99)
	L = (1, 58)(2, 64)(3, 68)(4, 57)(5, 70)(6, 61)(7, 55)(8, 72)(9, 71)(10, 63)(11, 66)(12, 56)(13, 74)(14, 67)(15, 81)(16, 69)(17, 78)(18, 73)(19, 59)(20, 75)(21, 60)(22, 77)(23, 62)(24, 79)(25, 80)(26, 65)(27, 76)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.253
Graph:: bipartite
	v = 6 e = 54 f = 12
	degree seq :: [ 18^6 ]

E19.260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 x C3 (small group id <27, 2>)
Aut   = (C9 x C3) : C2 (small group id <54, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2, (Y1, Y2), (Y1^-1, Y3^-1), (R * Y1)^2, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y1 * Y3^-3 * Y2^-1, Y2 * Y1^-4, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y3)^9 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 13, 40, 3, 30, 6, 33, 10, 37, 18, 45, 5, 32)(4, 31, 9, 36, 22, 49, 21, 48, 12, 39, 17, 44, 25, 52, 27, 54, 16, 43)(7, 34, 11, 38, 23, 50, 26, 53, 14, 41, 20, 47, 15, 42, 24, 51, 19, 46)(55, 82, 57, 84, 59, 86, 67, 94, 72, 99, 62, 89, 64, 91, 56, 83, 60, 87)(58, 85, 66, 93, 70, 97, 75, 102, 81, 108, 76, 103, 79, 106, 63, 90, 71, 98)(61, 88, 68, 95, 73, 100, 80, 107, 78, 105, 77, 104, 69, 96, 65, 92, 74, 101)
	L = (1, 58)(2, 63)(3, 66)(4, 69)(5, 70)(6, 71)(7, 55)(8, 76)(9, 78)(10, 79)(11, 56)(12, 65)(13, 75)(14, 57)(15, 64)(16, 74)(17, 77)(18, 81)(19, 59)(20, 60)(21, 61)(22, 73)(23, 62)(24, 72)(25, 80)(26, 67)(27, 68)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.256
Graph:: bipartite
	v = 6 e = 54 f = 12
	degree seq :: [ 18^6 ]

E19.261 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 9, 9, 9})
Quotient :: edge^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y2 * Y3^-1, Y2^-1 * Y1^2 * Y3^-1, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y3 * Y2, Y3^2 * Y1^-1 * Y3 * Y1, Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2 * Y1^-1 * Y2^2 * Y1, Y1 * Y2 * Y3^7, Y3 * Y1 * Y2^7 ]
Map:: non-degenerate
	R = (1, 28, 4, 31, 9, 36, 26, 53, 21, 48, 13, 40, 27, 54, 23, 50, 7, 34)(2, 29, 10, 37, 19, 46, 24, 51, 6, 33, 15, 42, 20, 47, 14, 41, 12, 39)(3, 30, 8, 35, 18, 45, 25, 52, 17, 44, 11, 38, 22, 49, 5, 32, 16, 43)(55, 56, 62, 80, 78, 71, 81, 74, 59)(57, 67, 66, 79, 61, 73, 76, 63, 69)(58, 68, 65, 75, 64, 70, 77, 60, 72)(82, 84, 95, 107, 106, 91, 108, 103, 87)(83, 90, 97, 105, 94, 99, 101, 88, 92)(85, 98, 96, 102, 86, 93, 104, 89, 100)
	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) :: { ( 12^9 ), ( 12^18 ) }
Outer automorphisms :: reflexible
Dual of E19.268
Graph:: bipartite
	v = 9 e = 54 f = 9
	degree seq :: [ 9^6, 18^3 ]

E19.262 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 9, 9, 9})
Quotient :: edge^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3, Y1^-1 * Y3 * Y2^-1 * Y3, Y2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-3, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^2, Y2^9 ]
Map:: non-degenerate
	R = (1, 28, 4, 31, 15, 42, 24, 51, 20, 47, 9, 36, 27, 54, 23, 50, 7, 34)(2, 29, 6, 33, 16, 43, 22, 49, 12, 39, 25, 52, 18, 45, 14, 41, 11, 38)(3, 30, 13, 40, 26, 53, 19, 46, 5, 32, 17, 44, 21, 48, 8, 35, 10, 37)(55, 56, 62, 78, 76, 67, 81, 72, 59)(57, 61, 70, 73, 69, 79, 75, 63, 65)(58, 68, 80, 74, 60, 71, 77, 66, 64)(82, 84, 93, 105, 100, 95, 108, 102, 87)(83, 90, 107, 103, 88, 98, 99, 96, 91)(85, 86, 97, 101, 89, 106, 104, 94, 92)
	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) :: { ( 12^9 ), ( 12^18 ) }
Outer automorphisms :: reflexible
Dual of E19.267
Graph:: bipartite
	v = 9 e = 54 f = 9
	degree seq :: [ 9^6, 18^3 ]

E19.263 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 9, 9, 9})
Quotient :: edge^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3 * Y1^-3, Y3 * Y2^-3, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1, Y1^-1), Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2, Y1 * Y3 * Y1^2 * Y3, Y3 * Y1^-1 * Y2^-1 * Y1 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 28, 4, 31, 7, 34)(2, 29, 10, 37, 12, 39)(3, 30, 15, 42, 17, 44)(5, 32, 8, 35, 20, 47)(6, 33, 14, 41, 23, 50)(9, 36, 13, 40, 26, 53)(11, 38, 25, 52, 21, 48)(16, 43, 18, 45, 24, 51)(19, 46, 22, 49, 27, 54)(55, 56, 62, 58, 64, 74, 61, 66, 59)(57, 67, 72, 69, 80, 78, 71, 63, 70)(60, 75, 81, 68, 65, 73, 77, 79, 76)(82, 84, 95, 85, 96, 104, 88, 98, 87)(83, 90, 106, 91, 94, 102, 93, 107, 92)(86, 99, 103, 89, 105, 108, 101, 97, 100)
	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) :: { ( 36^6 ), ( 36^9 ) }
Outer automorphisms :: reflexible
Dual of E19.266
Graph:: bipartite
	v = 15 e = 54 f = 3
	degree seq :: [ 6^9, 9^6 ]

E19.264 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 9, 9, 9})
Quotient :: edge^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y3^-1, Y2), (Y3, Y1^-1), Y2^-3 * Y3^-1, Y3^-1 * Y1^-3, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2 * Y3^-1, Y1 * Y2^-1 * Y1^-1 * Y3 * Y2, (Y1^2 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 28, 4, 31, 7, 34)(2, 29, 10, 37, 12, 39)(3, 30, 15, 42, 17, 44)(5, 32, 18, 45, 8, 35)(6, 33, 19, 46, 14, 41)(9, 36, 26, 53, 13, 40)(11, 38, 22, 49, 25, 52)(16, 43, 24, 51, 20, 47)(21, 48, 27, 54, 23, 50)(55, 56, 62, 61, 66, 72, 58, 64, 59)(57, 67, 74, 71, 80, 78, 69, 63, 70)(60, 76, 81, 68, 65, 75, 73, 79, 77)(82, 84, 95, 88, 98, 100, 85, 96, 87)(83, 90, 106, 93, 94, 103, 91, 107, 92)(86, 101, 104, 89, 105, 108, 99, 97, 102)
	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) :: { ( 36^6 ), ( 36^9 ) }
Outer automorphisms :: reflexible
Dual of E19.265
Graph:: bipartite
	v = 15 e = 54 f = 3
	degree seq :: [ 6^9, 9^6 ]

E19.265 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 9, 9, 9})
Quotient :: loop^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y2 * Y3^-1, Y2^-1 * Y1^2 * Y3^-1, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y3 * Y2, Y3^2 * Y1^-1 * Y3 * Y1, Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2 * Y1^-1 * Y2^2 * Y1, Y1 * Y2 * Y3^7, Y3 * Y1 * Y2^7 ]
Map:: non-degenerate
	R = (1, 28, 55, 82, 4, 31, 58, 85, 9, 36, 63, 90, 26, 53, 80, 107, 21, 48, 75, 102, 13, 40, 67, 94, 27, 54, 81, 108, 23, 50, 77, 104, 7, 34, 61, 88)(2, 29, 56, 83, 10, 37, 64, 91, 19, 46, 73, 100, 24, 51, 78, 105, 6, 33, 60, 87, 15, 42, 69, 96, 20, 47, 74, 101, 14, 41, 68, 95, 12, 39, 66, 93)(3, 30, 57, 84, 8, 35, 62, 89, 18, 45, 72, 99, 25, 52, 79, 106, 17, 44, 71, 98, 11, 38, 65, 92, 22, 49, 76, 103, 5, 32, 59, 86, 16, 43, 70, 97)
	L = (1, 29)(2, 35)(3, 40)(4, 41)(5, 28)(6, 45)(7, 46)(8, 53)(9, 42)(10, 43)(11, 48)(12, 52)(13, 39)(14, 38)(15, 30)(16, 50)(17, 54)(18, 31)(19, 49)(20, 32)(21, 37)(22, 36)(23, 33)(24, 44)(25, 34)(26, 51)(27, 47)(55, 84)(56, 90)(57, 95)(58, 98)(59, 93)(60, 82)(61, 92)(62, 100)(63, 97)(64, 108)(65, 83)(66, 104)(67, 99)(68, 107)(69, 102)(70, 105)(71, 96)(72, 101)(73, 85)(74, 88)(75, 86)(76, 87)(77, 89)(78, 94)(79, 91)(80, 106)(81, 103)
	local type(s) :: { ( 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.264
Transitivity :: VT+
Graph::
	v = 3 e = 54 f = 15
	degree seq :: [ 36^3 ]

E19.266 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 9, 9, 9})
Quotient :: loop^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3, Y1^-1 * Y3 * Y2^-1 * Y3, Y2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-3, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^2, Y2^9 ]
Map:: non-degenerate
	R = (1, 28, 55, 82, 4, 31, 58, 85, 15, 42, 69, 96, 24, 51, 78, 105, 20, 47, 74, 101, 9, 36, 63, 90, 27, 54, 81, 108, 23, 50, 77, 104, 7, 34, 61, 88)(2, 29, 56, 83, 6, 33, 60, 87, 16, 43, 70, 97, 22, 49, 76, 103, 12, 39, 66, 93, 25, 52, 79, 106, 18, 45, 72, 99, 14, 41, 68, 95, 11, 38, 65, 92)(3, 30, 57, 84, 13, 40, 67, 94, 26, 53, 80, 107, 19, 46, 73, 100, 5, 32, 59, 86, 17, 44, 71, 98, 21, 48, 75, 102, 8, 35, 62, 89, 10, 37, 64, 91)
	L = (1, 29)(2, 35)(3, 34)(4, 41)(5, 28)(6, 44)(7, 43)(8, 51)(9, 38)(10, 31)(11, 30)(12, 37)(13, 54)(14, 53)(15, 52)(16, 46)(17, 50)(18, 32)(19, 42)(20, 33)(21, 36)(22, 40)(23, 39)(24, 49)(25, 48)(26, 47)(27, 45)(55, 84)(56, 90)(57, 93)(58, 86)(59, 97)(60, 82)(61, 98)(62, 106)(63, 107)(64, 83)(65, 85)(66, 105)(67, 92)(68, 108)(69, 91)(70, 101)(71, 99)(72, 96)(73, 95)(74, 89)(75, 87)(76, 88)(77, 94)(78, 100)(79, 104)(80, 103)(81, 102)
	local type(s) :: { ( 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.263
Transitivity :: VT+
Graph::
	v = 3 e = 54 f = 15
	degree seq :: [ 36^3 ]

E19.267 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 9, 9, 9})
Quotient :: loop^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3 * Y1^-3, Y3 * Y2^-3, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1, Y1^-1), Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2, Y1 * Y3 * Y1^2 * Y3, Y3 * Y1^-1 * Y2^-1 * Y1 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 28, 55, 82, 4, 31, 58, 85, 7, 34, 61, 88)(2, 29, 56, 83, 10, 37, 64, 91, 12, 39, 66, 93)(3, 30, 57, 84, 15, 42, 69, 96, 17, 44, 71, 98)(5, 32, 59, 86, 8, 35, 62, 89, 20, 47, 74, 101)(6, 33, 60, 87, 14, 41, 68, 95, 23, 50, 77, 104)(9, 36, 63, 90, 13, 40, 67, 94, 26, 53, 80, 107)(11, 38, 65, 92, 25, 52, 79, 106, 21, 48, 75, 102)(16, 43, 70, 97, 18, 45, 72, 99, 24, 51, 78, 105)(19, 46, 73, 100, 22, 49, 76, 103, 27, 54, 81, 108)
	L = (1, 29)(2, 35)(3, 40)(4, 37)(5, 28)(6, 48)(7, 39)(8, 31)(9, 43)(10, 47)(11, 46)(12, 32)(13, 45)(14, 38)(15, 53)(16, 30)(17, 36)(18, 42)(19, 50)(20, 34)(21, 54)(22, 33)(23, 52)(24, 44)(25, 49)(26, 51)(27, 41)(55, 84)(56, 90)(57, 95)(58, 96)(59, 99)(60, 82)(61, 98)(62, 105)(63, 106)(64, 94)(65, 83)(66, 107)(67, 102)(68, 85)(69, 104)(70, 100)(71, 87)(72, 103)(73, 86)(74, 97)(75, 93)(76, 89)(77, 88)(78, 108)(79, 91)(80, 92)(81, 101)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.262
Transitivity :: VT+
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.268 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 9, 9, 9})
Quotient :: loop^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y3^-1, Y2), (Y3, Y1^-1), Y2^-3 * Y3^-1, Y3^-1 * Y1^-3, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2 * Y3^-1, Y1 * Y2^-1 * Y1^-1 * Y3 * Y2, (Y1^2 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 28, 55, 82, 4, 31, 58, 85, 7, 34, 61, 88)(2, 29, 56, 83, 10, 37, 64, 91, 12, 39, 66, 93)(3, 30, 57, 84, 15, 42, 69, 96, 17, 44, 71, 98)(5, 32, 59, 86, 18, 45, 72, 99, 8, 35, 62, 89)(6, 33, 60, 87, 19, 46, 73, 100, 14, 41, 68, 95)(9, 36, 63, 90, 26, 53, 80, 107, 13, 40, 67, 94)(11, 38, 65, 92, 22, 49, 76, 103, 25, 52, 79, 106)(16, 43, 70, 97, 24, 51, 78, 105, 20, 47, 74, 101)(21, 48, 75, 102, 27, 54, 81, 108, 23, 50, 77, 104)
	L = (1, 29)(2, 35)(3, 40)(4, 37)(5, 28)(6, 49)(7, 39)(8, 34)(9, 43)(10, 32)(11, 48)(12, 45)(13, 47)(14, 38)(15, 36)(16, 30)(17, 53)(18, 31)(19, 52)(20, 44)(21, 46)(22, 54)(23, 33)(24, 42)(25, 50)(26, 51)(27, 41)(55, 84)(56, 90)(57, 95)(58, 96)(59, 101)(60, 82)(61, 98)(62, 105)(63, 106)(64, 107)(65, 83)(66, 94)(67, 103)(68, 88)(69, 87)(70, 102)(71, 100)(72, 97)(73, 85)(74, 104)(75, 86)(76, 91)(77, 89)(78, 108)(79, 93)(80, 92)(81, 99)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.261
Transitivity :: VT+
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.269 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 7, 14})
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 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^4, Y1^4, Y3^7, (Y3 * Y1^-1 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 3, 31, 9, 37, 17, 45, 20, 48, 12, 40, 5, 33)(2, 30, 7, 35, 15, 43, 23, 51, 24, 52, 16, 44, 8, 36)(4, 32, 11, 39, 19, 47, 26, 54, 25, 53, 18, 46, 10, 38)(6, 34, 13, 41, 21, 49, 27, 55, 28, 56, 22, 50, 14, 42)(57, 58, 62, 60)(59, 64, 69, 66)(61, 63, 70, 67)(65, 72, 77, 74)(68, 71, 78, 75)(73, 80, 83, 81)(76, 79, 84, 82)(85, 86, 90, 88)(87, 92, 97, 94)(89, 91, 98, 95)(93, 100, 105, 102)(96, 99, 106, 103)(101, 108, 111, 109)(104, 107, 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) :: { ( 56^4 ), ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E19.278
Graph:: simple bipartite
	v = 18 e = 56 f = 2
	degree seq :: [ 4^14, 14^4 ]

E19.270 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 7, 14})
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, Y1^2 * Y2^2, Y2^4, (R * Y3)^2, Y1^2 * Y2^-2, R * Y1 * R * Y2, Y3 * Y1^-1 * Y3 * Y1, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y2^-1 * Y3^-2 * Y1, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y1^-1 * Y2 * Y3^-3, Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 29, 4, 32, 17, 45, 11, 39, 15, 43, 22, 50, 7, 35)(2, 30, 10, 38, 16, 44, 3, 31, 14, 42, 26, 54, 12, 40)(5, 33, 20, 48, 19, 47, 6, 34, 21, 49, 28, 56, 18, 46)(8, 36, 23, 51, 25, 53, 9, 37, 13, 41, 27, 55, 24, 52)(57, 58, 64, 61)(59, 69, 62, 71)(60, 68, 79, 74)(63, 66, 80, 76)(65, 77, 67, 70)(72, 83, 75, 78)(73, 82, 81, 84)(85, 87, 92, 90)(86, 93, 89, 95)(88, 100, 107, 103)(91, 98, 108, 105)(94, 109, 104, 101)(96, 97, 102, 99)(106, 110, 111, 112)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 56^4 ), ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E19.280
Graph:: simple bipartite
	v = 18 e = 56 f = 2
	degree seq :: [ 4^14, 14^4 ]

E19.271 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 7, 14})
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, Y1^2 * Y2^2, Y2^4, Y1 * Y2^-2 * Y1, Y2 * Y3^-1 * Y2^-1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y3^2 * Y1^-1 * Y3^-1 * Y2, Y3 * Y2 * Y3^-3 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 4, 32, 17, 45, 15, 43, 11, 39, 22, 50, 7, 35)(2, 30, 10, 38, 26, 54, 16, 44, 3, 31, 14, 42, 12, 40)(5, 33, 20, 48, 28, 56, 19, 47, 6, 34, 21, 49, 18, 46)(8, 36, 23, 51, 27, 55, 13, 41, 9, 37, 25, 53, 24, 52)(57, 58, 64, 61)(59, 69, 62, 71)(60, 68, 79, 74)(63, 66, 80, 76)(65, 75, 67, 72)(70, 83, 77, 73)(78, 82, 81, 84)(85, 87, 92, 90)(86, 93, 89, 95)(88, 100, 107, 103)(91, 98, 108, 105)(94, 97, 104, 99)(96, 109, 102, 106)(101, 110, 111, 112)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 56^4 ), ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E19.279
Graph:: simple bipartite
	v = 18 e = 56 f = 2
	degree seq :: [ 4^14, 14^4 ]

E19.272 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 7, 14})
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 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^4, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^4, Y1^-1 * Y3^2 * Y2 * Y3^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-4, (Y3 * Y1^-1 * Y2^-1)^7 ]
Map:: non-degenerate
	R = (1, 29, 3, 31, 9, 37, 17, 45, 25, 53, 22, 50, 14, 42, 6, 34, 13, 41, 21, 49, 28, 56, 20, 48, 12, 40, 5, 33)(2, 30, 7, 35, 15, 43, 23, 51, 26, 54, 18, 46, 10, 38, 4, 32, 11, 39, 19, 47, 27, 55, 24, 52, 16, 44, 8, 36)(57, 58, 62, 60)(59, 64, 69, 66)(61, 63, 70, 67)(65, 72, 77, 74)(68, 71, 78, 75)(73, 80, 84, 82)(76, 79, 81, 83)(85, 86, 90, 88)(87, 92, 97, 94)(89, 91, 98, 95)(93, 100, 105, 102)(96, 99, 106, 103)(101, 108, 112, 110)(104, 107, 109, 111)
	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 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E19.275
Graph:: bipartite
	v = 16 e = 56 f = 4
	degree seq :: [ 4^14, 28^2 ]

E19.273 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 7, 14})
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^-2 * Y2^-1, Y1^-2 * Y2^2, Y1^4, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, Y1 * Y3 * Y1^-1 * Y3, Y3 * Y2 * Y3^-2 * Y1, Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y1 * Y3^3 * Y2 ]
Map:: non-degenerate
	R = (1, 29, 4, 32, 17, 45, 9, 37, 15, 43, 27, 55, 24, 52, 8, 36, 23, 51, 25, 53, 11, 39, 13, 41, 22, 50, 7, 35)(2, 30, 10, 38, 19, 47, 6, 34, 21, 49, 28, 56, 18, 46, 5, 33, 20, 48, 16, 44, 3, 31, 14, 42, 26, 54, 12, 40)(57, 58, 64, 61)(59, 69, 62, 71)(60, 68, 79, 74)(63, 66, 80, 76)(65, 70, 67, 77)(72, 78, 75, 83)(73, 82, 81, 84)(85, 87, 92, 90)(86, 93, 89, 95)(88, 100, 107, 103)(91, 98, 108, 105)(94, 101, 104, 109)(96, 99, 102, 97)(106, 110, 111, 112)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^4 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E19.277
Graph:: bipartite
	v = 16 e = 56 f = 4
	degree seq :: [ 4^14, 28^2 ]

E19.274 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 7, 14})
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, Y1^4, R * Y1 * R * Y2, Y2^4, Y1 * Y2^2 * Y1, (R * Y3)^2, Y1 * Y3 * Y1^-1 * Y3, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y1 * Y3^-3 * Y2, Y2^-2 * Y3 * Y2^-2 * Y3^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 4, 32, 17, 45, 13, 41, 11, 39, 26, 54, 24, 52, 8, 36, 23, 51, 27, 55, 15, 43, 9, 37, 22, 50, 7, 35)(2, 30, 10, 38, 25, 53, 16, 44, 3, 31, 14, 42, 18, 46, 5, 33, 20, 48, 28, 56, 19, 47, 6, 34, 21, 49, 12, 40)(57, 58, 64, 61)(59, 69, 62, 71)(60, 68, 79, 74)(63, 66, 80, 76)(65, 72, 67, 75)(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, 99, 104, 97)(96, 106, 102, 110)(101, 109, 111, 112)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^4 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E19.276
Graph:: bipartite
	v = 16 e = 56 f = 4
	degree seq :: [ 4^14, 28^2 ]

E19.275 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 7, 14})
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 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^4, Y1^4, Y3^7, (Y3 * Y1^-1 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 57, 85, 3, 31, 59, 87, 9, 37, 65, 93, 17, 45, 73, 101, 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)(4, 32, 60, 88, 11, 39, 67, 95, 19, 47, 75, 103, 26, 54, 82, 110, 25, 53, 81, 109, 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, 36)(4, 29)(5, 35)(6, 32)(7, 42)(8, 41)(9, 44)(10, 31)(11, 33)(12, 43)(13, 38)(14, 39)(15, 50)(16, 49)(17, 52)(18, 37)(19, 40)(20, 51)(21, 46)(22, 47)(23, 56)(24, 55)(25, 45)(26, 48)(27, 53)(28, 54)(57, 86)(58, 90)(59, 92)(60, 85)(61, 91)(62, 88)(63, 98)(64, 97)(65, 100)(66, 87)(67, 89)(68, 99)(69, 94)(70, 95)(71, 106)(72, 105)(73, 108)(74, 93)(75, 96)(76, 107)(77, 102)(78, 103)(79, 112)(80, 111)(81, 101)(82, 104)(83, 109)(84, 110)
	local type(s) :: { ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E19.272
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 56 f = 16
	degree seq :: [ 28^4 ]

E19.276 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 7, 14})
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, Y1^2 * Y2^2, Y2^4, (R * Y3)^2, Y1^2 * Y2^-2, R * Y1 * R * Y2, Y3 * Y1^-1 * Y3 * Y1, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y2^-1 * Y3^-2 * Y1, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y1^-1 * Y2 * Y3^-3, Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 29, 57, 85, 4, 32, 60, 88, 17, 45, 73, 101, 11, 39, 67, 95, 15, 43, 71, 99, 22, 50, 78, 106, 7, 35, 63, 91)(2, 30, 58, 86, 10, 38, 66, 94, 16, 44, 72, 100, 3, 31, 59, 87, 14, 42, 70, 98, 26, 54, 82, 110, 12, 40, 68, 96)(5, 33, 61, 89, 20, 48, 76, 104, 19, 47, 75, 103, 6, 34, 62, 90, 21, 49, 77, 105, 28, 56, 84, 112, 18, 46, 74, 102)(8, 36, 64, 92, 23, 51, 79, 107, 25, 53, 81, 109, 9, 37, 65, 93, 13, 41, 69, 97, 27, 55, 83, 111, 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, 55)(17, 54)(18, 32)(19, 50)(20, 35)(21, 39)(22, 44)(23, 46)(24, 48)(25, 56)(26, 53)(27, 47)(28, 45)(57, 87)(58, 93)(59, 92)(60, 100)(61, 95)(62, 85)(63, 98)(64, 90)(65, 89)(66, 109)(67, 86)(68, 97)(69, 102)(70, 108)(71, 96)(72, 107)(73, 94)(74, 99)(75, 88)(76, 101)(77, 91)(78, 110)(79, 103)(80, 105)(81, 104)(82, 111)(83, 112)(84, 106)
	local type(s) :: { ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E19.274
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 56 f = 16
	degree seq :: [ 28^4 ]

E19.277 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 7, 14})
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, Y1^2 * Y2^2, Y2^4, Y1 * Y2^-2 * Y1, Y2 * Y3^-1 * Y2^-1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y3^2 * Y1^-1 * Y3^-1 * Y2, Y3 * Y2 * Y3^-3 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 57, 85, 4, 32, 60, 88, 17, 45, 73, 101, 15, 43, 71, 99, 11, 39, 67, 95, 22, 50, 78, 106, 7, 35, 63, 91)(2, 30, 58, 86, 10, 38, 66, 94, 26, 54, 82, 110, 16, 44, 72, 100, 3, 31, 59, 87, 14, 42, 70, 98, 12, 40, 68, 96)(5, 33, 61, 89, 20, 48, 76, 104, 28, 56, 84, 112, 19, 47, 75, 103, 6, 34, 62, 90, 21, 49, 77, 105, 18, 46, 74, 102)(8, 36, 64, 92, 23, 51, 79, 107, 27, 55, 83, 111, 13, 41, 69, 97, 9, 37, 65, 93, 25, 53, 81, 109, 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, 55)(15, 31)(16, 37)(17, 42)(18, 32)(19, 39)(20, 35)(21, 45)(22, 54)(23, 46)(24, 48)(25, 56)(26, 53)(27, 49)(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, 109)(69, 104)(70, 108)(71, 94)(72, 107)(73, 110)(74, 106)(75, 88)(76, 99)(77, 91)(78, 96)(79, 103)(80, 105)(81, 102)(82, 111)(83, 112)(84, 101)
	local type(s) :: { ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E19.273
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 56 f = 16
	degree seq :: [ 28^4 ]

E19.278 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 7, 14})
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 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^4, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^4, Y1^-1 * Y3^2 * Y2 * Y3^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-4, (Y3 * Y1^-1 * Y2^-1)^7 ]
Map:: non-degenerate
	R = (1, 29, 57, 85, 3, 31, 59, 87, 9, 37, 65, 93, 17, 45, 73, 101, 25, 53, 81, 109, 22, 50, 78, 106, 14, 42, 70, 98, 6, 34, 62, 90, 13, 41, 69, 97, 21, 49, 77, 105, 28, 56, 84, 112, 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, 26, 54, 82, 110, 18, 46, 74, 102, 10, 38, 66, 94, 4, 32, 60, 88, 11, 39, 67, 95, 19, 47, 75, 103, 27, 55, 83, 111, 24, 52, 80, 108, 16, 44, 72, 100, 8, 36, 64, 92)
	L = (1, 30)(2, 34)(3, 36)(4, 29)(5, 35)(6, 32)(7, 42)(8, 41)(9, 44)(10, 31)(11, 33)(12, 43)(13, 38)(14, 39)(15, 50)(16, 49)(17, 52)(18, 37)(19, 40)(20, 51)(21, 46)(22, 47)(23, 53)(24, 56)(25, 55)(26, 45)(27, 48)(28, 54)(57, 86)(58, 90)(59, 92)(60, 85)(61, 91)(62, 88)(63, 98)(64, 97)(65, 100)(66, 87)(67, 89)(68, 99)(69, 94)(70, 95)(71, 106)(72, 105)(73, 108)(74, 93)(75, 96)(76, 107)(77, 102)(78, 103)(79, 109)(80, 112)(81, 111)(82, 101)(83, 104)(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, 4, 14, 4, 14, 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 E19.269
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 56 f = 18
	degree seq :: [ 56^2 ]

E19.279 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 7, 14})
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^-2 * Y2^-1, Y1^-2 * Y2^2, Y1^4, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, Y1 * Y3 * Y1^-1 * Y3, Y3 * Y2 * Y3^-2 * Y1, Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y1 * Y3^3 * Y2 ]
Map:: non-degenerate
	R = (1, 29, 57, 85, 4, 32, 60, 88, 17, 45, 73, 101, 9, 37, 65, 93, 15, 43, 71, 99, 27, 55, 83, 111, 24, 52, 80, 108, 8, 36, 64, 92, 23, 51, 79, 107, 25, 53, 81, 109, 11, 39, 67, 95, 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, 28, 56, 84, 112, 18, 46, 74, 102, 5, 33, 61, 89, 20, 48, 76, 104, 16, 44, 72, 100, 3, 31, 59, 87, 14, 42, 70, 98, 26, 54, 82, 110, 12, 40, 68, 96)
	L = (1, 30)(2, 36)(3, 41)(4, 40)(5, 29)(6, 43)(7, 38)(8, 33)(9, 42)(10, 52)(11, 49)(12, 51)(13, 34)(14, 39)(15, 31)(16, 50)(17, 54)(18, 32)(19, 55)(20, 35)(21, 37)(22, 47)(23, 46)(24, 48)(25, 56)(26, 53)(27, 44)(28, 45)(57, 87)(58, 93)(59, 92)(60, 100)(61, 95)(62, 85)(63, 98)(64, 90)(65, 89)(66, 101)(67, 86)(68, 99)(69, 96)(70, 108)(71, 102)(72, 107)(73, 104)(74, 97)(75, 88)(76, 109)(77, 91)(78, 110)(79, 103)(80, 105)(81, 94)(82, 111)(83, 112)(84, 106)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.271
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 56 f = 18
	degree seq :: [ 56^2 ]

E19.280 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 7, 14})
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, Y1^4, R * Y1 * R * Y2, Y2^4, Y1 * Y2^2 * Y1, (R * Y3)^2, Y1 * Y3 * Y1^-1 * Y3, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y1 * Y3^-3 * Y2, Y2^-2 * Y3 * Y2^-2 * Y3^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 57, 85, 4, 32, 60, 88, 17, 45, 73, 101, 13, 41, 69, 97, 11, 39, 67, 95, 26, 54, 82, 110, 24, 52, 80, 108, 8, 36, 64, 92, 23, 51, 79, 107, 27, 55, 83, 111, 15, 43, 71, 99, 9, 37, 65, 93, 22, 50, 78, 106, 7, 35, 63, 91)(2, 30, 58, 86, 10, 38, 66, 94, 25, 53, 81, 109, 16, 44, 72, 100, 3, 31, 59, 87, 14, 42, 70, 98, 18, 46, 74, 102, 5, 33, 61, 89, 20, 48, 76, 104, 28, 56, 84, 112, 19, 47, 75, 103, 6, 34, 62, 90, 21, 49, 77, 105, 12, 40, 68, 96)
	L = (1, 30)(2, 36)(3, 41)(4, 40)(5, 29)(6, 43)(7, 38)(8, 33)(9, 44)(10, 52)(11, 47)(12, 51)(13, 34)(14, 45)(15, 31)(16, 39)(17, 49)(18, 32)(19, 37)(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, 99)(67, 86)(68, 106)(69, 94)(70, 108)(71, 104)(72, 107)(73, 109)(74, 110)(75, 88)(76, 97)(77, 91)(78, 102)(79, 103)(80, 105)(81, 111)(82, 96)(83, 112)(84, 101)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.270
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 56 f = 18
	degree seq :: [ 56^2 ]

E19.281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 14})
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, Y3^2, Y3 * Y1^2, Y2 * Y3 * Y2^-1 * Y3, Y1 * Y2^-1 * Y1^-1 * Y2^-1, (Y2^-1 * R)^2, (R * Y1)^2, (R * Y3)^2, Y2^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 4, 32, 5, 33)(3, 31, 8, 36, 10, 38, 11, 39)(6, 34, 7, 35, 12, 40, 13, 41)(9, 37, 16, 44, 18, 46, 19, 47)(14, 42, 15, 43, 20, 48, 21, 49)(17, 45, 24, 52, 25, 53, 26, 54)(22, 50, 23, 51, 27, 55, 28, 56)(57, 85, 59, 87, 65, 93, 73, 101, 78, 106, 70, 98, 62, 90)(58, 86, 63, 91, 71, 99, 79, 107, 80, 108, 72, 100, 64, 92)(60, 88, 66, 94, 74, 102, 81, 109, 83, 111, 76, 104, 68, 96)(61, 89, 69, 97, 77, 105, 84, 112, 82, 110, 75, 103, 67, 95)
	L = (1, 60)(2, 61)(3, 66)(4, 57)(5, 58)(6, 68)(7, 69)(8, 67)(9, 74)(10, 59)(11, 64)(12, 62)(13, 63)(14, 76)(15, 77)(16, 75)(17, 81)(18, 65)(19, 72)(20, 70)(21, 71)(22, 83)(23, 84)(24, 82)(25, 73)(26, 80)(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) :: { ( 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 E19.287
Graph:: bipartite
	v = 11 e = 56 f = 9
	degree seq :: [ 8^7, 14^4 ]

E19.282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 14})
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, Y1 * Y3 * Y2 * Y1, Y3 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y2)^2, Y1^-1 * Y2 * Y3 * Y1^-1, Y1^4, Y2^-1 * Y1^-2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^7, Y2^3 * Y3^-4, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 11, 39, 7, 35, 10, 38)(4, 32, 12, 40, 6, 34, 9, 37)(13, 41, 19, 47, 14, 42, 20, 48)(15, 43, 17, 45, 16, 44, 18, 46)(21, 49, 28, 56, 22, 50, 27, 55)(23, 51, 26, 54, 24, 52, 25, 53)(57, 85, 59, 87, 69, 97, 77, 105, 80, 108, 71, 99, 62, 90)(58, 86, 65, 93, 73, 101, 81, 109, 84, 112, 75, 103, 67, 95)(60, 88, 64, 92, 63, 91, 70, 98, 78, 106, 79, 107, 72, 100)(61, 89, 68, 96, 74, 102, 82, 110, 83, 111, 76, 104, 66, 94)
	L = (1, 60)(2, 66)(3, 64)(4, 71)(5, 67)(6, 72)(7, 57)(8, 62)(9, 61)(10, 75)(11, 76)(12, 58)(13, 63)(14, 59)(15, 79)(16, 80)(17, 68)(18, 65)(19, 83)(20, 84)(21, 70)(22, 69)(23, 77)(24, 78)(25, 74)(26, 73)(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) :: { ( 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 E19.291
Graph:: bipartite
	v = 11 e = 56 f = 9
	degree seq :: [ 8^7, 14^4 ]

E19.283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 14})
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^-1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, Y1^4, (R * Y3)^2, Y1^-1 * Y2^-3 * Y1^-1 * Y3^-1, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y2^4, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 11, 39, 21, 49, 14, 42)(4, 32, 12, 40, 22, 50, 16, 44)(6, 34, 9, 37, 23, 51, 18, 46)(7, 35, 10, 38, 24, 52, 19, 47)(13, 41, 28, 56, 17, 45, 26, 54)(15, 43, 27, 55, 20, 48, 25, 53)(57, 85, 59, 87, 69, 97, 78, 106, 80, 108, 76, 104, 62, 90)(58, 86, 65, 93, 81, 109, 75, 103, 72, 100, 84, 112, 67, 95)(60, 88, 63, 91, 71, 99, 79, 107, 64, 92, 77, 105, 73, 101)(61, 89, 74, 102, 83, 111, 66, 94, 68, 96, 82, 110, 70, 98)
	L = (1, 60)(2, 66)(3, 63)(4, 62)(5, 75)(6, 73)(7, 57)(8, 78)(9, 68)(10, 67)(11, 83)(12, 58)(13, 71)(14, 81)(15, 59)(16, 61)(17, 76)(18, 72)(19, 70)(20, 77)(21, 80)(22, 79)(23, 69)(24, 64)(25, 82)(26, 65)(27, 84)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 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 E19.290
Graph:: bipartite
	v = 11 e = 56 f = 9
	degree seq :: [ 8^7, 14^4 ]

E19.284 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 14})
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^-1 * Y3^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^4, Y2 * Y1 * Y2 * Y1^-1, Y1^2 * Y3 * Y1^2 * Y3^-1, Y1^-1 * Y3^-1 * Y2^-3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 11, 39, 21, 49, 15, 43)(4, 32, 12, 40, 22, 50, 16, 44)(6, 34, 9, 37, 23, 51, 17, 45)(7, 35, 10, 38, 24, 52, 18, 46)(13, 41, 27, 55, 20, 48, 26, 54)(14, 42, 28, 56, 19, 47, 25, 53)(57, 85, 59, 87, 69, 97, 80, 108, 78, 106, 75, 103, 62, 90)(58, 86, 65, 93, 81, 109, 72, 100, 74, 102, 83, 111, 67, 95)(60, 88, 70, 98, 79, 107, 64, 92, 77, 105, 76, 104, 63, 91)(61, 89, 73, 101, 84, 112, 68, 96, 66, 94, 82, 110, 71, 99)
	L = (1, 60)(2, 66)(3, 70)(4, 59)(5, 74)(6, 63)(7, 57)(8, 78)(9, 82)(10, 65)(11, 68)(12, 58)(13, 79)(14, 69)(15, 72)(16, 61)(17, 83)(18, 73)(19, 76)(20, 62)(21, 75)(22, 77)(23, 80)(24, 64)(25, 71)(26, 81)(27, 84)(28, 67)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 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 E19.288
Graph:: bipartite
	v = 11 e = 56 f = 9
	degree seq :: [ 8^7, 14^4 ]

E19.285 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 14})
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, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y1)^2, (Y2, Y3), Y1^4, Y2 * Y1 * Y2 * Y1^-1, Y2 * Y3^4, Y3^-1 * Y1 * Y2 * Y1 * Y2^-1, Y1 * Y3 * Y2^2 * Y1, Y2^2 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y3 * Y1^-1 * Y3^-2 * Y1^-1, Y2^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 11, 39, 23, 51, 15, 43)(4, 32, 12, 40, 22, 50, 18, 46)(6, 34, 9, 37, 14, 42, 20, 48)(7, 35, 10, 38, 13, 41, 21, 49)(16, 44, 27, 55, 17, 45, 28, 56)(19, 47, 25, 53, 24, 52, 26, 54)(57, 85, 59, 87, 69, 97, 73, 101, 80, 108, 78, 106, 62, 90)(58, 86, 65, 93, 74, 102, 82, 110, 84, 112, 77, 105, 67, 95)(60, 88, 70, 98, 64, 92, 79, 107, 63, 91, 72, 100, 75, 103)(61, 89, 76, 104, 68, 96, 81, 109, 83, 111, 66, 94, 71, 99)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 77)(6, 75)(7, 57)(8, 78)(9, 71)(10, 82)(11, 83)(12, 58)(13, 64)(14, 80)(15, 84)(16, 59)(17, 79)(18, 61)(19, 69)(20, 67)(21, 81)(22, 72)(23, 62)(24, 63)(25, 65)(26, 76)(27, 74)(28, 68)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 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 E19.292
Graph:: bipartite
	v = 11 e = 56 f = 9
	degree seq :: [ 8^7, 14^4 ]

E19.286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 14})
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, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^4, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (Y2, Y3^-1), Y3^-3 * Y2 * Y3^-1, Y1^-1 * Y3^-1 * Y2^2 * Y1^-1, Y2 * Y3 * Y2^2 * Y3, Y3 * Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 11, 39, 19, 47, 15, 43)(4, 32, 12, 40, 13, 41, 18, 46)(6, 34, 9, 37, 16, 44, 20, 48)(7, 35, 10, 38, 22, 50, 21, 49)(14, 42, 27, 55, 24, 52, 26, 54)(17, 45, 28, 56, 23, 51, 25, 53)(57, 85, 59, 87, 69, 97, 80, 108, 73, 101, 78, 106, 62, 90)(58, 86, 65, 93, 77, 105, 84, 112, 82, 110, 74, 102, 67, 95)(60, 88, 70, 98, 79, 107, 63, 91, 72, 100, 64, 92, 75, 103)(61, 89, 76, 104, 66, 94, 81, 109, 83, 111, 68, 96, 71, 99)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 77)(6, 75)(7, 57)(8, 69)(9, 81)(10, 82)(11, 76)(12, 58)(13, 79)(14, 78)(15, 65)(16, 59)(17, 72)(18, 61)(19, 80)(20, 84)(21, 83)(22, 64)(23, 62)(24, 63)(25, 74)(26, 71)(27, 67)(28, 68)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 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 E19.289
Graph:: bipartite
	v = 11 e = 56 f = 9
	degree seq :: [ 8^7, 14^4 ]

E19.287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 14})
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, Y3^2, Y3 * Y2^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1^-7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 15, 43, 23, 51, 20, 48, 12, 40, 4, 32, 9, 37, 17, 45, 25, 53, 21, 49, 13, 41, 5, 33)(3, 31, 11, 39, 19, 47, 27, 55, 26, 54, 18, 46, 10, 38, 6, 34, 14, 42, 22, 50, 28, 56, 24, 52, 16, 44, 8, 36)(57, 85, 59, 87, 60, 88, 62, 90)(58, 86, 64, 92, 65, 93, 66, 94)(61, 89, 67, 95, 68, 96, 70, 98)(63, 91, 72, 100, 73, 101, 74, 102)(69, 97, 75, 103, 76, 104, 78, 106)(71, 99, 80, 108, 81, 109, 82, 110)(77, 105, 83, 111, 79, 107, 84, 112)
	L = (1, 60)(2, 65)(3, 62)(4, 57)(5, 68)(6, 59)(7, 73)(8, 66)(9, 58)(10, 64)(11, 70)(12, 61)(13, 76)(14, 67)(15, 81)(16, 74)(17, 63)(18, 72)(19, 78)(20, 69)(21, 79)(22, 75)(23, 77)(24, 82)(25, 71)(26, 80)(27, 84)(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, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.281
Graph:: bipartite
	v = 9 e = 56 f = 11
	degree seq :: [ 8^7, 28^2 ]

E19.288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 14})
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^-1 * Y1, (R * Y3)^2, Y2^4, Y2^-1 * Y1 * Y2 * Y1, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^3 * Y2^-1 * Y1^-4 * Y2^-1, (Y3^-1 * Y1^-1)^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 13, 41, 21, 49, 26, 54, 18, 46, 10, 38, 16, 44, 24, 52, 27, 55, 19, 47, 11, 39, 4, 32)(3, 31, 9, 37, 17, 45, 25, 53, 23, 51, 15, 43, 8, 36, 5, 33, 12, 40, 20, 48, 28, 56, 22, 50, 14, 42, 7, 35)(57, 85, 59, 87, 66, 94, 61, 89)(58, 86, 63, 91, 72, 100, 64, 92)(60, 88, 65, 93, 74, 102, 68, 96)(62, 90, 70, 98, 80, 108, 71, 99)(67, 95, 73, 101, 82, 110, 76, 104)(69, 97, 78, 106, 83, 111, 79, 107)(75, 103, 81, 109, 77, 105, 84, 112)
	L = (1, 58)(2, 62)(3, 65)(4, 57)(5, 68)(6, 69)(7, 59)(8, 61)(9, 73)(10, 72)(11, 60)(12, 76)(13, 77)(14, 63)(15, 64)(16, 80)(17, 81)(18, 66)(19, 67)(20, 84)(21, 82)(22, 70)(23, 71)(24, 83)(25, 79)(26, 74)(27, 75)(28, 78)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.284
Graph:: bipartite
	v = 9 e = 56 f = 11
	degree seq :: [ 8^7, 28^2 ]

E19.289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 14})
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^-2 * Y1 * Y3^-1, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, Y1 * Y2 * Y1 * Y2^-1, Y3^-1 * Y1^-2 * Y2^-2, Y2 * Y1^-2 * Y3^-1 * Y2, Y1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 23, 51, 17, 45, 4, 32, 10, 38, 14, 42, 21, 49, 7, 35, 12, 40, 24, 52, 19, 47, 5, 33)(3, 31, 13, 41, 18, 46, 28, 56, 25, 53, 15, 43, 11, 39, 6, 34, 20, 48, 16, 44, 27, 55, 26, 54, 22, 50, 9, 37)(57, 85, 59, 87, 70, 98, 62, 90)(58, 86, 65, 93, 77, 105, 67, 95)(60, 88, 72, 100, 75, 103, 74, 102)(61, 89, 69, 97, 66, 94, 76, 104)(63, 91, 71, 99, 64, 92, 78, 106)(68, 96, 81, 109, 79, 107, 82, 110)(73, 101, 83, 111, 80, 108, 84, 112)
	L = (1, 60)(2, 66)(3, 71)(4, 68)(5, 73)(6, 78)(7, 57)(8, 70)(9, 81)(10, 80)(11, 82)(12, 58)(13, 67)(14, 75)(15, 83)(16, 59)(17, 63)(18, 62)(19, 79)(20, 65)(21, 61)(22, 84)(23, 77)(24, 64)(25, 72)(26, 74)(27, 69)(28, 76)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.286
Graph:: bipartite
	v = 9 e = 56 f = 11
	degree seq :: [ 8^7, 28^2 ]

E19.290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 14})
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^-3 * Y1^-1, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, (Y3^-1, Y1), Y2^4, Y2 * Y3 * Y2^-1 * Y3, Y1^-2 * Y2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y1^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 23, 51, 17, 45, 7, 35, 12, 40, 14, 42, 18, 46, 4, 32, 10, 38, 24, 52, 20, 48, 5, 33)(3, 31, 13, 41, 22, 50, 28, 56, 25, 53, 16, 44, 11, 39, 6, 34, 21, 49, 15, 43, 27, 55, 26, 54, 19, 47, 9, 37)(57, 85, 59, 87, 70, 98, 62, 90)(58, 86, 65, 93, 74, 102, 67, 95)(60, 88, 72, 100, 64, 92, 75, 103)(61, 89, 69, 97, 68, 96, 77, 105)(63, 91, 71, 99, 76, 104, 78, 106)(66, 94, 81, 109, 79, 107, 82, 110)(73, 101, 83, 111, 80, 108, 84, 112)
	L = (1, 60)(2, 66)(3, 71)(4, 73)(5, 74)(6, 78)(7, 57)(8, 80)(9, 77)(10, 63)(11, 69)(12, 58)(13, 83)(14, 64)(15, 81)(16, 59)(17, 61)(18, 79)(19, 62)(20, 70)(21, 84)(22, 82)(23, 76)(24, 68)(25, 65)(26, 67)(27, 72)(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, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.283
Graph:: bipartite
	v = 9 e = 56 f = 11
	degree seq :: [ 8^7, 28^2 ]

E19.291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 14})
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 * Y1^-3, Y2 * Y3 * Y2^-1 * Y3, (Y1^-1, Y3), (R * Y1)^2, Y2^4, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, R * Y2 * Y1 * R * Y2^-1, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2, Y3^4 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 4, 32, 10, 38, 24, 52, 17, 45, 14, 42, 22, 50, 28, 56, 20, 48, 7, 35, 12, 40, 5, 33)(3, 31, 13, 41, 26, 54, 15, 43, 18, 46, 25, 53, 11, 39, 6, 34, 19, 47, 27, 55, 21, 49, 16, 44, 23, 51, 9, 37)(57, 85, 59, 87, 70, 98, 62, 90)(58, 86, 65, 93, 78, 106, 67, 95)(60, 88, 72, 100, 76, 104, 74, 102)(61, 89, 69, 97, 73, 101, 75, 103)(63, 91, 71, 99, 66, 94, 77, 105)(64, 92, 79, 107, 84, 112, 81, 109)(68, 96, 82, 110, 80, 108, 83, 111)
	L = (1, 60)(2, 66)(3, 71)(4, 73)(5, 64)(6, 77)(7, 57)(8, 80)(9, 82)(10, 70)(11, 83)(12, 58)(13, 74)(14, 76)(15, 67)(16, 59)(17, 84)(18, 62)(19, 72)(20, 61)(21, 65)(22, 63)(23, 69)(24, 78)(25, 75)(26, 81)(27, 79)(28, 68)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.282
Graph:: bipartite
	v = 9 e = 56 f = 11
	degree seq :: [ 8^7, 28^2 ]

E19.292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 14})
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, Y1^-1 * Y3^-1 * Y1^-2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (Y1^-1, Y3), (R * Y1)^2, Y2^4, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1, Y1^-1 * Y2^2 * Y3^2, Y3^-3 * Y1^-1 * Y3^-2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 7, 35, 12, 40, 25, 53, 22, 50, 14, 42, 17, 45, 27, 55, 18, 46, 4, 32, 10, 38, 5, 33)(3, 31, 13, 41, 26, 54, 16, 44, 21, 49, 24, 52, 11, 39, 6, 34, 20, 48, 28, 56, 19, 47, 15, 43, 23, 51, 9, 37)(57, 85, 59, 87, 70, 98, 62, 90)(58, 86, 65, 93, 73, 101, 67, 95)(60, 88, 72, 100, 68, 96, 75, 103)(61, 89, 69, 97, 78, 106, 76, 104)(63, 91, 71, 99, 74, 102, 77, 105)(64, 92, 79, 107, 83, 111, 80, 108)(66, 94, 82, 110, 81, 109, 84, 112)
	L = (1, 60)(2, 66)(3, 71)(4, 73)(5, 74)(6, 77)(7, 57)(8, 61)(9, 75)(10, 83)(11, 72)(12, 58)(13, 79)(14, 68)(15, 76)(16, 59)(17, 81)(18, 70)(19, 62)(20, 80)(21, 69)(22, 63)(23, 84)(24, 82)(25, 64)(26, 65)(27, 78)(28, 67)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.285
Graph:: bipartite
	v = 9 e = 56 f = 11
	degree seq :: [ 8^7, 28^2 ]

E19.293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 14})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (Y1^-1, Y2^-1), (Y2^-1 * R)^2, (R * Y3)^2, Y2^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 4, 32, 5, 33)(3, 31, 7, 35, 10, 38, 11, 39)(6, 34, 8, 36, 12, 40, 13, 41)(9, 37, 15, 43, 18, 46, 19, 47)(14, 42, 16, 44, 20, 48, 21, 49)(17, 45, 23, 51, 25, 53, 26, 54)(22, 50, 24, 52, 27, 55, 28, 56)(57, 85, 59, 87, 65, 93, 73, 101, 78, 106, 70, 98, 62, 90)(58, 86, 63, 91, 71, 99, 79, 107, 80, 108, 72, 100, 64, 92)(60, 88, 66, 94, 74, 102, 81, 109, 83, 111, 76, 104, 68, 96)(61, 89, 67, 95, 75, 103, 82, 110, 84, 112, 77, 105, 69, 97)
	L = (1, 60)(2, 61)(3, 66)(4, 57)(5, 58)(6, 68)(7, 67)(8, 69)(9, 74)(10, 59)(11, 63)(12, 62)(13, 64)(14, 76)(15, 75)(16, 77)(17, 81)(18, 65)(19, 71)(20, 70)(21, 72)(22, 83)(23, 82)(24, 84)(25, 73)(26, 79)(27, 78)(28, 80)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 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 E19.294
Graph:: bipartite
	v = 11 e = 56 f = 9
	degree seq :: [ 8^7, 14^4 ]

E19.294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 14})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y3, (Y2^-1, Y1^-1), Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1^-7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 15, 43, 23, 51, 20, 48, 12, 40, 4, 32, 9, 37, 17, 45, 25, 53, 21, 49, 13, 41, 5, 33)(3, 31, 8, 36, 16, 44, 24, 52, 28, 56, 22, 50, 14, 42, 6, 34, 10, 38, 18, 46, 26, 54, 27, 55, 19, 47, 11, 39)(57, 85, 59, 87, 60, 88, 62, 90)(58, 86, 64, 92, 65, 93, 66, 94)(61, 89, 67, 95, 68, 96, 70, 98)(63, 91, 72, 100, 73, 101, 74, 102)(69, 97, 75, 103, 76, 104, 78, 106)(71, 99, 80, 108, 81, 109, 82, 110)(77, 105, 83, 111, 79, 107, 84, 112)
	L = (1, 60)(2, 65)(3, 62)(4, 57)(5, 68)(6, 59)(7, 73)(8, 66)(9, 58)(10, 64)(11, 70)(12, 61)(13, 76)(14, 67)(15, 81)(16, 74)(17, 63)(18, 72)(19, 78)(20, 69)(21, 79)(22, 75)(23, 77)(24, 82)(25, 71)(26, 80)(27, 84)(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, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.293
Graph:: bipartite
	v = 9 e = 56 f = 11
	degree seq :: [ 8^7, 28^2 ]

E19.295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y2^-1)^2, Y2^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, (Y3, Y2^-1), (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (Y2^-1 * R)^2, Y3^-1 * Y1 * Y3 * Y1, Y2^-2 * Y3^5, (Y2^-1 * Y3)^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, 79, 107, 71, 99, 60, 88, 68, 96, 62, 90, 69, 97, 78, 106, 80, 108, 70, 98, 61, 89)(58, 86, 63, 91, 72, 100, 81, 109, 83, 111, 76, 104, 64, 92, 73, 101, 66, 94, 74, 102, 82, 110, 84, 112, 75, 103, 65, 93)
	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, 78)(24, 77)(25, 74)(26, 72)(27, 82)(28, 81)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^4 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E19.306
Graph:: bipartite
	v = 16 e = 56 f = 4
	degree seq :: [ 4^14, 28^2 ]

E19.296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ 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, Y3^7 ]
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, 60, 88, 67, 95, 68, 96, 75, 103, 76, 104, 83, 111, 78, 106, 77, 105, 70, 98, 69, 97, 62, 90, 61, 89)(58, 86, 63, 91, 64, 92, 71, 99, 72, 100, 79, 107, 80, 108, 84, 112, 82, 110, 81, 109, 74, 102, 73, 101, 66, 94, 65, 93)
	L = (1, 60)(2, 64)(3, 67)(4, 68)(5, 59)(6, 57)(7, 71)(8, 72)(9, 63)(10, 58)(11, 75)(12, 76)(13, 61)(14, 62)(15, 79)(16, 80)(17, 65)(18, 66)(19, 83)(20, 78)(21, 69)(22, 70)(23, 84)(24, 82)(25, 73)(26, 74)(27, 77)(28, 81)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^4 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E19.303
Graph:: bipartite
	v = 16 e = 56 f = 4
	degree seq :: [ 4^14, 28^2 ]

E19.297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y3 * Y1, Y3^7, (Y3^3 * Y2^-1)^2, (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, 62, 90, 67, 95, 70, 98, 75, 103, 78, 106, 83, 111, 76, 104, 77, 105, 68, 96, 69, 97, 60, 88, 61, 89)(58, 86, 63, 91, 66, 94, 71, 99, 74, 102, 79, 107, 82, 110, 84, 112, 80, 108, 81, 109, 72, 100, 73, 101, 64, 92, 65, 93)
	L = (1, 60)(2, 64)(3, 61)(4, 68)(5, 69)(6, 57)(7, 65)(8, 72)(9, 73)(10, 58)(11, 59)(12, 76)(13, 77)(14, 62)(15, 63)(16, 80)(17, 81)(18, 66)(19, 67)(20, 78)(21, 83)(22, 70)(23, 71)(24, 82)(25, 84)(26, 74)(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 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E19.305
Graph:: bipartite
	v = 16 e = 56 f = 4
	degree seq :: [ 4^14, 28^2 ]

E19.298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y2^4, Y3^-2 * Y2 * Y3^-1 * Y2, Y3^7 ]
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, 19, 47)(12, 40, 20, 48)(13, 41, 21, 49)(14, 42, 22, 50)(15, 43, 23, 51)(16, 44, 24, 52)(17, 45, 25, 53)(18, 46, 26, 54)(27, 55, 28, 56)(57, 85, 59, 87, 67, 95, 73, 101, 62, 90, 69, 97, 70, 98, 83, 111, 74, 102, 71, 99, 60, 88, 68, 96, 72, 100, 61, 89)(58, 86, 63, 91, 75, 103, 81, 109, 66, 94, 77, 105, 78, 106, 84, 112, 82, 110, 79, 107, 64, 92, 76, 104, 80, 108, 65, 93)
	L = (1, 60)(2, 64)(3, 68)(4, 70)(5, 71)(6, 57)(7, 76)(8, 78)(9, 79)(10, 58)(11, 72)(12, 83)(13, 59)(14, 67)(15, 69)(16, 74)(17, 61)(18, 62)(19, 80)(20, 84)(21, 63)(22, 75)(23, 77)(24, 82)(25, 65)(26, 66)(27, 73)(28, 81)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^4 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E19.304
Graph:: bipartite
	v = 16 e = 56 f = 4
	degree seq :: [ 4^14, 28^2 ]

E19.299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (Y3, Y2), (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y2 * Y3^2 * Y2 * Y3, Y2^2 * Y3^-1 * Y2^2 ]
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, 19, 47)(12, 40, 20, 48)(13, 41, 21, 49)(14, 42, 22, 50)(15, 43, 23, 51)(16, 44, 24, 52)(17, 45, 25, 53)(18, 46, 26, 54)(27, 55, 28, 56)(57, 85, 59, 87, 67, 95, 71, 99, 60, 88, 68, 96, 74, 102, 83, 111, 70, 98, 73, 101, 62, 90, 69, 97, 72, 100, 61, 89)(58, 86, 63, 91, 75, 103, 79, 107, 64, 92, 76, 104, 82, 110, 84, 112, 78, 106, 81, 109, 66, 94, 77, 105, 80, 108, 65, 93)
	L = (1, 60)(2, 64)(3, 68)(4, 70)(5, 71)(6, 57)(7, 76)(8, 78)(9, 79)(10, 58)(11, 74)(12, 73)(13, 59)(14, 72)(15, 83)(16, 67)(17, 61)(18, 62)(19, 82)(20, 81)(21, 63)(22, 80)(23, 84)(24, 75)(25, 65)(26, 66)(27, 69)(28, 77)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^4 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E19.302
Graph:: bipartite
	v = 16 e = 56 f = 4
	degree seq :: [ 4^14, 28^2 ]

E19.300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-2 * Y2^-2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (Y3, Y2^-1), (Y2^-1 * R)^2, Y3^-1 * Y1 * Y3 * Y1, Y3^-2 * Y2^3 * Y1 * Y3^-2, Y3^14, Y2^14 ]
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, 84, 112, 75, 103, 65, 93, 58, 86, 63, 91, 72, 100, 81, 109, 80, 108, 70, 98, 61, 89)(60, 88, 68, 96, 62, 90, 69, 97, 78, 106, 83, 111, 76, 104, 64, 92, 73, 101, 66, 94, 74, 102, 82, 110, 79, 107, 71, 99)
	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, 81)(24, 82)(25, 74)(26, 72)(27, 77)(28, 78)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^4 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E19.308
Graph:: bipartite
	v = 16 e = 56 f = 4
	degree seq :: [ 4^14, 28^2 ]

E19.301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-2 * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y2 * Y1 * Y3^2, (R * Y1)^2, (Y2^-1 * R)^2, (Y3, Y2^-1), (R * Y3)^2, (Y2^-3 * Y3)^2, Y3^-3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 ]
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, 82, 110, 74, 102, 65, 93, 58, 86, 63, 91, 71, 99, 79, 107, 78, 106, 70, 98, 61, 89)(60, 88, 66, 94, 72, 100, 80, 108, 84, 112, 81, 109, 73, 101, 64, 92, 62, 90, 68, 96, 76, 104, 83, 111, 77, 105, 69, 97)
	L = (1, 60)(2, 64)(3, 66)(4, 65)(5, 69)(6, 57)(7, 62)(8, 61)(9, 73)(10, 58)(11, 72)(12, 59)(13, 74)(14, 77)(15, 68)(16, 63)(17, 70)(18, 81)(19, 80)(20, 67)(21, 82)(22, 83)(23, 76)(24, 71)(25, 78)(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 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E19.307
Graph:: bipartite
	v = 16 e = 56 f = 4
	degree seq :: [ 4^14, 28^2 ]

E19.302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y3^-1)^2, Y2^2 * Y1^-2, (Y1^-1 * Y3^-1)^2, (Y2^-1 * R)^2, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y3^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y3^-2 * Y1 * Y2^2 * Y1 * Y3^-1, Y3^-2 * Y1^12, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 25, 53, 16, 44, 4, 32, 10, 38, 7, 35, 12, 40, 21, 49, 26, 54, 15, 43, 5, 33)(3, 31, 9, 37, 20, 48, 28, 56, 17, 45, 24, 52, 13, 41, 22, 50, 14, 42, 23, 51, 27, 55, 18, 46, 6, 34, 11, 39)(57, 85, 59, 87, 64, 92, 76, 104, 81, 109, 73, 101, 60, 88, 69, 97, 63, 91, 70, 98, 77, 105, 83, 111, 71, 99, 62, 90)(58, 86, 65, 93, 75, 103, 84, 112, 72, 100, 80, 108, 66, 94, 78, 106, 68, 96, 79, 107, 82, 110, 74, 102, 61, 89, 67, 95)
	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, 77)(26, 75)(27, 76)(28, 79)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 4, 28, 4, 28, 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 E19.299
Graph:: bipartite
	v = 4 e = 56 f = 16
	degree seq :: [ 28^4 ]

E19.303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y3^2 * Y1^2, (Y1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y3)^2, Y3 * Y1^-6, Y3^7, (Y2 * Y1^-3)^2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 25, 53, 16, 44, 4, 32, 10, 38, 7, 35, 12, 40, 21, 49, 26, 54, 15, 43, 5, 33)(3, 31, 9, 37, 18, 46, 22, 50, 28, 56, 24, 52, 13, 41, 17, 45, 6, 34, 11, 39, 20, 48, 27, 55, 23, 51, 14, 42)(57, 85, 59, 87, 60, 88, 69, 97, 71, 99, 79, 107, 81, 109, 84, 112, 77, 105, 76, 104, 64, 92, 74, 102, 63, 91, 62, 90)(58, 86, 65, 93, 66, 94, 73, 101, 61, 89, 70, 98, 72, 100, 80, 108, 82, 110, 83, 111, 75, 103, 78, 106, 68, 96, 67, 95)
	L = (1, 60)(2, 66)(3, 69)(4, 71)(5, 72)(6, 59)(7, 57)(8, 63)(9, 73)(10, 61)(11, 65)(12, 58)(13, 79)(14, 80)(15, 81)(16, 82)(17, 70)(18, 62)(19, 68)(20, 74)(21, 64)(22, 67)(23, 84)(24, 83)(25, 77)(26, 75)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.296
Graph:: bipartite
	v = 4 e = 56 f = 16
	degree seq :: [ 28^4 ]

E19.304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (Y1, Y2^-1), Y3^-2 * Y1^-2, (Y3 * Y1)^2, (Y3^-1, Y1^-1), (Y1, Y2), Y1^2 * Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^2 * Y3^-5, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 23, 51, 16, 44, 4, 32, 10, 38, 7, 35, 12, 40, 21, 49, 24, 52, 15, 43, 5, 33)(3, 31, 9, 37, 20, 48, 27, 55, 25, 53, 18, 46, 6, 34, 11, 39, 14, 42, 22, 50, 28, 56, 26, 54, 17, 45, 13, 41)(57, 85, 59, 87, 63, 91, 70, 98, 64, 92, 76, 104, 77, 105, 84, 112, 79, 107, 81, 109, 71, 99, 73, 101, 60, 88, 62, 90)(58, 86, 65, 93, 68, 96, 78, 106, 75, 103, 83, 111, 80, 108, 82, 110, 72, 100, 74, 102, 61, 89, 69, 97, 66, 94, 67, 95)
	L = (1, 60)(2, 66)(3, 62)(4, 71)(5, 72)(6, 73)(7, 57)(8, 63)(9, 67)(10, 61)(11, 69)(12, 58)(13, 74)(14, 59)(15, 79)(16, 80)(17, 81)(18, 82)(19, 68)(20, 70)(21, 64)(22, 65)(23, 77)(24, 75)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.298
Graph:: bipartite
	v = 4 e = 56 f = 16
	degree seq :: [ 28^4 ]

E19.305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1)^2, Y1^-1 * Y3^-2 * Y1^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y1), (Y2, Y3^-1), Y3 * Y2^4, Y3^-1 * Y2 * Y3^-2 * Y2, Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y1^2 * Y2^2, Y1^-1 * Y2 * Y3^2 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 23, 51, 13, 41, 18, 46, 4, 32, 10, 38, 7, 35, 12, 40, 21, 49, 27, 55, 17, 45, 5, 33)(3, 31, 9, 37, 19, 47, 26, 54, 22, 50, 28, 56, 14, 42, 25, 53, 16, 44, 20, 48, 6, 34, 11, 39, 24, 52, 15, 43)(57, 85, 59, 87, 69, 97, 78, 106, 63, 91, 72, 100, 73, 101, 80, 108, 64, 92, 75, 103, 60, 88, 70, 98, 77, 105, 62, 90)(58, 86, 65, 93, 74, 102, 84, 112, 68, 96, 76, 104, 61, 89, 71, 99, 79, 107, 82, 110, 66, 94, 81, 109, 83, 111, 67, 95)
	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, 77)(14, 80)(15, 84)(16, 59)(17, 69)(18, 83)(19, 72)(20, 65)(21, 64)(22, 62)(23, 68)(24, 78)(25, 71)(26, 76)(27, 79)(28, 67)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 4, 28, 4, 28, 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 E19.297
Graph:: bipartite
	v = 4 e = 56 f = 16
	degree seq :: [ 28^4 ]

E19.306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1)^2, (R * Y3)^2, Y1^-2 * Y3^-2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), (Y2, Y1^-1), Y3 * Y2^-4, Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y1^-3 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 23, 51, 21, 49, 18, 46, 4, 32, 10, 38, 7, 35, 12, 40, 13, 41, 25, 53, 17, 45, 5, 33)(3, 31, 9, 37, 24, 52, 20, 48, 6, 34, 11, 39, 14, 42, 26, 54, 16, 44, 27, 55, 19, 47, 28, 56, 22, 50, 15, 43)(57, 85, 59, 87, 69, 97, 75, 103, 60, 88, 70, 98, 64, 92, 80, 108, 73, 101, 78, 106, 63, 91, 72, 100, 77, 105, 62, 90)(58, 86, 65, 93, 81, 109, 84, 112, 66, 94, 82, 110, 79, 107, 76, 104, 61, 89, 71, 99, 68, 96, 83, 111, 74, 102, 67, 95)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 63)(9, 82)(10, 61)(11, 84)(12, 58)(13, 64)(14, 78)(15, 67)(16, 59)(17, 77)(18, 81)(19, 80)(20, 83)(21, 69)(22, 62)(23, 68)(24, 72)(25, 79)(26, 71)(27, 65)(28, 76)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 4, 28, 4, 28, 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 E19.295
Graph:: bipartite
	v = 4 e = 56 f = 16
	degree seq :: [ 28^4 ]

E19.307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1^-1)^2, Y2^-3 * Y1^-1, (Y2, Y1), (Y3^-1, Y1^-1), Y3^2 * Y1^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), (R * Y1)^2, Y1^-1 * Y2^-1 * Y1^-4, Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y1^-1, (Y3 * Y2 * Y1^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 21, 49, 13, 41, 6, 34, 11, 39, 23, 51, 15, 43, 3, 31, 9, 37, 22, 50, 17, 45, 5, 33)(4, 32, 10, 38, 7, 35, 12, 40, 24, 52, 19, 47, 27, 55, 20, 48, 28, 56, 14, 42, 25, 53, 16, 44, 26, 54, 18, 46)(57, 85, 59, 87, 69, 97, 61, 89, 71, 99, 77, 105, 73, 101, 79, 107, 64, 92, 78, 106, 67, 95, 58, 86, 65, 93, 62, 90)(60, 88, 70, 98, 80, 108, 74, 102, 84, 112, 68, 96, 82, 110, 76, 104, 63, 91, 72, 100, 83, 111, 66, 94, 81, 109, 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, 80)(14, 79)(15, 84)(16, 59)(17, 82)(18, 78)(19, 77)(20, 62)(21, 68)(22, 72)(23, 76)(24, 64)(25, 71)(26, 65)(27, 69)(28, 67)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 4, 28, 4, 28, 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 E19.301
Graph:: bipartite
	v = 4 e = 56 f = 16
	degree seq :: [ 28^4 ]

E19.308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), (Y1^-1 * Y3^-1)^2, (Y3^-1, Y2), Y2 * Y1^-1 * Y2^2, Y3^2 * Y1^2, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y3 * Y2^-2 * Y3 * Y1^-2, Y1^-4 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, 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 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 21, 49, 14, 42, 3, 31, 9, 37, 22, 50, 19, 47, 6, 34, 11, 39, 23, 51, 16, 44, 5, 33)(4, 32, 10, 38, 7, 35, 12, 40, 24, 52, 13, 41, 25, 53, 15, 43, 26, 54, 18, 46, 27, 55, 20, 48, 28, 56, 17, 45)(57, 85, 59, 87, 67, 95, 58, 86, 65, 93, 79, 107, 64, 92, 78, 106, 72, 100, 77, 105, 75, 103, 61, 89, 70, 98, 62, 90)(60, 88, 69, 97, 83, 111, 66, 94, 81, 109, 76, 104, 63, 91, 71, 99, 84, 112, 68, 96, 82, 110, 73, 101, 80, 108, 74, 102)
	L = (1, 60)(2, 66)(3, 69)(4, 72)(5, 73)(6, 74)(7, 57)(8, 63)(9, 81)(10, 61)(11, 83)(12, 58)(13, 77)(14, 80)(15, 59)(16, 84)(17, 79)(18, 78)(19, 82)(20, 62)(21, 68)(22, 71)(23, 76)(24, 64)(25, 70)(26, 65)(27, 75)(28, 67)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 4, 28, 4, 28, 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 E19.300
Graph:: bipartite
	v = 4 e = 56 f = 16
	degree seq :: [ 28^4 ]

E19.309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y2^-2 * Y1 * Y3^-2, Y2^2 * Y1 * Y3^2, Y3^4 * Y2^-3, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-2, Y2^7 ]
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, 18, 46)(12, 40, 17, 45)(13, 41, 19, 47)(14, 42, 16, 44)(15, 43, 20, 48)(21, 49, 23, 51)(22, 50, 28, 56)(24, 52, 26, 54)(25, 53, 27, 55)(57, 85, 59, 87, 67, 95, 77, 105, 83, 111, 72, 100, 61, 89)(58, 86, 63, 91, 74, 102, 79, 107, 81, 109, 70, 98, 65, 93)(60, 88, 68, 96, 66, 94, 75, 103, 84, 112, 82, 110, 71, 99)(62, 90, 69, 97, 78, 106, 80, 108, 76, 104, 64, 92, 73, 101)
	L = (1, 60)(2, 64)(3, 68)(4, 70)(5, 71)(6, 57)(7, 73)(8, 72)(9, 76)(10, 58)(11, 66)(12, 65)(13, 59)(14, 80)(15, 81)(16, 82)(17, 61)(18, 62)(19, 63)(20, 83)(21, 75)(22, 67)(23, 69)(24, 77)(25, 78)(26, 79)(27, 84)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 56^4 ), ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E19.322
Graph:: simple bipartite
	v = 18 e = 56 f = 2
	degree seq :: [ 4^14, 14^4 ]

E19.310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2 * Y1, Y2 * Y3^2 * Y1, (R * Y1)^2, (Y3, Y2^-1), (R * Y3)^2, (Y2^-1 * R)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^7, Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 ]
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, 66, 94, 72, 100, 80, 108, 84, 112, 77, 105, 69, 97)(62, 90, 68, 96, 76, 104, 83, 111, 81, 109, 73, 101, 64, 92)
	L = (1, 60)(2, 64)(3, 66)(4, 65)(5, 69)(6, 57)(7, 62)(8, 61)(9, 73)(10, 58)(11, 72)(12, 59)(13, 74)(14, 77)(15, 68)(16, 63)(17, 70)(18, 81)(19, 80)(20, 67)(21, 82)(22, 84)(23, 76)(24, 71)(25, 78)(26, 83)(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) :: { ( 56^4 ), ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E19.321
Graph:: simple bipartite
	v = 18 e = 56 f = 2
	degree seq :: [ 4^14, 14^4 ]

E19.311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, (Y1, Y2^-1), Y3^-2 * Y1^-2, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^6, Y1^7, Y2 * Y1^-2 * Y3 * Y2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 26, 54, 15, 43, 5, 33)(3, 31, 9, 37, 18, 46, 22, 50, 28, 56, 23, 51, 14, 42)(4, 32, 10, 38, 7, 35, 12, 40, 21, 49, 25, 53, 16, 44)(6, 34, 11, 39, 20, 48, 27, 55, 24, 52, 13, 41, 17, 45)(57, 85, 59, 87, 60, 88, 69, 97, 71, 99, 79, 107, 81, 109, 83, 111, 75, 103, 78, 106, 68, 96, 67, 95, 58, 86, 65, 93, 66, 94, 73, 101, 61, 89, 70, 98, 72, 100, 80, 108, 82, 110, 84, 112, 77, 105, 76, 104, 64, 92, 74, 102, 63, 91, 62, 90)
	L = (1, 60)(2, 66)(3, 69)(4, 71)(5, 72)(6, 59)(7, 57)(8, 63)(9, 73)(10, 61)(11, 65)(12, 58)(13, 79)(14, 80)(15, 81)(16, 82)(17, 70)(18, 62)(19, 68)(20, 74)(21, 64)(22, 67)(23, 83)(24, 84)(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, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E19.317
Graph:: bipartite
	v = 5 e = 56 f = 15
	degree seq :: [ 14^4, 56 ]

E19.312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, (Y3^-1, Y1^-1), Y1^2 * Y3^2, (R * Y1)^2, (Y2^-1, Y1), (R * Y3)^2, (R * Y2)^2, Y1 * Y3^-6, Y1^7, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 24, 52, 15, 43, 5, 33)(3, 31, 9, 37, 20, 48, 27, 55, 26, 54, 17, 45, 13, 41)(4, 32, 10, 38, 7, 35, 12, 40, 21, 49, 23, 51, 16, 44)(6, 34, 11, 39, 14, 42, 22, 50, 28, 56, 25, 53, 18, 46)(57, 85, 59, 87, 63, 91, 70, 98, 64, 92, 76, 104, 77, 105, 84, 112, 80, 108, 82, 110, 72, 100, 74, 102, 61, 89, 69, 97, 66, 94, 67, 95, 58, 86, 65, 93, 68, 96, 78, 106, 75, 103, 83, 111, 79, 107, 81, 109, 71, 99, 73, 101, 60, 88, 62, 90)
	L = (1, 60)(2, 66)(3, 62)(4, 71)(5, 72)(6, 73)(7, 57)(8, 63)(9, 67)(10, 61)(11, 69)(12, 58)(13, 74)(14, 59)(15, 79)(16, 80)(17, 81)(18, 82)(19, 68)(20, 70)(21, 64)(22, 65)(23, 75)(24, 77)(25, 83)(26, 84)(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, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E19.319
Graph:: bipartite
	v = 5 e = 56 f = 15
	degree seq :: [ 14^4, 56 ]

E19.313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-1 * Y3, Y2 * Y3 * Y2 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y2^-1, (Y3 * Y1)^2, Y2^-2 * Y1 * Y3^-1, (Y3, Y2^-1), (Y2^-1 * R)^2, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y3^-2, Y3^-1 * Y1^3 * Y3^-3, Y3^-1 * Y1 * Y2^26, (Y2^-1 * Y3)^28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 26, 54, 15, 43, 5, 33)(3, 31, 9, 37, 20, 48, 28, 56, 17, 45, 24, 52, 13, 41)(4, 32, 10, 38, 7, 35, 12, 40, 22, 50, 25, 53, 16, 44)(6, 34, 11, 39, 21, 49, 14, 42, 23, 51, 27, 55, 18, 46)(57, 85, 59, 87, 68, 96, 79, 107, 82, 110, 73, 101, 60, 88, 67, 95, 58, 86, 65, 93, 78, 106, 83, 111, 71, 99, 80, 108, 66, 94, 77, 105, 64, 92, 76, 104, 81, 109, 74, 102, 61, 89, 69, 97, 63, 91, 70, 98, 75, 103, 84, 112, 72, 100, 62, 90)
	L = (1, 60)(2, 66)(3, 67)(4, 71)(5, 72)(6, 73)(7, 57)(8, 63)(9, 77)(10, 61)(11, 80)(12, 58)(13, 62)(14, 59)(15, 81)(16, 82)(17, 83)(18, 84)(19, 68)(20, 70)(21, 69)(22, 64)(23, 65)(24, 74)(25, 75)(26, 78)(27, 76)(28, 79)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E19.318
Graph:: bipartite
	v = 5 e = 56 f = 15
	degree seq :: [ 14^4, 56 ]

E19.314 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1^-2, (Y2, Y3^-1), (Y2, Y1^-1), Y1^-2 * Y3 * Y2^-2, Y1 * Y3^-1 * Y2^2 * Y1, Y2^-1 * Y1 * Y2^-3, Y3^-1 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 23, 51, 28, 56, 17, 45, 5, 33)(3, 31, 9, 37, 19, 47, 26, 54, 22, 50, 27, 55, 15, 43)(4, 32, 10, 38, 7, 35, 12, 40, 21, 49, 13, 41, 18, 46)(6, 34, 11, 39, 24, 52, 14, 42, 25, 53, 16, 44, 20, 48)(57, 85, 59, 87, 69, 97, 67, 95, 58, 86, 65, 93, 74, 102, 80, 108, 64, 92, 75, 103, 60, 88, 70, 98, 79, 107, 82, 110, 66, 94, 81, 109, 84, 112, 78, 106, 63, 91, 72, 100, 73, 101, 83, 111, 68, 96, 76, 104, 61, 89, 71, 99, 77, 105, 62, 90)
	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, 79)(14, 83)(15, 80)(16, 59)(17, 69)(18, 84)(19, 72)(20, 65)(21, 64)(22, 62)(23, 68)(24, 78)(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, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E19.316
Graph:: bipartite
	v = 5 e = 56 f = 15
	degree seq :: [ 14^4, 56 ]

E19.315 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), (Y3^-1 * Y1^-1)^2, (Y2, Y3^-1), (R * Y2)^2, Y3^2 * Y1^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y3 * Y2^2, Y2^2 * Y3 * Y1^-2, Y2 * Y1 * Y2^3, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 23, 51, 28, 56, 17, 45, 5, 33)(3, 31, 9, 37, 24, 52, 19, 47, 27, 55, 22, 50, 15, 43)(4, 32, 10, 38, 7, 35, 12, 40, 13, 41, 21, 49, 18, 46)(6, 34, 11, 39, 14, 42, 25, 53, 16, 44, 26, 54, 20, 48)(57, 85, 59, 87, 69, 97, 76, 104, 61, 89, 71, 99, 68, 96, 82, 110, 73, 101, 78, 106, 63, 91, 72, 100, 84, 112, 83, 111, 66, 94, 81, 109, 79, 107, 75, 103, 60, 88, 70, 98, 64, 92, 80, 108, 74, 102, 67, 95, 58, 86, 65, 93, 77, 105, 62, 90)
	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, 64)(14, 78)(15, 67)(16, 59)(17, 77)(18, 84)(19, 82)(20, 80)(21, 79)(22, 62)(23, 68)(24, 72)(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, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E19.320
Graph:: bipartite
	v = 5 e = 56 f = 15
	degree seq :: [ 14^4, 56 ]

E19.316 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^2 * Y3^-1, Y1 * Y2 * Y1^-1 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^7 * Y2, (Y3^-1 * Y1^-1)^28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 4, 32, 8, 36, 12, 40, 16, 44, 20, 48, 24, 52, 27, 55, 26, 54, 19, 47, 18, 46, 11, 39, 10, 38, 3, 31, 7, 35, 9, 37, 15, 43, 17, 45, 23, 51, 25, 53, 28, 56, 22, 50, 21, 49, 14, 42, 13, 41, 6, 34, 5, 33)(57, 85, 59, 87)(58, 86, 63, 91)(60, 88, 65, 93)(61, 89, 66, 94)(62, 90, 67, 95)(64, 92, 71, 99)(68, 96, 73, 101)(69, 97, 74, 102)(70, 98, 75, 103)(72, 100, 79, 107)(76, 104, 81, 109)(77, 105, 82, 110)(78, 106, 83, 111)(80, 108, 84, 112)
	L = (1, 60)(2, 64)(3, 65)(4, 68)(5, 58)(6, 57)(7, 71)(8, 72)(9, 73)(10, 63)(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, 82)(25, 78)(26, 74)(27, 75)(28, 77)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E19.314
Graph:: bipartite
	v = 15 e = 56 f = 5
	degree seq :: [ 4^14, 56 ]

E19.317 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^2 * Y3, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y1)^2, (R * Y2)^2, Y3^7 * Y2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 8, 36, 14, 42, 16, 44, 22, 50, 24, 52, 25, 53, 26, 54, 17, 45, 18, 46, 9, 37, 10, 38, 3, 31, 7, 35, 11, 39, 15, 43, 19, 47, 23, 51, 27, 55, 28, 56, 20, 48, 21, 49, 12, 40, 13, 41, 4, 32, 5, 33)(57, 85, 59, 87)(58, 86, 63, 91)(60, 88, 65, 93)(61, 89, 66, 94)(62, 90, 67, 95)(64, 92, 71, 99)(68, 96, 73, 101)(69, 97, 74, 102)(70, 98, 75, 103)(72, 100, 79, 107)(76, 104, 81, 109)(77, 105, 82, 110)(78, 106, 83, 111)(80, 108, 84, 112)
	L = (1, 60)(2, 61)(3, 65)(4, 68)(5, 69)(6, 57)(7, 66)(8, 58)(9, 73)(10, 74)(11, 59)(12, 76)(13, 77)(14, 62)(15, 63)(16, 64)(17, 81)(18, 82)(19, 67)(20, 83)(21, 84)(22, 70)(23, 71)(24, 72)(25, 78)(26, 80)(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) :: { ( 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E19.311
Graph:: bipartite
	v = 15 e = 56 f = 5
	degree seq :: [ 4^14, 56 ]

E19.318 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1, Y3^-1), Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y1 * Y3^-2 * Y1, Y3^-1 * Y1^-1 * Y2 * Y1^-3, Y3 * Y2 * Y1 * Y3^3 * Y1, (Y1^2 * Y2 * Y3^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 19, 47, 13, 41, 23, 51, 25, 53, 28, 56, 18, 46, 15, 43, 4, 32, 9, 37, 21, 49, 12, 40, 3, 31, 8, 36, 20, 48, 17, 45, 6, 34, 10, 38, 14, 42, 24, 52, 27, 55, 26, 54, 11, 39, 22, 50, 16, 44, 5, 33)(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, 78, 106)(66, 94, 79, 107)(70, 98, 81, 109)(71, 99, 82, 110)(72, 100, 77, 105)(73, 101, 75, 103)(74, 102, 83, 111)(80, 108, 84, 112)
	L = (1, 60)(2, 65)(3, 67)(4, 70)(5, 71)(6, 57)(7, 77)(8, 78)(9, 80)(10, 58)(11, 81)(12, 82)(13, 59)(14, 63)(15, 66)(16, 74)(17, 61)(18, 62)(19, 68)(20, 72)(21, 83)(22, 84)(23, 64)(24, 75)(25, 76)(26, 79)(27, 69)(28, 73)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E19.313
Graph:: bipartite
	v = 15 e = 56 f = 5
	degree seq :: [ 4^14, 56 ]

E19.319 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y2 * Y3 * Y2 * Y3^-1, (Y3, Y1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y1 * Y3^2 * Y1 * Y3, Y3 * Y2 * Y1^-4, Y2 * Y3^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 19, 47, 11, 39, 22, 50, 27, 55, 28, 56, 14, 42, 17, 45, 6, 34, 10, 38, 21, 49, 12, 40, 3, 31, 8, 36, 20, 48, 15, 43, 4, 32, 9, 37, 18, 46, 24, 52, 25, 53, 26, 54, 13, 41, 23, 51, 16, 44, 5, 33)(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, 78, 106)(66, 94, 79, 107)(70, 98, 81, 109)(71, 99, 75, 103)(72, 100, 77, 105)(73, 101, 82, 110)(74, 102, 83, 111)(80, 108, 84, 112)
	L = (1, 60)(2, 65)(3, 67)(4, 70)(5, 71)(6, 57)(7, 74)(8, 78)(9, 73)(10, 58)(11, 81)(12, 75)(13, 59)(14, 72)(15, 84)(16, 76)(17, 61)(18, 62)(19, 80)(20, 83)(21, 63)(22, 82)(23, 64)(24, 66)(25, 77)(26, 68)(27, 69)(28, 79)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E19.312
Graph:: bipartite
	v = 15 e = 56 f = 5
	degree seq :: [ 4^14, 56 ]

E19.320 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y3)^2, (Y3, Y1), (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y2 * Y1 * Y2, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1^2 * Y3^-2, Y2 * Y1^-2 * Y3^2, Y1^3 * Y3 * Y1^3, Y1 * Y3 * Y1 * Y3^4 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 19, 47, 26, 54, 17, 45, 6, 34, 10, 38, 11, 39, 21, 49, 24, 52, 27, 55, 18, 46, 12, 40, 3, 31, 8, 36, 14, 42, 22, 50, 28, 56, 23, 51, 13, 41, 15, 43, 4, 32, 9, 37, 20, 48, 25, 53, 16, 44, 5, 33)(57, 85, 59, 87)(58, 86, 64, 92)(60, 88, 67, 95)(61, 89, 68, 96)(62, 90, 69, 97)(63, 91, 70, 98)(65, 93, 77, 105)(66, 94, 71, 99)(72, 100, 74, 102)(73, 101, 79, 107)(75, 103, 78, 106)(76, 104, 80, 108)(81, 109, 83, 111)(82, 110, 84, 112)
	L = (1, 60)(2, 65)(3, 67)(4, 70)(5, 71)(6, 57)(7, 76)(8, 77)(9, 78)(10, 58)(11, 63)(12, 66)(13, 59)(14, 80)(15, 64)(16, 69)(17, 61)(18, 62)(19, 81)(20, 84)(21, 75)(22, 83)(23, 68)(24, 82)(25, 79)(26, 72)(27, 73)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E19.315
Graph:: bipartite
	v = 15 e = 56 f = 5
	degree seq :: [ 4^14, 56 ]

E19.321 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y3^-2 * Y2^-1, Y2 * Y1 * Y3^2, (Y3^-1 * Y2)^2, (R * Y2)^2, Y3^2 * Y2^-2, (Y3^-1, Y1^-1), (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y3^-1 * Y1^-3, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^3 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 14, 42, 7, 35, 12, 40, 23, 51, 15, 43, 3, 31, 9, 37, 20, 48, 27, 55, 25, 53, 16, 44, 24, 52, 28, 56, 26, 54, 13, 41, 6, 34, 11, 39, 22, 50, 17, 45, 4, 32, 10, 38, 21, 49, 18, 46, 5, 33)(57, 85, 59, 87, 69, 97, 61, 89, 71, 99, 82, 110, 74, 102, 79, 107, 84, 112, 77, 105, 68, 96, 80, 108, 66, 94, 63, 91, 72, 100, 60, 88, 70, 98, 81, 109, 73, 101, 75, 103, 83, 111, 78, 106, 64, 92, 76, 104, 67, 95, 58, 86, 65, 93, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 69)(5, 73)(6, 72)(7, 57)(8, 77)(9, 63)(10, 62)(11, 80)(12, 58)(13, 81)(14, 61)(15, 75)(16, 59)(17, 82)(18, 78)(19, 74)(20, 68)(21, 67)(22, 84)(23, 64)(24, 65)(25, 71)(26, 83)(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, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 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 E19.310
Graph:: bipartite
	v = 2 e = 56 f = 18
	degree seq :: [ 56^2 ]

E19.322 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), (Y2^-1 * Y3)^2, Y3^2 * Y2^-2, Y3^-1 * Y1^3, (Y2, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1, Y3 * Y2^2 * Y3 * Y2 * Y1^-1, Y3^4 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 4, 32, 10, 38, 22, 50, 13, 41, 24, 52, 20, 48, 28, 56, 17, 45, 6, 34, 11, 39, 23, 51, 16, 44, 26, 54, 15, 43, 3, 31, 9, 37, 21, 49, 14, 42, 25, 53, 19, 47, 27, 55, 18, 46, 7, 35, 12, 40, 5, 33)(57, 85, 59, 87, 69, 97, 83, 111, 67, 95, 58, 86, 65, 93, 80, 108, 74, 102, 79, 107, 64, 92, 77, 105, 76, 104, 63, 91, 72, 100, 60, 88, 70, 98, 84, 112, 68, 96, 82, 110, 66, 94, 81, 109, 73, 101, 61, 89, 71, 99, 78, 106, 75, 103, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 69)(5, 64)(6, 72)(7, 57)(8, 78)(9, 81)(10, 80)(11, 82)(12, 58)(13, 84)(14, 83)(15, 77)(16, 59)(17, 79)(18, 61)(19, 63)(20, 62)(21, 75)(22, 76)(23, 71)(24, 73)(25, 74)(26, 65)(27, 68)(28, 67)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 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 E19.309
Graph:: bipartite
	v = 2 e = 56 f = 18
	degree seq :: [ 56^2 ]

E19.323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6, 10})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3, Y2), (R * Y1)^2, (R * Y3)^2, (Y1, Y3), (R * Y2)^2, (Y2^-1, Y1), Y2^2 * Y3^-2 * Y1, Y2^5, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1, (Y3^-1 * Y2 * Y1^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2^-2 * Y3^-2 * 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, 31, 2, 32, 5, 35)(3, 33, 8, 38, 14, 44)(4, 34, 9, 39, 17, 47)(6, 36, 10, 40, 19, 49)(7, 37, 11, 41, 20, 50)(12, 42, 16, 46, 25, 55)(13, 43, 24, 54, 29, 59)(15, 45, 18, 48, 26, 56)(21, 51, 27, 57, 23, 53)(22, 52, 28, 58, 30, 60)(61, 91, 63, 93, 72, 102, 81, 111, 66, 96)(62, 92, 68, 98, 76, 106, 87, 117, 70, 100)(64, 94, 73, 103, 88, 118, 71, 101, 78, 108)(65, 95, 74, 104, 85, 115, 83, 113, 79, 109)(67, 97, 75, 105, 77, 107, 89, 119, 82, 112)(69, 99, 84, 114, 90, 120, 80, 110, 86, 116)
	L = (1, 64)(2, 69)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 84)(9, 85)(10, 86)(11, 62)(12, 88)(13, 87)(14, 89)(15, 63)(16, 90)(17, 72)(18, 68)(19, 75)(20, 65)(21, 71)(22, 66)(23, 67)(24, 83)(25, 82)(26, 74)(27, 80)(28, 70)(29, 81)(30, 79)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 20, 12, 20, 12, 20 ), ( 12, 20, 12, 20, 12, 20, 12, 20, 12, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.326
Graph:: simple bipartite
	v = 16 e = 60 f = 8
	degree seq :: [ 6^10, 10^6 ]

E19.324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6, 10})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2^-1), Y3^-1 * Y1^-1 * Y2^-2, Y2 * Y3 * Y2 * Y1, (Y2^-1 * R)^2, (Y1^-1, Y3^-1), Y2^-2 * Y1^-1 * Y3^-1, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y1^2 * Y3^-3, Y1^5, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2^4, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 5, 35)(3, 33, 9, 39, 22, 52, 30, 60, 15, 45)(4, 34, 10, 40, 23, 53, 21, 51, 18, 48)(6, 36, 11, 41, 24, 54, 29, 59, 14, 44)(7, 37, 12, 42, 17, 47, 26, 56, 13, 43)(16, 46, 25, 55, 28, 58, 19, 49, 27, 57)(61, 91, 63, 93, 73, 103, 87, 117, 70, 100, 66, 96)(62, 92, 69, 99, 67, 97, 76, 106, 83, 113, 71, 101)(64, 94, 74, 104, 65, 95, 75, 105, 86, 116, 79, 109)(68, 98, 82, 112, 72, 102, 85, 115, 81, 111, 84, 114)(77, 107, 88, 118, 78, 108, 89, 119, 80, 110, 90, 120)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 83)(9, 66)(10, 86)(11, 87)(12, 62)(13, 65)(14, 88)(15, 89)(16, 63)(17, 68)(18, 72)(19, 90)(20, 81)(21, 67)(22, 71)(23, 73)(24, 76)(25, 69)(26, 80)(27, 75)(28, 82)(29, 85)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.325
Graph:: bipartite
	v = 11 e = 60 f = 13
	degree seq :: [ 10^6, 12^5 ]

E19.325 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6, 10})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y3^-1, Y2^-1), (Y2, Y1), (R * Y3)^2, (Y1^-1, Y3), (R * Y1)^2, (R * Y2)^2, Y1^2 * Y3^-3, Y3^-2 * Y2^-1 * Y1^-2, Y2 * Y1^2 * Y3^2, Y1^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 18, 48, 27, 57, 15, 45, 26, 56, 19, 49, 5, 35)(3, 33, 9, 39, 23, 53, 17, 47, 4, 34, 10, 40, 22, 52, 28, 58, 30, 60, 14, 44)(6, 36, 11, 41, 25, 55, 29, 59, 13, 43, 21, 51, 7, 37, 12, 42, 16, 46, 20, 50)(61, 91, 63, 93, 66, 96)(62, 92, 69, 99, 71, 101)(64, 94, 73, 103, 78, 108)(65, 95, 74, 104, 80, 110)(67, 97, 75, 105, 82, 112)(68, 98, 83, 113, 85, 115)(70, 100, 81, 111, 87, 117)(72, 102, 86, 116, 88, 118)(76, 106, 79, 109, 90, 120)(77, 107, 89, 119, 84, 114)
	L = (1, 64)(2, 70)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 82)(9, 81)(10, 80)(11, 87)(12, 62)(13, 79)(14, 89)(15, 63)(16, 68)(17, 72)(18, 90)(19, 83)(20, 84)(21, 65)(22, 66)(23, 67)(24, 88)(25, 75)(26, 69)(27, 74)(28, 71)(29, 86)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 12, 10, 12, 10, 12 ), ( 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.324
Graph:: bipartite
	v = 13 e = 60 f = 11
	degree seq :: [ 6^10, 20^3 ]

E19.326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6, 10})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y1^-2, (R * Y2)^2, Y2 * Y1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1), Y1^-1 * Y2^2 * Y3^-2 * Y1^-1, Y3 * Y2^2 * Y3 * Y2 * Y1^-1, Y3^3 * Y2 * Y3 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y1^-2, Y2^10, Y3^2 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 16, 46, 5, 35)(3, 33, 9, 39, 4, 34, 10, 40, 23, 53, 15, 45)(6, 36, 11, 41, 24, 54, 18, 48, 7, 37, 12, 42)(13, 43, 25, 55, 14, 44, 26, 56, 17, 47, 27, 57)(19, 49, 28, 58, 21, 51, 30, 60, 20, 50, 29, 59)(61, 91, 63, 93, 73, 103, 90, 120, 78, 108, 82, 112, 70, 100, 86, 116, 79, 109, 66, 96)(62, 92, 69, 99, 85, 115, 80, 110, 67, 97, 76, 106, 83, 113, 77, 107, 88, 118, 71, 101)(64, 94, 74, 104, 89, 119, 72, 102, 65, 95, 75, 105, 87, 117, 81, 111, 84, 114, 68, 98)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 69)(6, 68)(7, 61)(8, 83)(9, 86)(10, 87)(11, 82)(12, 62)(13, 89)(14, 88)(15, 85)(16, 63)(17, 90)(18, 65)(19, 84)(20, 66)(21, 67)(22, 75)(23, 73)(24, 76)(25, 79)(26, 81)(27, 80)(28, 78)(29, 71)(30, 72)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.323
Graph:: bipartite
	v = 8 e = 60 f = 16
	degree seq :: [ 12^5, 20^3 ]

E19.327 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6, 10})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y1^3, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3, Y2), Y3^-1 * Y2^-1 * Y3^-4, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 6, 36)(4, 34, 9, 39, 14, 44)(7, 37, 10, 40, 16, 46)(11, 41, 19, 49, 15, 45)(12, 42, 20, 50, 17, 47)(13, 43, 21, 51, 26, 56)(18, 48, 22, 52, 28, 58)(23, 53, 29, 59, 27, 57)(24, 54, 30, 60, 25, 55)(61, 91, 63, 93, 62, 92, 68, 98, 65, 95, 66, 96)(64, 94, 71, 101, 69, 99, 79, 109, 74, 104, 75, 105)(67, 97, 72, 102, 70, 100, 80, 110, 76, 106, 77, 107)(73, 103, 83, 113, 81, 111, 89, 119, 86, 116, 87, 117)(78, 108, 84, 114, 82, 112, 90, 120, 88, 118, 85, 115)
	L = (1, 64)(2, 69)(3, 71)(4, 73)(5, 74)(6, 75)(7, 61)(8, 79)(9, 81)(10, 62)(11, 83)(12, 63)(13, 85)(14, 86)(15, 87)(16, 65)(17, 66)(18, 67)(19, 89)(20, 68)(21, 84)(22, 70)(23, 78)(24, 72)(25, 77)(26, 90)(27, 88)(28, 76)(29, 82)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.328
Graph:: bipartite
	v = 15 e = 60 f = 9
	degree seq :: [ 6^10, 12^5 ]

E19.328 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6, 10})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2), Y2^2 * Y1^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, (Y3, Y1), (R * Y3)^2, (Y2^-1, Y1^-1), Y3^-3 * Y1^2, Y2^-1 * Y1^2 * Y2^-1 * Y1, Y1^5, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-2 * Y1^-2, Y2^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 13, 43, 5, 35)(3, 33, 9, 39, 6, 36, 11, 41, 15, 45)(4, 34, 10, 40, 23, 53, 22, 52, 18, 48)(7, 37, 12, 42, 17, 47, 26, 56, 20, 50)(14, 44, 24, 54, 19, 49, 27, 57, 29, 59)(16, 46, 25, 55, 21, 51, 28, 58, 30, 60)(61, 91, 63, 93, 73, 103, 71, 101, 62, 92, 69, 99, 65, 95, 75, 105, 68, 98, 66, 96)(64, 94, 74, 104, 82, 112, 87, 117, 70, 100, 84, 114, 78, 108, 89, 119, 83, 113, 79, 109)(67, 97, 76, 106, 86, 116, 88, 118, 72, 102, 85, 115, 80, 110, 90, 120, 77, 107, 81, 111)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 83)(9, 84)(10, 86)(11, 87)(12, 62)(13, 82)(14, 81)(15, 89)(16, 63)(17, 68)(18, 72)(19, 90)(20, 65)(21, 66)(22, 67)(23, 80)(24, 88)(25, 69)(26, 73)(27, 76)(28, 71)(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) :: { ( 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 E19.327
Graph:: bipartite
	v = 9 e = 60 f = 15
	degree seq :: [ 10^6, 20^3 ]

E19.329 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 10, 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, Y1^-1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y3^2 * Y2^-1 * Y3^-2 * Y1, (Y1^2 * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3^3 * Y1^-2 * Y3, Y3 * Y1^2 * Y3^-1 * Y1^-2, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y2^10 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 10, 40, 20, 50, 6, 36, 19, 49, 13, 43, 28, 58, 17, 47, 5, 35)(2, 32, 7, 37, 22, 52, 29, 59, 18, 48, 14, 44, 4, 34, 12, 42, 26, 56, 8, 38)(9, 39, 25, 55, 30, 60, 23, 53, 16, 46, 24, 54, 11, 41, 21, 51, 15, 45, 27, 57)(61, 62, 66, 78, 77, 86, 70, 82, 73, 64)(63, 69, 79, 76, 65, 75, 80, 90, 88, 71)(67, 81, 74, 85, 68, 84, 89, 87, 72, 83)(91, 92, 96, 108, 107, 116, 100, 112, 103, 94)(93, 99, 109, 106, 95, 105, 110, 120, 118, 101)(97, 111, 104, 115, 98, 114, 119, 117, 102, 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) :: { ( 8^10 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E19.332
Graph:: bipartite
	v = 9 e = 60 f = 15
	degree seq :: [ 10^6, 20^3 ]

E19.330 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 10, 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, Y3^2, Y2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1^2 * Y3 * Y1^-2, Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1^10, Y2^10, (Y1^-3 * Y2^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 3, 33)(2, 32, 6, 36)(4, 34, 9, 39)(5, 35, 12, 42)(7, 37, 15, 45)(8, 38, 16, 46)(10, 40, 17, 47)(11, 41, 21, 51)(13, 43, 23, 53)(14, 44, 24, 54)(18, 48, 22, 52)(19, 49, 25, 55)(20, 50, 29, 59)(26, 56, 28, 58)(27, 57, 30, 60)(61, 62, 65, 71, 80, 88, 87, 79, 70, 64)(63, 67, 72, 82, 89, 84, 90, 83, 77, 68)(66, 73, 81, 76, 86, 75, 85, 78, 69, 74)(91, 92, 95, 101, 110, 118, 117, 109, 100, 94)(93, 97, 102, 112, 119, 114, 120, 113, 107, 98)(96, 103, 111, 106, 116, 105, 115, 108, 99, 104)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 40^4 ), ( 40^10 ) }
Outer automorphisms :: reflexible
Dual of E19.331
Graph:: simple bipartite
	v = 21 e = 60 f = 3
	degree seq :: [ 4^15, 10^6 ]

E19.331 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 10, 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, Y1^-1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y3^2 * Y2^-1 * Y3^-2 * Y1, (Y1^2 * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3^3 * Y1^-2 * Y3, Y3 * Y1^2 * Y3^-1 * Y1^-2, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y2^10 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 3, 33, 63, 93, 10, 40, 70, 100, 20, 50, 80, 110, 6, 36, 66, 96, 19, 49, 79, 109, 13, 43, 73, 103, 28, 58, 88, 118, 17, 47, 77, 107, 5, 35, 65, 95)(2, 32, 62, 92, 7, 37, 67, 97, 22, 52, 82, 112, 29, 59, 89, 119, 18, 48, 78, 108, 14, 44, 74, 104, 4, 34, 64, 94, 12, 42, 72, 102, 26, 56, 86, 116, 8, 38, 68, 98)(9, 39, 69, 99, 25, 55, 85, 115, 30, 60, 90, 120, 23, 53, 83, 113, 16, 46, 76, 106, 24, 54, 84, 114, 11, 41, 71, 101, 21, 51, 81, 111, 15, 45, 75, 105, 27, 57, 87, 117)
	L = (1, 32)(2, 36)(3, 39)(4, 31)(5, 45)(6, 48)(7, 51)(8, 54)(9, 49)(10, 52)(11, 33)(12, 53)(13, 34)(14, 55)(15, 50)(16, 35)(17, 56)(18, 47)(19, 46)(20, 60)(21, 44)(22, 43)(23, 37)(24, 59)(25, 38)(26, 40)(27, 42)(28, 41)(29, 57)(30, 58)(61, 92)(62, 96)(63, 99)(64, 91)(65, 105)(66, 108)(67, 111)(68, 114)(69, 109)(70, 112)(71, 93)(72, 113)(73, 94)(74, 115)(75, 110)(76, 95)(77, 116)(78, 107)(79, 106)(80, 120)(81, 104)(82, 103)(83, 97)(84, 119)(85, 98)(86, 100)(87, 102)(88, 101)(89, 117)(90, 118)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.330
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 21
	degree seq :: [ 40^3 ]

E19.332 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 10, 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, Y3^2, Y2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1^2 * Y3 * Y1^-2, Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1^10, Y2^10, (Y1^-3 * Y2^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 3, 33, 63, 93)(2, 32, 62, 92, 6, 36, 66, 96)(4, 34, 64, 94, 9, 39, 69, 99)(5, 35, 65, 95, 12, 42, 72, 102)(7, 37, 67, 97, 15, 45, 75, 105)(8, 38, 68, 98, 16, 46, 76, 106)(10, 40, 70, 100, 17, 47, 77, 107)(11, 41, 71, 101, 21, 51, 81, 111)(13, 43, 73, 103, 23, 53, 83, 113)(14, 44, 74, 104, 24, 54, 84, 114)(18, 48, 78, 108, 22, 52, 82, 112)(19, 49, 79, 109, 25, 55, 85, 115)(20, 50, 80, 110, 29, 59, 89, 119)(26, 56, 86, 116, 28, 58, 88, 118)(27, 57, 87, 117, 30, 60, 90, 120)
	L = (1, 32)(2, 35)(3, 37)(4, 31)(5, 41)(6, 43)(7, 42)(8, 33)(9, 44)(10, 34)(11, 50)(12, 52)(13, 51)(14, 36)(15, 55)(16, 56)(17, 38)(18, 39)(19, 40)(20, 58)(21, 46)(22, 59)(23, 47)(24, 60)(25, 48)(26, 45)(27, 49)(28, 57)(29, 54)(30, 53)(61, 92)(62, 95)(63, 97)(64, 91)(65, 101)(66, 103)(67, 102)(68, 93)(69, 104)(70, 94)(71, 110)(72, 112)(73, 111)(74, 96)(75, 115)(76, 116)(77, 98)(78, 99)(79, 100)(80, 118)(81, 106)(82, 119)(83, 107)(84, 120)(85, 108)(86, 105)(87, 109)(88, 117)(89, 114)(90, 113)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.329
Transitivity :: VT+
Graph::
	v = 15 e = 60 f = 9
	degree seq :: [ 8^15 ]

E19.333 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 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 :: [ Y1^2, R^2, (Y2, Y3), (Y3^-1 * Y2^-1)^2, Y2^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, (Y2^-1 * R)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y3^-2 * Y2^2 * Y3^-1, Y1 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 11, 41)(4, 34, 8, 38)(5, 35, 17, 47)(6, 36, 10, 40)(7, 37, 18, 48)(9, 39, 24, 54)(12, 42, 19, 49)(13, 43, 26, 56)(14, 44, 28, 58)(15, 45, 22, 52)(16, 46, 29, 59)(20, 50, 27, 57)(21, 51, 25, 55)(23, 53, 30, 60)(61, 91, 63, 93, 72, 102, 76, 106, 64, 94, 73, 103, 66, 96, 74, 104, 75, 105, 65, 95)(62, 92, 67, 97, 79, 109, 83, 113, 68, 98, 80, 110, 70, 100, 81, 111, 82, 112, 69, 99)(71, 101, 85, 115, 89, 119, 84, 114, 86, 116, 78, 108, 88, 118, 90, 120, 77, 107, 87, 117)
	L = (1, 64)(2, 68)(3, 73)(4, 75)(5, 76)(6, 61)(7, 80)(8, 82)(9, 83)(10, 62)(11, 86)(12, 66)(13, 65)(14, 63)(15, 72)(16, 74)(17, 89)(18, 87)(19, 70)(20, 69)(21, 67)(22, 79)(23, 81)(24, 90)(25, 78)(26, 77)(27, 84)(28, 71)(29, 88)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20^4 ), ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E19.338
Graph:: bipartite
	v = 18 e = 60 f = 6
	degree seq :: [ 4^15, 20^3 ]

E19.334 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 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 :: [ Y1^2, R^2, Y3^-1 * Y2^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^5, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y3^-2 * Y1 * Y2^-1 * Y1, Y2 * Y3^2 * Y2 * Y1 * Y3^2 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 11, 41)(4, 34, 8, 38)(5, 35, 14, 44)(6, 36, 10, 40)(7, 37, 17, 47)(9, 39, 20, 50)(12, 42, 24, 54)(13, 43, 19, 49)(15, 45, 28, 58)(16, 46, 22, 52)(18, 48, 27, 57)(21, 51, 23, 53)(25, 55, 30, 60)(26, 56, 29, 59)(61, 91, 63, 93, 64, 94, 72, 102, 73, 103, 86, 116, 76, 106, 75, 105, 66, 96, 65, 95)(62, 92, 67, 97, 68, 98, 78, 108, 79, 109, 90, 120, 82, 112, 81, 111, 70, 100, 69, 99)(71, 101, 83, 113, 84, 114, 80, 110, 89, 119, 77, 107, 88, 118, 87, 117, 74, 104, 85, 115)
	L = (1, 64)(2, 68)(3, 72)(4, 73)(5, 63)(6, 61)(7, 78)(8, 79)(9, 67)(10, 62)(11, 84)(12, 86)(13, 76)(14, 71)(15, 65)(16, 66)(17, 87)(18, 90)(19, 82)(20, 77)(21, 69)(22, 70)(23, 80)(24, 89)(25, 83)(26, 75)(27, 85)(28, 74)(29, 88)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20^4 ), ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E19.337
Graph:: bipartite
	v = 18 e = 60 f = 6
	degree seq :: [ 4^15, 20^3 ]

E19.335 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 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 :: [ Y1^2, R^2, Y2 * Y3 * Y2, Y1 * Y3 * Y1 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^5, (Y3^2 * Y2^-1)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 11, 41)(4, 34, 8, 38)(5, 35, 15, 45)(6, 36, 10, 40)(7, 37, 17, 47)(9, 39, 21, 51)(12, 42, 25, 55)(13, 43, 19, 49)(14, 44, 27, 57)(16, 46, 22, 52)(18, 48, 28, 58)(20, 50, 23, 53)(24, 54, 30, 60)(26, 56, 29, 59)(61, 91, 63, 93, 66, 96, 72, 102, 76, 106, 86, 116, 73, 103, 74, 104, 64, 94, 65, 95)(62, 92, 67, 97, 70, 100, 78, 108, 82, 112, 90, 120, 79, 109, 80, 110, 68, 98, 69, 99)(71, 101, 83, 113, 85, 115, 81, 111, 89, 119, 77, 107, 87, 117, 88, 118, 75, 105, 84, 114)
	L = (1, 64)(2, 68)(3, 65)(4, 73)(5, 74)(6, 61)(7, 69)(8, 79)(9, 80)(10, 62)(11, 75)(12, 63)(13, 76)(14, 86)(15, 87)(16, 66)(17, 81)(18, 67)(19, 82)(20, 90)(21, 83)(22, 70)(23, 84)(24, 88)(25, 71)(26, 72)(27, 89)(28, 77)(29, 85)(30, 78)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20^4 ), ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E19.336
Graph:: bipartite
	v = 18 e = 60 f = 6
	degree seq :: [ 4^15, 20^3 ]

E19.336 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 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^-2 * Y2^-2, (Y3^-1 * Y1^-1)^2, Y1 * Y2^-2 * Y1, (R * Y1)^2, (Y3, Y2^-1), Y3^-2 * Y1^-2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y2^4, Y3^5, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 18, 48, 4, 34, 10, 40, 7, 37, 12, 42, 17, 47, 5, 35)(3, 33, 13, 43, 19, 49, 28, 58, 14, 44, 27, 57, 16, 46, 21, 51, 6, 36, 15, 45)(9, 39, 22, 52, 25, 55, 30, 60, 23, 53, 29, 59, 20, 50, 26, 56, 11, 41, 24, 54)(61, 91, 63, 93, 68, 98, 79, 109, 64, 94, 74, 104, 67, 97, 76, 106, 77, 107, 66, 96)(62, 92, 69, 99, 78, 108, 85, 115, 70, 100, 83, 113, 72, 102, 80, 110, 65, 95, 71, 101)(73, 103, 82, 112, 88, 118, 90, 120, 87, 117, 89, 119, 81, 111, 86, 116, 75, 105, 84, 114)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 67)(9, 83)(10, 65)(11, 85)(12, 62)(13, 87)(14, 66)(15, 88)(16, 63)(17, 68)(18, 72)(19, 76)(20, 69)(21, 73)(22, 89)(23, 71)(24, 90)(25, 80)(26, 82)(27, 75)(28, 81)(29, 84)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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 E19.335
Graph:: bipartite
	v = 6 e = 60 f = 18
	degree seq :: [ 20^6 ]

E19.337 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 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, Y2^-2 * Y3, (Y1, Y3), (Y3 * Y1)^2, (R * Y2)^2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y3^-1 * Y1 * Y3^-2, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y2 * Y1^-2)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 4, 34, 10, 40, 7, 37, 12, 42, 16, 46, 5, 35)(3, 33, 13, 43, 22, 52, 30, 60, 14, 44, 21, 51, 6, 36, 20, 50, 23, 53, 15, 45)(9, 39, 24, 54, 28, 58, 29, 59, 19, 49, 27, 57, 11, 41, 26, 56, 18, 48, 25, 55)(61, 91, 63, 93, 64, 94, 74, 104, 76, 106, 83, 113, 68, 98, 82, 112, 67, 97, 66, 96)(62, 92, 69, 99, 70, 100, 79, 109, 65, 95, 78, 108, 77, 107, 88, 118, 72, 102, 71, 101)(73, 103, 86, 116, 81, 111, 84, 114, 75, 105, 87, 117, 90, 120, 85, 115, 80, 110, 89, 119)
	L = (1, 64)(2, 70)(3, 74)(4, 76)(5, 77)(6, 63)(7, 61)(8, 67)(9, 79)(10, 65)(11, 69)(12, 62)(13, 81)(14, 83)(15, 90)(16, 68)(17, 72)(18, 88)(19, 78)(20, 73)(21, 75)(22, 66)(23, 82)(24, 87)(25, 89)(26, 84)(27, 85)(28, 71)(29, 86)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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 E19.334
Graph:: bipartite
	v = 6 e = 60 f = 18
	degree seq :: [ 20^6 ]

E19.338 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 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, Y2^2 * Y3, (Y1^-1 * Y3^-1)^2, Y3^-2 * Y1^-2, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^4 * Y3^-1, Y1^2 * Y2^-1 * Y3 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 4, 34, 10, 40, 7, 37, 12, 42, 16, 46, 5, 35)(3, 33, 13, 43, 23, 53, 22, 52, 6, 36, 21, 51, 15, 45, 30, 60, 18, 48, 14, 44)(9, 39, 24, 54, 20, 50, 28, 58, 11, 41, 27, 57, 26, 56, 29, 59, 19, 49, 25, 55)(61, 91, 63, 93, 67, 97, 75, 105, 68, 98, 83, 113, 76, 106, 78, 108, 64, 94, 66, 96)(62, 92, 69, 99, 72, 102, 86, 116, 77, 107, 80, 110, 65, 95, 79, 109, 70, 100, 71, 101)(73, 103, 88, 118, 90, 120, 85, 115, 82, 112, 87, 117, 74, 104, 84, 114, 81, 111, 89, 119)
	L = (1, 64)(2, 70)(3, 66)(4, 76)(5, 77)(6, 78)(7, 61)(8, 67)(9, 71)(10, 65)(11, 79)(12, 62)(13, 81)(14, 82)(15, 63)(16, 68)(17, 72)(18, 83)(19, 80)(20, 86)(21, 74)(22, 90)(23, 75)(24, 87)(25, 88)(26, 69)(27, 85)(28, 89)(29, 84)(30, 73)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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 E19.333
Graph:: bipartite
	v = 6 e = 60 f = 18
	degree seq :: [ 20^6 ]

E19.339 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 15, 15})
Quotient :: edge^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y3, (Y2, Y1), Y1^2 * Y2^-1 * Y1^2, Y2^-3 * Y1 * Y2^-1, Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1, (Y3 * Y2^-2)^6 ]
Map:: non-degenerate
	R = (1, 31, 4, 34)(2, 32, 9, 39)(3, 33, 12, 42)(5, 35, 15, 45)(6, 36, 14, 44)(7, 37, 20, 50)(8, 38, 22, 52)(10, 40, 23, 53)(11, 41, 24, 54)(13, 43, 25, 55)(16, 46, 28, 58)(17, 47, 27, 57)(18, 48, 26, 56)(19, 49, 29, 59)(21, 51, 30, 60)(61, 62, 67, 73, 63, 68, 79, 78, 71, 81, 77, 66, 70, 76, 65)(64, 72, 84, 83, 69, 82, 90, 88, 80, 89, 87, 75, 85, 86, 74)(91, 93, 101, 100, 92, 98, 111, 106, 97, 109, 107, 95, 103, 108, 96)(94, 99, 110, 115, 102, 112, 119, 116, 114, 120, 117, 104, 113, 118, 105)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 24^4 ), ( 24^15 ) }
Outer automorphisms :: reflexible
Dual of E19.342
Graph:: simple bipartite
	v = 19 e = 60 f = 5
	degree seq :: [ 4^15, 15^4 ]

E19.340 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 15, 15})
Quotient :: edge^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2 * Y1 * Y3^-1, (Y3^-1 * Y1)^2, Y1^-1 * Y3^2 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^4 * Y2^-1, Y1 * Y2^-4, (Y1 * Y2)^3, Y3^2 * Y2 * Y3 * Y2 * Y3, Y1^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 4, 34, 9, 39, 26, 56, 18, 48, 7, 37)(2, 32, 10, 40, 22, 52, 21, 51, 6, 36, 12, 42)(3, 33, 14, 44, 25, 55, 19, 49, 5, 35, 16, 46)(8, 38, 23, 53, 20, 50, 27, 57, 11, 41, 24, 54)(13, 43, 28, 58, 17, 47, 30, 60, 15, 45, 29, 59)(61, 62, 68, 75, 63, 69, 82, 80, 73, 85, 78, 66, 71, 77, 65)(64, 74, 88, 84, 70, 86, 79, 90, 83, 81, 67, 76, 89, 87, 72)(91, 93, 103, 101, 92, 99, 115, 107, 98, 112, 108, 95, 105, 110, 96)(94, 100, 113, 119, 104, 116, 111, 117, 118, 109, 97, 102, 114, 120, 106)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 8^12 ), ( 8^15 ) }
Outer automorphisms :: reflexible
Dual of E19.341
Graph:: bipartite
	v = 9 e = 60 f = 15
	degree seq :: [ 12^5, 15^4 ]

E19.341 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 15, 15})
Quotient :: loop^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y3, (Y2, Y1), Y1^2 * Y2^-1 * Y1^2, Y2^-3 * Y1 * Y2^-1, Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1, (Y3 * Y2^-2)^6 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 4, 34, 64, 94)(2, 32, 62, 92, 9, 39, 69, 99)(3, 33, 63, 93, 12, 42, 72, 102)(5, 35, 65, 95, 15, 45, 75, 105)(6, 36, 66, 96, 14, 44, 74, 104)(7, 37, 67, 97, 20, 50, 80, 110)(8, 38, 68, 98, 22, 52, 82, 112)(10, 40, 70, 100, 23, 53, 83, 113)(11, 41, 71, 101, 24, 54, 84, 114)(13, 43, 73, 103, 25, 55, 85, 115)(16, 46, 76, 106, 28, 58, 88, 118)(17, 47, 77, 107, 27, 57, 87, 117)(18, 48, 78, 108, 26, 56, 86, 116)(19, 49, 79, 109, 29, 59, 89, 119)(21, 51, 81, 111, 30, 60, 90, 120)
	L = (1, 32)(2, 37)(3, 38)(4, 42)(5, 31)(6, 40)(7, 43)(8, 49)(9, 52)(10, 46)(11, 51)(12, 54)(13, 33)(14, 34)(15, 55)(16, 35)(17, 36)(18, 41)(19, 48)(20, 59)(21, 47)(22, 60)(23, 39)(24, 53)(25, 56)(26, 44)(27, 45)(28, 50)(29, 57)(30, 58)(61, 93)(62, 98)(63, 101)(64, 99)(65, 103)(66, 91)(67, 109)(68, 111)(69, 110)(70, 92)(71, 100)(72, 112)(73, 108)(74, 113)(75, 94)(76, 97)(77, 95)(78, 96)(79, 107)(80, 115)(81, 106)(82, 119)(83, 118)(84, 120)(85, 102)(86, 114)(87, 104)(88, 105)(89, 116)(90, 117)
	local type(s) :: { ( 12, 15, 12, 15, 12, 15, 12, 15 ) }
Outer automorphisms :: reflexible
Dual of E19.340
Transitivity :: VT+
Graph::
	v = 15 e = 60 f = 9
	degree seq :: [ 8^15 ]

E19.342 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 15, 15})
Quotient :: loop^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2 * Y1 * Y3^-1, (Y3^-1 * Y1)^2, Y1^-1 * Y3^2 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^4 * Y2^-1, Y1 * Y2^-4, (Y1 * Y2)^3, Y3^2 * Y2 * Y3 * Y2 * Y3, Y1^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 4, 34, 64, 94, 9, 39, 69, 99, 26, 56, 86, 116, 18, 48, 78, 108, 7, 37, 67, 97)(2, 32, 62, 92, 10, 40, 70, 100, 22, 52, 82, 112, 21, 51, 81, 111, 6, 36, 66, 96, 12, 42, 72, 102)(3, 33, 63, 93, 14, 44, 74, 104, 25, 55, 85, 115, 19, 49, 79, 109, 5, 35, 65, 95, 16, 46, 76, 106)(8, 38, 68, 98, 23, 53, 83, 113, 20, 50, 80, 110, 27, 57, 87, 117, 11, 41, 71, 101, 24, 54, 84, 114)(13, 43, 73, 103, 28, 58, 88, 118, 17, 47, 77, 107, 30, 60, 90, 120, 15, 45, 75, 105, 29, 59, 89, 119)
	L = (1, 32)(2, 38)(3, 39)(4, 44)(5, 31)(6, 41)(7, 46)(8, 45)(9, 52)(10, 56)(11, 47)(12, 34)(13, 55)(14, 58)(15, 33)(16, 59)(17, 35)(18, 36)(19, 60)(20, 43)(21, 37)(22, 50)(23, 51)(24, 40)(25, 48)(26, 49)(27, 42)(28, 54)(29, 57)(30, 53)(61, 93)(62, 99)(63, 103)(64, 100)(65, 105)(66, 91)(67, 102)(68, 112)(69, 115)(70, 113)(71, 92)(72, 114)(73, 101)(74, 116)(75, 110)(76, 94)(77, 98)(78, 95)(79, 97)(80, 96)(81, 117)(82, 108)(83, 119)(84, 120)(85, 107)(86, 111)(87, 118)(88, 109)(89, 104)(90, 106)
	local type(s) :: { ( 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15 ) }
Outer automorphisms :: reflexible
Dual of E19.339
Transitivity :: VT+
Graph::
	v = 5 e = 60 f = 19
	degree seq :: [ 24^5 ]

E19.343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3 * Y1^-2, (R * Y1)^2, (Y1 * Y2^-1)^2, (Y2, Y3), (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2^-5 * Y3, Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 7, 37, 5, 35)(3, 33, 11, 41, 13, 43, 17, 47, 14, 44, 10, 40)(6, 36, 16, 46, 15, 45, 8, 38, 20, 50, 18, 48)(12, 42, 24, 54, 26, 56, 22, 52, 27, 57, 23, 53)(19, 49, 29, 59, 25, 55, 28, 58, 30, 60, 21, 51)(61, 91, 63, 93, 72, 102, 85, 115, 75, 105, 64, 94, 73, 103, 86, 116, 90, 120, 80, 110, 67, 97, 74, 104, 87, 117, 79, 109, 66, 96)(62, 92, 68, 98, 81, 111, 83, 113, 71, 101, 69, 99, 78, 108, 89, 119, 84, 114, 77, 107, 65, 95, 76, 106, 88, 118, 82, 112, 70, 100)
	L = (1, 64)(2, 69)(3, 73)(4, 67)(5, 62)(6, 75)(7, 61)(8, 78)(9, 65)(10, 71)(11, 77)(12, 86)(13, 74)(14, 63)(15, 80)(16, 68)(17, 70)(18, 76)(19, 85)(20, 66)(21, 89)(22, 83)(23, 84)(24, 82)(25, 90)(26, 87)(27, 72)(28, 81)(29, 88)(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) :: { ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 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 E19.347
Graph:: bipartite
	v = 7 e = 60 f = 17
	degree seq :: [ 12^5, 30^2 ]

E19.344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y3 * Y1, Y3 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^3, Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1, (Y2^2 * Y1)^2, Y1^-2 * Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2 * Y3^-3, Y2^-2 * Y1^-1 * Y3^-1 * Y1 * Y2^-2, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 16, 46, 15, 45, 5, 35)(3, 33, 9, 39, 17, 47, 14, 44, 22, 52, 8, 38)(4, 34, 11, 41, 18, 48, 7, 37, 19, 49, 13, 43)(10, 40, 24, 54, 29, 59, 21, 51, 28, 58, 23, 53)(12, 42, 27, 57, 25, 55, 26, 56, 30, 60, 20, 50)(61, 91, 63, 93, 70, 100, 85, 115, 78, 108, 66, 96, 77, 107, 89, 119, 90, 120, 79, 109, 75, 105, 82, 112, 88, 118, 72, 102, 64, 94)(62, 92, 67, 97, 80, 110, 83, 113, 69, 99, 76, 106, 73, 103, 87, 117, 84, 114, 74, 104, 65, 95, 71, 101, 86, 116, 81, 111, 68, 98)
	L = (1, 64)(2, 68)(3, 61)(4, 72)(5, 74)(6, 78)(7, 62)(8, 81)(9, 83)(10, 63)(11, 65)(12, 88)(13, 76)(14, 84)(15, 79)(16, 69)(17, 66)(18, 85)(19, 90)(20, 67)(21, 86)(22, 75)(23, 80)(24, 87)(25, 70)(26, 71)(27, 73)(28, 82)(29, 77)(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) :: { ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 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 E19.350
Graph:: bipartite
	v = 7 e = 60 f = 17
	degree seq :: [ 12^5, 30^2 ]

E19.345 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, (R * Y3)^2, (Y1 * Y2^-1)^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1 * Y2 * Y1^-1 * Y3^-2, Y2 * Y1 * Y3^-2 * Y1^-1, Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 20, 50, 5, 35)(3, 33, 13, 43, 27, 57, 21, 51, 25, 55, 11, 41)(4, 34, 15, 45, 28, 58, 12, 42, 23, 53, 17, 47)(6, 36, 18, 48, 16, 46, 9, 39, 29, 59, 22, 52)(7, 37, 24, 54, 14, 44, 19, 49, 30, 60, 10, 40)(61, 91, 63, 93, 64, 94, 74, 104, 76, 106, 68, 98, 87, 117, 88, 118, 90, 120, 89, 119, 80, 110, 85, 115, 83, 113, 67, 97, 66, 96)(62, 92, 69, 99, 70, 100, 77, 107, 73, 103, 86, 116, 82, 112, 84, 114, 75, 105, 81, 111, 65, 95, 78, 108, 79, 109, 72, 102, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 76)(5, 79)(6, 63)(7, 61)(8, 88)(9, 77)(10, 73)(11, 69)(12, 62)(13, 82)(14, 68)(15, 65)(16, 87)(17, 86)(18, 72)(19, 71)(20, 83)(21, 78)(22, 75)(23, 66)(24, 81)(25, 67)(26, 84)(27, 90)(28, 89)(29, 85)(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, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 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 E19.349
Graph:: bipartite
	v = 7 e = 60 f = 17
	degree seq :: [ 12^5, 30^2 ]

E19.346 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2 * Y3^-1, (R * Y2)^2, (R * Y1)^2, (Y1^-1 * Y2)^2, (R * Y3)^2, (Y3 * Y1)^2, Y2 * Y1^-1 * Y3^-1 * Y1 * Y2, Y2^-2 * Y1 * Y3 * Y1^-1, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y1^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 20, 50, 5, 35)(3, 33, 13, 43, 24, 54, 21, 51, 29, 59, 11, 41)(4, 34, 16, 46, 23, 53, 12, 42, 30, 60, 17, 47)(6, 36, 18, 48, 27, 57, 9, 39, 15, 45, 22, 52)(7, 37, 25, 55, 28, 58, 19, 49, 14, 44, 10, 40)(61, 91, 63, 93, 74, 104, 90, 120, 87, 117, 68, 98, 84, 114, 67, 97, 64, 94, 75, 105, 80, 110, 89, 119, 88, 118, 83, 113, 66, 96)(62, 92, 69, 99, 76, 106, 79, 109, 73, 103, 86, 116, 82, 112, 72, 102, 70, 100, 81, 111, 65, 95, 78, 108, 77, 107, 85, 115, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 63)(5, 79)(6, 67)(7, 61)(8, 83)(9, 81)(10, 69)(11, 72)(12, 62)(13, 77)(14, 80)(15, 74)(16, 65)(17, 86)(18, 73)(19, 78)(20, 90)(21, 76)(22, 71)(23, 84)(24, 66)(25, 82)(26, 85)(27, 88)(28, 68)(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) :: { ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 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 E19.348
Graph:: bipartite
	v = 7 e = 60 f = 17
	degree seq :: [ 12^5, 30^2 ]

E19.347 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y1), Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y1^-5, (Y1 * Y3^-1 * Y2)^2, Y1 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 19, 49, 18, 48, 6, 36, 10, 40, 22, 52, 28, 58, 15, 45, 4, 34, 9, 39, 21, 51, 17, 47, 5, 35)(3, 33, 11, 41, 25, 55, 23, 53, 8, 38, 14, 44, 26, 56, 30, 60, 20, 50, 24, 54, 12, 42, 16, 46, 29, 59, 27, 57, 13, 43)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 72, 102)(65, 95, 76, 106)(66, 96, 74, 104)(67, 97, 80, 110)(69, 99, 73, 103)(70, 100, 84, 114)(71, 101, 78, 108)(75, 105, 86, 116)(77, 107, 90, 120)(79, 109, 89, 119)(81, 111, 83, 113)(82, 112, 87, 117)(85, 115, 88, 118)
	L = (1, 64)(2, 69)(3, 72)(4, 66)(5, 75)(6, 61)(7, 81)(8, 73)(9, 70)(10, 62)(11, 76)(12, 74)(13, 84)(14, 63)(15, 78)(16, 86)(17, 88)(18, 65)(19, 77)(20, 83)(21, 82)(22, 67)(23, 87)(24, 68)(25, 89)(26, 71)(27, 80)(28, 79)(29, 90)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.343
Graph:: bipartite
	v = 17 e = 60 f = 7
	degree seq :: [ 4^15, 30^2 ]

E19.348 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^2 * Y3 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y1^2, Y1^2 * Y2 * Y3^-1 * Y2 * Y1^2, (Y1^-1 * Y2 * Y1^-2)^2, (Y3 * Y2)^6, (Y3^-1 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35, 11, 41, 16, 46, 25, 55, 29, 59, 28, 58, 26, 56, 30, 60, 27, 57, 17, 47, 22, 52, 10, 40, 4, 34)(3, 33, 7, 37, 15, 45, 14, 44, 6, 36, 13, 43, 24, 54, 21, 51, 12, 42, 23, 53, 20, 50, 9, 39, 19, 49, 18, 48, 8, 38)(61, 91, 63, 93)(62, 92, 66, 96)(64, 94, 69, 99)(65, 95, 72, 102)(67, 97, 76, 106)(68, 98, 77, 107)(70, 100, 81, 111)(71, 101, 79, 109)(73, 103, 85, 115)(74, 104, 82, 112)(75, 105, 86, 116)(78, 108, 88, 118)(80, 110, 87, 117)(83, 113, 89, 119)(84, 114, 90, 120)
	L = (1, 62)(2, 65)(3, 67)(4, 61)(5, 71)(6, 73)(7, 75)(8, 63)(9, 79)(10, 64)(11, 76)(12, 83)(13, 84)(14, 66)(15, 74)(16, 85)(17, 82)(18, 68)(19, 78)(20, 69)(21, 72)(22, 70)(23, 80)(24, 81)(25, 89)(26, 90)(27, 77)(28, 86)(29, 88)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.346
Graph:: bipartite
	v = 17 e = 60 f = 7
	degree seq :: [ 4^15, 30^2 ]

E19.349 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^2 * Y3, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3 * Y2 * Y1^-1)^2, Y3^-7 * Y1, (Y3 * Y2)^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 8, 38, 18, 48, 23, 53, 30, 60, 24, 54, 25, 55, 27, 57, 28, 58, 14, 44, 15, 45, 4, 34, 5, 35)(3, 33, 9, 39, 12, 42, 20, 50, 7, 37, 19, 49, 21, 51, 13, 43, 17, 47, 26, 56, 29, 59, 16, 46, 22, 52, 10, 40, 11, 41)(61, 91, 63, 93)(62, 92, 67, 97)(64, 94, 73, 103)(65, 95, 76, 106)(66, 96, 77, 107)(68, 98, 82, 112)(69, 99, 78, 108)(70, 100, 84, 114)(71, 101, 74, 104)(72, 102, 85, 115)(75, 105, 80, 110)(79, 109, 83, 113)(81, 111, 87, 117)(86, 116, 90, 120)(88, 118, 89, 119)
	L = (1, 64)(2, 65)(3, 70)(4, 74)(5, 75)(6, 61)(7, 72)(8, 62)(9, 71)(10, 76)(11, 82)(12, 63)(13, 79)(14, 87)(15, 88)(16, 86)(17, 81)(18, 66)(19, 80)(20, 69)(21, 67)(22, 89)(23, 68)(24, 83)(25, 90)(26, 73)(27, 84)(28, 85)(29, 77)(30, 78)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.345
Graph:: bipartite
	v = 17 e = 60 f = 7
	degree seq :: [ 4^15, 30^2 ]

E19.350 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1 * Y3^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, R * Y3^-1 * Y1 * Y2 * R * Y2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, Y1^-7 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 19, 49, 25, 55, 28, 58, 15, 45, 4, 34, 6, 36, 9, 39, 20, 50, 27, 57, 30, 60, 17, 47, 5, 35)(3, 33, 10, 40, 18, 48, 22, 52, 8, 38, 21, 51, 24, 54, 11, 41, 13, 43, 26, 56, 29, 59, 16, 46, 23, 53, 14, 44, 12, 42)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 74, 104)(65, 95, 76, 106)(66, 96, 78, 108)(67, 97, 73, 103)(69, 99, 84, 114)(70, 100, 85, 115)(71, 101, 77, 107)(72, 102, 87, 117)(75, 105, 86, 116)(79, 109, 83, 113)(80, 110, 89, 119)(81, 111, 88, 118)(82, 112, 90, 120)
	L = (1, 64)(2, 66)(3, 71)(4, 65)(5, 75)(6, 61)(7, 69)(8, 76)(9, 62)(10, 73)(11, 72)(12, 84)(13, 63)(14, 81)(15, 77)(16, 82)(17, 88)(18, 86)(19, 80)(20, 67)(21, 83)(22, 89)(23, 68)(24, 74)(25, 87)(26, 70)(27, 79)(28, 90)(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) :: { ( 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.344
Graph:: bipartite
	v = 17 e = 60 f = 7
	degree seq :: [ 4^15, 30^2 ]

E19.351 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^2 * Y3^-1, (Y1^-1, Y2), (R * Y3)^2, (Y2, Y3), (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2)^2, Y2^-5 * Y3, Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 7, 37, 5, 35)(3, 33, 8, 38, 12, 42, 20, 50, 14, 44, 13, 43)(6, 36, 10, 40, 15, 45, 21, 51, 18, 48, 16, 46)(11, 41, 19, 49, 24, 54, 30, 60, 26, 56, 25, 55)(17, 47, 22, 52, 23, 53, 29, 59, 28, 58, 27, 57)(61, 91, 63, 93, 71, 101, 83, 113, 75, 105, 64, 94, 72, 102, 84, 114, 88, 118, 78, 108, 67, 97, 74, 104, 86, 116, 77, 107, 66, 96)(62, 92, 68, 98, 79, 109, 89, 119, 81, 111, 69, 99, 80, 110, 90, 120, 87, 117, 76, 106, 65, 95, 73, 103, 85, 115, 82, 112, 70, 100)
	L = (1, 64)(2, 69)(3, 72)(4, 67)(5, 62)(6, 75)(7, 61)(8, 80)(9, 65)(10, 81)(11, 84)(12, 74)(13, 68)(14, 63)(15, 78)(16, 70)(17, 83)(18, 66)(19, 90)(20, 73)(21, 76)(22, 89)(23, 88)(24, 86)(25, 79)(26, 71)(27, 82)(28, 77)(29, 87)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 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 E19.352
Graph:: bipartite
	v = 7 e = 60 f = 17
	degree seq :: [ 12^5, 30^2 ]

E19.352 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (R * Y3)^2, (Y3, Y1), (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y3 * Y2, Y3^-1 * Y1^-5, Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 17, 47, 16, 46, 6, 36, 10, 40, 20, 50, 26, 56, 14, 44, 4, 34, 9, 39, 19, 49, 15, 45, 5, 35)(3, 33, 8, 38, 18, 48, 27, 57, 25, 55, 13, 43, 22, 52, 29, 59, 30, 60, 23, 53, 11, 41, 21, 51, 28, 58, 24, 54, 12, 42)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 71, 101)(65, 95, 72, 102)(66, 96, 73, 103)(67, 97, 78, 108)(69, 99, 81, 111)(70, 100, 82, 112)(74, 104, 83, 113)(75, 105, 84, 114)(76, 106, 85, 115)(77, 107, 87, 117)(79, 109, 88, 118)(80, 110, 89, 119)(86, 116, 90, 120)
	L = (1, 64)(2, 69)(3, 71)(4, 66)(5, 74)(6, 61)(7, 79)(8, 81)(9, 70)(10, 62)(11, 73)(12, 83)(13, 63)(14, 76)(15, 86)(16, 65)(17, 75)(18, 88)(19, 80)(20, 67)(21, 82)(22, 68)(23, 85)(24, 90)(25, 72)(26, 77)(27, 84)(28, 89)(29, 78)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.351
Graph:: bipartite
	v = 17 e = 60 f = 7
	degree seq :: [ 4^15, 30^2 ]

E19.353 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y2^-1 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y2^10, (Y2^-1 * Y1)^30 ]
Map:: non-degenerate
	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, 62)(2, 64)(3, 66)(4, 61)(5, 67)(6, 69)(7, 70)(8, 72)(9, 63)(10, 65)(11, 73)(12, 75)(13, 76)(14, 78)(15, 68)(16, 71)(17, 79)(18, 81)(19, 82)(20, 84)(21, 74)(22, 77)(23, 85)(24, 87)(25, 88)(26, 89)(27, 80)(28, 83)(29, 90)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 60, 6, 60, 6, 60 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.354
Graph:: bipartite
	v = 13 e = 60 f = 11
	degree seq :: [ 6^10, 20^3 ]

E19.354 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y2^3, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y3^-1, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^3, Y1^4 * Y3 * Y1^6, (Y1^-1 * Y2)^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 12, 42, 18, 48, 24, 54, 27, 57, 21, 51, 15, 45, 9, 39, 3, 33, 7, 37, 13, 43, 19, 49, 25, 55, 30, 60, 28, 58, 22, 52, 16, 46, 10, 40, 4, 34, 8, 38, 14, 44, 20, 50, 26, 56, 29, 59, 23, 53, 17, 47, 11, 41, 5, 35)(61, 91, 63, 93, 64, 94)(62, 92, 67, 97, 68, 98)(65, 95, 69, 99, 70, 100)(66, 96, 73, 103, 74, 104)(71, 101, 75, 105, 76, 106)(72, 102, 79, 109, 80, 110)(77, 107, 81, 111, 82, 112)(78, 108, 85, 115, 86, 116)(83, 113, 87, 117, 88, 118)(84, 114, 90, 120, 89, 119)
	L = (1, 64)(2, 68)(3, 61)(4, 63)(5, 70)(6, 74)(7, 62)(8, 67)(9, 65)(10, 69)(11, 76)(12, 80)(13, 66)(14, 73)(15, 71)(16, 75)(17, 82)(18, 86)(19, 72)(20, 79)(21, 77)(22, 81)(23, 88)(24, 89)(25, 78)(26, 85)(27, 83)(28, 87)(29, 90)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 20, 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.353
Graph:: bipartite
	v = 11 e = 60 f = 13
	degree seq :: [ 6^10, 60 ]

E19.355 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-3 * Y1, Y1 * Y3^-1 * Y1 * Y3, (Y3, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1, Y3^-3 * Y2 * Y3^-2 * Y2, Y3 * Y2 * Y3^4 * Y1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 8, 38)(5, 35, 9, 39)(6, 36, 10, 40)(11, 41, 17, 47)(12, 42, 18, 48)(13, 43, 19, 49)(14, 44, 20, 50)(15, 45, 21, 51)(16, 46, 22, 52)(23, 53, 28, 58)(24, 54, 29, 59)(25, 55, 27, 57)(26, 56, 30, 60)(61, 91, 63, 93, 69, 99, 62, 92, 67, 97, 65, 95)(64, 94, 71, 101, 80, 110, 68, 98, 77, 107, 74, 104)(66, 96, 72, 102, 81, 111, 70, 100, 78, 108, 75, 105)(73, 103, 83, 113, 90, 120, 79, 109, 88, 118, 86, 116)(76, 106, 84, 114, 85, 115, 82, 112, 89, 119, 87, 117)
	L = (1, 64)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 77)(8, 79)(9, 80)(10, 62)(11, 83)(12, 63)(13, 85)(14, 86)(15, 65)(16, 66)(17, 88)(18, 67)(19, 87)(20, 90)(21, 69)(22, 70)(23, 82)(24, 72)(25, 81)(26, 84)(27, 75)(28, 76)(29, 78)(30, 89)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 60, 20, 60 ), ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.358
Graph:: bipartite
	v = 20 e = 60 f = 4
	degree seq :: [ 4^15, 12^5 ]

E19.356 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^2 * Y3^-1, (Y1 * Y3)^2, (Y2^-1, Y1^-1), (Y2, Y3), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y1 * Y3 * Y2^-3, Y2 * Y1 * Y2^2 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 7, 37, 5, 35)(3, 33, 8, 38, 12, 42, 20, 50, 14, 44, 13, 43)(6, 36, 10, 40, 15, 45, 21, 51, 18, 48, 16, 46)(11, 41, 19, 49, 24, 54, 29, 59, 26, 56, 25, 55)(17, 47, 22, 52, 27, 57, 23, 53, 30, 60, 28, 58)(61, 91, 63, 93, 71, 101, 83, 113, 81, 111, 69, 99, 80, 110, 89, 119, 77, 107, 66, 96)(62, 92, 68, 98, 79, 109, 90, 120, 78, 108, 67, 97, 74, 104, 86, 116, 82, 112, 70, 100)(64, 94, 72, 102, 84, 114, 88, 118, 76, 106, 65, 95, 73, 103, 85, 115, 87, 117, 75, 105)
	L = (1, 64)(2, 69)(3, 72)(4, 67)(5, 62)(6, 75)(7, 61)(8, 80)(9, 65)(10, 81)(11, 84)(12, 74)(13, 68)(14, 63)(15, 78)(16, 70)(17, 87)(18, 66)(19, 89)(20, 73)(21, 76)(22, 83)(23, 88)(24, 86)(25, 79)(26, 71)(27, 90)(28, 82)(29, 85)(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) :: { ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.357
Graph:: bipartite
	v = 8 e = 60 f = 16
	degree seq :: [ 12^5, 20^3 ]

E19.357 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, Y1 * Y2 * Y1^-1 * Y2, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), Y3^-2 * Y2 * Y3^-1 * Y2, Y1^-2 * Y2 * Y3 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 17, 47, 23, 53, 11, 41, 21, 51, 30, 60, 28, 58, 16, 46, 6, 36, 10, 40, 20, 50, 24, 54, 12, 42, 3, 33, 8, 38, 18, 48, 26, 56, 14, 44, 4, 34, 9, 39, 19, 49, 29, 59, 25, 55, 13, 43, 22, 52, 27, 57, 15, 45, 5, 35)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 71, 101)(65, 95, 72, 102)(66, 96, 73, 103)(67, 97, 78, 108)(69, 99, 81, 111)(70, 100, 82, 112)(74, 104, 83, 113)(75, 105, 84, 114)(76, 106, 85, 115)(77, 107, 86, 116)(79, 109, 90, 120)(80, 110, 87, 117)(88, 118, 89, 119)
	L = (1, 64)(2, 69)(3, 71)(4, 66)(5, 74)(6, 61)(7, 79)(8, 81)(9, 70)(10, 62)(11, 73)(12, 83)(13, 63)(14, 76)(15, 86)(16, 65)(17, 89)(18, 90)(19, 80)(20, 67)(21, 82)(22, 68)(23, 85)(24, 77)(25, 72)(26, 88)(27, 78)(28, 75)(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) :: { ( 12, 20, 12, 20 ), ( 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.356
Graph:: bipartite
	v = 16 e = 60 f = 8
	degree seq :: [ 4^15, 60 ]

E19.358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3), (Y3, Y2^-1), (Y1^-1, Y3), (R * Y2)^2, Y3^2 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y3 * Y1^-2 * Y2^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y1^-3 * Y2^-3, Y2^5 * Y1 * Y3, Y1^10, Y3^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 23, 53, 30, 60, 16, 46, 28, 58, 29, 59, 18, 48, 5, 35)(3, 33, 9, 39, 24, 54, 21, 51, 17, 47, 4, 34, 10, 40, 25, 55, 22, 52, 15, 45)(6, 36, 11, 41, 14, 44, 27, 57, 20, 50, 7, 37, 12, 42, 13, 43, 26, 56, 19, 49)(61, 91, 63, 93, 73, 103, 89, 119, 85, 115, 80, 110, 90, 120, 77, 107, 71, 101, 62, 92, 69, 99, 86, 116, 78, 108, 82, 112, 67, 97, 76, 106, 64, 94, 74, 104, 68, 98, 84, 114, 79, 109, 65, 95, 75, 105, 72, 102, 88, 118, 70, 100, 87, 117, 83, 113, 81, 111, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 73)(5, 77)(6, 76)(7, 61)(8, 85)(9, 87)(10, 86)(11, 88)(12, 62)(13, 68)(14, 89)(15, 71)(16, 63)(17, 72)(18, 81)(19, 90)(20, 65)(21, 67)(22, 66)(23, 82)(24, 80)(25, 79)(26, 83)(27, 78)(28, 69)(29, 84)(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, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 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 E19.355
Graph:: bipartite
	v = 4 e = 60 f = 20
	degree seq :: [ 20^3, 60 ]

E19.359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), Y2^-1 * Y1 * Y2 * Y1, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y2)^2, Y3 * Y2 * Y3^2 * Y2, Y2^5 * Y1, Y1 * Y3^-1 * Y2^3 * Y3^-2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 8, 38)(5, 35, 9, 39)(6, 36, 10, 40)(11, 41, 19, 49)(12, 42, 20, 50)(13, 43, 21, 51)(14, 44, 22, 52)(15, 45, 23, 53)(16, 46, 24, 54)(17, 47, 25, 55)(18, 48, 26, 56)(27, 57, 29, 59)(28, 58, 30, 60)(61, 91, 63, 93, 71, 101, 84, 114, 69, 99, 62, 92, 67, 97, 79, 109, 76, 106, 65, 95)(64, 94, 72, 102, 78, 108, 88, 118, 83, 113, 68, 98, 80, 110, 86, 116, 90, 120, 75, 105)(66, 96, 73, 103, 87, 117, 82, 112, 85, 115, 70, 100, 81, 111, 89, 119, 74, 104, 77, 107)
	L = (1, 64)(2, 68)(3, 72)(4, 74)(5, 75)(6, 61)(7, 80)(8, 82)(9, 83)(10, 62)(11, 78)(12, 77)(13, 63)(14, 76)(15, 89)(16, 90)(17, 65)(18, 66)(19, 86)(20, 85)(21, 67)(22, 84)(23, 87)(24, 88)(25, 69)(26, 70)(27, 71)(28, 73)(29, 79)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 60, 12, 60 ), ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.360
Graph:: bipartite
	v = 18 e = 60 f = 6
	degree seq :: [ 4^15, 20^3 ]

E19.360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-2, Y3^3, (Y2^-1, Y3), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2)^2, Y2^4 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 7, 37, 5, 35)(3, 33, 8, 38, 12, 42, 20, 50, 14, 44, 13, 43)(6, 36, 10, 40, 15, 45, 21, 51, 18, 48, 16, 46)(11, 41, 19, 49, 23, 53, 29, 59, 25, 55, 24, 54)(17, 47, 22, 52, 26, 56, 30, 60, 28, 58, 27, 57)(61, 91, 63, 93, 71, 101, 82, 112, 70, 100, 62, 92, 68, 98, 79, 109, 86, 116, 75, 105, 64, 94, 72, 102, 83, 113, 90, 120, 81, 111, 69, 99, 80, 110, 89, 119, 88, 118, 78, 108, 67, 97, 74, 104, 85, 115, 87, 117, 76, 106, 65, 95, 73, 103, 84, 114, 77, 107, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 67)(5, 62)(6, 75)(7, 61)(8, 80)(9, 65)(10, 81)(11, 83)(12, 74)(13, 68)(14, 63)(15, 78)(16, 70)(17, 86)(18, 66)(19, 89)(20, 73)(21, 76)(22, 90)(23, 85)(24, 79)(25, 71)(26, 88)(27, 82)(28, 77)(29, 84)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 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 E19.359
Graph:: bipartite
	v = 6 e = 60 f = 18
	degree seq :: [ 12^5, 60 ]

E19.361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y3^-3 * Y2^2, Y2^5, Y3^-1 * Y2^-2 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 8, 38)(5, 35, 9, 39)(6, 36, 10, 40)(11, 41, 19, 49)(12, 42, 20, 50)(13, 43, 21, 51)(14, 44, 22, 52)(15, 45, 23, 53)(16, 46, 24, 54)(17, 47, 25, 55)(18, 48, 26, 56)(27, 57, 29, 59)(28, 58, 30, 60)(61, 91, 63, 93, 71, 101, 76, 106, 65, 95)(62, 92, 67, 97, 79, 109, 84, 114, 69, 99)(64, 94, 72, 102, 87, 117, 78, 108, 75, 105)(66, 96, 73, 103, 74, 104, 88, 118, 77, 107)(68, 98, 80, 110, 89, 119, 86, 116, 83, 113)(70, 100, 81, 111, 82, 112, 90, 120, 85, 115)
	L = (1, 64)(2, 68)(3, 72)(4, 74)(5, 75)(6, 61)(7, 80)(8, 82)(9, 83)(10, 62)(11, 87)(12, 88)(13, 63)(14, 71)(15, 73)(16, 78)(17, 65)(18, 66)(19, 89)(20, 90)(21, 67)(22, 79)(23, 81)(24, 86)(25, 69)(26, 70)(27, 77)(28, 76)(29, 85)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.372
Graph:: simple bipartite
	v = 21 e = 60 f = 3
	degree seq :: [ 4^15, 10^6 ]

E19.362 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^3, (R * Y3)^2, (Y2, Y3^-1), (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2)^2, Y3^-1 * Y1 * Y3 * Y1, Y2^5, Y3^-1 * Y2^-2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 8, 38)(5, 35, 9, 39)(6, 36, 10, 40)(11, 41, 17, 47)(12, 42, 18, 48)(13, 43, 19, 49)(14, 44, 20, 50)(15, 45, 21, 51)(16, 46, 22, 52)(23, 53, 27, 57)(24, 54, 28, 58)(25, 55, 29, 59)(26, 56, 30, 60)(61, 91, 63, 93, 71, 101, 75, 105, 65, 95)(62, 92, 67, 97, 77, 107, 81, 111, 69, 99)(64, 94, 72, 102, 83, 113, 85, 115, 74, 104)(66, 96, 73, 103, 84, 114, 86, 116, 76, 106)(68, 98, 78, 108, 87, 117, 89, 119, 80, 110)(70, 100, 79, 109, 88, 118, 90, 120, 82, 112)
	L = (1, 64)(2, 68)(3, 72)(4, 73)(5, 74)(6, 61)(7, 78)(8, 79)(9, 80)(10, 62)(11, 83)(12, 84)(13, 63)(14, 66)(15, 85)(16, 65)(17, 87)(18, 88)(19, 67)(20, 70)(21, 89)(22, 69)(23, 86)(24, 71)(25, 76)(26, 75)(27, 90)(28, 77)(29, 82)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.370
Graph:: simple bipartite
	v = 21 e = 60 f = 3
	degree seq :: [ 4^15, 10^6 ]

E19.363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-3, (R * Y3)^2, (Y2, Y3^-1), (R * Y1)^2, (Y2^-1 * R)^2, Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y2^5, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 8, 38)(5, 35, 9, 39)(6, 36, 10, 40)(11, 41, 17, 47)(12, 42, 18, 48)(13, 43, 19, 49)(14, 44, 20, 50)(15, 45, 21, 51)(16, 46, 22, 52)(23, 53, 27, 57)(24, 54, 28, 58)(25, 55, 29, 59)(26, 56, 30, 60)(61, 91, 63, 93, 71, 101, 76, 106, 65, 95)(62, 92, 67, 97, 77, 107, 82, 112, 69, 99)(64, 94, 72, 102, 83, 113, 86, 116, 75, 105)(66, 96, 73, 103, 84, 114, 85, 115, 74, 104)(68, 98, 78, 108, 87, 117, 90, 120, 81, 111)(70, 100, 79, 109, 88, 118, 89, 119, 80, 110)
	L = (1, 64)(2, 68)(3, 72)(4, 74)(5, 75)(6, 61)(7, 78)(8, 80)(9, 81)(10, 62)(11, 83)(12, 66)(13, 63)(14, 65)(15, 85)(16, 86)(17, 87)(18, 70)(19, 67)(20, 69)(21, 89)(22, 90)(23, 73)(24, 71)(25, 76)(26, 84)(27, 79)(28, 77)(29, 82)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.371
Graph:: simple bipartite
	v = 21 e = 60 f = 3
	degree seq :: [ 4^15, 10^6 ]

E19.364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1)^2, (R * Y3)^2, (Y3, Y2), Y3^-2 * Y1^-2, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, Y3^-3 * Y1 * Y3^-1, Y2 * Y1 * Y2^2 * Y1, Y3^-1 * Y2^2 * Y3^-1 * Y2, Y1^-1 * Y2^3 * Y1^-2, 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, 21, 51, 27, 57, 15, 45)(4, 34, 10, 40, 7, 37, 12, 42, 18, 48)(6, 36, 11, 41, 23, 53, 13, 43, 20, 50)(14, 44, 24, 54, 16, 46, 25, 55, 29, 59)(19, 49, 26, 56, 22, 52, 28, 58, 30, 60)(61, 91, 63, 93, 73, 103, 77, 107, 87, 117, 71, 101, 62, 92, 69, 99, 80, 110, 65, 95, 75, 105, 83, 113, 68, 98, 81, 111, 66, 96)(64, 94, 74, 104, 88, 118, 72, 102, 85, 115, 86, 116, 70, 100, 84, 114, 90, 120, 78, 108, 89, 119, 82, 112, 67, 97, 76, 106, 79, 109)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 67)(9, 84)(10, 65)(11, 86)(12, 62)(13, 88)(14, 87)(15, 89)(16, 63)(17, 72)(18, 68)(19, 73)(20, 90)(21, 76)(22, 66)(23, 82)(24, 75)(25, 69)(26, 80)(27, 85)(28, 71)(29, 81)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.369
Graph:: bipartite
	v = 8 e = 60 f = 16
	degree seq :: [ 10^6, 30^2 ]

E19.365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y2^-3 * Y1^-1, (Y2, Y1^-1), (Y1^-1 * Y3^-1)^2, (Y3, Y1), (R * Y1)^2, (Y3^-1, Y2), (R * Y2)^2, (R * Y3)^2, Y1^5, Y3^-1 * Y1^2 * Y3^-1 * Y1, Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y3, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 5, 35)(3, 33, 9, 39, 21, 51, 29, 59, 15, 45)(4, 34, 10, 40, 7, 37, 12, 42, 18, 48)(6, 36, 11, 41, 22, 52, 28, 58, 13, 43)(14, 44, 23, 53, 16, 46, 24, 54, 30, 60)(19, 49, 25, 55, 20, 50, 26, 56, 27, 57)(61, 91, 63, 93, 73, 103, 65, 95, 75, 105, 88, 118, 77, 107, 89, 119, 82, 112, 68, 98, 81, 111, 71, 101, 62, 92, 69, 99, 66, 96)(64, 94, 74, 104, 87, 117, 78, 108, 90, 120, 86, 116, 72, 102, 84, 114, 80, 110, 67, 97, 76, 106, 85, 115, 70, 100, 83, 113, 79, 109)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 67)(9, 83)(10, 65)(11, 85)(12, 62)(13, 87)(14, 89)(15, 90)(16, 63)(17, 72)(18, 68)(19, 88)(20, 66)(21, 76)(22, 80)(23, 75)(24, 69)(25, 73)(26, 71)(27, 82)(28, 86)(29, 84)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.367
Graph:: bipartite
	v = 8 e = 60 f = 16
	degree seq :: [ 10^6, 30^2 ]

E19.366 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, Y2^3 * Y1^-1, (Y1^-1 * Y3^-1)^2, (R * Y2)^2, (Y2, Y1^-1), (Y1, Y3^-1), (R * Y1)^2, (Y3, Y2), (R * Y3)^2, Y3^-1 * Y1^2 * Y3^-1 * Y1, Y1^5, 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 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 16, 46, 5, 35)(3, 33, 9, 39, 21, 51, 27, 57, 14, 44)(4, 34, 10, 40, 7, 37, 12, 42, 17, 47)(6, 36, 11, 41, 22, 52, 29, 59, 19, 49)(13, 43, 23, 53, 15, 45, 24, 54, 28, 58)(18, 48, 25, 55, 20, 50, 26, 56, 30, 60)(61, 91, 63, 93, 71, 101, 62, 92, 69, 99, 82, 112, 68, 98, 81, 111, 89, 119, 76, 106, 87, 117, 79, 109, 65, 95, 74, 104, 66, 96)(64, 94, 73, 103, 85, 115, 70, 100, 83, 113, 80, 110, 67, 97, 75, 105, 86, 116, 72, 102, 84, 114, 90, 120, 77, 107, 88, 118, 78, 108)
	L = (1, 64)(2, 70)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 67)(9, 83)(10, 65)(11, 85)(12, 62)(13, 87)(14, 88)(15, 63)(16, 72)(17, 68)(18, 89)(19, 90)(20, 66)(21, 75)(22, 80)(23, 74)(24, 69)(25, 79)(26, 71)(27, 84)(28, 81)(29, 86)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.368
Graph:: bipartite
	v = 8 e = 60 f = 16
	degree seq :: [ 10^6, 30^2 ]

E19.367 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-1 * Y2 * Y3 * Y2, (Y3^-1, Y1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^2 * Y2 * Y1^3, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-2, Y3 * Y1^-3 * Y3^2, Y1^3 * Y2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 19, 49, 29, 59, 28, 58, 11, 41, 23, 53, 17, 47, 6, 36, 10, 40, 22, 52, 14, 44, 25, 55, 12, 42, 3, 33, 8, 38, 20, 50, 18, 48, 26, 56, 15, 45, 4, 34, 9, 39, 21, 51, 13, 43, 24, 54, 30, 60, 27, 57, 16, 46, 5, 35)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 71, 101)(65, 95, 72, 102)(66, 96, 73, 103)(67, 97, 80, 110)(69, 99, 83, 113)(70, 100, 84, 114)(74, 104, 87, 117)(75, 105, 88, 118)(76, 106, 85, 115)(77, 107, 81, 111)(78, 108, 79, 109)(82, 112, 90, 120)(86, 116, 89, 119)
	L = (1, 64)(2, 69)(3, 71)(4, 74)(5, 75)(6, 61)(7, 81)(8, 83)(9, 85)(10, 62)(11, 87)(12, 88)(13, 63)(14, 79)(15, 82)(16, 86)(17, 65)(18, 66)(19, 73)(20, 77)(21, 72)(22, 67)(23, 76)(24, 68)(25, 89)(26, 70)(27, 78)(28, 90)(29, 84)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 30, 10, 30 ), ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.365
Graph:: bipartite
	v = 16 e = 60 f = 8
	degree seq :: [ 4^15, 60 ]

E19.368 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3 * Y1^-3, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3 * Y2 * Y3^-1, Y2 * Y1 * Y2 * Y1^-1, Y2 * Y3^5, (Y1^-1 * Y3^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 4, 34, 9, 39, 18, 48, 14, 44, 21, 51, 28, 58, 25, 55, 30, 60, 24, 54, 13, 43, 20, 50, 12, 42, 3, 33, 8, 38, 17, 47, 11, 41, 19, 49, 27, 57, 23, 53, 29, 59, 26, 56, 16, 46, 22, 52, 15, 45, 6, 36, 10, 40, 5, 35)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 71, 101)(65, 95, 72, 102)(66, 96, 73, 103)(67, 97, 77, 107)(69, 99, 79, 109)(70, 100, 80, 110)(74, 104, 83, 113)(75, 105, 84, 114)(76, 106, 85, 115)(78, 108, 87, 117)(81, 111, 89, 119)(82, 112, 90, 120)(86, 116, 88, 118)
	L = (1, 64)(2, 69)(3, 71)(4, 74)(5, 67)(6, 61)(7, 78)(8, 79)(9, 81)(10, 62)(11, 83)(12, 77)(13, 63)(14, 85)(15, 65)(16, 66)(17, 87)(18, 88)(19, 89)(20, 68)(21, 90)(22, 70)(23, 76)(24, 72)(25, 73)(26, 75)(27, 86)(28, 84)(29, 82)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 30, 10, 30 ), ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 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 E19.366
Graph:: bipartite
	v = 16 e = 60 f = 8
	degree seq :: [ 4^15, 60 ]

E19.369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-1 * Y1^-3, (Y1, Y3), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, Y2 * Y1 * Y2 * Y1^-1, Y3^5 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 6, 36, 10, 40, 18, 48, 16, 46, 22, 52, 28, 58, 23, 53, 29, 59, 24, 54, 11, 41, 19, 49, 12, 42, 3, 33, 8, 38, 17, 47, 13, 43, 20, 50, 27, 57, 25, 55, 30, 60, 26, 56, 14, 44, 21, 51, 15, 45, 4, 34, 9, 39, 5, 35)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 71, 101)(65, 95, 72, 102)(66, 96, 73, 103)(67, 97, 77, 107)(69, 99, 79, 109)(70, 100, 80, 110)(74, 104, 83, 113)(75, 105, 84, 114)(76, 106, 85, 115)(78, 108, 87, 117)(81, 111, 89, 119)(82, 112, 90, 120)(86, 116, 88, 118)
	L = (1, 64)(2, 69)(3, 71)(4, 74)(5, 75)(6, 61)(7, 65)(8, 79)(9, 81)(10, 62)(11, 83)(12, 84)(13, 63)(14, 85)(15, 86)(16, 66)(17, 72)(18, 67)(19, 89)(20, 68)(21, 90)(22, 70)(23, 76)(24, 88)(25, 73)(26, 87)(27, 77)(28, 78)(29, 82)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 30, 10, 30 ), ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 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 E19.364
Graph:: bipartite
	v = 16 e = 60 f = 8
	degree seq :: [ 4^15, 60 ]

E19.370 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3, Y1^-1 * Y2^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y1^4 * Y2 * Y3 * Y2 * Y1^2, (Y3^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 25, 55, 23, 53, 15, 45, 7, 37, 4, 34, 10, 40, 19, 49, 27, 57, 21, 51, 13, 43, 5, 35)(3, 33, 9, 39, 18, 48, 26, 56, 30, 60, 24, 54, 16, 46, 12, 42, 11, 41, 20, 50, 28, 58, 29, 59, 22, 52, 14, 44, 6, 36)(61, 91, 63, 93, 62, 92, 69, 99, 68, 98, 78, 108, 77, 107, 86, 116, 85, 115, 90, 120, 83, 113, 84, 114, 75, 105, 76, 106, 67, 97, 72, 102, 64, 94, 71, 101, 70, 100, 80, 110, 79, 109, 88, 118, 87, 117, 89, 119, 81, 111, 82, 112, 73, 103, 74, 104, 65, 95, 66, 96)
	L = (1, 64)(2, 70)(3, 71)(4, 62)(5, 67)(6, 72)(7, 61)(8, 79)(9, 80)(10, 68)(11, 69)(12, 63)(13, 75)(14, 76)(15, 65)(16, 66)(17, 87)(18, 88)(19, 77)(20, 78)(21, 83)(22, 84)(23, 73)(24, 74)(25, 81)(26, 89)(27, 85)(28, 86)(29, 90)(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) :: { ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 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 E19.362
Graph:: bipartite
	v = 3 e = 60 f = 21
	degree seq :: [ 30^2, 60 ]

E19.371 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, (Y3^-1, Y1^-1), Y3^2 * Y2^-2, (R * Y1)^2, (Y2^-1, Y1), (R * Y2)^2, (R * Y3)^2, Y2^4 * Y1, Y1^2 * Y3 * Y1^2, Y3 * Y1 * Y2 * Y3 * Y2, Y3^-1 * Y1^2 * Y3^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 7, 37, 12, 42, 25, 55, 13, 43, 21, 51, 27, 57, 17, 47, 4, 34, 10, 40, 18, 48, 5, 35)(3, 33, 9, 39, 23, 53, 29, 59, 16, 46, 26, 56, 30, 60, 19, 49, 6, 36, 11, 41, 24, 54, 14, 44, 22, 52, 28, 58, 15, 45)(61, 91, 63, 93, 73, 103, 79, 109, 65, 95, 75, 105, 85, 115, 90, 120, 78, 108, 88, 118, 72, 102, 86, 116, 70, 100, 82, 112, 67, 97, 76, 106, 64, 94, 74, 104, 80, 110, 89, 119, 77, 107, 84, 114, 68, 98, 83, 113, 87, 117, 71, 101, 62, 92, 69, 99, 81, 111, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 73)(5, 77)(6, 76)(7, 61)(8, 78)(9, 82)(10, 81)(11, 86)(12, 62)(13, 80)(14, 79)(15, 84)(16, 63)(17, 85)(18, 87)(19, 89)(20, 65)(21, 67)(22, 66)(23, 88)(24, 90)(25, 68)(26, 69)(27, 72)(28, 71)(29, 75)(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, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 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 E19.363
Graph:: bipartite
	v = 3 e = 60 f = 21
	degree seq :: [ 30^2, 60 ]

E19.372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, Y2^-1 * Y3^2 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2)^2, (Y1^-1, Y2^-1), Y2^2 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-5 * Y2^-2, Y2^22 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 11, 41, 19, 49, 22, 52, 28, 58, 29, 59, 26, 56, 23, 53, 17, 47, 16, 46, 7, 37, 5, 35)(3, 33, 8, 38, 12, 42, 20, 50, 21, 51, 27, 57, 30, 60, 25, 55, 24, 54, 18, 48, 15, 45, 6, 36, 10, 40, 14, 44, 13, 43)(61, 91, 63, 93, 71, 101, 81, 111, 89, 119, 84, 114, 76, 106, 70, 100, 62, 92, 68, 98, 79, 109, 87, 117, 86, 116, 78, 108, 67, 97, 74, 104, 64, 94, 72, 102, 82, 112, 90, 120, 83, 113, 75, 105, 65, 95, 73, 103, 69, 99, 80, 110, 88, 118, 85, 115, 77, 107, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 71)(5, 62)(6, 74)(7, 61)(8, 80)(9, 79)(10, 73)(11, 82)(12, 81)(13, 68)(14, 63)(15, 70)(16, 65)(17, 67)(18, 66)(19, 88)(20, 87)(21, 90)(22, 89)(23, 76)(24, 75)(25, 78)(26, 77)(27, 85)(28, 86)(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, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 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 E19.361
Graph:: bipartite
	v = 3 e = 60 f = 21
	degree seq :: [ 30^2, 60 ]

E19.373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y3 * Y1, Y2 * Y3^-7, (Y3 * Y2^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 8, 38)(5, 35, 9, 39)(6, 36, 10, 40)(11, 41, 15, 45)(12, 42, 16, 46)(13, 43, 17, 47)(14, 44, 18, 48)(19, 49, 23, 53)(20, 50, 24, 54)(21, 51, 25, 55)(22, 52, 26, 56)(27, 57, 29, 59)(28, 58, 30, 60)(61, 91, 63, 93, 66, 96, 71, 101, 74, 104, 79, 109, 82, 112, 87, 117, 88, 118, 80, 110, 81, 111, 72, 102, 73, 103, 64, 94, 65, 95)(62, 92, 67, 97, 70, 100, 75, 105, 78, 108, 83, 113, 86, 116, 89, 119, 90, 120, 84, 114, 85, 115, 76, 106, 77, 107, 68, 98, 69, 99)
	L = (1, 64)(2, 68)(3, 65)(4, 72)(5, 73)(6, 61)(7, 69)(8, 76)(9, 77)(10, 62)(11, 63)(12, 80)(13, 81)(14, 66)(15, 67)(16, 84)(17, 85)(18, 70)(19, 71)(20, 87)(21, 88)(22, 74)(23, 75)(24, 89)(25, 90)(26, 78)(27, 79)(28, 82)(29, 83)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.376
Graph:: bipartite
	v = 17 e = 60 f = 7
	degree seq :: [ 4^15, 30^2 ]

E19.374 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (Y3, Y2), (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2^4, Y2^-1 * Y3^4, Y3^-1 * Y2^-2 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 8, 38)(5, 35, 9, 39)(6, 36, 10, 40)(11, 41, 19, 49)(12, 42, 20, 50)(13, 43, 21, 51)(14, 44, 22, 52)(15, 45, 23, 53)(16, 46, 24, 54)(17, 47, 25, 55)(18, 48, 26, 56)(27, 57, 29, 59)(28, 58, 30, 60)(61, 91, 63, 93, 71, 101, 75, 105, 64, 94, 72, 102, 87, 117, 78, 108, 74, 104, 88, 118, 77, 107, 66, 96, 73, 103, 76, 106, 65, 95)(62, 92, 67, 97, 79, 109, 83, 113, 68, 98, 80, 110, 89, 119, 86, 116, 82, 112, 90, 120, 85, 115, 70, 100, 81, 111, 84, 114, 69, 99)
	L = (1, 64)(2, 68)(3, 72)(4, 74)(5, 75)(6, 61)(7, 80)(8, 82)(9, 83)(10, 62)(11, 87)(12, 88)(13, 63)(14, 73)(15, 78)(16, 71)(17, 65)(18, 66)(19, 89)(20, 90)(21, 67)(22, 81)(23, 86)(24, 79)(25, 69)(26, 70)(27, 77)(28, 76)(29, 85)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.378
Graph:: bipartite
	v = 17 e = 60 f = 7
	degree seq :: [ 4^15, 30^2 ]

E19.375 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1, Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^5, Y2^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 8, 38)(5, 35, 9, 39)(6, 36, 10, 40)(11, 41, 15, 45)(12, 42, 16, 46)(13, 43, 17, 47)(14, 44, 18, 48)(19, 49, 23, 53)(20, 50, 24, 54)(21, 51, 25, 55)(22, 52, 26, 56)(27, 57, 29, 59)(28, 58, 30, 60)(61, 91, 63, 93, 71, 101, 79, 109, 87, 117, 81, 111, 73, 103, 64, 94, 66, 96, 72, 102, 80, 110, 88, 118, 82, 112, 74, 104, 65, 95)(62, 92, 67, 97, 75, 105, 83, 113, 89, 119, 85, 115, 77, 107, 68, 98, 70, 100, 76, 106, 84, 114, 90, 120, 86, 116, 78, 108, 69, 99)
	L = (1, 64)(2, 68)(3, 66)(4, 65)(5, 73)(6, 61)(7, 70)(8, 69)(9, 77)(10, 62)(11, 72)(12, 63)(13, 74)(14, 81)(15, 76)(16, 67)(17, 78)(18, 85)(19, 80)(20, 71)(21, 82)(22, 87)(23, 84)(24, 75)(25, 86)(26, 89)(27, 88)(28, 79)(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) :: { ( 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.377
Graph:: bipartite
	v = 17 e = 60 f = 7
	degree seq :: [ 4^15, 30^2 ]

E19.376 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y1 * Y3)^2, (Y2^-1, Y3^-1), Y3^-2 * Y1^-2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2^2 * Y3^-1, Y3^-3 * Y1 * Y3^-1, Y3 * Y2^3 * Y1^-2, Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 5, 35)(3, 33, 9, 39, 23, 53, 29, 59, 15, 45)(4, 34, 10, 40, 7, 37, 12, 42, 18, 48)(6, 36, 11, 41, 24, 54, 30, 60, 20, 50)(13, 43, 19, 49, 26, 56, 22, 52, 28, 58)(14, 44, 25, 55, 16, 46, 21, 51, 27, 57)(61, 91, 63, 93, 73, 103, 78, 108, 87, 117, 71, 101, 62, 92, 69, 99, 79, 109, 64, 94, 74, 104, 84, 114, 68, 98, 83, 113, 86, 116, 70, 100, 85, 115, 90, 120, 77, 107, 89, 119, 82, 112, 67, 97, 76, 106, 80, 110, 65, 95, 75, 105, 88, 118, 72, 102, 81, 111, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 67)(9, 85)(10, 65)(11, 86)(12, 62)(13, 84)(14, 89)(15, 87)(16, 63)(17, 72)(18, 68)(19, 90)(20, 73)(21, 69)(22, 66)(23, 76)(24, 82)(25, 75)(26, 80)(27, 83)(28, 71)(29, 81)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 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 E19.373
Graph:: bipartite
	v = 7 e = 60 f = 17
	degree seq :: [ 10^6, 60 ]

E19.377 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-3, (Y1^-1 * Y3^-1)^2, (Y3, Y2), (R * Y3)^2, (R * Y2)^2, (Y1, Y3^-1), (R * Y1)^2, (Y2, Y1^-1), Y3^-1 * Y1^2 * Y3^-1 * Y1, Y1^5, Y2^-2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y3^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 5, 35)(3, 33, 9, 39, 21, 51, 29, 59, 15, 45)(4, 34, 10, 40, 7, 37, 12, 42, 18, 48)(6, 36, 11, 41, 22, 52, 27, 57, 19, 49)(13, 43, 23, 53, 20, 50, 26, 56, 28, 58)(14, 44, 24, 54, 16, 46, 25, 55, 30, 60)(61, 91, 63, 93, 73, 103, 64, 94, 74, 104, 87, 117, 77, 107, 89, 119, 86, 116, 72, 102, 85, 115, 71, 101, 62, 92, 69, 99, 83, 113, 70, 100, 84, 114, 79, 109, 65, 95, 75, 105, 88, 118, 78, 108, 90, 120, 82, 112, 68, 98, 81, 111, 80, 110, 67, 97, 76, 106, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 73)(7, 61)(8, 67)(9, 84)(10, 65)(11, 83)(12, 62)(13, 87)(14, 89)(15, 90)(16, 63)(17, 72)(18, 68)(19, 88)(20, 66)(21, 76)(22, 80)(23, 79)(24, 75)(25, 69)(26, 71)(27, 86)(28, 82)(29, 85)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 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 E19.375
Graph:: bipartite
	v = 7 e = 60 f = 17
	degree seq :: [ 10^6, 60 ]

E19.378 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-3, (Y2^-1 * R)^2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y2, Y1^-1), Y3^-2 * Y1^3, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 5, 35)(3, 33, 9, 39, 21, 51, 27, 57, 15, 45)(4, 34, 10, 40, 7, 37, 12, 42, 18, 48)(6, 36, 11, 41, 22, 52, 29, 59, 20, 50)(13, 43, 23, 53, 30, 60, 19, 49, 26, 56)(14, 44, 24, 54, 16, 46, 25, 55, 28, 58)(61, 91, 63, 93, 73, 103, 67, 97, 76, 106, 82, 112, 68, 98, 81, 111, 90, 120, 78, 108, 88, 118, 80, 110, 65, 95, 75, 105, 86, 116, 70, 100, 84, 114, 71, 101, 62, 92, 69, 99, 83, 113, 72, 102, 85, 115, 89, 119, 77, 107, 87, 117, 79, 109, 64, 94, 74, 104, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 67)(9, 84)(10, 65)(11, 86)(12, 62)(13, 66)(14, 87)(15, 88)(16, 63)(17, 72)(18, 68)(19, 89)(20, 90)(21, 76)(22, 73)(23, 71)(24, 75)(25, 69)(26, 80)(27, 85)(28, 81)(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) :: { ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 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 E19.374
Graph:: bipartite
	v = 7 e = 60 f = 17
	degree seq :: [ 10^6, 60 ]

E19.379 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^2, Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y1)^2, Y2^-1 * Y3^2 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y1^4, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 24, 56, 15, 47)(4, 36, 17, 49, 25, 57, 18, 50)(6, 38, 9, 41, 26, 58, 19, 51)(7, 39, 22, 54, 27, 59, 23, 55)(10, 42, 14, 46, 20, 52, 29, 61)(12, 44, 16, 48, 21, 53, 30, 62)(13, 45, 28, 60, 32, 64, 31, 63)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 92, 124, 75, 107)(68, 100, 80, 112, 71, 103, 78, 110)(69, 101, 83, 115, 95, 127, 79, 111)(72, 104, 88, 120, 96, 128, 90, 122)(74, 106, 87, 119, 76, 108, 82, 114)(81, 113, 84, 116, 86, 118, 85, 117)(89, 121, 94, 126, 91, 123, 93, 125)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 84)(6, 80)(7, 65)(8, 89)(9, 82)(10, 92)(11, 87)(12, 66)(13, 71)(14, 70)(15, 86)(16, 67)(17, 79)(18, 75)(19, 81)(20, 95)(21, 69)(22, 83)(23, 73)(24, 93)(25, 96)(26, 94)(27, 72)(28, 76)(29, 90)(30, 88)(31, 85)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.389
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.380 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-2, Y3^2 * Y2^2, Y1^4, Y3^4, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, R * Y2 * R * Y2^-1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 24, 56, 15, 47)(4, 36, 17, 49, 25, 57, 18, 50)(6, 38, 9, 41, 26, 58, 19, 51)(7, 39, 22, 54, 27, 59, 23, 55)(10, 42, 16, 48, 20, 52, 29, 61)(12, 44, 14, 46, 21, 53, 30, 62)(13, 45, 28, 60, 32, 64, 31, 63)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 92, 124, 75, 107)(68, 100, 80, 112, 71, 103, 78, 110)(69, 101, 83, 115, 95, 127, 79, 111)(72, 104, 88, 120, 96, 128, 90, 122)(74, 106, 82, 114, 76, 108, 87, 119)(81, 113, 85, 117, 86, 118, 84, 116)(89, 121, 93, 125, 91, 123, 94, 126)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 84)(6, 80)(7, 65)(8, 89)(9, 87)(10, 92)(11, 82)(12, 66)(13, 71)(14, 70)(15, 81)(16, 67)(17, 83)(18, 73)(19, 86)(20, 95)(21, 69)(22, 79)(23, 75)(24, 94)(25, 96)(26, 93)(27, 72)(28, 76)(29, 88)(30, 90)(31, 85)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.390
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.381 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2^4, Y1 * Y2^-2 * Y1, Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y1^4, Y1^-1 * Y2^-2 * Y1^-1, (R * Y3)^2, Y1 * Y2 * Y1^-1 * Y2, Y3^4, (R * Y1)^2, R * Y2 * R * Y2^-1, Y3^-1 * Y2 * Y3 * Y2, Y1 * Y3 * Y1 * Y2 * Y3, Y1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 6, 38, 9, 41)(4, 36, 15, 47, 24, 56, 18, 50)(7, 39, 22, 54, 25, 57, 23, 55)(10, 42, 14, 46, 19, 51, 21, 53)(12, 44, 13, 45, 20, 52, 16, 48)(17, 49, 26, 58, 32, 64, 30, 62)(27, 59, 28, 60, 29, 61, 31, 63)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 80, 112, 88, 120, 77, 109)(71, 103, 85, 117, 89, 121, 78, 110)(74, 106, 86, 118, 83, 115, 87, 119)(76, 108, 79, 111, 84, 116, 82, 114)(81, 113, 91, 123, 96, 128, 93, 125)(90, 122, 95, 127, 94, 126, 92, 124)
	L = (1, 68)(2, 74)(3, 77)(4, 81)(5, 83)(6, 80)(7, 65)(8, 88)(9, 87)(10, 90)(11, 86)(12, 66)(13, 91)(14, 67)(15, 75)(16, 93)(17, 71)(18, 73)(19, 94)(20, 69)(21, 70)(22, 92)(23, 95)(24, 96)(25, 72)(26, 76)(27, 78)(28, 79)(29, 85)(30, 84)(31, 82)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.391
Graph:: bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.382 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2 * Y1^-1, Y1^4, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, Y2^4, Y2 * Y1^2 * Y2, R * Y2 * R * Y2^-1, Y3^4, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 6, 38, 9, 41)(4, 36, 15, 47, 24, 56, 18, 50)(7, 39, 22, 54, 25, 57, 23, 55)(10, 42, 21, 53, 19, 51, 14, 46)(12, 44, 16, 48, 20, 52, 13, 45)(17, 49, 26, 58, 32, 64, 30, 62)(27, 59, 31, 63, 29, 61, 28, 60)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 80, 112, 88, 120, 77, 109)(71, 103, 85, 117, 89, 121, 78, 110)(74, 106, 87, 119, 83, 115, 86, 118)(76, 108, 82, 114, 84, 116, 79, 111)(81, 113, 91, 123, 96, 128, 93, 125)(90, 122, 92, 124, 94, 126, 95, 127)
	L = (1, 68)(2, 74)(3, 77)(4, 81)(5, 83)(6, 80)(7, 65)(8, 88)(9, 86)(10, 90)(11, 87)(12, 66)(13, 91)(14, 67)(15, 73)(16, 93)(17, 71)(18, 75)(19, 94)(20, 69)(21, 70)(22, 92)(23, 95)(24, 96)(25, 72)(26, 76)(27, 78)(28, 79)(29, 85)(30, 84)(31, 82)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.392
Graph:: bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.383 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^2, Y2^4, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y2^-1, Y1^4, (R * Y1)^2, Y2^-1 * Y3^-2 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3, Y2^-1 * Y1 * Y3 * Y1^-1 * Y3, Y1^-2 * Y2 * Y1^-2 * Y2^-1, Y3^-2 * Y1 * Y2^-2 * 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, 25, 57, 18, 50)(6, 38, 9, 41, 26, 58, 19, 51)(7, 39, 22, 54, 27, 59, 23, 55)(10, 42, 29, 61, 20, 52, 16, 48)(12, 44, 30, 62, 21, 53, 14, 46)(13, 45, 28, 60, 32, 64, 31, 63)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 92, 124, 75, 107)(68, 100, 80, 112, 71, 103, 78, 110)(69, 101, 83, 115, 95, 127, 79, 111)(72, 104, 88, 120, 96, 128, 90, 122)(74, 106, 81, 113, 76, 108, 86, 118)(82, 114, 85, 117, 87, 119, 84, 116)(89, 121, 93, 125, 91, 123, 94, 126)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 84)(6, 80)(7, 65)(8, 89)(9, 86)(10, 92)(11, 81)(12, 66)(13, 71)(14, 70)(15, 82)(16, 67)(17, 73)(18, 83)(19, 87)(20, 95)(21, 69)(22, 75)(23, 79)(24, 94)(25, 96)(26, 93)(27, 72)(28, 76)(29, 88)(30, 90)(31, 85)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.387
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.384 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^4, Y3 * Y2 * Y3^-1 * Y2, Y3^2 * Y2^2, Y2^-1 * Y3^2 * Y2^-1, R * Y2 * R * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^-1 * Y1 * Y3 * Y1^-1 * Y3^-1, Y3^2 * Y1 * Y2^-2 * Y1^-1, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 24, 56, 15, 47)(4, 36, 17, 49, 25, 57, 18, 50)(6, 38, 9, 41, 26, 58, 19, 51)(7, 39, 22, 54, 27, 59, 23, 55)(10, 42, 29, 61, 20, 52, 14, 46)(12, 44, 30, 62, 21, 53, 16, 48)(13, 45, 28, 60, 32, 64, 31, 63)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 92, 124, 75, 107)(68, 100, 80, 112, 71, 103, 78, 110)(69, 101, 83, 115, 95, 127, 79, 111)(72, 104, 88, 120, 96, 128, 90, 122)(74, 106, 86, 118, 76, 108, 81, 113)(82, 114, 84, 116, 87, 119, 85, 117)(89, 121, 94, 126, 91, 123, 93, 125)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 84)(6, 80)(7, 65)(8, 89)(9, 81)(10, 92)(11, 86)(12, 66)(13, 71)(14, 70)(15, 87)(16, 67)(17, 75)(18, 79)(19, 82)(20, 95)(21, 69)(22, 73)(23, 83)(24, 93)(25, 96)(26, 94)(27, 72)(28, 76)(29, 90)(30, 88)(31, 85)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.388
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.385 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y3)^2, Y2^4, Y2 * Y1^2 * Y2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^4, Y1 * Y3^-1 * Y1^-1 * Y2 * Y3, Y1 * Y2 * Y3^-1 * Y1^-1 * Y3, Y3^-2 * Y1^-1 * Y3^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 6, 38, 9, 41)(4, 36, 15, 47, 24, 56, 18, 50)(7, 39, 22, 54, 25, 57, 23, 55)(10, 42, 16, 48, 19, 51, 13, 45)(12, 44, 21, 53, 20, 52, 14, 46)(17, 49, 26, 58, 32, 64, 30, 62)(27, 59, 31, 63, 29, 61, 28, 60)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 80, 112, 88, 120, 77, 109)(71, 103, 85, 117, 89, 121, 78, 110)(74, 106, 82, 114, 83, 115, 79, 111)(76, 108, 87, 119, 84, 116, 86, 118)(81, 113, 91, 123, 96, 128, 93, 125)(90, 122, 92, 124, 94, 126, 95, 127)
	L = (1, 68)(2, 74)(3, 77)(4, 81)(5, 83)(6, 80)(7, 65)(8, 88)(9, 79)(10, 90)(11, 82)(12, 66)(13, 91)(14, 67)(15, 92)(16, 93)(17, 71)(18, 95)(19, 94)(20, 69)(21, 70)(22, 73)(23, 75)(24, 96)(25, 72)(26, 76)(27, 78)(28, 86)(29, 85)(30, 84)(31, 87)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.393
Graph:: bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.386 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y2 * Y1 * Y2 * Y1^-1, Y2^4, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, R * Y2 * R * Y2^-1, (R * Y3)^2, Y3^4, Y3^-1 * Y2 * Y3 * Y2, Y2^2 * Y1^2, Y1 * Y2 * Y3^-1 * Y1 * Y3, Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3, Y1^-1 * Y3^2 * Y1 * Y3^2, (Y3^2 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 6, 38, 9, 41)(4, 36, 15, 47, 24, 56, 18, 50)(7, 39, 22, 54, 25, 57, 23, 55)(10, 42, 13, 45, 19, 51, 16, 48)(12, 44, 14, 46, 20, 52, 21, 53)(17, 49, 26, 58, 32, 64, 30, 62)(27, 59, 28, 60, 29, 61, 31, 63)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 80, 112, 88, 120, 77, 109)(71, 103, 85, 117, 89, 121, 78, 110)(74, 106, 79, 111, 83, 115, 82, 114)(76, 108, 86, 118, 84, 116, 87, 119)(81, 113, 91, 123, 96, 128, 93, 125)(90, 122, 95, 127, 94, 126, 92, 124)
	L = (1, 68)(2, 74)(3, 77)(4, 81)(5, 83)(6, 80)(7, 65)(8, 88)(9, 82)(10, 90)(11, 79)(12, 66)(13, 91)(14, 67)(15, 92)(16, 93)(17, 71)(18, 95)(19, 94)(20, 69)(21, 70)(22, 75)(23, 73)(24, 96)(25, 72)(26, 76)(27, 78)(28, 86)(29, 85)(30, 84)(31, 87)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.394
Graph:: bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.387 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-2 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y1^-1 * Y3 * Y1 * Y2^-1, (R * Y1)^2, Y2 * Y3^-2 * Y2, Y2^-1 * Y1 * Y3^-1 * Y1^-1, R * Y2 * R * Y2^-1, (R * Y3)^2, Y2^4, Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-2, (Y3 * Y1^2 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 13, 45, 26, 58, 19, 51, 5, 37)(3, 35, 12, 44, 24, 56, 20, 52, 6, 38, 10, 42, 22, 54, 15, 47)(4, 36, 9, 41, 25, 57, 18, 50, 7, 39, 11, 43, 23, 55, 17, 49)(14, 46, 27, 59, 31, 63, 30, 62, 16, 48, 28, 60, 32, 64, 29, 61)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 90, 122, 75, 107)(68, 100, 80, 112, 71, 103, 78, 110)(69, 101, 82, 114, 85, 117, 81, 113)(72, 104, 86, 118, 83, 115, 88, 120)(74, 106, 92, 124, 76, 108, 91, 123)(79, 111, 94, 126, 84, 116, 93, 125)(87, 119, 96, 128, 89, 121, 95, 127)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 79)(6, 80)(7, 65)(8, 87)(9, 91)(10, 90)(11, 92)(12, 66)(13, 71)(14, 70)(15, 85)(16, 67)(17, 94)(18, 93)(19, 89)(20, 69)(21, 84)(22, 95)(23, 83)(24, 96)(25, 72)(26, 76)(27, 75)(28, 73)(29, 81)(30, 82)(31, 88)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.383
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.388 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3^2 * Y2, Y3 * Y2 * Y3 * Y2^-1, R * Y2 * R * Y2^-1, (R * Y3)^2, Y2^4, Y1^-1 * Y2 * Y1 * Y3^-1, Y3 * Y1 * Y2 * Y1^-1, (R * Y1)^2, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-2, (Y3 * Y1^2 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 13, 45, 26, 58, 19, 51, 5, 37)(3, 35, 10, 42, 24, 56, 18, 50, 6, 38, 12, 44, 22, 54, 15, 47)(4, 36, 11, 43, 25, 57, 20, 52, 7, 39, 9, 41, 23, 55, 17, 49)(14, 46, 27, 59, 31, 63, 30, 62, 16, 48, 28, 60, 32, 64, 29, 61)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 90, 122, 75, 107)(68, 100, 80, 112, 71, 103, 78, 110)(69, 101, 81, 113, 85, 117, 84, 116)(72, 104, 86, 118, 83, 115, 88, 120)(74, 106, 92, 124, 76, 108, 91, 123)(79, 111, 93, 125, 82, 114, 94, 126)(87, 119, 96, 128, 89, 121, 95, 127)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 82)(6, 80)(7, 65)(8, 87)(9, 91)(10, 90)(11, 92)(12, 66)(13, 71)(14, 70)(15, 69)(16, 67)(17, 93)(18, 85)(19, 89)(20, 94)(21, 79)(22, 95)(23, 83)(24, 96)(25, 72)(26, 76)(27, 75)(28, 73)(29, 84)(30, 81)(31, 88)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.384
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.389 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y1^-2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, Y2^4, Y3^-2 * Y2^-2, Y3^-2 * Y2^2, (R * Y3)^2, (R * Y1)^2, Y1^4 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-2 * Y1^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2^-1, (Y2 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 14, 46, 21, 53, 16, 48, 5, 37)(3, 35, 13, 45, 7, 39, 18, 50, 6, 38, 17, 49, 4, 36, 15, 47)(9, 41, 20, 52, 12, 44, 24, 56, 11, 43, 23, 55, 10, 42, 22, 54)(25, 57, 29, 61, 28, 60, 32, 64, 27, 59, 31, 63, 26, 58, 30, 62)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 85, 117, 75, 107)(68, 100, 80, 112, 71, 103, 72, 104)(69, 101, 76, 108, 83, 115, 74, 106)(77, 109, 89, 121, 81, 113, 91, 123)(79, 111, 92, 124, 82, 114, 90, 122)(84, 116, 93, 125, 87, 119, 95, 127)(86, 118, 96, 128, 88, 120, 94, 126)
	L = (1, 68)(2, 74)(3, 72)(4, 78)(5, 73)(6, 80)(7, 65)(8, 70)(9, 83)(10, 85)(11, 69)(12, 66)(13, 90)(14, 71)(15, 89)(16, 67)(17, 92)(18, 91)(19, 75)(20, 94)(21, 76)(22, 93)(23, 96)(24, 95)(25, 82)(26, 81)(27, 79)(28, 77)(29, 88)(30, 87)(31, 86)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.379
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.390 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^2 * Y3^-1, Y1^-1 * Y3 * Y2 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-2, (R * Y1)^2, Y2 * Y3^-1 * Y1^-2, Y2^4, Y2^-1 * Y3^-2 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (Y2 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 14, 46, 21, 53, 15, 47, 5, 37)(3, 35, 13, 45, 4, 36, 17, 49, 6, 38, 18, 50, 7, 39, 16, 48)(9, 41, 20, 52, 10, 42, 23, 55, 11, 43, 24, 56, 12, 44, 22, 54)(25, 57, 29, 61, 26, 58, 30, 62, 27, 59, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 85, 117, 75, 107)(68, 100, 72, 104, 71, 103, 79, 111)(69, 101, 74, 106, 83, 115, 76, 108)(77, 109, 89, 121, 82, 114, 91, 123)(80, 112, 90, 122, 81, 113, 92, 124)(84, 116, 93, 125, 88, 120, 95, 127)(86, 118, 94, 126, 87, 119, 96, 128)
	L = (1, 68)(2, 74)(3, 79)(4, 78)(5, 75)(6, 72)(7, 65)(8, 67)(9, 69)(10, 85)(11, 83)(12, 66)(13, 90)(14, 71)(15, 70)(16, 91)(17, 89)(18, 92)(19, 73)(20, 94)(21, 76)(22, 95)(23, 93)(24, 96)(25, 80)(26, 82)(27, 81)(28, 77)(29, 86)(30, 88)(31, 87)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.380
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.391 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^2, Y2^4, Y2 * Y3^-1 * Y1^-2, Y3 * Y1 * Y2 * Y1^-1, Y2^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y1^-1 * R * Y2 * R * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3 * R * Y2^-1 * R, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y2^-1 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 31, 63, 29, 61, 18, 50, 5, 37)(3, 35, 13, 45, 4, 36, 11, 43, 28, 60, 12, 44, 22, 54, 16, 48)(6, 38, 20, 52, 7, 39, 9, 41, 24, 56, 10, 42, 23, 55, 19, 51)(14, 46, 25, 57, 15, 47, 26, 58, 32, 64, 30, 62, 17, 49, 27, 59)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 89, 121, 75, 107)(68, 100, 81, 113, 71, 103, 82, 114)(69, 101, 74, 106, 91, 123, 76, 108)(72, 104, 86, 118, 79, 111, 87, 119)(77, 109, 85, 117, 84, 116, 90, 122)(80, 112, 93, 125, 83, 115, 94, 126)(88, 120, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 74)(3, 79)(4, 78)(5, 83)(6, 72)(7, 65)(8, 67)(9, 90)(10, 89)(11, 85)(12, 66)(13, 93)(14, 71)(15, 70)(16, 69)(17, 88)(18, 92)(19, 91)(20, 94)(21, 73)(22, 96)(23, 95)(24, 82)(25, 76)(26, 75)(27, 80)(28, 81)(29, 84)(30, 77)(31, 86)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.381
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.392 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2 * Y2, Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2^4, (R * Y1)^2, Y3^-1 * Y2^2 * Y3^-1, (R * Y3)^2, Y3^4, Y2 * Y1 * Y3 * Y1^-1, Y1 * Y2^-1 * Y1^3 * Y3^-1, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1, Y3^2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 31, 63, 30, 62, 16, 48, 5, 37)(3, 35, 12, 44, 28, 60, 11, 43, 22, 54, 18, 50, 4, 36, 15, 47)(6, 38, 10, 42, 26, 58, 9, 41, 23, 55, 19, 51, 7, 39, 20, 52)(13, 45, 24, 56, 17, 49, 27, 59, 32, 64, 29, 61, 14, 46, 25, 57)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 81, 113, 71, 103, 72, 104)(69, 101, 83, 115, 89, 121, 82, 114)(74, 106, 91, 123, 76, 108, 85, 117)(78, 110, 90, 122, 80, 112, 92, 124)(79, 111, 94, 126, 84, 116, 93, 125)(86, 118, 96, 128, 87, 119, 95, 127)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 73)(6, 80)(7, 65)(8, 86)(9, 89)(10, 88)(11, 69)(12, 66)(13, 71)(14, 70)(15, 85)(16, 67)(17, 87)(18, 94)(19, 93)(20, 91)(21, 84)(22, 81)(23, 72)(24, 76)(25, 75)(26, 95)(27, 79)(28, 96)(29, 82)(30, 83)(31, 92)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.382
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.393 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^-2, (R * Y3)^2, Y3 * Y2^-2 * Y3, Y3^-1 * Y1^-1 * Y2 * Y1, Y2^-1 * Y1^-2 * Y3^-1, (R * Y1)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1, Y3^2 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^2 * Y1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1, (Y1 * Y2)^4, Y3^-1 * Y2^-1 * Y1^6, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 31, 63, 29, 61, 14, 46, 5, 37)(3, 35, 10, 42, 27, 59, 11, 43, 23, 55, 20, 52, 7, 39, 15, 47)(4, 36, 17, 49, 6, 38, 12, 44, 25, 57, 9, 41, 22, 54, 18, 50)(13, 45, 24, 56, 19, 51, 28, 60, 32, 64, 30, 62, 16, 48, 26, 58)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 72, 104, 71, 103, 83, 115)(69, 101, 82, 114, 90, 122, 84, 116)(74, 106, 85, 117, 76, 108, 92, 124)(78, 110, 91, 123, 80, 112, 89, 121)(79, 111, 93, 125, 81, 113, 94, 126)(86, 118, 95, 127, 87, 119, 96, 128)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 75)(6, 80)(7, 65)(8, 86)(9, 69)(10, 88)(11, 90)(12, 66)(13, 71)(14, 70)(15, 92)(16, 67)(17, 85)(18, 93)(19, 87)(20, 94)(21, 79)(22, 83)(23, 72)(24, 76)(25, 96)(26, 73)(27, 95)(28, 81)(29, 84)(30, 82)(31, 89)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.385
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.394 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2 * Y3, Y2 * Y3^2 * Y2, Y3 * Y1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y2^4, (R * Y1)^2, Y3^-1 * Y1^-2 * Y2^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-3 * Y3 * Y1^-1 * Y2^-1, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 31, 63, 30, 62, 17, 49, 5, 37)(3, 35, 13, 45, 7, 39, 11, 43, 27, 59, 10, 42, 22, 54, 15, 47)(4, 36, 9, 41, 24, 56, 12, 44, 23, 55, 20, 52, 6, 38, 18, 50)(14, 46, 25, 57, 16, 48, 26, 58, 32, 64, 29, 61, 19, 51, 28, 60)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 89, 121, 75, 107)(68, 100, 81, 113, 71, 103, 83, 115)(69, 101, 76, 108, 92, 124, 74, 106)(72, 104, 86, 118, 80, 112, 87, 119)(77, 109, 85, 117, 82, 114, 90, 122)(79, 111, 94, 126, 84, 116, 93, 125)(88, 120, 95, 127, 91, 123, 96, 128)
	L = (1, 68)(2, 74)(3, 72)(4, 78)(5, 79)(6, 80)(7, 65)(8, 70)(9, 85)(10, 89)(11, 90)(12, 66)(13, 93)(14, 71)(15, 92)(16, 67)(17, 88)(18, 94)(19, 91)(20, 69)(21, 75)(22, 95)(23, 96)(24, 83)(25, 76)(26, 73)(27, 81)(28, 84)(29, 82)(30, 77)(31, 87)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.386
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.395 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y3)^2, Y2^4, (Y2^-1 * R)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, Y1^4, (Y2, Y1^-1), Y3 * Y1 * Y2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 8, 40, 19, 51, 13, 45)(4, 36, 14, 46, 29, 61, 15, 47)(6, 38, 10, 42, 21, 53, 18, 50)(9, 41, 16, 48, 30, 62, 23, 55)(11, 43, 22, 54, 32, 64, 26, 58)(12, 44, 17, 49, 31, 63, 27, 59)(20, 52, 24, 56, 25, 57, 28, 60)(65, 97, 67, 99, 75, 107, 70, 102)(66, 98, 72, 104, 86, 118, 74, 106)(68, 100, 76, 108, 89, 121, 80, 112)(69, 101, 77, 109, 90, 122, 82, 114)(71, 103, 83, 115, 96, 128, 85, 117)(73, 105, 79, 111, 91, 123, 88, 120)(78, 110, 81, 113, 92, 124, 94, 126)(84, 116, 87, 119, 93, 125, 95, 127)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 81)(6, 80)(7, 84)(8, 79)(9, 66)(10, 88)(11, 89)(12, 67)(13, 92)(14, 82)(15, 72)(16, 70)(17, 69)(18, 78)(19, 87)(20, 71)(21, 95)(22, 91)(23, 83)(24, 74)(25, 75)(26, 94)(27, 86)(28, 77)(29, 96)(30, 90)(31, 85)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.413
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.396 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y3, (Y2^-1 * R)^2, Y2^4, (R * Y1)^2, Y1^4, (Y2, Y1^-1), Y1 * Y3 * Y1 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 8, 40, 19, 51, 13, 45)(4, 36, 14, 46, 28, 60, 15, 47)(6, 38, 10, 42, 21, 53, 18, 50)(9, 41, 12, 44, 27, 59, 24, 56)(11, 43, 22, 54, 32, 64, 26, 58)(16, 48, 17, 49, 30, 62, 29, 61)(20, 52, 23, 55, 25, 57, 31, 63)(65, 97, 67, 99, 75, 107, 70, 102)(66, 98, 72, 104, 86, 118, 74, 106)(68, 100, 76, 108, 89, 121, 80, 112)(69, 101, 77, 109, 90, 122, 82, 114)(71, 103, 83, 115, 96, 128, 85, 117)(73, 105, 87, 119, 93, 125, 79, 111)(78, 110, 91, 123, 95, 127, 81, 113)(84, 116, 94, 126, 92, 124, 88, 120)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 81)(6, 80)(7, 84)(8, 87)(9, 66)(10, 79)(11, 89)(12, 67)(13, 78)(14, 77)(15, 74)(16, 70)(17, 69)(18, 95)(19, 94)(20, 71)(21, 88)(22, 93)(23, 72)(24, 85)(25, 75)(26, 91)(27, 90)(28, 96)(29, 86)(30, 83)(31, 82)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.414
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.397 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1^2 * Y2, Y2^4, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3, Y2^-1), Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3, Y1 * Y3^-1 * Y1^-1 * Y2 * Y3, (Y1^-1 * Y3^2)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 6, 38, 9, 41)(4, 36, 15, 47, 24, 56, 17, 49)(7, 39, 22, 54, 25, 57, 23, 55)(10, 42, 18, 50, 19, 51, 13, 45)(12, 44, 14, 46, 20, 52, 21, 53)(16, 48, 29, 61, 32, 64, 26, 58)(27, 59, 28, 60, 30, 62, 31, 63)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 77, 109, 88, 120, 82, 114)(71, 103, 78, 110, 89, 121, 85, 117)(74, 106, 79, 111, 83, 115, 81, 113)(76, 108, 87, 119, 84, 116, 86, 118)(80, 112, 91, 123, 96, 128, 94, 126)(90, 122, 92, 124, 93, 125, 95, 127)
	L = (1, 68)(2, 74)(3, 77)(4, 80)(5, 83)(6, 82)(7, 65)(8, 88)(9, 79)(10, 90)(11, 81)(12, 66)(13, 91)(14, 67)(15, 92)(16, 71)(17, 95)(18, 94)(19, 93)(20, 69)(21, 70)(22, 75)(23, 73)(24, 96)(25, 72)(26, 76)(27, 78)(28, 87)(29, 84)(30, 85)(31, 86)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.412
Graph:: bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.398 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y3, Y2^-1), Y2^4, (R * Y3)^2, (R * Y2)^2, Y3^4, Y2 * Y1^2 * Y2, (Y2 * Y1^-1)^2, Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 6, 38, 11, 43)(4, 36, 15, 47, 24, 56, 17, 49)(7, 39, 22, 54, 25, 57, 23, 55)(10, 42, 14, 46, 19, 51, 21, 53)(12, 44, 18, 50, 20, 52, 13, 45)(16, 48, 29, 61, 32, 64, 26, 58)(27, 59, 28, 60, 30, 62, 31, 63)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 77, 109, 88, 120, 82, 114)(71, 103, 78, 110, 89, 121, 85, 117)(74, 106, 86, 118, 83, 115, 87, 119)(76, 108, 81, 113, 84, 116, 79, 111)(80, 112, 91, 123, 96, 128, 94, 126)(90, 122, 95, 127, 93, 125, 92, 124)
	L = (1, 68)(2, 74)(3, 77)(4, 80)(5, 83)(6, 82)(7, 65)(8, 88)(9, 86)(10, 90)(11, 87)(12, 66)(13, 91)(14, 67)(15, 75)(16, 71)(17, 73)(18, 94)(19, 93)(20, 69)(21, 70)(22, 95)(23, 92)(24, 96)(25, 72)(26, 76)(27, 78)(28, 79)(29, 84)(30, 85)(31, 81)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.411
Graph:: bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.399 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y1^-1, Y3^4, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3, Y2^-1), Y1^4, Y2^4, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3, Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 6, 38, 9, 41)(4, 36, 15, 47, 24, 56, 17, 49)(7, 39, 22, 54, 25, 57, 23, 55)(10, 42, 13, 45, 19, 51, 18, 50)(12, 44, 21, 53, 20, 52, 14, 46)(16, 48, 29, 61, 32, 64, 26, 58)(27, 59, 31, 63, 30, 62, 28, 60)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 77, 109, 88, 120, 82, 114)(71, 103, 78, 110, 89, 121, 85, 117)(74, 106, 81, 113, 83, 115, 79, 111)(76, 108, 86, 118, 84, 116, 87, 119)(80, 112, 91, 123, 96, 128, 94, 126)(90, 122, 95, 127, 93, 125, 92, 124)
	L = (1, 68)(2, 74)(3, 77)(4, 80)(5, 83)(6, 82)(7, 65)(8, 88)(9, 81)(10, 90)(11, 79)(12, 66)(13, 91)(14, 67)(15, 92)(16, 71)(17, 95)(18, 94)(19, 93)(20, 69)(21, 70)(22, 73)(23, 75)(24, 96)(25, 72)(26, 76)(27, 78)(28, 87)(29, 84)(30, 85)(31, 86)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.410
Graph:: bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.400 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^2, Y1^-2 * Y2^2, (R * Y1)^2, (R * Y2)^2, (Y1^-1, Y2), (R * Y3)^2, Y2^4, Y3^4, (Y3, Y2^-1), Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 6, 38, 11, 43)(4, 36, 15, 47, 24, 56, 17, 49)(7, 39, 22, 54, 25, 57, 23, 55)(10, 42, 21, 53, 19, 51, 14, 46)(12, 44, 13, 45, 20, 52, 18, 50)(16, 48, 29, 61, 32, 64, 26, 58)(27, 59, 31, 63, 30, 62, 28, 60)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 77, 109, 88, 120, 82, 114)(71, 103, 78, 110, 89, 121, 85, 117)(74, 106, 87, 119, 83, 115, 86, 118)(76, 108, 79, 111, 84, 116, 81, 113)(80, 112, 91, 123, 96, 128, 94, 126)(90, 122, 92, 124, 93, 125, 95, 127)
	L = (1, 68)(2, 74)(3, 77)(4, 80)(5, 83)(6, 82)(7, 65)(8, 88)(9, 87)(10, 90)(11, 86)(12, 66)(13, 91)(14, 67)(15, 73)(16, 71)(17, 75)(18, 94)(19, 93)(20, 69)(21, 70)(22, 95)(23, 92)(24, 96)(25, 72)(26, 76)(27, 78)(28, 79)(29, 84)(30, 85)(31, 81)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.409
Graph:: bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.401 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y3), (R * Y1)^2, Y1^4, Y2 * Y1^-1 * Y3^-1 * Y1, Y3^4, Y2^4, Y3^-1 * Y1^-1 * Y2 * Y1, (Y3 * Y2 * Y1^-1)^2, (Y2^-2 * Y1^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y1^-2, Y3^-1 * Y1^2 * Y3^-1 * Y2^-2, Y1^-1 * Y2^2 * Y3^-2 * Y1^-1, Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 10, 42, 23, 55, 15, 47)(4, 36, 9, 41, 24, 56, 18, 50)(6, 38, 12, 44, 25, 57, 21, 53)(7, 39, 11, 43, 26, 58, 20, 52)(13, 45, 30, 62, 17, 49, 27, 59)(14, 46, 28, 60, 22, 54, 32, 64)(16, 48, 31, 63, 19, 51, 29, 61)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 91, 123, 75, 107)(68, 100, 78, 110, 90, 122, 83, 115)(69, 101, 82, 114, 94, 126, 84, 116)(71, 103, 80, 112, 88, 120, 86, 118)(72, 104, 87, 119, 81, 113, 89, 121)(74, 106, 92, 124, 85, 117, 95, 127)(76, 108, 93, 125, 79, 111, 96, 128)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 79)(6, 83)(7, 65)(8, 88)(9, 92)(10, 94)(11, 95)(12, 66)(13, 90)(14, 89)(15, 91)(16, 67)(17, 71)(18, 96)(19, 87)(20, 93)(21, 69)(22, 70)(23, 86)(24, 77)(25, 80)(26, 72)(27, 85)(28, 84)(29, 73)(30, 76)(31, 82)(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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.408
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.402 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^4, Y1^4, (R * Y2)^2, (Y2^-1, Y3), (R * Y3)^2, Y2 * Y1^-1 * Y3 * Y1, Y1^-1 * Y2 * Y1 * Y3, (R * Y1)^2, Y3^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y3 * Y2 * Y3 * Y2 * Y1^-2, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y3^-1 * Y2 * Y1^-1)^2, Y1^-1 * Y3^-2 * Y2^-2 * Y1^-1, Y3^2 * Y1^-1 * Y3^-2 * Y1^-1, Y3^2 * Y1 * Y2^-2 * Y1^-1, (Y2^-2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 12, 44, 23, 55, 15, 47)(4, 36, 11, 43, 24, 56, 18, 50)(6, 38, 10, 42, 25, 57, 21, 53)(7, 39, 9, 41, 26, 58, 20, 52)(13, 45, 30, 62, 17, 49, 27, 59)(14, 46, 32, 64, 22, 54, 28, 60)(16, 48, 29, 61, 19, 51, 31, 63)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 91, 123, 75, 107)(68, 100, 78, 110, 90, 122, 83, 115)(69, 101, 84, 116, 94, 126, 82, 114)(71, 103, 80, 112, 88, 120, 86, 118)(72, 104, 87, 119, 81, 113, 89, 121)(74, 106, 92, 124, 79, 111, 95, 127)(76, 108, 93, 125, 85, 117, 96, 128)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 85)(6, 83)(7, 65)(8, 88)(9, 92)(10, 94)(11, 95)(12, 66)(13, 90)(14, 89)(15, 69)(16, 67)(17, 71)(18, 93)(19, 87)(20, 96)(21, 91)(22, 70)(23, 86)(24, 77)(25, 80)(26, 72)(27, 79)(28, 82)(29, 73)(30, 76)(31, 84)(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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.406
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.403 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, Y3^4, (R * Y3)^2, Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2^4, Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y3^2 * Y1^-2, Y3^-1 * Y2^-2 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 23, 55, 10, 42)(4, 36, 17, 49, 24, 56, 9, 41)(6, 38, 21, 53, 25, 57, 12, 44)(7, 39, 20, 52, 26, 58, 11, 43)(14, 46, 30, 62, 18, 50, 27, 59)(15, 47, 28, 60, 22, 54, 32, 64)(16, 48, 31, 63, 19, 51, 29, 61)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 91, 123, 75, 107)(68, 100, 79, 111, 90, 122, 83, 115)(69, 101, 81, 113, 94, 126, 84, 116)(71, 103, 80, 112, 88, 120, 86, 118)(72, 104, 87, 119, 82, 114, 89, 121)(74, 106, 92, 124, 85, 117, 95, 127)(76, 108, 93, 125, 77, 109, 96, 128)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 77)(6, 83)(7, 65)(8, 88)(9, 92)(10, 94)(11, 95)(12, 66)(13, 91)(14, 90)(15, 89)(16, 67)(17, 96)(18, 71)(19, 87)(20, 93)(21, 69)(22, 70)(23, 86)(24, 78)(25, 80)(26, 72)(27, 85)(28, 84)(29, 73)(30, 76)(31, 81)(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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.407
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.404 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y1^4, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y3), Y2^4, Y3 * Y1^-1 * Y2 * Y1^-1, Y1 * Y2 * Y1 * Y3, (R * Y3)^2, Y3^-1 * Y2^2 * Y3^-1 * Y1^-2, Y3 * Y2 * Y3 * Y2 * Y1^-2, Y2^-1 * Y3^-2 * Y2^-1 * Y1^-2, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 23, 55, 12, 44)(4, 36, 17, 49, 24, 56, 11, 43)(6, 38, 21, 53, 25, 57, 10, 42)(7, 39, 20, 52, 26, 58, 9, 41)(14, 46, 30, 62, 18, 50, 27, 59)(15, 47, 32, 64, 22, 54, 28, 60)(16, 48, 29, 61, 19, 51, 31, 63)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 91, 123, 75, 107)(68, 100, 79, 111, 90, 122, 83, 115)(69, 101, 84, 116, 94, 126, 81, 113)(71, 103, 80, 112, 88, 120, 86, 118)(72, 104, 87, 119, 82, 114, 89, 121)(74, 106, 92, 124, 77, 109, 95, 127)(76, 108, 93, 125, 85, 117, 96, 128)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 85)(6, 83)(7, 65)(8, 88)(9, 92)(10, 94)(11, 95)(12, 66)(13, 69)(14, 90)(15, 89)(16, 67)(17, 93)(18, 71)(19, 87)(20, 96)(21, 91)(22, 70)(23, 86)(24, 78)(25, 80)(26, 72)(27, 77)(28, 81)(29, 73)(30, 76)(31, 84)(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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.405
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.405 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^2 * Y2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^4, (Y3 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 8, 40, 9, 41, 11, 43, 3, 35, 5, 37)(4, 36, 12, 44, 14, 46, 23, 55, 19, 51, 20, 52, 10, 42, 13, 45)(7, 39, 16, 48, 18, 50, 27, 59, 21, 53, 25, 57, 15, 47, 17, 49)(22, 54, 30, 62, 32, 64, 28, 60, 29, 61, 26, 58, 24, 56, 31, 63)(65, 97, 67, 99, 73, 105, 70, 102)(66, 98, 69, 101, 75, 107, 72, 104)(68, 100, 74, 106, 83, 115, 78, 110)(71, 103, 79, 111, 85, 117, 82, 114)(76, 108, 77, 109, 84, 116, 87, 119)(80, 112, 81, 113, 89, 121, 91, 123)(86, 118, 88, 120, 93, 125, 96, 128)(90, 122, 92, 124, 94, 126, 95, 127)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 79)(6, 78)(7, 66)(8, 82)(9, 83)(10, 67)(11, 85)(12, 86)(13, 88)(14, 70)(15, 69)(16, 90)(17, 92)(18, 72)(19, 73)(20, 93)(21, 75)(22, 76)(23, 96)(24, 77)(25, 94)(26, 80)(27, 95)(28, 81)(29, 84)(30, 89)(31, 91)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.404
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.406 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-2 * Y2, Y3 * Y2^-1 * Y3 * Y2, (R * Y2)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y3 * Y1 * Y2 * Y1 * Y3, (Y3 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 3, 35, 7, 39, 9, 41, 15, 47, 6, 38, 5, 37)(4, 36, 11, 43, 10, 42, 20, 52, 19, 51, 23, 55, 13, 45, 12, 44)(8, 40, 17, 49, 16, 48, 26, 58, 25, 57, 24, 56, 14, 46, 18, 50)(21, 53, 30, 62, 29, 61, 28, 60, 32, 64, 27, 59, 22, 54, 31, 63)(65, 97, 67, 99, 73, 105, 70, 102)(66, 98, 71, 103, 79, 111, 69, 101)(68, 100, 74, 106, 83, 115, 77, 109)(72, 104, 80, 112, 89, 121, 78, 110)(75, 107, 84, 116, 87, 119, 76, 108)(81, 113, 90, 122, 88, 120, 82, 114)(85, 117, 93, 125, 96, 128, 86, 118)(91, 123, 95, 127, 94, 126, 92, 124)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 78)(6, 77)(7, 80)(8, 66)(9, 83)(10, 67)(11, 85)(12, 86)(13, 70)(14, 69)(15, 89)(16, 71)(17, 91)(18, 92)(19, 73)(20, 93)(21, 75)(22, 76)(23, 96)(24, 94)(25, 79)(26, 95)(27, 81)(28, 82)(29, 84)(30, 88)(31, 90)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.402
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.407 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), Y3^4, Y2^4, Y2 * Y1 * Y2 * Y1^-1, (Y3^-1 * Y1)^2, Y1 * Y2 * Y1 * Y3^-2, (Y3^-1 * Y1^-1)^4, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 26, 58, 13, 45, 28, 60, 22, 54, 5, 37)(3, 35, 11, 43, 27, 59, 20, 52, 6, 38, 9, 41, 18, 50, 15, 47)(4, 36, 17, 49, 16, 48, 32, 64, 31, 63, 23, 55, 24, 56, 12, 44)(7, 39, 21, 53, 14, 46, 10, 42, 30, 62, 29, 61, 19, 51, 25, 57)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 92, 124, 75, 107)(68, 100, 78, 110, 95, 127, 83, 115)(69, 101, 84, 116, 90, 122, 79, 111)(71, 103, 80, 112, 94, 126, 88, 120)(72, 104, 91, 123, 86, 118, 82, 114)(74, 106, 81, 113, 89, 121, 87, 119)(76, 108, 93, 125, 96, 128, 85, 117)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 85)(6, 83)(7, 65)(8, 80)(9, 81)(10, 84)(11, 87)(12, 66)(13, 95)(14, 72)(15, 96)(16, 67)(17, 90)(18, 71)(19, 86)(20, 76)(21, 75)(22, 88)(23, 69)(24, 70)(25, 79)(26, 93)(27, 94)(28, 89)(29, 73)(30, 77)(31, 91)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.403
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.408 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^4, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^4, Y1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1, Y1^-1 * Y2 * Y1^-1 * Y3^-2, Y2 * Y1^2 * Y3^-2, Y1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1, Y1^-1 * Y2^2 * Y1^-3, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 26, 58, 13, 45, 28, 60, 22, 54, 5, 37)(3, 35, 11, 43, 18, 50, 20, 52, 6, 38, 9, 41, 27, 59, 15, 47)(4, 36, 17, 49, 24, 56, 32, 64, 31, 63, 23, 55, 16, 48, 12, 44)(7, 39, 21, 53, 19, 51, 10, 42, 29, 61, 30, 62, 14, 46, 25, 57)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 92, 124, 75, 107)(68, 100, 78, 110, 95, 127, 83, 115)(69, 101, 84, 116, 90, 122, 79, 111)(71, 103, 80, 112, 93, 125, 88, 120)(72, 104, 82, 114, 86, 118, 91, 123)(74, 106, 87, 119, 89, 121, 81, 113)(76, 108, 85, 117, 96, 128, 94, 126)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 85)(6, 83)(7, 65)(8, 88)(9, 87)(10, 79)(11, 81)(12, 66)(13, 95)(14, 86)(15, 76)(16, 67)(17, 90)(18, 71)(19, 72)(20, 96)(21, 73)(22, 80)(23, 69)(24, 70)(25, 84)(26, 94)(27, 93)(28, 89)(29, 77)(30, 75)(31, 91)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.401
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.409 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1^2, (Y2, Y3^-1), (Y1 * Y3^-1)^2, Y3 * Y1^-1 * Y2 * Y1, Y3 * Y1^-2 * Y2^-1, Y3^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, (R * Y2)^2, Y3^4, Y2^4, Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y2^2, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 20, 52, 30, 62, 29, 61, 16, 48, 5, 37)(3, 35, 12, 44, 4, 36, 11, 43, 21, 53, 32, 64, 27, 59, 15, 47)(6, 38, 10, 42, 22, 54, 31, 63, 28, 60, 18, 50, 7, 39, 9, 41)(13, 45, 25, 57, 14, 46, 26, 58, 17, 49, 23, 55, 19, 51, 24, 56)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 87, 119, 75, 107)(68, 100, 78, 110, 86, 118, 72, 104)(69, 101, 82, 114, 90, 122, 76, 108)(71, 103, 80, 112, 91, 123, 83, 115)(74, 106, 88, 120, 96, 128, 84, 116)(79, 111, 93, 125, 95, 127, 89, 121)(81, 113, 92, 124, 94, 126, 85, 117)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 73)(6, 72)(7, 65)(8, 85)(9, 88)(10, 89)(11, 84)(12, 66)(13, 86)(14, 92)(15, 69)(16, 67)(17, 71)(18, 87)(19, 70)(20, 95)(21, 83)(22, 94)(23, 96)(24, 79)(25, 76)(26, 75)(27, 77)(28, 80)(29, 82)(30, 91)(31, 90)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.400
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.410 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y1^2, Y3^-1 * Y1 * Y2 * Y1^-1, Y2^-1 * Y1^2 * Y3^-1, (Y3 * Y1^-1)^2, Y2^4, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^4, Y2 * Y3^-1 * Y1^-1 * Y2^2 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2, (Y3 * Y2)^4, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 20, 52, 30, 62, 29, 61, 17, 49, 5, 37)(3, 35, 10, 42, 21, 53, 32, 64, 28, 60, 18, 50, 7, 39, 11, 43)(4, 36, 9, 41, 22, 54, 31, 63, 27, 59, 19, 51, 6, 38, 12, 44)(13, 45, 25, 57, 16, 48, 24, 56, 15, 47, 23, 55, 14, 46, 26, 58)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 87, 119, 75, 107)(68, 100, 72, 104, 85, 117, 80, 112)(69, 101, 76, 108, 88, 120, 82, 114)(71, 103, 78, 110, 91, 123, 81, 113)(74, 106, 84, 116, 95, 127, 90, 122)(79, 111, 86, 118, 94, 126, 92, 124)(83, 115, 89, 121, 96, 128, 93, 125)
	L = (1, 68)(2, 74)(3, 72)(4, 79)(5, 75)(6, 80)(7, 65)(8, 86)(9, 84)(10, 89)(11, 90)(12, 66)(13, 85)(14, 67)(15, 71)(16, 92)(17, 70)(18, 87)(19, 69)(20, 96)(21, 94)(22, 78)(23, 95)(24, 73)(25, 76)(26, 83)(27, 77)(28, 81)(29, 82)(30, 91)(31, 93)(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) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.399
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.411 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3^-1), Y1^-2 * Y2 * Y3^-1, Y3 * Y1^2 * Y2^-1, (R * Y2)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y3^4, Y2^4, Y3^-2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2^-2 * Y1^-1, Y2^2 * Y1 * Y3^-2 * Y1^-1, Y3^-1 * Y1 * Y3^2 * Y2 * Y1^-1, (Y2^-1 * Y1)^4, Y1^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 22, 54, 32, 64, 31, 63, 18, 50, 5, 37)(3, 35, 13, 45, 23, 55, 11, 43, 29, 61, 12, 44, 4, 36, 16, 48)(6, 38, 20, 52, 7, 39, 19, 51, 24, 56, 10, 42, 27, 59, 9, 41)(14, 46, 28, 60, 21, 53, 26, 58, 17, 49, 25, 57, 15, 47, 30, 62)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 89, 121, 75, 107)(68, 100, 79, 111, 91, 123, 82, 114)(69, 101, 74, 106, 90, 122, 77, 109)(71, 103, 72, 104, 87, 119, 85, 117)(76, 108, 86, 118, 84, 116, 94, 126)(80, 112, 95, 127, 83, 115, 92, 124)(81, 113, 88, 120, 96, 128, 93, 125)
	L = (1, 68)(2, 74)(3, 79)(4, 81)(5, 83)(6, 82)(7, 65)(8, 67)(9, 90)(10, 92)(11, 69)(12, 66)(13, 95)(14, 91)(15, 88)(16, 86)(17, 71)(18, 93)(19, 94)(20, 89)(21, 70)(22, 73)(23, 78)(24, 72)(25, 77)(26, 80)(27, 96)(28, 76)(29, 85)(30, 75)(31, 84)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.398
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.412 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-2 * Y3^-1, Y3 * Y2 * Y1^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y2^4, (Y2^-1 * R)^2, (Y2 * Y1^-1)^2, Y3^-1 * Y1^-1 * Y3 * Y2^-2 * Y1^-1, Y3^-1 * Y1 * Y3^2 * Y2^-1 * Y1^-1, Y2^-2 * Y3 * Y2^2 * Y3^-1, Y2^2 * Y1 * Y3^-2 * Y1^-1, (Y3^-1 * Y2^-1)^4, Y2^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 22, 54, 32, 64, 31, 63, 15, 47, 5, 37)(3, 35, 13, 45, 7, 39, 21, 53, 24, 56, 10, 42, 28, 60, 11, 43)(4, 36, 17, 49, 6, 38, 20, 52, 23, 55, 9, 41, 25, 57, 12, 44)(14, 46, 29, 61, 16, 48, 30, 62, 18, 50, 26, 58, 19, 51, 27, 59)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 90, 122, 75, 107)(68, 100, 79, 111, 92, 124, 83, 115)(69, 101, 84, 116, 94, 126, 74, 106)(71, 103, 80, 112, 87, 119, 72, 104)(76, 108, 91, 123, 77, 109, 86, 118)(81, 113, 93, 125, 85, 117, 95, 127)(82, 114, 89, 121, 96, 128, 88, 120)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 85)(6, 83)(7, 65)(8, 70)(9, 69)(10, 93)(11, 94)(12, 66)(13, 90)(14, 92)(15, 89)(16, 67)(17, 86)(18, 71)(19, 88)(20, 95)(21, 91)(22, 75)(23, 78)(24, 72)(25, 80)(26, 84)(27, 73)(28, 96)(29, 76)(30, 81)(31, 77)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.397
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.413 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-2 * Y2^-1 * Y3, (R * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y2^4, (R * Y1)^2, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y1^-1 * Y2^2 * Y1^-3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 18, 50, 12, 44, 21, 53, 13, 45, 5, 37)(3, 35, 11, 43, 4, 36, 15, 47, 6, 38, 17, 49, 19, 51, 14, 46)(8, 40, 20, 52, 9, 41, 23, 55, 10, 42, 24, 56, 16, 48, 22, 54)(25, 57, 31, 63, 26, 58, 32, 64, 27, 59, 29, 61, 28, 60, 30, 62)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 85, 117, 74, 106)(68, 100, 77, 109, 83, 115, 71, 103)(69, 101, 80, 112, 82, 114, 73, 105)(75, 107, 89, 121, 81, 113, 91, 123)(78, 110, 92, 124, 79, 111, 90, 122)(84, 116, 93, 125, 88, 120, 95, 127)(86, 118, 96, 128, 87, 119, 94, 126)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 72)(6, 71)(7, 70)(8, 69)(9, 66)(10, 82)(11, 90)(12, 83)(13, 67)(14, 89)(15, 91)(16, 85)(17, 92)(18, 74)(19, 76)(20, 94)(21, 80)(22, 93)(23, 95)(24, 96)(25, 78)(26, 75)(27, 79)(28, 81)(29, 86)(30, 84)(31, 87)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.395
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.414 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y3 * Y1^2, (R * Y2)^2, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2^2 * Y1^4, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, (Y2^-1 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 18, 50, 12, 44, 21, 53, 15, 47, 5, 37)(3, 35, 11, 43, 19, 51, 17, 49, 6, 38, 14, 46, 4, 36, 13, 45)(8, 40, 20, 52, 16, 48, 24, 56, 10, 42, 23, 55, 9, 41, 22, 54)(25, 57, 31, 63, 28, 60, 30, 62, 27, 59, 29, 61, 26, 58, 32, 64)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 85, 117, 74, 106)(68, 100, 71, 103, 83, 115, 79, 111)(69, 101, 73, 105, 82, 114, 80, 112)(75, 107, 89, 121, 78, 110, 91, 123)(77, 109, 90, 122, 81, 113, 92, 124)(84, 116, 93, 125, 87, 119, 95, 127)(86, 118, 94, 126, 88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 71)(4, 65)(5, 74)(6, 79)(7, 67)(8, 82)(9, 66)(10, 69)(11, 90)(12, 83)(13, 91)(14, 92)(15, 70)(16, 85)(17, 89)(18, 72)(19, 76)(20, 94)(21, 80)(22, 95)(23, 96)(24, 93)(25, 81)(26, 75)(27, 77)(28, 78)(29, 88)(30, 84)(31, 86)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.396
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.415 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C16 : C2) : C2 (small group id <64, 41>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y3^4, (R * Y3)^2, Y2^4, R * Y1 * R * Y2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y3 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y1 * Y3^-1 * Y2 * Y1 * Y2, Y1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, Y2^-2 * Y3^2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 18, 50, 7, 39)(2, 34, 10, 42, 32, 64, 12, 44)(3, 35, 15, 47, 29, 61, 17, 49)(5, 37, 22, 54, 31, 63, 19, 51)(6, 38, 25, 57, 27, 59, 20, 52)(8, 40, 28, 60, 14, 46, 30, 62)(9, 41, 26, 58, 23, 55, 13, 45)(11, 43, 16, 48, 21, 53, 24, 56)(65, 66, 72, 69)(67, 77, 91, 80)(68, 76, 92, 83)(70, 88, 93, 90)(71, 74, 94, 86)(73, 89, 85, 81)(75, 79, 87, 84)(78, 95, 82, 96)(97, 99, 110, 102)(98, 105, 127, 107)(100, 113, 126, 116)(101, 117, 128, 119)(103, 111, 124, 121)(104, 123, 114, 125)(106, 109, 115, 120)(108, 122, 118, 112)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E19.418
Graph:: simple bipartite
	v = 24 e = 64 f = 4
	degree seq :: [ 4^16, 8^8 ]

E19.416 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C16 : C2) : C2 (small group id <64, 41>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1 * Y3^-1, Y1^4, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, Y2 * Y3^-1 * Y2^2 * Y1^-1, Y1 * Y2 * Y1^-1 * Y3 * Y1, Y1 * Y2 * Y3^3, Y1 * Y3^-1 * Y2 * Y3^-2, Y1 * Y3^-2 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 25, 57, 30, 62, 9, 41, 29, 61, 7, 39)(2, 34, 6, 38, 24, 56, 16, 48, 19, 51, 26, 58, 28, 60, 11, 43)(3, 35, 13, 45, 22, 54, 5, 37, 21, 53, 27, 59, 18, 50, 15, 47)(8, 40, 10, 42, 31, 63, 23, 55, 12, 44, 20, 52, 32, 64, 14, 46)(65, 66, 72, 69)(67, 71, 90, 78)(68, 80, 74, 82)(70, 87, 85, 89)(73, 75, 84, 86)(76, 79, 94, 83)(77, 81, 92, 95)(88, 96, 91, 93)(97, 99, 108, 102)(98, 105, 111, 106)(100, 101, 116, 115)(103, 123, 119, 124)(104, 122, 126, 117)(107, 113, 114, 128)(109, 110, 120, 121)(112, 125, 118, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E19.417
Graph:: simple bipartite
	v = 20 e = 64 f = 8
	degree seq :: [ 4^16, 16^4 ]

E19.417 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C16 : C2) : C2 (small group id <64, 41>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y3^4, (R * Y3)^2, Y2^4, R * Y1 * R * Y2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y3 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y1 * Y3^-1 * Y2 * Y1 * Y2, Y1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, Y2^-2 * Y3^2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 18, 50, 82, 114, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 32, 64, 96, 128, 12, 44, 76, 108)(3, 35, 67, 99, 15, 47, 79, 111, 29, 61, 93, 125, 17, 49, 81, 113)(5, 37, 69, 101, 22, 54, 86, 118, 31, 63, 95, 127, 19, 51, 83, 115)(6, 38, 70, 102, 25, 57, 89, 121, 27, 59, 91, 123, 20, 52, 84, 116)(8, 40, 72, 104, 28, 60, 92, 124, 14, 46, 78, 110, 30, 62, 94, 126)(9, 41, 73, 105, 26, 58, 90, 122, 23, 55, 87, 119, 13, 45, 77, 109)(11, 43, 75, 107, 16, 48, 80, 112, 21, 53, 85, 117, 24, 56, 88, 120)
	L = (1, 34)(2, 40)(3, 45)(4, 44)(5, 33)(6, 56)(7, 42)(8, 37)(9, 57)(10, 62)(11, 47)(12, 60)(13, 59)(14, 63)(15, 55)(16, 35)(17, 41)(18, 64)(19, 36)(20, 43)(21, 49)(22, 39)(23, 52)(24, 61)(25, 53)(26, 38)(27, 48)(28, 51)(29, 58)(30, 54)(31, 50)(32, 46)(65, 99)(66, 105)(67, 110)(68, 113)(69, 117)(70, 97)(71, 111)(72, 123)(73, 127)(74, 109)(75, 98)(76, 122)(77, 115)(78, 102)(79, 124)(80, 108)(81, 126)(82, 125)(83, 120)(84, 100)(85, 128)(86, 112)(87, 101)(88, 106)(89, 103)(90, 118)(91, 114)(92, 121)(93, 104)(94, 116)(95, 107)(96, 119)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.416
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 20
	degree seq :: [ 16^8 ]

E19.418 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C16 : C2) : C2 (small group id <64, 41>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1 * Y3^-1, Y1^4, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, Y2 * Y3^-1 * Y2^2 * Y1^-1, Y1 * Y2 * Y1^-1 * Y3 * Y1, Y1 * Y2 * Y3^3, Y1 * Y3^-1 * Y2 * Y3^-2, Y1 * Y3^-2 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 25, 57, 89, 121, 30, 62, 94, 126, 9, 41, 73, 105, 29, 61, 93, 125, 7, 39, 71, 103)(2, 34, 66, 98, 6, 38, 70, 102, 24, 56, 88, 120, 16, 48, 80, 112, 19, 51, 83, 115, 26, 58, 90, 122, 28, 60, 92, 124, 11, 43, 75, 107)(3, 35, 67, 99, 13, 45, 77, 109, 22, 54, 86, 118, 5, 37, 69, 101, 21, 53, 85, 117, 27, 59, 91, 123, 18, 50, 82, 114, 15, 47, 79, 111)(8, 40, 72, 104, 10, 42, 74, 106, 31, 63, 95, 127, 23, 55, 87, 119, 12, 44, 76, 108, 20, 52, 84, 116, 32, 64, 96, 128, 14, 46, 78, 110)
	L = (1, 34)(2, 40)(3, 39)(4, 48)(5, 33)(6, 55)(7, 58)(8, 37)(9, 43)(10, 50)(11, 52)(12, 47)(13, 49)(14, 35)(15, 62)(16, 42)(17, 60)(18, 36)(19, 44)(20, 54)(21, 57)(22, 41)(23, 53)(24, 64)(25, 38)(26, 46)(27, 61)(28, 63)(29, 56)(30, 51)(31, 45)(32, 59)(65, 99)(66, 105)(67, 108)(68, 101)(69, 116)(70, 97)(71, 123)(72, 122)(73, 111)(74, 98)(75, 113)(76, 102)(77, 110)(78, 120)(79, 106)(80, 125)(81, 114)(82, 128)(83, 100)(84, 115)(85, 104)(86, 127)(87, 124)(88, 121)(89, 109)(90, 126)(91, 119)(92, 103)(93, 118)(94, 117)(95, 112)(96, 107)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.415
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 24
	degree seq :: [ 32^4 ]

E19.419 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y3)^2, Y2^4, (R * Y1)^2, Y3^4, R * Y2 * R * Y2^-1, Y1^4, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 27, 59, 15, 47)(4, 36, 17, 49, 28, 60, 20, 52)(6, 38, 9, 41, 29, 61, 21, 53)(7, 39, 25, 57, 30, 62, 26, 58)(10, 42, 24, 56, 22, 54, 14, 46)(12, 44, 18, 50, 23, 55, 16, 48)(13, 45, 31, 63, 19, 51, 32, 64)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 95, 127, 75, 107)(68, 100, 82, 114, 94, 126, 78, 110)(69, 101, 85, 117, 96, 128, 79, 111)(71, 103, 88, 120, 92, 124, 80, 112)(72, 104, 91, 123, 83, 115, 93, 125)(74, 106, 90, 122, 87, 119, 81, 113)(76, 108, 84, 116, 86, 118, 89, 121)
	L = (1, 68)(2, 74)(3, 78)(4, 83)(5, 86)(6, 82)(7, 65)(8, 92)(9, 81)(10, 96)(11, 90)(12, 66)(13, 94)(14, 93)(15, 89)(16, 67)(17, 79)(18, 91)(19, 71)(20, 75)(21, 84)(22, 95)(23, 69)(24, 70)(25, 73)(26, 85)(27, 88)(28, 77)(29, 80)(30, 72)(31, 87)(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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.423
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.420 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y3^4, Y2^4, Y2 * Y1 * Y2 * Y1^-1, Y1^4, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3, Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3, Y2^-1 * Y1 * Y3 * Y1 * Y3, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1^-1 * Y2^2 * Y3^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 27, 59, 15, 47)(4, 36, 17, 49, 28, 60, 20, 52)(6, 38, 9, 41, 29, 61, 21, 53)(7, 39, 25, 57, 30, 62, 26, 58)(10, 42, 16, 48, 22, 54, 18, 50)(12, 44, 14, 46, 23, 55, 24, 56)(13, 45, 31, 63, 19, 51, 32, 64)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 95, 127, 75, 107)(68, 100, 82, 114, 94, 126, 78, 110)(69, 101, 85, 117, 96, 128, 79, 111)(71, 103, 88, 120, 92, 124, 80, 112)(72, 104, 91, 123, 83, 115, 93, 125)(74, 106, 81, 113, 87, 119, 90, 122)(76, 108, 89, 121, 86, 118, 84, 116)
	L = (1, 68)(2, 74)(3, 78)(4, 83)(5, 86)(6, 82)(7, 65)(8, 92)(9, 90)(10, 96)(11, 81)(12, 66)(13, 94)(14, 93)(15, 84)(16, 67)(17, 85)(18, 91)(19, 71)(20, 73)(21, 89)(22, 95)(23, 69)(24, 70)(25, 75)(26, 79)(27, 88)(28, 77)(29, 80)(30, 72)(31, 87)(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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.424
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.421 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y2 * Y3^-1 * Y2 * Y3, (R * Y3)^2, R * Y2 * R * Y2^-1, Y2 * Y1 * Y2 * Y1^-1, Y2^4, (R * Y1)^2, Y1^4, Y2^-1 * Y1 * Y3 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^-1 * Y2^-2 * Y3^-2 * Y1^-1, (Y2 * Y1^2)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 27, 59, 15, 47)(4, 36, 17, 49, 28, 60, 20, 52)(6, 38, 9, 41, 29, 61, 21, 53)(7, 39, 25, 57, 30, 62, 26, 58)(10, 42, 14, 46, 22, 54, 24, 56)(12, 44, 16, 48, 23, 55, 18, 50)(13, 45, 31, 63, 19, 51, 32, 64)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 95, 127, 75, 107)(68, 100, 82, 114, 94, 126, 78, 110)(69, 101, 85, 117, 96, 128, 79, 111)(71, 103, 88, 120, 92, 124, 80, 112)(72, 104, 91, 123, 83, 115, 93, 125)(74, 106, 89, 121, 87, 119, 84, 116)(76, 108, 81, 113, 86, 118, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 83)(5, 86)(6, 82)(7, 65)(8, 92)(9, 84)(10, 96)(11, 89)(12, 66)(13, 94)(14, 93)(15, 90)(16, 67)(17, 75)(18, 91)(19, 71)(20, 79)(21, 81)(22, 95)(23, 69)(24, 70)(25, 85)(26, 73)(27, 88)(28, 77)(29, 80)(30, 72)(31, 87)(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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.426
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.422 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y2^4, Y2 * Y1 * Y2 * Y1^-1, Y1^4, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y1 * Y2^-1 * Y3 * Y1 * Y3^-1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3, Y2^-2 * Y3^2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 27, 59, 15, 47)(4, 36, 17, 49, 28, 60, 20, 52)(6, 38, 9, 41, 29, 61, 21, 53)(7, 39, 25, 57, 30, 62, 26, 58)(10, 42, 18, 50, 22, 54, 16, 48)(12, 44, 24, 56, 23, 55, 14, 46)(13, 45, 31, 63, 19, 51, 32, 64)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 95, 127, 75, 107)(68, 100, 82, 114, 94, 126, 78, 110)(69, 101, 85, 117, 96, 128, 79, 111)(71, 103, 88, 120, 92, 124, 80, 112)(72, 104, 91, 123, 83, 115, 93, 125)(74, 106, 84, 116, 87, 119, 89, 121)(76, 108, 90, 122, 86, 118, 81, 113)
	L = (1, 68)(2, 74)(3, 78)(4, 83)(5, 86)(6, 82)(7, 65)(8, 92)(9, 89)(10, 96)(11, 84)(12, 66)(13, 94)(14, 93)(15, 81)(16, 67)(17, 73)(18, 91)(19, 71)(20, 85)(21, 90)(22, 95)(23, 69)(24, 70)(25, 79)(26, 75)(27, 88)(28, 77)(29, 80)(30, 72)(31, 87)(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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.425
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^2, Y3^4, Y2^4, Y3^-1 * Y2 * Y1^-2, (R * Y3)^2, Y2 * Y3^2 * Y2, (R * Y1)^2, Y2^-1 * Y1^-2 * Y3, Y2^-1 * Y1 * Y3 * Y1^-1, Y1 * Y2^-1 * Y1^3 * Y3, Y3 * R * Y2 * R * Y1^2, Y2 * Y1^-1 * R * Y2 * R * Y1^-1, Y3^-2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 31, 63, 30, 62, 16, 48, 5, 37)(3, 35, 10, 42, 26, 58, 9, 41, 22, 54, 18, 50, 4, 36, 15, 47)(6, 38, 12, 44, 28, 60, 11, 43, 23, 55, 19, 51, 7, 39, 20, 52)(13, 45, 24, 56, 17, 49, 27, 59, 32, 64, 29, 61, 14, 46, 25, 57)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 81, 113, 71, 103, 72, 104)(69, 101, 82, 114, 89, 121, 83, 115)(74, 106, 91, 123, 76, 108, 85, 117)(78, 110, 92, 124, 80, 112, 90, 122)(79, 111, 93, 125, 84, 116, 94, 126)(86, 118, 96, 128, 87, 119, 95, 127)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 73)(6, 80)(7, 65)(8, 86)(9, 89)(10, 88)(11, 69)(12, 66)(13, 71)(14, 70)(15, 91)(16, 67)(17, 87)(18, 93)(19, 94)(20, 85)(21, 79)(22, 81)(23, 72)(24, 76)(25, 75)(26, 96)(27, 84)(28, 95)(29, 83)(30, 82)(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) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.419
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.424 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-2, Y3^2 * Y2^2, Y3^-1 * Y1^-2 * Y2, Y1^-1 * Y2^-1 * Y3 * Y1^-1, (R * Y1)^2, Y3 * Y1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y2 * Y1^-1 * R * Y2 * R * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y1^6, Y2^-1 * R * Y2 * R * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 31, 63, 30, 62, 18, 50, 5, 37)(3, 35, 13, 45, 4, 36, 9, 41, 24, 56, 10, 42, 22, 54, 16, 48)(6, 38, 20, 52, 7, 39, 11, 43, 28, 60, 12, 44, 23, 55, 19, 51)(14, 46, 25, 57, 15, 47, 26, 58, 32, 64, 29, 61, 17, 49, 27, 59)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 89, 121, 75, 107)(68, 100, 81, 113, 71, 103, 82, 114)(69, 101, 74, 106, 91, 123, 76, 108)(72, 104, 86, 118, 79, 111, 87, 119)(77, 109, 90, 122, 84, 116, 85, 117)(80, 112, 93, 125, 83, 115, 94, 126)(88, 120, 96, 128, 92, 124, 95, 127)
	L = (1, 68)(2, 74)(3, 79)(4, 78)(5, 80)(6, 72)(7, 65)(8, 67)(9, 90)(10, 89)(11, 85)(12, 66)(13, 93)(14, 71)(15, 70)(16, 91)(17, 92)(18, 88)(19, 69)(20, 94)(21, 73)(22, 96)(23, 95)(24, 81)(25, 76)(26, 75)(27, 83)(28, 82)(29, 84)(30, 77)(31, 86)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.420
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.425 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^-1 * Y2^-1, Y3^4, Y2^-1 * Y3^-2 * Y2^-1, (R * Y1)^2, Y3^-1 * Y2^2 * Y3^-1, Y2 * Y1^-2 * Y3, (R * Y3)^2, Y1 * Y3 * Y1^-1 * Y2, Y2^-1 * Y3 * Y1 * Y2^2 * Y1, Y2 * Y1^-1 * R * Y2 * R * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 31, 63, 29, 61, 14, 46, 5, 37)(3, 35, 12, 44, 25, 57, 9, 41, 23, 55, 20, 52, 7, 39, 15, 47)(4, 36, 17, 49, 6, 38, 10, 42, 27, 59, 11, 43, 22, 54, 18, 50)(13, 45, 24, 56, 19, 51, 28, 60, 32, 64, 30, 62, 16, 48, 26, 58)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 72, 104, 71, 103, 83, 115)(69, 101, 84, 116, 90, 122, 82, 114)(74, 106, 85, 117, 76, 108, 92, 124)(78, 110, 89, 121, 80, 112, 91, 123)(79, 111, 94, 126, 81, 113, 93, 125)(86, 118, 95, 127, 87, 119, 96, 128)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 75)(6, 80)(7, 65)(8, 86)(9, 69)(10, 88)(11, 90)(12, 66)(13, 71)(14, 70)(15, 85)(16, 67)(17, 92)(18, 94)(19, 87)(20, 93)(21, 81)(22, 83)(23, 72)(24, 76)(25, 95)(26, 73)(27, 96)(28, 79)(29, 82)(30, 84)(31, 91)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.422
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.426 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y1^-2, Y3^-2 * Y2^2, (R * Y3)^2, Y2^4, Y1 * Y2 * Y1^-1 * Y3, (R * Y1)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-2 * Y3^-2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 31, 63, 29, 61, 17, 49, 5, 37)(3, 35, 13, 45, 7, 39, 9, 41, 24, 56, 12, 44, 22, 54, 15, 47)(4, 36, 11, 43, 27, 59, 10, 42, 23, 55, 20, 52, 6, 38, 18, 50)(14, 46, 25, 57, 16, 48, 26, 58, 32, 64, 30, 62, 19, 51, 28, 60)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 89, 121, 75, 107)(68, 100, 81, 113, 71, 103, 83, 115)(69, 101, 76, 108, 92, 124, 74, 106)(72, 104, 86, 118, 80, 112, 87, 119)(77, 109, 90, 122, 82, 114, 85, 117)(79, 111, 94, 126, 84, 116, 93, 125)(88, 120, 96, 128, 91, 123, 95, 127)
	L = (1, 68)(2, 74)(3, 72)(4, 78)(5, 84)(6, 80)(7, 65)(8, 70)(9, 85)(10, 89)(11, 90)(12, 66)(13, 93)(14, 71)(15, 69)(16, 67)(17, 91)(18, 94)(19, 88)(20, 92)(21, 75)(22, 95)(23, 96)(24, 81)(25, 76)(26, 73)(27, 83)(28, 79)(29, 82)(30, 77)(31, 87)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.421
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.427 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C16 x C2) : C2 (small group id <64, 38>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^2, Y2^4, Y1^2 * Y2^-2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1^-1, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, Y3^4, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 7, 39)(2, 34, 10, 42, 25, 57, 12, 44)(3, 35, 14, 46, 28, 60, 16, 48)(5, 37, 20, 52, 30, 62, 18, 50)(6, 38, 21, 53, 31, 63, 19, 51)(8, 40, 22, 54, 32, 64, 23, 55)(9, 41, 13, 45, 27, 59, 24, 56)(11, 43, 15, 47, 29, 61, 26, 58)(65, 66, 72, 69)(67, 77, 70, 79)(68, 76, 86, 82)(71, 74, 87, 84)(73, 85, 75, 78)(80, 91, 83, 93)(81, 89, 96, 94)(88, 95, 90, 92)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 118, 115)(103, 110, 119, 117)(106, 120, 116, 122)(108, 109, 114, 111)(113, 124, 128, 127)(121, 123, 126, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E19.433
Graph:: simple bipartite
	v = 24 e = 64 f = 4
	degree seq :: [ 4^16, 8^8 ]

E19.428 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C16 x C2) : C2 (small group id <64, 38>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^2, Y2^4, Y1^4, Y1^2 * Y2^-2, Y1 * Y3 * Y1^-1 * Y3, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1, Y1 * Y2 * Y1 * Y3 * Y2^-1, Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 7, 39)(2, 34, 10, 42, 25, 57, 12, 44)(3, 35, 14, 46, 28, 60, 16, 48)(5, 37, 20, 52, 30, 62, 18, 50)(6, 38, 21, 53, 31, 63, 19, 51)(8, 40, 22, 54, 32, 64, 23, 55)(9, 41, 24, 56, 29, 61, 15, 47)(11, 43, 26, 58, 27, 59, 13, 45)(65, 66, 72, 69)(67, 77, 70, 79)(68, 76, 86, 82)(71, 74, 87, 84)(73, 80, 75, 83)(78, 91, 85, 93)(81, 89, 96, 94)(88, 92, 90, 95)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 118, 115)(103, 110, 119, 117)(106, 111, 116, 109)(108, 120, 114, 122)(113, 124, 128, 127)(121, 125, 126, 123)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E19.434
Graph:: simple bipartite
	v = 24 e = 64 f = 4
	degree seq :: [ 4^16, 8^8 ]

E19.429 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C16 x C2) : C2 (small group id <64, 38>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1, Y1 * Y2 * Y3^-1, Y1^4, Y2^2 * Y1^-2, (R * Y3)^2, R * Y2 * R * Y1, Y3^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 21, 53, 29, 61, 24, 56, 16, 48, 7, 39)(2, 34, 6, 38, 15, 47, 23, 55, 31, 63, 26, 58, 18, 50, 10, 42)(3, 35, 11, 43, 19, 51, 27, 59, 30, 62, 22, 54, 14, 46, 5, 37)(8, 40, 9, 41, 17, 49, 25, 57, 32, 64, 28, 60, 20, 52, 12, 44)(65, 66, 72, 69)(67, 71, 70, 76)(68, 74, 73, 78)(75, 80, 79, 84)(77, 82, 81, 86)(83, 88, 87, 92)(85, 90, 89, 94)(91, 93, 95, 96)(97, 99, 104, 102)(98, 100, 101, 105)(103, 107, 108, 111)(106, 109, 110, 113)(112, 115, 116, 119)(114, 117, 118, 121)(120, 123, 124, 127)(122, 125, 126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E19.431
Graph:: simple bipartite
	v = 20 e = 64 f = 8
	degree seq :: [ 4^16, 16^4 ]

E19.430 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C16 x C2) : C2 (small group id <64, 38>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2, Y3 * Y2^-1 * Y1, Y1^4, Y2^4, (R * Y3)^2, Y2 * Y1^2 * Y2, R * Y2 * R * Y1, Y3^8, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 21, 53, 29, 61, 24, 56, 16, 48, 7, 39)(2, 34, 3, 35, 12, 44, 20, 52, 28, 60, 26, 58, 18, 50, 10, 42)(5, 37, 6, 38, 15, 47, 23, 55, 31, 63, 30, 62, 22, 54, 14, 46)(8, 40, 9, 41, 17, 49, 25, 57, 32, 64, 27, 59, 19, 51, 11, 43)(65, 66, 72, 69)(67, 75, 70, 71)(68, 74, 73, 78)(76, 83, 79, 80)(77, 82, 81, 86)(84, 91, 87, 88)(85, 90, 89, 94)(92, 96, 95, 93)(97, 99, 104, 102)(98, 105, 101, 100)(103, 108, 107, 111)(106, 113, 110, 109)(112, 116, 115, 119)(114, 121, 118, 117)(120, 124, 123, 127)(122, 128, 126, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E19.432
Graph:: simple bipartite
	v = 20 e = 64 f = 8
	degree seq :: [ 4^16, 16^4 ]

E19.431 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C16 x C2) : C2 (small group id <64, 38>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^2, Y2^4, Y1^2 * Y2^-2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1^-1, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, Y3^4, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 25, 57, 89, 121, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 28, 60, 92, 124, 16, 48, 80, 112)(5, 37, 69, 101, 20, 52, 84, 116, 30, 62, 94, 126, 18, 50, 82, 114)(6, 38, 70, 102, 21, 53, 85, 117, 31, 63, 95, 127, 19, 51, 83, 115)(8, 40, 72, 104, 22, 54, 86, 118, 32, 64, 96, 128, 23, 55, 87, 119)(9, 41, 73, 105, 13, 45, 77, 109, 27, 59, 91, 123, 24, 56, 88, 120)(11, 43, 75, 107, 15, 47, 79, 111, 29, 61, 93, 125, 26, 58, 90, 122)
	L = (1, 34)(2, 40)(3, 45)(4, 44)(5, 33)(6, 47)(7, 42)(8, 37)(9, 53)(10, 55)(11, 46)(12, 54)(13, 38)(14, 41)(15, 35)(16, 59)(17, 57)(18, 36)(19, 61)(20, 39)(21, 43)(22, 50)(23, 52)(24, 63)(25, 64)(26, 60)(27, 51)(28, 56)(29, 48)(30, 49)(31, 58)(32, 62)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 110)(72, 102)(73, 101)(74, 120)(75, 98)(76, 109)(77, 114)(78, 119)(79, 108)(80, 118)(81, 124)(82, 111)(83, 100)(84, 122)(85, 103)(86, 115)(87, 117)(88, 116)(89, 123)(90, 106)(91, 126)(92, 128)(93, 121)(94, 125)(95, 113)(96, 127)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.429
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 20
	degree seq :: [ 16^8 ]

E19.432 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C16 x C2) : C2 (small group id <64, 38>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^2, Y2^4, Y1^4, Y1^2 * Y2^-2, Y1 * Y3 * Y1^-1 * Y3, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1, Y1 * Y2 * Y1 * Y3 * Y2^-1, Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 25, 57, 89, 121, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 28, 60, 92, 124, 16, 48, 80, 112)(5, 37, 69, 101, 20, 52, 84, 116, 30, 62, 94, 126, 18, 50, 82, 114)(6, 38, 70, 102, 21, 53, 85, 117, 31, 63, 95, 127, 19, 51, 83, 115)(8, 40, 72, 104, 22, 54, 86, 118, 32, 64, 96, 128, 23, 55, 87, 119)(9, 41, 73, 105, 24, 56, 88, 120, 29, 61, 93, 125, 15, 47, 79, 111)(11, 43, 75, 107, 26, 58, 90, 122, 27, 59, 91, 123, 13, 45, 77, 109)
	L = (1, 34)(2, 40)(3, 45)(4, 44)(5, 33)(6, 47)(7, 42)(8, 37)(9, 48)(10, 55)(11, 51)(12, 54)(13, 38)(14, 59)(15, 35)(16, 43)(17, 57)(18, 36)(19, 41)(20, 39)(21, 61)(22, 50)(23, 52)(24, 60)(25, 64)(26, 63)(27, 53)(28, 58)(29, 46)(30, 49)(31, 56)(32, 62)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 110)(72, 102)(73, 101)(74, 111)(75, 98)(76, 120)(77, 106)(78, 119)(79, 116)(80, 118)(81, 124)(82, 122)(83, 100)(84, 109)(85, 103)(86, 115)(87, 117)(88, 114)(89, 125)(90, 108)(91, 121)(92, 128)(93, 126)(94, 123)(95, 113)(96, 127)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.430
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 20
	degree seq :: [ 16^8 ]

E19.433 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C16 x C2) : C2 (small group id <64, 38>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1, Y1 * Y2 * Y3^-1, Y1^4, Y2^2 * Y1^-2, (R * Y3)^2, R * Y2 * R * Y1, Y3^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 21, 53, 85, 117, 29, 61, 93, 125, 24, 56, 88, 120, 16, 48, 80, 112, 7, 39, 71, 103)(2, 34, 66, 98, 6, 38, 70, 102, 15, 47, 79, 111, 23, 55, 87, 119, 31, 63, 95, 127, 26, 58, 90, 122, 18, 50, 82, 114, 10, 42, 74, 106)(3, 35, 67, 99, 11, 43, 75, 107, 19, 51, 83, 115, 27, 59, 91, 123, 30, 62, 94, 126, 22, 54, 86, 118, 14, 46, 78, 110, 5, 37, 69, 101)(8, 40, 72, 104, 9, 41, 73, 105, 17, 49, 81, 113, 25, 57, 89, 121, 32, 64, 96, 128, 28, 60, 92, 124, 20, 52, 84, 116, 12, 44, 76, 108)
	L = (1, 34)(2, 40)(3, 39)(4, 42)(5, 33)(6, 44)(7, 38)(8, 37)(9, 46)(10, 41)(11, 48)(12, 35)(13, 50)(14, 36)(15, 52)(16, 47)(17, 54)(18, 49)(19, 56)(20, 43)(21, 58)(22, 45)(23, 60)(24, 55)(25, 62)(26, 57)(27, 61)(28, 51)(29, 63)(30, 53)(31, 64)(32, 59)(65, 99)(66, 100)(67, 104)(68, 101)(69, 105)(70, 97)(71, 107)(72, 102)(73, 98)(74, 109)(75, 108)(76, 111)(77, 110)(78, 113)(79, 103)(80, 115)(81, 106)(82, 117)(83, 116)(84, 119)(85, 118)(86, 121)(87, 112)(88, 123)(89, 114)(90, 125)(91, 124)(92, 127)(93, 126)(94, 128)(95, 120)(96, 122)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.427
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 24
	degree seq :: [ 32^4 ]

E19.434 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C16 x C2) : C2 (small group id <64, 38>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2, Y3 * Y2^-1 * Y1, Y1^4, Y2^4, (R * Y3)^2, Y2 * Y1^2 * Y2, R * Y2 * R * Y1, Y3^8, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 21, 53, 85, 117, 29, 61, 93, 125, 24, 56, 88, 120, 16, 48, 80, 112, 7, 39, 71, 103)(2, 34, 66, 98, 3, 35, 67, 99, 12, 44, 76, 108, 20, 52, 84, 116, 28, 60, 92, 124, 26, 58, 90, 122, 18, 50, 82, 114, 10, 42, 74, 106)(5, 37, 69, 101, 6, 38, 70, 102, 15, 47, 79, 111, 23, 55, 87, 119, 31, 63, 95, 127, 30, 62, 94, 126, 22, 54, 86, 118, 14, 46, 78, 110)(8, 40, 72, 104, 9, 41, 73, 105, 17, 49, 81, 113, 25, 57, 89, 121, 32, 64, 96, 128, 27, 59, 91, 123, 19, 51, 83, 115, 11, 43, 75, 107)
	L = (1, 34)(2, 40)(3, 43)(4, 42)(5, 33)(6, 39)(7, 35)(8, 37)(9, 46)(10, 41)(11, 38)(12, 51)(13, 50)(14, 36)(15, 48)(16, 44)(17, 54)(18, 49)(19, 47)(20, 59)(21, 58)(22, 45)(23, 56)(24, 52)(25, 62)(26, 57)(27, 55)(28, 64)(29, 60)(30, 53)(31, 61)(32, 63)(65, 99)(66, 105)(67, 104)(68, 98)(69, 100)(70, 97)(71, 108)(72, 102)(73, 101)(74, 113)(75, 111)(76, 107)(77, 106)(78, 109)(79, 103)(80, 116)(81, 110)(82, 121)(83, 119)(84, 115)(85, 114)(86, 117)(87, 112)(88, 124)(89, 118)(90, 128)(91, 127)(92, 123)(93, 122)(94, 125)(95, 120)(96, 126)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.428
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 24
	degree seq :: [ 32^4 ]

E19.435 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (R * Y3)^2, Y3^2 * Y1^2, Y2 * Y3 * Y2 * Y3^-1, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y3 * Y1^-2 * Y3, R * Y2 * R * Y2^-1, Y2^4, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 22, 54, 15, 47)(4, 36, 17, 49, 7, 39, 19, 51)(6, 38, 9, 41, 23, 55, 20, 52)(10, 42, 21, 53, 12, 44, 18, 50)(13, 45, 24, 56, 32, 64, 28, 60)(14, 46, 30, 62, 16, 48, 31, 63)(25, 57, 29, 61, 26, 58, 27, 59)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 82, 114, 91, 123, 78, 110)(69, 101, 84, 116, 92, 124, 79, 111)(71, 103, 85, 117, 93, 125, 80, 112)(72, 104, 86, 118, 96, 128, 87, 119)(74, 106, 81, 113, 94, 126, 89, 121)(76, 108, 83, 115, 95, 127, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 89)(10, 69)(11, 81)(12, 66)(13, 91)(14, 86)(15, 83)(16, 67)(17, 79)(18, 87)(19, 75)(20, 90)(21, 70)(22, 80)(23, 85)(24, 94)(25, 84)(26, 73)(27, 96)(28, 95)(29, 77)(30, 92)(31, 88)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.440
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.436 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y1^4, R * Y2 * R * Y2^-1, Y3^2 * Y1^2, Y3 * Y1^-2 * Y3, Y1 * Y2 * Y1^-1 * Y2, (R * Y3)^2, Y2^4, (R * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 22, 54, 15, 47)(4, 36, 17, 49, 7, 39, 19, 51)(6, 38, 9, 41, 23, 55, 20, 52)(10, 42, 16, 48, 12, 44, 14, 46)(13, 45, 24, 56, 32, 64, 28, 60)(18, 50, 30, 62, 21, 53, 31, 63)(25, 57, 29, 61, 26, 58, 27, 59)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 82, 114, 91, 123, 78, 110)(69, 101, 84, 116, 92, 124, 79, 111)(71, 103, 85, 117, 93, 125, 80, 112)(72, 104, 86, 118, 96, 128, 87, 119)(74, 106, 89, 121, 94, 126, 81, 113)(76, 108, 90, 122, 95, 127, 83, 115)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 81)(10, 69)(11, 89)(12, 66)(13, 91)(14, 86)(15, 90)(16, 67)(17, 84)(18, 87)(19, 73)(20, 83)(21, 70)(22, 80)(23, 85)(24, 94)(25, 79)(26, 75)(27, 96)(28, 95)(29, 77)(30, 92)(31, 88)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.439
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.437 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, Y3^-1 * Y1^-2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y3^4, R * Y2 * R * Y2^-1, Y1 * Y2 * Y1^-1 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y2^4, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y3^-2 * Y2^-1 * Y3^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 22, 54, 15, 47)(4, 36, 17, 49, 7, 39, 19, 51)(6, 38, 9, 41, 23, 55, 20, 52)(10, 42, 14, 46, 12, 44, 16, 48)(13, 45, 24, 56, 32, 64, 28, 60)(18, 50, 30, 62, 21, 53, 31, 63)(25, 57, 27, 59, 26, 58, 29, 61)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 82, 114, 91, 123, 78, 110)(69, 101, 84, 116, 92, 124, 79, 111)(71, 103, 85, 117, 93, 125, 80, 112)(72, 104, 86, 118, 96, 128, 87, 119)(74, 106, 89, 121, 95, 127, 83, 115)(76, 108, 90, 122, 94, 126, 81, 113)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 83)(10, 69)(11, 89)(12, 66)(13, 91)(14, 86)(15, 90)(16, 67)(17, 73)(18, 87)(19, 84)(20, 81)(21, 70)(22, 80)(23, 85)(24, 95)(25, 79)(26, 75)(27, 96)(28, 94)(29, 77)(30, 88)(31, 92)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.441
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.438 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y3^4, Y2^4, (R * Y1)^2, Y2 * Y3 * Y2 * Y3^-1, Y3 * Y1^2 * Y3, R * Y2 * R * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y1, Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 22, 54, 15, 47)(4, 36, 17, 49, 7, 39, 19, 51)(6, 38, 9, 41, 23, 55, 20, 52)(10, 42, 18, 50, 12, 44, 21, 53)(13, 45, 24, 56, 32, 64, 28, 60)(14, 46, 30, 62, 16, 48, 31, 63)(25, 57, 27, 59, 26, 58, 29, 61)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 82, 114, 91, 123, 78, 110)(69, 101, 84, 116, 92, 124, 79, 111)(71, 103, 85, 117, 93, 125, 80, 112)(72, 104, 86, 118, 96, 128, 87, 119)(74, 106, 83, 115, 95, 127, 89, 121)(76, 108, 81, 113, 94, 126, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 89)(10, 69)(11, 83)(12, 66)(13, 91)(14, 86)(15, 81)(16, 67)(17, 75)(18, 87)(19, 79)(20, 90)(21, 70)(22, 80)(23, 85)(24, 95)(25, 84)(26, 73)(27, 96)(28, 94)(29, 77)(30, 88)(31, 92)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.442
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.439 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2 * Y2^-1, Y3^2 * Y2^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y3^4, Y3 * Y1^-1 * Y2^-1 * Y1, Y1^-1 * Y2 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 29, 61, 27, 59, 17, 49, 5, 37)(3, 35, 10, 42, 4, 36, 15, 47, 25, 57, 30, 62, 20, 52, 9, 41)(6, 38, 12, 44, 7, 39, 18, 50, 28, 60, 31, 63, 21, 53, 11, 43)(13, 45, 22, 54, 14, 46, 23, 55, 32, 64, 26, 58, 16, 48, 24, 56)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 86, 118, 75, 107)(68, 100, 80, 112, 71, 103, 81, 113)(69, 101, 74, 106, 88, 120, 76, 108)(72, 104, 84, 116, 78, 110, 85, 117)(79, 111, 90, 122, 82, 114, 91, 123)(83, 115, 94, 126, 87, 119, 95, 127)(89, 121, 96, 128, 92, 124, 93, 125)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 79)(6, 72)(7, 65)(8, 67)(9, 87)(10, 86)(11, 83)(12, 66)(13, 71)(14, 70)(15, 88)(16, 92)(17, 89)(18, 69)(19, 73)(20, 96)(21, 93)(22, 76)(23, 75)(24, 82)(25, 80)(26, 95)(27, 94)(28, 81)(29, 84)(30, 90)(31, 91)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.436
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.440 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-2 * Y2^-1, Y3^-2 * Y2^2, Y1^-2 * Y3^-1 * Y2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^-1 * Y2 * Y1^6 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 29, 61, 27, 59, 16, 48, 5, 37)(3, 35, 13, 45, 25, 57, 30, 62, 20, 52, 10, 42, 4, 36, 9, 41)(6, 38, 18, 50, 28, 60, 31, 63, 21, 53, 12, 44, 7, 39, 11, 43)(14, 46, 22, 54, 17, 49, 24, 56, 32, 64, 26, 58, 15, 47, 23, 55)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 86, 118, 75, 107)(68, 100, 81, 113, 71, 103, 72, 104)(69, 101, 77, 109, 87, 119, 82, 114)(74, 106, 88, 120, 76, 108, 83, 115)(79, 111, 92, 124, 80, 112, 89, 121)(84, 116, 96, 128, 85, 117, 93, 125)(90, 122, 95, 127, 91, 123, 94, 126)
	L = (1, 68)(2, 74)(3, 79)(4, 78)(5, 73)(6, 80)(7, 65)(8, 84)(9, 87)(10, 86)(11, 69)(12, 66)(13, 90)(14, 71)(15, 70)(16, 67)(17, 85)(18, 91)(19, 94)(20, 81)(21, 72)(22, 76)(23, 75)(24, 95)(25, 96)(26, 82)(27, 77)(28, 93)(29, 89)(30, 88)(31, 83)(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) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.435
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.441 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-2 * Y2^-1, Y3^-2 * Y2^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y1)^2, Y1^-1 * Y2 * Y3 * Y1^-1, Y3^4, Y3^-2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1^6, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 29, 61, 26, 58, 16, 48, 5, 37)(3, 35, 12, 44, 7, 39, 18, 50, 28, 60, 30, 62, 20, 52, 9, 41)(4, 36, 15, 47, 25, 57, 31, 63, 21, 53, 11, 43, 6, 38, 10, 42)(13, 45, 22, 54, 14, 46, 23, 55, 32, 64, 27, 59, 17, 49, 24, 56)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 86, 118, 75, 107)(68, 100, 80, 112, 71, 103, 81, 113)(69, 101, 76, 108, 88, 120, 74, 106)(72, 104, 84, 116, 78, 110, 85, 117)(79, 111, 90, 122, 82, 114, 91, 123)(83, 115, 94, 126, 87, 119, 95, 127)(89, 121, 93, 125, 92, 124, 96, 128)
	L = (1, 68)(2, 74)(3, 72)(4, 77)(5, 79)(6, 78)(7, 65)(8, 70)(9, 83)(10, 86)(11, 87)(12, 66)(13, 71)(14, 67)(15, 88)(16, 89)(17, 92)(18, 69)(19, 75)(20, 93)(21, 96)(22, 76)(23, 73)(24, 82)(25, 81)(26, 95)(27, 94)(28, 80)(29, 85)(30, 90)(31, 91)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.437
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.442 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-2 * Y2^-1, Y3^-2 * Y2^2, Y1^-2 * Y3 * Y2, Y2^-1 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y2^-1 * Y1^-2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y3^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2 * Y1^6 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 29, 61, 26, 58, 15, 47, 5, 37)(3, 35, 13, 45, 25, 57, 31, 63, 21, 53, 12, 44, 7, 39, 9, 41)(4, 36, 11, 43, 6, 38, 18, 50, 28, 60, 30, 62, 20, 52, 10, 42)(14, 46, 22, 54, 17, 49, 24, 56, 32, 64, 27, 59, 16, 48, 23, 55)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 86, 118, 75, 107)(68, 100, 72, 104, 71, 103, 81, 113)(69, 101, 77, 109, 87, 119, 82, 114)(74, 106, 83, 115, 76, 108, 88, 120)(79, 111, 89, 121, 80, 112, 92, 124)(84, 116, 93, 125, 85, 117, 96, 128)(90, 122, 95, 127, 91, 123, 94, 126)
	L = (1, 68)(2, 74)(3, 79)(4, 78)(5, 75)(6, 80)(7, 65)(8, 84)(9, 69)(10, 86)(11, 87)(12, 66)(13, 90)(14, 71)(15, 70)(16, 67)(17, 85)(18, 91)(19, 94)(20, 81)(21, 72)(22, 76)(23, 73)(24, 95)(25, 93)(26, 82)(27, 77)(28, 96)(29, 92)(30, 88)(31, 83)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.438
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.443 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C2 x Q16 (small group id <32, 41>)
Aut   = C2 x ((C8 x C2) : C2) (small group id <64, 253>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y3^2 * Y1^2, Y1^-1 * Y2^-2 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-2 * Y2^-2, Y3^-2 * Y2^2, Y3 * Y2 * Y3 * Y2^-1, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y2^-1, Y1^-1 * Y3^2 * Y1^-1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 6, 38, 9, 41)(4, 36, 15, 47, 7, 39, 16, 48)(10, 42, 19, 51, 12, 44, 20, 52)(13, 45, 21, 53, 14, 46, 22, 54)(17, 49, 25, 57, 18, 50, 26, 58)(23, 55, 28, 60, 24, 56, 27, 59)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 78, 110, 71, 103, 77, 109)(74, 106, 82, 114, 76, 108, 81, 113)(79, 111, 85, 117, 80, 112, 86, 118)(83, 115, 89, 121, 84, 116, 90, 122)(87, 119, 94, 126, 88, 120, 93, 125)(91, 123, 96, 128, 92, 124, 95, 127)
	L = (1, 68)(2, 74)(3, 77)(4, 72)(5, 76)(6, 78)(7, 65)(8, 71)(9, 81)(10, 69)(11, 82)(12, 66)(13, 70)(14, 67)(15, 87)(16, 88)(17, 75)(18, 73)(19, 91)(20, 92)(21, 93)(22, 94)(23, 80)(24, 79)(25, 95)(26, 96)(27, 84)(28, 83)(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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.444
Graph:: bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.444 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = C2 x Q16 (small group id <32, 41>)
Aut   = C2 x ((C8 x C2) : C2) (small group id <64, 253>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y2^4, Y3^-2 * Y2^2, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y3^-2 * Y2^-2, Y2 * Y1 * Y2^-1 * Y1, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 14, 46, 26, 58, 18, 50, 5, 37)(3, 35, 13, 45, 24, 56, 11, 43, 6, 38, 19, 51, 22, 54, 9, 41)(4, 36, 17, 49, 25, 57, 12, 44, 7, 39, 20, 52, 23, 55, 10, 42)(15, 47, 27, 59, 31, 63, 30, 62, 16, 48, 28, 60, 32, 64, 29, 61)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 90, 122, 75, 107)(68, 100, 80, 112, 71, 103, 79, 111)(69, 101, 77, 109, 85, 117, 83, 115)(72, 104, 86, 118, 82, 114, 88, 120)(74, 106, 92, 124, 76, 108, 91, 123)(81, 113, 94, 126, 84, 116, 93, 125)(87, 119, 96, 128, 89, 121, 95, 127)
	L = (1, 68)(2, 74)(3, 79)(4, 78)(5, 81)(6, 80)(7, 65)(8, 87)(9, 91)(10, 90)(11, 92)(12, 66)(13, 93)(14, 71)(15, 70)(16, 67)(17, 85)(18, 89)(19, 94)(20, 69)(21, 84)(22, 95)(23, 82)(24, 96)(25, 72)(26, 76)(27, 75)(28, 73)(29, 83)(30, 77)(31, 88)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.443
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.445 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 256>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y3 * Y2^-1, Y3^-1 * Y1^-2 * Y3^-1, Y3^-2 * Y1^2, Y2^-1 * Y3^2 * Y2^-1, Y2^-2 * Y1^-2, (Y1 * Y2)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, R * Y2 * R * Y2^-1, (Y2 * Y1^-1)^2, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 6, 38, 11, 43)(4, 36, 15, 47, 7, 39, 16, 48)(10, 42, 19, 51, 12, 44, 20, 52)(13, 45, 21, 53, 14, 46, 22, 54)(17, 49, 25, 57, 18, 50, 26, 58)(23, 55, 28, 60, 24, 56, 27, 59)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 78, 110, 71, 103, 77, 109)(74, 106, 82, 114, 76, 108, 81, 113)(79, 111, 86, 118, 80, 112, 85, 117)(83, 115, 90, 122, 84, 116, 89, 121)(87, 119, 93, 125, 88, 120, 94, 126)(91, 123, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 74)(3, 77)(4, 72)(5, 76)(6, 78)(7, 65)(8, 71)(9, 81)(10, 69)(11, 82)(12, 66)(13, 70)(14, 67)(15, 87)(16, 88)(17, 75)(18, 73)(19, 91)(20, 92)(21, 93)(22, 94)(23, 80)(24, 79)(25, 95)(26, 96)(27, 84)(28, 83)(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) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.449
Graph:: bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.446 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, Y2^2 * Y1^-2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 8, 40, 6, 38, 10, 42)(4, 36, 12, 44, 16, 48, 13, 45)(9, 41, 18, 50, 15, 47, 19, 51)(11, 43, 21, 53, 14, 46, 22, 54)(17, 49, 25, 57, 20, 52, 26, 58)(23, 55, 28, 60, 24, 56, 27, 59)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 71, 103, 70, 102)(66, 98, 72, 104, 69, 101, 74, 106)(68, 100, 75, 107, 80, 112, 78, 110)(73, 105, 81, 113, 79, 111, 84, 116)(76, 108, 85, 117, 77, 109, 86, 118)(82, 114, 89, 121, 83, 115, 90, 122)(87, 119, 93, 125, 88, 120, 94, 126)(91, 123, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 65)(5, 79)(6, 78)(7, 80)(8, 81)(9, 66)(10, 84)(11, 67)(12, 87)(13, 88)(14, 70)(15, 69)(16, 71)(17, 72)(18, 91)(19, 92)(20, 74)(21, 93)(22, 94)(23, 76)(24, 77)(25, 95)(26, 96)(27, 82)(28, 83)(29, 85)(30, 86)(31, 89)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.450
Graph:: bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.447 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x QD16) : C2 (small group id <64, 258>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1 * Y2^2 * Y1, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1^4, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 6, 38, 8, 40)(4, 36, 12, 44, 16, 48, 13, 45)(9, 41, 18, 50, 15, 47, 19, 51)(11, 43, 21, 53, 14, 46, 22, 54)(17, 49, 25, 57, 20, 52, 26, 58)(23, 55, 28, 60, 24, 56, 27, 59)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 71, 103, 70, 102)(66, 98, 72, 104, 69, 101, 74, 106)(68, 100, 75, 107, 80, 112, 78, 110)(73, 105, 81, 113, 79, 111, 84, 116)(76, 108, 86, 118, 77, 109, 85, 117)(82, 114, 90, 122, 83, 115, 89, 121)(87, 119, 94, 126, 88, 120, 93, 125)(91, 123, 96, 128, 92, 124, 95, 127)
	L = (1, 68)(2, 73)(3, 75)(4, 65)(5, 79)(6, 78)(7, 80)(8, 81)(9, 66)(10, 84)(11, 67)(12, 87)(13, 88)(14, 70)(15, 69)(16, 71)(17, 72)(18, 91)(19, 92)(20, 74)(21, 93)(22, 94)(23, 76)(24, 77)(25, 95)(26, 96)(27, 82)(28, 83)(29, 85)(30, 86)(31, 89)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.452
Graph:: bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.448 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x QD16) : C2 (small group id <64, 258>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2 * Y3^-1, Y1^4, Y1 * Y2^2 * Y1, Y3^-1 * Y2^-2 * Y3^-1, Y2 * Y3 * Y2^-1 * Y3, (R * Y1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2^-2 * Y1, (R * Y3)^2, Y2^4, R * Y2 * R * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y3^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 6, 38, 15, 47)(4, 36, 17, 49, 7, 39, 18, 50)(9, 41, 19, 51, 11, 43, 21, 53)(10, 42, 23, 55, 12, 44, 24, 56)(14, 46, 20, 52, 16, 48, 22, 54)(25, 57, 31, 63, 27, 59, 29, 61)(26, 58, 32, 64, 28, 60, 30, 62)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 80, 112, 71, 103, 78, 110)(74, 106, 86, 118, 76, 108, 84, 116)(77, 109, 89, 121, 79, 111, 91, 123)(81, 113, 92, 124, 82, 114, 90, 122)(83, 115, 93, 125, 85, 117, 95, 127)(87, 119, 96, 128, 88, 120, 94, 126)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 80)(7, 65)(8, 71)(9, 84)(10, 69)(11, 86)(12, 66)(13, 90)(14, 70)(15, 92)(16, 67)(17, 89)(18, 91)(19, 94)(20, 75)(21, 96)(22, 73)(23, 93)(24, 95)(25, 82)(26, 79)(27, 81)(28, 77)(29, 88)(30, 85)(31, 87)(32, 83)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.451
Graph:: bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.449 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 256>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-2 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y3^4, Y1^-1 * Y3 * Y1^-1 * Y3^-1, (Y1 * Y2^-1)^2, Y2^4, (Y1^-1 * Y2^-1)^2, Y2^-2 * Y1^-4, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 14, 46, 26, 58, 19, 51, 5, 37)(3, 35, 13, 45, 24, 56, 9, 41, 6, 38, 18, 50, 22, 54, 11, 43)(4, 36, 17, 49, 25, 57, 12, 44, 7, 39, 20, 52, 23, 55, 10, 42)(15, 47, 28, 60, 31, 63, 30, 62, 16, 48, 27, 59, 32, 64, 29, 61)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 90, 122, 75, 107)(68, 100, 80, 112, 71, 103, 79, 111)(69, 101, 82, 114, 85, 117, 77, 109)(72, 104, 86, 118, 83, 115, 88, 120)(74, 106, 92, 124, 76, 108, 91, 123)(81, 113, 93, 125, 84, 116, 94, 126)(87, 119, 96, 128, 89, 121, 95, 127)
	L = (1, 68)(2, 74)(3, 79)(4, 78)(5, 81)(6, 80)(7, 65)(8, 87)(9, 91)(10, 90)(11, 92)(12, 66)(13, 93)(14, 71)(15, 70)(16, 67)(17, 85)(18, 94)(19, 89)(20, 69)(21, 84)(22, 95)(23, 83)(24, 96)(25, 72)(26, 76)(27, 75)(28, 73)(29, 82)(30, 77)(31, 88)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.445
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.450 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y3 * Y2^2 * Y1^-1 * Y3 * Y1^-1, Y2^2 * Y1^-4, Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y2^-2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 20, 52, 12, 44, 24, 56, 19, 51, 5, 37)(3, 35, 11, 43, 23, 55, 8, 40, 6, 38, 17, 49, 21, 53, 10, 42)(4, 36, 14, 46, 27, 59, 9, 41, 26, 58, 18, 50, 22, 54, 15, 47)(13, 45, 25, 57, 31, 63, 29, 61, 16, 48, 28, 60, 32, 64, 30, 62)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 88, 120, 74, 106)(68, 100, 77, 109, 90, 122, 80, 112)(69, 101, 81, 113, 84, 116, 75, 107)(71, 103, 85, 117, 83, 115, 87, 119)(73, 105, 89, 121, 79, 111, 92, 124)(78, 110, 93, 125, 82, 114, 94, 126)(86, 118, 95, 127, 91, 123, 96, 128)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 82)(6, 80)(7, 86)(8, 89)(9, 66)(10, 92)(11, 93)(12, 90)(13, 67)(14, 84)(15, 88)(16, 70)(17, 94)(18, 69)(19, 91)(20, 78)(21, 95)(22, 71)(23, 96)(24, 79)(25, 72)(26, 76)(27, 83)(28, 74)(29, 75)(30, 81)(31, 85)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.446
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.451 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x QD16) : C2 (small group id <64, 258>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y2 * Y3 * Y2^-1, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y3 * Y1 * Y3 * Y1^-2, Y2^-2 * Y1^-4, Y3 * Y2^-1 * Y1^-1 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 20, 52, 11, 43, 24, 56, 19, 51, 5, 37)(3, 35, 10, 42, 21, 53, 17, 49, 6, 38, 8, 40, 23, 55, 13, 45)(4, 36, 14, 46, 27, 59, 9, 41, 26, 58, 18, 50, 22, 54, 15, 47)(12, 44, 29, 61, 32, 64, 28, 60, 16, 48, 30, 62, 31, 63, 25, 57)(65, 97, 67, 99, 75, 107, 70, 102)(66, 98, 72, 104, 88, 120, 74, 106)(68, 100, 76, 108, 90, 122, 80, 112)(69, 101, 81, 113, 84, 116, 77, 109)(71, 103, 85, 117, 83, 115, 87, 119)(73, 105, 89, 121, 79, 111, 92, 124)(78, 110, 94, 126, 82, 114, 93, 125)(86, 118, 95, 127, 91, 123, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 82)(6, 80)(7, 86)(8, 89)(9, 66)(10, 92)(11, 90)(12, 67)(13, 94)(14, 84)(15, 88)(16, 70)(17, 93)(18, 69)(19, 91)(20, 78)(21, 95)(22, 71)(23, 96)(24, 79)(25, 72)(26, 75)(27, 83)(28, 74)(29, 81)(30, 77)(31, 85)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.448
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.452 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x QD16) : C2 (small group id <64, 258>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y2 * Y3 * Y2^-1, Y2^4, (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^-1 * R)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, Y2^-2 * Y1^-4, Y1^-1 * Y3 * Y1 * Y3 * Y1^-2, Y1^-1 * Y2^2 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 20, 52, 12, 44, 24, 56, 18, 50, 5, 37)(3, 35, 11, 43, 23, 55, 10, 42, 6, 38, 19, 51, 21, 53, 8, 40)(4, 36, 14, 46, 27, 59, 9, 41, 26, 58, 17, 49, 22, 54, 15, 47)(13, 45, 28, 60, 31, 63, 29, 61, 16, 48, 25, 57, 32, 64, 30, 62)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 88, 120, 74, 106)(68, 100, 77, 109, 90, 122, 80, 112)(69, 101, 75, 107, 84, 116, 83, 115)(71, 103, 85, 117, 82, 114, 87, 119)(73, 105, 89, 121, 79, 111, 92, 124)(78, 110, 94, 126, 81, 113, 93, 125)(86, 118, 95, 127, 91, 123, 96, 128)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 81)(6, 80)(7, 86)(8, 89)(9, 66)(10, 92)(11, 93)(12, 90)(13, 67)(14, 84)(15, 88)(16, 70)(17, 69)(18, 91)(19, 94)(20, 78)(21, 95)(22, 71)(23, 96)(24, 79)(25, 72)(26, 76)(27, 82)(28, 74)(29, 75)(30, 83)(31, 85)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.447
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.453 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 8, 8, 8})
Quotient :: edge^2
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C16 : C2) : C2 (small group id <64, 42>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2, Y3 * Y2^-1 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y1 * Y2 * Y3^2, Y2^8, Y1^8, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36, 13, 45, 28, 60, 32, 64, 31, 63, 19, 51, 7, 39)(2, 34, 3, 35, 12, 44, 27, 59, 29, 61, 30, 62, 24, 56, 10, 42)(5, 37, 6, 38, 17, 49, 22, 54, 20, 52, 21, 53, 25, 57, 14, 46)(8, 40, 9, 41, 23, 55, 18, 50, 15, 47, 16, 48, 26, 58, 11, 43)(65, 66, 72, 84, 96, 93, 79, 69)(67, 75, 85, 92, 94, 82, 70, 71)(68, 74, 73, 86, 95, 91, 80, 78)(76, 90, 89, 77, 88, 87, 81, 83)(97, 99, 104, 117, 128, 126, 111, 102)(98, 105, 116, 127, 125, 112, 101, 100)(103, 108, 107, 121, 124, 120, 114, 113)(106, 119, 118, 115, 123, 122, 110, 109)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.456
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.454 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 8, 8, 8})
Quotient :: edge^2
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C16 : C2) : C2 (small group id <64, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-2 * Y2^2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y1^-1 * Y2 * Y3, Y1 * Y2 * Y3 * Y1^-1 * Y2, Y2^-1 * Y3 * Y1^-2 * Y2^-1 * Y3, Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 12, 44)(5, 37, 18, 50)(6, 38, 21, 53)(7, 39, 25, 57)(8, 40, 13, 45)(10, 42, 22, 54)(11, 43, 29, 61)(14, 46, 30, 62)(15, 47, 31, 63)(16, 48, 23, 55)(17, 49, 24, 56)(19, 51, 26, 58)(20, 52, 27, 59)(28, 60, 32, 64)(65, 66, 71, 87, 96, 94, 83, 69)(67, 75, 88, 91, 95, 86, 70, 77)(68, 78, 89, 82, 92, 73, 90, 80)(72, 79, 93, 85, 84, 76, 74, 81)(97, 99, 103, 120, 128, 127, 115, 102)(98, 104, 119, 125, 126, 116, 101, 106)(100, 111, 121, 117, 124, 108, 122, 113)(105, 123, 112, 118, 110, 109, 114, 107)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E19.455
Graph:: simple bipartite
	v = 24 e = 64 f = 4
	degree seq :: [ 4^16, 8^8 ]

E19.455 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 8, 8, 8})
Quotient :: loop^2
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C16 : C2) : C2 (small group id <64, 42>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2, Y3 * Y2^-1 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y1 * Y2 * Y3^2, Y2^8, Y1^8, Y3^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 28, 60, 92, 124, 32, 64, 96, 128, 31, 63, 95, 127, 19, 51, 83, 115, 7, 39, 71, 103)(2, 34, 66, 98, 3, 35, 67, 99, 12, 44, 76, 108, 27, 59, 91, 123, 29, 61, 93, 125, 30, 62, 94, 126, 24, 56, 88, 120, 10, 42, 74, 106)(5, 37, 69, 101, 6, 38, 70, 102, 17, 49, 81, 113, 22, 54, 86, 118, 20, 52, 84, 116, 21, 53, 85, 117, 25, 57, 89, 121, 14, 46, 78, 110)(8, 40, 72, 104, 9, 41, 73, 105, 23, 55, 87, 119, 18, 50, 82, 114, 15, 47, 79, 111, 16, 48, 80, 112, 26, 58, 90, 122, 11, 43, 75, 107)
	L = (1, 34)(2, 40)(3, 43)(4, 42)(5, 33)(6, 39)(7, 35)(8, 52)(9, 54)(10, 41)(11, 53)(12, 58)(13, 56)(14, 36)(15, 37)(16, 46)(17, 51)(18, 38)(19, 44)(20, 64)(21, 60)(22, 63)(23, 49)(24, 55)(25, 45)(26, 57)(27, 48)(28, 62)(29, 47)(30, 50)(31, 59)(32, 61)(65, 99)(66, 105)(67, 104)(68, 98)(69, 100)(70, 97)(71, 108)(72, 117)(73, 116)(74, 119)(75, 121)(76, 107)(77, 106)(78, 109)(79, 102)(80, 101)(81, 103)(82, 113)(83, 123)(84, 127)(85, 128)(86, 115)(87, 118)(88, 114)(89, 124)(90, 110)(91, 122)(92, 120)(93, 112)(94, 111)(95, 125)(96, 126)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.454
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 24
	degree seq :: [ 32^4 ]

E19.456 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 8, 8, 8})
Quotient :: loop^2
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C16 : C2) : C2 (small group id <64, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-2 * Y2^2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y1^-1 * Y2 * Y3, Y1 * Y2 * Y3 * Y1^-1 * Y2, Y2^-1 * Y3 * Y1^-2 * Y2^-1 * Y3, Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 9, 41, 73, 105)(3, 35, 67, 99, 12, 44, 76, 108)(5, 37, 69, 101, 18, 50, 82, 114)(6, 38, 70, 102, 21, 53, 85, 117)(7, 39, 71, 103, 25, 57, 89, 121)(8, 40, 72, 104, 13, 45, 77, 109)(10, 42, 74, 106, 22, 54, 86, 118)(11, 43, 75, 107, 29, 61, 93, 125)(14, 46, 78, 110, 30, 62, 94, 126)(15, 47, 79, 111, 31, 63, 95, 127)(16, 48, 80, 112, 23, 55, 87, 119)(17, 49, 81, 113, 24, 56, 88, 120)(19, 51, 83, 115, 26, 58, 90, 122)(20, 52, 84, 116, 27, 59, 91, 123)(28, 60, 92, 124, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 43)(4, 46)(5, 33)(6, 45)(7, 55)(8, 47)(9, 58)(10, 49)(11, 56)(12, 42)(13, 35)(14, 57)(15, 61)(16, 36)(17, 40)(18, 60)(19, 37)(20, 44)(21, 52)(22, 38)(23, 64)(24, 59)(25, 50)(26, 48)(27, 63)(28, 41)(29, 53)(30, 51)(31, 54)(32, 62)(65, 99)(66, 104)(67, 103)(68, 111)(69, 106)(70, 97)(71, 120)(72, 119)(73, 123)(74, 98)(75, 105)(76, 122)(77, 114)(78, 109)(79, 121)(80, 118)(81, 100)(82, 107)(83, 102)(84, 101)(85, 124)(86, 110)(87, 125)(88, 128)(89, 117)(90, 113)(91, 112)(92, 108)(93, 126)(94, 116)(95, 115)(96, 127)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.453
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.457 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y3^4 * Y1, Y2^4 * Y1, Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y2 * R * Y2)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 8, 40)(5, 37, 9, 41)(6, 38, 10, 42)(11, 43, 17, 49)(12, 44, 19, 51)(13, 45, 20, 52)(14, 46, 18, 50)(15, 47, 21, 53)(16, 48, 22, 54)(23, 55, 28, 60)(24, 56, 30, 62)(25, 57, 26, 58)(27, 59, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 75, 107, 73, 105, 66, 98, 71, 103, 81, 113, 69, 101)(68, 100, 77, 109, 87, 119, 85, 117, 72, 104, 84, 116, 92, 124, 79, 111)(70, 102, 76, 108, 88, 120, 86, 118, 74, 106, 83, 115, 94, 126, 80, 112)(78, 110, 90, 122, 95, 127, 93, 125, 82, 114, 89, 121, 96, 128, 91, 123)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 80)(6, 65)(7, 83)(8, 82)(9, 86)(10, 66)(11, 87)(12, 89)(13, 67)(14, 74)(15, 69)(16, 93)(17, 92)(18, 70)(19, 90)(20, 71)(21, 73)(22, 91)(23, 95)(24, 75)(25, 84)(26, 77)(27, 79)(28, 96)(29, 85)(30, 81)(31, 94)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E19.464
Graph:: bipartite
	v = 20 e = 64 f = 8
	degree seq :: [ 4^16, 16^4 ]

E19.458 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, Y1 * Y2^-1 * Y3^2 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, Y3^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 8, 40)(5, 37, 17, 49)(6, 38, 10, 42)(7, 39, 21, 53)(9, 41, 24, 56)(12, 44, 20, 52)(13, 45, 16, 48)(14, 46, 26, 58)(15, 47, 19, 51)(18, 50, 30, 62)(22, 54, 23, 55)(25, 57, 32, 64)(27, 59, 31, 63)(28, 60, 29, 61)(65, 97, 67, 99, 76, 108, 88, 120, 96, 128, 85, 117, 83, 115, 69, 101)(66, 98, 71, 103, 84, 116, 81, 113, 89, 121, 75, 107, 79, 111, 73, 105)(68, 100, 78, 110, 74, 106, 86, 118, 95, 127, 94, 126, 93, 125, 80, 112)(70, 102, 77, 109, 91, 123, 90, 122, 92, 124, 87, 119, 72, 104, 82, 114)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 82)(6, 65)(7, 86)(8, 83)(9, 78)(10, 66)(11, 80)(12, 74)(13, 81)(14, 67)(15, 92)(16, 69)(17, 94)(18, 71)(19, 93)(20, 70)(21, 87)(22, 88)(23, 73)(24, 90)(25, 91)(26, 75)(27, 76)(28, 96)(29, 89)(30, 85)(31, 84)(32, 95)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E19.466
Graph:: simple bipartite
	v = 20 e = 64 f = 8
	degree seq :: [ 4^16, 16^4 ]

E19.459 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y1 * Y3^-1 * Y2, Y1 * Y3^2 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3^8, Y2^8, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 8, 40)(5, 37, 17, 49)(6, 38, 10, 42)(7, 39, 21, 53)(9, 41, 23, 55)(12, 44, 15, 47)(13, 45, 25, 57)(14, 46, 18, 50)(16, 48, 29, 61)(19, 51, 20, 52)(22, 54, 24, 56)(26, 58, 32, 64)(27, 59, 28, 60)(30, 62, 31, 63)(65, 97, 67, 99, 76, 108, 87, 119, 96, 128, 85, 117, 83, 115, 69, 101)(66, 98, 71, 103, 79, 111, 81, 113, 90, 122, 75, 107, 84, 116, 73, 105)(68, 100, 78, 110, 91, 123, 89, 121, 95, 127, 88, 120, 74, 106, 80, 112)(70, 102, 77, 109, 72, 104, 86, 118, 92, 124, 93, 125, 94, 126, 82, 114)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 82)(6, 65)(7, 80)(8, 76)(9, 88)(10, 66)(11, 89)(12, 91)(13, 73)(14, 67)(15, 92)(16, 69)(17, 78)(18, 75)(19, 74)(20, 70)(21, 93)(22, 71)(23, 86)(24, 85)(25, 87)(26, 94)(27, 90)(28, 96)(29, 81)(30, 83)(31, 84)(32, 95)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E19.468
Graph:: simple bipartite
	v = 20 e = 64 f = 8
	degree seq :: [ 4^16, 16^4 ]

E19.460 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y3^4 * Y1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^4 * Y1, (R * Y2 * Y3^-1)^2, (Y2 * R * Y2)^2, (Y3^2 * Y2^-2)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 8, 40)(5, 37, 9, 41)(6, 38, 10, 42)(11, 43, 18, 50)(12, 44, 20, 52)(13, 45, 14, 46)(15, 47, 22, 54)(16, 48, 19, 51)(17, 49, 21, 53)(23, 55, 27, 59)(24, 56, 25, 57)(26, 58, 28, 60)(29, 61, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 75, 107, 73, 105, 66, 98, 71, 103, 82, 114, 69, 101)(68, 100, 78, 110, 87, 119, 83, 115, 72, 104, 77, 109, 91, 123, 80, 112)(70, 102, 84, 116, 88, 120, 81, 113, 74, 106, 76, 108, 89, 121, 85, 117)(79, 111, 92, 124, 95, 127, 94, 126, 86, 118, 90, 122, 96, 128, 93, 125)
	L = (1, 68)(2, 72)(3, 76)(4, 79)(5, 81)(6, 65)(7, 84)(8, 86)(9, 85)(10, 66)(11, 87)(12, 90)(13, 67)(14, 71)(15, 74)(16, 73)(17, 94)(18, 91)(19, 69)(20, 92)(21, 93)(22, 70)(23, 95)(24, 75)(25, 82)(26, 78)(27, 96)(28, 77)(29, 83)(30, 80)(31, 89)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E19.467
Graph:: bipartite
	v = 20 e = 64 f = 8
	degree seq :: [ 4^16, 16^4 ]

E19.461 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, R * Y2 * Y1 * R * Y2^-1, Y3^2 * Y1 * Y2^-2, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y3 * Y2^-2 * Y1 * Y3, Y1 * Y2^-1 * Y3^-2 * Y2^-1, Y2^-2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 8, 40)(5, 37, 18, 50)(6, 38, 10, 42)(7, 39, 25, 57)(9, 41, 26, 58)(12, 44, 16, 48)(13, 45, 17, 49)(14, 46, 19, 51)(15, 47, 23, 55)(20, 52, 24, 56)(21, 53, 22, 54)(27, 59, 32, 64)(28, 60, 30, 62)(29, 61, 31, 63)(65, 97, 67, 99, 76, 108, 90, 122, 96, 128, 89, 121, 84, 116, 69, 101)(66, 98, 71, 103, 80, 112, 82, 114, 91, 123, 75, 107, 88, 120, 73, 105)(68, 100, 79, 111, 92, 124, 85, 117, 95, 127, 78, 110, 74, 106, 81, 113)(70, 102, 86, 118, 72, 104, 83, 115, 94, 126, 77, 109, 93, 125, 87, 119)
	L = (1, 68)(2, 72)(3, 77)(4, 80)(5, 83)(6, 65)(7, 85)(8, 76)(9, 79)(10, 66)(11, 81)(12, 92)(13, 73)(14, 67)(15, 89)(16, 94)(17, 90)(18, 78)(19, 75)(20, 74)(21, 69)(22, 82)(23, 71)(24, 70)(25, 86)(26, 87)(27, 93)(28, 91)(29, 84)(30, 96)(31, 88)(32, 95)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E19.465
Graph:: simple bipartite
	v = 20 e = 64 f = 8
	degree seq :: [ 4^16, 16^4 ]

E19.462 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, Y1 * Y2 * R * Y2^-1 * R, Y3^2 * Y1 * Y2^2, Y3 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2^2 * Y1 * Y3, Y1 * Y2^-1 * Y3^2 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 8, 40)(5, 37, 18, 50)(6, 38, 10, 42)(7, 39, 25, 57)(9, 41, 26, 58)(12, 44, 24, 56)(13, 45, 21, 53)(14, 46, 23, 55)(15, 47, 19, 51)(16, 48, 20, 52)(17, 49, 22, 54)(27, 59, 32, 64)(28, 60, 31, 63)(29, 61, 30, 62)(65, 97, 67, 99, 76, 108, 90, 122, 96, 128, 89, 121, 84, 116, 69, 101)(66, 98, 71, 103, 88, 120, 82, 114, 91, 123, 75, 107, 80, 112, 73, 105)(68, 100, 79, 111, 74, 106, 85, 117, 95, 127, 78, 110, 94, 126, 81, 113)(70, 102, 86, 118, 92, 124, 83, 115, 93, 125, 77, 109, 72, 104, 87, 119)
	L = (1, 68)(2, 72)(3, 77)(4, 80)(5, 83)(6, 65)(7, 81)(8, 84)(9, 78)(10, 66)(11, 85)(12, 74)(13, 82)(14, 67)(15, 89)(16, 93)(17, 90)(18, 79)(19, 71)(20, 94)(21, 69)(22, 73)(23, 75)(24, 70)(25, 86)(26, 87)(27, 92)(28, 76)(29, 96)(30, 91)(31, 88)(32, 95)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E19.463
Graph:: simple bipartite
	v = 20 e = 64 f = 8
	degree seq :: [ 4^16, 16^4 ]

E19.463 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-2, Y2^-1 * Y3 * Y2 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y2^-1, Y2^-2 * Y3 * Y1^-1, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, R * Y2 * R * Y2^-1, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y3^8, Y1^8, Y2^-1 * Y1^-1 * Y2^5 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 20, 52, 30, 62, 28, 60, 19, 51, 5, 37)(3, 35, 11, 43, 21, 53, 31, 63, 26, 58, 32, 64, 25, 57, 15, 47)(4, 36, 17, 49, 22, 54, 12, 44, 24, 56, 10, 42, 7, 39, 13, 45)(6, 38, 9, 41, 23, 55, 16, 48, 27, 59, 14, 46, 29, 61, 18, 50)(65, 97, 67, 99, 77, 109, 91, 123, 94, 126, 90, 122, 76, 108, 70, 102)(66, 98, 73, 105, 88, 120, 96, 128, 92, 124, 78, 110, 68, 100, 75, 107)(69, 101, 82, 114, 86, 118, 95, 127, 84, 116, 80, 112, 71, 103, 79, 111)(72, 104, 85, 117, 81, 113, 93, 125, 83, 115, 89, 121, 74, 106, 87, 119)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 75)(7, 65)(8, 86)(9, 89)(10, 84)(11, 87)(12, 66)(13, 92)(14, 85)(15, 70)(16, 67)(17, 69)(18, 90)(19, 71)(20, 77)(21, 82)(22, 94)(23, 95)(24, 83)(25, 80)(26, 73)(27, 96)(28, 81)(29, 79)(30, 88)(31, 91)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.462
Graph:: bipartite
	v = 8 e = 64 f = 20
	degree seq :: [ 16^8 ]

E19.464 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y3 * Y1^-1 * Y3^2, Y1^-1 * Y3^-2 * Y1^-1, (Y3 * Y1)^2, Y1^3 * Y3^-1, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^-1 * Y2^-4 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 4, 36, 10, 42, 7, 39, 12, 44, 5, 37)(3, 35, 11, 43, 21, 53, 14, 46, 26, 58, 16, 48, 28, 60, 15, 47)(6, 38, 9, 41, 22, 54, 17, 49, 24, 56, 20, 52, 25, 57, 18, 50)(13, 45, 27, 59, 31, 63, 29, 61, 19, 51, 23, 55, 32, 64, 30, 62)(65, 97, 67, 99, 77, 109, 88, 120, 74, 106, 90, 122, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 80, 112, 71, 103, 84, 116, 91, 123, 75, 107)(68, 100, 81, 113, 94, 126, 79, 111, 69, 101, 82, 114, 93, 125, 78, 110)(72, 104, 85, 117, 95, 127, 89, 121, 76, 108, 92, 124, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 78)(4, 76)(5, 72)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 93)(14, 92)(15, 85)(16, 67)(17, 89)(18, 86)(19, 94)(20, 70)(21, 80)(22, 84)(23, 77)(24, 82)(25, 73)(26, 79)(27, 83)(28, 75)(29, 96)(30, 95)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.457
Graph:: bipartite
	v = 8 e = 64 f = 20
	degree seq :: [ 16^8 ]

E19.465 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y1^-1 * Y2 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^2, Y2^2 * Y3 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y1^-3 * Y3^-1 * Y2^2, Y1^-1 * Y2^-2 * Y3^-1 * Y1^-2, Y3^-1 * Y2 * Y3^-2 * Y2 * Y1^-1, Y3^8, Y2^-2 * Y3^-1 * Y2^4 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 20, 52, 30, 62, 28, 60, 18, 50, 5, 37)(3, 35, 11, 43, 21, 53, 19, 51, 29, 61, 16, 48, 27, 59, 13, 45)(4, 36, 15, 47, 22, 54, 12, 44, 25, 57, 10, 42, 7, 39, 17, 49)(6, 38, 9, 41, 23, 55, 31, 63, 26, 58, 32, 64, 24, 56, 14, 46)(65, 97, 67, 99, 76, 108, 90, 122, 94, 126, 93, 125, 81, 113, 70, 102)(66, 98, 73, 105, 68, 100, 80, 112, 92, 124, 96, 128, 89, 121, 75, 107)(69, 101, 78, 110, 71, 103, 83, 115, 84, 116, 95, 127, 86, 118, 77, 109)(72, 104, 85, 117, 74, 106, 88, 120, 82, 114, 91, 123, 79, 111, 87, 119)
	L = (1, 68)(2, 74)(3, 73)(4, 72)(5, 76)(6, 80)(7, 65)(8, 86)(9, 85)(10, 84)(11, 88)(12, 66)(13, 90)(14, 67)(15, 69)(16, 87)(17, 92)(18, 71)(19, 70)(20, 81)(21, 95)(22, 94)(23, 77)(24, 83)(25, 82)(26, 75)(27, 78)(28, 79)(29, 96)(30, 89)(31, 93)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.461
Graph:: bipartite
	v = 8 e = 64 f = 20
	degree seq :: [ 16^8 ]

E19.466 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2 * Y1^-1, Y3^-1 * Y1 * Y2^2, Y2 * Y3 * Y1^-1 * Y2, Y2^-1 * Y3 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1^2 * Y2 * Y1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^5, (Y1 * Y3^-1)^4, Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 22, 54, 32, 64, 31, 63, 20, 52, 5, 37)(3, 35, 13, 45, 23, 55, 21, 53, 29, 61, 11, 43, 27, 59, 15, 47)(4, 36, 17, 49, 24, 56, 12, 44, 30, 62, 10, 42, 7, 39, 18, 50)(6, 38, 14, 46, 25, 57, 19, 51, 28, 60, 9, 41, 26, 58, 16, 48)(65, 97, 67, 99, 76, 108, 92, 124, 96, 128, 93, 125, 82, 114, 70, 102)(66, 98, 73, 105, 68, 100, 77, 109, 95, 127, 78, 110, 94, 126, 75, 107)(69, 101, 83, 115, 71, 103, 79, 111, 86, 118, 80, 112, 88, 120, 85, 117)(72, 104, 87, 119, 74, 106, 90, 122, 84, 116, 91, 123, 81, 113, 89, 121)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 75)(7, 65)(8, 88)(9, 91)(10, 86)(11, 89)(12, 66)(13, 90)(14, 87)(15, 92)(16, 67)(17, 69)(18, 95)(19, 93)(20, 71)(21, 70)(22, 82)(23, 83)(24, 96)(25, 79)(26, 85)(27, 80)(28, 77)(29, 73)(30, 84)(31, 81)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.458
Graph:: bipartite
	v = 8 e = 64 f = 20
	degree seq :: [ 16^8 ]

E19.467 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, Y3 * Y1^-1 * Y3^2, Y3 * Y1^-3, (R * Y1)^2, Y2 * Y3^-1 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^2 * Y3^-1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3 * Y1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 4, 36, 10, 42, 7, 39, 12, 44, 5, 37)(3, 35, 13, 45, 21, 53, 15, 47, 26, 58, 11, 43, 27, 59, 16, 48)(6, 38, 19, 51, 22, 54, 18, 50, 25, 57, 9, 41, 23, 55, 17, 49)(14, 46, 28, 60, 31, 63, 29, 61, 20, 52, 24, 56, 32, 64, 30, 62)(65, 97, 67, 99, 78, 110, 89, 121, 74, 106, 90, 122, 84, 116, 70, 102)(66, 98, 73, 105, 88, 120, 77, 109, 71, 103, 83, 115, 92, 124, 75, 107)(68, 100, 81, 113, 94, 126, 79, 111, 69, 101, 82, 114, 93, 125, 80, 112)(72, 104, 85, 117, 95, 127, 87, 119, 76, 108, 91, 123, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 79)(4, 76)(5, 72)(6, 82)(7, 65)(8, 71)(9, 70)(10, 69)(11, 67)(12, 66)(13, 90)(14, 93)(15, 91)(16, 85)(17, 86)(18, 87)(19, 89)(20, 94)(21, 75)(22, 73)(23, 83)(24, 78)(25, 81)(26, 80)(27, 77)(28, 84)(29, 96)(30, 95)(31, 88)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.460
Graph:: bipartite
	v = 8 e = 64 f = 20
	degree seq :: [ 16^8 ]

E19.468 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = C4 . D8 = C4 . (C4 x C2) (small group id <32, 15>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, Y2^-2 * Y3 * Y1^-1, Y1 * Y2^-2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y3 * Y2^-1, Y2^-1 * Y3^-1 * Y2 * Y1^-3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y2^-1 * Y3^3 * Y2 * Y1, Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 22, 54, 32, 64, 31, 63, 19, 51, 5, 37)(3, 35, 13, 45, 23, 55, 20, 52, 30, 62, 11, 43, 29, 61, 15, 47)(4, 36, 17, 49, 24, 56, 12, 44, 27, 59, 10, 42, 7, 39, 14, 46)(6, 38, 18, 50, 25, 57, 16, 48, 28, 60, 9, 41, 26, 58, 21, 53)(65, 97, 67, 99, 78, 110, 92, 124, 96, 128, 94, 126, 76, 108, 70, 102)(66, 98, 73, 105, 91, 123, 77, 109, 95, 127, 82, 114, 68, 100, 75, 107)(69, 101, 80, 112, 88, 120, 79, 111, 86, 118, 85, 117, 71, 103, 84, 116)(72, 104, 87, 119, 81, 113, 90, 122, 83, 115, 93, 125, 74, 106, 89, 121)
	L = (1, 68)(2, 74)(3, 73)(4, 72)(5, 76)(6, 77)(7, 65)(8, 88)(9, 87)(10, 86)(11, 90)(12, 66)(13, 89)(14, 95)(15, 70)(16, 67)(17, 69)(18, 93)(19, 71)(20, 92)(21, 94)(22, 78)(23, 85)(24, 96)(25, 84)(26, 79)(27, 83)(28, 75)(29, 80)(30, 82)(31, 81)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.459
Graph:: bipartite
	v = 8 e = 64 f = 20
	degree seq :: [ 16^8 ]

E19.469 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y2^4, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y3^4 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 8, 40)(5, 37, 9, 41)(6, 38, 10, 42)(11, 43, 18, 50)(12, 44, 19, 51)(13, 45, 20, 52)(14, 46, 21, 53)(15, 47, 22, 54)(16, 48, 23, 55)(17, 49, 24, 56)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 31, 63)(28, 60, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 82, 114, 73, 105)(68, 100, 76, 108, 89, 121, 79, 111)(70, 102, 77, 109, 90, 122, 80, 112)(72, 104, 83, 115, 93, 125, 86, 118)(74, 106, 84, 116, 94, 126, 87, 119)(78, 110, 81, 113, 91, 123, 92, 124)(85, 117, 88, 120, 95, 127, 96, 128)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 79)(6, 65)(7, 83)(8, 85)(9, 86)(10, 66)(11, 89)(12, 81)(13, 67)(14, 80)(15, 92)(16, 69)(17, 70)(18, 93)(19, 88)(20, 71)(21, 87)(22, 96)(23, 73)(24, 74)(25, 91)(26, 75)(27, 77)(28, 90)(29, 95)(30, 82)(31, 84)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E19.482
Graph:: simple bipartite
	v = 24 e = 64 f = 4
	degree seq :: [ 4^16, 8^8 ]

E19.470 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, Y2^4, Y3 * Y1 * Y3^-1 * Y1, Y3 * Y2^-1 * Y3^3 * Y1, Y1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 8, 40)(5, 37, 9, 41)(6, 38, 10, 42)(11, 43, 18, 50)(12, 44, 19, 51)(13, 45, 20, 52)(14, 46, 21, 53)(15, 47, 22, 54)(16, 48, 23, 55)(17, 49, 24, 56)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 31, 63)(28, 60, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 82, 114, 73, 105)(68, 100, 76, 108, 89, 121, 79, 111)(70, 102, 77, 109, 90, 122, 80, 112)(72, 104, 83, 115, 93, 125, 86, 118)(74, 106, 84, 116, 94, 126, 87, 119)(78, 110, 91, 123, 96, 128, 88, 120)(81, 113, 85, 117, 95, 127, 92, 124)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 79)(6, 65)(7, 83)(8, 85)(9, 86)(10, 66)(11, 89)(12, 91)(13, 67)(14, 84)(15, 88)(16, 69)(17, 70)(18, 93)(19, 95)(20, 71)(21, 77)(22, 81)(23, 73)(24, 74)(25, 96)(26, 75)(27, 94)(28, 80)(29, 92)(30, 82)(31, 90)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E19.481
Graph:: simple bipartite
	v = 24 e = 64 f = 4
	degree seq :: [ 4^16, 8^8 ]

E19.471 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2 * Y1, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-2 * Y1^-1, (Y2, Y1^-1), (Y3^-1, Y2^-1), (Y3 * Y1^-1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y3 * Y2^4, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 21, 53, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 11, 43, 22, 54, 18, 50)(13, 45, 23, 55, 31, 63, 29, 61)(14, 46, 24, 56, 16, 48, 25, 57)(17, 49, 26, 58, 20, 52, 28, 60)(19, 51, 27, 59, 30, 62, 32, 64)(65, 97, 67, 99, 77, 109, 84, 116, 71, 103, 80, 112, 94, 126, 86, 118, 72, 104, 85, 117, 95, 127, 81, 113, 68, 100, 78, 110, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 92, 124, 76, 108, 89, 121, 96, 128, 82, 114, 69, 101, 79, 111, 93, 125, 90, 122, 74, 106, 88, 120, 91, 123, 75, 107)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 83)(14, 85)(15, 89)(16, 67)(17, 86)(18, 92)(19, 95)(20, 70)(21, 80)(22, 84)(23, 91)(24, 79)(25, 73)(26, 82)(27, 93)(28, 75)(29, 96)(30, 77)(31, 94)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E19.476
Graph:: bipartite
	v = 10 e = 64 f = 18
	degree seq :: [ 8^8, 32^2 ]

E19.472 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1^-1)^2, Y3^4, Y1^-2 * Y3^-2, Y1^-2 * Y3^2, (Y3^-1 * Y1)^2, Y1^4, (Y2, Y1^-1), (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), (R * Y1)^2, Y3^-1 * Y2^4, Y2 * Y1 * Y2^2 * Y3 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 21, 53, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 11, 43, 22, 54, 18, 50)(13, 45, 23, 55, 32, 64, 30, 62)(14, 46, 24, 56, 16, 48, 25, 57)(17, 49, 26, 58, 20, 52, 28, 60)(19, 51, 27, 59, 29, 61, 31, 63)(65, 97, 67, 99, 77, 109, 81, 113, 68, 100, 78, 110, 93, 125, 86, 118, 72, 104, 85, 117, 96, 128, 84, 116, 71, 103, 80, 112, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 90, 122, 74, 106, 88, 120, 95, 127, 82, 114, 69, 101, 79, 111, 94, 126, 92, 124, 76, 108, 89, 121, 91, 123, 75, 107)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 93)(14, 85)(15, 89)(16, 67)(17, 86)(18, 92)(19, 77)(20, 70)(21, 80)(22, 84)(23, 95)(24, 79)(25, 73)(26, 82)(27, 87)(28, 75)(29, 96)(30, 91)(31, 94)(32, 83)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 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 E19.477
Graph:: bipartite
	v = 10 e = 64 f = 18
	degree seq :: [ 8^8, 32^2 ]

E19.473 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (Y2, Y1^-1), (Y1^-1, Y3^-1), Y3^4, Y1^2 * Y3^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y3^2 * Y1^-2, Y2^4 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 21, 53, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 11, 43, 22, 54, 18, 50)(13, 45, 19, 51, 26, 58, 29, 61)(14, 46, 23, 55, 16, 48, 24, 56)(17, 49, 25, 57, 20, 52, 27, 59)(28, 60, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 77, 109, 82, 114, 69, 101, 79, 111, 93, 125, 86, 118, 72, 104, 85, 117, 90, 122, 75, 107, 66, 98, 73, 105, 83, 115, 70, 102)(68, 100, 78, 110, 92, 124, 91, 123, 76, 108, 88, 120, 96, 128, 84, 116, 71, 103, 80, 112, 94, 126, 89, 121, 74, 106, 87, 119, 95, 127, 81, 113)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 87)(10, 69)(11, 89)(12, 66)(13, 92)(14, 85)(15, 88)(16, 67)(17, 86)(18, 91)(19, 95)(20, 70)(21, 80)(22, 84)(23, 79)(24, 73)(25, 82)(26, 94)(27, 75)(28, 90)(29, 96)(30, 77)(31, 93)(32, 83)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 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 E19.478
Graph:: bipartite
	v = 10 e = 64 f = 18
	degree seq :: [ 8^8, 32^2 ]

E19.474 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, (R * Y3)^2, Y3^2 * Y1^2, (R * Y1)^2, (Y3^-1, Y1^-1), (Y2, Y1^-1), (R * Y2)^2, Y1^4, (Y3^-1, Y2^-1), Y2^4 * 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 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 21, 53, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 11, 43, 22, 54, 18, 50)(13, 45, 23, 55, 31, 63, 19, 51)(14, 46, 24, 56, 16, 48, 25, 57)(17, 49, 26, 58, 20, 52, 27, 59)(28, 60, 32, 64, 29, 61, 30, 62)(65, 97, 67, 99, 77, 109, 75, 107, 66, 98, 73, 105, 87, 119, 86, 118, 72, 104, 85, 117, 95, 127, 82, 114, 69, 101, 79, 111, 83, 115, 70, 102)(68, 100, 78, 110, 92, 124, 90, 122, 74, 106, 88, 120, 96, 128, 84, 116, 71, 103, 80, 112, 93, 125, 91, 123, 76, 108, 89, 121, 94, 126, 81, 113)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 92)(14, 85)(15, 89)(16, 67)(17, 86)(18, 91)(19, 94)(20, 70)(21, 80)(22, 84)(23, 96)(24, 79)(25, 73)(26, 82)(27, 75)(28, 95)(29, 77)(30, 87)(31, 93)(32, 83)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 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 E19.479
Graph:: bipartite
	v = 10 e = 64 f = 18
	degree seq :: [ 8^8, 32^2 ]

E19.475 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, (Y2^-1 * R)^2, (R * Y3)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y2 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1^-1, (R * Y1)^2, (Y2^3 * Y3^-1 * Y2)^2, (Y2^-1 * Y1)^16 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 7, 39, 13, 45, 10, 42)(5, 37, 8, 40, 14, 46, 11, 43)(9, 41, 15, 47, 21, 53, 18, 50)(12, 44, 16, 48, 22, 54, 19, 51)(17, 49, 23, 55, 29, 61, 26, 58)(20, 52, 24, 56, 30, 62, 27, 59)(25, 57, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 73, 105, 81, 113, 89, 121, 94, 126, 86, 118, 78, 110, 70, 102, 77, 109, 85, 117, 93, 125, 92, 124, 84, 116, 76, 108, 69, 101)(66, 98, 71, 103, 79, 111, 87, 119, 95, 127, 91, 123, 83, 115, 75, 107, 68, 100, 74, 106, 82, 114, 90, 122, 96, 128, 88, 120, 80, 112, 72, 104)
	L = (1, 66)(2, 70)(3, 71)(4, 65)(5, 72)(6, 68)(7, 77)(8, 78)(9, 79)(10, 67)(11, 69)(12, 80)(13, 74)(14, 75)(15, 85)(16, 86)(17, 87)(18, 73)(19, 76)(20, 88)(21, 82)(22, 83)(23, 93)(24, 94)(25, 95)(26, 81)(27, 84)(28, 96)(29, 90)(30, 91)(31, 92)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 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 E19.480
Graph:: bipartite
	v = 10 e = 64 f = 18
	degree seq :: [ 8^8, 32^2 ]

E19.476 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, (Y3, Y1), Y3 * Y2 * Y3^-1 * Y2, Y3 * Y1^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 17, 49, 6, 38, 10, 42, 19, 51, 27, 59, 14, 46, 22, 54, 28, 60, 15, 47, 4, 36, 9, 41, 16, 48, 5, 37)(3, 35, 8, 40, 18, 50, 26, 58, 13, 45, 21, 53, 29, 61, 31, 63, 23, 55, 30, 62, 32, 64, 24, 56, 11, 43, 20, 52, 25, 57, 12, 44)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 82, 114)(73, 105, 84, 116)(74, 106, 85, 117)(78, 110, 87, 119)(79, 111, 88, 120)(80, 112, 89, 121)(81, 113, 90, 122)(83, 115, 93, 125)(86, 118, 94, 126)(91, 123, 95, 127)(92, 124, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 80)(8, 84)(9, 86)(10, 66)(11, 87)(12, 88)(13, 67)(14, 70)(15, 91)(16, 92)(17, 69)(18, 89)(19, 71)(20, 94)(21, 72)(22, 74)(23, 77)(24, 95)(25, 96)(26, 76)(27, 81)(28, 83)(29, 82)(30, 85)(31, 90)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E19.471
Graph:: bipartite
	v = 18 e = 64 f = 10
	degree seq :: [ 4^16, 32^2 ]

E19.477 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y3)^2, (Y3, Y1), (R * Y1)^2, (R * Y2)^2, Y3^4, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y1^4, Y3 * Y1^2 * Y3 * Y1^2 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 15, 47, 4, 36, 9, 41, 19, 51, 27, 59, 14, 46, 22, 54, 28, 60, 17, 49, 6, 38, 10, 42, 16, 48, 5, 37)(3, 35, 8, 40, 18, 50, 24, 56, 11, 43, 20, 52, 29, 61, 31, 63, 23, 55, 30, 62, 32, 64, 26, 58, 13, 45, 21, 53, 25, 57, 12, 44)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 82, 114)(73, 105, 84, 116)(74, 106, 85, 117)(78, 110, 87, 119)(79, 111, 88, 120)(80, 112, 89, 121)(81, 113, 90, 122)(83, 115, 93, 125)(86, 118, 94, 126)(91, 123, 95, 127)(92, 124, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 83)(8, 84)(9, 86)(10, 66)(11, 87)(12, 88)(13, 67)(14, 70)(15, 91)(16, 71)(17, 69)(18, 93)(19, 92)(20, 94)(21, 72)(22, 74)(23, 77)(24, 95)(25, 82)(26, 76)(27, 81)(28, 80)(29, 96)(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) :: { ( 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E19.472
Graph:: bipartite
	v = 18 e = 64 f = 10
	degree seq :: [ 4^16, 32^2 ]

E19.478 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y2 * Y1^-1 * Y2 * Y1, (Y3, Y1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^4, Y3 * Y2 * Y1^-4, (Y2 * Y3^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 18, 50, 11, 43, 22, 54, 30, 62, 27, 59, 14, 46, 24, 56, 31, 63, 26, 58, 13, 45, 23, 55, 16, 48, 5, 37)(3, 35, 8, 40, 19, 51, 15, 47, 4, 36, 9, 41, 20, 52, 29, 61, 25, 57, 32, 64, 28, 60, 17, 49, 6, 38, 10, 42, 21, 53, 12, 44)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 83, 115)(73, 105, 86, 118)(74, 106, 87, 119)(78, 110, 89, 121)(79, 111, 82, 114)(80, 112, 85, 117)(81, 113, 90, 122)(84, 116, 94, 126)(88, 120, 96, 128)(91, 123, 93, 125)(92, 124, 95, 127)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 84)(8, 86)(9, 88)(10, 66)(11, 89)(12, 82)(13, 67)(14, 70)(15, 91)(16, 83)(17, 69)(18, 93)(19, 94)(20, 95)(21, 71)(22, 96)(23, 72)(24, 74)(25, 77)(26, 76)(27, 81)(28, 80)(29, 90)(30, 92)(31, 85)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E19.473
Graph:: bipartite
	v = 18 e = 64 f = 10
	degree seq :: [ 4^16, 32^2 ]

E19.479 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y2 * Y3^-1 * Y2 * Y3, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (Y1, Y3^-1), Y3^4, Y3^-1 * Y2 * Y1^-4, (Y2 * Y3)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 18, 50, 13, 45, 23, 55, 30, 62, 27, 59, 14, 46, 24, 56, 31, 63, 26, 58, 11, 43, 22, 54, 16, 48, 5, 37)(3, 35, 8, 40, 19, 51, 17, 49, 6, 38, 10, 42, 21, 53, 29, 61, 25, 57, 32, 64, 28, 60, 15, 47, 4, 36, 9, 41, 20, 52, 12, 44)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 83, 115)(73, 105, 86, 118)(74, 106, 87, 119)(78, 110, 89, 121)(79, 111, 90, 122)(80, 112, 84, 116)(81, 113, 82, 114)(85, 117, 94, 126)(88, 120, 96, 128)(91, 123, 93, 125)(92, 124, 95, 127)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 84)(8, 86)(9, 88)(10, 66)(11, 89)(12, 90)(13, 67)(14, 70)(15, 91)(16, 92)(17, 69)(18, 76)(19, 80)(20, 95)(21, 71)(22, 96)(23, 72)(24, 74)(25, 77)(26, 93)(27, 81)(28, 94)(29, 82)(30, 83)(31, 85)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E19.474
Graph:: bipartite
	v = 18 e = 64 f = 10
	degree seq :: [ 4^16, 32^2 ]

E19.480 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y2 * Y3^-2, Y2 * Y1^-1 * Y2 * Y1, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y1), (R * Y3)^2, Y2 * Y1^8, (Y1^-4 * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 15, 47, 23, 55, 27, 59, 19, 51, 11, 43, 3, 35, 8, 40, 16, 48, 24, 56, 29, 61, 21, 53, 13, 45, 5, 37)(4, 36, 9, 41, 17, 49, 25, 57, 31, 63, 30, 62, 22, 54, 14, 46, 6, 38, 10, 42, 18, 50, 26, 58, 32, 64, 28, 60, 20, 52, 12, 44)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 70, 102)(69, 101, 75, 107)(71, 103, 80, 112)(73, 105, 74, 106)(76, 108, 78, 110)(77, 109, 83, 115)(79, 111, 88, 120)(81, 113, 82, 114)(84, 116, 86, 118)(85, 117, 91, 123)(87, 119, 93, 125)(89, 121, 90, 122)(92, 124, 94, 126)(95, 127, 96, 128)
	L = (1, 68)(2, 73)(3, 70)(4, 67)(5, 76)(6, 65)(7, 81)(8, 74)(9, 72)(10, 66)(11, 78)(12, 75)(13, 84)(14, 69)(15, 89)(16, 82)(17, 80)(18, 71)(19, 86)(20, 83)(21, 92)(22, 77)(23, 95)(24, 90)(25, 88)(26, 79)(27, 94)(28, 91)(29, 96)(30, 85)(31, 93)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E19.475
Graph:: bipartite
	v = 18 e = 64 f = 10
	degree seq :: [ 4^16, 32^2 ]

E19.481 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1 * Y2^-1, (Y3, Y2^-1), Y2 * Y3^2 * Y1^-1, Y3^2 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y2 * Y1^5, (Y1^-1 * Y3^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 17, 49, 6, 38, 11, 43, 22, 54, 30, 62, 25, 57, 13, 45, 3, 35, 9, 41, 20, 52, 16, 48, 5, 37)(4, 36, 10, 42, 21, 53, 29, 61, 26, 58, 14, 46, 24, 56, 32, 64, 28, 60, 18, 50, 7, 39, 12, 44, 23, 55, 31, 63, 27, 59, 15, 47)(65, 97, 67, 99, 75, 107, 66, 98, 73, 105, 86, 118, 72, 104, 84, 116, 94, 126, 83, 115, 80, 112, 89, 121, 81, 113, 69, 101, 77, 109, 70, 102)(68, 100, 76, 108, 88, 120, 74, 106, 87, 119, 96, 128, 85, 117, 95, 127, 92, 124, 93, 125, 91, 123, 82, 114, 90, 122, 79, 111, 71, 103, 78, 110)
	L = (1, 68)(2, 74)(3, 76)(4, 75)(5, 79)(6, 78)(7, 65)(8, 85)(9, 87)(10, 86)(11, 88)(12, 66)(13, 71)(14, 67)(15, 70)(16, 91)(17, 90)(18, 69)(19, 93)(20, 95)(21, 94)(22, 96)(23, 72)(24, 73)(25, 82)(26, 77)(27, 81)(28, 80)(29, 89)(30, 92)(31, 83)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 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 E19.470
Graph:: bipartite
	v = 4 e = 64 f = 24
	degree seq :: [ 32^4 ]

E19.482 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-3, Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-1, (Y2, Y1^-1), (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^-4, (Y3^-1 * Y1^3)^2, Y1 * Y3^-1 * Y2^14 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 18, 50, 7, 39, 12, 44, 23, 55, 31, 63, 27, 59, 15, 47, 4, 36, 10, 42, 21, 53, 16, 48, 5, 37)(3, 35, 9, 41, 20, 52, 29, 61, 26, 58, 14, 46, 24, 56, 32, 64, 28, 60, 17, 49, 6, 38, 11, 43, 22, 54, 30, 62, 25, 57, 13, 45)(65, 97, 67, 99, 76, 108, 88, 120, 74, 106, 86, 118, 72, 104, 84, 116, 95, 127, 92, 124, 80, 112, 89, 121, 82, 114, 90, 122, 79, 111, 70, 102)(66, 98, 73, 105, 87, 119, 96, 128, 85, 117, 94, 126, 83, 115, 93, 125, 91, 123, 81, 113, 69, 101, 77, 109, 71, 103, 78, 110, 68, 100, 75, 107)
	L = (1, 68)(2, 74)(3, 75)(4, 76)(5, 79)(6, 78)(7, 65)(8, 85)(9, 86)(10, 87)(11, 88)(12, 66)(13, 70)(14, 67)(15, 71)(16, 91)(17, 90)(18, 69)(19, 80)(20, 94)(21, 95)(22, 96)(23, 72)(24, 73)(25, 81)(26, 77)(27, 82)(28, 93)(29, 89)(30, 92)(31, 83)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 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 E19.469
Graph:: bipartite
	v = 4 e = 64 f = 24
	degree seq :: [ 32^4 ]

E19.483 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y2^-1 * Y1 * Y2, (Y3^-1, Y2), (Y3^-1, Y2^-1), (R * Y2)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^4, (R * Y1)^2, (R * Y3)^2, Y3^4 * Y2, Y1 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y2^-1, Y1 * Y3^-2 * Y1 * Y3^2, Y2^-2 * Y3^-1 * Y1 * Y3 * Y1, (Y2^-1 * Y3)^16 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 14, 46)(5, 37, 9, 41)(6, 38, 18, 50)(8, 40, 23, 55)(10, 42, 27, 59)(11, 43, 20, 52)(12, 44, 25, 57)(13, 45, 26, 58)(15, 47, 24, 56)(16, 48, 21, 53)(17, 49, 22, 54)(19, 51, 28, 60)(29, 61, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 84, 116, 73, 105)(68, 100, 76, 108, 87, 119, 80, 112)(70, 102, 77, 109, 91, 123, 81, 113)(72, 104, 85, 117, 78, 110, 89, 121)(74, 106, 86, 118, 82, 114, 90, 122)(79, 111, 83, 115, 93, 125, 95, 127)(88, 120, 92, 124, 94, 126, 96, 128)
	L = (1, 68)(2, 72)(3, 76)(4, 79)(5, 80)(6, 65)(7, 85)(8, 88)(9, 89)(10, 66)(11, 87)(12, 83)(13, 67)(14, 94)(15, 81)(16, 95)(17, 69)(18, 84)(19, 70)(20, 78)(21, 92)(22, 71)(23, 93)(24, 90)(25, 96)(26, 73)(27, 75)(28, 74)(29, 77)(30, 86)(31, 91)(32, 82)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E19.494
Graph:: simple bipartite
	v = 24 e = 64 f = 4
	degree seq :: [ 4^16, 8^8 ]

E19.484 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (R * Y3)^2, Y3^-2 * Y1^2, (Y3^-1 * Y1^-1)^2, (Y3^-1, Y2^-1), Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y3^-2 * Y1^-1, (Y3 * Y1^-1)^2, Y2^3 * Y3 * Y2, Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y3^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 9, 41)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 18, 50, 22, 54, 11, 43)(14, 46, 23, 55, 31, 63, 29, 61)(15, 47, 25, 57, 16, 48, 24, 56)(17, 49, 28, 60, 20, 52, 26, 58)(19, 51, 27, 59, 30, 62, 32, 64)(65, 97, 67, 99, 78, 110, 84, 116, 71, 103, 80, 112, 94, 126, 86, 118, 72, 104, 85, 117, 95, 127, 81, 113, 68, 100, 79, 111, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 92, 124, 76, 108, 89, 121, 96, 128, 82, 114, 69, 101, 77, 109, 93, 125, 90, 122, 74, 106, 88, 120, 91, 123, 75, 107)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 89)(14, 83)(15, 85)(16, 67)(17, 86)(18, 92)(19, 95)(20, 70)(21, 80)(22, 84)(23, 91)(24, 77)(25, 73)(26, 82)(27, 93)(28, 75)(29, 96)(30, 78)(31, 94)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E19.490
Graph:: bipartite
	v = 10 e = 64 f = 18
	degree seq :: [ 8^8, 32^2 ]

E19.485 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y1^-1 * Y3^2 * Y1^-1, (Y3^-1 * Y1)^2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, (Y2, Y3^-1), Y2^-1 * Y1 * Y2 * Y1, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, Y3^-1 * Y2^4, Y1^-2 * Y2^2 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 9, 41)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 18, 50, 22, 54, 11, 43)(14, 46, 23, 55, 32, 64, 29, 61)(15, 47, 25, 57, 16, 48, 24, 56)(17, 49, 28, 60, 20, 52, 26, 58)(19, 51, 27, 59, 30, 62, 31, 63)(65, 97, 67, 99, 78, 110, 81, 113, 68, 100, 79, 111, 94, 126, 86, 118, 72, 104, 85, 117, 96, 128, 84, 116, 71, 103, 80, 112, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 90, 122, 74, 106, 88, 120, 95, 127, 82, 114, 69, 101, 77, 109, 93, 125, 92, 124, 76, 108, 89, 121, 91, 123, 75, 107)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 89)(14, 94)(15, 85)(16, 67)(17, 86)(18, 92)(19, 78)(20, 70)(21, 80)(22, 84)(23, 95)(24, 77)(25, 73)(26, 82)(27, 87)(28, 75)(29, 91)(30, 96)(31, 93)(32, 83)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 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 E19.491
Graph:: bipartite
	v = 10 e = 64 f = 18
	degree seq :: [ 8^8, 32^2 ]

E19.486 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^2, (Y1^-1, Y3), Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y3^4, Y1^4, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2^4 * Y1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 21, 53, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 11, 43, 22, 54, 18, 50)(13, 45, 20, 52, 27, 59, 29, 61)(14, 46, 23, 55, 16, 48, 24, 56)(17, 49, 25, 57, 19, 51, 26, 58)(28, 60, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 77, 109, 82, 114, 69, 101, 79, 111, 93, 125, 86, 118, 72, 104, 85, 117, 91, 123, 75, 107, 66, 98, 73, 105, 84, 116, 70, 102)(68, 100, 80, 112, 92, 124, 90, 122, 76, 108, 87, 119, 96, 128, 83, 115, 71, 103, 78, 110, 94, 126, 89, 121, 74, 106, 88, 120, 95, 127, 81, 113)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 87)(10, 69)(11, 90)(12, 66)(13, 92)(14, 85)(15, 88)(16, 67)(17, 70)(18, 89)(19, 86)(20, 95)(21, 80)(22, 81)(23, 79)(24, 73)(25, 75)(26, 82)(27, 94)(28, 91)(29, 96)(30, 77)(31, 93)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 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 E19.492
Graph:: bipartite
	v = 10 e = 64 f = 18
	degree seq :: [ 8^8, 32^2 ]

E19.487 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2 * Y1^-1, (Y2, Y1^-1), (R * Y3)^2, Y1^4, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y2^4 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y3^-1 * Y2^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 21, 53, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 11, 43, 22, 54, 18, 50)(13, 45, 23, 55, 31, 63, 20, 52)(14, 46, 24, 56, 16, 48, 25, 57)(17, 49, 26, 58, 19, 51, 27, 59)(28, 60, 32, 64, 29, 61, 30, 62)(65, 97, 67, 99, 77, 109, 75, 107, 66, 98, 73, 105, 87, 119, 86, 118, 72, 104, 85, 117, 95, 127, 82, 114, 69, 101, 79, 111, 84, 116, 70, 102)(68, 100, 80, 112, 92, 124, 90, 122, 74, 106, 89, 121, 96, 128, 83, 115, 71, 103, 78, 110, 93, 125, 91, 123, 76, 108, 88, 120, 94, 126, 81, 113)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 88)(10, 69)(11, 91)(12, 66)(13, 92)(14, 85)(15, 89)(16, 67)(17, 70)(18, 90)(19, 86)(20, 94)(21, 80)(22, 81)(23, 96)(24, 79)(25, 73)(26, 75)(27, 82)(28, 95)(29, 77)(30, 87)(31, 93)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 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 E19.493
Graph:: bipartite
	v = 10 e = 64 f = 18
	degree seq :: [ 8^8, 32^2 ]

E19.488 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, (R * Y1)^2, Y1^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2^-2 * R)^2, Y2^3 * Y1 * Y2^5 * Y1^-1, (Y3 * Y2^-1)^16 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 13, 45, 7, 39)(5, 37, 11, 43, 14, 46, 8, 40)(10, 42, 15, 47, 21, 53, 17, 49)(12, 44, 16, 48, 22, 54, 19, 51)(18, 50, 25, 57, 29, 61, 23, 55)(20, 52, 27, 59, 30, 62, 24, 56)(26, 58, 31, 63, 28, 60, 32, 64)(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, 69, 101)(66, 98, 71, 103, 79, 111, 87, 119, 95, 127, 91, 123, 83, 115, 75, 107, 68, 100, 73, 105, 81, 113, 89, 121, 96, 128, 88, 120, 80, 112, 72, 104)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 75)(6, 68)(7, 67)(8, 69)(9, 77)(10, 79)(11, 78)(12, 80)(13, 71)(14, 72)(15, 85)(16, 86)(17, 74)(18, 89)(19, 76)(20, 91)(21, 81)(22, 83)(23, 82)(24, 84)(25, 93)(26, 95)(27, 94)(28, 96)(29, 87)(30, 88)(31, 92)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 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 E19.489
Graph:: bipartite
	v = 10 e = 64 f = 18
	degree seq :: [ 8^8, 32^2 ]

E19.489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3 * Y2 * Y3, Y3^-2 * Y2, (R * Y3)^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y2 * Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 15, 47, 23, 55, 27, 59, 19, 51, 11, 43, 3, 35, 8, 40, 16, 48, 24, 56, 30, 62, 22, 54, 14, 46, 5, 37)(4, 36, 10, 42, 17, 49, 26, 58, 31, 63, 29, 61, 21, 53, 13, 45, 6, 38, 9, 41, 18, 50, 25, 57, 32, 64, 28, 60, 20, 52, 12, 44)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 70, 102)(69, 101, 75, 107)(71, 103, 80, 112)(73, 105, 74, 106)(76, 108, 77, 109)(78, 110, 83, 115)(79, 111, 88, 120)(81, 113, 82, 114)(84, 116, 85, 117)(86, 118, 91, 123)(87, 119, 94, 126)(89, 121, 90, 122)(92, 124, 93, 125)(95, 127, 96, 128)
	L = (1, 68)(2, 73)(3, 70)(4, 67)(5, 77)(6, 65)(7, 81)(8, 74)(9, 72)(10, 66)(11, 76)(12, 69)(13, 75)(14, 84)(15, 89)(16, 82)(17, 80)(18, 71)(19, 85)(20, 83)(21, 78)(22, 93)(23, 95)(24, 90)(25, 88)(26, 79)(27, 92)(28, 86)(29, 91)(30, 96)(31, 94)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E19.488
Graph:: bipartite
	v = 18 e = 64 f = 10
	degree seq :: [ 4^16, 32^2 ]

E19.490 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y1^-1, Y3), Y2 * Y3^-1 * Y2 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^4, Y1^4 * Y3, Y2 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y3^-1, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 19, 51, 6, 38, 10, 42, 21, 53, 28, 60, 15, 47, 26, 58, 31, 63, 16, 48, 4, 36, 9, 41, 18, 50, 5, 37)(3, 35, 11, 43, 20, 52, 30, 62, 14, 46, 23, 55, 32, 64, 17, 49, 24, 56, 8, 40, 22, 54, 27, 59, 12, 44, 25, 57, 29, 61, 13, 45)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 81, 113)(70, 102, 78, 110)(71, 103, 84, 116)(73, 105, 87, 119)(74, 106, 89, 121)(75, 107, 90, 122)(77, 109, 92, 124)(79, 111, 88, 120)(80, 112, 94, 126)(82, 114, 93, 125)(83, 115, 91, 123)(85, 117, 96, 128)(86, 118, 95, 127)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 80)(6, 65)(7, 82)(8, 87)(9, 90)(10, 66)(11, 89)(12, 88)(13, 91)(14, 67)(15, 70)(16, 92)(17, 94)(18, 95)(19, 69)(20, 93)(21, 71)(22, 96)(23, 75)(24, 78)(25, 72)(26, 74)(27, 81)(28, 83)(29, 86)(30, 77)(31, 85)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E19.484
Graph:: bipartite
	v = 18 e = 64 f = 10
	degree seq :: [ 4^16, 32^2 ]

E19.491 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y2 * Y3 * Y2 * Y3^-1, (Y3^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y3^4, (R * Y3)^2, Y3^-1 * Y1^4, Y2 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y3^2 * Y2 * Y1^-1 * Y2 * Y1, Y1^2 * Y2 * Y1^-2 * Y2, Y3 * Y1 * Y2 * Y1 * Y2 * Y1^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 16, 48, 4, 36, 9, 41, 21, 53, 28, 60, 15, 47, 26, 58, 32, 64, 19, 51, 6, 38, 10, 42, 18, 50, 5, 37)(3, 35, 11, 43, 20, 52, 27, 59, 12, 44, 25, 57, 31, 63, 17, 49, 24, 56, 8, 40, 22, 54, 30, 62, 14, 46, 23, 55, 29, 61, 13, 45)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 81, 113)(70, 102, 78, 110)(71, 103, 84, 116)(73, 105, 87, 119)(74, 106, 89, 121)(75, 107, 90, 122)(77, 109, 92, 124)(79, 111, 88, 120)(80, 112, 94, 126)(82, 114, 93, 125)(83, 115, 91, 123)(85, 117, 95, 127)(86, 118, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 80)(6, 65)(7, 85)(8, 87)(9, 90)(10, 66)(11, 89)(12, 88)(13, 91)(14, 67)(15, 70)(16, 92)(17, 94)(18, 71)(19, 69)(20, 95)(21, 96)(22, 93)(23, 75)(24, 78)(25, 72)(26, 74)(27, 81)(28, 83)(29, 84)(30, 77)(31, 86)(32, 82)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E19.485
Graph:: bipartite
	v = 18 e = 64 f = 10
	degree seq :: [ 4^16, 32^2 ]

E19.492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^-1 * Y3 * Y1 * Y3, Y3^4, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1^-3 * Y2, Y1^-1 * Y3^-2 * Y2 * Y1 * Y2, Y2 * Y1 * Y2 * Y3^2 * Y1^-1, Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 20, 52, 12, 44, 25, 57, 31, 63, 29, 61, 15, 47, 28, 60, 32, 64, 30, 62, 14, 46, 27, 59, 19, 51, 5, 37)(3, 35, 11, 43, 21, 53, 16, 48, 4, 36, 10, 42, 22, 54, 17, 49, 26, 58, 8, 40, 24, 56, 18, 50, 6, 38, 9, 41, 23, 55, 13, 45)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 81, 113)(70, 102, 78, 110)(71, 103, 85, 117)(73, 105, 89, 121)(74, 106, 91, 123)(75, 107, 92, 124)(77, 109, 93, 125)(79, 111, 90, 122)(80, 112, 94, 126)(82, 114, 84, 116)(83, 115, 87, 119)(86, 118, 95, 127)(88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 82)(6, 65)(7, 86)(8, 89)(9, 92)(10, 66)(11, 91)(12, 90)(13, 94)(14, 67)(15, 70)(16, 69)(17, 84)(18, 93)(19, 85)(20, 77)(21, 95)(22, 96)(23, 71)(24, 83)(25, 75)(26, 78)(27, 72)(28, 74)(29, 80)(30, 81)(31, 88)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E19.486
Graph:: bipartite
	v = 18 e = 64 f = 10
	degree seq :: [ 4^16, 32^2 ]

E19.493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^4, Y3^-1 * Y2 * Y3 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, Y1^-1 * Y2 * Y1 * Y3^-2 * Y2, Y1^-1 * Y3^-2 * Y2 * Y1 * Y2, Y2 * Y1^2 * Y2 * Y1^-2, Y1^-2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 20, 52, 14, 46, 27, 59, 31, 63, 30, 62, 15, 47, 28, 60, 32, 64, 29, 61, 12, 44, 25, 57, 19, 51, 5, 37)(3, 35, 11, 43, 21, 53, 18, 50, 6, 38, 9, 41, 23, 55, 17, 49, 26, 58, 8, 40, 24, 56, 16, 48, 4, 36, 10, 42, 22, 54, 13, 45)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 81, 113)(70, 102, 78, 110)(71, 103, 85, 117)(73, 105, 89, 121)(74, 106, 91, 123)(75, 107, 92, 124)(77, 109, 94, 126)(79, 111, 90, 122)(80, 112, 84, 116)(82, 114, 93, 125)(83, 115, 86, 118)(87, 119, 95, 127)(88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 82)(6, 65)(7, 86)(8, 89)(9, 92)(10, 66)(11, 91)(12, 90)(13, 84)(14, 67)(15, 70)(16, 69)(17, 93)(18, 94)(19, 88)(20, 81)(21, 83)(22, 96)(23, 71)(24, 95)(25, 75)(26, 78)(27, 72)(28, 74)(29, 77)(30, 80)(31, 85)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E19.487
Graph:: bipartite
	v = 18 e = 64 f = 10
	degree seq :: [ 4^16, 32^2 ]

E19.494 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2 * Y1, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^3 * Y1^-1, Y2 * Y1^-1 * Y2 * Y3, Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2^-1 * Y3 * Y1^-2, Y2 * Y3^-1 * Y1^-1 * Y2^3, Y3^-2 * Y1 * Y3 * Y1 * Y3 * Y2^2, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 22, 54, 20, 52, 7, 39, 12, 44, 25, 57, 32, 64, 31, 63, 18, 50, 4, 36, 10, 42, 23, 55, 14, 46, 5, 37)(3, 35, 13, 45, 6, 38, 17, 49, 24, 56, 16, 48, 30, 62, 19, 51, 27, 59, 9, 41, 26, 58, 11, 43, 29, 61, 21, 53, 28, 60, 15, 47)(65, 97, 67, 99, 78, 110, 92, 124, 74, 106, 93, 125, 82, 114, 90, 122, 96, 128, 91, 123, 76, 108, 94, 126, 84, 116, 88, 120, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 83, 115, 87, 119, 80, 112, 68, 100, 81, 113, 95, 127, 77, 109, 89, 121, 79, 111, 71, 103, 85, 117, 86, 118, 75, 107)
	L = (1, 68)(2, 74)(3, 75)(4, 76)(5, 82)(6, 85)(7, 65)(8, 87)(9, 88)(10, 89)(11, 94)(12, 66)(13, 93)(14, 95)(15, 90)(16, 67)(17, 92)(18, 71)(19, 70)(20, 69)(21, 91)(22, 78)(23, 96)(24, 79)(25, 72)(26, 80)(27, 81)(28, 73)(29, 83)(30, 77)(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, 8, 4, 8, 4, 8, 4, 8, 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 E19.483
Graph:: bipartite
	v = 4 e = 64 f = 24
	degree seq :: [ 32^4 ]

E19.495 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^4, Y1^2 * Y3^2, Y3^-1 * Y1^2 * Y3^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 6, 42, 5, 41)(2, 38, 7, 43, 4, 40, 8, 44)(9, 45, 13, 49, 10, 46, 14, 50)(11, 47, 15, 51, 12, 48, 16, 52)(17, 53, 21, 57, 18, 54, 22, 58)(19, 55, 23, 59, 20, 56, 24, 60)(25, 61, 29, 65, 26, 62, 30, 66)(27, 63, 31, 67, 28, 64, 32, 68)(33, 69, 35, 71, 34, 70, 36, 72)(73, 74, 78, 76)(75, 81, 77, 82)(79, 83, 80, 84)(85, 89, 86, 90)(87, 91, 88, 92)(93, 97, 94, 98)(95, 99, 96, 100)(101, 105, 102, 106)(103, 107, 104, 108)(109, 110, 114, 112)(111, 117, 113, 118)(115, 119, 116, 120)(121, 125, 122, 126)(123, 127, 124, 128)(129, 133, 130, 134)(131, 135, 132, 136)(137, 141, 138, 142)(139, 143, 140, 144)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.497
Graph:: bipartite
	v = 27 e = 72 f = 9
	degree seq :: [ 4^18, 8^9 ]

E19.496 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^4, Y3^4, Y3^-2 * Y1^2, Y3^-1 * Y1^-2 * Y3^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 6, 42, 5, 41)(2, 38, 7, 43, 4, 40, 8, 44)(9, 45, 13, 49, 10, 46, 14, 50)(11, 47, 15, 51, 12, 48, 16, 52)(17, 53, 21, 57, 18, 54, 22, 58)(19, 55, 23, 59, 20, 56, 24, 60)(25, 61, 29, 65, 26, 62, 30, 66)(27, 63, 31, 67, 28, 64, 32, 68)(33, 69, 36, 72, 34, 70, 35, 71)(73, 74, 78, 76)(75, 81, 77, 82)(79, 83, 80, 84)(85, 89, 86, 90)(87, 91, 88, 92)(93, 97, 94, 98)(95, 99, 96, 100)(101, 105, 102, 106)(103, 107, 104, 108)(109, 110, 114, 112)(111, 117, 113, 118)(115, 119, 116, 120)(121, 125, 122, 126)(123, 127, 124, 128)(129, 133, 130, 134)(131, 135, 132, 136)(137, 141, 138, 142)(139, 143, 140, 144)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.498
Graph:: bipartite
	v = 27 e = 72 f = 9
	degree seq :: [ 4^18, 8^9 ]

E19.497 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^4, Y1^2 * Y3^2, Y3^-1 * Y1^2 * Y3^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 3, 39, 75, 111, 6, 42, 78, 114, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 4, 40, 76, 112, 8, 44, 80, 116)(9, 45, 81, 117, 13, 49, 85, 121, 10, 46, 82, 118, 14, 50, 86, 122)(11, 47, 83, 119, 15, 51, 87, 123, 12, 48, 84, 120, 16, 52, 88, 124)(17, 53, 89, 125, 21, 57, 93, 129, 18, 54, 90, 126, 22, 58, 94, 130)(19, 55, 91, 127, 23, 59, 95, 131, 20, 56, 92, 128, 24, 60, 96, 132)(25, 61, 97, 133, 29, 65, 101, 137, 26, 62, 98, 134, 30, 66, 102, 138)(27, 63, 99, 135, 31, 67, 103, 139, 28, 64, 100, 136, 32, 68, 104, 140)(33, 69, 105, 141, 35, 71, 107, 143, 34, 70, 106, 142, 36, 72, 108, 144)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 46)(6, 40)(7, 47)(8, 48)(9, 41)(10, 39)(11, 44)(12, 43)(13, 53)(14, 54)(15, 55)(16, 56)(17, 50)(18, 49)(19, 52)(20, 51)(21, 61)(22, 62)(23, 63)(24, 64)(25, 58)(26, 57)(27, 60)(28, 59)(29, 69)(30, 70)(31, 71)(32, 72)(33, 66)(34, 65)(35, 68)(36, 67)(73, 110)(74, 114)(75, 117)(76, 109)(77, 118)(78, 112)(79, 119)(80, 120)(81, 113)(82, 111)(83, 116)(84, 115)(85, 125)(86, 126)(87, 127)(88, 128)(89, 122)(90, 121)(91, 124)(92, 123)(93, 133)(94, 134)(95, 135)(96, 136)(97, 130)(98, 129)(99, 132)(100, 131)(101, 141)(102, 142)(103, 143)(104, 144)(105, 138)(106, 137)(107, 140)(108, 139)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.495
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 27
	degree seq :: [ 16^9 ]

E19.498 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^4, Y3^4, Y3^-2 * Y1^2, Y3^-1 * Y1^-2 * Y3^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 3, 39, 75, 111, 6, 42, 78, 114, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 4, 40, 76, 112, 8, 44, 80, 116)(9, 45, 81, 117, 13, 49, 85, 121, 10, 46, 82, 118, 14, 50, 86, 122)(11, 47, 83, 119, 15, 51, 87, 123, 12, 48, 84, 120, 16, 52, 88, 124)(17, 53, 89, 125, 21, 57, 93, 129, 18, 54, 90, 126, 22, 58, 94, 130)(19, 55, 91, 127, 23, 59, 95, 131, 20, 56, 92, 128, 24, 60, 96, 132)(25, 61, 97, 133, 29, 65, 101, 137, 26, 62, 98, 134, 30, 66, 102, 138)(27, 63, 99, 135, 31, 67, 103, 139, 28, 64, 100, 136, 32, 68, 104, 140)(33, 69, 105, 141, 36, 72, 108, 144, 34, 70, 106, 142, 35, 71, 107, 143)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 46)(6, 40)(7, 47)(8, 48)(9, 41)(10, 39)(11, 44)(12, 43)(13, 53)(14, 54)(15, 55)(16, 56)(17, 50)(18, 49)(19, 52)(20, 51)(21, 61)(22, 62)(23, 63)(24, 64)(25, 58)(26, 57)(27, 60)(28, 59)(29, 69)(30, 70)(31, 71)(32, 72)(33, 66)(34, 65)(35, 68)(36, 67)(73, 110)(74, 114)(75, 117)(76, 109)(77, 118)(78, 112)(79, 119)(80, 120)(81, 113)(82, 111)(83, 116)(84, 115)(85, 125)(86, 126)(87, 127)(88, 128)(89, 122)(90, 121)(91, 124)(92, 123)(93, 133)(94, 134)(95, 135)(96, 136)(97, 130)(98, 129)(99, 132)(100, 131)(101, 141)(102, 142)(103, 143)(104, 144)(105, 138)(106, 137)(107, 140)(108, 139)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.496
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 27
	degree seq :: [ 16^9 ]

E19.499 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y2^-1 * Y3, Y1 * Y3^-1 * Y1 * Y2^-1, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y3 * Y2^-1 * Y3 * Y1^-1, Y2^4, Y1^4, (Y3^-1 * Y2^-1)^2, R * Y1 * R * Y2, Y3^4, (Y1^-1 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 37, 4, 40, 18, 54, 7, 43)(2, 38, 10, 46, 28, 64, 12, 48)(3, 39, 15, 51, 27, 63, 11, 47)(5, 41, 20, 56, 32, 68, 16, 52)(6, 42, 19, 55, 31, 67, 17, 53)(8, 44, 22, 58, 36, 72, 24, 60)(9, 45, 26, 62, 35, 71, 23, 59)(13, 49, 21, 57, 34, 70, 30, 66)(14, 50, 25, 61, 33, 69, 29, 65)(73, 74, 80, 77)(75, 85, 94, 84)(76, 88, 93, 83)(78, 92, 96, 81)(79, 91, 95, 82)(86, 98, 108, 102)(87, 100, 107, 101)(89, 97, 106, 104)(90, 99, 105, 103)(109, 111, 122, 114)(110, 117, 133, 119)(112, 125, 134, 120)(113, 127, 137, 121)(115, 128, 138, 123)(116, 129, 141, 131)(118, 135, 142, 132)(124, 130, 143, 139)(126, 136, 144, 140)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.503
Graph:: simple bipartite
	v = 27 e = 72 f = 9
	degree seq :: [ 4^18, 8^9 ]

E19.500 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, R * Y2 * R * Y1, Y1^4, (R * Y3)^2, Y3^4, Y2^4, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y3 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 10, 46, 5, 41)(2, 38, 7, 43, 16, 52, 8, 44)(4, 40, 12, 48, 20, 56, 9, 45)(6, 42, 14, 50, 24, 60, 15, 51)(11, 47, 18, 54, 28, 64, 21, 57)(13, 49, 22, 58, 30, 66, 23, 59)(17, 53, 26, 62, 33, 69, 27, 63)(19, 55, 29, 65, 32, 68, 25, 61)(31, 67, 34, 70, 36, 72, 35, 71)(73, 74, 78, 76)(75, 81, 91, 83)(77, 85, 89, 79)(80, 90, 97, 86)(82, 93, 103, 94)(84, 87, 98, 95)(88, 99, 106, 100)(92, 102, 107, 101)(96, 104, 108, 105)(109, 110, 114, 112)(111, 117, 127, 119)(113, 121, 125, 115)(116, 126, 133, 122)(118, 129, 139, 130)(120, 123, 134, 131)(124, 135, 142, 136)(128, 138, 143, 137)(132, 140, 144, 141)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.504
Graph:: simple bipartite
	v = 27 e = 72 f = 9
	degree seq :: [ 4^18, 8^9 ]

E19.501 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y2^4, (R * Y3)^2, Y1^4, R * Y1 * R * Y2, Y3^4, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-1 * Y2 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 18, 54, 7, 43)(2, 38, 10, 46, 27, 63, 12, 48)(3, 39, 11, 47, 28, 64, 15, 51)(5, 41, 19, 55, 32, 68, 17, 53)(6, 42, 20, 56, 31, 67, 16, 52)(8, 44, 22, 58, 35, 71, 24, 60)(9, 45, 23, 59, 36, 72, 26, 62)(13, 49, 29, 65, 34, 70, 21, 57)(14, 50, 30, 66, 33, 69, 25, 61)(73, 74, 80, 77)(75, 85, 96, 82)(76, 88, 95, 84)(78, 89, 94, 81)(79, 91, 93, 83)(86, 98, 107, 101)(87, 99, 108, 102)(90, 100, 105, 103)(92, 97, 106, 104)(109, 111, 122, 114)(110, 117, 133, 119)(112, 125, 137, 123)(113, 124, 138, 121)(115, 128, 134, 118)(116, 129, 141, 131)(120, 136, 142, 130)(126, 135, 143, 140)(127, 132, 144, 139)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.505
Graph:: simple bipartite
	v = 27 e = 72 f = 9
	degree seq :: [ 4^18, 8^9 ]

E19.502 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y3^4, (R * Y3)^2, Y1^4, Y3^-1 * Y2 * Y3^-1 * Y1, R * Y1 * R * Y2, Y2^4, (Y3 * Y1)^3, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 37, 3, 39, 10, 46, 5, 41)(2, 38, 7, 43, 17, 53, 8, 44)(4, 40, 11, 47, 23, 59, 12, 48)(6, 42, 14, 50, 25, 61, 15, 51)(9, 45, 19, 55, 29, 65, 20, 56)(13, 49, 21, 57, 27, 63, 16, 52)(18, 54, 28, 64, 32, 68, 24, 60)(22, 58, 26, 62, 33, 69, 31, 67)(30, 66, 35, 71, 36, 72, 34, 70)(73, 74, 78, 76)(75, 81, 90, 80)(77, 83, 94, 85)(79, 88, 98, 87)(82, 93, 102, 92)(84, 86, 96, 91)(89, 100, 106, 99)(95, 101, 107, 103)(97, 105, 108, 104)(109, 110, 114, 112)(111, 117, 126, 116)(113, 119, 130, 121)(115, 124, 134, 123)(118, 129, 138, 128)(120, 122, 132, 127)(125, 136, 142, 135)(131, 137, 143, 139)(133, 141, 144, 140)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.506
Graph:: simple bipartite
	v = 27 e = 72 f = 9
	degree seq :: [ 4^18, 8^9 ]

E19.503 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y2^-1 * Y3, Y1 * Y3^-1 * Y1 * Y2^-1, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y3 * Y2^-1 * Y3 * Y1^-1, Y2^4, Y1^4, (Y3^-1 * Y2^-1)^2, R * Y1 * R * Y2, Y3^4, (Y1^-1 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 18, 54, 90, 126, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 28, 64, 100, 136, 12, 48, 84, 120)(3, 39, 75, 111, 15, 51, 87, 123, 27, 63, 99, 135, 11, 47, 83, 119)(5, 41, 77, 113, 20, 56, 92, 128, 32, 68, 104, 140, 16, 52, 88, 124)(6, 42, 78, 114, 19, 55, 91, 127, 31, 67, 103, 139, 17, 53, 89, 125)(8, 44, 80, 116, 22, 58, 94, 130, 36, 72, 108, 144, 24, 60, 96, 132)(9, 45, 81, 117, 26, 62, 98, 134, 35, 71, 107, 143, 23, 59, 95, 131)(13, 49, 85, 121, 21, 57, 93, 129, 34, 70, 106, 142, 30, 66, 102, 138)(14, 50, 86, 122, 25, 61, 97, 133, 33, 69, 105, 141, 29, 65, 101, 137)
	L = (1, 38)(2, 44)(3, 49)(4, 52)(5, 37)(6, 56)(7, 55)(8, 41)(9, 42)(10, 43)(11, 40)(12, 39)(13, 58)(14, 62)(15, 64)(16, 57)(17, 61)(18, 63)(19, 59)(20, 60)(21, 47)(22, 48)(23, 46)(24, 45)(25, 70)(26, 72)(27, 69)(28, 71)(29, 51)(30, 50)(31, 54)(32, 53)(33, 67)(34, 68)(35, 65)(36, 66)(73, 111)(74, 117)(75, 122)(76, 125)(77, 127)(78, 109)(79, 128)(80, 129)(81, 133)(82, 135)(83, 110)(84, 112)(85, 113)(86, 114)(87, 115)(88, 130)(89, 134)(90, 136)(91, 137)(92, 138)(93, 141)(94, 143)(95, 116)(96, 118)(97, 119)(98, 120)(99, 142)(100, 144)(101, 121)(102, 123)(103, 124)(104, 126)(105, 131)(106, 132)(107, 139)(108, 140)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.499
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 27
	degree seq :: [ 16^9 ]

E19.504 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, R * Y2 * R * Y1, Y1^4, (R * Y3)^2, Y3^4, Y2^4, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y3 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 3, 39, 75, 111, 10, 46, 82, 118, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 16, 52, 88, 124, 8, 44, 80, 116)(4, 40, 76, 112, 12, 48, 84, 120, 20, 56, 92, 128, 9, 45, 81, 117)(6, 42, 78, 114, 14, 50, 86, 122, 24, 60, 96, 132, 15, 51, 87, 123)(11, 47, 83, 119, 18, 54, 90, 126, 28, 64, 100, 136, 21, 57, 93, 129)(13, 49, 85, 121, 22, 58, 94, 130, 30, 66, 102, 138, 23, 59, 95, 131)(17, 53, 89, 125, 26, 62, 98, 134, 33, 69, 105, 141, 27, 63, 99, 135)(19, 55, 91, 127, 29, 65, 101, 137, 32, 68, 104, 140, 25, 61, 97, 133)(31, 67, 103, 139, 34, 70, 106, 142, 36, 72, 108, 144, 35, 71, 107, 143)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 49)(6, 40)(7, 41)(8, 54)(9, 55)(10, 57)(11, 39)(12, 51)(13, 53)(14, 44)(15, 62)(16, 63)(17, 43)(18, 61)(19, 47)(20, 66)(21, 67)(22, 46)(23, 48)(24, 68)(25, 50)(26, 59)(27, 70)(28, 52)(29, 56)(30, 71)(31, 58)(32, 72)(33, 60)(34, 64)(35, 65)(36, 69)(73, 110)(74, 114)(75, 117)(76, 109)(77, 121)(78, 112)(79, 113)(80, 126)(81, 127)(82, 129)(83, 111)(84, 123)(85, 125)(86, 116)(87, 134)(88, 135)(89, 115)(90, 133)(91, 119)(92, 138)(93, 139)(94, 118)(95, 120)(96, 140)(97, 122)(98, 131)(99, 142)(100, 124)(101, 128)(102, 143)(103, 130)(104, 144)(105, 132)(106, 136)(107, 137)(108, 141)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.500
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 27
	degree seq :: [ 16^9 ]

E19.505 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y2^4, (R * Y3)^2, Y1^4, R * Y1 * R * Y2, Y3^4, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-1 * Y2 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 18, 54, 90, 126, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 27, 63, 99, 135, 12, 48, 84, 120)(3, 39, 75, 111, 11, 47, 83, 119, 28, 64, 100, 136, 15, 51, 87, 123)(5, 41, 77, 113, 19, 55, 91, 127, 32, 68, 104, 140, 17, 53, 89, 125)(6, 42, 78, 114, 20, 56, 92, 128, 31, 67, 103, 139, 16, 52, 88, 124)(8, 44, 80, 116, 22, 58, 94, 130, 35, 71, 107, 143, 24, 60, 96, 132)(9, 45, 81, 117, 23, 59, 95, 131, 36, 72, 108, 144, 26, 62, 98, 134)(13, 49, 85, 121, 29, 65, 101, 137, 34, 70, 106, 142, 21, 57, 93, 129)(14, 50, 86, 122, 30, 66, 102, 138, 33, 69, 105, 141, 25, 61, 97, 133)
	L = (1, 38)(2, 44)(3, 49)(4, 52)(5, 37)(6, 53)(7, 55)(8, 41)(9, 42)(10, 39)(11, 43)(12, 40)(13, 60)(14, 62)(15, 63)(16, 59)(17, 58)(18, 64)(19, 57)(20, 61)(21, 47)(22, 45)(23, 48)(24, 46)(25, 70)(26, 71)(27, 72)(28, 69)(29, 50)(30, 51)(31, 54)(32, 56)(33, 67)(34, 68)(35, 65)(36, 66)(73, 111)(74, 117)(75, 122)(76, 125)(77, 124)(78, 109)(79, 128)(80, 129)(81, 133)(82, 115)(83, 110)(84, 136)(85, 113)(86, 114)(87, 112)(88, 138)(89, 137)(90, 135)(91, 132)(92, 134)(93, 141)(94, 120)(95, 116)(96, 144)(97, 119)(98, 118)(99, 143)(100, 142)(101, 123)(102, 121)(103, 127)(104, 126)(105, 131)(106, 130)(107, 140)(108, 139)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.501
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 27
	degree seq :: [ 16^9 ]

E19.506 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y3^4, (R * Y3)^2, Y1^4, Y3^-1 * Y2 * Y3^-1 * Y1, R * Y1 * R * Y2, Y2^4, (Y3 * Y1)^3, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 37, 73, 109, 3, 39, 75, 111, 10, 46, 82, 118, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 17, 53, 89, 125, 8, 44, 80, 116)(4, 40, 76, 112, 11, 47, 83, 119, 23, 59, 95, 131, 12, 48, 84, 120)(6, 42, 78, 114, 14, 50, 86, 122, 25, 61, 97, 133, 15, 51, 87, 123)(9, 45, 81, 117, 19, 55, 91, 127, 29, 65, 101, 137, 20, 56, 92, 128)(13, 49, 85, 121, 21, 57, 93, 129, 27, 63, 99, 135, 16, 52, 88, 124)(18, 54, 90, 126, 28, 64, 100, 136, 32, 68, 104, 140, 24, 60, 96, 132)(22, 58, 94, 130, 26, 62, 98, 134, 33, 69, 105, 141, 31, 67, 103, 139)(30, 66, 102, 138, 35, 71, 107, 143, 36, 72, 108, 144, 34, 70, 106, 142)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 47)(6, 40)(7, 52)(8, 39)(9, 54)(10, 57)(11, 58)(12, 50)(13, 41)(14, 60)(15, 43)(16, 62)(17, 64)(18, 44)(19, 48)(20, 46)(21, 66)(22, 49)(23, 65)(24, 55)(25, 69)(26, 51)(27, 53)(28, 70)(29, 71)(30, 56)(31, 59)(32, 61)(33, 72)(34, 63)(35, 67)(36, 68)(73, 110)(74, 114)(75, 117)(76, 109)(77, 119)(78, 112)(79, 124)(80, 111)(81, 126)(82, 129)(83, 130)(84, 122)(85, 113)(86, 132)(87, 115)(88, 134)(89, 136)(90, 116)(91, 120)(92, 118)(93, 138)(94, 121)(95, 137)(96, 127)(97, 141)(98, 123)(99, 125)(100, 142)(101, 143)(102, 128)(103, 131)(104, 133)(105, 144)(106, 135)(107, 139)(108, 140)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.502
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 27
	degree seq :: [ 16^9 ]

E19.507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-1 * Y3 * Y2^-1, (Y1 * Y2)^2, (Y1 * Y2)^2, Y1^4, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^3, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 5, 41)(3, 39, 11, 47, 25, 61, 12, 48)(4, 40, 13, 49, 26, 62, 14, 50)(6, 42, 17, 53, 21, 57, 8, 44)(9, 45, 22, 58, 34, 70, 23, 59)(10, 46, 24, 60, 30, 66, 18, 54)(15, 51, 20, 56, 33, 69, 28, 64)(16, 52, 27, 63, 36, 72, 29, 65)(19, 55, 31, 67, 35, 71, 32, 68)(73, 109, 75, 111, 76, 112, 78, 114)(74, 110, 80, 116, 81, 117, 82, 118)(77, 113, 87, 123, 88, 124, 83, 119)(79, 115, 90, 126, 91, 127, 92, 128)(84, 120, 96, 132, 95, 131, 85, 121)(86, 122, 99, 135, 100, 136, 89, 125)(93, 129, 105, 141, 104, 140, 94, 130)(97, 133, 101, 137, 103, 139, 102, 138)(98, 134, 106, 142, 107, 143, 108, 144)
	L = (1, 76)(2, 81)(3, 78)(4, 73)(5, 88)(6, 75)(7, 91)(8, 82)(9, 74)(10, 80)(11, 87)(12, 95)(13, 96)(14, 100)(15, 83)(16, 77)(17, 99)(18, 92)(19, 79)(20, 90)(21, 104)(22, 105)(23, 84)(24, 85)(25, 103)(26, 107)(27, 89)(28, 86)(29, 102)(30, 101)(31, 97)(32, 93)(33, 94)(34, 108)(35, 98)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.508 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-1 * Y3 * Y2^-1, Y2 * Y3 * Y2, (Y1 * Y2^-1)^2, Y1^4, (Y1^-1 * Y2)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1)^3, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 5, 41)(3, 39, 11, 47, 24, 60, 10, 46)(4, 40, 12, 48, 27, 63, 13, 49)(6, 42, 14, 50, 28, 64, 17, 53)(8, 44, 21, 57, 33, 69, 20, 56)(9, 45, 22, 58, 34, 70, 23, 59)(15, 51, 26, 62, 35, 71, 29, 65)(16, 52, 18, 54, 30, 66, 25, 61)(19, 55, 31, 67, 36, 72, 32, 68)(73, 109, 75, 111, 76, 112, 78, 114)(74, 110, 80, 116, 81, 117, 82, 118)(77, 113, 86, 122, 87, 123, 88, 124)(79, 115, 90, 126, 91, 127, 92, 128)(83, 119, 97, 133, 98, 134, 85, 121)(84, 120, 95, 131, 93, 129, 89, 125)(94, 130, 104, 140, 102, 138, 96, 132)(99, 135, 107, 143, 108, 144, 106, 142)(100, 136, 105, 141, 103, 139, 101, 137)
	L = (1, 76)(2, 81)(3, 78)(4, 73)(5, 87)(6, 75)(7, 91)(8, 82)(9, 74)(10, 80)(11, 98)(12, 93)(13, 97)(14, 88)(15, 77)(16, 86)(17, 95)(18, 92)(19, 79)(20, 90)(21, 84)(22, 102)(23, 89)(24, 104)(25, 85)(26, 83)(27, 108)(28, 103)(29, 105)(30, 94)(31, 100)(32, 96)(33, 101)(34, 107)(35, 106)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.509 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 4, 4, 6})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, R * Y2 * R * Y1, Y2^4, (R * Y3)^2, Y1^4, Y1^-1 * Y3^3 * Y1^-1, Y2 * Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2, Y1^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 10, 46, 6, 42, 16, 52, 5, 41)(2, 38, 7, 43, 13, 49, 4, 40, 12, 48, 8, 44)(9, 45, 21, 57, 24, 60, 11, 47, 23, 59, 22, 58)(14, 50, 25, 61, 28, 64, 15, 51, 27, 63, 26, 62)(17, 53, 29, 65, 32, 68, 18, 54, 31, 67, 30, 66)(19, 55, 33, 69, 36, 72, 20, 56, 35, 71, 34, 70)(73, 74, 78, 76)(75, 81, 88, 83)(77, 86, 82, 87)(79, 89, 84, 90)(80, 91, 85, 92)(93, 101, 95, 103)(94, 105, 96, 107)(97, 102, 99, 104)(98, 106, 100, 108)(109, 110, 114, 112)(111, 117, 124, 119)(113, 122, 118, 123)(115, 125, 120, 126)(116, 127, 121, 128)(129, 137, 131, 139)(130, 141, 132, 143)(133, 138, 135, 140)(134, 142, 136, 144)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.512
Graph:: bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.510 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 4, 4, 6})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^3, Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y1 * Y3 * Y1^2 * Y3^-1 * Y1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 5, 41)(2, 38, 7, 43, 8, 44)(4, 40, 11, 47, 12, 48)(6, 42, 15, 51, 16, 52)(9, 45, 21, 57, 22, 58)(10, 46, 23, 59, 24, 60)(13, 49, 25, 61, 26, 62)(14, 50, 27, 63, 28, 64)(17, 53, 29, 65, 30, 66)(18, 54, 31, 67, 32, 68)(19, 55, 33, 69, 34, 70)(20, 56, 35, 71, 36, 72)(73, 74, 78, 76)(75, 81, 87, 82)(77, 85, 88, 86)(79, 89, 83, 90)(80, 91, 84, 92)(93, 101, 95, 103)(94, 105, 96, 107)(97, 102, 99, 104)(98, 106, 100, 108)(109, 110, 114, 112)(111, 117, 123, 118)(113, 121, 124, 122)(115, 125, 119, 126)(116, 127, 120, 128)(129, 137, 131, 139)(130, 141, 132, 143)(133, 138, 135, 140)(134, 142, 136, 144)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E19.511
Graph:: simple bipartite
	v = 30 e = 72 f = 6
	degree seq :: [ 4^18, 6^12 ]

E19.511 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 4, 4, 6})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, R * Y2 * R * Y1, Y2^4, (R * Y3)^2, Y1^4, Y1^-1 * Y3^3 * Y1^-1, Y2 * Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2, Y1^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 3, 39, 75, 111, 10, 46, 82, 118, 6, 42, 78, 114, 16, 52, 88, 124, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 13, 49, 85, 121, 4, 40, 76, 112, 12, 48, 84, 120, 8, 44, 80, 116)(9, 45, 81, 117, 21, 57, 93, 129, 24, 60, 96, 132, 11, 47, 83, 119, 23, 59, 95, 131, 22, 58, 94, 130)(14, 50, 86, 122, 25, 61, 97, 133, 28, 64, 100, 136, 15, 51, 87, 123, 27, 63, 99, 135, 26, 62, 98, 134)(17, 53, 89, 125, 29, 65, 101, 137, 32, 68, 104, 140, 18, 54, 90, 126, 31, 67, 103, 139, 30, 66, 102, 138)(19, 55, 91, 127, 33, 69, 105, 141, 36, 72, 108, 144, 20, 56, 92, 128, 35, 71, 107, 143, 34, 70, 106, 142)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 50)(6, 40)(7, 53)(8, 55)(9, 52)(10, 51)(11, 39)(12, 54)(13, 56)(14, 46)(15, 41)(16, 47)(17, 48)(18, 43)(19, 49)(20, 44)(21, 65)(22, 69)(23, 67)(24, 71)(25, 66)(26, 70)(27, 68)(28, 72)(29, 59)(30, 63)(31, 57)(32, 61)(33, 60)(34, 64)(35, 58)(36, 62)(73, 110)(74, 114)(75, 117)(76, 109)(77, 122)(78, 112)(79, 125)(80, 127)(81, 124)(82, 123)(83, 111)(84, 126)(85, 128)(86, 118)(87, 113)(88, 119)(89, 120)(90, 115)(91, 121)(92, 116)(93, 137)(94, 141)(95, 139)(96, 143)(97, 138)(98, 142)(99, 140)(100, 144)(101, 131)(102, 135)(103, 129)(104, 133)(105, 132)(106, 136)(107, 130)(108, 134)
	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 E19.510
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 30
	degree seq :: [ 24^6 ]

E19.512 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 4, 4, 6})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^3, Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y1 * Y3 * Y1^2 * Y3^-1 * Y1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 3, 39, 75, 111, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 8, 44, 80, 116)(4, 40, 76, 112, 11, 47, 83, 119, 12, 48, 84, 120)(6, 42, 78, 114, 15, 51, 87, 123, 16, 52, 88, 124)(9, 45, 81, 117, 21, 57, 93, 129, 22, 58, 94, 130)(10, 46, 82, 118, 23, 59, 95, 131, 24, 60, 96, 132)(13, 49, 85, 121, 25, 61, 97, 133, 26, 62, 98, 134)(14, 50, 86, 122, 27, 63, 99, 135, 28, 64, 100, 136)(17, 53, 89, 125, 29, 65, 101, 137, 30, 66, 102, 138)(18, 54, 90, 126, 31, 67, 103, 139, 32, 68, 104, 140)(19, 55, 91, 127, 33, 69, 105, 141, 34, 70, 106, 142)(20, 56, 92, 128, 35, 71, 107, 143, 36, 72, 108, 144)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 49)(6, 40)(7, 53)(8, 55)(9, 51)(10, 39)(11, 54)(12, 56)(13, 52)(14, 41)(15, 46)(16, 50)(17, 47)(18, 43)(19, 48)(20, 44)(21, 65)(22, 69)(23, 67)(24, 71)(25, 66)(26, 70)(27, 68)(28, 72)(29, 59)(30, 63)(31, 57)(32, 61)(33, 60)(34, 64)(35, 58)(36, 62)(73, 110)(74, 114)(75, 117)(76, 109)(77, 121)(78, 112)(79, 125)(80, 127)(81, 123)(82, 111)(83, 126)(84, 128)(85, 124)(86, 113)(87, 118)(88, 122)(89, 119)(90, 115)(91, 120)(92, 116)(93, 137)(94, 141)(95, 139)(96, 143)(97, 138)(98, 142)(99, 140)(100, 144)(101, 131)(102, 135)(103, 129)(104, 133)(105, 132)(106, 136)(107, 130)(108, 134)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.509
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.513 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y3 * Y2, Y1^3, Y1 * Y3 * Y1^-1 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 10, 46, 11, 47)(4, 40, 8, 44, 12, 48)(6, 42, 15, 51, 16, 52)(7, 43, 17, 53, 18, 54)(9, 45, 19, 55, 20, 56)(13, 49, 25, 61, 26, 62)(14, 50, 27, 63, 28, 64)(21, 57, 29, 65, 33, 69)(22, 58, 30, 66, 34, 70)(23, 59, 31, 67, 35, 71)(24, 60, 32, 68, 36, 72)(73, 109, 75, 111, 76, 112, 78, 114)(74, 110, 79, 115, 80, 116, 81, 117)(77, 113, 85, 121, 84, 120, 86, 122)(82, 118, 93, 129, 87, 123, 94, 130)(83, 119, 95, 131, 88, 124, 96, 132)(89, 125, 101, 137, 91, 127, 102, 138)(90, 126, 103, 139, 92, 128, 104, 140)(97, 133, 105, 141, 99, 135, 106, 142)(98, 134, 107, 143, 100, 136, 108, 144)
	L = (1, 76)(2, 80)(3, 78)(4, 73)(5, 84)(6, 75)(7, 81)(8, 74)(9, 79)(10, 87)(11, 88)(12, 77)(13, 86)(14, 85)(15, 82)(16, 83)(17, 91)(18, 92)(19, 89)(20, 90)(21, 94)(22, 93)(23, 96)(24, 95)(25, 99)(26, 100)(27, 97)(28, 98)(29, 102)(30, 101)(31, 104)(32, 103)(33, 106)(34, 105)(35, 108)(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, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.518
Graph:: bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 6^12, 8^9 ]

E19.514 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (Y3, Y1), Y2^4, R * Y2 * Y3 * R * Y2^-1, Y2^-2 * Y3^-3, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 19, 55)(7, 43, 11, 47, 20, 56)(12, 48, 23, 59, 30, 66)(13, 49, 24, 60, 31, 67)(15, 51, 25, 61, 32, 68)(16, 52, 26, 62, 33, 69)(18, 54, 27, 63, 34, 70)(21, 57, 28, 64, 35, 71)(22, 58, 29, 65, 36, 72)(73, 109, 75, 111, 84, 120, 78, 114)(74, 110, 80, 116, 95, 131, 82, 118)(76, 112, 87, 123, 94, 130, 90, 126)(77, 113, 86, 122, 102, 138, 91, 127)(79, 115, 85, 121, 88, 124, 93, 129)(81, 117, 97, 133, 101, 137, 99, 135)(83, 119, 96, 132, 98, 134, 100, 136)(89, 125, 104, 140, 108, 144, 106, 142)(92, 128, 103, 139, 105, 141, 107, 143)
	L = (1, 76)(2, 81)(3, 85)(4, 88)(5, 89)(6, 93)(7, 73)(8, 96)(9, 98)(10, 100)(11, 74)(12, 94)(13, 90)(14, 103)(15, 75)(16, 84)(17, 105)(18, 78)(19, 107)(20, 77)(21, 87)(22, 79)(23, 101)(24, 99)(25, 80)(26, 95)(27, 82)(28, 97)(29, 83)(30, 108)(31, 106)(32, 86)(33, 102)(34, 91)(35, 104)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.519
Graph:: simple bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 6^12, 8^9 ]

E19.515 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3 * Y2^-1 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, Y2^4, (Y3^-1, Y1^-1), R * Y2 * Y3 * R * Y2^-1, Y3 * Y2 * Y1^-1 * Y2 * Y1, Y3^-2 * Y2^2 * Y3^-1, Y1^-1 * Y3^2 * Y2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 15, 51)(4, 40, 9, 45, 18, 54)(6, 42, 23, 59, 25, 61)(7, 43, 11, 47, 22, 58)(8, 44, 27, 63, 24, 60)(10, 46, 31, 67, 14, 50)(13, 49, 28, 64, 34, 70)(16, 52, 29, 65, 21, 57)(17, 53, 30, 66, 35, 71)(19, 55, 32, 68, 20, 56)(26, 62, 33, 69, 36, 72)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 100, 136, 82, 118)(76, 112, 88, 124, 98, 134, 91, 127)(77, 113, 92, 128, 106, 142, 93, 129)(79, 115, 86, 122, 89, 125, 96, 132)(81, 117, 95, 131, 105, 141, 84, 120)(83, 119, 101, 137, 102, 138, 104, 140)(87, 123, 94, 130, 97, 133, 107, 143)(90, 126, 103, 139, 108, 144, 99, 135)
	L = (1, 76)(2, 81)(3, 86)(4, 89)(5, 90)(6, 96)(7, 73)(8, 101)(9, 102)(10, 104)(11, 74)(12, 82)(13, 98)(14, 91)(15, 103)(16, 75)(17, 85)(18, 107)(19, 78)(20, 97)(21, 87)(22, 77)(23, 80)(24, 88)(25, 99)(26, 79)(27, 93)(28, 105)(29, 84)(30, 100)(31, 92)(32, 95)(33, 83)(34, 108)(35, 106)(36, 94)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.520
Graph:: simple bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 6^12, 8^9 ]

E19.516 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y2^4, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, R * Y2 * Y3 * R * Y2^-1, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1, Y2^-2 * Y3^-3, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 15, 51)(4, 40, 9, 45, 18, 54)(6, 42, 23, 59, 25, 61)(7, 43, 11, 47, 22, 58)(8, 44, 27, 63, 19, 55)(10, 46, 32, 68, 16, 52)(13, 49, 28, 64, 34, 70)(14, 50, 29, 65, 21, 57)(17, 53, 30, 66, 36, 72)(20, 56, 24, 60, 31, 67)(26, 62, 33, 69, 35, 71)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 100, 136, 82, 118)(76, 112, 88, 124, 98, 134, 91, 127)(77, 113, 92, 128, 106, 142, 93, 129)(79, 115, 86, 122, 89, 125, 96, 132)(81, 117, 101, 137, 105, 141, 103, 139)(83, 119, 95, 131, 102, 138, 84, 120)(87, 123, 90, 126, 97, 133, 107, 143)(94, 130, 104, 140, 108, 144, 99, 135)
	L = (1, 76)(2, 81)(3, 86)(4, 89)(5, 90)(6, 96)(7, 73)(8, 95)(9, 102)(10, 84)(11, 74)(12, 101)(13, 98)(14, 91)(15, 93)(16, 75)(17, 85)(18, 108)(19, 78)(20, 104)(21, 99)(22, 77)(23, 103)(24, 88)(25, 92)(26, 79)(27, 97)(28, 105)(29, 80)(30, 100)(31, 82)(32, 87)(33, 83)(34, 107)(35, 94)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.517
Graph:: simple bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 6^12, 8^9 ]

E19.517 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y2^-1), Y1 * Y3^-1 * Y1^-1 * Y3^-1, (Y2, Y3^-1), Y1^2 * Y2^-3, Y1^-2 * Y3^3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 22, 58, 15, 51)(4, 40, 12, 48, 24, 60, 18, 54)(6, 42, 11, 47, 13, 49, 21, 57)(7, 43, 10, 46, 17, 53, 20, 56)(14, 50, 26, 62, 34, 70, 32, 68)(16, 52, 25, 61, 31, 67, 33, 69)(19, 55, 28, 64, 29, 65, 35, 71)(23, 59, 27, 63, 30, 66, 36, 72)(73, 109, 75, 111, 85, 121, 80, 116, 94, 130, 78, 114)(74, 110, 81, 117, 93, 129, 77, 113, 87, 123, 83, 119)(76, 112, 86, 122, 101, 137, 96, 132, 106, 142, 91, 127)(79, 115, 88, 124, 102, 138, 89, 125, 103, 139, 95, 131)(82, 118, 97, 133, 108, 144, 92, 128, 105, 141, 99, 135)(84, 120, 98, 134, 107, 143, 90, 126, 104, 140, 100, 136)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 92)(6, 91)(7, 73)(8, 96)(9, 97)(10, 90)(11, 99)(12, 74)(13, 101)(14, 103)(15, 105)(16, 75)(17, 80)(18, 77)(19, 102)(20, 84)(21, 108)(22, 106)(23, 78)(24, 79)(25, 104)(26, 81)(27, 107)(28, 83)(29, 95)(30, 85)(31, 94)(32, 87)(33, 98)(34, 88)(35, 93)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.516
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 8^9, 12^6 ]

E19.518 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y3 * Y1, Y2^3 * Y3, Y2 * Y3 * Y2^-1 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 5, 41)(3, 39, 9, 45, 11, 47, 12, 48)(6, 42, 15, 51, 10, 46, 16, 52)(7, 43, 17, 53, 13, 49, 18, 54)(8, 44, 19, 55, 14, 50, 20, 56)(21, 57, 29, 65, 23, 59, 31, 67)(22, 58, 33, 69, 24, 60, 35, 71)(25, 61, 30, 66, 27, 63, 32, 68)(26, 62, 34, 70, 28, 64, 36, 72)(73, 109, 75, 111, 82, 118, 76, 112, 83, 119, 78, 114)(74, 110, 79, 115, 86, 122, 77, 113, 85, 121, 80, 116)(81, 117, 93, 129, 96, 132, 84, 120, 95, 131, 94, 130)(87, 123, 97, 133, 100, 136, 88, 124, 99, 135, 98, 134)(89, 125, 101, 137, 104, 140, 90, 126, 103, 139, 102, 138)(91, 127, 105, 141, 108, 144, 92, 128, 107, 143, 106, 142)
	L = (1, 76)(2, 77)(3, 83)(4, 73)(5, 74)(6, 82)(7, 85)(8, 86)(9, 84)(10, 78)(11, 75)(12, 81)(13, 79)(14, 80)(15, 88)(16, 87)(17, 90)(18, 89)(19, 92)(20, 91)(21, 95)(22, 96)(23, 93)(24, 94)(25, 99)(26, 100)(27, 97)(28, 98)(29, 103)(30, 104)(31, 101)(32, 102)(33, 107)(34, 108)(35, 105)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.513
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 8^9, 12^6 ]

E19.519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, (R * Y2)^2, (R * Y3)^2, (Y3, Y2^-1), (R * Y1)^2, Y1^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^-2 * Y3^-3, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1, Y1^-2 * Y2^3, (Y2 * Y3^-1)^3, Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 13, 49, 26, 62, 16, 52)(4, 40, 12, 48, 28, 64, 19, 55)(6, 42, 24, 60, 14, 50, 25, 61)(7, 43, 10, 46, 18, 54, 22, 58)(9, 45, 15, 51, 21, 57, 29, 65)(11, 47, 27, 63, 23, 59, 32, 68)(17, 53, 30, 66, 34, 70, 36, 72)(20, 56, 31, 67, 33, 69, 35, 71)(73, 109, 75, 111, 86, 122, 80, 116, 98, 134, 78, 114)(74, 110, 81, 117, 95, 131, 77, 113, 93, 129, 83, 119)(76, 112, 87, 123, 105, 141, 100, 136, 101, 137, 92, 128)(79, 115, 89, 125, 104, 140, 90, 126, 106, 142, 99, 135)(82, 118, 88, 124, 107, 143, 94, 130, 85, 121, 103, 139)(84, 120, 102, 138, 96, 132, 91, 127, 108, 144, 97, 133)
	L = (1, 76)(2, 82)(3, 87)(4, 90)(5, 94)(6, 92)(7, 73)(8, 100)(9, 88)(10, 91)(11, 103)(12, 74)(13, 102)(14, 105)(15, 106)(16, 108)(17, 75)(18, 80)(19, 77)(20, 104)(21, 85)(22, 84)(23, 107)(24, 95)(25, 83)(26, 101)(27, 78)(28, 79)(29, 89)(30, 81)(31, 96)(32, 86)(33, 99)(34, 98)(35, 97)(36, 93)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.514
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 8^9, 12^6 ]

E19.520 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y3^-1), Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y1^4, Y1^-2 * Y3^-3, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y1 * Y3^-2 * Y1 * Y3, Y1^-2 * Y2^3, Y3 * Y1 * Y2 * Y1 * Y2^-1, (Y2^-1 * Y3)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 13, 49, 26, 62, 16, 52)(4, 40, 12, 48, 28, 64, 19, 55)(6, 42, 24, 60, 14, 50, 25, 61)(7, 43, 10, 46, 18, 54, 22, 58)(9, 45, 17, 53, 21, 57, 30, 66)(11, 47, 20, 56, 23, 59, 31, 67)(15, 51, 29, 65, 36, 72, 34, 70)(27, 63, 32, 68, 33, 69, 35, 71)(73, 109, 75, 111, 86, 122, 80, 116, 98, 134, 78, 114)(74, 110, 81, 117, 95, 131, 77, 113, 93, 129, 83, 119)(76, 112, 87, 123, 103, 139, 100, 136, 108, 144, 92, 128)(79, 115, 89, 125, 105, 141, 90, 126, 102, 138, 99, 135)(82, 118, 101, 137, 96, 132, 94, 130, 106, 142, 97, 133)(84, 120, 88, 124, 107, 143, 91, 127, 85, 121, 104, 140)
	L = (1, 76)(2, 82)(3, 87)(4, 90)(5, 94)(6, 92)(7, 73)(8, 100)(9, 101)(10, 91)(11, 97)(12, 74)(13, 93)(14, 103)(15, 102)(16, 81)(17, 75)(18, 80)(19, 77)(20, 105)(21, 106)(22, 84)(23, 96)(24, 104)(25, 107)(26, 108)(27, 78)(28, 79)(29, 85)(30, 98)(31, 99)(32, 83)(33, 86)(34, 88)(35, 95)(36, 89)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.515
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 8^9, 12^6 ]

E19.521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x C3) : C4 (small group id <36, 7>)
Aut   = (C6 x C6) : C2 (small group id <72, 35>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y3, (R * Y1)^2, (Y3, Y1), Y2^4, Y2 * Y1^-1 * Y2^-1 * Y1^-1, R * Y2 * Y3 * R * Y2^-1, Y3^-2 * Y2^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 8, 44)(4, 40, 9, 45, 17, 53)(6, 42, 19, 55, 10, 46)(7, 43, 11, 47, 20, 56)(13, 49, 23, 59, 30, 66)(14, 50, 31, 67, 24, 60)(15, 51, 32, 68, 25, 61)(16, 52, 26, 62, 33, 69)(18, 54, 34, 70, 27, 63)(21, 57, 35, 71, 28, 64)(22, 58, 29, 65, 36, 72)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 95, 131, 82, 118)(76, 112, 87, 123, 94, 130, 90, 126)(77, 113, 84, 120, 102, 138, 91, 127)(79, 115, 86, 122, 88, 124, 93, 129)(81, 117, 97, 133, 101, 137, 99, 135)(83, 119, 96, 132, 98, 134, 100, 136)(89, 125, 104, 140, 108, 144, 106, 142)(92, 128, 103, 139, 105, 141, 107, 143)
	L = (1, 76)(2, 81)(3, 86)(4, 88)(5, 89)(6, 93)(7, 73)(8, 96)(9, 98)(10, 100)(11, 74)(12, 103)(13, 94)(14, 90)(15, 75)(16, 85)(17, 105)(18, 78)(19, 107)(20, 77)(21, 87)(22, 79)(23, 101)(24, 99)(25, 80)(26, 95)(27, 82)(28, 97)(29, 83)(30, 108)(31, 106)(32, 84)(33, 102)(34, 91)(35, 104)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.522
Graph:: simple bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 6^12, 8^9 ]

E19.522 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x C3) : C4 (small group id <36, 7>)
Aut   = (C6 x C6) : C2 (small group id <72, 35>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y2)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, (Y2, Y3^-1), Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, Y1^-2 * Y3^3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 22, 58, 15, 51)(4, 40, 12, 48, 24, 60, 18, 54)(6, 42, 9, 45, 13, 49, 20, 56)(7, 43, 10, 46, 17, 53, 21, 57)(14, 50, 28, 64, 34, 70, 32, 68)(16, 52, 27, 63, 31, 67, 33, 69)(19, 55, 26, 62, 29, 65, 35, 71)(23, 59, 25, 61, 30, 66, 36, 72)(73, 109, 75, 111, 85, 121, 80, 116, 94, 130, 78, 114)(74, 110, 81, 117, 87, 123, 77, 113, 92, 128, 83, 119)(76, 112, 86, 122, 101, 137, 96, 132, 106, 142, 91, 127)(79, 115, 88, 124, 102, 138, 89, 125, 103, 139, 95, 131)(82, 118, 97, 133, 105, 141, 93, 129, 108, 144, 99, 135)(84, 120, 98, 134, 104, 140, 90, 126, 107, 143, 100, 136)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 93)(6, 91)(7, 73)(8, 96)(9, 97)(10, 90)(11, 99)(12, 74)(13, 101)(14, 103)(15, 105)(16, 75)(17, 80)(18, 77)(19, 102)(20, 108)(21, 84)(22, 106)(23, 78)(24, 79)(25, 107)(26, 81)(27, 104)(28, 83)(29, 95)(30, 85)(31, 94)(32, 87)(33, 100)(34, 88)(35, 92)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.521
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 8^9, 12^6 ]

E19.523 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x A4 (small group id <36, 11>)
Aut   = A4 x S3 (small group id <72, 44>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y1 * Y2^-2, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 12, 48, 30, 66, 15, 51, 5, 41)(2, 38, 6, 42, 18, 54, 33, 69, 21, 57, 7, 43)(3, 39, 8, 44, 24, 60, 36, 72, 27, 63, 9, 45)(10, 46, 26, 62, 35, 71, 23, 59, 13, 49, 28, 64)(11, 47, 19, 55, 31, 67, 16, 52, 14, 50, 29, 65)(17, 53, 25, 61, 34, 70, 22, 58, 20, 56, 32, 68)(73, 74, 75)(76, 82, 83)(77, 85, 86)(78, 88, 89)(79, 91, 92)(80, 94, 95)(81, 97, 98)(84, 90, 96)(87, 93, 99)(100, 108, 104)(101, 106, 105)(102, 107, 103)(109, 111, 110)(112, 119, 118)(113, 122, 121)(114, 125, 124)(115, 128, 127)(116, 131, 130)(117, 134, 133)(120, 132, 126)(123, 135, 129)(136, 140, 144)(137, 141, 142)(138, 139, 143)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.527
Graph:: simple bipartite
	v = 30 e = 72 f = 6
	degree seq :: [ 3^24, 12^6 ]

E19.524 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x A4 (small group id <36, 11>)
Aut   = A4 x S3 (small group id <72, 44>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1, Y2), (R * Y3)^2, Y3 * Y2 * Y1 * Y3, Y3^-2 * Y2^-1 * Y1^-1, R * Y1 * R * Y2, Y2^-1 * Y1^-1 * Y3^4, (Y3^-1 * Y2)^3, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 17, 53, 24, 60, 8, 44, 7, 43)(2, 38, 9, 45, 6, 42, 21, 57, 13, 49, 11, 47)(3, 39, 12, 48, 5, 41, 20, 56, 10, 46, 14, 50)(15, 51, 33, 69, 19, 55, 36, 72, 22, 58, 32, 68)(16, 52, 28, 64, 18, 54, 29, 65, 23, 59, 25, 61)(26, 62, 35, 71, 27, 63, 31, 67, 30, 66, 34, 70)(73, 74, 77)(75, 80, 85)(76, 87, 90)(78, 82, 89)(79, 94, 88)(81, 97, 99)(83, 101, 98)(84, 103, 105)(86, 107, 104)(91, 95, 96)(92, 106, 108)(93, 100, 102)(109, 111, 114)(110, 116, 118)(112, 124, 127)(113, 121, 125)(115, 131, 123)(117, 134, 136)(119, 138, 133)(120, 140, 142)(122, 144, 139)(126, 130, 132)(128, 141, 143)(129, 135, 137)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.528
Graph:: simple bipartite
	v = 30 e = 72 f = 6
	degree seq :: [ 3^24, 12^6 ]

E19.525 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x A4 (small group id <36, 11>)
Aut   = C3 x S4 (small group id <72, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^-2 * Y1^-2, R * Y1 * R * Y2, (Y1, Y2^-1), Y2^-1 * Y3 * Y1^-1 * Y3^-1, (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y1 * Y3^-1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y1^6, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 7, 43)(2, 38, 10, 46, 12, 48)(3, 39, 14, 50, 16, 52)(5, 41, 20, 56, 21, 57)(6, 42, 17, 53, 22, 58)(8, 44, 26, 62, 28, 64)(9, 45, 29, 65, 30, 66)(11, 47, 18, 54, 24, 60)(13, 49, 33, 69, 34, 70)(15, 51, 19, 55, 23, 59)(25, 61, 35, 71, 36, 72)(27, 63, 31, 67, 32, 68)(73, 74, 80, 97, 85, 77)(75, 81, 78, 83, 99, 87)(76, 89, 98, 103, 105, 86)(79, 95, 100, 102, 106, 96)(82, 90, 107, 91, 92, 101)(84, 88, 108, 94, 93, 104)(109, 111, 121, 135, 116, 114)(110, 117, 113, 123, 133, 119)(112, 126, 141, 137, 134, 127)(115, 129, 142, 144, 136, 120)(118, 139, 128, 125, 143, 122)(124, 131, 140, 132, 130, 138)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E19.529
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 6^24 ]

E19.526 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x A4 (small group id <36, 11>)
Aut   = (C3 x A4) : C2 (small group id <72, 43>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^-2 * Y1^2, (R * Y3)^2, Y2 * Y3 * Y1^-1 * Y3^-1, R * Y1 * R * Y2, (Y2^-1, Y1), Y2 * Y1 * Y3^-1 * Y1 * Y3, Y3 * Y2^2 * Y3^-1 * Y1^-2, Y2^6, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 37, 4, 40, 7, 43)(2, 38, 10, 46, 12, 48)(3, 39, 13, 49, 14, 50)(5, 41, 18, 54, 21, 57)(6, 42, 16, 52, 22, 58)(8, 44, 27, 63, 28, 64)(9, 45, 17, 53, 24, 60)(11, 47, 29, 65, 31, 67)(15, 51, 23, 59, 20, 56)(19, 55, 35, 71, 36, 72)(25, 61, 33, 69, 34, 70)(26, 62, 30, 66, 32, 68)(73, 74, 80, 97, 91, 77)(75, 81, 98, 92, 78, 83)(76, 85, 99, 102, 107, 88)(79, 95, 100, 103, 108, 96)(82, 89, 105, 87, 90, 101)(84, 94, 106, 86, 93, 104)(109, 111, 116, 134, 127, 114)(110, 117, 133, 128, 113, 119)(112, 123, 135, 137, 143, 125)(115, 120, 136, 142, 144, 129)(118, 124, 141, 121, 126, 138)(122, 132, 140, 131, 130, 139)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E19.530
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 6^24 ]

E19.527 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x A4 (small group id <36, 11>)
Aut   = A4 x S3 (small group id <72, 44>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y1 * Y2^-2, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 12, 48, 84, 120, 30, 66, 102, 138, 15, 51, 87, 123, 5, 41, 77, 113)(2, 38, 74, 110, 6, 42, 78, 114, 18, 54, 90, 126, 33, 69, 105, 141, 21, 57, 93, 129, 7, 43, 79, 115)(3, 39, 75, 111, 8, 44, 80, 116, 24, 60, 96, 132, 36, 72, 108, 144, 27, 63, 99, 135, 9, 45, 81, 117)(10, 46, 82, 118, 26, 62, 98, 134, 35, 71, 107, 143, 23, 59, 95, 131, 13, 49, 85, 121, 28, 64, 100, 136)(11, 47, 83, 119, 19, 55, 91, 127, 31, 67, 103, 139, 16, 52, 88, 124, 14, 50, 86, 122, 29, 65, 101, 137)(17, 53, 89, 125, 25, 61, 97, 133, 34, 70, 106, 142, 22, 58, 94, 130, 20, 56, 92, 128, 32, 68, 104, 140)
	L = (1, 38)(2, 39)(3, 37)(4, 46)(5, 49)(6, 52)(7, 55)(8, 58)(9, 61)(10, 47)(11, 40)(12, 54)(13, 50)(14, 41)(15, 57)(16, 53)(17, 42)(18, 60)(19, 56)(20, 43)(21, 63)(22, 59)(23, 44)(24, 48)(25, 62)(26, 45)(27, 51)(28, 72)(29, 70)(30, 71)(31, 66)(32, 64)(33, 65)(34, 69)(35, 67)(36, 68)(73, 111)(74, 109)(75, 110)(76, 119)(77, 122)(78, 125)(79, 128)(80, 131)(81, 134)(82, 112)(83, 118)(84, 132)(85, 113)(86, 121)(87, 135)(88, 114)(89, 124)(90, 120)(91, 115)(92, 127)(93, 123)(94, 116)(95, 130)(96, 126)(97, 117)(98, 133)(99, 129)(100, 140)(101, 141)(102, 139)(103, 143)(104, 144)(105, 142)(106, 137)(107, 138)(108, 136)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.523
Transitivity :: VT+
Graph::
	v = 6 e = 72 f = 30
	degree seq :: [ 24^6 ]

E19.528 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x A4 (small group id <36, 11>)
Aut   = A4 x S3 (small group id <72, 44>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1, Y2), (R * Y3)^2, Y3 * Y2 * Y1 * Y3, Y3^-2 * Y2^-1 * Y1^-1, R * Y1 * R * Y2, Y2^-1 * Y1^-1 * Y3^4, (Y3^-1 * Y2)^3, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 17, 53, 89, 125, 24, 60, 96, 132, 8, 44, 80, 116, 7, 43, 79, 115)(2, 38, 74, 110, 9, 45, 81, 117, 6, 42, 78, 114, 21, 57, 93, 129, 13, 49, 85, 121, 11, 47, 83, 119)(3, 39, 75, 111, 12, 48, 84, 120, 5, 41, 77, 113, 20, 56, 92, 128, 10, 46, 82, 118, 14, 50, 86, 122)(15, 51, 87, 123, 33, 69, 105, 141, 19, 55, 91, 127, 36, 72, 108, 144, 22, 58, 94, 130, 32, 68, 104, 140)(16, 52, 88, 124, 28, 64, 100, 136, 18, 54, 90, 126, 29, 65, 101, 137, 23, 59, 95, 131, 25, 61, 97, 133)(26, 62, 98, 134, 35, 71, 107, 143, 27, 63, 99, 135, 31, 67, 103, 139, 30, 66, 102, 138, 34, 70, 106, 142)
	L = (1, 38)(2, 41)(3, 44)(4, 51)(5, 37)(6, 46)(7, 58)(8, 49)(9, 61)(10, 53)(11, 65)(12, 67)(13, 39)(14, 71)(15, 54)(16, 43)(17, 42)(18, 40)(19, 59)(20, 70)(21, 64)(22, 52)(23, 60)(24, 55)(25, 63)(26, 47)(27, 45)(28, 66)(29, 62)(30, 57)(31, 69)(32, 50)(33, 48)(34, 72)(35, 68)(36, 56)(73, 111)(74, 116)(75, 114)(76, 124)(77, 121)(78, 109)(79, 131)(80, 118)(81, 134)(82, 110)(83, 138)(84, 140)(85, 125)(86, 144)(87, 115)(88, 127)(89, 113)(90, 130)(91, 112)(92, 141)(93, 135)(94, 132)(95, 123)(96, 126)(97, 119)(98, 136)(99, 137)(100, 117)(101, 129)(102, 133)(103, 122)(104, 142)(105, 143)(106, 120)(107, 128)(108, 139)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.524
Transitivity :: VT+
Graph::
	v = 6 e = 72 f = 30
	degree seq :: [ 24^6 ]

E19.529 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x A4 (small group id <36, 11>)
Aut   = C3 x S4 (small group id <72, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^-2 * Y1^-2, R * Y1 * R * Y2, (Y1, Y2^-1), Y2^-1 * Y3 * Y1^-1 * Y3^-1, (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y1 * Y3^-1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y1^6, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 12, 48, 84, 120)(3, 39, 75, 111, 14, 50, 86, 122, 16, 52, 88, 124)(5, 41, 77, 113, 20, 56, 92, 128, 21, 57, 93, 129)(6, 42, 78, 114, 17, 53, 89, 125, 22, 58, 94, 130)(8, 44, 80, 116, 26, 62, 98, 134, 28, 64, 100, 136)(9, 45, 81, 117, 29, 65, 101, 137, 30, 66, 102, 138)(11, 47, 83, 119, 18, 54, 90, 126, 24, 60, 96, 132)(13, 49, 85, 121, 33, 69, 105, 141, 34, 70, 106, 142)(15, 51, 87, 123, 19, 55, 91, 127, 23, 59, 95, 131)(25, 61, 97, 133, 35, 71, 107, 143, 36, 72, 108, 144)(27, 63, 99, 135, 31, 67, 103, 139, 32, 68, 104, 140)
	L = (1, 38)(2, 44)(3, 45)(4, 53)(5, 37)(6, 47)(7, 59)(8, 61)(9, 42)(10, 54)(11, 63)(12, 52)(13, 41)(14, 40)(15, 39)(16, 72)(17, 62)(18, 71)(19, 56)(20, 65)(21, 68)(22, 57)(23, 64)(24, 43)(25, 49)(26, 67)(27, 51)(28, 66)(29, 46)(30, 70)(31, 69)(32, 48)(33, 50)(34, 60)(35, 55)(36, 58)(73, 111)(74, 117)(75, 121)(76, 126)(77, 123)(78, 109)(79, 129)(80, 114)(81, 113)(82, 139)(83, 110)(84, 115)(85, 135)(86, 118)(87, 133)(88, 131)(89, 143)(90, 141)(91, 112)(92, 125)(93, 142)(94, 138)(95, 140)(96, 130)(97, 119)(98, 127)(99, 116)(100, 120)(101, 134)(102, 124)(103, 128)(104, 132)(105, 137)(106, 144)(107, 122)(108, 136)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.525
Transitivity :: VT+
Graph::
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.530 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x A4 (small group id <36, 11>)
Aut   = (C3 x A4) : C2 (small group id <72, 43>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^-2 * Y1^2, (R * Y3)^2, Y2 * Y3 * Y1^-1 * Y3^-1, R * Y1 * R * Y2, (Y2^-1, Y1), Y2 * Y1 * Y3^-1 * Y1 * Y3, Y3 * Y2^2 * Y3^-1 * Y1^-2, Y2^6, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 12, 48, 84, 120)(3, 39, 75, 111, 13, 49, 85, 121, 14, 50, 86, 122)(5, 41, 77, 113, 18, 54, 90, 126, 21, 57, 93, 129)(6, 42, 78, 114, 16, 52, 88, 124, 22, 58, 94, 130)(8, 44, 80, 116, 27, 63, 99, 135, 28, 64, 100, 136)(9, 45, 81, 117, 17, 53, 89, 125, 24, 60, 96, 132)(11, 47, 83, 119, 29, 65, 101, 137, 31, 67, 103, 139)(15, 51, 87, 123, 23, 59, 95, 131, 20, 56, 92, 128)(19, 55, 91, 127, 35, 71, 107, 143, 36, 72, 108, 144)(25, 61, 97, 133, 33, 69, 105, 141, 34, 70, 106, 142)(26, 62, 98, 134, 30, 66, 102, 138, 32, 68, 104, 140)
	L = (1, 38)(2, 44)(3, 45)(4, 49)(5, 37)(6, 47)(7, 59)(8, 61)(9, 62)(10, 53)(11, 39)(12, 58)(13, 63)(14, 57)(15, 54)(16, 40)(17, 69)(18, 65)(19, 41)(20, 42)(21, 68)(22, 70)(23, 64)(24, 43)(25, 55)(26, 56)(27, 66)(28, 67)(29, 46)(30, 71)(31, 72)(32, 48)(33, 51)(34, 50)(35, 52)(36, 60)(73, 111)(74, 117)(75, 116)(76, 123)(77, 119)(78, 109)(79, 120)(80, 134)(81, 133)(82, 124)(83, 110)(84, 136)(85, 126)(86, 132)(87, 135)(88, 141)(89, 112)(90, 138)(91, 114)(92, 113)(93, 115)(94, 139)(95, 130)(96, 140)(97, 128)(98, 127)(99, 137)(100, 142)(101, 143)(102, 118)(103, 122)(104, 131)(105, 121)(106, 144)(107, 125)(108, 129)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.526
Transitivity :: VT+
Graph::
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.531 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x A4 (small group id <36, 11>)
Aut   = (C3 x A4) : C2 (small group id <72, 43>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1^-1)^3, (Y2 * Y1^-1)^3, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^6, (Y3^-1 * Y1^-1)^3, (Y1, Y2)^2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 37, 2, 38, 4, 40)(3, 39, 8, 44, 10, 46)(5, 41, 13, 49, 14, 50)(6, 42, 16, 52, 18, 54)(7, 43, 19, 55, 20, 56)(9, 45, 17, 53, 25, 61)(11, 47, 27, 63, 28, 64)(12, 48, 29, 65, 22, 58)(15, 51, 21, 57, 30, 66)(23, 59, 35, 71, 33, 69)(24, 60, 34, 70, 31, 67)(26, 62, 36, 72, 32, 68)(73, 109, 75, 111, 81, 117, 96, 132, 87, 123, 77, 113)(74, 110, 78, 114, 89, 125, 104, 140, 93, 129, 79, 115)(76, 112, 83, 119, 97, 133, 107, 143, 102, 138, 84, 120)(80, 116, 94, 130, 106, 142, 100, 136, 85, 121, 95, 131)(82, 118, 91, 127, 103, 139, 88, 124, 86, 122, 98, 134)(90, 126, 101, 137, 108, 144, 99, 135, 92, 128, 105, 141)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 6^12, 12^6 ]

E19.532 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x A4 (small group id <36, 11>)
Aut   = (C3 x A4) : C2 (small group id <72, 43>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^-2 * Y3, Y3^3, (Y1^-1, Y3), (Y2 * R)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, (Y2 * Y1^-1)^3, (Y2^-1 * Y1^-1)^3, (Y2^-1, Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 14, 50)(4, 40, 9, 45, 15, 51)(6, 42, 19, 55, 20, 56)(7, 43, 11, 47, 18, 54)(8, 44, 21, 57, 23, 59)(10, 46, 24, 60, 25, 61)(13, 49, 27, 63, 29, 65)(16, 52, 32, 68, 33, 69)(17, 53, 34, 70, 26, 62)(22, 58, 30, 66, 35, 71)(28, 64, 31, 67, 36, 72)(73, 109, 75, 111, 76, 112, 85, 121, 79, 115, 78, 114)(74, 110, 80, 116, 81, 117, 94, 130, 83, 119, 82, 118)(77, 113, 88, 124, 87, 123, 103, 139, 90, 126, 89, 125)(84, 120, 98, 134, 99, 135, 105, 141, 91, 127, 100, 136)(86, 122, 96, 132, 101, 137, 93, 129, 92, 128, 102, 138)(95, 131, 106, 142, 107, 143, 104, 140, 97, 133, 108, 144)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 87)(6, 75)(7, 73)(8, 94)(9, 83)(10, 80)(11, 74)(12, 99)(13, 78)(14, 101)(15, 90)(16, 103)(17, 88)(18, 77)(19, 84)(20, 86)(21, 102)(22, 82)(23, 107)(24, 93)(25, 95)(26, 105)(27, 91)(28, 98)(29, 92)(30, 96)(31, 89)(32, 108)(33, 100)(34, 104)(35, 97)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 6^12, 12^6 ]

E19.533 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^2, Y3^-1 * Y2 * Y1 * Y3^-1, Y3^-1 * Y2 * Y3 * Y1^-1, (R * Y3)^2, Y1^-1 * Y3^2 * Y2^-1, R * Y1 * R * Y2, (Y1 * Y2)^3, Y2^3 * Y1^-3, (Y3^-1 * Y2^-2)^2, Y1^6, Y2^3 * Y1^3 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 9, 45, 28, 64, 18, 54, 7, 43)(2, 38, 10, 46, 23, 59, 21, 57, 6, 42, 12, 48)(3, 39, 14, 50, 27, 63, 19, 55, 5, 41, 16, 52)(8, 44, 24, 60, 20, 56, 30, 66, 11, 47, 26, 62)(13, 49, 31, 67, 17, 53, 33, 69, 15, 51, 32, 68)(22, 58, 34, 70, 29, 65, 36, 72, 25, 61, 35, 71)(73, 74, 80, 94, 89, 77)(75, 81, 95, 92, 101, 87)(76, 86, 103, 106, 102, 84)(78, 83, 97, 85, 99, 90)(79, 88, 104, 107, 96, 93)(82, 100, 91, 105, 108, 98)(109, 111, 121, 130, 128, 114)(110, 117, 135, 125, 137, 119)(112, 118, 132, 142, 141, 124)(113, 123, 133, 116, 131, 126)(115, 120, 134, 143, 139, 127)(122, 136, 129, 138, 144, 140)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.542
Graph:: simple bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 6^12, 12^6 ]

E19.534 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, Y2^-1 * Y3^2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^3, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y1^6, Y2^6, Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3 * Y1^-1 * Y3^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 6, 42, 15, 51, 11, 47, 5, 41)(2, 38, 7, 43, 14, 50, 12, 48, 4, 40, 8, 44)(9, 45, 19, 55, 13, 49, 21, 57, 10, 46, 20, 56)(16, 52, 22, 58, 18, 54, 24, 60, 17, 53, 23, 59)(25, 61, 31, 67, 27, 63, 33, 69, 26, 62, 32, 68)(28, 64, 34, 70, 30, 66, 36, 72, 29, 65, 35, 71)(73, 74, 78, 86, 83, 76)(75, 81, 87, 85, 77, 82)(79, 88, 84, 90, 80, 89)(91, 97, 93, 99, 92, 98)(94, 100, 96, 102, 95, 101)(103, 106, 105, 108, 104, 107)(109, 110, 114, 122, 119, 112)(111, 117, 123, 121, 113, 118)(115, 124, 120, 126, 116, 125)(127, 133, 129, 135, 128, 134)(130, 136, 132, 138, 131, 137)(139, 142, 141, 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) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.543
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 6^12, 12^6 ]

E19.535 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = S3 x S3 (small group id <36, 10>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y3^-1)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y3^-2 * Y1^-1, Y3^2 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y2 * Y3^-1, R * Y1 * R * Y2, (Y2 * Y3)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y3^4, (Y2 * Y1^-1)^3, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-1, Y2^6, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 9, 45, 27, 63, 13, 49, 7, 43)(2, 38, 10, 46, 6, 42, 21, 57, 26, 62, 12, 48)(3, 39, 15, 51, 28, 64, 18, 54, 5, 41, 17, 53)(8, 44, 23, 59, 11, 47, 30, 66, 20, 56, 25, 61)(14, 50, 31, 67, 19, 55, 33, 69, 16, 52, 32, 68)(22, 58, 34, 70, 24, 60, 36, 72, 29, 65, 35, 71)(73, 74, 80, 94, 86, 77)(75, 85, 78, 92, 96, 88)(76, 90, 103, 107, 95, 84)(79, 89, 104, 106, 97, 82)(81, 98, 83, 101, 91, 100)(87, 105, 108, 102, 93, 99)(109, 111, 122, 132, 116, 114)(110, 117, 113, 127, 130, 119)(112, 118, 131, 142, 139, 125)(115, 129, 133, 144, 140, 123)(120, 138, 143, 141, 126, 135)(121, 136, 124, 137, 128, 134)
	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) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.544
Graph:: simple bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 6^12, 12^6 ]

E19.536 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1^-1), (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y1 * Y3, Y2^3 * Y1^3, Y2^6, Y1^6, Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40)(2, 38, 9, 45)(3, 39, 12, 48)(5, 41, 15, 51)(6, 42, 14, 50)(7, 43, 21, 57)(8, 44, 24, 60)(10, 46, 25, 61)(11, 47, 27, 63)(13, 49, 28, 64)(16, 52, 31, 67)(17, 53, 30, 66)(18, 54, 29, 65)(19, 55, 32, 68)(20, 56, 33, 69)(22, 58, 34, 70)(23, 59, 35, 71)(26, 62, 36, 72)(73, 74, 79, 91, 88, 77)(75, 80, 92, 90, 98, 85)(76, 84, 99, 104, 101, 86)(78, 82, 94, 83, 95, 89)(81, 96, 107, 103, 108, 97)(87, 100, 106, 93, 105, 102)(109, 111, 119, 127, 126, 114)(110, 116, 131, 124, 134, 118)(112, 117, 129, 140, 139, 123)(113, 121, 130, 115, 128, 125)(120, 132, 141, 137, 144, 136)(122, 133, 142, 135, 143, 138)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E19.539
Graph:: simple bipartite
	v = 30 e = 72 f = 6
	degree seq :: [ 4^18, 6^12 ]

E19.537 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y2^-3 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, Y2^6, Y3 * Y1^2 * Y3 * Y1^-2, Y1^6, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 3, 39)(2, 38, 6, 42)(4, 40, 9, 45)(5, 41, 12, 48)(7, 43, 15, 51)(8, 44, 16, 52)(10, 46, 17, 53)(11, 47, 19, 55)(13, 49, 21, 57)(14, 50, 22, 58)(18, 54, 26, 62)(20, 56, 27, 63)(23, 59, 31, 67)(24, 60, 32, 68)(25, 61, 33, 69)(28, 64, 34, 70)(29, 65, 35, 71)(30, 66, 36, 72)(73, 74, 77, 83, 82, 76)(75, 79, 84, 92, 89, 80)(78, 85, 91, 90, 81, 86)(87, 95, 99, 97, 88, 96)(93, 100, 98, 102, 94, 101)(103, 106, 105, 108, 104, 107)(109, 110, 113, 119, 118, 112)(111, 115, 120, 128, 125, 116)(114, 121, 127, 126, 117, 122)(123, 131, 135, 133, 124, 132)(129, 136, 134, 138, 130, 137)(139, 142, 141, 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) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E19.540
Graph:: simple bipartite
	v = 30 e = 72 f = 6
	degree seq :: [ 4^18, 6^12 ]

E19.538 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = S3 x S3 (small group id <36, 10>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-2 * Y2^-2, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y3)^2, (Y3 * Y1^-1)^2, Y3 * Y2^2 * Y3 * Y1^-2, (Y2 * Y1^-1)^3, Y2^6, Y1 * Y2^-2 * Y1^3, (Y2^-1 * Y1^-1)^3, Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40)(2, 38, 9, 45)(3, 39, 13, 49)(5, 41, 15, 51)(6, 42, 16, 52)(7, 43, 20, 56)(8, 44, 23, 59)(10, 46, 25, 61)(11, 47, 27, 63)(12, 48, 28, 64)(14, 50, 29, 65)(17, 53, 30, 66)(18, 54, 31, 67)(19, 55, 32, 68)(21, 57, 33, 69)(22, 58, 34, 70)(24, 60, 35, 71)(26, 62, 36, 72)(73, 74, 79, 91, 84, 77)(75, 83, 78, 90, 93, 86)(76, 87, 100, 104, 92, 81)(80, 94, 82, 98, 89, 96)(85, 101, 105, 103, 88, 99)(95, 107, 102, 108, 97, 106)(109, 111, 120, 129, 115, 114)(110, 116, 113, 125, 127, 118)(112, 124, 128, 141, 136, 121)(117, 133, 140, 138, 123, 131)(119, 132, 122, 134, 126, 130)(135, 142, 139, 144, 137, 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) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E19.541
Graph:: simple bipartite
	v = 30 e = 72 f = 6
	degree seq :: [ 4^18, 6^12 ]

E19.539 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^2, Y3^-1 * Y2 * Y1 * Y3^-1, Y3^-1 * Y2 * Y3 * Y1^-1, (R * Y3)^2, Y1^-1 * Y3^2 * Y2^-1, R * Y1 * R * Y2, (Y1 * Y2)^3, Y2^3 * Y1^-3, (Y3^-1 * Y2^-2)^2, Y1^6, Y2^3 * Y1^3 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 9, 45, 81, 117, 28, 64, 100, 136, 18, 54, 90, 126, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 23, 59, 95, 131, 21, 57, 93, 129, 6, 42, 78, 114, 12, 48, 84, 120)(3, 39, 75, 111, 14, 50, 86, 122, 27, 63, 99, 135, 19, 55, 91, 127, 5, 41, 77, 113, 16, 52, 88, 124)(8, 44, 80, 116, 24, 60, 96, 132, 20, 56, 92, 128, 30, 66, 102, 138, 11, 47, 83, 119, 26, 62, 98, 134)(13, 49, 85, 121, 31, 67, 103, 139, 17, 53, 89, 125, 33, 69, 105, 141, 15, 51, 87, 123, 32, 68, 104, 140)(22, 58, 94, 130, 34, 70, 106, 142, 29, 65, 101, 137, 36, 72, 108, 144, 25, 61, 97, 133, 35, 71, 107, 143)
	L = (1, 38)(2, 44)(3, 45)(4, 50)(5, 37)(6, 47)(7, 52)(8, 58)(9, 59)(10, 64)(11, 61)(12, 40)(13, 63)(14, 67)(15, 39)(16, 68)(17, 41)(18, 42)(19, 69)(20, 65)(21, 43)(22, 53)(23, 56)(24, 57)(25, 49)(26, 46)(27, 54)(28, 55)(29, 51)(30, 48)(31, 70)(32, 71)(33, 72)(34, 66)(35, 60)(36, 62)(73, 111)(74, 117)(75, 121)(76, 118)(77, 123)(78, 109)(79, 120)(80, 131)(81, 135)(82, 132)(83, 110)(84, 134)(85, 130)(86, 136)(87, 133)(88, 112)(89, 137)(90, 113)(91, 115)(92, 114)(93, 138)(94, 128)(95, 126)(96, 142)(97, 116)(98, 143)(99, 125)(100, 129)(101, 119)(102, 144)(103, 127)(104, 122)(105, 124)(106, 141)(107, 139)(108, 140)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.536
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 30
	degree seq :: [ 24^6 ]

E19.540 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, Y2^-1 * Y3^2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^3, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y1^6, Y2^6, Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3 * Y1^-1 * Y3^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 3, 39, 75, 111, 6, 42, 78, 114, 15, 51, 87, 123, 11, 47, 83, 119, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 14, 50, 86, 122, 12, 48, 84, 120, 4, 40, 76, 112, 8, 44, 80, 116)(9, 45, 81, 117, 19, 55, 91, 127, 13, 49, 85, 121, 21, 57, 93, 129, 10, 46, 82, 118, 20, 56, 92, 128)(16, 52, 88, 124, 22, 58, 94, 130, 18, 54, 90, 126, 24, 60, 96, 132, 17, 53, 89, 125, 23, 59, 95, 131)(25, 61, 97, 133, 31, 67, 103, 139, 27, 63, 99, 135, 33, 69, 105, 141, 26, 62, 98, 134, 32, 68, 104, 140)(28, 64, 100, 136, 34, 70, 106, 142, 30, 66, 102, 138, 36, 72, 108, 144, 29, 65, 101, 137, 35, 71, 107, 143)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 46)(6, 50)(7, 52)(8, 53)(9, 51)(10, 39)(11, 40)(12, 54)(13, 41)(14, 47)(15, 49)(16, 48)(17, 43)(18, 44)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 57)(26, 55)(27, 56)(28, 60)(29, 58)(30, 59)(31, 70)(32, 71)(33, 72)(34, 69)(35, 67)(36, 68)(73, 110)(74, 114)(75, 117)(76, 109)(77, 118)(78, 122)(79, 124)(80, 125)(81, 123)(82, 111)(83, 112)(84, 126)(85, 113)(86, 119)(87, 121)(88, 120)(89, 115)(90, 116)(91, 133)(92, 134)(93, 135)(94, 136)(95, 137)(96, 138)(97, 129)(98, 127)(99, 128)(100, 132)(101, 130)(102, 131)(103, 142)(104, 143)(105, 144)(106, 141)(107, 139)(108, 140)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.537
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 30
	degree seq :: [ 24^6 ]

E19.541 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = S3 x S3 (small group id <36, 10>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y3^-1)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y3^-2 * Y1^-1, Y3^2 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y2 * Y3^-1, R * Y1 * R * Y2, (Y2 * Y3)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y3^4, (Y2 * Y1^-1)^3, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-1, Y2^6, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 9, 45, 81, 117, 27, 63, 99, 135, 13, 49, 85, 121, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 6, 42, 78, 114, 21, 57, 93, 129, 26, 62, 98, 134, 12, 48, 84, 120)(3, 39, 75, 111, 15, 51, 87, 123, 28, 64, 100, 136, 18, 54, 90, 126, 5, 41, 77, 113, 17, 53, 89, 125)(8, 44, 80, 116, 23, 59, 95, 131, 11, 47, 83, 119, 30, 66, 102, 138, 20, 56, 92, 128, 25, 61, 97, 133)(14, 50, 86, 122, 31, 67, 103, 139, 19, 55, 91, 127, 33, 69, 105, 141, 16, 52, 88, 124, 32, 68, 104, 140)(22, 58, 94, 130, 34, 70, 106, 142, 24, 60, 96, 132, 36, 72, 108, 144, 29, 65, 101, 137, 35, 71, 107, 143)
	L = (1, 38)(2, 44)(3, 49)(4, 54)(5, 37)(6, 56)(7, 53)(8, 58)(9, 62)(10, 43)(11, 65)(12, 40)(13, 42)(14, 41)(15, 69)(16, 39)(17, 68)(18, 67)(19, 64)(20, 60)(21, 63)(22, 50)(23, 48)(24, 52)(25, 46)(26, 47)(27, 51)(28, 45)(29, 55)(30, 57)(31, 71)(32, 70)(33, 72)(34, 61)(35, 59)(36, 66)(73, 111)(74, 117)(75, 122)(76, 118)(77, 127)(78, 109)(79, 129)(80, 114)(81, 113)(82, 131)(83, 110)(84, 138)(85, 136)(86, 132)(87, 115)(88, 137)(89, 112)(90, 135)(91, 130)(92, 134)(93, 133)(94, 119)(95, 142)(96, 116)(97, 144)(98, 121)(99, 120)(100, 124)(101, 128)(102, 143)(103, 125)(104, 123)(105, 126)(106, 139)(107, 141)(108, 140)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.538
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 30
	degree seq :: [ 24^6 ]

E19.542 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1^-1), (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y1 * Y3, Y2^3 * Y1^3, Y2^6, Y1^6, Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112)(2, 38, 74, 110, 9, 45, 81, 117)(3, 39, 75, 111, 12, 48, 84, 120)(5, 41, 77, 113, 15, 51, 87, 123)(6, 42, 78, 114, 14, 50, 86, 122)(7, 43, 79, 115, 21, 57, 93, 129)(8, 44, 80, 116, 24, 60, 96, 132)(10, 46, 82, 118, 25, 61, 97, 133)(11, 47, 83, 119, 27, 63, 99, 135)(13, 49, 85, 121, 28, 64, 100, 136)(16, 52, 88, 124, 31, 67, 103, 139)(17, 53, 89, 125, 30, 66, 102, 138)(18, 54, 90, 126, 29, 65, 101, 137)(19, 55, 91, 127, 32, 68, 104, 140)(20, 56, 92, 128, 33, 69, 105, 141)(22, 58, 94, 130, 34, 70, 106, 142)(23, 59, 95, 131, 35, 71, 107, 143)(26, 62, 98, 134, 36, 72, 108, 144)
	L = (1, 38)(2, 43)(3, 44)(4, 48)(5, 37)(6, 46)(7, 55)(8, 56)(9, 60)(10, 58)(11, 59)(12, 63)(13, 39)(14, 40)(15, 64)(16, 41)(17, 42)(18, 62)(19, 52)(20, 54)(21, 69)(22, 47)(23, 53)(24, 71)(25, 45)(26, 49)(27, 68)(28, 70)(29, 50)(30, 51)(31, 72)(32, 65)(33, 66)(34, 57)(35, 67)(36, 61)(73, 111)(74, 116)(75, 119)(76, 117)(77, 121)(78, 109)(79, 128)(80, 131)(81, 129)(82, 110)(83, 127)(84, 132)(85, 130)(86, 133)(87, 112)(88, 134)(89, 113)(90, 114)(91, 126)(92, 125)(93, 140)(94, 115)(95, 124)(96, 141)(97, 142)(98, 118)(99, 143)(100, 120)(101, 144)(102, 122)(103, 123)(104, 139)(105, 137)(106, 135)(107, 138)(108, 136)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.533
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.543 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y2^-3 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, Y2^6, Y3 * Y1^2 * Y3 * Y1^-2, Y1^6, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 3, 39, 75, 111)(2, 38, 74, 110, 6, 42, 78, 114)(4, 40, 76, 112, 9, 45, 81, 117)(5, 41, 77, 113, 12, 48, 84, 120)(7, 43, 79, 115, 15, 51, 87, 123)(8, 44, 80, 116, 16, 52, 88, 124)(10, 46, 82, 118, 17, 53, 89, 125)(11, 47, 83, 119, 19, 55, 91, 127)(13, 49, 85, 121, 21, 57, 93, 129)(14, 50, 86, 122, 22, 58, 94, 130)(18, 54, 90, 126, 26, 62, 98, 134)(20, 56, 92, 128, 27, 63, 99, 135)(23, 59, 95, 131, 31, 67, 103, 139)(24, 60, 96, 132, 32, 68, 104, 140)(25, 61, 97, 133, 33, 69, 105, 141)(28, 64, 100, 136, 34, 70, 106, 142)(29, 65, 101, 137, 35, 71, 107, 143)(30, 66, 102, 138, 36, 72, 108, 144)
	L = (1, 38)(2, 41)(3, 43)(4, 37)(5, 47)(6, 49)(7, 48)(8, 39)(9, 50)(10, 40)(11, 46)(12, 56)(13, 55)(14, 42)(15, 59)(16, 60)(17, 44)(18, 45)(19, 54)(20, 53)(21, 64)(22, 65)(23, 63)(24, 51)(25, 52)(26, 66)(27, 61)(28, 62)(29, 57)(30, 58)(31, 70)(32, 71)(33, 72)(34, 69)(35, 67)(36, 68)(73, 110)(74, 113)(75, 115)(76, 109)(77, 119)(78, 121)(79, 120)(80, 111)(81, 122)(82, 112)(83, 118)(84, 128)(85, 127)(86, 114)(87, 131)(88, 132)(89, 116)(90, 117)(91, 126)(92, 125)(93, 136)(94, 137)(95, 135)(96, 123)(97, 124)(98, 138)(99, 133)(100, 134)(101, 129)(102, 130)(103, 142)(104, 143)(105, 144)(106, 141)(107, 139)(108, 140)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.534
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.544 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = S3 x S3 (small group id <36, 10>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-2 * Y2^-2, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y3)^2, (Y3 * Y1^-1)^2, Y3 * Y2^2 * Y3 * Y1^-2, (Y2 * Y1^-1)^3, Y2^6, Y1 * Y2^-2 * Y1^3, (Y2^-1 * Y1^-1)^3, Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112)(2, 38, 74, 110, 9, 45, 81, 117)(3, 39, 75, 111, 13, 49, 85, 121)(5, 41, 77, 113, 15, 51, 87, 123)(6, 42, 78, 114, 16, 52, 88, 124)(7, 43, 79, 115, 20, 56, 92, 128)(8, 44, 80, 116, 23, 59, 95, 131)(10, 46, 82, 118, 25, 61, 97, 133)(11, 47, 83, 119, 27, 63, 99, 135)(12, 48, 84, 120, 28, 64, 100, 136)(14, 50, 86, 122, 29, 65, 101, 137)(17, 53, 89, 125, 30, 66, 102, 138)(18, 54, 90, 126, 31, 67, 103, 139)(19, 55, 91, 127, 32, 68, 104, 140)(21, 57, 93, 129, 33, 69, 105, 141)(22, 58, 94, 130, 34, 70, 106, 142)(24, 60, 96, 132, 35, 71, 107, 143)(26, 62, 98, 134, 36, 72, 108, 144)
	L = (1, 38)(2, 43)(3, 47)(4, 51)(5, 37)(6, 54)(7, 55)(8, 58)(9, 40)(10, 62)(11, 42)(12, 41)(13, 65)(14, 39)(15, 64)(16, 63)(17, 60)(18, 57)(19, 48)(20, 45)(21, 50)(22, 46)(23, 71)(24, 44)(25, 70)(26, 53)(27, 49)(28, 68)(29, 69)(30, 72)(31, 52)(32, 56)(33, 67)(34, 59)(35, 66)(36, 61)(73, 111)(74, 116)(75, 120)(76, 124)(77, 125)(78, 109)(79, 114)(80, 113)(81, 133)(82, 110)(83, 132)(84, 129)(85, 112)(86, 134)(87, 131)(88, 128)(89, 127)(90, 130)(91, 118)(92, 141)(93, 115)(94, 119)(95, 117)(96, 122)(97, 140)(98, 126)(99, 142)(100, 121)(101, 143)(102, 123)(103, 144)(104, 138)(105, 136)(106, 139)(107, 135)(108, 137)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.535
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.545 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y1)^2, (Y2^-1 * R)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, Y2^6, Y2 * Y1 * Y3 * Y1 * Y3 * Y2^2 * Y1 * Y3, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 6, 42)(4, 40, 11, 47)(5, 41, 8, 44)(7, 43, 16, 52)(9, 45, 14, 50)(10, 46, 21, 57)(12, 48, 23, 59)(13, 49, 18, 54)(15, 51, 27, 63)(17, 53, 29, 65)(19, 55, 25, 61)(20, 56, 32, 68)(22, 58, 34, 70)(24, 60, 36, 72)(26, 62, 35, 71)(28, 64, 31, 67)(30, 66, 33, 69)(73, 109, 75, 111, 81, 117, 91, 127, 85, 121, 77, 113)(74, 110, 78, 114, 86, 122, 97, 133, 90, 126, 80, 116)(76, 112, 82, 118, 92, 128, 103, 139, 96, 132, 84, 120)(79, 115, 87, 123, 98, 134, 106, 142, 102, 138, 89, 125)(83, 119, 93, 129, 104, 140, 100, 136, 108, 144, 95, 131)(88, 124, 99, 135, 107, 143, 94, 130, 105, 141, 101, 137)
	L = (1, 76)(2, 79)(3, 82)(4, 73)(5, 84)(6, 87)(7, 74)(8, 89)(9, 92)(10, 75)(11, 94)(12, 77)(13, 96)(14, 98)(15, 78)(16, 100)(17, 80)(18, 102)(19, 103)(20, 81)(21, 105)(22, 83)(23, 107)(24, 85)(25, 106)(26, 86)(27, 108)(28, 88)(29, 104)(30, 90)(31, 91)(32, 101)(33, 93)(34, 97)(35, 95)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.567
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.546 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y1 * Y3 * Y1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 8, 44)(5, 41, 7, 43)(6, 42, 10, 46)(11, 47, 21, 57)(12, 48, 20, 56)(13, 49, 22, 58)(14, 50, 18, 54)(15, 51, 17, 53)(16, 52, 19, 55)(23, 59, 28, 64)(24, 60, 31, 67)(25, 61, 32, 68)(26, 62, 29, 65)(27, 63, 30, 66)(33, 69, 35, 71)(34, 70, 36, 72)(73, 109, 75, 111, 83, 119, 95, 131, 87, 123, 77, 113)(74, 110, 79, 115, 89, 125, 100, 136, 93, 129, 81, 117)(76, 112, 84, 120, 96, 132, 105, 141, 98, 134, 86, 122)(78, 114, 85, 121, 97, 133, 106, 142, 99, 135, 88, 124)(80, 116, 90, 126, 101, 137, 107, 143, 103, 139, 92, 128)(82, 118, 91, 127, 102, 138, 108, 144, 104, 140, 94, 130)
	L = (1, 76)(2, 80)(3, 84)(4, 78)(5, 86)(6, 73)(7, 90)(8, 82)(9, 92)(10, 74)(11, 96)(12, 85)(13, 75)(14, 88)(15, 98)(16, 77)(17, 101)(18, 91)(19, 79)(20, 94)(21, 103)(22, 81)(23, 105)(24, 97)(25, 83)(26, 99)(27, 87)(28, 107)(29, 102)(30, 89)(31, 104)(32, 93)(33, 106)(34, 95)(35, 108)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.572
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.547 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3^-1, Y2^-1), (R * Y2)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 14, 50)(5, 41, 7, 43)(6, 42, 18, 54)(8, 44, 22, 58)(10, 46, 26, 62)(11, 47, 24, 60)(12, 48, 29, 65)(13, 49, 21, 57)(15, 51, 23, 59)(16, 52, 19, 55)(17, 53, 32, 68)(20, 56, 35, 71)(25, 61, 36, 72)(27, 63, 34, 70)(28, 64, 33, 69)(30, 66, 31, 67)(73, 109, 75, 111, 83, 119, 99, 135, 88, 124, 77, 113)(74, 110, 79, 115, 91, 127, 106, 142, 96, 132, 81, 117)(76, 112, 84, 120, 100, 136, 107, 143, 94, 130, 87, 123)(78, 114, 85, 121, 98, 134, 108, 144, 103, 139, 89, 125)(80, 116, 92, 128, 105, 141, 101, 137, 86, 122, 95, 131)(82, 118, 93, 129, 90, 126, 104, 140, 102, 138, 97, 133)
	L = (1, 76)(2, 80)(3, 84)(4, 78)(5, 87)(6, 73)(7, 92)(8, 82)(9, 95)(10, 74)(11, 100)(12, 85)(13, 75)(14, 102)(15, 89)(16, 94)(17, 77)(18, 91)(19, 105)(20, 93)(21, 79)(22, 103)(23, 97)(24, 86)(25, 81)(26, 83)(27, 107)(28, 98)(29, 104)(30, 96)(31, 88)(32, 106)(33, 90)(34, 101)(35, 108)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.566
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.548 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y3^3, (Y3, Y2^-1), Y2 * Y1 * Y2^-1 * Y1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 14, 50)(5, 41, 9, 45)(6, 42, 18, 54)(8, 44, 22, 58)(10, 46, 26, 62)(11, 47, 19, 55)(12, 48, 25, 61)(13, 49, 29, 65)(15, 51, 30, 66)(16, 52, 24, 60)(17, 53, 20, 56)(21, 57, 35, 71)(23, 59, 36, 72)(27, 63, 34, 70)(28, 64, 31, 67)(32, 68, 33, 69)(73, 109, 75, 111, 83, 119, 99, 135, 88, 124, 77, 113)(74, 110, 79, 115, 91, 127, 106, 142, 96, 132, 81, 117)(76, 112, 84, 120, 98, 134, 107, 143, 104, 140, 87, 123)(78, 114, 85, 121, 100, 136, 108, 144, 94, 130, 89, 125)(80, 116, 92, 128, 90, 126, 101, 137, 103, 139, 95, 131)(82, 118, 93, 129, 105, 141, 102, 138, 86, 122, 97, 133)
	L = (1, 76)(2, 80)(3, 84)(4, 78)(5, 87)(6, 73)(7, 92)(8, 82)(9, 95)(10, 74)(11, 98)(12, 85)(13, 75)(14, 96)(15, 89)(16, 104)(17, 77)(18, 105)(19, 90)(20, 93)(21, 79)(22, 88)(23, 97)(24, 103)(25, 81)(26, 100)(27, 107)(28, 83)(29, 102)(30, 106)(31, 86)(32, 94)(33, 91)(34, 101)(35, 108)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.575
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.549 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y2^-1, Y3), (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y3 * Y1 * Y3^-1 * Y2^-2, Y2^6, Y2 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 14, 50)(5, 41, 7, 43)(6, 42, 18, 54)(8, 44, 22, 58)(10, 46, 26, 62)(11, 47, 24, 60)(12, 48, 20, 56)(13, 49, 29, 65)(15, 51, 30, 66)(16, 52, 19, 55)(17, 53, 25, 61)(21, 57, 35, 71)(23, 59, 36, 72)(27, 63, 34, 70)(28, 64, 31, 67)(32, 68, 33, 69)(73, 109, 75, 111, 83, 119, 99, 135, 88, 124, 77, 113)(74, 110, 79, 115, 91, 127, 106, 142, 96, 132, 81, 117)(76, 112, 84, 120, 94, 130, 108, 144, 104, 140, 87, 123)(78, 114, 85, 121, 100, 136, 107, 143, 98, 134, 89, 125)(80, 116, 92, 128, 86, 122, 102, 138, 105, 141, 95, 131)(82, 118, 93, 129, 103, 139, 101, 137, 90, 126, 97, 133)
	L = (1, 76)(2, 80)(3, 84)(4, 78)(5, 87)(6, 73)(7, 92)(8, 82)(9, 95)(10, 74)(11, 94)(12, 85)(13, 75)(14, 103)(15, 89)(16, 104)(17, 77)(18, 96)(19, 86)(20, 93)(21, 79)(22, 100)(23, 97)(24, 105)(25, 81)(26, 88)(27, 108)(28, 83)(29, 106)(30, 101)(31, 91)(32, 98)(33, 90)(34, 102)(35, 99)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.574
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.550 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^2 * Y3, Y1 * Y2 * Y3 * Y1 * Y3 * Y2^-1, (R * Y2 * Y3)^2, Y2^-1 * Y1 * Y3 * Y2 * Y3 * Y1, Y2^6, (Y2^-1 * Y1 * Y2 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 12, 48)(5, 41, 15, 51)(6, 42, 18, 54)(7, 43, 20, 56)(8, 44, 23, 59)(10, 46, 26, 62)(11, 47, 19, 55)(13, 49, 17, 53)(14, 50, 22, 58)(16, 52, 29, 65)(21, 57, 24, 60)(25, 61, 34, 70)(27, 63, 31, 67)(28, 64, 33, 69)(30, 66, 35, 71)(32, 68, 36, 72)(73, 109, 75, 111, 82, 118, 99, 135, 89, 125, 77, 113)(74, 110, 78, 114, 88, 124, 103, 139, 96, 132, 80, 116)(76, 112, 85, 121, 102, 138, 97, 133, 81, 117, 86, 122)(79, 115, 93, 129, 107, 143, 105, 141, 90, 126, 94, 130)(83, 119, 87, 123, 100, 136, 104, 140, 98, 134, 92, 128)(84, 120, 91, 127, 95, 131, 106, 142, 108, 144, 101, 137)
	L = (1, 76)(2, 79)(3, 83)(4, 73)(5, 88)(6, 91)(7, 74)(8, 82)(9, 93)(10, 80)(11, 75)(12, 100)(13, 90)(14, 95)(15, 94)(16, 77)(17, 104)(18, 85)(19, 78)(20, 106)(21, 81)(22, 87)(23, 86)(24, 108)(25, 99)(26, 107)(27, 97)(28, 84)(29, 102)(30, 101)(31, 105)(32, 89)(33, 103)(34, 92)(35, 98)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.565
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.551 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2^2 * Y1, Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y3, (R * Y2 * Y3)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2^-1, Y2^6, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 12, 48)(5, 41, 15, 51)(6, 42, 18, 54)(7, 43, 20, 56)(8, 44, 23, 59)(10, 46, 14, 50)(11, 47, 28, 64)(13, 49, 21, 57)(16, 52, 24, 60)(17, 53, 32, 68)(19, 55, 22, 58)(25, 61, 36, 72)(26, 62, 29, 65)(27, 63, 34, 70)(30, 66, 35, 71)(31, 67, 33, 69)(73, 109, 75, 111, 82, 118, 98, 134, 89, 125, 77, 113)(74, 110, 78, 114, 91, 127, 101, 137, 83, 119, 80, 116)(76, 112, 85, 121, 87, 123, 103, 139, 102, 138, 86, 122)(79, 115, 93, 129, 95, 131, 108, 144, 107, 143, 94, 130)(81, 117, 88, 124, 92, 128, 104, 140, 99, 135, 97, 133)(84, 120, 100, 136, 106, 142, 105, 141, 90, 126, 96, 132)
	L = (1, 76)(2, 79)(3, 83)(4, 73)(5, 88)(6, 89)(7, 74)(8, 96)(9, 93)(10, 99)(11, 75)(12, 97)(13, 90)(14, 95)(15, 94)(16, 77)(17, 78)(18, 85)(19, 106)(20, 105)(21, 81)(22, 87)(23, 86)(24, 80)(25, 84)(26, 103)(27, 82)(28, 102)(29, 108)(30, 100)(31, 98)(32, 107)(33, 92)(34, 91)(35, 104)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.569
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.552 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3^-1, Y2), Y1 * Y3 * Y1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1, (Y2^-1 * Y3^-1 * Y1)^2, (Y2 * Y3 * Y1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 8, 44)(5, 41, 16, 52)(6, 42, 10, 46)(7, 43, 15, 51)(9, 45, 14, 50)(12, 48, 24, 60)(13, 49, 22, 58)(17, 53, 30, 66)(18, 54, 20, 56)(19, 55, 31, 67)(21, 57, 26, 62)(23, 59, 27, 63)(25, 61, 32, 68)(28, 64, 29, 65)(33, 69, 35, 71)(34, 70, 36, 72)(73, 109, 75, 111, 84, 120, 97, 133, 89, 125, 77, 113)(74, 110, 79, 115, 91, 127, 104, 140, 93, 129, 81, 117)(76, 112, 85, 121, 98, 134, 107, 143, 100, 136, 87, 123)(78, 114, 86, 122, 99, 135, 108, 144, 103, 139, 90, 126)(80, 116, 92, 128, 102, 138, 105, 141, 95, 131, 83, 119)(82, 118, 88, 124, 101, 137, 106, 142, 96, 132, 94, 130)
	L = (1, 76)(2, 80)(3, 85)(4, 78)(5, 87)(6, 73)(7, 92)(8, 82)(9, 83)(10, 74)(11, 94)(12, 98)(13, 86)(14, 75)(15, 90)(16, 79)(17, 100)(18, 77)(19, 102)(20, 88)(21, 95)(22, 81)(23, 96)(24, 93)(25, 107)(26, 99)(27, 84)(28, 103)(29, 91)(30, 101)(31, 89)(32, 105)(33, 106)(34, 104)(35, 108)(36, 97)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.573
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.553 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y3 * Y1 * Y3^-1, Y2 * Y1 * Y2 * Y3 * Y1 * Y3, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 15, 51)(5, 41, 17, 53)(6, 42, 20, 56)(7, 43, 21, 57)(8, 44, 12, 48)(9, 45, 25, 61)(10, 46, 18, 54)(13, 49, 26, 62)(14, 50, 23, 59)(16, 52, 24, 60)(19, 55, 22, 58)(27, 63, 36, 72)(28, 64, 30, 66)(29, 65, 34, 70)(31, 67, 33, 69)(32, 68, 35, 71)(73, 109, 75, 111, 84, 120, 102, 138, 90, 126, 77, 113)(74, 110, 79, 115, 87, 123, 100, 136, 92, 128, 81, 117)(76, 112, 85, 121, 103, 139, 97, 133, 106, 142, 88, 124)(78, 114, 86, 122, 104, 140, 93, 129, 108, 144, 91, 127)(80, 116, 94, 130, 105, 141, 89, 125, 107, 143, 96, 132)(82, 118, 95, 131, 101, 137, 83, 119, 99, 135, 98, 134)
	L = (1, 76)(2, 80)(3, 85)(4, 78)(5, 88)(6, 73)(7, 94)(8, 82)(9, 96)(10, 74)(11, 100)(12, 103)(13, 86)(14, 75)(15, 105)(16, 91)(17, 83)(18, 106)(19, 77)(20, 107)(21, 102)(22, 95)(23, 79)(24, 98)(25, 93)(26, 81)(27, 92)(28, 89)(29, 87)(30, 97)(31, 104)(32, 84)(33, 101)(34, 108)(35, 99)(36, 90)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.568
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.554 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^-1, Y3^3, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1 * Y3^-1 * Y1)^2, (Y2^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 13, 49)(5, 41, 14, 50)(6, 42, 15, 51)(7, 43, 16, 52)(8, 44, 18, 54)(9, 45, 19, 55)(10, 46, 20, 56)(12, 48, 17, 53)(21, 57, 29, 65)(22, 58, 33, 69)(23, 59, 36, 72)(24, 60, 32, 68)(25, 61, 30, 66)(26, 62, 34, 70)(27, 63, 35, 71)(28, 64, 31, 67)(73, 109, 75, 111, 76, 112, 84, 120, 78, 114, 77, 113)(74, 110, 79, 115, 80, 116, 89, 125, 82, 118, 81, 117)(83, 119, 93, 129, 94, 130, 87, 123, 96, 132, 95, 131)(85, 121, 97, 133, 98, 134, 86, 122, 100, 136, 99, 135)(88, 124, 101, 137, 102, 138, 92, 128, 104, 140, 103, 139)(90, 126, 105, 141, 106, 142, 91, 127, 108, 144, 107, 143)
	L = (1, 76)(2, 80)(3, 84)(4, 78)(5, 75)(6, 73)(7, 89)(8, 82)(9, 79)(10, 74)(11, 94)(12, 77)(13, 98)(14, 99)(15, 95)(16, 102)(17, 81)(18, 106)(19, 107)(20, 103)(21, 87)(22, 96)(23, 93)(24, 83)(25, 86)(26, 100)(27, 97)(28, 85)(29, 92)(30, 104)(31, 101)(32, 88)(33, 91)(34, 108)(35, 105)(36, 90)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.576
Graph:: bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.555 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y2^-1 * R)^2, (R * Y1)^2, Y3 * Y1 * Y2 * Y3 * Y1 * Y2^-1, Y2^2 * Y1 * Y2^-2 * Y1, Y2^6, (Y2 * Y1)^3, Y3 * Y1 * Y2 * Y1 * Y3 * Y2^2 * Y1, (Y3 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 12, 48)(5, 41, 14, 50)(6, 42, 16, 52)(7, 43, 19, 55)(8, 44, 21, 57)(10, 46, 17, 53)(11, 47, 18, 54)(13, 49, 20, 56)(15, 51, 22, 58)(23, 59, 34, 70)(24, 60, 31, 67)(25, 61, 30, 66)(26, 62, 33, 69)(27, 63, 32, 68)(28, 64, 29, 65)(35, 71, 36, 72)(73, 109, 75, 111, 82, 118, 97, 133, 87, 123, 77, 113)(74, 110, 78, 114, 89, 125, 103, 139, 94, 130, 80, 116)(76, 112, 83, 119, 98, 134, 107, 143, 100, 136, 85, 121)(79, 115, 90, 126, 104, 140, 108, 144, 106, 142, 92, 128)(81, 117, 93, 129, 102, 138, 88, 124, 86, 122, 96, 132)(84, 120, 95, 131, 105, 141, 91, 127, 101, 137, 99, 135)
	L = (1, 76)(2, 79)(3, 83)(4, 73)(5, 85)(6, 90)(7, 74)(8, 92)(9, 95)(10, 98)(11, 75)(12, 96)(13, 77)(14, 99)(15, 100)(16, 101)(17, 104)(18, 78)(19, 102)(20, 80)(21, 105)(22, 106)(23, 81)(24, 84)(25, 107)(26, 82)(27, 86)(28, 87)(29, 88)(30, 91)(31, 108)(32, 89)(33, 93)(34, 94)(35, 97)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.564
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.556 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = S3 x S3 (small group id <36, 10>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y2^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y3 * Y1 * Y3 * Y2^-1, (R * Y2 * Y3)^2, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^6, (Y2^-2 * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 8, 44)(4, 40, 11, 47)(5, 41, 6, 42)(7, 43, 18, 54)(9, 45, 22, 58)(10, 46, 17, 53)(12, 48, 26, 62)(13, 49, 20, 56)(14, 50, 30, 66)(15, 51, 16, 52)(19, 55, 33, 69)(21, 57, 35, 71)(23, 59, 32, 68)(24, 60, 28, 64)(25, 61, 29, 65)(27, 63, 34, 70)(31, 67, 36, 72)(73, 109, 75, 111, 81, 117, 95, 131, 87, 123, 77, 113)(74, 110, 78, 114, 88, 124, 104, 140, 94, 130, 80, 116)(76, 112, 84, 120, 99, 135, 105, 141, 90, 126, 85, 121)(79, 115, 91, 127, 106, 142, 98, 134, 83, 119, 92, 128)(82, 118, 96, 132, 86, 122, 103, 139, 107, 143, 97, 133)(89, 125, 101, 137, 93, 129, 108, 144, 102, 138, 100, 136)
	L = (1, 76)(2, 79)(3, 82)(4, 73)(5, 86)(6, 89)(7, 74)(8, 93)(9, 90)(10, 75)(11, 88)(12, 100)(13, 101)(14, 77)(15, 99)(16, 83)(17, 78)(18, 81)(19, 97)(20, 96)(21, 80)(22, 106)(23, 107)(24, 92)(25, 91)(26, 103)(27, 87)(28, 84)(29, 85)(30, 104)(31, 98)(32, 102)(33, 108)(34, 94)(35, 95)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.579
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.557 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = S3 x S3 (small group id <36, 10>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y1 * Y2^-1 * Y3 * Y1 * Y3 * Y2, (Y3 * Y2^-2)^2, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^6, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1, Y2 * Y3 * Y1 * Y3 * Y2^-3 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 8, 44)(4, 40, 11, 47)(5, 41, 6, 42)(7, 43, 18, 54)(9, 45, 22, 58)(10, 46, 25, 61)(12, 48, 19, 55)(13, 49, 28, 64)(14, 50, 21, 57)(15, 51, 16, 52)(17, 53, 34, 70)(20, 56, 36, 72)(23, 59, 32, 68)(24, 60, 33, 69)(26, 62, 30, 66)(27, 63, 35, 71)(29, 65, 31, 67)(73, 109, 75, 111, 81, 117, 95, 131, 87, 123, 77, 113)(74, 110, 78, 114, 88, 124, 104, 140, 94, 130, 80, 116)(76, 112, 84, 120, 90, 126, 108, 144, 96, 132, 85, 121)(79, 115, 91, 127, 83, 119, 100, 136, 105, 141, 92, 128)(82, 118, 98, 134, 86, 122, 103, 139, 106, 142, 99, 135)(89, 125, 101, 137, 93, 129, 102, 138, 97, 133, 107, 143)
	L = (1, 76)(2, 79)(3, 82)(4, 73)(5, 86)(6, 89)(7, 74)(8, 93)(9, 96)(10, 75)(11, 94)(12, 101)(13, 102)(14, 77)(15, 90)(16, 105)(17, 78)(18, 87)(19, 98)(20, 103)(21, 80)(22, 83)(23, 106)(24, 81)(25, 104)(26, 91)(27, 100)(28, 99)(29, 84)(30, 85)(31, 92)(32, 97)(33, 88)(34, 95)(35, 108)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.578
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.558 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, Y3^3, (Y2 * Y3)^2, Y1 * Y3^-1 * Y1 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 8, 44)(5, 41, 13, 49)(6, 42, 10, 46)(7, 43, 14, 50)(9, 45, 16, 52)(12, 48, 18, 54)(15, 51, 22, 58)(17, 53, 25, 61)(19, 55, 26, 62)(20, 56, 27, 63)(21, 57, 28, 64)(23, 59, 29, 65)(24, 60, 30, 66)(31, 67, 34, 70)(32, 68, 35, 71)(33, 69, 36, 72)(73, 109, 75, 111, 76, 112, 84, 120, 78, 114, 77, 113)(74, 110, 79, 115, 80, 116, 87, 123, 82, 118, 81, 117)(83, 119, 89, 125, 90, 126, 92, 128, 85, 121, 91, 127)(86, 122, 93, 129, 94, 130, 96, 132, 88, 124, 95, 131)(97, 133, 103, 139, 99, 135, 105, 141, 98, 134, 104, 140)(100, 136, 106, 142, 102, 138, 108, 144, 101, 137, 107, 143)
	L = (1, 76)(2, 80)(3, 84)(4, 78)(5, 75)(6, 73)(7, 87)(8, 82)(9, 79)(10, 74)(11, 90)(12, 77)(13, 83)(14, 94)(15, 81)(16, 86)(17, 92)(18, 85)(19, 89)(20, 91)(21, 96)(22, 88)(23, 93)(24, 95)(25, 99)(26, 97)(27, 98)(28, 102)(29, 100)(30, 101)(31, 105)(32, 103)(33, 104)(34, 108)(35, 106)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.580
Graph:: bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.559 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-2 * R)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 8, 44)(5, 41, 9, 45)(6, 42, 10, 46)(11, 47, 17, 53)(12, 48, 18, 54)(13, 49, 19, 55)(14, 50, 20, 56)(15, 51, 21, 57)(16, 52, 22, 58)(23, 59, 28, 64)(24, 60, 29, 65)(25, 61, 30, 66)(26, 62, 31, 67)(27, 63, 32, 68)(33, 69, 35, 71)(34, 70, 36, 72)(73, 109, 75, 111, 83, 119, 95, 131, 88, 124, 77, 113)(74, 110, 79, 115, 89, 125, 100, 136, 94, 130, 81, 117)(76, 112, 85, 121, 96, 132, 106, 142, 98, 134, 86, 122)(78, 114, 84, 120, 97, 133, 105, 141, 99, 135, 87, 123)(80, 116, 91, 127, 101, 137, 108, 144, 103, 139, 92, 128)(82, 118, 90, 126, 102, 138, 107, 143, 104, 140, 93, 129)
	L = (1, 76)(2, 80)(3, 84)(4, 78)(5, 87)(6, 73)(7, 90)(8, 82)(9, 93)(10, 74)(11, 96)(12, 85)(13, 75)(14, 77)(15, 86)(16, 98)(17, 101)(18, 91)(19, 79)(20, 81)(21, 92)(22, 103)(23, 105)(24, 97)(25, 83)(26, 99)(27, 88)(28, 107)(29, 102)(30, 89)(31, 104)(32, 94)(33, 106)(34, 95)(35, 108)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.571
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.560 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3^-1 * Y2^-1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^6, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^3, (Y2^-2 * R)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 8, 44)(5, 41, 9, 45)(6, 42, 10, 46)(11, 47, 19, 55)(12, 48, 20, 56)(13, 49, 21, 57)(14, 50, 22, 58)(15, 51, 23, 59)(16, 52, 24, 60)(17, 53, 25, 61)(18, 54, 26, 62)(27, 63, 32, 68)(28, 64, 33, 69)(29, 65, 34, 70)(30, 66, 35, 71)(31, 67, 36, 72)(73, 109, 75, 111, 83, 119, 99, 135, 89, 125, 77, 113)(74, 110, 79, 115, 91, 127, 104, 140, 97, 133, 81, 117)(76, 112, 86, 122, 100, 136, 85, 121, 103, 139, 87, 123)(78, 114, 90, 126, 101, 137, 88, 124, 102, 138, 84, 120)(80, 116, 94, 130, 105, 141, 93, 129, 108, 144, 95, 131)(82, 118, 98, 134, 106, 142, 96, 132, 107, 143, 92, 128)
	L = (1, 76)(2, 80)(3, 84)(4, 78)(5, 88)(6, 73)(7, 92)(8, 82)(9, 96)(10, 74)(11, 100)(12, 85)(13, 75)(14, 77)(15, 99)(16, 86)(17, 103)(18, 87)(19, 105)(20, 93)(21, 79)(22, 81)(23, 104)(24, 94)(25, 108)(26, 95)(27, 90)(28, 101)(29, 83)(30, 89)(31, 102)(32, 98)(33, 106)(34, 91)(35, 97)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.577
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.561 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3 * Y2)^2, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2, Y1 * Y2^-1 * Y3 * Y1 * Y2^-1, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1, Y2^6, Y3 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, (Y2^-2 * R)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 15, 51)(5, 41, 18, 54)(6, 42, 21, 57)(7, 43, 19, 55)(8, 44, 26, 62)(9, 45, 22, 58)(10, 46, 30, 66)(12, 48, 23, 59)(13, 49, 34, 70)(14, 50, 25, 61)(16, 52, 27, 63)(17, 53, 28, 64)(20, 56, 29, 65)(24, 60, 32, 68)(31, 67, 35, 71)(33, 69, 36, 72)(73, 109, 75, 111, 84, 120, 104, 140, 92, 128, 77, 113)(74, 110, 79, 115, 95, 131, 106, 142, 101, 137, 81, 117)(76, 112, 88, 124, 102, 138, 86, 122, 107, 143, 89, 125)(78, 114, 94, 130, 105, 141, 91, 127, 98, 134, 85, 121)(80, 116, 99, 135, 93, 129, 97, 133, 108, 144, 100, 136)(82, 118, 90, 126, 103, 139, 83, 119, 87, 123, 96, 132)
	L = (1, 76)(2, 80)(3, 85)(4, 78)(5, 91)(6, 73)(7, 96)(8, 82)(9, 83)(10, 74)(11, 99)(12, 102)(13, 86)(14, 75)(15, 101)(16, 77)(17, 104)(18, 100)(19, 88)(20, 107)(21, 103)(22, 89)(23, 93)(24, 97)(25, 79)(26, 92)(27, 81)(28, 106)(29, 108)(30, 105)(31, 95)(32, 94)(33, 84)(34, 90)(35, 98)(36, 87)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.581
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.562 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R)^2, Y3^-1 * Y1 * Y3 * Y1, Y2^6, (Y2 * Y1)^3, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 8, 44)(5, 41, 17, 53)(6, 42, 10, 46)(7, 43, 18, 54)(9, 45, 24, 60)(12, 48, 19, 55)(13, 49, 25, 61)(14, 50, 27, 63)(15, 51, 22, 58)(16, 52, 30, 66)(20, 56, 31, 67)(21, 57, 33, 69)(23, 59, 36, 72)(26, 62, 34, 70)(28, 64, 32, 68)(29, 65, 35, 71)(73, 109, 75, 111, 84, 120, 100, 136, 87, 123, 77, 113)(74, 110, 79, 115, 91, 127, 106, 142, 94, 130, 81, 117)(76, 112, 85, 121, 78, 114, 86, 122, 101, 137, 88, 124)(80, 116, 92, 128, 82, 118, 93, 129, 107, 143, 95, 131)(83, 119, 96, 132, 104, 140, 90, 126, 89, 125, 98, 134)(97, 133, 108, 144, 99, 135, 103, 139, 102, 138, 105, 141)
	L = (1, 76)(2, 80)(3, 85)(4, 87)(5, 88)(6, 73)(7, 92)(8, 94)(9, 95)(10, 74)(11, 97)(12, 78)(13, 77)(14, 75)(15, 101)(16, 100)(17, 102)(18, 103)(19, 82)(20, 81)(21, 79)(22, 107)(23, 106)(24, 108)(25, 89)(26, 105)(27, 83)(28, 86)(29, 84)(30, 104)(31, 96)(32, 99)(33, 90)(34, 93)(35, 91)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.582
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.563 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2^2, (R * Y3)^2, (Y2^-1 * R)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, Y2^6, Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y1, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1, Y3^6, (Y3^-1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 15, 51)(5, 41, 18, 54)(6, 42, 19, 55)(7, 43, 20, 56)(8, 44, 24, 60)(9, 45, 27, 63)(10, 46, 28, 64)(12, 48, 21, 57)(13, 49, 22, 58)(14, 50, 23, 59)(16, 52, 25, 61)(17, 53, 26, 62)(29, 65, 36, 72)(30, 66, 35, 71)(31, 67, 34, 70)(32, 68, 33, 69)(73, 109, 75, 111, 84, 120, 103, 139, 88, 124, 77, 113)(74, 110, 79, 115, 93, 129, 107, 143, 97, 133, 81, 117)(76, 112, 85, 121, 78, 114, 86, 122, 104, 140, 89, 125)(80, 116, 94, 130, 82, 118, 95, 131, 108, 144, 98, 134)(83, 119, 99, 135, 106, 142, 92, 128, 90, 126, 102, 138)(87, 123, 101, 137, 91, 127, 96, 132, 105, 141, 100, 136)
	L = (1, 76)(2, 80)(3, 85)(4, 88)(5, 89)(6, 73)(7, 94)(8, 97)(9, 98)(10, 74)(11, 101)(12, 78)(13, 77)(14, 75)(15, 92)(16, 104)(17, 103)(18, 100)(19, 102)(20, 105)(21, 82)(22, 81)(23, 79)(24, 83)(25, 108)(26, 107)(27, 91)(28, 106)(29, 90)(30, 87)(31, 86)(32, 84)(33, 99)(34, 96)(35, 95)(36, 93)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.570
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.564 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (Y2^-1 * R)^2, (Y2^-1, Y1), (Y1^-1 * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^3 * Y1^3, Y2^6, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 19, 55, 16, 52, 5, 41)(3, 39, 8, 44, 20, 56, 18, 54, 26, 62, 13, 49)(4, 40, 14, 50, 29, 65, 32, 68, 21, 57, 9, 45)(6, 42, 10, 46, 22, 58, 11, 47, 23, 59, 17, 53)(12, 48, 28, 64, 36, 72, 31, 67, 33, 69, 24, 60)(15, 51, 30, 66, 35, 71, 27, 63, 34, 70, 25, 61)(73, 109, 75, 111, 83, 119, 91, 127, 90, 126, 78, 114)(74, 110, 80, 116, 95, 131, 88, 124, 98, 134, 82, 118)(76, 112, 84, 120, 99, 135, 104, 140, 103, 139, 87, 123)(77, 113, 85, 121, 94, 130, 79, 115, 92, 128, 89, 125)(81, 117, 96, 132, 107, 143, 101, 137, 108, 144, 97, 133)(86, 122, 100, 136, 106, 142, 93, 129, 105, 141, 102, 138)
	L = (1, 76)(2, 81)(3, 84)(4, 73)(5, 86)(6, 87)(7, 93)(8, 96)(9, 74)(10, 97)(11, 99)(12, 75)(13, 100)(14, 77)(15, 78)(16, 101)(17, 102)(18, 103)(19, 104)(20, 105)(21, 79)(22, 106)(23, 107)(24, 80)(25, 82)(26, 108)(27, 83)(28, 85)(29, 88)(30, 89)(31, 90)(32, 91)(33, 92)(34, 94)(35, 95)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.555
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.565 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^2 * Y3^-1, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1, Y3), Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 7, 43, 5, 41)(3, 39, 10, 46, 12, 48, 21, 57, 14, 50, 13, 49)(6, 42, 8, 44, 15, 51, 20, 56, 18, 54, 16, 52)(11, 47, 22, 58, 24, 60, 32, 68, 26, 62, 25, 61)(17, 53, 19, 55, 27, 63, 31, 67, 29, 65, 28, 64)(23, 59, 30, 66, 33, 69, 36, 72, 35, 71, 34, 70)(73, 109, 75, 111, 83, 119, 95, 131, 89, 125, 78, 114)(74, 110, 80, 116, 91, 127, 102, 138, 94, 130, 82, 118)(76, 112, 84, 120, 96, 132, 105, 141, 99, 135, 87, 123)(77, 113, 88, 124, 100, 136, 106, 142, 97, 133, 85, 121)(79, 115, 86, 122, 98, 134, 107, 143, 101, 137, 90, 126)(81, 117, 92, 128, 103, 139, 108, 144, 104, 140, 93, 129)
	L = (1, 76)(2, 81)(3, 84)(4, 79)(5, 74)(6, 87)(7, 73)(8, 92)(9, 77)(10, 93)(11, 96)(12, 86)(13, 82)(14, 75)(15, 90)(16, 80)(17, 99)(18, 78)(19, 103)(20, 88)(21, 85)(22, 104)(23, 105)(24, 98)(25, 94)(26, 83)(27, 101)(28, 91)(29, 89)(30, 108)(31, 100)(32, 97)(33, 107)(34, 102)(35, 95)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.550
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.566 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1), Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^6, Y2^-2 * Y3 * Y1^-1 * Y3 * Y1, Y3^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 13, 49, 5, 41)(3, 39, 9, 45, 6, 42, 11, 47, 25, 61, 15, 51)(4, 40, 17, 53, 24, 60, 12, 48, 32, 68, 18, 54)(7, 43, 22, 58, 26, 62, 20, 56, 29, 65, 10, 46)(14, 50, 33, 69, 19, 55, 28, 64, 35, 71, 31, 67)(16, 52, 30, 66, 21, 57, 34, 70, 36, 72, 27, 63)(73, 109, 75, 111, 85, 121, 97, 133, 80, 116, 78, 114)(74, 110, 81, 117, 77, 113, 87, 123, 95, 131, 83, 119)(76, 112, 86, 122, 104, 140, 107, 143, 96, 132, 91, 127)(79, 115, 88, 124, 101, 137, 108, 144, 98, 134, 93, 129)(82, 118, 99, 135, 92, 128, 106, 142, 94, 130, 102, 138)(84, 120, 100, 136, 89, 125, 105, 141, 90, 126, 103, 139)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 92)(6, 91)(7, 73)(8, 96)(9, 99)(10, 84)(11, 102)(12, 74)(13, 104)(14, 88)(15, 106)(16, 75)(17, 77)(18, 95)(19, 93)(20, 89)(21, 78)(22, 90)(23, 94)(24, 98)(25, 107)(26, 80)(27, 100)(28, 81)(29, 85)(30, 103)(31, 83)(32, 101)(33, 87)(34, 105)(35, 108)(36, 97)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.547
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.567 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^2, Y2 * Y3 * Y2 * Y1^-2, Y2^6, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, Y1^6, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 26, 62, 22, 58, 5, 41)(3, 39, 11, 47, 27, 63, 29, 65, 24, 60, 15, 51)(4, 40, 17, 53, 28, 64, 12, 48, 23, 59, 18, 54)(6, 42, 9, 45, 14, 50, 34, 70, 36, 72, 20, 56)(7, 43, 25, 61, 13, 49, 21, 57, 31, 67, 10, 46)(16, 52, 30, 66, 33, 69, 35, 71, 19, 55, 32, 68)(73, 109, 75, 111, 85, 121, 105, 141, 95, 131, 78, 114)(74, 110, 81, 117, 90, 126, 107, 143, 93, 129, 83, 119)(76, 112, 86, 122, 80, 116, 99, 135, 103, 139, 91, 127)(77, 113, 92, 128, 84, 120, 102, 138, 97, 133, 87, 123)(79, 115, 88, 124, 100, 136, 108, 144, 94, 130, 96, 132)(82, 118, 101, 137, 98, 134, 106, 142, 89, 125, 104, 140)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 93)(6, 91)(7, 73)(8, 100)(9, 101)(10, 84)(11, 104)(12, 74)(13, 80)(14, 88)(15, 107)(16, 75)(17, 77)(18, 98)(19, 96)(20, 83)(21, 89)(22, 95)(23, 103)(24, 78)(25, 90)(26, 97)(27, 108)(28, 85)(29, 102)(30, 81)(31, 94)(32, 92)(33, 99)(34, 87)(35, 106)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.545
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.568 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1^-2, (Y2, Y1^-1), (Y3^-1, Y2), (R * Y2)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y2^-2 * Y1^-1, Y2^-2 * Y1^-4, Y2^6, (Y2^-1 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 19, 55, 5, 41)(3, 39, 9, 45, 24, 60, 20, 56, 6, 42, 11, 47)(4, 40, 15, 51, 25, 61, 12, 48, 32, 68, 16, 52)(7, 43, 22, 58, 26, 62, 18, 54, 29, 65, 10, 46)(13, 49, 31, 67, 35, 71, 28, 64, 17, 53, 33, 69)(14, 50, 34, 70, 36, 72, 30, 66, 21, 57, 27, 63)(73, 109, 75, 111, 80, 116, 96, 132, 91, 127, 78, 114)(74, 110, 81, 117, 95, 131, 92, 128, 77, 113, 83, 119)(76, 112, 85, 121, 97, 133, 107, 143, 104, 140, 89, 125)(79, 115, 86, 122, 98, 134, 108, 144, 101, 137, 93, 129)(82, 118, 99, 135, 94, 130, 106, 142, 90, 126, 102, 138)(84, 120, 100, 136, 88, 124, 105, 141, 87, 123, 103, 139)
	L = (1, 76)(2, 82)(3, 85)(4, 79)(5, 90)(6, 89)(7, 73)(8, 97)(9, 99)(10, 84)(11, 102)(12, 74)(13, 86)(14, 75)(15, 77)(16, 95)(17, 93)(18, 87)(19, 104)(20, 106)(21, 78)(22, 88)(23, 94)(24, 107)(25, 98)(26, 80)(27, 100)(28, 81)(29, 91)(30, 103)(31, 83)(32, 101)(33, 92)(34, 105)(35, 108)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.553
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.569 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (R * Y3)^2, (Y3^-1, Y2), (Y3 * Y1)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y3^-1 * Y1, Y2^2 * Y1^2 * Y3^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^6, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 26, 62, 22, 58, 5, 41)(3, 39, 11, 47, 19, 55, 36, 72, 35, 71, 15, 51)(4, 40, 17, 53, 27, 63, 12, 48, 13, 49, 18, 54)(6, 42, 9, 45, 28, 64, 31, 67, 16, 52, 20, 56)(7, 43, 25, 61, 23, 59, 21, 57, 30, 66, 10, 46)(14, 50, 29, 65, 24, 60, 32, 68, 33, 69, 34, 70)(73, 109, 75, 111, 85, 121, 105, 141, 95, 131, 78, 114)(74, 110, 81, 117, 93, 129, 106, 142, 90, 126, 83, 119)(76, 112, 86, 122, 102, 138, 100, 136, 80, 116, 91, 127)(77, 113, 92, 128, 97, 133, 104, 140, 84, 120, 87, 123)(79, 115, 88, 124, 94, 130, 107, 143, 99, 135, 96, 132)(82, 118, 101, 137, 89, 125, 108, 144, 98, 134, 103, 139)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 93)(6, 91)(7, 73)(8, 99)(9, 101)(10, 84)(11, 103)(12, 74)(13, 102)(14, 88)(15, 81)(16, 75)(17, 77)(18, 98)(19, 96)(20, 106)(21, 89)(22, 85)(23, 80)(24, 78)(25, 90)(26, 97)(27, 95)(28, 107)(29, 87)(30, 94)(31, 104)(32, 83)(33, 100)(34, 108)(35, 105)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.551
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.570 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^2, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, (Y1, Y2^-1), Y2^-2 * Y1 * Y3^-2 * Y1^-1, Y3^-2 * Y2 * Y1^-3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^2, Y3^-2 * Y2 * Y1^3, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-2, Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1, Y2 * Y1^-1 * Y3^-2 * Y1^-2, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 25, 61, 22, 58, 5, 41)(3, 39, 9, 45, 26, 62, 18, 54, 33, 69, 15, 51)(4, 40, 17, 53, 31, 67, 16, 52, 29, 65, 19, 55)(6, 42, 11, 47, 28, 64, 13, 49, 30, 66, 23, 59)(7, 43, 24, 60, 32, 68, 20, 56, 34, 70, 10, 46)(12, 48, 36, 72, 21, 57, 35, 71, 14, 50, 27, 63)(73, 109, 75, 111, 85, 121, 97, 133, 90, 126, 78, 114)(74, 110, 81, 117, 102, 138, 94, 130, 105, 141, 83, 119)(76, 112, 86, 122, 79, 115, 88, 124, 108, 144, 92, 128)(77, 113, 87, 123, 100, 136, 80, 116, 98, 134, 95, 131)(82, 118, 103, 139, 84, 120, 104, 140, 91, 127, 107, 143)(89, 125, 99, 135, 96, 132, 101, 137, 93, 129, 106, 142)
	L = (1, 76)(2, 82)(3, 86)(4, 90)(5, 93)(6, 92)(7, 73)(8, 99)(9, 103)(10, 105)(11, 107)(12, 74)(13, 79)(14, 78)(15, 106)(16, 75)(17, 77)(18, 108)(19, 102)(20, 97)(21, 98)(22, 104)(23, 101)(24, 100)(25, 88)(26, 96)(27, 87)(28, 89)(29, 80)(30, 84)(31, 83)(32, 81)(33, 91)(34, 95)(35, 94)(36, 85)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.563
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.571 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, (Y3 * Y1)^2, Y2 * Y3 * Y2 * Y3^-1, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y1 * Y2^-2, Y3^-2 * Y1^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 18, 54, 5, 41)(3, 39, 11, 47, 24, 60, 34, 70, 29, 65, 15, 51)(4, 40, 10, 46, 7, 43, 12, 48, 26, 62, 19, 55)(6, 42, 9, 45, 25, 61, 33, 69, 31, 67, 20, 56)(13, 49, 22, 58, 27, 63, 36, 72, 32, 68, 17, 53)(14, 50, 21, 57, 16, 52, 28, 64, 35, 71, 30, 66)(73, 109, 75, 111, 85, 121, 82, 118, 93, 129, 78, 114)(74, 110, 81, 117, 88, 124, 79, 115, 94, 130, 83, 119)(76, 112, 89, 125, 87, 123, 77, 113, 92, 128, 86, 122)(80, 116, 96, 132, 99, 135, 84, 120, 100, 136, 97, 133)(90, 126, 101, 137, 104, 140, 91, 127, 102, 138, 103, 139)(95, 131, 105, 141, 107, 143, 98, 134, 108, 144, 106, 142)
	L = (1, 76)(2, 82)(3, 86)(4, 90)(5, 91)(6, 89)(7, 73)(8, 79)(9, 85)(10, 77)(11, 93)(12, 74)(13, 92)(14, 101)(15, 102)(16, 75)(17, 103)(18, 98)(19, 95)(20, 104)(21, 87)(22, 78)(23, 84)(24, 88)(25, 94)(26, 80)(27, 81)(28, 83)(29, 107)(30, 106)(31, 108)(32, 105)(33, 99)(34, 100)(35, 96)(36, 97)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.559
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.572 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2)^2, (R * Y2)^2, (Y2^-1, Y3), (Y3^-1 * Y1^-1)^2, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 7, 43, 5, 41)(3, 39, 11, 47, 13, 49, 10, 46, 15, 51, 14, 50)(6, 42, 18, 54, 16, 52, 17, 53, 20, 56, 8, 44)(12, 48, 24, 60, 26, 62, 23, 59, 27, 63, 22, 58)(19, 55, 29, 65, 28, 64, 21, 57, 31, 67, 30, 66)(25, 61, 32, 68, 35, 71, 34, 70, 36, 72, 33, 69)(73, 109, 75, 111, 84, 120, 97, 133, 91, 127, 78, 114)(74, 110, 80, 116, 93, 129, 104, 140, 94, 130, 82, 118)(76, 112, 85, 121, 98, 134, 107, 143, 100, 136, 88, 124)(77, 113, 89, 125, 101, 137, 105, 141, 95, 131, 83, 119)(79, 115, 87, 123, 99, 135, 108, 144, 103, 139, 92, 128)(81, 117, 90, 126, 102, 138, 106, 142, 96, 132, 86, 122)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 74)(6, 88)(7, 73)(8, 90)(9, 77)(10, 86)(11, 82)(12, 98)(13, 87)(14, 83)(15, 75)(16, 92)(17, 80)(18, 89)(19, 100)(20, 78)(21, 102)(22, 96)(23, 94)(24, 95)(25, 107)(26, 99)(27, 84)(28, 103)(29, 93)(30, 101)(31, 91)(32, 106)(33, 104)(34, 105)(35, 108)(36, 97)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.546
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.573 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3 * Y1^-2, (Y2, Y3), (R * Y1)^2, (R * Y3)^2, (Y1 * Y2^-1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, Y3^-1 * Y1^-1 * Y2 * Y1 * Y2, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 7, 43, 5, 41)(3, 39, 11, 47, 13, 49, 17, 53, 14, 50, 10, 46)(6, 42, 16, 52, 15, 51, 8, 44, 20, 56, 18, 54)(12, 48, 24, 60, 26, 62, 22, 58, 27, 63, 23, 59)(19, 55, 30, 66, 28, 64, 29, 65, 31, 67, 21, 57)(25, 61, 32, 68, 35, 71, 33, 69, 36, 72, 34, 70)(73, 109, 75, 111, 84, 120, 97, 133, 91, 127, 78, 114)(74, 110, 80, 116, 93, 129, 104, 140, 94, 130, 82, 118)(76, 112, 85, 121, 98, 134, 107, 143, 100, 136, 87, 123)(77, 113, 88, 124, 101, 137, 106, 142, 96, 132, 89, 125)(79, 115, 86, 122, 99, 135, 108, 144, 103, 139, 92, 128)(81, 117, 90, 126, 102, 138, 105, 141, 95, 131, 83, 119)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 74)(6, 87)(7, 73)(8, 90)(9, 77)(10, 83)(11, 89)(12, 98)(13, 86)(14, 75)(15, 92)(16, 80)(17, 82)(18, 88)(19, 100)(20, 78)(21, 102)(22, 95)(23, 96)(24, 94)(25, 107)(26, 99)(27, 84)(28, 103)(29, 93)(30, 101)(31, 91)(32, 105)(33, 106)(34, 104)(35, 108)(36, 97)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.552
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.574 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2^-1 * Y1^-1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2), (R * Y1)^2, Y2 * Y3^-1 * Y2 * Y1^-2, Y2^2 * Y1^-1 * Y3 * Y1, Y3 * Y2^2 * Y3 * Y1^-2, Y2^6, Y1^6, Y1^-2 * Y3 * Y1^-2 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 28, 64, 23, 59, 5, 41)(3, 39, 13, 49, 29, 65, 11, 47, 20, 56, 16, 52)(4, 40, 18, 54, 14, 50, 12, 48, 34, 70, 19, 55)(6, 42, 24, 60, 17, 53, 21, 57, 32, 68, 9, 45)(7, 43, 27, 63, 30, 66, 22, 58, 25, 61, 10, 46)(15, 51, 31, 67, 36, 72, 35, 71, 26, 62, 33, 69)(73, 109, 75, 111, 86, 122, 108, 144, 97, 133, 78, 114)(74, 110, 81, 117, 99, 135, 107, 143, 90, 126, 83, 119)(76, 112, 87, 123, 102, 138, 104, 140, 95, 131, 92, 128)(77, 113, 93, 129, 82, 118, 103, 139, 91, 127, 85, 121)(79, 115, 89, 125, 80, 116, 101, 137, 106, 142, 98, 134)(84, 120, 88, 124, 100, 136, 96, 132, 94, 130, 105, 141)
	L = (1, 76)(2, 82)(3, 87)(4, 79)(5, 94)(6, 92)(7, 73)(8, 86)(9, 103)(10, 84)(11, 93)(12, 74)(13, 96)(14, 102)(15, 89)(16, 81)(17, 75)(18, 77)(19, 100)(20, 98)(21, 105)(22, 90)(23, 106)(24, 107)(25, 95)(26, 78)(27, 91)(28, 99)(29, 108)(30, 80)(31, 88)(32, 101)(33, 83)(34, 97)(35, 85)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.549
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.575 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2 * Y1^-1)^2, (R * Y2)^2, (Y3 * Y1)^2, (R * Y1)^2, (Y3^-1, Y2), (R * Y3)^2, Y1 * Y2 * Y1 * Y2^-1 * Y3^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^6, Y2^6, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 28, 64, 22, 58, 5, 41)(3, 39, 13, 49, 26, 62, 23, 59, 33, 69, 11, 47)(4, 40, 17, 53, 25, 61, 12, 48, 34, 70, 18, 54)(6, 42, 20, 56, 29, 65, 9, 45, 15, 51, 24, 60)(7, 43, 27, 63, 30, 66, 21, 57, 14, 50, 10, 46)(16, 52, 31, 67, 19, 55, 32, 68, 36, 72, 35, 71)(73, 109, 75, 111, 86, 122, 108, 144, 97, 133, 78, 114)(74, 110, 81, 117, 89, 125, 107, 143, 99, 135, 83, 119)(76, 112, 87, 123, 94, 130, 105, 141, 102, 138, 91, 127)(77, 113, 92, 128, 90, 126, 104, 140, 82, 118, 95, 131)(79, 115, 88, 124, 106, 142, 101, 137, 80, 116, 98, 134)(84, 120, 103, 139, 93, 129, 85, 121, 100, 136, 96, 132)
	L = (1, 76)(2, 82)(3, 87)(4, 79)(5, 93)(6, 91)(7, 73)(8, 97)(9, 95)(10, 84)(11, 104)(12, 74)(13, 107)(14, 94)(15, 88)(16, 75)(17, 77)(18, 100)(19, 98)(20, 85)(21, 89)(22, 106)(23, 103)(24, 83)(25, 102)(26, 78)(27, 90)(28, 99)(29, 108)(30, 80)(31, 81)(32, 96)(33, 101)(34, 86)(35, 92)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.548
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.576 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y3^3, (Y1^-1 * Y2)^2, (Y1^-1 * Y3^-1)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y1^3, Y1^6, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y2^-1 * Y1^-3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 19, 55, 5, 41)(3, 39, 13, 49, 24, 60, 20, 56, 31, 67, 11, 47)(4, 40, 15, 51, 25, 61, 12, 48, 32, 68, 16, 52)(6, 42, 17, 53, 26, 62, 9, 45, 28, 64, 21, 57)(7, 43, 22, 58, 27, 63, 18, 54, 30, 66, 10, 46)(14, 50, 29, 65, 35, 71, 33, 69, 36, 72, 34, 70)(73, 109, 75, 111, 76, 112, 86, 122, 79, 115, 78, 114)(74, 110, 81, 117, 82, 118, 101, 137, 84, 120, 83, 119)(77, 113, 89, 125, 90, 126, 106, 142, 87, 123, 92, 128)(80, 116, 96, 132, 97, 133, 107, 143, 99, 135, 98, 134)(85, 121, 95, 131, 93, 129, 94, 130, 105, 141, 88, 124)(91, 127, 103, 139, 104, 140, 108, 144, 102, 138, 100, 136)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 90)(6, 75)(7, 73)(8, 97)(9, 101)(10, 84)(11, 81)(12, 74)(13, 93)(14, 78)(15, 77)(16, 95)(17, 106)(18, 87)(19, 104)(20, 89)(21, 105)(22, 88)(23, 94)(24, 107)(25, 99)(26, 96)(27, 80)(28, 103)(29, 83)(30, 91)(31, 108)(32, 102)(33, 85)(34, 92)(35, 98)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.554
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.577 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, (Y3^-1, Y1^-1), (Y2 * Y1^-1)^2, (R * Y3)^2, Y1 * Y2^3 * Y3, Y3^2 * Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y1^6, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 27, 63, 18, 54, 5, 41)(3, 39, 13, 49, 28, 64, 22, 58, 35, 71, 11, 47)(4, 40, 10, 46, 7, 43, 12, 48, 30, 66, 19, 55)(6, 42, 21, 57, 29, 65, 9, 45, 31, 67, 24, 60)(14, 50, 17, 53, 32, 68, 26, 62, 33, 69, 23, 59)(15, 51, 25, 61, 16, 52, 36, 72, 20, 56, 34, 70)(73, 109, 75, 111, 86, 122, 82, 118, 97, 133, 78, 114)(74, 110, 81, 117, 87, 123, 79, 115, 98, 134, 83, 119)(76, 112, 89, 125, 94, 130, 77, 113, 93, 129, 92, 128)(80, 116, 100, 136, 104, 140, 84, 120, 108, 144, 101, 137)(85, 121, 99, 135, 96, 132, 88, 124, 102, 138, 95, 131)(90, 126, 107, 143, 105, 141, 91, 127, 106, 142, 103, 139)
	L = (1, 76)(2, 82)(3, 87)(4, 90)(5, 91)(6, 95)(7, 73)(8, 79)(9, 104)(10, 77)(11, 106)(12, 74)(13, 97)(14, 96)(15, 107)(16, 75)(17, 78)(18, 102)(19, 99)(20, 100)(21, 86)(22, 108)(23, 103)(24, 105)(25, 83)(26, 101)(27, 84)(28, 88)(29, 89)(30, 80)(31, 98)(32, 93)(33, 81)(34, 94)(35, 92)(36, 85)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.560
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.578 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = S3 x S3 (small group id <36, 10>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, (Y2^-1 * Y1)^2, (Y2^-1 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y2^2 * Y3, Y2 * Y1^-1 * Y2^-2 * Y3, Y1^-2 * R * Y2 * R * Y2^-1, (R * Y2 * Y3)^2, Y1^6, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 21, 57, 18, 54, 5, 41)(3, 39, 11, 47, 27, 63, 34, 70, 22, 58, 10, 46)(4, 40, 14, 50, 29, 65, 33, 69, 23, 59, 9, 45)(6, 42, 17, 53, 30, 66, 32, 68, 24, 60, 8, 44)(12, 48, 15, 51, 26, 62, 35, 71, 31, 67, 19, 55)(13, 49, 20, 56, 16, 52, 25, 61, 36, 72, 28, 64)(73, 109, 75, 111, 84, 120, 86, 122, 92, 128, 78, 114)(74, 110, 80, 116, 88, 124, 76, 112, 87, 123, 82, 118)(77, 113, 89, 125, 85, 121, 101, 137, 91, 127, 83, 119)(79, 115, 94, 130, 98, 134, 81, 117, 97, 133, 96, 132)(90, 126, 99, 135, 103, 139, 105, 141, 100, 136, 102, 138)(93, 129, 104, 140, 108, 144, 95, 131, 107, 143, 106, 142)
	L = (1, 76)(2, 81)(3, 85)(4, 73)(5, 86)(6, 91)(7, 95)(8, 84)(9, 74)(10, 92)(11, 100)(12, 80)(13, 75)(14, 77)(15, 96)(16, 94)(17, 103)(18, 101)(19, 78)(20, 82)(21, 105)(22, 88)(23, 79)(24, 87)(25, 106)(26, 104)(27, 108)(28, 83)(29, 90)(30, 107)(31, 89)(32, 98)(33, 93)(34, 97)(35, 102)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.557
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.579 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = S3 x S3 (small group id <36, 10>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (R * Y1)^2, (Y1^-1 * Y3)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y1^-1 * Y2^-3 * Y3, Y2^-1 * Y1^-1 * Y2 * Y3 * Y2^-1, (R * Y2 * Y3)^2, Y1^6, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 21, 57, 18, 54, 5, 41)(3, 39, 11, 47, 27, 63, 34, 70, 22, 58, 10, 46)(4, 40, 14, 50, 28, 64, 33, 69, 23, 59, 9, 45)(6, 42, 17, 53, 31, 67, 32, 68, 24, 60, 8, 44)(12, 48, 19, 55, 25, 61, 36, 72, 30, 66, 15, 51)(13, 49, 26, 62, 35, 71, 29, 65, 16, 52, 20, 56)(73, 109, 75, 111, 84, 120, 81, 117, 92, 128, 78, 114)(74, 110, 80, 116, 85, 121, 95, 131, 91, 127, 82, 118)(76, 112, 87, 123, 83, 119, 77, 113, 89, 125, 88, 124)(79, 115, 94, 130, 97, 133, 105, 141, 98, 134, 96, 132)(86, 122, 101, 137, 103, 139, 90, 126, 99, 135, 102, 138)(93, 129, 104, 140, 107, 143, 100, 136, 108, 144, 106, 142)
	L = (1, 76)(2, 81)(3, 85)(4, 73)(5, 86)(6, 91)(7, 95)(8, 97)(9, 74)(10, 98)(11, 92)(12, 89)(13, 75)(14, 77)(15, 103)(16, 99)(17, 84)(18, 100)(19, 78)(20, 83)(21, 105)(22, 107)(23, 79)(24, 108)(25, 80)(26, 82)(27, 88)(28, 90)(29, 106)(30, 104)(31, 87)(32, 102)(33, 93)(34, 101)(35, 94)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.556
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.580 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y3^-1, Y1 * Y3^-1 * Y1, (Y3 * Y2)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 7, 43, 5, 41)(3, 39, 11, 47, 12, 48, 15, 51, 6, 42, 13, 49)(8, 44, 16, 52, 14, 50, 18, 54, 10, 46, 17, 53)(19, 55, 25, 61, 21, 57, 27, 63, 20, 56, 26, 62)(22, 58, 28, 64, 24, 60, 30, 66, 23, 59, 29, 65)(31, 67, 34, 70, 33, 69, 36, 72, 32, 68, 35, 71)(73, 109, 75, 111, 76, 112, 84, 120, 79, 115, 78, 114)(74, 110, 80, 116, 81, 117, 86, 122, 77, 113, 82, 118)(83, 119, 91, 127, 87, 123, 93, 129, 85, 121, 92, 128)(88, 124, 94, 130, 90, 126, 96, 132, 89, 125, 95, 131)(97, 133, 103, 139, 99, 135, 105, 141, 98, 134, 104, 140)(100, 136, 106, 142, 102, 138, 108, 144, 101, 137, 107, 143)
	L = (1, 76)(2, 81)(3, 84)(4, 79)(5, 74)(6, 75)(7, 73)(8, 86)(9, 77)(10, 80)(11, 87)(12, 78)(13, 83)(14, 82)(15, 85)(16, 90)(17, 88)(18, 89)(19, 93)(20, 91)(21, 92)(22, 96)(23, 94)(24, 95)(25, 99)(26, 97)(27, 98)(28, 102)(29, 100)(30, 101)(31, 105)(32, 103)(33, 104)(34, 108)(35, 106)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.558
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.581 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1^-2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (Y2^-1 * Y3^-1)^2, Y1 * Y2 * Y1 * Y2 * Y3, Y2 * Y1^-1 * Y2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y1^-4 * Y2^-2, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 28, 64, 22, 58, 5, 41)(3, 39, 13, 49, 29, 65, 25, 61, 6, 42, 15, 51)(4, 40, 17, 53, 30, 66, 12, 48, 36, 72, 19, 55)(7, 43, 26, 62, 31, 67, 21, 57, 34, 70, 10, 46)(9, 45, 14, 50, 23, 59, 27, 63, 11, 47, 24, 60)(16, 52, 32, 68, 20, 56, 35, 71, 18, 54, 33, 69)(73, 109, 75, 111, 80, 116, 101, 137, 94, 130, 78, 114)(74, 110, 81, 117, 100, 136, 95, 131, 77, 113, 83, 119)(76, 112, 90, 126, 102, 138, 88, 124, 108, 144, 92, 128)(79, 115, 99, 135, 103, 139, 96, 132, 106, 142, 86, 122)(82, 118, 105, 141, 98, 134, 104, 140, 93, 129, 107, 143)(84, 120, 87, 123, 91, 127, 85, 121, 89, 125, 97, 133)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 93)(6, 96)(7, 73)(8, 102)(9, 97)(10, 84)(11, 85)(12, 74)(13, 105)(14, 88)(15, 107)(16, 75)(17, 77)(18, 78)(19, 100)(20, 101)(21, 89)(22, 108)(23, 87)(24, 90)(25, 104)(26, 91)(27, 92)(28, 98)(29, 99)(30, 103)(31, 80)(32, 81)(33, 83)(34, 94)(35, 95)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.561
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.582 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2^-1), Y3^-2 * Y1^-2, (Y3^-1, Y1^-1), Y2^-2 * Y3^-2, (R * Y2)^2, Y2^2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, Y1^6, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 17, 53, 5, 41)(3, 39, 13, 49, 23, 59, 21, 57, 6, 42, 15, 51)(4, 40, 10, 46, 7, 43, 12, 48, 24, 60, 18, 54)(9, 45, 25, 61, 20, 56, 30, 66, 11, 47, 27, 63)(14, 50, 31, 67, 16, 52, 32, 68, 19, 55, 33, 69)(26, 62, 34, 70, 28, 64, 35, 71, 29, 65, 36, 72)(73, 109, 75, 111, 80, 116, 95, 131, 89, 125, 78, 114)(74, 110, 81, 117, 94, 130, 92, 128, 77, 113, 83, 119)(76, 112, 86, 122, 79, 115, 88, 124, 96, 132, 91, 127)(82, 118, 98, 134, 84, 120, 100, 136, 90, 126, 101, 137)(85, 121, 97, 133, 93, 129, 102, 138, 87, 123, 99, 135)(103, 139, 106, 142, 104, 140, 107, 143, 105, 141, 108, 144)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 79)(9, 98)(10, 77)(11, 101)(12, 74)(13, 103)(14, 78)(15, 105)(16, 75)(17, 96)(18, 94)(19, 95)(20, 100)(21, 104)(22, 84)(23, 88)(24, 80)(25, 106)(26, 83)(27, 108)(28, 81)(29, 92)(30, 107)(31, 87)(32, 85)(33, 93)(34, 99)(35, 97)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.562
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.583 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x C6 (small group id <36, 14>)
Aut   = C2 x C2 x ((C3 x C3) : C2) (small group id <72, 49>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y2^-1 * Y1, (R * Y2)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 8, 44)(5, 41, 9, 45)(6, 42, 10, 46)(11, 47, 17, 53)(12, 48, 18, 54)(13, 49, 19, 55)(14, 50, 20, 56)(15, 51, 21, 57)(16, 52, 22, 58)(23, 59, 28, 64)(24, 60, 29, 65)(25, 61, 30, 66)(26, 62, 31, 67)(27, 63, 32, 68)(33, 69, 35, 71)(34, 70, 36, 72)(73, 109, 75, 111, 83, 119, 95, 131, 87, 123, 77, 113)(74, 110, 79, 115, 89, 125, 100, 136, 93, 129, 81, 117)(76, 112, 84, 120, 96, 132, 105, 141, 98, 134, 86, 122)(78, 114, 85, 121, 97, 133, 106, 142, 99, 135, 88, 124)(80, 116, 90, 126, 101, 137, 107, 143, 103, 139, 92, 128)(82, 118, 91, 127, 102, 138, 108, 144, 104, 140, 94, 130)
	L = (1, 76)(2, 80)(3, 84)(4, 78)(5, 86)(6, 73)(7, 90)(8, 82)(9, 92)(10, 74)(11, 96)(12, 85)(13, 75)(14, 88)(15, 98)(16, 77)(17, 101)(18, 91)(19, 79)(20, 94)(21, 103)(22, 81)(23, 105)(24, 97)(25, 83)(26, 99)(27, 87)(28, 107)(29, 102)(30, 89)(31, 104)(32, 93)(33, 106)(34, 95)(35, 108)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.584
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.584 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x C6 (small group id <36, 14>)
Aut   = C2 x C2 x ((C3 x C3) : C2) (small group id <72, 49>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^2 * Y3^-1, (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y2, Y3), (Y3^-1 * Y1^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 7, 43, 5, 41)(3, 39, 8, 44, 12, 48, 20, 56, 14, 50, 13, 49)(6, 42, 10, 46, 15, 51, 21, 57, 18, 54, 16, 52)(11, 47, 19, 55, 24, 60, 31, 67, 26, 62, 25, 61)(17, 53, 22, 58, 27, 63, 32, 68, 29, 65, 28, 64)(23, 59, 30, 66, 33, 69, 36, 72, 35, 71, 34, 70)(73, 109, 75, 111, 83, 119, 95, 131, 89, 125, 78, 114)(74, 110, 80, 116, 91, 127, 102, 138, 94, 130, 82, 118)(76, 112, 84, 120, 96, 132, 105, 141, 99, 135, 87, 123)(77, 113, 85, 121, 97, 133, 106, 142, 100, 136, 88, 124)(79, 115, 86, 122, 98, 134, 107, 143, 101, 137, 90, 126)(81, 117, 92, 128, 103, 139, 108, 144, 104, 140, 93, 129)
	L = (1, 76)(2, 81)(3, 84)(4, 79)(5, 74)(6, 87)(7, 73)(8, 92)(9, 77)(10, 93)(11, 96)(12, 86)(13, 80)(14, 75)(15, 90)(16, 82)(17, 99)(18, 78)(19, 103)(20, 85)(21, 88)(22, 104)(23, 105)(24, 98)(25, 91)(26, 83)(27, 101)(28, 94)(29, 89)(30, 108)(31, 97)(32, 100)(33, 107)(34, 102)(35, 95)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.583
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.585 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3 * Y2^-1, Y3^4, (Y2^-1, Y1^-1), Y3 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 15, 51, 7, 43)(2, 38, 9, 45, 23, 59, 11, 47)(3, 39, 12, 48, 26, 62, 14, 50)(5, 41, 17, 53, 29, 65, 19, 55)(6, 42, 16, 52, 30, 66, 20, 56)(8, 44, 21, 57, 33, 69, 22, 58)(10, 46, 24, 60, 34, 70, 25, 61)(13, 49, 27, 63, 35, 71, 28, 64)(18, 54, 31, 67, 36, 72, 32, 68)(73, 74, 77)(75, 80, 85)(76, 84, 88)(78, 82, 90)(79, 86, 92)(81, 93, 96)(83, 94, 97)(87, 95, 101)(89, 99, 103)(91, 100, 104)(98, 105, 107)(102, 106, 108)(109, 111, 114)(110, 116, 118)(112, 117, 125)(113, 121, 126)(115, 119, 127)(120, 129, 135)(122, 130, 136)(123, 134, 138)(124, 132, 139)(128, 133, 140)(131, 141, 142)(137, 143, 144)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 48^3 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E19.588
Graph:: simple bipartite
	v = 33 e = 72 f = 3
	degree seq :: [ 3^24, 8^9 ]

E19.586 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-1 * Y2 * Y3 * Y1^-1, (Y1^-1, Y2), R * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3 * Y2, Y3^-2 * Y2^-1 * Y1^-1 * Y3^-2, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 15, 51, 32, 68, 18, 54, 35, 71, 36, 72, 23, 59, 8, 44, 22, 58, 21, 57, 7, 43)(2, 38, 9, 45, 24, 60, 20, 56, 6, 42, 16, 52, 34, 70, 30, 66, 13, 49, 29, 65, 27, 63, 11, 47)(3, 39, 12, 48, 28, 64, 19, 55, 5, 41, 17, 53, 33, 69, 26, 62, 10, 46, 25, 61, 31, 67, 14, 50)(73, 74, 77)(75, 80, 85)(76, 84, 88)(78, 82, 90)(79, 86, 92)(81, 94, 97)(83, 95, 98)(87, 96, 105)(89, 101, 107)(91, 102, 104)(93, 99, 100)(103, 108, 106)(109, 111, 114)(110, 116, 118)(112, 117, 125)(113, 121, 126)(115, 119, 127)(120, 130, 137)(122, 131, 138)(123, 136, 142)(124, 133, 143)(128, 134, 140)(129, 139, 132)(135, 144, 141)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^3 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E19.587
Graph:: simple bipartite
	v = 27 e = 72 f = 9
	degree seq :: [ 3^24, 24^3 ]

E19.587 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3 * Y2^-1, Y3^4, (Y2^-1, Y1^-1), Y3 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 15, 51, 87, 123, 7, 43, 79, 115)(2, 38, 74, 110, 9, 45, 81, 117, 23, 59, 95, 131, 11, 47, 83, 119)(3, 39, 75, 111, 12, 48, 84, 120, 26, 62, 98, 134, 14, 50, 86, 122)(5, 41, 77, 113, 17, 53, 89, 125, 29, 65, 101, 137, 19, 55, 91, 127)(6, 42, 78, 114, 16, 52, 88, 124, 30, 66, 102, 138, 20, 56, 92, 128)(8, 44, 80, 116, 21, 57, 93, 129, 33, 69, 105, 141, 22, 58, 94, 130)(10, 46, 82, 118, 24, 60, 96, 132, 34, 70, 106, 142, 25, 61, 97, 133)(13, 49, 85, 121, 27, 63, 99, 135, 35, 71, 107, 143, 28, 64, 100, 136)(18, 54, 90, 126, 31, 67, 103, 139, 36, 72, 108, 144, 32, 68, 104, 140)
	L = (1, 38)(2, 41)(3, 44)(4, 48)(5, 37)(6, 46)(7, 50)(8, 49)(9, 57)(10, 54)(11, 58)(12, 52)(13, 39)(14, 56)(15, 59)(16, 40)(17, 63)(18, 42)(19, 64)(20, 43)(21, 60)(22, 61)(23, 65)(24, 45)(25, 47)(26, 69)(27, 67)(28, 68)(29, 51)(30, 70)(31, 53)(32, 55)(33, 71)(34, 72)(35, 62)(36, 66)(73, 111)(74, 116)(75, 114)(76, 117)(77, 121)(78, 109)(79, 119)(80, 118)(81, 125)(82, 110)(83, 127)(84, 129)(85, 126)(86, 130)(87, 134)(88, 132)(89, 112)(90, 113)(91, 115)(92, 133)(93, 135)(94, 136)(95, 141)(96, 139)(97, 140)(98, 138)(99, 120)(100, 122)(101, 143)(102, 123)(103, 124)(104, 128)(105, 142)(106, 131)(107, 144)(108, 137)
	local type(s) :: { ( 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.586
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 27
	degree seq :: [ 16^9 ]

E19.588 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-1 * Y2 * Y3 * Y1^-1, (Y1^-1, Y2), R * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3 * Y2, Y3^-2 * Y2^-1 * Y1^-1 * Y3^-2, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 15, 51, 87, 123, 32, 68, 104, 140, 18, 54, 90, 126, 35, 71, 107, 143, 36, 72, 108, 144, 23, 59, 95, 131, 8, 44, 80, 116, 22, 58, 94, 130, 21, 57, 93, 129, 7, 43, 79, 115)(2, 38, 74, 110, 9, 45, 81, 117, 24, 60, 96, 132, 20, 56, 92, 128, 6, 42, 78, 114, 16, 52, 88, 124, 34, 70, 106, 142, 30, 66, 102, 138, 13, 49, 85, 121, 29, 65, 101, 137, 27, 63, 99, 135, 11, 47, 83, 119)(3, 39, 75, 111, 12, 48, 84, 120, 28, 64, 100, 136, 19, 55, 91, 127, 5, 41, 77, 113, 17, 53, 89, 125, 33, 69, 105, 141, 26, 62, 98, 134, 10, 46, 82, 118, 25, 61, 97, 133, 31, 67, 103, 139, 14, 50, 86, 122)
	L = (1, 38)(2, 41)(3, 44)(4, 48)(5, 37)(6, 46)(7, 50)(8, 49)(9, 58)(10, 54)(11, 59)(12, 52)(13, 39)(14, 56)(15, 60)(16, 40)(17, 65)(18, 42)(19, 66)(20, 43)(21, 63)(22, 61)(23, 62)(24, 69)(25, 45)(26, 47)(27, 64)(28, 57)(29, 71)(30, 68)(31, 72)(32, 55)(33, 51)(34, 67)(35, 53)(36, 70)(73, 111)(74, 116)(75, 114)(76, 117)(77, 121)(78, 109)(79, 119)(80, 118)(81, 125)(82, 110)(83, 127)(84, 130)(85, 126)(86, 131)(87, 136)(88, 133)(89, 112)(90, 113)(91, 115)(92, 134)(93, 139)(94, 137)(95, 138)(96, 129)(97, 143)(98, 140)(99, 144)(100, 142)(101, 120)(102, 122)(103, 132)(104, 128)(105, 135)(106, 123)(107, 124)(108, 141)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.585
Transitivity :: VT+
Graph::
	v = 3 e = 72 f = 33
	degree seq :: [ 48^3 ]

E19.589 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3, Y1), (Y2, Y1), Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 21, 57, 27, 63)(14, 50, 22, 58, 28, 64)(15, 51, 23, 59, 30, 66)(16, 52, 24, 60, 31, 67)(20, 56, 25, 61, 32, 68)(26, 62, 33, 69, 35, 71)(29, 65, 34, 70, 36, 72)(73, 109, 75, 111, 78, 114)(74, 110, 80, 116, 82, 118)(76, 112, 87, 123, 84, 120)(77, 113, 85, 121, 90, 126)(79, 115, 92, 128, 86, 122)(81, 117, 95, 131, 93, 129)(83, 119, 97, 133, 94, 130)(88, 124, 98, 134, 101, 137)(89, 125, 102, 138, 99, 135)(91, 127, 104, 140, 100, 136)(96, 132, 105, 141, 106, 142)(103, 139, 107, 143, 108, 144)
	L = (1, 76)(2, 81)(3, 84)(4, 88)(5, 89)(6, 87)(7, 73)(8, 93)(9, 96)(10, 95)(11, 74)(12, 98)(13, 99)(14, 75)(15, 101)(16, 79)(17, 103)(18, 102)(19, 77)(20, 78)(21, 105)(22, 80)(23, 106)(24, 83)(25, 82)(26, 86)(27, 107)(28, 85)(29, 92)(30, 108)(31, 91)(32, 90)(33, 94)(34, 97)(35, 100)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.611
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 6^24 ]

E19.590 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3, Y2), (Y2, Y1^-1), Y3^-4 * Y2, Y2 * Y3^-1 * Y1 * Y3 * Y1, Y1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 15, 51, 17, 53)(6, 42, 10, 46, 20, 56)(7, 43, 23, 59, 24, 60)(9, 45, 18, 54, 27, 63)(11, 47, 22, 58, 30, 66)(12, 48, 19, 55, 28, 64)(14, 50, 21, 57, 29, 65)(16, 52, 26, 62, 34, 70)(25, 61, 31, 67, 33, 69)(32, 68, 35, 71, 36, 72)(73, 109, 75, 111, 78, 114)(74, 110, 80, 116, 82, 118)(76, 112, 84, 120, 90, 126)(77, 113, 85, 121, 92, 128)(79, 115, 86, 122, 94, 130)(81, 117, 89, 125, 100, 136)(83, 119, 96, 132, 101, 137)(87, 123, 91, 127, 99, 135)(88, 124, 104, 140, 97, 133)(93, 129, 102, 138, 95, 131)(98, 134, 107, 143, 103, 139)(105, 141, 106, 142, 108, 144)
	L = (1, 76)(2, 81)(3, 84)(4, 88)(5, 91)(6, 90)(7, 73)(8, 89)(9, 98)(10, 100)(11, 74)(12, 104)(13, 99)(14, 75)(15, 105)(16, 86)(17, 107)(18, 97)(19, 106)(20, 87)(21, 77)(22, 78)(23, 92)(24, 80)(25, 79)(26, 96)(27, 108)(28, 103)(29, 82)(30, 85)(31, 83)(32, 94)(33, 93)(34, 102)(35, 101)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.612
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 6^24 ]

E19.591 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2), (Y3, Y1), Y2^4, Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 8, 44)(4, 40, 9, 45, 16, 52)(6, 42, 18, 54, 10, 46)(7, 43, 11, 47, 19, 55)(13, 49, 21, 57, 26, 62)(14, 50, 27, 63, 22, 58)(15, 51, 28, 64, 23, 59)(17, 53, 31, 67, 24, 60)(20, 56, 32, 68, 25, 61)(29, 65, 33, 69, 35, 71)(30, 66, 34, 70, 36, 72)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 93, 129, 82, 118)(76, 112, 86, 122, 101, 137, 89, 125)(77, 113, 84, 120, 98, 134, 90, 126)(79, 115, 87, 123, 102, 138, 92, 128)(81, 117, 94, 130, 105, 141, 96, 132)(83, 119, 95, 131, 106, 142, 97, 133)(88, 124, 99, 135, 107, 143, 103, 139)(91, 127, 100, 136, 108, 144, 104, 140)
	L = (1, 76)(2, 81)(3, 86)(4, 79)(5, 88)(6, 89)(7, 73)(8, 94)(9, 83)(10, 96)(11, 74)(12, 99)(13, 101)(14, 87)(15, 75)(16, 91)(17, 92)(18, 103)(19, 77)(20, 78)(21, 105)(22, 95)(23, 80)(24, 97)(25, 82)(26, 107)(27, 100)(28, 84)(29, 102)(30, 85)(31, 104)(32, 90)(33, 106)(34, 93)(35, 108)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.606
Graph:: simple bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 6^12, 8^9 ]

E19.592 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3^-1, Y2), (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y2^4, Y1 * Y2 * Y1 * Y3 * Y2^-1, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 15, 51)(4, 40, 9, 45, 17, 53)(6, 42, 22, 58, 23, 59)(7, 43, 11, 47, 21, 57)(8, 44, 16, 52, 26, 62)(10, 46, 24, 60, 28, 64)(13, 49, 25, 61, 32, 68)(14, 50, 19, 55, 27, 63)(18, 54, 20, 56, 29, 65)(30, 66, 33, 69, 35, 71)(31, 67, 34, 70, 36, 72)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 97, 133, 82, 118)(76, 112, 86, 122, 103, 139, 90, 126)(77, 113, 91, 127, 104, 140, 92, 128)(79, 115, 88, 124, 105, 141, 96, 132)(81, 117, 87, 123, 106, 142, 95, 131)(83, 119, 99, 135, 107, 143, 101, 137)(84, 120, 102, 138, 94, 130, 93, 129)(89, 125, 98, 134, 108, 144, 100, 136)
	L = (1, 76)(2, 81)(3, 86)(4, 79)(5, 89)(6, 90)(7, 73)(8, 87)(9, 83)(10, 95)(11, 74)(12, 91)(13, 103)(14, 88)(15, 99)(16, 75)(17, 93)(18, 96)(19, 98)(20, 100)(21, 77)(22, 92)(23, 101)(24, 78)(25, 106)(26, 84)(27, 80)(28, 94)(29, 82)(30, 104)(31, 105)(32, 108)(33, 85)(34, 107)(35, 97)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.607
Graph:: simple bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 6^12, 8^9 ]

E19.593 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (Y2^-1 * R)^2, (Y3^-1, Y2), Y2^4, Y3^-1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 15, 51)(4, 40, 9, 45, 17, 53)(6, 42, 22, 58, 23, 59)(7, 43, 11, 47, 21, 57)(8, 44, 14, 50, 27, 63)(10, 46, 18, 54, 29, 65)(13, 49, 25, 61, 32, 68)(16, 52, 19, 55, 26, 62)(20, 56, 28, 64, 24, 60)(30, 66, 31, 67, 35, 71)(33, 69, 34, 70, 36, 72)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 97, 133, 82, 118)(76, 112, 86, 122, 103, 139, 90, 126)(77, 113, 91, 127, 104, 140, 92, 128)(79, 115, 88, 124, 105, 141, 96, 132)(81, 117, 98, 134, 107, 143, 100, 136)(83, 119, 87, 123, 106, 142, 95, 131)(84, 120, 102, 138, 94, 130, 89, 125)(93, 129, 99, 135, 108, 144, 101, 137)
	L = (1, 76)(2, 81)(3, 86)(4, 79)(5, 89)(6, 90)(7, 73)(8, 98)(9, 83)(10, 100)(11, 74)(12, 99)(13, 103)(14, 88)(15, 80)(16, 75)(17, 93)(18, 96)(19, 84)(20, 94)(21, 77)(22, 101)(23, 82)(24, 78)(25, 107)(26, 87)(27, 91)(28, 95)(29, 92)(30, 108)(31, 105)(32, 102)(33, 85)(34, 97)(35, 106)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.601
Graph:: simple bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 6^12, 8^9 ]

E19.594 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y3)^2, Y2^4, (R * Y1)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1, (Y3, Y1), Y2^-1 * Y3^-1 * Y2 * Y1 * Y3, R * Y2 * R * Y1^-1 * Y2, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 8, 44)(4, 40, 9, 45, 17, 53)(6, 42, 19, 55, 10, 46)(7, 43, 11, 47, 20, 56)(13, 49, 25, 61, 30, 66)(14, 50, 16, 52, 26, 62)(15, 51, 28, 64, 23, 59)(18, 54, 27, 63, 21, 57)(22, 58, 29, 65, 24, 60)(31, 67, 33, 69, 36, 72)(32, 68, 35, 71, 34, 70)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 97, 133, 82, 118)(76, 112, 88, 124, 103, 139, 90, 126)(77, 113, 84, 120, 102, 138, 91, 127)(79, 115, 95, 131, 104, 140, 96, 132)(81, 117, 86, 122, 105, 141, 93, 129)(83, 119, 100, 136, 107, 143, 101, 137)(87, 123, 106, 142, 94, 130, 92, 128)(89, 125, 98, 134, 108, 144, 99, 135)
	L = (1, 76)(2, 81)(3, 86)(4, 79)(5, 89)(6, 93)(7, 73)(8, 98)(9, 83)(10, 99)(11, 74)(12, 88)(13, 103)(14, 87)(15, 75)(16, 100)(17, 92)(18, 101)(19, 90)(20, 77)(21, 94)(22, 78)(23, 80)(24, 82)(25, 105)(26, 95)(27, 96)(28, 84)(29, 91)(30, 108)(31, 104)(32, 85)(33, 107)(34, 102)(35, 97)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.609
Graph:: simple bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 6^12, 8^9 ]

E19.595 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y1^-1 * Y2 * Y1^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y3, Y1), Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-1, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y2, R * Y2 * Y1^-1 * R * Y2, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 8, 44)(4, 40, 9, 45, 17, 53)(6, 42, 19, 55, 10, 46)(7, 43, 11, 47, 20, 56)(13, 49, 25, 61, 30, 66)(14, 50, 27, 63, 16, 52)(15, 51, 23, 59, 26, 62)(18, 54, 21, 57, 28, 64)(22, 58, 24, 60, 29, 65)(31, 67, 35, 71, 33, 69)(32, 68, 34, 70, 36, 72)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 97, 133, 82, 118)(76, 112, 88, 124, 103, 139, 90, 126)(77, 113, 84, 120, 102, 138, 91, 127)(79, 115, 95, 131, 104, 140, 96, 132)(81, 117, 99, 135, 107, 143, 100, 136)(83, 119, 87, 123, 106, 142, 94, 130)(86, 122, 105, 141, 93, 129, 89, 125)(92, 128, 98, 134, 108, 144, 101, 137)
	L = (1, 76)(2, 81)(3, 86)(4, 79)(5, 89)(6, 93)(7, 73)(8, 88)(9, 83)(10, 90)(11, 74)(12, 99)(13, 103)(14, 87)(15, 75)(16, 98)(17, 92)(18, 101)(19, 100)(20, 77)(21, 94)(22, 78)(23, 84)(24, 91)(25, 107)(26, 80)(27, 95)(28, 96)(29, 82)(30, 105)(31, 104)(32, 85)(33, 108)(34, 97)(35, 106)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.604
Graph:: simple bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 6^12, 8^9 ]

E19.596 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3, Y1), (R * Y3)^2, (Y1, Y2^-1), (R * Y1)^2, Y2^4, Y2 * Y1 * Y3 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 19, 55)(7, 43, 11, 47, 20, 56)(12, 48, 25, 61, 31, 67)(13, 49, 23, 59, 28, 64)(15, 51, 26, 62, 16, 52)(18, 54, 22, 58, 27, 63)(21, 57, 24, 60, 29, 65)(30, 66, 34, 70, 36, 72)(32, 68, 35, 71, 33, 69)(73, 109, 75, 111, 84, 120, 78, 114)(74, 110, 80, 116, 97, 133, 82, 118)(76, 112, 88, 124, 102, 138, 90, 126)(77, 113, 86, 122, 103, 139, 91, 127)(79, 115, 95, 131, 104, 140, 96, 132)(81, 117, 87, 123, 106, 142, 94, 130)(83, 119, 100, 136, 107, 143, 101, 137)(85, 121, 105, 141, 93, 129, 92, 128)(89, 125, 98, 134, 108, 144, 99, 135)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 89)(6, 93)(7, 73)(8, 95)(9, 83)(10, 96)(11, 74)(12, 102)(13, 87)(14, 100)(15, 75)(16, 86)(17, 92)(18, 91)(19, 101)(20, 77)(21, 94)(22, 78)(23, 98)(24, 99)(25, 106)(26, 80)(27, 82)(28, 88)(29, 90)(30, 104)(31, 108)(32, 84)(33, 103)(34, 107)(35, 97)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.608
Graph:: simple bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 6^12, 8^9 ]

E19.597 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3, Y1), (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y2^4, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 19, 55)(7, 43, 11, 47, 20, 56)(12, 48, 25, 61, 31, 67)(13, 49, 26, 62, 23, 59)(15, 51, 16, 52, 27, 63)(18, 54, 28, 64, 22, 58)(21, 57, 29, 65, 24, 60)(30, 66, 35, 71, 34, 70)(32, 68, 33, 69, 36, 72)(73, 109, 75, 111, 84, 120, 78, 114)(74, 110, 80, 116, 97, 133, 82, 118)(76, 112, 88, 124, 102, 138, 90, 126)(77, 113, 86, 122, 103, 139, 91, 127)(79, 115, 95, 131, 104, 140, 96, 132)(81, 117, 99, 135, 107, 143, 100, 136)(83, 119, 85, 121, 105, 141, 93, 129)(87, 123, 106, 142, 94, 130, 89, 125)(92, 128, 98, 134, 108, 144, 101, 137)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 89)(6, 93)(7, 73)(8, 98)(9, 83)(10, 101)(11, 74)(12, 102)(13, 87)(14, 95)(15, 75)(16, 80)(17, 92)(18, 82)(19, 96)(20, 77)(21, 94)(22, 78)(23, 99)(24, 100)(25, 107)(26, 88)(27, 86)(28, 91)(29, 90)(30, 104)(31, 106)(32, 84)(33, 97)(34, 108)(35, 105)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.602
Graph:: simple bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 6^12, 8^9 ]

E19.598 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1, Y1^3, (R * Y3)^2, Y2^4, (R * Y1)^2, (R * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y1^-1 * Y2^-2 * Y1 * Y2^-2, (Y3^-1 * Y1^-1)^3, Y2 * R * Y2 * Y1^-1 * Y2^-1 * R * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y2)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40)(3, 39, 8, 44, 10, 46)(5, 41, 13, 49, 14, 50)(6, 42, 15, 51, 17, 53)(7, 43, 18, 54, 19, 55)(9, 45, 16, 52, 22, 58)(11, 47, 25, 61, 26, 62)(12, 48, 27, 63, 28, 64)(20, 56, 29, 65, 33, 69)(21, 57, 30, 66, 34, 70)(23, 59, 31, 67, 35, 71)(24, 60, 32, 68, 36, 72)(73, 109, 75, 111, 81, 117, 77, 113)(74, 110, 78, 114, 88, 124, 79, 115)(76, 112, 83, 119, 94, 130, 84, 120)(80, 116, 92, 128, 85, 121, 93, 129)(82, 118, 95, 131, 86, 122, 96, 132)(87, 123, 101, 137, 90, 126, 102, 138)(89, 125, 103, 139, 91, 127, 104, 140)(97, 133, 105, 141, 99, 135, 106, 142)(98, 134, 107, 143, 100, 136, 108, 144)
	L = (1, 74)(2, 76)(3, 80)(4, 73)(5, 85)(6, 87)(7, 90)(8, 82)(9, 88)(10, 75)(11, 97)(12, 99)(13, 86)(14, 77)(15, 89)(16, 94)(17, 78)(18, 91)(19, 79)(20, 101)(21, 102)(22, 81)(23, 103)(24, 104)(25, 98)(26, 83)(27, 100)(28, 84)(29, 105)(30, 106)(31, 107)(32, 108)(33, 92)(34, 93)(35, 95)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.610
Graph:: bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 6^12, 8^9 ]

E19.599 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y2 * Y3 * Y2^-1 * Y1, (R * Y1)^2, (Y3, Y1), (R * Y3)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 15, 51)(4, 40, 9, 45, 16, 52)(6, 42, 20, 56, 17, 53)(7, 43, 11, 47, 19, 55)(8, 44, 21, 57, 23, 59)(10, 46, 25, 61, 24, 60)(13, 49, 22, 58, 29, 65)(14, 50, 27, 63, 30, 66)(18, 54, 32, 68, 31, 67)(26, 62, 33, 69, 35, 71)(28, 64, 34, 70, 36, 72)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 94, 130, 82, 118)(76, 112, 87, 123, 100, 136, 89, 125)(77, 113, 86, 122, 101, 137, 90, 126)(79, 115, 84, 120, 98, 134, 92, 128)(81, 117, 95, 131, 106, 142, 96, 132)(83, 119, 93, 129, 105, 141, 97, 133)(88, 124, 102, 138, 108, 144, 103, 139)(91, 127, 99, 135, 107, 143, 104, 140)
	L = (1, 76)(2, 81)(3, 86)(4, 79)(5, 88)(6, 90)(7, 73)(8, 75)(9, 83)(10, 78)(11, 74)(12, 99)(13, 100)(14, 80)(15, 102)(16, 91)(17, 103)(18, 82)(19, 77)(20, 104)(21, 84)(22, 106)(23, 87)(24, 89)(25, 92)(26, 85)(27, 93)(28, 98)(29, 108)(30, 95)(31, 96)(32, 97)(33, 94)(34, 105)(35, 101)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.603
Graph:: simple bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 6^12, 8^9 ]

E19.600 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y1^-1, (R * Y1)^2, Y1 * Y2 * Y3^-1 * Y2^-1, Y2^4, (Y3, Y1), (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 14, 50)(4, 40, 9, 45, 16, 52)(6, 42, 17, 53, 20, 56)(7, 43, 11, 47, 19, 55)(8, 44, 21, 57, 23, 59)(10, 46, 24, 60, 25, 61)(13, 49, 22, 58, 28, 64)(15, 51, 27, 63, 30, 66)(18, 54, 31, 67, 32, 68)(26, 62, 33, 69, 35, 71)(29, 65, 34, 70, 36, 72)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 94, 130, 82, 118)(76, 112, 84, 120, 98, 134, 89, 125)(77, 113, 87, 123, 100, 136, 90, 126)(79, 115, 86, 122, 101, 137, 92, 128)(81, 117, 93, 129, 105, 141, 96, 132)(83, 119, 95, 131, 106, 142, 97, 133)(88, 124, 99, 135, 107, 143, 103, 139)(91, 127, 102, 138, 108, 144, 104, 140)
	L = (1, 76)(2, 81)(3, 80)(4, 79)(5, 88)(6, 82)(7, 73)(8, 87)(9, 83)(10, 90)(11, 74)(12, 93)(13, 98)(14, 95)(15, 75)(16, 91)(17, 96)(18, 78)(19, 77)(20, 97)(21, 99)(22, 105)(23, 102)(24, 103)(25, 104)(26, 101)(27, 84)(28, 107)(29, 85)(30, 86)(31, 89)(32, 92)(33, 106)(34, 94)(35, 108)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.605
Graph:: simple bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 6^12, 8^9 ]

E19.601 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^3, (Y3, Y2), (R * Y3)^2, (Y3^-1, Y1), (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y3 * Y1^4, (Y1^2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 20, 56, 7, 43, 12, 48, 24, 60, 16, 52, 4, 40, 10, 46, 19, 55, 5, 41)(3, 39, 11, 47, 22, 58, 31, 67, 15, 51, 28, 64, 35, 71, 29, 65, 13, 49, 27, 63, 30, 66, 14, 50)(6, 42, 9, 45, 23, 59, 34, 70, 21, 57, 26, 62, 36, 72, 32, 68, 17, 53, 25, 61, 33, 69, 18, 54)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 89, 125)(77, 113, 90, 126, 86, 122)(79, 115, 87, 123, 93, 129)(80, 116, 94, 130, 95, 131)(82, 118, 97, 133, 99, 135)(84, 120, 98, 134, 100, 136)(88, 124, 104, 140, 101, 137)(91, 127, 102, 138, 105, 141)(92, 128, 106, 142, 103, 139)(96, 132, 107, 143, 108, 144)
	L = (1, 76)(2, 82)(3, 85)(4, 79)(5, 88)(6, 89)(7, 73)(8, 91)(9, 97)(10, 84)(11, 99)(12, 74)(13, 87)(14, 101)(15, 75)(16, 92)(17, 93)(18, 104)(19, 96)(20, 77)(21, 78)(22, 102)(23, 105)(24, 80)(25, 98)(26, 81)(27, 100)(28, 83)(29, 103)(30, 107)(31, 86)(32, 106)(33, 108)(34, 90)(35, 94)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.593
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 6^12, 24^3 ]

E19.602 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^3, Y3^3, Y2 * Y1^-1 * Y2 * Y1, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y1^-1 * Y3 * Y2 * Y1 * Y3^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y1, Y1 * Y2 * Y3 * Y1^-1 * Y3^-1, Y1 * Y3 * Y1^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y1^-3 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^2 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 26, 62, 15, 51, 31, 67, 36, 72, 35, 71, 18, 54, 33, 69, 21, 57, 5, 41)(3, 39, 11, 47, 27, 63, 22, 58, 23, 59, 12, 48, 34, 70, 17, 53, 4, 40, 16, 52, 28, 64, 14, 50)(6, 42, 9, 45, 29, 65, 25, 61, 7, 43, 24, 60, 30, 66, 20, 56, 13, 49, 10, 46, 32, 68, 19, 55)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 90, 126)(77, 113, 91, 127, 86, 122)(79, 115, 87, 123, 95, 131)(80, 116, 99, 135, 101, 137)(82, 118, 88, 124, 105, 141)(84, 120, 103, 139, 96, 132)(89, 125, 107, 143, 92, 128)(93, 129, 100, 136, 104, 140)(94, 130, 98, 134, 97, 133)(102, 138, 108, 144, 106, 142)
	L = (1, 76)(2, 82)(3, 85)(4, 79)(5, 92)(6, 90)(7, 73)(8, 100)(9, 88)(10, 84)(11, 105)(12, 74)(13, 87)(14, 107)(15, 75)(16, 103)(17, 98)(18, 95)(19, 89)(20, 94)(21, 106)(22, 77)(23, 78)(24, 83)(25, 86)(26, 91)(27, 104)(28, 102)(29, 93)(30, 80)(31, 81)(32, 108)(33, 96)(34, 101)(35, 97)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.597
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 6^12, 24^3 ]

E19.603 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, (R * Y2)^2, Y2 * Y1^-1 * Y2 * Y1, (Y3, Y2), (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y1^-1 * Y3, Y3^-1 * Y2^-1 * Y1^-4, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 26, 62, 23, 59, 33, 69, 36, 72, 35, 71, 13, 49, 31, 67, 21, 57, 5, 41)(3, 39, 11, 47, 27, 63, 25, 61, 7, 43, 24, 60, 30, 66, 20, 56, 18, 54, 10, 46, 32, 68, 14, 50)(4, 40, 16, 52, 28, 64, 19, 55, 6, 42, 9, 45, 29, 65, 22, 58, 15, 51, 12, 48, 34, 70, 17, 53)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 90, 126)(77, 113, 91, 127, 86, 122)(79, 115, 87, 123, 95, 131)(80, 116, 99, 135, 101, 137)(82, 118, 103, 139, 88, 124)(84, 120, 96, 132, 105, 141)(89, 125, 92, 128, 107, 143)(93, 129, 104, 140, 100, 136)(94, 130, 97, 133, 98, 134)(102, 138, 106, 142, 108, 144)
	L = (1, 76)(2, 82)(3, 85)(4, 79)(5, 92)(6, 90)(7, 73)(8, 100)(9, 103)(10, 84)(11, 88)(12, 74)(13, 87)(14, 89)(15, 75)(16, 105)(17, 98)(18, 95)(19, 107)(20, 94)(21, 106)(22, 77)(23, 78)(24, 81)(25, 91)(26, 86)(27, 93)(28, 102)(29, 104)(30, 80)(31, 96)(32, 108)(33, 83)(34, 99)(35, 97)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.599
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 6^12, 24^3 ]

E19.604 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, (Y2, Y3^-1), (Y1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y2 * Y1^4, (Y2 * Y1^-2)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 21, 57, 6, 42, 11, 47, 27, 63, 14, 50, 3, 39, 9, 45, 20, 56, 5, 41)(4, 40, 16, 52, 26, 62, 33, 69, 18, 54, 29, 65, 36, 72, 22, 58, 13, 49, 12, 48, 32, 68, 17, 53)(7, 43, 24, 60, 28, 64, 19, 55, 23, 59, 10, 46, 30, 66, 34, 70, 15, 51, 31, 67, 35, 71, 25, 61)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 90, 126)(77, 113, 86, 122, 93, 129)(79, 115, 87, 123, 95, 131)(80, 116, 92, 128, 99, 135)(82, 118, 96, 132, 103, 139)(84, 120, 101, 137, 88, 124)(89, 125, 94, 130, 105, 141)(91, 127, 97, 133, 106, 142)(98, 134, 104, 140, 108, 144)(100, 136, 107, 143, 102, 138)
	L = (1, 76)(2, 82)(3, 85)(4, 79)(5, 91)(6, 90)(7, 73)(8, 98)(9, 96)(10, 84)(11, 103)(12, 74)(13, 87)(14, 97)(15, 75)(16, 83)(17, 93)(18, 95)(19, 94)(20, 104)(21, 106)(22, 77)(23, 78)(24, 101)(25, 105)(26, 100)(27, 108)(28, 80)(29, 81)(30, 99)(31, 88)(32, 107)(33, 86)(34, 89)(35, 92)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.595
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 6^12, 24^3 ]

E19.605 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3, Y2^-1), (R * Y2)^2, Y2^-1 * Y1^4, Y3 * Y1^-1 * Y3 * Y2^-1 * Y1, (Y2^-1 * Y3)^3, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 14, 50, 3, 39, 9, 45, 26, 62, 21, 57, 6, 42, 11, 47, 20, 56, 5, 41)(4, 40, 16, 52, 27, 63, 33, 69, 13, 49, 31, 67, 36, 72, 22, 58, 18, 54, 12, 48, 32, 68, 17, 53)(7, 43, 24, 60, 28, 64, 19, 55, 15, 51, 10, 46, 30, 66, 34, 70, 23, 59, 29, 65, 35, 71, 25, 61)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 90, 126)(77, 113, 86, 122, 93, 129)(79, 115, 87, 123, 95, 131)(80, 116, 98, 134, 92, 128)(82, 118, 101, 137, 96, 132)(84, 120, 88, 124, 103, 139)(89, 125, 105, 141, 94, 130)(91, 127, 106, 142, 97, 133)(99, 135, 108, 144, 104, 140)(100, 136, 102, 138, 107, 143)
	L = (1, 76)(2, 82)(3, 85)(4, 79)(5, 91)(6, 90)(7, 73)(8, 99)(9, 101)(10, 84)(11, 96)(12, 74)(13, 87)(14, 106)(15, 75)(16, 81)(17, 86)(18, 95)(19, 94)(20, 104)(21, 97)(22, 77)(23, 78)(24, 103)(25, 105)(26, 108)(27, 100)(28, 80)(29, 88)(30, 98)(31, 83)(32, 107)(33, 93)(34, 89)(35, 92)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.600
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 6^12, 24^3 ]

E19.606 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^3, (Y3, Y2), (Y1, Y3^-1), (Y2^-1 * R)^2, (R * Y1)^2, (R * Y3)^2, Y1^4 * Y3, Y1^-1 * Y2 * Y3 * Y1 * Y2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y1 * Y2 * Y1^2 * Y2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 7, 43, 12, 48, 28, 64, 17, 53, 4, 40, 10, 46, 20, 56, 5, 41)(3, 39, 13, 49, 26, 62, 34, 70, 16, 52, 31, 67, 36, 72, 21, 57, 14, 50, 11, 47, 32, 68, 15, 51)(6, 42, 23, 59, 27, 63, 19, 55, 25, 61, 9, 45, 29, 65, 33, 69, 18, 54, 30, 66, 35, 71, 24, 60)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 86, 122, 90, 126)(77, 113, 91, 127, 93, 129)(79, 115, 88, 124, 97, 133)(80, 116, 98, 134, 99, 135)(82, 118, 95, 131, 103, 139)(84, 120, 102, 138, 85, 121)(87, 123, 94, 130, 105, 141)(89, 125, 96, 132, 106, 142)(92, 128, 104, 140, 107, 143)(100, 136, 108, 144, 101, 137)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 89)(6, 90)(7, 73)(8, 92)(9, 95)(10, 84)(11, 103)(12, 74)(13, 83)(14, 88)(15, 93)(16, 75)(17, 94)(18, 97)(19, 96)(20, 100)(21, 106)(22, 77)(23, 102)(24, 105)(25, 78)(26, 104)(27, 107)(28, 80)(29, 99)(30, 81)(31, 85)(32, 108)(33, 91)(34, 87)(35, 101)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.591
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 6^12, 24^3 ]

E19.607 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^3, (Y3, Y2), (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3^-1 * Y2 * Y1 * Y2, Y3 * Y1^4, Y1^2 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 7, 43, 12, 48, 28, 64, 17, 53, 4, 40, 10, 46, 20, 56, 5, 41)(3, 39, 13, 49, 26, 62, 21, 57, 16, 52, 11, 47, 31, 67, 33, 69, 14, 50, 32, 68, 34, 70, 15, 51)(6, 42, 23, 59, 27, 63, 35, 71, 25, 61, 30, 66, 36, 72, 19, 55, 18, 54, 9, 45, 29, 65, 24, 60)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 86, 122, 90, 126)(77, 113, 91, 127, 93, 129)(79, 115, 88, 124, 97, 133)(80, 116, 98, 134, 99, 135)(82, 118, 102, 138, 85, 121)(84, 120, 95, 131, 104, 140)(87, 123, 89, 125, 107, 143)(92, 128, 106, 142, 101, 137)(94, 130, 96, 132, 105, 141)(100, 136, 103, 139, 108, 144)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 89)(6, 90)(7, 73)(8, 92)(9, 102)(10, 84)(11, 85)(12, 74)(13, 104)(14, 88)(15, 105)(16, 75)(17, 94)(18, 97)(19, 107)(20, 100)(21, 87)(22, 77)(23, 81)(24, 91)(25, 78)(26, 106)(27, 101)(28, 80)(29, 108)(30, 95)(31, 98)(32, 83)(33, 93)(34, 103)(35, 96)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.592
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 6^12, 24^3 ]

E19.608 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, (Y3, Y2), Y1 * Y2^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y3 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2, Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 17, 53, 29, 65, 36, 72, 32, 68, 15, 51, 28, 64, 20, 56, 5, 41)(3, 39, 12, 48, 23, 59, 16, 52, 4, 40, 11, 47, 24, 60, 34, 70, 21, 57, 27, 63, 33, 69, 14, 50)(6, 42, 10, 46, 25, 61, 31, 67, 13, 49, 30, 66, 35, 71, 18, 54, 7, 43, 9, 45, 26, 62, 19, 55)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 89, 125)(77, 113, 90, 126, 88, 124)(79, 115, 87, 123, 93, 129)(80, 116, 95, 131, 97, 133)(82, 118, 99, 135, 101, 137)(84, 120, 100, 136, 102, 138)(86, 122, 104, 140, 103, 139)(91, 127, 106, 142, 94, 130)(92, 128, 105, 141, 98, 134)(96, 132, 107, 143, 108, 144)
	L = (1, 76)(2, 82)(3, 85)(4, 79)(5, 91)(6, 89)(7, 73)(8, 96)(9, 99)(10, 84)(11, 101)(12, 74)(13, 87)(14, 77)(15, 75)(16, 94)(17, 93)(18, 106)(19, 86)(20, 95)(21, 78)(22, 103)(23, 107)(24, 98)(25, 108)(26, 80)(27, 100)(28, 81)(29, 102)(30, 83)(31, 88)(32, 90)(33, 97)(34, 104)(35, 92)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.596
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 6^12, 24^3 ]

E19.609 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, (Y3, Y2), Y3 * Y1^-1 * Y2^-1 * Y1, Y2 * Y1^-1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1^-4 * Y2, (Y1^-1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 13, 49, 27, 63, 36, 72, 35, 71, 21, 57, 30, 66, 18, 54, 5, 41)(3, 39, 10, 46, 23, 59, 32, 68, 17, 53, 28, 64, 34, 70, 19, 55, 7, 43, 11, 47, 26, 62, 14, 50)(4, 40, 9, 45, 24, 60, 31, 67, 15, 51, 29, 65, 33, 69, 20, 56, 6, 42, 12, 48, 25, 61, 16, 52)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 89, 125)(77, 113, 88, 124, 91, 127)(79, 115, 87, 123, 93, 129)(80, 116, 95, 131, 97, 133)(82, 118, 99, 135, 101, 137)(84, 120, 100, 136, 102, 138)(86, 122, 94, 130, 103, 139)(90, 126, 98, 134, 105, 141)(92, 128, 104, 140, 107, 143)(96, 132, 108, 144, 106, 142)
	L = (1, 76)(2, 82)(3, 85)(4, 79)(5, 86)(6, 89)(7, 73)(8, 96)(9, 99)(10, 84)(11, 101)(12, 74)(13, 87)(14, 92)(15, 75)(16, 94)(17, 93)(18, 97)(19, 103)(20, 77)(21, 78)(22, 104)(23, 108)(24, 98)(25, 106)(26, 80)(27, 100)(28, 81)(29, 102)(30, 83)(31, 107)(32, 88)(33, 95)(34, 90)(35, 91)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.594
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 6^12, 24^3 ]

E19.610 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y3 * Y2^-2, Y3 * Y2^-2, Y2^3, (R * Y1)^2, R * Y2 * R * Y3^-1, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y3 * Y1^-3 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^3, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-2, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y2^-1 * Y1 * Y3 * Y1^7 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 16, 52, 32, 68, 29, 65, 35, 71, 25, 61, 33, 69, 23, 59, 15, 51, 5, 41)(3, 39, 9, 45, 17, 53, 14, 50, 22, 58, 8, 44, 21, 57, 30, 66, 34, 70, 28, 64, 27, 63, 10, 46)(4, 40, 11, 47, 18, 54, 26, 62, 36, 72, 24, 60, 31, 67, 13, 49, 20, 56, 7, 43, 19, 55, 12, 48)(73, 109, 75, 111, 76, 112)(74, 110, 79, 115, 80, 116)(77, 113, 85, 121, 86, 122)(78, 114, 89, 125, 90, 126)(81, 117, 95, 131, 96, 132)(82, 118, 97, 133, 98, 134)(83, 119, 100, 136, 101, 137)(84, 120, 102, 138, 88, 124)(87, 123, 99, 135, 91, 127)(92, 128, 105, 141, 106, 142)(93, 129, 103, 139, 107, 143)(94, 130, 108, 144, 104, 140)
	L = (1, 76)(2, 80)(3, 73)(4, 75)(5, 86)(6, 90)(7, 74)(8, 79)(9, 96)(10, 98)(11, 101)(12, 88)(13, 77)(14, 85)(15, 91)(16, 102)(17, 78)(18, 89)(19, 99)(20, 106)(21, 107)(22, 104)(23, 81)(24, 95)(25, 82)(26, 97)(27, 87)(28, 83)(29, 100)(30, 84)(31, 93)(32, 108)(33, 92)(34, 105)(35, 103)(36, 94)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.598
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 6^12, 24^3 ]

E19.611 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-3, Y3^2 * Y1^2, Y3^4, (R * Y1)^2, Y3^2 * Y1^-2, (Y2^-1 * R)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-2, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^3, Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y3 * Y1, Y2^2 * Y1 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 13, 49, 25, 61, 16, 52)(4, 40, 18, 54, 7, 43, 19, 55)(6, 42, 23, 59, 26, 62, 24, 60)(9, 45, 27, 63, 21, 57, 30, 66)(10, 46, 32, 68, 12, 48, 33, 69)(11, 47, 35, 71, 22, 58, 36, 72)(14, 50, 28, 64, 20, 56, 34, 70)(15, 51, 29, 65, 17, 53, 31, 67)(73, 109, 75, 111, 86, 122, 79, 115, 89, 125, 98, 134, 80, 116, 97, 133, 92, 128, 76, 112, 87, 123, 78, 114)(74, 110, 81, 117, 100, 136, 84, 120, 103, 139, 94, 130, 77, 113, 93, 129, 106, 142, 82, 118, 101, 137, 83, 119)(85, 121, 107, 143, 91, 127, 99, 135, 96, 132, 105, 141, 88, 124, 108, 144, 90, 126, 102, 138, 95, 131, 104, 140)
	L = (1, 76)(2, 82)(3, 87)(4, 80)(5, 84)(6, 92)(7, 73)(8, 79)(9, 101)(10, 77)(11, 106)(12, 74)(13, 102)(14, 78)(15, 97)(16, 99)(17, 75)(18, 105)(19, 104)(20, 98)(21, 103)(22, 100)(23, 108)(24, 107)(25, 89)(26, 86)(27, 85)(28, 83)(29, 93)(30, 88)(31, 81)(32, 90)(33, 91)(34, 94)(35, 95)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6^8 ), ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E19.589
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 8^9, 24^3 ]

E19.612 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-2 * Y3^-1, Y1^4, Y1^-1 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y1^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1^-2, (R * Y2)^2, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y2^-1 * Y1^-1)^3, (Y3 * Y2^-1)^3, Y2^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 13, 49, 7, 43, 15, 51)(4, 40, 17, 53, 6, 42, 19, 55)(9, 45, 21, 57, 12, 48, 23, 59)(10, 46, 25, 61, 11, 47, 27, 63)(14, 50, 22, 58, 16, 52, 24, 60)(18, 54, 26, 62, 20, 56, 28, 64)(29, 65, 36, 72, 30, 66, 35, 71)(31, 67, 34, 70, 32, 68, 33, 69)(73, 109, 75, 111, 86, 122, 103, 139, 92, 128, 76, 112, 80, 116, 79, 115, 88, 124, 104, 140, 90, 126, 78, 114)(74, 110, 81, 117, 94, 130, 107, 143, 100, 136, 82, 118, 77, 113, 84, 120, 96, 132, 108, 144, 98, 134, 83, 119)(85, 121, 99, 135, 106, 142, 93, 129, 89, 125, 101, 137, 87, 123, 97, 133, 105, 141, 95, 131, 91, 127, 102, 138)
	L = (1, 76)(2, 82)(3, 80)(4, 90)(5, 83)(6, 92)(7, 73)(8, 78)(9, 77)(10, 98)(11, 100)(12, 74)(13, 101)(14, 79)(15, 102)(16, 75)(17, 95)(18, 103)(19, 93)(20, 104)(21, 105)(22, 84)(23, 106)(24, 81)(25, 85)(26, 107)(27, 87)(28, 108)(29, 91)(30, 89)(31, 88)(32, 86)(33, 99)(34, 97)(35, 96)(36, 94)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6^8 ), ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E19.590
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 8^9, 24^3 ]

E19.613 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y3)^2, (Y3^-1, Y2), (R * Y1)^2, (R * Y2)^2, (Y3, Y1), Y2^4, (Y2^-1, Y1^-1) ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 16, 52)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 21, 57, 27, 63)(13, 49, 22, 58, 29, 65)(15, 51, 23, 59, 30, 66)(17, 53, 24, 60, 31, 67)(20, 56, 25, 61, 32, 68)(26, 62, 33, 69, 35, 71)(28, 64, 34, 70, 36, 72)(73, 109, 75, 111, 84, 120, 78, 114)(74, 110, 80, 116, 93, 129, 82, 118)(76, 112, 85, 121, 98, 134, 89, 125)(77, 113, 86, 122, 99, 135, 90, 126)(79, 115, 87, 123, 100, 136, 92, 128)(81, 117, 94, 130, 105, 141, 96, 132)(83, 119, 95, 131, 106, 142, 97, 133)(88, 124, 101, 137, 107, 143, 103, 139)(91, 127, 102, 138, 108, 144, 104, 140)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 88)(6, 89)(7, 73)(8, 94)(9, 83)(10, 96)(11, 74)(12, 98)(13, 87)(14, 101)(15, 75)(16, 91)(17, 92)(18, 103)(19, 77)(20, 78)(21, 105)(22, 95)(23, 80)(24, 97)(25, 82)(26, 100)(27, 107)(28, 84)(29, 102)(30, 86)(31, 104)(32, 90)(33, 106)(34, 93)(35, 108)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.614
Graph:: simple bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 6^12, 8^9 ]

E19.614 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^3, (Y3, Y2), (Y3^-1, Y1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y1), Y3 * Y1^4, (Y1^2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 20, 56, 7, 43, 12, 48, 24, 60, 16, 52, 4, 40, 10, 46, 18, 54, 5, 41)(3, 39, 9, 45, 22, 58, 31, 67, 15, 51, 26, 62, 35, 71, 29, 65, 13, 49, 25, 61, 30, 66, 14, 50)(6, 42, 11, 47, 23, 59, 34, 70, 21, 57, 28, 64, 36, 72, 32, 68, 17, 53, 27, 63, 33, 69, 19, 55)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 89, 125)(77, 113, 86, 122, 91, 127)(79, 115, 87, 123, 93, 129)(80, 116, 94, 130, 95, 131)(82, 118, 97, 133, 99, 135)(84, 120, 98, 134, 100, 136)(88, 124, 101, 137, 104, 140)(90, 126, 102, 138, 105, 141)(92, 128, 103, 139, 106, 142)(96, 132, 107, 143, 108, 144)
	L = (1, 76)(2, 82)(3, 85)(4, 79)(5, 88)(6, 89)(7, 73)(8, 90)(9, 97)(10, 84)(11, 99)(12, 74)(13, 87)(14, 101)(15, 75)(16, 92)(17, 93)(18, 96)(19, 104)(20, 77)(21, 78)(22, 102)(23, 105)(24, 80)(25, 98)(26, 81)(27, 100)(28, 83)(29, 103)(30, 107)(31, 86)(32, 106)(33, 108)(34, 91)(35, 94)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.613
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 6^12, 24^3 ]

E19.615 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y1 * Y2^-1, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1, Y2 * Y3^2 * Y2^-1 * Y3^-2, Y3^6 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 5, 41)(4, 40, 7, 43)(6, 42, 8, 44)(9, 45, 14, 50)(10, 46, 15, 51)(11, 47, 13, 49)(12, 48, 19, 55)(16, 52, 17, 53)(18, 54, 20, 56)(21, 57, 23, 59)(22, 58, 29, 65)(24, 60, 25, 61)(26, 62, 31, 67)(27, 63, 30, 66)(28, 64, 32, 68)(33, 69, 35, 71)(34, 70, 36, 72)(73, 109, 75, 111, 74, 110, 77, 113)(76, 112, 83, 119, 79, 115, 85, 121)(78, 114, 88, 124, 80, 116, 89, 125)(81, 117, 93, 129, 86, 122, 95, 131)(82, 118, 96, 132, 87, 123, 97, 133)(84, 120, 94, 130, 91, 127, 101, 137)(90, 126, 98, 134, 92, 128, 103, 139)(99, 135, 106, 142, 102, 138, 108, 144)(100, 136, 105, 141, 104, 140, 107, 143)
	L = (1, 76)(2, 79)(3, 81)(4, 84)(5, 86)(6, 73)(7, 91)(8, 74)(9, 94)(10, 75)(11, 96)(12, 100)(13, 97)(14, 101)(15, 77)(16, 99)(17, 102)(18, 78)(19, 104)(20, 80)(21, 89)(22, 106)(23, 88)(24, 105)(25, 107)(26, 82)(27, 83)(28, 92)(29, 108)(30, 85)(31, 87)(32, 90)(33, 93)(34, 103)(35, 95)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.618
Graph:: bipartite
	v = 27 e = 72 f = 9
	degree seq :: [ 4^18, 8^9 ]

E19.616 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^3 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, (R * Y2 * Y1^-1)^2, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3, Y2^-1 * R * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * R, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 4, 40)(3, 39, 9, 45, 16, 52, 11, 47)(5, 41, 14, 50, 10, 46, 15, 51)(7, 43, 17, 53, 12, 48, 18, 54)(8, 44, 19, 55, 13, 49, 20, 56)(21, 57, 29, 65, 23, 59, 31, 67)(22, 58, 33, 69, 24, 60, 35, 71)(25, 61, 30, 66, 27, 63, 32, 68)(26, 62, 34, 70, 28, 64, 36, 72)(73, 109, 75, 111, 82, 118, 78, 114, 88, 124, 77, 113)(74, 110, 79, 115, 85, 121, 76, 112, 84, 120, 80, 116)(81, 117, 93, 129, 96, 132, 83, 119, 95, 131, 94, 130)(86, 122, 97, 133, 100, 136, 87, 123, 99, 135, 98, 134)(89, 125, 101, 137, 104, 140, 90, 126, 103, 139, 102, 138)(91, 127, 105, 141, 108, 144, 92, 128, 107, 143, 106, 142)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 89)(8, 91)(9, 88)(10, 87)(11, 75)(12, 90)(13, 92)(14, 82)(15, 77)(16, 83)(17, 84)(18, 79)(19, 85)(20, 80)(21, 101)(22, 105)(23, 103)(24, 107)(25, 102)(26, 106)(27, 104)(28, 108)(29, 95)(30, 99)(31, 93)(32, 97)(33, 96)(34, 100)(35, 94)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 E19.617
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 8^9, 12^6 ]

E19.617 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y2 * Y3^-2, Y1 * Y2 * Y1^-1 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^2, (Y3 * Y1^-1)^3, Y1^6 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 19, 55, 27, 63, 11, 47, 3, 39, 8, 44, 20, 56, 31, 67, 15, 51, 5, 41)(4, 40, 12, 48, 21, 57, 35, 71, 32, 68, 18, 54, 6, 42, 17, 53, 22, 58, 36, 72, 30, 66, 13, 49)(9, 45, 23, 59, 33, 69, 29, 65, 16, 52, 26, 62, 10, 46, 25, 61, 34, 70, 28, 64, 14, 50, 24, 60)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 78, 114)(77, 113, 83, 119)(79, 115, 92, 128)(81, 117, 82, 118)(84, 120, 89, 125)(85, 121, 90, 126)(86, 122, 88, 124)(87, 123, 99, 135)(91, 127, 103, 139)(93, 129, 94, 130)(95, 131, 97, 133)(96, 132, 98, 134)(100, 136, 101, 137)(102, 138, 104, 140)(105, 141, 106, 142)(107, 143, 108, 144)
	L = (1, 76)(2, 81)(3, 78)(4, 75)(5, 86)(6, 73)(7, 93)(8, 82)(9, 80)(10, 74)(11, 88)(12, 100)(13, 97)(14, 83)(15, 102)(16, 77)(17, 101)(18, 95)(19, 105)(20, 94)(21, 92)(22, 79)(23, 85)(24, 108)(25, 90)(26, 107)(27, 104)(28, 89)(29, 84)(30, 99)(31, 106)(32, 87)(33, 103)(34, 91)(35, 96)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.616
Graph:: bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 4^18, 24^3 ]

E19.618 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, (R * Y3)^2, Y3^2 * Y2^-2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y2)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1, Y1^2 * Y3 * Y2^-1 * Y1, Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2 * Y3^2 * Y2, Y3^2 * Y1 * Y2^-2 * Y1^-1, Y1 * Y3^-2 * Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y3 * Y1^-1 * Y2^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 17, 53, 22, 58, 5, 41)(3, 39, 13, 49, 19, 55, 4, 40, 18, 54, 16, 52)(6, 42, 23, 59, 9, 45, 7, 43, 26, 62, 10, 46)(11, 47, 29, 65, 21, 57, 12, 48, 32, 68, 20, 56)(14, 50, 27, 63, 36, 72, 15, 51, 28, 64, 35, 71)(24, 60, 30, 66, 33, 69, 25, 61, 31, 67, 34, 70)(73, 109, 75, 111, 86, 122, 101, 137, 97, 133, 79, 115, 89, 125, 76, 112, 87, 123, 104, 140, 96, 132, 78, 114)(74, 110, 81, 117, 99, 135, 91, 127, 103, 139, 84, 120, 94, 130, 82, 118, 100, 136, 88, 124, 102, 138, 83, 119)(77, 113, 92, 128, 107, 143, 95, 131, 105, 141, 85, 121, 80, 116, 93, 129, 108, 144, 98, 134, 106, 142, 90, 126)
	L = (1, 76)(2, 82)(3, 87)(4, 86)(5, 93)(6, 89)(7, 73)(8, 92)(9, 100)(10, 99)(11, 94)(12, 74)(13, 77)(14, 104)(15, 101)(16, 103)(17, 75)(18, 80)(19, 102)(20, 108)(21, 107)(22, 81)(23, 106)(24, 79)(25, 78)(26, 105)(27, 88)(28, 91)(29, 96)(30, 84)(31, 83)(32, 97)(33, 90)(34, 85)(35, 98)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 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 E19.615
Graph:: bipartite
	v = 9 e = 72 f = 27
	degree seq :: [ 12^6, 24^3 ]

E19.619 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3 * Y1, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-2 * Y3^-1 * Y2 * Y3^-1, Y3^-3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 8, 44)(5, 41, 9, 45)(6, 42, 10, 46)(11, 47, 21, 57)(12, 48, 15, 51)(13, 49, 22, 58)(14, 50, 23, 59)(16, 52, 18, 54)(17, 53, 24, 60)(19, 55, 25, 61)(20, 56, 26, 62)(27, 63, 32, 68)(28, 64, 35, 71)(29, 65, 34, 70)(30, 66, 36, 72)(31, 67, 33, 69)(73, 109, 75, 111, 81, 117, 74, 110, 79, 115, 77, 113)(76, 112, 85, 121, 84, 120, 80, 116, 94, 130, 87, 123)(78, 114, 90, 126, 97, 133, 82, 118, 88, 124, 91, 127)(83, 119, 99, 135, 96, 132, 93, 129, 104, 140, 89, 125)(86, 122, 100, 136, 103, 139, 95, 131, 107, 143, 105, 141)(92, 128, 101, 137, 108, 144, 98, 134, 106, 142, 102, 138)
	L = (1, 76)(2, 80)(3, 83)(4, 86)(5, 88)(6, 73)(7, 93)(8, 95)(9, 90)(10, 74)(11, 100)(12, 75)(13, 102)(14, 104)(15, 79)(16, 105)(17, 77)(18, 103)(19, 106)(20, 78)(21, 107)(22, 108)(23, 99)(24, 81)(25, 101)(26, 82)(27, 92)(28, 91)(29, 84)(30, 89)(31, 85)(32, 98)(33, 94)(34, 87)(35, 97)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.620
Graph:: bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.620 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y3)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-2 * Y2 * Y1^-2, (Y2 * Y1)^3, (Y2^-2 * R)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^2 * Y1 * Y2^2 * Y1 * Y2^2, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 4, 40)(3, 39, 9, 45, 17, 53, 11, 47)(5, 41, 14, 50, 18, 54, 15, 51)(7, 43, 19, 55, 12, 48, 21, 57)(8, 44, 22, 58, 13, 49, 23, 59)(10, 46, 20, 56, 31, 67, 27, 63)(16, 52, 24, 60, 32, 68, 29, 65)(25, 61, 34, 70, 28, 64, 36, 72)(26, 62, 33, 69, 30, 66, 35, 71)(73, 109, 75, 111, 82, 118, 98, 134, 104, 140, 90, 126, 78, 114, 89, 125, 103, 139, 102, 138, 88, 124, 77, 113)(74, 110, 79, 115, 92, 128, 106, 142, 101, 137, 85, 121, 76, 112, 84, 120, 99, 135, 108, 144, 96, 132, 80, 116)(81, 117, 94, 130, 105, 141, 91, 127, 87, 123, 100, 136, 83, 119, 95, 131, 107, 143, 93, 129, 86, 122, 97, 133)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 91)(8, 94)(9, 89)(10, 92)(11, 75)(12, 93)(13, 95)(14, 90)(15, 77)(16, 96)(17, 83)(18, 87)(19, 84)(20, 103)(21, 79)(22, 85)(23, 80)(24, 104)(25, 106)(26, 105)(27, 82)(28, 108)(29, 88)(30, 107)(31, 99)(32, 101)(33, 102)(34, 100)(35, 98)(36, 97)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ), ( 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 E19.619
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 8^9, 24^3 ]

E19.621 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-2 * R)^2, Y2^-2 * Y1 * Y2 * Y3 * Y2 * Y3^-1, Y2^2 * Y3^-1 * Y2^4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 11, 47, 8, 44)(4, 40, 9, 45, 7, 43)(6, 42, 16, 52, 10, 46)(12, 48, 19, 55, 23, 59)(13, 49, 20, 56, 14, 50)(15, 51, 17, 53, 21, 57)(18, 54, 22, 58, 28, 64)(24, 60, 35, 71, 31, 67)(25, 61, 32, 68, 26, 62)(27, 63, 33, 69, 29, 65)(30, 66, 36, 72, 34, 70)(73, 109, 75, 111, 84, 120, 96, 132, 105, 141, 93, 129, 81, 117, 92, 128, 104, 140, 102, 138, 90, 126, 78, 114)(74, 110, 80, 116, 91, 127, 103, 139, 101, 137, 89, 125, 79, 115, 85, 121, 98, 134, 106, 142, 94, 130, 82, 118)(76, 112, 86, 122, 97, 133, 108, 144, 100, 136, 88, 124, 77, 113, 83, 119, 95, 131, 107, 143, 99, 135, 87, 123)
	L = (1, 76)(2, 81)(3, 85)(4, 74)(5, 79)(6, 89)(7, 73)(8, 86)(9, 77)(10, 87)(11, 92)(12, 97)(13, 83)(14, 75)(15, 78)(16, 93)(17, 88)(18, 99)(19, 104)(20, 80)(21, 82)(22, 105)(23, 98)(24, 106)(25, 91)(26, 84)(27, 94)(28, 101)(29, 90)(30, 103)(31, 108)(32, 95)(33, 100)(34, 107)(35, 102)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24 ), ( 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 E19.623
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 6^12, 24^3 ]

E19.622 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, Y1^3, Y1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^-2 * R)^2, Y3 * Y2^-3 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 11, 47, 13, 49)(4, 40, 9, 45, 7, 43)(6, 42, 15, 51, 20, 56)(8, 44, 23, 59, 16, 52)(10, 46, 26, 62, 14, 50)(12, 48, 24, 60, 31, 67)(17, 53, 19, 55, 27, 63)(18, 54, 22, 58, 25, 61)(21, 57, 28, 64, 29, 65)(30, 66, 35, 71, 32, 68)(33, 69, 34, 70, 36, 72)(73, 109, 75, 111, 84, 120, 97, 133, 108, 144, 99, 135, 81, 117, 98, 134, 107, 143, 95, 131, 93, 129, 78, 114)(74, 110, 80, 116, 96, 132, 92, 128, 105, 141, 85, 121, 79, 115, 94, 130, 104, 140, 91, 127, 100, 136, 82, 118)(76, 112, 87, 123, 102, 138, 83, 119, 101, 137, 90, 126, 77, 113, 89, 125, 103, 139, 86, 122, 106, 142, 88, 124)
	L = (1, 76)(2, 81)(3, 82)(4, 74)(5, 79)(6, 91)(7, 73)(8, 90)(9, 77)(10, 83)(11, 98)(12, 102)(13, 86)(14, 75)(15, 99)(16, 97)(17, 78)(18, 95)(19, 87)(20, 89)(21, 106)(22, 88)(23, 94)(24, 107)(25, 80)(26, 85)(27, 92)(28, 108)(29, 105)(30, 96)(31, 104)(32, 84)(33, 93)(34, 100)(35, 103)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24 ), ( 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 E19.624
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 6^12, 24^3 ]

E19.623 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-3 * Y2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1^6, Y1^2 * Y3^-1 * Y1 * Y3 * Y1^3 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 17, 53, 25, 61, 12, 48, 3, 39, 8, 44, 18, 54, 28, 64, 16, 52, 5, 41)(4, 40, 10, 46, 19, 55, 30, 66, 33, 69, 23, 59, 11, 47, 22, 58, 31, 67, 35, 71, 26, 62, 14, 50)(6, 42, 9, 45, 20, 56, 29, 65, 34, 70, 24, 60, 13, 49, 21, 57, 32, 68, 36, 72, 27, 63, 15, 51)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 84, 120)(78, 114, 85, 121)(79, 115, 90, 126)(81, 117, 93, 129)(82, 118, 94, 130)(86, 122, 95, 131)(87, 123, 96, 132)(88, 124, 97, 133)(89, 125, 100, 136)(91, 127, 103, 139)(92, 128, 104, 140)(98, 134, 105, 141)(99, 135, 106, 142)(101, 137, 108, 144)(102, 138, 107, 143)
	L = (1, 76)(2, 81)(3, 83)(4, 85)(5, 87)(6, 73)(7, 91)(8, 93)(9, 94)(10, 74)(11, 78)(12, 96)(13, 75)(14, 77)(15, 95)(16, 98)(17, 101)(18, 103)(19, 104)(20, 79)(21, 82)(22, 80)(23, 84)(24, 86)(25, 105)(26, 106)(27, 88)(28, 108)(29, 107)(30, 89)(31, 92)(32, 90)(33, 99)(34, 97)(35, 100)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 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 E19.621
Graph:: bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 4^18, 24^3 ]

E19.624 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, Y1^-1 * Y2 * Y1 * Y2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1, Y3^-1 * Y1^-2 * Y3 * Y1^2, Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 21, 57, 30, 66, 12, 48, 3, 39, 8, 44, 22, 58, 33, 69, 17, 53, 5, 41)(4, 40, 14, 50, 23, 59, 18, 54, 28, 64, 10, 46, 11, 47, 29, 65, 35, 71, 31, 67, 34, 70, 15, 51)(6, 42, 19, 55, 24, 60, 25, 61, 36, 72, 32, 68, 13, 49, 16, 52, 27, 63, 9, 45, 26, 62, 20, 56)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 84, 120)(78, 114, 85, 121)(79, 115, 94, 130)(81, 117, 97, 133)(82, 118, 87, 123)(86, 122, 101, 137)(88, 124, 91, 127)(89, 125, 102, 138)(90, 126, 103, 139)(92, 128, 104, 140)(93, 129, 105, 141)(95, 131, 107, 143)(96, 132, 99, 135)(98, 134, 108, 144)(100, 136, 106, 142)
	L = (1, 76)(2, 81)(3, 83)(4, 85)(5, 88)(6, 73)(7, 95)(8, 97)(9, 87)(10, 74)(11, 78)(12, 91)(13, 75)(14, 105)(15, 80)(16, 103)(17, 106)(18, 77)(19, 90)(20, 86)(21, 92)(22, 107)(23, 99)(24, 79)(25, 82)(26, 89)(27, 94)(28, 98)(29, 93)(30, 100)(31, 84)(32, 101)(33, 104)(34, 108)(35, 96)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 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 E19.622
Graph:: bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 4^18, 24^3 ]

E19.625 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3), (Y1 * Y3)^2, Y2^-2 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2^2 * Y3^-1 * Y2^4 * Y1^-1, (Y2^-1 * Y3)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 9, 45, 7, 43)(6, 42, 10, 46, 16, 52)(11, 47, 19, 55, 25, 61)(12, 48, 20, 56, 14, 50)(15, 51, 21, 57, 18, 54)(17, 53, 22, 58, 28, 64)(23, 59, 31, 67, 36, 72)(24, 60, 32, 68, 26, 62)(27, 63, 33, 69, 30, 66)(29, 65, 34, 70, 35, 71)(73, 109, 75, 111, 83, 119, 95, 131, 105, 141, 93, 129, 81, 117, 92, 128, 104, 140, 101, 137, 89, 125, 78, 114)(74, 110, 80, 116, 91, 127, 103, 139, 102, 138, 90, 126, 79, 115, 86, 122, 98, 134, 106, 142, 94, 130, 82, 118)(76, 112, 84, 120, 96, 132, 107, 143, 100, 136, 88, 124, 77, 113, 85, 121, 97, 133, 108, 144, 99, 135, 87, 123)
	L = (1, 76)(2, 81)(3, 84)(4, 74)(5, 79)(6, 87)(7, 73)(8, 92)(9, 77)(10, 93)(11, 96)(12, 80)(13, 86)(14, 75)(15, 82)(16, 90)(17, 99)(18, 78)(19, 104)(20, 85)(21, 88)(22, 105)(23, 107)(24, 91)(25, 98)(26, 83)(27, 94)(28, 102)(29, 108)(30, 89)(31, 101)(32, 97)(33, 100)(34, 95)(35, 103)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24 ), ( 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 E19.626
Graph:: bipartite
	v = 15 e = 72 f = 21
	degree seq :: [ 6^12, 24^3 ]

E19.626 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-3 * Y2, (Y3, Y1), (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y2)^2, Y2 * Y1^6, (Y1^-1 * Y3^-1)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 17, 53, 24, 60, 12, 48, 3, 39, 8, 44, 18, 54, 27, 63, 15, 51, 5, 41)(4, 40, 9, 45, 19, 55, 29, 65, 33, 69, 23, 59, 11, 47, 21, 57, 31, 67, 35, 71, 26, 62, 14, 50)(6, 42, 10, 46, 20, 56, 30, 66, 34, 70, 25, 61, 13, 49, 22, 58, 32, 68, 36, 72, 28, 64, 16, 52)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 84, 120)(78, 114, 85, 121)(79, 115, 90, 126)(81, 117, 93, 129)(82, 118, 94, 130)(86, 122, 95, 131)(87, 123, 96, 132)(88, 124, 97, 133)(89, 125, 99, 135)(91, 127, 103, 139)(92, 128, 104, 140)(98, 134, 105, 141)(100, 136, 106, 142)(101, 137, 107, 143)(102, 138, 108, 144)
	L = (1, 76)(2, 81)(3, 83)(4, 85)(5, 86)(6, 73)(7, 91)(8, 93)(9, 94)(10, 74)(11, 78)(12, 95)(13, 75)(14, 97)(15, 98)(16, 77)(17, 101)(18, 103)(19, 104)(20, 79)(21, 82)(22, 80)(23, 88)(24, 105)(25, 84)(26, 106)(27, 107)(28, 87)(29, 108)(30, 89)(31, 92)(32, 90)(33, 100)(34, 96)(35, 102)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 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 E19.625
Graph:: bipartite
	v = 21 e = 72 f = 15
	degree seq :: [ 4^18, 24^3 ]

E19.627 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 38, 38})
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, 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, Y2^19 * Y1, (Y3 * Y2^-1)^38 ]
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, 114, 152, 110, 148, 106, 144, 102, 140, 98, 136, 94, 132, 90, 128, 86, 124, 82, 120, 78, 116, 81, 119, 85, 123, 89, 127, 93, 131, 97, 135, 101, 139, 105, 143, 109, 147, 113, 151, 112, 150, 108, 146, 104, 142, 100, 138, 96, 134, 92, 130, 88, 126, 84, 122, 80, 118)
	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, 76, 4, 76 ), ( 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 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 selfdual
Graph:: bipartite
	v = 20 e = 76 f = 20
	degree seq :: [ 4^19, 76 ]

E19.628 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {39, 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 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 38, 34, 30, 26, 22, 18, 14, 10, 6, 2, 4, 8, 12, 16, 20, 24, 28, 32, 36, 39, 37, 33, 29, 25, 21, 17, 13, 9, 5)(40, 41, 44, 45, 48, 49, 52, 53, 56, 57, 60, 61, 64, 65, 68, 69, 72, 73, 76, 77, 78, 74, 75, 70, 71, 66, 67, 62, 63, 58, 59, 54, 55, 50, 51, 46, 47, 42, 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) :: { ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E19.633
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 39 f = 1
	degree seq :: [ 39^2 ]

E19.629 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {39, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^2 * T2^-1 * T1^2, T2^-9 * T1 * T2^-1, T2^-1 * T1^-1 * T2^-3 * T1^-1 * T2^-5 * T1^-1, (T1^-1 * T2^-1)^39 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 32, 24, 16, 8, 2, 7, 15, 23, 31, 39, 35, 27, 19, 11, 6, 14, 22, 30, 38, 36, 28, 20, 12, 4, 10, 18, 26, 34, 37, 29, 21, 13, 5)(40, 41, 45, 49, 42, 46, 53, 57, 48, 54, 61, 65, 56, 62, 69, 73, 64, 70, 77, 76, 72, 78, 75, 68, 71, 74, 67, 60, 63, 66, 59, 52, 55, 58, 51, 44, 47, 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) :: { ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E19.635
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 39 f = 1
	degree seq :: [ 39^2 ]

E19.630 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {39, 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, T2^-1 * T1^-5, T2^-6 * T1^-1 * 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 * T1^3 * 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, 32, 22, 12, 4, 10, 20, 30, 38, 34, 24, 14, 11, 21, 31, 39, 36, 26, 16, 6, 15, 25, 35, 37, 28, 18, 8, 2, 7, 17, 27, 33, 23, 13, 5)(40, 41, 45, 53, 51, 44, 47, 55, 63, 61, 52, 57, 65, 73, 71, 62, 67, 75, 77, 68, 72, 76, 78, 69, 58, 66, 74, 70, 59, 48, 56, 64, 60, 49, 42, 46, 54, 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) :: { ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E19.634
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 39 f = 1
	degree seq :: [ 39^2 ]

E19.631 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {39, 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^-5, T2 * T1 * T2^4 * T1^3, T2^-1 * T1 * T2^-2 * T1 * T2^-3 * T1, (T1^-1 * T2^-1)^39 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 28, 14, 27, 38, 24, 12, 4, 10, 20, 34, 30, 16, 6, 15, 29, 37, 23, 11, 21, 35, 32, 18, 8, 2, 7, 17, 31, 36, 22, 26, 39, 25, 13, 5)(40, 41, 45, 53, 65, 60, 49, 42, 46, 54, 66, 78, 74, 59, 48, 56, 68, 77, 64, 71, 73, 58, 70, 76, 63, 52, 57, 69, 72, 75, 62, 51, 44, 47, 55, 67, 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) :: { ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E19.636
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 39 f = 1
	degree seq :: [ 39^2 ]

E19.632 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {39, 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), (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^4 * T1^-1, T1^4 * T2 * T1 * T2 * T1^2, T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-3 * T1^-2, T2^-1 * T1^3 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 16, 6, 15, 29, 37, 36, 26, 33, 22, 31, 35, 24, 12, 4, 10, 20, 18, 8, 2, 7, 17, 30, 28, 14, 27, 32, 38, 39, 34, 23, 11, 21, 25, 13, 5)(40, 41, 45, 53, 65, 73, 63, 52, 57, 58, 69, 76, 77, 70, 60, 49, 42, 46, 54, 66, 72, 62, 51, 44, 47, 55, 67, 75, 78, 74, 64, 59, 48, 56, 68, 71, 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) :: { ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E19.637
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 39 f = 1
	degree seq :: [ 39^2 ]

E19.633 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {39, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, T2^-1 * T1, (F * T1)^2, (F * T2)^2, T2^39, T1^39, (T2^-1 * T1^-1)^39 ]
Map:: non-degenerate
	R = (1, 40, 2, 41, 6, 45, 14, 53, 22, 61, 30, 69, 34, 73, 26, 65, 18, 57, 10, 49, 3, 42, 7, 46, 15, 54, 23, 62, 31, 70, 38, 77, 37, 76, 29, 68, 21, 60, 13, 52, 9, 48, 17, 56, 25, 64, 33, 72, 39, 78, 36, 75, 28, 67, 20, 59, 12, 51, 5, 44, 8, 47, 16, 55, 24, 63, 32, 71, 35, 74, 27, 66, 19, 58, 11, 50, 4, 43)
	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, 48)(14, 61)(15, 62)(16, 63)(17, 64)(18, 49)(19, 50)(20, 51)(21, 52)(22, 69)(23, 70)(24, 71)(25, 72)(26, 57)(27, 58)(28, 59)(29, 60)(30, 73)(31, 77)(32, 74)(33, 78)(34, 65)(35, 66)(36, 67)(37, 68)(38, 76)(39, 75)
	local type(s) :: { ( 39^78 ) }
Outer automorphisms :: reflexible
Dual of E19.628
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 2
	degree seq :: [ 78 ]

E19.634 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {39, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^2 * T2^-1 * T1^2, T2^-9 * T1 * T2^-1, T2^-1 * T1^-1 * T2^-3 * T1^-1 * T2^-5 * T1^-1, (T1^-1 * T2^-1)^39 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 17, 56, 25, 64, 33, 72, 32, 71, 24, 63, 16, 55, 8, 47, 2, 41, 7, 46, 15, 54, 23, 62, 31, 70, 39, 78, 35, 74, 27, 66, 19, 58, 11, 50, 6, 45, 14, 53, 22, 61, 30, 69, 38, 77, 36, 75, 28, 67, 20, 59, 12, 51, 4, 43, 10, 49, 18, 57, 26, 65, 34, 73, 37, 76, 29, 68, 21, 60, 13, 52, 5, 44)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 49)(7, 53)(8, 50)(9, 54)(10, 42)(11, 43)(12, 44)(13, 55)(14, 57)(15, 61)(16, 58)(17, 62)(18, 48)(19, 51)(20, 52)(21, 63)(22, 65)(23, 69)(24, 66)(25, 70)(26, 56)(27, 59)(28, 60)(29, 71)(30, 73)(31, 77)(32, 74)(33, 78)(34, 64)(35, 67)(36, 68)(37, 72)(38, 76)(39, 75)
	local type(s) :: { ( 39^78 ) }
Outer automorphisms :: reflexible
Dual of E19.630
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 2
	degree seq :: [ 78 ]

E19.635 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {39, 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 * T1^2 * T2^-1 * T1^-2, T2^-1 * T1^-5, T2^-6 * T1^-1 * 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 * T1^3 * 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, 40, 3, 42, 9, 48, 19, 58, 29, 68, 32, 71, 22, 61, 12, 51, 4, 43, 10, 49, 20, 59, 30, 69, 38, 77, 34, 73, 24, 63, 14, 53, 11, 50, 21, 60, 31, 70, 39, 78, 36, 75, 26, 65, 16, 55, 6, 45, 15, 54, 25, 64, 35, 74, 37, 76, 28, 67, 18, 57, 8, 47, 2, 41, 7, 46, 17, 56, 27, 66, 33, 72, 23, 62, 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, 51)(15, 50)(16, 63)(17, 64)(18, 65)(19, 66)(20, 48)(21, 49)(22, 52)(23, 67)(24, 61)(25, 60)(26, 73)(27, 74)(28, 75)(29, 72)(30, 58)(31, 59)(32, 62)(33, 76)(34, 71)(35, 70)(36, 77)(37, 78)(38, 68)(39, 69)
	local type(s) :: { ( 39^78 ) }
Outer automorphisms :: reflexible
Dual of E19.629
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 2
	degree seq :: [ 78 ]

E19.636 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {39, 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^-1 * T2^-2 * T1 * T2^2, T2^-3 * T1^-1 * T2^-2, T1^-7 * T2^-1 * T1^-1, T2^-1 * T1^2 * T2^-4 * T1^-3, T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^2 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 19, 58, 12, 51, 4, 43, 10, 49, 20, 59, 29, 68, 23, 62, 11, 50, 21, 60, 30, 69, 37, 76, 33, 72, 22, 61, 31, 70, 38, 77, 34, 73, 24, 63, 32, 71, 39, 78, 36, 75, 26, 65, 14, 53, 25, 64, 35, 74, 28, 67, 16, 55, 6, 45, 15, 54, 27, 66, 18, 57, 8, 47, 2, 41, 7, 46, 17, 56, 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, 63)(15, 64)(16, 65)(17, 66)(18, 67)(19, 52)(20, 48)(21, 49)(22, 50)(23, 51)(24, 72)(25, 71)(26, 73)(27, 74)(28, 75)(29, 58)(30, 59)(31, 60)(32, 61)(33, 62)(34, 76)(35, 78)(36, 77)(37, 68)(38, 69)(39, 70)
	local type(s) :: { ( 39^78 ) }
Outer automorphisms :: reflexible
Dual of E19.631
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 2
	degree seq :: [ 78 ]

E19.637 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {39, 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), (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^4 * T1^-1, T1^4 * T2 * T1 * T2 * T1^2, T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-3 * T1^-2, T2^-1 * T1^3 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 19, 58, 16, 55, 6, 45, 15, 54, 29, 68, 37, 76, 36, 75, 26, 65, 33, 72, 22, 61, 31, 70, 35, 74, 24, 63, 12, 51, 4, 43, 10, 49, 20, 59, 18, 57, 8, 47, 2, 41, 7, 46, 17, 56, 30, 69, 28, 67, 14, 53, 27, 66, 32, 71, 38, 77, 39, 78, 34, 73, 23, 62, 11, 50, 21, 60, 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, 58)(19, 69)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 59)(26, 73)(27, 72)(28, 75)(29, 71)(30, 76)(31, 60)(32, 61)(33, 62)(34, 63)(35, 64)(36, 78)(37, 77)(38, 70)(39, 74)
	local type(s) :: { ( 39^78 ) }
Outer automorphisms :: reflexible
Dual of E19.632
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 2
	degree seq :: [ 78 ]

E19.638 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {39, 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, Y1 * Y2^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^19 * Y2, Y2 * Y1^-19 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 10, 49, 14, 53, 18, 57, 22, 61, 26, 65, 30, 69, 34, 73, 38, 77, 36, 75, 32, 71, 28, 67, 24, 63, 20, 59, 16, 55, 12, 51, 8, 47, 3, 42, 5, 44, 7, 46, 11, 50, 15, 54, 19, 58, 23, 62, 27, 66, 31, 70, 35, 74, 39, 78, 37, 76, 33, 72, 29, 68, 25, 64, 21, 60, 17, 56, 13, 52, 9, 48, 4, 43)(79, 118, 81, 120, 82, 121, 86, 125, 87, 126, 90, 129, 91, 130, 94, 133, 95, 134, 98, 137, 99, 138, 102, 141, 103, 142, 106, 145, 107, 146, 110, 149, 111, 150, 114, 153, 115, 154, 116, 155, 117, 156, 112, 151, 113, 152, 108, 147, 109, 148, 104, 143, 105, 144, 100, 139, 101, 140, 96, 135, 97, 136, 92, 131, 93, 132, 88, 127, 89, 128, 84, 123, 85, 124, 80, 119, 83, 122)
	L = (1, 82)(2, 79)(3, 86)(4, 87)(5, 81)(6, 80)(7, 83)(8, 90)(9, 91)(10, 84)(11, 85)(12, 94)(13, 95)(14, 88)(15, 89)(16, 98)(17, 99)(18, 92)(19, 93)(20, 102)(21, 103)(22, 96)(23, 97)(24, 106)(25, 107)(26, 100)(27, 101)(28, 110)(29, 111)(30, 104)(31, 105)(32, 114)(33, 115)(34, 108)(35, 109)(36, 116)(37, 117)(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) :: { ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 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 E19.643
Graph:: bipartite
	v = 2 e = 78 f = 40
	degree seq :: [ 78^2 ]

E19.639 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {39, 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^-1, Y2), (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-4 * Y1, Y1 * Y3^-2 * Y2^-1 * Y3^3 * Y2, Y3^5 * Y2 * Y1^-5, Y3 * Y2 * Y3^3 * Y2 * Y3^4 * Y2 * Y3^4 * Y2 * Y3^4 * Y2 * Y3^4 * Y2 * Y3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 22, 61, 30, 69, 34, 73, 26, 65, 18, 57, 10, 49, 3, 42, 7, 46, 15, 54, 23, 62, 31, 70, 38, 77, 37, 76, 29, 68, 21, 60, 13, 52, 9, 48, 17, 56, 25, 64, 33, 72, 39, 78, 36, 75, 28, 67, 20, 59, 12, 51, 5, 44, 8, 47, 16, 55, 24, 63, 32, 71, 35, 74, 27, 66, 19, 58, 11, 50, 4, 43)(79, 118, 81, 120, 87, 126, 86, 125, 80, 119, 85, 124, 95, 134, 94, 133, 84, 123, 93, 132, 103, 142, 102, 141, 92, 131, 101, 140, 111, 150, 110, 149, 100, 139, 109, 148, 117, 156, 113, 152, 108, 147, 116, 155, 114, 153, 105, 144, 112, 151, 115, 154, 106, 145, 97, 136, 104, 143, 107, 146, 98, 137, 89, 128, 96, 135, 99, 138, 90, 129, 82, 121, 88, 127, 91, 130, 83, 122)
	L = (1, 82)(2, 79)(3, 88)(4, 89)(5, 90)(6, 80)(7, 81)(8, 83)(9, 91)(10, 96)(11, 97)(12, 98)(13, 99)(14, 84)(15, 85)(16, 86)(17, 87)(18, 104)(19, 105)(20, 106)(21, 107)(22, 92)(23, 93)(24, 94)(25, 95)(26, 112)(27, 113)(28, 114)(29, 115)(30, 100)(31, 101)(32, 102)(33, 103)(34, 108)(35, 110)(36, 117)(37, 116)(38, 109)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.645
Graph:: bipartite
	v = 2 e = 78 f = 40
	degree seq :: [ 78^2 ]

E19.640 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {39, 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 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, (Y2, Y1^-1), (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y2^3 * Y3^-1 * Y2^2, Y1 * Y2 * Y3^-7, Y3 * Y1^-5 * Y3 * Y2^-1 * Y3, Y1^3 * Y2^-1 * Y1^2 * Y3^-3 * Y2^2, Y3^2 * Y2^-1 * Y1^2 * Y3 * Y2^-1 * Y3^3 * Y2^-1 * Y3^2 * Y2^2 * Y1^-2, Y2^-1 * Y3^2 * Y2^2 * Y1^-2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 24, 63, 33, 72, 23, 62, 12, 51, 5, 44, 8, 47, 16, 55, 26, 65, 34, 73, 37, 76, 29, 68, 19, 58, 13, 52, 18, 57, 28, 67, 36, 75, 38, 77, 30, 69, 20, 59, 9, 48, 17, 56, 27, 66, 35, 74, 39, 78, 31, 70, 21, 60, 10, 49, 3, 42, 7, 46, 15, 54, 25, 64, 32, 71, 22, 61, 11, 50, 4, 43)(79, 118, 81, 120, 87, 126, 97, 136, 90, 129, 82, 121, 88, 127, 98, 137, 107, 146, 101, 140, 89, 128, 99, 138, 108, 147, 115, 154, 111, 150, 100, 139, 109, 148, 116, 155, 112, 151, 102, 141, 110, 149, 117, 156, 114, 153, 104, 143, 92, 131, 103, 142, 113, 152, 106, 145, 94, 133, 84, 123, 93, 132, 105, 144, 96, 135, 86, 125, 80, 119, 85, 124, 95, 134, 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, 97)(14, 84)(15, 85)(16, 86)(17, 87)(18, 91)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 92)(25, 93)(26, 94)(27, 95)(28, 96)(29, 115)(30, 116)(31, 117)(32, 103)(33, 102)(34, 104)(35, 105)(36, 106)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.646
Graph:: bipartite
	v = 2 e = 78 f = 40
	degree seq :: [ 78^2 ]

E19.641 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {39, 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, Y1 * Y3, (Y1^-1, Y2), (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^7, Y2^4 * Y1 * Y3^-4, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^2 * Y3^-2, Y2 * Y1 * Y2^2 * Y1 * Y2 * Y3^-3, Y1^39, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 26, 65, 33, 72, 19, 58, 31, 70, 37, 76, 23, 62, 12, 51, 5, 44, 8, 47, 16, 55, 28, 67, 34, 73, 20, 59, 9, 48, 17, 56, 29, 68, 38, 77, 24, 63, 13, 52, 18, 57, 30, 69, 35, 74, 21, 60, 10, 49, 3, 42, 7, 46, 15, 54, 27, 66, 39, 78, 25, 64, 32, 71, 36, 75, 22, 61, 11, 50, 4, 43)(79, 118, 81, 120, 87, 126, 97, 136, 110, 149, 96, 135, 86, 125, 80, 119, 85, 124, 95, 134, 109, 148, 114, 153, 108, 147, 94, 133, 84, 123, 93, 132, 107, 146, 115, 154, 100, 139, 113, 152, 106, 145, 92, 131, 105, 144, 116, 155, 101, 140, 89, 128, 99, 138, 112, 151, 104, 143, 117, 156, 102, 141, 90, 129, 82, 121, 88, 127, 98, 137, 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, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 103)(33, 104)(34, 106)(35, 108)(36, 110)(37, 109)(38, 107)(39, 105)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.644
Graph:: bipartite
	v = 2 e = 78 f = 40
	degree seq :: [ 78^2 ]

E19.642 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {39, 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 * Y2)^2, (Y1^-1, Y2), (R * Y1)^2, Y1^4 * Y2^-2 * Y3^-1, Y2^-2 * Y1^2 * Y3^-3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y2 * Y1 * Y2^2 * Y1 * Y2^4, Y2^3 * Y3 * Y2^-1 * Y1^2 * Y3^6, Y1 * Y2 * Y1 * Y2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2, 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, 9, 48, 17, 56, 27, 66, 36, 75, 38, 77, 30, 69, 34, 73, 25, 64, 29, 68, 32, 71, 23, 62, 12, 51, 5, 44, 8, 47, 16, 55, 21, 60, 10, 49, 3, 42, 7, 46, 15, 54, 26, 65, 31, 70, 19, 58, 28, 67, 35, 74, 37, 76, 39, 78, 33, 72, 24, 63, 13, 52, 18, 57, 22, 61, 11, 50, 4, 43)(79, 118, 81, 120, 87, 126, 97, 136, 108, 147, 111, 150, 101, 140, 89, 128, 99, 138, 92, 131, 104, 143, 114, 153, 115, 154, 107, 146, 96, 135, 86, 125, 80, 119, 85, 124, 95, 134, 106, 145, 112, 151, 102, 141, 90, 129, 82, 121, 88, 127, 98, 137, 109, 148, 116, 155, 117, 156, 110, 149, 100, 139, 94, 133, 84, 123, 93, 132, 105, 144, 113, 152, 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, 109)(20, 92)(21, 94)(22, 96)(23, 110)(24, 111)(25, 112)(26, 93)(27, 95)(28, 97)(29, 103)(30, 116)(31, 104)(32, 107)(33, 117)(34, 108)(35, 106)(36, 105)(37, 113)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.647
Graph:: bipartite
	v = 2 e = 78 f = 40
	degree seq :: [ 78^2 ]

E19.643 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {39, 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 * Y2, (R * Y1)^2, R * Y2 * R * Y3^-1, Y2^39, (Y3^-1 * Y1^-1)^39, (Y3 * Y2^-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, 82, 121, 84, 123, 86, 125, 88, 127, 90, 129, 92, 131, 102, 141, 100, 139, 98, 137, 96, 135, 94, 133, 95, 134, 97, 136, 99, 138, 101, 140, 103, 142, 104, 143, 105, 144, 115, 154, 113, 152, 111, 150, 109, 148, 107, 146, 108, 147, 110, 149, 112, 151, 114, 153, 116, 155, 117, 156, 106, 145, 93, 132, 91, 130, 89, 128, 87, 126, 85, 124, 83, 122, 81, 120)
	L = (1, 81)(2, 79)(3, 83)(4, 80)(5, 85)(6, 82)(7, 87)(8, 84)(9, 89)(10, 86)(11, 91)(12, 88)(13, 93)(14, 90)(15, 106)(16, 96)(17, 94)(18, 98)(19, 95)(20, 100)(21, 97)(22, 102)(23, 99)(24, 92)(25, 101)(26, 103)(27, 104)(28, 117)(29, 109)(30, 107)(31, 111)(32, 108)(33, 113)(34, 110)(35, 115)(36, 112)(37, 105)(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) :: { ( 78, 78 ), ( 78^78 ) }
Outer automorphisms :: reflexible
Dual of E19.638
Graph:: bipartite
	v = 40 e = 78 f = 2
	degree seq :: [ 2^39, 78 ]

E19.644 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {39, 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^-1, Y2), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^4, Y3^2 * Y2^-2 * Y3^-4 * Y2^-2 * Y3, Y3^-9 * Y2^-1 * Y3^-1, (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, 90, 129, 83, 122, 86, 125, 92, 131, 98, 137, 91, 130, 94, 133, 100, 139, 106, 145, 99, 138, 102, 141, 108, 147, 114, 153, 107, 146, 110, 149, 116, 155, 111, 150, 115, 154, 117, 156, 112, 151, 103, 142, 109, 148, 113, 152, 104, 143, 95, 134, 101, 140, 105, 144, 96, 135, 87, 126, 93, 132, 97, 136, 88, 127, 81, 120, 85, 124, 89, 128, 82, 121)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 89)(7, 93)(8, 80)(9, 95)(10, 96)(11, 97)(12, 82)(13, 83)(14, 84)(15, 101)(16, 86)(17, 103)(18, 104)(19, 105)(20, 90)(21, 91)(22, 92)(23, 109)(24, 94)(25, 111)(26, 112)(27, 113)(28, 98)(29, 99)(30, 100)(31, 115)(32, 102)(33, 114)(34, 116)(35, 117)(36, 106)(37, 107)(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) :: { ( 78, 78 ), ( 78^78 ) }
Outer automorphisms :: reflexible
Dual of E19.641
Graph:: bipartite
	v = 40 e = 78 f = 2
	degree seq :: [ 2^39, 78 ]

E19.645 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {39, 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, (R * Y2)^2, (Y2, Y3^-1), Y2^-3 * Y3^-1 * Y2^-4, Y3^-1 * Y2 * Y3^-1 * Y2^2 * Y3^-3 * Y2, Y3^2 * Y2^2 * Y3^4 * Y2, (Y2 * Y3^-2)^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, 92, 131, 104, 143, 101, 140, 90, 129, 83, 122, 86, 125, 94, 133, 106, 145, 111, 150, 115, 154, 102, 141, 91, 130, 96, 135, 108, 147, 112, 151, 97, 136, 109, 148, 116, 155, 103, 142, 110, 149, 113, 152, 98, 137, 87, 126, 95, 134, 107, 146, 117, 156, 114, 153, 99, 138, 88, 127, 81, 120, 85, 124, 93, 132, 105, 144, 100, 139, 89, 128, 82, 121)
	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, 100)(27, 117)(28, 92)(29, 116)(30, 94)(31, 115)(32, 96)(33, 104)(34, 106)(35, 108)(36, 110)(37, 101)(38, 102)(39, 103)(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 ), ( 78^78 ) }
Outer automorphisms :: reflexible
Dual of E19.639
Graph:: bipartite
	v = 40 e = 78 f = 2
	degree seq :: [ 2^39, 78 ]

E19.646 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {39, 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^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^3, Y2^5 * Y3 * Y2^5, Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^2 * Y3^-1 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-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, 108, 147, 115, 154, 107, 146, 99, 138, 90, 129, 83, 122, 86, 125, 94, 133, 102, 141, 110, 149, 116, 155, 112, 151, 104, 143, 96, 135, 87, 126, 91, 130, 95, 134, 103, 142, 111, 150, 117, 156, 113, 152, 105, 144, 97, 136, 88, 127, 81, 120, 85, 124, 93, 132, 101, 140, 109, 148, 114, 153, 106, 145, 98, 137, 89, 128, 82, 121)
	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) :: { ( 78, 78 ), ( 78^78 ) }
Outer automorphisms :: reflexible
Dual of E19.640
Graph:: bipartite
	v = 40 e = 78 f = 2
	degree seq :: [ 2^39, 78 ]

E19.647 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {39, 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, (R * Y2)^2, (Y2^-1, Y3), Y2^2 * Y3^5, Y2^2 * Y3^-1 * Y2^4 * Y3^-1 * Y2, Y2^39, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-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, 110, 149, 98, 137, 87, 126, 95, 134, 103, 142, 108, 147, 115, 154, 117, 156, 113, 152, 101, 140, 90, 129, 83, 122, 86, 125, 94, 133, 106, 145, 111, 150, 99, 138, 88, 127, 81, 120, 85, 124, 93, 132, 105, 144, 114, 153, 116, 155, 109, 148, 97, 136, 102, 141, 91, 130, 96, 135, 107, 146, 112, 151, 100, 139, 89, 128, 82, 121)
	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, 103)(16, 84)(17, 102)(18, 86)(19, 101)(20, 109)(21, 110)(22, 111)(23, 89)(24, 90)(25, 91)(26, 114)(27, 108)(28, 92)(29, 94)(30, 96)(31, 113)(32, 116)(33, 104)(34, 106)(35, 100)(36, 115)(37, 107)(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) :: { ( 78, 78 ), ( 78^78 ) }
Outer automorphisms :: reflexible
Dual of E19.642
Graph:: bipartite
	v = 40 e = 78 f = 2
	degree seq :: [ 2^39, 78 ]

E19.648 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 10})
Quotient :: edge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2^-1)^2, Y1^4, Y1 * Y2^2 * Y1, (Y3^-1 * Y1^-1)^2, Y2^4, R * Y1 * R * Y2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y2)^2, Y1^-1 * Y3 * Y2^2 * Y3^-1 * Y1^-1, (Y3 * Y1 * Y2^-1)^2, Y3^-1 * Y1 * Y3^3 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 19, 59, 28, 68, 9, 49, 26, 66, 13, 53, 34, 74, 22, 62, 7, 47)(2, 42, 10, 50, 30, 70, 18, 58, 6, 46, 21, 61, 25, 65, 39, 79, 32, 72, 12, 52)(3, 43, 14, 54, 27, 67, 40, 80, 33, 73, 17, 57, 5, 45, 20, 60, 36, 76, 16, 56)(8, 48, 23, 63, 37, 77, 29, 69, 11, 51, 31, 71, 15, 55, 35, 75, 38, 78, 24, 64)(81, 82, 88, 85)(83, 93, 86, 95)(84, 97, 103, 92)(87, 100, 104, 90)(89, 105, 91, 107)(94, 111, 101, 106)(96, 115, 98, 114)(99, 112, 117, 113)(102, 110, 118, 116)(108, 120, 109, 119)(121, 123, 128, 126)(122, 129, 125, 131)(124, 138, 143, 136)(127, 141, 144, 134)(130, 149, 140, 148)(132, 151, 137, 146)(133, 153, 135, 152)(139, 156, 157, 150)(142, 147, 158, 145)(154, 159, 155, 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) :: { ( 8^4 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E19.651
Graph:: simple bipartite
	v = 24 e = 80 f = 20
	degree seq :: [ 4^20, 20^4 ]

E19.649 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 10})
Quotient :: edge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, Y1^4, Y2^2 * Y1^2, (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y2^-1)^2, Y1^-1 * Y2^2 * Y1^-1, (Y3 * Y1^-1)^2, (Y2^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 41, 4, 44)(2, 42, 9, 49)(3, 43, 12, 52)(5, 45, 14, 54)(6, 46, 15, 55)(7, 47, 16, 56)(8, 48, 18, 58)(10, 50, 20, 60)(11, 51, 22, 62)(13, 53, 24, 64)(17, 57, 26, 66)(19, 59, 28, 68)(21, 61, 30, 70)(23, 63, 32, 72)(25, 65, 34, 74)(27, 67, 36, 76)(29, 69, 37, 77)(31, 71, 38, 78)(33, 73, 39, 79)(35, 75, 40, 80)(81, 82, 87, 85)(83, 91, 86, 93)(84, 94, 96, 89)(88, 97, 90, 99)(92, 104, 95, 102)(98, 108, 100, 106)(101, 109, 103, 111)(105, 113, 107, 115)(110, 118, 112, 117)(114, 120, 116, 119)(121, 123, 127, 126)(122, 128, 125, 130)(124, 135, 136, 132)(129, 140, 134, 138)(131, 141, 133, 143)(137, 145, 139, 147)(142, 152, 144, 150)(146, 156, 148, 154)(149, 155, 151, 153)(157, 159, 158, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E19.650
Graph:: simple bipartite
	v = 40 e = 80 f = 4
	degree seq :: [ 4^40 ]

E19.650 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 10})
Quotient :: loop^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2^-1)^2, Y1^4, Y1 * Y2^2 * Y1, (Y3^-1 * Y1^-1)^2, Y2^4, R * Y1 * R * Y2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y2)^2, Y1^-1 * Y3 * Y2^2 * Y3^-1 * Y1^-1, (Y3 * Y1 * Y2^-1)^2, Y3^-1 * Y1 * Y3^3 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 19, 59, 99, 139, 28, 68, 108, 148, 9, 49, 89, 129, 26, 66, 106, 146, 13, 53, 93, 133, 34, 74, 114, 154, 22, 62, 102, 142, 7, 47, 87, 127)(2, 42, 82, 122, 10, 50, 90, 130, 30, 70, 110, 150, 18, 58, 98, 138, 6, 46, 86, 126, 21, 61, 101, 141, 25, 65, 105, 145, 39, 79, 119, 159, 32, 72, 112, 152, 12, 52, 92, 132)(3, 43, 83, 123, 14, 54, 94, 134, 27, 67, 107, 147, 40, 80, 120, 160, 33, 73, 113, 153, 17, 57, 97, 137, 5, 45, 85, 125, 20, 60, 100, 140, 36, 76, 116, 156, 16, 56, 96, 136)(8, 48, 88, 128, 23, 63, 103, 143, 37, 77, 117, 157, 29, 69, 109, 149, 11, 51, 91, 131, 31, 71, 111, 151, 15, 55, 95, 135, 35, 75, 115, 155, 38, 78, 118, 158, 24, 64, 104, 144)
	L = (1, 42)(2, 48)(3, 53)(4, 57)(5, 41)(6, 55)(7, 60)(8, 45)(9, 65)(10, 47)(11, 67)(12, 44)(13, 46)(14, 71)(15, 43)(16, 75)(17, 63)(18, 74)(19, 72)(20, 64)(21, 66)(22, 70)(23, 52)(24, 50)(25, 51)(26, 54)(27, 49)(28, 80)(29, 79)(30, 78)(31, 61)(32, 77)(33, 59)(34, 56)(35, 58)(36, 62)(37, 73)(38, 76)(39, 68)(40, 69)(81, 123)(82, 129)(83, 128)(84, 138)(85, 131)(86, 121)(87, 141)(88, 126)(89, 125)(90, 149)(91, 122)(92, 151)(93, 153)(94, 127)(95, 152)(96, 124)(97, 146)(98, 143)(99, 156)(100, 148)(101, 144)(102, 147)(103, 136)(104, 134)(105, 142)(106, 132)(107, 158)(108, 130)(109, 140)(110, 139)(111, 137)(112, 133)(113, 135)(114, 159)(115, 160)(116, 157)(117, 150)(118, 145)(119, 155)(120, 154)
	local type(s) :: { ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E19.649
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 80 f = 40
	degree seq :: [ 40^4 ]

E19.651 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 10})
Quotient :: loop^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, Y1^4, Y2^2 * Y1^2, (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y2^-1)^2, Y1^-1 * Y2^2 * Y1^-1, (Y3 * Y1^-1)^2, (Y2^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 9, 49, 89, 129)(3, 43, 83, 123, 12, 52, 92, 132)(5, 45, 85, 125, 14, 54, 94, 134)(6, 46, 86, 126, 15, 55, 95, 135)(7, 47, 87, 127, 16, 56, 96, 136)(8, 48, 88, 128, 18, 58, 98, 138)(10, 50, 90, 130, 20, 60, 100, 140)(11, 51, 91, 131, 22, 62, 102, 142)(13, 53, 93, 133, 24, 64, 104, 144)(17, 57, 97, 137, 26, 66, 106, 146)(19, 59, 99, 139, 28, 68, 108, 148)(21, 61, 101, 141, 30, 70, 110, 150)(23, 63, 103, 143, 32, 72, 112, 152)(25, 65, 105, 145, 34, 74, 114, 154)(27, 67, 107, 147, 36, 76, 116, 156)(29, 69, 109, 149, 37, 77, 117, 157)(31, 71, 111, 151, 38, 78, 118, 158)(33, 73, 113, 153, 39, 79, 119, 159)(35, 75, 115, 155, 40, 80, 120, 160)
	L = (1, 42)(2, 47)(3, 51)(4, 54)(5, 41)(6, 53)(7, 45)(8, 57)(9, 44)(10, 59)(11, 46)(12, 64)(13, 43)(14, 56)(15, 62)(16, 49)(17, 50)(18, 68)(19, 48)(20, 66)(21, 69)(22, 52)(23, 71)(24, 55)(25, 73)(26, 58)(27, 75)(28, 60)(29, 63)(30, 78)(31, 61)(32, 77)(33, 67)(34, 80)(35, 65)(36, 79)(37, 70)(38, 72)(39, 74)(40, 76)(81, 123)(82, 128)(83, 127)(84, 135)(85, 130)(86, 121)(87, 126)(88, 125)(89, 140)(90, 122)(91, 141)(92, 124)(93, 143)(94, 138)(95, 136)(96, 132)(97, 145)(98, 129)(99, 147)(100, 134)(101, 133)(102, 152)(103, 131)(104, 150)(105, 139)(106, 156)(107, 137)(108, 154)(109, 155)(110, 142)(111, 153)(112, 144)(113, 149)(114, 146)(115, 151)(116, 148)(117, 159)(118, 160)(119, 158)(120, 157)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.648
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 24
	degree seq :: [ 8^20 ]

E19.652 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y3)^2, (Y2^-1 * R)^2, Y3 * Y2 * Y3 * Y2^-1, Y2^-1 * Y1 * Y2 * Y1, (R * Y1)^2, Y2^-2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 6, 46)(4, 44, 11, 51)(5, 45, 8, 48)(7, 47, 15, 55)(9, 49, 13, 53)(10, 50, 18, 58)(12, 52, 20, 60)(14, 54, 22, 62)(16, 56, 24, 64)(17, 57, 25, 65)(19, 59, 27, 67)(21, 61, 29, 69)(23, 63, 31, 71)(26, 66, 34, 74)(28, 68, 36, 76)(30, 70, 38, 78)(32, 72, 40, 80)(33, 73, 39, 79)(35, 75, 37, 77)(81, 121, 83, 123, 89, 129, 85, 125)(82, 122, 86, 126, 93, 133, 88, 128)(84, 124, 90, 130, 97, 137, 92, 132)(87, 127, 94, 134, 101, 141, 96, 136)(91, 131, 98, 138, 105, 145, 100, 140)(95, 135, 102, 142, 109, 149, 104, 144)(99, 139, 106, 146, 113, 153, 108, 148)(103, 143, 110, 150, 117, 157, 112, 152)(107, 147, 114, 154, 119, 159, 116, 156)(111, 151, 118, 158, 115, 155, 120, 160)
	L = (1, 84)(2, 87)(3, 90)(4, 81)(5, 92)(6, 94)(7, 82)(8, 96)(9, 97)(10, 83)(11, 99)(12, 85)(13, 101)(14, 86)(15, 103)(16, 88)(17, 89)(18, 106)(19, 91)(20, 108)(21, 93)(22, 110)(23, 95)(24, 112)(25, 113)(26, 98)(27, 115)(28, 100)(29, 117)(30, 102)(31, 119)(32, 104)(33, 105)(34, 120)(35, 107)(36, 118)(37, 109)(38, 116)(39, 111)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.659
Graph:: simple bipartite
	v = 30 e = 80 f = 14
	degree seq :: [ 4^20, 8^10 ]

E19.653 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, (Y2^-1 * R)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3 * Y1 * Y3 * Y2 * Y1, (Y2^-2 * Y1)^2, Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 12, 52)(5, 45, 14, 54)(6, 46, 15, 55)(7, 47, 18, 58)(8, 48, 20, 60)(10, 50, 16, 56)(11, 51, 17, 57)(13, 53, 19, 59)(21, 61, 31, 71)(22, 62, 33, 73)(23, 63, 34, 74)(24, 64, 32, 72)(25, 65, 35, 75)(26, 66, 36, 76)(27, 67, 38, 78)(28, 68, 39, 79)(29, 69, 37, 77)(30, 70, 40, 80)(81, 121, 83, 123, 90, 130, 85, 125)(82, 122, 86, 126, 96, 136, 88, 128)(84, 124, 91, 131, 104, 144, 93, 133)(87, 127, 97, 137, 109, 149, 99, 139)(89, 129, 101, 141, 94, 134, 103, 143)(92, 132, 102, 142, 112, 152, 105, 145)(95, 135, 106, 146, 100, 140, 108, 148)(98, 138, 107, 147, 117, 157, 110, 150)(111, 151, 118, 158, 114, 154, 120, 160)(113, 153, 119, 159, 115, 155, 116, 156)
	L = (1, 84)(2, 87)(3, 91)(4, 81)(5, 93)(6, 97)(7, 82)(8, 99)(9, 102)(10, 104)(11, 83)(12, 103)(13, 85)(14, 105)(15, 107)(16, 109)(17, 86)(18, 108)(19, 88)(20, 110)(21, 112)(22, 89)(23, 92)(24, 90)(25, 94)(26, 117)(27, 95)(28, 98)(29, 96)(30, 100)(31, 119)(32, 101)(33, 120)(34, 116)(35, 118)(36, 114)(37, 106)(38, 115)(39, 111)(40, 113)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.658
Graph:: simple bipartite
	v = 30 e = 80 f = 14
	degree seq :: [ 4^20, 8^10 ]

E19.654 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, Y2^4, (Y2^-1 * Y1)^2, Y3^5, Y2 * R * Y2^-2 * R * Y2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 8, 48)(5, 45, 7, 47)(6, 46, 10, 50)(11, 51, 18, 58)(12, 52, 23, 63)(13, 53, 22, 62)(14, 54, 21, 61)(15, 55, 20, 60)(16, 56, 19, 59)(17, 57, 24, 64)(25, 65, 31, 71)(26, 66, 32, 72)(27, 67, 36, 76)(28, 68, 35, 75)(29, 69, 34, 74)(30, 70, 33, 73)(37, 77, 39, 79)(38, 78, 40, 80)(81, 121, 83, 123, 91, 131, 85, 125)(82, 122, 87, 127, 98, 138, 89, 129)(84, 124, 93, 133, 105, 145, 95, 135)(86, 126, 92, 132, 106, 146, 96, 136)(88, 128, 100, 140, 111, 151, 102, 142)(90, 130, 99, 139, 112, 152, 103, 143)(94, 134, 108, 148, 117, 157, 109, 149)(97, 137, 107, 147, 118, 158, 110, 150)(101, 141, 114, 154, 119, 159, 115, 155)(104, 144, 113, 153, 120, 160, 116, 156)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 96)(6, 81)(7, 99)(8, 101)(9, 103)(10, 82)(11, 105)(12, 107)(13, 83)(14, 97)(15, 85)(16, 110)(17, 86)(18, 111)(19, 113)(20, 87)(21, 104)(22, 89)(23, 116)(24, 90)(25, 117)(26, 91)(27, 108)(28, 93)(29, 95)(30, 109)(31, 119)(32, 98)(33, 114)(34, 100)(35, 102)(36, 115)(37, 118)(38, 106)(39, 120)(40, 112)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.660
Graph:: simple bipartite
	v = 30 e = 80 f = 14
	degree seq :: [ 4^20, 8^10 ]

E19.655 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2 * Y3 * Y2^-1, Y2^4, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3^-5, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-2, Y2 * R * Y1 * Y2^2 * R * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 8, 48)(5, 45, 7, 47)(6, 46, 10, 50)(11, 51, 18, 58)(12, 52, 23, 63)(13, 53, 22, 62)(14, 54, 21, 61)(15, 55, 20, 60)(16, 56, 19, 59)(17, 57, 24, 64)(25, 65, 33, 73)(26, 66, 34, 74)(27, 67, 39, 79)(28, 68, 38, 78)(29, 69, 37, 77)(30, 70, 36, 76)(31, 71, 35, 75)(32, 72, 40, 80)(81, 121, 83, 123, 91, 131, 85, 125)(82, 122, 87, 127, 98, 138, 89, 129)(84, 124, 93, 133, 105, 145, 95, 135)(86, 126, 92, 132, 106, 146, 96, 136)(88, 128, 100, 140, 113, 153, 102, 142)(90, 130, 99, 139, 114, 154, 103, 143)(94, 134, 108, 148, 112, 152, 110, 150)(97, 137, 107, 147, 109, 149, 111, 151)(101, 141, 116, 156, 120, 160, 118, 158)(104, 144, 115, 155, 117, 157, 119, 159)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 96)(6, 81)(7, 99)(8, 101)(9, 103)(10, 82)(11, 105)(12, 107)(13, 83)(14, 109)(15, 85)(16, 111)(17, 86)(18, 113)(19, 115)(20, 87)(21, 117)(22, 89)(23, 119)(24, 90)(25, 112)(26, 91)(27, 110)(28, 93)(29, 106)(30, 95)(31, 108)(32, 97)(33, 120)(34, 98)(35, 118)(36, 100)(37, 114)(38, 102)(39, 116)(40, 104)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.661
Graph:: simple bipartite
	v = 30 e = 80 f = 14
	degree seq :: [ 4^20, 8^10 ]

E19.656 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, (Y2, Y1), Y2^2 * Y1^2, (Y2, Y3^-1), (R * Y2)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, Y2^-1 * Y3^-5, Y1^-1 * Y3^-2 * Y2^2 * Y3^2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 9, 49, 6, 46, 11, 51)(4, 44, 15, 55, 21, 61, 12, 52)(7, 47, 18, 58, 22, 62, 10, 50)(13, 53, 27, 67, 17, 57, 24, 64)(14, 54, 26, 66, 19, 59, 23, 63)(16, 56, 28, 68, 35, 75, 31, 71)(20, 60, 25, 65, 36, 76, 34, 74)(29, 69, 38, 78, 33, 73, 39, 79)(30, 70, 37, 77, 32, 72, 40, 80)(81, 121, 83, 123, 88, 128, 86, 126)(82, 122, 89, 129, 85, 125, 91, 131)(84, 124, 93, 133, 101, 141, 97, 137)(87, 127, 94, 134, 102, 142, 99, 139)(90, 130, 103, 143, 98, 138, 106, 146)(92, 132, 104, 144, 95, 135, 107, 147)(96, 136, 109, 149, 115, 155, 113, 153)(100, 140, 110, 150, 116, 156, 112, 152)(105, 145, 117, 157, 114, 154, 120, 160)(108, 148, 118, 158, 111, 151, 119, 159)
	L = (1, 84)(2, 90)(3, 93)(4, 96)(5, 98)(6, 97)(7, 81)(8, 101)(9, 103)(10, 105)(11, 106)(12, 82)(13, 109)(14, 83)(15, 85)(16, 112)(17, 113)(18, 114)(19, 86)(20, 87)(21, 115)(22, 88)(23, 117)(24, 89)(25, 119)(26, 120)(27, 91)(28, 92)(29, 100)(30, 94)(31, 95)(32, 99)(33, 116)(34, 118)(35, 110)(36, 102)(37, 108)(38, 104)(39, 107)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.657
Graph:: bipartite
	v = 20 e = 80 f = 24
	degree seq :: [ 8^20 ]

E19.657 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y1)^2, (Y1^-1 * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^4, (R * Y2)^2, Y1^3 * Y3^-1 * Y1^-2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 18, 58, 30, 70, 15, 55, 24, 64, 31, 71, 16, 56, 5, 45)(3, 43, 11, 51, 25, 65, 37, 77, 36, 76, 28, 68, 40, 80, 33, 73, 19, 59, 8, 48)(4, 44, 14, 54, 29, 69, 21, 61, 10, 50, 6, 46, 17, 57, 32, 72, 20, 60, 9, 49)(12, 52, 22, 62, 34, 74, 39, 79, 27, 67, 13, 53, 23, 63, 35, 75, 38, 78, 26, 66)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 92, 132)(85, 125, 91, 131)(86, 126, 93, 133)(87, 127, 99, 139)(89, 129, 102, 142)(90, 130, 103, 143)(94, 134, 106, 146)(95, 135, 108, 148)(96, 136, 105, 145)(97, 137, 107, 147)(98, 138, 113, 153)(100, 140, 114, 154)(101, 141, 115, 155)(104, 144, 116, 156)(109, 149, 118, 158)(110, 150, 120, 160)(111, 151, 117, 157)(112, 152, 119, 159)
	L = (1, 84)(2, 89)(3, 92)(4, 95)(5, 94)(6, 81)(7, 100)(8, 102)(9, 104)(10, 82)(11, 106)(12, 108)(13, 83)(14, 110)(15, 86)(16, 109)(17, 85)(18, 112)(19, 114)(20, 111)(21, 87)(22, 116)(23, 88)(24, 90)(25, 118)(26, 120)(27, 91)(28, 93)(29, 98)(30, 97)(31, 101)(32, 96)(33, 119)(34, 117)(35, 99)(36, 103)(37, 115)(38, 113)(39, 105)(40, 107)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E19.656
Graph:: simple bipartite
	v = 24 e = 80 f = 20
	degree seq :: [ 4^20, 20^4 ]

E19.658 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, (Y2, Y1), R * Y2 * R * Y2^-1, (Y2^-1 * Y3)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3, Y1^4, (R * Y3)^2, Y2^-5 * Y1^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 5, 45)(3, 43, 8, 48, 18, 58, 13, 53)(4, 44, 9, 49, 19, 59, 15, 55)(6, 46, 10, 50, 20, 60, 16, 56)(11, 51, 21, 61, 32, 72, 27, 67)(12, 52, 22, 62, 33, 73, 28, 68)(14, 54, 23, 63, 34, 74, 30, 70)(17, 57, 24, 64, 25, 65, 31, 71)(26, 66, 35, 75, 39, 79, 38, 78)(29, 69, 36, 76, 37, 77, 40, 80)(81, 121, 83, 123, 91, 131, 105, 145, 100, 140, 87, 127, 98, 138, 112, 152, 97, 137, 86, 126)(82, 122, 88, 128, 101, 141, 111, 151, 96, 136, 85, 125, 93, 133, 107, 147, 104, 144, 90, 130)(84, 124, 94, 134, 109, 149, 119, 159, 113, 153, 99, 139, 114, 154, 117, 157, 106, 146, 92, 132)(89, 129, 103, 143, 116, 156, 118, 158, 108, 148, 95, 135, 110, 150, 120, 160, 115, 155, 102, 142)
	L = (1, 84)(2, 89)(3, 92)(4, 81)(5, 95)(6, 94)(7, 99)(8, 102)(9, 82)(10, 103)(11, 106)(12, 83)(13, 108)(14, 86)(15, 85)(16, 110)(17, 109)(18, 113)(19, 87)(20, 114)(21, 115)(22, 88)(23, 90)(24, 116)(25, 117)(26, 91)(27, 118)(28, 93)(29, 97)(30, 96)(31, 120)(32, 119)(33, 98)(34, 100)(35, 101)(36, 104)(37, 105)(38, 107)(39, 112)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8, 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 E19.653
Graph:: bipartite
	v = 14 e = 80 f = 30
	degree seq :: [ 8^10, 20^4 ]

E19.659 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y2^-1, Y1 * Y2 * Y1^-1 * Y2, (R * Y3)^2, Y1^4, Y3 * Y1 * Y3 * Y1^-1, (Y2^-1 * Y3)^2, (R * Y1)^2, Y1 * Y2^2 * Y1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 5, 45)(3, 43, 10, 50, 18, 58, 13, 53)(4, 44, 9, 49, 19, 59, 15, 55)(6, 46, 8, 48, 20, 60, 16, 56)(11, 51, 24, 64, 32, 72, 27, 67)(12, 52, 23, 63, 33, 73, 28, 68)(14, 54, 22, 62, 34, 74, 30, 70)(17, 57, 21, 61, 25, 65, 31, 71)(26, 66, 36, 76, 39, 79, 38, 78)(29, 69, 35, 75, 37, 77, 40, 80)(81, 121, 83, 123, 91, 131, 105, 145, 100, 140, 87, 127, 98, 138, 112, 152, 97, 137, 86, 126)(82, 122, 88, 128, 101, 141, 107, 147, 93, 133, 85, 125, 96, 136, 111, 151, 104, 144, 90, 130)(84, 124, 94, 134, 109, 149, 119, 159, 113, 153, 99, 139, 114, 154, 117, 157, 106, 146, 92, 132)(89, 129, 103, 143, 116, 156, 120, 160, 110, 150, 95, 135, 108, 148, 118, 158, 115, 155, 102, 142)
	L = (1, 84)(2, 89)(3, 92)(4, 81)(5, 95)(6, 94)(7, 99)(8, 102)(9, 82)(10, 103)(11, 106)(12, 83)(13, 108)(14, 86)(15, 85)(16, 110)(17, 109)(18, 113)(19, 87)(20, 114)(21, 115)(22, 88)(23, 90)(24, 116)(25, 117)(26, 91)(27, 118)(28, 93)(29, 97)(30, 96)(31, 120)(32, 119)(33, 98)(34, 100)(35, 101)(36, 104)(37, 105)(38, 107)(39, 112)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8, 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 E19.652
Graph:: bipartite
	v = 14 e = 80 f = 30
	degree seq :: [ 8^10, 20^4 ]

E19.660 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2)^2, Y1^4, (Y1^-1 * Y2^-1)^2, Y3^-1 * Y2^-4, Y3^5, Y3^-1 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 13, 53, 22, 62, 11, 51)(4, 44, 12, 52, 23, 63, 17, 57)(6, 46, 18, 58, 24, 64, 9, 49)(7, 47, 10, 50, 25, 65, 19, 59)(14, 54, 29, 69, 36, 76, 32, 72)(15, 55, 33, 73, 37, 77, 30, 70)(16, 56, 31, 71, 38, 78, 28, 68)(20, 60, 26, 66, 39, 79, 34, 74)(21, 61, 35, 75, 40, 80, 27, 67)(81, 121, 83, 123, 94, 134, 101, 141, 87, 127, 96, 136, 84, 124, 95, 135, 100, 140, 86, 126)(82, 122, 89, 129, 106, 146, 110, 150, 92, 132, 108, 148, 90, 130, 107, 147, 109, 149, 91, 131)(85, 125, 98, 138, 114, 154, 113, 153, 97, 137, 111, 151, 99, 139, 115, 155, 112, 152, 93, 133)(88, 128, 102, 142, 116, 156, 120, 160, 105, 145, 118, 158, 103, 143, 117, 157, 119, 159, 104, 144)
	L = (1, 84)(2, 90)(3, 95)(4, 94)(5, 99)(6, 96)(7, 81)(8, 103)(9, 107)(10, 106)(11, 108)(12, 82)(13, 111)(14, 100)(15, 101)(16, 83)(17, 85)(18, 115)(19, 114)(20, 87)(21, 86)(22, 117)(23, 116)(24, 118)(25, 88)(26, 109)(27, 110)(28, 89)(29, 92)(30, 91)(31, 98)(32, 97)(33, 93)(34, 112)(35, 113)(36, 119)(37, 120)(38, 102)(39, 105)(40, 104)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8, 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 E19.654
Graph:: bipartite
	v = 14 e = 80 f = 30
	degree seq :: [ 8^10, 20^4 ]

E19.661 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-2, (Y3, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y1 * Y2^-1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^4, (Y1^-1 * Y2^-1)^2, Y1^2 * Y3 * Y1^2 * Y3^-1, (Y3 * Y2^-1 * Y1^-1)^2, Y2^-1 * Y1^2 * Y3^-1 * Y2^-3, Y3^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 13, 53, 22, 62, 11, 51)(4, 44, 12, 52, 23, 63, 17, 57)(6, 46, 18, 58, 24, 64, 9, 49)(7, 47, 10, 50, 25, 65, 19, 59)(14, 54, 29, 69, 39, 79, 32, 72)(15, 55, 33, 73, 38, 78, 30, 70)(16, 56, 31, 71, 40, 80, 28, 68)(20, 60, 26, 66, 35, 75, 36, 76)(21, 61, 37, 77, 34, 74, 27, 67)(81, 121, 83, 123, 94, 134, 114, 154, 105, 145, 120, 160, 103, 143, 118, 158, 100, 140, 86, 126)(82, 122, 89, 129, 106, 146, 113, 153, 97, 137, 111, 151, 99, 139, 117, 157, 109, 149, 91, 131)(84, 124, 95, 135, 115, 155, 104, 144, 88, 128, 102, 142, 119, 159, 101, 141, 87, 127, 96, 136)(85, 125, 98, 138, 116, 156, 110, 150, 92, 132, 108, 148, 90, 130, 107, 147, 112, 152, 93, 133)
	L = (1, 84)(2, 90)(3, 95)(4, 94)(5, 99)(6, 96)(7, 81)(8, 103)(9, 107)(10, 106)(11, 108)(12, 82)(13, 111)(14, 115)(15, 114)(16, 83)(17, 85)(18, 117)(19, 116)(20, 87)(21, 86)(22, 118)(23, 119)(24, 120)(25, 88)(26, 112)(27, 113)(28, 89)(29, 92)(30, 91)(31, 98)(32, 97)(33, 93)(34, 104)(35, 105)(36, 109)(37, 110)(38, 101)(39, 100)(40, 102)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8, 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 E19.655
Graph:: bipartite
	v = 14 e = 80 f = 30
	degree seq :: [ 8^10, 20^4 ]

E19.662 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y2^4, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y3^5, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 8, 48)(5, 45, 9, 49)(6, 46, 10, 50)(11, 51, 18, 58)(12, 52, 19, 59)(13, 53, 20, 60)(14, 54, 21, 61)(15, 55, 22, 62)(16, 56, 23, 63)(17, 57, 24, 64)(25, 65, 31, 71)(26, 66, 32, 72)(27, 67, 33, 73)(28, 68, 34, 74)(29, 69, 35, 75)(30, 70, 36, 76)(37, 77, 39, 79)(38, 78, 40, 80)(81, 121, 83, 123, 91, 131, 85, 125)(82, 122, 87, 127, 98, 138, 89, 129)(84, 124, 93, 133, 105, 145, 95, 135)(86, 126, 92, 132, 106, 146, 96, 136)(88, 128, 100, 140, 111, 151, 102, 142)(90, 130, 99, 139, 112, 152, 103, 143)(94, 134, 108, 148, 117, 157, 109, 149)(97, 137, 107, 147, 118, 158, 110, 150)(101, 141, 114, 154, 119, 159, 115, 155)(104, 144, 113, 153, 120, 160, 116, 156)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 96)(6, 81)(7, 99)(8, 101)(9, 103)(10, 82)(11, 105)(12, 107)(13, 83)(14, 97)(15, 85)(16, 110)(17, 86)(18, 111)(19, 113)(20, 87)(21, 104)(22, 89)(23, 116)(24, 90)(25, 117)(26, 91)(27, 108)(28, 93)(29, 95)(30, 109)(31, 119)(32, 98)(33, 114)(34, 100)(35, 102)(36, 115)(37, 118)(38, 106)(39, 120)(40, 112)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.666
Graph:: simple bipartite
	v = 30 e = 80 f = 14
	degree seq :: [ 4^20, 8^10 ]

E19.663 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 5, 45)(4, 44, 7, 47)(6, 46, 8, 48)(9, 49, 13, 53)(10, 50, 12, 52)(11, 51, 15, 55)(14, 54, 16, 56)(17, 57, 21, 61)(18, 58, 20, 60)(19, 59, 23, 63)(22, 62, 24, 64)(25, 65, 29, 69)(26, 66, 28, 68)(27, 67, 31, 71)(30, 70, 32, 72)(33, 73, 37, 77)(34, 74, 36, 76)(35, 75, 38, 78)(39, 79, 40, 80)(81, 121, 83, 123, 82, 122, 85, 125)(84, 124, 90, 130, 87, 127, 92, 132)(86, 126, 89, 129, 88, 128, 93, 133)(91, 131, 98, 138, 95, 135, 100, 140)(94, 134, 97, 137, 96, 136, 101, 141)(99, 139, 106, 146, 103, 143, 108, 148)(102, 142, 105, 145, 104, 144, 109, 149)(107, 147, 114, 154, 111, 151, 116, 156)(110, 150, 113, 153, 112, 152, 117, 157)(115, 155, 119, 159, 118, 158, 120, 160)
	L = (1, 84)(2, 87)(3, 89)(4, 91)(5, 93)(6, 81)(7, 95)(8, 82)(9, 97)(10, 83)(11, 99)(12, 85)(13, 101)(14, 86)(15, 103)(16, 88)(17, 105)(18, 90)(19, 107)(20, 92)(21, 109)(22, 94)(23, 111)(24, 96)(25, 113)(26, 98)(27, 115)(28, 100)(29, 117)(30, 102)(31, 118)(32, 104)(33, 119)(34, 106)(35, 110)(36, 108)(37, 120)(38, 112)(39, 114)(40, 116)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.668
Graph:: bipartite
	v = 30 e = 80 f = 14
	degree seq :: [ 4^20, 8^10 ]

E19.664 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y1)^2, Y2^4, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-2 * Y1, Y1 * Y2 * Y3^5 * Y2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 8, 48)(5, 45, 9, 49)(6, 46, 10, 50)(11, 51, 18, 58)(12, 52, 19, 59)(13, 53, 20, 60)(14, 54, 21, 61)(15, 55, 22, 62)(16, 56, 23, 63)(17, 57, 24, 64)(25, 65, 33, 73)(26, 66, 34, 74)(27, 67, 35, 75)(28, 68, 36, 76)(29, 69, 37, 77)(30, 70, 38, 78)(31, 71, 39, 79)(32, 72, 40, 80)(81, 121, 83, 123, 91, 131, 85, 125)(82, 122, 87, 127, 98, 138, 89, 129)(84, 124, 93, 133, 105, 145, 95, 135)(86, 126, 92, 132, 106, 146, 96, 136)(88, 128, 100, 140, 113, 153, 102, 142)(90, 130, 99, 139, 114, 154, 103, 143)(94, 134, 108, 148, 120, 160, 110, 150)(97, 137, 107, 147, 117, 157, 111, 151)(101, 141, 116, 156, 112, 152, 118, 158)(104, 144, 115, 155, 109, 149, 119, 159)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 96)(6, 81)(7, 99)(8, 101)(9, 103)(10, 82)(11, 105)(12, 107)(13, 83)(14, 109)(15, 85)(16, 111)(17, 86)(18, 113)(19, 115)(20, 87)(21, 117)(22, 89)(23, 119)(24, 90)(25, 120)(26, 91)(27, 118)(28, 93)(29, 114)(30, 95)(31, 116)(32, 97)(33, 112)(34, 98)(35, 110)(36, 100)(37, 106)(38, 102)(39, 108)(40, 104)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.669
Graph:: simple bipartite
	v = 30 e = 80 f = 14
	degree seq :: [ 4^20, 8^10 ]

E19.665 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y2^-1 * Y1 * Y2 * Y1, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-2, Y2^-2 * Y3^-5 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 8, 48)(5, 45, 9, 49)(6, 46, 10, 50)(11, 51, 18, 58)(12, 52, 19, 59)(13, 53, 20, 60)(14, 54, 21, 61)(15, 55, 22, 62)(16, 56, 23, 63)(17, 57, 24, 64)(25, 65, 33, 73)(26, 66, 34, 74)(27, 67, 35, 75)(28, 68, 36, 76)(29, 69, 37, 77)(30, 70, 38, 78)(31, 71, 39, 79)(32, 72, 40, 80)(81, 121, 83, 123, 91, 131, 85, 125)(82, 122, 87, 127, 98, 138, 89, 129)(84, 124, 93, 133, 105, 145, 95, 135)(86, 126, 92, 132, 106, 146, 96, 136)(88, 128, 100, 140, 113, 153, 102, 142)(90, 130, 99, 139, 114, 154, 103, 143)(94, 134, 108, 148, 112, 152, 110, 150)(97, 137, 107, 147, 109, 149, 111, 151)(101, 141, 116, 156, 120, 160, 118, 158)(104, 144, 115, 155, 117, 157, 119, 159)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 96)(6, 81)(7, 99)(8, 101)(9, 103)(10, 82)(11, 105)(12, 107)(13, 83)(14, 109)(15, 85)(16, 111)(17, 86)(18, 113)(19, 115)(20, 87)(21, 117)(22, 89)(23, 119)(24, 90)(25, 112)(26, 91)(27, 110)(28, 93)(29, 106)(30, 95)(31, 108)(32, 97)(33, 120)(34, 98)(35, 118)(36, 100)(37, 114)(38, 102)(39, 116)(40, 104)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.667
Graph:: simple bipartite
	v = 30 e = 80 f = 14
	degree seq :: [ 4^20, 8^10 ]

E19.666 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, (Y3, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y1)^2, Y3^-1 * Y2^2 * Y3^-1, Y1^4, Y2 * Y1 * Y2 * Y1^-1, Y3^2 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 22, 62, 15, 55)(4, 44, 12, 52, 23, 63, 17, 57)(6, 46, 9, 49, 24, 64, 18, 58)(7, 47, 10, 50, 25, 65, 19, 59)(13, 53, 29, 69, 36, 76, 31, 71)(14, 54, 30, 70, 37, 77, 32, 72)(16, 56, 28, 68, 38, 78, 33, 73)(20, 60, 26, 66, 39, 79, 34, 74)(21, 61, 27, 67, 40, 80, 35, 75)(81, 121, 83, 123, 93, 133, 101, 141, 87, 127, 96, 136, 84, 124, 94, 134, 100, 140, 86, 126)(82, 122, 89, 129, 106, 146, 110, 150, 92, 132, 108, 148, 90, 130, 107, 147, 109, 149, 91, 131)(85, 125, 98, 138, 114, 154, 112, 152, 97, 137, 113, 153, 99, 139, 115, 155, 111, 151, 95, 135)(88, 128, 102, 142, 116, 156, 120, 160, 105, 145, 118, 158, 103, 143, 117, 157, 119, 159, 104, 144)
	L = (1, 84)(2, 90)(3, 94)(4, 93)(5, 99)(6, 96)(7, 81)(8, 103)(9, 107)(10, 106)(11, 108)(12, 82)(13, 100)(14, 101)(15, 113)(16, 83)(17, 85)(18, 115)(19, 114)(20, 87)(21, 86)(22, 117)(23, 116)(24, 118)(25, 88)(26, 109)(27, 110)(28, 89)(29, 92)(30, 91)(31, 97)(32, 95)(33, 98)(34, 111)(35, 112)(36, 119)(37, 120)(38, 102)(39, 105)(40, 104)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8, 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 E19.662
Graph:: bipartite
	v = 14 e = 80 f = 30
	degree seq :: [ 8^10, 20^4 ]

E19.667 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2 * Y1^-1, (Y3, Y2^-1), (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^4, (R * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y3)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, Y1^-2 * Y2^-1 * Y1^-2 * Y2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y1 * Y2^-2, Y2^-1 * Y1^2 * Y3^-1 * Y2^-3, Y2^2 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 22, 62, 15, 55)(4, 44, 12, 52, 23, 63, 17, 57)(6, 46, 9, 49, 24, 64, 18, 58)(7, 47, 10, 50, 25, 65, 19, 59)(13, 53, 29, 69, 39, 79, 33, 73)(14, 54, 30, 70, 38, 78, 34, 74)(16, 56, 28, 68, 40, 80, 35, 75)(20, 60, 26, 66, 32, 72, 36, 76)(21, 61, 27, 67, 31, 71, 37, 77)(81, 121, 83, 123, 93, 133, 111, 151, 105, 145, 120, 160, 103, 143, 118, 158, 100, 140, 86, 126)(82, 122, 89, 129, 106, 146, 114, 154, 97, 137, 115, 155, 99, 139, 117, 157, 109, 149, 91, 131)(84, 124, 94, 134, 112, 152, 104, 144, 88, 128, 102, 142, 119, 159, 101, 141, 87, 127, 96, 136)(85, 125, 98, 138, 116, 156, 110, 150, 92, 132, 108, 148, 90, 130, 107, 147, 113, 153, 95, 135)
	L = (1, 84)(2, 90)(3, 94)(4, 93)(5, 99)(6, 96)(7, 81)(8, 103)(9, 107)(10, 106)(11, 108)(12, 82)(13, 112)(14, 111)(15, 115)(16, 83)(17, 85)(18, 117)(19, 116)(20, 87)(21, 86)(22, 118)(23, 119)(24, 120)(25, 88)(26, 113)(27, 114)(28, 89)(29, 92)(30, 91)(31, 104)(32, 105)(33, 97)(34, 95)(35, 98)(36, 109)(37, 110)(38, 101)(39, 100)(40, 102)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8, 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 E19.665
Graph:: bipartite
	v = 14 e = 80 f = 30
	degree seq :: [ 8^10, 20^4 ]

E19.668 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-2, Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1^2, (Y3, Y2^-1), Y2^-1 * Y3 * Y1^-2, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^10, Y3^4 * Y2 * Y1 * Y2^-5 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 4, 44, 12, 52)(6, 46, 9, 49, 7, 47, 10, 50)(13, 53, 19, 59, 14, 54, 20, 60)(15, 55, 17, 57, 16, 56, 18, 58)(21, 61, 27, 67, 22, 62, 28, 68)(23, 63, 25, 65, 24, 64, 26, 66)(29, 69, 35, 75, 30, 70, 36, 76)(31, 71, 33, 73, 32, 72, 34, 74)(37, 77, 39, 79, 38, 78, 40, 80)(81, 121, 83, 123, 93, 133, 101, 141, 109, 149, 117, 157, 111, 151, 103, 143, 95, 135, 86, 126)(82, 122, 89, 129, 97, 137, 105, 145, 113, 153, 119, 159, 115, 155, 107, 147, 99, 139, 91, 131)(84, 124, 94, 134, 102, 142, 110, 150, 118, 158, 112, 152, 104, 144, 96, 136, 87, 127, 88, 128)(85, 125, 90, 130, 98, 138, 106, 146, 114, 154, 120, 160, 116, 156, 108, 148, 100, 140, 92, 132)
	L = (1, 84)(2, 90)(3, 94)(4, 93)(5, 89)(6, 88)(7, 81)(8, 83)(9, 98)(10, 97)(11, 85)(12, 82)(13, 102)(14, 101)(15, 87)(16, 86)(17, 106)(18, 105)(19, 92)(20, 91)(21, 110)(22, 109)(23, 96)(24, 95)(25, 114)(26, 113)(27, 100)(28, 99)(29, 118)(30, 117)(31, 104)(32, 103)(33, 120)(34, 119)(35, 108)(36, 107)(37, 112)(38, 111)(39, 116)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8, 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 E19.663
Graph:: bipartite
	v = 14 e = 80 f = 30
	degree seq :: [ 8^10, 20^4 ]

E19.669 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-2, (Y3, Y2^-1), Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y2^-1)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y1^4, Y1^-2 * Y2 * Y1^-2 * Y2^-1, Y2^-2 * Y1^2 * Y2^-3, Y2 * Y1^2 * Y3^2 * Y2^2, Y3^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 22, 62, 15, 55)(4, 44, 12, 52, 23, 63, 17, 57)(6, 46, 9, 49, 24, 64, 18, 58)(7, 47, 10, 50, 25, 65, 19, 59)(13, 53, 29, 69, 38, 78, 33, 73)(14, 54, 30, 70, 39, 79, 34, 74)(16, 56, 28, 68, 40, 80, 35, 75)(20, 60, 26, 66, 31, 71, 36, 76)(21, 61, 27, 67, 32, 72, 37, 77)(81, 121, 83, 123, 93, 133, 111, 151, 104, 144, 88, 128, 102, 142, 118, 158, 100, 140, 86, 126)(82, 122, 89, 129, 106, 146, 113, 153, 95, 135, 85, 125, 98, 138, 116, 156, 109, 149, 91, 131)(84, 124, 94, 134, 112, 152, 105, 145, 120, 160, 103, 143, 119, 159, 101, 141, 87, 127, 96, 136)(90, 130, 107, 147, 114, 154, 97, 137, 115, 155, 99, 139, 117, 157, 110, 150, 92, 132, 108, 148)
	L = (1, 84)(2, 90)(3, 94)(4, 93)(5, 99)(6, 96)(7, 81)(8, 103)(9, 107)(10, 106)(11, 108)(12, 82)(13, 112)(14, 111)(15, 115)(16, 83)(17, 85)(18, 117)(19, 116)(20, 87)(21, 86)(22, 119)(23, 118)(24, 120)(25, 88)(26, 114)(27, 113)(28, 89)(29, 92)(30, 91)(31, 105)(32, 104)(33, 97)(34, 95)(35, 98)(36, 110)(37, 109)(38, 101)(39, 100)(40, 102)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8, 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 E19.664
Graph:: bipartite
	v = 14 e = 80 f = 30
	degree seq :: [ 8^10, 20^4 ]

E19.670 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 10})
Quotient :: edge^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = C2 x C2 x (C5 : C4) (small group id <80, 50>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2 * Y3^-1 * Y1, (Y2 * Y1^-1)^2, Y1^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2^4, Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-2 * Y3^-1 * Y2 * Y3 * Y1^-1, (Y3 * Y1^-2)^2, Y2^-1 * Y3^2 * Y1^-1 * Y3^-2, Y3^-3 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y3^4 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y3^-1 * Y1^-1 * Y2 * Y3 * Y2^-2, Y2 * Y3^2 * Y2^-2 * Y1^-1, Y3^-2 * Y1^2 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 19, 59, 33, 73, 9, 49, 32, 72, 24, 64, 35, 75, 13, 53, 7, 47)(2, 42, 10, 50, 6, 46, 23, 63, 26, 66, 25, 65, 37, 77, 17, 57, 30, 70, 12, 52)(3, 43, 15, 55, 31, 71, 18, 58, 39, 79, 22, 62, 5, 45, 21, 61, 28, 68, 16, 56)(8, 48, 27, 67, 11, 51, 36, 76, 20, 60, 38, 78, 14, 54, 34, 74, 40, 80, 29, 69)(81, 82, 88, 85)(83, 93, 117, 91)(84, 97, 109, 96)(86, 100, 119, 104)(87, 103, 107, 98)(89, 110, 94, 108)(90, 114, 102, 113)(92, 116, 101, 115)(95, 112, 105, 118)(99, 106, 120, 111)(121, 123, 134, 126)(122, 129, 151, 131)(124, 138, 158, 132)(125, 140, 157, 139)(127, 141, 154, 145)(128, 146, 144, 148)(130, 155, 135, 149)(133, 159, 160, 150)(136, 156, 143, 153)(137, 152, 142, 147)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E19.673
Graph:: simple bipartite
	v = 24 e = 80 f = 20
	degree seq :: [ 4^20, 20^4 ]

E19.671 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 10})
Quotient :: edge^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = C2 x C2 x (C5 : C4) (small group id <80, 50>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1^-1 * Y2)^2, R * Y2 * R * Y1, Y2^4, (R * Y3)^2, Y1^4, Y3 * Y2 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, (Y3 * Y2^-1 * Y1)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1, (Y3 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 41, 4, 44)(2, 42, 9, 49)(3, 43, 13, 53)(5, 45, 14, 54)(6, 46, 15, 55)(7, 47, 20, 60)(8, 48, 24, 64)(10, 50, 25, 65)(11, 51, 28, 68)(12, 52, 29, 69)(16, 56, 30, 70)(17, 57, 31, 71)(18, 58, 32, 72)(19, 59, 34, 74)(21, 61, 35, 75)(22, 62, 36, 76)(23, 63, 37, 77)(26, 66, 38, 78)(27, 67, 39, 79)(33, 73, 40, 80)(81, 82, 87, 85)(83, 91, 106, 90)(84, 89, 100, 94)(86, 96, 107, 98)(88, 102, 92, 101)(93, 108, 118, 105)(95, 110, 119, 112)(97, 99, 113, 103)(104, 116, 109, 115)(111, 114, 120, 117)(121, 123, 132, 126)(122, 128, 143, 130)(124, 133, 149, 135)(125, 136, 146, 137)(127, 139, 138, 141)(129, 144, 157, 145)(131, 147, 153, 142)(134, 150, 158, 151)(140, 154, 152, 155)(148, 159, 160, 156)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E19.672
Graph:: simple bipartite
	v = 40 e = 80 f = 4
	degree seq :: [ 4^40 ]

E19.672 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 10})
Quotient :: loop^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = C2 x C2 x (C5 : C4) (small group id <80, 50>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2 * Y3^-1 * Y1, (Y2 * Y1^-1)^2, Y1^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2^4, Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-2 * Y3^-1 * Y2 * Y3 * Y1^-1, (Y3 * Y1^-2)^2, Y2^-1 * Y3^2 * Y1^-1 * Y3^-2, Y3^-3 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y3^4 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y3^-1 * Y1^-1 * Y2 * Y3 * Y2^-2, Y2 * Y3^2 * Y2^-2 * Y1^-1, Y3^-2 * Y1^2 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 19, 59, 99, 139, 33, 73, 113, 153, 9, 49, 89, 129, 32, 72, 112, 152, 24, 64, 104, 144, 35, 75, 115, 155, 13, 53, 93, 133, 7, 47, 87, 127)(2, 42, 82, 122, 10, 50, 90, 130, 6, 46, 86, 126, 23, 63, 103, 143, 26, 66, 106, 146, 25, 65, 105, 145, 37, 77, 117, 157, 17, 57, 97, 137, 30, 70, 110, 150, 12, 52, 92, 132)(3, 43, 83, 123, 15, 55, 95, 135, 31, 71, 111, 151, 18, 58, 98, 138, 39, 79, 119, 159, 22, 62, 102, 142, 5, 45, 85, 125, 21, 61, 101, 141, 28, 68, 108, 148, 16, 56, 96, 136)(8, 48, 88, 128, 27, 67, 107, 147, 11, 51, 91, 131, 36, 76, 116, 156, 20, 60, 100, 140, 38, 78, 118, 158, 14, 54, 94, 134, 34, 74, 114, 154, 40, 80, 120, 160, 29, 69, 109, 149)
	L = (1, 42)(2, 48)(3, 53)(4, 57)(5, 41)(6, 60)(7, 63)(8, 45)(9, 70)(10, 74)(11, 43)(12, 76)(13, 77)(14, 68)(15, 72)(16, 44)(17, 69)(18, 47)(19, 66)(20, 79)(21, 75)(22, 73)(23, 67)(24, 46)(25, 78)(26, 80)(27, 58)(28, 49)(29, 56)(30, 54)(31, 59)(32, 65)(33, 50)(34, 62)(35, 52)(36, 61)(37, 51)(38, 55)(39, 64)(40, 71)(81, 123)(82, 129)(83, 134)(84, 138)(85, 140)(86, 121)(87, 141)(88, 146)(89, 151)(90, 155)(91, 122)(92, 124)(93, 159)(94, 126)(95, 149)(96, 156)(97, 152)(98, 158)(99, 125)(100, 157)(101, 154)(102, 147)(103, 153)(104, 148)(105, 127)(106, 144)(107, 137)(108, 128)(109, 130)(110, 133)(111, 131)(112, 142)(113, 136)(114, 145)(115, 135)(116, 143)(117, 139)(118, 132)(119, 160)(120, 150)
	local type(s) :: { ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E19.671
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 80 f = 40
	degree seq :: [ 40^4 ]

E19.673 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 10})
Quotient :: loop^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = C2 x C2 x (C5 : C4) (small group id <80, 50>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1^-1 * Y2)^2, R * Y2 * R * Y1, Y2^4, (R * Y3)^2, Y1^4, Y3 * Y2 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, (Y3 * Y2^-1 * Y1)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1, (Y3 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 9, 49, 89, 129)(3, 43, 83, 123, 13, 53, 93, 133)(5, 45, 85, 125, 14, 54, 94, 134)(6, 46, 86, 126, 15, 55, 95, 135)(7, 47, 87, 127, 20, 60, 100, 140)(8, 48, 88, 128, 24, 64, 104, 144)(10, 50, 90, 130, 25, 65, 105, 145)(11, 51, 91, 131, 28, 68, 108, 148)(12, 52, 92, 132, 29, 69, 109, 149)(16, 56, 96, 136, 30, 70, 110, 150)(17, 57, 97, 137, 31, 71, 111, 151)(18, 58, 98, 138, 32, 72, 112, 152)(19, 59, 99, 139, 34, 74, 114, 154)(21, 61, 101, 141, 35, 75, 115, 155)(22, 62, 102, 142, 36, 76, 116, 156)(23, 63, 103, 143, 37, 77, 117, 157)(26, 66, 106, 146, 38, 78, 118, 158)(27, 67, 107, 147, 39, 79, 119, 159)(33, 73, 113, 153, 40, 80, 120, 160)
	L = (1, 42)(2, 47)(3, 51)(4, 49)(5, 41)(6, 56)(7, 45)(8, 62)(9, 60)(10, 43)(11, 66)(12, 61)(13, 68)(14, 44)(15, 70)(16, 67)(17, 59)(18, 46)(19, 73)(20, 54)(21, 48)(22, 52)(23, 57)(24, 76)(25, 53)(26, 50)(27, 58)(28, 78)(29, 75)(30, 79)(31, 74)(32, 55)(33, 63)(34, 80)(35, 64)(36, 69)(37, 71)(38, 65)(39, 72)(40, 77)(81, 123)(82, 128)(83, 132)(84, 133)(85, 136)(86, 121)(87, 139)(88, 143)(89, 144)(90, 122)(91, 147)(92, 126)(93, 149)(94, 150)(95, 124)(96, 146)(97, 125)(98, 141)(99, 138)(100, 154)(101, 127)(102, 131)(103, 130)(104, 157)(105, 129)(106, 137)(107, 153)(108, 159)(109, 135)(110, 158)(111, 134)(112, 155)(113, 142)(114, 152)(115, 140)(116, 148)(117, 145)(118, 151)(119, 160)(120, 156)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.670
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 24
	degree seq :: [ 8^20 ]

E19.674 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: halfedge^2
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y3 * R * Y2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, (Y2 * Y1^-1 * Y2 * Y1)^2, (Y1^-4 * Y2 * Y1^-1)^2, Y1^20 ]
Map::
	R = (1, 42, 2, 45, 5, 51, 11, 60, 20, 69, 29, 77, 37, 73, 33, 65, 25, 56, 16, 64, 24, 55, 15, 63, 23, 72, 32, 80, 40, 76, 36, 68, 28, 59, 19, 50, 10, 44, 4, 41)(3, 47, 7, 52, 12, 62, 22, 70, 30, 79, 39, 75, 35, 67, 27, 58, 18, 49, 9, 54, 14, 46, 6, 53, 13, 61, 21, 71, 31, 78, 38, 74, 34, 66, 26, 57, 17, 48, 8, 43)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 25)(19, 27)(20, 30)(22, 32)(26, 33)(28, 34)(29, 38)(31, 40)(35, 37)(36, 39)(41, 43)(42, 46)(44, 49)(45, 52)(47, 55)(48, 56)(50, 57)(51, 61)(53, 63)(54, 64)(58, 65)(59, 67)(60, 70)(62, 72)(66, 73)(68, 74)(69, 78)(71, 80)(75, 77)(76, 79)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.675 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: halfedge^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y3 * R * Y2, (Y2 * Y1^-2)^2, (Y2 * Y1^-1)^4, Y1^-2 * Y2 * Y1 * Y2 * Y1^-7 ]
Map::
	R = (1, 42, 2, 45, 5, 51, 11, 60, 20, 69, 29, 77, 37, 74, 34, 66, 26, 56, 16, 63, 23, 57, 17, 64, 24, 72, 32, 80, 40, 76, 36, 68, 28, 59, 19, 50, 10, 44, 4, 41)(3, 47, 7, 55, 15, 65, 25, 73, 33, 78, 38, 71, 31, 61, 21, 54, 14, 46, 6, 53, 13, 49, 9, 58, 18, 67, 27, 75, 35, 79, 39, 70, 30, 62, 22, 52, 12, 48, 8, 43)
	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, 37)(36, 39)(41, 43)(42, 46)(44, 49)(45, 52)(47, 56)(48, 57)(50, 55)(51, 61)(53, 63)(54, 64)(58, 66)(59, 67)(60, 70)(62, 72)(65, 74)(68, 73)(69, 78)(71, 80)(75, 77)(76, 79)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.676 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: halfedge^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y2, Y1^3 * Y3 * Y2 * Y1, Y1 * Y3 * Y1^-2 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 58, 18, 50, 10, 62, 22, 75, 35, 73, 33, 80, 40, 67, 27, 77, 37, 70, 30, 79, 39, 68, 28, 78, 38, 71, 31, 53, 13, 65, 25, 57, 17, 45, 5, 41)(3, 49, 9, 60, 20, 54, 14, 44, 4, 52, 12, 72, 32, 74, 34, 63, 23, 47, 7, 61, 21, 55, 15, 66, 26, 48, 8, 64, 24, 56, 16, 69, 29, 76, 36, 59, 19, 51, 11, 43)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 29)(11, 30)(12, 22)(14, 33)(16, 31)(17, 20)(18, 34)(21, 37)(23, 39)(24, 35)(26, 40)(28, 36)(32, 38)(41, 44)(42, 48)(43, 50)(45, 56)(46, 60)(47, 62)(49, 68)(51, 71)(52, 67)(53, 63)(54, 70)(55, 58)(57, 72)(59, 75)(61, 78)(64, 77)(65, 76)(66, 79)(69, 80)(73, 74)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.677 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: halfedge^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = (C4 x D10) : C2 (small group id <80, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y1^-1 * Y3 * Y1^-1 * Y2, (R * Y1)^2, (Y3 * Y2)^2, Y1^-1 * Y3 * Y2 * Y1 * Y2 * Y3, Y1^-1 * Y3 * Y1^3 * Y3 * Y1^-6 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 53, 13, 61, 21, 69, 29, 77, 37, 74, 34, 66, 26, 58, 18, 50, 10, 56, 16, 64, 24, 72, 32, 80, 40, 76, 36, 68, 28, 60, 20, 52, 12, 45, 5, 41)(3, 49, 9, 57, 17, 65, 25, 73, 33, 78, 38, 71, 31, 62, 22, 55, 15, 47, 7, 44, 4, 51, 11, 59, 19, 67, 27, 75, 35, 79, 39, 70, 30, 63, 23, 54, 14, 48, 8, 43)
	L = (1, 3)(2, 7)(4, 10)(5, 11)(6, 14)(8, 16)(9, 18)(12, 17)(13, 22)(15, 24)(19, 26)(20, 27)(21, 30)(23, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 37)(36, 39)(41, 44)(42, 48)(43, 50)(45, 49)(46, 55)(47, 56)(51, 58)(52, 59)(53, 63)(54, 64)(57, 66)(60, 65)(61, 71)(62, 72)(67, 74)(68, 75)(69, 79)(70, 80)(73, 77)(76, 78)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.678 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: halfedge^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = (C4 x D10) : C2 (small group id <80, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-3 * Y2 * Y1 * Y3, Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1^2 * Y3 * Y1, Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 58, 18, 74, 34, 71, 31, 53, 13, 65, 25, 78, 38, 67, 27, 79, 39, 70, 30, 80, 40, 69, 29, 50, 10, 62, 22, 76, 36, 73, 33, 57, 17, 45, 5, 41)(3, 49, 9, 66, 26, 48, 8, 64, 24, 56, 16, 68, 28, 75, 35, 63, 23, 47, 7, 61, 21, 55, 15, 60, 20, 54, 14, 44, 4, 52, 12, 72, 32, 77, 37, 59, 19, 51, 11, 43)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 28)(11, 30)(12, 22)(14, 33)(16, 31)(17, 26)(18, 35)(20, 38)(21, 39)(23, 40)(24, 36)(29, 37)(32, 34)(41, 44)(42, 48)(43, 50)(45, 56)(46, 60)(47, 62)(49, 58)(51, 71)(52, 67)(53, 63)(54, 70)(55, 69)(57, 72)(59, 76)(61, 74)(64, 79)(65, 77)(66, 80)(68, 78)(73, 75)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.679 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: edge^2
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, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-2 * Y1 * Y3^2 * Y1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, (Y3 * Y1 * Y3^-1 * Y1)^2, Y3^5 * Y1 * Y3^3 * Y1 * Y3^2 ]
Map::
	R = (1, 41, 3, 43, 8, 48, 17, 57, 26, 66, 34, 74, 39, 79, 31, 71, 23, 63, 13, 53, 21, 61, 11, 51, 20, 60, 29, 69, 37, 77, 36, 76, 28, 68, 19, 59, 10, 50, 4, 44)(2, 42, 5, 45, 12, 52, 22, 62, 30, 70, 38, 78, 35, 75, 27, 67, 18, 58, 9, 49, 16, 56, 7, 47, 15, 55, 25, 65, 33, 73, 40, 80, 32, 72, 24, 64, 14, 54, 6, 46)(81, 82)(83, 87)(84, 89)(85, 91)(86, 93)(88, 92)(90, 94)(95, 100)(96, 101)(97, 105)(98, 103)(99, 107)(102, 109)(104, 111)(106, 110)(108, 112)(113, 117)(114, 120)(115, 119)(116, 118)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 132)(130, 134)(135, 140)(136, 141)(137, 145)(138, 143)(139, 147)(142, 149)(144, 151)(146, 150)(148, 152)(153, 157)(154, 160)(155, 159)(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 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.687
Graph:: simple bipartite
	v = 42 e = 80 f = 2
	degree seq :: [ 2^40, 40^2 ]

E19.680 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: edge^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y3^-2 * Y2 * Y3^-2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^7 * Y2 * Y3^-3 * Y1 ]
Map::
	R = (1, 41, 3, 43, 8, 48, 17, 57, 26, 66, 34, 74, 37, 77, 29, 69, 21, 61, 11, 51, 20, 60, 13, 53, 23, 63, 31, 71, 39, 79, 36, 76, 28, 68, 19, 59, 10, 50, 4, 44)(2, 42, 5, 45, 12, 52, 22, 62, 30, 70, 38, 78, 33, 73, 25, 65, 16, 56, 7, 47, 15, 55, 9, 49, 18, 58, 27, 67, 35, 75, 40, 80, 32, 72, 24, 64, 14, 54, 6, 46)(81, 82)(83, 87)(84, 89)(85, 91)(86, 93)(88, 94)(90, 92)(95, 100)(96, 103)(97, 105)(98, 101)(99, 107)(102, 109)(104, 111)(106, 112)(108, 110)(113, 119)(114, 118)(115, 117)(116, 120)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 134)(130, 132)(135, 140)(136, 143)(137, 145)(138, 141)(139, 147)(142, 149)(144, 151)(146, 152)(148, 150)(153, 159)(154, 158)(155, 157)(156, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 80, 80 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.688
Graph:: simple bipartite
	v = 42 e = 80 f = 2
	degree seq :: [ 2^40, 40^2 ]

E19.681 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: edge^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-3 * Y2 * Y1 * Y3^-1, (Y3^2 * Y2)^2, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2, Y3 * Y1 * Y3^-2 * Y2 * Y3, Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 41, 4, 44, 14, 54, 28, 68, 9, 49, 22, 62, 40, 80, 25, 65, 39, 79, 21, 61, 38, 78, 24, 64, 34, 74, 29, 69, 37, 77, 20, 60, 6, 46, 19, 59, 17, 57, 5, 45)(2, 42, 7, 47, 23, 63, 35, 75, 18, 58, 13, 53, 33, 73, 16, 56, 32, 72, 12, 52, 31, 71, 15, 55, 27, 67, 36, 76, 30, 70, 11, 51, 3, 43, 10, 50, 26, 66, 8, 48)(81, 82)(83, 89)(84, 92)(85, 95)(86, 98)(87, 101)(88, 104)(90, 109)(91, 100)(93, 102)(94, 106)(96, 108)(97, 103)(99, 116)(105, 115)(107, 119)(110, 120)(111, 118)(112, 114)(113, 117)(121, 123)(122, 126)(124, 133)(125, 136)(127, 142)(128, 145)(129, 147)(130, 141)(131, 144)(132, 139)(134, 150)(135, 140)(137, 146)(138, 154)(143, 157)(148, 155)(149, 156)(151, 160)(152, 159)(153, 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 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.689
Graph:: simple bipartite
	v = 42 e = 80 f = 2
	degree seq :: [ 2^40, 40^2 ]

E19.682 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: edge^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = (C4 x D10) : C2 (small group id <80, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y2, Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y2, Y3^-1 * Y1 * Y3^9 * Y1 ]
Map::
	R = (1, 41, 4, 44, 11, 51, 19, 59, 27, 67, 35, 75, 38, 78, 30, 70, 22, 62, 14, 54, 6, 46, 13, 53, 21, 61, 29, 69, 37, 77, 36, 76, 28, 68, 20, 60, 12, 52, 5, 45)(2, 42, 7, 47, 15, 55, 23, 63, 31, 71, 39, 79, 34, 74, 26, 66, 18, 58, 10, 50, 3, 43, 9, 49, 17, 57, 25, 65, 33, 73, 40, 80, 32, 72, 24, 64, 16, 56, 8, 48)(81, 82)(83, 86)(84, 90)(85, 89)(87, 94)(88, 93)(91, 96)(92, 95)(97, 102)(98, 101)(99, 106)(100, 105)(103, 110)(104, 109)(107, 112)(108, 111)(113, 118)(114, 117)(115, 119)(116, 120)(121, 123)(122, 126)(124, 128)(125, 127)(129, 134)(130, 133)(131, 138)(132, 137)(135, 142)(136, 141)(139, 144)(140, 143)(145, 150)(146, 149)(147, 154)(148, 153)(151, 158)(152, 157)(155, 160)(156, 159)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 80, 80 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.690
Graph:: simple bipartite
	v = 42 e = 80 f = 2
	degree seq :: [ 2^40, 40^2 ]

E19.683 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: edge^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = (C4 x D10) : C2 (small group id <80, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2, Y3^-2 * Y2 * Y3 * Y1 * Y3^-1, Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2, Y2 * Y3 * Y1 * Y3^17 ]
Map::
	R = (1, 41, 4, 44, 14, 54, 29, 69, 38, 78, 20, 60, 6, 46, 19, 59, 37, 77, 21, 61, 39, 79, 24, 64, 34, 74, 28, 68, 9, 49, 22, 62, 40, 80, 25, 65, 17, 57, 5, 45)(2, 42, 7, 47, 23, 63, 36, 76, 31, 71, 11, 51, 3, 43, 10, 50, 30, 70, 12, 52, 32, 72, 15, 55, 27, 67, 35, 75, 18, 58, 13, 53, 33, 73, 16, 56, 26, 66, 8, 48)(81, 82)(83, 89)(84, 92)(85, 95)(86, 98)(87, 101)(88, 104)(90, 109)(91, 100)(93, 102)(94, 106)(96, 108)(97, 103)(99, 116)(105, 115)(107, 117)(110, 114)(111, 120)(112, 119)(113, 118)(121, 123)(122, 126)(124, 133)(125, 136)(127, 142)(128, 145)(129, 147)(130, 141)(131, 144)(132, 139)(134, 151)(135, 140)(137, 150)(138, 154)(143, 158)(146, 157)(148, 156)(149, 155)(152, 160)(153, 159)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 80, 80 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.691
Graph:: simple bipartite
	v = 42 e = 80 f = 2
	degree seq :: [ 2^40, 40^2 ]

E19.684 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: edge^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = C2 x C4 x D10 (small group id <80, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y1^2 * Y3 * Y2^-1, (Y3 * Y1 * Y2^-1)^2, (Y3 * Y1^-1 * Y3 * Y2)^2, Y2^4 * Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-3, Y2 * Y3 * Y1^3 * Y3 * Y1^-6, Y3 * Y1^3 * Y3 * Y1^13, Y2^20 ]
Map:: non-degenerate
	R = (1, 41, 4, 44)(2, 42, 6, 46)(3, 43, 8, 48)(5, 45, 12, 52)(7, 47, 16, 56)(9, 49, 18, 58)(10, 50, 19, 59)(11, 51, 21, 61)(13, 53, 23, 63)(14, 54, 24, 64)(15, 55, 26, 66)(17, 57, 28, 68)(20, 60, 30, 70)(22, 62, 32, 72)(25, 65, 34, 74)(27, 67, 36, 76)(29, 69, 38, 78)(31, 71, 40, 80)(33, 73, 39, 79)(35, 75, 37, 77)(81, 82, 85, 91, 100, 109, 117, 116, 108, 98, 103, 99, 104, 112, 120, 113, 105, 95, 87, 83)(84, 89, 96, 107, 114, 118, 111, 101, 94, 86, 93, 88, 97, 106, 115, 119, 110, 102, 92, 90)(121, 123, 127, 135, 145, 153, 160, 152, 144, 139, 143, 138, 148, 156, 157, 149, 140, 131, 125, 122)(124, 130, 132, 142, 150, 159, 155, 146, 137, 128, 133, 126, 134, 141, 151, 158, 154, 147, 136, 129)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E19.692
Graph:: simple bipartite
	v = 24 e = 80 f = 20
	degree seq :: [ 4^20, 20^4 ]

E19.685 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: edge^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, (Y1, Y2^-1), (R * Y3)^2, R * Y2 * R * Y1, Y2^-1 * Y3 * Y1 * Y3, Y1^-5 * Y2^5, Y1^20, Y2^20 ]
Map:: polytopal non-degenerate
	R = (1, 41, 4, 44)(2, 42, 9, 49)(3, 43, 12, 52)(5, 45, 15, 55)(6, 46, 14, 54)(7, 47, 17, 57)(8, 48, 19, 59)(10, 50, 20, 60)(11, 51, 22, 62)(13, 53, 24, 64)(16, 56, 26, 66)(18, 58, 28, 68)(21, 61, 30, 70)(23, 63, 32, 72)(25, 65, 34, 74)(27, 67, 36, 76)(29, 69, 37, 77)(31, 71, 38, 78)(33, 73, 39, 79)(35, 75, 40, 80)(81, 82, 87, 96, 105, 113, 111, 101, 93, 83, 88, 86, 90, 98, 107, 115, 109, 103, 91, 85)(84, 92, 102, 110, 117, 119, 116, 106, 100, 89, 99, 95, 104, 112, 118, 120, 114, 108, 97, 94)(121, 123, 131, 141, 149, 153, 147, 136, 130, 122, 128, 125, 133, 143, 151, 155, 145, 138, 127, 126)(124, 129, 137, 146, 154, 159, 158, 150, 144, 132, 139, 134, 140, 148, 156, 160, 157, 152, 142, 135)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E19.693
Graph:: simple bipartite
	v = 24 e = 80 f = 20
	degree seq :: [ 4^20, 20^4 ]

E19.686 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: edge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, (Y2^-1, Y1), R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^2, (Y3 * Y1 * Y2^-1)^2, Y1^-2 * Y2^2 * Y1^-1 * Y2 * Y1^-4, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^3 * Y1^-1 * Y2, Y1^-2 * Y2^18 ]
Map:: polytopal non-degenerate
	R = (1, 41, 4, 44)(2, 42, 9, 49)(3, 43, 12, 52)(5, 45, 14, 54)(6, 46, 15, 55)(7, 47, 17, 57)(8, 48, 19, 59)(10, 50, 20, 60)(11, 51, 22, 62)(13, 53, 24, 64)(16, 56, 26, 66)(18, 58, 28, 68)(21, 61, 30, 70)(23, 63, 32, 72)(25, 65, 34, 74)(27, 67, 36, 76)(29, 69, 37, 77)(31, 71, 38, 78)(33, 73, 39, 79)(35, 75, 40, 80)(81, 82, 87, 96, 105, 113, 111, 101, 93, 83, 88, 86, 90, 98, 107, 115, 109, 103, 91, 85)(84, 94, 102, 112, 117, 120, 116, 108, 100, 95, 99, 92, 104, 110, 118, 119, 114, 106, 97, 89)(121, 123, 131, 141, 149, 153, 147, 136, 130, 122, 128, 125, 133, 143, 151, 155, 145, 138, 127, 126)(124, 135, 137, 148, 154, 160, 158, 152, 144, 134, 139, 129, 140, 146, 156, 159, 157, 150, 142, 132)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E19.694
Graph:: simple bipartite
	v = 24 e = 80 f = 20
	degree seq :: [ 4^20, 20^4 ]

E19.687 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 20, 20})
Quotient :: loop^2
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, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-2 * Y1 * Y3^2 * Y1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, (Y3 * Y1 * Y3^-1 * Y1)^2, Y3^5 * Y1 * Y3^3 * Y1 * Y3^2 ]
Map::
	R = (1, 41, 81, 121, 3, 43, 83, 123, 8, 48, 88, 128, 17, 57, 97, 137, 26, 66, 106, 146, 34, 74, 114, 154, 39, 79, 119, 159, 31, 71, 111, 151, 23, 63, 103, 143, 13, 53, 93, 133, 21, 61, 101, 141, 11, 51, 91, 131, 20, 60, 100, 140, 29, 69, 109, 149, 37, 77, 117, 157, 36, 76, 116, 156, 28, 68, 108, 148, 19, 59, 99, 139, 10, 50, 90, 130, 4, 44, 84, 124)(2, 42, 82, 122, 5, 45, 85, 125, 12, 52, 92, 132, 22, 62, 102, 142, 30, 70, 110, 150, 38, 78, 118, 158, 35, 75, 115, 155, 27, 67, 107, 147, 18, 58, 98, 138, 9, 49, 89, 129, 16, 56, 96, 136, 7, 47, 87, 127, 15, 55, 95, 135, 25, 65, 105, 145, 33, 73, 113, 153, 40, 80, 120, 160, 32, 72, 112, 152, 24, 64, 104, 144, 14, 54, 94, 134, 6, 46, 86, 126)
	L = (1, 42)(2, 41)(3, 47)(4, 49)(5, 51)(6, 53)(7, 43)(8, 52)(9, 44)(10, 54)(11, 45)(12, 48)(13, 46)(14, 50)(15, 60)(16, 61)(17, 65)(18, 63)(19, 67)(20, 55)(21, 56)(22, 69)(23, 58)(24, 71)(25, 57)(26, 70)(27, 59)(28, 72)(29, 62)(30, 66)(31, 64)(32, 68)(33, 77)(34, 80)(35, 79)(36, 78)(37, 73)(38, 76)(39, 75)(40, 74)(81, 122)(82, 121)(83, 127)(84, 129)(85, 131)(86, 133)(87, 123)(88, 132)(89, 124)(90, 134)(91, 125)(92, 128)(93, 126)(94, 130)(95, 140)(96, 141)(97, 145)(98, 143)(99, 147)(100, 135)(101, 136)(102, 149)(103, 138)(104, 151)(105, 137)(106, 150)(107, 139)(108, 152)(109, 142)(110, 146)(111, 144)(112, 148)(113, 157)(114, 160)(115, 159)(116, 158)(117, 153)(118, 156)(119, 155)(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, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E19.679
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 80 f = 42
	degree seq :: [ 80^2 ]

E19.688 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 20, 20})
Quotient :: loop^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y3^-2 * Y2 * Y3^-2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^7 * Y2 * Y3^-3 * Y1 ]
Map::
	R = (1, 41, 81, 121, 3, 43, 83, 123, 8, 48, 88, 128, 17, 57, 97, 137, 26, 66, 106, 146, 34, 74, 114, 154, 37, 77, 117, 157, 29, 69, 109, 149, 21, 61, 101, 141, 11, 51, 91, 131, 20, 60, 100, 140, 13, 53, 93, 133, 23, 63, 103, 143, 31, 71, 111, 151, 39, 79, 119, 159, 36, 76, 116, 156, 28, 68, 108, 148, 19, 59, 99, 139, 10, 50, 90, 130, 4, 44, 84, 124)(2, 42, 82, 122, 5, 45, 85, 125, 12, 52, 92, 132, 22, 62, 102, 142, 30, 70, 110, 150, 38, 78, 118, 158, 33, 73, 113, 153, 25, 65, 105, 145, 16, 56, 96, 136, 7, 47, 87, 127, 15, 55, 95, 135, 9, 49, 89, 129, 18, 58, 98, 138, 27, 67, 107, 147, 35, 75, 115, 155, 40, 80, 120, 160, 32, 72, 112, 152, 24, 64, 104, 144, 14, 54, 94, 134, 6, 46, 86, 126)
	L = (1, 42)(2, 41)(3, 47)(4, 49)(5, 51)(6, 53)(7, 43)(8, 54)(9, 44)(10, 52)(11, 45)(12, 50)(13, 46)(14, 48)(15, 60)(16, 63)(17, 65)(18, 61)(19, 67)(20, 55)(21, 58)(22, 69)(23, 56)(24, 71)(25, 57)(26, 72)(27, 59)(28, 70)(29, 62)(30, 68)(31, 64)(32, 66)(33, 79)(34, 78)(35, 77)(36, 80)(37, 75)(38, 74)(39, 73)(40, 76)(81, 122)(82, 121)(83, 127)(84, 129)(85, 131)(86, 133)(87, 123)(88, 134)(89, 124)(90, 132)(91, 125)(92, 130)(93, 126)(94, 128)(95, 140)(96, 143)(97, 145)(98, 141)(99, 147)(100, 135)(101, 138)(102, 149)(103, 136)(104, 151)(105, 137)(106, 152)(107, 139)(108, 150)(109, 142)(110, 148)(111, 144)(112, 146)(113, 159)(114, 158)(115, 157)(116, 160)(117, 155)(118, 154)(119, 153)(120, 156)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.680
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 80 f = 42
	degree seq :: [ 80^2 ]

E19.689 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 20, 20})
Quotient :: loop^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-3 * Y2 * Y1 * Y3^-1, (Y3^2 * Y2)^2, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2, Y3 * Y1 * Y3^-2 * Y2 * Y3, Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 14, 54, 94, 134, 28, 68, 108, 148, 9, 49, 89, 129, 22, 62, 102, 142, 40, 80, 120, 160, 25, 65, 105, 145, 39, 79, 119, 159, 21, 61, 101, 141, 38, 78, 118, 158, 24, 64, 104, 144, 34, 74, 114, 154, 29, 69, 109, 149, 37, 77, 117, 157, 20, 60, 100, 140, 6, 46, 86, 126, 19, 59, 99, 139, 17, 57, 97, 137, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 23, 63, 103, 143, 35, 75, 115, 155, 18, 58, 98, 138, 13, 53, 93, 133, 33, 73, 113, 153, 16, 56, 96, 136, 32, 72, 112, 152, 12, 52, 92, 132, 31, 71, 111, 151, 15, 55, 95, 135, 27, 67, 107, 147, 36, 76, 116, 156, 30, 70, 110, 150, 11, 51, 91, 131, 3, 43, 83, 123, 10, 50, 90, 130, 26, 66, 106, 146, 8, 48, 88, 128)
	L = (1, 42)(2, 41)(3, 49)(4, 52)(5, 55)(6, 58)(7, 61)(8, 64)(9, 43)(10, 69)(11, 60)(12, 44)(13, 62)(14, 66)(15, 45)(16, 68)(17, 63)(18, 46)(19, 76)(20, 51)(21, 47)(22, 53)(23, 57)(24, 48)(25, 75)(26, 54)(27, 79)(28, 56)(29, 50)(30, 80)(31, 78)(32, 74)(33, 77)(34, 72)(35, 65)(36, 59)(37, 73)(38, 71)(39, 67)(40, 70)(81, 123)(82, 126)(83, 121)(84, 133)(85, 136)(86, 122)(87, 142)(88, 145)(89, 147)(90, 141)(91, 144)(92, 139)(93, 124)(94, 150)(95, 140)(96, 125)(97, 146)(98, 154)(99, 132)(100, 135)(101, 130)(102, 127)(103, 157)(104, 131)(105, 128)(106, 137)(107, 129)(108, 155)(109, 156)(110, 134)(111, 160)(112, 159)(113, 158)(114, 138)(115, 148)(116, 149)(117, 143)(118, 153)(119, 152)(120, 151)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.681
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 80 f = 42
	degree seq :: [ 80^2 ]

E19.690 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 20, 20})
Quotient :: loop^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = (C4 x D10) : C2 (small group id <80, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y2, Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y2, Y3^-1 * Y1 * Y3^9 * Y1 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 11, 51, 91, 131, 19, 59, 99, 139, 27, 67, 107, 147, 35, 75, 115, 155, 38, 78, 118, 158, 30, 70, 110, 150, 22, 62, 102, 142, 14, 54, 94, 134, 6, 46, 86, 126, 13, 53, 93, 133, 21, 61, 101, 141, 29, 69, 109, 149, 37, 77, 117, 157, 36, 76, 116, 156, 28, 68, 108, 148, 20, 60, 100, 140, 12, 52, 92, 132, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 15, 55, 95, 135, 23, 63, 103, 143, 31, 71, 111, 151, 39, 79, 119, 159, 34, 74, 114, 154, 26, 66, 106, 146, 18, 58, 98, 138, 10, 50, 90, 130, 3, 43, 83, 123, 9, 49, 89, 129, 17, 57, 97, 137, 25, 65, 105, 145, 33, 73, 113, 153, 40, 80, 120, 160, 32, 72, 112, 152, 24, 64, 104, 144, 16, 56, 96, 136, 8, 48, 88, 128)
	L = (1, 42)(2, 41)(3, 46)(4, 50)(5, 49)(6, 43)(7, 54)(8, 53)(9, 45)(10, 44)(11, 56)(12, 55)(13, 48)(14, 47)(15, 52)(16, 51)(17, 62)(18, 61)(19, 66)(20, 65)(21, 58)(22, 57)(23, 70)(24, 69)(25, 60)(26, 59)(27, 72)(28, 71)(29, 64)(30, 63)(31, 68)(32, 67)(33, 78)(34, 77)(35, 79)(36, 80)(37, 74)(38, 73)(39, 75)(40, 76)(81, 123)(82, 126)(83, 121)(84, 128)(85, 127)(86, 122)(87, 125)(88, 124)(89, 134)(90, 133)(91, 138)(92, 137)(93, 130)(94, 129)(95, 142)(96, 141)(97, 132)(98, 131)(99, 144)(100, 143)(101, 136)(102, 135)(103, 140)(104, 139)(105, 150)(106, 149)(107, 154)(108, 153)(109, 146)(110, 145)(111, 158)(112, 157)(113, 148)(114, 147)(115, 160)(116, 159)(117, 152)(118, 151)(119, 156)(120, 155)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.682
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 80 f = 42
	degree seq :: [ 80^2 ]

E19.691 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 20, 20})
Quotient :: loop^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = (C4 x D10) : C2 (small group id <80, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2, Y3^-2 * Y2 * Y3 * Y1 * Y3^-1, Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2, Y2 * Y3 * Y1 * Y3^17 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 14, 54, 94, 134, 29, 69, 109, 149, 38, 78, 118, 158, 20, 60, 100, 140, 6, 46, 86, 126, 19, 59, 99, 139, 37, 77, 117, 157, 21, 61, 101, 141, 39, 79, 119, 159, 24, 64, 104, 144, 34, 74, 114, 154, 28, 68, 108, 148, 9, 49, 89, 129, 22, 62, 102, 142, 40, 80, 120, 160, 25, 65, 105, 145, 17, 57, 97, 137, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 23, 63, 103, 143, 36, 76, 116, 156, 31, 71, 111, 151, 11, 51, 91, 131, 3, 43, 83, 123, 10, 50, 90, 130, 30, 70, 110, 150, 12, 52, 92, 132, 32, 72, 112, 152, 15, 55, 95, 135, 27, 67, 107, 147, 35, 75, 115, 155, 18, 58, 98, 138, 13, 53, 93, 133, 33, 73, 113, 153, 16, 56, 96, 136, 26, 66, 106, 146, 8, 48, 88, 128)
	L = (1, 42)(2, 41)(3, 49)(4, 52)(5, 55)(6, 58)(7, 61)(8, 64)(9, 43)(10, 69)(11, 60)(12, 44)(13, 62)(14, 66)(15, 45)(16, 68)(17, 63)(18, 46)(19, 76)(20, 51)(21, 47)(22, 53)(23, 57)(24, 48)(25, 75)(26, 54)(27, 77)(28, 56)(29, 50)(30, 74)(31, 80)(32, 79)(33, 78)(34, 70)(35, 65)(36, 59)(37, 67)(38, 73)(39, 72)(40, 71)(81, 123)(82, 126)(83, 121)(84, 133)(85, 136)(86, 122)(87, 142)(88, 145)(89, 147)(90, 141)(91, 144)(92, 139)(93, 124)(94, 151)(95, 140)(96, 125)(97, 150)(98, 154)(99, 132)(100, 135)(101, 130)(102, 127)(103, 158)(104, 131)(105, 128)(106, 157)(107, 129)(108, 156)(109, 155)(110, 137)(111, 134)(112, 160)(113, 159)(114, 138)(115, 149)(116, 148)(117, 146)(118, 143)(119, 153)(120, 152)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.683
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 80 f = 42
	degree seq :: [ 80^2 ]

E19.692 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 20, 20})
Quotient :: loop^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = C2 x C4 x D10 (small group id <80, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y1^2 * Y3 * Y2^-1, (Y3 * Y1 * Y2^-1)^2, (Y3 * Y1^-1 * Y3 * Y2)^2, Y2^4 * Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-3, Y2 * Y3 * Y1^3 * Y3 * Y1^-6, Y3 * Y1^3 * Y3 * Y1^13, Y2^20 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 6, 46, 86, 126)(3, 43, 83, 123, 8, 48, 88, 128)(5, 45, 85, 125, 12, 52, 92, 132)(7, 47, 87, 127, 16, 56, 96, 136)(9, 49, 89, 129, 18, 58, 98, 138)(10, 50, 90, 130, 19, 59, 99, 139)(11, 51, 91, 131, 21, 61, 101, 141)(13, 53, 93, 133, 23, 63, 103, 143)(14, 54, 94, 134, 24, 64, 104, 144)(15, 55, 95, 135, 26, 66, 106, 146)(17, 57, 97, 137, 28, 68, 108, 148)(20, 60, 100, 140, 30, 70, 110, 150)(22, 62, 102, 142, 32, 72, 112, 152)(25, 65, 105, 145, 34, 74, 114, 154)(27, 67, 107, 147, 36, 76, 116, 156)(29, 69, 109, 149, 38, 78, 118, 158)(31, 71, 111, 151, 40, 80, 120, 160)(33, 73, 113, 153, 39, 79, 119, 159)(35, 75, 115, 155, 37, 77, 117, 157)
	L = (1, 42)(2, 45)(3, 41)(4, 49)(5, 51)(6, 53)(7, 43)(8, 57)(9, 56)(10, 44)(11, 60)(12, 50)(13, 48)(14, 46)(15, 47)(16, 67)(17, 66)(18, 63)(19, 64)(20, 69)(21, 54)(22, 52)(23, 59)(24, 72)(25, 55)(26, 75)(27, 74)(28, 58)(29, 77)(30, 62)(31, 61)(32, 80)(33, 65)(34, 78)(35, 79)(36, 68)(37, 76)(38, 71)(39, 70)(40, 73)(81, 123)(82, 121)(83, 127)(84, 130)(85, 122)(86, 134)(87, 135)(88, 133)(89, 124)(90, 132)(91, 125)(92, 142)(93, 126)(94, 141)(95, 145)(96, 129)(97, 128)(98, 148)(99, 143)(100, 131)(101, 151)(102, 150)(103, 138)(104, 139)(105, 153)(106, 137)(107, 136)(108, 156)(109, 140)(110, 159)(111, 158)(112, 144)(113, 160)(114, 147)(115, 146)(116, 157)(117, 149)(118, 154)(119, 155)(120, 152)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.684
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 24
	degree seq :: [ 8^20 ]

E19.693 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 20, 20})
Quotient :: loop^2
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, (Y1, Y2^-1), (R * Y3)^2, R * Y2 * R * Y1, Y2^-1 * Y3 * Y1 * Y3, Y1^-5 * Y2^5, Y1^20, Y2^20 ]
Map:: polytopal non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 9, 49, 89, 129)(3, 43, 83, 123, 12, 52, 92, 132)(5, 45, 85, 125, 15, 55, 95, 135)(6, 46, 86, 126, 14, 54, 94, 134)(7, 47, 87, 127, 17, 57, 97, 137)(8, 48, 88, 128, 19, 59, 99, 139)(10, 50, 90, 130, 20, 60, 100, 140)(11, 51, 91, 131, 22, 62, 102, 142)(13, 53, 93, 133, 24, 64, 104, 144)(16, 56, 96, 136, 26, 66, 106, 146)(18, 58, 98, 138, 28, 68, 108, 148)(21, 61, 101, 141, 30, 70, 110, 150)(23, 63, 103, 143, 32, 72, 112, 152)(25, 65, 105, 145, 34, 74, 114, 154)(27, 67, 107, 147, 36, 76, 116, 156)(29, 69, 109, 149, 37, 77, 117, 157)(31, 71, 111, 151, 38, 78, 118, 158)(33, 73, 113, 153, 39, 79, 119, 159)(35, 75, 115, 155, 40, 80, 120, 160)
	L = (1, 42)(2, 47)(3, 48)(4, 52)(5, 41)(6, 50)(7, 56)(8, 46)(9, 59)(10, 58)(11, 45)(12, 62)(13, 43)(14, 44)(15, 64)(16, 65)(17, 54)(18, 67)(19, 55)(20, 49)(21, 53)(22, 70)(23, 51)(24, 72)(25, 73)(26, 60)(27, 75)(28, 57)(29, 63)(30, 77)(31, 61)(32, 78)(33, 71)(34, 68)(35, 69)(36, 66)(37, 79)(38, 80)(39, 76)(40, 74)(81, 123)(82, 128)(83, 131)(84, 129)(85, 133)(86, 121)(87, 126)(88, 125)(89, 137)(90, 122)(91, 141)(92, 139)(93, 143)(94, 140)(95, 124)(96, 130)(97, 146)(98, 127)(99, 134)(100, 148)(101, 149)(102, 135)(103, 151)(104, 132)(105, 138)(106, 154)(107, 136)(108, 156)(109, 153)(110, 144)(111, 155)(112, 142)(113, 147)(114, 159)(115, 145)(116, 160)(117, 152)(118, 150)(119, 158)(120, 157)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.685
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 24
	degree seq :: [ 8^20 ]

E19.694 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 20, 20})
Quotient :: loop^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, (Y2^-1, Y1), R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^2, (Y3 * Y1 * Y2^-1)^2, Y1^-2 * Y2^2 * Y1^-1 * Y2 * Y1^-4, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^3 * Y1^-1 * Y2, Y1^-2 * Y2^18 ]
Map:: polytopal non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 9, 49, 89, 129)(3, 43, 83, 123, 12, 52, 92, 132)(5, 45, 85, 125, 14, 54, 94, 134)(6, 46, 86, 126, 15, 55, 95, 135)(7, 47, 87, 127, 17, 57, 97, 137)(8, 48, 88, 128, 19, 59, 99, 139)(10, 50, 90, 130, 20, 60, 100, 140)(11, 51, 91, 131, 22, 62, 102, 142)(13, 53, 93, 133, 24, 64, 104, 144)(16, 56, 96, 136, 26, 66, 106, 146)(18, 58, 98, 138, 28, 68, 108, 148)(21, 61, 101, 141, 30, 70, 110, 150)(23, 63, 103, 143, 32, 72, 112, 152)(25, 65, 105, 145, 34, 74, 114, 154)(27, 67, 107, 147, 36, 76, 116, 156)(29, 69, 109, 149, 37, 77, 117, 157)(31, 71, 111, 151, 38, 78, 118, 158)(33, 73, 113, 153, 39, 79, 119, 159)(35, 75, 115, 155, 40, 80, 120, 160)
	L = (1, 42)(2, 47)(3, 48)(4, 54)(5, 41)(6, 50)(7, 56)(8, 46)(9, 44)(10, 58)(11, 45)(12, 64)(13, 43)(14, 62)(15, 59)(16, 65)(17, 49)(18, 67)(19, 52)(20, 55)(21, 53)(22, 72)(23, 51)(24, 70)(25, 73)(26, 57)(27, 75)(28, 60)(29, 63)(30, 78)(31, 61)(32, 77)(33, 71)(34, 66)(35, 69)(36, 68)(37, 80)(38, 79)(39, 74)(40, 76)(81, 123)(82, 128)(83, 131)(84, 135)(85, 133)(86, 121)(87, 126)(88, 125)(89, 140)(90, 122)(91, 141)(92, 124)(93, 143)(94, 139)(95, 137)(96, 130)(97, 148)(98, 127)(99, 129)(100, 146)(101, 149)(102, 132)(103, 151)(104, 134)(105, 138)(106, 156)(107, 136)(108, 154)(109, 153)(110, 142)(111, 155)(112, 144)(113, 147)(114, 160)(115, 145)(116, 159)(117, 150)(118, 152)(119, 157)(120, 158)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.686
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 24
	degree seq :: [ 8^20 ]

E19.695 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 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, 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 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1, (Y2^-1 * Y1 * Y2 * Y1)^2, Y2^-1 * Y1 * Y2^-7 * Y1 * Y2^-2, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 9, 49)(5, 45, 11, 51)(6, 46, 13, 53)(8, 48, 12, 52)(10, 50, 14, 54)(15, 55, 20, 60)(16, 56, 21, 61)(17, 57, 25, 65)(18, 58, 23, 63)(19, 59, 27, 67)(22, 62, 29, 69)(24, 64, 31, 71)(26, 66, 30, 70)(28, 68, 32, 72)(33, 73, 37, 77)(34, 74, 40, 80)(35, 75, 39, 79)(36, 76, 38, 78)(81, 121, 83, 123, 88, 128, 97, 137, 106, 146, 114, 154, 119, 159, 111, 151, 103, 143, 93, 133, 101, 141, 91, 131, 100, 140, 109, 149, 117, 157, 116, 156, 108, 148, 99, 139, 90, 130, 84, 124)(82, 122, 85, 125, 92, 132, 102, 142, 110, 150, 118, 158, 115, 155, 107, 147, 98, 138, 89, 129, 96, 136, 87, 127, 95, 135, 105, 145, 113, 153, 120, 160, 112, 152, 104, 144, 94, 134, 86, 126)
	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, 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 selfdual
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.696 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, (Y2 * Y1)^4, Y2^3 * Y1 * Y2^-7 * Y1, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 9, 49)(5, 45, 11, 51)(6, 46, 13, 53)(8, 48, 14, 54)(10, 50, 12, 52)(15, 55, 20, 60)(16, 56, 23, 63)(17, 57, 25, 65)(18, 58, 21, 61)(19, 59, 27, 67)(22, 62, 29, 69)(24, 64, 31, 71)(26, 66, 32, 72)(28, 68, 30, 70)(33, 73, 39, 79)(34, 74, 38, 78)(35, 75, 37, 77)(36, 76, 40, 80)(81, 121, 83, 123, 88, 128, 97, 137, 106, 146, 114, 154, 117, 157, 109, 149, 101, 141, 91, 131, 100, 140, 93, 133, 103, 143, 111, 151, 119, 159, 116, 156, 108, 148, 99, 139, 90, 130, 84, 124)(82, 122, 85, 125, 92, 132, 102, 142, 110, 150, 118, 158, 113, 153, 105, 145, 96, 136, 87, 127, 95, 135, 89, 129, 98, 138, 107, 147, 115, 155, 120, 160, 112, 152, 104, 144, 94, 134, 86, 126)
	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, 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 selfdual
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.697 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 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 * Y3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R)^2, Y1 * Y2 * Y3 * Y1 * Y2^-1, Y2^10 * Y3, (Y2^-5 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 7, 47)(5, 45, 13, 53)(6, 46, 11, 51)(8, 48, 12, 52)(10, 50, 15, 55)(14, 54, 16, 56)(17, 57, 19, 59)(18, 58, 25, 65)(20, 60, 21, 61)(22, 62, 29, 69)(23, 63, 27, 67)(24, 64, 28, 68)(26, 66, 31, 71)(30, 70, 32, 72)(33, 73, 35, 75)(34, 74, 40, 80)(36, 76, 37, 77)(38, 78, 39, 79)(81, 121, 83, 123, 90, 130, 98, 138, 106, 146, 114, 154, 116, 156, 108, 148, 100, 140, 92, 132, 84, 124, 91, 131, 99, 139, 107, 147, 115, 155, 118, 158, 110, 150, 102, 142, 94, 134, 85, 125)(82, 122, 86, 126, 95, 135, 103, 143, 111, 151, 119, 159, 117, 157, 109, 149, 101, 141, 93, 133, 87, 127, 89, 129, 97, 137, 105, 145, 113, 153, 120, 160, 112, 152, 104, 144, 96, 136, 88, 128)
	L = (1, 84)(2, 87)(3, 91)(4, 81)(5, 92)(6, 89)(7, 82)(8, 93)(9, 86)(10, 99)(11, 83)(12, 85)(13, 88)(14, 100)(15, 97)(16, 101)(17, 95)(18, 107)(19, 90)(20, 94)(21, 96)(22, 108)(23, 105)(24, 109)(25, 103)(26, 115)(27, 98)(28, 102)(29, 104)(30, 116)(31, 113)(32, 117)(33, 111)(34, 118)(35, 106)(36, 110)(37, 112)(38, 114)(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, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.698 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y1)^2, (R * Y3)^2, (Y2^-1 * R)^2, (R * Y1)^2, Y1 * Y2^-1 * Y3 * Y1 * Y2^-1, Y2^-10 * Y3, Y2^-5 * Y1 * Y2^5 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 7, 47)(5, 45, 13, 53)(6, 46, 12, 52)(8, 48, 11, 51)(10, 50, 16, 56)(14, 54, 15, 55)(17, 57, 19, 59)(18, 58, 25, 65)(20, 60, 21, 61)(22, 62, 29, 69)(23, 63, 28, 68)(24, 64, 27, 67)(26, 66, 32, 72)(30, 70, 31, 71)(33, 73, 35, 75)(34, 74, 39, 79)(36, 76, 37, 77)(38, 78, 40, 80)(81, 121, 83, 123, 90, 130, 98, 138, 106, 146, 114, 154, 116, 156, 108, 148, 100, 140, 92, 132, 84, 124, 91, 131, 99, 139, 107, 147, 115, 155, 118, 158, 110, 150, 102, 142, 94, 134, 85, 125)(82, 122, 86, 126, 95, 135, 103, 143, 111, 151, 119, 159, 113, 153, 105, 145, 97, 137, 89, 129, 87, 127, 93, 133, 101, 141, 109, 149, 117, 157, 120, 160, 112, 152, 104, 144, 96, 136, 88, 128)
	L = (1, 84)(2, 87)(3, 91)(4, 81)(5, 92)(6, 93)(7, 82)(8, 89)(9, 88)(10, 99)(11, 83)(12, 85)(13, 86)(14, 100)(15, 101)(16, 97)(17, 96)(18, 107)(19, 90)(20, 94)(21, 95)(22, 108)(23, 109)(24, 105)(25, 104)(26, 115)(27, 98)(28, 102)(29, 103)(30, 116)(31, 117)(32, 113)(33, 112)(34, 118)(35, 106)(36, 110)(37, 111)(38, 114)(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, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.699 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (Y2, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^4 * Y3^-1, Y3^5, Y1 * Y2 * Y1 * Y2^-1 * Y3^-2, (Y1 * Y2^-2)^2, Y1 * Y2 * Y3^2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 17, 57)(6, 46, 8, 48)(7, 47, 21, 61)(9, 49, 27, 67)(12, 52, 28, 68)(13, 53, 23, 63)(14, 54, 32, 72)(15, 55, 30, 70)(16, 56, 36, 76)(18, 58, 22, 62)(19, 59, 29, 69)(20, 60, 25, 65)(24, 64, 34, 74)(26, 66, 35, 75)(31, 71, 38, 78)(33, 73, 40, 80)(37, 77, 39, 79)(81, 121, 83, 123, 92, 132, 96, 136, 84, 124, 93, 133, 113, 153, 115, 155, 95, 135, 101, 141, 118, 158, 107, 147, 100, 140, 114, 154, 117, 157, 99, 139, 86, 126, 94, 134, 98, 138, 85, 125)(82, 122, 87, 127, 102, 142, 106, 146, 88, 128, 103, 143, 119, 159, 116, 156, 105, 145, 91, 131, 111, 151, 97, 137, 110, 150, 112, 152, 120, 160, 109, 149, 90, 130, 104, 144, 108, 148, 89, 129)
	L = (1, 84)(2, 88)(3, 93)(4, 95)(5, 96)(6, 81)(7, 103)(8, 105)(9, 106)(10, 82)(11, 112)(12, 113)(13, 101)(14, 83)(15, 100)(16, 115)(17, 109)(18, 92)(19, 85)(20, 86)(21, 114)(22, 119)(23, 91)(24, 87)(25, 110)(26, 116)(27, 99)(28, 102)(29, 89)(30, 90)(31, 120)(32, 104)(33, 118)(34, 94)(35, 107)(36, 97)(37, 98)(38, 117)(39, 111)(40, 108)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.701
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.700 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y2 * Y1 * Y2^-1, Y3^5, Y3^-1 * Y2^2 * Y3 * Y2^-2, Y3^-2 * Y2^4, (Y2^-2 * Y1)^2, Y3 * Y2^2 * Y3^2 * Y2^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 17, 57)(6, 46, 8, 48)(7, 47, 14, 54)(9, 49, 16, 56)(12, 52, 24, 64)(13, 53, 28, 68)(15, 55, 26, 66)(18, 58, 21, 61)(19, 59, 34, 74)(20, 60, 23, 63)(22, 62, 33, 73)(25, 65, 29, 69)(27, 67, 31, 71)(30, 70, 39, 79)(32, 72, 38, 78)(35, 75, 37, 77)(36, 76, 40, 80)(81, 121, 83, 123, 92, 132, 109, 149, 95, 135, 112, 152, 115, 155, 99, 139, 86, 126, 94, 134, 111, 151, 96, 136, 84, 124, 93, 133, 110, 150, 116, 156, 100, 140, 113, 153, 98, 138, 85, 125)(82, 122, 87, 127, 101, 141, 114, 154, 103, 143, 118, 158, 119, 159, 105, 145, 90, 130, 91, 131, 107, 147, 97, 137, 88, 128, 102, 142, 117, 157, 120, 160, 106, 146, 108, 148, 104, 144, 89, 129)
	L = (1, 84)(2, 88)(3, 93)(4, 95)(5, 96)(6, 81)(7, 102)(8, 103)(9, 97)(10, 82)(11, 87)(12, 110)(13, 112)(14, 83)(15, 100)(16, 109)(17, 114)(18, 111)(19, 85)(20, 86)(21, 117)(22, 118)(23, 106)(24, 107)(25, 89)(26, 90)(27, 101)(28, 91)(29, 116)(30, 115)(31, 92)(32, 113)(33, 94)(34, 120)(35, 98)(36, 99)(37, 119)(38, 108)(39, 104)(40, 105)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 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 selfdual
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.701 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y3^5, Y3^-2 * Y2^-4, (Y2^2 * Y1)^2, Y3^-1 * Y2^3 * Y3^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 17, 57)(6, 46, 8, 48)(7, 47, 13, 53)(9, 49, 19, 59)(12, 52, 25, 65)(14, 54, 28, 68)(15, 55, 26, 66)(16, 56, 35, 75)(18, 58, 21, 61)(20, 60, 23, 63)(22, 62, 32, 72)(24, 64, 29, 69)(27, 67, 30, 70)(31, 71, 40, 80)(33, 73, 38, 78)(34, 74, 39, 79)(36, 76, 37, 77)(81, 121, 83, 123, 92, 132, 109, 149, 100, 140, 113, 153, 116, 156, 96, 136, 84, 124, 93, 133, 110, 150, 99, 139, 86, 126, 94, 134, 111, 151, 114, 154, 95, 135, 112, 152, 98, 138, 85, 125)(82, 122, 87, 127, 101, 141, 115, 155, 106, 146, 118, 158, 120, 160, 104, 144, 88, 128, 91, 131, 107, 147, 97, 137, 90, 130, 102, 142, 117, 157, 119, 159, 103, 143, 108, 148, 105, 145, 89, 129)
	L = (1, 84)(2, 88)(3, 93)(4, 95)(5, 96)(6, 81)(7, 91)(8, 103)(9, 104)(10, 82)(11, 108)(12, 110)(13, 112)(14, 83)(15, 100)(16, 114)(17, 89)(18, 116)(19, 85)(20, 86)(21, 107)(22, 87)(23, 106)(24, 119)(25, 120)(26, 90)(27, 105)(28, 118)(29, 99)(30, 98)(31, 92)(32, 113)(33, 94)(34, 109)(35, 97)(36, 111)(37, 101)(38, 102)(39, 115)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 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 E19.699
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.702 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3^2, Y2^-1 * Y1 * Y3 * Y2 * Y3 * Y1, (Y2^-1 * Y1 * Y2^-1)^2, Y2^2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2, Y2^3 * Y3 * Y2^3 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 17, 57)(6, 46, 8, 48)(7, 47, 21, 61)(9, 49, 27, 67)(12, 52, 28, 68)(13, 53, 23, 63)(14, 54, 32, 72)(15, 55, 30, 70)(16, 56, 35, 75)(18, 58, 22, 62)(19, 59, 29, 69)(20, 60, 25, 65)(24, 64, 33, 73)(26, 66, 36, 76)(31, 71, 38, 78)(34, 74, 40, 80)(37, 77, 39, 79)(81, 121, 83, 123, 92, 132, 113, 153, 117, 157, 99, 139, 86, 126, 94, 134, 95, 135, 101, 141, 118, 158, 107, 147, 100, 140, 96, 136, 84, 124, 93, 133, 114, 154, 116, 156, 98, 138, 85, 125)(82, 122, 87, 127, 102, 142, 112, 152, 120, 160, 109, 149, 90, 130, 104, 144, 105, 145, 91, 131, 111, 151, 97, 137, 110, 150, 106, 146, 88, 128, 103, 143, 119, 159, 115, 155, 108, 148, 89, 129)
	L = (1, 84)(2, 88)(3, 93)(4, 95)(5, 96)(6, 81)(7, 103)(8, 105)(9, 106)(10, 82)(11, 112)(12, 114)(13, 101)(14, 83)(15, 92)(16, 94)(17, 109)(18, 100)(19, 85)(20, 86)(21, 113)(22, 119)(23, 91)(24, 87)(25, 102)(26, 104)(27, 99)(28, 110)(29, 89)(30, 90)(31, 120)(32, 115)(33, 116)(34, 118)(35, 97)(36, 107)(37, 98)(38, 117)(39, 111)(40, 108)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.703
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.703 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3^-3 * Y2 * Y1 * Y3 * Y2^-1 * Y1, Y3^10, (Y3 * Y2^-1)^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 15, 55)(6, 46, 8, 48)(7, 47, 17, 57)(9, 49, 21, 61)(12, 52, 24, 64)(13, 53, 22, 62)(14, 54, 29, 69)(16, 56, 19, 59)(18, 58, 33, 73)(20, 60, 38, 78)(23, 63, 32, 72)(25, 65, 39, 79)(26, 66, 35, 75)(27, 67, 40, 80)(28, 68, 37, 77)(30, 70, 34, 74)(31, 71, 36, 76)(81, 121, 83, 123, 86, 126, 92, 132, 96, 136, 106, 146, 111, 151, 113, 153, 114, 154, 97, 137, 112, 152, 101, 141, 119, 159, 118, 158, 107, 147, 108, 148, 93, 133, 94, 134, 84, 124, 85, 125)(82, 122, 87, 127, 90, 130, 98, 138, 102, 142, 115, 155, 120, 160, 104, 144, 105, 145, 91, 131, 103, 143, 95, 135, 110, 150, 109, 149, 116, 156, 117, 157, 99, 139, 100, 140, 88, 128, 89, 129)
	L = (1, 84)(2, 88)(3, 85)(4, 93)(5, 94)(6, 81)(7, 89)(8, 99)(9, 100)(10, 82)(11, 104)(12, 83)(13, 107)(14, 108)(15, 91)(16, 86)(17, 113)(18, 87)(19, 116)(20, 117)(21, 97)(22, 90)(23, 105)(24, 115)(25, 120)(26, 92)(27, 119)(28, 118)(29, 95)(30, 103)(31, 96)(32, 114)(33, 106)(34, 111)(35, 98)(36, 110)(37, 109)(38, 101)(39, 112)(40, 102)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 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 E19.702
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.704 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, (Y3^-1 * Y1)^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, R * Y1 * Y2 * R * Y2^-1 * Y1 * Y3^-1, Y3^3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1, Y2 * Y3^4 * Y1 * Y2^-1 * Y1, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 14, 54)(6, 46, 8, 48)(7, 47, 17, 57)(9, 49, 20, 60)(12, 52, 25, 65)(13, 53, 22, 62)(15, 55, 29, 69)(16, 56, 19, 59)(18, 58, 34, 74)(21, 61, 38, 78)(23, 63, 32, 72)(24, 64, 37, 77)(26, 66, 35, 75)(27, 67, 40, 80)(28, 68, 33, 73)(30, 70, 39, 79)(31, 71, 36, 76)(81, 121, 83, 123, 84, 124, 92, 132, 93, 133, 106, 146, 107, 147, 114, 154, 113, 153, 97, 137, 112, 152, 100, 140, 117, 157, 118, 158, 111, 151, 110, 150, 96, 136, 95, 135, 86, 126, 85, 125)(82, 122, 87, 127, 88, 128, 98, 138, 99, 139, 115, 155, 116, 156, 105, 145, 104, 144, 91, 131, 103, 143, 94, 134, 108, 148, 109, 149, 120, 160, 119, 159, 102, 142, 101, 141, 90, 130, 89, 129)
	L = (1, 84)(2, 88)(3, 92)(4, 93)(5, 83)(6, 81)(7, 98)(8, 99)(9, 87)(10, 82)(11, 94)(12, 106)(13, 107)(14, 109)(15, 85)(16, 86)(17, 100)(18, 115)(19, 116)(20, 118)(21, 89)(22, 90)(23, 108)(24, 103)(25, 91)(26, 114)(27, 113)(28, 120)(29, 119)(30, 95)(31, 96)(32, 117)(33, 112)(34, 97)(35, 105)(36, 104)(37, 111)(38, 110)(39, 101)(40, 102)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.705 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: halfedge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3, (Y1^-1 * Y2)^2, Y1^20 ]
Map::
	R = (1, 42, 2, 45, 5, 49, 9, 53, 13, 57, 17, 61, 21, 65, 25, 69, 29, 73, 33, 77, 37, 76, 36, 72, 32, 68, 28, 64, 24, 60, 20, 56, 16, 52, 12, 48, 8, 44, 4, 41)(3, 47, 7, 51, 11, 55, 15, 59, 19, 63, 23, 67, 27, 71, 31, 75, 35, 79, 39, 80, 40, 78, 38, 74, 34, 70, 30, 66, 26, 62, 22, 58, 18, 54, 14, 50, 10, 46, 6, 43)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 34)(32, 35)(33, 38)(36, 39)(37, 40)(41, 43)(42, 46)(44, 47)(45, 50)(48, 51)(49, 54)(52, 55)(53, 58)(56, 59)(57, 62)(60, 63)(61, 66)(64, 67)(65, 70)(68, 71)(69, 74)(72, 75)(73, 78)(76, 79)(77, 80)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.706 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: halfedge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y2 * Y1 * Y3 * Y1^-3, (Y2 * Y3)^5, (Y2 * Y1^-2 * Y3)^10 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 54, 14, 50, 10, 57, 17, 64, 24, 71, 31, 67, 27, 73, 33, 79, 39, 77, 37, 70, 30, 74, 34, 68, 28, 61, 21, 52, 12, 58, 18, 53, 13, 45, 5, 41)(3, 49, 9, 56, 16, 48, 8, 44, 4, 51, 11, 60, 20, 66, 26, 62, 22, 69, 29, 76, 36, 80, 40, 75, 35, 78, 38, 72, 32, 65, 25, 59, 19, 63, 23, 55, 15, 47, 7, 43)
	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, 40)(36, 39)(41, 44)(42, 48)(43, 50)(45, 51)(46, 56)(47, 57)(49, 54)(52, 62)(53, 60)(55, 64)(58, 66)(59, 67)(61, 69)(63, 71)(65, 73)(68, 76)(70, 75)(72, 79)(74, 80)(77, 78)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E19.708
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.707 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: halfedge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y3 * Y1^-4 * Y2 * Y3, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-2, Y1^20 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 54, 14, 66, 26, 77, 37, 74, 34, 63, 23, 52, 12, 58, 18, 70, 30, 60, 20, 50, 10, 57, 17, 69, 29, 79, 39, 76, 36, 65, 25, 53, 13, 45, 5, 41)(3, 49, 9, 59, 19, 72, 32, 64, 24, 75, 35, 80, 40, 71, 31, 61, 21, 68, 28, 56, 16, 48, 8, 44, 4, 51, 11, 62, 22, 73, 33, 78, 38, 67, 27, 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, 27)(16, 30)(17, 31)(20, 28)(22, 34)(24, 36)(25, 32)(26, 38)(29, 40)(33, 37)(35, 39)(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, 70)(61, 66)(63, 75)(65, 73)(67, 79)(71, 77)(74, 80)(76, 78)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.708 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: halfedge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-3, Y1^8 * Y3 * Y2, Y1^-3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 54, 14, 66, 26, 77, 37, 74, 34, 60, 20, 50, 10, 57, 17, 69, 29, 63, 23, 52, 12, 58, 18, 70, 30, 79, 39, 76, 36, 65, 25, 53, 13, 45, 5, 41)(3, 49, 9, 59, 19, 73, 33, 78, 38, 68, 28, 56, 16, 48, 8, 44, 4, 51, 11, 62, 22, 71, 31, 61, 21, 75, 35, 80, 40, 72, 32, 64, 24, 67, 27, 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, 27)(16, 30)(17, 31)(20, 35)(22, 29)(24, 26)(25, 33)(28, 39)(32, 37)(34, 40)(36, 38)(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, 67)(65, 71)(66, 78)(70, 80)(73, 77)(75, 79)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E19.706
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.709 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: edge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|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, Y3^20 ]
Map::
	R = (1, 41, 3, 43, 7, 47, 11, 51, 15, 55, 19, 59, 23, 63, 27, 67, 31, 71, 35, 75, 39, 79, 36, 76, 32, 72, 28, 68, 24, 64, 20, 60, 16, 56, 12, 52, 8, 48, 4, 44)(2, 42, 5, 45, 9, 49, 13, 53, 17, 57, 21, 61, 25, 65, 29, 69, 33, 73, 37, 77, 40, 80, 38, 78, 34, 74, 30, 70, 26, 66, 22, 62, 18, 58, 14, 54, 10, 50, 6, 46)(81, 82)(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, 118)(116, 117)(119, 120)(121, 122)(123, 126)(124, 125)(127, 130)(128, 129)(131, 134)(132, 133)(135, 138)(136, 137)(139, 142)(140, 141)(143, 146)(144, 145)(147, 150)(148, 149)(151, 154)(152, 153)(155, 158)(156, 157)(159, 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 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.714
Graph:: simple bipartite
	v = 42 e = 80 f = 2
	degree seq :: [ 2^40, 40^2 ]

E19.710 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: edge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y3^4 * Y1, (Y2 * Y1)^5, Y1 * Y3^2 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 ]
Map::
	R = (1, 41, 4, 44, 12, 52, 21, 61, 9, 49, 20, 60, 30, 70, 36, 76, 27, 67, 35, 75, 40, 80, 33, 73, 23, 63, 32, 72, 26, 66, 16, 56, 6, 46, 15, 55, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 25, 65, 14, 54, 24, 64, 34, 74, 39, 79, 31, 71, 38, 78, 37, 77, 29, 69, 19, 59, 28, 68, 22, 62, 11, 51, 3, 43, 10, 50, 18, 58, 8, 48)(81, 82)(83, 89)(84, 88)(85, 87)(86, 94)(90, 101)(91, 100)(92, 98)(93, 97)(95, 105)(96, 104)(99, 107)(102, 110)(103, 111)(106, 114)(108, 116)(109, 115)(112, 119)(113, 118)(117, 120)(121, 123)(122, 126)(124, 131)(125, 130)(127, 136)(128, 135)(129, 139)(132, 142)(133, 138)(134, 143)(137, 146)(140, 149)(141, 148)(144, 153)(145, 152)(147, 151)(150, 157)(154, 160)(155, 159)(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 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.716
Graph:: simple bipartite
	v = 42 e = 80 f = 2
	degree seq :: [ 2^40, 40^2 ]

E19.711 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: edge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2 * Y3^-4 * Y1, Y1 * Y2 * Y3^-3 * Y2 * Y1 * Y3^3, (Y2 * Y1)^5, Y3^-2 * Y2 * Y3 * Y1 * Y3^-5, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 41, 4, 44, 12, 52, 24, 64, 26, 66, 38, 78, 35, 75, 21, 61, 9, 49, 20, 60, 30, 70, 16, 56, 6, 46, 15, 55, 29, 69, 40, 80, 33, 73, 25, 65, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 31, 71, 19, 59, 34, 74, 39, 79, 28, 68, 14, 54, 27, 67, 23, 63, 11, 51, 3, 43, 10, 50, 22, 62, 36, 76, 37, 77, 32, 72, 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, 113)(102, 115)(103, 110)(104, 112)(105, 111)(106, 117)(109, 119)(114, 120)(116, 118)(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, 151)(141, 154)(144, 147)(145, 156)(148, 158)(152, 160)(153, 157)(155, 159)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 80, 80 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.715
Graph:: simple bipartite
	v = 42 e = 80 f = 2
	degree seq :: [ 2^40, 40^2 ]

E19.712 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: edge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y3^4 * Y1, Y3^2 * Y2 * Y3^-1 * Y1 * Y3^5, (Y2 * Y1)^5, (Y3 * Y1 * Y2)^20 ]
Map::
	R = (1, 41, 4, 44, 12, 52, 24, 64, 33, 73, 40, 80, 30, 70, 16, 56, 6, 46, 15, 55, 29, 69, 21, 61, 9, 49, 20, 60, 35, 75, 38, 78, 26, 66, 25, 65, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 31, 71, 37, 77, 36, 76, 23, 63, 11, 51, 3, 43, 10, 50, 22, 62, 28, 68, 14, 54, 27, 67, 39, 79, 34, 74, 19, 59, 32, 72, 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, 113)(102, 109)(103, 115)(104, 112)(105, 111)(106, 117)(110, 119)(114, 120)(116, 118)(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, 152)(144, 156)(145, 148)(147, 158)(151, 160)(153, 157)(155, 159)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 80, 80 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.717
Graph:: simple bipartite
	v = 42 e = 80 f = 2
	degree seq :: [ 2^40, 40^2 ]

E19.713 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: edge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, Y1^20, Y2^20 ]
Map:: non-degenerate
	R = (1, 41, 4, 44)(2, 42, 6, 46)(3, 43, 8, 48)(5, 45, 10, 50)(7, 47, 12, 52)(9, 49, 14, 54)(11, 51, 16, 56)(13, 53, 18, 58)(15, 55, 20, 60)(17, 57, 22, 62)(19, 59, 24, 64)(21, 61, 26, 66)(23, 63, 28, 68)(25, 65, 30, 70)(27, 67, 32, 72)(29, 69, 34, 74)(31, 71, 36, 76)(33, 73, 38, 78)(35, 75, 39, 79)(37, 77, 40, 80)(81, 82, 85, 89, 93, 97, 101, 105, 109, 113, 117, 115, 111, 107, 103, 99, 95, 91, 87, 83)(84, 88, 92, 96, 100, 104, 108, 112, 116, 119, 120, 118, 114, 110, 106, 102, 98, 94, 90, 86)(121, 123, 127, 131, 135, 139, 143, 147, 151, 155, 157, 153, 149, 145, 141, 137, 133, 129, 125, 122)(124, 126, 130, 134, 138, 142, 146, 150, 154, 158, 160, 159, 156, 152, 148, 144, 140, 136, 132, 128)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E19.718
Graph:: simple bipartite
	v = 24 e = 80 f = 20
	degree seq :: [ 4^20, 20^4 ]

E19.714 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 20, 20})
Quotient :: loop^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|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, Y3^20 ]
Map::
	R = (1, 41, 81, 121, 3, 43, 83, 123, 7, 47, 87, 127, 11, 51, 91, 131, 15, 55, 95, 135, 19, 59, 99, 139, 23, 63, 103, 143, 27, 67, 107, 147, 31, 71, 111, 151, 35, 75, 115, 155, 39, 79, 119, 159, 36, 76, 116, 156, 32, 72, 112, 152, 28, 68, 108, 148, 24, 64, 104, 144, 20, 60, 100, 140, 16, 56, 96, 136, 12, 52, 92, 132, 8, 48, 88, 128, 4, 44, 84, 124)(2, 42, 82, 122, 5, 45, 85, 125, 9, 49, 89, 129, 13, 53, 93, 133, 17, 57, 97, 137, 21, 61, 101, 141, 25, 65, 105, 145, 29, 69, 109, 149, 33, 73, 113, 153, 37, 77, 117, 157, 40, 80, 120, 160, 38, 78, 118, 158, 34, 74, 114, 154, 30, 70, 110, 150, 26, 66, 106, 146, 22, 62, 102, 142, 18, 58, 98, 138, 14, 54, 94, 134, 10, 50, 90, 130, 6, 46, 86, 126)
	L = (1, 42)(2, 41)(3, 46)(4, 45)(5, 44)(6, 43)(7, 50)(8, 49)(9, 48)(10, 47)(11, 54)(12, 53)(13, 52)(14, 51)(15, 58)(16, 57)(17, 56)(18, 55)(19, 62)(20, 61)(21, 60)(22, 59)(23, 66)(24, 65)(25, 64)(26, 63)(27, 70)(28, 69)(29, 68)(30, 67)(31, 74)(32, 73)(33, 72)(34, 71)(35, 78)(36, 77)(37, 76)(38, 75)(39, 80)(40, 79)(81, 122)(82, 121)(83, 126)(84, 125)(85, 124)(86, 123)(87, 130)(88, 129)(89, 128)(90, 127)(91, 134)(92, 133)(93, 132)(94, 131)(95, 138)(96, 137)(97, 136)(98, 135)(99, 142)(100, 141)(101, 140)(102, 139)(103, 146)(104, 145)(105, 144)(106, 143)(107, 150)(108, 149)(109, 148)(110, 147)(111, 154)(112, 153)(113, 152)(114, 151)(115, 158)(116, 157)(117, 156)(118, 155)(119, 160)(120, 159)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.709
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 80 f = 42
	degree seq :: [ 80^2 ]

E19.715 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 20, 20})
Quotient :: loop^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y3^4 * Y1, (Y2 * Y1)^5, Y1 * Y3^2 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 12, 52, 92, 132, 21, 61, 101, 141, 9, 49, 89, 129, 20, 60, 100, 140, 30, 70, 110, 150, 36, 76, 116, 156, 27, 67, 107, 147, 35, 75, 115, 155, 40, 80, 120, 160, 33, 73, 113, 153, 23, 63, 103, 143, 32, 72, 112, 152, 26, 66, 106, 146, 16, 56, 96, 136, 6, 46, 86, 126, 15, 55, 95, 135, 13, 53, 93, 133, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 17, 57, 97, 137, 25, 65, 105, 145, 14, 54, 94, 134, 24, 64, 104, 144, 34, 74, 114, 154, 39, 79, 119, 159, 31, 71, 111, 151, 38, 78, 118, 158, 37, 77, 117, 157, 29, 69, 109, 149, 19, 59, 99, 139, 28, 68, 108, 148, 22, 62, 102, 142, 11, 51, 91, 131, 3, 43, 83, 123, 10, 50, 90, 130, 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, 65)(16, 64)(17, 53)(18, 52)(19, 67)(20, 51)(21, 50)(22, 70)(23, 71)(24, 56)(25, 55)(26, 74)(27, 59)(28, 76)(29, 75)(30, 62)(31, 63)(32, 79)(33, 78)(34, 66)(35, 69)(36, 68)(37, 80)(38, 73)(39, 72)(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, 142)(93, 138)(94, 143)(95, 128)(96, 127)(97, 146)(98, 133)(99, 129)(100, 149)(101, 148)(102, 132)(103, 134)(104, 153)(105, 152)(106, 137)(107, 151)(108, 141)(109, 140)(110, 157)(111, 147)(112, 145)(113, 144)(114, 160)(115, 159)(116, 158)(117, 150)(118, 156)(119, 155)(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, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E19.711
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 80 f = 42
	degree seq :: [ 80^2 ]

E19.716 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 20, 20})
Quotient :: loop^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2 * Y3^-4 * Y1, Y1 * Y2 * Y3^-3 * Y2 * Y1 * Y3^3, (Y2 * Y1)^5, Y3^-2 * Y2 * Y3 * Y1 * Y3^-5, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 12, 52, 92, 132, 24, 64, 104, 144, 26, 66, 106, 146, 38, 78, 118, 158, 35, 75, 115, 155, 21, 61, 101, 141, 9, 49, 89, 129, 20, 60, 100, 140, 30, 70, 110, 150, 16, 56, 96, 136, 6, 46, 86, 126, 15, 55, 95, 135, 29, 69, 109, 149, 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, 31, 71, 111, 151, 19, 59, 99, 139, 34, 74, 114, 154, 39, 79, 119, 159, 28, 68, 108, 148, 14, 54, 94, 134, 27, 67, 107, 147, 23, 63, 103, 143, 11, 51, 91, 131, 3, 43, 83, 123, 10, 50, 90, 130, 22, 62, 102, 142, 36, 76, 116, 156, 37, 77, 117, 157, 32, 72, 112, 152, 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, 73)(20, 51)(21, 50)(22, 75)(23, 70)(24, 72)(25, 71)(26, 77)(27, 56)(28, 55)(29, 79)(30, 63)(31, 65)(32, 64)(33, 59)(34, 80)(35, 62)(36, 78)(37, 66)(38, 76)(39, 69)(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, 151)(101, 154)(102, 133)(103, 132)(104, 147)(105, 156)(106, 134)(107, 144)(108, 158)(109, 138)(110, 137)(111, 140)(112, 160)(113, 157)(114, 141)(115, 159)(116, 145)(117, 153)(118, 148)(119, 155)(120, 152)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.710
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 80 f = 42
	degree seq :: [ 80^2 ]

E19.717 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 20, 20})
Quotient :: loop^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y3^4 * Y1, Y3^2 * Y2 * Y3^-1 * Y1 * Y3^5, (Y2 * Y1)^5, (Y3 * Y1 * Y2)^20 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 12, 52, 92, 132, 24, 64, 104, 144, 33, 73, 113, 153, 40, 80, 120, 160, 30, 70, 110, 150, 16, 56, 96, 136, 6, 46, 86, 126, 15, 55, 95, 135, 29, 69, 109, 149, 21, 61, 101, 141, 9, 49, 89, 129, 20, 60, 100, 140, 35, 75, 115, 155, 38, 78, 118, 158, 26, 66, 106, 146, 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, 37, 77, 117, 157, 36, 76, 116, 156, 23, 63, 103, 143, 11, 51, 91, 131, 3, 43, 83, 123, 10, 50, 90, 130, 22, 62, 102, 142, 28, 68, 108, 148, 14, 54, 94, 134, 27, 67, 107, 147, 39, 79, 119, 159, 34, 74, 114, 154, 19, 59, 99, 139, 32, 72, 112, 152, 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, 73)(20, 51)(21, 50)(22, 69)(23, 75)(24, 72)(25, 71)(26, 77)(27, 56)(28, 55)(29, 62)(30, 79)(31, 65)(32, 64)(33, 59)(34, 80)(35, 63)(36, 78)(37, 66)(38, 76)(39, 70)(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, 152)(102, 133)(103, 132)(104, 156)(105, 148)(106, 134)(107, 158)(108, 145)(109, 138)(110, 137)(111, 160)(112, 141)(113, 157)(114, 140)(115, 159)(116, 144)(117, 153)(118, 147)(119, 155)(120, 151)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.712
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 80 f = 42
	degree seq :: [ 80^2 ]

E19.718 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 20, 20})
Quotient :: loop^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, Y1^20, Y2^20 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 6, 46, 86, 126)(3, 43, 83, 123, 8, 48, 88, 128)(5, 45, 85, 125, 10, 50, 90, 130)(7, 47, 87, 127, 12, 52, 92, 132)(9, 49, 89, 129, 14, 54, 94, 134)(11, 51, 91, 131, 16, 56, 96, 136)(13, 53, 93, 133, 18, 58, 98, 138)(15, 55, 95, 135, 20, 60, 100, 140)(17, 57, 97, 137, 22, 62, 102, 142)(19, 59, 99, 139, 24, 64, 104, 144)(21, 61, 101, 141, 26, 66, 106, 146)(23, 63, 103, 143, 28, 68, 108, 148)(25, 65, 105, 145, 30, 70, 110, 150)(27, 67, 107, 147, 32, 72, 112, 152)(29, 69, 109, 149, 34, 74, 114, 154)(31, 71, 111, 151, 36, 76, 116, 156)(33, 73, 113, 153, 38, 78, 118, 158)(35, 75, 115, 155, 39, 79, 119, 159)(37, 77, 117, 157, 40, 80, 120, 160)
	L = (1, 42)(2, 45)(3, 41)(4, 48)(5, 49)(6, 44)(7, 43)(8, 52)(9, 53)(10, 46)(11, 47)(12, 56)(13, 57)(14, 50)(15, 51)(16, 60)(17, 61)(18, 54)(19, 55)(20, 64)(21, 65)(22, 58)(23, 59)(24, 68)(25, 69)(26, 62)(27, 63)(28, 72)(29, 73)(30, 66)(31, 67)(32, 76)(33, 77)(34, 70)(35, 71)(36, 79)(37, 75)(38, 74)(39, 80)(40, 78)(81, 123)(82, 121)(83, 127)(84, 126)(85, 122)(86, 130)(87, 131)(88, 124)(89, 125)(90, 134)(91, 135)(92, 128)(93, 129)(94, 138)(95, 139)(96, 132)(97, 133)(98, 142)(99, 143)(100, 136)(101, 137)(102, 146)(103, 147)(104, 140)(105, 141)(106, 150)(107, 151)(108, 144)(109, 145)(110, 154)(111, 155)(112, 148)(113, 149)(114, 158)(115, 157)(116, 152)(117, 153)(118, 160)(119, 156)(120, 159)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.713
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 24
	degree seq :: [ 8^20 ]

E19.719 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^20, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 41, 2, 42)(3, 43, 5, 45)(4, 44, 6, 46)(7, 47, 9, 49)(8, 48, 10, 50)(11, 51, 13, 53)(12, 52, 14, 54)(15, 55, 17, 57)(16, 56, 18, 58)(19, 59, 21, 61)(20, 60, 22, 62)(23, 63, 25, 65)(24, 64, 26, 66)(27, 67, 29, 69)(28, 68, 30, 70)(31, 71, 33, 73)(32, 72, 34, 74)(35, 75, 37, 77)(36, 76, 38, 78)(39, 79, 40, 80)(81, 121, 83, 123, 87, 127, 91, 131, 95, 135, 99, 139, 103, 143, 107, 147, 111, 151, 115, 155, 119, 159, 116, 156, 112, 152, 108, 148, 104, 144, 100, 140, 96, 136, 92, 132, 88, 128, 84, 124)(82, 122, 85, 125, 89, 129, 93, 133, 97, 137, 101, 141, 105, 145, 109, 149, 113, 153, 117, 157, 120, 160, 118, 158, 114, 154, 110, 150, 106, 146, 102, 142, 98, 138, 94, 134, 90, 130, 86, 126)
	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, 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 selfdual
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.720 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 20})
Quotient :: dipole
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^20, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 41, 2, 42)(3, 43, 6, 46)(4, 44, 5, 45)(7, 47, 10, 50)(8, 48, 9, 49)(11, 51, 14, 54)(12, 52, 13, 53)(15, 55, 18, 58)(16, 56, 17, 57)(19, 59, 22, 62)(20, 60, 21, 61)(23, 63, 26, 66)(24, 64, 25, 65)(27, 67, 30, 70)(28, 68, 29, 69)(31, 71, 34, 74)(32, 72, 33, 73)(35, 75, 38, 78)(36, 76, 37, 77)(39, 79, 40, 80)(81, 121, 83, 123, 87, 127, 91, 131, 95, 135, 99, 139, 103, 143, 107, 147, 111, 151, 115, 155, 119, 159, 116, 156, 112, 152, 108, 148, 104, 144, 100, 140, 96, 136, 92, 132, 88, 128, 84, 124)(82, 122, 85, 125, 89, 129, 93, 133, 97, 137, 101, 141, 105, 145, 109, 149, 113, 153, 117, 157, 120, 160, 118, 158, 114, 154, 110, 150, 106, 146, 102, 142, 98, 138, 94, 134, 90, 130, 86, 126)
	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, 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 selfdual
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.721 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1 * R)^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^10 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 6, 46)(4, 44, 7, 47)(5, 45, 8, 48)(9, 49, 13, 53)(10, 50, 14, 54)(11, 51, 15, 55)(12, 52, 16, 56)(17, 57, 21, 61)(18, 58, 22, 62)(19, 59, 23, 63)(20, 60, 24, 64)(25, 65, 29, 69)(26, 66, 30, 70)(27, 67, 31, 71)(28, 68, 32, 72)(33, 73, 36, 76)(34, 74, 37, 77)(35, 75, 38, 78)(39, 79, 40, 80)(81, 121, 83, 123, 89, 129, 97, 137, 105, 145, 113, 153, 112, 152, 104, 144, 96, 136, 88, 128, 82, 122, 86, 126, 93, 133, 101, 141, 109, 149, 116, 156, 108, 148, 100, 140, 92, 132, 85, 125)(84, 124, 90, 130, 98, 138, 106, 146, 114, 154, 119, 159, 118, 158, 111, 151, 103, 143, 95, 135, 87, 127, 94, 134, 102, 142, 110, 150, 117, 157, 120, 160, 115, 155, 107, 147, 99, 139, 91, 131)
	L = (1, 84)(2, 87)(3, 90)(4, 81)(5, 91)(6, 94)(7, 82)(8, 95)(9, 98)(10, 83)(11, 85)(12, 99)(13, 102)(14, 86)(15, 88)(16, 103)(17, 106)(18, 89)(19, 92)(20, 107)(21, 110)(22, 93)(23, 96)(24, 111)(25, 114)(26, 97)(27, 100)(28, 115)(29, 117)(30, 101)(31, 104)(32, 118)(33, 119)(34, 105)(35, 108)(36, 120)(37, 109)(38, 112)(39, 113)(40, 116)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 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 E19.722
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.722 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^8 * Y3 * Y2^2 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 6, 46)(4, 44, 7, 47)(5, 45, 8, 48)(9, 49, 13, 53)(10, 50, 14, 54)(11, 51, 15, 55)(12, 52, 16, 56)(17, 57, 21, 61)(18, 58, 22, 62)(19, 59, 23, 63)(20, 60, 24, 64)(25, 65, 29, 69)(26, 66, 30, 70)(27, 67, 31, 71)(28, 68, 32, 72)(33, 73, 37, 77)(34, 74, 38, 78)(35, 75, 39, 79)(36, 76, 40, 80)(81, 121, 83, 123, 89, 129, 97, 137, 105, 145, 113, 153, 119, 159, 111, 151, 103, 143, 95, 135, 87, 127, 94, 134, 102, 142, 110, 150, 118, 158, 116, 156, 108, 148, 100, 140, 92, 132, 85, 125)(82, 122, 86, 126, 93, 133, 101, 141, 109, 149, 117, 157, 115, 155, 107, 147, 99, 139, 91, 131, 84, 124, 90, 130, 98, 138, 106, 146, 114, 154, 120, 160, 112, 152, 104, 144, 96, 136, 88, 128)
	L = (1, 84)(2, 87)(3, 90)(4, 81)(5, 91)(6, 94)(7, 82)(8, 95)(9, 98)(10, 83)(11, 85)(12, 99)(13, 102)(14, 86)(15, 88)(16, 103)(17, 106)(18, 89)(19, 92)(20, 107)(21, 110)(22, 93)(23, 96)(24, 111)(25, 114)(26, 97)(27, 100)(28, 115)(29, 118)(30, 101)(31, 104)(32, 119)(33, 120)(34, 105)(35, 108)(36, 117)(37, 116)(38, 109)(39, 112)(40, 113)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 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 E19.721
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.723 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y1)^2, 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, 13, 53)(10, 50, 14, 54)(11, 51, 15, 55)(12, 52, 16, 56)(17, 57, 21, 61)(18, 58, 22, 62)(19, 59, 23, 63)(20, 60, 24, 64)(25, 65, 29, 69)(26, 66, 30, 70)(27, 67, 31, 71)(28, 68, 32, 72)(33, 73, 37, 77)(34, 74, 38, 78)(35, 75, 39, 79)(36, 76, 40, 80)(81, 121, 83, 123, 89, 129, 97, 137, 105, 145, 113, 153, 115, 155, 107, 147, 99, 139, 91, 131, 84, 124, 90, 130, 98, 138, 106, 146, 114, 154, 116, 156, 108, 148, 100, 140, 92, 132, 85, 125)(82, 122, 86, 126, 93, 133, 101, 141, 109, 149, 117, 157, 119, 159, 111, 151, 103, 143, 95, 135, 87, 127, 94, 134, 102, 142, 110, 150, 118, 158, 120, 160, 112, 152, 104, 144, 96, 136, 88, 128)
	L = (1, 84)(2, 87)(3, 90)(4, 81)(5, 91)(6, 94)(7, 82)(8, 95)(9, 98)(10, 83)(11, 85)(12, 99)(13, 102)(14, 86)(15, 88)(16, 103)(17, 106)(18, 89)(19, 92)(20, 107)(21, 110)(22, 93)(23, 96)(24, 111)(25, 114)(26, 97)(27, 100)(28, 115)(29, 118)(30, 101)(31, 104)(32, 119)(33, 116)(34, 105)(35, 108)(36, 113)(37, 120)(38, 109)(39, 112)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 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 selfdual
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.724 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 20})
Quotient :: dipole
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, Y3 * Y2^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 8, 48)(4, 44, 7, 47)(5, 45, 6, 46)(9, 49, 16, 56)(10, 50, 15, 55)(11, 51, 14, 54)(12, 52, 13, 53)(17, 57, 24, 64)(18, 58, 23, 63)(19, 59, 22, 62)(20, 60, 21, 61)(25, 65, 32, 72)(26, 66, 31, 71)(27, 67, 30, 70)(28, 68, 29, 69)(33, 73, 40, 80)(34, 74, 39, 79)(35, 75, 38, 78)(36, 76, 37, 77)(81, 121, 83, 123, 89, 129, 97, 137, 105, 145, 113, 153, 115, 155, 107, 147, 99, 139, 91, 131, 84, 124, 90, 130, 98, 138, 106, 146, 114, 154, 116, 156, 108, 148, 100, 140, 92, 132, 85, 125)(82, 122, 86, 126, 93, 133, 101, 141, 109, 149, 117, 157, 119, 159, 111, 151, 103, 143, 95, 135, 87, 127, 94, 134, 102, 142, 110, 150, 118, 158, 120, 160, 112, 152, 104, 144, 96, 136, 88, 128)
	L = (1, 84)(2, 87)(3, 90)(4, 81)(5, 91)(6, 94)(7, 82)(8, 95)(9, 98)(10, 83)(11, 85)(12, 99)(13, 102)(14, 86)(15, 88)(16, 103)(17, 106)(18, 89)(19, 92)(20, 107)(21, 110)(22, 93)(23, 96)(24, 111)(25, 114)(26, 97)(27, 100)(28, 115)(29, 118)(30, 101)(31, 104)(32, 119)(33, 116)(34, 105)(35, 108)(36, 113)(37, 120)(38, 109)(39, 112)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 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 selfdual
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.725 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 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, (Y2 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y2^4 * Y3^-1, Y3^5, Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2^2 * Y3 ]
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, 37, 77)(28, 68, 38, 78)(29, 69, 36, 76)(30, 70, 35, 75)(31, 71, 33, 73)(32, 72, 34, 74)(39, 79, 40, 80)(81, 121, 83, 123, 91, 131, 95, 135, 84, 124, 92, 132, 107, 147, 110, 150, 94, 134, 108, 148, 119, 159, 112, 152, 98, 138, 109, 149, 111, 151, 97, 137, 86, 126, 93, 133, 96, 136, 85, 125)(82, 122, 87, 127, 99, 139, 103, 143, 88, 128, 100, 140, 113, 153, 116, 156, 102, 142, 114, 154, 120, 160, 118, 158, 106, 146, 115, 155, 117, 157, 105, 145, 90, 130, 101, 141, 104, 144, 89, 129)
	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, 98)(15, 110)(16, 91)(17, 85)(18, 86)(19, 113)(20, 114)(21, 87)(22, 106)(23, 116)(24, 99)(25, 89)(26, 90)(27, 119)(28, 109)(29, 93)(30, 112)(31, 96)(32, 97)(33, 120)(34, 115)(35, 101)(36, 118)(37, 104)(38, 105)(39, 111)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 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 E19.727
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.726 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 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, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, Y3^5, Y3^2 * Y2^-4, Y3 * Y2^2 * Y3^2 * Y2^2 ]
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, 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, 38, 78)(28, 68, 39, 79)(29, 69, 36, 76)(30, 70, 40, 80)(31, 71, 34, 74)(32, 72, 35, 75)(33, 73, 37, 77)(81, 121, 83, 123, 91, 131, 107, 147, 94, 134, 110, 150, 112, 152, 97, 137, 86, 126, 93, 133, 109, 149, 95, 135, 84, 124, 92, 132, 108, 148, 113, 153, 98, 138, 111, 151, 96, 136, 85, 125)(82, 122, 87, 127, 99, 139, 114, 154, 102, 142, 117, 157, 119, 159, 105, 145, 90, 130, 101, 141, 116, 156, 103, 143, 88, 128, 100, 140, 115, 155, 120, 160, 106, 146, 118, 158, 104, 144, 89, 129)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 95)(6, 81)(7, 100)(8, 102)(9, 103)(10, 82)(11, 108)(12, 110)(13, 83)(14, 98)(15, 107)(16, 109)(17, 85)(18, 86)(19, 115)(20, 117)(21, 87)(22, 106)(23, 114)(24, 116)(25, 89)(26, 90)(27, 113)(28, 112)(29, 91)(30, 111)(31, 93)(32, 96)(33, 97)(34, 120)(35, 119)(36, 99)(37, 118)(38, 101)(39, 104)(40, 105)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 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 selfdual
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.727 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 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, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y3^-5, Y3^5, Y3^-2 * Y2^-4, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 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, 37, 77)(28, 68, 35, 75)(29, 69, 40, 80)(30, 70, 34, 74)(31, 71, 39, 79)(32, 72, 38, 78)(33, 73, 36, 76)(81, 121, 83, 123, 91, 131, 107, 147, 98, 138, 111, 151, 113, 153, 95, 135, 84, 124, 92, 132, 108, 148, 97, 137, 86, 126, 93, 133, 109, 149, 112, 152, 94, 134, 110, 150, 96, 136, 85, 125)(82, 122, 87, 127, 99, 139, 114, 154, 106, 146, 118, 158, 120, 160, 103, 143, 88, 128, 100, 140, 115, 155, 105, 145, 90, 130, 101, 141, 116, 156, 119, 159, 102, 142, 117, 157, 104, 144, 89, 129)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 95)(6, 81)(7, 100)(8, 102)(9, 103)(10, 82)(11, 108)(12, 110)(13, 83)(14, 98)(15, 112)(16, 113)(17, 85)(18, 86)(19, 115)(20, 117)(21, 87)(22, 106)(23, 119)(24, 120)(25, 89)(26, 90)(27, 97)(28, 96)(29, 91)(30, 111)(31, 93)(32, 107)(33, 109)(34, 105)(35, 104)(36, 99)(37, 118)(38, 101)(39, 114)(40, 116)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.725
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.728 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 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, Y2^2 * Y3^-1, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y3^10 ]
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, 40, 80)(36, 76, 39, 79)(37, 77, 38, 78)(81, 121, 83, 123, 84, 124, 91, 131, 92, 132, 99, 139, 100, 140, 107, 147, 108, 148, 115, 155, 116, 156, 117, 157, 110, 150, 109, 149, 102, 142, 101, 141, 94, 134, 93, 133, 86, 126, 85, 125)(82, 122, 87, 127, 88, 128, 95, 135, 96, 136, 103, 143, 104, 144, 111, 151, 112, 152, 118, 158, 119, 159, 120, 160, 114, 154, 113, 153, 106, 146, 105, 145, 98, 138, 97, 137, 90, 130, 89, 129)
	L = (1, 84)(2, 88)(3, 91)(4, 92)(5, 83)(6, 81)(7, 95)(8, 96)(9, 87)(10, 82)(11, 99)(12, 100)(13, 85)(14, 86)(15, 103)(16, 104)(17, 89)(18, 90)(19, 107)(20, 108)(21, 93)(22, 94)(23, 111)(24, 112)(25, 97)(26, 98)(27, 115)(28, 116)(29, 101)(30, 102)(31, 118)(32, 119)(33, 105)(34, 106)(35, 117)(36, 110)(37, 109)(38, 120)(39, 114)(40, 113)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 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 selfdual
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.729 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 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, Y2^2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y3^10, (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, 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, 40, 80)(36, 76, 39, 79)(37, 77, 38, 78)(81, 121, 83, 123, 86, 126, 91, 131, 94, 134, 99, 139, 102, 142, 107, 147, 110, 150, 115, 155, 116, 156, 117, 157, 108, 148, 109, 149, 100, 140, 101, 141, 92, 132, 93, 133, 84, 124, 85, 125)(82, 122, 87, 127, 90, 130, 95, 135, 98, 138, 103, 143, 106, 146, 111, 151, 114, 154, 118, 158, 119, 159, 120, 160, 112, 152, 113, 153, 104, 144, 105, 145, 96, 136, 97, 137, 88, 128, 89, 129)
	L = (1, 84)(2, 88)(3, 85)(4, 92)(5, 93)(6, 81)(7, 89)(8, 96)(9, 97)(10, 82)(11, 83)(12, 100)(13, 101)(14, 86)(15, 87)(16, 104)(17, 105)(18, 90)(19, 91)(20, 108)(21, 109)(22, 94)(23, 95)(24, 112)(25, 113)(26, 98)(27, 99)(28, 116)(29, 117)(30, 102)(31, 103)(32, 119)(33, 120)(34, 106)(35, 107)(36, 110)(37, 115)(38, 111)(39, 114)(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, 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 E19.730
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.730 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 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, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, (Y3^-1 * Y1)^2, Y2 * Y3^-1 * Y2 * Y3^-2, Y2^-1 * Y3^-1 * Y2^-5 ]
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, 107, 147, 111, 151, 97, 137, 86, 126, 93, 133, 94, 134, 109, 149, 119, 159, 112, 152, 98, 138, 95, 135, 84, 124, 92, 132, 108, 148, 110, 150, 96, 136, 85, 125)(82, 122, 87, 127, 99, 139, 113, 153, 117, 157, 105, 145, 90, 130, 101, 141, 102, 142, 115, 155, 120, 160, 118, 158, 106, 146, 103, 143, 88, 128, 100, 140, 114, 154, 116, 156, 104, 144, 89, 129)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 95)(6, 81)(7, 100)(8, 102)(9, 103)(10, 82)(11, 108)(12, 109)(13, 83)(14, 91)(15, 93)(16, 98)(17, 85)(18, 86)(19, 114)(20, 115)(21, 87)(22, 99)(23, 101)(24, 106)(25, 89)(26, 90)(27, 110)(28, 119)(29, 107)(30, 112)(31, 96)(32, 97)(33, 116)(34, 120)(35, 113)(36, 118)(37, 104)(38, 105)(39, 111)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 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 E19.729
Graph:: bipartite
	v = 22 e = 80 f = 22
	degree seq :: [ 4^20, 40^2 ]

E19.731 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 20, 20})
Quotient :: edge^2
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = C10 x D8 (small group id <80, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-2, Y3 * Y1^2 * Y3 * Y1^-2, (Y3 * Y2^-1 * Y3 * Y2)^2, (Y3 * Y1^-1 * Y3 * Y1)^2, Y2 * Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-4 * Y2 * Y1^-1, Y2^4 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^20, Y1^20 ]
Map:: non-degenerate
	R = (1, 41, 4, 44)(2, 42, 6, 46)(3, 43, 8, 48)(5, 45, 12, 52)(7, 47, 16, 56)(9, 49, 18, 58)(10, 50, 19, 59)(11, 51, 21, 61)(13, 53, 23, 63)(14, 54, 24, 64)(15, 55, 26, 66)(17, 57, 28, 68)(20, 60, 30, 70)(22, 62, 32, 72)(25, 65, 34, 74)(27, 67, 36, 76)(29, 69, 38, 78)(31, 71, 40, 80)(33, 73, 39, 79)(35, 75, 37, 77)(81, 82, 85, 91, 100, 109, 117, 116, 108, 99, 104, 98, 103, 112, 120, 113, 105, 95, 87, 83)(84, 89, 92, 102, 110, 119, 115, 106, 97, 88, 94, 86, 93, 101, 111, 118, 114, 107, 96, 90)(121, 123, 127, 135, 145, 153, 160, 152, 143, 138, 144, 139, 148, 156, 157, 149, 140, 131, 125, 122)(124, 130, 136, 147, 154, 158, 151, 141, 133, 126, 134, 128, 137, 146, 155, 159, 150, 142, 132, 129)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E19.732
Graph:: simple bipartite
	v = 24 e = 80 f = 20
	degree seq :: [ 4^20, 20^4 ]

E19.732 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 20, 20})
Quotient :: loop^2
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = C10 x D8 (small group id <80, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-2, Y3 * Y1^2 * Y3 * Y1^-2, (Y3 * Y2^-1 * Y3 * Y2)^2, (Y3 * Y1^-1 * Y3 * Y1)^2, Y2 * Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-4 * Y2 * Y1^-1, Y2^4 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^20, Y1^20 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 6, 46, 86, 126)(3, 43, 83, 123, 8, 48, 88, 128)(5, 45, 85, 125, 12, 52, 92, 132)(7, 47, 87, 127, 16, 56, 96, 136)(9, 49, 89, 129, 18, 58, 98, 138)(10, 50, 90, 130, 19, 59, 99, 139)(11, 51, 91, 131, 21, 61, 101, 141)(13, 53, 93, 133, 23, 63, 103, 143)(14, 54, 94, 134, 24, 64, 104, 144)(15, 55, 95, 135, 26, 66, 106, 146)(17, 57, 97, 137, 28, 68, 108, 148)(20, 60, 100, 140, 30, 70, 110, 150)(22, 62, 102, 142, 32, 72, 112, 152)(25, 65, 105, 145, 34, 74, 114, 154)(27, 67, 107, 147, 36, 76, 116, 156)(29, 69, 109, 149, 38, 78, 118, 158)(31, 71, 111, 151, 40, 80, 120, 160)(33, 73, 113, 153, 39, 79, 119, 159)(35, 75, 115, 155, 37, 77, 117, 157)
	L = (1, 42)(2, 45)(3, 41)(4, 49)(5, 51)(6, 53)(7, 43)(8, 54)(9, 52)(10, 44)(11, 60)(12, 62)(13, 61)(14, 46)(15, 47)(16, 50)(17, 48)(18, 63)(19, 64)(20, 69)(21, 71)(22, 70)(23, 72)(24, 58)(25, 55)(26, 57)(27, 56)(28, 59)(29, 77)(30, 79)(31, 78)(32, 80)(33, 65)(34, 67)(35, 66)(36, 68)(37, 76)(38, 74)(39, 75)(40, 73)(81, 123)(82, 121)(83, 127)(84, 130)(85, 122)(86, 134)(87, 135)(88, 137)(89, 124)(90, 136)(91, 125)(92, 129)(93, 126)(94, 128)(95, 145)(96, 147)(97, 146)(98, 144)(99, 148)(100, 131)(101, 133)(102, 132)(103, 138)(104, 139)(105, 153)(106, 155)(107, 154)(108, 156)(109, 140)(110, 142)(111, 141)(112, 143)(113, 160)(114, 158)(115, 159)(116, 157)(117, 149)(118, 151)(119, 150)(120, 152)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.731
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 24
	degree seq :: [ 8^20 ]

E19.733 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 40, 40})
Quotient :: edge
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T1)^2, (F * T2)^2, T1^20, (T2^-1 * T1^-1)^40 ]
Map:: non-degenerate
	R = (1, 3, 2, 7, 6, 11, 10, 15, 14, 19, 18, 23, 22, 27, 26, 31, 30, 35, 34, 39, 38, 40, 36, 37, 32, 33, 28, 29, 24, 25, 20, 21, 16, 17, 12, 13, 8, 9, 4, 5)(41, 42, 46, 50, 54, 58, 62, 66, 70, 74, 78, 76, 72, 68, 64, 60, 56, 52, 48, 44)(43, 47, 51, 55, 59, 63, 67, 71, 75, 79, 80, 77, 73, 69, 65, 61, 57, 53, 49, 45)
	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) :: { ( 80^20 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.743
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 40 f = 1
	degree seq :: [ 20^2, 40 ]

E19.734 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 40, 40})
Quotient :: edge
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, T1 * T2^2, (F * T1)^2, (F * T2)^2, T1^20 ]
Map:: non-degenerate
	R = (1, 3, 4, 8, 9, 12, 13, 16, 17, 20, 21, 24, 25, 28, 29, 32, 33, 36, 37, 40, 38, 39, 34, 35, 30, 31, 26, 27, 22, 23, 18, 19, 14, 15, 10, 11, 6, 7, 2, 5)(41, 42, 46, 50, 54, 58, 62, 66, 70, 74, 78, 77, 73, 69, 65, 61, 57, 53, 49, 44)(43, 45, 47, 51, 55, 59, 63, 67, 71, 75, 79, 80, 76, 72, 68, 64, 60, 56, 52, 48)
	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) :: { ( 80^20 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.742
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 40 f = 1
	degree seq :: [ 20^2, 40 ]

E19.735 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 40, 40})
Quotient :: edge
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (T2^-1, T1), (F * T2)^2, T2^2 * T1^3, T2^12 * T1^-2, T1^2 * T2^-12, T1 * T2^-1 * T1 * T2^-11 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 22, 28, 34, 38, 32, 26, 20, 14, 6, 12, 4, 10, 17, 23, 29, 35, 39, 33, 27, 21, 15, 8, 2, 7, 11, 18, 24, 30, 36, 40, 37, 31, 25, 19, 13, 5)(41, 42, 46, 53, 55, 60, 65, 67, 72, 77, 79, 74, 76, 69, 62, 64, 57, 49, 51, 44)(43, 47, 52, 45, 48, 54, 59, 61, 66, 71, 73, 78, 80, 75, 68, 70, 63, 56, 58, 50)
	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) :: { ( 80^20 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.741
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 40 f = 1
	degree seq :: [ 20^2, 40 ]

E19.736 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 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), T2^-4 * T1 * T2^-2, T1^-4 * T2^2 * T1^-3, (T1^-1 * T2^-1)^40 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 18, 8, 2, 7, 17, 31, 30, 16, 6, 15, 29, 40, 34, 28, 14, 27, 39, 35, 22, 33, 26, 38, 36, 23, 11, 21, 32, 37, 24, 12, 4, 10, 20, 25, 13, 5)(41, 42, 46, 54, 66, 72, 60, 49, 57, 69, 79, 76, 64, 53, 58, 70, 74, 62, 51, 44)(43, 47, 55, 67, 78, 77, 65, 59, 71, 80, 75, 63, 52, 45, 48, 56, 68, 73, 61, 50)
	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) :: { ( 80^20 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.746
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 40 f = 1
	degree seq :: [ 20^2, 40 ]

E19.737 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 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, (T1, T2^-1), (F * T1)^2, T1^-2 * T2^-4, T1^9 * T2^-2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 11, 21, 28, 35, 30, 37, 31, 39, 34, 25, 14, 24, 18, 8, 2, 7, 17, 12, 4, 10, 20, 27, 22, 29, 36, 40, 38, 33, 23, 32, 26, 16, 6, 15, 13, 5)(41, 42, 46, 54, 63, 71, 76, 68, 60, 49, 57, 53, 58, 66, 74, 78, 70, 62, 51, 44)(43, 47, 55, 64, 72, 79, 80, 75, 67, 59, 52, 45, 48, 56, 65, 73, 77, 69, 61, 50)
	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) :: { ( 80^20 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.745
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 40 f = 1
	degree seq :: [ 20^2, 40 ]

E19.738 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 40, 40})
Quotient :: edge
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-3 * T1, T1^3 * T2 * T1 * T2 * T1^5, (T1^-1 * T2^-1)^40 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 6, 15, 26, 33, 23, 32, 36, 40, 38, 29, 20, 27, 22, 12, 4, 10, 18, 8, 2, 7, 17, 25, 14, 24, 34, 39, 31, 37, 28, 35, 30, 21, 11, 19, 13, 5)(41, 42, 46, 54, 63, 71, 78, 70, 62, 53, 58, 49, 57, 66, 74, 76, 68, 60, 51, 44)(43, 47, 55, 64, 72, 77, 69, 61, 52, 45, 48, 56, 65, 73, 79, 80, 75, 67, 59, 50)
	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) :: { ( 80^20 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.744
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 40 f = 1
	degree seq :: [ 20^2, 40 ]

E19.739 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 40, 40})
Quotient :: edge
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T2)^2, (F * T1)^2, T2^-13 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 40, 36, 30, 24, 18, 12, 6, 4, 10, 16, 22, 28, 34, 39, 35, 29, 23, 17, 11, 5)(41, 42, 46, 45, 48, 52, 51, 54, 58, 57, 60, 64, 63, 66, 70, 69, 72, 76, 75, 78, 80, 79, 73, 77, 74, 67, 71, 68, 61, 65, 62, 55, 59, 56, 49, 53, 50, 43, 47, 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) :: { ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E19.747
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.740 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 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), (F * T2)^2, (F * T1)^2, T1^-2 * T2^-1 * T1^-5, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-4, T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-3 * T2^2 * T1^-1 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 23, 11, 21, 35, 39, 28, 14, 27, 38, 32, 18, 8, 2, 7, 17, 31, 24, 12, 4, 10, 20, 34, 37, 26, 22, 36, 40, 30, 16, 6, 15, 29, 25, 13, 5)(41, 42, 46, 54, 66, 63, 52, 45, 48, 56, 68, 77, 73, 64, 53, 58, 70, 79, 74, 59, 71, 65, 72, 80, 75, 60, 49, 57, 69, 78, 76, 61, 50, 43, 47, 55, 67, 62, 51, 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) :: { ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E19.748
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.741 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 40, 40})
Quotient :: loop
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T1)^2, (F * T2)^2, T1^20, (T2^-1 * T1^-1)^40 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 2, 42, 7, 47, 6, 46, 11, 51, 10, 50, 15, 55, 14, 54, 19, 59, 18, 58, 23, 63, 22, 62, 27, 67, 26, 66, 31, 71, 30, 70, 35, 75, 34, 74, 39, 79, 38, 78, 40, 80, 36, 76, 37, 77, 32, 72, 33, 73, 28, 68, 29, 69, 24, 64, 25, 65, 20, 60, 21, 61, 16, 56, 17, 57, 12, 52, 13, 53, 8, 48, 9, 49, 4, 44, 5, 45)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 43)(6, 50)(7, 51)(8, 44)(9, 45)(10, 54)(11, 55)(12, 48)(13, 49)(14, 58)(15, 59)(16, 52)(17, 53)(18, 62)(19, 63)(20, 56)(21, 57)(22, 66)(23, 67)(24, 60)(25, 61)(26, 70)(27, 71)(28, 64)(29, 65)(30, 74)(31, 75)(32, 68)(33, 69)(34, 78)(35, 79)(36, 72)(37, 73)(38, 76)(39, 80)(40, 77)
	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, 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 E19.735
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 40 f = 3
	degree seq :: [ 80 ]

E19.742 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 40, 40})
Quotient :: loop
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, T1 * T2^2, (F * T1)^2, (F * T2)^2, T1^20 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 4, 44, 8, 48, 9, 49, 12, 52, 13, 53, 16, 56, 17, 57, 20, 60, 21, 61, 24, 64, 25, 65, 28, 68, 29, 69, 32, 72, 33, 73, 36, 76, 37, 77, 40, 80, 38, 78, 39, 79, 34, 74, 35, 75, 30, 70, 31, 71, 26, 66, 27, 67, 22, 62, 23, 63, 18, 58, 19, 59, 14, 54, 15, 55, 10, 50, 11, 51, 6, 46, 7, 47, 2, 42, 5, 45)
	L = (1, 42)(2, 46)(3, 45)(4, 41)(5, 47)(6, 50)(7, 51)(8, 43)(9, 44)(10, 54)(11, 55)(12, 48)(13, 49)(14, 58)(15, 59)(16, 52)(17, 53)(18, 62)(19, 63)(20, 56)(21, 57)(22, 66)(23, 67)(24, 60)(25, 61)(26, 70)(27, 71)(28, 64)(29, 65)(30, 74)(31, 75)(32, 68)(33, 69)(34, 78)(35, 79)(36, 72)(37, 73)(38, 77)(39, 80)(40, 76)
	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, 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 E19.734
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 40 f = 3
	degree seq :: [ 80 ]

E19.743 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 40, 40})
Quotient :: loop
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (T2^-1, T1), (F * T2)^2, T2^2 * T1^3, T2^12 * T1^-2, T1^2 * T2^-12, T1 * T2^-1 * T1 * T2^-11 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 16, 56, 22, 62, 28, 68, 34, 74, 38, 78, 32, 72, 26, 66, 20, 60, 14, 54, 6, 46, 12, 52, 4, 44, 10, 50, 17, 57, 23, 63, 29, 69, 35, 75, 39, 79, 33, 73, 27, 67, 21, 61, 15, 55, 8, 48, 2, 42, 7, 47, 11, 51, 18, 58, 24, 64, 30, 70, 36, 76, 40, 80, 37, 77, 31, 71, 25, 65, 19, 59, 13, 53, 5, 45)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 53)(7, 52)(8, 54)(9, 51)(10, 43)(11, 44)(12, 45)(13, 55)(14, 59)(15, 60)(16, 58)(17, 49)(18, 50)(19, 61)(20, 65)(21, 66)(22, 64)(23, 56)(24, 57)(25, 67)(26, 71)(27, 72)(28, 70)(29, 62)(30, 63)(31, 73)(32, 77)(33, 78)(34, 76)(35, 68)(36, 69)(37, 79)(38, 80)(39, 74)(40, 75)
	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, 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 E19.733
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 40 f = 3
	degree seq :: [ 80 ]

E19.744 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 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), T2^-4 * T1 * T2^-2, T1^-4 * T2^2 * T1^-3, (T1^-1 * T2^-1)^40 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 19, 59, 18, 58, 8, 48, 2, 42, 7, 47, 17, 57, 31, 71, 30, 70, 16, 56, 6, 46, 15, 55, 29, 69, 40, 80, 34, 74, 28, 68, 14, 54, 27, 67, 39, 79, 35, 75, 22, 62, 33, 73, 26, 66, 38, 78, 36, 76, 23, 63, 11, 51, 21, 61, 32, 72, 37, 77, 24, 64, 12, 52, 4, 44, 10, 50, 20, 60, 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, 68)(17, 69)(18, 70)(19, 71)(20, 49)(21, 50)(22, 51)(23, 52)(24, 53)(25, 59)(26, 72)(27, 78)(28, 73)(29, 79)(30, 74)(31, 80)(32, 60)(33, 61)(34, 62)(35, 63)(36, 64)(37, 65)(38, 77)(39, 76)(40, 75)
	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, 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 E19.738
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 40 f = 3
	degree seq :: [ 80 ]

E19.745 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 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, (T1, T2^-1), (F * T1)^2, T1^-2 * T2^-4, T1^9 * T2^-2 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 19, 59, 11, 51, 21, 61, 28, 68, 35, 75, 30, 70, 37, 77, 31, 71, 39, 79, 34, 74, 25, 65, 14, 54, 24, 64, 18, 58, 8, 48, 2, 42, 7, 47, 17, 57, 12, 52, 4, 44, 10, 50, 20, 60, 27, 67, 22, 62, 29, 69, 36, 76, 40, 80, 38, 78, 33, 73, 23, 63, 32, 72, 26, 66, 16, 56, 6, 46, 15, 55, 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, 63)(15, 64)(16, 65)(17, 53)(18, 66)(19, 52)(20, 49)(21, 50)(22, 51)(23, 71)(24, 72)(25, 73)(26, 74)(27, 59)(28, 60)(29, 61)(30, 62)(31, 76)(32, 79)(33, 77)(34, 78)(35, 67)(36, 68)(37, 69)(38, 70)(39, 80)(40, 75)
	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, 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 E19.737
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 40 f = 3
	degree seq :: [ 80 ]

E19.746 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 40, 40})
Quotient :: loop
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-3 * T1, T1^3 * T2 * T1 * T2 * T1^5, (T1^-1 * T2^-1)^40 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 16, 56, 6, 46, 15, 55, 26, 66, 33, 73, 23, 63, 32, 72, 36, 76, 40, 80, 38, 78, 29, 69, 20, 60, 27, 67, 22, 62, 12, 52, 4, 44, 10, 50, 18, 58, 8, 48, 2, 42, 7, 47, 17, 57, 25, 65, 14, 54, 24, 64, 34, 74, 39, 79, 31, 71, 37, 77, 28, 68, 35, 75, 30, 70, 21, 61, 11, 51, 19, 59, 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, 63)(15, 64)(16, 65)(17, 66)(18, 49)(19, 50)(20, 51)(21, 52)(22, 53)(23, 71)(24, 72)(25, 73)(26, 74)(27, 59)(28, 60)(29, 61)(30, 62)(31, 78)(32, 77)(33, 79)(34, 76)(35, 67)(36, 68)(37, 69)(38, 70)(39, 80)(40, 75)
	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, 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 E19.736
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 40 f = 3
	degree seq :: [ 80 ]

E19.747 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 40, 40})
Quotient :: loop
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2, (F * T2)^2, (F * T1)^2, T2^20, (T2^-1 * T1^-1)^40 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 7, 47, 11, 51, 15, 55, 19, 59, 23, 63, 27, 67, 31, 71, 35, 75, 39, 79, 37, 77, 33, 73, 29, 69, 25, 65, 21, 61, 17, 57, 13, 53, 9, 49, 5, 45)(2, 42, 6, 46, 10, 50, 14, 54, 18, 58, 22, 62, 26, 66, 30, 70, 34, 74, 38, 78, 40, 80, 36, 76, 32, 72, 28, 68, 24, 64, 20, 60, 16, 56, 12, 52, 8, 48, 4, 44)
	L = (1, 42)(2, 43)(3, 46)(4, 41)(5, 44)(6, 47)(7, 50)(8, 45)(9, 48)(10, 51)(11, 54)(12, 49)(13, 52)(14, 55)(15, 58)(16, 53)(17, 56)(18, 59)(19, 62)(20, 57)(21, 60)(22, 63)(23, 66)(24, 61)(25, 64)(26, 67)(27, 70)(28, 65)(29, 68)(30, 71)(31, 74)(32, 69)(33, 72)(34, 75)(35, 78)(36, 73)(37, 76)(38, 79)(39, 80)(40, 77)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E19.739
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.748 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 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), T1^4 * T2^-1 * T1^2, T2^6 * T1^-1 * T2 * T1^-1, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-3 * T1^-2, (T1^-1 * T2^-1)^40 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 19, 59, 31, 71, 28, 68, 16, 56, 6, 46, 15, 55, 27, 67, 39, 79, 35, 75, 23, 63, 11, 51, 21, 61, 33, 73, 37, 77, 25, 65, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 29, 69, 40, 80, 34, 74, 22, 62, 14, 54, 26, 66, 38, 78, 36, 76, 24, 64, 12, 52, 4, 44, 10, 50, 20, 60, 32, 72, 30, 70, 18, 58, 8, 48)
	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, 61)(15, 66)(16, 62)(17, 67)(18, 68)(19, 69)(20, 49)(21, 50)(22, 51)(23, 52)(24, 53)(25, 70)(26, 73)(27, 78)(28, 74)(29, 79)(30, 71)(31, 80)(32, 59)(33, 60)(34, 63)(35, 64)(36, 65)(37, 72)(38, 77)(39, 76)(40, 75)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E19.740
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.749 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^20, Y1^20 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 10, 50, 14, 54, 18, 58, 22, 62, 26, 66, 30, 70, 34, 74, 38, 78, 37, 77, 33, 73, 29, 69, 25, 65, 21, 61, 17, 57, 13, 53, 9, 49, 4, 44)(3, 43, 5, 45, 7, 47, 11, 51, 15, 55, 19, 59, 23, 63, 27, 67, 31, 71, 35, 75, 39, 79, 40, 80, 36, 76, 32, 72, 28, 68, 24, 64, 20, 60, 16, 56, 12, 52, 8, 48)(81, 121, 83, 123, 84, 124, 88, 128, 89, 129, 92, 132, 93, 133, 96, 136, 97, 137, 100, 140, 101, 141, 104, 144, 105, 145, 108, 148, 109, 149, 112, 152, 113, 153, 116, 156, 117, 157, 120, 160, 118, 158, 119, 159, 114, 154, 115, 155, 110, 150, 111, 151, 106, 146, 107, 147, 102, 142, 103, 143, 98, 138, 99, 139, 94, 134, 95, 135, 90, 130, 91, 131, 86, 126, 87, 127, 82, 122, 85, 125)
	L = (1, 84)(2, 81)(3, 88)(4, 89)(5, 83)(6, 82)(7, 85)(8, 92)(9, 93)(10, 86)(11, 87)(12, 96)(13, 97)(14, 90)(15, 91)(16, 100)(17, 101)(18, 94)(19, 95)(20, 104)(21, 105)(22, 98)(23, 99)(24, 108)(25, 109)(26, 102)(27, 103)(28, 112)(29, 113)(30, 106)(31, 107)(32, 116)(33, 117)(34, 110)(35, 111)(36, 120)(37, 118)(38, 114)(39, 115)(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, 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 E19.760
Graph:: bipartite
	v = 3 e = 80 f = 41
	degree seq :: [ 40^2, 80 ]

E19.750 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^-9 * Y1^11, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 41, 2, 42, 6, 46, 10, 50, 14, 54, 18, 58, 22, 62, 26, 66, 30, 70, 34, 74, 38, 78, 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, 37, 77, 33, 73, 29, 69, 25, 65, 21, 61, 17, 57, 13, 53, 9, 49, 5, 45)(81, 121, 83, 123, 82, 122, 87, 127, 86, 126, 91, 131, 90, 130, 95, 135, 94, 134, 99, 139, 98, 138, 103, 143, 102, 142, 107, 147, 106, 146, 111, 151, 110, 150, 115, 155, 114, 154, 119, 159, 118, 158, 120, 160, 116, 156, 117, 157, 112, 152, 113, 153, 108, 148, 109, 149, 104, 144, 105, 145, 100, 140, 101, 141, 96, 136, 97, 137, 92, 132, 93, 133, 88, 128, 89, 129, 84, 124, 85, 125)
	L = (1, 84)(2, 81)(3, 85)(4, 88)(5, 89)(6, 82)(7, 83)(8, 92)(9, 93)(10, 86)(11, 87)(12, 96)(13, 97)(14, 90)(15, 91)(16, 100)(17, 101)(18, 94)(19, 95)(20, 104)(21, 105)(22, 98)(23, 99)(24, 108)(25, 109)(26, 102)(27, 103)(28, 112)(29, 113)(30, 106)(31, 107)(32, 116)(33, 117)(34, 110)(35, 111)(36, 118)(37, 120)(38, 114)(39, 115)(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, 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 E19.761
Graph:: bipartite
	v = 3 e = 80 f = 41
	degree seq :: [ 40^2, 80 ]

E19.751 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2, Y1^-1), Y2^-3 * Y1 * Y2^-3, Y3^3 * Y2 * Y1^-1 * Y2 * Y1^-3, Y1^5 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y3 * Y2 * Y3 * Y2^2 * Y3^2 * Y2^2 * Y3^2 * 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 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 32, 72, 20, 60, 9, 49, 17, 57, 29, 69, 39, 79, 36, 76, 24, 64, 13, 53, 18, 58, 30, 70, 34, 74, 22, 62, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 27, 67, 38, 78, 37, 77, 25, 65, 19, 59, 31, 71, 40, 80, 35, 75, 23, 63, 12, 52, 5, 45, 8, 48, 16, 56, 28, 68, 33, 73, 21, 61, 10, 50)(81, 121, 83, 123, 89, 129, 99, 139, 98, 138, 88, 128, 82, 122, 87, 127, 97, 137, 111, 151, 110, 150, 96, 136, 86, 126, 95, 135, 109, 149, 120, 160, 114, 154, 108, 148, 94, 134, 107, 147, 119, 159, 115, 155, 102, 142, 113, 153, 106, 146, 118, 158, 116, 156, 103, 143, 91, 131, 101, 141, 112, 152, 117, 157, 104, 144, 92, 132, 84, 124, 90, 130, 100, 140, 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, 105)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 94)(27, 95)(28, 96)(29, 97)(30, 98)(31, 99)(32, 106)(33, 108)(34, 110)(35, 120)(36, 119)(37, 118)(38, 107)(39, 109)(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, 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, 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 E19.764
Graph:: bipartite
	v = 3 e = 80 f = 41
	degree seq :: [ 40^2, 80 ]

E19.752 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (Y2^-1, Y1), (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y2^2 * Y1 * Y3^-2, Y2^12 * Y1^-2, Y1^20, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 41, 2, 42, 6, 46, 13, 53, 15, 55, 20, 60, 25, 65, 27, 67, 32, 72, 37, 77, 39, 79, 34, 74, 36, 76, 29, 69, 22, 62, 24, 64, 17, 57, 9, 49, 11, 51, 4, 44)(3, 43, 7, 47, 12, 52, 5, 45, 8, 48, 14, 54, 19, 59, 21, 61, 26, 66, 31, 71, 33, 73, 38, 78, 40, 80, 35, 75, 28, 68, 30, 70, 23, 63, 16, 56, 18, 58, 10, 50)(81, 121, 83, 123, 89, 129, 96, 136, 102, 142, 108, 148, 114, 154, 118, 158, 112, 152, 106, 146, 100, 140, 94, 134, 86, 126, 92, 132, 84, 124, 90, 130, 97, 137, 103, 143, 109, 149, 115, 155, 119, 159, 113, 153, 107, 147, 101, 141, 95, 135, 88, 128, 82, 122, 87, 127, 91, 131, 98, 138, 104, 144, 110, 150, 116, 156, 120, 160, 117, 157, 111, 151, 105, 145, 99, 139, 93, 133, 85, 125)
	L = (1, 84)(2, 81)(3, 90)(4, 91)(5, 92)(6, 82)(7, 83)(8, 85)(9, 97)(10, 98)(11, 89)(12, 87)(13, 86)(14, 88)(15, 93)(16, 103)(17, 104)(18, 96)(19, 94)(20, 95)(21, 99)(22, 109)(23, 110)(24, 102)(25, 100)(26, 101)(27, 105)(28, 115)(29, 116)(30, 108)(31, 106)(32, 107)(33, 111)(34, 119)(35, 120)(36, 114)(37, 112)(38, 113)(39, 117)(40, 118)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 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, 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 E19.759
Graph:: bipartite
	v = 3 e = 80 f = 41
	degree seq :: [ 40^2, 80 ]

E19.753 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y2 * Y3 * Y2^-1 * Y1, (R * Y1)^2, Y2 * Y1^-1 * Y2^3 * Y1^-1, Y1^3 * Y2 * Y1^2 * Y3^-1 * Y2 * Y3^-3, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y1^-2 * Y2^-2 * Y3 * Y1^-2 * Y2^-2, (Y2^-1 * Y1^-1)^40 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 23, 63, 31, 71, 38, 78, 30, 70, 22, 62, 13, 53, 18, 58, 9, 49, 17, 57, 26, 66, 34, 74, 36, 76, 28, 68, 20, 60, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 24, 64, 32, 72, 37, 77, 29, 69, 21, 61, 12, 52, 5, 45, 8, 48, 16, 56, 25, 65, 33, 73, 39, 79, 40, 80, 35, 75, 27, 67, 19, 59, 10, 50)(81, 121, 83, 123, 89, 129, 96, 136, 86, 126, 95, 135, 106, 146, 113, 153, 103, 143, 112, 152, 116, 156, 120, 160, 118, 158, 109, 149, 100, 140, 107, 147, 102, 142, 92, 132, 84, 124, 90, 130, 98, 138, 88, 128, 82, 122, 87, 127, 97, 137, 105, 145, 94, 134, 104, 144, 114, 154, 119, 159, 111, 151, 117, 157, 108, 148, 115, 155, 110, 150, 101, 141, 91, 131, 99, 139, 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, 102)(14, 86)(15, 87)(16, 88)(17, 89)(18, 93)(19, 107)(20, 108)(21, 109)(22, 110)(23, 94)(24, 95)(25, 96)(26, 97)(27, 115)(28, 116)(29, 117)(30, 118)(31, 103)(32, 104)(33, 105)(34, 106)(35, 120)(36, 114)(37, 112)(38, 111)(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, 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 E19.762
Graph:: bipartite
	v = 3 e = 80 f = 41
	degree seq :: [ 40^2, 80 ]

E19.754 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 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, Y3 * Y1, Y3 * Y1, Y3 * Y2^-1 * Y1 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2^-4 * Y1^-1, Y1^4 * Y2^-1 * Y1 * Y3^-4 * Y2^-1, Y1^3 * Y2^-1 * Y1 * Y2^-1 * Y3^-5, Y1^20, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 23, 63, 31, 71, 36, 76, 28, 68, 20, 60, 9, 49, 17, 57, 13, 53, 18, 58, 26, 66, 34, 74, 38, 78, 30, 70, 22, 62, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 24, 64, 32, 72, 39, 79, 40, 80, 35, 75, 27, 67, 19, 59, 12, 52, 5, 45, 8, 48, 16, 56, 25, 65, 33, 73, 37, 77, 29, 69, 21, 61, 10, 50)(81, 121, 83, 123, 89, 129, 99, 139, 91, 131, 101, 141, 108, 148, 115, 155, 110, 150, 117, 157, 111, 151, 119, 159, 114, 154, 105, 145, 94, 134, 104, 144, 98, 138, 88, 128, 82, 122, 87, 127, 97, 137, 92, 132, 84, 124, 90, 130, 100, 140, 107, 147, 102, 142, 109, 149, 116, 156, 120, 160, 118, 158, 113, 153, 103, 143, 112, 152, 106, 146, 96, 136, 86, 126, 95, 135, 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, 99)(13, 97)(14, 86)(15, 87)(16, 88)(17, 89)(18, 93)(19, 107)(20, 108)(21, 109)(22, 110)(23, 94)(24, 95)(25, 96)(26, 98)(27, 115)(28, 116)(29, 117)(30, 118)(31, 103)(32, 104)(33, 105)(34, 106)(35, 120)(36, 111)(37, 113)(38, 114)(39, 112)(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, 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 E19.763
Graph:: bipartite
	v = 3 e = 80 f = 41
	degree seq :: [ 40^2, 80 ]

E19.755 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y2^-3 * Y1^-1, R * Y2 * R * Y3, (R * Y1)^2, Y2 * Y1^-13, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 12, 52, 18, 58, 24, 64, 30, 70, 36, 76, 34, 74, 28, 68, 22, 62, 16, 56, 10, 50, 3, 43, 7, 47, 13, 53, 19, 59, 25, 65, 31, 71, 37, 77, 40, 80, 39, 79, 33, 73, 27, 67, 21, 61, 15, 55, 9, 49, 5, 45, 8, 48, 14, 54, 20, 60, 26, 66, 32, 72, 38, 78, 35, 75, 29, 69, 23, 63, 17, 57, 11, 51, 4, 44)(81, 121, 83, 123, 89, 129, 84, 124, 90, 130, 95, 135, 91, 131, 96, 136, 101, 141, 97, 137, 102, 142, 107, 147, 103, 143, 108, 148, 113, 153, 109, 149, 114, 154, 119, 159, 115, 155, 116, 156, 120, 160, 118, 158, 110, 150, 117, 157, 112, 152, 104, 144, 111, 151, 106, 146, 98, 138, 105, 145, 100, 140, 92, 132, 99, 139, 94, 134, 86, 126, 93, 133, 88, 128, 82, 122, 87, 127, 85, 125)
	L = (1, 83)(2, 87)(3, 89)(4, 90)(5, 81)(6, 93)(7, 85)(8, 82)(9, 84)(10, 95)(11, 96)(12, 99)(13, 88)(14, 86)(15, 91)(16, 101)(17, 102)(18, 105)(19, 94)(20, 92)(21, 97)(22, 107)(23, 108)(24, 111)(25, 100)(26, 98)(27, 103)(28, 113)(29, 114)(30, 117)(31, 106)(32, 104)(33, 109)(34, 119)(35, 116)(36, 120)(37, 112)(38, 110)(39, 115)(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) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E19.757
Graph:: bipartite
	v = 2 e = 80 f = 42
	degree seq :: [ 80^2 ]

E19.756 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 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, Y1), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1), Y2 * Y1^-1 * Y2^-2 * Y1 * Y2, Y2^-7 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-4, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 24, 64, 13, 53, 18, 58, 30, 70, 38, 78, 34, 74, 19, 59, 31, 71, 39, 79, 36, 76, 21, 61, 10, 50, 3, 43, 7, 47, 15, 55, 27, 67, 23, 63, 12, 52, 5, 45, 8, 48, 16, 56, 28, 68, 37, 77, 33, 73, 25, 65, 32, 72, 40, 80, 35, 75, 20, 60, 9, 49, 17, 57, 29, 69, 22, 62, 11, 51, 4, 44)(81, 121, 83, 123, 89, 129, 99, 139, 113, 153, 104, 144, 92, 132, 84, 124, 90, 130, 100, 140, 114, 154, 117, 157, 106, 146, 103, 143, 91, 131, 101, 141, 115, 155, 118, 158, 108, 148, 94, 134, 107, 147, 102, 142, 116, 156, 120, 160, 110, 150, 96, 136, 86, 126, 95, 135, 109, 149, 119, 159, 112, 152, 98, 138, 88, 128, 82, 122, 87, 127, 97, 137, 111, 151, 105, 145, 93, 133, 85, 125)
	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, 107)(15, 109)(16, 86)(17, 111)(18, 88)(19, 113)(20, 114)(21, 115)(22, 116)(23, 91)(24, 92)(25, 93)(26, 103)(27, 102)(28, 94)(29, 119)(30, 96)(31, 105)(32, 98)(33, 104)(34, 117)(35, 118)(36, 120)(37, 106)(38, 108)(39, 112)(40, 110)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E19.758
Graph:: bipartite
	v = 2 e = 80 f = 42
	degree seq :: [ 80^2 ]

E19.757 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^20, (Y3^-1 * Y1^-1)^40, (Y3 * Y2^-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, 90, 130, 94, 134, 98, 138, 102, 142, 106, 146, 110, 150, 114, 154, 118, 158, 117, 157, 113, 153, 109, 149, 105, 145, 101, 141, 97, 137, 93, 133, 89, 129, 84, 124)(83, 123, 85, 125, 87, 127, 91, 131, 95, 135, 99, 139, 103, 143, 107, 147, 111, 151, 115, 155, 119, 159, 120, 160, 116, 156, 112, 152, 108, 148, 104, 144, 100, 140, 96, 136, 92, 132, 88, 128)
	L = (1, 83)(2, 85)(3, 84)(4, 88)(5, 81)(6, 87)(7, 82)(8, 89)(9, 92)(10, 91)(11, 86)(12, 93)(13, 96)(14, 95)(15, 90)(16, 97)(17, 100)(18, 99)(19, 94)(20, 101)(21, 104)(22, 103)(23, 98)(24, 105)(25, 108)(26, 107)(27, 102)(28, 109)(29, 112)(30, 111)(31, 106)(32, 113)(33, 116)(34, 115)(35, 110)(36, 117)(37, 120)(38, 119)(39, 114)(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) :: { ( 80, 80 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.755
Graph:: simple bipartite
	v = 42 e = 80 f = 2
	degree seq :: [ 2^40, 40^2 ]

E19.758 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-4 * Y2^-1 * Y3^-2, Y2^5 * Y3^2 * Y2^2, Y2^-1 * Y3 * Y2^-2 * Y3^3 * 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 * Y3^2, (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, 106, 146, 117, 157, 104, 144, 93, 133, 98, 138, 110, 150, 119, 159, 113, 153, 100, 140, 89, 129, 97, 137, 109, 149, 115, 155, 102, 142, 91, 131, 84, 124)(83, 123, 87, 127, 95, 135, 107, 147, 116, 156, 103, 143, 92, 132, 85, 125, 88, 128, 96, 136, 108, 148, 118, 158, 112, 152, 99, 139, 105, 145, 111, 151, 120, 160, 114, 154, 101, 141, 90, 130)
	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, 107)(15, 109)(16, 86)(17, 105)(18, 88)(19, 104)(20, 112)(21, 113)(22, 114)(23, 91)(24, 92)(25, 93)(26, 116)(27, 115)(28, 94)(29, 111)(30, 96)(31, 98)(32, 117)(33, 118)(34, 119)(35, 120)(36, 102)(37, 103)(38, 106)(39, 108)(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) :: { ( 80, 80 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.756
Graph:: simple bipartite
	v = 42 e = 80 f = 2
	degree seq :: [ 2^40, 40^2 ]

E19.759 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^20, (Y3 * Y2^-1)^20, (Y3^-1 * Y1^-1)^40 ]
Map::
	R = (1, 41, 2, 42, 3, 43, 6, 46, 7, 47, 10, 50, 11, 51, 14, 54, 15, 55, 18, 58, 19, 59, 22, 62, 23, 63, 26, 66, 27, 67, 30, 70, 31, 71, 34, 74, 35, 75, 38, 78, 39, 79, 40, 80, 37, 77, 36, 76, 33, 73, 32, 72, 29, 69, 28, 68, 25, 65, 24, 64, 21, 61, 20, 60, 17, 57, 16, 56, 13, 53, 12, 52, 9, 49, 8, 48, 5, 45, 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, 86)(3, 87)(4, 82)(5, 81)(6, 90)(7, 91)(8, 84)(9, 85)(10, 94)(11, 95)(12, 88)(13, 89)(14, 98)(15, 99)(16, 92)(17, 93)(18, 102)(19, 103)(20, 96)(21, 97)(22, 106)(23, 107)(24, 100)(25, 101)(26, 110)(27, 111)(28, 104)(29, 105)(30, 114)(31, 115)(32, 108)(33, 109)(34, 118)(35, 119)(36, 112)(37, 113)(38, 120)(39, 117)(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) :: { ( 40, 80 ), ( 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80 ) }
Outer automorphisms :: reflexible
Dual of E19.752
Graph:: bipartite
	v = 41 e = 80 f = 3
	degree seq :: [ 2^40, 80 ]

E19.760 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3 * Y1^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^20, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 41, 2, 42, 5, 45, 6, 46, 9, 49, 10, 50, 13, 53, 14, 54, 17, 57, 18, 58, 21, 61, 22, 62, 25, 65, 26, 66, 29, 69, 30, 70, 33, 73, 34, 74, 37, 77, 38, 78, 39, 79, 40, 80, 35, 75, 36, 76, 31, 71, 32, 72, 27, 67, 28, 68, 23, 63, 24, 64, 19, 59, 20, 60, 15, 55, 16, 56, 11, 51, 12, 52, 7, 47, 8, 48, 3, 43, 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, 84)(3, 87)(4, 88)(5, 81)(6, 82)(7, 91)(8, 92)(9, 85)(10, 86)(11, 95)(12, 96)(13, 89)(14, 90)(15, 99)(16, 100)(17, 93)(18, 94)(19, 103)(20, 104)(21, 97)(22, 98)(23, 107)(24, 108)(25, 101)(26, 102)(27, 111)(28, 112)(29, 105)(30, 106)(31, 115)(32, 116)(33, 109)(34, 110)(35, 119)(36, 120)(37, 113)(38, 114)(39, 117)(40, 118)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 80 ), ( 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80 ) }
Outer automorphisms :: reflexible
Dual of E19.749
Graph:: bipartite
	v = 41 e = 80 f = 3
	degree seq :: [ 2^40, 80 ]

E19.761 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 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, (Y3^-1, Y1^-1), (R * Y3)^2, Y3 * Y1^2 * Y3^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-5 * Y3^-1 * Y1^5, Y3^2 * Y1^-12, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 20, 60, 26, 66, 32, 72, 38, 78, 35, 75, 29, 69, 23, 63, 17, 57, 9, 49, 12, 52, 5, 45, 8, 48, 15, 55, 21, 61, 27, 67, 33, 73, 39, 79, 36, 76, 30, 70, 24, 64, 18, 58, 10, 50, 3, 43, 7, 47, 13, 53, 16, 56, 22, 62, 28, 68, 34, 74, 40, 80, 37, 77, 31, 71, 25, 65, 19, 59, 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, 93)(7, 92)(8, 82)(9, 91)(10, 97)(11, 98)(12, 84)(13, 85)(14, 96)(15, 86)(16, 88)(17, 99)(18, 103)(19, 104)(20, 102)(21, 94)(22, 95)(23, 105)(24, 109)(25, 110)(26, 108)(27, 100)(28, 101)(29, 111)(30, 115)(31, 116)(32, 114)(33, 106)(34, 107)(35, 117)(36, 118)(37, 119)(38, 120)(39, 112)(40, 113)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 80 ), ( 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80 ) }
Outer automorphisms :: reflexible
Dual of E19.750
Graph:: bipartite
	v = 41 e = 80 f = 3
	degree seq :: [ 2^40, 80 ]

E19.762 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 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, Y1^-1), (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^5, Y3^-5 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3^-3 * Y1^-1 * Y3^-3 * Y1^-3, (Y3 * Y2^-1)^20, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * 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, 41, 2, 42, 6, 46, 14, 54, 21, 61, 10, 50, 3, 43, 7, 47, 15, 55, 26, 66, 33, 73, 20, 60, 9, 49, 17, 57, 27, 67, 38, 78, 37, 77, 32, 72, 19, 59, 29, 69, 39, 79, 36, 76, 25, 65, 30, 70, 31, 71, 40, 80, 35, 75, 24, 64, 13, 53, 18, 58, 28, 68, 34, 74, 23, 63, 12, 52, 5, 45, 8, 48, 16, 56, 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, 109)(18, 88)(19, 111)(20, 112)(21, 113)(22, 94)(23, 91)(24, 92)(25, 93)(26, 118)(27, 119)(28, 96)(29, 120)(30, 98)(31, 108)(32, 110)(33, 117)(34, 102)(35, 103)(36, 104)(37, 105)(38, 116)(39, 115)(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) :: { ( 40, 80 ), ( 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80 ) }
Outer automorphisms :: reflexible
Dual of E19.753
Graph:: bipartite
	v = 41 e = 80 f = 3
	degree seq :: [ 2^40, 80 ]

E19.763 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 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, (Y3, Y1), (R * Y1)^2, Y3^-2 * Y1^-4, (R * Y2 * Y3^-1)^2, Y3^-9 * Y1^2, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 13, 53, 18, 58, 24, 64, 31, 71, 30, 70, 34, 74, 35, 75, 40, 80, 37, 77, 28, 68, 19, 59, 25, 65, 21, 61, 10, 50, 3, 43, 7, 47, 15, 55, 12, 52, 5, 45, 8, 48, 16, 56, 23, 63, 22, 62, 26, 66, 32, 72, 39, 79, 38, 78, 36, 76, 27, 67, 33, 73, 29, 69, 20, 60, 9, 49, 17, 57, 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, 92)(15, 91)(16, 86)(17, 105)(18, 88)(19, 107)(20, 108)(21, 109)(22, 93)(23, 94)(24, 96)(25, 113)(26, 98)(27, 115)(28, 116)(29, 117)(30, 102)(31, 103)(32, 104)(33, 120)(34, 106)(35, 112)(36, 114)(37, 118)(38, 110)(39, 111)(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) :: { ( 40, 80 ), ( 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80 ) }
Outer automorphisms :: reflexible
Dual of E19.754
Graph:: bipartite
	v = 41 e = 80 f = 3
	degree seq :: [ 2^40, 80 ]

E19.764 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 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), Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^3 * Y1 * Y3^5, Y3^2 * Y1^-1 * Y3^-3 * Y1^-2 * Y3^-3 * Y1^-2 * Y3^-3 * Y1^-1, (Y3 * Y2^-1)^20, (Y1^-1 * Y3^-1)^40 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 9, 49, 17, 57, 24, 64, 31, 71, 27, 67, 33, 73, 38, 78, 40, 80, 36, 76, 29, 69, 22, 62, 26, 66, 20, 60, 12, 52, 5, 45, 8, 48, 16, 56, 10, 50, 3, 43, 7, 47, 15, 55, 23, 63, 19, 59, 25, 65, 32, 72, 39, 79, 35, 75, 37, 77, 30, 70, 34, 74, 28, 68, 21, 61, 13, 53, 18, 58, 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, 94)(11, 96)(12, 84)(13, 85)(14, 103)(15, 104)(16, 86)(17, 105)(18, 88)(19, 107)(20, 91)(21, 92)(22, 93)(23, 111)(24, 112)(25, 113)(26, 98)(27, 115)(28, 100)(29, 101)(30, 102)(31, 119)(32, 118)(33, 117)(34, 106)(35, 116)(36, 108)(37, 109)(38, 110)(39, 120)(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) :: { ( 40, 80 ), ( 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80 ) }
Outer automorphisms :: reflexible
Dual of E19.751
Graph:: bipartite
	v = 41 e = 80 f = 3
	degree seq :: [ 2^40, 80 ]

E19.765 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 7})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y1)^2, (R * Y2)^2, (Y3 * Y1)^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 6, 48)(4, 46, 10, 52)(5, 47, 8, 50)(7, 49, 13, 55)(9, 51, 15, 57)(11, 53, 17, 59)(12, 54, 18, 60)(14, 56, 20, 62)(16, 58, 22, 64)(19, 61, 25, 67)(21, 63, 27, 69)(23, 65, 29, 71)(24, 66, 30, 72)(26, 68, 32, 74)(28, 70, 34, 76)(31, 73, 37, 79)(33, 75, 39, 81)(35, 77, 40, 82)(36, 78, 41, 83)(38, 80, 42, 84)(85, 127, 87, 129, 89, 131)(86, 128, 90, 132, 92, 134)(88, 130, 93, 135, 95, 137)(91, 133, 96, 138, 98, 140)(94, 136, 99, 141, 101, 143)(97, 139, 102, 144, 104, 146)(100, 142, 105, 147, 107, 149)(103, 145, 108, 150, 110, 152)(106, 148, 111, 153, 113, 155)(109, 151, 114, 156, 116, 158)(112, 154, 117, 159, 119, 161)(115, 157, 120, 162, 122, 164)(118, 160, 123, 165, 124, 166)(121, 163, 125, 167, 126, 168)
	L = (1, 88)(2, 91)(3, 93)(4, 85)(5, 95)(6, 96)(7, 86)(8, 98)(9, 87)(10, 100)(11, 89)(12, 90)(13, 103)(14, 92)(15, 105)(16, 94)(17, 107)(18, 108)(19, 97)(20, 110)(21, 99)(22, 112)(23, 101)(24, 102)(25, 115)(26, 104)(27, 117)(28, 106)(29, 119)(30, 120)(31, 109)(32, 122)(33, 111)(34, 121)(35, 113)(36, 114)(37, 118)(38, 116)(39, 125)(40, 126)(41, 123)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 12, 14, 12, 14 ), ( 12, 14, 12, 14, 12, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.768
Graph:: simple bipartite
	v = 35 e = 84 f = 13
	degree seq :: [ 4^21, 6^14 ]

E19.766 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 7})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, Y2 * Y1^-1 * Y2, (Y1 * Y2)^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^7 ]
Map:: polytopal non-degenerate
	R = (1, 43, 2, 44, 5, 47)(3, 45, 8, 50, 6, 48)(4, 46, 9, 51, 7, 49)(10, 52, 14, 56, 11, 53)(12, 54, 15, 57, 13, 55)(16, 58, 18, 60, 17, 59)(19, 61, 21, 63, 20, 62)(22, 64, 24, 66, 23, 65)(25, 67, 27, 69, 26, 68)(28, 70, 30, 72, 29, 71)(31, 73, 33, 75, 32, 74)(34, 76, 36, 78, 35, 77)(37, 79, 39, 81, 38, 80)(40, 82, 42, 84, 41, 83)(85, 127, 87, 129, 86, 128, 92, 134, 89, 131, 90, 132)(88, 130, 96, 138, 93, 135, 99, 141, 91, 133, 97, 139)(94, 136, 100, 142, 98, 140, 102, 144, 95, 137, 101, 143)(103, 145, 109, 151, 105, 147, 111, 153, 104, 146, 110, 152)(106, 148, 112, 154, 108, 150, 114, 156, 107, 149, 113, 155)(115, 157, 121, 163, 117, 159, 123, 165, 116, 158, 122, 164)(118, 160, 124, 166, 120, 162, 126, 168, 119, 161, 125, 167)
	L = (1, 88)(2, 93)(3, 94)(4, 86)(5, 91)(6, 95)(7, 85)(8, 98)(9, 89)(10, 92)(11, 87)(12, 103)(13, 104)(14, 90)(15, 105)(16, 106)(17, 107)(18, 108)(19, 99)(20, 96)(21, 97)(22, 102)(23, 100)(24, 101)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 111)(32, 109)(33, 110)(34, 114)(35, 112)(36, 113)(37, 124)(38, 125)(39, 126)(40, 123)(41, 121)(42, 122)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.767
Graph:: bipartite
	v = 21 e = 84 f = 27
	degree seq :: [ 6^14, 12^7 ]

E19.767 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 7})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3 * Y2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y1^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y1^7 ]
Map:: polytopal non-degenerate
	R = (1, 43, 2, 44, 7, 49, 17, 59, 27, 69, 15, 57, 5, 47)(3, 45, 11, 53, 23, 65, 34, 76, 29, 71, 18, 60, 8, 50)(4, 46, 14, 56, 26, 68, 37, 79, 30, 72, 19, 61, 9, 51)(6, 48, 16, 58, 28, 70, 38, 80, 31, 73, 20, 62, 10, 52)(12, 54, 21, 63, 32, 74, 39, 81, 41, 83, 35, 77, 24, 66)(13, 55, 22, 64, 33, 75, 40, 82, 42, 84, 36, 78, 25, 67)(85, 127, 87, 129)(86, 128, 92, 134)(88, 130, 96, 138)(89, 131, 95, 137)(90, 132, 97, 139)(91, 133, 102, 144)(93, 135, 105, 147)(94, 136, 106, 148)(98, 140, 108, 150)(99, 141, 107, 149)(100, 142, 109, 151)(101, 143, 113, 155)(103, 145, 116, 158)(104, 146, 117, 159)(110, 152, 119, 161)(111, 153, 118, 160)(112, 154, 120, 162)(114, 156, 123, 165)(115, 157, 124, 166)(121, 163, 125, 167)(122, 164, 126, 168)
	L = (1, 88)(2, 93)(3, 96)(4, 97)(5, 98)(6, 85)(7, 103)(8, 105)(9, 106)(10, 86)(11, 108)(12, 90)(13, 87)(14, 109)(15, 110)(16, 89)(17, 114)(18, 116)(19, 117)(20, 91)(21, 94)(22, 92)(23, 119)(24, 100)(25, 95)(26, 120)(27, 121)(28, 99)(29, 123)(30, 124)(31, 101)(32, 104)(33, 102)(34, 125)(35, 112)(36, 107)(37, 126)(38, 111)(39, 115)(40, 113)(41, 122)(42, 118)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.766
Graph:: simple bipartite
	v = 27 e = 84 f = 21
	degree seq :: [ 4^21, 14^6 ]

E19.768 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 7})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-2 * Y3 * Y1^-1, R * Y2 * R * Y2^-1, (Y2^-1 * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y3)^2, Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-2, Y2^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 4, 46, 9, 51, 5, 47)(3, 45, 10, 52, 17, 59, 12, 54, 21, 63, 13, 55)(6, 48, 8, 50, 18, 60, 14, 56, 20, 62, 15, 57)(11, 53, 22, 64, 29, 71, 24, 66, 33, 75, 25, 67)(16, 58, 19, 61, 30, 72, 26, 68, 32, 74, 27, 69)(23, 65, 34, 76, 39, 81, 35, 77, 42, 84, 36, 78)(28, 70, 31, 73, 40, 82, 37, 79, 41, 83, 38, 80)(85, 127, 87, 129, 95, 137, 107, 149, 112, 154, 100, 142, 90, 132)(86, 128, 92, 134, 103, 145, 115, 157, 118, 160, 106, 148, 94, 136)(88, 130, 98, 140, 110, 152, 121, 163, 119, 161, 108, 150, 96, 138)(89, 131, 99, 141, 111, 153, 122, 164, 120, 162, 109, 151, 97, 139)(91, 133, 101, 143, 113, 155, 123, 165, 124, 166, 114, 156, 102, 144)(93, 135, 105, 147, 117, 159, 126, 168, 125, 167, 116, 158, 104, 146)
	L = (1, 88)(2, 93)(3, 96)(4, 85)(5, 91)(6, 98)(7, 89)(8, 104)(9, 86)(10, 105)(11, 108)(12, 87)(13, 101)(14, 90)(15, 102)(16, 110)(17, 97)(18, 99)(19, 116)(20, 92)(21, 94)(22, 117)(23, 119)(24, 95)(25, 113)(26, 100)(27, 114)(28, 121)(29, 109)(30, 111)(31, 125)(32, 103)(33, 106)(34, 126)(35, 107)(36, 123)(37, 112)(38, 124)(39, 120)(40, 122)(41, 115)(42, 118)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 6, 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 E19.765
Graph:: bipartite
	v = 13 e = 84 f = 35
	degree seq :: [ 12^7, 14^6 ]

E19.769 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 7})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-3 * Y3, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 9, 51)(4, 46, 12, 54)(5, 47, 13, 55)(6, 48, 14, 56)(7, 49, 17, 59)(8, 50, 18, 60)(10, 52, 15, 57)(11, 53, 16, 58)(19, 61, 25, 67)(20, 62, 26, 68)(21, 63, 27, 69)(22, 64, 28, 70)(23, 65, 29, 71)(24, 66, 30, 72)(31, 73, 37, 79)(32, 74, 38, 80)(33, 75, 39, 81)(34, 76, 40, 82)(35, 77, 41, 83)(36, 78, 42, 84)(85, 127, 87, 129, 94, 136, 88, 130, 95, 137, 89, 131)(86, 128, 90, 132, 99, 141, 91, 133, 100, 142, 92, 134)(93, 135, 103, 145, 96, 138, 104, 146, 97, 139, 105, 147)(98, 140, 106, 148, 101, 143, 107, 149, 102, 144, 108, 150)(109, 151, 115, 157, 110, 152, 116, 158, 111, 153, 117, 159)(112, 154, 118, 160, 113, 155, 119, 161, 114, 156, 120, 162)(121, 163, 126, 168, 122, 164, 124, 166, 123, 165, 125, 167)
	L = (1, 88)(2, 91)(3, 95)(4, 85)(5, 94)(6, 100)(7, 86)(8, 99)(9, 104)(10, 89)(11, 87)(12, 105)(13, 103)(14, 107)(15, 92)(16, 90)(17, 108)(18, 106)(19, 97)(20, 93)(21, 96)(22, 102)(23, 98)(24, 101)(25, 116)(26, 117)(27, 115)(28, 119)(29, 120)(30, 118)(31, 111)(32, 109)(33, 110)(34, 114)(35, 112)(36, 113)(37, 124)(38, 125)(39, 126)(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) :: { ( 6, 14, 6, 14 ), ( 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.770
Graph:: bipartite
	v = 28 e = 84 f = 20
	degree seq :: [ 4^21, 12^7 ]

E19.770 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 7})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, Y2^-1 * Y3^-1 * Y2^-1 * Y3, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y2^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 5, 47)(3, 45, 8, 50, 13, 55)(4, 46, 9, 51, 7, 49)(6, 48, 10, 52, 16, 58)(11, 53, 19, 61, 25, 67)(12, 54, 20, 62, 14, 56)(15, 57, 21, 63, 18, 60)(17, 59, 22, 64, 28, 70)(23, 65, 31, 73, 36, 78)(24, 66, 32, 74, 26, 68)(27, 69, 33, 75, 30, 72)(29, 71, 34, 76, 39, 81)(35, 77, 41, 83, 37, 79)(38, 80, 42, 84, 40, 82)(85, 127, 87, 129, 95, 137, 107, 149, 113, 155, 101, 143, 90, 132)(86, 128, 92, 134, 103, 145, 115, 157, 118, 160, 106, 148, 94, 136)(88, 130, 99, 141, 111, 153, 122, 164, 119, 161, 108, 150, 96, 138)(89, 131, 97, 139, 109, 151, 120, 162, 123, 165, 112, 154, 100, 142)(91, 133, 102, 144, 114, 156, 124, 166, 121, 163, 110, 152, 98, 140)(93, 135, 105, 147, 117, 159, 126, 168, 125, 167, 116, 158, 104, 146)
	L = (1, 88)(2, 93)(3, 96)(4, 86)(5, 91)(6, 99)(7, 85)(8, 104)(9, 89)(10, 105)(11, 108)(12, 92)(13, 98)(14, 87)(15, 94)(16, 102)(17, 111)(18, 90)(19, 116)(20, 97)(21, 100)(22, 117)(23, 119)(24, 103)(25, 110)(26, 95)(27, 106)(28, 114)(29, 122)(30, 101)(31, 125)(32, 109)(33, 112)(34, 126)(35, 115)(36, 121)(37, 107)(38, 118)(39, 124)(40, 113)(41, 120)(42, 123)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.769
Graph:: simple bipartite
	v = 20 e = 84 f = 28
	degree seq :: [ 6^14, 14^6 ]

E19.771 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 14, 14})
Quotient :: halfedge^2
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1^2 * Y2 * Y1^-2, Y2 * Y1^-3 * Y2 * Y1^-1 * Y2 * Y1^-3, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1, Y1^14 ]
Map::
	R = (1, 44, 2, 47, 5, 53, 11, 62, 20, 74, 32, 83, 41, 82, 40, 84, 42, 81, 39, 73, 31, 61, 19, 52, 10, 46, 4, 43)(3, 49, 7, 54, 12, 64, 22, 75, 33, 71, 29, 80, 38, 66, 24, 79, 37, 65, 23, 78, 36, 70, 28, 59, 17, 50, 8, 45)(6, 55, 13, 63, 21, 76, 34, 69, 27, 58, 16, 68, 26, 57, 15, 67, 25, 77, 35, 72, 30, 60, 18, 51, 9, 56, 14, 48)
	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, 32)(28, 34)(31, 36)(37, 42)(38, 41)(43, 45)(44, 48)(46, 51)(47, 54)(49, 57)(50, 58)(52, 59)(53, 63)(55, 65)(56, 66)(60, 71)(61, 72)(62, 75)(64, 77)(67, 81)(68, 82)(69, 74)(70, 76)(73, 78)(79, 84)(80, 83)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.772 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 14, 14})
Quotient :: edge^2
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3^-3 * Y1 * Y3^-1 * Y1 * Y3^-2, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y3^14 ]
Map::
	R = (1, 43, 3, 45, 8, 50, 17, 59, 28, 70, 36, 78, 42, 84, 34, 76, 41, 83, 32, 74, 31, 73, 19, 61, 10, 52, 4, 46)(2, 44, 5, 47, 12, 54, 22, 64, 35, 77, 29, 71, 40, 82, 27, 69, 39, 81, 25, 67, 38, 80, 24, 66, 14, 56, 6, 48)(7, 49, 15, 57, 26, 68, 37, 79, 23, 65, 13, 55, 21, 63, 11, 53, 20, 62, 33, 75, 30, 72, 18, 60, 9, 51, 16, 58)(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, 125)(124, 126)(127, 128)(129, 133)(130, 135)(131, 137)(132, 139)(134, 138)(136, 140)(141, 151)(142, 153)(143, 152)(144, 155)(145, 156)(146, 158)(147, 160)(148, 159)(149, 162)(150, 163)(154, 161)(157, 164)(165, 167)(166, 168)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 56, 56 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E19.774
Graph:: simple bipartite
	v = 45 e = 84 f = 3
	degree seq :: [ 2^42, 28^3 ]

E19.773 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 14, 14})
Quotient :: edge^2
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = C14 x S3 (small group id <84, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2^-2 * Y3 * Y2 * Y1^-1 * Y3, Y3 * Y1^2 * Y3 * Y1^-2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-2, Y2^-2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-3, Y3 * Y2^3 * Y3 * Y2^2 * Y1^-1 * Y3 * Y1^-1, Y1^14, Y2^14 ]
Map:: non-degenerate
	R = (1, 43, 4, 46)(2, 44, 6, 48)(3, 45, 8, 50)(5, 47, 12, 54)(7, 49, 16, 58)(9, 51, 18, 60)(10, 52, 19, 61)(11, 53, 21, 63)(13, 55, 23, 65)(14, 56, 24, 66)(15, 57, 26, 68)(17, 59, 28, 70)(20, 62, 33, 75)(22, 64, 35, 77)(25, 67, 36, 78)(27, 69, 34, 76)(29, 71, 39, 81)(30, 72, 40, 82)(31, 73, 32, 74)(37, 79, 42, 84)(38, 80, 41, 83)(85, 86, 89, 95, 104, 116, 125, 124, 126, 123, 109, 99, 91, 87)(88, 93, 96, 106, 117, 112, 122, 108, 121, 107, 120, 111, 100, 94)(90, 97, 105, 118, 115, 103, 114, 102, 113, 119, 110, 101, 92, 98)(127, 129, 133, 141, 151, 165, 168, 166, 167, 158, 146, 137, 131, 128)(130, 136, 142, 153, 162, 149, 163, 150, 164, 154, 159, 148, 138, 135)(132, 140, 134, 143, 152, 161, 155, 144, 156, 145, 157, 160, 147, 139)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 8^4 ), ( 8^14 ) }
Outer automorphisms :: reflexible
Dual of E19.775
Graph:: simple bipartite
	v = 27 e = 84 f = 21
	degree seq :: [ 4^21, 14^6 ]

E19.774 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 14, 14})
Quotient :: loop^2
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3^-3 * Y1 * Y3^-1 * Y1 * Y3^-2, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y3^14 ]
Map::
	R = (1, 43, 85, 127, 3, 45, 87, 129, 8, 50, 92, 134, 17, 59, 101, 143, 28, 70, 112, 154, 36, 78, 120, 162, 42, 84, 126, 168, 34, 76, 118, 160, 41, 83, 125, 167, 32, 74, 116, 158, 31, 73, 115, 157, 19, 61, 103, 145, 10, 52, 94, 136, 4, 46, 88, 130)(2, 44, 86, 128, 5, 47, 89, 131, 12, 54, 96, 138, 22, 64, 106, 148, 35, 77, 119, 161, 29, 71, 113, 155, 40, 82, 124, 166, 27, 69, 111, 153, 39, 81, 123, 165, 25, 67, 109, 151, 38, 80, 122, 164, 24, 66, 108, 150, 14, 56, 98, 140, 6, 48, 90, 132)(7, 49, 91, 133, 15, 57, 99, 141, 26, 68, 110, 152, 37, 79, 121, 163, 23, 65, 107, 149, 13, 55, 97, 139, 21, 63, 105, 147, 11, 53, 95, 137, 20, 62, 104, 146, 33, 75, 117, 159, 30, 72, 114, 156, 18, 60, 102, 144, 9, 51, 93, 135, 16, 58, 100, 142)
	L = (1, 44)(2, 43)(3, 49)(4, 51)(5, 53)(6, 55)(7, 45)(8, 54)(9, 46)(10, 56)(11, 47)(12, 50)(13, 48)(14, 52)(15, 67)(16, 69)(17, 68)(18, 71)(19, 72)(20, 74)(21, 76)(22, 75)(23, 78)(24, 79)(25, 57)(26, 59)(27, 58)(28, 77)(29, 60)(30, 61)(31, 80)(32, 62)(33, 64)(34, 63)(35, 70)(36, 65)(37, 66)(38, 73)(39, 83)(40, 84)(41, 81)(42, 82)(85, 128)(86, 127)(87, 133)(88, 135)(89, 137)(90, 139)(91, 129)(92, 138)(93, 130)(94, 140)(95, 131)(96, 134)(97, 132)(98, 136)(99, 151)(100, 153)(101, 152)(102, 155)(103, 156)(104, 158)(105, 160)(106, 159)(107, 162)(108, 163)(109, 141)(110, 143)(111, 142)(112, 161)(113, 144)(114, 145)(115, 164)(116, 146)(117, 148)(118, 147)(119, 154)(120, 149)(121, 150)(122, 157)(123, 167)(124, 168)(125, 165)(126, 166)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.772
Transitivity :: VT+
Graph::
	v = 3 e = 84 f = 45
	degree seq :: [ 56^3 ]

E19.775 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 14, 14})
Quotient :: loop^2
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = C14 x S3 (small group id <84, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2^-2 * Y3 * Y2 * Y1^-1 * Y3, Y3 * Y1^2 * Y3 * Y1^-2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-2, Y2^-2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-3, Y3 * Y2^3 * Y3 * Y2^2 * Y1^-1 * Y3 * Y1^-1, Y1^14, Y2^14 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 4, 46, 88, 130)(2, 44, 86, 128, 6, 48, 90, 132)(3, 45, 87, 129, 8, 50, 92, 134)(5, 47, 89, 131, 12, 54, 96, 138)(7, 49, 91, 133, 16, 58, 100, 142)(9, 51, 93, 135, 18, 60, 102, 144)(10, 52, 94, 136, 19, 61, 103, 145)(11, 53, 95, 137, 21, 63, 105, 147)(13, 55, 97, 139, 23, 65, 107, 149)(14, 56, 98, 140, 24, 66, 108, 150)(15, 57, 99, 141, 26, 68, 110, 152)(17, 59, 101, 143, 28, 70, 112, 154)(20, 62, 104, 146, 33, 75, 117, 159)(22, 64, 106, 148, 35, 77, 119, 161)(25, 67, 109, 151, 36, 78, 120, 162)(27, 69, 111, 153, 34, 76, 118, 160)(29, 71, 113, 155, 39, 81, 123, 165)(30, 72, 114, 156, 40, 82, 124, 166)(31, 73, 115, 157, 32, 74, 116, 158)(37, 79, 121, 163, 42, 84, 126, 168)(38, 80, 122, 164, 41, 83, 125, 167)
	L = (1, 44)(2, 47)(3, 43)(4, 51)(5, 53)(6, 55)(7, 45)(8, 56)(9, 54)(10, 46)(11, 62)(12, 64)(13, 63)(14, 48)(15, 49)(16, 52)(17, 50)(18, 71)(19, 72)(20, 74)(21, 76)(22, 75)(23, 78)(24, 79)(25, 57)(26, 59)(27, 58)(28, 80)(29, 77)(30, 60)(31, 61)(32, 83)(33, 70)(34, 73)(35, 68)(36, 69)(37, 65)(38, 66)(39, 67)(40, 84)(41, 82)(42, 81)(85, 129)(86, 127)(87, 133)(88, 136)(89, 128)(90, 140)(91, 141)(92, 143)(93, 130)(94, 142)(95, 131)(96, 135)(97, 132)(98, 134)(99, 151)(100, 153)(101, 152)(102, 156)(103, 157)(104, 137)(105, 139)(106, 138)(107, 163)(108, 164)(109, 165)(110, 161)(111, 162)(112, 159)(113, 144)(114, 145)(115, 160)(116, 146)(117, 148)(118, 147)(119, 155)(120, 149)(121, 150)(122, 154)(123, 168)(124, 167)(125, 158)(126, 166)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.773
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 27
	degree seq :: [ 8^21 ]

E19.776 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-2 * Y1 * Y2^2, Y2^3 * Y1 * Y2^3 * Y1 * Y2 * Y1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^14, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 9, 51)(5, 47, 11, 53)(6, 48, 13, 55)(8, 50, 12, 54)(10, 52, 14, 56)(15, 57, 25, 67)(16, 58, 27, 69)(17, 59, 26, 68)(18, 60, 29, 71)(19, 61, 30, 72)(20, 62, 32, 74)(21, 63, 34, 76)(22, 64, 33, 75)(23, 65, 36, 78)(24, 66, 37, 79)(28, 70, 35, 77)(31, 73, 38, 80)(39, 81, 41, 83)(40, 82, 42, 84)(85, 127, 87, 129, 92, 134, 101, 143, 112, 154, 120, 162, 126, 168, 118, 160, 125, 167, 116, 158, 115, 157, 103, 145, 94, 136, 88, 130)(86, 128, 89, 131, 96, 138, 106, 148, 119, 161, 113, 155, 124, 166, 111, 153, 123, 165, 109, 151, 122, 164, 108, 150, 98, 140, 90, 132)(91, 133, 99, 141, 110, 152, 121, 163, 107, 149, 97, 139, 105, 147, 95, 137, 104, 146, 117, 159, 114, 156, 102, 144, 93, 135, 100, 142)
	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, 28, 4, 28 ), ( 4, 28, 4, 28, 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 selfdual
Graph:: bipartite
	v = 24 e = 84 f = 24
	degree seq :: [ 4^21, 28^3 ]

E19.777 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y1 * Y3^-1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y2 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-2 * R)^2, Y1 * Y2 * Y3^-1 * Y2^6 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 11, 53)(4, 46, 10, 52)(5, 47, 16, 58)(6, 48, 8, 50)(7, 49, 13, 55)(9, 51, 17, 59)(12, 54, 19, 61)(14, 56, 20, 62)(15, 57, 21, 63)(18, 60, 22, 64)(23, 65, 25, 67)(24, 66, 35, 77)(26, 68, 32, 74)(27, 69, 28, 70)(29, 71, 33, 75)(30, 72, 40, 82)(31, 73, 37, 79)(34, 76, 41, 83)(36, 78, 39, 81)(38, 80, 42, 84)(85, 127, 87, 129, 96, 138, 108, 150, 120, 162, 117, 159, 105, 147, 92, 134, 104, 146, 116, 158, 126, 168, 114, 156, 102, 144, 89, 131)(86, 128, 91, 133, 103, 145, 115, 157, 123, 165, 111, 153, 99, 141, 88, 130, 98, 140, 109, 151, 122, 164, 118, 160, 106, 148, 93, 135)(90, 132, 97, 139, 110, 152, 121, 163, 124, 166, 112, 154, 100, 142, 94, 136, 95, 137, 107, 149, 119, 161, 125, 167, 113, 155, 101, 143)
	L = (1, 88)(2, 92)(3, 97)(4, 90)(5, 101)(6, 85)(7, 95)(8, 94)(9, 100)(10, 86)(11, 104)(12, 109)(13, 98)(14, 87)(15, 89)(16, 105)(17, 99)(18, 111)(19, 116)(20, 91)(21, 93)(22, 117)(23, 103)(24, 121)(25, 110)(26, 96)(27, 113)(28, 106)(29, 102)(30, 125)(31, 119)(32, 107)(33, 112)(34, 124)(35, 126)(36, 118)(37, 122)(38, 108)(39, 114)(40, 120)(41, 123)(42, 115)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 28, 4, 28 ), ( 4, 28, 4, 28, 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 selfdual
Graph:: bipartite
	v = 24 e = 84 f = 24
	degree seq :: [ 4^21, 28^3 ]

E19.778 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 21, 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^-1), (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^3 * T2, T2^-1 * T1 * T2^-8 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 37, 35, 27, 16, 6, 15, 23, 11, 21, 31, 39, 41, 33, 25, 13, 5)(2, 7, 17, 22, 32, 40, 42, 34, 26, 14, 24, 12, 4, 10, 20, 30, 38, 36, 28, 18, 8)(43, 44, 48, 56, 67, 70, 77, 84, 81, 72, 61, 64, 53, 46)(45, 49, 57, 66, 55, 60, 69, 76, 83, 80, 71, 74, 63, 52)(47, 50, 58, 68, 75, 78, 79, 82, 73, 62, 51, 59, 65, 54)
	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) :: { ( 84^14 ), ( 84^21 ) }
Outer automorphisms :: reflexible
Dual of E19.798
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 42 f = 1
	degree seq :: [ 14^3, 21^2 ]

E19.779 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 21, 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, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-4, T1^3 * T2^-2 * T1^2 * T2^-1 * T1, T2^-1 * T1^-2 * T2^10 * T1^-2, T2^75 * T1^-2 * T2^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 23, 11, 21, 35, 26, 39, 42, 37, 30, 16, 6, 15, 29, 25, 13, 5)(2, 7, 17, 31, 24, 12, 4, 10, 20, 34, 41, 38, 22, 36, 28, 14, 27, 40, 32, 18, 8)(43, 44, 48, 56, 68, 76, 61, 73, 67, 74, 79, 64, 53, 46)(45, 49, 57, 69, 81, 83, 75, 66, 55, 60, 72, 78, 63, 52)(47, 50, 58, 70, 77, 62, 51, 59, 71, 82, 84, 80, 65, 54)
	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) :: { ( 84^14 ), ( 84^21 ) }
Outer automorphisms :: reflexible
Dual of E19.802
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 42 f = 1
	degree seq :: [ 14^3, 21^2 ]

E19.780 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 21, 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^-1), (F * T2)^2, (F * T1)^2, T2^5 * T1^-1 * T2 * T1^-1, T1 * T2 * T1 * T2^2 * T1^4, (T1^-1 * T2^-1)^42 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 16, 6, 15, 29, 35, 42, 39, 26, 37, 23, 11, 21, 33, 25, 13, 5)(2, 7, 17, 31, 40, 28, 14, 27, 36, 22, 34, 41, 38, 24, 12, 4, 10, 20, 32, 18, 8)(43, 44, 48, 56, 68, 80, 67, 74, 61, 73, 77, 64, 53, 46)(45, 49, 57, 69, 79, 66, 55, 60, 72, 82, 84, 76, 63, 52)(47, 50, 58, 70, 81, 83, 75, 62, 51, 59, 71, 78, 65, 54)
	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) :: { ( 84^14 ), ( 84^21 ) }
Outer automorphisms :: reflexible
Dual of E19.801
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 42 f = 1
	degree seq :: [ 14^3, 21^2 ]

E19.781 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 21, 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, (T2, T1^-1), T2^3 * T1^2, T1^-14, T1^14 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 18, 23, 25, 30, 35, 37, 42, 39, 32, 34, 27, 20, 22, 15, 6, 13, 5)(2, 7, 12, 4, 10, 17, 19, 24, 29, 31, 36, 41, 38, 40, 33, 26, 28, 21, 14, 16, 8)(43, 44, 48, 56, 62, 68, 74, 80, 79, 73, 67, 61, 53, 46)(45, 49, 55, 58, 64, 70, 76, 82, 84, 78, 72, 66, 60, 52)(47, 50, 57, 63, 69, 75, 81, 83, 77, 71, 65, 59, 51, 54)
	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) :: { ( 84^14 ), ( 84^21 ) }
Outer automorphisms :: reflexible
Dual of E19.799
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 42 f = 1
	degree seq :: [ 14^3, 21^2 ]

E19.782 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 21, 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, (T2^-1, T1^-1), T2^3 * T1^-2, T1^14, T1^-28 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 22, 20, 27, 34, 32, 39, 41, 35, 37, 30, 23, 25, 18, 11, 13, 5)(2, 7, 16, 14, 21, 28, 26, 33, 40, 38, 42, 36, 29, 31, 24, 17, 19, 12, 4, 10, 8)(43, 44, 48, 56, 62, 68, 74, 80, 77, 71, 65, 59, 53, 46)(45, 49, 57, 63, 69, 75, 81, 84, 79, 73, 67, 61, 55, 52)(47, 50, 51, 58, 64, 70, 76, 82, 83, 78, 72, 66, 60, 54)
	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) :: { ( 84^14 ), ( 84^21 ) }
Outer automorphisms :: reflexible
Dual of E19.800
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 42 f = 1
	degree seq :: [ 14^3, 21^2 ]

E19.783 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 21, 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, (T2, T1), T2 * T1 * T2^3, T2 * T1^-1 * T2 * T1^-9, 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, 38, 42, 36, 40, 30, 39, 41, 32, 22, 31, 33, 24, 14, 23, 25, 16, 6, 15, 17, 8, 2, 7, 13, 5)(43, 44, 48, 56, 64, 72, 80, 76, 68, 60, 51, 55, 59, 67, 75, 83, 78, 70, 62, 53, 46)(45, 49, 57, 65, 73, 81, 84, 79, 71, 63, 54, 47, 50, 58, 66, 74, 82, 77, 69, 61, 52)
	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) :: { ( 28^21 ), ( 28^42 ) }
Outer automorphisms :: reflexible
Dual of E19.804
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 42 f = 3
	degree seq :: [ 21^2, 42 ]

E19.784 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 21, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T1)^2, (F * T2)^2, T1^21, (T2^-1 * T1^-1)^14 ]
Map:: non-degenerate
	R = (1, 3, 2, 7, 6, 11, 10, 15, 14, 19, 18, 23, 22, 27, 26, 31, 30, 35, 34, 39, 38, 42, 40, 41, 36, 37, 32, 33, 28, 29, 24, 25, 20, 21, 16, 17, 12, 13, 8, 9, 4, 5)(43, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 82, 78, 74, 70, 66, 62, 58, 54, 50, 46)(45, 49, 53, 57, 61, 65, 69, 73, 77, 81, 84, 83, 79, 75, 71, 67, 63, 59, 55, 51, 47)
	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) :: { ( 28^21 ), ( 28^42 ) }
Outer automorphisms :: reflexible
Dual of E19.805
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 42 f = 3
	degree seq :: [ 21^2, 42 ]

E19.785 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 21, 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, (T2^-1, T1^-1), T1^3 * T2 * T1 * T2 * T1, T2^-8 * T1, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 29, 18, 8, 2, 7, 17, 28, 38, 37, 27, 16, 6, 15, 22, 33, 40, 42, 36, 26, 14, 23, 11, 21, 32, 39, 41, 34, 24, 12, 4, 10, 20, 31, 35, 25, 13, 5)(43, 44, 48, 56, 66, 55, 60, 69, 78, 83, 77, 72, 80, 82, 74, 62, 51, 59, 64, 53, 46)(45, 49, 57, 65, 54, 47, 50, 58, 68, 76, 67, 71, 79, 84, 81, 73, 61, 70, 75, 63, 52)
	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) :: { ( 28^21 ), ( 28^42 ) }
Outer automorphisms :: reflexible
Dual of E19.806
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 42 f = 3
	degree seq :: [ 21^2, 42 ]

E19.786 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 21, 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), T1^3 * T2^6, T1^5 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 38, 22, 36, 30, 16, 6, 15, 29, 40, 24, 12, 4, 10, 20, 34, 26, 42, 37, 32, 18, 8, 2, 7, 17, 31, 39, 23, 11, 21, 35, 28, 14, 27, 41, 25, 13, 5)(43, 44, 48, 56, 68, 75, 81, 66, 55, 60, 72, 77, 62, 51, 59, 71, 83, 79, 64, 53, 46)(45, 49, 57, 69, 84, 80, 65, 54, 47, 50, 58, 70, 76, 61, 73, 82, 67, 74, 78, 63, 52)
	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) :: { ( 28^21 ), ( 28^42 ) }
Outer automorphisms :: reflexible
Dual of E19.803
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 42 f = 3
	degree seq :: [ 21^2, 42 ]

E19.787 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 21, 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 * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-3 * T2, T2^10 * 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 27, 35, 37, 29, 21, 12, 4, 10, 14, 23, 31, 39, 42, 36, 28, 20, 11, 16, 6, 15, 24, 32, 40, 41, 34, 26, 18, 8, 2, 7, 17, 25, 33, 38, 30, 22, 13, 5)(43, 44, 48, 56, 51, 59, 66, 73, 69, 75, 82, 84, 79, 72, 76, 70, 63, 55, 60, 53, 46)(45, 49, 57, 65, 61, 67, 74, 81, 77, 80, 83, 78, 71, 64, 68, 62, 54, 47, 50, 58, 52)
	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) :: { ( 28^21 ), ( 28^42 ) }
Outer automorphisms :: reflexible
Dual of E19.807
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 42 f = 3
	degree seq :: [ 21^2, 42 ]

E19.788 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 21, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (T2, T1), (F * T2)^2, T2^3 * T1^-3, T1^-12 * T2^-2, T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-2 * T2^-1, T1^-4 * T2^-1 * T1^-2 * T2^-1 * T1^-6, T2^14, (T1^-1 * T2^-1)^21 ]
Map:: non-degenerate
	R = (1, 3, 9, 14, 23, 30, 34, 41, 37, 33, 26, 19, 13, 5)(2, 7, 17, 22, 29, 36, 40, 38, 31, 27, 20, 11, 18, 8)(4, 10, 16, 6, 15, 24, 28, 35, 42, 39, 32, 25, 21, 12)(43, 44, 48, 56, 64, 70, 76, 82, 81, 75, 69, 63, 55, 60, 52, 45, 49, 57, 65, 71, 77, 83, 80, 74, 68, 62, 54, 47, 50, 58, 51, 59, 66, 72, 78, 84, 79, 73, 67, 61, 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) :: { ( 42^14 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.795
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.789 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 21, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^14, (T1^-1 * T2^-1)^21 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 35, 29, 23, 17, 11, 5)(2, 7, 13, 19, 25, 31, 37, 42, 38, 32, 26, 20, 14, 8)(4, 6, 12, 18, 24, 30, 36, 41, 40, 34, 28, 22, 16, 10)(43, 44, 48, 45, 49, 54, 51, 55, 60, 57, 61, 66, 63, 67, 72, 69, 73, 78, 75, 79, 83, 81, 84, 82, 77, 80, 76, 71, 74, 70, 65, 68, 64, 59, 62, 58, 53, 56, 52, 47, 50, 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) :: { ( 42^14 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.793
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.790 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 21, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^14 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 35, 29, 23, 17, 11, 5)(2, 7, 13, 19, 25, 31, 37, 42, 38, 32, 26, 20, 14, 8)(4, 10, 16, 22, 28, 34, 40, 41, 36, 30, 24, 18, 12, 6)(43, 44, 48, 47, 50, 54, 53, 56, 60, 59, 62, 66, 65, 68, 72, 71, 74, 78, 77, 80, 83, 81, 84, 82, 75, 79, 76, 69, 73, 70, 63, 67, 64, 57, 61, 58, 51, 55, 52, 45, 49, 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) :: { ( 42^14 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.796
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.791 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 21, 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^-1), (F * T2)^2, (F * T1)^2, T1^-2 * T2^-1 * T1^-1 * T2^-4, T2 * T1^-1 * T2 * T1^-2 * T2^2 * T1^-3, T2^2 * T1^3 * T2^-2 * T1^-3, T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 22, 36, 41, 28, 14, 27, 25, 13, 5)(2, 7, 17, 31, 23, 11, 21, 35, 40, 26, 39, 32, 18, 8)(4, 10, 20, 34, 38, 37, 42, 30, 16, 6, 15, 29, 24, 12)(43, 44, 48, 56, 68, 80, 75, 65, 54, 47, 50, 58, 70, 82, 76, 61, 73, 66, 55, 60, 72, 83, 77, 62, 51, 59, 71, 67, 74, 84, 78, 63, 52, 45, 49, 57, 69, 81, 79, 64, 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) :: { ( 42^14 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.797
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.792 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 21, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-1 * T2^4 * T1^-1, T2^2 * T1 * T2 * T1^5 * T2, (T1^-1 * T2^-1)^21 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 28, 14, 27, 41, 35, 22, 33, 25, 13, 5)(2, 7, 17, 31, 40, 26, 39, 36, 23, 11, 21, 32, 18, 8)(4, 10, 20, 30, 16, 6, 15, 29, 42, 34, 38, 37, 24, 12)(43, 44, 48, 56, 68, 80, 75, 63, 52, 45, 49, 57, 69, 81, 79, 67, 74, 62, 51, 59, 71, 83, 78, 66, 55, 60, 72, 61, 73, 84, 77, 65, 54, 47, 50, 58, 70, 82, 76, 64, 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) :: { ( 42^14 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E19.794
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 42 f = 2
	degree seq :: [ 14^3, 42 ]

E19.793 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 21, 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 * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^3 * T2, T2^-1 * T1 * T2^-8 * T1 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 29, 71, 37, 79, 35, 77, 27, 69, 16, 58, 6, 48, 15, 57, 23, 65, 11, 53, 21, 63, 31, 73, 39, 81, 41, 83, 33, 75, 25, 67, 13, 55, 5, 47)(2, 44, 7, 49, 17, 59, 22, 64, 32, 74, 40, 82, 42, 84, 34, 76, 26, 68, 14, 56, 24, 66, 12, 54, 4, 46, 10, 52, 20, 62, 30, 72, 38, 80, 36, 78, 28, 70, 18, 60, 8, 50)
	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, 67)(15, 66)(16, 68)(17, 65)(18, 69)(19, 64)(20, 51)(21, 52)(22, 53)(23, 54)(24, 55)(25, 70)(26, 75)(27, 76)(28, 77)(29, 74)(30, 61)(31, 62)(32, 63)(33, 78)(34, 83)(35, 84)(36, 79)(37, 82)(38, 71)(39, 72)(40, 73)(41, 80)(42, 81)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.789
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.794 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 21, 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, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-4, T1^3 * T2^-2 * T1^2 * T2^-1 * T1, T2^-1 * T1^-2 * T2^10 * T1^-2, T2^75 * T1^-2 * T2^3 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 33, 75, 23, 65, 11, 53, 21, 63, 35, 77, 26, 68, 39, 81, 42, 84, 37, 79, 30, 72, 16, 58, 6, 48, 15, 57, 29, 71, 25, 67, 13, 55, 5, 47)(2, 44, 7, 49, 17, 59, 31, 73, 24, 66, 12, 54, 4, 46, 10, 52, 20, 62, 34, 76, 41, 83, 38, 80, 22, 64, 36, 78, 28, 70, 14, 56, 27, 69, 40, 82, 32, 74, 18, 60, 8, 50)
	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, 76)(27, 81)(28, 77)(29, 82)(30, 78)(31, 67)(32, 79)(33, 66)(34, 61)(35, 62)(36, 63)(37, 64)(38, 65)(39, 83)(40, 84)(41, 75)(42, 80)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.792
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.795 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 21, 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, T2^5 * T1^-1 * T2 * T1^-1, T1 * T2 * T1 * T2^2 * T1^4, (T1^-1 * T2^-1)^42 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 30, 72, 16, 58, 6, 48, 15, 57, 29, 71, 35, 77, 42, 84, 39, 81, 26, 68, 37, 79, 23, 65, 11, 53, 21, 63, 33, 75, 25, 67, 13, 55, 5, 47)(2, 44, 7, 49, 17, 59, 31, 73, 40, 82, 28, 70, 14, 56, 27, 69, 36, 78, 22, 64, 34, 76, 41, 83, 38, 80, 24, 66, 12, 54, 4, 46, 10, 52, 20, 62, 32, 74, 18, 60, 8, 50)
	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, 80)(27, 79)(28, 81)(29, 78)(30, 82)(31, 77)(32, 61)(33, 62)(34, 63)(35, 64)(36, 65)(37, 66)(38, 67)(39, 83)(40, 84)(41, 75)(42, 76)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.788
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.796 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 21, 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, (T2, T1^-1), T2^3 * T1^2, T1^-14, T1^14 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 11, 53, 18, 60, 23, 65, 25, 67, 30, 72, 35, 77, 37, 79, 42, 84, 39, 81, 32, 74, 34, 76, 27, 69, 20, 62, 22, 64, 15, 57, 6, 48, 13, 55, 5, 47)(2, 44, 7, 49, 12, 54, 4, 46, 10, 52, 17, 59, 19, 61, 24, 66, 29, 71, 31, 73, 36, 78, 41, 83, 38, 80, 40, 82, 33, 75, 26, 68, 28, 70, 21, 63, 14, 56, 16, 58, 8, 50)
	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, 62)(15, 63)(16, 64)(17, 51)(18, 52)(19, 53)(20, 68)(21, 69)(22, 70)(23, 59)(24, 60)(25, 61)(26, 74)(27, 75)(28, 76)(29, 65)(30, 66)(31, 67)(32, 80)(33, 81)(34, 82)(35, 71)(36, 72)(37, 73)(38, 79)(39, 83)(40, 84)(41, 77)(42, 78)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.790
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.797 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 21, 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, (T2^-1, T1^-1), T2^3 * T1^-2, T1^14, T1^-28 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 6, 48, 15, 57, 22, 64, 20, 62, 27, 69, 34, 76, 32, 74, 39, 81, 41, 83, 35, 77, 37, 79, 30, 72, 23, 65, 25, 67, 18, 60, 11, 53, 13, 55, 5, 47)(2, 44, 7, 49, 16, 58, 14, 56, 21, 63, 28, 70, 26, 68, 33, 75, 40, 82, 38, 80, 42, 84, 36, 78, 29, 71, 31, 73, 24, 66, 17, 59, 19, 61, 12, 54, 4, 46, 10, 52, 8, 50)
	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, 62)(15, 63)(16, 64)(17, 53)(18, 54)(19, 55)(20, 68)(21, 69)(22, 70)(23, 59)(24, 60)(25, 61)(26, 74)(27, 75)(28, 76)(29, 65)(30, 66)(31, 67)(32, 80)(33, 81)(34, 82)(35, 71)(36, 72)(37, 73)(38, 77)(39, 84)(40, 83)(41, 78)(42, 79)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.791
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 42 f = 4
	degree seq :: [ 42^2 ]

E19.798 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 21, 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, (T2, T1), T2 * T1 * T2^3, T2 * T1^-1 * T2 * T1^-9, T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2^2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 12, 54, 4, 46, 10, 52, 18, 60, 21, 63, 11, 53, 19, 61, 26, 68, 29, 71, 20, 62, 27, 69, 34, 76, 37, 79, 28, 70, 35, 77, 38, 80, 42, 84, 36, 78, 40, 82, 30, 72, 39, 81, 41, 83, 32, 74, 22, 64, 31, 73, 33, 75, 24, 66, 14, 56, 23, 65, 25, 67, 16, 58, 6, 48, 15, 57, 17, 59, 8, 50, 2, 44, 7, 49, 13, 55, 5, 47)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 56)(7, 57)(8, 58)(9, 55)(10, 45)(11, 46)(12, 47)(13, 59)(14, 64)(15, 65)(16, 66)(17, 67)(18, 51)(19, 52)(20, 53)(21, 54)(22, 72)(23, 73)(24, 74)(25, 75)(26, 60)(27, 61)(28, 62)(29, 63)(30, 80)(31, 81)(32, 82)(33, 83)(34, 68)(35, 69)(36, 70)(37, 71)(38, 76)(39, 84)(40, 77)(41, 78)(42, 79)
	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, 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, 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 E19.778
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 42 f = 5
	degree seq :: [ 84 ]

E19.799 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 21, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T1)^2, (F * T2)^2, T1^21, (T2^-1 * T1^-1)^14 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 2, 44, 7, 49, 6, 48, 11, 53, 10, 52, 15, 57, 14, 56, 19, 61, 18, 60, 23, 65, 22, 64, 27, 69, 26, 68, 31, 73, 30, 72, 35, 77, 34, 76, 39, 81, 38, 80, 42, 84, 40, 82, 41, 83, 36, 78, 37, 79, 32, 74, 33, 75, 28, 70, 29, 71, 24, 66, 25, 67, 20, 62, 21, 63, 16, 58, 17, 59, 12, 54, 13, 55, 8, 50, 9, 51, 4, 46, 5, 47)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 45)(6, 52)(7, 53)(8, 46)(9, 47)(10, 56)(11, 57)(12, 50)(13, 51)(14, 60)(15, 61)(16, 54)(17, 55)(18, 64)(19, 65)(20, 58)(21, 59)(22, 68)(23, 69)(24, 62)(25, 63)(26, 72)(27, 73)(28, 66)(29, 67)(30, 76)(31, 77)(32, 70)(33, 71)(34, 80)(35, 81)(36, 74)(37, 75)(38, 82)(39, 84)(40, 78)(41, 79)(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, 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, 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 E19.781
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 42 f = 5
	degree seq :: [ 84 ]

E19.800 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 21, 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, (T2^-1, T1^-1), T1^3 * T2 * T1 * T2 * T1, T2^-8 * T1, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-3 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 30, 72, 29, 71, 18, 60, 8, 50, 2, 44, 7, 49, 17, 59, 28, 70, 38, 80, 37, 79, 27, 69, 16, 58, 6, 48, 15, 57, 22, 64, 33, 75, 40, 82, 42, 84, 36, 78, 26, 68, 14, 56, 23, 65, 11, 53, 21, 63, 32, 74, 39, 81, 41, 83, 34, 76, 24, 66, 12, 54, 4, 46, 10, 52, 20, 62, 31, 73, 35, 77, 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, 66)(15, 65)(16, 68)(17, 64)(18, 69)(19, 70)(20, 51)(21, 52)(22, 53)(23, 54)(24, 55)(25, 71)(26, 76)(27, 78)(28, 75)(29, 79)(30, 80)(31, 61)(32, 62)(33, 63)(34, 67)(35, 72)(36, 83)(37, 84)(38, 82)(39, 73)(40, 74)(41, 77)(42, 81)
	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, 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, 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 E19.782
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 42 f = 5
	degree seq :: [ 84 ]

E19.801 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 21, 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), T1^3 * T2^6, T1^5 * T2^-4 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 33, 75, 38, 80, 22, 64, 36, 78, 30, 72, 16, 58, 6, 48, 15, 57, 29, 71, 40, 82, 24, 66, 12, 54, 4, 46, 10, 52, 20, 62, 34, 76, 26, 68, 42, 84, 37, 79, 32, 74, 18, 60, 8, 50, 2, 44, 7, 49, 17, 59, 31, 73, 39, 81, 23, 65, 11, 53, 21, 63, 35, 77, 28, 70, 14, 56, 27, 69, 41, 83, 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, 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, 84)(28, 76)(29, 83)(30, 77)(31, 82)(32, 78)(33, 81)(34, 61)(35, 62)(36, 63)(37, 64)(38, 65)(39, 66)(40, 67)(41, 79)(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, 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, 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 E19.780
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 42 f = 5
	degree seq :: [ 84 ]

E19.802 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 21, 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 * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-3 * T2, T2^10 * 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 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 27, 69, 35, 77, 37, 79, 29, 71, 21, 63, 12, 54, 4, 46, 10, 52, 14, 56, 23, 65, 31, 73, 39, 81, 42, 84, 36, 78, 28, 70, 20, 62, 11, 53, 16, 58, 6, 48, 15, 57, 24, 66, 32, 74, 40, 82, 41, 83, 34, 76, 26, 68, 18, 60, 8, 50, 2, 44, 7, 49, 17, 59, 25, 67, 33, 75, 38, 80, 30, 72, 22, 64, 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, 51)(15, 65)(16, 52)(17, 66)(18, 53)(19, 67)(20, 54)(21, 55)(22, 68)(23, 61)(24, 73)(25, 74)(26, 62)(27, 75)(28, 63)(29, 64)(30, 76)(31, 69)(32, 81)(33, 82)(34, 70)(35, 80)(36, 71)(37, 72)(38, 83)(39, 77)(40, 84)(41, 78)(42, 79)
	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, 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, 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 E19.779
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 42 f = 5
	degree seq :: [ 84 ]

E19.803 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 21, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (T2, T1), (F * T2)^2, T2^3 * T1^-3, T1^-12 * T2^-2, T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-2 * T2^-1, T1^-4 * T2^-1 * T1^-2 * T2^-1 * T1^-6, T2^14, (T1^-1 * T2^-1)^21 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 14, 56, 23, 65, 30, 72, 34, 76, 41, 83, 37, 79, 33, 75, 26, 68, 19, 61, 13, 55, 5, 47)(2, 44, 7, 49, 17, 59, 22, 64, 29, 71, 36, 78, 40, 82, 38, 80, 31, 73, 27, 69, 20, 62, 11, 53, 18, 60, 8, 50)(4, 46, 10, 52, 16, 58, 6, 48, 15, 57, 24, 66, 28, 70, 35, 77, 42, 84, 39, 81, 32, 74, 25, 67, 21, 63, 12, 54)
	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, 65)(16, 51)(17, 66)(18, 52)(19, 53)(20, 54)(21, 55)(22, 70)(23, 71)(24, 72)(25, 61)(26, 62)(27, 63)(28, 76)(29, 77)(30, 78)(31, 67)(32, 68)(33, 69)(34, 82)(35, 83)(36, 84)(37, 73)(38, 74)(39, 75)(40, 81)(41, 80)(42, 79)
	local type(s) :: { ( 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42 ) }
Outer automorphisms :: reflexible
Dual of E19.786
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.804 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 21, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^14, (T1^-1 * T2^-1)^21 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 15, 57, 21, 63, 27, 69, 33, 75, 39, 81, 35, 77, 29, 71, 23, 65, 17, 59, 11, 53, 5, 47)(2, 44, 7, 49, 13, 55, 19, 61, 25, 67, 31, 73, 37, 79, 42, 84, 38, 80, 32, 74, 26, 68, 20, 62, 14, 56, 8, 50)(4, 46, 6, 48, 12, 54, 18, 60, 24, 66, 30, 72, 36, 78, 41, 83, 40, 82, 34, 76, 28, 70, 22, 64, 16, 58, 10, 52)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 45)(7, 54)(8, 46)(9, 55)(10, 47)(11, 56)(12, 51)(13, 60)(14, 52)(15, 61)(16, 53)(17, 62)(18, 57)(19, 66)(20, 58)(21, 67)(22, 59)(23, 68)(24, 63)(25, 72)(26, 64)(27, 73)(28, 65)(29, 74)(30, 69)(31, 78)(32, 70)(33, 79)(34, 71)(35, 80)(36, 75)(37, 83)(38, 76)(39, 84)(40, 77)(41, 81)(42, 82)
	local type(s) :: { ( 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42 ) }
Outer automorphisms :: reflexible
Dual of E19.783
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.805 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 21, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^14 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 15, 57, 21, 63, 27, 69, 33, 75, 39, 81, 35, 77, 29, 71, 23, 65, 17, 59, 11, 53, 5, 47)(2, 44, 7, 49, 13, 55, 19, 61, 25, 67, 31, 73, 37, 79, 42, 84, 38, 80, 32, 74, 26, 68, 20, 62, 14, 56, 8, 50)(4, 46, 10, 52, 16, 58, 22, 64, 28, 70, 34, 76, 40, 82, 41, 83, 36, 78, 30, 72, 24, 66, 18, 60, 12, 54, 6, 48)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 47)(7, 46)(8, 54)(9, 55)(10, 45)(11, 56)(12, 53)(13, 52)(14, 60)(15, 61)(16, 51)(17, 62)(18, 59)(19, 58)(20, 66)(21, 67)(22, 57)(23, 68)(24, 65)(25, 64)(26, 72)(27, 73)(28, 63)(29, 74)(30, 71)(31, 70)(32, 78)(33, 79)(34, 69)(35, 80)(36, 77)(37, 76)(38, 83)(39, 84)(40, 75)(41, 81)(42, 82)
	local type(s) :: { ( 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42 ) }
Outer automorphisms :: reflexible
Dual of E19.784
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.806 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 21, 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^-2 * T2^-1 * T1^-1 * T2^-4, T2 * T1^-1 * T2 * T1^-2 * T2^2 * T1^-3, T2^2 * T1^3 * T2^-2 * T1^-3, T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^2 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 33, 75, 22, 64, 36, 78, 41, 83, 28, 70, 14, 56, 27, 69, 25, 67, 13, 55, 5, 47)(2, 44, 7, 49, 17, 59, 31, 73, 23, 65, 11, 53, 21, 63, 35, 77, 40, 82, 26, 68, 39, 81, 32, 74, 18, 60, 8, 50)(4, 46, 10, 52, 20, 62, 34, 76, 38, 80, 37, 79, 42, 84, 30, 72, 16, 58, 6, 48, 15, 57, 29, 71, 24, 66, 12, 54)
	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, 80)(27, 81)(28, 82)(29, 67)(30, 83)(31, 66)(32, 84)(33, 65)(34, 61)(35, 62)(36, 63)(37, 64)(38, 75)(39, 79)(40, 76)(41, 77)(42, 78)
	local type(s) :: { ( 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42 ) }
Outer automorphisms :: reflexible
Dual of E19.785
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.807 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 21, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-1 * T2^4 * T1^-1, T2^2 * T1 * T2 * T1^5 * T2, (T1^-1 * T2^-1)^21 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 28, 70, 14, 56, 27, 69, 41, 83, 35, 77, 22, 64, 33, 75, 25, 67, 13, 55, 5, 47)(2, 44, 7, 49, 17, 59, 31, 73, 40, 82, 26, 68, 39, 81, 36, 78, 23, 65, 11, 53, 21, 63, 32, 74, 18, 60, 8, 50)(4, 46, 10, 52, 20, 62, 30, 72, 16, 58, 6, 48, 15, 57, 29, 71, 42, 84, 34, 76, 38, 80, 37, 79, 24, 66, 12, 54)
	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, 80)(27, 81)(28, 82)(29, 83)(30, 61)(31, 84)(32, 62)(33, 63)(34, 64)(35, 65)(36, 66)(37, 67)(38, 75)(39, 79)(40, 76)(41, 78)(42, 77)
	local type(s) :: { ( 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42 ) }
Outer automorphisms :: reflexible
Dual of E19.787
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 42 f = 3
	degree seq :: [ 28^3 ]

E19.808 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y2^2 * Y1 * Y2 * Y1^3, Y1 * Y2^-1 * Y1 * Y2^-8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 25, 67, 28, 70, 35, 77, 42, 84, 39, 81, 30, 72, 19, 61, 22, 64, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 24, 66, 13, 55, 18, 60, 27, 69, 34, 76, 41, 83, 38, 80, 29, 71, 32, 74, 21, 63, 10, 52)(5, 47, 8, 50, 16, 58, 26, 68, 33, 75, 36, 78, 37, 79, 40, 82, 31, 73, 20, 62, 9, 51, 17, 59, 23, 65, 12, 54)(85, 127, 87, 129, 93, 135, 103, 145, 113, 155, 121, 163, 119, 161, 111, 153, 100, 142, 90, 132, 99, 141, 107, 149, 95, 137, 105, 147, 115, 157, 123, 165, 125, 167, 117, 159, 109, 151, 97, 139, 89, 131)(86, 128, 91, 133, 101, 143, 106, 148, 116, 158, 124, 166, 126, 168, 118, 160, 110, 152, 98, 140, 108, 150, 96, 138, 88, 130, 94, 136, 104, 146, 114, 156, 122, 164, 120, 162, 112, 154, 102, 144, 92, 134)
	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, 114)(20, 115)(21, 116)(22, 103)(23, 101)(24, 99)(25, 98)(26, 100)(27, 102)(28, 109)(29, 122)(30, 123)(31, 124)(32, 113)(33, 110)(34, 111)(35, 112)(36, 117)(37, 120)(38, 125)(39, 126)(40, 121)(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, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ), ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 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 E19.824
Graph:: bipartite
	v = 5 e = 84 f = 43
	degree seq :: [ 28^3, 42^2 ]

E19.809 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y1^-1, Y2), Y1^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y1^2 * Y2 * Y3^2 * Y1^-1, Y2^-5 * Y3^2 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^2 * Y3^-2 * Y2^-1, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 26, 68, 34, 76, 19, 61, 31, 73, 25, 67, 32, 74, 37, 79, 22, 64, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 27, 69, 39, 81, 41, 83, 33, 75, 24, 66, 13, 55, 18, 60, 30, 72, 36, 78, 21, 63, 10, 52)(5, 47, 8, 50, 16, 58, 28, 70, 35, 77, 20, 62, 9, 51, 17, 59, 29, 71, 40, 82, 42, 84, 38, 80, 23, 65, 12, 54)(85, 127, 87, 129, 93, 135, 103, 145, 117, 159, 107, 149, 95, 137, 105, 147, 119, 161, 110, 152, 123, 165, 126, 168, 121, 163, 114, 156, 100, 142, 90, 132, 99, 141, 113, 155, 109, 151, 97, 139, 89, 131)(86, 128, 91, 133, 101, 143, 115, 157, 108, 150, 96, 138, 88, 130, 94, 136, 104, 146, 118, 160, 125, 167, 122, 164, 106, 148, 120, 162, 112, 154, 98, 140, 111, 153, 124, 166, 116, 158, 102, 144, 92, 134)
	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, 118)(20, 119)(21, 120)(22, 121)(23, 122)(24, 117)(25, 115)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 109)(33, 125)(34, 110)(35, 112)(36, 114)(37, 116)(38, 126)(39, 111)(40, 113)(41, 123)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ), ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 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 E19.826
Graph:: bipartite
	v = 5 e = 84 f = 43
	degree seq :: [ 28^3, 42^2 ]

E19.810 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y2 * Y3 * Y2^5 * Y1^-1, Y1^4 * Y2 * Y1 * Y2^2 * Y3^-1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-3, Y1^2 * Y2 * Y1^2 * Y2^2 * Y3^-2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 26, 68, 38, 80, 25, 67, 32, 74, 19, 61, 31, 73, 35, 77, 22, 64, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 27, 69, 37, 79, 24, 66, 13, 55, 18, 60, 30, 72, 40, 82, 42, 84, 34, 76, 21, 63, 10, 52)(5, 47, 8, 50, 16, 58, 28, 70, 39, 81, 41, 83, 33, 75, 20, 62, 9, 51, 17, 59, 29, 71, 36, 78, 23, 65, 12, 54)(85, 127, 87, 129, 93, 135, 103, 145, 114, 156, 100, 142, 90, 132, 99, 141, 113, 155, 119, 161, 126, 168, 123, 165, 110, 152, 121, 163, 107, 149, 95, 137, 105, 147, 117, 159, 109, 151, 97, 139, 89, 131)(86, 128, 91, 133, 101, 143, 115, 157, 124, 166, 112, 154, 98, 140, 111, 153, 120, 162, 106, 148, 118, 160, 125, 167, 122, 164, 108, 150, 96, 138, 88, 130, 94, 136, 104, 146, 116, 158, 102, 144, 92, 134)
	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, 116)(20, 117)(21, 118)(22, 119)(23, 120)(24, 121)(25, 122)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 109)(33, 125)(34, 126)(35, 115)(36, 113)(37, 111)(38, 110)(39, 112)(40, 114)(41, 123)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ), ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 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 E19.823
Graph:: bipartite
	v = 5 e = 84 f = 43
	degree seq :: [ 28^3, 42^2 ]

E19.811 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-2 * Y1^-2, (R * Y2)^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2^3 * Y1^2, Y1^-14, Y3^14, Y1^14 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 20, 62, 26, 68, 32, 74, 38, 80, 37, 79, 31, 73, 25, 67, 19, 61, 11, 53, 4, 46)(3, 45, 7, 49, 13, 55, 16, 58, 22, 64, 28, 70, 34, 76, 40, 82, 42, 84, 36, 78, 30, 72, 24, 66, 18, 60, 10, 52)(5, 47, 8, 50, 15, 57, 21, 63, 27, 69, 33, 75, 39, 81, 41, 83, 35, 77, 29, 71, 23, 65, 17, 59, 9, 51, 12, 54)(85, 127, 87, 129, 93, 135, 95, 137, 102, 144, 107, 149, 109, 151, 114, 156, 119, 161, 121, 163, 126, 168, 123, 165, 116, 158, 118, 160, 111, 153, 104, 146, 106, 148, 99, 141, 90, 132, 97, 139, 89, 131)(86, 128, 91, 133, 96, 138, 88, 130, 94, 136, 101, 143, 103, 145, 108, 150, 113, 155, 115, 157, 120, 162, 125, 167, 122, 164, 124, 166, 117, 159, 110, 152, 112, 154, 105, 147, 98, 140, 100, 142, 92, 134)
	L = (1, 88)(2, 85)(3, 94)(4, 95)(5, 96)(6, 86)(7, 87)(8, 89)(9, 101)(10, 102)(11, 103)(12, 93)(13, 91)(14, 90)(15, 92)(16, 97)(17, 107)(18, 108)(19, 109)(20, 98)(21, 99)(22, 100)(23, 113)(24, 114)(25, 115)(26, 104)(27, 105)(28, 106)(29, 119)(30, 120)(31, 121)(32, 110)(33, 111)(34, 112)(35, 125)(36, 126)(37, 122)(38, 116)(39, 117)(40, 118)(41, 123)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ), ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 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 E19.825
Graph:: bipartite
	v = 5 e = 84 f = 43
	degree seq :: [ 28^3, 42^2 ]

E19.812 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^3 * Y3^2, Y1^14, Y3^14, Y1^7 * Y3^-7, Y3^28 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 20, 62, 26, 68, 32, 74, 38, 80, 35, 77, 29, 71, 23, 65, 17, 59, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 21, 63, 27, 69, 33, 75, 39, 81, 42, 84, 37, 79, 31, 73, 25, 67, 19, 61, 13, 55, 10, 52)(5, 47, 8, 50, 9, 51, 16, 58, 22, 64, 28, 70, 34, 76, 40, 82, 41, 83, 36, 78, 30, 72, 24, 66, 18, 60, 12, 54)(85, 127, 87, 129, 93, 135, 90, 132, 99, 141, 106, 148, 104, 146, 111, 153, 118, 160, 116, 158, 123, 165, 125, 167, 119, 161, 121, 163, 114, 156, 107, 149, 109, 151, 102, 144, 95, 137, 97, 139, 89, 131)(86, 128, 91, 133, 100, 142, 98, 140, 105, 147, 112, 154, 110, 152, 117, 159, 124, 166, 122, 164, 126, 168, 120, 162, 113, 155, 115, 157, 108, 150, 101, 143, 103, 145, 96, 138, 88, 130, 94, 136, 92, 134)
	L = (1, 88)(2, 85)(3, 94)(4, 95)(5, 96)(6, 86)(7, 87)(8, 89)(9, 92)(10, 97)(11, 101)(12, 102)(13, 103)(14, 90)(15, 91)(16, 93)(17, 107)(18, 108)(19, 109)(20, 98)(21, 99)(22, 100)(23, 113)(24, 114)(25, 115)(26, 104)(27, 105)(28, 106)(29, 119)(30, 120)(31, 121)(32, 110)(33, 111)(34, 112)(35, 122)(36, 125)(37, 126)(38, 116)(39, 117)(40, 118)(41, 124)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.827
Graph:: bipartite
	v = 5 e = 84 f = 43
	degree seq :: [ 28^3, 42^2 ]

E19.813 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y1 * Y2^-2, R * Y2 * R * Y3, (R * Y1)^2, Y1^21, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 10, 52, 14, 56, 18, 60, 22, 64, 26, 68, 30, 72, 34, 76, 38, 80, 40, 82, 36, 78, 32, 74, 28, 70, 24, 66, 20, 62, 16, 58, 12, 54, 8, 50, 4, 46)(3, 45, 7, 49, 11, 53, 15, 57, 19, 61, 23, 65, 27, 69, 31, 73, 35, 77, 39, 81, 42, 84, 41, 83, 37, 79, 33, 75, 29, 71, 25, 67, 21, 63, 17, 59, 13, 55, 9, 51, 5, 47)(85, 127, 87, 129, 86, 128, 91, 133, 90, 132, 95, 137, 94, 136, 99, 141, 98, 140, 103, 145, 102, 144, 107, 149, 106, 148, 111, 153, 110, 152, 115, 157, 114, 156, 119, 161, 118, 160, 123, 165, 122, 164, 126, 168, 124, 166, 125, 167, 120, 162, 121, 163, 116, 158, 117, 159, 112, 154, 113, 155, 108, 150, 109, 151, 104, 146, 105, 147, 100, 142, 101, 143, 96, 138, 97, 139, 92, 134, 93, 135, 88, 130, 89, 131)
	L = (1, 87)(2, 91)(3, 86)(4, 89)(5, 85)(6, 95)(7, 90)(8, 93)(9, 88)(10, 99)(11, 94)(12, 97)(13, 92)(14, 103)(15, 98)(16, 101)(17, 96)(18, 107)(19, 102)(20, 105)(21, 100)(22, 111)(23, 106)(24, 109)(25, 104)(26, 115)(27, 110)(28, 113)(29, 108)(30, 119)(31, 114)(32, 117)(33, 112)(34, 123)(35, 118)(36, 121)(37, 116)(38, 126)(39, 122)(40, 125)(41, 120)(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) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 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 E19.819
Graph:: bipartite
	v = 3 e = 84 f = 45
	degree seq :: [ 42^2, 84 ]

E19.814 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 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, (Y2^-1, Y1^-1), (R * Y1)^2, Y2 * Y1 * Y2^3, Y2 * Y1^-1 * Y2 * Y1^-9, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 22, 64, 30, 72, 38, 80, 34, 76, 26, 68, 18, 60, 9, 51, 13, 55, 17, 59, 25, 67, 33, 75, 41, 83, 36, 78, 28, 70, 20, 62, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 23, 65, 31, 73, 39, 81, 42, 84, 37, 79, 29, 71, 21, 63, 12, 54, 5, 47, 8, 50, 16, 58, 24, 66, 32, 74, 40, 82, 35, 77, 27, 69, 19, 61, 10, 52)(85, 127, 87, 129, 93, 135, 96, 138, 88, 130, 94, 136, 102, 144, 105, 147, 95, 137, 103, 145, 110, 152, 113, 155, 104, 146, 111, 153, 118, 160, 121, 163, 112, 154, 119, 161, 122, 164, 126, 168, 120, 162, 124, 166, 114, 156, 123, 165, 125, 167, 116, 158, 106, 148, 115, 157, 117, 159, 108, 150, 98, 140, 107, 149, 109, 151, 100, 142, 90, 132, 99, 141, 101, 143, 92, 134, 86, 128, 91, 133, 97, 139, 89, 131)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 99)(7, 97)(8, 86)(9, 96)(10, 102)(11, 103)(12, 88)(13, 89)(14, 107)(15, 101)(16, 90)(17, 92)(18, 105)(19, 110)(20, 111)(21, 95)(22, 115)(23, 109)(24, 98)(25, 100)(26, 113)(27, 118)(28, 119)(29, 104)(30, 123)(31, 117)(32, 106)(33, 108)(34, 121)(35, 122)(36, 124)(37, 112)(38, 126)(39, 125)(40, 114)(41, 116)(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, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 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 E19.820
Graph:: bipartite
	v = 3 e = 84 f = 45
	degree seq :: [ 42^2, 84 ]

E19.815 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 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), Y2^-4 * Y1^5, Y2^6 * Y1^3, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 26, 68, 33, 75, 39, 81, 24, 66, 13, 55, 18, 60, 30, 72, 35, 77, 20, 62, 9, 51, 17, 59, 29, 71, 41, 83, 37, 79, 22, 64, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 27, 69, 42, 84, 38, 80, 23, 65, 12, 54, 5, 47, 8, 50, 16, 58, 28, 70, 34, 76, 19, 61, 31, 73, 40, 82, 25, 67, 32, 74, 36, 78, 21, 63, 10, 52)(85, 127, 87, 129, 93, 135, 103, 145, 117, 159, 122, 164, 106, 148, 120, 162, 114, 156, 100, 142, 90, 132, 99, 141, 113, 155, 124, 166, 108, 150, 96, 138, 88, 130, 94, 136, 104, 146, 118, 160, 110, 152, 126, 168, 121, 163, 116, 158, 102, 144, 92, 134, 86, 128, 91, 133, 101, 143, 115, 157, 123, 165, 107, 149, 95, 137, 105, 147, 119, 161, 112, 154, 98, 140, 111, 153, 125, 167, 109, 151, 97, 139, 89, 131)
	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, 117)(20, 118)(21, 119)(22, 120)(23, 95)(24, 96)(25, 97)(26, 126)(27, 125)(28, 98)(29, 124)(30, 100)(31, 123)(32, 102)(33, 122)(34, 110)(35, 112)(36, 114)(37, 116)(38, 106)(39, 107)(40, 108)(41, 109)(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, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 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 E19.818
Graph:: bipartite
	v = 3 e = 84 f = 45
	degree seq :: [ 42^2, 84 ]

E19.816 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2^-1, Y1^-1), (R * Y1)^2, R * Y2 * R * Y3, Y1^3 * Y2 * Y1 * Y2 * Y1, Y2^2 * Y1^-1 * Y2^6, Y1^2 * Y2^-2 * Y1^3 * Y2^4, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 24, 66, 13, 55, 18, 60, 27, 69, 36, 78, 41, 83, 35, 77, 30, 72, 38, 80, 40, 82, 32, 74, 20, 62, 9, 51, 17, 59, 22, 64, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 23, 65, 12, 54, 5, 47, 8, 50, 16, 58, 26, 68, 34, 76, 25, 67, 29, 71, 37, 79, 42, 84, 39, 81, 31, 73, 19, 61, 28, 70, 33, 75, 21, 63, 10, 52)(85, 127, 87, 129, 93, 135, 103, 145, 114, 156, 113, 155, 102, 144, 92, 134, 86, 128, 91, 133, 101, 143, 112, 154, 122, 164, 121, 163, 111, 153, 100, 142, 90, 132, 99, 141, 106, 148, 117, 159, 124, 166, 126, 168, 120, 162, 110, 152, 98, 140, 107, 149, 95, 137, 105, 147, 116, 158, 123, 165, 125, 167, 118, 160, 108, 150, 96, 138, 88, 130, 94, 136, 104, 146, 115, 157, 119, 161, 109, 151, 97, 139, 89, 131)
	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, 107)(15, 106)(16, 90)(17, 112)(18, 92)(19, 114)(20, 115)(21, 116)(22, 117)(23, 95)(24, 96)(25, 97)(26, 98)(27, 100)(28, 122)(29, 102)(30, 113)(31, 119)(32, 123)(33, 124)(34, 108)(35, 109)(36, 110)(37, 111)(38, 121)(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) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 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 E19.821
Graph:: bipartite
	v = 3 e = 84 f = 45
	degree seq :: [ 42^2, 84 ]

E19.817 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 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^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y2 * Y1 * Y2^9, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 9, 51, 17, 59, 24, 66, 31, 73, 27, 69, 33, 75, 40, 82, 42, 84, 37, 79, 30, 72, 34, 76, 28, 70, 21, 63, 13, 55, 18, 60, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 23, 65, 19, 61, 25, 67, 32, 74, 39, 81, 35, 77, 38, 80, 41, 83, 36, 78, 29, 71, 22, 64, 26, 68, 20, 62, 12, 54, 5, 47, 8, 50, 16, 58, 10, 52)(85, 127, 87, 129, 93, 135, 103, 145, 111, 153, 119, 161, 121, 163, 113, 155, 105, 147, 96, 138, 88, 130, 94, 136, 98, 140, 107, 149, 115, 157, 123, 165, 126, 168, 120, 162, 112, 154, 104, 146, 95, 137, 100, 142, 90, 132, 99, 141, 108, 150, 116, 158, 124, 166, 125, 167, 118, 160, 110, 152, 102, 144, 92, 134, 86, 128, 91, 133, 101, 143, 109, 151, 117, 159, 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, 122)(34, 110)(35, 121)(36, 112)(37, 113)(38, 114)(39, 126)(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, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 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 E19.822
Graph:: bipartite
	v = 3 e = 84 f = 45
	degree seq :: [ 42^2, 84 ]

E19.818 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 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), Y2^-3 * Y3^-3, Y3^-12 * Y2^2, Y3^7 * Y2^-1 * Y3 * Y2^-4 * Y3, Y2^14, (Y2^-1 * Y3)^21, (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, 112, 154, 118, 160, 124, 166, 121, 163, 117, 159, 110, 152, 103, 145, 95, 137, 88, 130)(87, 129, 91, 133, 99, 141, 97, 139, 102, 144, 108, 150, 114, 156, 120, 162, 126, 168, 123, 165, 116, 158, 109, 151, 105, 147, 94, 136)(89, 131, 92, 134, 100, 142, 107, 149, 113, 155, 119, 161, 125, 167, 122, 164, 115, 157, 111, 153, 104, 146, 93, 135, 101, 143, 96, 138)
	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, 97)(15, 96)(16, 90)(17, 95)(18, 92)(19, 109)(20, 110)(21, 111)(22, 102)(23, 98)(24, 100)(25, 115)(26, 116)(27, 117)(28, 108)(29, 106)(30, 107)(31, 121)(32, 122)(33, 123)(34, 114)(35, 112)(36, 113)(37, 126)(38, 124)(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) :: { ( 42, 84 ), ( 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84 ) }
Outer automorphisms :: reflexible
Dual of E19.815
Graph:: simple bipartite
	v = 45 e = 84 f = 3
	degree seq :: [ 2^42, 28^3 ]

E19.819 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^14, (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, 96, 138, 102, 144, 108, 150, 114, 156, 120, 162, 118, 160, 112, 154, 106, 148, 100, 142, 94, 136, 88, 130)(87, 129, 91, 133, 97, 139, 103, 145, 109, 151, 115, 157, 121, 163, 125, 167, 123, 165, 117, 159, 111, 153, 105, 147, 99, 141, 93, 135)(89, 131, 92, 134, 98, 140, 104, 146, 110, 152, 116, 158, 122, 164, 126, 168, 124, 166, 119, 161, 113, 155, 107, 149, 101, 143, 95, 137)
	L = (1, 87)(2, 91)(3, 92)(4, 93)(5, 85)(6, 97)(7, 98)(8, 86)(9, 89)(10, 99)(11, 88)(12, 103)(13, 104)(14, 90)(15, 95)(16, 105)(17, 94)(18, 109)(19, 110)(20, 96)(21, 101)(22, 111)(23, 100)(24, 115)(25, 116)(26, 102)(27, 107)(28, 117)(29, 106)(30, 121)(31, 122)(32, 108)(33, 113)(34, 123)(35, 112)(36, 125)(37, 126)(38, 114)(39, 119)(40, 118)(41, 124)(42, 120)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 42, 84 ), ( 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84 ) }
Outer automorphisms :: reflexible
Dual of E19.813
Graph:: simple bipartite
	v = 45 e = 84 f = 3
	degree seq :: [ 2^42, 28^3 ]

E19.820 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^-3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, (Y3^-1, Y2^-1), Y2^14, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-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, 96, 138, 102, 144, 108, 150, 114, 156, 120, 162, 119, 161, 113, 155, 107, 149, 101, 143, 95, 137, 88, 130)(87, 129, 91, 133, 97, 139, 103, 145, 109, 151, 115, 157, 121, 163, 125, 167, 124, 166, 118, 160, 112, 154, 106, 148, 100, 142, 94, 136)(89, 131, 92, 134, 98, 140, 104, 146, 110, 152, 116, 158, 122, 164, 126, 168, 123, 165, 117, 159, 111, 153, 105, 147, 99, 141, 93, 135)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 97)(7, 89)(8, 86)(9, 88)(10, 99)(11, 100)(12, 103)(13, 92)(14, 90)(15, 95)(16, 105)(17, 106)(18, 109)(19, 98)(20, 96)(21, 101)(22, 111)(23, 112)(24, 115)(25, 104)(26, 102)(27, 107)(28, 117)(29, 118)(30, 121)(31, 110)(32, 108)(33, 113)(34, 123)(35, 124)(36, 125)(37, 116)(38, 114)(39, 119)(40, 126)(41, 122)(42, 120)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 42, 84 ), ( 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84 ) }
Outer automorphisms :: reflexible
Dual of E19.814
Graph:: simple bipartite
	v = 45 e = 84 f = 3
	degree seq :: [ 2^42, 28^3 ]

E19.821 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 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 * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y3^2 * Y2^-1 * Y3 * Y2^-4, Y2^3 * Y3 * Y2 * Y3^5, Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^2 * Y3 * Y2, (Y3^-1 * Y1^-1)^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, 110, 152, 103, 145, 115, 157, 124, 166, 120, 162, 109, 151, 116, 158, 106, 148, 95, 137, 88, 130)(87, 129, 91, 133, 99, 141, 111, 153, 122, 164, 117, 159, 125, 167, 119, 161, 108, 150, 97, 139, 102, 144, 114, 156, 105, 147, 94, 136)(89, 131, 92, 134, 100, 142, 112, 154, 104, 146, 93, 135, 101, 143, 113, 155, 123, 165, 121, 163, 126, 168, 118, 160, 107, 149, 96, 138)
	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, 117)(20, 110)(21, 112)(22, 114)(23, 95)(24, 96)(25, 97)(26, 122)(27, 123)(28, 98)(29, 124)(30, 100)(31, 125)(32, 102)(33, 126)(34, 106)(35, 107)(36, 108)(37, 109)(38, 121)(39, 120)(40, 119)(41, 118)(42, 116)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 42, 84 ), ( 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84 ) }
Outer automorphisms :: reflexible
Dual of E19.816
Graph:: simple bipartite
	v = 45 e = 84 f = 3
	degree seq :: [ 2^42, 28^3 ]

E19.822 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 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, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2^-2 * Y3 * Y2^2, Y2^-3 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1, Y2^2 * Y3^-1 * Y2 * Y3^-5 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 110, 152, 109, 151, 116, 158, 124, 166, 118, 160, 103, 145, 115, 157, 106, 148, 95, 137, 88, 130)(87, 129, 91, 133, 99, 141, 111, 153, 108, 150, 97, 139, 102, 144, 114, 156, 123, 165, 117, 159, 125, 167, 120, 162, 105, 147, 94, 136)(89, 131, 92, 134, 100, 142, 112, 154, 122, 164, 121, 163, 126, 168, 119, 161, 104, 146, 93, 135, 101, 143, 113, 155, 107, 149, 96, 138)
	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, 117)(20, 118)(21, 119)(22, 120)(23, 95)(24, 96)(25, 97)(26, 108)(27, 107)(28, 98)(29, 106)(30, 100)(31, 125)(32, 102)(33, 122)(34, 123)(35, 124)(36, 126)(37, 109)(38, 110)(39, 112)(40, 114)(41, 121)(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) :: { ( 42, 84 ), ( 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84 ) }
Outer automorphisms :: reflexible
Dual of E19.817
Graph:: simple bipartite
	v = 45 e = 84 f = 3
	degree seq :: [ 2^42, 28^3 ]

E19.823 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-1 * Y3 * Y1^-2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1, Y1^-4 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-6, (Y3 * Y2^-1)^14, (Y1^-1 * Y3^-1)^21 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 22, 64, 28, 70, 34, 76, 40, 82, 39, 81, 33, 75, 27, 69, 21, 63, 13, 55, 18, 60, 10, 52, 3, 45, 7, 49, 15, 57, 23, 65, 29, 71, 35, 77, 41, 83, 38, 80, 32, 74, 26, 68, 20, 62, 12, 54, 5, 47, 8, 50, 16, 58, 9, 51, 17, 59, 24, 66, 30, 72, 36, 78, 42, 84, 37, 79, 31, 73, 25, 67, 19, 61, 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, 98)(10, 100)(11, 102)(12, 88)(13, 89)(14, 107)(15, 108)(16, 90)(17, 106)(18, 92)(19, 97)(20, 95)(21, 96)(22, 113)(23, 114)(24, 112)(25, 105)(26, 103)(27, 104)(28, 119)(29, 120)(30, 118)(31, 111)(32, 109)(33, 110)(34, 125)(35, 126)(36, 124)(37, 117)(38, 115)(39, 116)(40, 122)(41, 121)(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) :: { ( 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, 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, 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 E19.810
Graph:: bipartite
	v = 43 e = 84 f = 5
	degree seq :: [ 2^42, 84 ]

E19.824 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3 * Y1^-3, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), (R * Y2 * Y3^-1)^2, Y3^14, (Y3 * Y2^-1)^14, (Y1^-1 * Y3^-1)^21 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 3, 45, 7, 49, 12, 54, 9, 51, 13, 55, 18, 60, 15, 57, 19, 61, 24, 66, 21, 63, 25, 67, 30, 72, 27, 69, 31, 73, 36, 78, 33, 75, 37, 79, 41, 83, 39, 81, 42, 84, 40, 82, 35, 77, 38, 80, 34, 76, 29, 71, 32, 74, 28, 70, 23, 65, 26, 68, 22, 64, 17, 59, 20, 62, 16, 58, 11, 53, 14, 56, 10, 52, 5, 47, 8, 50, 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, 90)(5, 85)(6, 96)(7, 97)(8, 86)(9, 99)(10, 88)(11, 89)(12, 102)(13, 103)(14, 92)(15, 105)(16, 94)(17, 95)(18, 108)(19, 109)(20, 98)(21, 111)(22, 100)(23, 101)(24, 114)(25, 115)(26, 104)(27, 117)(28, 106)(29, 107)(30, 120)(31, 121)(32, 110)(33, 123)(34, 112)(35, 113)(36, 125)(37, 126)(38, 116)(39, 119)(40, 118)(41, 124)(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, 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, 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 E19.808
Graph:: bipartite
	v = 43 e = 84 f = 5
	degree seq :: [ 2^42, 84 ]

E19.825 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^-3 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^14, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 5, 47, 8, 50, 12, 54, 11, 53, 14, 56, 18, 60, 17, 59, 20, 62, 24, 66, 23, 65, 26, 68, 30, 72, 29, 71, 32, 74, 36, 78, 35, 77, 38, 80, 41, 83, 39, 81, 42, 84, 40, 82, 33, 75, 37, 79, 34, 76, 27, 69, 31, 73, 28, 70, 21, 63, 25, 67, 22, 64, 15, 57, 19, 61, 16, 58, 9, 51, 13, 55, 10, 52, 3, 45, 7, 49, 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, 88)(7, 97)(8, 86)(9, 99)(10, 100)(11, 89)(12, 90)(13, 103)(14, 92)(15, 105)(16, 106)(17, 95)(18, 96)(19, 109)(20, 98)(21, 111)(22, 112)(23, 101)(24, 102)(25, 115)(26, 104)(27, 117)(28, 118)(29, 107)(30, 108)(31, 121)(32, 110)(33, 123)(34, 124)(35, 113)(36, 114)(37, 126)(38, 116)(39, 119)(40, 125)(41, 120)(42, 122)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 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, 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, 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 E19.811
Graph:: bipartite
	v = 43 e = 84 f = 5
	degree seq :: [ 2^42, 84 ]

E19.826 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 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, (Y3, Y1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^4 * Y1^-1 * Y3 * Y1^-2, Y1^-1 * Y3^-4 * Y1^-5, (Y3 * Y2^-1)^14, (Y1^-1 * Y3^-1)^21 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 26, 68, 38, 80, 33, 75, 21, 63, 10, 52, 3, 45, 7, 49, 15, 57, 27, 69, 39, 81, 37, 79, 25, 67, 32, 74, 20, 62, 9, 51, 17, 59, 29, 71, 41, 83, 36, 78, 24, 66, 13, 55, 18, 60, 30, 72, 19, 61, 31, 73, 42, 84, 35, 77, 23, 65, 12, 54, 5, 47, 8, 50, 16, 58, 28, 70, 40, 82, 34, 76, 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, 112)(20, 114)(21, 116)(22, 117)(23, 95)(24, 96)(25, 97)(26, 123)(27, 125)(28, 98)(29, 126)(30, 100)(31, 124)(32, 102)(33, 109)(34, 122)(35, 106)(36, 107)(37, 108)(38, 121)(39, 120)(40, 110)(41, 119)(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) :: { ( 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, 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, 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 E19.809
Graph:: bipartite
	v = 43 e = 84 f = 5
	degree seq :: [ 2^42, 84 ]

E19.827 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-3 * Y3^-5, Y3^-5 * Y1^-3, Y3^4 * Y1^-6, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 26, 68, 38, 80, 33, 75, 23, 65, 12, 54, 5, 47, 8, 50, 16, 58, 28, 70, 40, 82, 34, 76, 19, 61, 31, 73, 24, 66, 13, 55, 18, 60, 30, 72, 41, 83, 35, 77, 20, 62, 9, 51, 17, 59, 29, 71, 25, 67, 32, 74, 42, 84, 36, 78, 21, 63, 10, 52, 3, 45, 7, 49, 15, 57, 27, 69, 39, 81, 37, 79, 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, 117)(20, 118)(21, 119)(22, 120)(23, 95)(24, 96)(25, 97)(26, 123)(27, 109)(28, 98)(29, 108)(30, 100)(31, 107)(32, 102)(33, 106)(34, 122)(35, 124)(36, 125)(37, 126)(38, 121)(39, 116)(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) :: { ( 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, 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, 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 E19.812
Graph:: bipartite
	v = 43 e = 84 f = 5
	degree seq :: [ 2^42, 84 ]

E19.828 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (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, Y3^5 * Y2^-1 * Y1^-3 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1, Y1^14, 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, Y2^42 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 22, 64, 28, 70, 34, 76, 40, 82, 37, 79, 31, 73, 25, 67, 19, 61, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 23, 65, 29, 71, 35, 77, 41, 83, 39, 81, 33, 75, 27, 69, 21, 63, 13, 55, 18, 60, 10, 52)(5, 47, 8, 50, 16, 58, 9, 51, 17, 59, 24, 66, 30, 72, 36, 78, 42, 84, 38, 80, 32, 74, 26, 68, 20, 62, 12, 54)(85, 127, 87, 129, 93, 135, 98, 140, 107, 149, 114, 156, 118, 160, 125, 167, 122, 164, 115, 157, 111, 153, 104, 146, 95, 137, 102, 144, 92, 134, 86, 128, 91, 133, 101, 143, 106, 148, 113, 155, 120, 162, 124, 166, 123, 165, 116, 158, 109, 151, 105, 147, 96, 138, 88, 130, 94, 136, 100, 142, 90, 132, 99, 141, 108, 150, 112, 154, 119, 161, 126, 168, 121, 163, 117, 159, 110, 152, 103, 145, 97, 139, 89, 131)
	L = (1, 88)(2, 85)(3, 94)(4, 95)(5, 96)(6, 86)(7, 87)(8, 89)(9, 100)(10, 102)(11, 103)(12, 104)(13, 105)(14, 90)(15, 91)(16, 92)(17, 93)(18, 97)(19, 109)(20, 110)(21, 111)(22, 98)(23, 99)(24, 101)(25, 115)(26, 116)(27, 117)(28, 106)(29, 107)(30, 108)(31, 121)(32, 122)(33, 123)(34, 112)(35, 113)(36, 114)(37, 124)(38, 126)(39, 125)(40, 118)(41, 119)(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 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ) }
Outer automorphisms :: reflexible
Dual of E19.835
Graph:: bipartite
	v = 4 e = 84 f = 44
	degree seq :: [ 28^3, 84 ]

E19.829 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y2^-3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y1^14, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 12, 54, 18, 60, 24, 66, 30, 72, 36, 78, 35, 77, 29, 71, 23, 65, 17, 59, 11, 53, 4, 46)(3, 45, 7, 49, 13, 55, 19, 61, 25, 67, 31, 73, 37, 79, 41, 83, 40, 82, 34, 76, 28, 70, 22, 64, 16, 58, 10, 52)(5, 47, 8, 50, 14, 56, 20, 62, 26, 68, 32, 74, 38, 80, 42, 84, 39, 81, 33, 75, 27, 69, 21, 63, 15, 57, 9, 51)(85, 127, 87, 129, 93, 135, 88, 130, 94, 136, 99, 141, 95, 137, 100, 142, 105, 147, 101, 143, 106, 148, 111, 153, 107, 149, 112, 154, 117, 159, 113, 155, 118, 160, 123, 165, 119, 161, 124, 166, 126, 168, 120, 162, 125, 167, 122, 164, 114, 156, 121, 163, 116, 158, 108, 150, 115, 157, 110, 152, 102, 144, 109, 151, 104, 146, 96, 138, 103, 145, 98, 140, 90, 132, 97, 139, 92, 134, 86, 128, 91, 133, 89, 131)
	L = (1, 88)(2, 85)(3, 94)(4, 95)(5, 93)(6, 86)(7, 87)(8, 89)(9, 99)(10, 100)(11, 101)(12, 90)(13, 91)(14, 92)(15, 105)(16, 106)(17, 107)(18, 96)(19, 97)(20, 98)(21, 111)(22, 112)(23, 113)(24, 102)(25, 103)(26, 104)(27, 117)(28, 118)(29, 119)(30, 108)(31, 109)(32, 110)(33, 123)(34, 124)(35, 120)(36, 114)(37, 115)(38, 116)(39, 126)(40, 125)(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, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 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 E19.833
Graph:: bipartite
	v = 4 e = 84 f = 44
	degree seq :: [ 28^3, 84 ]

E19.830 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y2^-3 * Y3^-1, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (Y2, Y3^-1), Y3^14, Y1^14, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 12, 54, 18, 60, 24, 66, 30, 72, 36, 78, 34, 76, 28, 70, 22, 64, 16, 58, 10, 52, 4, 46)(3, 45, 7, 49, 13, 55, 19, 61, 25, 67, 31, 73, 37, 79, 41, 83, 39, 81, 33, 75, 27, 69, 21, 63, 15, 57, 9, 51)(5, 47, 8, 50, 14, 56, 20, 62, 26, 68, 32, 74, 38, 80, 42, 84, 40, 82, 35, 77, 29, 71, 23, 65, 17, 59, 11, 53)(85, 127, 87, 129, 92, 134, 86, 128, 91, 133, 98, 140, 90, 132, 97, 139, 104, 146, 96, 138, 103, 145, 110, 152, 102, 144, 109, 151, 116, 158, 108, 150, 115, 157, 122, 164, 114, 156, 121, 163, 126, 168, 120, 162, 125, 167, 124, 166, 118, 160, 123, 165, 119, 161, 112, 154, 117, 159, 113, 155, 106, 148, 111, 153, 107, 149, 100, 142, 105, 147, 101, 143, 94, 136, 99, 141, 95, 137, 88, 130, 93, 135, 89, 131)
	L = (1, 88)(2, 85)(3, 93)(4, 94)(5, 95)(6, 86)(7, 87)(8, 89)(9, 99)(10, 100)(11, 101)(12, 90)(13, 91)(14, 92)(15, 105)(16, 106)(17, 107)(18, 96)(19, 97)(20, 98)(21, 111)(22, 112)(23, 113)(24, 102)(25, 103)(26, 104)(27, 117)(28, 118)(29, 119)(30, 108)(31, 109)(32, 110)(33, 123)(34, 120)(35, 124)(36, 114)(37, 115)(38, 116)(39, 125)(40, 126)(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, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 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 E19.834
Graph:: bipartite
	v = 4 e = 84 f = 44
	degree seq :: [ 28^3, 84 ]

E19.831 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y2 * Y3 * Y2^-1 * Y1, (Y3^-1, Y2^-1), (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y2 * Y3 * Y2^2 * Y3 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2^2 * Y1^-3, Y2^6 * Y3^-1 * Y1^3, Y1^14, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 26, 68, 19, 61, 31, 73, 40, 82, 36, 78, 25, 67, 32, 74, 22, 64, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 27, 69, 38, 80, 33, 75, 41, 83, 35, 77, 24, 66, 13, 55, 18, 60, 30, 72, 21, 63, 10, 52)(5, 47, 8, 50, 16, 58, 28, 70, 20, 62, 9, 51, 17, 59, 29, 71, 39, 81, 37, 79, 42, 84, 34, 76, 23, 65, 12, 54)(85, 127, 87, 129, 93, 135, 103, 145, 117, 159, 126, 168, 116, 158, 102, 144, 92, 134, 86, 128, 91, 133, 101, 143, 115, 157, 125, 167, 118, 160, 106, 148, 114, 156, 100, 142, 90, 132, 99, 141, 113, 155, 124, 166, 119, 161, 107, 149, 95, 137, 105, 147, 112, 154, 98, 140, 111, 153, 123, 165, 120, 162, 108, 150, 96, 138, 88, 130, 94, 136, 104, 146, 110, 152, 122, 164, 121, 163, 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, 110)(20, 112)(21, 114)(22, 116)(23, 118)(24, 119)(25, 120)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 109)(33, 122)(34, 126)(35, 125)(36, 124)(37, 123)(38, 111)(39, 113)(40, 115)(41, 117)(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, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 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 E19.837
Graph:: bipartite
	v = 4 e = 84 f = 44
	degree seq :: [ 28^3, 84 ]

E19.832 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 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^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y3)^2, (Y2^-1, Y1), (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y2 * Y3^2 * Y2^-1 * Y1^2, Y3^2 * Y2 * Y1^2 * Y2^-1, Y3 * Y2^-1 * Y3^2 * Y2^-2 * Y1^-2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-3, Y2^4 * Y1^-2 * Y3^2 * Y2^2, Y1^-2 * Y2^2 * Y3^-1 * Y1^2 * Y2^-2 * Y1^-1, Y1^14, 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^-2 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 26, 68, 25, 67, 32, 74, 40, 82, 34, 76, 19, 61, 31, 73, 22, 64, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 27, 69, 24, 66, 13, 55, 18, 60, 30, 72, 39, 81, 33, 75, 41, 83, 36, 78, 21, 63, 10, 52)(5, 47, 8, 50, 16, 58, 28, 70, 38, 80, 37, 79, 42, 84, 35, 77, 20, 62, 9, 51, 17, 59, 29, 71, 23, 65, 12, 54)(85, 127, 87, 129, 93, 135, 103, 145, 117, 159, 122, 164, 110, 152, 108, 150, 96, 138, 88, 130, 94, 136, 104, 146, 118, 160, 123, 165, 112, 154, 98, 140, 111, 153, 107, 149, 95, 137, 105, 147, 119, 161, 124, 166, 114, 156, 100, 142, 90, 132, 99, 141, 113, 155, 106, 148, 120, 162, 126, 168, 116, 158, 102, 144, 92, 134, 86, 128, 91, 133, 101, 143, 115, 157, 125, 167, 121, 163, 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, 118)(20, 119)(21, 120)(22, 115)(23, 113)(24, 111)(25, 110)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 109)(33, 123)(34, 124)(35, 126)(36, 125)(37, 122)(38, 112)(39, 114)(40, 116)(41, 117)(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, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 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 E19.836
Graph:: bipartite
	v = 4 e = 84 f = 44
	degree seq :: [ 28^3, 84 ]

E19.833 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1 * Y3^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^21, (Y3^-1 * Y1^-1)^14, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 10, 52, 14, 56, 18, 60, 22, 64, 26, 68, 30, 72, 34, 76, 38, 80, 40, 82, 36, 78, 32, 74, 28, 70, 24, 66, 20, 62, 16, 58, 12, 54, 8, 50, 4, 46)(3, 45, 7, 49, 11, 53, 15, 57, 19, 61, 23, 65, 27, 69, 31, 73, 35, 77, 39, 81, 42, 84, 41, 83, 37, 79, 33, 75, 29, 71, 25, 67, 21, 63, 17, 59, 13, 55, 9, 51, 5, 47)(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, 86)(4, 89)(5, 85)(6, 95)(7, 90)(8, 93)(9, 88)(10, 99)(11, 94)(12, 97)(13, 92)(14, 103)(15, 98)(16, 101)(17, 96)(18, 107)(19, 102)(20, 105)(21, 100)(22, 111)(23, 106)(24, 109)(25, 104)(26, 115)(27, 110)(28, 113)(29, 108)(30, 119)(31, 114)(32, 117)(33, 112)(34, 123)(35, 118)(36, 121)(37, 116)(38, 126)(39, 122)(40, 125)(41, 120)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28, 84 ), ( 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84 ) }
Outer automorphisms :: reflexible
Dual of E19.829
Graph:: simple bipartite
	v = 44 e = 84 f = 4
	degree seq :: [ 2^42, 42^2 ]

E19.834 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 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), Y3^4 * Y1, (R * Y2 * Y3^-1)^2, (Y1^-5 * Y3)^2, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 22, 64, 30, 72, 38, 80, 34, 76, 26, 68, 18, 60, 9, 51, 13, 55, 17, 59, 25, 67, 33, 75, 41, 83, 36, 78, 28, 70, 20, 62, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 23, 65, 31, 73, 39, 81, 42, 84, 37, 79, 29, 71, 21, 63, 12, 54, 5, 47, 8, 50, 16, 58, 24, 66, 32, 74, 40, 82, 35, 77, 27, 69, 19, 61, 10, 52)(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, 97)(8, 86)(9, 96)(10, 102)(11, 103)(12, 88)(13, 89)(14, 107)(15, 101)(16, 90)(17, 92)(18, 105)(19, 110)(20, 111)(21, 95)(22, 115)(23, 109)(24, 98)(25, 100)(26, 113)(27, 118)(28, 119)(29, 104)(30, 123)(31, 117)(32, 106)(33, 108)(34, 121)(35, 122)(36, 124)(37, 112)(38, 126)(39, 125)(40, 114)(41, 116)(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) :: { ( 28, 84 ), ( 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84 ) }
Outer automorphisms :: reflexible
Dual of E19.830
Graph:: simple bipartite
	v = 44 e = 84 f = 4
	degree seq :: [ 2^42, 42^2 ]

E19.835 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 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^-4 * Y1^5, Y3^3 * Y1 * Y3^3 * 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^-3, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 26, 68, 33, 75, 39, 81, 24, 66, 13, 55, 18, 60, 30, 72, 35, 77, 20, 62, 9, 51, 17, 59, 29, 71, 41, 83, 37, 79, 22, 64, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 27, 69, 42, 84, 38, 80, 23, 65, 12, 54, 5, 47, 8, 50, 16, 58, 28, 70, 34, 76, 19, 61, 31, 73, 40, 82, 25, 67, 32, 74, 36, 78, 21, 63, 10, 52)(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, 117)(20, 118)(21, 119)(22, 120)(23, 95)(24, 96)(25, 97)(26, 126)(27, 125)(28, 98)(29, 124)(30, 100)(31, 123)(32, 102)(33, 122)(34, 110)(35, 112)(36, 114)(37, 116)(38, 106)(39, 107)(40, 108)(41, 109)(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, 84 ), ( 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84 ) }
Outer automorphisms :: reflexible
Dual of E19.828
Graph:: simple bipartite
	v = 44 e = 84 f = 4
	degree seq :: [ 2^42, 42^2 ]

E19.836 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^3 * Y3 * Y1 * Y3 * Y1, Y3^-8 * Y1, Y1^2 * Y3^-2 * Y1^3 * Y3^4, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 24, 66, 13, 55, 18, 60, 27, 69, 36, 78, 41, 83, 35, 77, 30, 72, 38, 80, 40, 82, 32, 74, 20, 62, 9, 51, 17, 59, 22, 64, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 23, 65, 12, 54, 5, 47, 8, 50, 16, 58, 26, 68, 34, 76, 25, 67, 29, 71, 37, 79, 42, 84, 39, 81, 31, 73, 19, 61, 28, 70, 33, 75, 21, 63, 10, 52)(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, 107)(15, 106)(16, 90)(17, 112)(18, 92)(19, 114)(20, 115)(21, 116)(22, 117)(23, 95)(24, 96)(25, 97)(26, 98)(27, 100)(28, 122)(29, 102)(30, 113)(31, 119)(32, 123)(33, 124)(34, 108)(35, 109)(36, 110)(37, 111)(38, 121)(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) :: { ( 28, 84 ), ( 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84 ) }
Outer automorphisms :: reflexible
Dual of E19.832
Graph:: simple bipartite
	v = 44 e = 84 f = 4
	degree seq :: [ 2^42, 42^2 ]

E19.837 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 21, 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), Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^9, (Y1^-1 * Y3^-1)^14, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 9, 51, 17, 59, 24, 66, 31, 73, 27, 69, 33, 75, 40, 82, 42, 84, 37, 79, 30, 72, 34, 76, 28, 70, 21, 63, 13, 55, 18, 60, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 23, 65, 19, 61, 25, 67, 32, 74, 39, 81, 35, 77, 38, 80, 41, 83, 36, 78, 29, 71, 22, 64, 26, 68, 20, 62, 12, 54, 5, 47, 8, 50, 16, 58, 10, 52)(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, 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, 122)(34, 110)(35, 121)(36, 112)(37, 113)(38, 114)(39, 126)(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) :: { ( 28, 84 ), ( 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84, 28, 84 ) }
Outer automorphisms :: reflexible
Dual of E19.831
Graph:: simple bipartite
	v = 44 e = 84 f = 4
	degree seq :: [ 2^42, 42^2 ]

E19.838 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 15, 15})
Quotient :: edge
Aut^+ = C15 x C3 (small group id <45, 2>)
Aut   = (C15 x C3) : C2 (small group id <90, 9>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6 * T2^-3, T1^3 * T2^6 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 38, 22, 36, 28, 14, 27, 41, 25, 13, 5)(2, 7, 17, 31, 39, 23, 11, 21, 35, 26, 42, 43, 32, 18, 8)(4, 10, 20, 34, 44, 45, 37, 30, 16, 6, 15, 29, 40, 24, 12)(46, 47, 51, 59, 71, 79, 64, 76, 85, 70, 77, 82, 67, 56, 49)(48, 52, 60, 72, 87, 89, 78, 84, 69, 58, 63, 75, 81, 66, 55)(50, 53, 61, 73, 80, 65, 54, 62, 74, 86, 88, 90, 83, 68, 57)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 30^15 ) }
Outer automorphisms :: reflexible
Dual of E19.839
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 45 f = 3
	degree seq :: [ 15^6 ]

E19.839 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 15, 15})
Quotient :: loop
Aut^+ = C15 x C3 (small group id <45, 2>)
Aut   = (C15 x C3) : C2 (small group id <90, 9>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (T2^-1, T1), (F * T2)^2, T2^3 * T1^-3, T1^15, T2^15 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 14, 59, 23, 68, 30, 75, 34, 79, 41, 86, 44, 89, 37, 82, 33, 78, 26, 71, 19, 64, 13, 58, 5, 50)(2, 47, 7, 52, 17, 62, 22, 67, 29, 74, 36, 81, 40, 85, 45, 90, 38, 83, 31, 76, 27, 72, 20, 65, 11, 56, 18, 63, 8, 53)(4, 49, 10, 55, 16, 61, 6, 51, 15, 60, 24, 69, 28, 73, 35, 80, 42, 87, 43, 88, 39, 84, 32, 77, 25, 70, 21, 66, 12, 57)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 59)(7, 60)(8, 61)(9, 62)(10, 48)(11, 49)(12, 50)(13, 63)(14, 67)(15, 68)(16, 54)(17, 69)(18, 55)(19, 56)(20, 57)(21, 58)(22, 73)(23, 74)(24, 75)(25, 64)(26, 65)(27, 66)(28, 79)(29, 80)(30, 81)(31, 70)(32, 71)(33, 72)(34, 85)(35, 86)(36, 87)(37, 76)(38, 77)(39, 78)(40, 88)(41, 90)(42, 89)(43, 82)(44, 83)(45, 84)
	local type(s) :: { ( 15^30 ) }
Outer automorphisms :: reflexible
Dual of E19.838
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 45 f = 6
	degree seq :: [ 30^3 ]

E19.840 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 15})
Quotient :: dipole
Aut^+ = C15 x C3 (small group id <45, 2>)
Aut   = (C15 x C3) : C2 (small group id <90, 9>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1 * Y3, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y1 * Y2^-1 * Y1^-2 * Y2^2 * Y3^-1 * Y2^-1, Y2^2 * Y1 * Y3^-1 * Y2^-2 * Y3^2, Y2^3 * Y1 * Y2^3 * Y3^-2, Y1^3 * Y2^-1 * Y1 * Y3^-2 * Y2^-2, Y1 * Y2^-1 * Y1 * Y2^-2 * Y3^-4, Y1^15, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y2^2 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 26, 71, 34, 79, 19, 64, 31, 76, 40, 85, 25, 70, 32, 77, 37, 82, 22, 67, 11, 56, 4, 49)(3, 48, 7, 52, 15, 60, 27, 72, 42, 87, 44, 89, 33, 78, 39, 84, 24, 69, 13, 58, 18, 63, 30, 75, 36, 81, 21, 66, 10, 55)(5, 50, 8, 53, 16, 61, 28, 73, 35, 80, 20, 65, 9, 54, 17, 62, 29, 74, 41, 86, 43, 88, 45, 90, 38, 83, 23, 68, 12, 57)(91, 136, 93, 138, 99, 144, 109, 154, 123, 168, 128, 173, 112, 157, 126, 171, 118, 163, 104, 149, 117, 162, 131, 176, 115, 160, 103, 148, 95, 140)(92, 137, 97, 142, 107, 152, 121, 166, 129, 174, 113, 158, 101, 146, 111, 156, 125, 170, 116, 161, 132, 177, 133, 178, 122, 167, 108, 153, 98, 143)(94, 139, 100, 145, 110, 155, 124, 169, 134, 179, 135, 180, 127, 172, 120, 165, 106, 151, 96, 141, 105, 150, 119, 164, 130, 175, 114, 159, 102, 147)
	L = (1, 94)(2, 91)(3, 100)(4, 101)(5, 102)(6, 92)(7, 93)(8, 95)(9, 110)(10, 111)(11, 112)(12, 113)(13, 114)(14, 96)(15, 97)(16, 98)(17, 99)(18, 103)(19, 124)(20, 125)(21, 126)(22, 127)(23, 128)(24, 129)(25, 130)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 115)(33, 134)(34, 116)(35, 118)(36, 120)(37, 122)(38, 135)(39, 123)(40, 121)(41, 119)(42, 117)(43, 131)(44, 132)(45, 133)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.841
Graph:: bipartite
	v = 6 e = 90 f = 48
	degree seq :: [ 30^6 ]

E19.841 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 15})
Quotient :: dipole
Aut^+ = C15 x C3 (small group id <45, 2>)
Aut   = (C15 x C3) : C2 (small group id <90, 9>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (Y3, Y2), (R * Y1)^2, (R * Y2)^2, Y3^-3 * Y2^-3, Y3^15, Y2^15, (Y3^-1 * Y1^-1)^15 ]
Map::
	R = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)(91, 136, 92, 137, 96, 141, 104, 149, 112, 157, 118, 163, 124, 169, 130, 175, 134, 179, 127, 172, 123, 168, 116, 161, 109, 154, 101, 146, 94, 139)(93, 138, 97, 142, 105, 150, 103, 148, 108, 153, 114, 159, 120, 165, 126, 171, 132, 177, 133, 178, 129, 174, 122, 167, 115, 160, 111, 156, 100, 145)(95, 140, 98, 143, 106, 151, 113, 158, 119, 164, 125, 170, 131, 176, 135, 180, 128, 173, 121, 166, 117, 162, 110, 155, 99, 144, 107, 152, 102, 147)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 109)(10, 110)(11, 111)(12, 94)(13, 95)(14, 103)(15, 102)(16, 96)(17, 101)(18, 98)(19, 115)(20, 116)(21, 117)(22, 108)(23, 104)(24, 106)(25, 121)(26, 122)(27, 123)(28, 114)(29, 112)(30, 113)(31, 127)(32, 128)(33, 129)(34, 120)(35, 118)(36, 119)(37, 133)(38, 134)(39, 135)(40, 126)(41, 124)(42, 125)(43, 131)(44, 132)(45, 130)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 30, 30 ), ( 30^30 ) }
Outer automorphisms :: reflexible
Dual of E19.840
Graph:: simple bipartite
	v = 48 e = 90 f = 6
	degree seq :: [ 2^45, 30^3 ]

E19.842 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 15, 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^-3 * T2^-5, T1^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 22, 36, 44, 40, 28, 14, 27, 25, 13, 5)(2, 7, 17, 31, 23, 11, 21, 35, 43, 39, 26, 38, 32, 18, 8)(4, 10, 20, 34, 42, 37, 45, 41, 30, 16, 6, 15, 29, 24, 12)(46, 47, 51, 59, 71, 82, 67, 56, 49)(48, 52, 60, 72, 83, 90, 81, 66, 55)(50, 53, 61, 73, 84, 87, 78, 68, 57)(54, 62, 74, 70, 77, 86, 89, 80, 65)(58, 63, 75, 85, 88, 79, 64, 76, 69)
	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) :: { ( 90^9 ), ( 90^15 ) }
Outer automorphisms :: reflexible
Dual of E19.850
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 45 f = 1
	degree seq :: [ 9^5, 15^3 ]

E19.843 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 15, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T2^-5 * T1^3, T1^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 28, 14, 27, 40, 44, 35, 22, 33, 25, 13, 5)(2, 7, 17, 31, 39, 26, 38, 45, 36, 23, 11, 21, 32, 18, 8)(4, 10, 20, 30, 16, 6, 15, 29, 41, 43, 34, 42, 37, 24, 12)(46, 47, 51, 59, 71, 79, 67, 56, 49)(48, 52, 60, 72, 83, 87, 78, 66, 55)(50, 53, 61, 73, 84, 88, 80, 68, 57)(54, 62, 74, 85, 90, 82, 70, 77, 65)(58, 63, 75, 64, 76, 86, 89, 81, 69)
	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) :: { ( 90^9 ), ( 90^15 ) }
Outer automorphisms :: reflexible
Dual of E19.851
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 45 f = 1
	degree seq :: [ 9^5, 15^3 ]

E19.844 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 15, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^3 * T1^-2, T1^-15, T1^15, (T1^-1 * T2^-1)^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 22, 20, 27, 34, 32, 39, 45, 41, 43, 36, 29, 31, 24, 17, 19, 12, 4, 10, 8, 2, 7, 16, 14, 21, 28, 26, 33, 40, 38, 44, 42, 35, 37, 30, 23, 25, 18, 11, 13, 5)(46, 47, 51, 59, 65, 71, 77, 83, 86, 80, 74, 68, 62, 56, 49)(48, 52, 60, 66, 72, 78, 84, 89, 88, 82, 76, 70, 64, 58, 55)(50, 53, 54, 61, 67, 73, 79, 85, 90, 87, 81, 75, 69, 63, 57)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 18^15 ), ( 18^45 ) }
Outer automorphisms :: reflexible
Dual of E19.852
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 45 f = 5
	degree seq :: [ 15^3, 45 ]

E19.845 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 15, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2 * T1 * T2^5, T2 * T1^-2 * T2^2 * T1^-5, (T1^-1 * T2^-1)^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 24, 12, 4, 10, 20, 32, 37, 23, 11, 21, 33, 38, 45, 36, 22, 34, 40, 26, 39, 44, 35, 42, 28, 14, 27, 41, 43, 30, 16, 6, 15, 29, 31, 18, 8, 2, 7, 17, 25, 13, 5)(46, 47, 51, 59, 71, 83, 77, 64, 70, 76, 88, 80, 67, 56, 49)(48, 52, 60, 72, 84, 90, 82, 69, 58, 63, 75, 87, 79, 66, 55)(50, 53, 61, 73, 85, 78, 65, 54, 62, 74, 86, 89, 81, 68, 57)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 18^15 ), ( 18^45 ) }
Outer automorphisms :: reflexible
Dual of E19.853
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 45 f = 5
	degree seq :: [ 15^3, 45 ]

E19.846 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 15, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^2 * T1^5, T2^9, T2^9, T2^3 * T1^-1 * T2 * T1^-1 * T2^3 * T1^-3, (T1^-1 * T2^-1)^15 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 35, 25, 13, 5)(2, 7, 17, 28, 38, 39, 29, 18, 8)(4, 10, 20, 31, 40, 43, 34, 24, 12)(6, 15, 22, 33, 42, 45, 37, 27, 16)(11, 21, 32, 41, 44, 36, 26, 14, 23)(46, 47, 51, 59, 69, 58, 63, 72, 81, 88, 80, 84, 90, 86, 76, 64, 73, 78, 66, 55, 48, 52, 60, 68, 57, 50, 53, 61, 71, 79, 70, 74, 82, 89, 85, 75, 83, 87, 77, 65, 54, 62, 67, 56, 49)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 30^9 ), ( 30^45 ) }
Outer automorphisms :: reflexible
Dual of E19.848
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 45 f = 3
	degree seq :: [ 9^5, 45 ]

E19.847 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 15, 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 * T2, T2^9, (T1^-1 * T2^-1)^15 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 33, 23, 13, 5)(2, 7, 17, 27, 37, 38, 28, 18, 8)(4, 10, 20, 30, 39, 41, 32, 22, 12)(6, 15, 25, 35, 43, 44, 36, 26, 16)(11, 14, 24, 34, 42, 45, 40, 31, 21)(46, 47, 51, 59, 55, 48, 52, 60, 69, 65, 54, 62, 70, 79, 75, 64, 72, 80, 87, 84, 74, 82, 88, 90, 86, 78, 83, 89, 85, 77, 68, 73, 81, 76, 67, 58, 63, 71, 66, 57, 50, 53, 61, 56, 49)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 30^9 ), ( 30^45 ) }
Outer automorphisms :: reflexible
Dual of E19.849
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 45 f = 3
	degree seq :: [ 9^5, 45 ]

E19.848 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 15, 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^-3 * T2^-5, T1^9 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 19, 64, 33, 78, 22, 67, 36, 81, 44, 89, 40, 85, 28, 73, 14, 59, 27, 72, 25, 70, 13, 58, 5, 50)(2, 47, 7, 52, 17, 62, 31, 76, 23, 68, 11, 56, 21, 66, 35, 80, 43, 88, 39, 84, 26, 71, 38, 83, 32, 77, 18, 63, 8, 53)(4, 49, 10, 55, 20, 65, 34, 79, 42, 87, 37, 82, 45, 90, 41, 86, 30, 75, 16, 61, 6, 51, 15, 60, 29, 74, 24, 69, 12, 57)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 59)(7, 60)(8, 61)(9, 62)(10, 48)(11, 49)(12, 50)(13, 63)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 77)(26, 82)(27, 83)(28, 84)(29, 70)(30, 85)(31, 69)(32, 86)(33, 68)(34, 64)(35, 65)(36, 66)(37, 67)(38, 90)(39, 87)(40, 88)(41, 89)(42, 78)(43, 79)(44, 80)(45, 81)
	local type(s) :: { ( 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45 ) }
Outer automorphisms :: reflexible
Dual of E19.846
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 45 f = 6
	degree seq :: [ 30^3 ]

E19.849 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 15, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T2^-5 * T1^3, T1^9 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 19, 64, 28, 73, 14, 59, 27, 72, 40, 85, 44, 89, 35, 80, 22, 67, 33, 78, 25, 70, 13, 58, 5, 50)(2, 47, 7, 52, 17, 62, 31, 76, 39, 84, 26, 71, 38, 83, 45, 90, 36, 81, 23, 68, 11, 56, 21, 66, 32, 77, 18, 63, 8, 53)(4, 49, 10, 55, 20, 65, 30, 75, 16, 61, 6, 51, 15, 60, 29, 74, 41, 86, 43, 88, 34, 79, 42, 87, 37, 82, 24, 69, 12, 57)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 59)(7, 60)(8, 61)(9, 62)(10, 48)(11, 49)(12, 50)(13, 63)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 77)(26, 79)(27, 83)(28, 84)(29, 85)(30, 64)(31, 86)(32, 65)(33, 66)(34, 67)(35, 68)(36, 69)(37, 70)(38, 87)(39, 88)(40, 90)(41, 89)(42, 78)(43, 80)(44, 81)(45, 82)
	local type(s) :: { ( 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45, 9, 45 ) }
Outer automorphisms :: reflexible
Dual of E19.847
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 45 f = 6
	degree seq :: [ 30^3 ]

E19.850 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 15, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^3 * T1^-2, T1^-15, T1^15, (T1^-1 * T2^-1)^9 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 6, 51, 15, 60, 22, 67, 20, 65, 27, 72, 34, 79, 32, 77, 39, 84, 45, 90, 41, 86, 43, 88, 36, 81, 29, 74, 31, 76, 24, 69, 17, 62, 19, 64, 12, 57, 4, 49, 10, 55, 8, 53, 2, 47, 7, 52, 16, 61, 14, 59, 21, 66, 28, 73, 26, 71, 33, 78, 40, 85, 38, 83, 44, 89, 42, 87, 35, 80, 37, 82, 30, 75, 23, 68, 25, 70, 18, 63, 11, 56, 13, 58, 5, 50)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 59)(7, 60)(8, 54)(9, 61)(10, 48)(11, 49)(12, 50)(13, 55)(14, 65)(15, 66)(16, 67)(17, 56)(18, 57)(19, 58)(20, 71)(21, 72)(22, 73)(23, 62)(24, 63)(25, 64)(26, 77)(27, 78)(28, 79)(29, 68)(30, 69)(31, 70)(32, 83)(33, 84)(34, 85)(35, 74)(36, 75)(37, 76)(38, 86)(39, 89)(40, 90)(41, 80)(42, 81)(43, 82)(44, 88)(45, 87)
	local type(s) :: { ( 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15 ) }
Outer automorphisms :: reflexible
Dual of E19.842
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 45 f = 8
	degree seq :: [ 90 ]

E19.851 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 15, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2 * T1 * T2^5, T2 * T1^-2 * T2^2 * T1^-5, (T1^-1 * T2^-1)^9 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 19, 64, 24, 69, 12, 57, 4, 49, 10, 55, 20, 65, 32, 77, 37, 82, 23, 68, 11, 56, 21, 66, 33, 78, 38, 83, 45, 90, 36, 81, 22, 67, 34, 79, 40, 85, 26, 71, 39, 84, 44, 89, 35, 80, 42, 87, 28, 73, 14, 59, 27, 72, 41, 86, 43, 88, 30, 75, 16, 61, 6, 51, 15, 60, 29, 74, 31, 76, 18, 63, 8, 53, 2, 47, 7, 52, 17, 62, 25, 70, 13, 58, 5, 50)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 59)(7, 60)(8, 61)(9, 62)(10, 48)(11, 49)(12, 50)(13, 63)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 70)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 76)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 64)(33, 65)(34, 66)(35, 67)(36, 68)(37, 69)(38, 77)(39, 90)(40, 78)(41, 89)(42, 79)(43, 80)(44, 81)(45, 82)
	local type(s) :: { ( 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15, 9, 15 ) }
Outer automorphisms :: reflexible
Dual of E19.843
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 45 f = 8
	degree seq :: [ 90 ]

E19.852 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 15, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^2 * T1^5, T2^9, T2^9, T2^3 * T1^-1 * T2 * T1^-1 * T2^3 * T1^-3, (T1^-1 * T2^-1)^15 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 19, 64, 30, 75, 35, 80, 25, 70, 13, 58, 5, 50)(2, 47, 7, 52, 17, 62, 28, 73, 38, 83, 39, 84, 29, 74, 18, 63, 8, 53)(4, 49, 10, 55, 20, 65, 31, 76, 40, 85, 43, 88, 34, 79, 24, 69, 12, 57)(6, 51, 15, 60, 22, 67, 33, 78, 42, 87, 45, 90, 37, 82, 27, 72, 16, 61)(11, 56, 21, 66, 32, 77, 41, 86, 44, 89, 36, 81, 26, 71, 14, 59, 23, 68)
	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, 68)(16, 71)(17, 67)(18, 72)(19, 73)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 74)(26, 79)(27, 81)(28, 78)(29, 82)(30, 83)(31, 64)(32, 65)(33, 66)(34, 70)(35, 84)(36, 88)(37, 89)(38, 87)(39, 90)(40, 75)(41, 76)(42, 77)(43, 80)(44, 85)(45, 86)
	local type(s) :: { ( 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45 ) }
Outer automorphisms :: reflexible
Dual of E19.844
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 45 f = 4
	degree seq :: [ 18^5 ]

E19.853 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 15, 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 * T2, T2^9, (T1^-1 * T2^-1)^15 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 19, 64, 29, 74, 33, 78, 23, 68, 13, 58, 5, 50)(2, 47, 7, 52, 17, 62, 27, 72, 37, 82, 38, 83, 28, 73, 18, 63, 8, 53)(4, 49, 10, 55, 20, 65, 30, 75, 39, 84, 41, 86, 32, 77, 22, 67, 12, 57)(6, 51, 15, 60, 25, 70, 35, 80, 43, 88, 44, 89, 36, 81, 26, 71, 16, 61)(11, 56, 14, 59, 24, 69, 34, 79, 42, 87, 45, 90, 40, 85, 31, 76, 21, 66)
	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, 55)(15, 69)(16, 56)(17, 70)(18, 71)(19, 72)(20, 54)(21, 57)(22, 58)(23, 73)(24, 65)(25, 79)(26, 66)(27, 80)(28, 81)(29, 82)(30, 64)(31, 67)(32, 68)(33, 83)(34, 75)(35, 87)(36, 76)(37, 88)(38, 89)(39, 74)(40, 77)(41, 78)(42, 84)(43, 90)(44, 85)(45, 86)
	local type(s) :: { ( 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45 ) }
Outer automorphisms :: reflexible
Dual of E19.845
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 45 f = 4
	degree seq :: [ 18^5 ]

E19.854 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 15, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y1^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^5 * Y1^-3, Y3^9, Y1^9, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 26, 71, 34, 79, 22, 67, 11, 56, 4, 49)(3, 48, 7, 52, 15, 60, 27, 72, 38, 83, 42, 87, 33, 78, 21, 66, 10, 55)(5, 50, 8, 53, 16, 61, 28, 73, 39, 84, 43, 88, 35, 80, 23, 68, 12, 57)(9, 54, 17, 62, 29, 74, 40, 85, 45, 90, 37, 82, 25, 70, 32, 77, 20, 65)(13, 58, 18, 63, 30, 75, 19, 64, 31, 76, 41, 86, 44, 89, 36, 81, 24, 69)(91, 136, 93, 138, 99, 144, 109, 154, 118, 163, 104, 149, 117, 162, 130, 175, 134, 179, 125, 170, 112, 157, 123, 168, 115, 160, 103, 148, 95, 140)(92, 137, 97, 142, 107, 152, 121, 166, 129, 174, 116, 161, 128, 173, 135, 180, 126, 171, 113, 158, 101, 146, 111, 156, 122, 167, 108, 153, 98, 143)(94, 139, 100, 145, 110, 155, 120, 165, 106, 151, 96, 141, 105, 150, 119, 164, 131, 176, 133, 178, 124, 169, 132, 177, 127, 172, 114, 159, 102, 147)
	L = (1, 94)(2, 91)(3, 100)(4, 101)(5, 102)(6, 92)(7, 93)(8, 95)(9, 110)(10, 111)(11, 112)(12, 113)(13, 114)(14, 96)(15, 97)(16, 98)(17, 99)(18, 103)(19, 120)(20, 122)(21, 123)(22, 124)(23, 125)(24, 126)(25, 127)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 115)(33, 132)(34, 116)(35, 133)(36, 134)(37, 135)(38, 117)(39, 118)(40, 119)(41, 121)(42, 128)(43, 129)(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) :: { ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ), ( 2, 90, 2, 90, 2, 90, 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 E19.860
Graph:: bipartite
	v = 8 e = 90 f = 46
	degree seq :: [ 18^5, 30^3 ]

E19.855 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 15, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, Y3 * Y2 * Y1 * Y2^-1, (R * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-3 * Y1^-1, Y3^-3 * Y1^6, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 26, 71, 37, 82, 22, 67, 11, 56, 4, 49)(3, 48, 7, 52, 15, 60, 27, 72, 38, 83, 45, 90, 36, 81, 21, 66, 10, 55)(5, 50, 8, 53, 16, 61, 28, 73, 39, 84, 42, 87, 33, 78, 23, 68, 12, 57)(9, 54, 17, 62, 29, 74, 25, 70, 32, 77, 41, 86, 44, 89, 35, 80, 20, 65)(13, 58, 18, 63, 30, 75, 40, 85, 43, 88, 34, 79, 19, 64, 31, 76, 24, 69)(91, 136, 93, 138, 99, 144, 109, 154, 123, 168, 112, 157, 126, 171, 134, 179, 130, 175, 118, 163, 104, 149, 117, 162, 115, 160, 103, 148, 95, 140)(92, 137, 97, 142, 107, 152, 121, 166, 113, 158, 101, 146, 111, 156, 125, 170, 133, 178, 129, 174, 116, 161, 128, 173, 122, 167, 108, 153, 98, 143)(94, 139, 100, 145, 110, 155, 124, 169, 132, 177, 127, 172, 135, 180, 131, 176, 120, 165, 106, 151, 96, 141, 105, 150, 119, 164, 114, 159, 102, 147)
	L = (1, 94)(2, 91)(3, 100)(4, 101)(5, 102)(6, 92)(7, 93)(8, 95)(9, 110)(10, 111)(11, 112)(12, 113)(13, 114)(14, 96)(15, 97)(16, 98)(17, 99)(18, 103)(19, 124)(20, 125)(21, 126)(22, 127)(23, 123)(24, 121)(25, 119)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 115)(33, 132)(34, 133)(35, 134)(36, 135)(37, 116)(38, 117)(39, 118)(40, 120)(41, 122)(42, 129)(43, 130)(44, 131)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.861
Graph:: bipartite
	v = 8 e = 90 f = 46
	degree seq :: [ 18^5, 30^3 ]

E19.856 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 15, 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^-1, Y1^-1), Y2^-3 * Y1^2, Y1^15, Y1^15, (Y3^-1 * Y1^-1)^9, Y1^30 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 20, 65, 26, 71, 32, 77, 38, 83, 41, 86, 35, 80, 29, 74, 23, 68, 17, 62, 11, 56, 4, 49)(3, 48, 7, 52, 15, 60, 21, 66, 27, 72, 33, 78, 39, 84, 44, 89, 43, 88, 37, 82, 31, 76, 25, 70, 19, 64, 13, 58, 10, 55)(5, 50, 8, 53, 9, 54, 16, 61, 22, 67, 28, 73, 34, 79, 40, 85, 45, 90, 42, 87, 36, 81, 30, 75, 24, 69, 18, 63, 12, 57)(91, 136, 93, 138, 99, 144, 96, 141, 105, 150, 112, 157, 110, 155, 117, 162, 124, 169, 122, 167, 129, 174, 135, 180, 131, 176, 133, 178, 126, 171, 119, 164, 121, 166, 114, 159, 107, 152, 109, 154, 102, 147, 94, 139, 100, 145, 98, 143, 92, 137, 97, 142, 106, 151, 104, 149, 111, 156, 118, 163, 116, 161, 123, 168, 130, 175, 128, 173, 134, 179, 132, 177, 125, 170, 127, 172, 120, 165, 113, 158, 115, 160, 108, 153, 101, 146, 103, 148, 95, 140)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 106)(8, 92)(9, 96)(10, 98)(11, 103)(12, 94)(13, 95)(14, 111)(15, 112)(16, 104)(17, 109)(18, 101)(19, 102)(20, 117)(21, 118)(22, 110)(23, 115)(24, 107)(25, 108)(26, 123)(27, 124)(28, 116)(29, 121)(30, 113)(31, 114)(32, 129)(33, 130)(34, 122)(35, 127)(36, 119)(37, 120)(38, 134)(39, 135)(40, 128)(41, 133)(42, 125)(43, 126)(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) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.859
Graph:: bipartite
	v = 4 e = 90 f = 50
	degree seq :: [ 30^3, 90 ]

E19.857 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 15, 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), Y2^6 * Y1, Y1^-2 * Y2^2 * Y1^-5 * Y2, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 26, 71, 38, 83, 32, 77, 19, 64, 25, 70, 31, 76, 43, 88, 35, 80, 22, 67, 11, 56, 4, 49)(3, 48, 7, 52, 15, 60, 27, 72, 39, 84, 45, 90, 37, 82, 24, 69, 13, 58, 18, 63, 30, 75, 42, 87, 34, 79, 21, 66, 10, 55)(5, 50, 8, 53, 16, 61, 28, 73, 40, 85, 33, 78, 20, 65, 9, 54, 17, 62, 29, 74, 41, 86, 44, 89, 36, 81, 23, 68, 12, 57)(91, 136, 93, 138, 99, 144, 109, 154, 114, 159, 102, 147, 94, 139, 100, 145, 110, 155, 122, 167, 127, 172, 113, 158, 101, 146, 111, 156, 123, 168, 128, 173, 135, 180, 126, 171, 112, 157, 124, 169, 130, 175, 116, 161, 129, 174, 134, 179, 125, 170, 132, 177, 118, 163, 104, 149, 117, 162, 131, 176, 133, 178, 120, 165, 106, 151, 96, 141, 105, 150, 119, 164, 121, 166, 108, 153, 98, 143, 92, 137, 97, 142, 107, 152, 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, 115)(18, 98)(19, 114)(20, 122)(21, 123)(22, 124)(23, 101)(24, 102)(25, 103)(26, 129)(27, 131)(28, 104)(29, 121)(30, 106)(31, 108)(32, 127)(33, 128)(34, 130)(35, 132)(36, 112)(37, 113)(38, 135)(39, 134)(40, 116)(41, 133)(42, 118)(43, 120)(44, 125)(45, 126)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.858
Graph:: bipartite
	v = 4 e = 90 f = 50
	degree seq :: [ 30^3, 90 ]

E19.858 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 15, 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 * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^-1 * Y3^-5, Y2^9, 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^-1 * Y1^-1)^45 ]
Map::
	R = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)(91, 136, 92, 137, 96, 141, 104, 149, 114, 159, 122, 167, 112, 157, 101, 146, 94, 139)(93, 138, 97, 142, 105, 150, 115, 160, 124, 169, 130, 175, 121, 166, 111, 156, 100, 145)(95, 140, 98, 143, 106, 151, 116, 161, 125, 170, 131, 176, 123, 168, 113, 158, 102, 147)(99, 144, 107, 152, 117, 162, 126, 171, 132, 177, 135, 180, 129, 174, 120, 165, 110, 155)(103, 148, 108, 153, 118, 163, 127, 172, 133, 178, 134, 179, 128, 173, 119, 164, 109, 154)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 109)(10, 110)(11, 111)(12, 94)(13, 95)(14, 115)(15, 117)(16, 96)(17, 103)(18, 98)(19, 102)(20, 119)(21, 120)(22, 121)(23, 101)(24, 124)(25, 126)(26, 104)(27, 108)(28, 106)(29, 113)(30, 128)(31, 129)(32, 130)(33, 112)(34, 132)(35, 114)(36, 118)(37, 116)(38, 123)(39, 134)(40, 135)(41, 122)(42, 127)(43, 125)(44, 131)(45, 133)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 30, 90 ), ( 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90 ) }
Outer automorphisms :: reflexible
Dual of E19.857
Graph:: simple bipartite
	v = 50 e = 90 f = 4
	degree seq :: [ 2^45, 18^5 ]

E19.859 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 15, 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 * Y2)^2, (R * Y1)^2, (Y3, Y2), Y3^5 * Y2^-2, Y2^-9, Y2^9, Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * 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, 104, 149, 116, 161, 122, 167, 112, 157, 101, 146, 94, 139)(93, 138, 97, 142, 105, 150, 117, 162, 126, 171, 130, 175, 121, 166, 111, 156, 100, 145)(95, 140, 98, 143, 106, 151, 118, 163, 127, 172, 131, 176, 123, 168, 113, 158, 102, 147)(99, 144, 107, 152, 119, 164, 128, 173, 134, 179, 133, 178, 125, 170, 115, 160, 110, 155)(103, 148, 108, 153, 109, 154, 120, 165, 129, 174, 135, 180, 132, 177, 124, 169, 114, 159)
	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, 120)(18, 98)(19, 106)(20, 108)(21, 115)(22, 121)(23, 101)(24, 102)(25, 103)(26, 126)(27, 128)(28, 104)(29, 129)(30, 118)(31, 125)(32, 130)(33, 112)(34, 113)(35, 114)(36, 134)(37, 116)(38, 135)(39, 127)(40, 133)(41, 122)(42, 123)(43, 124)(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) :: { ( 30, 90 ), ( 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90 ) }
Outer automorphisms :: reflexible
Dual of E19.856
Graph:: simple bipartite
	v = 50 e = 90 f = 4
	degree seq :: [ 2^45, 18^5 ]

E19.860 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 15, 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 * Y1^-5, (R * Y2 * Y3^-1)^2, Y3^9, (Y3 * Y2^-1)^9, 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^-2 * Y1 * Y3^-1 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 10, 55, 3, 48, 7, 52, 15, 60, 24, 69, 20, 65, 9, 54, 17, 62, 25, 70, 34, 79, 30, 75, 19, 64, 27, 72, 35, 80, 42, 87, 39, 84, 29, 74, 37, 82, 43, 88, 45, 90, 41, 86, 33, 78, 38, 83, 44, 89, 40, 85, 32, 77, 23, 68, 28, 73, 36, 81, 31, 76, 22, 67, 13, 58, 18, 63, 26, 71, 21, 66, 12, 57, 5, 50, 8, 53, 16, 61, 11, 56, 4, 49)(91, 136)(92, 137)(93, 138)(94, 139)(95, 140)(96, 141)(97, 142)(98, 143)(99, 144)(100, 145)(101, 146)(102, 147)(103, 148)(104, 149)(105, 150)(106, 151)(107, 152)(108, 153)(109, 154)(110, 155)(111, 156)(112, 157)(113, 158)(114, 159)(115, 160)(116, 161)(117, 162)(118, 163)(119, 164)(120, 165)(121, 166)(122, 167)(123, 168)(124, 169)(125, 170)(126, 171)(127, 172)(128, 173)(129, 174)(130, 175)(131, 176)(132, 177)(133, 178)(134, 179)(135, 180)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 109)(10, 110)(11, 104)(12, 94)(13, 95)(14, 114)(15, 115)(16, 96)(17, 117)(18, 98)(19, 119)(20, 120)(21, 101)(22, 102)(23, 103)(24, 124)(25, 125)(26, 106)(27, 127)(28, 108)(29, 123)(30, 129)(31, 111)(32, 112)(33, 113)(34, 132)(35, 133)(36, 116)(37, 128)(38, 118)(39, 131)(40, 121)(41, 122)(42, 135)(43, 134)(44, 126)(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) :: { ( 18, 30 ), ( 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.854
Graph:: bipartite
	v = 46 e = 90 f = 8
	degree seq :: [ 2^45, 90 ]

E19.861 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 15, 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), (R * Y2 * Y3^-1)^2, Y3^2 * Y1^5, Y3^9, Y3^-2 * Y1^3 * Y3^-2 * Y1^3 * Y3^-2 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 24, 69, 13, 58, 18, 63, 27, 72, 36, 81, 43, 88, 35, 80, 39, 84, 45, 90, 41, 86, 31, 76, 19, 64, 28, 73, 33, 78, 21, 66, 10, 55, 3, 48, 7, 52, 15, 60, 23, 68, 12, 57, 5, 50, 8, 53, 16, 61, 26, 71, 34, 79, 25, 70, 29, 74, 37, 82, 44, 89, 40, 85, 30, 75, 38, 83, 42, 87, 32, 77, 20, 65, 9, 54, 17, 62, 22, 67, 11, 56, 4, 49)(91, 136)(92, 137)(93, 138)(94, 139)(95, 140)(96, 141)(97, 142)(98, 143)(99, 144)(100, 145)(101, 146)(102, 147)(103, 148)(104, 149)(105, 150)(106, 151)(107, 152)(108, 153)(109, 154)(110, 155)(111, 156)(112, 157)(113, 158)(114, 159)(115, 160)(116, 161)(117, 162)(118, 163)(119, 164)(120, 165)(121, 166)(122, 167)(123, 168)(124, 169)(125, 170)(126, 171)(127, 172)(128, 173)(129, 174)(130, 175)(131, 176)(132, 177)(133, 178)(134, 179)(135, 180)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 109)(10, 110)(11, 111)(12, 94)(13, 95)(14, 113)(15, 112)(16, 96)(17, 118)(18, 98)(19, 120)(20, 121)(21, 122)(22, 123)(23, 101)(24, 102)(25, 103)(26, 104)(27, 106)(28, 128)(29, 108)(30, 125)(31, 130)(32, 131)(33, 132)(34, 114)(35, 115)(36, 116)(37, 117)(38, 129)(39, 119)(40, 133)(41, 134)(42, 135)(43, 124)(44, 126)(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) :: { ( 18, 30 ), ( 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30, 18, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.855
Graph:: bipartite
	v = 46 e = 90 f = 8
	degree seq :: [ 2^45, 90 ]

E19.862 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 15, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^-1 * Y2 * Y3^-1 * Y1^-2 * Y2^-1, Y2^5 * Y1^2, Y1^9, Y1^9, Y2 * Y3 * Y2 * Y3^2 * Y2^3 * Y1^-4, Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3, Y3^18 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 26, 71, 34, 79, 22, 67, 11, 56, 4, 49)(3, 48, 7, 52, 15, 60, 27, 72, 36, 81, 42, 87, 33, 78, 21, 66, 10, 55)(5, 50, 8, 53, 16, 61, 28, 73, 37, 82, 43, 88, 35, 80, 23, 68, 12, 57)(9, 54, 17, 62, 25, 70, 30, 75, 39, 84, 45, 90, 41, 86, 32, 77, 20, 65)(13, 58, 18, 63, 29, 74, 38, 83, 44, 89, 40, 85, 31, 76, 19, 64, 24, 69)(91, 136, 93, 138, 99, 144, 109, 154, 113, 158, 101, 146, 111, 156, 122, 167, 130, 175, 133, 178, 124, 169, 132, 177, 135, 180, 128, 173, 118, 163, 104, 149, 117, 162, 120, 165, 108, 153, 98, 143, 92, 137, 97, 142, 107, 152, 114, 159, 102, 147, 94, 139, 100, 145, 110, 155, 121, 166, 125, 170, 112, 157, 123, 168, 131, 176, 134, 179, 127, 172, 116, 161, 126, 171, 129, 174, 119, 164, 106, 151, 96, 141, 105, 150, 115, 160, 103, 148, 95, 140)
	L = (1, 94)(2, 91)(3, 100)(4, 101)(5, 102)(6, 92)(7, 93)(8, 95)(9, 110)(10, 111)(11, 112)(12, 113)(13, 114)(14, 96)(15, 97)(16, 98)(17, 99)(18, 103)(19, 121)(20, 122)(21, 123)(22, 124)(23, 125)(24, 109)(25, 107)(26, 104)(27, 105)(28, 106)(29, 108)(30, 115)(31, 130)(32, 131)(33, 132)(34, 116)(35, 133)(36, 117)(37, 118)(38, 119)(39, 120)(40, 134)(41, 135)(42, 126)(43, 127)(44, 128)(45, 129)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ), ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.864
Graph:: bipartite
	v = 6 e = 90 f = 48
	degree seq :: [ 18^5, 90 ]

E19.863 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 15, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^5 * Y1^-1, Y1^9, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 24, 69, 31, 76, 21, 66, 11, 56, 4, 49)(3, 48, 7, 52, 15, 60, 25, 70, 34, 79, 39, 84, 30, 75, 20, 65, 10, 55)(5, 50, 8, 53, 16, 61, 26, 71, 35, 80, 40, 85, 32, 77, 22, 67, 12, 57)(9, 54, 17, 62, 27, 72, 36, 81, 42, 87, 44, 89, 38, 83, 29, 74, 19, 64)(13, 58, 18, 63, 28, 73, 37, 82, 43, 88, 45, 90, 41, 86, 33, 78, 23, 68)(91, 136, 93, 138, 99, 144, 108, 153, 98, 143, 92, 137, 97, 142, 107, 152, 118, 163, 106, 151, 96, 141, 105, 150, 117, 162, 127, 172, 116, 161, 104, 149, 115, 160, 126, 171, 133, 178, 125, 170, 114, 159, 124, 169, 132, 177, 135, 180, 130, 175, 121, 166, 129, 174, 134, 179, 131, 176, 122, 167, 111, 156, 120, 165, 128, 173, 123, 168, 112, 157, 101, 146, 110, 155, 119, 164, 113, 158, 102, 147, 94, 139, 100, 145, 109, 154, 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, 111)(12, 112)(13, 113)(14, 96)(15, 97)(16, 98)(17, 99)(18, 103)(19, 119)(20, 120)(21, 121)(22, 122)(23, 123)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 128)(30, 129)(31, 114)(32, 130)(33, 131)(34, 115)(35, 116)(36, 117)(37, 118)(38, 134)(39, 124)(40, 125)(41, 135)(42, 126)(43, 127)(44, 132)(45, 133)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ), ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.865
Graph:: bipartite
	v = 6 e = 90 f = 48
	degree seq :: [ 18^5, 90 ]

E19.864 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 15, 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), Y3^3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-15, Y1^15, (Y1^-1 * Y3^-1)^9, (Y3 * Y2^-1)^45 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 20, 65, 26, 71, 32, 77, 38, 83, 41, 86, 35, 80, 29, 74, 23, 68, 17, 62, 11, 56, 4, 49)(3, 48, 7, 52, 15, 60, 21, 66, 27, 72, 33, 78, 39, 84, 44, 89, 43, 88, 37, 82, 31, 76, 25, 70, 19, 64, 13, 58, 10, 55)(5, 50, 8, 53, 9, 54, 16, 61, 22, 67, 28, 73, 34, 79, 40, 85, 45, 90, 42, 87, 36, 81, 30, 75, 24, 69, 18, 63, 12, 57)(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, 106)(8, 92)(9, 96)(10, 98)(11, 103)(12, 94)(13, 95)(14, 111)(15, 112)(16, 104)(17, 109)(18, 101)(19, 102)(20, 117)(21, 118)(22, 110)(23, 115)(24, 107)(25, 108)(26, 123)(27, 124)(28, 116)(29, 121)(30, 113)(31, 114)(32, 129)(33, 130)(34, 122)(35, 127)(36, 119)(37, 120)(38, 134)(39, 135)(40, 128)(41, 133)(42, 125)(43, 126)(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) :: { ( 18, 90 ), ( 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90 ) }
Outer automorphisms :: reflexible
Dual of E19.862
Graph:: simple bipartite
	v = 48 e = 90 f = 6
	degree seq :: [ 2^45, 30^3 ]

E19.865 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 15, 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, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^5, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-5, Y3^2 * Y1^8 * Y3, Y1^-3 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^2, (Y3 * Y2^-1)^45 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 26, 71, 38, 83, 32, 77, 19, 64, 25, 70, 31, 76, 43, 88, 35, 80, 22, 67, 11, 56, 4, 49)(3, 48, 7, 52, 15, 60, 27, 72, 39, 84, 45, 90, 37, 82, 24, 69, 13, 58, 18, 63, 30, 75, 42, 87, 34, 79, 21, 66, 10, 55)(5, 50, 8, 53, 16, 61, 28, 73, 40, 85, 33, 78, 20, 65, 9, 54, 17, 62, 29, 74, 41, 86, 44, 89, 36, 81, 23, 68, 12, 57)(91, 136)(92, 137)(93, 138)(94, 139)(95, 140)(96, 141)(97, 142)(98, 143)(99, 144)(100, 145)(101, 146)(102, 147)(103, 148)(104, 149)(105, 150)(106, 151)(107, 152)(108, 153)(109, 154)(110, 155)(111, 156)(112, 157)(113, 158)(114, 159)(115, 160)(116, 161)(117, 162)(118, 163)(119, 164)(120, 165)(121, 166)(122, 167)(123, 168)(124, 169)(125, 170)(126, 171)(127, 172)(128, 173)(129, 174)(130, 175)(131, 176)(132, 177)(133, 178)(134, 179)(135, 180)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 109)(10, 110)(11, 111)(12, 94)(13, 95)(14, 117)(15, 119)(16, 96)(17, 115)(18, 98)(19, 114)(20, 122)(21, 123)(22, 124)(23, 101)(24, 102)(25, 103)(26, 129)(27, 131)(28, 104)(29, 121)(30, 106)(31, 108)(32, 127)(33, 128)(34, 130)(35, 132)(36, 112)(37, 113)(38, 135)(39, 134)(40, 116)(41, 133)(42, 118)(43, 120)(44, 125)(45, 126)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 18, 90 ), ( 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90, 18, 90 ) }
Outer automorphisms :: reflexible
Dual of E19.863
Graph:: simple bipartite
	v = 48 e = 90 f = 6
	degree seq :: [ 2^45, 30^3 ]

E19.866 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2^3, Y3 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, (Y1^-1 * Y2^-1 * Y3^-1)^2, (Y1^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 7, 55)(2, 50, 9, 57, 11, 59)(3, 51, 13, 61, 15, 63)(5, 53, 20, 68, 22, 70)(6, 54, 17, 65, 25, 73)(8, 56, 18, 66, 27, 75)(10, 58, 31, 79, 35, 83)(12, 60, 39, 87, 29, 77)(14, 62, 42, 90, 43, 91)(16, 64, 26, 74, 24, 72)(19, 67, 32, 80, 37, 85)(21, 69, 47, 95, 45, 93)(23, 71, 33, 81, 48, 96)(28, 76, 41, 89, 46, 94)(30, 78, 36, 84, 34, 82)(38, 86, 40, 88, 44, 92)(97, 98, 101)(99, 108, 110)(100, 109, 113)(102, 119, 120)(103, 122, 123)(104, 124, 125)(105, 114, 127)(106, 129, 130)(107, 132, 133)(111, 118, 140)(112, 141, 137)(115, 138, 142)(116, 128, 143)(117, 144, 134)(121, 139, 126)(131, 135, 136)(145, 147, 150)(146, 152, 154)(148, 160, 162)(149, 163, 165)(151, 155, 166)(153, 174, 176)(156, 182, 175)(157, 164, 184)(158, 185, 181)(159, 173, 187)(161, 186, 178)(167, 180, 179)(168, 191, 172)(169, 192, 170)(171, 190, 183)(177, 188, 189)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^3 ), ( 16^6 ) }
Outer automorphisms :: reflexible
Dual of E19.872
Graph:: simple bipartite
	v = 48 e = 96 f = 12
	degree seq :: [ 3^32, 6^16 ]

E19.867 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1 * Y3 * Y2, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y3 * Y2^-1 * Y1^-1)^2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y1 * Y2 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 7, 55)(2, 50, 6, 54, 10, 58)(3, 51, 11, 59, 13, 61)(5, 53, 9, 57, 17, 65)(8, 56, 20, 68, 22, 70)(12, 60, 19, 67, 28, 76)(14, 62, 16, 64, 32, 80)(15, 63, 31, 79, 33, 81)(18, 66, 29, 77, 36, 84)(21, 69, 24, 72, 41, 89)(23, 71, 42, 90, 43, 91)(25, 73, 27, 75, 39, 87)(26, 74, 45, 93, 46, 94)(30, 78, 38, 86, 40, 88)(34, 82, 35, 83, 47, 95)(37, 85, 44, 92, 48, 96)(97, 98, 101)(99, 103, 108)(100, 110, 111)(102, 109, 114)(104, 106, 117)(105, 118, 119)(107, 121, 122)(112, 113, 130)(115, 129, 133)(116, 134, 135)(120, 132, 140)(123, 124, 138)(125, 142, 143)(126, 128, 141)(127, 136, 137)(131, 139, 144)(145, 147, 150)(146, 152, 153)(148, 149, 160)(151, 159, 163)(154, 162, 168)(155, 156, 171)(157, 170, 173)(158, 174, 175)(161, 167, 179)(164, 165, 184)(166, 183, 186)(169, 182, 189)(172, 181, 187)(176, 178, 190)(177, 185, 188)(180, 191, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^3 ), ( 16^6 ) }
Outer automorphisms :: reflexible
Dual of E19.873
Graph:: simple bipartite
	v = 48 e = 96 f = 12
	degree seq :: [ 3^32, 6^16 ]

E19.868 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y2^3, Y1^3, R * Y2 * R * Y1, Y3^4, (R * Y3)^2, (Y3 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, (Y1^-1 * Y3)^3, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 9, 57, 5, 53)(2, 50, 6, 54, 16, 64, 7, 55)(4, 52, 11, 59, 26, 74, 12, 60)(8, 56, 20, 68, 37, 85, 21, 69)(10, 58, 18, 66, 35, 83, 24, 72)(13, 61, 29, 77, 46, 94, 27, 75)(14, 62, 30, 78, 31, 79, 15, 63)(17, 65, 28, 76, 42, 90, 34, 82)(19, 67, 36, 84, 43, 91, 25, 73)(22, 70, 39, 87, 45, 93, 40, 88)(23, 71, 38, 86, 32, 80, 41, 89)(33, 81, 47, 95, 44, 92, 48, 96)(97, 98, 100)(99, 104, 106)(101, 109, 110)(102, 111, 113)(103, 114, 115)(105, 118, 119)(107, 121, 123)(108, 124, 116)(112, 128, 129)(117, 134, 132)(120, 138, 135)(122, 140, 141)(125, 137, 130)(126, 139, 136)(127, 143, 133)(131, 144, 142)(145, 146, 148)(147, 152, 154)(149, 157, 158)(150, 159, 161)(151, 162, 163)(153, 166, 167)(155, 169, 171)(156, 172, 164)(160, 176, 177)(165, 182, 180)(168, 186, 183)(170, 188, 189)(173, 185, 178)(174, 187, 184)(175, 191, 181)(179, 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) :: { ( 12^3 ), ( 12^8 ) }
Outer automorphisms :: reflexible
Dual of E19.870
Graph:: simple bipartite
	v = 44 e = 96 f = 16
	degree seq :: [ 3^32, 8^12 ]

E19.869 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1^-1 * Y2)^2, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y2 * Y3^-2 * Y2 * Y1, Y1^-1 * Y3^-2 * Y1^-1 * Y2^-1, Y3^2 * Y1^-1 * Y3^2 * Y2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2)^3, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 17, 65, 7, 55)(2, 50, 9, 57, 25, 73, 11, 59)(3, 51, 13, 61, 22, 70, 14, 62)(5, 53, 21, 69, 12, 60, 23, 71)(6, 54, 24, 72, 8, 56, 26, 74)(10, 58, 35, 83, 20, 68, 36, 84)(15, 63, 41, 89, 28, 76, 42, 90)(16, 64, 43, 91, 27, 75, 44, 92)(18, 66, 37, 85, 30, 78, 32, 80)(19, 67, 31, 79, 29, 77, 38, 86)(33, 81, 47, 95, 40, 88, 46, 94)(34, 82, 45, 93, 39, 87, 48, 96)(97, 98, 101)(99, 108, 106)(100, 111, 114)(102, 116, 121)(103, 123, 125)(104, 113, 118)(105, 127, 129)(107, 133, 135)(109, 134, 130)(110, 128, 136)(112, 126, 131)(115, 132, 124)(117, 141, 139)(119, 143, 137)(120, 142, 140)(122, 144, 138)(145, 147, 150)(146, 152, 154)(148, 160, 163)(149, 164, 166)(151, 172, 174)(153, 176, 178)(155, 182, 184)(156, 161, 169)(157, 181, 177)(158, 175, 183)(159, 173, 179)(162, 180, 171)(165, 190, 186)(167, 192, 188)(168, 189, 185)(170, 191, 187)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^3 ), ( 12^8 ) }
Outer automorphisms :: reflexible
Dual of E19.871
Graph:: simple bipartite
	v = 44 e = 96 f = 16
	degree seq :: [ 3^32, 8^12 ]

E19.870 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2^3, Y3 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, (Y1^-1 * Y2^-1 * Y3^-1)^2, (Y1^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 15, 63, 111, 159)(5, 53, 101, 149, 20, 68, 116, 164, 22, 70, 118, 166)(6, 54, 102, 150, 17, 65, 113, 161, 25, 73, 121, 169)(8, 56, 104, 152, 18, 66, 114, 162, 27, 75, 123, 171)(10, 58, 106, 154, 31, 79, 127, 175, 35, 83, 131, 179)(12, 60, 108, 156, 39, 87, 135, 183, 29, 77, 125, 173)(14, 62, 110, 158, 42, 90, 138, 186, 43, 91, 139, 187)(16, 64, 112, 160, 26, 74, 122, 170, 24, 72, 120, 168)(19, 67, 115, 163, 32, 80, 128, 176, 37, 85, 133, 181)(21, 69, 117, 165, 47, 95, 143, 191, 45, 93, 141, 189)(23, 71, 119, 167, 33, 81, 129, 177, 48, 96, 144, 192)(28, 76, 124, 172, 41, 89, 137, 185, 46, 94, 142, 190)(30, 78, 126, 174, 36, 84, 132, 180, 34, 82, 130, 178)(38, 86, 134, 182, 40, 88, 136, 184, 44, 92, 140, 188)
	L = (1, 50)(2, 53)(3, 60)(4, 61)(5, 49)(6, 71)(7, 74)(8, 76)(9, 66)(10, 81)(11, 84)(12, 62)(13, 65)(14, 51)(15, 70)(16, 93)(17, 52)(18, 79)(19, 90)(20, 80)(21, 96)(22, 92)(23, 72)(24, 54)(25, 91)(26, 75)(27, 55)(28, 77)(29, 56)(30, 73)(31, 57)(32, 95)(33, 82)(34, 58)(35, 87)(36, 85)(37, 59)(38, 69)(39, 88)(40, 83)(41, 64)(42, 94)(43, 78)(44, 63)(45, 89)(46, 67)(47, 68)(48, 86)(97, 147)(98, 152)(99, 150)(100, 160)(101, 163)(102, 145)(103, 155)(104, 154)(105, 174)(106, 146)(107, 166)(108, 182)(109, 164)(110, 185)(111, 173)(112, 162)(113, 186)(114, 148)(115, 165)(116, 184)(117, 149)(118, 151)(119, 180)(120, 191)(121, 192)(122, 169)(123, 190)(124, 168)(125, 187)(126, 176)(127, 156)(128, 153)(129, 188)(130, 161)(131, 167)(132, 179)(133, 158)(134, 175)(135, 171)(136, 157)(137, 181)(138, 178)(139, 159)(140, 189)(141, 177)(142, 183)(143, 172)(144, 170)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.868
Transitivity :: VT+
Graph::
	v = 16 e = 96 f = 44
	degree seq :: [ 12^16 ]

E19.871 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1 * Y3 * Y2, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y3 * Y2^-1 * Y1^-1)^2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y1 * Y2 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 7, 55, 103, 151)(2, 50, 98, 146, 6, 54, 102, 150, 10, 58, 106, 154)(3, 51, 99, 147, 11, 59, 107, 155, 13, 61, 109, 157)(5, 53, 101, 149, 9, 57, 105, 153, 17, 65, 113, 161)(8, 56, 104, 152, 20, 68, 116, 164, 22, 70, 118, 166)(12, 60, 108, 156, 19, 67, 115, 163, 28, 76, 124, 172)(14, 62, 110, 158, 16, 64, 112, 160, 32, 80, 128, 176)(15, 63, 111, 159, 31, 79, 127, 175, 33, 81, 129, 177)(18, 66, 114, 162, 29, 77, 125, 173, 36, 84, 132, 180)(21, 69, 117, 165, 24, 72, 120, 168, 41, 89, 137, 185)(23, 71, 119, 167, 42, 90, 138, 186, 43, 91, 139, 187)(25, 73, 121, 169, 27, 75, 123, 171, 39, 87, 135, 183)(26, 74, 122, 170, 45, 93, 141, 189, 46, 94, 142, 190)(30, 78, 126, 174, 38, 86, 134, 182, 40, 88, 136, 184)(34, 82, 130, 178, 35, 83, 131, 179, 47, 95, 143, 191)(37, 85, 133, 181, 44, 92, 140, 188, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 55)(4, 62)(5, 49)(6, 61)(7, 60)(8, 58)(9, 70)(10, 69)(11, 73)(12, 51)(13, 66)(14, 63)(15, 52)(16, 65)(17, 82)(18, 54)(19, 81)(20, 86)(21, 56)(22, 71)(23, 57)(24, 84)(25, 74)(26, 59)(27, 76)(28, 90)(29, 94)(30, 80)(31, 88)(32, 93)(33, 85)(34, 64)(35, 91)(36, 92)(37, 67)(38, 87)(39, 68)(40, 89)(41, 79)(42, 75)(43, 96)(44, 72)(45, 78)(46, 95)(47, 77)(48, 83)(97, 147)(98, 152)(99, 150)(100, 149)(101, 160)(102, 145)(103, 159)(104, 153)(105, 146)(106, 162)(107, 156)(108, 171)(109, 170)(110, 174)(111, 163)(112, 148)(113, 167)(114, 168)(115, 151)(116, 165)(117, 184)(118, 183)(119, 179)(120, 154)(121, 182)(122, 173)(123, 155)(124, 181)(125, 157)(126, 175)(127, 158)(128, 178)(129, 185)(130, 190)(131, 161)(132, 191)(133, 187)(134, 189)(135, 186)(136, 164)(137, 188)(138, 166)(139, 172)(140, 177)(141, 169)(142, 176)(143, 192)(144, 180)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.869
Transitivity :: VT+
Graph::
	v = 16 e = 96 f = 44
	degree seq :: [ 12^16 ]

E19.872 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y2^3, Y1^3, R * Y2 * R * Y1, Y3^4, (R * Y3)^2, (Y3 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, (Y1^-1 * Y3)^3, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 3, 51, 99, 147, 9, 57, 105, 153, 5, 53, 101, 149)(2, 50, 98, 146, 6, 54, 102, 150, 16, 64, 112, 160, 7, 55, 103, 151)(4, 52, 100, 148, 11, 59, 107, 155, 26, 74, 122, 170, 12, 60, 108, 156)(8, 56, 104, 152, 20, 68, 116, 164, 37, 85, 133, 181, 21, 69, 117, 165)(10, 58, 106, 154, 18, 66, 114, 162, 35, 83, 131, 179, 24, 72, 120, 168)(13, 61, 109, 157, 29, 77, 125, 173, 46, 94, 142, 190, 27, 75, 123, 171)(14, 62, 110, 158, 30, 78, 126, 174, 31, 79, 127, 175, 15, 63, 111, 159)(17, 65, 113, 161, 28, 76, 124, 172, 42, 90, 138, 186, 34, 82, 130, 178)(19, 67, 115, 163, 36, 84, 132, 180, 43, 91, 139, 187, 25, 73, 121, 169)(22, 70, 118, 166, 39, 87, 135, 183, 45, 93, 141, 189, 40, 88, 136, 184)(23, 71, 119, 167, 38, 86, 134, 182, 32, 80, 128, 176, 41, 89, 137, 185)(33, 81, 129, 177, 47, 95, 143, 191, 44, 92, 140, 188, 48, 96, 144, 192)
	L = (1, 50)(2, 52)(3, 56)(4, 49)(5, 61)(6, 63)(7, 66)(8, 58)(9, 70)(10, 51)(11, 73)(12, 76)(13, 62)(14, 53)(15, 65)(16, 80)(17, 54)(18, 67)(19, 55)(20, 60)(21, 86)(22, 71)(23, 57)(24, 90)(25, 75)(26, 92)(27, 59)(28, 68)(29, 89)(30, 91)(31, 95)(32, 81)(33, 64)(34, 77)(35, 96)(36, 69)(37, 79)(38, 84)(39, 72)(40, 78)(41, 82)(42, 87)(43, 88)(44, 93)(45, 74)(46, 83)(47, 85)(48, 94)(97, 146)(98, 148)(99, 152)(100, 145)(101, 157)(102, 159)(103, 162)(104, 154)(105, 166)(106, 147)(107, 169)(108, 172)(109, 158)(110, 149)(111, 161)(112, 176)(113, 150)(114, 163)(115, 151)(116, 156)(117, 182)(118, 167)(119, 153)(120, 186)(121, 171)(122, 188)(123, 155)(124, 164)(125, 185)(126, 187)(127, 191)(128, 177)(129, 160)(130, 173)(131, 192)(132, 165)(133, 175)(134, 180)(135, 168)(136, 174)(137, 178)(138, 183)(139, 184)(140, 189)(141, 170)(142, 179)(143, 181)(144, 190)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.866
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 48
	degree seq :: [ 16^12 ]

E19.873 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1^-1 * Y2)^2, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y2 * Y3^-2 * Y2 * Y1, Y1^-1 * Y3^-2 * Y1^-1 * Y2^-1, Y3^2 * Y1^-1 * Y3^2 * Y2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2)^3, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 17, 65, 113, 161, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 25, 73, 121, 169, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 22, 70, 118, 166, 14, 62, 110, 158)(5, 53, 101, 149, 21, 69, 117, 165, 12, 60, 108, 156, 23, 71, 119, 167)(6, 54, 102, 150, 24, 72, 120, 168, 8, 56, 104, 152, 26, 74, 122, 170)(10, 58, 106, 154, 35, 83, 131, 179, 20, 68, 116, 164, 36, 84, 132, 180)(15, 63, 111, 159, 41, 89, 137, 185, 28, 76, 124, 172, 42, 90, 138, 186)(16, 64, 112, 160, 43, 91, 139, 187, 27, 75, 123, 171, 44, 92, 140, 188)(18, 66, 114, 162, 37, 85, 133, 181, 30, 78, 126, 174, 32, 80, 128, 176)(19, 67, 115, 163, 31, 79, 127, 175, 29, 77, 125, 173, 38, 86, 134, 182)(33, 81, 129, 177, 47, 95, 143, 191, 40, 88, 136, 184, 46, 94, 142, 190)(34, 82, 130, 178, 45, 93, 141, 189, 39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 60)(4, 63)(5, 49)(6, 68)(7, 75)(8, 65)(9, 79)(10, 51)(11, 85)(12, 58)(13, 86)(14, 80)(15, 66)(16, 78)(17, 70)(18, 52)(19, 84)(20, 73)(21, 93)(22, 56)(23, 95)(24, 94)(25, 54)(26, 96)(27, 77)(28, 67)(29, 55)(30, 83)(31, 81)(32, 88)(33, 57)(34, 61)(35, 64)(36, 76)(37, 87)(38, 82)(39, 59)(40, 62)(41, 71)(42, 74)(43, 69)(44, 72)(45, 91)(46, 92)(47, 89)(48, 90)(97, 147)(98, 152)(99, 150)(100, 160)(101, 164)(102, 145)(103, 172)(104, 154)(105, 176)(106, 146)(107, 182)(108, 161)(109, 181)(110, 175)(111, 173)(112, 163)(113, 169)(114, 180)(115, 148)(116, 166)(117, 190)(118, 149)(119, 192)(120, 189)(121, 156)(122, 191)(123, 162)(124, 174)(125, 179)(126, 151)(127, 183)(128, 178)(129, 157)(130, 153)(131, 159)(132, 171)(133, 177)(134, 184)(135, 158)(136, 155)(137, 168)(138, 165)(139, 170)(140, 167)(141, 185)(142, 186)(143, 187)(144, 188)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.867
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 48
	degree seq :: [ 16^12 ]

E19.874 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y1^3, Y2 * Y3^-2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, (Y1 * Y3)^4, Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 9, 57)(4, 52, 10, 58, 11, 59)(6, 54, 14, 62, 15, 63)(7, 55, 16, 64, 17, 65)(12, 60, 25, 73, 26, 74)(13, 61, 27, 75, 18, 66)(19, 67, 33, 81, 34, 82)(20, 68, 35, 83, 31, 79)(21, 69, 36, 84, 22, 70)(23, 71, 37, 85, 38, 86)(24, 72, 39, 87, 40, 88)(28, 76, 44, 92, 43, 91)(29, 77, 45, 93, 30, 78)(32, 80, 46, 94, 47, 95)(41, 89, 48, 96, 42, 90)(97, 145, 99, 147, 100, 148)(98, 146, 102, 150, 103, 151)(101, 149, 108, 156, 109, 157)(104, 152, 114, 162, 115, 163)(105, 153, 116, 164, 117, 165)(106, 154, 118, 166, 119, 167)(107, 155, 120, 168, 110, 158)(111, 159, 124, 172, 125, 173)(112, 160, 126, 174, 127, 175)(113, 161, 128, 176, 121, 169)(122, 170, 133, 181, 137, 185)(123, 171, 138, 186, 139, 187)(129, 177, 140, 188, 136, 184)(130, 178, 142, 190, 131, 179)(132, 180, 141, 189, 144, 192)(134, 182, 143, 191, 135, 183)
	L = (1, 100)(2, 103)(3, 97)(4, 99)(5, 109)(6, 98)(7, 102)(8, 115)(9, 117)(10, 119)(11, 110)(12, 101)(13, 108)(14, 120)(15, 125)(16, 127)(17, 121)(18, 104)(19, 114)(20, 105)(21, 116)(22, 106)(23, 118)(24, 107)(25, 128)(26, 137)(27, 139)(28, 111)(29, 124)(30, 112)(31, 126)(32, 113)(33, 136)(34, 131)(35, 142)(36, 144)(37, 122)(38, 135)(39, 143)(40, 140)(41, 133)(42, 123)(43, 138)(44, 129)(45, 132)(46, 130)(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) :: { ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.876
Graph:: bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 6^32 ]

E19.875 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3^3, Y2^3, Y1^3, (R * Y3)^2, Y2 * Y3 * Y1^-1 * Y3^-1, (R * Y1)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, R * Y2 * Y1 * R * Y2^-1, Y1 * Y3^-1 * Y1 * Y3 * Y2, (Y1^-1 * Y2^-1)^3, (Y3 * Y2^-1 * Y1^-1)^2, Y2 * Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 14, 62)(4, 52, 13, 61, 17, 65)(6, 54, 23, 71, 24, 72)(7, 55, 26, 74, 27, 75)(8, 56, 28, 76, 30, 78)(9, 57, 29, 77, 32, 80)(10, 58, 34, 82, 35, 83)(11, 59, 25, 73, 37, 85)(15, 63, 43, 91, 44, 92)(16, 64, 20, 68, 45, 93)(18, 66, 46, 94, 31, 79)(19, 67, 39, 87, 41, 89)(21, 69, 47, 95, 38, 86)(22, 70, 36, 84, 42, 90)(33, 81, 48, 96, 40, 88)(97, 145, 99, 147, 102, 150)(98, 146, 104, 152, 106, 154)(100, 148, 112, 160, 114, 162)(101, 149, 115, 163, 117, 165)(103, 151, 107, 155, 118, 166)(105, 153, 113, 161, 129, 177)(108, 156, 134, 182, 125, 173)(109, 157, 135, 183, 131, 179)(110, 158, 136, 184, 138, 186)(111, 159, 123, 171, 126, 174)(116, 164, 128, 176, 139, 187)(119, 167, 132, 180, 142, 190)(120, 168, 141, 189, 124, 172)(121, 169, 140, 188, 143, 191)(122, 170, 144, 192, 130, 178)(127, 175, 133, 181, 137, 185)
	L = (1, 100)(2, 105)(3, 109)(4, 103)(5, 116)(6, 113)(7, 97)(8, 125)(9, 107)(10, 128)(11, 98)(12, 114)(13, 111)(14, 137)(15, 99)(16, 122)(17, 121)(18, 123)(19, 141)(20, 118)(21, 112)(22, 101)(23, 131)(24, 144)(25, 102)(26, 117)(27, 108)(28, 129)(29, 127)(30, 110)(31, 104)(32, 132)(33, 133)(34, 134)(35, 140)(36, 106)(37, 124)(38, 142)(39, 139)(40, 115)(41, 126)(42, 135)(43, 138)(44, 119)(45, 136)(46, 130)(47, 120)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.877
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 6^32 ]

E19.876 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, Y3 * Y2, Y2^2 * Y3^-1, (R * Y1)^2, Y1^4, R * Y2 * R * Y3^-1, (Y1^-1 * Y2^-1)^3, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 5, 53)(3, 51, 9, 57, 21, 69, 10, 58)(4, 52, 11, 59, 25, 73, 12, 60)(7, 55, 17, 65, 35, 83, 18, 66)(8, 56, 19, 67, 37, 85, 20, 68)(13, 61, 29, 77, 46, 94, 27, 75)(14, 62, 30, 78, 41, 89, 22, 70)(15, 63, 31, 79, 44, 92, 32, 80)(16, 64, 33, 81, 39, 87, 34, 82)(23, 71, 28, 76, 38, 86, 42, 90)(24, 72, 36, 84, 45, 93, 26, 74)(40, 88, 47, 95, 43, 91, 48, 96)(97, 145, 99, 147, 100, 148)(98, 146, 103, 151, 104, 152)(101, 149, 109, 157, 110, 158)(102, 150, 111, 159, 112, 160)(105, 153, 118, 166, 119, 167)(106, 154, 115, 163, 120, 168)(107, 155, 122, 170, 123, 171)(108, 156, 124, 172, 113, 161)(114, 162, 129, 177, 132, 180)(116, 164, 134, 182, 127, 175)(117, 165, 135, 183, 136, 184)(121, 169, 139, 187, 140, 188)(125, 173, 130, 178, 138, 186)(126, 174, 141, 189, 128, 176)(131, 179, 137, 185, 143, 191)(133, 181, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 97)(4, 99)(5, 110)(6, 112)(7, 98)(8, 103)(9, 119)(10, 120)(11, 123)(12, 113)(13, 101)(14, 109)(15, 102)(16, 111)(17, 124)(18, 132)(19, 106)(20, 127)(21, 136)(22, 105)(23, 118)(24, 115)(25, 140)(26, 107)(27, 122)(28, 108)(29, 138)(30, 128)(31, 134)(32, 141)(33, 114)(34, 125)(35, 143)(36, 129)(37, 142)(38, 116)(39, 117)(40, 135)(41, 131)(42, 130)(43, 121)(44, 139)(45, 126)(46, 144)(47, 137)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6^6 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E19.874
Graph:: bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 6^16, 8^12 ]

E19.877 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y1^-1 * Y3, Y2^3, (R * Y3^-1)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^3, (Y1 * Y3)^3, (Y1 * Y2)^3, Y1 * Y3^-1 * Y2 * Y3 * Y1^-2 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 12, 60, 21, 69, 7, 55)(4, 52, 15, 63, 36, 84, 16, 64)(6, 54, 20, 68, 35, 83, 14, 62)(9, 57, 25, 73, 29, 77, 11, 59)(10, 58, 27, 75, 45, 93, 28, 76)(13, 61, 26, 74, 39, 87, 34, 82)(17, 65, 41, 89, 37, 85, 19, 67)(18, 66, 42, 90, 33, 81, 31, 79)(22, 70, 30, 78, 44, 92, 38, 86)(23, 71, 40, 88, 43, 91, 24, 72)(32, 80, 46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 102, 150)(98, 146, 105, 153, 100, 148)(101, 149, 113, 161, 114, 162)(103, 151, 111, 159, 118, 166)(104, 152, 119, 167, 106, 154)(107, 155, 123, 171, 126, 174)(108, 156, 127, 175, 109, 157)(110, 158, 122, 170, 121, 169)(112, 160, 135, 183, 136, 184)(115, 163, 116, 164, 134, 182)(117, 165, 141, 189, 128, 176)(120, 168, 138, 186, 140, 188)(124, 172, 130, 178, 137, 185)(125, 173, 129, 177, 142, 190)(131, 179, 144, 192, 139, 187)(132, 180, 143, 191, 133, 181)
	L = (1, 100)(2, 106)(3, 109)(4, 103)(5, 102)(6, 115)(7, 97)(8, 114)(9, 122)(10, 107)(11, 98)(12, 128)(13, 110)(14, 99)(15, 133)(16, 105)(17, 130)(18, 120)(19, 101)(20, 139)(21, 118)(22, 123)(23, 135)(24, 104)(25, 142)(26, 112)(27, 117)(28, 119)(29, 126)(30, 138)(31, 113)(32, 129)(33, 108)(34, 127)(35, 121)(36, 136)(37, 134)(38, 111)(39, 124)(40, 144)(41, 143)(42, 125)(43, 140)(44, 116)(45, 137)(46, 131)(47, 141)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6^6 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E19.875
Graph:: bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 6^16, 8^12 ]

E19.878 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y1^-1 * Y2, Y3^-2 * Y1^-2, Y2^4, Y3 * Y1^-2 * Y3, Y3^2 * Y2^2, Y2^-1 * Y3^2 * Y2^-1, Y1 * Y2^2 * Y1, Y3^2 * Y1^2, R * Y1 * R * Y2, Y1^-1 * Y2^-1 * Y1^-1 * Y2, (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 8, 56, 7, 55)(2, 50, 10, 58, 5, 53, 12, 60)(3, 51, 13, 61, 6, 54, 14, 62)(9, 57, 19, 67, 11, 59, 20, 68)(15, 63, 25, 73, 17, 65, 26, 74)(16, 64, 27, 75, 18, 66, 28, 76)(21, 69, 29, 77, 23, 71, 30, 78)(22, 70, 31, 79, 24, 72, 32, 80)(33, 81, 41, 89, 35, 83, 42, 90)(34, 82, 43, 91, 36, 84, 44, 92)(37, 85, 45, 93, 39, 87, 46, 94)(38, 86, 47, 95, 40, 88, 48, 96)(97, 98, 104, 101)(99, 107, 102, 105)(100, 111, 103, 113)(106, 117, 108, 119)(109, 120, 110, 118)(112, 116, 114, 115)(121, 129, 122, 131)(123, 132, 124, 130)(125, 133, 126, 135)(127, 136, 128, 134)(137, 141, 138, 142)(139, 144, 140, 143)(145, 147, 152, 150)(146, 153, 149, 155)(148, 160, 151, 162)(154, 166, 156, 168)(157, 165, 158, 167)(159, 163, 161, 164)(169, 178, 170, 180)(171, 177, 172, 179)(173, 182, 174, 184)(175, 181, 176, 183)(185, 191, 186, 192)(187, 189, 188, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.881
Graph:: bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.879 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^2 * Y2, Y1^4, Y2 * Y1^-1 * Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2^-2 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 11, 59)(5, 53, 16, 64)(6, 54, 17, 65)(7, 55, 18, 66)(8, 56, 19, 67)(10, 58, 24, 72)(12, 60, 25, 73)(13, 61, 26, 74)(14, 62, 27, 75)(15, 63, 28, 76)(20, 68, 29, 77)(21, 69, 30, 78)(22, 70, 31, 79)(23, 71, 32, 80)(33, 81, 41, 89)(34, 82, 42, 90)(35, 83, 43, 91)(36, 84, 44, 92)(37, 85, 45, 93)(38, 86, 46, 94)(39, 87, 47, 95)(40, 88, 48, 96)(97, 98, 103, 101)(99, 106, 102, 104)(100, 108, 114, 110)(105, 116, 112, 118)(107, 119, 113, 117)(109, 120, 111, 115)(121, 129, 123, 131)(122, 132, 124, 130)(125, 133, 127, 135)(126, 136, 128, 134)(137, 143, 139, 141)(138, 142, 140, 144)(145, 147, 151, 150)(146, 152, 149, 154)(148, 157, 162, 159)(153, 165, 160, 167)(155, 164, 161, 166)(156, 163, 158, 168)(169, 178, 171, 180)(170, 177, 172, 179)(173, 182, 175, 184)(174, 181, 176, 183)(185, 192, 187, 190)(186, 191, 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) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.880
Graph:: simple bipartite
	v = 48 e = 96 f = 12
	degree seq :: [ 4^48 ]

E19.880 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y1^-1 * Y2, Y3^-2 * Y1^-2, Y2^4, Y3 * Y1^-2 * Y3, Y3^2 * Y2^2, Y2^-1 * Y3^2 * Y2^-1, Y1 * Y2^2 * Y1, Y3^2 * Y1^2, R * Y1 * R * Y2, Y1^-1 * Y2^-1 * Y1^-1 * Y2, (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 8, 56, 104, 152, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 5, 53, 101, 149, 12, 60, 108, 156)(3, 51, 99, 147, 13, 61, 109, 157, 6, 54, 102, 150, 14, 62, 110, 158)(9, 57, 105, 153, 19, 67, 115, 163, 11, 59, 107, 155, 20, 68, 116, 164)(15, 63, 111, 159, 25, 73, 121, 169, 17, 65, 113, 161, 26, 74, 122, 170)(16, 64, 112, 160, 27, 75, 123, 171, 18, 66, 114, 162, 28, 76, 124, 172)(21, 69, 117, 165, 29, 77, 125, 173, 23, 71, 119, 167, 30, 78, 126, 174)(22, 70, 118, 166, 31, 79, 127, 175, 24, 72, 120, 168, 32, 80, 128, 176)(33, 81, 129, 177, 41, 89, 137, 185, 35, 83, 131, 179, 42, 90, 138, 186)(34, 82, 130, 178, 43, 91, 139, 187, 36, 84, 132, 180, 44, 92, 140, 188)(37, 85, 133, 181, 45, 93, 141, 189, 39, 87, 135, 183, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191, 40, 88, 136, 184, 48, 96, 144, 192)
	L = (1, 50)(2, 56)(3, 59)(4, 63)(5, 49)(6, 57)(7, 65)(8, 53)(9, 51)(10, 69)(11, 54)(12, 71)(13, 72)(14, 70)(15, 55)(16, 68)(17, 52)(18, 67)(19, 64)(20, 66)(21, 60)(22, 61)(23, 58)(24, 62)(25, 81)(26, 83)(27, 84)(28, 82)(29, 85)(30, 87)(31, 88)(32, 86)(33, 74)(34, 75)(35, 73)(36, 76)(37, 78)(38, 79)(39, 77)(40, 80)(41, 93)(42, 94)(43, 96)(44, 95)(45, 90)(46, 89)(47, 91)(48, 92)(97, 147)(98, 153)(99, 152)(100, 160)(101, 155)(102, 145)(103, 162)(104, 150)(105, 149)(106, 166)(107, 146)(108, 168)(109, 165)(110, 167)(111, 163)(112, 151)(113, 164)(114, 148)(115, 161)(116, 159)(117, 158)(118, 156)(119, 157)(120, 154)(121, 178)(122, 180)(123, 177)(124, 179)(125, 182)(126, 184)(127, 181)(128, 183)(129, 172)(130, 170)(131, 171)(132, 169)(133, 176)(134, 174)(135, 175)(136, 173)(137, 191)(138, 192)(139, 189)(140, 190)(141, 188)(142, 187)(143, 186)(144, 185)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.879
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 48
	degree seq :: [ 16^12 ]

E19.881 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^2 * Y2, Y1^4, Y2 * Y1^-1 * Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2^-2 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 11, 59, 107, 155)(5, 53, 101, 149, 16, 64, 112, 160)(6, 54, 102, 150, 17, 65, 113, 161)(7, 55, 103, 151, 18, 66, 114, 162)(8, 56, 104, 152, 19, 67, 115, 163)(10, 58, 106, 154, 24, 72, 120, 168)(12, 60, 108, 156, 25, 73, 121, 169)(13, 61, 109, 157, 26, 74, 122, 170)(14, 62, 110, 158, 27, 75, 123, 171)(15, 63, 111, 159, 28, 76, 124, 172)(20, 68, 116, 164, 29, 77, 125, 173)(21, 69, 117, 165, 30, 78, 126, 174)(22, 70, 118, 166, 31, 79, 127, 175)(23, 71, 119, 167, 32, 80, 128, 176)(33, 81, 129, 177, 41, 89, 137, 185)(34, 82, 130, 178, 42, 90, 138, 186)(35, 83, 131, 179, 43, 91, 139, 187)(36, 84, 132, 180, 44, 92, 140, 188)(37, 85, 133, 181, 45, 93, 141, 189)(38, 86, 134, 182, 46, 94, 142, 190)(39, 87, 135, 183, 47, 95, 143, 191)(40, 88, 136, 184, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 58)(4, 60)(5, 49)(6, 56)(7, 53)(8, 51)(9, 68)(10, 54)(11, 71)(12, 66)(13, 72)(14, 52)(15, 67)(16, 70)(17, 69)(18, 62)(19, 61)(20, 64)(21, 59)(22, 57)(23, 65)(24, 63)(25, 81)(26, 84)(27, 83)(28, 82)(29, 85)(30, 88)(31, 87)(32, 86)(33, 75)(34, 74)(35, 73)(36, 76)(37, 79)(38, 78)(39, 77)(40, 80)(41, 95)(42, 94)(43, 93)(44, 96)(45, 89)(46, 92)(47, 91)(48, 90)(97, 147)(98, 152)(99, 151)(100, 157)(101, 154)(102, 145)(103, 150)(104, 149)(105, 165)(106, 146)(107, 164)(108, 163)(109, 162)(110, 168)(111, 148)(112, 167)(113, 166)(114, 159)(115, 158)(116, 161)(117, 160)(118, 155)(119, 153)(120, 156)(121, 178)(122, 177)(123, 180)(124, 179)(125, 182)(126, 181)(127, 184)(128, 183)(129, 172)(130, 171)(131, 170)(132, 169)(133, 176)(134, 175)(135, 174)(136, 173)(137, 192)(138, 191)(139, 190)(140, 189)(141, 186)(142, 185)(143, 188)(144, 187)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.878
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.882 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, Y2 * Y3 * Y2^-1 * Y3, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y2^-1 * Y3 * Y1 * Y3 * Y1 * Y2^-1, Y2 * Y1 * Y2 * 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, 12, 60)(5, 53, 14, 62)(6, 54, 15, 63)(7, 55, 18, 66)(8, 56, 20, 68)(10, 58, 16, 64)(11, 59, 24, 72)(13, 61, 22, 70)(17, 65, 28, 76)(19, 67, 26, 74)(21, 69, 29, 77)(23, 71, 32, 80)(25, 73, 33, 81)(27, 75, 36, 84)(30, 78, 40, 88)(31, 79, 38, 86)(34, 82, 44, 92)(35, 83, 42, 90)(37, 85, 43, 91)(39, 87, 41, 89)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 112, 160, 104, 152)(100, 148, 107, 155, 114, 162, 109, 157)(103, 151, 113, 161, 108, 156, 115, 163)(105, 153, 117, 165, 110, 158, 119, 167)(111, 159, 121, 169, 116, 164, 123, 171)(118, 166, 126, 174, 120, 168, 127, 175)(122, 170, 130, 178, 124, 172, 131, 179)(125, 173, 133, 181, 128, 176, 135, 183)(129, 177, 137, 185, 132, 180, 139, 187)(134, 182, 141, 189, 136, 184, 142, 190)(138, 186, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 109)(6, 113)(7, 98)(8, 115)(9, 118)(10, 114)(11, 99)(12, 112)(13, 101)(14, 120)(15, 122)(16, 108)(17, 102)(18, 106)(19, 104)(20, 124)(21, 126)(22, 105)(23, 127)(24, 110)(25, 130)(26, 111)(27, 131)(28, 116)(29, 134)(30, 117)(31, 119)(32, 136)(33, 138)(34, 121)(35, 123)(36, 140)(37, 141)(38, 125)(39, 142)(40, 128)(41, 143)(42, 129)(43, 144)(44, 132)(45, 133)(46, 135)(47, 137)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.887
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.883 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y2^-1 * R)^2, (R * Y1)^2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 14, 62)(6, 54, 15, 63)(7, 55, 18, 66)(8, 56, 20, 68)(10, 58, 16, 64)(11, 59, 24, 72)(13, 61, 22, 70)(17, 65, 28, 76)(19, 67, 26, 74)(21, 69, 29, 77)(23, 71, 32, 80)(25, 73, 33, 81)(27, 75, 36, 84)(30, 78, 40, 88)(31, 79, 38, 86)(34, 82, 44, 92)(35, 83, 42, 90)(37, 85, 41, 89)(39, 87, 43, 91)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 112, 160, 104, 152)(100, 148, 107, 155, 114, 162, 109, 157)(103, 151, 113, 161, 108, 156, 115, 163)(105, 153, 117, 165, 110, 158, 119, 167)(111, 159, 121, 169, 116, 164, 123, 171)(118, 166, 126, 174, 120, 168, 127, 175)(122, 170, 130, 178, 124, 172, 131, 179)(125, 173, 133, 181, 128, 176, 135, 183)(129, 177, 137, 185, 132, 180, 139, 187)(134, 182, 141, 189, 136, 184, 142, 190)(138, 186, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 109)(6, 113)(7, 98)(8, 115)(9, 118)(10, 114)(11, 99)(12, 112)(13, 101)(14, 120)(15, 122)(16, 108)(17, 102)(18, 106)(19, 104)(20, 124)(21, 126)(22, 105)(23, 127)(24, 110)(25, 130)(26, 111)(27, 131)(28, 116)(29, 134)(30, 117)(31, 119)(32, 136)(33, 138)(34, 121)(35, 123)(36, 140)(37, 141)(38, 125)(39, 142)(40, 128)(41, 143)(42, 129)(43, 144)(44, 132)(45, 133)(46, 135)(47, 137)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.886
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.884 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y3^4, Y3 * Y2 * Y3 * Y2^-1, Y2^2 * Y3^-2, (R * Y1)^2, Y2 * Y3^2 * Y2, (R * Y3)^2, R * Y2 * R * Y2^-1, Y3^-1 * Y1 * Y3 * Y1, Y2^-1 * Y1 * Y3^-2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 8, 56)(5, 53, 15, 63)(6, 54, 10, 58)(7, 55, 16, 64)(9, 57, 20, 68)(12, 60, 17, 65)(13, 61, 22, 70)(14, 62, 24, 72)(18, 66, 26, 74)(19, 67, 28, 76)(21, 69, 29, 77)(23, 71, 32, 80)(25, 73, 33, 81)(27, 75, 36, 84)(30, 78, 38, 86)(31, 79, 40, 88)(34, 82, 42, 90)(35, 83, 44, 92)(37, 85, 43, 91)(39, 87, 41, 89)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 113, 161, 105, 153)(100, 148, 110, 158, 102, 150, 109, 157)(104, 152, 115, 163, 106, 154, 114, 162)(107, 155, 117, 165, 111, 159, 119, 167)(112, 160, 121, 169, 116, 164, 123, 171)(118, 166, 127, 175, 120, 168, 126, 174)(122, 170, 131, 179, 124, 172, 130, 178)(125, 173, 133, 181, 128, 176, 135, 183)(129, 177, 137, 185, 132, 180, 139, 187)(134, 182, 142, 190, 136, 184, 141, 189)(138, 186, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 104)(3, 109)(4, 108)(5, 110)(6, 97)(7, 114)(8, 113)(9, 115)(10, 98)(11, 118)(12, 102)(13, 101)(14, 99)(15, 120)(16, 122)(17, 106)(18, 105)(19, 103)(20, 124)(21, 126)(22, 111)(23, 127)(24, 107)(25, 130)(26, 116)(27, 131)(28, 112)(29, 134)(30, 119)(31, 117)(32, 136)(33, 138)(34, 123)(35, 121)(36, 140)(37, 141)(38, 128)(39, 142)(40, 125)(41, 143)(42, 132)(43, 144)(44, 129)(45, 135)(46, 133)(47, 139)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.888
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.885 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = Q8 x S3 (small group id <48, 40>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 215>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y2^-1 * Y3^-2 * Y2^-1, Y3^-2 * Y2^2, R * Y2 * R * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y3)^2, Y2^-1 * Y1 * Y3^-2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 8, 56)(5, 53, 15, 63)(6, 54, 10, 58)(7, 55, 16, 64)(9, 57, 20, 68)(12, 60, 17, 65)(13, 61, 22, 70)(14, 62, 24, 72)(18, 66, 26, 74)(19, 67, 28, 76)(21, 69, 29, 77)(23, 71, 32, 80)(25, 73, 33, 81)(27, 75, 36, 84)(30, 78, 38, 86)(31, 79, 40, 88)(34, 82, 42, 90)(35, 83, 44, 92)(37, 85, 41, 89)(39, 87, 43, 91)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 113, 161, 105, 153)(100, 148, 110, 158, 102, 150, 109, 157)(104, 152, 115, 163, 106, 154, 114, 162)(107, 155, 117, 165, 111, 159, 119, 167)(112, 160, 121, 169, 116, 164, 123, 171)(118, 166, 127, 175, 120, 168, 126, 174)(122, 170, 131, 179, 124, 172, 130, 178)(125, 173, 133, 181, 128, 176, 135, 183)(129, 177, 137, 185, 132, 180, 139, 187)(134, 182, 142, 190, 136, 184, 141, 189)(138, 186, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 104)(3, 109)(4, 108)(5, 110)(6, 97)(7, 114)(8, 113)(9, 115)(10, 98)(11, 118)(12, 102)(13, 101)(14, 99)(15, 120)(16, 122)(17, 106)(18, 105)(19, 103)(20, 124)(21, 126)(22, 111)(23, 127)(24, 107)(25, 130)(26, 116)(27, 131)(28, 112)(29, 134)(30, 119)(31, 117)(32, 136)(33, 138)(34, 123)(35, 121)(36, 140)(37, 141)(38, 128)(39, 142)(40, 125)(41, 143)(42, 132)(43, 144)(44, 129)(45, 135)(46, 133)(47, 139)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.889
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.886 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-2 * Y2^2, (Y1^-1 * Y3)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, Y2^-1 * Y1^-2 * Y2^-1, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 6, 54, 13, 61)(4, 52, 14, 62, 16, 64, 9, 57)(8, 56, 17, 65, 10, 58, 19, 67)(12, 60, 24, 72, 15, 63, 22, 70)(18, 66, 28, 76, 20, 68, 26, 74)(21, 69, 29, 77, 23, 71, 31, 79)(25, 73, 33, 81, 27, 75, 35, 83)(30, 78, 40, 88, 32, 80, 38, 86)(34, 82, 44, 92, 36, 84, 42, 90)(37, 85, 43, 91, 39, 87, 41, 89)(45, 93, 47, 95, 46, 94, 48, 96)(97, 145, 99, 147, 103, 151, 102, 150)(98, 146, 104, 152, 101, 149, 106, 154)(100, 148, 108, 156, 112, 160, 111, 159)(105, 153, 114, 162, 110, 158, 116, 164)(107, 155, 117, 165, 109, 157, 119, 167)(113, 161, 121, 169, 115, 163, 123, 171)(118, 166, 126, 174, 120, 168, 128, 176)(122, 170, 130, 178, 124, 172, 132, 180)(125, 173, 133, 181, 127, 175, 135, 183)(129, 177, 137, 185, 131, 179, 139, 187)(134, 182, 141, 189, 136, 184, 142, 190)(138, 186, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 97)(5, 110)(6, 111)(7, 112)(8, 114)(9, 98)(10, 116)(11, 118)(12, 99)(13, 120)(14, 101)(15, 102)(16, 103)(17, 122)(18, 104)(19, 124)(20, 106)(21, 126)(22, 107)(23, 128)(24, 109)(25, 130)(26, 113)(27, 132)(28, 115)(29, 134)(30, 117)(31, 136)(32, 119)(33, 138)(34, 121)(35, 140)(36, 123)(37, 141)(38, 125)(39, 142)(40, 127)(41, 143)(42, 129)(43, 144)(44, 131)(45, 133)(46, 135)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.883
Graph:: bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.887 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, Y2^2 * Y1^2, (Y1^-1 * Y3)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, Y1^-1 * Y2^2 * Y1^-1, (R * Y2)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 6, 54, 13, 61)(4, 52, 14, 62, 16, 64, 9, 57)(8, 56, 17, 65, 10, 58, 19, 67)(12, 60, 24, 72, 15, 63, 22, 70)(18, 66, 28, 76, 20, 68, 26, 74)(21, 69, 29, 77, 23, 71, 31, 79)(25, 73, 33, 81, 27, 75, 35, 83)(30, 78, 40, 88, 32, 80, 38, 86)(34, 82, 44, 92, 36, 84, 42, 90)(37, 85, 41, 89, 39, 87, 43, 91)(45, 93, 48, 96, 46, 94, 47, 95)(97, 145, 99, 147, 103, 151, 102, 150)(98, 146, 104, 152, 101, 149, 106, 154)(100, 148, 108, 156, 112, 160, 111, 159)(105, 153, 114, 162, 110, 158, 116, 164)(107, 155, 117, 165, 109, 157, 119, 167)(113, 161, 121, 169, 115, 163, 123, 171)(118, 166, 126, 174, 120, 168, 128, 176)(122, 170, 130, 178, 124, 172, 132, 180)(125, 173, 133, 181, 127, 175, 135, 183)(129, 177, 137, 185, 131, 179, 139, 187)(134, 182, 141, 189, 136, 184, 142, 190)(138, 186, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 97)(5, 110)(6, 111)(7, 112)(8, 114)(9, 98)(10, 116)(11, 118)(12, 99)(13, 120)(14, 101)(15, 102)(16, 103)(17, 122)(18, 104)(19, 124)(20, 106)(21, 126)(22, 107)(23, 128)(24, 109)(25, 130)(26, 113)(27, 132)(28, 115)(29, 134)(30, 117)(31, 136)(32, 119)(33, 138)(34, 121)(35, 140)(36, 123)(37, 141)(38, 125)(39, 142)(40, 127)(41, 143)(42, 129)(43, 144)(44, 131)(45, 133)(46, 135)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.882
Graph:: bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.888 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, Y3^2 * Y1^2, Y1^4, Y2^2 * Y1^2, Y2^-1 * Y3^2 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y2^2 * Y1^-1, (R * Y1)^2, (Y3^-1, Y1^-1), R * Y2 * R * Y2^-1, (R * Y3)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 6, 54, 15, 63)(4, 52, 10, 58, 7, 55, 12, 60)(9, 57, 17, 65, 11, 59, 19, 67)(14, 62, 22, 70, 16, 64, 24, 72)(18, 66, 26, 74, 20, 68, 28, 76)(21, 69, 29, 77, 23, 71, 31, 79)(25, 73, 33, 81, 27, 75, 35, 83)(30, 78, 38, 86, 32, 80, 40, 88)(34, 82, 42, 90, 36, 84, 44, 92)(37, 85, 41, 89, 39, 87, 43, 91)(45, 93, 47, 95, 46, 94, 48, 96)(97, 145, 99, 147, 104, 152, 102, 150)(98, 146, 105, 153, 101, 149, 107, 155)(100, 148, 112, 160, 103, 151, 110, 158)(106, 154, 116, 164, 108, 156, 114, 162)(109, 157, 117, 165, 111, 159, 119, 167)(113, 161, 121, 169, 115, 163, 123, 171)(118, 166, 128, 176, 120, 168, 126, 174)(122, 170, 132, 180, 124, 172, 130, 178)(125, 173, 133, 181, 127, 175, 135, 183)(129, 177, 137, 185, 131, 179, 139, 187)(134, 182, 142, 190, 136, 184, 141, 189)(138, 186, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 106)(3, 110)(4, 104)(5, 108)(6, 112)(7, 97)(8, 103)(9, 114)(10, 101)(11, 116)(12, 98)(13, 118)(14, 102)(15, 120)(16, 99)(17, 122)(18, 107)(19, 124)(20, 105)(21, 126)(22, 111)(23, 128)(24, 109)(25, 130)(26, 115)(27, 132)(28, 113)(29, 134)(30, 119)(31, 136)(32, 117)(33, 138)(34, 123)(35, 140)(36, 121)(37, 141)(38, 127)(39, 142)(40, 125)(41, 143)(42, 131)(43, 144)(44, 129)(45, 135)(46, 133)(47, 139)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.884
Graph:: bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.889 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = Q8 x S3 (small group id <48, 40>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 215>)
|r| :: 2
Presentation :: [ R^2, Y2^4, Y2^-2 * Y1^2, Y1^4, Y3^-2 * Y2^-2, Y1^-1 * Y3^-2 * Y1^-1, R * Y2 * R * Y2^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (Y3 * Y1^-1)^2, Y2^-1 * Y1^-2 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 6, 54, 15, 63)(4, 52, 10, 58, 7, 55, 12, 60)(9, 57, 17, 65, 11, 59, 19, 67)(14, 62, 22, 70, 16, 64, 24, 72)(18, 66, 26, 74, 20, 68, 28, 76)(21, 69, 29, 77, 23, 71, 31, 79)(25, 73, 33, 81, 27, 75, 35, 83)(30, 78, 38, 86, 32, 80, 40, 88)(34, 82, 42, 90, 36, 84, 44, 92)(37, 85, 43, 91, 39, 87, 41, 89)(45, 93, 48, 96, 46, 94, 47, 95)(97, 145, 99, 147, 104, 152, 102, 150)(98, 146, 105, 153, 101, 149, 107, 155)(100, 148, 112, 160, 103, 151, 110, 158)(106, 154, 116, 164, 108, 156, 114, 162)(109, 157, 117, 165, 111, 159, 119, 167)(113, 161, 121, 169, 115, 163, 123, 171)(118, 166, 128, 176, 120, 168, 126, 174)(122, 170, 132, 180, 124, 172, 130, 178)(125, 173, 133, 181, 127, 175, 135, 183)(129, 177, 137, 185, 131, 179, 139, 187)(134, 182, 142, 190, 136, 184, 141, 189)(138, 186, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 106)(3, 110)(4, 104)(5, 108)(6, 112)(7, 97)(8, 103)(9, 114)(10, 101)(11, 116)(12, 98)(13, 118)(14, 102)(15, 120)(16, 99)(17, 122)(18, 107)(19, 124)(20, 105)(21, 126)(22, 111)(23, 128)(24, 109)(25, 130)(26, 115)(27, 132)(28, 113)(29, 134)(30, 119)(31, 136)(32, 117)(33, 138)(34, 123)(35, 140)(36, 121)(37, 141)(38, 127)(39, 142)(40, 125)(41, 143)(42, 131)(43, 144)(44, 129)(45, 135)(46, 133)(47, 139)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.885
Graph:: bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.890 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = Q8 x S3 (small group id <48, 40>)
Aut   = QD16 x S3 (small group id <96, 120>)
|r| :: 2
Presentation :: [ R^2, Y2^4, Y3^-1 * Y1^-2 * Y3^-1, Y1 * Y2^2 * Y1, Y3^-2 * Y1^2, Y3^4, Y3^-2 * Y2^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y2^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3 * Y2^-1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 8, 56, 7, 55)(2, 50, 10, 58, 5, 53, 12, 60)(3, 51, 13, 61, 6, 54, 14, 62)(9, 57, 19, 67, 11, 59, 20, 68)(15, 63, 25, 73, 17, 65, 26, 74)(16, 64, 27, 75, 18, 66, 28, 76)(21, 69, 29, 77, 23, 71, 30, 78)(22, 70, 31, 79, 24, 72, 32, 80)(33, 81, 41, 89, 35, 83, 42, 90)(34, 82, 43, 91, 36, 84, 44, 92)(37, 85, 45, 93, 39, 87, 46, 94)(38, 86, 47, 95, 40, 88, 48, 96)(97, 98, 104, 101)(99, 107, 102, 105)(100, 111, 103, 113)(106, 117, 108, 119)(109, 120, 110, 118)(112, 116, 114, 115)(121, 129, 122, 131)(123, 132, 124, 130)(125, 133, 126, 135)(127, 136, 128, 134)(137, 142, 138, 141)(139, 143, 140, 144)(145, 147, 152, 150)(146, 153, 149, 155)(148, 160, 151, 162)(154, 166, 156, 168)(157, 165, 158, 167)(159, 163, 161, 164)(169, 178, 170, 180)(171, 177, 172, 179)(173, 182, 174, 184)(175, 181, 176, 183)(185, 192, 186, 191)(187, 190, 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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.893
Graph:: bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.891 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = Q8 x S3 (small group id <48, 40>)
Aut   = QD16 x S3 (small group id <96, 120>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^2 * Y2, Y1^-1 * Y2^2 * Y1^-1, Y1^4, Y2^4, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y1^-1 * Y3 * Y2^-2 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 11, 59)(5, 53, 16, 64)(6, 54, 17, 65)(7, 55, 18, 66)(8, 56, 19, 67)(10, 58, 24, 72)(12, 60, 25, 73)(13, 61, 26, 74)(14, 62, 27, 75)(15, 63, 28, 76)(20, 68, 29, 77)(21, 69, 30, 78)(22, 70, 31, 79)(23, 71, 32, 80)(33, 81, 41, 89)(34, 82, 42, 90)(35, 83, 43, 91)(36, 84, 44, 92)(37, 85, 45, 93)(38, 86, 46, 94)(39, 87, 47, 95)(40, 88, 48, 96)(97, 98, 103, 101)(99, 106, 102, 104)(100, 108, 114, 110)(105, 116, 112, 118)(107, 119, 113, 117)(109, 120, 111, 115)(121, 129, 123, 131)(122, 132, 124, 130)(125, 133, 127, 135)(126, 136, 128, 134)(137, 141, 139, 143)(138, 144, 140, 142)(145, 147, 151, 150)(146, 152, 149, 154)(148, 157, 162, 159)(153, 165, 160, 167)(155, 164, 161, 166)(156, 163, 158, 168)(169, 178, 171, 180)(170, 177, 172, 179)(173, 182, 175, 184)(174, 181, 176, 183)(185, 190, 187, 192)(186, 189, 188, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.892
Graph:: simple bipartite
	v = 48 e = 96 f = 12
	degree seq :: [ 4^48 ]

E19.892 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = Q8 x S3 (small group id <48, 40>)
Aut   = QD16 x S3 (small group id <96, 120>)
|r| :: 2
Presentation :: [ R^2, Y2^4, Y3^-1 * Y1^-2 * Y3^-1, Y1 * Y2^2 * Y1, Y3^-2 * Y1^2, Y3^4, Y3^-2 * Y2^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y2^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3 * Y2^-1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 8, 56, 104, 152, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 5, 53, 101, 149, 12, 60, 108, 156)(3, 51, 99, 147, 13, 61, 109, 157, 6, 54, 102, 150, 14, 62, 110, 158)(9, 57, 105, 153, 19, 67, 115, 163, 11, 59, 107, 155, 20, 68, 116, 164)(15, 63, 111, 159, 25, 73, 121, 169, 17, 65, 113, 161, 26, 74, 122, 170)(16, 64, 112, 160, 27, 75, 123, 171, 18, 66, 114, 162, 28, 76, 124, 172)(21, 69, 117, 165, 29, 77, 125, 173, 23, 71, 119, 167, 30, 78, 126, 174)(22, 70, 118, 166, 31, 79, 127, 175, 24, 72, 120, 168, 32, 80, 128, 176)(33, 81, 129, 177, 41, 89, 137, 185, 35, 83, 131, 179, 42, 90, 138, 186)(34, 82, 130, 178, 43, 91, 139, 187, 36, 84, 132, 180, 44, 92, 140, 188)(37, 85, 133, 181, 45, 93, 141, 189, 39, 87, 135, 183, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191, 40, 88, 136, 184, 48, 96, 144, 192)
	L = (1, 50)(2, 56)(3, 59)(4, 63)(5, 49)(6, 57)(7, 65)(8, 53)(9, 51)(10, 69)(11, 54)(12, 71)(13, 72)(14, 70)(15, 55)(16, 68)(17, 52)(18, 67)(19, 64)(20, 66)(21, 60)(22, 61)(23, 58)(24, 62)(25, 81)(26, 83)(27, 84)(28, 82)(29, 85)(30, 87)(31, 88)(32, 86)(33, 74)(34, 75)(35, 73)(36, 76)(37, 78)(38, 79)(39, 77)(40, 80)(41, 94)(42, 93)(43, 95)(44, 96)(45, 89)(46, 90)(47, 92)(48, 91)(97, 147)(98, 153)(99, 152)(100, 160)(101, 155)(102, 145)(103, 162)(104, 150)(105, 149)(106, 166)(107, 146)(108, 168)(109, 165)(110, 167)(111, 163)(112, 151)(113, 164)(114, 148)(115, 161)(116, 159)(117, 158)(118, 156)(119, 157)(120, 154)(121, 178)(122, 180)(123, 177)(124, 179)(125, 182)(126, 184)(127, 181)(128, 183)(129, 172)(130, 170)(131, 171)(132, 169)(133, 176)(134, 174)(135, 175)(136, 173)(137, 192)(138, 191)(139, 190)(140, 189)(141, 187)(142, 188)(143, 185)(144, 186)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.891
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 48
	degree seq :: [ 16^12 ]

E19.893 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = Q8 x S3 (small group id <48, 40>)
Aut   = QD16 x S3 (small group id <96, 120>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^2 * Y2, Y1^-1 * Y2^2 * Y1^-1, Y1^4, Y2^4, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y1^-1 * Y3 * Y2^-2 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 11, 59, 107, 155)(5, 53, 101, 149, 16, 64, 112, 160)(6, 54, 102, 150, 17, 65, 113, 161)(7, 55, 103, 151, 18, 66, 114, 162)(8, 56, 104, 152, 19, 67, 115, 163)(10, 58, 106, 154, 24, 72, 120, 168)(12, 60, 108, 156, 25, 73, 121, 169)(13, 61, 109, 157, 26, 74, 122, 170)(14, 62, 110, 158, 27, 75, 123, 171)(15, 63, 111, 159, 28, 76, 124, 172)(20, 68, 116, 164, 29, 77, 125, 173)(21, 69, 117, 165, 30, 78, 126, 174)(22, 70, 118, 166, 31, 79, 127, 175)(23, 71, 119, 167, 32, 80, 128, 176)(33, 81, 129, 177, 41, 89, 137, 185)(34, 82, 130, 178, 42, 90, 138, 186)(35, 83, 131, 179, 43, 91, 139, 187)(36, 84, 132, 180, 44, 92, 140, 188)(37, 85, 133, 181, 45, 93, 141, 189)(38, 86, 134, 182, 46, 94, 142, 190)(39, 87, 135, 183, 47, 95, 143, 191)(40, 88, 136, 184, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 58)(4, 60)(5, 49)(6, 56)(7, 53)(8, 51)(9, 68)(10, 54)(11, 71)(12, 66)(13, 72)(14, 52)(15, 67)(16, 70)(17, 69)(18, 62)(19, 61)(20, 64)(21, 59)(22, 57)(23, 65)(24, 63)(25, 81)(26, 84)(27, 83)(28, 82)(29, 85)(30, 88)(31, 87)(32, 86)(33, 75)(34, 74)(35, 73)(36, 76)(37, 79)(38, 78)(39, 77)(40, 80)(41, 93)(42, 96)(43, 95)(44, 94)(45, 91)(46, 90)(47, 89)(48, 92)(97, 147)(98, 152)(99, 151)(100, 157)(101, 154)(102, 145)(103, 150)(104, 149)(105, 165)(106, 146)(107, 164)(108, 163)(109, 162)(110, 168)(111, 148)(112, 167)(113, 166)(114, 159)(115, 158)(116, 161)(117, 160)(118, 155)(119, 153)(120, 156)(121, 178)(122, 177)(123, 180)(124, 179)(125, 182)(126, 181)(127, 184)(128, 183)(129, 172)(130, 171)(131, 170)(132, 169)(133, 176)(134, 175)(135, 174)(136, 173)(137, 190)(138, 189)(139, 192)(140, 191)(141, 188)(142, 187)(143, 186)(144, 185)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.890
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.894 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, Y3^4, Y1^4, R * Y1 * R * Y2, Y3^4, (R * Y3)^2, Y2^4, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y2^-1 * Y3 * Y1^-2 * Y3 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 10, 58, 5, 53)(2, 50, 7, 55, 19, 67, 8, 56)(4, 52, 12, 60, 25, 73, 13, 61)(6, 54, 16, 64, 28, 76, 17, 65)(9, 57, 23, 71, 15, 63, 24, 72)(11, 59, 26, 74, 14, 62, 27, 75)(18, 66, 29, 77, 22, 70, 30, 78)(20, 68, 31, 79, 21, 69, 32, 80)(33, 81, 41, 89, 36, 84, 42, 90)(34, 82, 43, 91, 35, 83, 44, 92)(37, 85, 45, 93, 40, 88, 46, 94)(38, 86, 47, 95, 39, 87, 48, 96)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 112, 111)(103, 114, 109, 116)(104, 117, 108, 118)(106, 121, 124, 115)(119, 129, 123, 130)(120, 131, 122, 132)(125, 133, 128, 134)(126, 135, 127, 136)(137, 141, 140, 144)(138, 143, 139, 142)(145, 146, 150, 148)(147, 153, 161, 155)(149, 158, 160, 159)(151, 162, 157, 164)(152, 165, 156, 166)(154, 169, 172, 163)(167, 177, 171, 178)(168, 179, 170, 180)(173, 181, 176, 182)(174, 183, 175, 184)(185, 189, 188, 192)(186, 191, 187, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.897
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.895 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2^-1, Y1^4, R * Y2 * R * Y1, Y2^4, Y1^4, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51)(2, 50, 6, 54)(4, 52, 9, 57)(5, 53, 10, 58)(7, 55, 14, 62)(8, 56, 15, 63)(11, 59, 21, 69)(12, 60, 22, 70)(13, 61, 23, 71)(16, 64, 29, 77)(17, 65, 30, 78)(18, 66, 32, 80)(19, 67, 33, 81)(20, 68, 34, 82)(24, 72, 40, 88)(25, 73, 41, 89)(26, 74, 42, 90)(27, 75, 43, 91)(28, 76, 39, 87)(31, 79, 44, 92)(35, 83, 45, 93)(36, 84, 46, 94)(37, 85, 47, 95)(38, 86, 48, 96)(97, 98, 101, 100)(99, 103, 109, 104)(102, 107, 116, 108)(105, 112, 124, 113)(106, 114, 127, 115)(110, 120, 129, 121)(111, 122, 128, 123)(117, 131, 126, 132)(118, 133, 125, 134)(119, 135, 140, 130)(136, 141, 139, 144)(137, 143, 138, 142)(145, 146, 149, 148)(147, 151, 157, 152)(150, 155, 164, 156)(153, 160, 172, 161)(154, 162, 175, 163)(158, 168, 177, 169)(159, 170, 176, 171)(165, 179, 174, 180)(166, 181, 173, 182)(167, 183, 188, 178)(184, 189, 187, 192)(185, 191, 186, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.896
Graph:: simple bipartite
	v = 48 e = 96 f = 12
	degree seq :: [ 4^48 ]

E19.896 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, Y3^4, Y1^4, R * Y1 * R * Y2, Y3^4, (R * Y3)^2, Y2^4, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y2^-1 * Y3 * Y1^-2 * Y3 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 3, 51, 99, 147, 10, 58, 106, 154, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 19, 67, 115, 163, 8, 56, 104, 152)(4, 52, 100, 148, 12, 60, 108, 156, 25, 73, 121, 169, 13, 61, 109, 157)(6, 54, 102, 150, 16, 64, 112, 160, 28, 76, 124, 172, 17, 65, 113, 161)(9, 57, 105, 153, 23, 71, 119, 167, 15, 63, 111, 159, 24, 72, 120, 168)(11, 59, 107, 155, 26, 74, 122, 170, 14, 62, 110, 158, 27, 75, 123, 171)(18, 66, 114, 162, 29, 77, 125, 173, 22, 70, 118, 166, 30, 78, 126, 174)(20, 68, 116, 164, 31, 79, 127, 175, 21, 69, 117, 165, 32, 80, 128, 176)(33, 81, 129, 177, 41, 89, 137, 185, 36, 84, 132, 180, 42, 90, 138, 186)(34, 82, 130, 178, 43, 91, 139, 187, 35, 83, 131, 179, 44, 92, 140, 188)(37, 85, 133, 181, 45, 93, 141, 189, 40, 88, 136, 184, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191, 39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 52)(7, 66)(8, 69)(9, 65)(10, 73)(11, 51)(12, 70)(13, 68)(14, 64)(15, 53)(16, 63)(17, 59)(18, 61)(19, 58)(20, 55)(21, 60)(22, 56)(23, 81)(24, 83)(25, 76)(26, 84)(27, 82)(28, 67)(29, 85)(30, 87)(31, 88)(32, 86)(33, 75)(34, 71)(35, 74)(36, 72)(37, 80)(38, 77)(39, 79)(40, 78)(41, 93)(42, 95)(43, 94)(44, 96)(45, 92)(46, 90)(47, 91)(48, 89)(97, 146)(98, 150)(99, 153)(100, 145)(101, 158)(102, 148)(103, 162)(104, 165)(105, 161)(106, 169)(107, 147)(108, 166)(109, 164)(110, 160)(111, 149)(112, 159)(113, 155)(114, 157)(115, 154)(116, 151)(117, 156)(118, 152)(119, 177)(120, 179)(121, 172)(122, 180)(123, 178)(124, 163)(125, 181)(126, 183)(127, 184)(128, 182)(129, 171)(130, 167)(131, 170)(132, 168)(133, 176)(134, 173)(135, 175)(136, 174)(137, 189)(138, 191)(139, 190)(140, 192)(141, 188)(142, 186)(143, 187)(144, 185)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.895
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 48
	degree seq :: [ 16^12 ]

E19.897 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2^-1, Y1^4, R * Y2 * R * Y1, Y2^4, Y1^4, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 3, 51, 99, 147)(2, 50, 98, 146, 6, 54, 102, 150)(4, 52, 100, 148, 9, 57, 105, 153)(5, 53, 101, 149, 10, 58, 106, 154)(7, 55, 103, 151, 14, 62, 110, 158)(8, 56, 104, 152, 15, 63, 111, 159)(11, 59, 107, 155, 21, 69, 117, 165)(12, 60, 108, 156, 22, 70, 118, 166)(13, 61, 109, 157, 23, 71, 119, 167)(16, 64, 112, 160, 29, 77, 125, 173)(17, 65, 113, 161, 30, 78, 126, 174)(18, 66, 114, 162, 32, 80, 128, 176)(19, 67, 115, 163, 33, 81, 129, 177)(20, 68, 116, 164, 34, 82, 130, 178)(24, 72, 120, 168, 40, 88, 136, 184)(25, 73, 121, 169, 41, 89, 137, 185)(26, 74, 122, 170, 42, 90, 138, 186)(27, 75, 123, 171, 43, 91, 139, 187)(28, 76, 124, 172, 39, 87, 135, 183)(31, 79, 127, 175, 44, 92, 140, 188)(35, 83, 131, 179, 45, 93, 141, 189)(36, 84, 132, 180, 46, 94, 142, 190)(37, 85, 133, 181, 47, 95, 143, 191)(38, 86, 134, 182, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 55)(4, 49)(5, 52)(6, 59)(7, 61)(8, 51)(9, 64)(10, 66)(11, 68)(12, 54)(13, 56)(14, 72)(15, 74)(16, 76)(17, 57)(18, 79)(19, 58)(20, 60)(21, 83)(22, 85)(23, 87)(24, 81)(25, 62)(26, 80)(27, 63)(28, 65)(29, 86)(30, 84)(31, 67)(32, 75)(33, 73)(34, 71)(35, 78)(36, 69)(37, 77)(38, 70)(39, 92)(40, 93)(41, 95)(42, 94)(43, 96)(44, 82)(45, 91)(46, 89)(47, 90)(48, 88)(97, 146)(98, 149)(99, 151)(100, 145)(101, 148)(102, 155)(103, 157)(104, 147)(105, 160)(106, 162)(107, 164)(108, 150)(109, 152)(110, 168)(111, 170)(112, 172)(113, 153)(114, 175)(115, 154)(116, 156)(117, 179)(118, 181)(119, 183)(120, 177)(121, 158)(122, 176)(123, 159)(124, 161)(125, 182)(126, 180)(127, 163)(128, 171)(129, 169)(130, 167)(131, 174)(132, 165)(133, 173)(134, 166)(135, 188)(136, 189)(137, 191)(138, 190)(139, 192)(140, 178)(141, 187)(142, 185)(143, 186)(144, 184)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.894
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.898 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2 * Y1 * Y3 * Y1)^2, (Y3 * Y1)^4, (Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 11, 59)(6, 54, 12, 60)(7, 55, 13, 61)(8, 56, 14, 62)(15, 63, 33, 81)(16, 64, 29, 77)(17, 65, 34, 82)(18, 66, 31, 79)(19, 67, 28, 76)(20, 68, 25, 73)(21, 69, 35, 83)(22, 70, 27, 75)(23, 71, 36, 84)(24, 72, 37, 85)(26, 74, 38, 86)(30, 78, 39, 87)(32, 80, 40, 88)(41, 89, 45, 93)(42, 90, 48, 96)(43, 91, 47, 95)(44, 92, 46, 94)(97, 145, 99, 147, 100, 148, 101, 149)(98, 146, 102, 150, 103, 151, 104, 152)(105, 153, 111, 159, 112, 160, 113, 161)(106, 154, 114, 162, 115, 163, 116, 164)(107, 155, 117, 165, 118, 166, 119, 167)(108, 156, 120, 168, 121, 169, 122, 170)(109, 157, 123, 171, 124, 172, 125, 173)(110, 158, 126, 174, 127, 175, 128, 176)(129, 177, 137, 185, 132, 180, 138, 186)(130, 178, 139, 187, 131, 179, 140, 188)(133, 181, 141, 189, 136, 184, 142, 190)(134, 182, 143, 191, 135, 183, 144, 192)
	L = (1, 100)(2, 103)(3, 101)(4, 97)(5, 99)(6, 104)(7, 98)(8, 102)(9, 112)(10, 115)(11, 118)(12, 121)(13, 124)(14, 127)(15, 113)(16, 105)(17, 111)(18, 116)(19, 106)(20, 114)(21, 119)(22, 107)(23, 117)(24, 122)(25, 108)(26, 120)(27, 125)(28, 109)(29, 123)(30, 128)(31, 110)(32, 126)(33, 132)(34, 131)(35, 130)(36, 129)(37, 136)(38, 135)(39, 134)(40, 133)(41, 138)(42, 137)(43, 140)(44, 139)(45, 142)(46, 141)(47, 144)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.901
Graph:: bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.899 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y2^4, (Y2^-1 * R)^2, (R * Y3)^2, (Y2 * Y1)^3, (Y3 * Y1)^4, Y3 * Y2^2 * Y1 * Y2 * Y3 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 14, 62)(6, 54, 15, 63)(7, 55, 18, 66)(8, 56, 20, 68)(10, 58, 23, 71)(11, 59, 25, 73)(13, 61, 29, 77)(16, 64, 34, 82)(17, 65, 36, 84)(19, 67, 40, 88)(21, 69, 39, 87)(22, 70, 43, 91)(24, 72, 35, 83)(26, 74, 42, 90)(27, 75, 38, 86)(28, 76, 32, 80)(30, 78, 45, 93)(31, 79, 37, 85)(33, 81, 46, 94)(41, 89, 48, 96)(44, 92, 47, 95)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 112, 160, 104, 152)(100, 148, 107, 155, 120, 168, 109, 157)(103, 151, 113, 161, 131, 179, 115, 163)(105, 153, 116, 164, 137, 185, 118, 166)(108, 156, 122, 170, 140, 188, 124, 172)(110, 158, 126, 174, 129, 177, 111, 159)(114, 162, 133, 181, 143, 191, 135, 183)(117, 165, 138, 186, 125, 173, 132, 180)(119, 167, 139, 187, 123, 171, 141, 189)(121, 169, 128, 176, 127, 175, 136, 184)(130, 178, 142, 190, 134, 182, 144, 192)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 109)(6, 113)(7, 98)(8, 115)(9, 117)(10, 120)(11, 99)(12, 123)(13, 101)(14, 127)(15, 128)(16, 131)(17, 102)(18, 134)(19, 104)(20, 138)(21, 105)(22, 132)(23, 140)(24, 106)(25, 129)(26, 141)(27, 108)(28, 139)(29, 137)(30, 136)(31, 110)(32, 111)(33, 121)(34, 143)(35, 112)(36, 118)(37, 144)(38, 114)(39, 142)(40, 126)(41, 125)(42, 116)(43, 124)(44, 119)(45, 122)(46, 135)(47, 130)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.902
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.900 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1 * R)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, Y1 * Y2^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, Y2^-2 * Y3 * Y1 * Y3 * Y2^-2 * Y1, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 14, 62)(6, 54, 15, 63)(7, 55, 18, 66)(8, 56, 20, 68)(10, 58, 24, 72)(11, 59, 26, 74)(13, 61, 30, 78)(16, 64, 34, 82)(17, 65, 21, 69)(19, 67, 33, 81)(22, 70, 38, 86)(23, 71, 27, 75)(25, 73, 35, 83)(28, 76, 37, 85)(29, 77, 31, 79)(32, 80, 36, 84)(39, 87, 48, 96)(40, 88, 41, 89)(42, 90, 47, 95)(43, 91, 44, 92)(45, 93, 46, 94)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 112, 160, 104, 152)(100, 148, 107, 155, 121, 169, 109, 157)(103, 151, 113, 161, 131, 179, 115, 163)(105, 153, 117, 165, 135, 183, 119, 167)(108, 156, 123, 171, 138, 186, 125, 173)(110, 158, 127, 175, 141, 189, 129, 177)(111, 159, 122, 170, 140, 188, 128, 176)(114, 162, 132, 180, 143, 191, 134, 182)(116, 164, 118, 166, 136, 184, 126, 174)(120, 168, 137, 185, 124, 172, 139, 187)(130, 178, 142, 190, 133, 181, 144, 192)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 109)(6, 113)(7, 98)(8, 115)(9, 118)(10, 121)(11, 99)(12, 124)(13, 101)(14, 128)(15, 127)(16, 131)(17, 102)(18, 133)(19, 104)(20, 119)(21, 136)(22, 105)(23, 116)(24, 138)(25, 106)(26, 141)(27, 139)(28, 108)(29, 137)(30, 135)(31, 111)(32, 110)(33, 140)(34, 143)(35, 112)(36, 144)(37, 114)(38, 142)(39, 126)(40, 117)(41, 125)(42, 120)(43, 123)(44, 129)(45, 122)(46, 134)(47, 130)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.903
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.901 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y3 * Y2^-1, (Y1^-1 * Y3)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 20, 68, 12, 60)(4, 52, 13, 61, 19, 67, 9, 57)(6, 54, 16, 64, 18, 66, 17, 65)(8, 56, 21, 69, 15, 63, 22, 70)(10, 58, 23, 71, 14, 62, 24, 72)(25, 73, 33, 81, 28, 76, 34, 82)(26, 74, 35, 83, 27, 75, 36, 84)(29, 77, 37, 85, 32, 80, 38, 86)(30, 78, 39, 87, 31, 79, 40, 88)(41, 89, 45, 93, 44, 92, 48, 96)(42, 90, 47, 95, 43, 91, 46, 94)(97, 145, 99, 147, 100, 148, 102, 150)(98, 146, 104, 152, 105, 153, 106, 154)(101, 149, 110, 158, 109, 157, 111, 159)(103, 151, 114, 162, 115, 163, 116, 164)(107, 155, 121, 169, 113, 161, 122, 170)(108, 156, 123, 171, 112, 160, 124, 172)(117, 165, 125, 173, 120, 168, 126, 174)(118, 166, 127, 175, 119, 167, 128, 176)(129, 177, 137, 185, 132, 180, 138, 186)(130, 178, 139, 187, 131, 179, 140, 188)(133, 181, 141, 189, 136, 184, 142, 190)(134, 182, 143, 191, 135, 183, 144, 192)
	L = (1, 100)(2, 105)(3, 102)(4, 97)(5, 109)(6, 99)(7, 115)(8, 106)(9, 98)(10, 104)(11, 113)(12, 112)(13, 101)(14, 111)(15, 110)(16, 108)(17, 107)(18, 116)(19, 103)(20, 114)(21, 120)(22, 119)(23, 118)(24, 117)(25, 122)(26, 121)(27, 124)(28, 123)(29, 126)(30, 125)(31, 128)(32, 127)(33, 132)(34, 131)(35, 130)(36, 129)(37, 136)(38, 135)(39, 134)(40, 133)(41, 138)(42, 137)(43, 140)(44, 139)(45, 142)(46, 141)(47, 144)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.898
Graph:: bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.902 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (Y2^-1 * R)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, Y1^4, Y2^4, (Y2 * Y1^-2)^2, (Y2 * Y1^-1)^3, (Y2^-2 * Y1^-1)^2, (Y2^-1 * Y1^-1)^3, Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 23, 71, 14, 62)(4, 52, 15, 63, 22, 70, 9, 57)(6, 54, 19, 67, 21, 69, 20, 68)(8, 56, 24, 72, 18, 66, 27, 75)(10, 58, 29, 77, 17, 65, 30, 78)(12, 60, 32, 80, 39, 87, 25, 73)(13, 61, 34, 82, 41, 89, 31, 79)(16, 64, 37, 85, 40, 88, 38, 86)(26, 74, 44, 92, 36, 84, 42, 90)(28, 76, 45, 93, 35, 83, 46, 94)(33, 81, 43, 91, 48, 96, 47, 95)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 121, 169, 106, 154)(100, 148, 109, 157, 129, 177, 112, 160)(101, 149, 113, 161, 128, 176, 114, 162)(103, 151, 117, 165, 135, 183, 119, 167)(105, 153, 122, 170, 139, 187, 124, 172)(107, 155, 120, 168, 116, 164, 126, 174)(110, 158, 125, 173, 115, 163, 123, 171)(111, 159, 131, 179, 143, 191, 132, 180)(118, 166, 136, 184, 144, 192, 137, 185)(127, 175, 138, 186, 133, 181, 141, 189)(130, 178, 142, 190, 134, 182, 140, 188)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 111)(6, 112)(7, 118)(8, 122)(9, 98)(10, 124)(11, 127)(12, 129)(13, 99)(14, 130)(15, 101)(16, 102)(17, 131)(18, 132)(19, 134)(20, 133)(21, 136)(22, 103)(23, 137)(24, 138)(25, 139)(26, 104)(27, 140)(28, 106)(29, 142)(30, 141)(31, 107)(32, 143)(33, 108)(34, 110)(35, 113)(36, 114)(37, 116)(38, 115)(39, 144)(40, 117)(41, 119)(42, 120)(43, 121)(44, 123)(45, 126)(46, 125)(47, 128)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.899
Graph:: simple bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.903 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, (Y2^-1 * R)^2, Y2 * Y3 * Y2^-1 * Y3, (R * Y3)^2, (Y1 * Y3)^2, Y2^4, Y1^4, (R * Y1)^2, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1^-1, (Y2^-2 * Y1^-1)^2, (Y2^-1 * Y1^-2)^2, Y1 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 23, 71, 14, 62)(4, 52, 15, 63, 22, 70, 9, 57)(6, 54, 19, 67, 21, 69, 20, 68)(8, 56, 24, 72, 18, 66, 27, 75)(10, 58, 29, 77, 17, 65, 30, 78)(12, 60, 34, 82, 43, 91, 25, 73)(13, 61, 36, 84, 45, 93, 32, 80)(16, 64, 41, 89, 44, 92, 42, 90)(26, 74, 37, 85, 40, 88, 33, 81)(28, 76, 31, 79, 39, 87, 38, 86)(35, 83, 46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 121, 169, 106, 154)(100, 148, 109, 157, 131, 179, 112, 160)(101, 149, 113, 161, 130, 178, 114, 162)(103, 151, 117, 165, 139, 187, 119, 167)(105, 153, 122, 170, 142, 190, 124, 172)(107, 155, 127, 175, 116, 164, 129, 177)(110, 158, 133, 181, 115, 163, 134, 182)(111, 159, 135, 183, 143, 191, 136, 184)(118, 166, 140, 188, 144, 192, 141, 189)(120, 168, 128, 176, 126, 174, 137, 185)(123, 171, 138, 186, 125, 173, 132, 180)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 111)(6, 112)(7, 118)(8, 122)(9, 98)(10, 124)(11, 128)(12, 131)(13, 99)(14, 132)(15, 101)(16, 102)(17, 135)(18, 136)(19, 138)(20, 137)(21, 140)(22, 103)(23, 141)(24, 129)(25, 142)(26, 104)(27, 133)(28, 106)(29, 134)(30, 127)(31, 126)(32, 107)(33, 120)(34, 143)(35, 108)(36, 110)(37, 123)(38, 125)(39, 113)(40, 114)(41, 116)(42, 115)(43, 144)(44, 117)(45, 119)(46, 121)(47, 130)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.900
Graph:: simple bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.904 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y3 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 19, 67)(12, 60, 20, 68)(13, 61, 21, 69)(14, 62, 22, 70)(15, 63, 23, 71)(16, 64, 24, 72)(17, 65, 25, 73)(18, 66, 26, 74)(27, 75, 37, 85)(28, 76, 38, 86)(29, 77, 39, 87)(30, 78, 40, 88)(31, 79, 41, 89)(32, 80, 42, 90)(33, 81, 43, 91)(34, 82, 44, 92)(35, 83, 45, 93)(36, 84, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 109, 157, 110, 158)(102, 150, 113, 161, 114, 162)(104, 152, 117, 165, 118, 166)(106, 154, 121, 169, 122, 170)(107, 155, 123, 171, 124, 172)(108, 156, 125, 173, 126, 174)(111, 159, 127, 175, 130, 178)(112, 160, 129, 177, 131, 179)(115, 163, 133, 181, 134, 182)(116, 164, 135, 183, 136, 184)(119, 167, 137, 185, 140, 188)(120, 168, 139, 187, 141, 189)(128, 176, 132, 180, 143, 191)(138, 186, 142, 190, 144, 192)
	L = (1, 100)(2, 104)(3, 107)(4, 102)(5, 111)(6, 97)(7, 115)(8, 106)(9, 119)(10, 98)(11, 108)(12, 99)(13, 123)(14, 128)(15, 112)(16, 101)(17, 124)(18, 126)(19, 116)(20, 103)(21, 133)(22, 138)(23, 120)(24, 105)(25, 134)(26, 136)(27, 127)(28, 132)(29, 130)(30, 131)(31, 109)(32, 129)(33, 110)(34, 143)(35, 114)(36, 113)(37, 137)(38, 142)(39, 140)(40, 141)(41, 117)(42, 139)(43, 118)(44, 144)(45, 122)(46, 121)(47, 125)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.916
Graph:: simple bipartite
	v = 40 e = 96 f = 20
	degree seq :: [ 4^24, 6^16 ]

E19.905 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y1 * Y3 * Y1 * Y3^-1, (R * Y3)^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^6, Y2^-1 * Y3^-2 * Y2^-1 * Y1 * Y3^-2, Y2 * Y1 * Y3^2 * Y2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 21, 69)(12, 60, 15, 63)(13, 61, 22, 70)(14, 62, 23, 71)(16, 64, 18, 66)(17, 65, 24, 72)(19, 67, 25, 73)(20, 68, 26, 74)(27, 75, 37, 85)(28, 76, 43, 91)(29, 77, 35, 83)(30, 78, 41, 89)(31, 79, 34, 82)(32, 80, 38, 86)(33, 81, 44, 92)(36, 84, 39, 87)(40, 88, 42, 90)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 109, 157, 111, 159)(102, 150, 114, 162, 115, 163)(104, 152, 118, 166, 108, 156)(106, 154, 112, 160, 121, 169)(107, 155, 123, 171, 120, 168)(110, 158, 128, 176, 130, 178)(113, 161, 117, 165, 133, 181)(116, 164, 138, 186, 139, 187)(119, 167, 134, 182, 127, 175)(122, 170, 136, 184, 124, 172)(125, 173, 126, 174, 135, 183)(129, 177, 141, 189, 143, 191)(131, 179, 137, 185, 132, 180)(140, 188, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 107)(4, 110)(5, 112)(6, 97)(7, 117)(8, 119)(9, 114)(10, 98)(11, 124)(12, 99)(13, 126)(14, 129)(15, 103)(16, 132)(17, 101)(18, 135)(19, 136)(20, 102)(21, 139)(22, 137)(23, 140)(24, 105)(25, 138)(26, 106)(27, 127)(28, 141)(29, 108)(30, 121)(31, 109)(32, 120)(33, 116)(34, 118)(35, 111)(36, 143)(37, 130)(38, 113)(39, 142)(40, 133)(41, 115)(42, 123)(43, 144)(44, 122)(45, 125)(46, 128)(47, 134)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.918
Graph:: simple bipartite
	v = 40 e = 96 f = 20
	degree seq :: [ 4^24, 6^16 ]

E19.906 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y1 * Y2^-1 * Y1 * Y2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, Y1 * Y3^-2 * Y2^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^6, Y2 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3, Y2 * Y3^-1 * Y2^-1 * Y3^2 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 21, 69)(12, 60, 22, 70)(13, 61, 23, 71)(14, 62, 24, 72)(15, 63, 25, 73)(16, 64, 26, 74)(17, 65, 27, 75)(18, 66, 28, 76)(19, 67, 29, 77)(20, 68, 30, 78)(31, 79, 44, 92)(32, 80, 40, 88)(33, 81, 45, 93)(34, 82, 41, 89)(35, 83, 42, 90)(36, 84, 46, 94)(37, 85, 39, 87)(38, 86, 47, 95)(43, 91, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 109, 157, 111, 159)(102, 150, 114, 162, 115, 163)(104, 152, 119, 167, 121, 169)(106, 154, 124, 172, 125, 173)(107, 155, 127, 175, 128, 176)(108, 156, 126, 174, 129, 177)(110, 158, 122, 170, 133, 181)(112, 160, 135, 183, 120, 168)(113, 161, 137, 185, 138, 186)(116, 164, 141, 189, 118, 166)(117, 165, 140, 188, 136, 184)(123, 171, 130, 178, 131, 179)(132, 180, 143, 191, 144, 192)(134, 182, 139, 187, 142, 190)
	L = (1, 100)(2, 104)(3, 107)(4, 110)(5, 112)(6, 97)(7, 117)(8, 120)(9, 122)(10, 98)(11, 121)(12, 99)(13, 131)(14, 132)(15, 134)(16, 136)(17, 101)(18, 123)(19, 119)(20, 102)(21, 111)(22, 103)(23, 138)(24, 142)(25, 143)(26, 128)(27, 105)(28, 113)(29, 109)(30, 106)(31, 125)(32, 139)(33, 140)(34, 108)(35, 135)(36, 116)(37, 129)(38, 137)(39, 141)(40, 144)(41, 118)(42, 133)(43, 114)(44, 115)(45, 127)(46, 126)(47, 130)(48, 124)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.919
Graph:: simple bipartite
	v = 40 e = 96 f = 20
	degree seq :: [ 4^24, 6^16 ]

E19.907 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y3^-1 * Y2 * Y3^2 * Y2, R * Y2 * Y3 * R * Y2^-1, Y3^2 * Y2 * Y3^-1 * Y2, Y3^6, (Y2^-1 * Y3^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 21, 69)(12, 60, 22, 70)(13, 61, 23, 71)(14, 62, 24, 72)(15, 63, 25, 73)(16, 64, 26, 74)(17, 65, 27, 75)(18, 66, 28, 76)(19, 67, 29, 77)(20, 68, 30, 78)(31, 79, 40, 88)(32, 80, 41, 89)(33, 81, 42, 90)(34, 82, 43, 91)(35, 83, 44, 92)(36, 84, 45, 93)(37, 85, 46, 94)(38, 86, 47, 95)(39, 87, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 109, 157, 111, 159)(102, 150, 114, 162, 115, 163)(104, 152, 119, 167, 121, 169)(106, 154, 124, 172, 125, 173)(107, 155, 127, 175, 128, 176)(108, 156, 116, 164, 129, 177)(110, 158, 112, 160, 133, 181)(113, 161, 130, 178, 131, 179)(117, 165, 136, 184, 137, 185)(118, 166, 126, 174, 138, 186)(120, 168, 122, 170, 142, 190)(123, 171, 139, 187, 140, 188)(132, 180, 134, 182, 135, 183)(141, 189, 143, 191, 144, 192)
	L = (1, 100)(2, 104)(3, 107)(4, 110)(5, 112)(6, 97)(7, 117)(8, 120)(9, 122)(10, 98)(11, 111)(12, 99)(13, 131)(14, 132)(15, 134)(16, 128)(17, 101)(18, 113)(19, 109)(20, 102)(21, 121)(22, 103)(23, 140)(24, 141)(25, 143)(26, 137)(27, 105)(28, 123)(29, 119)(30, 106)(31, 115)(32, 135)(33, 127)(34, 108)(35, 133)(36, 116)(37, 129)(38, 130)(39, 114)(40, 125)(41, 144)(42, 136)(43, 118)(44, 142)(45, 126)(46, 138)(47, 139)(48, 124)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.917
Graph:: simple bipartite
	v = 40 e = 96 f = 20
	degree seq :: [ 4^24, 6^16 ]

E19.908 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (R * Y3^-1)^2, (R * Y1)^2, Y2^4, (Y3^-1 * Y1^-1)^2, (Y2 * Y1^-1)^3, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, R * Y2 * R * Y3 * Y2 * Y3^-1, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3, Y2^2 * Y3^-1 * Y2^-2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 14, 62)(4, 52, 9, 57, 7, 55)(6, 54, 20, 68, 22, 70)(8, 56, 26, 74, 29, 77)(10, 58, 33, 81, 35, 83)(12, 60, 27, 75, 40, 88)(13, 61, 31, 79, 15, 63)(16, 64, 44, 92, 42, 90)(17, 65, 46, 94, 43, 91)(18, 66, 45, 93, 37, 85)(19, 67, 47, 95, 38, 86)(21, 69, 32, 80, 23, 71)(24, 72, 30, 78, 28, 76)(25, 73, 36, 84, 34, 82)(39, 87, 48, 96, 41, 89)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 123, 171, 106, 154)(100, 148, 112, 160, 135, 183, 113, 161)(101, 149, 114, 162, 136, 184, 115, 163)(103, 151, 120, 168, 137, 185, 121, 169)(105, 153, 127, 175, 144, 192, 128, 176)(107, 155, 133, 181, 116, 164, 134, 182)(109, 157, 132, 180, 117, 165, 126, 174)(110, 158, 129, 177, 118, 166, 122, 170)(111, 159, 138, 186, 119, 167, 139, 187)(124, 172, 142, 190, 130, 178, 140, 188)(125, 173, 143, 191, 131, 179, 141, 189)
	L = (1, 100)(2, 105)(3, 109)(4, 98)(5, 103)(6, 117)(7, 97)(8, 124)(9, 101)(10, 130)(11, 127)(12, 135)(13, 107)(14, 111)(15, 99)(16, 133)(17, 134)(18, 138)(19, 139)(20, 128)(21, 116)(22, 119)(23, 102)(24, 125)(25, 131)(26, 120)(27, 144)(28, 122)(29, 126)(30, 104)(31, 110)(32, 118)(33, 121)(34, 129)(35, 132)(36, 106)(37, 140)(38, 142)(39, 123)(40, 137)(41, 108)(42, 141)(43, 143)(44, 114)(45, 112)(46, 115)(47, 113)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.914
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 6^16, 8^12 ]

E19.909 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^4, (R * Y1)^2, Y1 * Y2^-2 * Y1^-1 * Y2^-2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3, Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3, Y1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, R * Y2 * R * Y2 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 14, 62)(4, 52, 9, 57, 7, 55)(6, 54, 20, 68, 22, 70)(8, 56, 26, 74, 29, 77)(10, 58, 33, 81, 35, 83)(12, 60, 27, 75, 40, 88)(13, 61, 31, 79, 15, 63)(16, 64, 44, 92, 43, 91)(17, 65, 46, 94, 42, 90)(18, 66, 45, 93, 38, 86)(19, 67, 47, 95, 37, 85)(21, 69, 32, 80, 23, 71)(24, 72, 30, 78, 28, 76)(25, 73, 36, 84, 34, 82)(39, 87, 48, 96, 41, 89)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 123, 171, 106, 154)(100, 148, 112, 160, 135, 183, 113, 161)(101, 149, 114, 162, 136, 184, 115, 163)(103, 151, 120, 168, 137, 185, 121, 169)(105, 153, 127, 175, 144, 192, 128, 176)(107, 155, 133, 181, 116, 164, 134, 182)(109, 157, 126, 174, 117, 165, 132, 180)(110, 158, 122, 170, 118, 166, 129, 177)(111, 159, 138, 186, 119, 167, 139, 187)(124, 172, 140, 188, 130, 178, 142, 190)(125, 173, 141, 189, 131, 179, 143, 191)
	L = (1, 100)(2, 105)(3, 109)(4, 98)(5, 103)(6, 117)(7, 97)(8, 124)(9, 101)(10, 130)(11, 127)(12, 135)(13, 107)(14, 111)(15, 99)(16, 134)(17, 133)(18, 139)(19, 138)(20, 128)(21, 116)(22, 119)(23, 102)(24, 125)(25, 131)(26, 120)(27, 144)(28, 122)(29, 126)(30, 104)(31, 110)(32, 118)(33, 121)(34, 129)(35, 132)(36, 106)(37, 142)(38, 140)(39, 123)(40, 137)(41, 108)(42, 143)(43, 141)(44, 114)(45, 112)(46, 115)(47, 113)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.912
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 6^16, 8^12 ]

E19.910 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (R * Y1)^2, (R * Y3)^2, Y2^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y3^-1 * Y2^2 * Y3, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y3, Y3 * Y1 * Y2 * Y1 * Y3 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3, Y1 * Y2^-2 * Y1^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 14, 62)(4, 52, 9, 57, 7, 55)(6, 54, 20, 68, 22, 70)(8, 56, 26, 74, 29, 77)(10, 58, 33, 81, 35, 83)(12, 60, 27, 75, 40, 88)(13, 61, 31, 79, 15, 63)(16, 64, 44, 92, 37, 85)(17, 65, 46, 94, 38, 86)(18, 66, 45, 93, 42, 90)(19, 67, 47, 95, 43, 91)(21, 69, 32, 80, 23, 71)(24, 72, 30, 78, 28, 76)(25, 73, 36, 84, 34, 82)(39, 87, 48, 96, 41, 89)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 123, 171, 106, 154)(100, 148, 112, 160, 135, 183, 113, 161)(101, 149, 114, 162, 136, 184, 115, 163)(103, 151, 120, 168, 137, 185, 121, 169)(105, 153, 127, 175, 144, 192, 128, 176)(107, 155, 133, 181, 116, 164, 134, 182)(109, 157, 129, 177, 117, 165, 122, 170)(110, 158, 132, 180, 118, 166, 126, 174)(111, 159, 138, 186, 119, 167, 139, 187)(124, 172, 143, 191, 130, 178, 141, 189)(125, 173, 142, 190, 131, 179, 140, 188)
	L = (1, 100)(2, 105)(3, 109)(4, 98)(5, 103)(6, 117)(7, 97)(8, 124)(9, 101)(10, 130)(11, 127)(12, 135)(13, 107)(14, 111)(15, 99)(16, 138)(17, 139)(18, 133)(19, 134)(20, 128)(21, 116)(22, 119)(23, 102)(24, 125)(25, 131)(26, 120)(27, 144)(28, 122)(29, 126)(30, 104)(31, 110)(32, 118)(33, 121)(34, 129)(35, 132)(36, 106)(37, 141)(38, 143)(39, 123)(40, 137)(41, 108)(42, 140)(43, 142)(44, 114)(45, 112)(46, 115)(47, 113)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.913
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 6^16, 8^12 ]

E19.911 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, Y2 * Y1 * Y3 * Y2, Y2^-1 * Y3 * Y1 * Y2^-1, Y3 * Y1 * Y2^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 13, 61)(4, 52, 9, 57, 7, 55)(6, 54, 14, 62, 12, 60)(8, 56, 17, 65, 19, 67)(10, 58, 20, 68, 18, 66)(15, 63, 25, 73, 27, 75)(16, 64, 28, 76, 26, 74)(21, 69, 33, 81, 31, 79)(22, 70, 34, 82, 32, 80)(23, 71, 35, 83, 37, 85)(24, 72, 38, 86, 36, 84)(29, 77, 41, 89, 40, 88)(30, 78, 42, 90, 39, 87)(43, 91, 47, 95, 46, 94)(44, 92, 48, 96, 45, 93)(97, 145, 99, 147, 105, 153, 102, 150)(98, 146, 104, 152, 103, 151, 106, 154)(100, 148, 111, 159, 101, 149, 112, 160)(107, 155, 117, 165, 110, 158, 118, 166)(108, 156, 119, 167, 109, 157, 120, 168)(113, 161, 125, 173, 116, 164, 126, 174)(114, 162, 127, 175, 115, 163, 128, 176)(121, 169, 134, 182, 124, 172, 131, 179)(122, 170, 135, 183, 123, 171, 136, 184)(129, 177, 139, 187, 130, 178, 140, 188)(132, 180, 141, 189, 133, 181, 142, 190)(137, 185, 143, 191, 138, 186, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 98)(5, 103)(6, 109)(7, 97)(8, 114)(9, 101)(10, 115)(11, 102)(12, 107)(13, 110)(14, 99)(15, 122)(16, 123)(17, 106)(18, 113)(19, 116)(20, 104)(21, 128)(22, 127)(23, 132)(24, 133)(25, 112)(26, 121)(27, 124)(28, 111)(29, 135)(30, 136)(31, 130)(32, 129)(33, 118)(34, 117)(35, 120)(36, 131)(37, 134)(38, 119)(39, 137)(40, 138)(41, 126)(42, 125)(43, 141)(44, 142)(45, 143)(46, 144)(47, 140)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.915
Graph:: bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 6^16, 8^12 ]

E19.912 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-1 * Y2 * Y3 * Y2, Y3^-3 * Y2, Y1^-2 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1^-1)^4, Y3 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 3, 51, 8, 56, 5, 53)(4, 52, 13, 61, 28, 76, 11, 59, 27, 75, 14, 62)(6, 54, 17, 65, 30, 78, 12, 60, 29, 77, 18, 66)(9, 57, 23, 71, 42, 90, 21, 69, 41, 89, 24, 72)(10, 58, 25, 73, 44, 92, 22, 70, 43, 91, 26, 74)(15, 63, 33, 81, 38, 86, 19, 67, 37, 85, 32, 80)(16, 64, 34, 82, 40, 88, 20, 68, 39, 87, 35, 83)(31, 79, 45, 93, 36, 84, 46, 94, 48, 96, 47, 95)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 107, 155)(101, 149, 103, 151)(102, 150, 108, 156)(105, 153, 117, 165)(106, 154, 118, 166)(109, 157, 123, 171)(110, 158, 124, 172)(111, 159, 115, 163)(112, 160, 116, 164)(113, 161, 125, 173)(114, 162, 126, 174)(119, 167, 137, 185)(120, 168, 138, 186)(121, 169, 139, 187)(122, 170, 140, 188)(127, 175, 142, 190)(128, 176, 134, 182)(129, 177, 133, 181)(130, 178, 135, 183)(131, 179, 136, 184)(132, 180, 143, 191)(141, 189, 144, 192)
	L = (1, 100)(2, 105)(3, 107)(4, 108)(5, 111)(6, 97)(7, 115)(8, 117)(9, 118)(10, 98)(11, 102)(12, 99)(13, 127)(14, 128)(15, 116)(16, 101)(17, 130)(18, 129)(19, 112)(20, 103)(21, 106)(22, 104)(23, 141)(24, 110)(25, 113)(26, 109)(27, 142)(28, 134)(29, 135)(30, 133)(31, 140)(32, 138)(33, 143)(34, 139)(35, 137)(36, 114)(37, 132)(38, 120)(39, 121)(40, 119)(41, 144)(42, 124)(43, 125)(44, 123)(45, 131)(46, 122)(47, 126)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.909
Graph:: bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.913 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3 * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y1^-2 * Y3 * Y1, Y1^6, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 17, 65, 5, 53)(3, 51, 8, 56, 22, 70, 46, 94, 31, 79, 12, 60)(4, 52, 14, 62, 35, 83, 41, 89, 18, 66, 15, 63)(6, 54, 19, 67, 9, 57, 26, 74, 45, 93, 20, 68)(10, 58, 27, 75, 23, 71, 40, 88, 39, 87, 16, 64)(11, 59, 28, 76, 42, 90, 48, 96, 32, 80, 29, 77)(13, 61, 33, 81, 24, 72, 47, 95, 38, 86, 34, 82)(25, 73, 37, 85, 36, 84, 44, 92, 43, 91, 30, 78)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 107, 155)(101, 149, 108, 156)(102, 150, 109, 157)(103, 151, 118, 166)(105, 153, 120, 168)(106, 154, 121, 169)(110, 158, 124, 172)(111, 159, 125, 173)(112, 160, 126, 174)(113, 161, 127, 175)(114, 162, 128, 176)(115, 163, 129, 177)(116, 164, 130, 178)(117, 165, 142, 190)(119, 167, 132, 180)(122, 170, 143, 191)(123, 171, 133, 181)(131, 179, 138, 186)(134, 182, 141, 189)(135, 183, 139, 187)(136, 184, 140, 188)(137, 185, 144, 192)
	L = (1, 100)(2, 105)(3, 107)(4, 109)(5, 112)(6, 97)(7, 119)(8, 120)(9, 121)(10, 98)(11, 102)(12, 126)(13, 99)(14, 103)(15, 133)(16, 128)(17, 116)(18, 101)(19, 138)(20, 140)(21, 137)(22, 132)(23, 124)(24, 106)(25, 104)(26, 117)(27, 134)(28, 118)(29, 123)(30, 114)(31, 130)(32, 108)(33, 131)(34, 136)(35, 139)(36, 110)(37, 141)(38, 111)(39, 129)(40, 113)(41, 143)(42, 135)(43, 115)(44, 127)(45, 125)(46, 144)(47, 142)(48, 122)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.910
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.914 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-3 * Y2, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^3, Y1^6, Y3 * Y2 * Y1 * Y3 * Y1^-2, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 17, 65, 5, 53)(3, 51, 8, 56, 22, 70, 40, 88, 32, 80, 12, 60)(4, 52, 14, 62, 35, 83, 41, 89, 33, 81, 15, 63)(6, 54, 19, 67, 25, 73, 42, 90, 36, 84, 20, 68)(9, 57, 27, 75, 47, 95, 34, 82, 13, 61, 28, 76)(10, 58, 29, 77, 43, 91, 38, 86, 48, 96, 30, 78)(11, 59, 24, 72, 46, 94, 39, 87, 18, 66, 31, 79)(16, 64, 26, 74, 45, 93, 23, 71, 44, 92, 37, 85)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 107, 155)(101, 149, 108, 156)(102, 150, 109, 157)(103, 151, 118, 166)(105, 153, 121, 169)(106, 154, 122, 170)(110, 158, 120, 168)(111, 159, 127, 175)(112, 160, 126, 174)(113, 161, 128, 176)(114, 162, 129, 177)(115, 163, 124, 172)(116, 164, 130, 178)(117, 165, 136, 184)(119, 167, 139, 187)(123, 171, 138, 186)(125, 173, 141, 189)(131, 179, 142, 190)(132, 180, 143, 191)(133, 181, 144, 192)(134, 182, 140, 188)(135, 183, 137, 185)
	L = (1, 100)(2, 105)(3, 107)(4, 109)(5, 112)(6, 97)(7, 119)(8, 121)(9, 122)(10, 98)(11, 102)(12, 126)(13, 99)(14, 118)(15, 125)(16, 129)(17, 130)(18, 101)(19, 131)(20, 134)(21, 137)(22, 139)(23, 110)(24, 103)(25, 106)(26, 104)(27, 136)(28, 142)(29, 143)(30, 114)(31, 141)(32, 116)(33, 108)(34, 140)(35, 144)(36, 111)(37, 115)(38, 113)(39, 138)(40, 135)(41, 123)(42, 117)(43, 120)(44, 128)(45, 132)(46, 133)(47, 127)(48, 124)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.908
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.915 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-3 * Y2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y2 * Y3 * Y1, Y1^6, Y1^2 * Y3^-1 * Y2 * Y1^2 * Y3^-1, Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 17, 65, 5, 53)(3, 51, 8, 56, 22, 70, 44, 92, 31, 79, 12, 60)(4, 52, 14, 62, 33, 81, 45, 93, 35, 83, 15, 63)(6, 54, 19, 67, 41, 89, 46, 94, 43, 91, 20, 68)(9, 57, 13, 61, 32, 80, 38, 86, 48, 96, 26, 74)(10, 58, 27, 75, 30, 78, 39, 87, 34, 82, 28, 76)(11, 59, 18, 66, 40, 88, 47, 95, 24, 72, 29, 77)(16, 64, 36, 84, 42, 90, 23, 71, 25, 73, 37, 85)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 107, 155)(101, 149, 108, 156)(102, 150, 109, 157)(103, 151, 118, 166)(105, 153, 116, 164)(106, 154, 121, 169)(110, 158, 114, 162)(111, 159, 125, 173)(112, 160, 126, 174)(113, 161, 127, 175)(115, 163, 128, 176)(117, 165, 140, 188)(119, 167, 124, 172)(120, 168, 131, 179)(122, 170, 139, 187)(123, 171, 133, 181)(129, 177, 136, 184)(130, 178, 138, 186)(132, 180, 135, 183)(134, 182, 137, 185)(141, 189, 143, 191)(142, 190, 144, 192)
	L = (1, 100)(2, 105)(3, 107)(4, 109)(5, 112)(6, 97)(7, 119)(8, 116)(9, 121)(10, 98)(11, 102)(12, 126)(13, 99)(14, 108)(15, 130)(16, 110)(17, 134)(18, 101)(19, 111)(20, 106)(21, 141)(22, 124)(23, 131)(24, 103)(25, 104)(26, 136)(27, 122)(28, 120)(29, 138)(30, 114)(31, 137)(32, 125)(33, 123)(34, 128)(35, 118)(36, 127)(37, 139)(38, 132)(39, 113)(40, 133)(41, 135)(42, 115)(43, 129)(44, 143)(45, 144)(46, 117)(47, 142)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.911
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.916 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3 * Y2^2, Y1^4, (Y2 * R)^2, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y2 * Y1^-2 * Y2^-1, (Y3^-1 * Y1^-1)^3, Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 26, 74, 14, 62)(4, 52, 16, 64, 27, 75, 17, 65)(6, 54, 22, 70, 28, 76, 23, 71)(7, 55, 24, 72, 29, 77, 25, 73)(9, 57, 30, 78, 18, 66, 31, 79)(10, 58, 33, 81, 19, 67, 34, 82)(11, 59, 35, 83, 20, 68, 36, 84)(12, 60, 37, 85, 21, 69, 38, 86)(15, 63, 32, 80, 48, 96, 43, 91)(39, 87, 44, 92, 41, 89, 46, 94)(40, 88, 45, 93, 42, 90, 47, 95)(97, 145, 99, 147, 103, 151, 111, 159, 100, 148, 102, 150)(98, 146, 105, 153, 108, 156, 128, 176, 106, 154, 107, 155)(101, 149, 114, 162, 117, 165, 139, 187, 115, 163, 116, 164)(104, 152, 122, 170, 125, 173, 144, 192, 123, 171, 124, 172)(109, 157, 133, 181, 136, 184, 112, 160, 131, 179, 135, 183)(110, 158, 134, 182, 138, 186, 113, 161, 132, 180, 137, 185)(118, 166, 140, 188, 127, 175, 120, 168, 141, 189, 130, 178)(119, 167, 142, 190, 126, 174, 121, 169, 143, 191, 129, 177)
	L = (1, 100)(2, 106)(3, 102)(4, 103)(5, 115)(6, 111)(7, 97)(8, 123)(9, 107)(10, 108)(11, 128)(12, 98)(13, 131)(14, 132)(15, 99)(16, 133)(17, 134)(18, 116)(19, 117)(20, 139)(21, 101)(22, 141)(23, 143)(24, 140)(25, 142)(26, 124)(27, 125)(28, 144)(29, 104)(30, 119)(31, 118)(32, 105)(33, 121)(34, 120)(35, 136)(36, 138)(37, 135)(38, 137)(39, 112)(40, 109)(41, 113)(42, 110)(43, 114)(44, 130)(45, 127)(46, 129)(47, 126)(48, 122)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E19.904
Graph:: bipartite
	v = 20 e = 96 f = 40
	degree seq :: [ 8^12, 12^8 ]

E19.917 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-2, (Y3, Y2^-1), (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2)^2, Y1^2 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2^2 * Y3 * Y1, Y1^-1 * Y3^3 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 27, 75, 16, 64)(4, 52, 18, 66, 26, 74, 19, 67)(6, 54, 24, 72, 15, 63, 25, 73)(7, 55, 28, 76, 14, 62, 29, 77)(9, 57, 30, 78, 20, 68, 31, 79)(10, 58, 33, 81, 21, 69, 34, 82)(11, 59, 35, 83, 22, 70, 36, 84)(12, 60, 37, 85, 23, 71, 38, 86)(17, 65, 32, 80, 41, 89, 44, 92)(39, 87, 47, 95, 42, 90, 45, 93)(40, 88, 48, 96, 43, 91, 46, 94)(97, 145, 99, 147, 110, 158, 137, 185, 122, 170, 102, 150)(98, 146, 105, 153, 119, 167, 140, 188, 117, 165, 107, 155)(100, 148, 111, 159, 104, 152, 123, 171, 103, 151, 113, 161)(101, 149, 116, 164, 108, 156, 128, 176, 106, 154, 118, 166)(109, 157, 133, 181, 139, 187, 115, 163, 132, 180, 135, 183)(112, 160, 134, 182, 136, 184, 114, 162, 131, 179, 138, 186)(120, 168, 141, 189, 126, 174, 125, 173, 144, 192, 130, 178)(121, 169, 143, 191, 127, 175, 124, 172, 142, 190, 129, 177)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 117)(6, 113)(7, 97)(8, 122)(9, 118)(10, 119)(11, 128)(12, 98)(13, 131)(14, 104)(15, 137)(16, 132)(17, 99)(18, 133)(19, 134)(20, 107)(21, 108)(22, 140)(23, 101)(24, 142)(25, 144)(26, 103)(27, 102)(28, 141)(29, 143)(30, 121)(31, 120)(32, 105)(33, 125)(34, 124)(35, 139)(36, 136)(37, 138)(38, 135)(39, 114)(40, 109)(41, 123)(42, 115)(43, 112)(44, 116)(45, 129)(46, 126)(47, 130)(48, 127)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E19.907
Graph:: bipartite
	v = 20 e = 96 f = 40
	degree seq :: [ 8^12, 12^8 ]

E19.918 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3), Y1^-2 * Y3 * Y2^-1, Y1^-1 * Y2 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^2, Y2^-1 * Y3 * Y1^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y3 * Y1^-1, (R * Y2)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3, (Y2^-1 * Y1)^3, Y3^2 * Y1 * Y3^2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 4, 52, 16, 64)(6, 54, 17, 65, 7, 55, 18, 66)(9, 57, 21, 69, 10, 58, 24, 72)(11, 59, 25, 73, 12, 60, 26, 74)(14, 62, 31, 79, 15, 63, 34, 82)(19, 67, 37, 85, 20, 68, 38, 86)(22, 70, 41, 89, 23, 71, 44, 92)(27, 75, 47, 95, 28, 76, 48, 96)(29, 77, 40, 88, 30, 78, 39, 87)(32, 80, 42, 90, 33, 81, 43, 91)(35, 83, 46, 94, 36, 84, 45, 93)(97, 145, 99, 147, 110, 158, 128, 176, 115, 163, 102, 150)(98, 146, 105, 153, 118, 166, 138, 186, 123, 171, 107, 155)(100, 148, 111, 159, 129, 177, 116, 164, 103, 151, 104, 152)(101, 149, 106, 154, 119, 167, 139, 187, 124, 172, 108, 156)(109, 157, 122, 170, 142, 190, 133, 181, 140, 188, 125, 173)(112, 160, 121, 169, 141, 189, 134, 182, 137, 185, 126, 174)(113, 161, 131, 179, 143, 191, 127, 175, 135, 183, 117, 165)(114, 162, 132, 180, 144, 192, 130, 178, 136, 184, 120, 168)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 105)(6, 104)(7, 97)(8, 99)(9, 119)(10, 118)(11, 101)(12, 98)(13, 121)(14, 129)(15, 128)(16, 122)(17, 132)(18, 131)(19, 103)(20, 102)(21, 114)(22, 139)(23, 138)(24, 113)(25, 142)(26, 141)(27, 108)(28, 107)(29, 112)(30, 109)(31, 136)(32, 116)(33, 115)(34, 135)(35, 144)(36, 143)(37, 137)(38, 140)(39, 120)(40, 117)(41, 125)(42, 124)(43, 123)(44, 126)(45, 133)(46, 134)(47, 130)(48, 127)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E19.905
Graph:: bipartite
	v = 20 e = 96 f = 40
	degree seq :: [ 8^12, 12^8 ]

E19.919 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-2, (Y3, Y2^-1), Y1^4, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y2)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-2, Y1 * Y2^-1 * Y3^-2 * Y1, Y3^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 26, 74, 16, 64)(4, 52, 18, 66, 27, 75, 19, 67)(6, 54, 24, 72, 14, 62, 25, 73)(7, 55, 28, 76, 15, 63, 29, 77)(9, 57, 30, 78, 20, 68, 31, 79)(10, 58, 33, 81, 21, 69, 34, 82)(11, 59, 35, 83, 22, 70, 36, 84)(12, 60, 37, 85, 23, 71, 38, 86)(17, 65, 32, 80, 41, 89, 44, 92)(39, 87, 48, 96, 42, 90, 46, 94)(40, 88, 47, 95, 43, 91, 45, 93)(97, 145, 99, 147, 110, 158, 104, 152, 122, 170, 102, 150)(98, 146, 105, 153, 118, 166, 101, 149, 116, 164, 107, 155)(100, 148, 111, 159, 137, 185, 123, 171, 103, 151, 113, 161)(106, 154, 119, 167, 140, 188, 117, 165, 108, 156, 128, 176)(109, 157, 133, 181, 138, 186, 112, 160, 134, 182, 135, 183)(114, 162, 131, 179, 139, 187, 115, 163, 132, 180, 136, 184)(120, 168, 141, 189, 129, 177, 121, 169, 143, 191, 130, 178)(124, 172, 142, 190, 126, 174, 125, 173, 144, 192, 127, 175)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 117)(6, 113)(7, 97)(8, 123)(9, 119)(10, 118)(11, 128)(12, 98)(13, 131)(14, 137)(15, 104)(16, 132)(17, 99)(18, 133)(19, 134)(20, 108)(21, 107)(22, 140)(23, 101)(24, 142)(25, 144)(26, 103)(27, 102)(28, 141)(29, 143)(30, 121)(31, 120)(32, 105)(33, 125)(34, 124)(35, 138)(36, 135)(37, 139)(38, 136)(39, 114)(40, 109)(41, 122)(42, 115)(43, 112)(44, 116)(45, 126)(46, 129)(47, 127)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.906
Graph:: bipartite
	v = 20 e = 96 f = 40
	degree seq :: [ 8^12, 12^8 ]

E19.920 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y1, Y2^4, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 20, 68)(12, 60, 21, 69)(13, 61, 22, 70)(14, 62, 23, 71)(15, 63, 24, 72)(16, 64, 25, 73)(17, 65, 26, 74)(18, 66, 27, 75)(19, 67, 28, 76)(29, 77, 39, 87)(30, 78, 40, 88)(31, 79, 41, 89)(32, 80, 42, 90)(33, 81, 43, 91)(34, 82, 44, 92)(35, 83, 45, 93)(36, 84, 46, 94)(37, 85, 47, 95)(38, 86, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 116, 164, 105, 153)(100, 148, 110, 158, 125, 173, 111, 159)(102, 150, 114, 162, 126, 174, 115, 163)(104, 152, 119, 167, 135, 183, 120, 168)(106, 154, 123, 171, 136, 184, 124, 172)(108, 156, 127, 175, 112, 160, 128, 176)(109, 157, 129, 177, 113, 161, 130, 178)(117, 165, 137, 185, 121, 169, 138, 186)(118, 166, 139, 187, 122, 170, 140, 188)(131, 179, 134, 182, 132, 180, 133, 181)(141, 189, 144, 192, 142, 190, 143, 191)
	L = (1, 100)(2, 104)(3, 108)(4, 102)(5, 112)(6, 97)(7, 117)(8, 106)(9, 121)(10, 98)(11, 125)(12, 109)(13, 99)(14, 130)(15, 129)(16, 113)(17, 101)(18, 133)(19, 134)(20, 135)(21, 118)(22, 103)(23, 140)(24, 139)(25, 122)(26, 105)(27, 143)(28, 144)(29, 126)(30, 107)(31, 114)(32, 115)(33, 132)(34, 131)(35, 110)(36, 111)(37, 127)(38, 128)(39, 136)(40, 116)(41, 123)(42, 124)(43, 142)(44, 141)(45, 119)(46, 120)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.924
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.921 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y2^-2 * Y3^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 22, 70)(12, 60, 23, 71)(13, 61, 24, 72)(14, 62, 25, 73)(15, 63, 26, 74)(16, 64, 27, 75)(17, 65, 28, 76)(18, 66, 29, 77)(19, 67, 30, 78)(20, 68, 31, 79)(21, 69, 32, 80)(33, 81, 41, 89)(34, 82, 42, 90)(35, 83, 43, 91)(36, 84, 44, 92)(37, 85, 45, 93)(38, 86, 46, 94)(39, 87, 47, 95)(40, 88, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 118, 166, 105, 153)(100, 148, 110, 158, 117, 165, 112, 160)(102, 150, 115, 163, 111, 159, 116, 164)(104, 152, 121, 169, 128, 176, 123, 171)(106, 154, 126, 174, 122, 170, 127, 175)(108, 156, 129, 177, 113, 161, 130, 178)(109, 157, 131, 179, 114, 162, 132, 180)(119, 167, 137, 185, 124, 172, 138, 186)(120, 168, 139, 187, 125, 173, 140, 188)(133, 181, 135, 183, 134, 182, 136, 184)(141, 189, 143, 191, 142, 190, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 113)(6, 97)(7, 119)(8, 122)(9, 124)(10, 98)(11, 117)(12, 114)(13, 99)(14, 132)(15, 107)(16, 131)(17, 109)(18, 101)(19, 135)(20, 136)(21, 102)(22, 128)(23, 125)(24, 103)(25, 140)(26, 118)(27, 139)(28, 120)(29, 105)(30, 143)(31, 144)(32, 106)(33, 115)(34, 116)(35, 133)(36, 134)(37, 110)(38, 112)(39, 130)(40, 129)(41, 126)(42, 127)(43, 141)(44, 142)(45, 121)(46, 123)(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) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.926
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.922 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, Y3^-1 * Y1 * Y3 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y3^6, Y3^-3 * Y2 * Y3^-3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 5, 53)(4, 52, 7, 55)(6, 54, 8, 56)(9, 57, 14, 62)(10, 58, 15, 63)(11, 59, 13, 61)(12, 60, 19, 67)(16, 64, 17, 65)(18, 66, 20, 68)(21, 69, 23, 71)(22, 70, 32, 80)(24, 72, 25, 73)(26, 74, 33, 81)(27, 75, 31, 79)(28, 76, 30, 78)(29, 77, 38, 86)(34, 82, 35, 83)(36, 84, 37, 85)(39, 87, 43, 91)(40, 88, 42, 90)(41, 89, 48, 96)(44, 92, 45, 93)(46, 94, 47, 95)(97, 145, 99, 147, 98, 146, 101, 149)(100, 148, 107, 155, 103, 151, 109, 157)(102, 150, 112, 160, 104, 152, 113, 161)(105, 153, 117, 165, 110, 158, 119, 167)(106, 154, 120, 168, 111, 159, 121, 169)(108, 156, 124, 172, 115, 163, 126, 174)(114, 162, 132, 180, 116, 164, 133, 181)(118, 166, 136, 184, 128, 176, 138, 186)(122, 170, 142, 190, 129, 177, 143, 191)(123, 171, 139, 187, 127, 175, 135, 183)(125, 173, 137, 185, 134, 182, 144, 192)(130, 178, 141, 189, 131, 179, 140, 188)
	L = (1, 100)(2, 103)(3, 105)(4, 108)(5, 110)(6, 97)(7, 115)(8, 98)(9, 118)(10, 99)(11, 121)(12, 125)(13, 120)(14, 128)(15, 101)(16, 130)(17, 131)(18, 102)(19, 134)(20, 104)(21, 112)(22, 137)(23, 113)(24, 140)(25, 141)(26, 106)(27, 107)(28, 135)(29, 114)(30, 139)(31, 109)(32, 144)(33, 111)(34, 142)(35, 143)(36, 138)(37, 136)(38, 116)(39, 117)(40, 127)(41, 122)(42, 123)(43, 119)(44, 133)(45, 132)(46, 124)(47, 126)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.925
Graph:: bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.923 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3^-2 * Y2 * Y1 * Y2 * Y3^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y2^-1)^3, Y3^-1 * Y2^2 * Y3^-2 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y3^6, Y2^2 * Y3^3 * Y1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 22, 70)(12, 60, 23, 71)(13, 61, 24, 72)(14, 62, 25, 73)(15, 63, 26, 74)(16, 64, 27, 75)(17, 65, 28, 76)(18, 66, 29, 77)(19, 67, 30, 78)(20, 68, 31, 79)(21, 69, 32, 80)(33, 81, 41, 89)(34, 82, 42, 90)(35, 83, 43, 91)(36, 84, 44, 92)(37, 85, 45, 93)(38, 86, 46, 94)(39, 87, 47, 95)(40, 88, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 118, 166, 105, 153)(100, 148, 110, 158, 128, 176, 112, 160)(102, 150, 115, 163, 122, 170, 116, 164)(104, 152, 121, 169, 117, 165, 123, 171)(106, 154, 126, 174, 111, 159, 127, 175)(108, 156, 129, 177, 113, 161, 130, 178)(109, 157, 131, 179, 114, 162, 132, 180)(119, 167, 137, 185, 124, 172, 138, 186)(120, 168, 139, 187, 125, 173, 140, 188)(133, 181, 143, 191, 134, 182, 144, 192)(135, 183, 142, 190, 136, 184, 141, 189)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 113)(6, 97)(7, 119)(8, 122)(9, 124)(10, 98)(11, 128)(12, 125)(13, 99)(14, 132)(15, 118)(16, 131)(17, 120)(18, 101)(19, 135)(20, 136)(21, 102)(22, 117)(23, 114)(24, 103)(25, 140)(26, 107)(27, 139)(28, 109)(29, 105)(30, 143)(31, 144)(32, 106)(33, 115)(34, 116)(35, 141)(36, 142)(37, 110)(38, 112)(39, 138)(40, 137)(41, 126)(42, 127)(43, 133)(44, 134)(45, 121)(46, 123)(47, 130)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.927
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.924 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-3 * Y3^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 14, 62)(4, 52, 9, 57, 7, 55)(6, 54, 20, 68, 22, 70)(8, 56, 27, 75, 29, 77)(10, 58, 31, 79, 33, 81)(12, 60, 24, 72, 21, 69)(13, 61, 23, 71, 15, 63)(16, 64, 39, 87, 37, 85)(17, 65, 41, 89, 43, 91)(18, 66, 40, 88, 36, 84)(19, 67, 44, 92, 42, 90)(25, 73, 30, 78, 28, 76)(26, 74, 34, 82, 32, 80)(35, 83, 47, 95, 46, 94)(38, 86, 48, 96, 45, 93)(97, 145, 99, 147, 108, 156, 105, 153, 119, 167, 102, 150)(98, 146, 104, 152, 122, 170, 103, 151, 121, 169, 106, 154)(100, 148, 112, 160, 115, 163, 101, 149, 114, 162, 113, 161)(107, 155, 131, 179, 129, 177, 111, 159, 134, 182, 128, 176)(109, 157, 132, 180, 124, 172, 110, 158, 133, 181, 125, 173)(116, 164, 137, 185, 127, 175, 120, 168, 140, 188, 130, 178)(117, 165, 136, 184, 142, 190, 118, 166, 135, 183, 141, 189)(123, 171, 143, 191, 138, 186, 126, 174, 144, 192, 139, 187)
	L = (1, 100)(2, 105)(3, 109)(4, 98)(5, 103)(6, 117)(7, 97)(8, 124)(9, 101)(10, 128)(11, 119)(12, 118)(13, 107)(14, 111)(15, 99)(16, 132)(17, 138)(18, 133)(19, 139)(20, 108)(21, 116)(22, 120)(23, 110)(24, 102)(25, 125)(26, 129)(27, 121)(28, 123)(29, 126)(30, 104)(31, 122)(32, 127)(33, 130)(34, 106)(35, 141)(36, 135)(37, 136)(38, 142)(39, 114)(40, 112)(41, 115)(42, 137)(43, 140)(44, 113)(45, 143)(46, 144)(47, 134)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.920
Graph:: bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 6^16, 12^8 ]

E19.925 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, Y2 * Y1 * Y2 * Y3^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^6, Y1 * Y2^-2 * Y3^-1 * Y2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 14, 62)(4, 52, 9, 57, 7, 55)(6, 54, 18, 66, 19, 67)(8, 56, 23, 71, 21, 69)(10, 58, 26, 74, 16, 64)(12, 60, 30, 78, 32, 80)(13, 61, 25, 73, 15, 63)(17, 65, 22, 70, 28, 76)(20, 68, 37, 85, 41, 89)(24, 72, 34, 82, 29, 77)(27, 75, 44, 92, 33, 81)(31, 79, 43, 91, 46, 94)(35, 83, 36, 84, 40, 88)(38, 86, 39, 87, 42, 90)(45, 93, 48, 96, 47, 95)(97, 145, 99, 147, 108, 156, 127, 175, 116, 164, 102, 150)(98, 146, 104, 152, 120, 168, 139, 187, 123, 171, 106, 154)(100, 148, 112, 160, 133, 181, 141, 189, 125, 173, 107, 155)(101, 149, 113, 161, 134, 182, 142, 190, 132, 180, 111, 159)(103, 151, 115, 163, 136, 184, 143, 191, 128, 176, 118, 166)(105, 153, 121, 169, 140, 188, 144, 192, 138, 186, 119, 167)(109, 157, 130, 178, 114, 162, 135, 183, 122, 170, 126, 174)(110, 158, 131, 179, 117, 165, 137, 185, 124, 172, 129, 177)
	L = (1, 100)(2, 105)(3, 109)(4, 98)(5, 103)(6, 104)(7, 97)(8, 114)(9, 101)(10, 113)(11, 121)(12, 123)(13, 107)(14, 111)(15, 99)(16, 124)(17, 122)(18, 119)(19, 117)(20, 135)(21, 102)(22, 112)(23, 115)(24, 132)(25, 110)(26, 118)(27, 126)(28, 106)(29, 131)(30, 140)(31, 141)(32, 129)(33, 108)(34, 136)(35, 120)(36, 130)(37, 138)(38, 116)(39, 133)(40, 125)(41, 134)(42, 137)(43, 144)(44, 128)(45, 139)(46, 143)(47, 127)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.922
Graph:: simple bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 6^16, 12^8 ]

E19.926 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2^2 * Y3 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-2 * Y3^-1, Y2^6, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, (Y2^-1 * Y3^-1)^3, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 14, 62)(4, 52, 9, 57, 7, 55)(6, 54, 20, 68, 22, 70)(8, 56, 27, 75, 30, 78)(10, 58, 33, 81, 35, 83)(12, 60, 29, 77, 25, 73)(13, 61, 31, 79, 15, 63)(16, 64, 28, 76, 41, 89)(17, 65, 43, 91, 23, 71)(18, 66, 42, 90, 40, 88)(19, 67, 45, 93, 44, 92)(21, 69, 32, 80, 24, 72)(26, 74, 36, 84, 34, 82)(37, 85, 48, 96, 47, 95)(38, 86, 46, 94, 39, 87)(97, 145, 99, 147, 108, 156, 134, 182, 119, 167, 102, 150)(98, 146, 104, 152, 124, 172, 142, 190, 117, 165, 106, 154)(100, 148, 112, 160, 107, 155, 133, 181, 131, 179, 113, 161)(101, 149, 114, 162, 111, 159, 135, 183, 130, 178, 115, 163)(103, 151, 121, 169, 138, 186, 143, 191, 118, 166, 122, 170)(105, 153, 127, 175, 123, 171, 144, 192, 140, 188, 128, 176)(109, 157, 129, 177, 125, 173, 141, 189, 137, 185, 116, 164)(110, 158, 132, 180, 126, 174, 139, 187, 136, 184, 120, 168)
	L = (1, 100)(2, 105)(3, 109)(4, 98)(5, 103)(6, 117)(7, 97)(8, 125)(9, 101)(10, 130)(11, 127)(12, 104)(13, 107)(14, 111)(15, 99)(16, 136)(17, 140)(18, 137)(19, 119)(20, 128)(21, 116)(22, 120)(23, 141)(24, 102)(25, 126)(26, 131)(27, 121)(28, 114)(29, 123)(30, 108)(31, 110)(32, 118)(33, 122)(34, 129)(35, 132)(36, 106)(37, 142)(38, 133)(39, 143)(40, 124)(41, 138)(42, 112)(43, 115)(44, 139)(45, 113)(46, 144)(47, 134)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.921
Graph:: simple bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 6^16, 12^8 ]

E19.927 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y3 * Y2^-1 * Y3 * Y2, Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^6, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 14, 62)(4, 52, 9, 57, 7, 55)(6, 54, 20, 68, 22, 70)(8, 56, 12, 60, 29, 77)(10, 58, 33, 81, 35, 83)(13, 61, 31, 79, 15, 63)(16, 64, 40, 88, 42, 90)(17, 65, 43, 91, 44, 92)(18, 66, 27, 75, 41, 89)(19, 67, 45, 93, 23, 71)(21, 69, 32, 80, 24, 72)(25, 73, 30, 78, 28, 76)(26, 74, 36, 84, 34, 82)(37, 85, 38, 86, 47, 95)(39, 87, 48, 96, 46, 94)(97, 145, 99, 147, 108, 156, 134, 182, 119, 167, 102, 150)(98, 146, 104, 152, 123, 171, 143, 191, 118, 166, 106, 154)(100, 148, 112, 160, 111, 159, 135, 183, 130, 178, 113, 161)(101, 149, 114, 162, 107, 155, 133, 181, 131, 179, 115, 163)(103, 151, 121, 169, 136, 184, 142, 190, 117, 165, 122, 170)(105, 153, 127, 175, 126, 174, 144, 192, 140, 188, 128, 176)(109, 157, 132, 180, 124, 172, 139, 187, 138, 186, 120, 168)(110, 158, 129, 177, 125, 173, 141, 189, 137, 185, 116, 164)
	L = (1, 100)(2, 105)(3, 109)(4, 98)(5, 103)(6, 117)(7, 97)(8, 124)(9, 101)(10, 130)(11, 127)(12, 121)(13, 107)(14, 111)(15, 99)(16, 137)(17, 119)(18, 138)(19, 140)(20, 128)(21, 116)(22, 120)(23, 139)(24, 102)(25, 125)(26, 131)(27, 112)(28, 108)(29, 126)(30, 104)(31, 110)(32, 118)(33, 122)(34, 129)(35, 132)(36, 106)(37, 142)(38, 135)(39, 143)(40, 114)(41, 136)(42, 123)(43, 115)(44, 141)(45, 113)(46, 134)(47, 144)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.923
Graph:: simple bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 6^16, 12^8 ]

E19.928 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y2, Y3), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^4, Y1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3, Y1 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1, (Y3^-2 * Y2^-1)^2, Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-2 * Y2^-1, (Y1 * Y2 * Y1 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 14, 62)(5, 53, 17, 65)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 24, 72)(9, 57, 27, 75)(10, 58, 29, 77)(12, 60, 33, 81)(13, 61, 23, 71)(15, 63, 37, 85)(16, 64, 26, 74)(18, 66, 40, 88)(20, 68, 43, 91)(22, 70, 35, 83)(25, 73, 46, 94)(28, 76, 42, 90)(30, 78, 48, 96)(31, 79, 39, 87)(32, 80, 38, 86)(34, 82, 45, 93)(36, 84, 44, 92)(41, 89, 47, 95)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 108, 156, 112, 160)(102, 150, 109, 157, 114, 162)(104, 152, 118, 166, 122, 170)(106, 154, 119, 167, 124, 172)(107, 155, 125, 173, 127, 175)(110, 158, 123, 171, 132, 180)(111, 159, 130, 178, 116, 164)(113, 161, 134, 182, 120, 168)(115, 163, 137, 185, 117, 165)(121, 169, 141, 189, 126, 174)(128, 176, 136, 184, 142, 190)(129, 177, 135, 183, 144, 192)(131, 179, 143, 191, 139, 187)(133, 181, 140, 188, 138, 186)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 112)(6, 97)(7, 118)(8, 121)(9, 122)(10, 98)(11, 123)(12, 130)(13, 99)(14, 131)(15, 109)(16, 116)(17, 135)(18, 101)(19, 134)(20, 102)(21, 113)(22, 141)(23, 103)(24, 129)(25, 119)(26, 126)(27, 143)(28, 105)(29, 132)(30, 106)(31, 110)(32, 107)(33, 140)(34, 114)(35, 128)(36, 139)(37, 137)(38, 144)(39, 138)(40, 125)(41, 120)(42, 115)(43, 142)(44, 117)(45, 124)(46, 127)(47, 136)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.931
Graph:: simple bipartite
	v = 40 e = 96 f = 20
	degree seq :: [ 4^24, 6^16 ]

E19.929 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3 * Y2^-1, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y2^4, (Y3, Y2^-1), (R * Y2^-1)^2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 14, 62)(4, 52, 16, 64, 17, 65)(6, 54, 10, 58, 20, 68)(7, 55, 22, 70, 9, 57)(11, 59, 28, 76, 19, 67)(12, 60, 23, 71, 30, 78)(13, 61, 32, 80, 33, 81)(15, 63, 35, 83, 24, 72)(18, 66, 36, 84, 39, 87)(21, 69, 40, 88, 26, 74)(25, 73, 41, 89, 34, 82)(27, 75, 38, 86, 37, 85)(29, 77, 44, 92, 45, 93)(31, 79, 47, 95, 42, 90)(43, 91, 48, 96, 46, 94)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 119, 167, 106, 154)(100, 148, 109, 157, 125, 173, 114, 162)(101, 149, 110, 158, 126, 174, 116, 164)(103, 151, 111, 159, 127, 175, 117, 165)(105, 153, 120, 168, 138, 186, 122, 170)(107, 155, 121, 169, 139, 187, 123, 171)(112, 160, 128, 176, 140, 188, 132, 180)(113, 161, 129, 177, 141, 189, 135, 183)(115, 163, 130, 178, 142, 190, 133, 181)(118, 166, 131, 179, 143, 191, 136, 184)(124, 172, 137, 185, 144, 192, 134, 182)
	L = (1, 100)(2, 105)(3, 109)(4, 111)(5, 115)(6, 114)(7, 97)(8, 120)(9, 121)(10, 122)(11, 98)(12, 125)(13, 127)(14, 130)(15, 99)(16, 101)(17, 134)(18, 103)(19, 128)(20, 133)(21, 102)(22, 135)(23, 138)(24, 139)(25, 104)(26, 107)(27, 106)(28, 136)(29, 117)(30, 142)(31, 108)(32, 110)(33, 124)(34, 140)(35, 113)(36, 116)(37, 112)(38, 143)(39, 144)(40, 141)(41, 118)(42, 123)(43, 119)(44, 126)(45, 137)(46, 132)(47, 129)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.930
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 6^16, 8^12 ]

E19.930 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1 * Y3^-2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * R * Y2 * R, (R * Y2 * Y3^-1)^2, Y1^6, Y1 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y2, (Y2 * Y3)^3, Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y1^-2, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 16, 64, 5, 53)(3, 51, 10, 58, 27, 75, 42, 90, 31, 79, 12, 60)(4, 52, 9, 57, 21, 69, 40, 88, 17, 65, 6, 54)(8, 56, 22, 70, 45, 93, 39, 87, 29, 77, 24, 72)(11, 59, 26, 74, 47, 95, 46, 94, 32, 80, 13, 61)(14, 62, 34, 82, 28, 76, 48, 96, 38, 86, 35, 83)(15, 63, 36, 84, 33, 81, 20, 68, 43, 91, 37, 85)(18, 66, 25, 73, 23, 71, 44, 92, 30, 78, 41, 89)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 111, 159)(102, 150, 114, 162)(103, 151, 116, 164)(105, 153, 122, 170)(106, 154, 124, 172)(107, 155, 125, 173)(108, 156, 126, 174)(109, 157, 129, 177)(112, 160, 135, 183)(113, 161, 128, 176)(115, 163, 138, 186)(117, 165, 140, 188)(118, 166, 142, 190)(119, 167, 132, 180)(120, 168, 134, 182)(121, 169, 123, 171)(127, 175, 131, 179)(130, 178, 141, 189)(133, 181, 143, 191)(136, 184, 144, 192)(137, 185, 139, 187)
	L = (1, 100)(2, 105)(3, 107)(4, 98)(5, 102)(6, 97)(7, 117)(8, 119)(9, 103)(10, 122)(11, 106)(12, 109)(13, 99)(14, 129)(15, 131)(16, 113)(17, 101)(18, 120)(19, 136)(20, 124)(21, 115)(22, 140)(23, 118)(24, 121)(25, 104)(26, 123)(27, 143)(28, 139)(29, 114)(30, 135)(31, 128)(32, 108)(33, 130)(34, 116)(35, 132)(36, 110)(37, 134)(38, 111)(39, 137)(40, 112)(41, 125)(42, 142)(43, 144)(44, 141)(45, 126)(46, 127)(47, 138)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.929
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.931 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y3^-1, Y1^-1), (Y2, Y1), Y1^4, Y1 * Y2 * Y1 * Y2^2, Y2^-3 * Y1^2, (Y1^-1 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y3^-1)^2, Y2^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 9, 57, 22, 70, 15, 63)(4, 52, 10, 58, 25, 73, 18, 66)(6, 54, 11, 59, 13, 61, 19, 67)(7, 55, 12, 60, 26, 74, 20, 68)(14, 62, 27, 75, 46, 94, 36, 84)(16, 64, 28, 76, 39, 87, 37, 85)(17, 65, 29, 77, 38, 86, 41, 89)(21, 69, 30, 78, 33, 81, 42, 90)(23, 71, 31, 79, 34, 82, 43, 91)(24, 72, 32, 80, 45, 93, 44, 92)(35, 83, 40, 88, 48, 96, 47, 95)(97, 145, 99, 147, 109, 157, 104, 152, 118, 166, 102, 150)(98, 146, 105, 153, 115, 163, 101, 149, 111, 159, 107, 155)(100, 148, 113, 161, 135, 183, 121, 169, 134, 182, 112, 160)(103, 151, 117, 165, 141, 189, 122, 170, 129, 177, 120, 168)(106, 154, 125, 173, 133, 181, 114, 162, 137, 185, 124, 172)(108, 156, 126, 174, 140, 188, 116, 164, 138, 186, 128, 176)(110, 158, 131, 179, 119, 167, 142, 190, 144, 192, 130, 178)(123, 171, 136, 184, 127, 175, 132, 180, 143, 191, 139, 187)
	L = (1, 100)(2, 106)(3, 110)(4, 108)(5, 114)(6, 117)(7, 97)(8, 121)(9, 123)(10, 122)(11, 126)(12, 98)(13, 129)(14, 124)(15, 132)(16, 99)(17, 136)(18, 103)(19, 138)(20, 101)(21, 127)(22, 142)(23, 102)(24, 137)(25, 116)(26, 104)(27, 135)(28, 105)(29, 144)(30, 130)(31, 107)(32, 113)(33, 139)(34, 109)(35, 128)(36, 112)(37, 111)(38, 143)(39, 118)(40, 141)(41, 131)(42, 119)(43, 115)(44, 134)(45, 125)(46, 133)(47, 120)(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, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.928
Graph:: bipartite
	v = 20 e = 96 f = 40
	degree seq :: [ 8^12, 12^8 ]

E19.932 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-3 * Y2^-1, Y2^-1 * Y1 * Y2 * Y1, (Y2^-1 * R)^2, (R * Y3)^2, Y2^4, (Y3^-1, Y2^-1), (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 14, 62)(5, 53, 9, 57)(6, 54, 17, 65)(8, 56, 21, 69)(10, 58, 24, 72)(11, 59, 18, 66)(12, 60, 27, 75)(13, 61, 28, 76)(15, 63, 32, 80)(16, 64, 30, 78)(19, 67, 37, 85)(20, 68, 38, 86)(22, 70, 42, 90)(23, 71, 40, 88)(25, 73, 44, 92)(26, 74, 39, 87)(29, 77, 36, 84)(31, 79, 45, 93)(33, 81, 46, 94)(34, 82, 35, 83)(41, 89, 47, 95)(43, 91, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 108, 156, 121, 169, 112, 160)(102, 150, 109, 157, 122, 170, 111, 159)(104, 152, 115, 163, 131, 179, 119, 167)(106, 154, 116, 164, 132, 180, 118, 166)(110, 158, 123, 171, 140, 188, 126, 174)(113, 161, 124, 172, 135, 183, 128, 176)(117, 165, 133, 181, 130, 178, 136, 184)(120, 168, 134, 182, 125, 173, 138, 186)(127, 175, 139, 187, 143, 191, 142, 190)(129, 177, 141, 189, 144, 192, 137, 185)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 112)(6, 97)(7, 115)(8, 118)(9, 119)(10, 98)(11, 121)(12, 102)(13, 99)(14, 125)(15, 101)(16, 122)(17, 129)(18, 131)(19, 106)(20, 103)(21, 135)(22, 105)(23, 132)(24, 139)(25, 109)(26, 107)(27, 138)(28, 141)(29, 142)(30, 134)(31, 110)(32, 137)(33, 133)(34, 113)(35, 116)(36, 114)(37, 128)(38, 143)(39, 144)(40, 124)(41, 117)(42, 127)(43, 123)(44, 120)(45, 130)(46, 126)(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) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.933
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.933 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y3, Y1^3, (Y1 * Y3)^2, (Y1 * Y3)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-2, Y2 * Y1 * Y2^-2 * Y1, Y2^6, (Y2 * Y1^-1)^3, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 14, 62)(4, 52, 16, 64, 17, 65)(6, 54, 22, 70, 23, 71)(7, 55, 25, 73, 9, 57)(8, 56, 13, 61, 27, 75)(10, 58, 30, 78, 31, 79)(11, 59, 32, 80, 20, 68)(15, 63, 28, 76, 34, 82)(18, 66, 29, 77, 41, 89)(19, 67, 26, 74, 39, 87)(21, 69, 43, 91, 24, 72)(33, 81, 36, 84, 45, 93)(35, 83, 44, 92, 38, 86)(37, 85, 48, 96, 46, 94)(40, 88, 47, 95, 42, 90)(97, 145, 99, 147, 109, 157, 132, 180, 120, 168, 102, 150)(98, 146, 104, 152, 122, 170, 141, 189, 119, 167, 106, 154)(100, 148, 103, 151, 111, 159, 133, 181, 138, 186, 114, 162)(101, 149, 115, 163, 108, 156, 129, 177, 127, 175, 117, 165)(105, 153, 107, 155, 124, 172, 143, 191, 140, 188, 125, 173)(110, 158, 126, 174, 123, 171, 139, 187, 135, 183, 118, 166)(112, 160, 130, 178, 131, 179, 144, 192, 137, 185, 116, 164)(113, 161, 134, 182, 121, 169, 142, 190, 128, 176, 136, 184)
	L = (1, 100)(2, 105)(3, 103)(4, 102)(5, 116)(6, 114)(7, 97)(8, 107)(9, 106)(10, 125)(11, 98)(12, 130)(13, 111)(14, 134)(15, 99)(16, 101)(17, 135)(18, 120)(19, 112)(20, 117)(21, 137)(22, 113)(23, 140)(24, 138)(25, 110)(26, 124)(27, 142)(28, 104)(29, 119)(30, 121)(31, 144)(32, 123)(33, 131)(34, 115)(35, 108)(36, 133)(37, 109)(38, 118)(39, 136)(40, 139)(41, 127)(42, 132)(43, 128)(44, 141)(45, 143)(46, 126)(47, 122)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.932
Graph:: simple bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 6^16, 12^8 ]

E19.934 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y2^-1 * Y1)^2, Y3^4, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y1 * Y2 * Y3^-1, Y3^-2 * Y2 * Y3 * Y2 * Y3^-1, (Y3^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 13, 61)(5, 53, 7, 55)(6, 54, 18, 66)(8, 56, 16, 64)(10, 58, 12, 60)(11, 59, 25, 73)(14, 62, 21, 69)(15, 63, 31, 79)(17, 65, 24, 72)(19, 67, 23, 71)(20, 68, 27, 75)(22, 70, 38, 86)(26, 74, 40, 88)(28, 76, 33, 81)(29, 77, 30, 78)(32, 80, 37, 85)(34, 82, 39, 87)(35, 83, 36, 84)(41, 89, 42, 90)(43, 91, 47, 95)(44, 92, 45, 93)(46, 94, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 112, 160)(102, 150, 115, 163, 107, 155)(104, 152, 117, 165, 109, 157)(106, 154, 120, 168, 116, 164)(108, 156, 123, 171, 113, 161)(111, 159, 128, 176, 129, 177)(114, 162, 121, 169, 119, 167)(118, 166, 125, 173, 135, 183)(122, 170, 132, 180, 138, 186)(124, 172, 133, 181, 127, 175)(126, 174, 134, 182, 130, 178)(131, 179, 136, 184, 137, 185)(139, 187, 140, 188, 144, 192)(141, 189, 143, 191, 142, 190)
	L = (1, 100)(2, 104)(3, 107)(4, 111)(5, 113)(6, 97)(7, 116)(8, 118)(9, 119)(10, 98)(11, 122)(12, 99)(13, 124)(14, 101)(15, 102)(16, 130)(17, 126)(18, 103)(19, 129)(20, 131)(21, 105)(22, 106)(23, 133)(24, 135)(25, 137)(26, 108)(27, 138)(28, 139)(29, 109)(30, 110)(31, 121)(32, 112)(33, 142)(34, 141)(35, 114)(36, 115)(37, 117)(38, 123)(39, 144)(40, 120)(41, 140)(42, 143)(43, 125)(44, 127)(45, 128)(46, 132)(47, 134)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.941
Graph:: simple bipartite
	v = 40 e = 96 f = 20
	degree seq :: [ 4^24, 6^16 ]

E19.935 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, (R * Y1)^2, Y3^4, Y1 * Y2 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y1 * Y2^-1)^2, Y3^2 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 14, 62)(5, 53, 18, 66)(6, 54, 20, 68)(7, 55, 22, 70)(8, 56, 13, 61)(9, 57, 26, 74)(10, 58, 17, 65)(12, 60, 31, 79)(15, 63, 24, 72)(16, 64, 29, 77)(19, 67, 28, 76)(21, 69, 27, 75)(23, 71, 42, 90)(25, 73, 41, 89)(30, 78, 40, 88)(32, 80, 38, 86)(33, 81, 39, 87)(34, 82, 43, 91)(35, 83, 36, 84)(37, 85, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 111, 159, 113, 161)(102, 150, 117, 165, 108, 156)(104, 152, 120, 168, 116, 164)(106, 154, 124, 172, 119, 167)(107, 155, 125, 173, 126, 174)(109, 157, 129, 177, 115, 163)(110, 158, 130, 178, 123, 171)(112, 160, 122, 170, 132, 180)(114, 162, 134, 182, 121, 169)(118, 166, 137, 185, 133, 181)(127, 175, 141, 189, 135, 183)(128, 176, 136, 184, 143, 191)(131, 179, 140, 188, 142, 190)(138, 186, 144, 192, 139, 187)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 115)(6, 97)(7, 119)(8, 121)(9, 123)(10, 98)(11, 120)(12, 128)(13, 99)(14, 103)(15, 101)(16, 102)(17, 133)(18, 116)(19, 118)(20, 126)(21, 132)(22, 111)(23, 131)(24, 105)(25, 106)(26, 113)(27, 107)(28, 134)(29, 130)(30, 135)(31, 125)(32, 109)(33, 143)(34, 142)(35, 110)(36, 144)(37, 139)(38, 141)(39, 114)(40, 117)(41, 129)(42, 137)(43, 122)(44, 124)(45, 140)(46, 127)(47, 138)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.940
Graph:: simple bipartite
	v = 40 e = 96 f = 20
	degree seq :: [ 4^24, 6^16 ]

E19.936 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^4, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2 * R * Y2^-1 * R, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y1 * Y3^-1 * Y2 * Y3 * Y2^-1, Y3 * Y2^-2 * Y1^-1 * Y3 * Y1^-1, Y3^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 20, 68)(6, 54, 24, 72, 8, 56)(7, 55, 27, 75, 9, 57)(10, 58, 34, 82, 22, 70)(11, 59, 37, 85, 23, 71)(13, 61, 33, 81, 40, 88)(14, 62, 35, 83, 28, 76)(16, 64, 31, 79, 29, 77)(18, 66, 26, 74, 36, 84)(19, 67, 42, 90, 38, 86)(21, 69, 25, 73, 32, 80)(30, 78, 44, 92, 46, 94)(39, 87, 48, 96, 43, 91)(41, 89, 45, 93, 47, 95)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 126, 174, 106, 154)(100, 148, 114, 162, 133, 181, 117, 165)(101, 149, 118, 166, 134, 182, 108, 156)(103, 151, 124, 172, 135, 183, 125, 173)(105, 153, 122, 170, 116, 164, 110, 158)(107, 155, 112, 160, 139, 187, 121, 169)(111, 159, 138, 186, 143, 191, 129, 177)(113, 161, 128, 176, 144, 192, 131, 179)(115, 163, 130, 178, 142, 190, 137, 185)(119, 167, 132, 180, 123, 171, 127, 175)(120, 168, 136, 184, 141, 189, 140, 188)
	L = (1, 100)(2, 105)(3, 110)(4, 115)(5, 119)(6, 121)(7, 97)(8, 127)(9, 129)(10, 131)(11, 98)(12, 125)(13, 135)(14, 137)(15, 132)(16, 99)(17, 101)(18, 108)(19, 103)(20, 126)(21, 141)(22, 117)(23, 140)(24, 114)(25, 130)(26, 102)(27, 134)(28, 118)(29, 120)(30, 139)(31, 143)(32, 104)(33, 107)(34, 122)(35, 111)(36, 106)(37, 109)(38, 144)(39, 142)(40, 123)(41, 112)(42, 116)(43, 138)(44, 113)(45, 124)(46, 133)(47, 128)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.939
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 6^16, 8^12 ]

E19.937 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2 * Y1^-1)^2, Y2^4, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y2, R * Y2 * Y1 * R * Y2^-1, Y1 * Y3^-1 * Y2^-1 * Y3 * Y2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, (Y2^-1 * Y1^-1 * Y3)^2, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 10, 58)(4, 52, 16, 64, 19, 67)(6, 54, 21, 69, 25, 73)(7, 55, 27, 75, 9, 57)(8, 56, 30, 78, 23, 71)(11, 59, 37, 85, 22, 70)(13, 61, 34, 82, 39, 87)(14, 62, 36, 84, 17, 65)(15, 63, 33, 81, 20, 68)(18, 66, 43, 91, 45, 93)(24, 72, 32, 80, 29, 77)(26, 74, 35, 83, 28, 76)(31, 79, 38, 86, 46, 94)(40, 88, 47, 95, 41, 89)(42, 90, 48, 96, 44, 92)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 127, 175, 106, 154)(100, 148, 113, 161, 133, 181, 116, 164)(101, 149, 117, 165, 141, 189, 119, 167)(103, 151, 124, 172, 136, 184, 125, 173)(105, 153, 120, 168, 115, 163, 111, 159)(107, 155, 110, 158, 137, 185, 122, 170)(108, 156, 134, 182, 138, 186, 135, 183)(112, 160, 128, 176, 143, 191, 132, 180)(114, 162, 140, 188, 142, 190, 126, 174)(118, 166, 131, 179, 123, 171, 129, 177)(121, 169, 130, 178, 144, 192, 139, 187)
	L = (1, 100)(2, 105)(3, 110)(4, 114)(5, 118)(6, 120)(7, 97)(8, 128)(9, 130)(10, 131)(11, 98)(12, 116)(13, 136)(14, 126)(15, 99)(16, 101)(17, 138)(18, 103)(19, 127)(20, 117)(21, 124)(22, 134)(23, 113)(24, 140)(25, 129)(26, 102)(27, 141)(28, 108)(29, 119)(30, 111)(31, 137)(32, 121)(33, 104)(34, 107)(35, 144)(36, 106)(37, 109)(38, 112)(39, 123)(40, 142)(41, 139)(42, 125)(43, 115)(44, 122)(45, 143)(46, 133)(47, 135)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.938
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 6^16, 8^12 ]

E19.938 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^-2 * Y2 * Y3^-1, Y3^4, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y2 * Y3 * Y2, (Y1^-1 * Y3^-1 * Y2)^2, Y1 * Y3^-1 * Y1^-1 * Y2 * Y3^2, (Y2 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 20, 68, 15, 63, 5, 53)(3, 51, 11, 59, 6, 54, 17, 65, 33, 81, 13, 61)(4, 52, 14, 62, 25, 73, 8, 56, 23, 71, 10, 58)(9, 57, 26, 74, 18, 66, 21, 69, 36, 84, 22, 70)(12, 60, 32, 80, 43, 91, 29, 77, 38, 86, 31, 79)(16, 64, 30, 78, 40, 88, 24, 72, 19, 67, 34, 82)(27, 75, 39, 87, 46, 94, 37, 85, 28, 76, 41, 89)(35, 83, 45, 93, 48, 96, 44, 92, 47, 95, 42, 90)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 105, 153)(102, 150, 115, 163)(103, 151, 117, 165)(106, 154, 124, 172)(107, 155, 125, 173)(108, 156, 129, 177)(109, 157, 126, 174)(110, 158, 120, 168)(112, 160, 119, 167)(113, 161, 116, 164)(114, 162, 128, 176)(118, 166, 134, 182)(121, 169, 135, 183)(122, 170, 133, 181)(123, 171, 132, 180)(127, 175, 141, 189)(130, 178, 140, 188)(131, 179, 136, 184)(137, 185, 144, 192)(138, 186, 142, 190)(139, 187, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 113)(6, 97)(7, 99)(8, 120)(9, 123)(10, 98)(11, 126)(12, 118)(13, 116)(14, 124)(15, 117)(16, 102)(17, 125)(18, 101)(19, 131)(20, 104)(21, 133)(22, 103)(23, 135)(24, 109)(25, 111)(26, 134)(27, 106)(28, 138)(29, 114)(30, 140)(31, 107)(32, 141)(33, 115)(34, 110)(35, 139)(36, 128)(37, 121)(38, 143)(39, 144)(40, 119)(41, 122)(42, 130)(43, 129)(44, 127)(45, 142)(46, 132)(47, 137)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.937
Graph:: bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.939 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3 * Y1^-1)^2, (Y1^-1 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1^-1)^2, (Y3 * Y2 * Y1^-1)^2, Y1^6, (R * Y2 * Y3^-1)^2, Y2 * Y3^-2 * Y1 * Y3 * Y1^-1, (Y3 * Y2)^3, (Y1^-1 * Y3^-1 * Y1^-1)^2, Y1^-1 * R * Y1 * Y2 * R * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 22, 70, 18, 66, 5, 53)(3, 51, 11, 59, 33, 81, 41, 89, 23, 71, 8, 56)(4, 52, 14, 62, 39, 87, 42, 90, 32, 80, 10, 58)(6, 54, 17, 65, 38, 86, 43, 91, 24, 72, 21, 69)(9, 57, 28, 76, 19, 67, 37, 85, 47, 95, 25, 73)(12, 60, 36, 84, 44, 92, 29, 77, 16, 64, 35, 83)(13, 61, 26, 74, 20, 68, 40, 88, 45, 93, 30, 78)(15, 63, 31, 79, 48, 96, 34, 82, 46, 94, 27, 75)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 107, 155)(102, 150, 116, 164)(103, 151, 119, 167)(105, 153, 125, 173)(106, 154, 127, 175)(108, 156, 133, 181)(109, 157, 134, 182)(110, 158, 123, 171)(112, 160, 121, 169)(113, 161, 122, 170)(114, 162, 129, 177)(115, 163, 132, 180)(117, 165, 136, 184)(118, 166, 137, 185)(120, 168, 141, 189)(124, 172, 140, 188)(126, 174, 139, 187)(128, 176, 144, 192)(130, 178, 138, 186)(131, 179, 143, 191)(135, 183, 142, 190)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 113)(6, 97)(7, 120)(8, 122)(9, 126)(10, 98)(11, 130)(12, 128)(13, 99)(14, 136)(15, 134)(16, 102)(17, 127)(18, 133)(19, 101)(20, 135)(21, 131)(22, 138)(23, 111)(24, 142)(25, 103)(26, 143)(27, 104)(28, 144)(29, 110)(30, 106)(31, 115)(32, 109)(33, 141)(34, 117)(35, 107)(36, 139)(37, 116)(38, 140)(39, 114)(40, 137)(41, 125)(42, 132)(43, 118)(44, 119)(45, 124)(46, 121)(47, 123)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.936
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.940 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3^-1 * Y2^-1, Y1 * Y3 * Y2^-2, Y1^-1 * Y2 * Y3 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y1)^2, Y2^2 * Y3^-1 * Y1^-1, (Y2 * Y1^-1)^2, (Y3^-1 * Y2)^2, (R * Y3)^2, Y1^4, Y3^4, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y3 * Y1 * Y3^-1 * Y2^2 * Y1^-1, (Y3 * Y1^-2)^2, (Y1 * Y3)^3, Y2^6, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y3^2 * Y1^-1 * Y3^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 37, 85, 11, 59)(4, 52, 15, 63, 30, 78, 18, 66)(6, 54, 14, 62, 42, 90, 23, 71)(7, 55, 26, 74, 28, 76, 24, 72)(9, 57, 31, 79, 48, 96, 29, 77)(10, 58, 32, 80, 21, 69, 35, 83)(12, 60, 40, 88, 19, 67, 38, 86)(16, 64, 33, 81, 25, 73, 39, 87)(17, 65, 43, 91, 46, 94, 34, 82)(20, 68, 27, 75, 45, 93, 44, 92)(22, 70, 41, 89, 47, 95, 36, 84)(97, 145, 99, 147, 106, 154, 129, 177, 120, 168, 102, 150)(98, 146, 105, 153, 124, 172, 121, 169, 134, 182, 107, 155)(100, 148, 112, 160, 128, 176, 116, 164, 101, 149, 110, 158)(103, 151, 118, 166, 131, 179, 109, 157, 130, 178, 119, 167)(104, 152, 123, 171, 115, 163, 135, 183, 111, 159, 125, 173)(108, 156, 132, 180, 122, 170, 127, 175, 142, 190, 133, 181)(113, 161, 140, 188, 117, 165, 137, 185, 114, 162, 138, 186)(126, 174, 143, 191, 136, 184, 141, 189, 139, 187, 144, 192)
	L = (1, 100)(2, 106)(3, 105)(4, 113)(5, 115)(6, 118)(7, 97)(8, 124)(9, 123)(10, 130)(11, 132)(12, 98)(13, 129)(14, 99)(15, 128)(16, 125)(17, 103)(18, 136)(19, 139)(20, 137)(21, 101)(22, 127)(23, 140)(24, 134)(25, 102)(26, 131)(27, 110)(28, 142)(29, 143)(30, 104)(31, 121)(32, 120)(33, 116)(34, 108)(35, 114)(36, 141)(37, 119)(38, 111)(39, 107)(40, 122)(41, 109)(42, 112)(43, 117)(44, 144)(45, 135)(46, 126)(47, 138)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.935
Graph:: bipartite
	v = 20 e = 96 f = 40
	degree seq :: [ 8^12, 12^8 ]

E19.941 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y2^-1)^2, (Y2^-1 * Y3)^2, Y1 * Y2 * Y3 * Y2^-1, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1, (Y1^-1 * Y3^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^3, (Y2^-1 * Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-2 * Y3^-1 * Y1^-1 * Y3, (Y2^2 * Y1^-1)^2, Y3 * Y1^-1 * Y3 * Y2^2 * Y1^-1, (Y3 * Y2 * Y1^-1)^2, Y3^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 41, 89, 16, 64)(4, 52, 17, 65, 30, 78, 20, 68)(6, 54, 22, 70, 31, 79, 9, 57)(7, 55, 24, 72, 28, 76, 26, 74)(10, 58, 32, 80, 21, 69, 35, 83)(11, 59, 36, 84, 45, 93, 27, 75)(12, 60, 38, 86, 14, 62, 40, 88)(15, 63, 29, 77, 47, 95, 44, 92)(18, 66, 33, 81, 25, 73, 39, 87)(19, 67, 43, 91, 46, 94, 34, 82)(23, 71, 42, 90, 48, 96, 37, 85)(97, 145, 99, 147, 110, 158, 135, 183, 120, 168, 102, 150)(98, 146, 105, 153, 100, 148, 114, 162, 134, 182, 107, 155)(101, 149, 111, 159, 124, 172, 121, 169, 131, 179, 109, 157)(103, 151, 119, 167, 136, 184, 112, 160, 139, 187, 118, 166)(104, 152, 123, 171, 106, 154, 129, 177, 116, 164, 125, 173)(108, 156, 133, 181, 113, 161, 127, 175, 115, 163, 132, 180)(117, 165, 138, 186, 122, 170, 140, 188, 142, 190, 137, 185)(126, 174, 144, 192, 128, 176, 141, 189, 130, 178, 143, 191)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 110)(6, 119)(7, 97)(8, 124)(9, 99)(10, 130)(11, 133)(12, 98)(13, 138)(14, 139)(15, 123)(16, 135)(17, 128)(18, 125)(19, 103)(20, 134)(21, 101)(22, 132)(23, 140)(24, 131)(25, 102)(26, 136)(27, 105)(28, 142)(29, 144)(30, 104)(31, 114)(32, 122)(33, 109)(34, 108)(35, 116)(36, 143)(37, 112)(38, 120)(39, 107)(40, 113)(41, 118)(42, 141)(43, 117)(44, 121)(45, 129)(46, 126)(47, 137)(48, 127)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E19.934
Graph:: bipartite
	v = 20 e = 96 f = 40
	degree seq :: [ 8^12, 12^8 ]

E19.942 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y2 * R * Y3, (R * Y1)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^8, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map::
	R = (1, 50, 2, 53, 5, 59, 11, 68, 20, 67, 19, 58, 10, 52, 4, 49)(3, 55, 7, 60, 12, 70, 22, 79, 31, 76, 28, 65, 17, 56, 8, 51)(6, 61, 13, 69, 21, 80, 32, 78, 30, 66, 18, 57, 9, 62, 14, 54)(15, 73, 25, 81, 33, 91, 43, 88, 40, 75, 27, 64, 16, 74, 26, 63)(23, 82, 34, 90, 42, 89, 41, 77, 29, 84, 36, 72, 24, 83, 35, 71)(37, 92, 44, 96, 48, 95, 47, 87, 39, 94, 46, 86, 38, 93, 45, 85)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 31)(22, 33)(25, 37)(26, 38)(27, 39)(28, 40)(32, 42)(34, 44)(35, 45)(36, 46)(41, 47)(43, 48)(49, 51)(50, 54)(52, 57)(53, 60)(55, 63)(56, 64)(58, 65)(59, 69)(61, 71)(62, 72)(66, 77)(67, 78)(68, 79)(70, 81)(73, 85)(74, 86)(75, 87)(76, 88)(80, 90)(82, 92)(83, 93)(84, 94)(89, 95)(91, 96)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.943 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
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, Y3 * Y2, R * Y2 * R * Y3, (R * Y1)^2, (Y2 * Y1^-2)^2, Y1^8, (Y2 * Y1^-1)^6 ]
Map::
	R = (1, 50, 2, 53, 5, 59, 11, 68, 20, 67, 19, 58, 10, 52, 4, 49)(3, 55, 7, 63, 15, 73, 25, 79, 31, 70, 22, 60, 12, 56, 8, 51)(6, 61, 13, 57, 9, 66, 18, 77, 29, 80, 32, 69, 21, 62, 14, 54)(16, 74, 26, 65, 17, 76, 28, 81, 33, 91, 43, 85, 37, 75, 27, 64)(23, 82, 34, 72, 24, 84, 36, 90, 42, 89, 41, 78, 30, 83, 35, 71)(38, 93, 45, 87, 39, 95, 47, 96, 48, 94, 46, 88, 40, 92, 44, 86)
	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, 47)(43, 48)(49, 51)(50, 54)(52, 57)(53, 60)(55, 64)(56, 65)(58, 63)(59, 69)(61, 71)(62, 72)(66, 78)(67, 77)(68, 79)(70, 81)(73, 85)(74, 86)(75, 87)(76, 88)(80, 90)(82, 92)(83, 93)(84, 94)(89, 95)(91, 96)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.944 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
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 * Y1)^2, R * Y3 * R * Y2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y1^-4 * Y3 * Y2, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 65, 17, 58, 10, 69, 21, 64, 16, 53, 5, 49)(3, 57, 9, 67, 19, 61, 13, 52, 4, 60, 12, 66, 18, 59, 11, 51)(7, 68, 20, 62, 14, 72, 24, 56, 8, 71, 23, 63, 15, 70, 22, 55)(25, 81, 33, 75, 27, 84, 36, 74, 26, 83, 35, 76, 28, 82, 34, 73)(29, 85, 37, 79, 31, 88, 40, 78, 30, 87, 39, 80, 32, 86, 38, 77)(41, 95, 47, 91, 43, 94, 46, 90, 42, 96, 48, 92, 44, 93, 45, 89)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 25)(11, 27)(12, 26)(13, 28)(15, 17)(16, 19)(20, 29)(22, 31)(23, 30)(24, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 67)(55, 69)(57, 74)(59, 76)(60, 73)(61, 75)(62, 65)(64, 66)(68, 78)(70, 80)(71, 77)(72, 79)(81, 90)(82, 92)(83, 89)(84, 91)(85, 94)(86, 96)(87, 93)(88, 95)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.945 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y1)^2, R * Y3 * R * Y2, Y3 * Y2 * Y1^4, Y1^-1 * Y3 * Y1^-2 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 65, 17, 58, 10, 69, 21, 64, 16, 53, 5, 49)(3, 57, 9, 66, 18, 61, 13, 52, 4, 60, 12, 67, 19, 59, 11, 51)(7, 68, 20, 63, 15, 72, 24, 56, 8, 71, 23, 62, 14, 70, 22, 55)(25, 81, 33, 76, 28, 84, 36, 74, 26, 83, 35, 75, 27, 82, 34, 73)(29, 85, 37, 80, 32, 88, 40, 78, 30, 87, 39, 79, 31, 86, 38, 77)(41, 93, 45, 92, 44, 96, 48, 90, 42, 94, 46, 91, 43, 95, 47, 89)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 25)(11, 27)(12, 26)(13, 28)(15, 17)(16, 19)(20, 29)(22, 31)(23, 30)(24, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 67)(55, 69)(57, 74)(59, 76)(60, 73)(61, 75)(62, 65)(64, 66)(68, 78)(70, 80)(71, 77)(72, 79)(81, 90)(82, 92)(83, 89)(84, 91)(85, 94)(86, 96)(87, 93)(88, 95)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.946 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, Y3^2 * Y2 * Y3^-2 * Y1, Y3^8, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 28, 76, 19, 67, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 22, 70, 34, 82, 24, 72, 14, 62, 6, 54)(7, 55, 15, 63, 26, 74, 39, 87, 30, 78, 18, 66, 9, 57, 16, 64)(11, 59, 20, 68, 32, 80, 44, 92, 36, 84, 23, 71, 13, 61, 21, 69)(25, 73, 37, 85, 47, 95, 41, 89, 29, 77, 40, 88, 27, 75, 38, 86)(31, 79, 42, 90, 48, 96, 46, 94, 35, 83, 45, 93, 33, 81, 43, 91)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 108)(106, 110)(111, 121)(112, 123)(113, 122)(114, 125)(115, 126)(116, 127)(117, 129)(118, 128)(119, 131)(120, 132)(124, 130)(133, 138)(134, 139)(135, 143)(136, 141)(137, 142)(140, 144)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 156)(154, 158)(159, 169)(160, 171)(161, 170)(162, 173)(163, 174)(164, 175)(165, 177)(166, 176)(167, 179)(168, 180)(172, 178)(181, 186)(182, 187)(183, 191)(184, 189)(185, 190)(188, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.955
Graph:: simple bipartite
	v = 54 e = 96 f = 6
	degree seq :: [ 2^48, 16^6 ]

E19.947 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
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 * Y1, R * Y2 * R * Y1, (R * Y3)^2, (Y3^2 * Y1)^2, Y3^8, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 28, 76, 19, 67, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 22, 70, 34, 82, 24, 72, 14, 62, 6, 54)(7, 55, 15, 63, 9, 57, 18, 66, 30, 78, 40, 88, 27, 75, 16, 64)(11, 59, 20, 68, 13, 61, 23, 71, 36, 84, 45, 93, 33, 81, 21, 69)(25, 73, 37, 85, 26, 74, 39, 87, 47, 95, 41, 89, 29, 77, 38, 86)(31, 79, 42, 90, 32, 80, 44, 92, 48, 96, 46, 94, 35, 83, 43, 91)(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, 127)(117, 128)(118, 129)(119, 131)(120, 132)(124, 130)(133, 139)(134, 138)(135, 142)(136, 143)(137, 140)(141, 144)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 158)(154, 156)(159, 169)(160, 170)(161, 171)(162, 173)(163, 174)(164, 175)(165, 176)(166, 177)(167, 179)(168, 180)(172, 178)(181, 187)(182, 186)(183, 190)(184, 191)(185, 188)(189, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.956
Graph:: simple bipartite
	v = 54 e = 96 f = 6
	degree seq :: [ 2^48, 16^6 ]

E19.948 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
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 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y2 * Y3^-3, (Y3^2 * Y2)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 18, 66, 6, 54, 17, 65, 16, 64, 5, 53)(2, 50, 7, 55, 21, 69, 10, 58, 3, 51, 9, 57, 24, 72, 8, 56)(11, 59, 25, 73, 14, 62, 28, 76, 12, 60, 27, 75, 15, 63, 26, 74)(19, 67, 29, 77, 22, 70, 32, 80, 20, 68, 31, 79, 23, 71, 30, 78)(33, 81, 41, 89, 35, 83, 44, 92, 34, 82, 43, 91, 36, 84, 42, 90)(37, 85, 45, 93, 39, 87, 48, 96, 38, 86, 47, 95, 40, 88, 46, 94)(97, 98)(99, 102)(100, 107)(101, 110)(103, 115)(104, 118)(105, 116)(106, 119)(108, 113)(109, 120)(111, 114)(112, 117)(121, 129)(122, 131)(123, 130)(124, 132)(125, 133)(126, 135)(127, 134)(128, 136)(137, 142)(138, 141)(139, 144)(140, 143)(145, 147)(146, 150)(148, 156)(149, 159)(151, 164)(152, 167)(153, 163)(154, 166)(155, 161)(157, 165)(158, 162)(160, 168)(169, 178)(170, 180)(171, 177)(172, 179)(173, 182)(174, 184)(175, 181)(176, 183)(185, 192)(186, 191)(187, 190)(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) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.957
Graph:: simple bipartite
	v = 54 e = 96 f = 6
	degree seq :: [ 2^48, 16^6 ]

E19.949 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-3 * Y1 * Y2 * Y3^-1, Y3^-2 * Y2 * Y3^2 * Y2, Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 18, 66, 6, 54, 17, 65, 16, 64, 5, 53)(2, 50, 7, 55, 21, 69, 10, 58, 3, 51, 9, 57, 24, 72, 8, 56)(11, 59, 25, 73, 15, 63, 28, 76, 12, 60, 27, 75, 14, 62, 26, 74)(19, 67, 29, 77, 23, 71, 32, 80, 20, 68, 31, 79, 22, 70, 30, 78)(33, 81, 41, 89, 36, 84, 44, 92, 34, 82, 43, 91, 35, 83, 42, 90)(37, 85, 45, 93, 40, 88, 48, 96, 38, 86, 47, 95, 39, 87, 46, 94)(97, 98)(99, 102)(100, 107)(101, 110)(103, 115)(104, 118)(105, 116)(106, 119)(108, 113)(109, 117)(111, 114)(112, 120)(121, 129)(122, 131)(123, 130)(124, 132)(125, 133)(126, 135)(127, 134)(128, 136)(137, 141)(138, 142)(139, 143)(140, 144)(145, 147)(146, 150)(148, 156)(149, 159)(151, 164)(152, 167)(153, 163)(154, 166)(155, 161)(157, 168)(158, 162)(160, 165)(169, 178)(170, 180)(171, 177)(172, 179)(173, 182)(174, 184)(175, 181)(176, 183)(185, 191)(186, 192)(187, 189)(188, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.958
Graph:: simple bipartite
	v = 54 e = 96 f = 6
	degree seq :: [ 2^48, 16^6 ]

E19.950 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = C2 x C8 x S3 (small group id <96, 106>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-2, Y3 * Y1^2 * Y3 * Y1^-2, Y2^8, Y1^8, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 16, 64)(9, 57, 18, 66)(10, 58, 19, 67)(11, 59, 21, 69)(13, 61, 23, 71)(14, 62, 24, 72)(15, 63, 25, 73)(17, 65, 27, 75)(20, 68, 31, 79)(22, 70, 33, 81)(26, 74, 37, 85)(28, 76, 39, 87)(29, 77, 40, 88)(30, 78, 41, 89)(32, 80, 42, 90)(34, 82, 44, 92)(35, 83, 45, 93)(36, 84, 46, 94)(38, 86, 47, 95)(43, 91, 48, 96)(97, 98, 101, 107, 116, 111, 103, 99)(100, 105, 108, 118, 127, 122, 112, 106)(102, 109, 117, 128, 121, 113, 104, 110)(114, 124, 129, 139, 133, 126, 115, 125)(119, 130, 138, 134, 123, 132, 120, 131)(135, 140, 144, 143, 137, 142, 136, 141)(145, 147, 151, 159, 164, 155, 149, 146)(148, 154, 160, 170, 175, 166, 156, 153)(150, 158, 152, 161, 169, 176, 165, 157)(162, 173, 163, 174, 181, 187, 177, 172)(167, 179, 168, 180, 171, 182, 186, 178)(183, 189, 184, 190, 185, 191, 192, 188)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.959
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.951 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = (C8 : C2) x S3 (small group id <96, 113>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-3, (Y2^-1 * Y1^-1)^2, Y2 * Y1^2 * Y2, (Y1^-1, Y2^-1), R * Y1 * R * Y2, Y1^-2 * Y2 * Y1^-1, (R * Y3)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 11, 59)(5, 53, 16, 64)(6, 54, 17, 65)(7, 55, 18, 66)(8, 56, 19, 67)(10, 58, 24, 72)(12, 60, 25, 73)(13, 61, 26, 74)(14, 62, 27, 75)(15, 63, 28, 76)(20, 68, 29, 77)(21, 69, 30, 78)(22, 70, 31, 79)(23, 71, 32, 80)(33, 81, 41, 89)(34, 82, 42, 90)(35, 83, 43, 91)(36, 84, 44, 92)(37, 85, 45, 93)(38, 86, 46, 94)(39, 87, 47, 95)(40, 88, 48, 96)(97, 98, 103, 99, 104, 102, 106, 101)(100, 108, 114, 109, 115, 111, 120, 110)(105, 116, 107, 117, 113, 119, 112, 118)(121, 129, 122, 130, 124, 132, 123, 131)(125, 133, 126, 134, 128, 136, 127, 135)(137, 141, 138, 142, 140, 144, 139, 143)(145, 147, 154, 146, 152, 149, 151, 150)(148, 157, 168, 156, 163, 158, 162, 159)(153, 165, 160, 164, 161, 166, 155, 167)(169, 178, 171, 177, 172, 179, 170, 180)(173, 182, 175, 181, 176, 183, 174, 184)(185, 190, 187, 189, 188, 191, 186, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.960
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.952 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (C8 : C2) x S3 (small group id <96, 113>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1), Y2 * Y1^2 * Y2, (Y2^-1 * Y1^-1)^2, Y1^-2 * Y2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y1^-2 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 11, 59)(5, 53, 16, 64)(6, 54, 17, 65)(7, 55, 18, 66)(8, 56, 19, 67)(10, 58, 24, 72)(12, 60, 25, 73)(13, 61, 26, 74)(14, 62, 27, 75)(15, 63, 28, 76)(20, 68, 29, 77)(21, 69, 30, 78)(22, 70, 31, 79)(23, 71, 32, 80)(33, 81, 41, 89)(34, 82, 42, 90)(35, 83, 43, 91)(36, 84, 44, 92)(37, 85, 45, 93)(38, 86, 46, 94)(39, 87, 47, 95)(40, 88, 48, 96)(97, 98, 103, 99, 104, 102, 106, 101)(100, 108, 114, 109, 115, 111, 120, 110)(105, 116, 107, 117, 113, 119, 112, 118)(121, 129, 122, 130, 124, 132, 123, 131)(125, 133, 126, 134, 128, 136, 127, 135)(137, 144, 138, 143, 140, 141, 139, 142)(145, 147, 154, 146, 152, 149, 151, 150)(148, 157, 168, 156, 163, 158, 162, 159)(153, 165, 160, 164, 161, 166, 155, 167)(169, 178, 171, 177, 172, 179, 170, 180)(173, 182, 175, 181, 176, 183, 174, 184)(185, 191, 187, 192, 188, 190, 186, 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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.961
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.953 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
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, Y3 * Y1^-1 * Y3 * Y2, R * Y2 * R * Y1, Y2^-2 * Y1^-2, (R * Y3)^2, (Y3 * Y2^-2)^2, (Y2^-1 * Y1^-1)^3, Y2^-2 * Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 13, 61)(5, 53, 16, 64)(6, 54, 15, 63)(7, 55, 20, 68)(8, 56, 23, 71)(10, 58, 25, 73)(11, 59, 27, 75)(12, 60, 29, 77)(14, 62, 31, 79)(17, 65, 34, 82)(18, 66, 33, 81)(19, 67, 36, 84)(21, 69, 38, 86)(22, 70, 40, 88)(24, 72, 41, 89)(26, 74, 42, 90)(28, 76, 43, 91)(30, 78, 44, 92)(32, 80, 45, 93)(35, 83, 46, 94)(37, 85, 47, 95)(39, 87, 48, 96)(97, 98, 103, 115, 131, 126, 108, 101)(99, 107, 102, 114, 117, 135, 124, 110)(100, 109, 125, 139, 142, 134, 116, 111)(104, 118, 106, 122, 133, 128, 113, 120)(105, 119, 112, 130, 140, 143, 132, 121)(123, 137, 127, 141, 144, 138, 129, 136)(145, 147, 156, 172, 179, 165, 151, 150)(146, 152, 149, 161, 174, 181, 163, 154)(148, 153, 164, 180, 190, 188, 173, 160)(155, 168, 158, 176, 183, 170, 162, 166)(157, 171, 159, 177, 182, 192, 187, 175)(167, 184, 169, 186, 191, 189, 178, 185)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.962
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.954 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = QD16 x S3 (small group id <96, 120>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2^-2 * Y3 * Y1^2, Y3 * Y1^-3 * Y3 * Y2^-1, (Y2^-1 * Y1^-1)^3, (Y1 * Y3 * Y2^-1)^2, (Y2 * Y3 * Y1)^2, Y2^8, (Y3 * Y2 * Y3 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 13, 61)(5, 53, 20, 68)(6, 54, 22, 70)(7, 55, 24, 72)(8, 56, 27, 75)(10, 58, 34, 82)(11, 59, 35, 83)(12, 60, 30, 78)(14, 62, 41, 89)(15, 63, 25, 73)(16, 64, 37, 85)(17, 65, 36, 84)(18, 66, 23, 71)(19, 67, 31, 79)(21, 69, 39, 87)(26, 74, 45, 93)(28, 76, 48, 96)(29, 77, 43, 91)(32, 80, 42, 90)(33, 81, 47, 95)(38, 86, 44, 92)(40, 88, 46, 94)(97, 98, 103, 119, 138, 133, 108, 101)(99, 107, 102, 117, 121, 140, 132, 110)(100, 111, 126, 118, 128, 109, 120, 113)(104, 122, 106, 129, 139, 136, 115, 124)(105, 125, 116, 130, 112, 123, 114, 127)(131, 143, 137, 141, 134, 144, 135, 142)(145, 147, 156, 180, 186, 169, 151, 150)(146, 152, 149, 163, 181, 187, 167, 154)(148, 160, 168, 164, 176, 153, 174, 162)(155, 172, 158, 184, 188, 177, 165, 170)(157, 182, 166, 185, 159, 179, 161, 183)(171, 190, 178, 192, 173, 189, 175, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.963
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.955 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, Y3^2 * Y2 * Y3^-2 * Y1, Y3^8, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 17, 65, 113, 161, 28, 76, 124, 172, 19, 67, 115, 163, 10, 58, 106, 154, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 12, 60, 108, 156, 22, 70, 118, 166, 34, 82, 130, 178, 24, 72, 120, 168, 14, 62, 110, 158, 6, 54, 102, 150)(7, 55, 103, 151, 15, 63, 111, 159, 26, 74, 122, 170, 39, 87, 135, 183, 30, 78, 126, 174, 18, 66, 114, 162, 9, 57, 105, 153, 16, 64, 112, 160)(11, 59, 107, 155, 20, 68, 116, 164, 32, 80, 128, 176, 44, 92, 140, 188, 36, 84, 132, 180, 23, 71, 119, 167, 13, 61, 109, 157, 21, 69, 117, 165)(25, 73, 121, 169, 37, 85, 133, 181, 47, 95, 143, 191, 41, 89, 137, 185, 29, 77, 125, 173, 40, 88, 136, 184, 27, 75, 123, 171, 38, 86, 134, 182)(31, 79, 127, 175, 42, 90, 138, 186, 48, 96, 144, 192, 46, 94, 142, 190, 35, 83, 131, 179, 45, 93, 141, 189, 33, 81, 129, 177, 43, 91, 139, 187)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 60)(9, 52)(10, 62)(11, 53)(12, 56)(13, 54)(14, 58)(15, 73)(16, 75)(17, 74)(18, 77)(19, 78)(20, 79)(21, 81)(22, 80)(23, 83)(24, 84)(25, 63)(26, 65)(27, 64)(28, 82)(29, 66)(30, 67)(31, 68)(32, 70)(33, 69)(34, 76)(35, 71)(36, 72)(37, 90)(38, 91)(39, 95)(40, 93)(41, 94)(42, 85)(43, 86)(44, 96)(45, 88)(46, 89)(47, 87)(48, 92)(97, 146)(98, 145)(99, 151)(100, 153)(101, 155)(102, 157)(103, 147)(104, 156)(105, 148)(106, 158)(107, 149)(108, 152)(109, 150)(110, 154)(111, 169)(112, 171)(113, 170)(114, 173)(115, 174)(116, 175)(117, 177)(118, 176)(119, 179)(120, 180)(121, 159)(122, 161)(123, 160)(124, 178)(125, 162)(126, 163)(127, 164)(128, 166)(129, 165)(130, 172)(131, 167)(132, 168)(133, 186)(134, 187)(135, 191)(136, 189)(137, 190)(138, 181)(139, 182)(140, 192)(141, 184)(142, 185)(143, 183)(144, 188)
	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 E19.946
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 54
	degree seq :: [ 32^6 ]

E19.956 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
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 * Y1, R * Y2 * R * Y1, (R * Y3)^2, (Y3^2 * Y1)^2, Y3^8, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 17, 65, 113, 161, 28, 76, 124, 172, 19, 67, 115, 163, 10, 58, 106, 154, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 12, 60, 108, 156, 22, 70, 118, 166, 34, 82, 130, 178, 24, 72, 120, 168, 14, 62, 110, 158, 6, 54, 102, 150)(7, 55, 103, 151, 15, 63, 111, 159, 9, 57, 105, 153, 18, 66, 114, 162, 30, 78, 126, 174, 40, 88, 136, 184, 27, 75, 123, 171, 16, 64, 112, 160)(11, 59, 107, 155, 20, 68, 116, 164, 13, 61, 109, 157, 23, 71, 119, 167, 36, 84, 132, 180, 45, 93, 141, 189, 33, 81, 129, 177, 21, 69, 117, 165)(25, 73, 121, 169, 37, 85, 133, 181, 26, 74, 122, 170, 39, 87, 135, 183, 47, 95, 143, 191, 41, 89, 137, 185, 29, 77, 125, 173, 38, 86, 134, 182)(31, 79, 127, 175, 42, 90, 138, 186, 32, 80, 128, 176, 44, 92, 140, 188, 48, 96, 144, 192, 46, 94, 142, 190, 35, 83, 131, 179, 43, 91, 139, 187)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 62)(9, 52)(10, 60)(11, 53)(12, 58)(13, 54)(14, 56)(15, 73)(16, 74)(17, 75)(18, 77)(19, 78)(20, 79)(21, 80)(22, 81)(23, 83)(24, 84)(25, 63)(26, 64)(27, 65)(28, 82)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 76)(35, 71)(36, 72)(37, 91)(38, 90)(39, 94)(40, 95)(41, 92)(42, 86)(43, 85)(44, 89)(45, 96)(46, 87)(47, 88)(48, 93)(97, 146)(98, 145)(99, 151)(100, 153)(101, 155)(102, 157)(103, 147)(104, 158)(105, 148)(106, 156)(107, 149)(108, 154)(109, 150)(110, 152)(111, 169)(112, 170)(113, 171)(114, 173)(115, 174)(116, 175)(117, 176)(118, 177)(119, 179)(120, 180)(121, 159)(122, 160)(123, 161)(124, 178)(125, 162)(126, 163)(127, 164)(128, 165)(129, 166)(130, 172)(131, 167)(132, 168)(133, 187)(134, 186)(135, 190)(136, 191)(137, 188)(138, 182)(139, 181)(140, 185)(141, 192)(142, 183)(143, 184)(144, 189)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.947
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 54
	degree seq :: [ 32^6 ]

E19.957 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
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 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y2 * Y3^-3, (Y3^2 * Y2)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 18, 66, 114, 162, 6, 54, 102, 150, 17, 65, 113, 161, 16, 64, 112, 160, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 21, 69, 117, 165, 10, 58, 106, 154, 3, 51, 99, 147, 9, 57, 105, 153, 24, 72, 120, 168, 8, 56, 104, 152)(11, 59, 107, 155, 25, 73, 121, 169, 14, 62, 110, 158, 28, 76, 124, 172, 12, 60, 108, 156, 27, 75, 123, 171, 15, 63, 111, 159, 26, 74, 122, 170)(19, 67, 115, 163, 29, 77, 125, 173, 22, 70, 118, 166, 32, 80, 128, 176, 20, 68, 116, 164, 31, 79, 127, 175, 23, 71, 119, 167, 30, 78, 126, 174)(33, 81, 129, 177, 41, 89, 137, 185, 35, 83, 131, 179, 44, 92, 140, 188, 34, 82, 130, 178, 43, 91, 139, 187, 36, 84, 132, 180, 42, 90, 138, 186)(37, 85, 133, 181, 45, 93, 141, 189, 39, 87, 135, 183, 48, 96, 144, 192, 38, 86, 134, 182, 47, 95, 143, 191, 40, 88, 136, 184, 46, 94, 142, 190)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 67)(8, 70)(9, 68)(10, 71)(11, 52)(12, 65)(13, 72)(14, 53)(15, 66)(16, 69)(17, 60)(18, 63)(19, 55)(20, 57)(21, 64)(22, 56)(23, 58)(24, 61)(25, 81)(26, 83)(27, 82)(28, 84)(29, 85)(30, 87)(31, 86)(32, 88)(33, 73)(34, 75)(35, 74)(36, 76)(37, 77)(38, 79)(39, 78)(40, 80)(41, 94)(42, 93)(43, 96)(44, 95)(45, 90)(46, 89)(47, 92)(48, 91)(97, 147)(98, 150)(99, 145)(100, 156)(101, 159)(102, 146)(103, 164)(104, 167)(105, 163)(106, 166)(107, 161)(108, 148)(109, 165)(110, 162)(111, 149)(112, 168)(113, 155)(114, 158)(115, 153)(116, 151)(117, 157)(118, 154)(119, 152)(120, 160)(121, 178)(122, 180)(123, 177)(124, 179)(125, 182)(126, 184)(127, 181)(128, 183)(129, 171)(130, 169)(131, 172)(132, 170)(133, 175)(134, 173)(135, 176)(136, 174)(137, 192)(138, 191)(139, 190)(140, 189)(141, 188)(142, 187)(143, 186)(144, 185)
	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 E19.948
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 54
	degree seq :: [ 32^6 ]

E19.958 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-3 * Y1 * Y2 * Y3^-1, Y3^-2 * Y2 * Y3^2 * Y2, Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 18, 66, 114, 162, 6, 54, 102, 150, 17, 65, 113, 161, 16, 64, 112, 160, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 21, 69, 117, 165, 10, 58, 106, 154, 3, 51, 99, 147, 9, 57, 105, 153, 24, 72, 120, 168, 8, 56, 104, 152)(11, 59, 107, 155, 25, 73, 121, 169, 15, 63, 111, 159, 28, 76, 124, 172, 12, 60, 108, 156, 27, 75, 123, 171, 14, 62, 110, 158, 26, 74, 122, 170)(19, 67, 115, 163, 29, 77, 125, 173, 23, 71, 119, 167, 32, 80, 128, 176, 20, 68, 116, 164, 31, 79, 127, 175, 22, 70, 118, 166, 30, 78, 126, 174)(33, 81, 129, 177, 41, 89, 137, 185, 36, 84, 132, 180, 44, 92, 140, 188, 34, 82, 130, 178, 43, 91, 139, 187, 35, 83, 131, 179, 42, 90, 138, 186)(37, 85, 133, 181, 45, 93, 141, 189, 40, 88, 136, 184, 48, 96, 144, 192, 38, 86, 134, 182, 47, 95, 143, 191, 39, 87, 135, 183, 46, 94, 142, 190)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 67)(8, 70)(9, 68)(10, 71)(11, 52)(12, 65)(13, 69)(14, 53)(15, 66)(16, 72)(17, 60)(18, 63)(19, 55)(20, 57)(21, 61)(22, 56)(23, 58)(24, 64)(25, 81)(26, 83)(27, 82)(28, 84)(29, 85)(30, 87)(31, 86)(32, 88)(33, 73)(34, 75)(35, 74)(36, 76)(37, 77)(38, 79)(39, 78)(40, 80)(41, 93)(42, 94)(43, 95)(44, 96)(45, 89)(46, 90)(47, 91)(48, 92)(97, 147)(98, 150)(99, 145)(100, 156)(101, 159)(102, 146)(103, 164)(104, 167)(105, 163)(106, 166)(107, 161)(108, 148)(109, 168)(110, 162)(111, 149)(112, 165)(113, 155)(114, 158)(115, 153)(116, 151)(117, 160)(118, 154)(119, 152)(120, 157)(121, 178)(122, 180)(123, 177)(124, 179)(125, 182)(126, 184)(127, 181)(128, 183)(129, 171)(130, 169)(131, 172)(132, 170)(133, 175)(134, 173)(135, 176)(136, 174)(137, 191)(138, 192)(139, 189)(140, 190)(141, 187)(142, 188)(143, 185)(144, 186)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.949
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 54
	degree seq :: [ 32^6 ]

E19.959 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = C2 x C8 x S3 (small group id <96, 106>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-2, Y3 * Y1^2 * Y3 * Y1^-2, Y2^8, Y1^8, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(9, 57, 105, 153, 18, 66, 114, 162)(10, 58, 106, 154, 19, 67, 115, 163)(11, 59, 107, 155, 21, 69, 117, 165)(13, 61, 109, 157, 23, 71, 119, 167)(14, 62, 110, 158, 24, 72, 120, 168)(15, 63, 111, 159, 25, 73, 121, 169)(17, 65, 113, 161, 27, 75, 123, 171)(20, 68, 116, 164, 31, 79, 127, 175)(22, 70, 118, 166, 33, 81, 129, 177)(26, 74, 122, 170, 37, 85, 133, 181)(28, 76, 124, 172, 39, 87, 135, 183)(29, 77, 125, 173, 40, 88, 136, 184)(30, 78, 126, 174, 41, 89, 137, 185)(32, 80, 128, 176, 42, 90, 138, 186)(34, 82, 130, 178, 44, 92, 140, 188)(35, 83, 131, 179, 45, 93, 141, 189)(36, 84, 132, 180, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(43, 91, 139, 187, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 62)(9, 60)(10, 52)(11, 68)(12, 70)(13, 69)(14, 54)(15, 55)(16, 58)(17, 56)(18, 76)(19, 77)(20, 63)(21, 80)(22, 79)(23, 82)(24, 83)(25, 65)(26, 64)(27, 84)(28, 81)(29, 66)(30, 67)(31, 74)(32, 73)(33, 91)(34, 90)(35, 71)(36, 72)(37, 78)(38, 75)(39, 92)(40, 93)(41, 94)(42, 86)(43, 85)(44, 96)(45, 87)(46, 88)(47, 89)(48, 95)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 159)(104, 161)(105, 148)(106, 160)(107, 149)(108, 153)(109, 150)(110, 152)(111, 164)(112, 170)(113, 169)(114, 173)(115, 174)(116, 155)(117, 157)(118, 156)(119, 179)(120, 180)(121, 176)(122, 175)(123, 182)(124, 162)(125, 163)(126, 181)(127, 166)(128, 165)(129, 172)(130, 167)(131, 168)(132, 171)(133, 187)(134, 186)(135, 189)(136, 190)(137, 191)(138, 178)(139, 177)(140, 183)(141, 184)(142, 185)(143, 192)(144, 188)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.950
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.960 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = (C8 : C2) x S3 (small group id <96, 113>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-3, (Y2^-1 * Y1^-1)^2, Y2 * Y1^2 * Y2, (Y1^-1, Y2^-1), R * Y1 * R * Y2, Y1^-2 * Y2 * Y1^-1, (R * Y3)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 11, 59, 107, 155)(5, 53, 101, 149, 16, 64, 112, 160)(6, 54, 102, 150, 17, 65, 113, 161)(7, 55, 103, 151, 18, 66, 114, 162)(8, 56, 104, 152, 19, 67, 115, 163)(10, 58, 106, 154, 24, 72, 120, 168)(12, 60, 108, 156, 25, 73, 121, 169)(13, 61, 109, 157, 26, 74, 122, 170)(14, 62, 110, 158, 27, 75, 123, 171)(15, 63, 111, 159, 28, 76, 124, 172)(20, 68, 116, 164, 29, 77, 125, 173)(21, 69, 117, 165, 30, 78, 126, 174)(22, 70, 118, 166, 31, 79, 127, 175)(23, 71, 119, 167, 32, 80, 128, 176)(33, 81, 129, 177, 41, 89, 137, 185)(34, 82, 130, 178, 42, 90, 138, 186)(35, 83, 131, 179, 43, 91, 139, 187)(36, 84, 132, 180, 44, 92, 140, 188)(37, 85, 133, 181, 45, 93, 141, 189)(38, 86, 134, 182, 46, 94, 142, 190)(39, 87, 135, 183, 47, 95, 143, 191)(40, 88, 136, 184, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 60)(5, 49)(6, 58)(7, 51)(8, 54)(9, 68)(10, 53)(11, 69)(12, 66)(13, 67)(14, 52)(15, 72)(16, 70)(17, 71)(18, 61)(19, 63)(20, 59)(21, 65)(22, 57)(23, 64)(24, 62)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 74)(34, 76)(35, 73)(36, 75)(37, 78)(38, 80)(39, 77)(40, 79)(41, 93)(42, 94)(43, 95)(44, 96)(45, 90)(46, 92)(47, 89)(48, 91)(97, 147)(98, 152)(99, 154)(100, 157)(101, 151)(102, 145)(103, 150)(104, 149)(105, 165)(106, 146)(107, 167)(108, 163)(109, 168)(110, 162)(111, 148)(112, 164)(113, 166)(114, 159)(115, 158)(116, 161)(117, 160)(118, 155)(119, 153)(120, 156)(121, 178)(122, 180)(123, 177)(124, 179)(125, 182)(126, 184)(127, 181)(128, 183)(129, 172)(130, 171)(131, 170)(132, 169)(133, 176)(134, 175)(135, 174)(136, 173)(137, 190)(138, 192)(139, 189)(140, 191)(141, 188)(142, 187)(143, 186)(144, 185)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.951
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.961 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (C8 : C2) x S3 (small group id <96, 113>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1), Y2 * Y1^2 * Y2, (Y2^-1 * Y1^-1)^2, Y1^-2 * Y2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y1^-2 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 11, 59, 107, 155)(5, 53, 101, 149, 16, 64, 112, 160)(6, 54, 102, 150, 17, 65, 113, 161)(7, 55, 103, 151, 18, 66, 114, 162)(8, 56, 104, 152, 19, 67, 115, 163)(10, 58, 106, 154, 24, 72, 120, 168)(12, 60, 108, 156, 25, 73, 121, 169)(13, 61, 109, 157, 26, 74, 122, 170)(14, 62, 110, 158, 27, 75, 123, 171)(15, 63, 111, 159, 28, 76, 124, 172)(20, 68, 116, 164, 29, 77, 125, 173)(21, 69, 117, 165, 30, 78, 126, 174)(22, 70, 118, 166, 31, 79, 127, 175)(23, 71, 119, 167, 32, 80, 128, 176)(33, 81, 129, 177, 41, 89, 137, 185)(34, 82, 130, 178, 42, 90, 138, 186)(35, 83, 131, 179, 43, 91, 139, 187)(36, 84, 132, 180, 44, 92, 140, 188)(37, 85, 133, 181, 45, 93, 141, 189)(38, 86, 134, 182, 46, 94, 142, 190)(39, 87, 135, 183, 47, 95, 143, 191)(40, 88, 136, 184, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 60)(5, 49)(6, 58)(7, 51)(8, 54)(9, 68)(10, 53)(11, 69)(12, 66)(13, 67)(14, 52)(15, 72)(16, 70)(17, 71)(18, 61)(19, 63)(20, 59)(21, 65)(22, 57)(23, 64)(24, 62)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 74)(34, 76)(35, 73)(36, 75)(37, 78)(38, 80)(39, 77)(40, 79)(41, 96)(42, 95)(43, 94)(44, 93)(45, 91)(46, 89)(47, 92)(48, 90)(97, 147)(98, 152)(99, 154)(100, 157)(101, 151)(102, 145)(103, 150)(104, 149)(105, 165)(106, 146)(107, 167)(108, 163)(109, 168)(110, 162)(111, 148)(112, 164)(113, 166)(114, 159)(115, 158)(116, 161)(117, 160)(118, 155)(119, 153)(120, 156)(121, 178)(122, 180)(123, 177)(124, 179)(125, 182)(126, 184)(127, 181)(128, 183)(129, 172)(130, 171)(131, 170)(132, 169)(133, 176)(134, 175)(135, 174)(136, 173)(137, 191)(138, 189)(139, 192)(140, 190)(141, 185)(142, 186)(143, 187)(144, 188)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.952
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.962 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
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, Y3 * Y1^-1 * Y3 * Y2, R * Y2 * R * Y1, Y2^-2 * Y1^-2, (R * Y3)^2, (Y3 * Y2^-2)^2, (Y2^-1 * Y1^-1)^3, Y2^-2 * Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 13, 61, 109, 157)(5, 53, 101, 149, 16, 64, 112, 160)(6, 54, 102, 150, 15, 63, 111, 159)(7, 55, 103, 151, 20, 68, 116, 164)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 25, 73, 121, 169)(11, 59, 107, 155, 27, 75, 123, 171)(12, 60, 108, 156, 29, 77, 125, 173)(14, 62, 110, 158, 31, 79, 127, 175)(17, 65, 113, 161, 34, 82, 130, 178)(18, 66, 114, 162, 33, 81, 129, 177)(19, 67, 115, 163, 36, 84, 132, 180)(21, 69, 117, 165, 38, 86, 134, 182)(22, 70, 118, 166, 40, 88, 136, 184)(24, 72, 120, 168, 41, 89, 137, 185)(26, 74, 122, 170, 42, 90, 138, 186)(28, 76, 124, 172, 43, 91, 139, 187)(30, 78, 126, 174, 44, 92, 140, 188)(32, 80, 128, 176, 45, 93, 141, 189)(35, 83, 131, 179, 46, 94, 142, 190)(37, 85, 133, 181, 47, 95, 143, 191)(39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 59)(4, 61)(5, 49)(6, 66)(7, 67)(8, 70)(9, 71)(10, 74)(11, 54)(12, 53)(13, 77)(14, 51)(15, 52)(16, 82)(17, 72)(18, 69)(19, 83)(20, 63)(21, 87)(22, 58)(23, 64)(24, 56)(25, 57)(26, 85)(27, 89)(28, 62)(29, 91)(30, 60)(31, 93)(32, 65)(33, 88)(34, 92)(35, 78)(36, 73)(37, 80)(38, 68)(39, 76)(40, 75)(41, 79)(42, 81)(43, 94)(44, 95)(45, 96)(46, 86)(47, 84)(48, 90)(97, 147)(98, 152)(99, 156)(100, 153)(101, 161)(102, 145)(103, 150)(104, 149)(105, 164)(106, 146)(107, 168)(108, 172)(109, 171)(110, 176)(111, 177)(112, 148)(113, 174)(114, 166)(115, 154)(116, 180)(117, 151)(118, 155)(119, 184)(120, 158)(121, 186)(122, 162)(123, 159)(124, 179)(125, 160)(126, 181)(127, 157)(128, 183)(129, 182)(130, 185)(131, 165)(132, 190)(133, 163)(134, 192)(135, 170)(136, 169)(137, 167)(138, 191)(139, 175)(140, 173)(141, 178)(142, 188)(143, 189)(144, 187)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.953
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.963 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = QD16 x S3 (small group id <96, 120>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2^-2 * Y3 * Y1^2, Y3 * Y1^-3 * Y3 * Y2^-1, (Y2^-1 * Y1^-1)^3, (Y1 * Y3 * Y2^-1)^2, (Y2 * Y3 * Y1)^2, Y2^8, (Y3 * Y2 * Y3 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 13, 61, 109, 157)(5, 53, 101, 149, 20, 68, 116, 164)(6, 54, 102, 150, 22, 70, 118, 166)(7, 55, 103, 151, 24, 72, 120, 168)(8, 56, 104, 152, 27, 75, 123, 171)(10, 58, 106, 154, 34, 82, 130, 178)(11, 59, 107, 155, 35, 83, 131, 179)(12, 60, 108, 156, 30, 78, 126, 174)(14, 62, 110, 158, 41, 89, 137, 185)(15, 63, 111, 159, 25, 73, 121, 169)(16, 64, 112, 160, 37, 85, 133, 181)(17, 65, 113, 161, 36, 84, 132, 180)(18, 66, 114, 162, 23, 71, 119, 167)(19, 67, 115, 163, 31, 79, 127, 175)(21, 69, 117, 165, 39, 87, 135, 183)(26, 74, 122, 170, 45, 93, 141, 189)(28, 76, 124, 172, 48, 96, 144, 192)(29, 77, 125, 173, 43, 91, 139, 187)(32, 80, 128, 176, 42, 90, 138, 186)(33, 81, 129, 177, 47, 95, 143, 191)(38, 86, 134, 182, 44, 92, 140, 188)(40, 88, 136, 184, 46, 94, 142, 190)
	L = (1, 50)(2, 55)(3, 59)(4, 63)(5, 49)(6, 69)(7, 71)(8, 74)(9, 77)(10, 81)(11, 54)(12, 53)(13, 72)(14, 51)(15, 78)(16, 75)(17, 52)(18, 79)(19, 76)(20, 82)(21, 73)(22, 80)(23, 90)(24, 65)(25, 92)(26, 58)(27, 66)(28, 56)(29, 68)(30, 70)(31, 57)(32, 61)(33, 91)(34, 64)(35, 95)(36, 62)(37, 60)(38, 96)(39, 94)(40, 67)(41, 93)(42, 85)(43, 88)(44, 84)(45, 86)(46, 83)(47, 89)(48, 87)(97, 147)(98, 152)(99, 156)(100, 160)(101, 163)(102, 145)(103, 150)(104, 149)(105, 174)(106, 146)(107, 172)(108, 180)(109, 182)(110, 184)(111, 179)(112, 168)(113, 183)(114, 148)(115, 181)(116, 176)(117, 170)(118, 185)(119, 154)(120, 164)(121, 151)(122, 155)(123, 190)(124, 158)(125, 189)(126, 162)(127, 191)(128, 153)(129, 165)(130, 192)(131, 161)(132, 186)(133, 187)(134, 166)(135, 157)(136, 188)(137, 159)(138, 169)(139, 167)(140, 177)(141, 175)(142, 178)(143, 171)(144, 173)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.954
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.964 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y2^8, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 12, 60)(10, 58, 14, 62)(15, 63, 25, 73)(16, 64, 27, 75)(17, 65, 26, 74)(18, 66, 29, 77)(19, 67, 30, 78)(20, 68, 31, 79)(21, 69, 33, 81)(22, 70, 32, 80)(23, 71, 35, 83)(24, 72, 36, 84)(28, 76, 34, 82)(37, 85, 42, 90)(38, 86, 43, 91)(39, 87, 47, 95)(40, 88, 45, 93)(41, 89, 46, 94)(44, 92, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 124, 172, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 130, 178, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 122, 170, 135, 183, 126, 174, 114, 162, 105, 153, 112, 160)(107, 155, 116, 164, 128, 176, 140, 188, 132, 180, 119, 167, 109, 157, 117, 165)(121, 169, 133, 181, 143, 191, 137, 185, 125, 173, 136, 184, 123, 171, 134, 182)(127, 175, 138, 186, 144, 192, 142, 190, 131, 179, 141, 189, 129, 177, 139, 187)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.965 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 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, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, Y2^8, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 14, 62)(10, 58, 12, 60)(15, 63, 25, 73)(16, 64, 26, 74)(17, 65, 27, 75)(18, 66, 29, 77)(19, 67, 30, 78)(20, 68, 31, 79)(21, 69, 32, 80)(22, 70, 33, 81)(23, 71, 35, 83)(24, 72, 36, 84)(28, 76, 34, 82)(37, 85, 43, 91)(38, 86, 42, 90)(39, 87, 46, 94)(40, 88, 47, 95)(41, 89, 44, 92)(45, 93, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 124, 172, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 130, 178, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 105, 153, 114, 162, 126, 174, 136, 184, 123, 171, 112, 160)(107, 155, 116, 164, 109, 157, 119, 167, 132, 180, 141, 189, 129, 177, 117, 165)(121, 169, 133, 181, 122, 170, 135, 183, 143, 191, 137, 185, 125, 173, 134, 182)(127, 175, 138, 186, 128, 176, 140, 188, 144, 192, 142, 190, 131, 179, 139, 187)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.966 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^4 * Y3, Y1 * Y2^2 * Y1 * Y2^-2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 16, 64)(11, 59, 22, 70)(12, 60, 24, 72)(14, 62, 20, 68)(17, 65, 27, 75)(18, 66, 29, 77)(21, 69, 31, 79)(23, 71, 33, 81)(25, 73, 34, 82)(26, 74, 35, 83)(28, 76, 37, 85)(30, 78, 38, 86)(32, 80, 41, 89)(36, 84, 46, 94)(39, 87, 44, 92)(40, 88, 45, 93)(42, 90, 47, 95)(43, 91, 48, 96)(97, 145, 99, 147, 106, 154, 108, 156, 100, 148, 107, 155, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 114, 162, 103, 151, 113, 161, 116, 164, 104, 152)(105, 153, 117, 165, 120, 168, 128, 176, 118, 166, 121, 169, 109, 157, 119, 167)(111, 159, 122, 170, 125, 173, 132, 180, 123, 171, 126, 174, 115, 163, 124, 172)(127, 175, 135, 183, 137, 185, 139, 187, 130, 178, 138, 186, 129, 177, 136, 184)(131, 179, 140, 188, 142, 190, 144, 192, 134, 182, 143, 191, 133, 181, 141, 189)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 110)(11, 99)(12, 101)(13, 120)(14, 106)(15, 123)(16, 116)(17, 102)(18, 104)(19, 125)(20, 112)(21, 121)(22, 105)(23, 128)(24, 109)(25, 117)(26, 126)(27, 111)(28, 132)(29, 115)(30, 122)(31, 130)(32, 119)(33, 137)(34, 127)(35, 134)(36, 124)(37, 142)(38, 131)(39, 138)(40, 139)(41, 129)(42, 135)(43, 136)(44, 143)(45, 144)(46, 133)(47, 140)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.967 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, (R * Y1)^2, Y3 * Y2^-4, (Y1 * Y2^-2)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * 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, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 20, 68)(11, 59, 22, 70)(12, 60, 24, 72)(14, 62, 16, 64)(17, 65, 27, 75)(18, 66, 29, 77)(21, 69, 31, 79)(23, 71, 33, 81)(25, 73, 34, 82)(26, 74, 35, 83)(28, 76, 37, 85)(30, 78, 38, 86)(32, 80, 40, 88)(36, 84, 45, 93)(39, 87, 46, 94)(41, 89, 44, 92)(42, 90, 48, 96)(43, 91, 47, 95)(97, 145, 99, 147, 106, 154, 108, 156, 100, 148, 107, 155, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 114, 162, 103, 151, 113, 161, 116, 164, 104, 152)(105, 153, 117, 165, 109, 157, 121, 169, 118, 166, 128, 176, 120, 168, 119, 167)(111, 159, 122, 170, 115, 163, 126, 174, 123, 171, 132, 180, 125, 173, 124, 172)(127, 175, 135, 183, 129, 177, 138, 186, 136, 184, 139, 187, 130, 178, 137, 185)(131, 179, 140, 188, 133, 181, 143, 191, 141, 189, 144, 192, 134, 182, 142, 190)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 110)(11, 99)(12, 101)(13, 120)(14, 106)(15, 123)(16, 116)(17, 102)(18, 104)(19, 125)(20, 112)(21, 128)(22, 105)(23, 121)(24, 109)(25, 119)(26, 132)(27, 111)(28, 126)(29, 115)(30, 124)(31, 136)(32, 117)(33, 130)(34, 129)(35, 141)(36, 122)(37, 134)(38, 133)(39, 139)(40, 127)(41, 138)(42, 137)(43, 135)(44, 144)(45, 131)(46, 143)(47, 142)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.968 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y1 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-2 * R)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 16, 64)(6, 54, 8, 56)(7, 55, 13, 61)(9, 57, 17, 65)(12, 60, 19, 67)(14, 62, 20, 68)(15, 63, 21, 69)(18, 66, 22, 70)(23, 71, 25, 73)(24, 72, 35, 83)(26, 74, 32, 80)(27, 75, 28, 76)(29, 77, 33, 81)(30, 78, 40, 88)(31, 79, 37, 85)(34, 82, 41, 89)(36, 84, 42, 90)(38, 86, 43, 91)(39, 87, 44, 92)(45, 93, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 108, 156, 120, 168, 132, 180, 126, 174, 114, 162, 101, 149)(98, 146, 103, 151, 115, 163, 127, 175, 138, 186, 130, 178, 118, 166, 105, 153)(100, 148, 110, 158, 121, 169, 134, 182, 142, 190, 135, 183, 123, 171, 111, 159)(102, 150, 109, 157, 122, 170, 133, 181, 143, 191, 137, 185, 125, 173, 113, 161)(104, 152, 116, 164, 128, 176, 139, 187, 144, 192, 140, 188, 129, 177, 117, 165)(106, 154, 107, 155, 119, 167, 131, 179, 141, 189, 136, 184, 124, 172, 112, 160)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 113)(6, 97)(7, 107)(8, 106)(9, 112)(10, 98)(11, 116)(12, 121)(13, 110)(14, 99)(15, 101)(16, 117)(17, 111)(18, 123)(19, 128)(20, 103)(21, 105)(22, 129)(23, 115)(24, 133)(25, 122)(26, 108)(27, 125)(28, 118)(29, 114)(30, 137)(31, 131)(32, 119)(33, 124)(34, 136)(35, 139)(36, 142)(37, 134)(38, 120)(39, 126)(40, 140)(41, 135)(42, 144)(43, 127)(44, 130)(45, 138)(46, 143)(47, 132)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.969 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2, (Y1 * Y3)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 15, 63)(6, 54, 8, 56)(7, 55, 16, 64)(9, 57, 20, 68)(12, 60, 22, 70)(13, 61, 18, 66)(14, 62, 24, 72)(17, 65, 27, 75)(19, 67, 29, 77)(21, 69, 31, 79)(23, 71, 33, 81)(25, 73, 34, 82)(26, 74, 35, 83)(28, 76, 37, 85)(30, 78, 38, 86)(32, 80, 41, 89)(36, 84, 46, 94)(39, 87, 45, 93)(40, 88, 44, 92)(42, 90, 48, 96)(43, 91, 47, 95)(97, 145, 99, 147, 102, 150, 108, 156, 109, 157, 110, 158, 100, 148, 101, 149)(98, 146, 103, 151, 106, 154, 113, 161, 114, 162, 115, 163, 104, 152, 105, 153)(107, 155, 117, 165, 111, 159, 121, 169, 120, 168, 128, 176, 118, 166, 119, 167)(112, 160, 122, 170, 116, 164, 126, 174, 125, 173, 132, 180, 123, 171, 124, 172)(127, 175, 135, 183, 129, 177, 138, 186, 137, 185, 139, 187, 130, 178, 136, 184)(131, 179, 140, 188, 133, 181, 143, 191, 142, 190, 144, 192, 134, 182, 141, 189)
	L = (1, 100)(2, 104)(3, 101)(4, 109)(5, 110)(6, 97)(7, 105)(8, 114)(9, 115)(10, 98)(11, 118)(12, 99)(13, 102)(14, 108)(15, 107)(16, 123)(17, 103)(18, 106)(19, 113)(20, 112)(21, 119)(22, 120)(23, 128)(24, 111)(25, 117)(26, 124)(27, 125)(28, 132)(29, 116)(30, 122)(31, 130)(32, 121)(33, 127)(34, 137)(35, 134)(36, 126)(37, 131)(38, 142)(39, 136)(40, 139)(41, 129)(42, 135)(43, 138)(44, 141)(45, 144)(46, 133)(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) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.970 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, Y3^4, (Y1 * Y3^-1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, R * Y1 * Y2 * R * Y2^-1 * Y1 * Y3^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 14, 62)(6, 54, 8, 56)(7, 55, 16, 64)(9, 57, 19, 67)(12, 60, 23, 71)(13, 61, 18, 66)(15, 63, 25, 73)(17, 65, 28, 76)(20, 68, 30, 78)(21, 69, 31, 79)(22, 70, 32, 80)(24, 72, 34, 82)(26, 74, 35, 83)(27, 75, 36, 84)(29, 77, 38, 86)(33, 81, 42, 90)(37, 85, 47, 95)(39, 87, 45, 93)(40, 88, 44, 92)(41, 89, 48, 96)(43, 91, 46, 94)(97, 145, 99, 147, 100, 148, 108, 156, 109, 157, 111, 159, 102, 150, 101, 149)(98, 146, 103, 151, 104, 152, 113, 161, 114, 162, 116, 164, 106, 154, 105, 153)(107, 155, 117, 165, 110, 158, 120, 168, 121, 169, 129, 177, 119, 167, 118, 166)(112, 160, 122, 170, 115, 163, 125, 173, 126, 174, 133, 181, 124, 172, 123, 171)(127, 175, 135, 183, 128, 176, 137, 185, 138, 186, 139, 187, 130, 178, 136, 184)(131, 179, 140, 188, 132, 180, 142, 190, 143, 191, 144, 192, 134, 182, 141, 189)
	L = (1, 100)(2, 104)(3, 108)(4, 109)(5, 99)(6, 97)(7, 113)(8, 114)(9, 103)(10, 98)(11, 110)(12, 111)(13, 102)(14, 121)(15, 101)(16, 115)(17, 116)(18, 106)(19, 126)(20, 105)(21, 120)(22, 117)(23, 107)(24, 129)(25, 119)(26, 125)(27, 122)(28, 112)(29, 133)(30, 124)(31, 128)(32, 138)(33, 118)(34, 127)(35, 132)(36, 143)(37, 123)(38, 131)(39, 137)(40, 135)(41, 139)(42, 130)(43, 136)(44, 142)(45, 140)(46, 144)(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) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.971 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y3^6, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1, (Y2^-2 * R)^2, Y2^2 * Y1 * Y2 * Y1 * Y3^-1 * Y2, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 21, 69)(9, 57, 27, 75)(12, 60, 22, 70)(13, 61, 32, 80)(14, 62, 24, 72)(15, 63, 30, 78)(16, 64, 26, 74)(18, 66, 40, 88)(19, 67, 29, 77)(20, 68, 25, 73)(23, 71, 43, 91)(28, 76, 33, 81)(31, 79, 38, 86)(34, 82, 39, 87)(35, 83, 44, 92)(36, 84, 45, 93)(37, 85, 46, 94)(41, 89, 48, 96)(42, 90, 47, 95)(97, 145, 99, 147, 108, 156, 129, 177, 133, 181, 139, 187, 115, 163, 101, 149)(98, 146, 103, 151, 118, 166, 136, 184, 142, 190, 128, 176, 125, 173, 105, 153)(100, 148, 110, 158, 130, 178, 137, 185, 116, 164, 132, 180, 134, 182, 112, 160)(102, 150, 109, 157, 131, 179, 123, 171, 111, 159, 117, 165, 138, 186, 114, 162)(104, 152, 120, 168, 140, 188, 144, 192, 126, 174, 141, 189, 143, 191, 122, 170)(106, 154, 119, 167, 135, 183, 113, 161, 121, 169, 107, 155, 127, 175, 124, 172)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 119)(8, 121)(9, 124)(10, 98)(11, 120)(12, 130)(13, 132)(14, 99)(15, 133)(16, 101)(17, 122)(18, 137)(19, 134)(20, 102)(21, 110)(22, 140)(23, 141)(24, 103)(25, 142)(26, 105)(27, 112)(28, 144)(29, 143)(30, 106)(31, 125)(32, 107)(33, 123)(34, 138)(35, 108)(36, 139)(37, 116)(38, 131)(39, 118)(40, 113)(41, 129)(42, 115)(43, 117)(44, 127)(45, 128)(46, 126)(47, 135)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.972 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y1)^2, R * Y3 * R * Y2, Y3 * Y1^4 * Y2, Y1^-1 * Y2 * Y1^-2 * Y3 * Y1^-1, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 65, 17, 58, 10, 69, 21, 64, 16, 53, 5, 49)(3, 57, 9, 66, 18, 61, 13, 52, 4, 60, 12, 67, 19, 59, 11, 51)(7, 68, 20, 63, 15, 72, 24, 56, 8, 71, 23, 62, 14, 70, 22, 55)(25, 81, 33, 76, 28, 84, 36, 74, 26, 83, 35, 75, 27, 82, 34, 73)(29, 85, 37, 80, 32, 88, 40, 78, 30, 87, 39, 79, 31, 86, 38, 77)(41, 94, 46, 92, 44, 95, 47, 90, 42, 93, 45, 91, 43, 96, 48, 89)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 25)(11, 27)(12, 26)(13, 28)(15, 17)(16, 19)(20, 29)(22, 31)(23, 30)(24, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 67)(55, 69)(57, 74)(59, 76)(60, 73)(61, 75)(62, 65)(64, 66)(68, 78)(70, 80)(71, 77)(72, 79)(81, 90)(82, 92)(83, 89)(84, 91)(85, 94)(86, 96)(87, 93)(88, 95)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.973 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y2 * R * Y3, (R * Y1)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^8, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 50, 2, 53, 5, 59, 11, 68, 20, 67, 19, 58, 10, 52, 4, 49)(3, 55, 7, 60, 12, 70, 22, 79, 31, 76, 28, 65, 17, 56, 8, 51)(6, 61, 13, 69, 21, 80, 32, 78, 30, 66, 18, 57, 9, 62, 14, 54)(15, 73, 25, 81, 33, 91, 43, 88, 40, 75, 27, 64, 16, 74, 26, 63)(23, 82, 34, 90, 42, 89, 41, 77, 29, 84, 36, 72, 24, 83, 35, 71)(37, 94, 46, 96, 48, 93, 45, 87, 39, 92, 44, 86, 38, 95, 47, 85)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 31)(22, 33)(25, 37)(26, 38)(27, 39)(28, 40)(32, 42)(34, 44)(35, 45)(36, 46)(41, 47)(43, 48)(49, 51)(50, 54)(52, 57)(53, 60)(55, 63)(56, 64)(58, 65)(59, 69)(61, 71)(62, 72)(66, 77)(67, 78)(68, 79)(70, 81)(73, 85)(74, 86)(75, 87)(76, 88)(80, 90)(82, 92)(83, 93)(84, 94)(89, 95)(91, 96)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.974 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y2 * R * Y3, (R * Y1)^2, (Y2 * Y1^-2)^2, Y1^8, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map::
	R = (1, 50, 2, 53, 5, 59, 11, 68, 20, 67, 19, 58, 10, 52, 4, 49)(3, 55, 7, 63, 15, 73, 25, 79, 31, 70, 22, 60, 12, 56, 8, 51)(6, 61, 13, 57, 9, 66, 18, 77, 29, 80, 32, 69, 21, 62, 14, 54)(16, 74, 26, 65, 17, 76, 28, 81, 33, 91, 43, 85, 37, 75, 27, 64)(23, 82, 34, 72, 24, 84, 36, 90, 42, 89, 41, 78, 30, 83, 35, 71)(38, 94, 46, 87, 39, 92, 44, 96, 48, 93, 45, 88, 40, 95, 47, 86)
	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, 47)(43, 48)(49, 51)(50, 54)(52, 57)(53, 60)(55, 64)(56, 65)(58, 63)(59, 69)(61, 71)(62, 72)(66, 78)(67, 77)(68, 79)(70, 81)(73, 85)(74, 86)(75, 87)(76, 88)(80, 90)(82, 92)(83, 93)(84, 94)(89, 95)(91, 96)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.975 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y1)^2, R * Y3 * R * Y2, Y1^-3 * Y3 * Y2 * Y1^-1, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 65, 17, 58, 10, 69, 21, 64, 16, 53, 5, 49)(3, 57, 9, 67, 19, 61, 13, 52, 4, 60, 12, 66, 18, 59, 11, 51)(7, 68, 20, 62, 14, 72, 24, 56, 8, 71, 23, 63, 15, 70, 22, 55)(25, 81, 33, 75, 27, 84, 36, 74, 26, 83, 35, 76, 28, 82, 34, 73)(29, 85, 37, 79, 31, 88, 40, 78, 30, 87, 39, 80, 32, 86, 38, 77)(41, 96, 48, 91, 43, 93, 45, 90, 42, 95, 47, 92, 44, 94, 46, 89)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 25)(11, 27)(12, 26)(13, 28)(15, 17)(16, 19)(20, 29)(22, 31)(23, 30)(24, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 67)(55, 69)(57, 74)(59, 76)(60, 73)(61, 75)(62, 65)(64, 66)(68, 78)(70, 80)(71, 77)(72, 79)(81, 90)(82, 92)(83, 89)(84, 91)(85, 94)(86, 96)(87, 93)(88, 95)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.976 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y3^-3 * Y2 * Y1 * Y3^-1, Y3^-2 * Y2 * Y3^2 * Y2, Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 18, 66, 6, 54, 17, 65, 16, 64, 5, 53)(2, 50, 7, 55, 21, 69, 10, 58, 3, 51, 9, 57, 24, 72, 8, 56)(11, 59, 25, 73, 15, 63, 28, 76, 12, 60, 27, 75, 14, 62, 26, 74)(19, 67, 29, 77, 23, 71, 32, 80, 20, 68, 31, 79, 22, 70, 30, 78)(33, 81, 41, 89, 36, 84, 44, 92, 34, 82, 43, 91, 35, 83, 42, 90)(37, 85, 45, 93, 40, 88, 48, 96, 38, 86, 47, 95, 39, 87, 46, 94)(97, 98)(99, 102)(100, 107)(101, 110)(103, 115)(104, 118)(105, 116)(106, 119)(108, 113)(109, 117)(111, 114)(112, 120)(121, 129)(122, 131)(123, 130)(124, 132)(125, 133)(126, 135)(127, 134)(128, 136)(137, 143)(138, 144)(139, 141)(140, 142)(145, 147)(146, 150)(148, 156)(149, 159)(151, 164)(152, 167)(153, 163)(154, 166)(155, 161)(157, 168)(158, 162)(160, 165)(169, 178)(170, 180)(171, 177)(172, 179)(173, 182)(174, 184)(175, 181)(176, 183)(185, 189)(186, 190)(187, 191)(188, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.983
Graph:: simple bipartite
	v = 54 e = 96 f = 6
	degree seq :: [ 2^48, 16^6 ]

E19.977 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^8, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 28, 76, 19, 67, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 22, 70, 34, 82, 24, 72, 14, 62, 6, 54)(7, 55, 15, 63, 26, 74, 39, 87, 30, 78, 18, 66, 9, 57, 16, 64)(11, 59, 20, 68, 32, 80, 44, 92, 36, 84, 23, 71, 13, 61, 21, 69)(25, 73, 37, 85, 47, 95, 41, 89, 29, 77, 40, 88, 27, 75, 38, 86)(31, 79, 42, 90, 48, 96, 46, 94, 35, 83, 45, 93, 33, 81, 43, 91)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 108)(106, 110)(111, 121)(112, 123)(113, 122)(114, 125)(115, 126)(116, 127)(117, 129)(118, 128)(119, 131)(120, 132)(124, 130)(133, 141)(134, 142)(135, 143)(136, 138)(137, 139)(140, 144)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 156)(154, 158)(159, 169)(160, 171)(161, 170)(162, 173)(163, 174)(164, 175)(165, 177)(166, 176)(167, 179)(168, 180)(172, 178)(181, 189)(182, 190)(183, 191)(184, 186)(185, 187)(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, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.984
Graph:: simple bipartite
	v = 54 e = 96 f = 6
	degree seq :: [ 2^48, 16^6 ]

E19.978 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y1 * Y3)^2, Y3^8, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 28, 76, 19, 67, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 22, 70, 34, 82, 24, 72, 14, 62, 6, 54)(7, 55, 15, 63, 9, 57, 18, 66, 30, 78, 40, 88, 27, 75, 16, 64)(11, 59, 20, 68, 13, 61, 23, 71, 36, 84, 45, 93, 33, 81, 21, 69)(25, 73, 37, 85, 26, 74, 39, 87, 47, 95, 41, 89, 29, 77, 38, 86)(31, 79, 42, 90, 32, 80, 44, 92, 48, 96, 46, 94, 35, 83, 43, 91)(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, 127)(117, 128)(118, 129)(119, 131)(120, 132)(124, 130)(133, 140)(134, 142)(135, 138)(136, 143)(137, 139)(141, 144)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 158)(154, 156)(159, 169)(160, 170)(161, 171)(162, 173)(163, 174)(164, 175)(165, 176)(166, 177)(167, 179)(168, 180)(172, 178)(181, 188)(182, 190)(183, 186)(184, 191)(185, 187)(189, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.985
Graph:: simple bipartite
	v = 54 e = 96 f = 6
	degree seq :: [ 2^48, 16^6 ]

E19.979 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y2 * Y1 * Y3^-3, Y3^-2 * Y1 * Y3^2 * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 18, 66, 6, 54, 17, 65, 16, 64, 5, 53)(2, 50, 7, 55, 21, 69, 10, 58, 3, 51, 9, 57, 24, 72, 8, 56)(11, 59, 25, 73, 14, 62, 28, 76, 12, 60, 27, 75, 15, 63, 26, 74)(19, 67, 29, 77, 22, 70, 32, 80, 20, 68, 31, 79, 23, 71, 30, 78)(33, 81, 41, 89, 35, 83, 44, 92, 34, 82, 43, 91, 36, 84, 42, 90)(37, 85, 45, 93, 39, 87, 48, 96, 38, 86, 47, 95, 40, 88, 46, 94)(97, 98)(99, 102)(100, 107)(101, 110)(103, 115)(104, 118)(105, 116)(106, 119)(108, 113)(109, 120)(111, 114)(112, 117)(121, 129)(122, 131)(123, 130)(124, 132)(125, 133)(126, 135)(127, 134)(128, 136)(137, 144)(138, 143)(139, 142)(140, 141)(145, 147)(146, 150)(148, 156)(149, 159)(151, 164)(152, 167)(153, 163)(154, 166)(155, 161)(157, 165)(158, 162)(160, 168)(169, 178)(170, 180)(171, 177)(172, 179)(173, 182)(174, 184)(175, 181)(176, 183)(185, 190)(186, 189)(187, 192)(188, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.986
Graph:: simple bipartite
	v = 54 e = 96 f = 6
	degree seq :: [ 2^48, 16^6 ]

E19.980 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = C2 x (C24 : C2) (small group id <96, 107>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y2, Y3 * Y2^2 * Y3 * Y2^-2, Y3 * Y1^2 * Y3 * Y1^-2, Y2^8, Y1^8, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 16, 64)(9, 57, 18, 66)(10, 58, 19, 67)(11, 59, 21, 69)(13, 61, 23, 71)(14, 62, 24, 72)(15, 63, 25, 73)(17, 65, 27, 75)(20, 68, 31, 79)(22, 70, 33, 81)(26, 74, 37, 85)(28, 76, 39, 87)(29, 77, 40, 88)(30, 78, 41, 89)(32, 80, 42, 90)(34, 82, 44, 92)(35, 83, 45, 93)(36, 84, 46, 94)(38, 86, 47, 95)(43, 91, 48, 96)(97, 98, 101, 107, 116, 111, 103, 99)(100, 105, 108, 118, 127, 122, 112, 106)(102, 109, 117, 128, 121, 113, 104, 110)(114, 124, 129, 139, 133, 126, 115, 125)(119, 130, 138, 134, 123, 132, 120, 131)(135, 142, 144, 141, 137, 140, 136, 143)(145, 147, 151, 159, 164, 155, 149, 146)(148, 154, 160, 170, 175, 166, 156, 153)(150, 158, 152, 161, 169, 176, 165, 157)(162, 173, 163, 174, 181, 187, 177, 172)(167, 179, 168, 180, 171, 182, 186, 178)(183, 191, 184, 188, 185, 189, 192, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.987
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.981 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^2 * Y1^-1, Y1^3 * Y2, Y2^-3 * Y1^-1, (Y2 * Y1^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y2^-1 * Y3 * Y2^-1)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 11, 59)(5, 53, 16, 64)(6, 54, 17, 65)(7, 55, 18, 66)(8, 56, 19, 67)(10, 58, 24, 72)(12, 60, 25, 73)(13, 61, 26, 74)(14, 62, 27, 75)(15, 63, 28, 76)(20, 68, 29, 77)(21, 69, 30, 78)(22, 70, 31, 79)(23, 71, 32, 80)(33, 81, 41, 89)(34, 82, 42, 90)(35, 83, 43, 91)(36, 84, 44, 92)(37, 85, 45, 93)(38, 86, 46, 94)(39, 87, 47, 95)(40, 88, 48, 96)(97, 98, 103, 102, 106, 99, 104, 101)(100, 108, 115, 111, 120, 109, 114, 110)(105, 116, 112, 119, 107, 117, 113, 118)(121, 129, 123, 132, 122, 130, 124, 131)(125, 133, 127, 136, 126, 134, 128, 135)(137, 143, 139, 142, 138, 144, 140, 141)(145, 147, 151, 149, 154, 146, 152, 150)(148, 157, 163, 158, 168, 156, 162, 159)(153, 165, 160, 166, 155, 164, 161, 167)(169, 178, 171, 179, 170, 177, 172, 180)(173, 182, 175, 183, 174, 181, 176, 184)(185, 192, 187, 189, 186, 191, 188, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.988
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.982 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1^-1 * Y3 * Y2^-1)^2, Y2^8, Y1^8, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51)(2, 50, 6, 54)(4, 52, 9, 57)(5, 53, 12, 60)(7, 55, 16, 64)(8, 56, 17, 65)(10, 58, 15, 63)(11, 59, 21, 69)(13, 61, 23, 71)(14, 62, 24, 72)(18, 66, 30, 78)(19, 67, 29, 77)(20, 68, 31, 79)(22, 70, 33, 81)(25, 73, 37, 85)(26, 74, 38, 86)(27, 75, 39, 87)(28, 76, 40, 88)(32, 80, 42, 90)(34, 82, 44, 92)(35, 83, 45, 93)(36, 84, 46, 94)(41, 89, 47, 95)(43, 91, 48, 96)(97, 98, 101, 107, 116, 115, 106, 100)(99, 103, 111, 121, 127, 118, 108, 104)(102, 109, 105, 114, 125, 128, 117, 110)(112, 122, 113, 124, 129, 139, 133, 123)(119, 130, 120, 132, 138, 137, 126, 131)(134, 142, 135, 140, 144, 141, 136, 143)(145, 146, 149, 155, 164, 163, 154, 148)(147, 151, 159, 169, 175, 166, 156, 152)(150, 157, 153, 162, 173, 176, 165, 158)(160, 170, 161, 172, 177, 187, 181, 171)(167, 178, 168, 180, 186, 185, 174, 179)(182, 190, 183, 188, 192, 189, 184, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.989
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.983 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y3^-3 * Y2 * Y1 * Y3^-1, Y3^-2 * Y2 * Y3^2 * Y2, Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 18, 66, 114, 162, 6, 54, 102, 150, 17, 65, 113, 161, 16, 64, 112, 160, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 21, 69, 117, 165, 10, 58, 106, 154, 3, 51, 99, 147, 9, 57, 105, 153, 24, 72, 120, 168, 8, 56, 104, 152)(11, 59, 107, 155, 25, 73, 121, 169, 15, 63, 111, 159, 28, 76, 124, 172, 12, 60, 108, 156, 27, 75, 123, 171, 14, 62, 110, 158, 26, 74, 122, 170)(19, 67, 115, 163, 29, 77, 125, 173, 23, 71, 119, 167, 32, 80, 128, 176, 20, 68, 116, 164, 31, 79, 127, 175, 22, 70, 118, 166, 30, 78, 126, 174)(33, 81, 129, 177, 41, 89, 137, 185, 36, 84, 132, 180, 44, 92, 140, 188, 34, 82, 130, 178, 43, 91, 139, 187, 35, 83, 131, 179, 42, 90, 138, 186)(37, 85, 133, 181, 45, 93, 141, 189, 40, 88, 136, 184, 48, 96, 144, 192, 38, 86, 134, 182, 47, 95, 143, 191, 39, 87, 135, 183, 46, 94, 142, 190)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 67)(8, 70)(9, 68)(10, 71)(11, 52)(12, 65)(13, 69)(14, 53)(15, 66)(16, 72)(17, 60)(18, 63)(19, 55)(20, 57)(21, 61)(22, 56)(23, 58)(24, 64)(25, 81)(26, 83)(27, 82)(28, 84)(29, 85)(30, 87)(31, 86)(32, 88)(33, 73)(34, 75)(35, 74)(36, 76)(37, 77)(38, 79)(39, 78)(40, 80)(41, 95)(42, 96)(43, 93)(44, 94)(45, 91)(46, 92)(47, 89)(48, 90)(97, 147)(98, 150)(99, 145)(100, 156)(101, 159)(102, 146)(103, 164)(104, 167)(105, 163)(106, 166)(107, 161)(108, 148)(109, 168)(110, 162)(111, 149)(112, 165)(113, 155)(114, 158)(115, 153)(116, 151)(117, 160)(118, 154)(119, 152)(120, 157)(121, 178)(122, 180)(123, 177)(124, 179)(125, 182)(126, 184)(127, 181)(128, 183)(129, 171)(130, 169)(131, 172)(132, 170)(133, 175)(134, 173)(135, 176)(136, 174)(137, 189)(138, 190)(139, 191)(140, 192)(141, 185)(142, 186)(143, 187)(144, 188)
	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 E19.976
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 54
	degree seq :: [ 32^6 ]

E19.984 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^8, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 17, 65, 113, 161, 28, 76, 124, 172, 19, 67, 115, 163, 10, 58, 106, 154, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 12, 60, 108, 156, 22, 70, 118, 166, 34, 82, 130, 178, 24, 72, 120, 168, 14, 62, 110, 158, 6, 54, 102, 150)(7, 55, 103, 151, 15, 63, 111, 159, 26, 74, 122, 170, 39, 87, 135, 183, 30, 78, 126, 174, 18, 66, 114, 162, 9, 57, 105, 153, 16, 64, 112, 160)(11, 59, 107, 155, 20, 68, 116, 164, 32, 80, 128, 176, 44, 92, 140, 188, 36, 84, 132, 180, 23, 71, 119, 167, 13, 61, 109, 157, 21, 69, 117, 165)(25, 73, 121, 169, 37, 85, 133, 181, 47, 95, 143, 191, 41, 89, 137, 185, 29, 77, 125, 173, 40, 88, 136, 184, 27, 75, 123, 171, 38, 86, 134, 182)(31, 79, 127, 175, 42, 90, 138, 186, 48, 96, 144, 192, 46, 94, 142, 190, 35, 83, 131, 179, 45, 93, 141, 189, 33, 81, 129, 177, 43, 91, 139, 187)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 60)(9, 52)(10, 62)(11, 53)(12, 56)(13, 54)(14, 58)(15, 73)(16, 75)(17, 74)(18, 77)(19, 78)(20, 79)(21, 81)(22, 80)(23, 83)(24, 84)(25, 63)(26, 65)(27, 64)(28, 82)(29, 66)(30, 67)(31, 68)(32, 70)(33, 69)(34, 76)(35, 71)(36, 72)(37, 93)(38, 94)(39, 95)(40, 90)(41, 91)(42, 88)(43, 89)(44, 96)(45, 85)(46, 86)(47, 87)(48, 92)(97, 146)(98, 145)(99, 151)(100, 153)(101, 155)(102, 157)(103, 147)(104, 156)(105, 148)(106, 158)(107, 149)(108, 152)(109, 150)(110, 154)(111, 169)(112, 171)(113, 170)(114, 173)(115, 174)(116, 175)(117, 177)(118, 176)(119, 179)(120, 180)(121, 159)(122, 161)(123, 160)(124, 178)(125, 162)(126, 163)(127, 164)(128, 166)(129, 165)(130, 172)(131, 167)(132, 168)(133, 189)(134, 190)(135, 191)(136, 186)(137, 187)(138, 184)(139, 185)(140, 192)(141, 181)(142, 182)(143, 183)(144, 188)
	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 E19.977
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 54
	degree seq :: [ 32^6 ]

E19.985 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y1 * Y3)^2, Y3^8, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 17, 65, 113, 161, 28, 76, 124, 172, 19, 67, 115, 163, 10, 58, 106, 154, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 12, 60, 108, 156, 22, 70, 118, 166, 34, 82, 130, 178, 24, 72, 120, 168, 14, 62, 110, 158, 6, 54, 102, 150)(7, 55, 103, 151, 15, 63, 111, 159, 9, 57, 105, 153, 18, 66, 114, 162, 30, 78, 126, 174, 40, 88, 136, 184, 27, 75, 123, 171, 16, 64, 112, 160)(11, 59, 107, 155, 20, 68, 116, 164, 13, 61, 109, 157, 23, 71, 119, 167, 36, 84, 132, 180, 45, 93, 141, 189, 33, 81, 129, 177, 21, 69, 117, 165)(25, 73, 121, 169, 37, 85, 133, 181, 26, 74, 122, 170, 39, 87, 135, 183, 47, 95, 143, 191, 41, 89, 137, 185, 29, 77, 125, 173, 38, 86, 134, 182)(31, 79, 127, 175, 42, 90, 138, 186, 32, 80, 128, 176, 44, 92, 140, 188, 48, 96, 144, 192, 46, 94, 142, 190, 35, 83, 131, 179, 43, 91, 139, 187)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 62)(9, 52)(10, 60)(11, 53)(12, 58)(13, 54)(14, 56)(15, 73)(16, 74)(17, 75)(18, 77)(19, 78)(20, 79)(21, 80)(22, 81)(23, 83)(24, 84)(25, 63)(26, 64)(27, 65)(28, 82)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 76)(35, 71)(36, 72)(37, 92)(38, 94)(39, 90)(40, 95)(41, 91)(42, 87)(43, 89)(44, 85)(45, 96)(46, 86)(47, 88)(48, 93)(97, 146)(98, 145)(99, 151)(100, 153)(101, 155)(102, 157)(103, 147)(104, 158)(105, 148)(106, 156)(107, 149)(108, 154)(109, 150)(110, 152)(111, 169)(112, 170)(113, 171)(114, 173)(115, 174)(116, 175)(117, 176)(118, 177)(119, 179)(120, 180)(121, 159)(122, 160)(123, 161)(124, 178)(125, 162)(126, 163)(127, 164)(128, 165)(129, 166)(130, 172)(131, 167)(132, 168)(133, 188)(134, 190)(135, 186)(136, 191)(137, 187)(138, 183)(139, 185)(140, 181)(141, 192)(142, 182)(143, 184)(144, 189)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.978
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 54
	degree seq :: [ 32^6 ]

E19.986 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y2 * Y1 * Y3^-3, Y3^-2 * Y1 * Y3^2 * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 18, 66, 114, 162, 6, 54, 102, 150, 17, 65, 113, 161, 16, 64, 112, 160, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 21, 69, 117, 165, 10, 58, 106, 154, 3, 51, 99, 147, 9, 57, 105, 153, 24, 72, 120, 168, 8, 56, 104, 152)(11, 59, 107, 155, 25, 73, 121, 169, 14, 62, 110, 158, 28, 76, 124, 172, 12, 60, 108, 156, 27, 75, 123, 171, 15, 63, 111, 159, 26, 74, 122, 170)(19, 67, 115, 163, 29, 77, 125, 173, 22, 70, 118, 166, 32, 80, 128, 176, 20, 68, 116, 164, 31, 79, 127, 175, 23, 71, 119, 167, 30, 78, 126, 174)(33, 81, 129, 177, 41, 89, 137, 185, 35, 83, 131, 179, 44, 92, 140, 188, 34, 82, 130, 178, 43, 91, 139, 187, 36, 84, 132, 180, 42, 90, 138, 186)(37, 85, 133, 181, 45, 93, 141, 189, 39, 87, 135, 183, 48, 96, 144, 192, 38, 86, 134, 182, 47, 95, 143, 191, 40, 88, 136, 184, 46, 94, 142, 190)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 67)(8, 70)(9, 68)(10, 71)(11, 52)(12, 65)(13, 72)(14, 53)(15, 66)(16, 69)(17, 60)(18, 63)(19, 55)(20, 57)(21, 64)(22, 56)(23, 58)(24, 61)(25, 81)(26, 83)(27, 82)(28, 84)(29, 85)(30, 87)(31, 86)(32, 88)(33, 73)(34, 75)(35, 74)(36, 76)(37, 77)(38, 79)(39, 78)(40, 80)(41, 96)(42, 95)(43, 94)(44, 93)(45, 92)(46, 91)(47, 90)(48, 89)(97, 147)(98, 150)(99, 145)(100, 156)(101, 159)(102, 146)(103, 164)(104, 167)(105, 163)(106, 166)(107, 161)(108, 148)(109, 165)(110, 162)(111, 149)(112, 168)(113, 155)(114, 158)(115, 153)(116, 151)(117, 157)(118, 154)(119, 152)(120, 160)(121, 178)(122, 180)(123, 177)(124, 179)(125, 182)(126, 184)(127, 181)(128, 183)(129, 171)(130, 169)(131, 172)(132, 170)(133, 175)(134, 173)(135, 176)(136, 174)(137, 190)(138, 189)(139, 192)(140, 191)(141, 186)(142, 185)(143, 188)(144, 187)
	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 E19.979
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 54
	degree seq :: [ 32^6 ]

E19.987 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = C2 x (C24 : C2) (small group id <96, 107>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y2, Y3 * Y2^2 * Y3 * Y2^-2, Y3 * Y1^2 * Y3 * Y1^-2, Y2^8, Y1^8, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(9, 57, 105, 153, 18, 66, 114, 162)(10, 58, 106, 154, 19, 67, 115, 163)(11, 59, 107, 155, 21, 69, 117, 165)(13, 61, 109, 157, 23, 71, 119, 167)(14, 62, 110, 158, 24, 72, 120, 168)(15, 63, 111, 159, 25, 73, 121, 169)(17, 65, 113, 161, 27, 75, 123, 171)(20, 68, 116, 164, 31, 79, 127, 175)(22, 70, 118, 166, 33, 81, 129, 177)(26, 74, 122, 170, 37, 85, 133, 181)(28, 76, 124, 172, 39, 87, 135, 183)(29, 77, 125, 173, 40, 88, 136, 184)(30, 78, 126, 174, 41, 89, 137, 185)(32, 80, 128, 176, 42, 90, 138, 186)(34, 82, 130, 178, 44, 92, 140, 188)(35, 83, 131, 179, 45, 93, 141, 189)(36, 84, 132, 180, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(43, 91, 139, 187, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 62)(9, 60)(10, 52)(11, 68)(12, 70)(13, 69)(14, 54)(15, 55)(16, 58)(17, 56)(18, 76)(19, 77)(20, 63)(21, 80)(22, 79)(23, 82)(24, 83)(25, 65)(26, 64)(27, 84)(28, 81)(29, 66)(30, 67)(31, 74)(32, 73)(33, 91)(34, 90)(35, 71)(36, 72)(37, 78)(38, 75)(39, 94)(40, 95)(41, 92)(42, 86)(43, 85)(44, 88)(45, 89)(46, 96)(47, 87)(48, 93)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 159)(104, 161)(105, 148)(106, 160)(107, 149)(108, 153)(109, 150)(110, 152)(111, 164)(112, 170)(113, 169)(114, 173)(115, 174)(116, 155)(117, 157)(118, 156)(119, 179)(120, 180)(121, 176)(122, 175)(123, 182)(124, 162)(125, 163)(126, 181)(127, 166)(128, 165)(129, 172)(130, 167)(131, 168)(132, 171)(133, 187)(134, 186)(135, 191)(136, 188)(137, 189)(138, 178)(139, 177)(140, 185)(141, 192)(142, 183)(143, 184)(144, 190)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.980
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.988 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^2 * Y1^-1, Y1^3 * Y2, Y2^-3 * Y1^-1, (Y2 * Y1^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y2^-1 * Y3 * Y2^-1)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 11, 59, 107, 155)(5, 53, 101, 149, 16, 64, 112, 160)(6, 54, 102, 150, 17, 65, 113, 161)(7, 55, 103, 151, 18, 66, 114, 162)(8, 56, 104, 152, 19, 67, 115, 163)(10, 58, 106, 154, 24, 72, 120, 168)(12, 60, 108, 156, 25, 73, 121, 169)(13, 61, 109, 157, 26, 74, 122, 170)(14, 62, 110, 158, 27, 75, 123, 171)(15, 63, 111, 159, 28, 76, 124, 172)(20, 68, 116, 164, 29, 77, 125, 173)(21, 69, 117, 165, 30, 78, 126, 174)(22, 70, 118, 166, 31, 79, 127, 175)(23, 71, 119, 167, 32, 80, 128, 176)(33, 81, 129, 177, 41, 89, 137, 185)(34, 82, 130, 178, 42, 90, 138, 186)(35, 83, 131, 179, 43, 91, 139, 187)(36, 84, 132, 180, 44, 92, 140, 188)(37, 85, 133, 181, 45, 93, 141, 189)(38, 86, 134, 182, 46, 94, 142, 190)(39, 87, 135, 183, 47, 95, 143, 191)(40, 88, 136, 184, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 60)(5, 49)(6, 58)(7, 54)(8, 53)(9, 68)(10, 51)(11, 69)(12, 67)(13, 66)(14, 52)(15, 72)(16, 71)(17, 70)(18, 62)(19, 63)(20, 64)(21, 65)(22, 57)(23, 59)(24, 61)(25, 81)(26, 82)(27, 84)(28, 83)(29, 85)(30, 86)(31, 88)(32, 87)(33, 75)(34, 76)(35, 73)(36, 74)(37, 79)(38, 80)(39, 77)(40, 78)(41, 95)(42, 96)(43, 94)(44, 93)(45, 89)(46, 90)(47, 91)(48, 92)(97, 147)(98, 152)(99, 151)(100, 157)(101, 154)(102, 145)(103, 149)(104, 150)(105, 165)(106, 146)(107, 164)(108, 162)(109, 163)(110, 168)(111, 148)(112, 166)(113, 167)(114, 159)(115, 158)(116, 161)(117, 160)(118, 155)(119, 153)(120, 156)(121, 178)(122, 177)(123, 179)(124, 180)(125, 182)(126, 181)(127, 183)(128, 184)(129, 172)(130, 171)(131, 170)(132, 169)(133, 176)(134, 175)(135, 174)(136, 173)(137, 192)(138, 191)(139, 189)(140, 190)(141, 186)(142, 185)(143, 188)(144, 187)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.981
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.989 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1^-1 * Y3 * Y2^-1)^2, Y2^8, Y1^8, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 3, 51, 99, 147)(2, 50, 98, 146, 6, 54, 102, 150)(4, 52, 100, 148, 9, 57, 105, 153)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(8, 56, 104, 152, 17, 65, 113, 161)(10, 58, 106, 154, 15, 63, 111, 159)(11, 59, 107, 155, 21, 69, 117, 165)(13, 61, 109, 157, 23, 71, 119, 167)(14, 62, 110, 158, 24, 72, 120, 168)(18, 66, 114, 162, 30, 78, 126, 174)(19, 67, 115, 163, 29, 77, 125, 173)(20, 68, 116, 164, 31, 79, 127, 175)(22, 70, 118, 166, 33, 81, 129, 177)(25, 73, 121, 169, 37, 85, 133, 181)(26, 74, 122, 170, 38, 86, 134, 182)(27, 75, 123, 171, 39, 87, 135, 183)(28, 76, 124, 172, 40, 88, 136, 184)(32, 80, 128, 176, 42, 90, 138, 186)(34, 82, 130, 178, 44, 92, 140, 188)(35, 83, 131, 179, 45, 93, 141, 189)(36, 84, 132, 180, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191)(43, 91, 139, 187, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 55)(4, 49)(5, 59)(6, 61)(7, 63)(8, 51)(9, 66)(10, 52)(11, 68)(12, 56)(13, 57)(14, 54)(15, 73)(16, 74)(17, 76)(18, 77)(19, 58)(20, 67)(21, 62)(22, 60)(23, 82)(24, 84)(25, 79)(26, 65)(27, 64)(28, 81)(29, 80)(30, 83)(31, 70)(32, 69)(33, 91)(34, 72)(35, 71)(36, 90)(37, 75)(38, 94)(39, 92)(40, 95)(41, 78)(42, 89)(43, 85)(44, 96)(45, 88)(46, 87)(47, 86)(48, 93)(97, 146)(98, 149)(99, 151)(100, 145)(101, 155)(102, 157)(103, 159)(104, 147)(105, 162)(106, 148)(107, 164)(108, 152)(109, 153)(110, 150)(111, 169)(112, 170)(113, 172)(114, 173)(115, 154)(116, 163)(117, 158)(118, 156)(119, 178)(120, 180)(121, 175)(122, 161)(123, 160)(124, 177)(125, 176)(126, 179)(127, 166)(128, 165)(129, 187)(130, 168)(131, 167)(132, 186)(133, 171)(134, 190)(135, 188)(136, 191)(137, 174)(138, 185)(139, 181)(140, 192)(141, 184)(142, 183)(143, 182)(144, 189)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.982
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.990 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3 * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-2 * R)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^3 * Y3 * Y1 * Y2, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 16, 64)(6, 54, 8, 56)(7, 55, 19, 67)(9, 57, 24, 72)(12, 60, 20, 68)(13, 61, 30, 78)(14, 62, 28, 76)(15, 63, 34, 82)(17, 65, 37, 85)(18, 66, 26, 74)(21, 69, 39, 87)(22, 70, 40, 88)(23, 71, 43, 91)(25, 73, 31, 79)(27, 75, 35, 83)(29, 77, 46, 94)(32, 80, 36, 84)(33, 81, 42, 90)(38, 86, 44, 92)(41, 89, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 108, 156, 127, 175, 144, 192, 135, 183, 114, 162, 101, 149)(98, 146, 103, 151, 116, 164, 133, 181, 143, 191, 126, 174, 122, 170, 105, 153)(100, 148, 110, 158, 128, 176, 139, 187, 142, 190, 136, 184, 131, 179, 111, 159)(102, 150, 109, 157, 129, 177, 120, 168, 137, 185, 115, 163, 134, 182, 113, 161)(104, 152, 118, 166, 138, 186, 130, 178, 141, 189, 124, 172, 140, 188, 119, 167)(106, 154, 117, 165, 132, 180, 112, 160, 125, 173, 107, 155, 123, 171, 121, 169)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 113)(6, 97)(7, 117)(8, 106)(9, 121)(10, 98)(11, 124)(12, 128)(13, 110)(14, 99)(15, 101)(16, 130)(17, 111)(18, 131)(19, 136)(20, 138)(21, 118)(22, 103)(23, 105)(24, 139)(25, 119)(26, 140)(27, 122)(28, 126)(29, 143)(30, 107)(31, 120)(32, 129)(33, 108)(34, 133)(35, 134)(36, 116)(37, 112)(38, 114)(39, 115)(40, 135)(41, 144)(42, 132)(43, 127)(44, 123)(45, 125)(46, 137)(47, 141)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.991 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y3 * Y1 * Y2^-1 * Y1 * Y2, Y3^6, (R * Y2 * Y3^-1)^2, (Y2^-2 * R)^2, Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y3, Y2^8, Y2^-1 * Y3^-2 * Y1 * Y2^-3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 13, 61)(9, 57, 18, 66)(12, 60, 21, 69)(14, 62, 28, 76)(15, 63, 26, 74)(16, 64, 36, 84)(19, 67, 25, 73)(20, 68, 23, 71)(22, 70, 32, 80)(24, 72, 39, 87)(27, 75, 30, 78)(29, 77, 46, 94)(31, 79, 43, 91)(33, 81, 48, 96)(34, 82, 45, 93)(35, 83, 42, 90)(37, 85, 38, 86)(40, 88, 47, 95)(41, 89, 44, 92)(97, 145, 99, 147, 108, 156, 125, 173, 130, 178, 137, 185, 115, 163, 101, 149)(98, 146, 103, 151, 117, 165, 138, 186, 141, 189, 144, 192, 121, 169, 105, 153)(100, 148, 110, 158, 126, 174, 135, 183, 116, 164, 128, 176, 133, 181, 112, 160)(102, 150, 109, 157, 127, 175, 131, 179, 111, 159, 129, 177, 136, 184, 114, 162)(104, 152, 118, 166, 139, 187, 132, 180, 122, 170, 124, 172, 143, 191, 120, 168)(106, 154, 107, 155, 123, 171, 142, 190, 119, 167, 140, 188, 134, 182, 113, 161)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 107)(8, 119)(9, 113)(10, 98)(11, 124)(12, 126)(13, 128)(14, 99)(15, 130)(16, 101)(17, 132)(18, 135)(19, 133)(20, 102)(21, 139)(22, 103)(23, 141)(24, 105)(25, 143)(26, 106)(27, 117)(28, 144)(29, 131)(30, 136)(31, 108)(32, 137)(33, 110)(34, 116)(35, 112)(36, 138)(37, 127)(38, 121)(39, 125)(40, 115)(41, 129)(42, 142)(43, 134)(44, 118)(45, 122)(46, 120)(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) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.992 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y2^8, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 12, 60)(10, 58, 14, 62)(15, 63, 25, 73)(16, 64, 27, 75)(17, 65, 26, 74)(18, 66, 29, 77)(19, 67, 30, 78)(20, 68, 31, 79)(21, 69, 33, 81)(22, 70, 32, 80)(23, 71, 35, 83)(24, 72, 36, 84)(28, 76, 34, 82)(37, 85, 45, 93)(38, 86, 46, 94)(39, 87, 47, 95)(40, 88, 42, 90)(41, 89, 43, 91)(44, 92, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 124, 172, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 130, 178, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 122, 170, 135, 183, 126, 174, 114, 162, 105, 153, 112, 160)(107, 155, 116, 164, 128, 176, 140, 188, 132, 180, 119, 167, 109, 157, 117, 165)(121, 169, 133, 181, 143, 191, 137, 185, 125, 173, 136, 184, 123, 171, 134, 182)(127, 175, 138, 186, 144, 192, 142, 190, 131, 179, 141, 189, 129, 177, 139, 187)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.993 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, Y2^8, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 14, 62)(10, 58, 12, 60)(15, 63, 25, 73)(16, 64, 26, 74)(17, 65, 27, 75)(18, 66, 29, 77)(19, 67, 30, 78)(20, 68, 31, 79)(21, 69, 32, 80)(22, 70, 33, 81)(23, 71, 35, 83)(24, 72, 36, 84)(28, 76, 34, 82)(37, 85, 44, 92)(38, 86, 46, 94)(39, 87, 42, 90)(40, 88, 47, 95)(41, 89, 43, 91)(45, 93, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 124, 172, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 130, 178, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 105, 153, 114, 162, 126, 174, 136, 184, 123, 171, 112, 160)(107, 155, 116, 164, 109, 157, 119, 167, 132, 180, 141, 189, 129, 177, 117, 165)(121, 169, 133, 181, 122, 170, 135, 183, 143, 191, 137, 185, 125, 173, 134, 182)(127, 175, 138, 186, 128, 176, 140, 188, 144, 192, 142, 190, 131, 179, 139, 187)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.994 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^4 * Y3, Y1 * Y2^2 * Y1 * Y2^-2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 16, 64)(11, 59, 22, 70)(12, 60, 24, 72)(14, 62, 20, 68)(17, 65, 27, 75)(18, 66, 29, 77)(21, 69, 31, 79)(23, 71, 33, 81)(25, 73, 34, 82)(26, 74, 35, 83)(28, 76, 37, 85)(30, 78, 38, 86)(32, 80, 41, 89)(36, 84, 46, 94)(39, 87, 47, 95)(40, 88, 48, 96)(42, 90, 44, 92)(43, 91, 45, 93)(97, 145, 99, 147, 106, 154, 108, 156, 100, 148, 107, 155, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 114, 162, 103, 151, 113, 161, 116, 164, 104, 152)(105, 153, 117, 165, 120, 168, 128, 176, 118, 166, 121, 169, 109, 157, 119, 167)(111, 159, 122, 170, 125, 173, 132, 180, 123, 171, 126, 174, 115, 163, 124, 172)(127, 175, 135, 183, 137, 185, 139, 187, 130, 178, 138, 186, 129, 177, 136, 184)(131, 179, 140, 188, 142, 190, 144, 192, 134, 182, 143, 191, 133, 181, 141, 189)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 110)(11, 99)(12, 101)(13, 120)(14, 106)(15, 123)(16, 116)(17, 102)(18, 104)(19, 125)(20, 112)(21, 121)(22, 105)(23, 128)(24, 109)(25, 117)(26, 126)(27, 111)(28, 132)(29, 115)(30, 122)(31, 130)(32, 119)(33, 137)(34, 127)(35, 134)(36, 124)(37, 142)(38, 131)(39, 138)(40, 139)(41, 129)(42, 135)(43, 136)(44, 143)(45, 144)(46, 133)(47, 140)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.995 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, (R * Y1)^2, Y3 * Y2^-4, (Y2 * Y1 * Y2)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 20, 68)(11, 59, 22, 70)(12, 60, 24, 72)(14, 62, 16, 64)(17, 65, 27, 75)(18, 66, 29, 77)(21, 69, 31, 79)(23, 71, 33, 81)(25, 73, 34, 82)(26, 74, 35, 83)(28, 76, 37, 85)(30, 78, 38, 86)(32, 80, 40, 88)(36, 84, 45, 93)(39, 87, 47, 95)(41, 89, 48, 96)(42, 90, 44, 92)(43, 91, 46, 94)(97, 145, 99, 147, 106, 154, 108, 156, 100, 148, 107, 155, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 114, 162, 103, 151, 113, 161, 116, 164, 104, 152)(105, 153, 117, 165, 109, 157, 121, 169, 118, 166, 128, 176, 120, 168, 119, 167)(111, 159, 122, 170, 115, 163, 126, 174, 123, 171, 132, 180, 125, 173, 124, 172)(127, 175, 135, 183, 129, 177, 138, 186, 136, 184, 139, 187, 130, 178, 137, 185)(131, 179, 140, 188, 133, 181, 143, 191, 141, 189, 144, 192, 134, 182, 142, 190)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 110)(11, 99)(12, 101)(13, 120)(14, 106)(15, 123)(16, 116)(17, 102)(18, 104)(19, 125)(20, 112)(21, 128)(22, 105)(23, 121)(24, 109)(25, 119)(26, 132)(27, 111)(28, 126)(29, 115)(30, 124)(31, 136)(32, 117)(33, 130)(34, 129)(35, 141)(36, 122)(37, 134)(38, 133)(39, 139)(40, 127)(41, 138)(42, 137)(43, 135)(44, 144)(45, 131)(46, 143)(47, 142)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.996 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2, (Y1 * Y3)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 15, 63)(6, 54, 8, 56)(7, 55, 16, 64)(9, 57, 20, 68)(12, 60, 22, 70)(13, 61, 18, 66)(14, 62, 24, 72)(17, 65, 27, 75)(19, 67, 29, 77)(21, 69, 31, 79)(23, 71, 33, 81)(25, 73, 34, 82)(26, 74, 35, 83)(28, 76, 37, 85)(30, 78, 38, 86)(32, 80, 41, 89)(36, 84, 46, 94)(39, 87, 47, 95)(40, 88, 48, 96)(42, 90, 44, 92)(43, 91, 45, 93)(97, 145, 99, 147, 102, 150, 108, 156, 109, 157, 110, 158, 100, 148, 101, 149)(98, 146, 103, 151, 106, 154, 113, 161, 114, 162, 115, 163, 104, 152, 105, 153)(107, 155, 117, 165, 111, 159, 121, 169, 120, 168, 128, 176, 118, 166, 119, 167)(112, 160, 122, 170, 116, 164, 126, 174, 125, 173, 132, 180, 123, 171, 124, 172)(127, 175, 135, 183, 129, 177, 138, 186, 137, 185, 139, 187, 130, 178, 136, 184)(131, 179, 140, 188, 133, 181, 143, 191, 142, 190, 144, 192, 134, 182, 141, 189)
	L = (1, 100)(2, 104)(3, 101)(4, 109)(5, 110)(6, 97)(7, 105)(8, 114)(9, 115)(10, 98)(11, 118)(12, 99)(13, 102)(14, 108)(15, 107)(16, 123)(17, 103)(18, 106)(19, 113)(20, 112)(21, 119)(22, 120)(23, 128)(24, 111)(25, 117)(26, 124)(27, 125)(28, 132)(29, 116)(30, 122)(31, 130)(32, 121)(33, 127)(34, 137)(35, 134)(36, 126)(37, 131)(38, 142)(39, 136)(40, 139)(41, 129)(42, 135)(43, 138)(44, 141)(45, 144)(46, 133)(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) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.997 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, (R * Y3)^2, (Y1 * Y3^-1)^2, Y3^4, (R * Y1)^2, (R * Y2)^2, R * Y1 * Y2 * R * Y2^-1 * Y1 * Y3^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 14, 62)(6, 54, 8, 56)(7, 55, 16, 64)(9, 57, 19, 67)(12, 60, 23, 71)(13, 61, 18, 66)(15, 63, 25, 73)(17, 65, 28, 76)(20, 68, 30, 78)(21, 69, 31, 79)(22, 70, 32, 80)(24, 72, 34, 82)(26, 74, 35, 83)(27, 75, 36, 84)(29, 77, 38, 86)(33, 81, 42, 90)(37, 85, 47, 95)(39, 87, 46, 94)(40, 88, 48, 96)(41, 89, 44, 92)(43, 91, 45, 93)(97, 145, 99, 147, 100, 148, 108, 156, 109, 157, 111, 159, 102, 150, 101, 149)(98, 146, 103, 151, 104, 152, 113, 161, 114, 162, 116, 164, 106, 154, 105, 153)(107, 155, 117, 165, 110, 158, 120, 168, 121, 169, 129, 177, 119, 167, 118, 166)(112, 160, 122, 170, 115, 163, 125, 173, 126, 174, 133, 181, 124, 172, 123, 171)(127, 175, 135, 183, 128, 176, 137, 185, 138, 186, 139, 187, 130, 178, 136, 184)(131, 179, 140, 188, 132, 180, 142, 190, 143, 191, 144, 192, 134, 182, 141, 189)
	L = (1, 100)(2, 104)(3, 108)(4, 109)(5, 99)(6, 97)(7, 113)(8, 114)(9, 103)(10, 98)(11, 110)(12, 111)(13, 102)(14, 121)(15, 101)(16, 115)(17, 116)(18, 106)(19, 126)(20, 105)(21, 120)(22, 117)(23, 107)(24, 129)(25, 119)(26, 125)(27, 122)(28, 112)(29, 133)(30, 124)(31, 128)(32, 138)(33, 118)(34, 127)(35, 132)(36, 143)(37, 123)(38, 131)(39, 137)(40, 135)(41, 139)(42, 130)(43, 136)(44, 142)(45, 140)(46, 144)(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) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.998 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
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 :: [ R^2, Y2^2, Y3^2, Y1^-2 * Y2 * Y3, (R * Y1)^2, R * Y3 * R * Y2, Y1^-1 * Y3 * Y1^4 * Y2 * Y1^-1, (Y3 * Y1^2 * Y2)^2, Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 74, 26, 72, 24, 60, 12, 53, 5, 49)(3, 57, 9, 52, 4, 59, 11, 70, 22, 76, 28, 63, 15, 58, 10, 51)(7, 64, 16, 56, 8, 66, 18, 61, 13, 73, 25, 75, 27, 65, 17, 55)(19, 81, 33, 68, 20, 83, 35, 69, 21, 84, 36, 71, 23, 82, 34, 67)(29, 85, 37, 78, 30, 87, 39, 79, 31, 88, 40, 80, 32, 86, 38, 77)(41, 94, 46, 90, 42, 95, 47, 91, 43, 96, 48, 92, 44, 93, 45, 89)
	L = (1, 3)(2, 7)(4, 12)(5, 8)(6, 15)(9, 19)(10, 20)(11, 23)(13, 24)(14, 27)(16, 29)(17, 30)(18, 32)(21, 28)(22, 26)(25, 31)(33, 41)(34, 42)(35, 44)(36, 43)(37, 45)(38, 46)(39, 48)(40, 47)(49, 52)(50, 56)(51, 54)(53, 61)(55, 62)(57, 68)(58, 69)(59, 67)(60, 70)(63, 74)(64, 78)(65, 79)(66, 77)(71, 76)(72, 75)(73, 80)(81, 90)(82, 91)(83, 89)(84, 92)(85, 94)(86, 95)(87, 93)(88, 96)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.999 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
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 :: [ R^2, Y2^2, Y3^2, Y1^-2 * Y3 * Y2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 74, 26, 70, 22, 58, 10, 53, 5, 49)(3, 57, 9, 67, 19, 76, 28, 63, 15, 60, 12, 52, 4, 59, 11, 51)(7, 64, 16, 61, 13, 73, 25, 75, 27, 66, 18, 56, 8, 65, 17, 55)(20, 81, 33, 71, 23, 84, 36, 72, 24, 83, 35, 69, 21, 82, 34, 68)(29, 85, 37, 79, 31, 88, 40, 80, 32, 87, 39, 78, 30, 86, 38, 77)(41, 95, 47, 91, 43, 96, 48, 92, 44, 94, 46, 90, 42, 93, 45, 89)
	L = (1, 3)(2, 7)(4, 6)(5, 13)(8, 14)(9, 20)(10, 19)(11, 23)(12, 24)(15, 26)(16, 29)(17, 31)(18, 32)(21, 28)(22, 27)(25, 30)(33, 41)(34, 43)(35, 44)(36, 42)(37, 45)(38, 47)(39, 48)(40, 46)(49, 52)(50, 56)(51, 58)(53, 55)(54, 63)(57, 69)(59, 68)(60, 71)(61, 70)(62, 75)(64, 78)(65, 77)(66, 79)(67, 74)(72, 76)(73, 80)(81, 90)(82, 89)(83, 91)(84, 92)(85, 94)(86, 93)(87, 95)(88, 96)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.1000 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^-2 * Y3 * Y2, Y1^2 * Y2 * Y3, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3, Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 74, 26, 70, 22, 58, 10, 53, 5, 49)(3, 57, 9, 67, 19, 76, 28, 63, 15, 60, 12, 52, 4, 59, 11, 51)(7, 64, 16, 61, 13, 73, 25, 75, 27, 66, 18, 56, 8, 65, 17, 55)(20, 81, 33, 71, 23, 84, 36, 72, 24, 83, 35, 69, 21, 82, 34, 68)(29, 85, 37, 79, 31, 88, 40, 80, 32, 87, 39, 78, 30, 86, 38, 77)(41, 94, 46, 91, 43, 93, 45, 92, 44, 95, 47, 90, 42, 96, 48, 89)
	L = (1, 3)(2, 7)(4, 6)(5, 13)(8, 14)(9, 20)(10, 19)(11, 23)(12, 24)(15, 26)(16, 29)(17, 31)(18, 32)(21, 28)(22, 27)(25, 30)(33, 41)(34, 43)(35, 44)(36, 42)(37, 45)(38, 47)(39, 48)(40, 46)(49, 52)(50, 56)(51, 58)(53, 55)(54, 63)(57, 69)(59, 68)(60, 71)(61, 70)(62, 75)(64, 78)(65, 77)(66, 79)(67, 74)(72, 76)(73, 80)(81, 90)(82, 89)(83, 91)(84, 92)(85, 94)(86, 93)(87, 95)(88, 96)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.1001 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^-2 * Y2 * Y3, (R * Y1)^2, R * Y3 * R * Y2, Y1^-1 * Y3 * Y1^4 * Y2 * Y1^-1, (Y3 * Y1^2 * Y2)^2, Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 74, 26, 72, 24, 60, 12, 53, 5, 49)(3, 57, 9, 52, 4, 59, 11, 70, 22, 76, 28, 63, 15, 58, 10, 51)(7, 64, 16, 56, 8, 66, 18, 61, 13, 73, 25, 75, 27, 65, 17, 55)(19, 81, 33, 68, 20, 83, 35, 69, 21, 84, 36, 71, 23, 82, 34, 67)(29, 85, 37, 78, 30, 87, 39, 79, 31, 88, 40, 80, 32, 86, 38, 77)(41, 96, 48, 90, 42, 93, 45, 91, 43, 94, 46, 92, 44, 95, 47, 89)
	L = (1, 3)(2, 7)(4, 12)(5, 8)(6, 15)(9, 19)(10, 20)(11, 23)(13, 24)(14, 27)(16, 29)(17, 30)(18, 32)(21, 28)(22, 26)(25, 31)(33, 41)(34, 42)(35, 44)(36, 43)(37, 45)(38, 46)(39, 48)(40, 47)(49, 52)(50, 56)(51, 54)(53, 61)(55, 62)(57, 68)(58, 69)(59, 67)(60, 70)(63, 74)(64, 78)(65, 79)(66, 77)(71, 76)(72, 75)(73, 80)(81, 90)(82, 91)(83, 89)(84, 92)(85, 94)(86, 95)(87, 93)(88, 96)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.1002 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
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, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^4 * Y1 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 6, 54, 15, 63, 26, 74, 20, 68, 9, 57, 5, 53)(2, 50, 7, 55, 3, 51, 10, 58, 19, 67, 27, 75, 14, 62, 8, 56)(11, 59, 22, 70, 12, 60, 24, 72, 13, 61, 25, 73, 28, 76, 23, 71)(16, 64, 29, 77, 17, 65, 31, 79, 18, 66, 32, 80, 21, 69, 30, 78)(33, 81, 41, 89, 34, 82, 43, 91, 35, 83, 44, 92, 36, 84, 42, 90)(37, 85, 45, 93, 38, 86, 47, 95, 39, 87, 48, 96, 40, 88, 46, 94)(97, 98)(99, 105)(100, 107)(101, 108)(102, 110)(103, 112)(104, 113)(106, 117)(109, 116)(111, 124)(114, 123)(115, 122)(118, 129)(119, 130)(120, 132)(121, 131)(125, 133)(126, 134)(127, 136)(128, 135)(137, 142)(138, 141)(139, 144)(140, 143)(145, 147)(146, 150)(148, 156)(149, 157)(151, 161)(152, 162)(153, 163)(154, 160)(155, 159)(158, 170)(164, 172)(165, 171)(166, 178)(167, 179)(168, 177)(169, 180)(173, 182)(174, 183)(175, 181)(176, 184)(185, 189)(186, 191)(187, 190)(188, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1009
Graph:: simple bipartite
	v = 54 e = 96 f = 6
	degree seq :: [ 2^48, 16^6 ]

E19.1003 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
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, Y2^2, R^2, Y2 * Y1 * Y3^-2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1, (Y3 * Y2 * Y1 * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 9, 57, 20, 68, 26, 74, 15, 63, 6, 54, 5, 53)(2, 50, 7, 55, 14, 62, 27, 75, 19, 67, 10, 58, 3, 51, 8, 56)(11, 59, 22, 70, 13, 61, 25, 73, 28, 76, 24, 72, 12, 60, 23, 71)(16, 64, 29, 77, 18, 66, 32, 80, 21, 69, 31, 79, 17, 65, 30, 78)(33, 81, 41, 89, 35, 83, 44, 92, 36, 84, 43, 91, 34, 82, 42, 90)(37, 85, 45, 93, 39, 87, 48, 96, 40, 88, 47, 95, 38, 86, 46, 94)(97, 98)(99, 105)(100, 107)(101, 109)(102, 110)(103, 112)(104, 114)(106, 117)(108, 116)(111, 124)(113, 123)(115, 122)(118, 129)(119, 131)(120, 132)(121, 130)(125, 133)(126, 135)(127, 136)(128, 134)(137, 142)(138, 141)(139, 144)(140, 143)(145, 147)(146, 150)(148, 156)(149, 155)(151, 161)(152, 160)(153, 163)(154, 162)(157, 159)(158, 170)(164, 172)(165, 171)(166, 178)(167, 177)(168, 179)(169, 180)(173, 182)(174, 181)(175, 183)(176, 184)(185, 191)(186, 190)(187, 189)(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, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1010
Graph:: simple bipartite
	v = 54 e = 96 f = 6
	degree seq :: [ 2^48, 16^6 ]

E19.1004 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2 * Y1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 49, 4, 52, 9, 57, 20, 68, 26, 74, 15, 63, 6, 54, 5, 53)(2, 50, 7, 55, 14, 62, 27, 75, 19, 67, 10, 58, 3, 51, 8, 56)(11, 59, 22, 70, 13, 61, 25, 73, 28, 76, 24, 72, 12, 60, 23, 71)(16, 64, 29, 77, 18, 66, 32, 80, 21, 69, 31, 79, 17, 65, 30, 78)(33, 81, 41, 89, 35, 83, 44, 92, 36, 84, 43, 91, 34, 82, 42, 90)(37, 85, 45, 93, 39, 87, 48, 96, 40, 88, 47, 95, 38, 86, 46, 94)(97, 98)(99, 105)(100, 107)(101, 109)(102, 110)(103, 112)(104, 114)(106, 117)(108, 116)(111, 124)(113, 123)(115, 122)(118, 129)(119, 131)(120, 132)(121, 130)(125, 133)(126, 135)(127, 136)(128, 134)(137, 144)(138, 143)(139, 142)(140, 141)(145, 147)(146, 150)(148, 156)(149, 155)(151, 161)(152, 160)(153, 163)(154, 162)(157, 159)(158, 170)(164, 172)(165, 171)(166, 178)(167, 177)(168, 179)(169, 180)(173, 182)(174, 181)(175, 183)(176, 184)(185, 189)(186, 192)(187, 191)(188, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1011
Graph:: simple bipartite
	v = 54 e = 96 f = 6
	degree seq :: [ 2^48, 16^6 ]

E19.1005 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y3^-1, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 6, 54, 15, 63, 26, 74, 20, 68, 9, 57, 5, 53)(2, 50, 7, 55, 3, 51, 10, 58, 19, 67, 27, 75, 14, 62, 8, 56)(11, 59, 22, 70, 12, 60, 24, 72, 13, 61, 25, 73, 28, 76, 23, 71)(16, 64, 29, 77, 17, 65, 31, 79, 18, 66, 32, 80, 21, 69, 30, 78)(33, 81, 41, 89, 34, 82, 43, 91, 35, 83, 44, 92, 36, 84, 42, 90)(37, 85, 45, 93, 38, 86, 47, 95, 39, 87, 48, 96, 40, 88, 46, 94)(97, 98)(99, 105)(100, 107)(101, 108)(102, 110)(103, 112)(104, 113)(106, 117)(109, 116)(111, 124)(114, 123)(115, 122)(118, 129)(119, 130)(120, 132)(121, 131)(125, 133)(126, 134)(127, 136)(128, 135)(137, 143)(138, 144)(139, 141)(140, 142)(145, 147)(146, 150)(148, 156)(149, 157)(151, 161)(152, 162)(153, 163)(154, 160)(155, 159)(158, 170)(164, 172)(165, 171)(166, 178)(167, 179)(168, 177)(169, 180)(173, 182)(174, 183)(175, 181)(176, 184)(185, 192)(186, 190)(187, 191)(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) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1012
Graph:: simple bipartite
	v = 54 e = 96 f = 6
	degree seq :: [ 2^48, 16^6 ]

E19.1006 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
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 :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y3 * Y1^-1)^2, Y3 * Y2^2 * Y3 * Y1^-2, Y2^8, Y1^8, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 16, 64)(9, 57, 18, 66)(10, 58, 19, 67)(11, 59, 21, 69)(13, 61, 23, 71)(14, 62, 24, 72)(15, 63, 25, 73)(17, 65, 27, 75)(20, 68, 31, 79)(22, 70, 33, 81)(26, 74, 37, 85)(28, 76, 39, 87)(29, 77, 40, 88)(30, 78, 41, 89)(32, 80, 42, 90)(34, 82, 44, 92)(35, 83, 45, 93)(36, 84, 46, 94)(38, 86, 47, 95)(43, 91, 48, 96)(97, 98, 101, 107, 116, 111, 103, 99)(100, 105, 112, 122, 127, 118, 108, 106)(102, 109, 104, 113, 121, 128, 117, 110)(114, 124, 115, 126, 129, 139, 133, 125)(119, 130, 120, 132, 138, 134, 123, 131)(135, 141, 136, 143, 144, 142, 137, 140)(145, 147, 151, 159, 164, 155, 149, 146)(148, 154, 156, 166, 175, 170, 160, 153)(150, 158, 165, 176, 169, 161, 152, 157)(162, 173, 181, 187, 177, 174, 163, 172)(167, 179, 171, 182, 186, 180, 168, 178)(183, 188, 185, 190, 192, 191, 184, 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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1013
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.1007 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1), Y2^3 * Y1^-1, Y1 * Y2^-1 * Y1^2, Y2^-2 * Y1^-2, (Y1 * Y2)^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 11, 59)(5, 53, 16, 64)(6, 54, 17, 65)(7, 55, 18, 66)(8, 56, 19, 67)(10, 58, 24, 72)(12, 60, 25, 73)(13, 61, 26, 74)(14, 62, 27, 75)(15, 63, 28, 76)(20, 68, 29, 77)(21, 69, 30, 78)(22, 70, 31, 79)(23, 71, 32, 80)(33, 81, 41, 89)(34, 82, 42, 90)(35, 83, 43, 91)(36, 84, 44, 92)(37, 85, 45, 93)(38, 86, 46, 94)(39, 87, 47, 95)(40, 88, 48, 96)(97, 98, 103, 99, 104, 102, 106, 101)(100, 108, 120, 109, 115, 111, 114, 110)(105, 116, 112, 117, 113, 119, 107, 118)(121, 129, 123, 130, 124, 132, 122, 131)(125, 133, 127, 134, 128, 136, 126, 135)(137, 143, 139, 144, 140, 142, 138, 141)(145, 147, 154, 146, 152, 149, 151, 150)(148, 157, 162, 156, 163, 158, 168, 159)(153, 165, 155, 164, 161, 166, 160, 167)(169, 178, 170, 177, 172, 179, 171, 180)(173, 182, 174, 181, 176, 183, 175, 184)(185, 192, 186, 191, 188, 189, 187, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1014
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.1008 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2^-1 * Y1^2, Y2^3 * Y1^-1, Y2^-2 * Y1^-2, (Y1 * Y2)^2, (Y2^-1, Y1^-1), R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 11, 59)(5, 53, 16, 64)(6, 54, 17, 65)(7, 55, 18, 66)(8, 56, 19, 67)(10, 58, 24, 72)(12, 60, 25, 73)(13, 61, 26, 74)(14, 62, 27, 75)(15, 63, 28, 76)(20, 68, 29, 77)(21, 69, 30, 78)(22, 70, 31, 79)(23, 71, 32, 80)(33, 81, 41, 89)(34, 82, 42, 90)(35, 83, 43, 91)(36, 84, 44, 92)(37, 85, 45, 93)(38, 86, 46, 94)(39, 87, 47, 95)(40, 88, 48, 96)(97, 98, 103, 99, 104, 102, 106, 101)(100, 108, 120, 109, 115, 111, 114, 110)(105, 116, 112, 117, 113, 119, 107, 118)(121, 129, 123, 130, 124, 132, 122, 131)(125, 133, 127, 134, 128, 136, 126, 135)(137, 142, 139, 141, 140, 143, 138, 144)(145, 147, 154, 146, 152, 149, 151, 150)(148, 157, 162, 156, 163, 158, 168, 159)(153, 165, 155, 164, 161, 166, 160, 167)(169, 178, 170, 177, 172, 179, 171, 180)(173, 182, 174, 181, 176, 183, 175, 184)(185, 189, 186, 190, 188, 192, 187, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1015
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.1009 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
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, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^4 * Y1 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 6, 54, 102, 150, 15, 63, 111, 159, 26, 74, 122, 170, 20, 68, 116, 164, 9, 57, 105, 153, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 3, 51, 99, 147, 10, 58, 106, 154, 19, 67, 115, 163, 27, 75, 123, 171, 14, 62, 110, 158, 8, 56, 104, 152)(11, 59, 107, 155, 22, 70, 118, 166, 12, 60, 108, 156, 24, 72, 120, 168, 13, 61, 109, 157, 25, 73, 121, 169, 28, 76, 124, 172, 23, 71, 119, 167)(16, 64, 112, 160, 29, 77, 125, 173, 17, 65, 113, 161, 31, 79, 127, 175, 18, 66, 114, 162, 32, 80, 128, 176, 21, 69, 117, 165, 30, 78, 126, 174)(33, 81, 129, 177, 41, 89, 137, 185, 34, 82, 130, 178, 43, 91, 139, 187, 35, 83, 131, 179, 44, 92, 140, 188, 36, 84, 132, 180, 42, 90, 138, 186)(37, 85, 133, 181, 45, 93, 141, 189, 38, 86, 134, 182, 47, 95, 143, 191, 39, 87, 135, 183, 48, 96, 144, 192, 40, 88, 136, 184, 46, 94, 142, 190)
	L = (1, 50)(2, 49)(3, 57)(4, 59)(5, 60)(6, 62)(7, 64)(8, 65)(9, 51)(10, 69)(11, 52)(12, 53)(13, 68)(14, 54)(15, 76)(16, 55)(17, 56)(18, 75)(19, 74)(20, 61)(21, 58)(22, 81)(23, 82)(24, 84)(25, 83)(26, 67)(27, 66)(28, 63)(29, 85)(30, 86)(31, 88)(32, 87)(33, 70)(34, 71)(35, 73)(36, 72)(37, 77)(38, 78)(39, 80)(40, 79)(41, 94)(42, 93)(43, 96)(44, 95)(45, 90)(46, 89)(47, 92)(48, 91)(97, 147)(98, 150)(99, 145)(100, 156)(101, 157)(102, 146)(103, 161)(104, 162)(105, 163)(106, 160)(107, 159)(108, 148)(109, 149)(110, 170)(111, 155)(112, 154)(113, 151)(114, 152)(115, 153)(116, 172)(117, 171)(118, 178)(119, 179)(120, 177)(121, 180)(122, 158)(123, 165)(124, 164)(125, 182)(126, 183)(127, 181)(128, 184)(129, 168)(130, 166)(131, 167)(132, 169)(133, 175)(134, 173)(135, 174)(136, 176)(137, 189)(138, 191)(139, 190)(140, 192)(141, 185)(142, 187)(143, 186)(144, 188)
	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 E19.1002
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 54
	degree seq :: [ 32^6 ]

E19.1010 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
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, Y2^2, R^2, Y2 * Y1 * Y3^-2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1, (Y3 * Y2 * Y1 * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 9, 57, 105, 153, 20, 68, 116, 164, 26, 74, 122, 170, 15, 63, 111, 159, 6, 54, 102, 150, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 14, 62, 110, 158, 27, 75, 123, 171, 19, 67, 115, 163, 10, 58, 106, 154, 3, 51, 99, 147, 8, 56, 104, 152)(11, 59, 107, 155, 22, 70, 118, 166, 13, 61, 109, 157, 25, 73, 121, 169, 28, 76, 124, 172, 24, 72, 120, 168, 12, 60, 108, 156, 23, 71, 119, 167)(16, 64, 112, 160, 29, 77, 125, 173, 18, 66, 114, 162, 32, 80, 128, 176, 21, 69, 117, 165, 31, 79, 127, 175, 17, 65, 113, 161, 30, 78, 126, 174)(33, 81, 129, 177, 41, 89, 137, 185, 35, 83, 131, 179, 44, 92, 140, 188, 36, 84, 132, 180, 43, 91, 139, 187, 34, 82, 130, 178, 42, 90, 138, 186)(37, 85, 133, 181, 45, 93, 141, 189, 39, 87, 135, 183, 48, 96, 144, 192, 40, 88, 136, 184, 47, 95, 143, 191, 38, 86, 134, 182, 46, 94, 142, 190)
	L = (1, 50)(2, 49)(3, 57)(4, 59)(5, 61)(6, 62)(7, 64)(8, 66)(9, 51)(10, 69)(11, 52)(12, 68)(13, 53)(14, 54)(15, 76)(16, 55)(17, 75)(18, 56)(19, 74)(20, 60)(21, 58)(22, 81)(23, 83)(24, 84)(25, 82)(26, 67)(27, 65)(28, 63)(29, 85)(30, 87)(31, 88)(32, 86)(33, 70)(34, 73)(35, 71)(36, 72)(37, 77)(38, 80)(39, 78)(40, 79)(41, 94)(42, 93)(43, 96)(44, 95)(45, 90)(46, 89)(47, 92)(48, 91)(97, 147)(98, 150)(99, 145)(100, 156)(101, 155)(102, 146)(103, 161)(104, 160)(105, 163)(106, 162)(107, 149)(108, 148)(109, 159)(110, 170)(111, 157)(112, 152)(113, 151)(114, 154)(115, 153)(116, 172)(117, 171)(118, 178)(119, 177)(120, 179)(121, 180)(122, 158)(123, 165)(124, 164)(125, 182)(126, 181)(127, 183)(128, 184)(129, 167)(130, 166)(131, 168)(132, 169)(133, 174)(134, 173)(135, 175)(136, 176)(137, 191)(138, 190)(139, 189)(140, 192)(141, 187)(142, 186)(143, 185)(144, 188)
	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 E19.1003
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 54
	degree seq :: [ 32^6 ]

E19.1011 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2 * Y1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 9, 57, 105, 153, 20, 68, 116, 164, 26, 74, 122, 170, 15, 63, 111, 159, 6, 54, 102, 150, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 14, 62, 110, 158, 27, 75, 123, 171, 19, 67, 115, 163, 10, 58, 106, 154, 3, 51, 99, 147, 8, 56, 104, 152)(11, 59, 107, 155, 22, 70, 118, 166, 13, 61, 109, 157, 25, 73, 121, 169, 28, 76, 124, 172, 24, 72, 120, 168, 12, 60, 108, 156, 23, 71, 119, 167)(16, 64, 112, 160, 29, 77, 125, 173, 18, 66, 114, 162, 32, 80, 128, 176, 21, 69, 117, 165, 31, 79, 127, 175, 17, 65, 113, 161, 30, 78, 126, 174)(33, 81, 129, 177, 41, 89, 137, 185, 35, 83, 131, 179, 44, 92, 140, 188, 36, 84, 132, 180, 43, 91, 139, 187, 34, 82, 130, 178, 42, 90, 138, 186)(37, 85, 133, 181, 45, 93, 141, 189, 39, 87, 135, 183, 48, 96, 144, 192, 40, 88, 136, 184, 47, 95, 143, 191, 38, 86, 134, 182, 46, 94, 142, 190)
	L = (1, 50)(2, 49)(3, 57)(4, 59)(5, 61)(6, 62)(7, 64)(8, 66)(9, 51)(10, 69)(11, 52)(12, 68)(13, 53)(14, 54)(15, 76)(16, 55)(17, 75)(18, 56)(19, 74)(20, 60)(21, 58)(22, 81)(23, 83)(24, 84)(25, 82)(26, 67)(27, 65)(28, 63)(29, 85)(30, 87)(31, 88)(32, 86)(33, 70)(34, 73)(35, 71)(36, 72)(37, 77)(38, 80)(39, 78)(40, 79)(41, 96)(42, 95)(43, 94)(44, 93)(45, 92)(46, 91)(47, 90)(48, 89)(97, 147)(98, 150)(99, 145)(100, 156)(101, 155)(102, 146)(103, 161)(104, 160)(105, 163)(106, 162)(107, 149)(108, 148)(109, 159)(110, 170)(111, 157)(112, 152)(113, 151)(114, 154)(115, 153)(116, 172)(117, 171)(118, 178)(119, 177)(120, 179)(121, 180)(122, 158)(123, 165)(124, 164)(125, 182)(126, 181)(127, 183)(128, 184)(129, 167)(130, 166)(131, 168)(132, 169)(133, 174)(134, 173)(135, 175)(136, 176)(137, 189)(138, 192)(139, 191)(140, 190)(141, 185)(142, 188)(143, 187)(144, 186)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1004
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 54
	degree seq :: [ 32^6 ]

E19.1012 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y3^-1, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 6, 54, 102, 150, 15, 63, 111, 159, 26, 74, 122, 170, 20, 68, 116, 164, 9, 57, 105, 153, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 3, 51, 99, 147, 10, 58, 106, 154, 19, 67, 115, 163, 27, 75, 123, 171, 14, 62, 110, 158, 8, 56, 104, 152)(11, 59, 107, 155, 22, 70, 118, 166, 12, 60, 108, 156, 24, 72, 120, 168, 13, 61, 109, 157, 25, 73, 121, 169, 28, 76, 124, 172, 23, 71, 119, 167)(16, 64, 112, 160, 29, 77, 125, 173, 17, 65, 113, 161, 31, 79, 127, 175, 18, 66, 114, 162, 32, 80, 128, 176, 21, 69, 117, 165, 30, 78, 126, 174)(33, 81, 129, 177, 41, 89, 137, 185, 34, 82, 130, 178, 43, 91, 139, 187, 35, 83, 131, 179, 44, 92, 140, 188, 36, 84, 132, 180, 42, 90, 138, 186)(37, 85, 133, 181, 45, 93, 141, 189, 38, 86, 134, 182, 47, 95, 143, 191, 39, 87, 135, 183, 48, 96, 144, 192, 40, 88, 136, 184, 46, 94, 142, 190)
	L = (1, 50)(2, 49)(3, 57)(4, 59)(5, 60)(6, 62)(7, 64)(8, 65)(9, 51)(10, 69)(11, 52)(12, 53)(13, 68)(14, 54)(15, 76)(16, 55)(17, 56)(18, 75)(19, 74)(20, 61)(21, 58)(22, 81)(23, 82)(24, 84)(25, 83)(26, 67)(27, 66)(28, 63)(29, 85)(30, 86)(31, 88)(32, 87)(33, 70)(34, 71)(35, 73)(36, 72)(37, 77)(38, 78)(39, 80)(40, 79)(41, 95)(42, 96)(43, 93)(44, 94)(45, 91)(46, 92)(47, 89)(48, 90)(97, 147)(98, 150)(99, 145)(100, 156)(101, 157)(102, 146)(103, 161)(104, 162)(105, 163)(106, 160)(107, 159)(108, 148)(109, 149)(110, 170)(111, 155)(112, 154)(113, 151)(114, 152)(115, 153)(116, 172)(117, 171)(118, 178)(119, 179)(120, 177)(121, 180)(122, 158)(123, 165)(124, 164)(125, 182)(126, 183)(127, 181)(128, 184)(129, 168)(130, 166)(131, 167)(132, 169)(133, 175)(134, 173)(135, 174)(136, 176)(137, 192)(138, 190)(139, 191)(140, 189)(141, 188)(142, 186)(143, 187)(144, 185)
	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 E19.1005
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 54
	degree seq :: [ 32^6 ]

E19.1013 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
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 :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y3 * Y1^-1)^2, Y3 * Y2^2 * Y3 * Y1^-2, Y2^8, Y1^8, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(9, 57, 105, 153, 18, 66, 114, 162)(10, 58, 106, 154, 19, 67, 115, 163)(11, 59, 107, 155, 21, 69, 117, 165)(13, 61, 109, 157, 23, 71, 119, 167)(14, 62, 110, 158, 24, 72, 120, 168)(15, 63, 111, 159, 25, 73, 121, 169)(17, 65, 113, 161, 27, 75, 123, 171)(20, 68, 116, 164, 31, 79, 127, 175)(22, 70, 118, 166, 33, 81, 129, 177)(26, 74, 122, 170, 37, 85, 133, 181)(28, 76, 124, 172, 39, 87, 135, 183)(29, 77, 125, 173, 40, 88, 136, 184)(30, 78, 126, 174, 41, 89, 137, 185)(32, 80, 128, 176, 42, 90, 138, 186)(34, 82, 130, 178, 44, 92, 140, 188)(35, 83, 131, 179, 45, 93, 141, 189)(36, 84, 132, 180, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(43, 91, 139, 187, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 65)(9, 64)(10, 52)(11, 68)(12, 58)(13, 56)(14, 54)(15, 55)(16, 74)(17, 73)(18, 76)(19, 78)(20, 63)(21, 62)(22, 60)(23, 82)(24, 84)(25, 80)(26, 79)(27, 83)(28, 67)(29, 66)(30, 81)(31, 70)(32, 69)(33, 91)(34, 72)(35, 71)(36, 90)(37, 77)(38, 75)(39, 93)(40, 95)(41, 92)(42, 86)(43, 85)(44, 87)(45, 88)(46, 89)(47, 96)(48, 94)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 159)(104, 157)(105, 148)(106, 156)(107, 149)(108, 166)(109, 150)(110, 165)(111, 164)(112, 153)(113, 152)(114, 173)(115, 172)(116, 155)(117, 176)(118, 175)(119, 179)(120, 178)(121, 161)(122, 160)(123, 182)(124, 162)(125, 181)(126, 163)(127, 170)(128, 169)(129, 174)(130, 167)(131, 171)(132, 168)(133, 187)(134, 186)(135, 188)(136, 189)(137, 190)(138, 180)(139, 177)(140, 185)(141, 183)(142, 192)(143, 184)(144, 191)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1006
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.1014 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1), Y2^3 * Y1^-1, Y1 * Y2^-1 * Y1^2, Y2^-2 * Y1^-2, (Y1 * Y2)^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 11, 59, 107, 155)(5, 53, 101, 149, 16, 64, 112, 160)(6, 54, 102, 150, 17, 65, 113, 161)(7, 55, 103, 151, 18, 66, 114, 162)(8, 56, 104, 152, 19, 67, 115, 163)(10, 58, 106, 154, 24, 72, 120, 168)(12, 60, 108, 156, 25, 73, 121, 169)(13, 61, 109, 157, 26, 74, 122, 170)(14, 62, 110, 158, 27, 75, 123, 171)(15, 63, 111, 159, 28, 76, 124, 172)(20, 68, 116, 164, 29, 77, 125, 173)(21, 69, 117, 165, 30, 78, 126, 174)(22, 70, 118, 166, 31, 79, 127, 175)(23, 71, 119, 167, 32, 80, 128, 176)(33, 81, 129, 177, 41, 89, 137, 185)(34, 82, 130, 178, 42, 90, 138, 186)(35, 83, 131, 179, 43, 91, 139, 187)(36, 84, 132, 180, 44, 92, 140, 188)(37, 85, 133, 181, 45, 93, 141, 189)(38, 86, 134, 182, 46, 94, 142, 190)(39, 87, 135, 183, 47, 95, 143, 191)(40, 88, 136, 184, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 60)(5, 49)(6, 58)(7, 51)(8, 54)(9, 68)(10, 53)(11, 70)(12, 72)(13, 67)(14, 52)(15, 66)(16, 69)(17, 71)(18, 62)(19, 63)(20, 64)(21, 65)(22, 57)(23, 59)(24, 61)(25, 81)(26, 83)(27, 82)(28, 84)(29, 85)(30, 87)(31, 86)(32, 88)(33, 75)(34, 76)(35, 73)(36, 74)(37, 79)(38, 80)(39, 77)(40, 78)(41, 95)(42, 93)(43, 96)(44, 94)(45, 89)(46, 90)(47, 91)(48, 92)(97, 147)(98, 152)(99, 154)(100, 157)(101, 151)(102, 145)(103, 150)(104, 149)(105, 165)(106, 146)(107, 164)(108, 163)(109, 162)(110, 168)(111, 148)(112, 167)(113, 166)(114, 156)(115, 158)(116, 161)(117, 155)(118, 160)(119, 153)(120, 159)(121, 178)(122, 177)(123, 180)(124, 179)(125, 182)(126, 181)(127, 184)(128, 183)(129, 172)(130, 170)(131, 171)(132, 169)(133, 176)(134, 174)(135, 175)(136, 173)(137, 192)(138, 191)(139, 190)(140, 189)(141, 187)(142, 185)(143, 188)(144, 186)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1007
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.1015 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2^-1 * Y1^2, Y2^3 * Y1^-1, Y2^-2 * Y1^-2, (Y1 * Y2)^2, (Y2^-1, Y1^-1), R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 11, 59, 107, 155)(5, 53, 101, 149, 16, 64, 112, 160)(6, 54, 102, 150, 17, 65, 113, 161)(7, 55, 103, 151, 18, 66, 114, 162)(8, 56, 104, 152, 19, 67, 115, 163)(10, 58, 106, 154, 24, 72, 120, 168)(12, 60, 108, 156, 25, 73, 121, 169)(13, 61, 109, 157, 26, 74, 122, 170)(14, 62, 110, 158, 27, 75, 123, 171)(15, 63, 111, 159, 28, 76, 124, 172)(20, 68, 116, 164, 29, 77, 125, 173)(21, 69, 117, 165, 30, 78, 126, 174)(22, 70, 118, 166, 31, 79, 127, 175)(23, 71, 119, 167, 32, 80, 128, 176)(33, 81, 129, 177, 41, 89, 137, 185)(34, 82, 130, 178, 42, 90, 138, 186)(35, 83, 131, 179, 43, 91, 139, 187)(36, 84, 132, 180, 44, 92, 140, 188)(37, 85, 133, 181, 45, 93, 141, 189)(38, 86, 134, 182, 46, 94, 142, 190)(39, 87, 135, 183, 47, 95, 143, 191)(40, 88, 136, 184, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 60)(5, 49)(6, 58)(7, 51)(8, 54)(9, 68)(10, 53)(11, 70)(12, 72)(13, 67)(14, 52)(15, 66)(16, 69)(17, 71)(18, 62)(19, 63)(20, 64)(21, 65)(22, 57)(23, 59)(24, 61)(25, 81)(26, 83)(27, 82)(28, 84)(29, 85)(30, 87)(31, 86)(32, 88)(33, 75)(34, 76)(35, 73)(36, 74)(37, 79)(38, 80)(39, 77)(40, 78)(41, 94)(42, 96)(43, 93)(44, 95)(45, 92)(46, 91)(47, 90)(48, 89)(97, 147)(98, 152)(99, 154)(100, 157)(101, 151)(102, 145)(103, 150)(104, 149)(105, 165)(106, 146)(107, 164)(108, 163)(109, 162)(110, 168)(111, 148)(112, 167)(113, 166)(114, 156)(115, 158)(116, 161)(117, 155)(118, 160)(119, 153)(120, 159)(121, 178)(122, 177)(123, 180)(124, 179)(125, 182)(126, 181)(127, 184)(128, 183)(129, 172)(130, 170)(131, 171)(132, 169)(133, 176)(134, 174)(135, 175)(136, 173)(137, 189)(138, 190)(139, 191)(140, 192)(141, 186)(142, 188)(143, 185)(144, 187)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1008
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.1016 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 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, Y3^3, Y3 * Y2^-1 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1 * Y1)^2, (Y2^-2 * R)^2, (Y2^-2 * Y1 * Y3^-1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 16, 64)(6, 54, 8, 56)(7, 55, 17, 65)(9, 57, 13, 61)(12, 60, 22, 70)(14, 62, 21, 69)(15, 63, 20, 68)(18, 66, 19, 67)(23, 71, 25, 73)(24, 72, 35, 83)(26, 74, 33, 81)(27, 75, 28, 76)(29, 77, 32, 80)(30, 78, 40, 88)(31, 79, 41, 89)(34, 82, 37, 85)(36, 84, 42, 90)(38, 86, 44, 92)(39, 87, 43, 91)(45, 93, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 108, 156, 120, 168, 132, 180, 126, 174, 114, 162, 101, 149)(98, 146, 103, 151, 115, 163, 127, 175, 138, 186, 130, 178, 118, 166, 105, 153)(100, 148, 110, 158, 121, 169, 134, 182, 142, 190, 135, 183, 123, 171, 111, 159)(102, 150, 109, 157, 122, 170, 133, 181, 143, 191, 137, 185, 125, 173, 113, 161)(104, 152, 116, 164, 128, 176, 139, 187, 144, 192, 140, 188, 129, 177, 117, 165)(106, 154, 112, 160, 124, 172, 136, 184, 141, 189, 131, 179, 119, 167, 107, 155)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 113)(6, 97)(7, 112)(8, 106)(9, 107)(10, 98)(11, 117)(12, 121)(13, 110)(14, 99)(15, 101)(16, 116)(17, 111)(18, 123)(19, 128)(20, 103)(21, 105)(22, 129)(23, 118)(24, 133)(25, 122)(26, 108)(27, 125)(28, 115)(29, 114)(30, 137)(31, 136)(32, 124)(33, 119)(34, 131)(35, 140)(36, 142)(37, 134)(38, 120)(39, 126)(40, 139)(41, 135)(42, 144)(43, 127)(44, 130)(45, 138)(46, 143)(47, 132)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.1017 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 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^-1 * Y3 * Y2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1 * Y1)^2, (Y2^-2 * R)^2, (Y2^2 * Y1)^2, Y3^6, Y2^-2 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 21, 69)(9, 57, 27, 75)(12, 60, 29, 77)(13, 61, 32, 80)(14, 62, 26, 74)(15, 63, 30, 78)(16, 64, 24, 72)(18, 66, 40, 88)(19, 67, 22, 70)(20, 68, 25, 73)(23, 71, 33, 81)(28, 76, 43, 91)(31, 79, 38, 86)(34, 82, 39, 87)(35, 83, 47, 95)(36, 84, 48, 96)(37, 85, 46, 94)(41, 89, 45, 93)(42, 90, 44, 92)(97, 145, 99, 147, 108, 156, 129, 177, 133, 181, 139, 187, 115, 163, 101, 149)(98, 146, 103, 151, 118, 166, 128, 176, 142, 190, 136, 184, 125, 173, 105, 153)(100, 148, 110, 158, 130, 178, 137, 185, 116, 164, 132, 180, 134, 182, 112, 160)(102, 150, 109, 157, 131, 179, 117, 165, 111, 159, 123, 171, 138, 186, 114, 162)(104, 152, 120, 168, 140, 188, 144, 192, 126, 174, 141, 189, 143, 191, 122, 170)(106, 154, 119, 167, 127, 175, 107, 155, 121, 169, 113, 161, 135, 183, 124, 172)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 119)(8, 121)(9, 124)(10, 98)(11, 122)(12, 130)(13, 132)(14, 99)(15, 133)(16, 101)(17, 120)(18, 137)(19, 134)(20, 102)(21, 112)(22, 140)(23, 141)(24, 103)(25, 142)(26, 105)(27, 110)(28, 144)(29, 143)(30, 106)(31, 118)(32, 107)(33, 117)(34, 138)(35, 108)(36, 139)(37, 116)(38, 131)(39, 125)(40, 113)(41, 129)(42, 115)(43, 123)(44, 135)(45, 136)(46, 126)(47, 127)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.1018 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 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, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, R * Y2 * Y3 * R * Y2^-1, Y3^-1 * Y2^-1 * Y1 * Y2 * Y1, Y2 * Y3^-1 * Y2 * Y3^2, Y3 * Y2^-2 * Y3^2, (Y1 * Y2^-2)^2, Y2^3 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 18, 66)(6, 54, 8, 56)(7, 55, 13, 61)(9, 57, 23, 71)(12, 60, 31, 79)(14, 62, 29, 77)(15, 63, 32, 80)(16, 64, 34, 82)(17, 65, 26, 74)(19, 67, 43, 91)(20, 68, 25, 73)(21, 69, 27, 75)(22, 70, 44, 92)(24, 72, 28, 76)(30, 78, 37, 85)(33, 81, 42, 90)(35, 83, 38, 86)(36, 84, 41, 89)(39, 87, 45, 93)(40, 88, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 108, 156, 133, 181, 144, 192, 138, 186, 116, 164, 101, 149)(98, 146, 103, 151, 121, 169, 139, 187, 143, 191, 140, 188, 127, 175, 105, 153)(100, 148, 111, 159, 134, 182, 117, 165, 137, 185, 110, 158, 120, 168, 113, 161)(102, 150, 118, 166, 112, 160, 115, 163, 136, 184, 109, 157, 135, 183, 119, 167)(104, 152, 123, 171, 141, 189, 128, 176, 142, 190, 122, 170, 130, 178, 125, 173)(106, 154, 129, 177, 124, 172, 126, 174, 132, 180, 107, 155, 131, 179, 114, 162)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 115)(6, 97)(7, 107)(8, 124)(9, 126)(10, 98)(11, 125)(12, 134)(13, 113)(14, 99)(15, 138)(16, 108)(17, 133)(18, 123)(19, 110)(20, 120)(21, 101)(22, 117)(23, 111)(24, 102)(25, 141)(26, 103)(27, 140)(28, 121)(29, 139)(30, 122)(31, 130)(32, 105)(33, 128)(34, 106)(35, 127)(36, 143)(37, 119)(38, 136)(39, 116)(40, 144)(41, 135)(42, 118)(43, 114)(44, 129)(45, 132)(46, 131)(47, 142)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.1019 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 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, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y3^-1 * Y2 * R * Y2^-1 * R, Y3^-1 * Y2 * Y1 * Y2^-1 * Y1, Y2 * Y3^-2 * Y2 * Y3, Y3 * Y2^2 * Y3^2, (Y2^-1 * Y1 * Y2^-1)^2, Y3^-1 * Y2^3 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 18, 66)(6, 54, 8, 56)(7, 55, 22, 70)(9, 57, 19, 67)(12, 60, 31, 79)(13, 61, 36, 84)(14, 62, 30, 78)(15, 63, 32, 80)(16, 64, 34, 82)(17, 65, 27, 75)(20, 68, 25, 73)(21, 69, 28, 76)(23, 71, 44, 92)(24, 72, 29, 77)(26, 74, 42, 90)(33, 81, 37, 85)(35, 83, 40, 88)(38, 86, 45, 93)(39, 87, 46, 94)(41, 89, 43, 91)(47, 95, 48, 96)(97, 145, 99, 147, 108, 156, 133, 181, 144, 192, 138, 186, 116, 164, 101, 149)(98, 146, 103, 151, 121, 169, 140, 188, 143, 191, 132, 180, 127, 175, 105, 153)(100, 148, 111, 159, 120, 168, 117, 165, 137, 185, 110, 158, 136, 184, 113, 161)(102, 150, 118, 166, 134, 182, 115, 163, 135, 183, 109, 157, 112, 160, 119, 167)(104, 152, 124, 172, 130, 178, 128, 176, 142, 190, 123, 171, 141, 189, 126, 174)(106, 154, 107, 155, 131, 179, 114, 162, 139, 187, 122, 170, 125, 173, 129, 177)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 115)(6, 97)(7, 122)(8, 125)(9, 114)(10, 98)(11, 126)(12, 120)(13, 117)(14, 99)(15, 138)(16, 116)(17, 133)(18, 124)(19, 111)(20, 136)(21, 101)(22, 113)(23, 110)(24, 102)(25, 130)(26, 128)(27, 103)(28, 132)(29, 127)(30, 140)(31, 141)(32, 105)(33, 123)(34, 106)(35, 121)(36, 107)(37, 119)(38, 108)(39, 144)(40, 135)(41, 134)(42, 118)(43, 143)(44, 129)(45, 139)(46, 131)(47, 142)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.1020 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y1 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, (Y2^-2 * R)^2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 16, 64)(6, 54, 8, 56)(7, 55, 19, 67)(9, 57, 24, 72)(12, 60, 26, 74)(13, 61, 30, 78)(14, 62, 28, 76)(15, 63, 34, 82)(17, 65, 37, 85)(18, 66, 20, 68)(21, 69, 31, 79)(22, 70, 41, 89)(23, 71, 43, 91)(25, 73, 39, 87)(27, 75, 45, 93)(29, 77, 35, 83)(32, 80, 36, 84)(33, 81, 44, 92)(38, 86, 42, 90)(40, 88, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 127, 175, 144, 192, 135, 183, 114, 162, 101, 149)(98, 146, 103, 151, 116, 164, 126, 174, 142, 190, 133, 181, 122, 170, 105, 153)(100, 148, 110, 158, 128, 176, 137, 185, 141, 189, 139, 187, 131, 179, 111, 159)(102, 150, 109, 157, 129, 177, 115, 163, 136, 184, 120, 168, 134, 182, 113, 161)(104, 152, 118, 166, 138, 186, 124, 172, 143, 191, 130, 178, 140, 188, 119, 167)(106, 154, 117, 165, 125, 173, 107, 155, 123, 171, 112, 160, 132, 180, 121, 169)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 113)(6, 97)(7, 117)(8, 106)(9, 121)(10, 98)(11, 124)(12, 128)(13, 110)(14, 99)(15, 101)(16, 130)(17, 111)(18, 131)(19, 137)(20, 138)(21, 118)(22, 103)(23, 105)(24, 139)(25, 119)(26, 140)(27, 142)(28, 126)(29, 116)(30, 107)(31, 115)(32, 129)(33, 108)(34, 133)(35, 134)(36, 122)(37, 112)(38, 114)(39, 120)(40, 144)(41, 127)(42, 125)(43, 135)(44, 132)(45, 136)(46, 143)(47, 123)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.1021 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y1 * Y2^-1 * Y3 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y2^-2 * R)^2, Y3^6, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-2 * Y3, Y2^3 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 18, 66)(9, 57, 13, 61)(12, 60, 25, 73)(14, 62, 27, 75)(15, 63, 26, 74)(16, 64, 36, 84)(19, 67, 21, 69)(20, 68, 23, 71)(22, 70, 39, 87)(24, 72, 32, 80)(28, 76, 30, 78)(29, 77, 44, 92)(31, 79, 47, 95)(33, 81, 42, 90)(34, 82, 45, 93)(35, 83, 48, 96)(37, 85, 38, 86)(40, 88, 43, 91)(41, 89, 46, 94)(97, 145, 99, 147, 108, 156, 125, 173, 130, 178, 137, 185, 115, 163, 101, 149)(98, 146, 103, 151, 117, 165, 138, 186, 141, 189, 144, 192, 121, 169, 105, 153)(100, 148, 110, 158, 126, 174, 135, 183, 116, 164, 128, 176, 133, 181, 112, 160)(102, 150, 109, 157, 127, 175, 131, 179, 111, 159, 129, 177, 136, 184, 114, 162)(104, 152, 118, 166, 139, 187, 123, 171, 122, 170, 132, 180, 143, 191, 120, 168)(106, 154, 113, 161, 134, 182, 142, 190, 119, 167, 140, 188, 124, 172, 107, 155)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 113)(8, 119)(9, 107)(10, 98)(11, 123)(12, 126)(13, 128)(14, 99)(15, 130)(16, 101)(17, 132)(18, 135)(19, 133)(20, 102)(21, 139)(22, 103)(23, 141)(24, 105)(25, 143)(26, 106)(27, 138)(28, 121)(29, 131)(30, 136)(31, 108)(32, 137)(33, 110)(34, 116)(35, 112)(36, 144)(37, 127)(38, 117)(39, 125)(40, 115)(41, 129)(42, 142)(43, 124)(44, 118)(45, 122)(46, 120)(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) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.1022 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, R * Y2 * Y3 * R * Y2^-1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y1, Y3 * Y2^-2 * Y3^2, Y2 * Y3^-1 * Y2 * Y3^2, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1, Y3 * Y2^3 * Y3 * Y2, (Y2^-1 * R * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 18, 66)(6, 54, 8, 56)(7, 55, 22, 70)(9, 57, 19, 67)(12, 60, 31, 79)(13, 61, 35, 83)(14, 62, 32, 80)(15, 63, 30, 78)(16, 64, 34, 82)(17, 65, 28, 76)(20, 68, 25, 73)(21, 69, 27, 75)(23, 71, 43, 91)(24, 72, 29, 77)(26, 74, 41, 89)(33, 81, 36, 84)(37, 85, 45, 93)(38, 86, 44, 92)(39, 87, 46, 94)(40, 88, 42, 90)(47, 95, 48, 96)(97, 145, 99, 147, 108, 156, 132, 180, 144, 192, 137, 185, 116, 164, 101, 149)(98, 146, 103, 151, 121, 169, 139, 187, 143, 191, 131, 179, 127, 175, 105, 153)(100, 148, 111, 159, 133, 181, 117, 165, 136, 184, 110, 158, 120, 168, 113, 161)(102, 150, 118, 166, 112, 160, 115, 163, 135, 183, 109, 157, 134, 182, 119, 167)(104, 152, 124, 172, 140, 188, 128, 176, 142, 190, 123, 171, 130, 178, 126, 174)(106, 154, 107, 155, 125, 173, 114, 162, 138, 186, 122, 170, 141, 189, 129, 177)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 115)(6, 97)(7, 122)(8, 125)(9, 114)(10, 98)(11, 128)(12, 133)(13, 113)(14, 99)(15, 137)(16, 108)(17, 132)(18, 123)(19, 110)(20, 120)(21, 101)(22, 117)(23, 111)(24, 102)(25, 140)(26, 126)(27, 103)(28, 131)(29, 121)(30, 139)(31, 130)(32, 105)(33, 124)(34, 106)(35, 107)(36, 119)(37, 135)(38, 116)(39, 144)(40, 134)(41, 118)(42, 143)(43, 129)(44, 138)(45, 127)(46, 141)(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) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.1023 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y3^-1 * Y2^-1 * Y1 * Y2 * Y1, Y3^-1 * Y2 * R * Y2^-1 * R, Y3 * Y2^2 * Y3^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3, Y3^-1 * Y2^3 * Y3^-1 * Y2, (Y2^2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 18, 66)(6, 54, 8, 56)(7, 55, 13, 61)(9, 57, 23, 71)(12, 60, 31, 79)(14, 62, 32, 80)(15, 63, 29, 77)(16, 64, 34, 82)(17, 65, 27, 75)(19, 67, 42, 90)(20, 68, 25, 73)(21, 69, 26, 74)(22, 70, 43, 91)(24, 72, 28, 76)(30, 78, 36, 84)(33, 81, 41, 89)(35, 83, 40, 88)(37, 85, 45, 93)(38, 86, 46, 94)(39, 87, 44, 92)(47, 95, 48, 96)(97, 145, 99, 147, 108, 156, 132, 180, 144, 192, 137, 185, 116, 164, 101, 149)(98, 146, 103, 151, 121, 169, 138, 186, 143, 191, 139, 187, 127, 175, 105, 153)(100, 148, 111, 159, 120, 168, 117, 165, 136, 184, 110, 158, 135, 183, 113, 161)(102, 150, 118, 166, 133, 181, 115, 163, 134, 182, 109, 157, 112, 160, 119, 167)(104, 152, 123, 171, 130, 178, 128, 176, 142, 190, 122, 170, 141, 189, 125, 173)(106, 154, 129, 177, 140, 188, 126, 174, 131, 179, 107, 155, 124, 172, 114, 162)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 115)(6, 97)(7, 107)(8, 124)(9, 126)(10, 98)(11, 128)(12, 120)(13, 117)(14, 99)(15, 137)(16, 116)(17, 132)(18, 122)(19, 111)(20, 135)(21, 101)(22, 113)(23, 110)(24, 102)(25, 130)(26, 103)(27, 139)(28, 127)(29, 138)(30, 123)(31, 141)(32, 105)(33, 125)(34, 106)(35, 143)(36, 119)(37, 108)(38, 144)(39, 134)(40, 133)(41, 118)(42, 114)(43, 129)(44, 121)(45, 131)(46, 140)(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) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.1024 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = C2 x ((C3 x Q8) : C2) (small group id <96, 148>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^2 * Y3 * Y2^-2, Y2^8, Y1^8, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 16, 64)(9, 57, 18, 66)(10, 58, 19, 67)(11, 59, 21, 69)(13, 61, 23, 71)(14, 62, 24, 72)(15, 63, 25, 73)(17, 65, 27, 75)(20, 68, 31, 79)(22, 70, 33, 81)(26, 74, 37, 85)(28, 76, 39, 87)(29, 77, 40, 88)(30, 78, 41, 89)(32, 80, 42, 90)(34, 82, 44, 92)(35, 83, 45, 93)(36, 84, 46, 94)(38, 86, 47, 95)(43, 91, 48, 96)(97, 98, 101, 107, 116, 111, 103, 99)(100, 105, 112, 122, 127, 118, 108, 106)(102, 109, 104, 113, 121, 128, 117, 110)(114, 124, 115, 126, 129, 139, 133, 125)(119, 130, 120, 132, 138, 134, 123, 131)(135, 142, 136, 140, 144, 141, 137, 143)(145, 147, 151, 159, 164, 155, 149, 146)(148, 154, 156, 166, 175, 170, 160, 153)(150, 158, 165, 176, 169, 161, 152, 157)(162, 173, 181, 187, 177, 174, 163, 172)(167, 179, 171, 182, 186, 180, 168, 178)(183, 191, 185, 189, 192, 188, 184, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1025
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.1025 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = C2 x ((C3 x Q8) : C2) (small group id <96, 148>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^2 * Y3 * Y2^-2, Y2^8, Y1^8, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(9, 57, 105, 153, 18, 66, 114, 162)(10, 58, 106, 154, 19, 67, 115, 163)(11, 59, 107, 155, 21, 69, 117, 165)(13, 61, 109, 157, 23, 71, 119, 167)(14, 62, 110, 158, 24, 72, 120, 168)(15, 63, 111, 159, 25, 73, 121, 169)(17, 65, 113, 161, 27, 75, 123, 171)(20, 68, 116, 164, 31, 79, 127, 175)(22, 70, 118, 166, 33, 81, 129, 177)(26, 74, 122, 170, 37, 85, 133, 181)(28, 76, 124, 172, 39, 87, 135, 183)(29, 77, 125, 173, 40, 88, 136, 184)(30, 78, 126, 174, 41, 89, 137, 185)(32, 80, 128, 176, 42, 90, 138, 186)(34, 82, 130, 178, 44, 92, 140, 188)(35, 83, 131, 179, 45, 93, 141, 189)(36, 84, 132, 180, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(43, 91, 139, 187, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 65)(9, 64)(10, 52)(11, 68)(12, 58)(13, 56)(14, 54)(15, 55)(16, 74)(17, 73)(18, 76)(19, 78)(20, 63)(21, 62)(22, 60)(23, 82)(24, 84)(25, 80)(26, 79)(27, 83)(28, 67)(29, 66)(30, 81)(31, 70)(32, 69)(33, 91)(34, 72)(35, 71)(36, 90)(37, 77)(38, 75)(39, 94)(40, 92)(41, 95)(42, 86)(43, 85)(44, 96)(45, 89)(46, 88)(47, 87)(48, 93)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 159)(104, 157)(105, 148)(106, 156)(107, 149)(108, 166)(109, 150)(110, 165)(111, 164)(112, 153)(113, 152)(114, 173)(115, 172)(116, 155)(117, 176)(118, 175)(119, 179)(120, 178)(121, 161)(122, 160)(123, 182)(124, 162)(125, 181)(126, 163)(127, 170)(128, 169)(129, 174)(130, 167)(131, 171)(132, 168)(133, 187)(134, 186)(135, 191)(136, 190)(137, 189)(138, 180)(139, 177)(140, 184)(141, 192)(142, 183)(143, 185)(144, 188)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1024
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.1026 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^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, Y2^2, Y3^2, Y2 * Y3, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y1^8, Y1^8, (Y1 * Y2 * Y1^-1 * Y3 * Y1)^2, (Y2 * Y1^-4)^2, (Y2 * Y1^2 * Y2 * Y1^-1)^2 ]
Map::
	R = (1, 50, 2, 53, 5, 59, 11, 69, 21, 68, 20, 58, 10, 52, 4, 49)(3, 55, 7, 63, 15, 75, 27, 84, 36, 79, 31, 65, 17, 56, 8, 51)(6, 61, 13, 73, 25, 89, 41, 83, 35, 92, 44, 74, 26, 62, 14, 54)(9, 66, 18, 80, 32, 86, 38, 70, 22, 85, 37, 77, 29, 64, 16, 57)(12, 71, 23, 87, 39, 81, 33, 67, 19, 82, 34, 88, 40, 72, 24, 60)(28, 93, 45, 96, 48, 90, 42, 78, 30, 94, 46, 95, 47, 91, 43, 76)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 36)(24, 37)(25, 42)(26, 43)(27, 44)(29, 45)(31, 38)(32, 46)(34, 41)(39, 47)(40, 48)(49, 51)(50, 54)(52, 57)(53, 60)(55, 64)(56, 61)(58, 67)(59, 70)(62, 71)(63, 76)(65, 78)(66, 81)(68, 83)(69, 84)(72, 85)(73, 90)(74, 91)(75, 92)(77, 93)(79, 86)(80, 94)(82, 89)(87, 95)(88, 96)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.1027 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^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, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y3 * R * Y2, Y1^-2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1, Y1^8 ]
Map::
	R = (1, 50, 2, 53, 5, 59, 11, 71, 23, 70, 22, 58, 10, 52, 4, 49)(3, 55, 7, 63, 15, 76, 28, 86, 38, 83, 35, 66, 18, 56, 8, 51)(6, 61, 13, 75, 27, 89, 41, 81, 33, 65, 17, 78, 30, 62, 14, 54)(9, 67, 19, 80, 32, 64, 16, 72, 24, 87, 39, 84, 36, 68, 20, 57)(12, 73, 25, 88, 40, 85, 37, 69, 21, 77, 29, 90, 42, 74, 26, 60)(31, 93, 45, 96, 48, 91, 43, 82, 34, 94, 46, 95, 47, 92, 44, 79)
	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, 26)(20, 35)(22, 33)(23, 38)(25, 41)(27, 43)(30, 44)(32, 46)(36, 45)(37, 39)(40, 47)(42, 48)(49, 51)(50, 54)(52, 57)(53, 60)(55, 64)(56, 65)(58, 69)(59, 72)(61, 76)(62, 77)(63, 79)(66, 82)(67, 74)(68, 83)(70, 81)(71, 86)(73, 89)(75, 91)(78, 92)(80, 94)(84, 93)(85, 87)(88, 95)(90, 96)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.1028 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3 * Y2 * Y3 * Y1 * Y3, Y3^8, Y3^-2 * Y2 * Y3^4 * Y2 * Y3^-2, (Y3^-4 * Y1)^2 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 31, 79, 20, 68, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 23, 71, 40, 88, 26, 74, 14, 62, 6, 54)(7, 55, 13, 61, 24, 72, 42, 90, 35, 83, 39, 87, 28, 76, 15, 63)(9, 57, 18, 66, 33, 81, 44, 92, 30, 78, 37, 85, 21, 69, 11, 59)(16, 64, 27, 75, 45, 93, 32, 80, 19, 67, 34, 82, 46, 94, 29, 77)(22, 70, 36, 84, 47, 95, 41, 89, 25, 73, 43, 91, 48, 96, 38, 86)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 112)(106, 115)(108, 118)(110, 121)(111, 123)(113, 126)(114, 128)(116, 131)(117, 132)(119, 135)(120, 137)(122, 140)(124, 134)(125, 133)(127, 136)(129, 139)(130, 138)(141, 144)(142, 143)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 160)(154, 163)(156, 166)(158, 169)(159, 171)(161, 174)(162, 176)(164, 179)(165, 180)(167, 183)(168, 185)(170, 188)(172, 182)(173, 181)(175, 184)(177, 187)(178, 186)(189, 192)(190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1032
Graph:: simple bipartite
	v = 54 e = 96 f = 6
	degree seq :: [ 2^48, 16^6 ]

E19.1029 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3^-3 * Y1 * Y3 * Y1, Y3^8 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 18, 66, 35, 83, 22, 70, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 26, 74, 42, 90, 30, 78, 14, 62, 6, 54)(7, 55, 15, 63, 31, 79, 43, 91, 28, 76, 13, 61, 27, 75, 16, 64)(9, 57, 19, 67, 24, 72, 11, 59, 23, 71, 38, 86, 36, 84, 20, 68)(17, 65, 33, 81, 46, 94, 37, 85, 21, 69, 32, 80, 45, 93, 34, 82)(25, 73, 40, 88, 48, 96, 44, 92, 29, 77, 39, 87, 47, 95, 41, 89)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 121)(110, 125)(111, 122)(112, 128)(114, 119)(115, 130)(116, 126)(118, 124)(120, 135)(123, 137)(127, 140)(129, 139)(131, 138)(132, 136)(133, 134)(141, 144)(142, 143)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 161)(154, 165)(156, 169)(158, 173)(159, 170)(160, 176)(162, 167)(163, 178)(164, 174)(166, 172)(168, 183)(171, 185)(175, 188)(177, 187)(179, 186)(180, 184)(181, 182)(189, 192)(190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1033
Graph:: simple bipartite
	v = 54 e = 96 f = 6
	degree seq :: [ 2^48, 16^6 ]

E19.1030 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^3 * Y2^-2 * Y1 * Y2^-2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-3, Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-2, Y2^8, Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^8, Y3 * Y2 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-1, Y2 * Y3 * Y2^3 * Y1^-1 * Y3 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 16, 64)(9, 57, 20, 68)(10, 58, 22, 70)(11, 59, 24, 72)(13, 61, 28, 76)(14, 62, 30, 78)(15, 63, 31, 79)(17, 65, 26, 74)(18, 66, 35, 83)(19, 67, 36, 84)(21, 69, 37, 85)(23, 71, 38, 86)(25, 73, 41, 89)(27, 75, 43, 91)(29, 77, 44, 92)(32, 80, 39, 87)(33, 81, 45, 93)(34, 82, 46, 94)(40, 88, 47, 95)(42, 90, 48, 96)(97, 98, 101, 107, 119, 111, 103, 99)(100, 105, 115, 124, 134, 131, 117, 106)(102, 109, 123, 137, 127, 118, 125, 110)(104, 113, 129, 116, 120, 135, 130, 114)(108, 121, 136, 128, 112, 126, 138, 122)(132, 142, 144, 139, 133, 141, 143, 140)(145, 147, 151, 159, 167, 155, 149, 146)(148, 154, 165, 179, 182, 172, 163, 153)(150, 158, 173, 166, 175, 185, 171, 157)(152, 162, 178, 183, 168, 164, 177, 161)(156, 170, 186, 174, 160, 176, 184, 169)(180, 188, 191, 189, 181, 187, 192, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1034
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.1031 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y3, Y1^8, Y1^3 * Y2^-2 * Y1 * Y2^-1 * Y1, Y2^8, (Y3 * Y1^-4)^2, Y2^2 * Y3 * Y1^2 * Y2^-2 * Y3 * Y1^-2, Y2 * Y3 * Y1^-3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2^3 * Y3 * Y1 * Y2^-3 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 16, 64)(9, 57, 18, 66)(10, 58, 13, 61)(11, 59, 22, 70)(14, 62, 23, 71)(15, 63, 27, 75)(17, 65, 29, 77)(19, 67, 33, 81)(20, 68, 35, 83)(21, 69, 36, 84)(24, 72, 37, 85)(25, 73, 42, 90)(26, 74, 44, 92)(28, 76, 41, 89)(30, 78, 45, 93)(31, 79, 46, 94)(32, 80, 43, 91)(34, 82, 38, 86)(39, 87, 47, 95)(40, 88, 48, 96)(97, 98, 101, 107, 117, 111, 103, 99)(100, 105, 115, 128, 132, 130, 116, 106)(102, 109, 121, 137, 123, 139, 122, 110)(104, 113, 126, 134, 118, 133, 127, 114)(108, 119, 135, 125, 112, 124, 136, 120)(129, 142, 144, 138, 131, 141, 143, 140)(145, 147, 151, 159, 165, 155, 149, 146)(148, 154, 164, 178, 180, 176, 163, 153)(150, 158, 170, 187, 171, 185, 169, 157)(152, 162, 175, 181, 166, 182, 174, 161)(156, 168, 184, 172, 160, 173, 183, 167)(177, 188, 191, 189, 179, 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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1035
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 4^24, 8^12 ]

E19.1032 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3 * Y2 * Y3 * Y1 * Y3, Y3^8, Y3^-2 * Y2 * Y3^4 * Y2 * Y3^-2, (Y3^-4 * Y1)^2 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 17, 65, 113, 161, 31, 79, 127, 175, 20, 68, 116, 164, 10, 58, 106, 154, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 12, 60, 108, 156, 23, 71, 119, 167, 40, 88, 136, 184, 26, 74, 122, 170, 14, 62, 110, 158, 6, 54, 102, 150)(7, 55, 103, 151, 13, 61, 109, 157, 24, 72, 120, 168, 42, 90, 138, 186, 35, 83, 131, 179, 39, 87, 135, 183, 28, 76, 124, 172, 15, 63, 111, 159)(9, 57, 105, 153, 18, 66, 114, 162, 33, 81, 129, 177, 44, 92, 140, 188, 30, 78, 126, 174, 37, 85, 133, 181, 21, 69, 117, 165, 11, 59, 107, 155)(16, 64, 112, 160, 27, 75, 123, 171, 45, 93, 141, 189, 32, 80, 128, 176, 19, 67, 115, 163, 34, 82, 130, 178, 46, 94, 142, 190, 29, 77, 125, 173)(22, 70, 118, 166, 36, 84, 132, 180, 47, 95, 143, 191, 41, 89, 137, 185, 25, 73, 121, 169, 43, 91, 139, 187, 48, 96, 144, 192, 38, 86, 134, 182)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 64)(9, 52)(10, 67)(11, 53)(12, 70)(13, 54)(14, 73)(15, 75)(16, 56)(17, 78)(18, 80)(19, 58)(20, 83)(21, 84)(22, 60)(23, 87)(24, 89)(25, 62)(26, 92)(27, 63)(28, 86)(29, 85)(30, 65)(31, 88)(32, 66)(33, 91)(34, 90)(35, 68)(36, 69)(37, 77)(38, 76)(39, 71)(40, 79)(41, 72)(42, 82)(43, 81)(44, 74)(45, 96)(46, 95)(47, 94)(48, 93)(97, 146)(98, 145)(99, 151)(100, 153)(101, 155)(102, 157)(103, 147)(104, 160)(105, 148)(106, 163)(107, 149)(108, 166)(109, 150)(110, 169)(111, 171)(112, 152)(113, 174)(114, 176)(115, 154)(116, 179)(117, 180)(118, 156)(119, 183)(120, 185)(121, 158)(122, 188)(123, 159)(124, 182)(125, 181)(126, 161)(127, 184)(128, 162)(129, 187)(130, 186)(131, 164)(132, 165)(133, 173)(134, 172)(135, 167)(136, 175)(137, 168)(138, 178)(139, 177)(140, 170)(141, 192)(142, 191)(143, 190)(144, 189)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1028
Transitivity :: VT+
Graph::
	v = 6 e = 96 f = 54
	degree seq :: [ 32^6 ]

E19.1033 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3^-3 * Y1 * Y3 * Y1, Y3^8 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 18, 66, 114, 162, 35, 83, 131, 179, 22, 70, 118, 166, 10, 58, 106, 154, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 12, 60, 108, 156, 26, 74, 122, 170, 42, 90, 138, 186, 30, 78, 126, 174, 14, 62, 110, 158, 6, 54, 102, 150)(7, 55, 103, 151, 15, 63, 111, 159, 31, 79, 127, 175, 43, 91, 139, 187, 28, 76, 124, 172, 13, 61, 109, 157, 27, 75, 123, 171, 16, 64, 112, 160)(9, 57, 105, 153, 19, 67, 115, 163, 24, 72, 120, 168, 11, 59, 107, 155, 23, 71, 119, 167, 38, 86, 134, 182, 36, 84, 132, 180, 20, 68, 116, 164)(17, 65, 113, 161, 33, 81, 129, 177, 46, 94, 142, 190, 37, 85, 133, 181, 21, 69, 117, 165, 32, 80, 128, 176, 45, 93, 141, 189, 34, 82, 130, 178)(25, 73, 121, 169, 40, 88, 136, 184, 48, 96, 144, 192, 44, 92, 140, 188, 29, 77, 125, 173, 39, 87, 135, 183, 47, 95, 143, 191, 41, 89, 137, 185)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 65)(9, 52)(10, 69)(11, 53)(12, 73)(13, 54)(14, 77)(15, 74)(16, 80)(17, 56)(18, 71)(19, 82)(20, 78)(21, 58)(22, 76)(23, 66)(24, 87)(25, 60)(26, 63)(27, 89)(28, 70)(29, 62)(30, 68)(31, 92)(32, 64)(33, 91)(34, 67)(35, 90)(36, 88)(37, 86)(38, 85)(39, 72)(40, 84)(41, 75)(42, 83)(43, 81)(44, 79)(45, 96)(46, 95)(47, 94)(48, 93)(97, 146)(98, 145)(99, 151)(100, 153)(101, 155)(102, 157)(103, 147)(104, 161)(105, 148)(106, 165)(107, 149)(108, 169)(109, 150)(110, 173)(111, 170)(112, 176)(113, 152)(114, 167)(115, 178)(116, 174)(117, 154)(118, 172)(119, 162)(120, 183)(121, 156)(122, 159)(123, 185)(124, 166)(125, 158)(126, 164)(127, 188)(128, 160)(129, 187)(130, 163)(131, 186)(132, 184)(133, 182)(134, 181)(135, 168)(136, 180)(137, 171)(138, 179)(139, 177)(140, 175)(141, 192)(142, 191)(143, 190)(144, 189)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1029
Transitivity :: VT+
Graph::
	v = 6 e = 96 f = 54
	degree seq :: [ 32^6 ]

E19.1034 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^3 * Y2^-2 * Y1 * Y2^-2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-3, Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-2, Y2^8, Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^8, Y3 * Y2 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-1, Y2 * Y3 * Y2^3 * Y1^-1 * Y3 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(9, 57, 105, 153, 20, 68, 116, 164)(10, 58, 106, 154, 22, 70, 118, 166)(11, 59, 107, 155, 24, 72, 120, 168)(13, 61, 109, 157, 28, 76, 124, 172)(14, 62, 110, 158, 30, 78, 126, 174)(15, 63, 111, 159, 31, 79, 127, 175)(17, 65, 113, 161, 26, 74, 122, 170)(18, 66, 114, 162, 35, 83, 131, 179)(19, 67, 115, 163, 36, 84, 132, 180)(21, 69, 117, 165, 37, 85, 133, 181)(23, 71, 119, 167, 38, 86, 134, 182)(25, 73, 121, 169, 41, 89, 137, 185)(27, 75, 123, 171, 43, 91, 139, 187)(29, 77, 125, 173, 44, 92, 140, 188)(32, 80, 128, 176, 39, 87, 135, 183)(33, 81, 129, 177, 45, 93, 141, 189)(34, 82, 130, 178, 46, 94, 142, 190)(40, 88, 136, 184, 47, 95, 143, 191)(42, 90, 138, 186, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 65)(9, 67)(10, 52)(11, 71)(12, 73)(13, 75)(14, 54)(15, 55)(16, 78)(17, 81)(18, 56)(19, 76)(20, 72)(21, 58)(22, 77)(23, 63)(24, 87)(25, 88)(26, 60)(27, 89)(28, 86)(29, 62)(30, 90)(31, 70)(32, 64)(33, 68)(34, 66)(35, 69)(36, 94)(37, 93)(38, 83)(39, 82)(40, 80)(41, 79)(42, 74)(43, 85)(44, 84)(45, 95)(46, 96)(47, 92)(48, 91)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 159)(104, 162)(105, 148)(106, 165)(107, 149)(108, 170)(109, 150)(110, 173)(111, 167)(112, 176)(113, 152)(114, 178)(115, 153)(116, 177)(117, 179)(118, 175)(119, 155)(120, 164)(121, 156)(122, 186)(123, 157)(124, 163)(125, 166)(126, 160)(127, 185)(128, 184)(129, 161)(130, 183)(131, 182)(132, 188)(133, 187)(134, 172)(135, 168)(136, 169)(137, 171)(138, 174)(139, 192)(140, 191)(141, 181)(142, 180)(143, 189)(144, 190)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1030
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.1035 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y3, Y1^8, Y1^3 * Y2^-2 * Y1 * Y2^-1 * Y1, Y2^8, (Y3 * Y1^-4)^2, Y2^2 * Y3 * Y1^2 * Y2^-2 * Y3 * Y1^-2, Y2 * Y3 * Y1^-3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2^3 * Y3 * Y1 * Y2^-3 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(9, 57, 105, 153, 18, 66, 114, 162)(10, 58, 106, 154, 13, 61, 109, 157)(11, 59, 107, 155, 22, 70, 118, 166)(14, 62, 110, 158, 23, 71, 119, 167)(15, 63, 111, 159, 27, 75, 123, 171)(17, 65, 113, 161, 29, 77, 125, 173)(19, 67, 115, 163, 33, 81, 129, 177)(20, 68, 116, 164, 35, 83, 131, 179)(21, 69, 117, 165, 36, 84, 132, 180)(24, 72, 120, 168, 37, 85, 133, 181)(25, 73, 121, 169, 42, 90, 138, 186)(26, 74, 122, 170, 44, 92, 140, 188)(28, 76, 124, 172, 41, 89, 137, 185)(30, 78, 126, 174, 45, 93, 141, 189)(31, 79, 127, 175, 46, 94, 142, 190)(32, 80, 128, 176, 43, 91, 139, 187)(34, 82, 130, 178, 38, 86, 134, 182)(39, 87, 135, 183, 47, 95, 143, 191)(40, 88, 136, 184, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 65)(9, 67)(10, 52)(11, 69)(12, 71)(13, 73)(14, 54)(15, 55)(16, 76)(17, 78)(18, 56)(19, 80)(20, 58)(21, 63)(22, 85)(23, 87)(24, 60)(25, 89)(26, 62)(27, 91)(28, 88)(29, 64)(30, 86)(31, 66)(32, 84)(33, 94)(34, 68)(35, 93)(36, 82)(37, 79)(38, 70)(39, 77)(40, 72)(41, 75)(42, 83)(43, 74)(44, 81)(45, 95)(46, 96)(47, 92)(48, 90)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 159)(104, 162)(105, 148)(106, 164)(107, 149)(108, 168)(109, 150)(110, 170)(111, 165)(112, 173)(113, 152)(114, 175)(115, 153)(116, 178)(117, 155)(118, 182)(119, 156)(120, 184)(121, 157)(122, 187)(123, 185)(124, 160)(125, 183)(126, 161)(127, 181)(128, 163)(129, 188)(130, 180)(131, 186)(132, 176)(133, 166)(134, 174)(135, 167)(136, 172)(137, 169)(138, 192)(139, 171)(140, 191)(141, 179)(142, 177)(143, 189)(144, 190)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1031
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.1036 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^3, Y2^8, Y2^3 * Y1 * Y2^-4 * Y1 * Y2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 16, 64)(10, 58, 19, 67)(12, 60, 22, 70)(14, 62, 25, 73)(15, 63, 27, 75)(17, 65, 30, 78)(18, 66, 32, 80)(20, 68, 35, 83)(21, 69, 36, 84)(23, 71, 39, 87)(24, 72, 41, 89)(26, 74, 44, 92)(28, 76, 38, 86)(29, 77, 37, 85)(31, 79, 40, 88)(33, 81, 43, 91)(34, 82, 42, 90)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 104, 152, 113, 161, 127, 175, 116, 164, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 119, 167, 136, 184, 122, 170, 110, 158, 102, 150)(103, 151, 109, 157, 120, 168, 138, 186, 131, 179, 135, 183, 124, 172, 111, 159)(105, 153, 114, 162, 129, 177, 140, 188, 126, 174, 133, 181, 117, 165, 107, 155)(112, 160, 123, 171, 141, 189, 128, 176, 115, 163, 130, 178, 142, 190, 125, 173)(118, 166, 132, 180, 143, 191, 137, 185, 121, 169, 139, 187, 144, 192, 134, 182)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.1037 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-2, Y2^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 17, 65)(10, 58, 21, 69)(12, 60, 25, 73)(14, 62, 29, 77)(15, 63, 26, 74)(16, 64, 32, 80)(18, 66, 23, 71)(19, 67, 34, 82)(20, 68, 30, 78)(22, 70, 28, 76)(24, 72, 39, 87)(27, 75, 41, 89)(31, 79, 44, 92)(33, 81, 43, 91)(35, 83, 42, 90)(36, 84, 40, 88)(37, 85, 38, 86)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 104, 152, 114, 162, 131, 179, 118, 166, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 122, 170, 138, 186, 126, 174, 110, 158, 102, 150)(103, 151, 111, 159, 127, 175, 139, 187, 124, 172, 109, 157, 123, 171, 112, 160)(105, 153, 115, 163, 120, 168, 107, 155, 119, 167, 134, 182, 132, 180, 116, 164)(113, 161, 129, 177, 142, 190, 133, 181, 117, 165, 128, 176, 141, 189, 130, 178)(121, 169, 136, 184, 144, 192, 140, 188, 125, 173, 135, 183, 143, 191, 137, 185)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.1038 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y2^-1 * R)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y1)^2, (R * Y1)^2, Y3 * Y2^4, (Y1 * Y2)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 23, 71)(11, 59, 21, 69)(12, 60, 24, 72)(14, 62, 26, 74)(16, 64, 29, 77)(17, 65, 27, 75)(18, 66, 30, 78)(20, 68, 32, 80)(22, 70, 34, 82)(25, 73, 38, 86)(28, 76, 41, 89)(31, 79, 43, 91)(33, 81, 40, 88)(35, 83, 42, 90)(36, 84, 37, 85)(39, 87, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 106, 154, 108, 156, 100, 148, 107, 155, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 114, 162, 103, 151, 113, 161, 116, 164, 104, 152)(105, 153, 115, 163, 127, 175, 129, 177, 117, 165, 126, 174, 131, 179, 118, 166)(109, 157, 121, 169, 135, 183, 123, 171, 120, 168, 133, 181, 124, 172, 111, 159)(119, 167, 130, 178, 141, 189, 134, 182, 122, 170, 136, 184, 142, 190, 132, 180)(125, 173, 137, 185, 143, 191, 139, 187, 128, 176, 140, 188, 144, 192, 138, 186)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 117)(10, 110)(11, 99)(12, 101)(13, 120)(14, 106)(15, 123)(16, 116)(17, 102)(18, 104)(19, 126)(20, 112)(21, 105)(22, 129)(23, 122)(24, 109)(25, 133)(26, 119)(27, 111)(28, 135)(29, 128)(30, 115)(31, 131)(32, 125)(33, 118)(34, 136)(35, 127)(36, 134)(37, 121)(38, 132)(39, 124)(40, 130)(41, 140)(42, 139)(43, 138)(44, 137)(45, 142)(46, 141)(47, 144)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.1039 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R)^2, Y3 * Y2^4, Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 24, 72)(11, 59, 22, 70)(12, 60, 25, 73)(14, 62, 28, 76)(16, 64, 30, 78)(17, 65, 27, 75)(18, 66, 21, 69)(20, 68, 32, 80)(23, 71, 35, 83)(26, 74, 37, 85)(29, 77, 41, 89)(31, 79, 43, 91)(33, 81, 44, 92)(34, 82, 36, 84)(38, 86, 40, 88)(39, 87, 42, 90)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 106, 154, 108, 156, 100, 148, 107, 155, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 114, 162, 103, 151, 113, 161, 116, 164, 104, 152)(105, 153, 117, 165, 129, 177, 130, 178, 118, 166, 115, 163, 127, 175, 119, 167)(109, 157, 122, 170, 125, 173, 111, 159, 121, 169, 134, 182, 135, 183, 123, 171)(120, 168, 132, 180, 142, 190, 136, 184, 124, 172, 131, 179, 141, 189, 133, 181)(126, 174, 138, 186, 144, 192, 140, 188, 128, 176, 137, 185, 143, 191, 139, 187)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 110)(11, 99)(12, 101)(13, 121)(14, 106)(15, 123)(16, 116)(17, 102)(18, 104)(19, 117)(20, 112)(21, 115)(22, 105)(23, 130)(24, 124)(25, 109)(26, 134)(27, 111)(28, 120)(29, 135)(30, 128)(31, 129)(32, 126)(33, 127)(34, 119)(35, 132)(36, 131)(37, 136)(38, 122)(39, 125)(40, 133)(41, 138)(42, 137)(43, 140)(44, 139)(45, 142)(46, 141)(47, 144)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 96 f = 30
	degree seq :: [ 4^24, 16^6 ]

E19.1040 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 12})
Quotient :: edge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y2^-1 * Y3)^2, Y3^2 * Y1^-1 * Y2^-1, Y3 * Y1 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, (Y1^-1 * Y3)^2, (R * Y3)^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y3^2 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3^2 * Y2 * Y1 * Y2^-1 * Y1^-1, (Y2 * Y1^-1)^4, Y2 * Y3^2 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 12, 60, 29, 77, 27, 75, 46, 94, 47, 95, 45, 93, 31, 79, 43, 91, 19, 67, 7, 55)(2, 50, 9, 57, 25, 73, 39, 87, 40, 88, 48, 96, 35, 83, 38, 86, 42, 90, 23, 71, 6, 54, 11, 59)(3, 51, 13, 61, 21, 69, 28, 76, 8, 56, 26, 74, 30, 78, 41, 89, 17, 65, 24, 72, 37, 85, 15, 63)(5, 53, 18, 66, 33, 81, 16, 64, 14, 62, 36, 84, 44, 92, 34, 82, 22, 70, 32, 80, 10, 58, 20, 68)(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, 132, 134)(112, 125, 135)(113, 129, 136)(115, 133, 138)(119, 128, 139)(124, 142, 130)(131, 140, 143)(137, 144, 141)(145, 147, 150)(146, 152, 154)(148, 160, 159)(149, 161, 163)(151, 155, 164)(153, 173, 172)(156, 169, 177)(157, 178, 167)(158, 179, 181)(162, 183, 185)(165, 171, 188)(166, 175, 186)(168, 182, 187)(170, 189, 176)(174, 184, 191)(180, 190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^3 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1043
Graph:: simple bipartite
	v = 36 e = 96 f = 24
	degree seq :: [ 3^32, 24^4 ]

E19.1041 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 12})
Quotient :: edge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2, Y1^3, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51)(2, 50, 5, 53)(4, 52, 8, 56)(6, 54, 11, 59)(7, 55, 12, 60)(9, 57, 15, 63)(10, 58, 16, 64)(13, 61, 21, 69)(14, 62, 22, 70)(17, 65, 27, 75)(18, 66, 28, 76)(19, 67, 29, 77)(20, 68, 30, 78)(23, 71, 35, 83)(24, 72, 36, 84)(25, 73, 37, 85)(26, 74, 38, 86)(31, 79, 39, 87)(32, 80, 44, 92)(33, 81, 41, 89)(34, 82, 43, 91)(40, 88, 46, 94)(42, 90, 47, 95)(45, 93, 48, 96)(97, 98, 100)(99, 102, 103)(101, 105, 106)(104, 109, 110)(107, 113, 114)(108, 115, 116)(111, 119, 120)(112, 121, 122)(117, 127, 128)(118, 129, 130)(123, 131, 135)(124, 136, 137)(125, 132, 138)(126, 134, 139)(133, 140, 141)(142, 143, 144)(145, 146, 148)(147, 150, 151)(149, 153, 154)(152, 157, 158)(155, 161, 162)(156, 163, 164)(159, 167, 168)(160, 169, 170)(165, 175, 176)(166, 177, 178)(171, 179, 183)(172, 184, 185)(173, 180, 186)(174, 182, 187)(181, 188, 189)(190, 191, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48^3 ), ( 48^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1042
Graph:: simple bipartite
	v = 56 e = 96 f = 4
	degree seq :: [ 3^32, 4^24 ]

E19.1042 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 12})
Quotient :: loop^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y2^-1 * Y3)^2, Y3^2 * Y1^-1 * Y2^-1, Y3 * Y1 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, (Y1^-1 * Y3)^2, (R * Y3)^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y3^2 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3^2 * Y2 * Y1 * Y2^-1 * Y1^-1, (Y2 * Y1^-1)^4, Y2 * Y3^2 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 29, 77, 125, 173, 27, 75, 123, 171, 46, 94, 142, 190, 47, 95, 143, 191, 45, 93, 141, 189, 31, 79, 127, 175, 43, 91, 139, 187, 19, 67, 115, 163, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 25, 73, 121, 169, 39, 87, 135, 183, 40, 88, 136, 184, 48, 96, 144, 192, 35, 83, 131, 179, 38, 86, 134, 182, 42, 90, 138, 186, 23, 71, 119, 167, 6, 54, 102, 150, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 21, 69, 117, 165, 28, 76, 124, 172, 8, 56, 104, 152, 26, 74, 122, 170, 30, 78, 126, 174, 41, 89, 137, 185, 17, 65, 113, 161, 24, 72, 120, 168, 37, 85, 133, 181, 15, 63, 111, 159)(5, 53, 101, 149, 18, 66, 114, 162, 33, 81, 129, 177, 16, 64, 112, 160, 14, 62, 110, 158, 36, 84, 132, 180, 44, 92, 140, 188, 34, 82, 130, 178, 22, 70, 118, 166, 32, 80, 128, 176, 10, 58, 106, 154, 20, 68, 116, 164)
	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, 84)(16, 77)(17, 81)(18, 72)(19, 85)(20, 57)(21, 70)(22, 54)(23, 80)(24, 55)(25, 75)(26, 68)(27, 56)(28, 94)(29, 87)(30, 79)(31, 58)(32, 91)(33, 88)(34, 76)(35, 92)(36, 86)(37, 90)(38, 63)(39, 64)(40, 65)(41, 96)(42, 67)(43, 71)(44, 95)(45, 89)(46, 82)(47, 83)(48, 93)(97, 147)(98, 152)(99, 150)(100, 160)(101, 161)(102, 145)(103, 155)(104, 154)(105, 173)(106, 146)(107, 164)(108, 169)(109, 178)(110, 179)(111, 148)(112, 159)(113, 163)(114, 183)(115, 149)(116, 151)(117, 171)(118, 175)(119, 157)(120, 182)(121, 177)(122, 189)(123, 188)(124, 153)(125, 172)(126, 184)(127, 186)(128, 170)(129, 156)(130, 167)(131, 181)(132, 190)(133, 158)(134, 187)(135, 185)(136, 191)(137, 162)(138, 166)(139, 168)(140, 165)(141, 176)(142, 192)(143, 174)(144, 180)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.1041
Transitivity :: VT+
Graph::
	v = 4 e = 96 f = 56
	degree seq :: [ 48^4 ]

E19.1043 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 12})
Quotient :: loop^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2, Y1^3, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 3, 51, 99, 147)(2, 50, 98, 146, 5, 53, 101, 149)(4, 52, 100, 148, 8, 56, 104, 152)(6, 54, 102, 150, 11, 59, 107, 155)(7, 55, 103, 151, 12, 60, 108, 156)(9, 57, 105, 153, 15, 63, 111, 159)(10, 58, 106, 154, 16, 64, 112, 160)(13, 61, 109, 157, 21, 69, 117, 165)(14, 62, 110, 158, 22, 70, 118, 166)(17, 65, 113, 161, 27, 75, 123, 171)(18, 66, 114, 162, 28, 76, 124, 172)(19, 67, 115, 163, 29, 77, 125, 173)(20, 68, 116, 164, 30, 78, 126, 174)(23, 71, 119, 167, 35, 83, 131, 179)(24, 72, 120, 168, 36, 84, 132, 180)(25, 73, 121, 169, 37, 85, 133, 181)(26, 74, 122, 170, 38, 86, 134, 182)(31, 79, 127, 175, 39, 87, 135, 183)(32, 80, 128, 176, 44, 92, 140, 188)(33, 81, 129, 177, 41, 89, 137, 185)(34, 82, 130, 178, 43, 91, 139, 187)(40, 88, 136, 184, 46, 94, 142, 190)(42, 90, 138, 186, 47, 95, 143, 191)(45, 93, 141, 189, 48, 96, 144, 192)
	L = (1, 50)(2, 52)(3, 54)(4, 49)(5, 57)(6, 55)(7, 51)(8, 61)(9, 58)(10, 53)(11, 65)(12, 67)(13, 62)(14, 56)(15, 71)(16, 73)(17, 66)(18, 59)(19, 68)(20, 60)(21, 79)(22, 81)(23, 72)(24, 63)(25, 74)(26, 64)(27, 83)(28, 88)(29, 84)(30, 86)(31, 80)(32, 69)(33, 82)(34, 70)(35, 87)(36, 90)(37, 92)(38, 91)(39, 75)(40, 89)(41, 76)(42, 77)(43, 78)(44, 93)(45, 85)(46, 95)(47, 96)(48, 94)(97, 146)(98, 148)(99, 150)(100, 145)(101, 153)(102, 151)(103, 147)(104, 157)(105, 154)(106, 149)(107, 161)(108, 163)(109, 158)(110, 152)(111, 167)(112, 169)(113, 162)(114, 155)(115, 164)(116, 156)(117, 175)(118, 177)(119, 168)(120, 159)(121, 170)(122, 160)(123, 179)(124, 184)(125, 180)(126, 182)(127, 176)(128, 165)(129, 178)(130, 166)(131, 183)(132, 186)(133, 188)(134, 187)(135, 171)(136, 185)(137, 172)(138, 173)(139, 174)(140, 189)(141, 181)(142, 191)(143, 192)(144, 190)
	local type(s) :: { ( 3, 24, 3, 24, 3, 24, 3, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1040
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 36
	degree seq :: [ 8^24 ]

E19.1044 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3, Y2^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1, (Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-1)^3 ]
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, 35, 83)(28, 76, 39, 87)(29, 77, 43, 91)(30, 78, 41, 89)(31, 79, 36, 84)(32, 80, 44, 92)(33, 81, 38, 86)(34, 82, 42, 90)(37, 85, 45, 93)(40, 88, 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, 140, 188, 143, 191)(141, 189, 142, 190, 144, 192)
	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, 143)(44, 139)(45, 144)(46, 141)(47, 140)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1048
Graph:: bipartite
	v = 40 e = 96 f = 20
	degree seq :: [ 4^24, 6^16 ]

E19.1045 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * R * Y2^-1 * R, Y2 * Y1 * Y2 * Y1 * Y3^-1, Y2 * Y3^-2 * Y2 * Y3, Y3^6, (R * Y1 * Y2)^2, Y3^-1 * Y1 * Y2 * Y3^2 * Y1, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1, (Y3 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 14, 62)(5, 53, 18, 66)(6, 54, 21, 69)(7, 55, 19, 67)(8, 56, 27, 75)(9, 57, 22, 70)(10, 58, 32, 80)(12, 60, 33, 81)(13, 61, 34, 82)(15, 63, 28, 76)(16, 64, 30, 78)(17, 65, 29, 77)(20, 68, 31, 79)(23, 71, 25, 73)(24, 72, 26, 74)(35, 83, 37, 85)(36, 84, 47, 95)(38, 86, 39, 87)(40, 88, 43, 91)(41, 89, 48, 96)(42, 90, 45, 93)(44, 92, 46, 94)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 111, 159, 113, 161)(102, 150, 118, 166, 119, 167)(104, 152, 124, 172, 126, 174)(106, 154, 114, 162, 129, 177)(107, 155, 110, 158, 131, 179)(108, 156, 112, 160, 132, 180)(109, 157, 133, 181, 134, 182)(115, 163, 123, 171, 138, 186)(116, 164, 128, 176, 120, 168)(117, 165, 130, 178, 127, 175)(121, 169, 125, 173, 139, 187)(122, 170, 141, 189, 142, 190)(135, 183, 143, 191, 144, 192)(136, 184, 137, 185, 140, 188)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 115)(6, 97)(7, 121)(8, 125)(9, 107)(10, 98)(11, 124)(12, 123)(13, 99)(14, 135)(15, 136)(16, 137)(17, 133)(18, 126)(19, 111)(20, 101)(21, 131)(22, 113)(23, 109)(24, 102)(25, 110)(26, 103)(27, 140)(28, 143)(29, 144)(30, 141)(31, 105)(32, 138)(33, 122)(34, 106)(35, 114)(36, 128)(37, 132)(38, 116)(39, 129)(40, 134)(41, 120)(42, 118)(43, 117)(44, 119)(45, 139)(46, 127)(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, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1049
Graph:: simple bipartite
	v = 40 e = 96 f = 20
	degree seq :: [ 4^24, 6^16 ]

E19.1046 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y2 * R)^2, (Y3^-1 * Y1^-1)^2, Y3^4 * Y2, Y3^2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1, (Y2^-1 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 14, 62)(4, 52, 16, 64, 18, 66)(6, 54, 23, 71, 24, 72)(7, 55, 26, 74, 9, 57)(8, 56, 28, 76, 30, 78)(10, 58, 17, 65, 34, 82)(11, 59, 36, 84, 21, 69)(13, 61, 29, 77, 39, 87)(15, 63, 41, 89, 37, 85)(19, 67, 45, 93, 31, 79)(20, 68, 38, 86, 27, 75)(22, 70, 32, 80, 46, 94)(25, 73, 35, 83, 44, 92)(33, 81, 48, 96, 43, 91)(40, 88, 47, 95, 42, 90)(97, 145, 99, 147, 102, 150)(98, 146, 104, 152, 106, 154)(100, 148, 109, 157, 115, 163)(101, 149, 116, 164, 118, 166)(103, 151, 111, 159, 121, 169)(105, 153, 125, 173, 129, 177)(107, 155, 127, 175, 131, 179)(108, 156, 124, 172, 134, 182)(110, 158, 136, 184, 128, 176)(112, 160, 139, 187, 140, 188)(113, 161, 123, 171, 138, 186)(114, 162, 122, 170, 132, 180)(117, 165, 135, 183, 137, 185)(119, 167, 126, 174, 143, 191)(120, 168, 130, 178, 142, 190)(133, 181, 141, 189, 144, 192)
	L = (1, 100)(2, 105)(3, 109)(4, 113)(5, 117)(6, 115)(7, 97)(8, 125)(9, 128)(10, 129)(11, 98)(12, 133)(13, 123)(14, 107)(15, 99)(16, 101)(17, 121)(18, 124)(19, 138)(20, 135)(21, 119)(22, 137)(23, 140)(24, 132)(25, 102)(26, 134)(27, 103)(28, 141)(29, 110)(30, 112)(31, 104)(32, 131)(33, 136)(34, 114)(35, 106)(36, 108)(37, 142)(38, 144)(39, 126)(40, 127)(41, 143)(42, 111)(43, 116)(44, 118)(45, 120)(46, 122)(47, 139)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1047
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 6^32 ]

E19.1047 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1, (Y1^-1 * R * Y2)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y2 * Y1^-3, Y3 * Y2 * Y3^-3 * Y1^-1, (Y1^-1 * Y3^-1)^3, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 16, 64, 31, 79, 45, 93, 40, 88, 14, 62, 29, 77, 20, 68, 5, 53)(3, 51, 11, 59, 35, 83, 19, 67, 38, 86, 46, 94, 25, 73, 22, 70, 6, 54, 21, 69, 39, 87, 13, 61)(4, 52, 15, 63, 41, 89, 42, 90, 34, 82, 10, 58, 33, 81, 48, 96, 28, 76, 8, 56, 27, 75, 17, 65)(9, 57, 30, 78, 12, 60, 37, 85, 47, 95, 26, 74, 18, 66, 36, 84, 44, 92, 24, 72, 43, 91, 32, 80)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 114, 162)(102, 150, 111, 159)(103, 151, 120, 168)(105, 153, 127, 175)(106, 154, 126, 174)(107, 155, 128, 176)(108, 156, 134, 182)(109, 157, 130, 178)(110, 158, 133, 181)(113, 161, 132, 180)(115, 163, 119, 167)(116, 164, 129, 177)(117, 165, 125, 173)(118, 166, 122, 170)(121, 169, 141, 189)(123, 171, 142, 190)(124, 172, 143, 191)(131, 179, 144, 192)(135, 183, 140, 188)(136, 184, 138, 186)(137, 185, 139, 187)
	L = (1, 100)(2, 105)(3, 108)(4, 109)(5, 115)(6, 97)(7, 121)(8, 102)(9, 124)(10, 98)(11, 123)(12, 101)(13, 119)(14, 99)(15, 126)(16, 133)(17, 136)(18, 137)(19, 122)(20, 120)(21, 128)(22, 130)(23, 138)(24, 106)(25, 140)(26, 103)(27, 139)(28, 112)(29, 104)(30, 118)(31, 117)(32, 110)(33, 142)(34, 143)(35, 141)(36, 107)(37, 113)(38, 111)(39, 144)(40, 114)(41, 116)(42, 131)(43, 134)(44, 127)(45, 129)(46, 125)(47, 135)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6^4 ), ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1046
Graph:: bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 4^24, 24^4 ]

E19.1048 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^3, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2, Y2^4 * Y1^-1 * Y2^-2 * Y1^-1, Y2^4 * Y1^-1 * Y2^-2 * Y1^-1, (Y2^2 * Y1^-1)^3 ]
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, 30, 78, 36, 84)(21, 69, 37, 85, 24, 72)(22, 70, 27, 75, 38, 86)(26, 74, 32, 80, 39, 87)(33, 81, 42, 90, 43, 91)(34, 82, 35, 83, 41, 89)(40, 88, 45, 93, 46, 94)(44, 92, 48, 96, 47, 95)(97, 145, 99, 147, 105, 153, 116, 164, 125, 173, 138, 186, 144, 192, 142, 190, 134, 182, 122, 170, 109, 157, 101, 149)(98, 146, 102, 150, 111, 159, 126, 174, 133, 181, 141, 189, 143, 191, 137, 185, 121, 169, 128, 176, 112, 160, 103, 151)(100, 148, 106, 154, 117, 165, 132, 180, 115, 163, 131, 179, 140, 188, 139, 187, 127, 175, 135, 183, 118, 166, 107, 155)(104, 152, 113, 161, 129, 177, 124, 172, 110, 158, 123, 171, 136, 184, 120, 168, 108, 156, 119, 167, 130, 178, 114, 162)
	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, 126)(21, 133)(22, 123)(23, 121)(24, 117)(25, 109)(26, 128)(27, 134)(28, 111)(29, 124)(30, 132)(31, 112)(32, 135)(33, 138)(34, 131)(35, 137)(36, 116)(37, 120)(38, 118)(39, 122)(40, 141)(41, 130)(42, 139)(43, 129)(44, 144)(45, 142)(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) :: { ( 4, 6, 4, 6, 4, 6 ), ( 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 E19.1044
Graph:: bipartite
	v = 20 e = 96 f = 40
	degree seq :: [ 6^16, 24^4 ]

E19.1049 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (Y3 * Y2^-1)^2, Y2 * Y3^-2 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2, Y1 * Y2 * R * Y2^-1 * R, Y1 * Y3^2 * Y1 * Y3^-1, (Y3^-1 * Y1^-1)^3, Y2^-4 * Y3^-1 * Y1^-1, Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 10, 58)(4, 52, 16, 64, 19, 67)(6, 54, 20, 68, 25, 73)(7, 55, 28, 76, 29, 77)(8, 56, 24, 72, 22, 70)(9, 57, 33, 81, 35, 83)(11, 59, 31, 79, 37, 85)(13, 61, 39, 87, 23, 71)(14, 62, 42, 90, 43, 91)(15, 63, 30, 78, 44, 92)(17, 65, 34, 82, 46, 94)(18, 66, 21, 69, 26, 74)(27, 75, 36, 84, 40, 88)(32, 80, 38, 86, 47, 95)(41, 89, 45, 93, 48, 96)(97, 145, 99, 147, 109, 157, 136, 184, 125, 173, 140, 188, 144, 192, 128, 176, 105, 153, 130, 178, 122, 170, 102, 150)(98, 146, 104, 152, 124, 172, 123, 171, 133, 181, 143, 191, 137, 185, 110, 158, 117, 165, 142, 190, 112, 160, 106, 154)(100, 148, 113, 161, 129, 177, 118, 166, 101, 149, 116, 164, 127, 175, 132, 180, 135, 183, 139, 187, 141, 189, 111, 159)(103, 151, 120, 168, 131, 179, 134, 182, 107, 155, 121, 169, 114, 162, 138, 186, 119, 167, 108, 156, 115, 163, 126, 174)
	L = (1, 100)(2, 105)(3, 110)(4, 114)(5, 117)(6, 120)(7, 97)(8, 111)(9, 115)(10, 121)(11, 98)(12, 130)(13, 107)(14, 116)(15, 99)(16, 135)(17, 143)(18, 144)(19, 137)(20, 128)(21, 131)(22, 108)(23, 101)(24, 142)(25, 113)(26, 133)(27, 102)(28, 119)(29, 112)(30, 132)(31, 103)(32, 104)(33, 125)(34, 139)(35, 141)(36, 106)(37, 129)(38, 136)(39, 122)(40, 118)(41, 109)(42, 123)(43, 134)(44, 138)(45, 124)(46, 140)(47, 126)(48, 127)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 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 E19.1045
Graph:: bipartite
	v = 20 e = 96 f = 40
	degree seq :: [ 6^16, 24^4 ]

E19.1050 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, Y2 * Y3 * Y2 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (Y1 * Y2)^2, (R * Y1)^2, Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y3^-1, (Y3^-1 * Y1)^12 ]
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, 39, 87)(26, 74, 30, 78)(27, 75, 31, 79)(28, 76, 40, 88)(29, 77, 41, 89)(32, 80, 42, 90)(37, 85, 45, 93)(38, 86, 46, 94)(43, 91, 47, 95)(44, 92, 48, 96)(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, 133, 181)(122, 170, 130, 178)(123, 171, 131, 179)(124, 172, 134, 182)(129, 177, 137, 185)(132, 180, 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, 133)(24, 131)(25, 122)(26, 111)(27, 124)(28, 112)(29, 126)(30, 113)(31, 128)(32, 114)(33, 139)(34, 119)(35, 134)(36, 137)(37, 130)(38, 120)(39, 143)(40, 141)(41, 140)(42, 129)(43, 138)(44, 132)(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, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1055
Graph:: simple bipartite
	v = 48 e = 96 f = 12
	degree seq :: [ 4^48 ]

E19.1051 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^2 * Y1 * Y2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y3 * Y2^-1)^2, Y2^-1 * Y3 * Y2 * R * Y2 * Y3 * Y2^-1 * R * Y1, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 13, 61)(10, 58, 14, 62)(11, 59, 15, 63)(12, 60, 16, 64)(17, 65, 23, 71)(18, 66, 24, 72)(19, 67, 25, 73)(20, 68, 26, 74)(21, 69, 27, 75)(22, 70, 28, 76)(29, 77, 37, 85)(30, 78, 32, 80)(31, 79, 38, 86)(33, 81, 35, 83)(34, 82, 39, 87)(36, 84, 40, 88)(41, 89, 44, 92)(42, 90, 45, 93)(43, 91, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 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, 126, 174, 121, 169, 134, 182, 128, 176)(116, 164, 129, 177, 135, 183, 122, 170, 131, 179, 130, 178)(125, 173, 137, 185, 136, 184, 133, 181, 140, 188, 132, 180)(138, 186, 143, 191, 142, 190, 141, 189, 144, 192, 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, 133)(24, 128)(25, 110)(26, 111)(27, 129)(28, 136)(29, 113)(30, 114)(31, 138)(32, 120)(33, 123)(34, 139)(35, 117)(36, 118)(37, 119)(38, 141)(39, 142)(40, 124)(41, 143)(42, 127)(43, 130)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1054
Graph:: bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.1052 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y1 * Y3 * Y2^-1, R * Y2 * R * Y1 * Y2 * Y1, (R * Y2 * Y1)^2, (R * Y2 * Y3)^2, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 17, 65)(8, 56, 19, 67)(10, 58, 15, 63)(11, 59, 16, 64)(12, 60, 18, 66)(13, 61, 20, 68)(21, 69, 37, 85)(22, 70, 32, 80)(23, 71, 38, 86)(24, 72, 30, 78)(25, 73, 35, 83)(26, 74, 39, 87)(27, 75, 33, 81)(28, 76, 40, 88)(29, 77, 41, 89)(31, 79, 42, 90)(34, 82, 43, 91)(36, 84, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(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, 134)(22, 126)(23, 133)(24, 128)(25, 129)(26, 136)(27, 131)(28, 135)(29, 138)(30, 118)(31, 137)(32, 120)(33, 121)(34, 140)(35, 123)(36, 139)(37, 119)(38, 117)(39, 124)(40, 122)(41, 127)(42, 125)(43, 132)(44, 130)(45, 144)(46, 143)(47, 142)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1053
Graph:: bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.1053 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, (Y3 * Y2)^2, (R * Y3)^2, Y1^6 * Y2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 24, 72, 10, 58, 3, 51, 7, 55, 16, 64, 32, 80, 14, 62, 5, 53)(4, 52, 11, 59, 25, 73, 33, 81, 42, 90, 22, 70, 9, 57, 21, 69, 41, 89, 46, 94, 28, 76, 12, 60)(8, 56, 19, 67, 38, 86, 44, 92, 48, 96, 37, 85, 18, 66, 27, 75, 45, 93, 31, 79, 40, 88, 20, 68)(13, 61, 29, 77, 36, 84, 17, 65, 35, 83, 26, 74, 23, 71, 43, 91, 47, 95, 34, 82, 39, 87, 30, 78)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 105, 153)(101, 149, 106, 154)(102, 150, 112, 160)(104, 152, 114, 162)(107, 155, 117, 165)(108, 156, 118, 166)(109, 157, 119, 167)(110, 158, 120, 168)(111, 159, 128, 176)(113, 161, 130, 178)(115, 163, 123, 171)(116, 164, 133, 181)(121, 169, 137, 185)(122, 170, 126, 174)(124, 172, 138, 186)(125, 173, 139, 187)(127, 175, 140, 188)(129, 177, 142, 190)(131, 179, 135, 183)(132, 180, 143, 191)(134, 182, 141, 189)(136, 184, 144, 192)
	L = (1, 100)(2, 104)(3, 105)(4, 97)(5, 109)(6, 113)(7, 114)(8, 98)(9, 99)(10, 119)(11, 122)(12, 123)(13, 101)(14, 127)(15, 129)(16, 130)(17, 102)(18, 103)(19, 118)(20, 135)(21, 126)(22, 115)(23, 106)(24, 140)(25, 136)(26, 107)(27, 108)(28, 132)(29, 134)(30, 117)(31, 110)(32, 142)(33, 111)(34, 112)(35, 133)(36, 124)(37, 131)(38, 125)(39, 116)(40, 121)(41, 144)(42, 143)(43, 141)(44, 120)(45, 139)(46, 128)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 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 E19.1052
Graph:: bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 4^24, 24^4 ]

E19.1054 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1, (Y2 * Y1^-1)^3, Y2 * Y1^-3 * Y3 * Y1^-3, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y1^-2 * Y3 * Y2 * Y1^-4, Y2 * Y1^3 * Y2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 17, 65, 37, 85, 28, 76, 10, 58, 21, 69, 41, 89, 36, 84, 16, 64, 5, 53)(3, 51, 9, 57, 25, 73, 38, 86, 31, 79, 13, 61, 4, 52, 12, 60, 30, 78, 39, 87, 29, 77, 11, 59)(7, 55, 20, 68, 45, 93, 35, 83, 48, 96, 24, 72, 8, 56, 23, 71, 47, 95, 34, 82, 46, 94, 22, 70)(14, 62, 32, 80, 42, 90, 18, 66, 40, 88, 27, 75, 15, 63, 33, 81, 44, 92, 19, 67, 43, 91, 26, 74)(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, 124, 172)(112, 160, 130, 178)(113, 161, 134, 182)(115, 163, 137, 185)(118, 166, 136, 184)(120, 168, 139, 187)(121, 169, 144, 192)(125, 173, 140, 188)(126, 174, 142, 190)(127, 175, 138, 186)(128, 176, 143, 191)(129, 177, 141, 189)(131, 179, 133, 181)(132, 180, 135, 183)
	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, 124)(15, 101)(16, 131)(17, 135)(18, 137)(19, 102)(20, 109)(21, 103)(22, 139)(23, 107)(24, 136)(25, 142)(26, 108)(27, 105)(28, 110)(29, 138)(30, 144)(31, 140)(32, 141)(33, 143)(34, 133)(35, 112)(36, 134)(37, 130)(38, 132)(39, 113)(40, 120)(41, 114)(42, 125)(43, 118)(44, 127)(45, 128)(46, 121)(47, 129)(48, 126)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 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 E19.1051
Graph:: bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 4^24, 24^4 ]

E19.1055 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, Y3^3, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y2^-1 * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y1 * Y2^-2 * Y3^-1 * Y2^-2, Y1 * Y2^6 * Y3 ]
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, 27, 75, 45, 93, 33, 81, 32, 80)(20, 68, 37, 85, 41, 89, 44, 92, 38, 86, 39, 87)(23, 71, 35, 83, 36, 84, 40, 88, 34, 82, 29, 77)(31, 79, 43, 91, 47, 95, 42, 90, 46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 127, 175, 140, 188, 120, 168, 105, 153, 121, 169, 141, 189, 138, 186, 116, 164, 102, 150)(98, 146, 104, 152, 119, 167, 139, 187, 128, 176, 118, 166, 103, 151, 115, 163, 136, 184, 142, 190, 123, 171, 106, 154)(100, 148, 112, 160, 133, 181, 143, 191, 125, 173, 107, 155, 101, 149, 113, 161, 134, 182, 144, 192, 132, 180, 111, 159)(109, 157, 130, 178, 114, 162, 135, 183, 122, 170, 126, 174, 110, 158, 131, 179, 117, 165, 137, 185, 124, 172, 129, 177)
	L = (1, 100)(2, 105)(3, 109)(4, 103)(5, 98)(6, 115)(7, 97)(8, 114)(9, 101)(10, 113)(11, 121)(12, 123)(13, 111)(14, 107)(15, 99)(16, 122)(17, 124)(18, 120)(19, 117)(20, 137)(21, 102)(22, 112)(23, 132)(24, 104)(25, 110)(26, 118)(27, 129)(28, 106)(29, 131)(30, 141)(31, 143)(32, 126)(33, 108)(34, 119)(35, 136)(36, 130)(37, 140)(38, 116)(39, 133)(40, 125)(41, 134)(42, 144)(43, 138)(44, 135)(45, 128)(46, 127)(47, 142)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^12 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1050
Graph:: bipartite
	v = 12 e = 96 f = 48
	degree seq :: [ 12^8, 24^4 ]

E19.1056 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: halfedge^2
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y1^-1 * Y2 * Y3 * Y1 * Y3 * Y2, (Y2 * Y3)^4, Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-4, Y1^-1 * Y3 * Y1^2 * Y2 * Y3 * Y2 * Y1^-3, (Y2 * Y3 * Y2 * Y1^-2)^2, Y1^3 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 74, 26, 89, 41, 84, 36, 96, 48, 88, 40, 73, 25, 61, 13, 53, 5, 49)(3, 57, 9, 67, 19, 81, 33, 95, 47, 80, 32, 72, 24, 87, 39, 90, 42, 75, 27, 63, 15, 55, 7, 51)(4, 59, 11, 70, 22, 85, 37, 94, 46, 79, 31, 69, 21, 83, 35, 91, 43, 76, 28, 64, 16, 56, 8, 52)(10, 65, 17, 77, 29, 92, 44, 86, 38, 71, 23, 60, 12, 66, 18, 78, 30, 93, 45, 82, 34, 68, 20, 58)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 36)(25, 33)(26, 42)(28, 45)(29, 46)(32, 48)(34, 43)(37, 44)(39, 41)(40, 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, 91)(75, 92)(78, 95)(79, 96)(81, 93)(83, 89)(86, 90)(88, 94)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1058
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.1057 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: halfedge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1, Y1^-1 * Y2 * Y3 * Y1 * Y3 * Y2, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, (Y1^2 * Y2)^2, (Y3 * Y1^-2)^2, (Y3 * Y1^-1)^4, Y1^-1 * Y3 * Y1 * Y3 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 84, 36, 76, 28, 91, 43, 79, 31, 92, 44, 83, 35, 65, 17, 53, 5, 49)(3, 57, 9, 75, 27, 85, 37, 71, 23, 55, 7, 69, 21, 63, 15, 81, 33, 88, 40, 67, 19, 59, 11, 51)(4, 60, 12, 80, 32, 86, 38, 74, 26, 56, 8, 72, 24, 64, 16, 82, 34, 90, 42, 68, 20, 62, 14, 52)(10, 70, 22, 87, 39, 95, 47, 94, 46, 77, 29, 61, 13, 73, 25, 89, 41, 96, 48, 93, 45, 78, 30, 58)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 24)(11, 31)(12, 30)(14, 22)(16, 29)(17, 27)(18, 37)(20, 41)(21, 43)(23, 44)(26, 39)(32, 46)(33, 36)(34, 45)(35, 40)(38, 48)(42, 47)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 77)(59, 73)(60, 76)(61, 69)(62, 79)(63, 78)(65, 80)(66, 86)(67, 87)(71, 89)(72, 91)(74, 92)(75, 93)(81, 94)(82, 84)(83, 90)(85, 95)(88, 96)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1059
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.1058 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: halfedge^2
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1^6, (Y3 * Y2)^4, 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 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 61, 13, 53, 5, 49)(3, 57, 9, 67, 19, 73, 25, 63, 15, 55, 7, 51)(4, 59, 11, 70, 22, 74, 26, 64, 16, 56, 8, 52)(10, 65, 17, 75, 27, 84, 36, 79, 31, 68, 20, 58)(12, 66, 18, 76, 28, 85, 37, 82, 34, 71, 23, 60)(21, 80, 32, 89, 41, 92, 44, 86, 38, 77, 29, 69)(24, 83, 35, 91, 43, 93, 45, 87, 39, 78, 30, 72)(33, 88, 40, 94, 46, 96, 48, 95, 47, 90, 42, 81)
	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, 33)(26, 37)(27, 38)(30, 40)(31, 41)(35, 42)(36, 44)(39, 46)(43, 47)(45, 48)(49, 52)(50, 56)(51, 58)(53, 59)(54, 64)(55, 65)(57, 68)(60, 72)(61, 70)(62, 74)(63, 75)(66, 78)(67, 79)(69, 81)(71, 83)(73, 84)(76, 87)(77, 88)(80, 90)(82, 91)(85, 93)(86, 94)(89, 95)(92, 96)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1056
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 12^8 ]

E19.1059 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: halfedge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1 * Y2 * Y3 * Y1^-1 * Y3 * Y2, Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, (Y3 * Y1^-2)^2, Y1^6, Y1^-3 * Y3 * Y1^2 * Y2 * Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1 * Y3 * Y1^3 * Y3 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 65, 17, 53, 5, 49)(3, 57, 9, 75, 27, 86, 38, 67, 19, 59, 11, 51)(4, 60, 12, 80, 32, 88, 40, 68, 20, 62, 14, 52)(7, 69, 21, 63, 15, 81, 33, 83, 35, 71, 23, 55)(8, 72, 24, 64, 16, 82, 34, 84, 36, 74, 26, 56)(10, 70, 22, 85, 37, 94, 46, 91, 43, 78, 30, 58)(13, 73, 25, 87, 39, 95, 47, 93, 45, 77, 29, 61)(28, 89, 41, 79, 31, 90, 42, 96, 48, 92, 44, 76)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 24)(11, 31)(12, 30)(14, 22)(16, 29)(17, 27)(18, 35)(20, 39)(21, 41)(23, 42)(26, 37)(32, 45)(33, 44)(34, 43)(36, 47)(38, 48)(40, 46)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 77)(59, 73)(60, 76)(61, 69)(62, 79)(63, 78)(65, 80)(66, 84)(67, 85)(71, 87)(72, 89)(74, 90)(75, 91)(81, 93)(82, 92)(83, 94)(86, 95)(88, 96)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1057
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 12^8 ]

E19.1060 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: edge^2
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y3^6, (Y2 * Y1)^4, (Y1 * Y3^-1 * Y2)^12 ]
Map::
	R = (1, 49, 4, 52, 12, 60, 24, 72, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 30, 78, 18, 66, 8, 56)(3, 51, 10, 58, 22, 70, 35, 83, 23, 71, 11, 59)(6, 54, 15, 63, 28, 76, 40, 88, 29, 77, 16, 64)(9, 57, 20, 68, 33, 81, 43, 91, 34, 82, 21, 69)(14, 62, 26, 74, 38, 86, 46, 94, 39, 87, 27, 75)(19, 67, 31, 79, 41, 89, 47, 95, 42, 90, 32, 80)(25, 73, 36, 84, 44, 92, 48, 96, 45, 93, 37, 85)(97, 98)(99, 105)(100, 104)(101, 103)(102, 110)(106, 117)(107, 116)(108, 114)(109, 113)(111, 123)(112, 122)(115, 121)(118, 130)(119, 129)(120, 126)(124, 135)(125, 134)(127, 133)(128, 132)(131, 139)(136, 142)(137, 141)(138, 140)(143, 144)(145, 147)(146, 150)(148, 155)(149, 154)(151, 160)(152, 159)(153, 163)(156, 167)(157, 166)(158, 169)(161, 173)(162, 172)(164, 176)(165, 175)(168, 179)(170, 181)(171, 180)(174, 184)(177, 186)(178, 185)(182, 189)(183, 188)(187, 191)(190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1066
Graph:: simple bipartite
	v = 56 e = 96 f = 4
	degree seq :: [ 2^48, 12^8 ]

E19.1061 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y2, Y3^6, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y3^2 * Y1)^2, (Y3 * Y1)^4, (Y3^-3 * Y1 * Y2)^4 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 32, 80, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 40, 88, 26, 74, 8, 56)(3, 51, 10, 58, 28, 76, 43, 91, 29, 77, 11, 59)(6, 54, 19, 67, 36, 84, 46, 94, 37, 85, 20, 68)(9, 57, 25, 73, 42, 90, 48, 96, 39, 87, 22, 70)(12, 60, 27, 75, 15, 63, 33, 81, 44, 92, 30, 78)(13, 61, 18, 66, 16, 64, 34, 82, 45, 93, 31, 79)(21, 69, 35, 83, 24, 72, 41, 89, 47, 95, 38, 86)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 116)(107, 115)(109, 121)(110, 122)(112, 118)(113, 119)(123, 131)(124, 135)(125, 138)(126, 137)(127, 132)(128, 140)(129, 134)(130, 133)(136, 143)(139, 142)(141, 144)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 171)(154, 165)(155, 168)(156, 163)(158, 173)(159, 164)(161, 172)(162, 179)(167, 181)(170, 180)(174, 186)(175, 185)(176, 189)(177, 183)(178, 182)(184, 192)(187, 191)(188, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1067
Graph:: simple bipartite
	v = 56 e = 96 f = 4
	degree seq :: [ 2^48, 12^8 ]

E19.1062 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: edge^2
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^4, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-4 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y3^5 * Y1, (Y3 * Y1 * Y2)^6 ]
Map::
	R = (1, 49, 4, 52, 12, 60, 24, 72, 39, 87, 42, 90, 26, 74, 41, 89, 40, 88, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 31, 79, 47, 95, 34, 82, 19, 67, 33, 81, 48, 96, 32, 80, 18, 66, 8, 56)(3, 51, 10, 58, 22, 70, 37, 85, 44, 92, 28, 76, 14, 62, 27, 75, 43, 91, 38, 86, 23, 71, 11, 59)(6, 54, 15, 63, 29, 77, 45, 93, 36, 84, 21, 69, 9, 57, 20, 68, 35, 83, 46, 94, 30, 78, 16, 64)(97, 98)(99, 105)(100, 104)(101, 103)(102, 110)(106, 117)(107, 116)(108, 114)(109, 113)(111, 124)(112, 123)(115, 122)(118, 132)(119, 131)(120, 128)(121, 127)(125, 140)(126, 139)(129, 138)(130, 137)(133, 141)(134, 142)(135, 144)(136, 143)(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, 178)(165, 177)(168, 182)(169, 181)(171, 186)(172, 185)(175, 190)(176, 189)(179, 191)(180, 192)(183, 187)(184, 188)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1064
Graph:: simple bipartite
	v = 52 e = 96 f = 8
	degree seq :: [ 2^48, 24^4 ]

E19.1063 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y2, (Y3^-2 * Y2)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2, Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3^2 * Y1)^2, (Y3 * Y1)^4, Y2 * Y3 * Y2 * Y3^-5 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 32, 80, 39, 87, 21, 69, 36, 84, 24, 72, 42, 90, 35, 83, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 41, 89, 30, 78, 12, 60, 27, 75, 15, 63, 33, 81, 44, 92, 26, 74, 8, 56)(3, 51, 10, 58, 28, 76, 45, 93, 31, 79, 13, 61, 18, 66, 16, 64, 34, 82, 46, 94, 29, 77, 11, 59)(6, 54, 19, 67, 37, 85, 47, 95, 40, 88, 22, 70, 9, 57, 25, 73, 43, 91, 48, 96, 38, 86, 20, 68)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 116)(107, 115)(109, 121)(110, 122)(112, 118)(113, 119)(123, 132)(124, 136)(125, 139)(126, 138)(127, 133)(128, 137)(129, 135)(130, 134)(131, 140)(141, 144)(142, 143)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 171)(154, 165)(155, 168)(156, 163)(158, 173)(159, 164)(161, 172)(162, 180)(167, 182)(170, 181)(174, 187)(175, 186)(176, 189)(177, 184)(178, 183)(179, 190)(185, 191)(188, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1065
Graph:: simple bipartite
	v = 52 e = 96 f = 8
	degree seq :: [ 2^48, 24^4 ]

E19.1064 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 12})
Quotient :: loop^2
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y3^6, (Y2 * Y1)^4, (Y1 * Y3^-1 * Y2)^12 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 24, 72, 120, 168, 13, 61, 109, 157, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 17, 65, 113, 161, 30, 78, 126, 174, 18, 66, 114, 162, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 22, 70, 118, 166, 35, 83, 131, 179, 23, 71, 119, 167, 11, 59, 107, 155)(6, 54, 102, 150, 15, 63, 111, 159, 28, 76, 124, 172, 40, 88, 136, 184, 29, 77, 125, 173, 16, 64, 112, 160)(9, 57, 105, 153, 20, 68, 116, 164, 33, 81, 129, 177, 43, 91, 139, 187, 34, 82, 130, 178, 21, 69, 117, 165)(14, 62, 110, 158, 26, 74, 122, 170, 38, 86, 134, 182, 46, 94, 142, 190, 39, 87, 135, 183, 27, 75, 123, 171)(19, 67, 115, 163, 31, 79, 127, 175, 41, 89, 137, 185, 47, 95, 143, 191, 42, 90, 138, 186, 32, 80, 128, 176)(25, 73, 121, 169, 36, 84, 132, 180, 44, 92, 140, 188, 48, 96, 144, 192, 45, 93, 141, 189, 37, 85, 133, 181)
	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, 75)(16, 74)(17, 61)(18, 60)(19, 73)(20, 59)(21, 58)(22, 82)(23, 81)(24, 78)(25, 67)(26, 64)(27, 63)(28, 87)(29, 86)(30, 72)(31, 85)(32, 84)(33, 71)(34, 70)(35, 91)(36, 80)(37, 79)(38, 77)(39, 76)(40, 94)(41, 93)(42, 92)(43, 83)(44, 90)(45, 89)(46, 88)(47, 96)(48, 95)(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, 169)(111, 152)(112, 151)(113, 173)(114, 172)(115, 153)(116, 176)(117, 175)(118, 157)(119, 156)(120, 179)(121, 158)(122, 181)(123, 180)(124, 162)(125, 161)(126, 184)(127, 165)(128, 164)(129, 186)(130, 185)(131, 168)(132, 171)(133, 170)(134, 189)(135, 188)(136, 174)(137, 178)(138, 177)(139, 191)(140, 183)(141, 182)(142, 192)(143, 187)(144, 190)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1062
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 52
	degree seq :: [ 24^8 ]

E19.1065 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 12})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y2, Y3^6, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y3^2 * Y1)^2, (Y3 * Y1)^4, (Y3^-3 * Y1 * Y2)^4 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 32, 80, 128, 176, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 40, 88, 136, 184, 26, 74, 122, 170, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 28, 76, 124, 172, 43, 91, 139, 187, 29, 77, 125, 173, 11, 59, 107, 155)(6, 54, 102, 150, 19, 67, 115, 163, 36, 84, 132, 180, 46, 94, 142, 190, 37, 85, 133, 181, 20, 68, 116, 164)(9, 57, 105, 153, 25, 73, 121, 169, 42, 90, 138, 186, 48, 96, 144, 192, 39, 87, 135, 183, 22, 70, 118, 166)(12, 60, 108, 156, 27, 75, 123, 171, 15, 63, 111, 159, 33, 81, 129, 177, 44, 92, 140, 188, 30, 78, 126, 174)(13, 61, 109, 157, 18, 66, 114, 162, 16, 64, 112, 160, 34, 82, 130, 178, 45, 93, 141, 189, 31, 79, 127, 175)(21, 69, 117, 165, 35, 83, 131, 179, 24, 72, 120, 168, 41, 89, 137, 185, 47, 95, 143, 191, 38, 86, 134, 182)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 68)(11, 67)(12, 52)(13, 73)(14, 74)(15, 53)(16, 70)(17, 71)(18, 54)(19, 59)(20, 58)(21, 55)(22, 64)(23, 65)(24, 56)(25, 61)(26, 62)(27, 83)(28, 87)(29, 90)(30, 89)(31, 84)(32, 92)(33, 86)(34, 85)(35, 75)(36, 79)(37, 82)(38, 81)(39, 76)(40, 95)(41, 78)(42, 77)(43, 94)(44, 80)(45, 96)(46, 91)(47, 88)(48, 93)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 171)(106, 165)(107, 168)(108, 163)(109, 148)(110, 173)(111, 164)(112, 149)(113, 172)(114, 179)(115, 156)(116, 159)(117, 154)(118, 151)(119, 181)(120, 155)(121, 152)(122, 180)(123, 153)(124, 161)(125, 158)(126, 186)(127, 185)(128, 189)(129, 183)(130, 182)(131, 162)(132, 170)(133, 167)(134, 178)(135, 177)(136, 192)(137, 175)(138, 174)(139, 191)(140, 190)(141, 176)(142, 188)(143, 187)(144, 184)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1063
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 52
	degree seq :: [ 24^8 ]

E19.1066 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 12})
Quotient :: loop^2
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^4, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-4 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y3^5 * Y1, (Y3 * Y1 * Y2)^6 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 24, 72, 120, 168, 39, 87, 135, 183, 42, 90, 138, 186, 26, 74, 122, 170, 41, 89, 137, 185, 40, 88, 136, 184, 25, 73, 121, 169, 13, 61, 109, 157, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 17, 65, 113, 161, 31, 79, 127, 175, 47, 95, 143, 191, 34, 82, 130, 178, 19, 67, 115, 163, 33, 81, 129, 177, 48, 96, 144, 192, 32, 80, 128, 176, 18, 66, 114, 162, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 22, 70, 118, 166, 37, 85, 133, 181, 44, 92, 140, 188, 28, 76, 124, 172, 14, 62, 110, 158, 27, 75, 123, 171, 43, 91, 139, 187, 38, 86, 134, 182, 23, 71, 119, 167, 11, 59, 107, 155)(6, 54, 102, 150, 15, 63, 111, 159, 29, 77, 125, 173, 45, 93, 141, 189, 36, 84, 132, 180, 21, 69, 117, 165, 9, 57, 105, 153, 20, 68, 116, 164, 35, 83, 131, 179, 46, 94, 142, 190, 30, 78, 126, 174, 16, 64, 112, 160)
	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, 74)(20, 59)(21, 58)(22, 84)(23, 83)(24, 80)(25, 79)(26, 67)(27, 64)(28, 63)(29, 92)(30, 91)(31, 73)(32, 72)(33, 90)(34, 89)(35, 71)(36, 70)(37, 93)(38, 94)(39, 96)(40, 95)(41, 82)(42, 81)(43, 78)(44, 77)(45, 85)(46, 86)(47, 88)(48, 87)(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, 178)(117, 177)(118, 157)(119, 156)(120, 182)(121, 181)(122, 158)(123, 186)(124, 185)(125, 162)(126, 161)(127, 190)(128, 189)(129, 165)(130, 164)(131, 191)(132, 192)(133, 169)(134, 168)(135, 187)(136, 188)(137, 172)(138, 171)(139, 183)(140, 184)(141, 176)(142, 175)(143, 179)(144, 180)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1060
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 56
	degree seq :: [ 48^4 ]

E19.1067 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 12})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y2, (Y3^-2 * Y2)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2, Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3^2 * Y1)^2, (Y3 * Y1)^4, Y2 * Y3 * Y2 * Y3^-5 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 32, 80, 128, 176, 39, 87, 135, 183, 21, 69, 117, 165, 36, 84, 132, 180, 24, 72, 120, 168, 42, 90, 138, 186, 35, 83, 131, 179, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 41, 89, 137, 185, 30, 78, 126, 174, 12, 60, 108, 156, 27, 75, 123, 171, 15, 63, 111, 159, 33, 81, 129, 177, 44, 92, 140, 188, 26, 74, 122, 170, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 28, 76, 124, 172, 45, 93, 141, 189, 31, 79, 127, 175, 13, 61, 109, 157, 18, 66, 114, 162, 16, 64, 112, 160, 34, 82, 130, 178, 46, 94, 142, 190, 29, 77, 125, 173, 11, 59, 107, 155)(6, 54, 102, 150, 19, 67, 115, 163, 37, 85, 133, 181, 47, 95, 143, 191, 40, 88, 136, 184, 22, 70, 118, 166, 9, 57, 105, 153, 25, 73, 121, 169, 43, 91, 139, 187, 48, 96, 144, 192, 38, 86, 134, 182, 20, 68, 116, 164)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 68)(11, 67)(12, 52)(13, 73)(14, 74)(15, 53)(16, 70)(17, 71)(18, 54)(19, 59)(20, 58)(21, 55)(22, 64)(23, 65)(24, 56)(25, 61)(26, 62)(27, 84)(28, 88)(29, 91)(30, 90)(31, 85)(32, 89)(33, 87)(34, 86)(35, 92)(36, 75)(37, 79)(38, 82)(39, 81)(40, 76)(41, 80)(42, 78)(43, 77)(44, 83)(45, 96)(46, 95)(47, 94)(48, 93)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 171)(106, 165)(107, 168)(108, 163)(109, 148)(110, 173)(111, 164)(112, 149)(113, 172)(114, 180)(115, 156)(116, 159)(117, 154)(118, 151)(119, 182)(120, 155)(121, 152)(122, 181)(123, 153)(124, 161)(125, 158)(126, 187)(127, 186)(128, 189)(129, 184)(130, 183)(131, 190)(132, 162)(133, 170)(134, 167)(135, 178)(136, 177)(137, 191)(138, 175)(139, 174)(140, 192)(141, 176)(142, 179)(143, 185)(144, 188)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1061
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 56
	degree seq :: [ 48^4 ]

E19.1068 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C6 x D8 (small group id <48, 45>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, Y3^2 * Y1 * Y3^-2 * Y1, Y3^6, (Y3 * Y1 * Y3^-1 * Y1)^2, (Y1 * Y3^-3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 11, 59)(5, 53, 13, 61)(7, 55, 17, 65)(8, 56, 19, 67)(9, 57, 21, 69)(10, 58, 23, 71)(12, 60, 18, 66)(14, 62, 20, 68)(15, 63, 29, 77)(16, 64, 31, 79)(22, 70, 30, 78)(24, 72, 32, 80)(25, 73, 33, 81)(26, 74, 34, 82)(27, 75, 41, 89)(28, 76, 36, 84)(35, 83, 46, 94)(37, 85, 42, 90)(38, 86, 43, 91)(39, 87, 47, 95)(40, 88, 45, 93)(44, 92, 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, 138, 186)(130, 178, 139, 187)(131, 179, 140, 188)(132, 180, 141, 189)(137, 185, 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, 122)(14, 101)(15, 126)(16, 102)(17, 129)(18, 131)(19, 130)(20, 104)(21, 133)(22, 135)(23, 134)(24, 106)(25, 137)(26, 107)(27, 110)(28, 109)(29, 138)(30, 140)(31, 139)(32, 112)(33, 142)(34, 113)(35, 116)(36, 115)(37, 143)(38, 117)(39, 120)(40, 119)(41, 124)(42, 144)(43, 125)(44, 128)(45, 127)(46, 132)(47, 136)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1093
Graph:: simple bipartite
	v = 48 e = 96 f = 12
	degree seq :: [ 4^48 ]

E19.1069 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = C2 x C2 x D24 (small group id <96, 207>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), (Y2^-1 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, 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, 23, 71)(12, 60, 24, 72)(13, 61, 22, 70)(14, 62, 21, 69)(15, 63, 20, 68)(16, 64, 18, 66)(17, 65, 19, 67)(25, 73, 32, 80)(26, 74, 38, 86)(27, 75, 37, 85)(28, 76, 36, 84)(29, 77, 35, 83)(30, 78, 34, 82)(31, 79, 33, 81)(39, 87, 44, 92)(40, 88, 43, 91)(41, 89, 46, 94)(42, 90, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 121, 169, 112, 160, 101, 149)(98, 146, 103, 151, 114, 162, 128, 176, 119, 167, 105, 153)(100, 148, 108, 156, 122, 170, 135, 183, 126, 174, 111, 159)(102, 150, 109, 157, 123, 171, 136, 184, 127, 175, 113, 161)(104, 152, 115, 163, 129, 177, 139, 187, 133, 181, 118, 166)(106, 154, 116, 164, 130, 178, 140, 188, 134, 182, 120, 168)(110, 158, 124, 172, 137, 185, 143, 191, 138, 186, 125, 173)(117, 165, 131, 179, 141, 189, 144, 192, 142, 190, 132, 180)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 111)(6, 97)(7, 115)(8, 117)(9, 118)(10, 98)(11, 122)(12, 124)(13, 99)(14, 102)(15, 125)(16, 126)(17, 101)(18, 129)(19, 131)(20, 103)(21, 106)(22, 132)(23, 133)(24, 105)(25, 135)(26, 137)(27, 107)(28, 109)(29, 113)(30, 138)(31, 112)(32, 139)(33, 141)(34, 114)(35, 116)(36, 120)(37, 142)(38, 119)(39, 143)(40, 121)(41, 123)(42, 127)(43, 144)(44, 128)(45, 130)(46, 134)(47, 136)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1081
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.1070 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = C2 x C2 x D24 (small group id <96, 207>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^4 * Y2^-2, 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, 35, 83)(28, 76, 41, 89)(29, 77, 40, 88)(30, 78, 42, 90)(31, 79, 39, 87)(32, 80, 37, 85)(33, 81, 36, 84)(34, 82, 38, 86)(43, 91, 47, 95)(44, 92, 46, 94)(45, 93, 48, 96)(97, 145, 99, 147, 107, 155, 123, 171, 112, 160, 101, 149)(98, 146, 103, 151, 115, 163, 131, 179, 120, 168, 105, 153)(100, 148, 108, 156, 124, 172, 139, 187, 128, 176, 111, 159)(102, 150, 109, 157, 125, 173, 140, 188, 129, 177, 113, 161)(104, 152, 116, 164, 132, 180, 142, 190, 136, 184, 119, 167)(106, 154, 117, 165, 133, 181, 143, 191, 137, 185, 121, 169)(110, 158, 126, 174, 141, 189, 130, 178, 114, 162, 127, 175)(118, 166, 134, 182, 144, 192, 138, 186, 122, 170, 135, 183)
	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, 125)(15, 127)(16, 128)(17, 101)(18, 102)(19, 132)(20, 134)(21, 103)(22, 133)(23, 135)(24, 136)(25, 105)(26, 106)(27, 139)(28, 141)(29, 107)(30, 140)(31, 109)(32, 114)(33, 112)(34, 113)(35, 142)(36, 144)(37, 115)(38, 143)(39, 117)(40, 122)(41, 120)(42, 121)(43, 130)(44, 123)(45, 129)(46, 138)(47, 131)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1082
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.1071 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C6 x D8 (small group id <48, 45>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), Y2^-1 * Y1 * Y2 * Y1, (Y3^-1 * Y1)^2, (R * Y2)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 10, 58)(5, 53, 9, 57)(6, 54, 8, 56)(11, 59, 18, 66)(12, 60, 20, 68)(13, 61, 19, 67)(14, 62, 21, 69)(15, 63, 24, 72)(16, 64, 23, 71)(17, 65, 22, 70)(25, 73, 32, 80)(26, 74, 34, 82)(27, 75, 33, 81)(28, 76, 35, 83)(29, 77, 36, 84)(30, 78, 38, 86)(31, 79, 37, 85)(39, 87, 44, 92)(40, 88, 43, 91)(41, 89, 45, 93)(42, 90, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 121, 169, 112, 160, 101, 149)(98, 146, 103, 151, 114, 162, 128, 176, 119, 167, 105, 153)(100, 148, 108, 156, 122, 170, 135, 183, 126, 174, 111, 159)(102, 150, 109, 157, 123, 171, 136, 184, 127, 175, 113, 161)(104, 152, 115, 163, 129, 177, 139, 187, 133, 181, 118, 166)(106, 154, 116, 164, 130, 178, 140, 188, 134, 182, 120, 168)(110, 158, 124, 172, 137, 185, 143, 191, 138, 186, 125, 173)(117, 165, 131, 179, 141, 189, 144, 192, 142, 190, 132, 180)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 111)(6, 97)(7, 115)(8, 117)(9, 118)(10, 98)(11, 122)(12, 124)(13, 99)(14, 102)(15, 125)(16, 126)(17, 101)(18, 129)(19, 131)(20, 103)(21, 106)(22, 132)(23, 133)(24, 105)(25, 135)(26, 137)(27, 107)(28, 109)(29, 113)(30, 138)(31, 112)(32, 139)(33, 141)(34, 114)(35, 116)(36, 120)(37, 142)(38, 119)(39, 143)(40, 121)(41, 123)(42, 127)(43, 144)(44, 128)(45, 130)(46, 134)(47, 136)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1085
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.1072 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C6 x D8 (small group id <48, 45>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, (R * Y2 * Y3)^2, Y2 * Y3 * Y2^-2 * Y3 * Y2, (Y2^-2 * R)^2, Y2^6, (Y2 * Y3 * Y2^-1 * Y3)^2, (Y3 * Y2^-3)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 15, 63)(10, 58, 16, 64)(11, 59, 17, 65)(12, 60, 18, 66)(13, 61, 19, 67)(14, 62, 20, 68)(21, 69, 29, 77)(22, 70, 30, 78)(23, 71, 31, 79)(24, 72, 32, 80)(25, 73, 33, 81)(26, 74, 34, 82)(27, 75, 35, 83)(28, 76, 36, 84)(37, 85, 42, 90)(38, 86, 43, 91)(39, 87, 44, 92)(40, 88, 45, 93)(41, 89, 46, 94)(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, 118, 166, 134, 182, 123, 171, 108, 156)(103, 151, 113, 161, 126, 174, 139, 187, 131, 179, 114, 162)(106, 154, 119, 167, 133, 181, 124, 172, 109, 157, 120, 168)(112, 160, 127, 175, 138, 186, 132, 180, 115, 163, 128, 176)(121, 169, 135, 183, 143, 191, 137, 185, 122, 170, 136, 184)(129, 177, 140, 188, 144, 192, 142, 190, 130, 178, 141, 189)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 112)(7, 98)(8, 115)(9, 118)(10, 99)(11, 121)(12, 122)(13, 101)(14, 123)(15, 126)(16, 102)(17, 129)(18, 130)(19, 104)(20, 131)(21, 133)(22, 105)(23, 135)(24, 136)(25, 107)(26, 108)(27, 110)(28, 137)(29, 138)(30, 111)(31, 140)(32, 141)(33, 113)(34, 114)(35, 116)(36, 142)(37, 117)(38, 143)(39, 119)(40, 120)(41, 124)(42, 125)(43, 144)(44, 127)(45, 128)(46, 132)(47, 134)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1084
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.1073 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C6 x D8 (small group id <48, 45>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (R * Y2^-1 * Y1)^2, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, Y2^6, Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-2 * R)^2, (Y2^-1 * Y3 * Y2 * Y1)^2, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 17, 65)(8, 56, 22, 70)(10, 58, 18, 66)(11, 59, 20, 68)(12, 60, 19, 67)(13, 61, 23, 71)(15, 63, 21, 69)(16, 64, 24, 72)(25, 73, 34, 82)(26, 74, 35, 83)(27, 75, 43, 91)(28, 76, 37, 85)(29, 77, 38, 86)(30, 78, 39, 87)(31, 79, 40, 88)(32, 80, 41, 89)(33, 81, 42, 90)(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, 124, 172, 141, 189, 127, 175, 109, 157)(103, 151, 116, 164, 133, 181, 144, 192, 136, 184, 117, 165)(105, 153, 121, 169, 139, 187, 128, 176, 110, 158, 122, 170)(107, 155, 125, 173, 140, 188, 129, 177, 111, 159, 126, 174)(113, 161, 130, 178, 142, 190, 137, 185, 118, 166, 131, 179)(115, 163, 134, 182, 143, 191, 138, 186, 119, 167, 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, 134)(26, 135)(27, 140)(28, 106)(29, 130)(30, 131)(31, 112)(32, 138)(33, 137)(34, 125)(35, 126)(36, 143)(37, 114)(38, 121)(39, 122)(40, 120)(41, 129)(42, 128)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1083
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.1074 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y2 * Y1)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2^-1 * Y3)^2, Y2^6, (Y2^-2 * R)^2, Y2 * Y3 * Y2^-2 * Y3 * Y2, (Y3 * Y2^-1 * Y3 * Y2)^2, (Y3 * Y2^-3)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 8, 56)(4, 52, 7, 55)(5, 53, 6, 54)(9, 57, 20, 68)(10, 58, 19, 67)(11, 59, 18, 66)(12, 60, 17, 65)(13, 61, 16, 64)(14, 62, 15, 63)(21, 69, 29, 77)(22, 70, 35, 83)(23, 71, 36, 84)(24, 72, 32, 80)(25, 73, 34, 82)(26, 74, 33, 81)(27, 75, 30, 78)(28, 76, 31, 79)(37, 85, 42, 90)(38, 86, 43, 91)(39, 87, 46, 94)(40, 88, 45, 93)(41, 89, 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, 118, 166, 134, 182, 123, 171, 108, 156)(103, 151, 113, 161, 126, 174, 139, 187, 131, 179, 114, 162)(106, 154, 119, 167, 133, 181, 124, 172, 109, 157, 120, 168)(112, 160, 127, 175, 138, 186, 132, 180, 115, 163, 128, 176)(121, 169, 135, 183, 143, 191, 137, 185, 122, 170, 136, 184)(129, 177, 140, 188, 144, 192, 142, 190, 130, 178, 141, 189)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 112)(7, 98)(8, 115)(9, 118)(10, 99)(11, 121)(12, 122)(13, 101)(14, 123)(15, 126)(16, 102)(17, 129)(18, 130)(19, 104)(20, 131)(21, 133)(22, 105)(23, 135)(24, 136)(25, 107)(26, 108)(27, 110)(28, 137)(29, 138)(30, 111)(31, 140)(32, 141)(33, 113)(34, 114)(35, 116)(36, 142)(37, 117)(38, 143)(39, 119)(40, 120)(41, 124)(42, 125)(43, 144)(44, 127)(45, 128)(46, 132)(47, 134)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1088
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.1075 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y3 * Y1)^2, Y2 * Y3 * Y2^-2 * Y3 * Y2, (R * Y2 * Y3)^2, R * Y2^-1 * Y1 * R * Y2 * Y1, (Y2^-1 * Y1 * Y2^-1)^2, (Y2^-2 * R)^2, Y2^6, (Y2^-1 * Y1)^4, (Y2^-1 * Y3 * Y2 * Y1)^2, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 17, 65)(8, 56, 22, 70)(10, 58, 24, 72)(11, 59, 21, 69)(12, 60, 23, 71)(13, 61, 19, 67)(15, 63, 20, 68)(16, 64, 18, 66)(25, 73, 34, 82)(26, 74, 41, 89)(27, 75, 43, 91)(28, 76, 40, 88)(29, 77, 42, 90)(30, 78, 39, 87)(31, 79, 37, 85)(32, 80, 35, 83)(33, 81, 38, 86)(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, 124, 172, 141, 189, 127, 175, 109, 157)(103, 151, 116, 164, 133, 181, 144, 192, 136, 184, 117, 165)(105, 153, 121, 169, 110, 158, 128, 176, 139, 187, 122, 170)(107, 155, 125, 173, 140, 188, 129, 177, 111, 159, 126, 174)(113, 161, 130, 178, 118, 166, 137, 185, 142, 190, 131, 179)(115, 163, 134, 182, 143, 191, 138, 186, 119, 167, 135, 183)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 115)(7, 98)(8, 119)(9, 117)(10, 124)(11, 99)(12, 118)(13, 113)(14, 116)(15, 101)(16, 127)(17, 109)(18, 133)(19, 102)(20, 110)(21, 105)(22, 108)(23, 104)(24, 136)(25, 135)(26, 138)(27, 140)(28, 106)(29, 137)(30, 130)(31, 112)(32, 134)(33, 131)(34, 126)(35, 129)(36, 143)(37, 114)(38, 128)(39, 121)(40, 120)(41, 125)(42, 122)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1086
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.1076 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-2 * Y3^-1, (Y2^-1 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3^-1 * Y2^4 * Y3^-1, Y2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 23, 71)(12, 60, 20, 68)(13, 61, 25, 73)(14, 62, 22, 70)(15, 63, 19, 67)(16, 64, 26, 74)(17, 65, 21, 69)(18, 66, 24, 72)(27, 75, 35, 83)(28, 76, 36, 84)(29, 77, 38, 86)(30, 78, 37, 85)(31, 79, 39, 87)(32, 80, 41, 89)(33, 81, 40, 88)(34, 82, 42, 90)(43, 91, 46, 94)(44, 92, 48, 96)(45, 93, 47, 95)(97, 145, 99, 147, 107, 155, 123, 171, 111, 159, 101, 149)(98, 146, 103, 151, 115, 163, 131, 179, 119, 167, 105, 153)(100, 148, 110, 158, 102, 150, 114, 162, 124, 172, 112, 160)(104, 152, 118, 166, 106, 154, 122, 170, 132, 180, 120, 168)(108, 156, 125, 173, 109, 157, 127, 175, 113, 161, 126, 174)(116, 164, 133, 181, 117, 165, 135, 183, 121, 169, 134, 182)(128, 176, 139, 187, 129, 177, 140, 188, 130, 178, 141, 189)(136, 184, 142, 190, 137, 185, 143, 191, 138, 186, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 113)(6, 97)(7, 116)(8, 119)(9, 121)(10, 98)(11, 102)(12, 101)(13, 99)(14, 128)(15, 124)(16, 130)(17, 123)(18, 129)(19, 106)(20, 105)(21, 103)(22, 136)(23, 132)(24, 138)(25, 131)(26, 137)(27, 109)(28, 107)(29, 139)(30, 141)(31, 140)(32, 112)(33, 110)(34, 114)(35, 117)(36, 115)(37, 142)(38, 144)(39, 143)(40, 120)(41, 118)(42, 122)(43, 126)(44, 125)(45, 127)(46, 134)(47, 133)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1089
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.1077 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-2 * Y3^-1, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3^-2 * Y2^4, Y2^-2 * Y1 * Y3^2 * Y1, Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y2^-1, R * Y2^-1 * Y1 * R * Y2 * Y1, (Y2 * Y3^-1 * Y1)^2, (Y2 * Y3)^4, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 18, 66)(6, 54, 8, 56)(7, 55, 21, 69)(9, 57, 28, 76)(12, 60, 26, 74)(13, 61, 25, 73)(14, 62, 27, 75)(15, 63, 23, 71)(16, 64, 22, 70)(17, 65, 24, 72)(19, 67, 30, 78)(20, 68, 29, 77)(31, 79, 40, 88)(32, 80, 48, 96)(33, 81, 47, 95)(34, 82, 43, 91)(35, 83, 45, 93)(36, 84, 44, 92)(37, 85, 46, 94)(38, 86, 42, 90)(39, 87, 41, 89)(97, 145, 99, 147, 108, 156, 129, 177, 112, 160, 101, 149)(98, 146, 103, 151, 118, 166, 138, 186, 122, 170, 105, 153)(100, 148, 111, 159, 102, 150, 116, 164, 130, 178, 113, 161)(104, 152, 121, 169, 106, 154, 126, 174, 139, 187, 123, 171)(107, 155, 127, 175, 114, 162, 135, 183, 143, 191, 128, 176)(109, 157, 131, 179, 110, 158, 133, 181, 115, 163, 132, 180)(117, 165, 136, 184, 124, 172, 144, 192, 134, 182, 137, 185)(119, 167, 140, 188, 120, 168, 142, 190, 125, 173, 141, 189)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 115)(6, 97)(7, 119)(8, 122)(9, 125)(10, 98)(11, 123)(12, 102)(13, 101)(14, 99)(15, 117)(16, 130)(17, 134)(18, 121)(19, 129)(20, 124)(21, 113)(22, 106)(23, 105)(24, 103)(25, 107)(26, 139)(27, 143)(28, 111)(29, 138)(30, 114)(31, 141)(32, 142)(33, 110)(34, 108)(35, 136)(36, 137)(37, 144)(38, 116)(39, 140)(40, 132)(41, 133)(42, 120)(43, 118)(44, 127)(45, 128)(46, 135)(47, 126)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1087
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.1078 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (Y2, Y3^-1), Y3^4, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y1 * Y2 * Y1, Y2^6, (Y2^2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 27, 75)(13, 61, 25, 73)(14, 62, 28, 76)(15, 63, 24, 72)(16, 64, 22, 70)(18, 66, 21, 69)(19, 67, 23, 71)(29, 77, 41, 89)(30, 78, 43, 91)(31, 79, 42, 90)(32, 80, 40, 88)(33, 81, 39, 87)(34, 82, 36, 84)(35, 83, 38, 86)(37, 85, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 108, 156, 126, 174, 114, 162, 101, 149)(98, 146, 103, 151, 117, 165, 133, 181, 123, 171, 105, 153)(100, 148, 109, 157, 127, 175, 140, 188, 129, 177, 112, 160)(102, 150, 110, 158, 128, 176, 141, 189, 131, 179, 115, 163)(104, 152, 118, 166, 134, 182, 143, 191, 136, 184, 121, 169)(106, 154, 119, 167, 135, 183, 144, 192, 138, 186, 124, 172)(107, 155, 120, 168, 113, 161, 130, 178, 139, 187, 125, 173)(111, 159, 122, 170, 137, 185, 142, 190, 132, 180, 116, 164)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 118)(8, 120)(9, 121)(10, 98)(11, 124)(12, 127)(13, 122)(14, 99)(15, 102)(16, 116)(17, 119)(18, 129)(19, 101)(20, 115)(21, 134)(22, 113)(23, 103)(24, 106)(25, 107)(26, 110)(27, 136)(28, 105)(29, 138)(30, 140)(31, 137)(32, 108)(33, 132)(34, 135)(35, 114)(36, 131)(37, 143)(38, 130)(39, 117)(40, 125)(41, 128)(42, 123)(43, 144)(44, 142)(45, 126)(46, 141)(47, 139)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1091
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.1079 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 47>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y2)^2, Y3^2 * Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y2 * Y3^-2 * Y1 * Y2^-1 * Y1, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 21, 69)(13, 61, 22, 70)(14, 62, 23, 71)(15, 63, 24, 72)(16, 64, 25, 73)(18, 66, 27, 75)(19, 67, 28, 76)(29, 77, 36, 84)(30, 78, 43, 91)(31, 79, 39, 87)(32, 80, 38, 86)(33, 81, 42, 90)(34, 82, 41, 89)(35, 83, 40, 88)(37, 85, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 108, 156, 126, 174, 114, 162, 101, 149)(98, 146, 103, 151, 117, 165, 133, 181, 123, 171, 105, 153)(100, 148, 109, 157, 127, 175, 140, 188, 129, 177, 112, 160)(102, 150, 110, 158, 128, 176, 141, 189, 131, 179, 115, 163)(104, 152, 118, 166, 134, 182, 143, 191, 136, 184, 121, 169)(106, 154, 119, 167, 135, 183, 144, 192, 138, 186, 124, 172)(107, 155, 125, 173, 139, 187, 130, 178, 113, 161, 120, 168)(111, 159, 116, 164, 132, 180, 142, 190, 137, 185, 122, 170)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 118)(8, 120)(9, 121)(10, 98)(11, 119)(12, 127)(13, 116)(14, 99)(15, 102)(16, 122)(17, 124)(18, 129)(19, 101)(20, 110)(21, 134)(22, 107)(23, 103)(24, 106)(25, 113)(26, 115)(27, 136)(28, 105)(29, 135)(30, 140)(31, 132)(32, 108)(33, 137)(34, 138)(35, 114)(36, 128)(37, 143)(38, 125)(39, 117)(40, 130)(41, 131)(42, 123)(43, 144)(44, 142)(45, 126)(46, 141)(47, 139)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1090
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.1080 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3), (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-2 * Y3^4, (Y2^-2 * Y1)^2, Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y2^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 21, 69)(9, 57, 27, 75)(12, 60, 28, 76)(13, 61, 23, 71)(14, 62, 32, 80)(15, 63, 30, 78)(16, 64, 37, 85)(18, 66, 22, 70)(19, 67, 29, 77)(20, 68, 25, 73)(24, 72, 41, 89)(26, 74, 46, 94)(31, 79, 40, 88)(33, 81, 45, 93)(34, 82, 48, 96)(35, 83, 47, 95)(36, 84, 42, 90)(38, 86, 44, 92)(39, 87, 43, 91)(97, 145, 99, 147, 108, 156, 129, 177, 114, 162, 101, 149)(98, 146, 103, 151, 118, 166, 138, 186, 124, 172, 105, 153)(100, 148, 109, 157, 130, 178, 142, 190, 134, 182, 112, 160)(102, 150, 110, 158, 131, 179, 137, 185, 135, 183, 115, 163)(104, 152, 119, 167, 139, 187, 133, 181, 143, 191, 122, 170)(106, 154, 120, 168, 140, 188, 128, 176, 144, 192, 125, 173)(107, 155, 127, 175, 113, 161, 126, 174, 141, 189, 121, 169)(111, 159, 117, 165, 136, 184, 123, 171, 116, 164, 132, 180)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 119)(8, 121)(9, 122)(10, 98)(11, 128)(12, 130)(13, 117)(14, 99)(15, 131)(16, 132)(17, 125)(18, 134)(19, 101)(20, 102)(21, 137)(22, 139)(23, 107)(24, 103)(25, 140)(26, 141)(27, 115)(28, 143)(29, 105)(30, 106)(31, 144)(32, 138)(33, 142)(34, 136)(35, 108)(36, 110)(37, 113)(38, 116)(39, 114)(40, 135)(41, 129)(42, 133)(43, 127)(44, 118)(45, 120)(46, 123)(47, 126)(48, 124)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1092
Graph:: simple bipartite
	v = 32 e = 96 f = 28
	degree seq :: [ 4^24, 12^8 ]

E19.1081 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = C2 x C2 x D24 (small group id <96, 207>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^4, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, (Y3, Y1^-1), Y3^4, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 18, 66, 33, 81, 29, 77, 14, 62, 24, 72, 39, 87, 31, 79, 16, 64, 5, 53)(3, 51, 11, 59, 25, 73, 41, 89, 48, 96, 40, 88, 28, 76, 44, 92, 45, 93, 34, 82, 19, 67, 8, 56)(4, 52, 9, 57, 20, 68, 35, 83, 32, 80, 17, 65, 6, 54, 10, 58, 21, 69, 36, 84, 30, 78, 15, 63)(12, 60, 26, 74, 42, 90, 47, 95, 38, 86, 23, 71, 13, 61, 27, 75, 43, 91, 46, 94, 37, 85, 22, 70)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 107, 155)(102, 150, 108, 156)(103, 151, 115, 163)(105, 153, 119, 167)(106, 154, 118, 166)(110, 158, 124, 172)(111, 159, 123, 171)(112, 160, 121, 169)(113, 161, 122, 170)(114, 162, 130, 178)(116, 164, 134, 182)(117, 165, 133, 181)(120, 168, 136, 184)(125, 173, 140, 188)(126, 174, 139, 187)(127, 175, 137, 185)(128, 176, 138, 186)(129, 177, 141, 189)(131, 179, 143, 191)(132, 180, 142, 190)(135, 183, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 110)(5, 111)(6, 97)(7, 116)(8, 118)(9, 120)(10, 98)(11, 122)(12, 124)(13, 99)(14, 102)(15, 125)(16, 126)(17, 101)(18, 131)(19, 133)(20, 135)(21, 103)(22, 136)(23, 104)(24, 106)(25, 138)(26, 140)(27, 107)(28, 109)(29, 113)(30, 129)(31, 132)(32, 112)(33, 128)(34, 142)(35, 127)(36, 114)(37, 144)(38, 115)(39, 117)(40, 119)(41, 143)(42, 141)(43, 121)(44, 123)(45, 139)(46, 137)(47, 130)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 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 E19.1069
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 4^24, 24^4 ]

E19.1082 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = C2 x C2 x D24 (small group id <96, 207>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3 * Y1^-1)^2, Y1^-1 * Y3^2 * Y1^-1, (Y3^-1, Y1^-1), (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1)^6, Y3^2 * Y1^10 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 16, 64, 25, 73, 33, 81, 41, 89, 39, 87, 31, 79, 23, 71, 14, 62, 5, 53)(3, 51, 11, 59, 21, 69, 29, 77, 37, 85, 45, 93, 47, 95, 42, 90, 34, 82, 26, 74, 17, 65, 8, 56)(4, 52, 9, 57, 18, 66, 27, 75, 35, 83, 43, 91, 40, 88, 32, 80, 24, 72, 15, 63, 6, 54, 10, 58)(12, 60, 22, 70, 30, 78, 38, 86, 46, 94, 48, 96, 44, 92, 36, 84, 28, 76, 20, 68, 13, 61, 19, 67)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 107, 155)(102, 150, 108, 156)(103, 151, 113, 161)(105, 153, 116, 164)(106, 154, 115, 163)(110, 158, 117, 165)(111, 159, 118, 166)(112, 160, 122, 170)(114, 162, 124, 172)(119, 167, 125, 173)(120, 168, 126, 174)(121, 169, 130, 178)(123, 171, 132, 180)(127, 175, 133, 181)(128, 176, 134, 182)(129, 177, 138, 186)(131, 179, 140, 188)(135, 183, 141, 189)(136, 184, 142, 190)(137, 185, 143, 191)(139, 187, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 103)(5, 106)(6, 97)(7, 114)(8, 115)(9, 112)(10, 98)(11, 118)(12, 117)(13, 99)(14, 102)(15, 101)(16, 123)(17, 109)(18, 121)(19, 107)(20, 104)(21, 126)(22, 125)(23, 111)(24, 110)(25, 131)(26, 116)(27, 129)(28, 113)(29, 134)(30, 133)(31, 120)(32, 119)(33, 139)(34, 124)(35, 137)(36, 122)(37, 142)(38, 141)(39, 128)(40, 127)(41, 136)(42, 132)(43, 135)(44, 130)(45, 144)(46, 143)(47, 140)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 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 E19.1070
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 4^24, 24^4 ]

E19.1083 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C6 x D8 (small group id <48, 45>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, Y1 * Y3 * Y1^-2 * Y3 * Y1, Y1^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^2 * Y3, (Y1^-3 * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 30, 78, 26, 74, 38, 86, 25, 73, 37, 85, 29, 77, 14, 62, 5, 53)(3, 51, 7, 55, 16, 64, 31, 79, 44, 92, 40, 88, 48, 96, 39, 87, 47, 95, 43, 91, 24, 72, 10, 58)(4, 52, 11, 59, 17, 65, 34, 82, 28, 76, 13, 61, 20, 68, 8, 56, 19, 67, 32, 80, 27, 75, 12, 60)(9, 57, 21, 69, 33, 81, 46, 94, 42, 90, 23, 71, 36, 84, 18, 66, 35, 83, 45, 93, 41, 89, 22, 70)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 105, 153)(101, 149, 106, 154)(102, 150, 112, 160)(104, 152, 114, 162)(107, 155, 117, 165)(108, 156, 118, 166)(109, 157, 119, 167)(110, 158, 120, 168)(111, 159, 127, 175)(113, 161, 129, 177)(115, 163, 131, 179)(116, 164, 132, 180)(121, 169, 135, 183)(122, 170, 136, 184)(123, 171, 137, 185)(124, 172, 138, 186)(125, 173, 139, 187)(126, 174, 140, 188)(128, 176, 141, 189)(130, 178, 142, 190)(133, 181, 143, 191)(134, 182, 144, 192)
	L = (1, 100)(2, 104)(3, 105)(4, 97)(5, 109)(6, 113)(7, 114)(8, 98)(9, 99)(10, 119)(11, 121)(12, 122)(13, 101)(14, 123)(15, 128)(16, 129)(17, 102)(18, 103)(19, 133)(20, 134)(21, 135)(22, 136)(23, 106)(24, 137)(25, 107)(26, 108)(27, 110)(28, 126)(29, 130)(30, 124)(31, 141)(32, 111)(33, 112)(34, 125)(35, 143)(36, 144)(37, 115)(38, 116)(39, 117)(40, 118)(41, 120)(42, 140)(43, 142)(44, 138)(45, 127)(46, 139)(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) :: { ( 4, 12, 4, 12 ), ( 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 E19.1073
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 4^24, 24^4 ]

E19.1084 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C6 x D8 (small group id <48, 45>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y2, Y1^2 * Y2 * Y1^-2 * Y2, Y3 * Y1^2 * Y3 * Y1^-2, Y2 * Y1^-5 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y1 * Y3 * Y1^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 17, 65, 35, 83, 28, 76, 43, 91, 25, 73, 41, 89, 34, 82, 16, 64, 5, 53)(3, 51, 9, 57, 18, 66, 38, 86, 32, 80, 14, 62, 22, 70, 7, 55, 20, 68, 36, 84, 30, 78, 11, 59)(4, 52, 12, 60, 19, 67, 40, 88, 33, 81, 15, 63, 24, 72, 8, 56, 23, 71, 37, 85, 31, 79, 13, 61)(10, 58, 21, 69, 39, 87, 47, 95, 46, 94, 29, 77, 44, 92, 26, 74, 42, 90, 48, 96, 45, 93, 27, 75)(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, 124, 172)(108, 156, 122, 170)(109, 157, 125, 173)(111, 159, 123, 171)(112, 160, 126, 174)(113, 161, 132, 180)(115, 163, 135, 183)(116, 164, 137, 185)(118, 166, 139, 187)(119, 167, 138, 186)(120, 168, 140, 188)(127, 175, 141, 189)(128, 176, 131, 179)(129, 177, 142, 190)(130, 178, 134, 182)(133, 181, 143, 191)(136, 184, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 111)(6, 115)(7, 117)(8, 98)(9, 122)(10, 99)(11, 125)(12, 121)(13, 124)(14, 123)(15, 101)(16, 127)(17, 133)(18, 135)(19, 102)(20, 138)(21, 103)(22, 140)(23, 137)(24, 139)(25, 108)(26, 105)(27, 110)(28, 109)(29, 107)(30, 141)(31, 112)(32, 142)(33, 131)(34, 136)(35, 129)(36, 143)(37, 113)(38, 144)(39, 114)(40, 130)(41, 119)(42, 116)(43, 120)(44, 118)(45, 126)(46, 128)(47, 132)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 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 E19.1072
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 4^24, 24^4 ]

E19.1085 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C6 x D8 (small group id <48, 45>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y3^-1), (Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y2 * Y1^-1 * Y2, Y2 * Y1^2 * Y2 * Y1^-2, Y1^-6 * Y3^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 20, 68, 37, 85, 30, 78, 15, 63, 28, 76, 44, 92, 35, 83, 18, 66, 5, 53)(3, 51, 11, 59, 21, 69, 41, 89, 34, 82, 17, 65, 26, 74, 8, 56, 24, 72, 38, 86, 31, 79, 13, 61)(4, 52, 9, 57, 22, 70, 39, 87, 36, 84, 19, 67, 6, 54, 10, 58, 23, 71, 40, 88, 33, 81, 16, 64)(12, 60, 27, 75, 42, 90, 48, 96, 46, 94, 32, 80, 14, 62, 25, 73, 43, 91, 47, 95, 45, 93, 29, 77)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 113, 161)(102, 150, 108, 156)(103, 151, 117, 165)(105, 153, 123, 171)(106, 154, 121, 169)(107, 155, 124, 172)(109, 157, 126, 174)(111, 159, 122, 170)(112, 160, 125, 173)(114, 162, 127, 175)(115, 163, 128, 176)(116, 164, 134, 182)(118, 166, 139, 187)(119, 167, 138, 186)(120, 168, 140, 188)(129, 177, 142, 190)(130, 178, 133, 181)(131, 179, 137, 185)(132, 180, 141, 189)(135, 183, 144, 192)(136, 184, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 112)(6, 97)(7, 118)(8, 121)(9, 124)(10, 98)(11, 123)(12, 122)(13, 125)(14, 99)(15, 102)(16, 126)(17, 128)(18, 129)(19, 101)(20, 135)(21, 138)(22, 140)(23, 103)(24, 139)(25, 107)(26, 110)(27, 104)(28, 106)(29, 113)(30, 115)(31, 141)(32, 109)(33, 133)(34, 142)(35, 136)(36, 114)(37, 132)(38, 143)(39, 131)(40, 116)(41, 144)(42, 120)(43, 117)(44, 119)(45, 130)(46, 127)(47, 137)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 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 E19.1071
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 4^24, 24^4 ]

E19.1086 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2, (Y1^2 * Y2)^2, Y3 * Y1^2 * Y3 * Y1^-2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^3 * Y2 * Y1^-2, (Y3 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 17, 65, 35, 83, 26, 74, 41, 89, 29, 77, 43, 91, 34, 82, 16, 64, 5, 53)(3, 51, 9, 57, 25, 73, 36, 84, 22, 70, 7, 55, 20, 68, 14, 62, 32, 80, 39, 87, 18, 66, 11, 59)(4, 52, 12, 60, 19, 67, 40, 88, 33, 81, 15, 63, 24, 72, 8, 56, 23, 71, 37, 85, 31, 79, 13, 61)(10, 58, 28, 76, 45, 93, 48, 96, 44, 92, 30, 78, 42, 90, 27, 75, 46, 94, 47, 95, 38, 86, 21, 69)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 110, 158)(102, 150, 114, 162)(104, 152, 117, 165)(105, 153, 122, 170)(107, 155, 125, 173)(108, 156, 126, 174)(109, 157, 123, 171)(111, 159, 124, 172)(112, 160, 121, 169)(113, 161, 132, 180)(115, 163, 134, 182)(116, 164, 137, 185)(118, 166, 139, 187)(119, 167, 140, 188)(120, 168, 138, 186)(127, 175, 141, 189)(128, 176, 131, 179)(129, 177, 142, 190)(130, 178, 135, 183)(133, 181, 143, 191)(136, 184, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 111)(6, 115)(7, 117)(8, 98)(9, 123)(10, 99)(11, 126)(12, 125)(13, 122)(14, 124)(15, 101)(16, 127)(17, 133)(18, 134)(19, 102)(20, 138)(21, 103)(22, 140)(23, 139)(24, 137)(25, 141)(26, 109)(27, 105)(28, 110)(29, 108)(30, 107)(31, 112)(32, 142)(33, 131)(34, 136)(35, 129)(36, 143)(37, 113)(38, 114)(39, 144)(40, 130)(41, 120)(42, 116)(43, 119)(44, 118)(45, 121)(46, 128)(47, 132)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 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 E19.1075
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 4^24, 24^4 ]

E19.1087 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y1^-1 * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y1^-4, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2, Y3^-1 * Y1^-1 * Y3^3 * Y1^-1, Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2, (Y3 * Y1^2)^2, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, (Y1^-1 * R * Y2)^2, Y3^6, (Y2 * Y1^-2)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 22, 70, 34, 82, 46, 94, 39, 87, 16, 64, 32, 80, 19, 67, 5, 53)(3, 51, 11, 59, 35, 83, 42, 90, 29, 77, 8, 56, 27, 75, 17, 65, 38, 86, 44, 92, 24, 72, 13, 61)(4, 52, 15, 63, 25, 73, 21, 69, 6, 54, 18, 66, 26, 74, 9, 57, 31, 79, 20, 68, 33, 81, 10, 58)(12, 60, 37, 85, 45, 93, 30, 78, 14, 62, 40, 88, 47, 95, 36, 84, 48, 96, 41, 89, 43, 91, 28, 76)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 113, 161)(102, 150, 108, 156)(103, 151, 120, 168)(105, 153, 126, 174)(106, 154, 124, 172)(107, 155, 130, 178)(109, 157, 135, 183)(111, 159, 137, 185)(112, 160, 125, 173)(114, 162, 136, 184)(115, 163, 131, 179)(116, 164, 133, 181)(117, 165, 132, 180)(118, 166, 134, 182)(119, 167, 138, 186)(121, 169, 141, 189)(122, 170, 139, 187)(123, 171, 142, 190)(127, 175, 144, 192)(128, 176, 140, 188)(129, 177, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 114)(6, 97)(7, 121)(8, 124)(9, 128)(10, 98)(11, 132)(12, 134)(13, 136)(14, 99)(15, 119)(16, 127)(17, 133)(18, 135)(19, 129)(20, 101)(21, 130)(22, 102)(23, 116)(24, 139)(25, 115)(26, 103)(27, 143)(28, 107)(29, 110)(30, 104)(31, 118)(32, 117)(33, 142)(34, 106)(35, 141)(36, 140)(37, 138)(38, 144)(39, 111)(40, 113)(41, 109)(42, 137)(43, 123)(44, 126)(45, 120)(46, 122)(47, 131)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 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 E19.1077
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 4^24, 24^4 ]

E19.1088 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, Y3 * Y1^-2 * Y3 * Y1^2, (Y3 * Y1^3)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 30, 78, 26, 74, 38, 86, 25, 73, 37, 85, 29, 77, 14, 62, 5, 53)(3, 51, 9, 57, 21, 69, 39, 87, 48, 96, 43, 91, 47, 95, 42, 90, 44, 92, 31, 79, 16, 64, 7, 55)(4, 52, 11, 59, 17, 65, 34, 82, 28, 76, 13, 61, 20, 68, 8, 56, 19, 67, 32, 80, 27, 75, 12, 60)(10, 58, 23, 71, 40, 88, 45, 93, 36, 84, 18, 66, 35, 83, 22, 70, 41, 89, 46, 94, 33, 81, 24, 72)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 105, 153)(102, 150, 112, 160)(104, 152, 114, 162)(107, 155, 120, 168)(108, 156, 119, 167)(109, 157, 118, 166)(110, 158, 117, 165)(111, 159, 127, 175)(113, 161, 129, 177)(115, 163, 132, 180)(116, 164, 131, 179)(121, 169, 139, 187)(122, 170, 138, 186)(123, 171, 136, 184)(124, 172, 137, 185)(125, 173, 135, 183)(126, 174, 140, 188)(128, 176, 141, 189)(130, 178, 142, 190)(133, 181, 144, 192)(134, 182, 143, 191)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 109)(6, 113)(7, 114)(8, 98)(9, 118)(10, 99)(11, 121)(12, 122)(13, 101)(14, 123)(15, 128)(16, 129)(17, 102)(18, 103)(19, 133)(20, 134)(21, 136)(22, 105)(23, 138)(24, 139)(25, 107)(26, 108)(27, 110)(28, 126)(29, 130)(30, 124)(31, 141)(32, 111)(33, 112)(34, 125)(35, 143)(36, 144)(37, 115)(38, 116)(39, 142)(40, 117)(41, 140)(42, 119)(43, 120)(44, 137)(45, 127)(46, 135)(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) :: { ( 4, 12, 4, 12 ), ( 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 E19.1074
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 4^24, 24^4 ]

E19.1089 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3 * Y1^-1)^2, (Y2 * Y1)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3^-3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-3 * Y3^-2 * Y1^-1, (Y1 * Y3 * Y1)^2, Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 20, 68, 30, 78, 42, 90, 38, 86, 15, 63, 28, 76, 17, 65, 5, 53)(3, 51, 11, 59, 31, 79, 46, 94, 37, 85, 47, 95, 48, 96, 44, 92, 35, 83, 39, 87, 22, 70, 8, 56)(4, 52, 14, 62, 23, 71, 19, 67, 6, 54, 16, 64, 24, 72, 9, 57, 27, 75, 18, 66, 29, 77, 10, 58)(12, 60, 34, 82, 41, 89, 36, 84, 13, 61, 25, 73, 43, 91, 32, 80, 45, 93, 26, 74, 40, 88, 33, 81)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 107, 155)(102, 150, 108, 156)(103, 151, 118, 166)(105, 153, 122, 170)(106, 154, 121, 169)(110, 158, 132, 180)(111, 159, 133, 181)(112, 160, 129, 177)(113, 161, 127, 175)(114, 162, 128, 176)(115, 163, 130, 178)(116, 164, 131, 179)(117, 165, 135, 183)(119, 167, 137, 185)(120, 168, 136, 184)(123, 171, 141, 189)(124, 172, 142, 190)(125, 173, 139, 187)(126, 174, 140, 188)(134, 182, 143, 191)(138, 186, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 112)(6, 97)(7, 119)(8, 121)(9, 124)(10, 98)(11, 128)(12, 131)(13, 99)(14, 117)(15, 123)(16, 134)(17, 125)(18, 101)(19, 126)(20, 102)(21, 114)(22, 136)(23, 113)(24, 103)(25, 140)(26, 104)(27, 116)(28, 115)(29, 138)(30, 106)(31, 137)(32, 135)(33, 107)(34, 142)(35, 141)(36, 143)(37, 109)(38, 110)(39, 132)(40, 144)(41, 118)(42, 120)(43, 127)(44, 130)(45, 133)(46, 122)(47, 129)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 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 E19.1076
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 4^24, 24^4 ]

E19.1090 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 47>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3, Y1), Y2 * Y1 * Y2 * Y1^-1, Y3^4, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 18, 66, 33, 81, 29, 77, 14, 62, 24, 72, 39, 87, 31, 79, 16, 64, 5, 53)(3, 51, 8, 56, 19, 67, 34, 82, 45, 93, 41, 89, 25, 73, 40, 88, 48, 96, 43, 91, 27, 75, 12, 60)(4, 52, 9, 57, 20, 68, 35, 83, 32, 80, 17, 65, 6, 54, 10, 58, 21, 69, 36, 84, 30, 78, 15, 63)(11, 59, 22, 70, 37, 85, 46, 94, 44, 92, 28, 76, 13, 61, 23, 71, 38, 86, 47, 95, 42, 90, 26, 74)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 108, 156)(102, 150, 107, 155)(103, 151, 115, 163)(105, 153, 119, 167)(106, 154, 118, 166)(110, 158, 121, 169)(111, 159, 124, 172)(112, 160, 123, 171)(113, 161, 122, 170)(114, 162, 130, 178)(116, 164, 134, 182)(117, 165, 133, 181)(120, 168, 136, 184)(125, 173, 137, 185)(126, 174, 140, 188)(127, 175, 139, 187)(128, 176, 138, 186)(129, 177, 141, 189)(131, 179, 143, 191)(132, 180, 142, 190)(135, 183, 144, 192)
	L = (1, 100)(2, 105)(3, 107)(4, 110)(5, 111)(6, 97)(7, 116)(8, 118)(9, 120)(10, 98)(11, 121)(12, 122)(13, 99)(14, 102)(15, 125)(16, 126)(17, 101)(18, 131)(19, 133)(20, 135)(21, 103)(22, 136)(23, 104)(24, 106)(25, 109)(26, 137)(27, 138)(28, 108)(29, 113)(30, 129)(31, 132)(32, 112)(33, 128)(34, 142)(35, 127)(36, 114)(37, 144)(38, 115)(39, 117)(40, 119)(41, 124)(42, 141)(43, 143)(44, 123)(45, 140)(46, 139)(47, 130)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 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 E19.1079
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 4^24, 24^4 ]

E19.1091 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3^-1, Y1^-1), (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^-1 * R * Y2 * R, R * Y3^-2 * Y2 * R * Y2, Y3^2 * Y1^-6, Y2 * Y1^3 * Y2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 20, 68, 37, 85, 30, 78, 15, 63, 28, 76, 44, 92, 35, 83, 18, 66, 5, 53)(3, 51, 11, 59, 29, 77, 38, 86, 26, 74, 8, 56, 24, 72, 17, 65, 34, 82, 42, 90, 21, 69, 13, 61)(4, 52, 9, 57, 22, 70, 39, 87, 36, 84, 19, 67, 6, 54, 10, 58, 23, 71, 40, 88, 33, 81, 16, 64)(12, 60, 31, 79, 45, 93, 47, 95, 43, 91, 25, 73, 14, 62, 32, 80, 46, 94, 48, 96, 41, 89, 27, 75)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 113, 161)(102, 150, 108, 156)(103, 151, 117, 165)(105, 153, 123, 171)(106, 154, 121, 169)(107, 155, 126, 174)(109, 157, 124, 172)(111, 159, 120, 168)(112, 160, 127, 175)(114, 162, 125, 173)(115, 163, 128, 176)(116, 164, 134, 182)(118, 166, 139, 187)(119, 167, 137, 185)(122, 170, 140, 188)(129, 177, 142, 190)(130, 178, 133, 181)(131, 179, 138, 186)(132, 180, 141, 189)(135, 183, 144, 192)(136, 184, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 112)(6, 97)(7, 118)(8, 121)(9, 124)(10, 98)(11, 127)(12, 120)(13, 123)(14, 99)(15, 102)(16, 126)(17, 128)(18, 129)(19, 101)(20, 135)(21, 137)(22, 140)(23, 103)(24, 110)(25, 109)(26, 139)(27, 104)(28, 106)(29, 141)(30, 115)(31, 113)(32, 107)(33, 133)(34, 142)(35, 136)(36, 114)(37, 132)(38, 143)(39, 131)(40, 116)(41, 122)(42, 144)(43, 117)(44, 119)(45, 130)(46, 125)(47, 138)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 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 E19.1078
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 4^24, 24^4 ]

E19.1092 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y1^-1, Y3), (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y3^2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y3^2 * Y2 * Y1, Y2 * Y1^-1 * Y2 * Y1^5, Y1^-4 * Y2 * Y1 * Y2 * Y1^-1, (Y2 * Y1^-1)^4, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 18, 66, 35, 83, 26, 74, 40, 88, 29, 77, 43, 91, 33, 81, 16, 64, 5, 53)(3, 51, 11, 59, 25, 73, 36, 84, 23, 71, 8, 56, 21, 69, 15, 63, 31, 79, 38, 86, 19, 67, 13, 61)(4, 52, 9, 57, 20, 68, 37, 85, 47, 95, 45, 93, 48, 96, 46, 94, 34, 82, 17, 65, 6, 54, 10, 58)(12, 60, 27, 75, 44, 92, 24, 72, 42, 90, 22, 70, 41, 89, 32, 80, 39, 87, 30, 78, 14, 62, 28, 76)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 111, 159)(102, 150, 108, 156)(103, 151, 115, 163)(105, 153, 120, 168)(106, 154, 118, 166)(107, 155, 122, 170)(109, 157, 125, 173)(112, 160, 121, 169)(113, 161, 128, 176)(114, 162, 132, 180)(116, 164, 135, 183)(117, 165, 136, 184)(119, 167, 139, 187)(123, 171, 133, 181)(124, 172, 141, 189)(126, 174, 142, 190)(127, 175, 131, 179)(129, 177, 134, 182)(130, 178, 140, 188)(137, 185, 143, 191)(138, 186, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 103)(5, 106)(6, 97)(7, 116)(8, 118)(9, 114)(10, 98)(11, 123)(12, 121)(13, 124)(14, 99)(15, 128)(16, 102)(17, 101)(18, 133)(19, 110)(20, 131)(21, 137)(22, 111)(23, 138)(24, 104)(25, 140)(26, 141)(27, 132)(28, 107)(29, 142)(30, 109)(31, 135)(32, 134)(33, 113)(34, 112)(35, 143)(36, 120)(37, 122)(38, 126)(39, 115)(40, 144)(41, 127)(42, 117)(43, 130)(44, 119)(45, 125)(46, 129)(47, 136)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 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 E19.1080
Graph:: simple bipartite
	v = 28 e = 96 f = 32
	degree seq :: [ 4^24, 24^4 ]

E19.1093 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C6 x D8 (small group id <48, 45>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1), Y1^-1 * Y3^-2 * Y1^-1, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y3^-1 * Y2)^2, (R * Y1)^2, Y3 * Y1^-3 * Y3 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y1^-2 * Y3, Y2^4 * Y3^2, (Y2^-1 * Y3^-1 * Y2^-1)^2, (Y2^-2 * R)^2, Y3^-1 * Y2 * Y3 * Y2 * Y1^2, Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 27, 75, 19, 67, 5, 53)(3, 51, 13, 61, 28, 76, 11, 59, 36, 84, 16, 64)(4, 52, 10, 58, 7, 55, 12, 60, 30, 78, 20, 68)(6, 54, 22, 70, 29, 77, 21, 69, 33, 81, 9, 57)(14, 62, 31, 79, 45, 93, 41, 89, 24, 72, 38, 86)(15, 63, 35, 83, 17, 65, 37, 85, 26, 74, 39, 87)(18, 66, 32, 80, 23, 71, 34, 82, 25, 73, 40, 88)(42, 90, 46, 94, 43, 91, 47, 95, 44, 92, 48, 96)(97, 145, 99, 147, 110, 158, 125, 173, 104, 152, 124, 172, 141, 189, 129, 177, 115, 163, 132, 180, 120, 168, 102, 150)(98, 146, 105, 153, 127, 175, 112, 160, 123, 171, 118, 166, 137, 185, 109, 157, 101, 149, 117, 165, 134, 182, 107, 155)(100, 148, 114, 162, 138, 186, 122, 170, 103, 151, 119, 167, 139, 187, 111, 159, 126, 174, 121, 169, 140, 188, 113, 161)(106, 154, 131, 179, 142, 190, 136, 184, 108, 156, 133, 181, 143, 191, 128, 176, 116, 164, 135, 183, 144, 192, 130, 178)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 116)(6, 119)(7, 97)(8, 103)(9, 128)(10, 101)(11, 133)(12, 98)(13, 131)(14, 138)(15, 132)(16, 135)(17, 99)(18, 125)(19, 126)(20, 123)(21, 136)(22, 130)(23, 129)(24, 140)(25, 102)(26, 124)(27, 108)(28, 113)(29, 121)(30, 104)(31, 142)(32, 117)(33, 114)(34, 105)(35, 112)(36, 122)(37, 109)(38, 144)(39, 107)(40, 118)(41, 143)(42, 120)(43, 110)(44, 141)(45, 139)(46, 134)(47, 127)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^12 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1068
Graph:: bipartite
	v = 12 e = 96 f = 48
	degree seq :: [ 12^8, 24^4 ]

E19.1094 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 12, 12})
Quotient :: edge
Aut^+ = C3 x (C4 : C4) (small group id <48, 22>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2^2 * T1^-1 * T2^-2 * T1, T1^-2 * T2 * T1^2 * T2^-1, (T1^-1 * T2)^4, T2^4 * T1^-4, (T2^-1, T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 38, 34, 48, 24, 45, 21, 17, 5)(2, 7, 22, 16, 33, 11, 31, 43, 35, 41, 26, 8)(4, 12, 30, 40, 18, 39, 37, 15, 28, 9, 27, 14)(6, 19, 42, 25, 47, 23, 46, 36, 13, 32, 44, 20)(49, 50, 54, 66, 86, 81, 95, 76, 93, 83, 61, 52)(51, 57, 67, 89, 82, 60, 71, 55, 69, 87, 80, 59)(53, 63, 68, 91, 77, 62, 73, 56, 72, 88, 84, 64)(58, 70, 90, 85, 96, 79, 94, 75, 65, 74, 92, 78)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1095
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 12^8 ]

E19.1095 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 12, 12})
Quotient :: loop
Aut^+ = C3 x (C4 : C4) (small group id <48, 22>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2^2 * T1^-1 * T2^-2 * T1, T1^-2 * T2 * T1^2 * T2^-1, (T1^-1 * T2)^4, T2^4 * T1^-4, (T2^-1, T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 29, 77, 38, 86, 34, 82, 48, 96, 24, 72, 45, 93, 21, 69, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 16, 64, 33, 81, 11, 59, 31, 79, 43, 91, 35, 83, 41, 89, 26, 74, 8, 56)(4, 52, 12, 60, 30, 78, 40, 88, 18, 66, 39, 87, 37, 85, 15, 63, 28, 76, 9, 57, 27, 75, 14, 62)(6, 54, 19, 67, 42, 90, 25, 73, 47, 95, 23, 71, 46, 94, 36, 84, 13, 61, 32, 80, 44, 92, 20, 68)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 69)(8, 72)(9, 67)(10, 70)(11, 51)(12, 71)(13, 52)(14, 73)(15, 68)(16, 53)(17, 74)(18, 86)(19, 89)(20, 91)(21, 87)(22, 90)(23, 55)(24, 88)(25, 56)(26, 92)(27, 65)(28, 93)(29, 62)(30, 58)(31, 94)(32, 59)(33, 95)(34, 60)(35, 61)(36, 64)(37, 96)(38, 81)(39, 80)(40, 84)(41, 82)(42, 85)(43, 77)(44, 78)(45, 83)(46, 75)(47, 76)(48, 79)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1094
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.1096 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C4 : C4) (small group id <48, 22>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^2 * Y3 * Y2^-2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y2 * Y1^2 * Y2^-1, Y3 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y1^-3 * Y2^-1 * Y1^-1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y1 * Y2^3 * Y1^-1 * Y2^3, Y1^-3 * Y2^4 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 38, 86, 36, 84, 47, 95, 31, 79, 45, 93, 27, 75, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 14, 62, 25, 73, 8, 56, 24, 72, 39, 87, 37, 85, 44, 92, 32, 80, 11, 59)(5, 53, 15, 63, 20, 68, 41, 89, 29, 77, 48, 96, 34, 82, 12, 60, 23, 71, 7, 55, 21, 69, 16, 64)(10, 58, 22, 70, 40, 88, 33, 81, 46, 94, 28, 76, 43, 91, 35, 83, 17, 65, 26, 74, 42, 90, 30, 78)(97, 145, 99, 147, 106, 154, 125, 173, 134, 182, 121, 169, 142, 190, 119, 167, 141, 189, 133, 181, 113, 161, 101, 149)(98, 146, 103, 151, 118, 166, 140, 188, 132, 180, 111, 159, 124, 172, 105, 153, 123, 171, 144, 192, 122, 170, 104, 152)(100, 148, 108, 156, 126, 174, 135, 183, 114, 162, 112, 160, 129, 177, 107, 155, 127, 175, 137, 185, 131, 179, 110, 158)(102, 150, 115, 163, 136, 184, 130, 178, 143, 191, 120, 168, 139, 187, 117, 165, 109, 157, 128, 176, 138, 186, 116, 164)
	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, 123)(14, 115)(15, 101)(16, 117)(17, 131)(18, 102)(19, 105)(20, 111)(21, 103)(22, 106)(23, 108)(24, 104)(25, 110)(26, 113)(27, 141)(28, 142)(29, 137)(30, 138)(31, 143)(32, 140)(33, 136)(34, 144)(35, 139)(36, 134)(37, 135)(38, 114)(39, 120)(40, 118)(41, 116)(42, 122)(43, 124)(44, 133)(45, 127)(46, 129)(47, 132)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E19.1097
Graph:: bipartite
	v = 8 e = 96 f = 52
	degree seq :: [ 24^8 ]

E19.1097 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C4 : C4) (small group id <48, 22>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-3 * Y3 * Y2^-1 * Y3, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, Y3^3 * Y2 * Y3^3 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
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, 134, 182, 123, 171, 139, 187, 132, 180, 143, 191, 128, 176, 109, 157, 100, 148)(99, 147, 105, 153, 115, 163, 136, 184, 133, 181, 141, 189, 130, 178, 110, 158, 121, 169, 104, 152, 120, 168, 107, 155)(101, 149, 111, 159, 116, 164, 108, 156, 119, 167, 103, 151, 117, 165, 135, 183, 125, 173, 144, 192, 129, 177, 112, 160)(106, 154, 118, 166, 137, 185, 131, 179, 113, 161, 122, 170, 138, 186, 127, 175, 142, 190, 124, 172, 140, 188, 126, 174)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 123)(10, 125)(11, 114)(12, 126)(13, 120)(14, 100)(15, 124)(16, 127)(17, 101)(18, 135)(19, 137)(20, 102)(21, 139)(22, 141)(23, 134)(24, 140)(25, 142)(26, 104)(27, 144)(28, 105)(29, 143)(30, 136)(31, 107)(32, 111)(33, 109)(34, 138)(35, 110)(36, 112)(37, 113)(38, 133)(39, 131)(40, 132)(41, 129)(42, 116)(43, 130)(44, 117)(45, 128)(46, 119)(47, 121)(48, 122)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1096
Graph:: simple bipartite
	v = 52 e = 96 f = 8
	degree seq :: [ 2^48, 24^4 ]

E19.1098 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-8, T1^8, T1^4 * T2^6 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 42, 26, 41, 40, 25, 13, 5)(2, 7, 17, 31, 47, 37, 22, 36, 48, 32, 18, 8)(4, 10, 20, 34, 44, 28, 14, 27, 43, 39, 24, 12)(6, 15, 29, 45, 38, 23, 11, 21, 35, 46, 30, 16)(49, 50, 54, 62, 74, 70, 59, 52)(51, 55, 63, 75, 89, 84, 69, 58)(53, 56, 64, 76, 90, 85, 71, 60)(57, 65, 77, 91, 88, 96, 83, 68)(61, 66, 78, 92, 81, 95, 86, 72)(67, 79, 93, 87, 73, 80, 94, 82)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^8 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1102
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 48 f = 2
	degree seq :: [ 8^6, 12^4 ]

E19.1099 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^-4 * T1^2, T1^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 6, 15, 26, 33, 23, 32, 42, 47, 39, 46, 45, 37, 28, 35, 30, 21, 11, 19, 13, 5)(2, 7, 17, 25, 14, 24, 34, 41, 31, 40, 48, 44, 36, 43, 38, 29, 20, 27, 22, 12, 4, 10, 18, 8)(49, 50, 54, 62, 71, 79, 87, 84, 76, 68, 59, 52)(51, 55, 63, 72, 80, 88, 94, 91, 83, 75, 67, 58)(53, 56, 64, 73, 81, 89, 95, 92, 85, 77, 69, 60)(57, 65, 74, 82, 90, 96, 93, 86, 78, 70, 61, 66)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^12 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1103
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.1100 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-2 * T1^-6, T2^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 25, 13, 5)(2, 7, 17, 31, 42, 32, 18, 8)(4, 10, 20, 34, 43, 37, 24, 12)(6, 15, 29, 40, 48, 41, 30, 16)(11, 21, 35, 44, 46, 38, 26, 23)(14, 27, 22, 36, 45, 47, 39, 28)(49, 50, 54, 62, 74, 72, 61, 66, 78, 87, 94, 91, 81, 90, 96, 93, 83, 68, 57, 65, 77, 70, 59, 52)(51, 55, 63, 75, 71, 60, 53, 56, 64, 76, 86, 85, 73, 80, 89, 95, 92, 82, 67, 79, 88, 84, 69, 58)
	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 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1101
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 8^6, 24^2 ]

E19.1101 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-8, T1^8, T1^4 * T2^6 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 33, 81, 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, 36, 84, 48, 96, 32, 80, 18, 66, 8, 56)(4, 52, 10, 58, 20, 68, 34, 82, 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, 21, 69, 35, 83, 46, 94, 30, 78, 16, 64)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 80)(26, 70)(27, 89)(28, 90)(29, 91)(30, 92)(31, 93)(32, 94)(33, 95)(34, 67)(35, 68)(36, 69)(37, 71)(38, 72)(39, 73)(40, 96)(41, 84)(42, 85)(43, 88)(44, 81)(45, 87)(46, 82)(47, 86)(48, 83)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1100
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.1102 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^-4 * T1^2, T1^12 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 16, 64, 6, 54, 15, 63, 26, 74, 33, 81, 23, 71, 32, 80, 42, 90, 47, 95, 39, 87, 46, 94, 45, 93, 37, 85, 28, 76, 35, 83, 30, 78, 21, 69, 11, 59, 19, 67, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 25, 73, 14, 62, 24, 72, 34, 82, 41, 89, 31, 79, 40, 88, 48, 96, 44, 92, 36, 84, 43, 91, 38, 86, 29, 77, 20, 68, 27, 75, 22, 70, 12, 60, 4, 52, 10, 58, 18, 66, 8, 56)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 71)(15, 72)(16, 73)(17, 74)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 79)(24, 80)(25, 81)(26, 82)(27, 67)(28, 68)(29, 69)(30, 70)(31, 87)(32, 88)(33, 89)(34, 90)(35, 75)(36, 76)(37, 77)(38, 78)(39, 84)(40, 94)(41, 95)(42, 96)(43, 83)(44, 85)(45, 86)(46, 91)(47, 92)(48, 93)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1098
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 10
	degree seq :: [ 48^2 ]

E19.1103 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-2 * T1^-6, T2^8 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 33, 81, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 31, 79, 42, 90, 32, 80, 18, 66, 8, 56)(4, 52, 10, 58, 20, 68, 34, 82, 43, 91, 37, 85, 24, 72, 12, 60)(6, 54, 15, 63, 29, 77, 40, 88, 48, 96, 41, 89, 30, 78, 16, 64)(11, 59, 21, 69, 35, 83, 44, 92, 46, 94, 38, 86, 26, 74, 23, 71)(14, 62, 27, 75, 22, 70, 36, 84, 45, 93, 47, 95, 39, 87, 28, 76)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 80)(26, 72)(27, 71)(28, 86)(29, 70)(30, 87)(31, 88)(32, 89)(33, 90)(34, 67)(35, 68)(36, 69)(37, 73)(38, 85)(39, 94)(40, 84)(41, 95)(42, 96)(43, 81)(44, 82)(45, 83)(46, 91)(47, 92)(48, 93)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1099
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.1104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y3^-1, Y2^-1), (Y2^-1, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^8, Y2 * Y3 * Y2 * Y3^2 * Y2^4 * Y1^-1, Y2^3 * Y3 * Y2^3 * Y1^-3, Y2^12, Y3^24 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 41, 89, 36, 84, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 42, 90, 37, 85, 23, 71, 12, 60)(9, 57, 17, 65, 29, 77, 43, 91, 40, 88, 48, 96, 35, 83, 20, 68)(13, 61, 18, 66, 30, 78, 44, 92, 33, 81, 47, 95, 38, 86, 24, 72)(19, 67, 31, 79, 45, 93, 39, 87, 25, 73, 32, 80, 46, 94, 34, 82)(97, 145, 99, 147, 105, 153, 115, 163, 129, 177, 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, 132, 180, 144, 192, 128, 176, 114, 162, 104, 152)(100, 148, 106, 154, 116, 164, 130, 178, 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, 117, 165, 131, 179, 142, 190, 126, 174, 112, 160)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 118)(12, 119)(13, 120)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 130)(20, 131)(21, 132)(22, 122)(23, 133)(24, 134)(25, 135)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 121)(33, 140)(34, 142)(35, 144)(36, 137)(37, 138)(38, 143)(39, 141)(40, 139)(41, 123)(42, 124)(43, 125)(44, 126)(45, 127)(46, 128)(47, 129)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.1107
Graph:: bipartite
	v = 10 e = 96 f = 50
	degree seq :: [ 16^6, 24^4 ]

E19.1105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2^-4 * Y1^2, Y1^12, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 23, 71, 31, 79, 39, 87, 36, 84, 28, 76, 20, 68, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 24, 72, 32, 80, 40, 88, 46, 94, 43, 91, 35, 83, 27, 75, 19, 67, 10, 58)(5, 53, 8, 56, 16, 64, 25, 73, 33, 81, 41, 89, 47, 95, 44, 92, 37, 85, 29, 77, 21, 69, 12, 60)(9, 57, 17, 65, 26, 74, 34, 82, 42, 90, 48, 96, 45, 93, 38, 86, 30, 78, 22, 70, 13, 61, 18, 66)(97, 145, 99, 147, 105, 153, 112, 160, 102, 150, 111, 159, 122, 170, 129, 177, 119, 167, 128, 176, 138, 186, 143, 191, 135, 183, 142, 190, 141, 189, 133, 181, 124, 172, 131, 179, 126, 174, 117, 165, 107, 155, 115, 163, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 121, 169, 110, 158, 120, 168, 130, 178, 137, 185, 127, 175, 136, 184, 144, 192, 140, 188, 132, 180, 139, 187, 134, 182, 125, 173, 116, 164, 123, 171, 118, 166, 108, 156, 100, 148, 106, 154, 114, 162, 104, 152)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 112)(10, 114)(11, 115)(12, 100)(13, 101)(14, 120)(15, 122)(16, 102)(17, 121)(18, 104)(19, 109)(20, 123)(21, 107)(22, 108)(23, 128)(24, 130)(25, 110)(26, 129)(27, 118)(28, 131)(29, 116)(30, 117)(31, 136)(32, 138)(33, 119)(34, 137)(35, 126)(36, 139)(37, 124)(38, 125)(39, 142)(40, 144)(41, 127)(42, 143)(43, 134)(44, 132)(45, 133)(46, 141)(47, 135)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E19.1106
Graph:: bipartite
	v = 6 e = 96 f = 54
	degree seq :: [ 24^4, 48^2 ]

E19.1106 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y2^-1, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-2 * Y3^6, Y2^8, (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, 110, 158, 122, 170, 118, 166, 107, 155, 100, 148)(99, 147, 103, 151, 111, 159, 123, 171, 134, 182, 130, 178, 117, 165, 106, 154)(101, 149, 104, 152, 112, 160, 124, 172, 135, 183, 131, 179, 119, 167, 108, 156)(105, 153, 113, 161, 125, 173, 136, 184, 142, 190, 139, 187, 129, 177, 116, 164)(109, 157, 114, 162, 126, 174, 137, 185, 143, 191, 140, 188, 132, 180, 120, 168)(115, 163, 127, 175, 138, 186, 144, 192, 141, 189, 133, 181, 121, 169, 128, 176)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 126)(20, 128)(21, 129)(22, 130)(23, 107)(24, 108)(25, 109)(26, 134)(27, 136)(28, 110)(29, 138)(30, 112)(31, 137)(32, 114)(33, 121)(34, 139)(35, 118)(36, 119)(37, 120)(38, 142)(39, 122)(40, 144)(41, 124)(42, 143)(43, 133)(44, 131)(45, 132)(46, 141)(47, 135)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.1105
Graph:: simple bipartite
	v = 54 e = 96 f = 6
	degree seq :: [ 2^48, 16^6 ]

E19.1107 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-6, Y3^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 24, 72, 13, 61, 18, 66, 30, 78, 39, 87, 46, 94, 43, 91, 33, 81, 42, 90, 48, 96, 45, 93, 35, 83, 20, 68, 9, 57, 17, 65, 29, 77, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 28, 76, 38, 86, 37, 85, 25, 73, 32, 80, 41, 89, 47, 95, 44, 92, 34, 82, 19, 67, 31, 79, 40, 88, 36, 84, 21, 69, 10, 58)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 129)(20, 130)(21, 131)(22, 132)(23, 107)(24, 108)(25, 109)(26, 119)(27, 118)(28, 110)(29, 136)(30, 112)(31, 138)(32, 114)(33, 121)(34, 139)(35, 140)(36, 141)(37, 120)(38, 122)(39, 124)(40, 144)(41, 126)(42, 128)(43, 133)(44, 142)(45, 143)(46, 134)(47, 135)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E19.1104
Graph:: simple bipartite
	v = 50 e = 96 f = 10
	degree seq :: [ 2^48, 48^2 ]

E19.1108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, Y3 * Y2^-1 * Y1 * Y2, Y3 * Y2 * Y1 * Y2^-1, (R * Y1)^2, Y2^-2 * Y1^-1 * Y2^-4 * Y1^-1, Y3^8, Y1^8, (Y2^-1 * Y1^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 38, 86, 36, 84, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 39, 87, 37, 85, 23, 71, 12, 60)(9, 57, 17, 65, 29, 77, 40, 88, 46, 94, 45, 93, 35, 83, 20, 68)(13, 61, 18, 66, 30, 78, 41, 89, 47, 95, 43, 91, 33, 81, 24, 72)(19, 67, 31, 79, 25, 73, 32, 80, 42, 90, 48, 96, 44, 92, 34, 82)(97, 145, 99, 147, 105, 153, 115, 163, 129, 177, 119, 167, 107, 155, 117, 165, 131, 179, 140, 188, 143, 191, 135, 183, 122, 170, 134, 182, 142, 190, 138, 186, 126, 174, 112, 160, 102, 150, 111, 159, 125, 173, 121, 169, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 127, 175, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 130, 178, 139, 187, 133, 181, 118, 166, 132, 180, 141, 189, 144, 192, 137, 185, 124, 172, 110, 158, 123, 171, 136, 184, 128, 176, 114, 162, 104, 152)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 118)(12, 119)(13, 120)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 130)(20, 131)(21, 132)(22, 122)(23, 133)(24, 129)(25, 127)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 121)(33, 139)(34, 140)(35, 141)(36, 134)(37, 135)(38, 123)(39, 124)(40, 125)(41, 126)(42, 128)(43, 143)(44, 144)(45, 142)(46, 136)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 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 E19.1109
Graph:: bipartite
	v = 8 e = 96 f = 52
	degree seq :: [ 16^6, 48^2 ]

E19.1109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y3^-4 * Y1^2, (R * Y2 * Y3^-1)^2, Y1^12, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 23, 71, 31, 79, 39, 87, 36, 84, 28, 76, 20, 68, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 24, 72, 32, 80, 40, 88, 46, 94, 43, 91, 35, 83, 27, 75, 19, 67, 10, 58)(5, 53, 8, 56, 16, 64, 25, 73, 33, 81, 41, 89, 47, 95, 44, 92, 37, 85, 29, 77, 21, 69, 12, 60)(9, 57, 17, 65, 26, 74, 34, 82, 42, 90, 48, 96, 45, 93, 38, 86, 30, 78, 22, 70, 13, 61, 18, 66)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 112)(10, 114)(11, 115)(12, 100)(13, 101)(14, 120)(15, 122)(16, 102)(17, 121)(18, 104)(19, 109)(20, 123)(21, 107)(22, 108)(23, 128)(24, 130)(25, 110)(26, 129)(27, 118)(28, 131)(29, 116)(30, 117)(31, 136)(32, 138)(33, 119)(34, 137)(35, 126)(36, 139)(37, 124)(38, 125)(39, 142)(40, 144)(41, 127)(42, 143)(43, 134)(44, 132)(45, 133)(46, 141)(47, 135)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 48 ), ( 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 E19.1108
Graph:: simple bipartite
	v = 52 e = 96 f = 8
	degree seq :: [ 2^48, 24^4 ]

E19.1110 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, T2^-1 * T1^-3 * T2 * T1^-1, T2^2 * T1^-1 * T2^-2 * T1, T2^5 * T1 * T2 * T1^-1, (T2^-2 * T1^2)^12 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 43, 25, 36, 23, 41, 35, 17, 5)(2, 7, 22, 40, 33, 15, 28, 9, 27, 44, 26, 8)(4, 12, 30, 46, 34, 16, 18, 11, 31, 45, 32, 14)(6, 19, 37, 47, 42, 24, 13, 21, 39, 48, 38, 20)(49, 50, 54, 66, 84, 76, 61, 52)(51, 57, 67, 60, 71, 55, 69, 59)(53, 63, 68, 62, 73, 56, 72, 64)(58, 70, 85, 79, 89, 75, 87, 78)(65, 74, 86, 82, 91, 81, 90, 80)(77, 92, 95, 94, 83, 88, 96, 93)
	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) :: { ( 48^8 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1114
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 48 f = 2
	degree seq :: [ 8^6, 12^4 ]

E19.1111 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^3 * T1^-2 * T2, T2^-1 * T1^2 * T2 * T1^-2, (T2^-1 * T1 * T2^-1)^2, T1^-1 * T2 * T1^-3 * T2^-1 * T1^-2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, (T1, T2^-1, T1^-1) ]
Map:: non-degenerate
	R = (1, 3, 10, 20, 6, 19, 42, 35, 38, 32, 48, 25, 47, 23, 46, 24, 45, 21, 44, 34, 13, 30, 17, 5)(2, 7, 22, 40, 18, 39, 37, 16, 31, 11, 29, 15, 28, 9, 27, 43, 33, 41, 36, 14, 4, 12, 26, 8)(49, 50, 54, 66, 86, 79, 95, 76, 93, 81, 61, 52)(51, 57, 67, 89, 80, 60, 71, 55, 69, 87, 78, 59)(53, 63, 68, 91, 83, 62, 73, 56, 72, 88, 82, 64)(58, 70, 90, 85, 96, 77, 94, 75, 92, 84, 65, 74)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^12 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1115
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 12^4, 24^2 ]

E19.1112 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-3 * T1^-1, T2^3 * T1 * T2 * T1^-1, T1 * T2^-1 * T1^-2 * T2 * T1, (T2^-1, T1^-1)^2, (T1^-1 * T2^-1 * T1^-2)^2, T1^-2 * T2^2 * T1^-4 ]
Map:: non-degenerate
	R = (1, 3, 10, 25, 44, 23, 17, 5)(2, 7, 22, 15, 27, 9, 26, 8)(4, 12, 28, 16, 31, 11, 29, 14)(6, 19, 40, 24, 43, 21, 42, 20)(13, 30, 36, 35, 46, 32, 45, 34)(18, 37, 47, 41, 48, 39, 33, 38)(49, 50, 54, 66, 84, 76, 58, 70, 88, 95, 94, 79, 92, 75, 91, 96, 93, 77, 65, 74, 90, 81, 61, 52)(51, 57, 67, 87, 83, 62, 73, 56, 72, 86, 80, 60, 71, 55, 69, 85, 82, 64, 53, 63, 68, 89, 78, 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) :: { ( 24^8 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1113
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 8^6, 24^2 ]

E19.1113 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, T2^-1 * T1^-3 * T2 * T1^-1, T2^2 * T1^-1 * T2^-2 * T1, T2^5 * T1 * T2 * T1^-1, (T2^-2 * T1^2)^12 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 29, 77, 43, 91, 25, 73, 36, 84, 23, 71, 41, 89, 35, 83, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 40, 88, 33, 81, 15, 63, 28, 76, 9, 57, 27, 75, 44, 92, 26, 74, 8, 56)(4, 52, 12, 60, 30, 78, 46, 94, 34, 82, 16, 64, 18, 66, 11, 59, 31, 79, 45, 93, 32, 80, 14, 62)(6, 54, 19, 67, 37, 85, 47, 95, 42, 90, 24, 72, 13, 61, 21, 69, 39, 87, 48, 96, 38, 86, 20, 68)
	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, 84)(19, 60)(20, 62)(21, 59)(22, 85)(23, 55)(24, 64)(25, 56)(26, 86)(27, 87)(28, 61)(29, 92)(30, 58)(31, 89)(32, 65)(33, 90)(34, 91)(35, 88)(36, 76)(37, 79)(38, 82)(39, 78)(40, 96)(41, 75)(42, 80)(43, 81)(44, 95)(45, 77)(46, 83)(47, 94)(48, 93)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1112
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.1114 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^3 * T1^-2 * T2, T2^-1 * T1^2 * T2 * T1^-2, (T2^-1 * T1 * T2^-1)^2, T1^-1 * T2 * T1^-3 * T2^-1 * T1^-2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, (T1, T2^-1, T1^-1) ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 20, 68, 6, 54, 19, 67, 42, 90, 35, 83, 38, 86, 32, 80, 48, 96, 25, 73, 47, 95, 23, 71, 46, 94, 24, 72, 45, 93, 21, 69, 44, 92, 34, 82, 13, 61, 30, 78, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 40, 88, 18, 66, 39, 87, 37, 85, 16, 64, 31, 79, 11, 59, 29, 77, 15, 63, 28, 76, 9, 57, 27, 75, 43, 91, 33, 81, 41, 89, 36, 84, 14, 62, 4, 52, 12, 60, 26, 74, 8, 56)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 69)(8, 72)(9, 67)(10, 70)(11, 51)(12, 71)(13, 52)(14, 73)(15, 68)(16, 53)(17, 74)(18, 86)(19, 89)(20, 91)(21, 87)(22, 90)(23, 55)(24, 88)(25, 56)(26, 58)(27, 92)(28, 93)(29, 94)(30, 59)(31, 95)(32, 60)(33, 61)(34, 64)(35, 62)(36, 65)(37, 96)(38, 79)(39, 78)(40, 82)(41, 80)(42, 85)(43, 83)(44, 84)(45, 81)(46, 75)(47, 76)(48, 77)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1110
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 10
	degree seq :: [ 48^2 ]

E19.1115 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-3 * T1^-1, T2^3 * T1 * T2 * T1^-1, T1 * T2^-1 * T1^-2 * T2 * T1, (T2^-1, T1^-1)^2, (T1^-1 * T2^-1 * T1^-2)^2, T1^-2 * T2^2 * T1^-4 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 25, 73, 44, 92, 23, 71, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 15, 63, 27, 75, 9, 57, 26, 74, 8, 56)(4, 52, 12, 60, 28, 76, 16, 64, 31, 79, 11, 59, 29, 77, 14, 62)(6, 54, 19, 67, 40, 88, 24, 72, 43, 91, 21, 69, 42, 90, 20, 68)(13, 61, 30, 78, 36, 84, 35, 83, 46, 94, 32, 80, 45, 93, 34, 82)(18, 66, 37, 85, 47, 95, 41, 89, 48, 96, 39, 87, 33, 81, 38, 86)
	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, 84)(19, 87)(20, 89)(21, 85)(22, 88)(23, 55)(24, 86)(25, 56)(26, 90)(27, 91)(28, 58)(29, 65)(30, 59)(31, 92)(32, 60)(33, 61)(34, 64)(35, 62)(36, 76)(37, 82)(38, 80)(39, 83)(40, 95)(41, 78)(42, 81)(43, 96)(44, 75)(45, 77)(46, 79)(47, 94)(48, 93)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1111
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 6
	degree seq :: [ 16^6 ]

E19.1116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2, Y2^-1 * Y3^2 * Y2 * Y3^-2, Y2^2 * Y3 * Y2^-2 * Y3^-1, Y2^-3 * Y1 * Y2^-3 * Y1^-1, Y2^-2 * Y3 * Y2^-1 * Y3^-1 * Y2^-3, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 36, 84, 28, 76, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 12, 60, 23, 71, 7, 55, 21, 69, 11, 59)(5, 53, 15, 63, 20, 68, 14, 62, 25, 73, 8, 56, 24, 72, 16, 64)(10, 58, 22, 70, 37, 85, 31, 79, 41, 89, 27, 75, 39, 87, 30, 78)(17, 65, 26, 74, 38, 86, 34, 82, 43, 91, 33, 81, 42, 90, 32, 80)(29, 77, 44, 92, 47, 95, 46, 94, 35, 83, 40, 88, 48, 96, 45, 93)(97, 145, 99, 147, 106, 154, 125, 173, 139, 187, 121, 169, 132, 180, 119, 167, 137, 185, 131, 179, 113, 161, 101, 149)(98, 146, 103, 151, 118, 166, 136, 184, 129, 177, 111, 159, 124, 172, 105, 153, 123, 171, 140, 188, 122, 170, 104, 152)(100, 148, 108, 156, 126, 174, 142, 190, 130, 178, 112, 160, 114, 162, 107, 155, 127, 175, 141, 189, 128, 176, 110, 158)(102, 150, 115, 163, 133, 181, 143, 191, 138, 186, 120, 168, 109, 157, 117, 165, 135, 183, 144, 192, 134, 182, 116, 164)
	L = (1, 100)(2, 97)(3, 107)(4, 109)(5, 112)(6, 98)(7, 119)(8, 121)(9, 99)(10, 126)(11, 117)(12, 115)(13, 124)(14, 116)(15, 101)(16, 120)(17, 128)(18, 102)(19, 105)(20, 111)(21, 103)(22, 106)(23, 108)(24, 104)(25, 110)(26, 113)(27, 137)(28, 132)(29, 141)(30, 135)(31, 133)(32, 138)(33, 139)(34, 134)(35, 142)(36, 114)(37, 118)(38, 122)(39, 123)(40, 131)(41, 127)(42, 129)(43, 130)(44, 125)(45, 144)(46, 143)(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) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.1119
Graph:: bipartite
	v = 10 e = 96 f = 50
	degree seq :: [ 16^6, 24^4 ]

E19.1117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y2^-1 * Y1^2 * Y2, Y1^-2 * Y2^4, Y2^-2 * Y1^-1 * Y2^2 * Y1, Y1^2 * Y2 * Y1^-2 * Y2^-1, (Y2 * Y1^-1 * Y2)^2, Y2^-2 * Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 38, 86, 31, 79, 47, 95, 28, 76, 45, 93, 33, 81, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 41, 89, 32, 80, 12, 60, 23, 71, 7, 55, 21, 69, 39, 87, 30, 78, 11, 59)(5, 53, 15, 63, 20, 68, 43, 91, 35, 83, 14, 62, 25, 73, 8, 56, 24, 72, 40, 88, 34, 82, 16, 64)(10, 58, 22, 70, 42, 90, 37, 85, 48, 96, 29, 77, 46, 94, 27, 75, 44, 92, 36, 84, 17, 65, 26, 74)(97, 145, 99, 147, 106, 154, 116, 164, 102, 150, 115, 163, 138, 186, 131, 179, 134, 182, 128, 176, 144, 192, 121, 169, 143, 191, 119, 167, 142, 190, 120, 168, 141, 189, 117, 165, 140, 188, 130, 178, 109, 157, 126, 174, 113, 161, 101, 149)(98, 146, 103, 151, 118, 166, 136, 184, 114, 162, 135, 183, 133, 181, 112, 160, 127, 175, 107, 155, 125, 173, 111, 159, 124, 172, 105, 153, 123, 171, 139, 187, 129, 177, 137, 185, 132, 180, 110, 158, 100, 148, 108, 156, 122, 170, 104, 152)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 123)(10, 116)(11, 125)(12, 122)(13, 126)(14, 100)(15, 124)(16, 127)(17, 101)(18, 135)(19, 138)(20, 102)(21, 140)(22, 136)(23, 142)(24, 141)(25, 143)(26, 104)(27, 139)(28, 105)(29, 111)(30, 113)(31, 107)(32, 144)(33, 137)(34, 109)(35, 134)(36, 110)(37, 112)(38, 128)(39, 133)(40, 114)(41, 132)(42, 131)(43, 129)(44, 130)(45, 117)(46, 120)(47, 119)(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) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E19.1118
Graph:: bipartite
	v = 6 e = 96 f = 54
	degree seq :: [ 24^4, 48^2 ]

E19.1118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y3^-1 * Y2^-2 * Y3, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2^3 * Y3^-1 * Y2, Y3 * Y2^-1 * Y3^-2 * Y2 * Y3, Y3^-4 * Y2^-2 * Y3^-2, (Y3^-1 * Y1^-1)^24 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 114, 162, 132, 180, 124, 172, 109, 157, 100, 148)(99, 147, 105, 153, 115, 163, 108, 156, 119, 167, 103, 151, 117, 165, 107, 155)(101, 149, 111, 159, 116, 164, 110, 158, 121, 169, 104, 152, 120, 168, 112, 160)(106, 154, 118, 166, 133, 181, 127, 175, 137, 185, 123, 171, 135, 183, 126, 174)(113, 161, 122, 170, 134, 182, 130, 178, 139, 187, 129, 177, 138, 186, 128, 176)(125, 173, 141, 189, 131, 179, 142, 190, 143, 191, 136, 184, 144, 192, 140, 188)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 123)(10, 125)(11, 127)(12, 126)(13, 117)(14, 100)(15, 124)(16, 114)(17, 101)(18, 107)(19, 133)(20, 102)(21, 135)(22, 136)(23, 137)(24, 109)(25, 132)(26, 104)(27, 141)(28, 105)(29, 138)(30, 142)(31, 140)(32, 110)(33, 111)(34, 112)(35, 113)(36, 119)(37, 131)(38, 116)(39, 144)(40, 128)(41, 143)(42, 120)(43, 121)(44, 122)(45, 130)(46, 129)(47, 134)(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) :: { ( 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.1117
Graph:: simple bipartite
	v = 54 e = 96 f = 6
	degree seq :: [ 2^48, 16^6 ]

E19.1119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-2 * Y1 * Y3^2, Y1^-1 * Y3^3 * Y1 * Y3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-3 * Y1^-1, Y3 * Y1^-2 * Y3^-1 * Y1^2, Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-3, (Y3 * Y2^-1)^8, Y3 * Y1^18 * Y3 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 36, 84, 28, 76, 10, 58, 22, 70, 40, 88, 47, 95, 46, 94, 31, 79, 44, 92, 27, 75, 43, 91, 48, 96, 45, 93, 29, 77, 17, 65, 26, 74, 42, 90, 33, 81, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 39, 87, 35, 83, 14, 62, 25, 73, 8, 56, 24, 72, 38, 86, 32, 80, 12, 60, 23, 71, 7, 55, 21, 69, 37, 85, 34, 82, 16, 64, 5, 53, 15, 63, 20, 68, 41, 89, 30, 78, 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, 122)(10, 121)(11, 125)(12, 124)(13, 126)(14, 100)(15, 123)(16, 127)(17, 101)(18, 133)(19, 136)(20, 102)(21, 138)(22, 111)(23, 113)(24, 139)(25, 140)(26, 104)(27, 105)(28, 112)(29, 110)(30, 132)(31, 107)(32, 141)(33, 134)(34, 109)(35, 142)(36, 131)(37, 143)(38, 114)(39, 129)(40, 120)(41, 144)(42, 116)(43, 117)(44, 119)(45, 130)(46, 128)(47, 137)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E19.1116
Graph:: simple bipartite
	v = 50 e = 96 f = 10
	degree seq :: [ 2^48, 48^2 ]

E19.1120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^2 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y3^-1, Y1 * Y3^-1 * Y2 * Y1^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y2^-1 * Y1^-2 * Y2, Y3 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2^-1 * Y1 * Y3^-1 * Y2^-5, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y3 * Y2^-3 * Y1^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y1^8, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 36, 84, 28, 76, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 12, 60, 23, 71, 7, 55, 21, 69, 11, 59)(5, 53, 15, 63, 20, 68, 14, 62, 25, 73, 8, 56, 24, 72, 16, 64)(10, 58, 22, 70, 37, 85, 31, 79, 41, 89, 27, 75, 39, 87, 30, 78)(17, 65, 26, 74, 38, 86, 34, 82, 43, 91, 33, 81, 42, 90, 32, 80)(29, 77, 45, 93, 47, 95, 44, 92, 48, 96, 40, 88, 35, 83, 46, 94)(97, 145, 99, 147, 106, 154, 125, 173, 134, 182, 116, 164, 102, 150, 115, 163, 133, 181, 143, 191, 139, 187, 121, 169, 132, 180, 119, 167, 137, 185, 144, 192, 138, 186, 120, 168, 109, 157, 117, 165, 135, 183, 131, 179, 113, 161, 101, 149)(98, 146, 103, 151, 118, 166, 136, 184, 130, 178, 112, 160, 114, 162, 107, 155, 127, 175, 142, 190, 129, 177, 111, 159, 124, 172, 105, 153, 123, 171, 141, 189, 128, 176, 110, 158, 100, 148, 108, 156, 126, 174, 140, 188, 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, 117)(12, 115)(13, 124)(14, 116)(15, 101)(16, 120)(17, 128)(18, 102)(19, 105)(20, 111)(21, 103)(22, 106)(23, 108)(24, 104)(25, 110)(26, 113)(27, 137)(28, 132)(29, 142)(30, 135)(31, 133)(32, 138)(33, 139)(34, 134)(35, 136)(36, 114)(37, 118)(38, 122)(39, 123)(40, 144)(41, 127)(42, 129)(43, 130)(44, 143)(45, 125)(46, 131)(47, 141)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 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 E19.1121
Graph:: bipartite
	v = 8 e = 96 f = 52
	degree seq :: [ 16^6, 48^2 ]

E19.1121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, Y3^4 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-1 * Y1^2 * Y3, Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-4, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 38, 86, 31, 79, 47, 95, 28, 76, 45, 93, 33, 81, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 41, 89, 32, 80, 12, 60, 23, 71, 7, 55, 21, 69, 39, 87, 30, 78, 11, 59)(5, 53, 15, 63, 20, 68, 43, 91, 35, 83, 14, 62, 25, 73, 8, 56, 24, 72, 40, 88, 34, 82, 16, 64)(10, 58, 22, 70, 42, 90, 37, 85, 48, 96, 29, 77, 46, 94, 27, 75, 44, 92, 36, 84, 17, 65, 26, 74)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 123)(10, 116)(11, 125)(12, 122)(13, 126)(14, 100)(15, 124)(16, 127)(17, 101)(18, 135)(19, 138)(20, 102)(21, 140)(22, 136)(23, 142)(24, 141)(25, 143)(26, 104)(27, 139)(28, 105)(29, 111)(30, 113)(31, 107)(32, 144)(33, 137)(34, 109)(35, 134)(36, 110)(37, 112)(38, 128)(39, 133)(40, 114)(41, 132)(42, 131)(43, 129)(44, 130)(45, 117)(46, 120)(47, 119)(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) :: { ( 16, 48 ), ( 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 E19.1120
Graph:: simple bipartite
	v = 52 e = 96 f = 8
	degree seq :: [ 2^48, 24^4 ]

E19.1122 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 24, 24})
Quotient :: edge
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-6, T1^2 * T2^-8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 40, 28, 16, 6, 15, 27, 39, 48, 44, 34, 22, 11, 21, 33, 43, 36, 24, 13, 5)(2, 7, 17, 29, 41, 47, 38, 26, 14, 25, 37, 46, 45, 35, 23, 12, 4, 10, 20, 32, 42, 30, 18, 8)(49, 50, 54, 62, 59, 52)(51, 55, 63, 73, 69, 58)(53, 56, 64, 74, 70, 60)(57, 65, 75, 85, 81, 68)(61, 66, 76, 86, 82, 71)(67, 77, 87, 94, 91, 80)(72, 78, 88, 95, 92, 83)(79, 89, 96, 93, 84, 90)
	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 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1123
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 48 f = 2
	degree seq :: [ 6^8, 24^2 ]

E19.1123 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 24, 24})
Quotient :: loop
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-6, T1^2 * T2^-8 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 31, 79, 40, 88, 28, 76, 16, 64, 6, 54, 15, 63, 27, 75, 39, 87, 48, 96, 44, 92, 34, 82, 22, 70, 11, 59, 21, 69, 33, 81, 43, 91, 36, 84, 24, 72, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 29, 77, 41, 89, 47, 95, 38, 86, 26, 74, 14, 62, 25, 73, 37, 85, 46, 94, 45, 93, 35, 83, 23, 71, 12, 60, 4, 52, 10, 58, 20, 68, 32, 80, 42, 90, 30, 78, 18, 66, 8, 56)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 59)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 57)(21, 58)(22, 60)(23, 61)(24, 78)(25, 69)(26, 70)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 67)(33, 68)(34, 71)(35, 72)(36, 90)(37, 81)(38, 82)(39, 94)(40, 95)(41, 96)(42, 79)(43, 80)(44, 83)(45, 84)(46, 91)(47, 92)(48, 93)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1122
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 10
	degree seq :: [ 48^2 ]

E19.1124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 24, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), (R * Y1)^2, Y1^6, Y2^2 * Y3 * Y2^6 * Y1^-1, (Y3^-1 * Y2^-2 * Y1)^4, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 25, 73, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 26, 74, 22, 70, 12, 60)(9, 57, 17, 65, 27, 75, 37, 85, 33, 81, 20, 68)(13, 61, 18, 66, 28, 76, 38, 86, 34, 82, 23, 71)(19, 67, 29, 77, 39, 87, 46, 94, 43, 91, 32, 80)(24, 72, 30, 78, 40, 88, 47, 95, 44, 92, 35, 83)(31, 79, 41, 89, 48, 96, 45, 93, 36, 84, 42, 90)(97, 145, 99, 147, 105, 153, 115, 163, 127, 175, 136, 184, 124, 172, 112, 160, 102, 150, 111, 159, 123, 171, 135, 183, 144, 192, 140, 188, 130, 178, 118, 166, 107, 155, 117, 165, 129, 177, 139, 187, 132, 180, 120, 168, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 125, 173, 137, 185, 143, 191, 134, 182, 122, 170, 110, 158, 121, 169, 133, 181, 142, 190, 141, 189, 131, 179, 119, 167, 108, 156, 100, 148, 106, 154, 116, 164, 128, 176, 138, 186, 126, 174, 114, 162, 104, 152)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 110)(12, 118)(13, 119)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 128)(20, 129)(21, 121)(22, 122)(23, 130)(24, 131)(25, 111)(26, 112)(27, 113)(28, 114)(29, 115)(30, 120)(31, 138)(32, 139)(33, 133)(34, 134)(35, 140)(36, 141)(37, 123)(38, 124)(39, 125)(40, 126)(41, 127)(42, 132)(43, 142)(44, 143)(45, 144)(46, 135)(47, 136)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.1125
Graph:: bipartite
	v = 10 e = 96 f = 50
	degree seq :: [ 12^8, 48^2 ]

E19.1125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 24, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), Y3^-6, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-8, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 25, 73, 37, 85, 32, 80, 20, 68, 9, 57, 17, 65, 28, 76, 40, 88, 47, 95, 45, 93, 36, 84, 24, 72, 13, 61, 18, 66, 29, 77, 41, 89, 34, 82, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 26, 74, 38, 86, 46, 94, 43, 91, 31, 79, 19, 67, 30, 78, 42, 90, 48, 96, 44, 92, 35, 83, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 27, 75, 39, 87, 33, 81, 21, 69, 10, 58)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 122)(15, 124)(16, 102)(17, 126)(18, 104)(19, 109)(20, 127)(21, 128)(22, 129)(23, 107)(24, 108)(25, 134)(26, 136)(27, 110)(28, 138)(29, 112)(30, 114)(31, 120)(32, 139)(33, 133)(34, 135)(35, 118)(36, 119)(37, 142)(38, 143)(39, 121)(40, 144)(41, 123)(42, 125)(43, 132)(44, 130)(45, 131)(46, 141)(47, 140)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E19.1124
Graph:: simple bipartite
	v = 50 e = 96 f = 10
	degree seq :: [ 2^48, 48^2 ]

E19.1126 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 24, 24})
Quotient :: edge
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-3 * T1^-1 * T2^-1, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, T2^2 * T1 * T2^-2 * T1^-1, T1^6, T1^-1 * T2 * T1^-1 * T2^3 * T1^-2, T2^2 * T1^-1 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 47, 34, 42, 20, 6, 19, 40, 25, 45, 23, 44, 35, 13, 32, 46, 24, 43, 21, 17, 5)(2, 7, 22, 16, 33, 11, 31, 38, 18, 37, 36, 15, 28, 9, 27, 14, 4, 12, 30, 41, 48, 39, 26, 8)(49, 50, 54, 66, 61, 52)(51, 57, 67, 87, 80, 59)(53, 63, 68, 89, 83, 64)(55, 69, 85, 82, 60, 71)(56, 72, 86, 77, 62, 73)(58, 70, 88, 84, 94, 78)(65, 74, 90, 79, 92, 75)(76, 91, 96, 95, 81, 93)
	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 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1127
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 48 f = 2
	degree seq :: [ 6^8, 24^2 ]

E19.1127 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 24, 24})
Quotient :: loop
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-3 * T1^-1 * T2^-1, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, T2^2 * T1 * T2^-2 * T1^-1, T1^6, T1^-1 * T2 * T1^-1 * T2^3 * T1^-2, T2^2 * T1^-1 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 29, 77, 47, 95, 34, 82, 42, 90, 20, 68, 6, 54, 19, 67, 40, 88, 25, 73, 45, 93, 23, 71, 44, 92, 35, 83, 13, 61, 32, 80, 46, 94, 24, 72, 43, 91, 21, 69, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 16, 64, 33, 81, 11, 59, 31, 79, 38, 86, 18, 66, 37, 85, 36, 84, 15, 63, 28, 76, 9, 57, 27, 75, 14, 62, 4, 52, 12, 60, 30, 78, 41, 89, 48, 96, 39, 87, 26, 74, 8, 56)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 69)(8, 72)(9, 67)(10, 70)(11, 51)(12, 71)(13, 52)(14, 73)(15, 68)(16, 53)(17, 74)(18, 61)(19, 87)(20, 89)(21, 85)(22, 88)(23, 55)(24, 86)(25, 56)(26, 90)(27, 65)(28, 91)(29, 62)(30, 58)(31, 92)(32, 59)(33, 93)(34, 60)(35, 64)(36, 94)(37, 82)(38, 77)(39, 80)(40, 84)(41, 83)(42, 79)(43, 96)(44, 75)(45, 76)(46, 78)(47, 81)(48, 95)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1126
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 10
	degree seq :: [ 48^2 ]

E19.1128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 24, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y2 * Y1 * Y2 * Y1 * Y2^2, Y1^6, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^2 * Y2^3 * Y1^-1 * Y2 * Y1^-1, Y2^3 * Y3 * Y2 * Y1^-3, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y2^-1, Y1^-1)^2, Y1^-2 * Y3 * Y2^2 * Y1^-3 * Y2^-2 ]
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, 41, 89, 35, 83, 16, 64)(7, 55, 21, 69, 37, 85, 34, 82, 12, 60, 23, 71)(8, 56, 24, 72, 38, 86, 29, 77, 14, 62, 25, 73)(10, 58, 22, 70, 40, 88, 36, 84, 46, 94, 30, 78)(17, 65, 26, 74, 42, 90, 31, 79, 44, 92, 27, 75)(28, 76, 43, 91, 48, 96, 47, 95, 33, 81, 45, 93)(97, 145, 99, 147, 106, 154, 125, 173, 143, 191, 130, 178, 138, 186, 116, 164, 102, 150, 115, 163, 136, 184, 121, 169, 141, 189, 119, 167, 140, 188, 131, 179, 109, 157, 128, 176, 142, 190, 120, 168, 139, 187, 117, 165, 113, 161, 101, 149)(98, 146, 103, 151, 118, 166, 112, 160, 129, 177, 107, 155, 127, 175, 134, 182, 114, 162, 133, 181, 132, 180, 111, 159, 124, 172, 105, 153, 123, 171, 110, 158, 100, 148, 108, 156, 126, 174, 137, 185, 144, 192, 135, 183, 122, 170, 104, 152)
	L = (1, 100)(2, 97)(3, 107)(4, 109)(5, 112)(6, 98)(7, 119)(8, 121)(9, 99)(10, 126)(11, 128)(12, 130)(13, 114)(14, 125)(15, 101)(16, 131)(17, 123)(18, 102)(19, 105)(20, 111)(21, 103)(22, 106)(23, 108)(24, 104)(25, 110)(26, 113)(27, 140)(28, 141)(29, 134)(30, 142)(31, 138)(32, 135)(33, 143)(34, 133)(35, 137)(36, 136)(37, 117)(38, 120)(39, 115)(40, 118)(41, 116)(42, 122)(43, 124)(44, 127)(45, 129)(46, 132)(47, 144)(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, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.1129
Graph:: bipartite
	v = 10 e = 96 f = 50
	degree seq :: [ 12^8, 48^2 ]

E19.1129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 24, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3^6, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^-3 * Y3^-1, Y1^-1 * Y3^-2 * Y1 * Y3^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y1^3 * Y3^-1 * Y1 * Y3^-3, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 37, 85, 36, 84, 46, 94, 30, 78, 10, 58, 22, 70, 39, 87, 33, 81, 45, 93, 28, 76, 42, 90, 35, 83, 17, 65, 26, 74, 41, 89, 31, 79, 44, 92, 27, 75, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 14, 62, 25, 73, 8, 56, 24, 72, 38, 86, 29, 77, 47, 95, 34, 82, 12, 60, 23, 71, 7, 55, 21, 69, 16, 64, 5, 53, 15, 63, 20, 68, 40, 88, 48, 96, 43, 91, 32, 80, 11, 59)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 123)(10, 125)(11, 127)(12, 126)(13, 128)(14, 100)(15, 124)(16, 129)(17, 101)(18, 112)(19, 135)(20, 102)(21, 109)(22, 139)(23, 140)(24, 138)(25, 141)(26, 104)(27, 143)(28, 105)(29, 113)(30, 136)(31, 134)(32, 142)(33, 107)(34, 137)(35, 110)(36, 111)(37, 121)(38, 114)(39, 130)(40, 131)(41, 116)(42, 117)(43, 122)(44, 144)(45, 119)(46, 120)(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) :: { ( 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 E19.1128
Graph:: simple bipartite
	v = 50 e = 96 f = 10
	degree seq :: [ 2^48, 48^2 ]

E19.1130 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 16, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6, T1^3 * T2^-8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 43, 38, 26, 14, 25, 37, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 46, 34, 22, 11, 21, 33, 45, 42, 30, 18, 8)(4, 10, 20, 32, 44, 40, 28, 16, 6, 15, 27, 39, 47, 35, 23, 12)(49, 50, 54, 62, 59, 52)(51, 55, 63, 73, 69, 58)(53, 56, 64, 74, 70, 60)(57, 65, 75, 85, 81, 68)(61, 66, 76, 86, 82, 71)(67, 77, 87, 96, 93, 80)(72, 78, 88, 91, 94, 83)(79, 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) :: { ( 96^6 ), ( 96^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1134
Transitivity :: ET+
Graph:: bipartite
	v = 11 e = 48 f = 1
	degree seq :: [ 6^8, 16^3 ]

E19.1131 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 16, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-2 * T2 * T1^-1 * T2^2 * T1^-2, T2 * T1 * T2^8, (T1^-1 * T2^-1)^6 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 43, 36, 24, 12, 4, 10, 20, 26, 38, 46, 45, 35, 23, 11, 21, 28, 14, 27, 39, 47, 44, 34, 22, 30, 16, 6, 15, 29, 40, 48, 42, 32, 18, 8, 2, 7, 17, 31, 41, 37, 25, 13, 5)(49, 50, 54, 62, 74, 67, 79, 88, 95, 93, 84, 73, 80, 70, 59, 52)(51, 55, 63, 75, 86, 81, 89, 96, 92, 83, 72, 61, 66, 78, 69, 58)(53, 56, 64, 76, 68, 57, 65, 77, 87, 94, 91, 85, 90, 82, 71, 60)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^16 ), ( 12^48 ) }
Outer automorphisms :: reflexible
Dual of E19.1135
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 16^3, 48 ]

E19.1132 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 16, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^6, T1^8 * T2^-1, (T1^-1 * T2^-1)^16 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 13, 5)(2, 7, 17, 30, 18, 8)(4, 10, 20, 31, 24, 12)(6, 15, 28, 40, 29, 16)(11, 21, 32, 41, 36, 23)(14, 26, 38, 46, 39, 27)(22, 33, 42, 47, 44, 35)(25, 37, 45, 48, 43, 34)(49, 50, 54, 62, 73, 81, 69, 58, 51, 55, 63, 74, 85, 90, 80, 68, 57, 65, 76, 86, 93, 95, 89, 79, 67, 78, 88, 94, 96, 92, 84, 72, 61, 66, 77, 87, 91, 83, 71, 60, 53, 56, 64, 75, 82, 70, 59, 52)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 32^6 ), ( 32^48 ) }
Outer automorphisms :: reflexible
Dual of E19.1133
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 48 f = 3
	degree seq :: [ 6^8, 48 ]

E19.1133 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 16, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6, T1^3 * T2^-8 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 31, 79, 43, 91, 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, 21, 69, 33, 81, 45, 93, 42, 90, 30, 78, 18, 66, 8, 56)(4, 52, 10, 58, 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, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 59)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 57)(21, 58)(22, 60)(23, 61)(24, 78)(25, 69)(26, 70)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 67)(33, 68)(34, 71)(35, 72)(36, 90)(37, 81)(38, 82)(39, 96)(40, 91)(41, 95)(42, 92)(43, 94)(44, 79)(45, 80)(46, 83)(47, 84)(48, 93)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.1132
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 48 f = 9
	degree seq :: [ 32^3 ]

E19.1134 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 16, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-2 * T2 * T1^-1 * T2^2 * T1^-2, T2 * T1 * T2^8, (T1^-1 * T2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 33, 81, 43, 91, 36, 84, 24, 72, 12, 60, 4, 52, 10, 58, 20, 68, 26, 74, 38, 86, 46, 94, 45, 93, 35, 83, 23, 71, 11, 59, 21, 69, 28, 76, 14, 62, 27, 75, 39, 87, 47, 95, 44, 92, 34, 82, 22, 70, 30, 78, 16, 64, 6, 54, 15, 63, 29, 77, 40, 88, 48, 96, 42, 90, 32, 80, 18, 66, 8, 56, 2, 50, 7, 55, 17, 65, 31, 79, 41, 89, 37, 85, 25, 73, 13, 61, 5, 53)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 80)(26, 67)(27, 86)(28, 68)(29, 87)(30, 69)(31, 88)(32, 70)(33, 89)(34, 71)(35, 72)(36, 73)(37, 90)(38, 81)(39, 94)(40, 95)(41, 96)(42, 82)(43, 85)(44, 83)(45, 84)(46, 91)(47, 93)(48, 92)
	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, 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 E19.1130
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 48 f = 11
	degree seq :: [ 96 ]

E19.1135 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 16, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^6, T1^8 * T2^-1, (T1^-1 * T2^-1)^16 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 30, 78, 18, 66, 8, 56)(4, 52, 10, 58, 20, 68, 31, 79, 24, 72, 12, 60)(6, 54, 15, 63, 28, 76, 40, 88, 29, 77, 16, 64)(11, 59, 21, 69, 32, 80, 41, 89, 36, 84, 23, 71)(14, 62, 26, 74, 38, 86, 46, 94, 39, 87, 27, 75)(22, 70, 33, 81, 42, 90, 47, 95, 44, 92, 35, 83)(25, 73, 37, 85, 45, 93, 48, 96, 43, 91, 34, 82)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 73)(15, 74)(16, 75)(17, 76)(18, 77)(19, 78)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 81)(26, 85)(27, 82)(28, 86)(29, 87)(30, 88)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)(37, 90)(38, 93)(39, 91)(40, 94)(41, 79)(42, 80)(43, 83)(44, 84)(45, 95)(46, 96)(47, 89)(48, 92)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.1131
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 12^8 ]

E19.1136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y2, Y1^-1), (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y3^-2 * Y1^4, Y2^-2 * Y1^4 * Y2^2 * Y1^2, Y3^-2 * Y2^-3 * Y1^-2 * Y2^3, Y2^5 * Y1 * Y2^2 * Y1^2 * Y2, Y2^4 * Y1^-2 * Y2^-2 * Y1^-3 * Y2^-2 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 25, 73, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 26, 74, 22, 70, 12, 60)(9, 57, 17, 65, 27, 75, 37, 85, 33, 81, 20, 68)(13, 61, 18, 66, 28, 76, 38, 86, 34, 82, 23, 71)(19, 67, 29, 77, 39, 87, 48, 96, 45, 93, 32, 80)(24, 72, 30, 78, 40, 88, 43, 91, 46, 94, 35, 83)(31, 79, 41, 89, 47, 95, 36, 84, 42, 90, 44, 92)(97, 145, 99, 147, 105, 153, 115, 163, 127, 175, 139, 187, 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, 117, 165, 129, 177, 141, 189, 138, 186, 126, 174, 114, 162, 104, 152)(100, 148, 106, 154, 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, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 110)(12, 118)(13, 119)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 128)(20, 129)(21, 121)(22, 122)(23, 130)(24, 131)(25, 111)(26, 112)(27, 113)(28, 114)(29, 115)(30, 120)(31, 140)(32, 141)(33, 133)(34, 134)(35, 142)(36, 143)(37, 123)(38, 124)(39, 125)(40, 126)(41, 127)(42, 132)(43, 136)(44, 138)(45, 144)(46, 139)(47, 137)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 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 E19.1139
Graph:: bipartite
	v = 11 e = 96 f = 49
	degree seq :: [ 12^8, 32^3 ]

E19.1137 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y1^-2 * Y2 * Y1^-1 * Y2^2 * Y1^-2, Y2 * Y1 * Y2^8, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 19, 67, 31, 79, 40, 88, 47, 95, 45, 93, 36, 84, 25, 73, 32, 80, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 38, 86, 33, 81, 41, 89, 48, 96, 44, 92, 35, 83, 24, 72, 13, 61, 18, 66, 30, 78, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 20, 68, 9, 57, 17, 65, 29, 77, 39, 87, 46, 94, 43, 91, 37, 85, 42, 90, 34, 82, 23, 71, 12, 60)(97, 145, 99, 147, 105, 153, 115, 163, 129, 177, 139, 187, 132, 180, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 122, 170, 134, 182, 142, 190, 141, 189, 131, 179, 119, 167, 107, 155, 117, 165, 124, 172, 110, 158, 123, 171, 135, 183, 143, 191, 140, 188, 130, 178, 118, 166, 126, 174, 112, 160, 102, 150, 111, 159, 125, 173, 136, 184, 144, 192, 138, 186, 128, 176, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 127, 175, 137, 185, 133, 181, 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, 122)(21, 124)(22, 126)(23, 107)(24, 108)(25, 109)(26, 134)(27, 135)(28, 110)(29, 136)(30, 112)(31, 137)(32, 114)(33, 139)(34, 118)(35, 119)(36, 120)(37, 121)(38, 142)(39, 143)(40, 144)(41, 133)(42, 128)(43, 132)(44, 130)(45, 131)(46, 141)(47, 140)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 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 E19.1138
Graph:: bipartite
	v = 4 e = 96 f = 56
	degree seq :: [ 32^3, 96 ]

E19.1138 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^6, Y2 * Y3^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^48 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 110, 158, 107, 155, 100, 148)(99, 147, 103, 151, 111, 159, 121, 169, 117, 165, 106, 154)(101, 149, 104, 152, 112, 160, 122, 170, 118, 166, 108, 156)(105, 153, 113, 161, 123, 171, 133, 181, 129, 177, 116, 164)(109, 157, 114, 162, 124, 172, 134, 182, 130, 178, 119, 167)(115, 163, 125, 173, 135, 183, 141, 189, 139, 187, 128, 176)(120, 168, 126, 174, 136, 184, 142, 190, 140, 188, 131, 179)(127, 175, 132, 180, 137, 185, 143, 191, 144, 192, 138, 186)
	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, 121)(15, 123)(16, 102)(17, 125)(18, 104)(19, 127)(20, 128)(21, 129)(22, 107)(23, 108)(24, 109)(25, 133)(26, 110)(27, 135)(28, 112)(29, 132)(30, 114)(31, 131)(32, 138)(33, 139)(34, 118)(35, 119)(36, 120)(37, 141)(38, 122)(39, 137)(40, 124)(41, 126)(42, 140)(43, 144)(44, 130)(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) :: { ( 32, 96 ), ( 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96 ) }
Outer automorphisms :: reflexible
Dual of E19.1137
Graph:: simple bipartite
	v = 56 e = 96 f = 4
	degree seq :: [ 2^48, 12^8 ]

E19.1139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^6, Y3^-1 * Y1^8, (Y3 * Y2^-1)^6, 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 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 25, 73, 33, 81, 21, 69, 10, 58, 3, 51, 7, 55, 15, 63, 26, 74, 37, 85, 42, 90, 32, 80, 20, 68, 9, 57, 17, 65, 28, 76, 38, 86, 45, 93, 47, 95, 41, 89, 31, 79, 19, 67, 30, 78, 40, 88, 46, 94, 48, 96, 44, 92, 36, 84, 24, 72, 13, 61, 18, 66, 29, 77, 39, 87, 43, 91, 35, 83, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 27, 75, 34, 82, 22, 70, 11, 59, 4, 52)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 122)(15, 124)(16, 102)(17, 126)(18, 104)(19, 109)(20, 127)(21, 128)(22, 129)(23, 107)(24, 108)(25, 133)(26, 134)(27, 110)(28, 136)(29, 112)(30, 114)(31, 120)(32, 137)(33, 138)(34, 121)(35, 118)(36, 119)(37, 141)(38, 142)(39, 123)(40, 125)(41, 132)(42, 143)(43, 130)(44, 131)(45, 144)(46, 135)(47, 140)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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, 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, 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 E19.1136
Graph:: bipartite
	v = 49 e = 96 f = 11
	degree seq :: [ 2^48, 96 ]

E19.1140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y2)^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y1^6, Y2^-8 * Y1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 25, 73, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 26, 74, 22, 70, 12, 60)(9, 57, 17, 65, 27, 75, 37, 85, 33, 81, 20, 68)(13, 61, 18, 66, 28, 76, 38, 86, 34, 82, 23, 71)(19, 67, 29, 77, 39, 87, 45, 93, 42, 90, 32, 80)(24, 72, 30, 78, 40, 88, 46, 94, 43, 91, 35, 83)(31, 79, 41, 89, 47, 95, 48, 96, 44, 92, 36, 84)(97, 145, 99, 147, 105, 153, 115, 163, 127, 175, 126, 174, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 125, 173, 137, 185, 136, 184, 124, 172, 112, 160, 102, 150, 111, 159, 123, 171, 135, 183, 143, 191, 142, 190, 134, 182, 122, 170, 110, 158, 121, 169, 133, 181, 141, 189, 144, 192, 139, 187, 130, 178, 118, 166, 107, 155, 117, 165, 129, 177, 138, 186, 140, 188, 131, 179, 119, 167, 108, 156, 100, 148, 106, 154, 116, 164, 128, 176, 132, 180, 120, 168, 109, 157, 101, 149)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 110)(12, 118)(13, 119)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 128)(20, 129)(21, 121)(22, 122)(23, 130)(24, 131)(25, 111)(26, 112)(27, 113)(28, 114)(29, 115)(30, 120)(31, 132)(32, 138)(33, 133)(34, 134)(35, 139)(36, 140)(37, 123)(38, 124)(39, 125)(40, 126)(41, 127)(42, 141)(43, 142)(44, 144)(45, 135)(46, 136)(47, 137)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 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 E19.1141
Graph:: bipartite
	v = 9 e = 96 f = 51
	degree seq :: [ 12^8, 96 ]

E19.1141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^-3 * Y3 * Y1^-1 * Y3^2 * Y1^-1, Y3^9 * Y1, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^48 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 19, 67, 31, 79, 40, 88, 47, 95, 45, 93, 36, 84, 25, 73, 32, 80, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 38, 86, 33, 81, 41, 89, 48, 96, 44, 92, 35, 83, 24, 72, 13, 61, 18, 66, 30, 78, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 20, 68, 9, 57, 17, 65, 29, 77, 39, 87, 46, 94, 43, 91, 37, 85, 42, 90, 34, 82, 23, 71, 12, 60)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 129)(20, 122)(21, 124)(22, 126)(23, 107)(24, 108)(25, 109)(26, 134)(27, 135)(28, 110)(29, 136)(30, 112)(31, 137)(32, 114)(33, 139)(34, 118)(35, 119)(36, 120)(37, 121)(38, 142)(39, 143)(40, 144)(41, 133)(42, 128)(43, 132)(44, 130)(45, 131)(46, 141)(47, 140)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 96 ), ( 12, 96, 12, 96, 12, 96, 12, 96, 12, 96, 12, 96, 12, 96, 12, 96, 12, 96, 12, 96, 12, 96, 12, 96, 12, 96, 12, 96, 12, 96, 12, 96 ) }
Outer automorphisms :: reflexible
Dual of E19.1140
Graph:: simple bipartite
	v = 51 e = 96 f = 9
	degree seq :: [ 2^48, 32^3 ]

E19.1142 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 26, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^-13 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 51, 43, 35, 27, 19, 11, 4, 10, 18, 26, 34, 42, 50, 48, 40, 32, 24, 16, 8)(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, 104, 102)(96, 100, 101, 103)
	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 ), ( 104^26 ) }
Outer automorphisms :: reflexible
Dual of E19.1146
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 52 f = 1
	degree seq :: [ 4^13, 26^2 ]

E19.1143 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 26, 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^-4 * T2^-4, T1^7 * T2^-6, T1^5 * T2^18, T2^52, T2^62 * T1^-3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 41, 49, 48, 39, 28, 14, 27, 24, 12, 4, 10, 20, 34, 42, 50, 45, 40, 30, 16, 6, 15, 29, 23, 11, 21, 35, 43, 51, 46, 37, 32, 18, 8, 2, 7, 17, 31, 22, 36, 44, 52, 47, 38, 26, 25, 13, 5)(53, 54, 58, 66, 78, 89, 97, 101, 96, 87, 72, 61, 69, 81, 76, 65, 70, 82, 91, 99, 103, 94, 85, 74, 63, 56)(55, 59, 67, 79, 77, 84, 92, 100, 104, 95, 86, 71, 83, 75, 64, 57, 60, 68, 80, 90, 98, 102, 93, 88, 73, 62)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 8^26 ), ( 8^52 ) }
Outer automorphisms :: reflexible
Dual of E19.1147
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 52 f = 13
	degree seq :: [ 26^2, 52 ]

E19.1144 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 26, 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, (T1^-1 * T2^-1)^26 ]
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, 45, 51, 50)(53, 54, 58, 65, 73, 81, 89, 97, 94, 86, 78, 70, 62, 55, 59, 66, 74, 82, 90, 98, 103, 101, 93, 85, 77, 69, 61, 68, 76, 84, 92, 100, 104, 102, 96, 88, 80, 72, 64, 57, 60, 67, 75, 83, 91, 99, 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) :: { ( 52^4 ), ( 52^52 ) }
Outer automorphisms :: reflexible
Dual of E19.1145
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 52 f = 2
	degree seq :: [ 4^13, 52 ]

E19.1145 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 26, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^-13 * T1^2 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 17, 69, 25, 77, 33, 85, 41, 93, 49, 101, 46, 98, 38, 90, 30, 82, 22, 74, 14, 66, 6, 58, 13, 65, 21, 73, 29, 81, 37, 89, 45, 97, 52, 104, 44, 96, 36, 88, 28, 80, 20, 72, 12, 64, 5, 57)(2, 54, 7, 59, 15, 67, 23, 75, 31, 83, 39, 91, 47, 99, 51, 103, 43, 95, 35, 87, 27, 79, 19, 71, 11, 63, 4, 56, 10, 62, 18, 70, 26, 78, 34, 86, 42, 94, 50, 102, 48, 100, 40, 92, 32, 84, 24, 76, 16, 68, 8, 60)
	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, 104)(48, 101)(49, 103)(50, 93)(51, 96)(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, 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 E19.1144
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 52 f = 14
	degree seq :: [ 52^2 ]

E19.1146 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 26, 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^-4 * T2^-4, T1^7 * T2^-6, T1^5 * T2^18, T2^52, T2^62 * T1^-3 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 19, 71, 33, 85, 41, 93, 49, 101, 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, 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, 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, 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, 101)(46, 102)(47, 103)(48, 104)(49, 96)(50, 93)(51, 94)(52, 95)
	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, 4, 26, 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 E19.1142
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 52 f = 15
	degree seq :: [ 104 ]

E19.1147 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 26, 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, (T1^-1 * T2^-1)^26 ]
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, 45, 97, 51, 103, 50, 102)
	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, 94)(46, 103)(47, 95)(48, 104)(49, 93)(50, 96)(51, 101)(52, 102)
	local type(s) :: { ( 26, 52, 26, 52, 26, 52, 26, 52 ) }
Outer automorphisms :: reflexible
Dual of E19.1143
Transitivity :: ET+ VT+ AT
Graph::
	v = 13 e = 52 f = 3
	degree seq :: [ 8^13 ]

E19.1148 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 26, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y1^-1 * Y3)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y2 * Y1^3 * Y2^-1 * Y3^-1, Y2^-13 * Y1^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
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, 52, 104, 50, 102)(44, 96, 48, 100, 49, 101, 51, 103)(105, 157, 107, 159, 113, 165, 121, 173, 129, 181, 137, 189, 145, 197, 153, 205, 150, 202, 142, 194, 134, 186, 126, 178, 118, 170, 110, 162, 117, 169, 125, 177, 133, 185, 141, 193, 149, 201, 156, 208, 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, 155, 207, 147, 199, 139, 191, 131, 183, 123, 175, 115, 167, 108, 160, 114, 166, 122, 174, 130, 182, 138, 190, 146, 198, 154, 206, 152, 204, 144, 196, 136, 188, 128, 180, 120, 172, 112, 164)
	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, 155)(45, 143)(46, 144)(47, 145)(48, 148)(49, 152)(50, 156)(51, 153)(52, 151)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 104, 2, 104, 2, 104, 2, 104 ), ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104 ) }
Outer automorphisms :: reflexible
Dual of E19.1151
Graph:: bipartite
	v = 15 e = 104 f = 53
	degree seq :: [ 8^13, 52^2 ]

E19.1149 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 26, 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), Y1^4 * Y2^4, Y1^4 * Y2^4, (Y3^-1 * Y1^-1)^4, Y2^10 * Y1^-3, Y2^10 * Y1^-3 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 37, 89, 45, 97, 49, 101, 44, 96, 35, 87, 20, 72, 9, 61, 17, 69, 29, 81, 24, 76, 13, 65, 18, 70, 30, 82, 39, 91, 47, 99, 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, 52, 104, 43, 95, 34, 86, 19, 71, 31, 83, 23, 75, 12, 64, 5, 57, 8, 60, 16, 68, 28, 80, 38, 90, 46, 98, 50, 102, 41, 93, 36, 88, 21, 73, 10, 62)(105, 157, 107, 159, 113, 165, 123, 175, 137, 189, 145, 197, 153, 205, 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, 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, 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, 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, 152)(50, 149)(51, 150)(52, 151)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E19.1150
Graph:: bipartite
	v = 3 e = 104 f = 65
	degree seq :: [ 52^2, 104 ]

E19.1150 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 26, 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 154, 206)(148, 200, 152, 204, 156, 208, 153, 205)
	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, 153)(42, 154)(43, 139)(44, 140)(45, 155)(46, 142)(47, 148)(48, 144)(49, 147)(50, 156)(51, 152)(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) :: { ( 52, 104 ), ( 52, 104, 52, 104, 52, 104, 52, 104 ) }
Outer automorphisms :: reflexible
Dual of E19.1149
Graph:: simple bipartite
	v = 65 e = 104 f = 3
	degree seq :: [ 2^52, 8^13 ]

E19.1151 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 26, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y3 * Y1^-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 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 13, 65, 21, 73, 29, 81, 37, 89, 45, 97, 42, 94, 34, 86, 26, 78, 18, 70, 10, 62, 3, 55, 7, 59, 14, 66, 22, 74, 30, 82, 38, 90, 46, 98, 51, 103, 49, 101, 41, 93, 33, 85, 25, 77, 17, 69, 9, 61, 16, 68, 24, 76, 32, 84, 40, 92, 48, 100, 52, 104, 50, 102, 44, 96, 36, 88, 28, 80, 20, 72, 12, 64, 5, 57, 8, 60, 15, 67, 23, 75, 31, 83, 39, 91, 47, 99, 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, 149)(44, 139)(45, 155)(46, 156)(47, 141)(48, 143)(49, 148)(50, 147)(51, 154)(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, 52 ), ( 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52, 8, 52 ) }
Outer automorphisms :: reflexible
Dual of E19.1148
Graph:: bipartite
	v = 53 e = 104 f = 15
	degree seq :: [ 2^52, 104 ]

E19.1152 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 26, 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, Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y2^13 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
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, 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, 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, 154, 206, 147, 199, 139, 191, 131, 183, 123, 175, 115, 167, 108, 160, 114, 166, 122, 174, 130, 182, 138, 190, 146, 198, 153, 205, 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, 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, 52, 2, 52, 2, 52, 2, 52 ), ( 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E19.1153
Graph:: bipartite
	v = 14 e = 104 f = 54
	degree seq :: [ 8^13, 104 ]

E19.1153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 26, 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, Y3^-6 * Y1^7, Y1^5 * Y3^18, Y3^62 * Y1^-3, (Y3 * Y2^-1)^52 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 37, 89, 45, 97, 49, 101, 44, 96, 35, 87, 20, 72, 9, 61, 17, 69, 29, 81, 24, 76, 13, 65, 18, 70, 30, 82, 39, 91, 47, 99, 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, 52, 104, 43, 95, 34, 86, 19, 71, 31, 83, 23, 75, 12, 64, 5, 57, 8, 60, 16, 68, 28, 80, 38, 90, 46, 98, 50, 102, 41, 93, 36, 88, 21, 73, 10, 62)(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, 152)(50, 149)(51, 150)(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, 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, 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 E19.1152
Graph:: simple bipartite
	v = 54 e = 104 f = 14
	degree seq :: [ 2^52, 52^2 ]

E19.1154 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-1 * Y1^-1 * Y3 * Y2, (Y1^-1 * Y3)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y2^-1 * Y1^-1, Y3^2 * Y1 * Y2 * Y3^2, (Y1 * Y2)^3, (Y1 * Y2^-1)^3, Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 8, 62, 26, 80, 22, 76, 7, 61)(2, 56, 9, 63, 17, 71, 42, 96, 31, 85, 11, 65)(3, 57, 13, 67, 33, 87, 19, 73, 5, 59, 15, 69)(6, 60, 21, 75, 46, 100, 39, 93, 14, 68, 23, 77)(10, 64, 30, 84, 38, 92, 52, 106, 27, 81, 16, 70)(12, 66, 34, 88, 29, 83, 32, 86, 53, 107, 36, 90)(18, 72, 45, 99, 51, 105, 48, 102, 43, 97, 28, 82)(20, 74, 24, 78, 49, 103, 54, 108, 41, 95, 47, 101)(25, 79, 40, 94, 44, 98, 37, 91, 35, 89, 50, 104)(109, 110, 113)(111, 120, 122)(112, 124, 119)(114, 128, 130)(115, 123, 131)(116, 133, 135)(117, 136, 127)(118, 137, 139)(121, 145, 144)(125, 149, 151)(126, 152, 141)(129, 156, 155)(132, 158, 134)(138, 147, 142)(140, 162, 150)(143, 157, 161)(146, 159, 154)(148, 153, 160)(163, 165, 168)(164, 170, 172)(166, 171, 177)(167, 179, 180)(169, 183, 186)(173, 192, 194)(174, 195, 197)(175, 196, 185)(176, 191, 200)(178, 188, 202)(181, 207, 199)(182, 208, 205)(184, 211, 187)(189, 206, 213)(190, 204, 209)(193, 215, 203)(198, 212, 216)(201, 214, 210)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^3 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1163
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 3^36, 12^9 ]

E19.1155 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y3^-1 * Y2)^2, (Y2^-1 * Y3)^2, Y3^2 * Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, (Y2 * Y1)^3, (Y2 * Y1^-1)^3, Y2^-1 * Y3^-4 * Y1^-1, Y3^2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 4, 58, 12, 66, 34, 88, 19, 73, 7, 61)(2, 56, 9, 63, 25, 79, 23, 77, 6, 60, 11, 65)(3, 57, 13, 67, 21, 75, 47, 101, 38, 92, 15, 69)(5, 59, 18, 72, 41, 95, 32, 86, 10, 64, 20, 74)(8, 62, 26, 80, 30, 84, 39, 93, 51, 105, 28, 82)(14, 68, 37, 91, 31, 85, 54, 108, 35, 89, 16, 70)(17, 71, 24, 78, 45, 99, 52, 106, 46, 100, 43, 97)(22, 76, 49, 103, 53, 107, 44, 98, 42, 96, 36, 90)(27, 81, 50, 104, 33, 87, 40, 94, 48, 102, 29, 83)(109, 110, 113)(111, 120, 122)(112, 121, 119)(114, 129, 130)(115, 126, 132)(116, 133, 135)(117, 134, 128)(118, 138, 139)(123, 145, 147)(124, 142, 148)(125, 149, 150)(127, 153, 141)(131, 157, 137)(136, 158, 160)(140, 162, 152)(143, 156, 161)(144, 155, 151)(146, 159, 154)(163, 165, 168)(164, 170, 172)(166, 178, 177)(167, 179, 181)(169, 173, 182)(171, 191, 190)(174, 195, 197)(175, 198, 185)(176, 192, 200)(180, 206, 205)(183, 208, 204)(184, 210, 187)(186, 212, 196)(188, 199, 194)(189, 207, 213)(193, 215, 203)(201, 214, 209)(202, 211, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^3 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1165
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 3^36, 12^9 ]

E19.1156 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y1^3, R * Y1 * R * Y2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y2^-1 * Y1 * Y3^2 * Y1, Y3^2 * Y2 * Y1^-1 * Y2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y2^-1)^3, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3^6 ]
Map:: polytopal non-degenerate
	R = (1, 55, 4, 58, 18, 72, 50, 104, 29, 83, 7, 61)(2, 56, 9, 63, 14, 68, 44, 98, 39, 93, 11, 65)(3, 57, 13, 67, 10, 64, 36, 90, 47, 101, 15, 69)(5, 59, 20, 74, 32, 86, 52, 106, 23, 77, 22, 76)(6, 60, 24, 78, 41, 95, 51, 105, 19, 73, 26, 80)(8, 62, 31, 85, 21, 75, 46, 100, 54, 108, 33, 87)(12, 66, 34, 88, 25, 79, 38, 92, 53, 107, 42, 96)(16, 70, 40, 94, 28, 82, 45, 99, 35, 89, 48, 102)(17, 71, 30, 84, 27, 81, 37, 91, 43, 97, 49, 103)(109, 110, 113)(111, 120, 122)(112, 124, 119)(114, 131, 133)(115, 128, 135)(116, 138, 140)(117, 142, 130)(118, 137, 145)(121, 151, 150)(123, 152, 154)(125, 139, 136)(126, 127, 156)(129, 147, 148)(132, 141, 160)(134, 146, 143)(144, 159, 158)(149, 155, 162)(153, 161, 157)(163, 165, 168)(164, 170, 172)(166, 179, 177)(167, 181, 183)(169, 186, 190)(171, 197, 195)(173, 198, 200)(174, 202, 203)(175, 193, 188)(176, 191, 207)(178, 196, 189)(180, 185, 211)(182, 204, 213)(184, 208, 205)(187, 209, 192)(194, 201, 215)(199, 216, 210)(206, 214, 212)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^3 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1164
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 3^36, 12^9 ]

E19.1157 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, (Y1 * Y3 * Y2^-1)^2, Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, (Y2 * Y1^-1)^3, (Y3 * Y2 * Y1^-1)^2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58)(2, 56, 8, 62)(3, 57, 11, 65)(5, 59, 18, 72)(6, 60, 21, 75)(7, 61, 24, 78)(9, 63, 31, 85)(10, 64, 26, 80)(12, 66, 38, 92)(13, 67, 40, 94)(14, 68, 34, 88)(15, 69, 41, 95)(16, 70, 39, 93)(17, 71, 43, 97)(19, 73, 48, 102)(20, 74, 28, 82)(22, 76, 44, 98)(23, 77, 37, 91)(25, 79, 50, 104)(27, 81, 51, 105)(29, 83, 53, 107)(30, 84, 42, 96)(32, 86, 35, 89)(33, 87, 52, 106)(36, 90, 45, 99)(46, 100, 54, 108)(47, 101, 49, 103)(109, 110, 113)(111, 118, 120)(112, 121, 123)(114, 128, 130)(115, 131, 133)(116, 134, 136)(117, 138, 140)(119, 143, 137)(122, 144, 139)(124, 151, 152)(125, 148, 153)(126, 145, 150)(127, 149, 141)(129, 154, 158)(132, 160, 155)(135, 146, 156)(142, 159, 162)(147, 161, 157)(163, 165, 168)(164, 169, 171)(166, 176, 178)(167, 179, 181)(170, 189, 191)(172, 195, 196)(173, 198, 199)(174, 192, 201)(175, 186, 200)(177, 190, 204)(180, 208, 209)(182, 211, 207)(183, 193, 210)(184, 213, 185)(187, 203, 215)(188, 205, 212)(194, 216, 202)(197, 214, 206)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1160
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 3^36, 4^27 ]

E19.1158 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2, Y1 * Y3 * Y1 * Y2^-1 * Y1^-1 * Y3, (Y1 * Y3 * Y2^-1)^2, (Y2 * Y1^-1)^3, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, (Y1 * Y2)^3, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 4, 58)(2, 56, 8, 62)(3, 57, 11, 65)(5, 59, 18, 72)(6, 60, 21, 75)(7, 61, 24, 78)(9, 63, 31, 85)(10, 64, 34, 88)(12, 66, 38, 92)(13, 67, 25, 79)(14, 68, 40, 94)(15, 69, 32, 86)(16, 70, 43, 97)(17, 71, 37, 91)(19, 73, 42, 96)(20, 74, 41, 95)(22, 76, 48, 102)(23, 77, 52, 106)(26, 80, 46, 100)(27, 81, 39, 93)(28, 82, 33, 87)(29, 83, 54, 108)(30, 84, 44, 98)(35, 89, 49, 103)(36, 90, 50, 104)(45, 99, 51, 105)(47, 101, 53, 107)(109, 110, 113)(111, 118, 120)(112, 121, 123)(114, 128, 130)(115, 131, 133)(116, 134, 136)(117, 138, 140)(119, 144, 137)(122, 142, 139)(124, 145, 152)(125, 153, 154)(126, 146, 156)(127, 158, 141)(129, 155, 159)(132, 149, 157)(135, 160, 150)(143, 151, 162)(147, 161, 148)(163, 165, 168)(164, 169, 171)(166, 176, 178)(167, 179, 181)(170, 189, 191)(172, 195, 197)(173, 186, 199)(174, 192, 201)(175, 188, 200)(177, 203, 204)(180, 209, 211)(182, 202, 208)(183, 190, 206)(184, 205, 185)(187, 212, 215)(193, 210, 198)(194, 216, 207)(196, 214, 213)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1162
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 3^36, 4^27 ]

E19.1159 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y3, (Y2 * Y1)^3, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 4, 58)(2, 56, 8, 62)(3, 57, 11, 65)(5, 59, 14, 68)(6, 60, 13, 67)(7, 61, 20, 74)(9, 63, 22, 76)(10, 64, 26, 80)(12, 66, 28, 82)(15, 69, 32, 86)(16, 70, 33, 87)(17, 71, 30, 84)(18, 72, 31, 85)(19, 73, 39, 93)(21, 75, 40, 94)(23, 77, 42, 96)(24, 78, 43, 97)(25, 79, 45, 99)(27, 81, 46, 100)(29, 83, 47, 101)(34, 88, 51, 105)(35, 89, 49, 103)(36, 90, 52, 106)(37, 91, 48, 102)(38, 92, 50, 104)(41, 95, 53, 107)(44, 98, 54, 108)(109, 110, 113)(111, 118, 120)(112, 119, 121)(114, 125, 126)(115, 127, 129)(116, 128, 130)(117, 131, 132)(122, 140, 141)(123, 142, 143)(124, 144, 133)(134, 153, 154)(135, 146, 152)(136, 150, 155)(137, 149, 145)(138, 156, 157)(139, 158, 147)(148, 160, 161)(151, 162, 159)(163, 165, 168)(164, 169, 171)(166, 170, 176)(167, 177, 178)(172, 187, 189)(173, 188, 190)(174, 185, 191)(175, 192, 193)(179, 199, 197)(180, 200, 181)(182, 201, 202)(183, 198, 203)(184, 204, 205)(186, 206, 196)(194, 213, 211)(195, 214, 207)(208, 212, 216)(209, 215, 210)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1161
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 3^36, 4^27 ]

E19.1160 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-1 * Y1^-1 * Y3 * Y2, (Y1^-1 * Y3)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y2^-1 * Y1^-1, Y3^2 * Y1 * Y2 * Y3^2, (Y1 * Y2)^3, (Y1 * Y2^-1)^3, Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 8, 62, 116, 170, 26, 80, 134, 188, 22, 76, 130, 184, 7, 61, 115, 169)(2, 56, 110, 164, 9, 63, 117, 171, 17, 71, 125, 179, 42, 96, 150, 204, 31, 85, 139, 193, 11, 65, 119, 173)(3, 57, 111, 165, 13, 67, 121, 175, 33, 87, 141, 195, 19, 73, 127, 181, 5, 59, 113, 167, 15, 69, 123, 177)(6, 60, 114, 168, 21, 75, 129, 183, 46, 100, 154, 208, 39, 93, 147, 201, 14, 68, 122, 176, 23, 77, 131, 185)(10, 64, 118, 172, 30, 84, 138, 192, 38, 92, 146, 200, 52, 106, 160, 214, 27, 81, 135, 189, 16, 70, 124, 178)(12, 66, 120, 174, 34, 88, 142, 196, 29, 83, 137, 191, 32, 86, 140, 194, 53, 107, 161, 215, 36, 90, 144, 198)(18, 72, 126, 180, 45, 99, 153, 207, 51, 105, 159, 213, 48, 102, 156, 210, 43, 97, 151, 205, 28, 82, 136, 190)(20, 74, 128, 182, 24, 78, 132, 186, 49, 103, 157, 211, 54, 108, 162, 216, 41, 95, 149, 203, 47, 101, 155, 209)(25, 79, 133, 187, 40, 94, 148, 202, 44, 98, 152, 206, 37, 91, 145, 199, 35, 89, 143, 197, 50, 104, 158, 212)
	L = (1, 56)(2, 59)(3, 66)(4, 70)(5, 55)(6, 74)(7, 69)(8, 79)(9, 82)(10, 83)(11, 58)(12, 68)(13, 91)(14, 57)(15, 77)(16, 65)(17, 95)(18, 98)(19, 63)(20, 76)(21, 102)(22, 60)(23, 61)(24, 104)(25, 81)(26, 78)(27, 62)(28, 73)(29, 85)(30, 93)(31, 64)(32, 108)(33, 72)(34, 84)(35, 103)(36, 67)(37, 90)(38, 105)(39, 88)(40, 99)(41, 97)(42, 86)(43, 71)(44, 87)(45, 106)(46, 92)(47, 75)(48, 101)(49, 107)(50, 80)(51, 100)(52, 94)(53, 89)(54, 96)(109, 165)(110, 170)(111, 168)(112, 171)(113, 179)(114, 163)(115, 183)(116, 172)(117, 177)(118, 164)(119, 192)(120, 195)(121, 196)(122, 191)(123, 166)(124, 188)(125, 180)(126, 167)(127, 207)(128, 208)(129, 186)(130, 211)(131, 175)(132, 169)(133, 184)(134, 202)(135, 206)(136, 204)(137, 200)(138, 194)(139, 215)(140, 173)(141, 197)(142, 185)(143, 174)(144, 212)(145, 181)(146, 176)(147, 214)(148, 178)(149, 193)(150, 209)(151, 182)(152, 213)(153, 199)(154, 205)(155, 190)(156, 201)(157, 187)(158, 216)(159, 189)(160, 210)(161, 203)(162, 198)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.1157
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 63
	degree seq :: [ 24^9 ]

E19.1161 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y3^-1 * Y2)^2, (Y2^-1 * Y3)^2, Y3^2 * Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, (Y2 * Y1)^3, (Y2 * Y1^-1)^3, Y2^-1 * Y3^-4 * Y1^-1, Y3^2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 34, 88, 142, 196, 19, 73, 127, 181, 7, 61, 115, 169)(2, 56, 110, 164, 9, 63, 117, 171, 25, 79, 133, 187, 23, 77, 131, 185, 6, 60, 114, 168, 11, 65, 119, 173)(3, 57, 111, 165, 13, 67, 121, 175, 21, 75, 129, 183, 47, 101, 155, 209, 38, 92, 146, 200, 15, 69, 123, 177)(5, 59, 113, 167, 18, 72, 126, 180, 41, 95, 149, 203, 32, 86, 140, 194, 10, 64, 118, 172, 20, 74, 128, 182)(8, 62, 116, 170, 26, 80, 134, 188, 30, 84, 138, 192, 39, 93, 147, 201, 51, 105, 159, 213, 28, 82, 136, 190)(14, 68, 122, 176, 37, 91, 145, 199, 31, 85, 139, 193, 54, 108, 162, 216, 35, 89, 143, 197, 16, 70, 124, 178)(17, 71, 125, 179, 24, 78, 132, 186, 45, 99, 153, 207, 52, 106, 160, 214, 46, 100, 154, 208, 43, 97, 151, 205)(22, 76, 130, 184, 49, 103, 157, 211, 53, 107, 161, 215, 44, 98, 152, 206, 42, 96, 150, 204, 36, 90, 144, 198)(27, 81, 135, 189, 50, 104, 158, 212, 33, 87, 141, 195, 40, 94, 148, 202, 48, 102, 156, 210, 29, 83, 137, 191)
	L = (1, 56)(2, 59)(3, 66)(4, 67)(5, 55)(6, 75)(7, 72)(8, 79)(9, 80)(10, 84)(11, 58)(12, 68)(13, 65)(14, 57)(15, 91)(16, 88)(17, 95)(18, 78)(19, 99)(20, 63)(21, 76)(22, 60)(23, 103)(24, 61)(25, 81)(26, 74)(27, 62)(28, 104)(29, 77)(30, 85)(31, 64)(32, 108)(33, 73)(34, 94)(35, 102)(36, 101)(37, 93)(38, 105)(39, 69)(40, 70)(41, 96)(42, 71)(43, 90)(44, 86)(45, 87)(46, 92)(47, 97)(48, 107)(49, 83)(50, 106)(51, 100)(52, 82)(53, 89)(54, 98)(109, 165)(110, 170)(111, 168)(112, 178)(113, 179)(114, 163)(115, 173)(116, 172)(117, 191)(118, 164)(119, 182)(120, 195)(121, 198)(122, 192)(123, 166)(124, 177)(125, 181)(126, 206)(127, 167)(128, 169)(129, 208)(130, 210)(131, 175)(132, 212)(133, 184)(134, 199)(135, 207)(136, 171)(137, 190)(138, 200)(139, 215)(140, 188)(141, 197)(142, 186)(143, 174)(144, 185)(145, 194)(146, 176)(147, 214)(148, 211)(149, 193)(150, 183)(151, 180)(152, 205)(153, 213)(154, 204)(155, 201)(156, 187)(157, 216)(158, 196)(159, 189)(160, 209)(161, 203)(162, 202)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.1159
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 63
	degree seq :: [ 24^9 ]

E19.1162 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y1^3, R * Y1 * R * Y2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y2^-1 * Y1 * Y3^2 * Y1, Y3^2 * Y2 * Y1^-1 * Y2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y2^-1)^3, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3^6 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 18, 72, 126, 180, 50, 104, 158, 212, 29, 83, 137, 191, 7, 61, 115, 169)(2, 56, 110, 164, 9, 63, 117, 171, 14, 68, 122, 176, 44, 98, 152, 206, 39, 93, 147, 201, 11, 65, 119, 173)(3, 57, 111, 165, 13, 67, 121, 175, 10, 64, 118, 172, 36, 90, 144, 198, 47, 101, 155, 209, 15, 69, 123, 177)(5, 59, 113, 167, 20, 74, 128, 182, 32, 86, 140, 194, 52, 106, 160, 214, 23, 77, 131, 185, 22, 76, 130, 184)(6, 60, 114, 168, 24, 78, 132, 186, 41, 95, 149, 203, 51, 105, 159, 213, 19, 73, 127, 181, 26, 80, 134, 188)(8, 62, 116, 170, 31, 85, 139, 193, 21, 75, 129, 183, 46, 100, 154, 208, 54, 108, 162, 216, 33, 87, 141, 195)(12, 66, 120, 174, 34, 88, 142, 196, 25, 79, 133, 187, 38, 92, 146, 200, 53, 107, 161, 215, 42, 96, 150, 204)(16, 70, 124, 178, 40, 94, 148, 202, 28, 82, 136, 190, 45, 99, 153, 207, 35, 89, 143, 197, 48, 102, 156, 210)(17, 71, 125, 179, 30, 84, 138, 192, 27, 81, 135, 189, 37, 91, 145, 199, 43, 97, 151, 205, 49, 103, 157, 211)
	L = (1, 56)(2, 59)(3, 66)(4, 70)(5, 55)(6, 77)(7, 74)(8, 84)(9, 88)(10, 83)(11, 58)(12, 68)(13, 97)(14, 57)(15, 98)(16, 65)(17, 85)(18, 73)(19, 102)(20, 81)(21, 93)(22, 63)(23, 79)(24, 87)(25, 60)(26, 92)(27, 61)(28, 71)(29, 91)(30, 86)(31, 82)(32, 62)(33, 106)(34, 76)(35, 80)(36, 105)(37, 64)(38, 89)(39, 94)(40, 75)(41, 101)(42, 67)(43, 96)(44, 100)(45, 107)(46, 69)(47, 108)(48, 72)(49, 99)(50, 90)(51, 104)(52, 78)(53, 103)(54, 95)(109, 165)(110, 170)(111, 168)(112, 179)(113, 181)(114, 163)(115, 186)(116, 172)(117, 197)(118, 164)(119, 198)(120, 202)(121, 193)(122, 191)(123, 166)(124, 196)(125, 177)(126, 185)(127, 183)(128, 204)(129, 167)(130, 208)(131, 211)(132, 190)(133, 209)(134, 175)(135, 178)(136, 169)(137, 207)(138, 187)(139, 188)(140, 201)(141, 171)(142, 189)(143, 195)(144, 200)(145, 216)(146, 173)(147, 215)(148, 203)(149, 174)(150, 213)(151, 184)(152, 214)(153, 176)(154, 205)(155, 192)(156, 199)(157, 180)(158, 206)(159, 182)(160, 212)(161, 194)(162, 210)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.1158
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 63
	degree seq :: [ 24^9 ]

E19.1163 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, (Y1 * Y3 * Y2^-1)^2, Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, (Y2 * Y1^-1)^3, (Y3 * Y2 * Y1^-1)^2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 8, 62, 116, 170)(3, 57, 111, 165, 11, 65, 119, 173)(5, 59, 113, 167, 18, 72, 126, 180)(6, 60, 114, 168, 21, 75, 129, 183)(7, 61, 115, 169, 24, 78, 132, 186)(9, 63, 117, 171, 31, 85, 139, 193)(10, 64, 118, 172, 26, 80, 134, 188)(12, 66, 120, 174, 38, 92, 146, 200)(13, 67, 121, 175, 40, 94, 148, 202)(14, 68, 122, 176, 34, 88, 142, 196)(15, 69, 123, 177, 41, 95, 149, 203)(16, 70, 124, 178, 39, 93, 147, 201)(17, 71, 125, 179, 43, 97, 151, 205)(19, 73, 127, 181, 48, 102, 156, 210)(20, 74, 128, 182, 28, 82, 136, 190)(22, 76, 130, 184, 44, 98, 152, 206)(23, 77, 131, 185, 37, 91, 145, 199)(25, 79, 133, 187, 50, 104, 158, 212)(27, 81, 135, 189, 51, 105, 159, 213)(29, 83, 137, 191, 53, 107, 161, 215)(30, 84, 138, 192, 42, 96, 150, 204)(32, 86, 140, 194, 35, 89, 143, 197)(33, 87, 141, 195, 52, 106, 160, 214)(36, 90, 144, 198, 45, 99, 153, 207)(46, 100, 154, 208, 54, 108, 162, 216)(47, 101, 155, 209, 49, 103, 157, 211)
	L = (1, 56)(2, 59)(3, 64)(4, 67)(5, 55)(6, 74)(7, 77)(8, 80)(9, 84)(10, 66)(11, 89)(12, 57)(13, 69)(14, 90)(15, 58)(16, 97)(17, 94)(18, 91)(19, 95)(20, 76)(21, 100)(22, 60)(23, 79)(24, 106)(25, 61)(26, 82)(27, 92)(28, 62)(29, 65)(30, 86)(31, 68)(32, 63)(33, 73)(34, 105)(35, 83)(36, 85)(37, 96)(38, 102)(39, 107)(40, 99)(41, 87)(42, 72)(43, 98)(44, 70)(45, 71)(46, 104)(47, 78)(48, 81)(49, 93)(50, 75)(51, 108)(52, 101)(53, 103)(54, 88)(109, 165)(110, 169)(111, 168)(112, 176)(113, 179)(114, 163)(115, 171)(116, 189)(117, 164)(118, 195)(119, 198)(120, 192)(121, 186)(122, 178)(123, 190)(124, 166)(125, 181)(126, 208)(127, 167)(128, 211)(129, 193)(130, 213)(131, 184)(132, 200)(133, 203)(134, 205)(135, 191)(136, 204)(137, 170)(138, 201)(139, 210)(140, 216)(141, 196)(142, 172)(143, 214)(144, 199)(145, 173)(146, 175)(147, 174)(148, 194)(149, 215)(150, 177)(151, 212)(152, 197)(153, 182)(154, 209)(155, 180)(156, 183)(157, 207)(158, 188)(159, 185)(160, 206)(161, 187)(162, 202)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1154
Transitivity :: VT+
Graph:: simple
	v = 27 e = 108 f = 45
	degree seq :: [ 8^27 ]

E19.1164 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2, Y1 * Y3 * Y1 * Y2^-1 * Y1^-1 * Y3, (Y1 * Y3 * Y2^-1)^2, (Y2 * Y1^-1)^3, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, (Y1 * Y2)^3, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 8, 62, 116, 170)(3, 57, 111, 165, 11, 65, 119, 173)(5, 59, 113, 167, 18, 72, 126, 180)(6, 60, 114, 168, 21, 75, 129, 183)(7, 61, 115, 169, 24, 78, 132, 186)(9, 63, 117, 171, 31, 85, 139, 193)(10, 64, 118, 172, 34, 88, 142, 196)(12, 66, 120, 174, 38, 92, 146, 200)(13, 67, 121, 175, 25, 79, 133, 187)(14, 68, 122, 176, 40, 94, 148, 202)(15, 69, 123, 177, 32, 86, 140, 194)(16, 70, 124, 178, 43, 97, 151, 205)(17, 71, 125, 179, 37, 91, 145, 199)(19, 73, 127, 181, 42, 96, 150, 204)(20, 74, 128, 182, 41, 95, 149, 203)(22, 76, 130, 184, 48, 102, 156, 210)(23, 77, 131, 185, 52, 106, 160, 214)(26, 80, 134, 188, 46, 100, 154, 208)(27, 81, 135, 189, 39, 93, 147, 201)(28, 82, 136, 190, 33, 87, 141, 195)(29, 83, 137, 191, 54, 108, 162, 216)(30, 84, 138, 192, 44, 98, 152, 206)(35, 89, 143, 197, 49, 103, 157, 211)(36, 90, 144, 198, 50, 104, 158, 212)(45, 99, 153, 207, 51, 105, 159, 213)(47, 101, 155, 209, 53, 107, 161, 215)
	L = (1, 56)(2, 59)(3, 64)(4, 67)(5, 55)(6, 74)(7, 77)(8, 80)(9, 84)(10, 66)(11, 90)(12, 57)(13, 69)(14, 88)(15, 58)(16, 91)(17, 99)(18, 92)(19, 104)(20, 76)(21, 101)(22, 60)(23, 79)(24, 95)(25, 61)(26, 82)(27, 106)(28, 62)(29, 65)(30, 86)(31, 68)(32, 63)(33, 73)(34, 85)(35, 97)(36, 83)(37, 98)(38, 102)(39, 107)(40, 93)(41, 103)(42, 81)(43, 108)(44, 70)(45, 100)(46, 71)(47, 105)(48, 72)(49, 78)(50, 87)(51, 75)(52, 96)(53, 94)(54, 89)(109, 165)(110, 169)(111, 168)(112, 176)(113, 179)(114, 163)(115, 171)(116, 189)(117, 164)(118, 195)(119, 186)(120, 192)(121, 188)(122, 178)(123, 203)(124, 166)(125, 181)(126, 209)(127, 167)(128, 202)(129, 190)(130, 205)(131, 184)(132, 199)(133, 212)(134, 200)(135, 191)(136, 206)(137, 170)(138, 201)(139, 210)(140, 216)(141, 197)(142, 214)(143, 172)(144, 193)(145, 173)(146, 175)(147, 174)(148, 208)(149, 204)(150, 177)(151, 185)(152, 183)(153, 194)(154, 182)(155, 211)(156, 198)(157, 180)(158, 215)(159, 196)(160, 213)(161, 187)(162, 207)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1156
Transitivity :: VT+
Graph:: simple
	v = 27 e = 108 f = 45
	degree seq :: [ 8^27 ]

E19.1165 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y3, (Y2 * Y1)^3, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 8, 62, 116, 170)(3, 57, 111, 165, 11, 65, 119, 173)(5, 59, 113, 167, 14, 68, 122, 176)(6, 60, 114, 168, 13, 67, 121, 175)(7, 61, 115, 169, 20, 74, 128, 182)(9, 63, 117, 171, 22, 76, 130, 184)(10, 64, 118, 172, 26, 80, 134, 188)(12, 66, 120, 174, 28, 82, 136, 190)(15, 69, 123, 177, 32, 86, 140, 194)(16, 70, 124, 178, 33, 87, 141, 195)(17, 71, 125, 179, 30, 84, 138, 192)(18, 72, 126, 180, 31, 85, 139, 193)(19, 73, 127, 181, 39, 93, 147, 201)(21, 75, 129, 183, 40, 94, 148, 202)(23, 77, 131, 185, 42, 96, 150, 204)(24, 78, 132, 186, 43, 97, 151, 205)(25, 79, 133, 187, 45, 99, 153, 207)(27, 81, 135, 189, 46, 100, 154, 208)(29, 83, 137, 191, 47, 101, 155, 209)(34, 88, 142, 196, 51, 105, 159, 213)(35, 89, 143, 197, 49, 103, 157, 211)(36, 90, 144, 198, 52, 106, 160, 214)(37, 91, 145, 199, 48, 102, 156, 210)(38, 92, 146, 200, 50, 104, 158, 212)(41, 95, 149, 203, 53, 107, 161, 215)(44, 98, 152, 206, 54, 108, 162, 216)
	L = (1, 56)(2, 59)(3, 64)(4, 65)(5, 55)(6, 71)(7, 73)(8, 74)(9, 77)(10, 66)(11, 67)(12, 57)(13, 58)(14, 86)(15, 88)(16, 90)(17, 72)(18, 60)(19, 75)(20, 76)(21, 61)(22, 62)(23, 78)(24, 63)(25, 70)(26, 99)(27, 92)(28, 96)(29, 95)(30, 102)(31, 104)(32, 87)(33, 68)(34, 89)(35, 69)(36, 79)(37, 83)(38, 98)(39, 85)(40, 106)(41, 91)(42, 101)(43, 108)(44, 81)(45, 100)(46, 80)(47, 82)(48, 103)(49, 84)(50, 93)(51, 97)(52, 107)(53, 94)(54, 105)(109, 165)(110, 169)(111, 168)(112, 170)(113, 177)(114, 163)(115, 171)(116, 176)(117, 164)(118, 187)(119, 188)(120, 185)(121, 192)(122, 166)(123, 178)(124, 167)(125, 199)(126, 200)(127, 180)(128, 201)(129, 198)(130, 204)(131, 191)(132, 206)(133, 189)(134, 190)(135, 172)(136, 173)(137, 174)(138, 193)(139, 175)(140, 213)(141, 214)(142, 186)(143, 179)(144, 203)(145, 197)(146, 181)(147, 202)(148, 182)(149, 183)(150, 205)(151, 184)(152, 196)(153, 195)(154, 212)(155, 215)(156, 209)(157, 194)(158, 216)(159, 211)(160, 207)(161, 210)(162, 208)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1155
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 45
	degree seq :: [ 8^27 ]

E19.1166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, (Y2^-1 * Y1)^2, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 8, 62)(5, 59, 7, 61)(6, 60, 10, 64)(11, 65, 23, 77)(12, 66, 24, 78)(13, 67, 22, 76)(14, 68, 21, 75)(15, 69, 19, 73)(16, 70, 20, 74)(17, 71, 26, 80)(18, 72, 25, 79)(27, 81, 47, 101)(28, 82, 46, 100)(29, 83, 43, 97)(30, 84, 48, 102)(31, 85, 41, 95)(32, 86, 45, 99)(33, 87, 44, 98)(34, 88, 40, 94)(35, 89, 39, 93)(36, 90, 42, 96)(37, 91, 50, 104)(38, 92, 49, 103)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 121, 175, 122, 176)(114, 168, 125, 179, 126, 180)(116, 170, 129, 183, 130, 184)(118, 172, 133, 187, 134, 188)(119, 173, 135, 189, 136, 190)(120, 174, 137, 191, 138, 192)(123, 177, 142, 196, 143, 197)(124, 178, 144, 198, 139, 193)(127, 181, 147, 201, 148, 202)(128, 182, 149, 203, 150, 204)(131, 185, 154, 208, 155, 209)(132, 186, 156, 210, 151, 205)(140, 194, 146, 200, 160, 214)(141, 195, 159, 213, 145, 199)(152, 206, 158, 212, 162, 216)(153, 207, 161, 215, 157, 211)
	L = (1, 112)(2, 116)(3, 119)(4, 114)(5, 123)(6, 109)(7, 127)(8, 118)(9, 131)(10, 110)(11, 120)(12, 111)(13, 139)(14, 137)(15, 124)(16, 113)(17, 145)(18, 146)(19, 128)(20, 115)(21, 151)(22, 149)(23, 132)(24, 117)(25, 157)(26, 158)(27, 126)(28, 144)(29, 141)(30, 160)(31, 140)(32, 121)(33, 122)(34, 138)(35, 125)(36, 159)(37, 143)(38, 135)(39, 134)(40, 156)(41, 153)(42, 162)(43, 152)(44, 129)(45, 130)(46, 150)(47, 133)(48, 161)(49, 155)(50, 147)(51, 136)(52, 142)(53, 148)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1198
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1 * Y3 * Y1, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1)^3, (Y1 * Y2^-1 * Y3)^2, (Y3 * Y2^-1)^3, (Y2 * Y3^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 14, 68)(5, 59, 17, 71)(6, 60, 20, 74)(7, 61, 23, 77)(8, 62, 19, 73)(9, 63, 27, 81)(10, 64, 15, 69)(12, 66, 34, 88)(13, 67, 26, 80)(16, 70, 25, 79)(18, 72, 29, 83)(21, 75, 28, 82)(22, 76, 48, 102)(24, 78, 38, 92)(30, 84, 36, 90)(31, 85, 49, 103)(32, 86, 52, 106)(33, 87, 35, 89)(37, 91, 53, 107)(39, 93, 45, 99)(40, 94, 51, 105)(41, 95, 50, 104)(42, 96, 47, 101)(43, 97, 44, 98)(46, 100, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 123, 177, 124, 178)(114, 168, 129, 183, 130, 184)(116, 170, 128, 182, 134, 188)(118, 172, 137, 191, 138, 192)(119, 173, 139, 193, 140, 194)(120, 174, 143, 197, 144, 198)(121, 175, 145, 199, 146, 200)(122, 176, 147, 201, 141, 195)(125, 179, 149, 203, 150, 204)(126, 180, 152, 206, 153, 207)(127, 181, 154, 208, 148, 202)(131, 185, 157, 211, 158, 212)(132, 186, 159, 213, 156, 210)(133, 187, 151, 205, 142, 196)(135, 189, 160, 214, 155, 209)(136, 190, 161, 215, 162, 216)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 126)(6, 109)(7, 132)(8, 118)(9, 136)(10, 110)(11, 128)(12, 121)(13, 111)(14, 117)(15, 148)(16, 145)(17, 134)(18, 127)(19, 113)(20, 141)(21, 155)(22, 157)(23, 123)(24, 133)(25, 115)(26, 151)(27, 124)(28, 122)(29, 150)(30, 139)(31, 159)(32, 161)(33, 119)(34, 140)(35, 130)(36, 154)(37, 135)(38, 158)(39, 149)(40, 131)(41, 156)(42, 162)(43, 125)(44, 146)(45, 129)(46, 160)(47, 153)(48, 147)(49, 143)(50, 152)(51, 138)(52, 144)(53, 142)(54, 137)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1202
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3)^3, (Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 13, 67)(5, 59, 7, 61)(6, 60, 18, 72)(8, 62, 14, 68)(10, 64, 17, 71)(11, 65, 27, 81)(12, 66, 22, 76)(15, 69, 23, 77)(16, 70, 37, 91)(19, 73, 32, 86)(20, 74, 41, 95)(21, 75, 38, 92)(24, 78, 28, 82)(25, 79, 34, 88)(26, 80, 40, 94)(29, 83, 48, 102)(30, 84, 46, 100)(31, 85, 45, 99)(33, 87, 36, 90)(35, 89, 47, 101)(39, 93, 44, 98)(42, 96, 50, 104)(43, 97, 49, 103)(51, 105, 52, 106)(53, 107, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 122, 176, 123, 177)(114, 168, 127, 181, 128, 182)(116, 170, 121, 175, 131, 185)(118, 172, 133, 187, 134, 188)(119, 173, 136, 190, 137, 191)(120, 174, 138, 192, 139, 193)(124, 178, 146, 200, 147, 201)(125, 179, 148, 202, 142, 196)(126, 180, 149, 203, 140, 194)(129, 183, 145, 199, 152, 206)(130, 184, 153, 207, 154, 208)(132, 186, 135, 189, 156, 210)(141, 195, 158, 212, 159, 213)(143, 197, 151, 205, 161, 215)(144, 198, 160, 214, 150, 204)(155, 209, 162, 216, 157, 211)
	L = (1, 112)(2, 116)(3, 119)(4, 114)(5, 124)(6, 109)(7, 129)(8, 118)(9, 132)(10, 110)(11, 120)(12, 111)(13, 140)(14, 142)(15, 138)(16, 125)(17, 113)(18, 117)(19, 150)(20, 151)(21, 130)(22, 115)(23, 153)(24, 126)(25, 157)(26, 158)(27, 154)(28, 128)(29, 148)(30, 144)(31, 161)(32, 141)(33, 121)(34, 143)(35, 122)(36, 123)(37, 134)(38, 139)(39, 127)(40, 160)(41, 162)(42, 147)(43, 136)(44, 149)(45, 155)(46, 159)(47, 131)(48, 133)(49, 156)(50, 145)(51, 135)(52, 137)(53, 146)(54, 152)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1200
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y2 * Y3 * Y1)^2, (Y3 * Y2 * Y1)^2, (Y3^-1 * Y2^-1)^3, (Y3 * Y2^-1)^3, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y1, Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 14, 68)(5, 59, 17, 71)(6, 60, 20, 74)(7, 61, 23, 77)(8, 62, 13, 67)(9, 63, 26, 80)(10, 64, 16, 70)(12, 66, 30, 84)(15, 69, 28, 82)(18, 72, 43, 97)(19, 73, 25, 79)(21, 75, 47, 101)(22, 76, 24, 78)(27, 81, 46, 100)(29, 83, 44, 98)(31, 85, 49, 103)(32, 86, 53, 107)(33, 87, 35, 89)(34, 88, 39, 93)(36, 90, 54, 108)(37, 91, 51, 105)(38, 92, 45, 99)(40, 94, 52, 106)(41, 95, 50, 104)(42, 96, 48, 102)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 123, 177, 124, 178)(114, 168, 129, 183, 130, 184)(116, 170, 133, 187, 128, 182)(118, 172, 137, 191, 138, 192)(119, 173, 139, 193, 140, 194)(120, 174, 142, 196, 143, 197)(121, 175, 144, 198, 145, 199)(122, 176, 146, 200, 147, 201)(125, 179, 149, 203, 150, 204)(126, 180, 152, 206, 153, 207)(127, 181, 154, 208, 148, 202)(131, 185, 157, 211, 158, 212)(132, 186, 159, 213, 160, 214)(134, 188, 161, 215, 156, 210)(135, 189, 155, 209, 162, 216)(136, 190, 151, 205, 141, 195)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 126)(6, 109)(7, 132)(8, 118)(9, 135)(10, 110)(11, 133)(12, 121)(13, 111)(14, 115)(15, 148)(16, 144)(17, 128)(18, 127)(19, 113)(20, 146)(21, 156)(22, 157)(23, 123)(24, 122)(25, 141)(26, 124)(27, 136)(28, 117)(29, 150)(30, 139)(31, 159)(32, 155)(33, 119)(34, 130)(35, 154)(36, 134)(37, 158)(38, 125)(39, 140)(40, 131)(41, 160)(42, 162)(43, 149)(44, 145)(45, 129)(46, 161)(47, 147)(48, 153)(49, 142)(50, 152)(51, 138)(52, 151)(53, 143)(54, 137)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1205
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, Y2^3, (Y1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y1, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y2 * Y3)^3, (Y2 * Y3^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 13, 67)(5, 59, 7, 61)(6, 60, 18, 72)(8, 62, 15, 69)(10, 64, 12, 66)(11, 65, 27, 81)(14, 68, 22, 76)(16, 70, 37, 91)(17, 71, 24, 78)(19, 73, 41, 95)(20, 74, 32, 86)(21, 75, 39, 93)(23, 77, 29, 83)(25, 79, 31, 85)(26, 80, 30, 84)(28, 82, 47, 101)(33, 87, 35, 89)(34, 88, 48, 102)(36, 90, 46, 100)(38, 92, 44, 98)(40, 94, 45, 99)(42, 96, 50, 104)(43, 97, 49, 103)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 122, 176, 123, 177)(114, 168, 127, 181, 128, 182)(116, 170, 130, 184, 121, 175)(118, 172, 133, 187, 134, 188)(119, 173, 136, 190, 137, 191)(120, 174, 138, 192, 139, 193)(124, 178, 146, 200, 147, 201)(125, 179, 148, 202, 142, 196)(126, 180, 140, 194, 149, 203)(129, 183, 152, 206, 145, 199)(131, 185, 155, 209, 135, 189)(132, 186, 156, 210, 153, 207)(141, 195, 161, 215, 157, 211)(143, 197, 151, 205, 160, 214)(144, 198, 159, 213, 150, 204)(154, 208, 158, 212, 162, 216)
	L = (1, 112)(2, 116)(3, 119)(4, 114)(5, 124)(6, 109)(7, 129)(8, 118)(9, 131)(10, 110)(11, 120)(12, 111)(13, 140)(14, 142)(15, 138)(16, 125)(17, 113)(18, 115)(19, 150)(20, 151)(21, 126)(22, 153)(23, 132)(24, 117)(25, 157)(26, 158)(27, 133)(28, 128)(29, 148)(30, 144)(31, 160)(32, 141)(33, 121)(34, 143)(35, 122)(36, 123)(37, 156)(38, 139)(39, 127)(40, 159)(41, 162)(42, 147)(43, 136)(44, 134)(45, 154)(46, 130)(47, 149)(48, 161)(49, 135)(50, 152)(51, 137)(52, 146)(53, 145)(54, 155)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1204
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1 * Y1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1, (Y2 * Y3)^3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1, (Y2^-1 * R * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 8, 62)(5, 59, 16, 70)(6, 60, 10, 64)(7, 61, 21, 75)(9, 63, 26, 80)(12, 66, 32, 86)(13, 67, 25, 79)(14, 68, 36, 90)(15, 69, 23, 77)(17, 71, 29, 83)(18, 72, 41, 95)(19, 73, 27, 81)(20, 74, 45, 99)(22, 76, 39, 93)(24, 78, 46, 100)(28, 82, 44, 98)(30, 84, 38, 92)(31, 85, 43, 97)(33, 87, 49, 103)(34, 88, 40, 94)(35, 89, 50, 104)(37, 91, 47, 101)(42, 96, 48, 102)(51, 105, 53, 107)(52, 106, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 122, 176, 123, 177)(114, 168, 127, 181, 128, 182)(116, 170, 132, 186, 133, 187)(118, 172, 137, 191, 138, 192)(119, 173, 139, 193, 131, 185)(120, 174, 141, 195, 142, 196)(121, 175, 129, 183, 143, 197)(124, 178, 135, 189, 148, 202)(125, 179, 150, 204, 134, 188)(126, 180, 151, 205, 145, 199)(130, 184, 155, 209, 156, 210)(136, 190, 158, 212, 157, 211)(140, 194, 160, 214, 149, 203)(144, 198, 159, 213, 153, 207)(146, 200, 154, 208, 162, 216)(147, 201, 161, 215, 152, 206)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 125)(6, 109)(7, 130)(8, 118)(9, 135)(10, 110)(11, 140)(12, 121)(13, 111)(14, 145)(15, 129)(16, 137)(17, 126)(18, 113)(19, 152)(20, 154)(21, 147)(22, 131)(23, 115)(24, 157)(25, 119)(26, 127)(27, 136)(28, 117)(29, 149)(30, 144)(31, 159)(32, 133)(33, 128)(34, 151)(35, 162)(36, 155)(37, 146)(38, 122)(39, 123)(40, 139)(41, 124)(42, 143)(43, 161)(44, 134)(45, 132)(46, 141)(47, 138)(48, 158)(49, 153)(50, 160)(51, 148)(52, 156)(53, 142)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1196
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, Y1 * Y3 * Y1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1, (R * Y3^-1 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1)^3, Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, (Y2^-1 * R * Y2^-1 * Y1)^2, (Y3 * Y2^-1 * Y3 * Y1)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 8, 62)(5, 59, 16, 70)(6, 60, 10, 64)(7, 61, 21, 75)(9, 63, 26, 80)(12, 66, 30, 84)(13, 67, 32, 86)(14, 68, 28, 82)(15, 69, 37, 91)(17, 71, 39, 93)(18, 72, 24, 78)(19, 73, 44, 98)(20, 74, 22, 76)(23, 77, 46, 100)(25, 79, 45, 99)(27, 81, 36, 90)(29, 83, 38, 92)(31, 85, 41, 95)(33, 87, 49, 103)(34, 88, 50, 104)(35, 89, 40, 94)(42, 96, 47, 101)(43, 97, 48, 102)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 122, 176, 123, 177)(114, 168, 127, 181, 128, 182)(116, 170, 132, 186, 133, 187)(118, 172, 137, 191, 138, 192)(119, 173, 139, 193, 130, 184)(120, 174, 129, 183, 141, 195)(121, 175, 142, 196, 143, 197)(124, 178, 136, 190, 148, 202)(125, 179, 149, 203, 150, 204)(126, 180, 151, 205, 134, 188)(131, 185, 155, 209, 156, 210)(135, 189, 157, 211, 158, 212)(140, 194, 160, 214, 147, 201)(144, 198, 154, 208, 162, 216)(145, 199, 152, 206, 159, 213)(146, 200, 161, 215, 153, 207)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 125)(6, 109)(7, 130)(8, 118)(9, 135)(10, 110)(11, 138)(12, 121)(13, 111)(14, 134)(15, 142)(16, 147)(17, 126)(18, 113)(19, 153)(20, 154)(21, 128)(22, 131)(23, 115)(24, 124)(25, 155)(26, 144)(27, 136)(28, 117)(29, 145)(30, 140)(31, 148)(32, 119)(33, 151)(34, 146)(35, 162)(36, 122)(37, 158)(38, 123)(39, 132)(40, 159)(41, 143)(42, 127)(43, 161)(44, 133)(45, 150)(46, 129)(47, 152)(48, 160)(49, 156)(50, 137)(51, 139)(52, 157)(53, 141)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1197
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2, Y2^2 * Y3^-1, R * Y2 * R * Y3^-1, (R * Y1)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, (Y3^-1 * Y1)^6, Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 8, 62)(5, 59, 9, 63)(6, 60, 10, 64)(11, 65, 19, 73)(12, 66, 20, 74)(13, 67, 21, 75)(14, 68, 22, 76)(15, 69, 23, 77)(16, 70, 24, 78)(17, 71, 25, 79)(18, 72, 26, 80)(27, 81, 42, 96)(28, 82, 43, 97)(29, 83, 37, 91)(30, 84, 44, 98)(31, 85, 45, 99)(32, 86, 40, 94)(33, 87, 46, 100)(34, 88, 35, 89)(36, 90, 47, 101)(38, 92, 48, 102)(39, 93, 49, 103)(41, 95, 50, 104)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 112, 166)(110, 164, 113, 167, 114, 168)(115, 169, 119, 173, 120, 174)(116, 170, 121, 175, 122, 176)(117, 171, 123, 177, 124, 178)(118, 172, 125, 179, 126, 180)(127, 181, 135, 189, 136, 190)(128, 182, 137, 191, 138, 192)(129, 183, 139, 193, 140, 194)(130, 184, 141, 195, 142, 196)(131, 185, 143, 197, 144, 198)(132, 186, 145, 199, 146, 200)(133, 187, 147, 201, 148, 202)(134, 188, 149, 203, 150, 204)(151, 205, 154, 208, 159, 213)(152, 206, 160, 214, 153, 207)(155, 209, 158, 212, 161, 215)(156, 210, 162, 216, 157, 211)
	L = (1, 112)(2, 114)(3, 109)(4, 111)(5, 110)(6, 113)(7, 120)(8, 122)(9, 124)(10, 126)(11, 115)(12, 119)(13, 116)(14, 121)(15, 117)(16, 123)(17, 118)(18, 125)(19, 136)(20, 138)(21, 140)(22, 142)(23, 144)(24, 146)(25, 148)(26, 150)(27, 127)(28, 135)(29, 128)(30, 137)(31, 129)(32, 139)(33, 130)(34, 141)(35, 131)(36, 143)(37, 132)(38, 145)(39, 133)(40, 147)(41, 134)(42, 149)(43, 159)(44, 153)(45, 160)(46, 151)(47, 161)(48, 157)(49, 162)(50, 155)(51, 154)(52, 152)(53, 158)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1203
Graph:: bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3)^3, (Y3^-1 * Y2^-1)^3, (Y2 * Y3^-1)^3, (Y1 * Y2^-1 * Y3)^2, Y1 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1, (Y3 * Y2^-1)^3, Y2 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y3, (Y2 * Y3^-1 * Y1)^2, (Y2^-1 * Y3^-1)^3, R * Y3^-1 * Y2 * Y3 * Y2 * R * Y2^-1, Y2 * R * Y1 * Y2^-1 * Y3 * Y2 * R * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 14, 68)(5, 59, 17, 71)(6, 60, 20, 74)(7, 61, 23, 77)(8, 62, 26, 80)(9, 63, 29, 83)(10, 64, 32, 86)(12, 66, 38, 92)(13, 67, 28, 82)(15, 69, 27, 81)(16, 70, 25, 79)(18, 72, 33, 87)(19, 73, 31, 85)(21, 75, 30, 84)(22, 76, 46, 100)(24, 78, 49, 103)(34, 88, 40, 94)(35, 89, 44, 98)(36, 90, 42, 96)(37, 91, 54, 108)(39, 93, 53, 107)(41, 95, 50, 104)(43, 97, 47, 101)(45, 99, 52, 106)(48, 102, 51, 105)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 123, 177, 124, 178)(114, 168, 129, 183, 130, 184)(116, 170, 135, 189, 136, 190)(118, 172, 141, 195, 142, 196)(119, 173, 132, 186, 144, 198)(120, 174, 147, 201, 131, 185)(121, 175, 148, 202, 137, 191)(122, 176, 149, 203, 145, 199)(125, 179, 133, 187, 154, 208)(126, 180, 156, 210, 157, 211)(127, 181, 158, 212, 150, 204)(128, 182, 153, 207, 159, 213)(134, 188, 152, 206, 160, 214)(138, 192, 155, 209, 146, 200)(139, 193, 143, 197, 161, 215)(140, 194, 162, 216, 151, 205)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 126)(6, 109)(7, 132)(8, 118)(9, 138)(10, 110)(11, 143)(12, 121)(13, 111)(14, 146)(15, 150)(16, 148)(17, 153)(18, 127)(19, 113)(20, 144)(21, 134)(22, 140)(23, 158)(24, 133)(25, 115)(26, 157)(27, 161)(28, 154)(29, 162)(30, 139)(31, 117)(32, 147)(33, 122)(34, 128)(35, 145)(36, 142)(37, 119)(38, 141)(39, 130)(40, 152)(41, 136)(42, 151)(43, 123)(44, 124)(45, 155)(46, 149)(47, 125)(48, 137)(49, 129)(50, 160)(51, 135)(52, 131)(53, 159)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1201
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3)^3, (Y3^-1 * Y1 * Y2^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2, (Y3 * Y2 * Y1)^2, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1, (Y3 * Y2^-1)^3, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y1, (Y2^-1 * Y1 * Y3^-1)^2, (Y2^-1 * Y3^-1)^3, R * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * R * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 14, 68)(5, 59, 17, 71)(6, 60, 20, 74)(7, 61, 23, 77)(8, 62, 26, 80)(9, 63, 29, 83)(10, 64, 32, 86)(12, 66, 34, 88)(13, 67, 25, 79)(15, 69, 31, 85)(16, 70, 28, 82)(18, 72, 43, 97)(19, 73, 27, 81)(21, 75, 35, 89)(22, 76, 24, 78)(30, 84, 38, 92)(33, 87, 45, 99)(36, 90, 54, 108)(37, 91, 47, 101)(39, 93, 51, 105)(40, 94, 48, 102)(41, 95, 44, 98)(42, 96, 52, 106)(46, 100, 49, 103)(50, 104, 53, 107)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 123, 177, 124, 178)(114, 168, 129, 183, 130, 184)(116, 170, 135, 189, 136, 190)(118, 172, 141, 195, 142, 196)(119, 173, 143, 197, 139, 193)(120, 174, 146, 200, 147, 201)(121, 175, 148, 202, 149, 203)(122, 176, 150, 204, 152, 206)(125, 179, 156, 210, 138, 192)(126, 180, 137, 191, 158, 212)(127, 181, 131, 185, 153, 207)(128, 182, 159, 213, 144, 198)(132, 186, 151, 205, 145, 199)(133, 187, 161, 215, 157, 211)(134, 188, 162, 216, 154, 208)(140, 194, 155, 209, 160, 214)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 126)(6, 109)(7, 132)(8, 118)(9, 138)(10, 110)(11, 144)(12, 121)(13, 111)(14, 151)(15, 153)(16, 148)(17, 157)(18, 127)(19, 113)(20, 156)(21, 140)(22, 134)(23, 160)(24, 133)(25, 115)(26, 146)(27, 143)(28, 161)(29, 149)(30, 139)(31, 117)(32, 158)(33, 128)(34, 122)(35, 152)(36, 145)(37, 119)(38, 130)(39, 131)(40, 155)(41, 162)(42, 125)(43, 142)(44, 135)(45, 154)(46, 123)(47, 124)(48, 141)(49, 150)(50, 129)(51, 136)(52, 147)(53, 159)(54, 137)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1199
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (Y1^-1, Y2), (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, (Y1 * Y3)^2, Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y3^-1, Y3^6, Y2 * Y1 * Y3^3 * Y1 * Y3^-1, Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3^2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 13, 67)(4, 58, 15, 69, 18, 72)(6, 60, 10, 64, 20, 74)(7, 61, 22, 76, 9, 63)(11, 65, 29, 83, 19, 73)(12, 66, 31, 85, 33, 87)(14, 68, 35, 89, 24, 78)(16, 70, 37, 91, 40, 94)(17, 71, 41, 95, 43, 97)(21, 75, 47, 101, 26, 80)(23, 77, 51, 105, 49, 103)(25, 79, 52, 106, 34, 88)(27, 81, 50, 104, 39, 93)(28, 82, 42, 96, 45, 99)(30, 84, 54, 108, 36, 90)(32, 86, 53, 107, 46, 100)(38, 92, 48, 102, 44, 98)(109, 163, 111, 165, 114, 168)(110, 164, 116, 170, 118, 172)(112, 166, 124, 178, 120, 174)(113, 167, 121, 175, 128, 182)(115, 169, 129, 183, 122, 176)(117, 171, 134, 188, 132, 186)(119, 173, 136, 190, 133, 187)(123, 177, 145, 199, 139, 193)(125, 179, 140, 194, 147, 201)(126, 180, 148, 202, 141, 195)(127, 181, 153, 207, 142, 196)(130, 184, 155, 209, 143, 197)(131, 185, 144, 198, 156, 210)(135, 189, 149, 203, 161, 215)(137, 191, 150, 204, 160, 214)(138, 192, 152, 206, 159, 213)(146, 200, 157, 211, 162, 216)(151, 205, 154, 208, 158, 212)
	L = (1, 112)(2, 117)(3, 120)(4, 125)(5, 127)(6, 124)(7, 109)(8, 132)(9, 135)(10, 134)(11, 110)(12, 140)(13, 142)(14, 111)(15, 113)(16, 147)(17, 150)(18, 152)(19, 154)(20, 153)(21, 114)(22, 157)(23, 115)(24, 149)(25, 116)(26, 161)(27, 148)(28, 118)(29, 144)(30, 119)(31, 121)(32, 137)(33, 159)(34, 158)(35, 162)(36, 122)(37, 128)(38, 123)(39, 160)(40, 138)(41, 126)(42, 131)(43, 143)(44, 133)(45, 151)(46, 155)(47, 146)(48, 129)(49, 139)(50, 130)(51, 136)(52, 156)(53, 141)(54, 145)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1187
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 6^36 ]

E19.1177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (Y3^-1 * Y1^-1)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, (Y2^-1, Y1^-1), Y2^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y3, Y3^6, Y3^-2 * Y2 * Y1^-1 * Y3^2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 13, 67)(4, 58, 15, 69, 18, 72)(6, 60, 10, 64, 20, 74)(7, 61, 22, 76, 9, 63)(11, 65, 29, 83, 19, 73)(12, 66, 31, 85, 33, 87)(14, 68, 35, 89, 24, 78)(16, 70, 37, 91, 40, 94)(17, 71, 41, 95, 43, 97)(21, 75, 47, 101, 26, 80)(23, 77, 51, 105, 49, 103)(25, 79, 42, 96, 34, 88)(27, 81, 50, 104, 32, 86)(28, 82, 53, 107, 45, 99)(30, 84, 54, 108, 48, 102)(36, 90, 44, 98, 38, 92)(39, 93, 52, 106, 46, 100)(109, 163, 111, 165, 114, 168)(110, 164, 116, 170, 118, 172)(112, 166, 124, 178, 120, 174)(113, 167, 121, 175, 128, 182)(115, 169, 129, 183, 122, 176)(117, 171, 134, 188, 132, 186)(119, 173, 136, 190, 133, 187)(123, 177, 145, 199, 139, 193)(125, 179, 140, 194, 147, 201)(126, 180, 148, 202, 141, 195)(127, 181, 153, 207, 142, 196)(130, 184, 155, 209, 143, 197)(131, 185, 144, 198, 156, 210)(135, 189, 160, 214, 149, 203)(137, 191, 161, 215, 150, 204)(138, 192, 159, 213, 152, 206)(146, 200, 162, 216, 157, 211)(151, 205, 158, 212, 154, 208)
	L = (1, 112)(2, 117)(3, 120)(4, 125)(5, 127)(6, 124)(7, 109)(8, 132)(9, 135)(10, 134)(11, 110)(12, 140)(13, 142)(14, 111)(15, 113)(16, 147)(17, 150)(18, 152)(19, 154)(20, 153)(21, 114)(22, 157)(23, 115)(24, 160)(25, 116)(26, 149)(27, 141)(28, 118)(29, 156)(30, 119)(31, 121)(32, 161)(33, 138)(34, 151)(35, 146)(36, 122)(37, 128)(38, 123)(39, 137)(40, 159)(41, 126)(42, 131)(43, 155)(44, 136)(45, 158)(46, 143)(47, 162)(48, 129)(49, 145)(50, 130)(51, 133)(52, 148)(53, 144)(54, 139)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1186
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 6^36 ]

E19.1178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, Y2^3, (Y1 * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2 * Y1^-1)^3, (Y2 * Y1^-1)^3, (Y1^-1 * Y2^-1)^3, (Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 10, 64, 12, 66)(4, 58, 13, 67, 8, 62)(6, 60, 17, 71, 18, 72)(7, 61, 19, 73, 21, 75)(9, 63, 23, 77, 24, 78)(11, 65, 28, 82, 26, 80)(14, 68, 32, 86, 33, 87)(15, 69, 34, 88, 35, 89)(16, 70, 36, 90, 25, 79)(20, 74, 40, 94, 39, 93)(22, 76, 42, 96, 43, 97)(27, 81, 38, 92, 44, 98)(29, 83, 41, 95, 37, 91)(30, 84, 48, 102, 49, 103)(31, 85, 45, 99, 50, 104)(46, 100, 54, 108, 51, 105)(47, 101, 52, 106, 53, 107)(109, 163, 111, 165, 114, 168)(110, 164, 115, 169, 117, 171)(112, 166, 119, 173, 122, 176)(113, 167, 123, 177, 124, 178)(116, 170, 128, 182, 130, 184)(118, 172, 133, 187, 135, 189)(120, 174, 131, 185, 137, 191)(121, 175, 138, 192, 139, 193)(125, 179, 145, 199, 143, 197)(126, 180, 146, 200, 127, 181)(129, 183, 144, 198, 149, 203)(132, 186, 152, 206, 142, 196)(134, 188, 153, 207, 154, 208)(136, 190, 151, 205, 155, 209)(140, 194, 159, 213, 147, 201)(141, 195, 160, 214, 156, 210)(148, 202, 158, 212, 161, 215)(150, 204, 162, 216, 157, 211)
	L = (1, 112)(2, 116)(3, 119)(4, 109)(5, 121)(6, 122)(7, 128)(8, 110)(9, 130)(10, 134)(11, 111)(12, 136)(13, 113)(14, 114)(15, 138)(16, 139)(17, 141)(18, 140)(19, 147)(20, 115)(21, 148)(22, 117)(23, 151)(24, 150)(25, 153)(26, 118)(27, 154)(28, 120)(29, 155)(30, 123)(31, 124)(32, 126)(33, 125)(34, 157)(35, 156)(36, 158)(37, 160)(38, 159)(39, 127)(40, 129)(41, 161)(42, 132)(43, 131)(44, 162)(45, 133)(46, 135)(47, 137)(48, 143)(49, 142)(50, 144)(51, 146)(52, 145)(53, 149)(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, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1188
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 6^36 ]

E19.1179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, Y2^3, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1^-1)^3, Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3)^2, (Y2 * Y1^-1)^3, (Y1^-1 * Y2^-1)^3, Y3 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y2, Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 10, 64, 12, 66)(4, 58, 13, 67, 8, 62)(6, 60, 18, 72, 20, 74)(7, 61, 21, 75, 23, 77)(9, 63, 26, 80, 28, 82)(11, 65, 32, 86, 30, 84)(14, 68, 37, 91, 22, 76)(15, 69, 38, 92, 27, 81)(16, 70, 39, 93, 41, 95)(17, 71, 42, 96, 29, 83)(19, 73, 36, 90, 45, 99)(24, 78, 47, 101, 40, 94)(25, 79, 33, 87, 43, 97)(31, 85, 48, 102, 52, 106)(34, 88, 53, 107, 49, 103)(35, 89, 50, 104, 44, 98)(46, 100, 54, 108, 51, 105)(109, 163, 111, 165, 114, 168)(110, 164, 115, 169, 117, 171)(112, 166, 122, 176, 123, 177)(113, 167, 124, 178, 125, 179)(116, 170, 132, 186, 133, 187)(118, 172, 137, 191, 139, 193)(119, 173, 141, 195, 142, 196)(120, 174, 134, 188, 143, 197)(121, 175, 140, 194, 144, 198)(126, 180, 152, 206, 149, 203)(127, 181, 154, 208, 155, 209)(128, 182, 156, 210, 129, 183)(130, 184, 153, 207, 157, 211)(131, 185, 150, 204, 158, 212)(135, 189, 159, 213, 138, 192)(136, 190, 160, 214, 147, 201)(145, 199, 151, 205, 162, 216)(146, 200, 161, 215, 148, 202)
	L = (1, 112)(2, 116)(3, 119)(4, 109)(5, 121)(6, 127)(7, 130)(8, 110)(9, 135)(10, 138)(11, 111)(12, 140)(13, 113)(14, 131)(15, 136)(16, 148)(17, 151)(18, 153)(19, 114)(20, 144)(21, 145)(22, 115)(23, 122)(24, 149)(25, 137)(26, 146)(27, 117)(28, 123)(29, 133)(30, 118)(31, 157)(32, 120)(33, 150)(34, 160)(35, 162)(36, 128)(37, 129)(38, 134)(39, 155)(40, 124)(41, 132)(42, 141)(43, 125)(44, 159)(45, 126)(46, 158)(47, 147)(48, 161)(49, 139)(50, 154)(51, 152)(52, 142)(53, 156)(54, 143)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1190
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 6^36 ]

E19.1180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^3, Y1^3, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, (R * Y2 * Y3)^2, (Y1 * Y2^-1)^3, (Y1^-1 * Y2^-1)^3, (Y2 * Y3 * Y2^-1 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 10, 64, 12, 66)(4, 58, 13, 67, 8, 62)(6, 60, 18, 72, 20, 74)(7, 61, 21, 75, 23, 77)(9, 63, 26, 80, 28, 82)(11, 65, 31, 85, 24, 78)(14, 68, 37, 91, 39, 93)(15, 69, 40, 94, 42, 96)(16, 70, 38, 92, 43, 97)(17, 71, 41, 95, 29, 83)(19, 73, 45, 99, 25, 79)(22, 76, 47, 101, 35, 89)(27, 81, 32, 86, 36, 90)(30, 84, 48, 102, 52, 106)(33, 87, 54, 108, 49, 103)(34, 88, 50, 104, 44, 98)(46, 100, 53, 107, 51, 105)(109, 163, 111, 165, 114, 168)(110, 164, 115, 169, 117, 171)(112, 166, 122, 176, 123, 177)(113, 167, 124, 178, 125, 179)(116, 170, 132, 186, 133, 187)(118, 172, 137, 191, 138, 192)(119, 173, 140, 194, 141, 195)(120, 174, 134, 188, 142, 196)(121, 175, 143, 197, 144, 198)(126, 180, 152, 206, 151, 205)(127, 181, 154, 208, 155, 209)(128, 182, 156, 210, 129, 183)(130, 184, 150, 204, 157, 211)(131, 185, 149, 203, 158, 212)(135, 189, 159, 213, 147, 201)(136, 190, 160, 214, 146, 200)(139, 193, 148, 202, 161, 215)(145, 199, 153, 207, 162, 216)
	L = (1, 112)(2, 116)(3, 119)(4, 109)(5, 121)(6, 127)(7, 130)(8, 110)(9, 135)(10, 132)(11, 111)(12, 139)(13, 113)(14, 146)(15, 149)(16, 145)(17, 148)(18, 133)(19, 114)(20, 153)(21, 143)(22, 115)(23, 155)(24, 118)(25, 126)(26, 144)(27, 117)(28, 140)(29, 150)(30, 159)(31, 120)(32, 136)(33, 158)(34, 162)(35, 129)(36, 134)(37, 124)(38, 122)(39, 151)(40, 125)(41, 123)(42, 137)(43, 147)(44, 157)(45, 128)(46, 160)(47, 131)(48, 161)(49, 152)(50, 141)(51, 138)(52, 154)(53, 156)(54, 142)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1189
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 6^36 ]

E19.1181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 8>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, Y2^3, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y2, (Y3 * Y2 * Y1^-1)^2, (Y1^-1 * Y2^-1)^3, (Y2 * Y1^-1)^3, (R * Y2 * Y3)^2, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 10, 64, 12, 66)(4, 58, 13, 67, 8, 62)(6, 60, 18, 72, 20, 74)(7, 61, 21, 75, 23, 77)(9, 63, 26, 80, 28, 82)(11, 65, 32, 86, 30, 84)(14, 68, 37, 91, 27, 81)(15, 69, 38, 92, 22, 76)(16, 70, 39, 93, 41, 95)(17, 71, 42, 96, 29, 83)(19, 73, 36, 90, 45, 99)(24, 78, 34, 88, 43, 97)(25, 79, 46, 100, 40, 94)(31, 85, 48, 102, 52, 106)(33, 87, 53, 107, 49, 103)(35, 89, 50, 104, 44, 98)(47, 101, 54, 108, 51, 105)(109, 163, 111, 165, 114, 168)(110, 164, 115, 169, 117, 171)(112, 166, 122, 176, 123, 177)(113, 167, 124, 178, 125, 179)(116, 170, 132, 186, 133, 187)(118, 172, 137, 191, 139, 193)(119, 173, 141, 195, 142, 196)(120, 174, 134, 188, 143, 197)(121, 175, 144, 198, 140, 194)(126, 180, 152, 206, 149, 203)(127, 181, 154, 208, 155, 209)(128, 182, 156, 210, 129, 183)(130, 184, 157, 211, 153, 207)(131, 185, 150, 204, 158, 212)(135, 189, 138, 192, 159, 213)(136, 190, 160, 214, 147, 201)(145, 199, 148, 202, 161, 215)(146, 200, 162, 216, 151, 205)
	L = (1, 112)(2, 116)(3, 119)(4, 109)(5, 121)(6, 127)(7, 130)(8, 110)(9, 135)(10, 138)(11, 111)(12, 140)(13, 113)(14, 136)(15, 131)(16, 148)(17, 151)(18, 153)(19, 114)(20, 144)(21, 146)(22, 115)(23, 123)(24, 137)(25, 149)(26, 145)(27, 117)(28, 122)(29, 132)(30, 118)(31, 157)(32, 120)(33, 160)(34, 150)(35, 162)(36, 128)(37, 134)(38, 129)(39, 154)(40, 124)(41, 133)(42, 142)(43, 125)(44, 159)(45, 126)(46, 147)(47, 158)(48, 161)(49, 139)(50, 155)(51, 152)(52, 141)(53, 156)(54, 143)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1194
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 6^36 ]

E19.1182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y2^-1 * Y3^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2 * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y2 * Y1^-1)^3, Y3 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 15, 69, 16, 70)(6, 60, 20, 74, 21, 75)(7, 61, 22, 76, 9, 63)(8, 62, 23, 77, 25, 79)(10, 64, 26, 80, 27, 81)(11, 65, 28, 82, 18, 72)(13, 67, 32, 86, 33, 87)(17, 71, 38, 92, 39, 93)(19, 73, 40, 94, 29, 83)(24, 78, 46, 100, 47, 101)(30, 84, 43, 97, 50, 104)(31, 85, 51, 105, 34, 88)(35, 89, 49, 103, 41, 95)(36, 90, 53, 107, 54, 108)(37, 91, 48, 102, 45, 99)(42, 96, 52, 106, 44, 98)(109, 163, 111, 165, 114, 168)(110, 164, 116, 170, 118, 172)(112, 166, 121, 175, 115, 169)(113, 167, 125, 179, 127, 181)(117, 171, 132, 186, 119, 173)(120, 174, 137, 191, 138, 192)(122, 176, 134, 188, 143, 197)(123, 177, 126, 180, 144, 198)(124, 178, 145, 199, 139, 193)(128, 182, 149, 203, 147, 201)(129, 183, 151, 205, 131, 185)(130, 184, 152, 206, 153, 207)(133, 187, 148, 202, 157, 211)(135, 189, 158, 212, 146, 200)(136, 190, 159, 213, 160, 214)(140, 194, 142, 196, 155, 209)(141, 195, 161, 215, 150, 204)(154, 208, 156, 210, 162, 216)
	L = (1, 112)(2, 117)(3, 121)(4, 111)(5, 126)(6, 115)(7, 109)(8, 132)(9, 116)(10, 119)(11, 110)(12, 124)(13, 114)(14, 142)(15, 113)(16, 137)(17, 144)(18, 125)(19, 123)(20, 141)(21, 152)(22, 129)(23, 130)(24, 118)(25, 156)(26, 155)(27, 159)(28, 135)(29, 145)(30, 139)(31, 120)(32, 122)(33, 149)(34, 134)(35, 140)(36, 127)(37, 138)(38, 136)(39, 150)(40, 162)(41, 161)(42, 128)(43, 153)(44, 151)(45, 131)(46, 133)(47, 143)(48, 148)(49, 154)(50, 160)(51, 158)(52, 146)(53, 147)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1193
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 6^36 ]

E19.1183 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^2 * Y2 * Y3^-2, Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y1, Y2 * Y1 * Y2 * Y3^2 * Y1^-1, (Y3^-1 * Y2 * Y1)^2, Y3^3 * Y2^-1 * Y3 * Y2^-1, (Y1 * Y2^-1)^3, Y2 * Y1^-1 * R * Y3^2 * Y1^-1 * R ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 16, 70, 19, 73)(6, 60, 24, 78, 26, 80)(7, 61, 27, 81, 9, 63)(8, 62, 30, 84, 18, 72)(10, 64, 35, 89, 29, 83)(11, 65, 13, 67, 22, 76)(15, 69, 43, 97, 32, 86)(17, 71, 47, 101, 34, 88)(20, 74, 50, 104, 31, 85)(21, 75, 48, 102, 33, 87)(23, 77, 40, 94, 38, 92)(25, 79, 41, 95, 37, 91)(28, 82, 51, 105, 54, 108)(36, 90, 44, 98, 46, 100)(39, 93, 53, 107, 45, 99)(42, 96, 49, 103, 52, 106)(109, 163, 111, 165, 114, 168)(110, 164, 116, 170, 118, 172)(112, 166, 125, 179, 128, 182)(113, 167, 129, 183, 131, 185)(115, 169, 136, 190, 121, 175)(117, 171, 140, 194, 142, 196)(119, 173, 145, 199, 127, 181)(120, 174, 146, 200, 147, 201)(122, 176, 143, 197, 150, 204)(123, 177, 152, 206, 133, 187)(124, 178, 154, 208, 135, 189)(126, 180, 148, 202, 157, 211)(130, 184, 158, 212, 151, 205)(132, 186, 160, 214, 141, 195)(134, 188, 161, 215, 138, 192)(137, 191, 153, 207, 156, 210)(139, 193, 162, 216, 144, 198)(149, 203, 159, 213, 155, 209)
	L = (1, 112)(2, 117)(3, 121)(4, 126)(5, 130)(6, 133)(7, 109)(8, 127)(9, 141)(10, 144)(11, 110)(12, 140)(13, 148)(14, 149)(15, 111)(16, 113)(17, 114)(18, 152)(19, 132)(20, 153)(21, 135)(22, 122)(23, 159)(24, 142)(25, 157)(26, 124)(27, 143)(28, 156)(29, 115)(30, 158)(31, 116)(32, 118)(33, 162)(34, 147)(35, 151)(36, 160)(37, 120)(38, 119)(39, 139)(40, 128)(41, 134)(42, 154)(43, 161)(44, 137)(45, 123)(46, 138)(47, 129)(48, 125)(49, 136)(50, 131)(51, 150)(52, 145)(53, 155)(54, 146)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1191
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 6^36 ]

E19.1184 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (Y3 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, (R * Y1)^2, Y1 * Y3^2 * Y1^-1 * Y2^-1, Y1 * Y3^-1 * Y1 * Y3 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y3^-2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2^-1 * Y1^-1)^2, (Y1^-1 * R * Y2^-1)^2, Y2 * Y3^-1 * Y2 * Y3^-3, (Y1^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 16, 70, 19, 73)(6, 60, 24, 78, 26, 80)(7, 61, 27, 81, 9, 63)(8, 62, 30, 84, 32, 86)(10, 64, 35, 89, 37, 91)(11, 65, 17, 71, 22, 76)(13, 67, 42, 96, 36, 90)(15, 69, 44, 98, 40, 94)(18, 72, 48, 102, 21, 75)(20, 74, 50, 104, 33, 87)(23, 77, 29, 83, 39, 93)(25, 79, 47, 101, 38, 92)(28, 82, 52, 106, 31, 85)(34, 88, 45, 99, 51, 105)(41, 95, 54, 108, 49, 103)(43, 97, 46, 100, 53, 107)(109, 163, 111, 165, 114, 168)(110, 164, 116, 170, 118, 172)(112, 166, 125, 179, 128, 182)(113, 167, 129, 183, 131, 185)(115, 169, 136, 190, 121, 175)(117, 171, 127, 181, 142, 196)(119, 173, 146, 200, 139, 193)(120, 174, 147, 201, 149, 203)(122, 176, 143, 197, 151, 205)(123, 177, 153, 207, 133, 187)(124, 178, 150, 204, 155, 209)(126, 180, 145, 199, 157, 211)(130, 184, 135, 189, 152, 206)(132, 186, 161, 215, 156, 210)(134, 188, 162, 216, 138, 192)(137, 191, 154, 208, 140, 194)(141, 195, 148, 202, 144, 198)(158, 212, 160, 214, 159, 213)
	L = (1, 112)(2, 117)(3, 121)(4, 126)(5, 130)(6, 133)(7, 109)(8, 139)(9, 120)(10, 144)(11, 110)(12, 148)(13, 145)(14, 135)(15, 111)(16, 113)(17, 114)(18, 153)(19, 118)(20, 154)(21, 155)(22, 138)(23, 160)(24, 119)(25, 157)(26, 152)(27, 131)(28, 140)(29, 115)(30, 158)(31, 147)(32, 125)(33, 116)(34, 161)(35, 124)(36, 149)(37, 128)(38, 156)(39, 142)(40, 132)(41, 146)(42, 122)(43, 159)(44, 151)(45, 137)(46, 123)(47, 134)(48, 127)(49, 136)(50, 143)(51, 129)(52, 162)(53, 141)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1192
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 6^36 ]

E19.1185 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 8>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y3 * Y2 * Y3^-1 * Y2, (Y1^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * R * Y2^-1 * R, Y3^-1 * Y2 * Y3 * Y2, Y3 * Y1^-1 * Y3^-3 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3^3, (Y3 * Y2^-1 * Y1^-1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1, (Y2 * Y1^-1)^3, (Y2^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 16, 70, 19, 73)(6, 60, 23, 77, 24, 78)(7, 61, 26, 80, 9, 63)(8, 62, 28, 82, 30, 84)(10, 64, 34, 88, 35, 89)(11, 65, 37, 91, 21, 75)(13, 67, 41, 95, 31, 85)(15, 69, 45, 99, 40, 94)(17, 71, 47, 101, 32, 86)(18, 72, 33, 87, 48, 102)(20, 74, 42, 96, 50, 104)(22, 76, 51, 105, 39, 93)(25, 79, 46, 100, 36, 90)(27, 81, 38, 92, 44, 98)(29, 83, 53, 107, 43, 97)(49, 103, 54, 108, 52, 106)(109, 163, 111, 165, 114, 168)(110, 164, 116, 170, 118, 172)(112, 166, 125, 179, 121, 175)(113, 167, 128, 182, 130, 184)(115, 169, 133, 187, 123, 177)(117, 171, 140, 194, 137, 191)(119, 173, 144, 198, 139, 193)(120, 174, 147, 201, 141, 195)(122, 176, 142, 196, 152, 206)(124, 178, 154, 208, 151, 205)(126, 180, 150, 204, 143, 197)(127, 181, 157, 211, 148, 202)(129, 183, 155, 209, 153, 207)(131, 185, 146, 200, 158, 212)(132, 186, 156, 210, 136, 190)(134, 188, 160, 214, 149, 203)(135, 189, 138, 192, 159, 213)(145, 199, 162, 216, 161, 215)
	L = (1, 112)(2, 117)(3, 121)(4, 126)(5, 129)(6, 125)(7, 109)(8, 137)(9, 141)(10, 140)(11, 110)(12, 148)(13, 150)(14, 151)(15, 111)(16, 113)(17, 143)(18, 145)(19, 146)(20, 153)(21, 156)(22, 155)(23, 144)(24, 160)(25, 114)(26, 152)(27, 115)(28, 149)(29, 120)(30, 123)(31, 116)(32, 147)(33, 127)(34, 154)(35, 162)(36, 118)(37, 135)(38, 119)(39, 157)(40, 158)(41, 122)(42, 161)(43, 128)(44, 124)(45, 136)(46, 130)(47, 132)(48, 134)(49, 131)(50, 139)(51, 133)(52, 142)(53, 138)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1195
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 6^36 ]

E19.1186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2 * Y1^2 * Y3 * Y1^-2, (Y3 * Y1^-1)^3, Y2 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y1^6, (Y3 * Y2)^3, (Y1^-1 * Y2)^3, Y3 * Y1^-3 * Y3 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 6, 60, 18, 72, 17, 71, 5, 59)(3, 57, 9, 63, 20, 74, 44, 98, 32, 86, 11, 65)(4, 58, 12, 66, 33, 87, 48, 102, 36, 90, 14, 68)(7, 61, 21, 75, 40, 94, 28, 82, 49, 103, 23, 77)(8, 62, 24, 78, 50, 104, 27, 81, 15, 69, 26, 80)(10, 64, 25, 79, 42, 96, 54, 108, 51, 105, 30, 84)(13, 67, 22, 76, 45, 99, 53, 107, 52, 106, 35, 89)(16, 70, 37, 91, 47, 101, 31, 85, 39, 93, 34, 88)(19, 73, 41, 95, 38, 92, 46, 100, 29, 83, 43, 97)(109, 163, 111, 165)(110, 164, 115, 169)(112, 166, 121, 175)(113, 167, 123, 177)(114, 168, 127, 181)(116, 170, 133, 187)(117, 171, 135, 189)(118, 172, 137, 191)(119, 173, 129, 183)(120, 174, 136, 190)(122, 176, 139, 193)(124, 178, 138, 192)(125, 179, 144, 198)(126, 180, 147, 201)(128, 182, 153, 207)(130, 184, 155, 209)(131, 185, 149, 203)(132, 186, 154, 208)(134, 188, 156, 210)(140, 194, 159, 213)(141, 195, 150, 204)(142, 196, 151, 205)(143, 197, 157, 211)(145, 199, 152, 206)(146, 200, 160, 214)(148, 202, 162, 216)(158, 212, 161, 215)
	L = (1, 112)(2, 116)(3, 118)(4, 109)(5, 124)(6, 128)(7, 130)(8, 110)(9, 136)(10, 111)(11, 139)(12, 142)(13, 137)(14, 132)(15, 143)(16, 113)(17, 146)(18, 148)(19, 150)(20, 114)(21, 154)(22, 115)(23, 156)(24, 122)(25, 155)(26, 152)(27, 151)(28, 117)(29, 121)(30, 157)(31, 119)(32, 160)(33, 153)(34, 120)(35, 123)(36, 159)(37, 149)(38, 125)(39, 161)(40, 126)(41, 145)(42, 127)(43, 135)(44, 134)(45, 141)(46, 129)(47, 133)(48, 131)(49, 138)(50, 162)(51, 144)(52, 140)(53, 147)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1177
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1187 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y1^-1)^3, Y2 * Y3 * Y1 * Y2 * Y3 * Y1^-1, (Y2 * Y1^-1)^3, (Y3 * Y2)^3, Y1^6, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 6, 60, 18, 72, 17, 71, 5, 59)(3, 57, 9, 63, 27, 81, 49, 103, 33, 87, 11, 65)(4, 58, 12, 66, 19, 73, 41, 95, 36, 90, 14, 68)(7, 61, 21, 75, 46, 100, 34, 88, 16, 70, 23, 77)(8, 62, 24, 78, 39, 93, 29, 83, 50, 104, 26, 80)(10, 64, 25, 79, 42, 96, 54, 108, 51, 105, 31, 85)(13, 67, 22, 76, 44, 98, 53, 107, 52, 106, 35, 89)(15, 69, 37, 91, 48, 102, 32, 86, 40, 94, 28, 82)(20, 74, 43, 97, 38, 92, 47, 101, 30, 84, 45, 99)(109, 163, 111, 165)(110, 164, 115, 169)(112, 166, 121, 175)(113, 167, 123, 177)(114, 168, 127, 181)(116, 170, 133, 187)(117, 171, 136, 190)(118, 172, 138, 192)(119, 173, 129, 183)(120, 174, 137, 191)(122, 176, 140, 194)(124, 178, 139, 193)(125, 179, 146, 200)(126, 180, 147, 201)(128, 182, 152, 206)(130, 184, 156, 210)(131, 185, 149, 203)(132, 186, 155, 209)(134, 188, 157, 211)(135, 189, 150, 204)(141, 195, 160, 214)(142, 196, 153, 207)(143, 197, 158, 212)(144, 198, 159, 213)(145, 199, 151, 205)(148, 202, 162, 216)(154, 208, 161, 215)
	L = (1, 112)(2, 116)(3, 118)(4, 109)(5, 124)(6, 128)(7, 130)(8, 110)(9, 137)(10, 111)(11, 140)(12, 142)(13, 138)(14, 132)(15, 143)(16, 113)(17, 141)(18, 148)(19, 150)(20, 114)(21, 155)(22, 115)(23, 157)(24, 122)(25, 156)(26, 151)(27, 152)(28, 153)(29, 117)(30, 121)(31, 158)(32, 119)(33, 125)(34, 120)(35, 123)(36, 160)(37, 149)(38, 159)(39, 161)(40, 126)(41, 145)(42, 127)(43, 134)(44, 135)(45, 136)(46, 162)(47, 129)(48, 133)(49, 131)(50, 139)(51, 146)(52, 144)(53, 147)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1176
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1188 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^-2 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y2 * Y1)^3, (Y3 * Y2)^3, Y2 * R * Y1^-2 * Y2 * Y1^-2 * R * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 6, 60, 4, 58, 8, 62, 5, 59)(3, 57, 9, 63, 19, 73, 10, 64, 21, 75, 11, 65)(7, 61, 15, 69, 30, 84, 16, 70, 31, 85, 17, 71)(12, 66, 23, 77, 40, 94, 22, 76, 39, 93, 24, 78)(13, 67, 25, 79, 36, 90, 26, 80, 37, 91, 20, 74)(14, 68, 27, 81, 41, 95, 28, 82, 42, 96, 29, 83)(18, 72, 33, 87, 46, 100, 32, 86, 45, 99, 34, 88)(35, 89, 47, 101, 51, 105, 44, 98, 54, 108, 48, 102)(38, 92, 50, 104, 52, 106, 49, 103, 53, 107, 43, 97)(109, 163, 111, 165)(110, 164, 115, 169)(112, 166, 120, 174)(113, 167, 121, 175)(114, 168, 122, 176)(116, 170, 126, 180)(117, 171, 128, 182)(118, 172, 130, 184)(119, 173, 123, 177)(124, 178, 140, 194)(125, 179, 135, 189)(127, 181, 143, 197)(129, 183, 146, 200)(131, 185, 137, 191)(132, 186, 141, 195)(133, 187, 142, 196)(134, 188, 136, 190)(138, 192, 151, 205)(139, 193, 152, 206)(144, 198, 157, 211)(145, 199, 155, 209)(147, 201, 156, 210)(148, 202, 158, 212)(149, 203, 159, 213)(150, 204, 160, 214)(153, 207, 161, 215)(154, 208, 162, 216)
	L = (1, 112)(2, 116)(3, 118)(4, 109)(5, 114)(6, 113)(7, 124)(8, 110)(9, 129)(10, 111)(11, 127)(12, 130)(13, 134)(14, 136)(15, 139)(16, 115)(17, 138)(18, 140)(19, 119)(20, 144)(21, 117)(22, 120)(23, 147)(24, 148)(25, 145)(26, 121)(27, 150)(28, 122)(29, 149)(30, 125)(31, 123)(32, 126)(33, 153)(34, 154)(35, 152)(36, 128)(37, 133)(38, 157)(39, 131)(40, 132)(41, 137)(42, 135)(43, 160)(44, 143)(45, 141)(46, 142)(47, 162)(48, 159)(49, 146)(50, 161)(51, 156)(52, 151)(53, 158)(54, 155)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1178
Graph:: bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1189 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y3, (Y2 * Y1^-1)^3, (R * Y2 * Y3)^2, Y3 * Y1^2 * Y3 * Y1^-2, Y2 * Y1^-1 * Y3 * Y2 * Y1^-2, (Y3 * Y1^-1)^3, Y1^6, (Y3 * Y2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 6, 60, 18, 72, 17, 71, 5, 59)(3, 57, 9, 63, 27, 81, 45, 99, 31, 85, 11, 65)(4, 58, 12, 66, 20, 74, 40, 94, 34, 88, 14, 68)(7, 61, 21, 75, 13, 67, 33, 87, 43, 97, 23, 77)(8, 62, 24, 78, 37, 91, 32, 86, 16, 70, 26, 80)(10, 64, 28, 82, 46, 100, 51, 105, 48, 102, 30, 84)(15, 69, 29, 83, 47, 101, 54, 108, 42, 96, 22, 76)(19, 73, 38, 92, 25, 79, 44, 98, 52, 106, 39, 93)(35, 89, 36, 90, 50, 104, 41, 95, 53, 107, 49, 103)(109, 163, 111, 165)(110, 164, 115, 169)(112, 166, 121, 175)(113, 167, 123, 177)(114, 168, 127, 181)(116, 170, 133, 187)(117, 171, 130, 184)(118, 172, 137, 191)(119, 173, 129, 183)(120, 174, 139, 193)(122, 176, 138, 192)(124, 178, 135, 189)(125, 179, 136, 190)(126, 180, 144, 198)(128, 182, 149, 203)(131, 185, 146, 200)(132, 186, 151, 205)(134, 188, 150, 204)(140, 194, 157, 211)(141, 195, 156, 210)(142, 196, 155, 209)(143, 197, 154, 208)(145, 199, 159, 213)(147, 201, 158, 212)(148, 202, 160, 214)(152, 206, 162, 216)(153, 207, 161, 215)
	L = (1, 112)(2, 116)(3, 118)(4, 109)(5, 124)(6, 128)(7, 130)(8, 110)(9, 133)(10, 111)(11, 127)(12, 140)(13, 137)(14, 132)(15, 143)(16, 113)(17, 142)(18, 145)(19, 119)(20, 114)(21, 149)(22, 115)(23, 144)(24, 122)(25, 117)(26, 148)(27, 154)(28, 147)(29, 121)(30, 152)(31, 156)(32, 120)(33, 157)(34, 125)(35, 123)(36, 131)(37, 126)(38, 159)(39, 136)(40, 134)(41, 129)(42, 161)(43, 162)(44, 138)(45, 160)(46, 135)(47, 158)(48, 139)(49, 141)(50, 155)(51, 146)(52, 153)(53, 150)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1180
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3)^3, (Y1^-1 * R * Y2)^2, (R * Y2 * Y3)^2, Y1 * Y2 * Y1^-1 * Y2 * Y3 * Y2, (Y3 * Y1^-1)^3, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y2, (Y2 * Y1^-1)^3, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 6, 60, 18, 72, 17, 71, 5, 59)(3, 57, 9, 63, 27, 81, 44, 98, 25, 79, 11, 65)(4, 58, 12, 66, 20, 74, 40, 94, 34, 88, 14, 68)(7, 61, 21, 75, 42, 96, 53, 107, 41, 95, 23, 77)(8, 62, 24, 78, 37, 91, 32, 86, 16, 70, 26, 80)(10, 64, 30, 84, 45, 99, 51, 105, 39, 93, 19, 73)(13, 67, 28, 82, 15, 69, 35, 89, 49, 103, 33, 87)(22, 76, 43, 97, 54, 108, 46, 100, 50, 104, 36, 90)(29, 83, 38, 92, 52, 106, 48, 102, 31, 85, 47, 101)(109, 163, 111, 165)(110, 164, 115, 169)(112, 166, 121, 175)(113, 167, 123, 177)(114, 168, 127, 181)(116, 170, 133, 187)(117, 171, 136, 190)(118, 172, 131, 185)(119, 173, 129, 183)(120, 174, 138, 192)(122, 176, 135, 189)(124, 178, 139, 193)(125, 179, 137, 191)(126, 180, 144, 198)(128, 182, 149, 203)(130, 184, 147, 201)(132, 186, 151, 205)(134, 188, 150, 204)(140, 194, 157, 211)(141, 195, 153, 207)(142, 196, 154, 208)(143, 197, 155, 209)(145, 199, 159, 213)(146, 200, 158, 212)(148, 202, 160, 214)(152, 206, 162, 216)(156, 210, 161, 215)
	L = (1, 112)(2, 116)(3, 118)(4, 109)(5, 124)(6, 128)(7, 130)(8, 110)(9, 137)(10, 111)(11, 139)(12, 140)(13, 131)(14, 132)(15, 129)(16, 113)(17, 142)(18, 145)(19, 146)(20, 114)(21, 123)(22, 115)(23, 121)(24, 122)(25, 147)(26, 148)(27, 153)(28, 154)(29, 117)(30, 156)(31, 119)(32, 120)(33, 151)(34, 125)(35, 144)(36, 143)(37, 126)(38, 127)(39, 133)(40, 134)(41, 158)(42, 162)(43, 141)(44, 160)(45, 135)(46, 136)(47, 159)(48, 138)(49, 161)(50, 149)(51, 155)(52, 152)(53, 157)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1179
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3 * Y2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3 * Y1^-1 * Y3^-2 * Y1^-1, (Y1^-1 * Y3^-1 * Y1^-1)^2, Y1^6, Y3 * Y1^-2 * Y2 * Y1^-2, (Y2 * Y1^-1)^3, Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y2, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y1^-1)^3, Y3^-2 * Y1^2 * Y3^2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 7, 61, 23, 77, 19, 73, 5, 59)(3, 57, 11, 65, 35, 89, 52, 106, 26, 80, 13, 67)(4, 58, 15, 69, 41, 95, 49, 103, 24, 78, 16, 70)(6, 60, 21, 75, 44, 98, 51, 105, 25, 79, 22, 76)(8, 62, 27, 81, 18, 72, 42, 96, 47, 101, 29, 83)(9, 63, 31, 85, 20, 74, 36, 90, 45, 99, 32, 86)(10, 64, 33, 87, 17, 71, 38, 92, 46, 100, 34, 88)(12, 66, 37, 91, 48, 102, 43, 97, 54, 108, 30, 84)(14, 68, 39, 93, 50, 104, 28, 82, 53, 107, 40, 94)(109, 163, 111, 165)(110, 164, 116, 170)(112, 166, 120, 174)(113, 167, 125, 179)(114, 168, 122, 176)(115, 169, 132, 186)(117, 171, 136, 190)(118, 172, 138, 192)(119, 173, 141, 195)(121, 175, 135, 189)(123, 177, 142, 196)(124, 178, 137, 191)(126, 180, 147, 201)(127, 181, 152, 206)(128, 182, 151, 205)(129, 183, 146, 200)(130, 184, 150, 204)(131, 185, 153, 207)(133, 187, 156, 210)(134, 188, 158, 212)(139, 193, 160, 214)(140, 194, 157, 211)(143, 197, 162, 216)(144, 198, 159, 213)(145, 199, 155, 209)(148, 202, 154, 208)(149, 203, 161, 215)
	L = (1, 112)(2, 117)(3, 120)(4, 122)(5, 126)(6, 109)(7, 133)(8, 136)(9, 138)(10, 110)(11, 144)(12, 114)(13, 146)(14, 111)(15, 139)(16, 141)(17, 147)(18, 151)(19, 143)(20, 113)(21, 140)(22, 142)(23, 154)(24, 156)(25, 158)(26, 115)(27, 129)(28, 118)(29, 119)(30, 116)(31, 130)(32, 121)(33, 159)(34, 160)(35, 161)(36, 124)(37, 153)(38, 157)(39, 128)(40, 155)(41, 127)(42, 123)(43, 125)(44, 162)(45, 148)(46, 145)(47, 131)(48, 134)(49, 135)(50, 132)(51, 137)(52, 150)(53, 152)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1183
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1192 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y2 * Y1^-2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^3, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1, Y3 * Y1^-2 * Y2 * Y3 * Y2, Y3 * Y2 * Y3^-2 * Y2 * Y3, Y1^-1 * R * Y2 * R * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 7, 61, 23, 77, 12, 66, 5, 59)(3, 57, 11, 65, 35, 89, 17, 71, 4, 58, 13, 67)(6, 60, 20, 74, 41, 95, 47, 101, 24, 78, 21, 75)(8, 62, 26, 80, 51, 105, 31, 85, 9, 63, 27, 81)(10, 64, 32, 86, 53, 107, 38, 92, 45, 99, 33, 87)(14, 68, 30, 84, 22, 76, 29, 83, 50, 104, 40, 94)(15, 69, 34, 88, 46, 100, 43, 97, 16, 70, 28, 82)(18, 72, 44, 98, 54, 108, 37, 91, 19, 73, 36, 90)(25, 79, 48, 102, 42, 96, 52, 106, 39, 93, 49, 103)(109, 163, 111, 165)(110, 164, 116, 170)(112, 166, 123, 177)(113, 167, 126, 180)(114, 168, 115, 169)(117, 171, 137, 191)(118, 172, 131, 185)(119, 173, 144, 198)(120, 174, 133, 187)(121, 175, 134, 188)(122, 176, 143, 197)(124, 178, 147, 201)(125, 179, 146, 200)(127, 181, 138, 192)(128, 182, 135, 189)(129, 183, 140, 194)(130, 184, 149, 203)(132, 186, 154, 208)(136, 190, 159, 213)(139, 193, 160, 214)(141, 195, 156, 210)(142, 196, 161, 215)(145, 199, 155, 209)(148, 202, 153, 207)(150, 204, 158, 212)(151, 205, 162, 216)(152, 206, 157, 211)
	L = (1, 112)(2, 117)(3, 120)(4, 124)(5, 127)(6, 109)(7, 132)(8, 113)(9, 138)(10, 110)(11, 145)(12, 147)(13, 135)(14, 111)(15, 143)(16, 150)(17, 140)(18, 131)(19, 148)(20, 139)(21, 141)(22, 114)(23, 153)(24, 123)(25, 115)(26, 125)(27, 129)(28, 116)(29, 159)(30, 162)(31, 156)(32, 155)(33, 157)(34, 118)(35, 158)(36, 121)(37, 128)(38, 119)(39, 154)(40, 161)(41, 122)(42, 130)(43, 126)(44, 160)(45, 137)(46, 149)(47, 152)(48, 146)(49, 144)(50, 133)(51, 151)(52, 134)(53, 136)(54, 142)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1184
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^2 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y3 * Y2 * Y3 * Y2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3)^3, Y3 * Y1^-2 * Y3^-2 * Y2, Y3 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^6, Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 23, 77, 15, 69, 5, 59)(3, 57, 11, 65, 6, 60, 20, 74, 35, 89, 13, 67)(4, 58, 14, 68, 38, 92, 53, 107, 36, 90, 17, 71)(8, 62, 26, 80, 10, 64, 32, 86, 51, 105, 28, 82)(9, 63, 29, 83, 19, 73, 43, 97, 52, 106, 31, 85)(12, 66, 34, 88, 47, 101, 42, 96, 16, 70, 33, 87)(18, 72, 40, 94, 45, 99, 37, 91, 54, 108, 39, 93)(21, 75, 30, 84, 22, 76, 27, 81, 50, 104, 44, 98)(24, 78, 46, 100, 25, 79, 49, 103, 41, 95, 48, 102)(109, 163, 111, 165)(110, 164, 116, 170)(112, 166, 123, 177)(113, 167, 117, 171)(114, 168, 129, 183)(115, 169, 132, 186)(118, 172, 141, 195)(119, 173, 139, 193)(120, 174, 143, 197)(121, 175, 134, 188)(122, 176, 147, 201)(124, 178, 144, 198)(125, 179, 137, 191)(126, 180, 131, 185)(127, 181, 150, 204)(128, 182, 145, 199)(130, 184, 133, 187)(135, 189, 159, 213)(136, 190, 154, 208)(138, 192, 160, 214)(140, 194, 161, 215)(142, 196, 153, 207)(146, 200, 158, 212)(148, 202, 156, 210)(149, 203, 155, 209)(151, 205, 157, 211)(152, 206, 162, 216)
	L = (1, 112)(2, 117)(3, 120)(4, 124)(5, 126)(6, 109)(7, 111)(8, 135)(9, 138)(10, 110)(11, 134)(12, 144)(13, 145)(14, 137)(15, 132)(16, 149)(17, 140)(18, 152)(19, 113)(20, 139)(21, 146)(22, 114)(23, 116)(24, 155)(25, 115)(26, 154)(27, 160)(28, 161)(29, 119)(30, 162)(31, 157)(32, 121)(33, 127)(34, 118)(35, 129)(36, 158)(37, 156)(38, 123)(39, 128)(40, 122)(41, 130)(42, 153)(43, 125)(44, 159)(45, 131)(46, 148)(47, 143)(48, 151)(49, 136)(50, 133)(51, 141)(52, 150)(53, 147)(54, 142)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1182
Graph:: bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 8>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y1 * Y2)^2, (Y3 * Y2)^3, (Y3 * Y1^-1)^3, Y1^6, (Y2 * Y1^-1)^3, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y2 * Y1^2 * Y2 * Y1^-2, Y1 * Y2 * R * Y3 * Y1^-1 * Y2 * R * Y2, Y2 * Y3 * Y1^-1 * Y2 * Y1^-2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 6, 60, 18, 72, 17, 71, 5, 59)(3, 57, 9, 63, 19, 73, 41, 95, 33, 87, 11, 65)(4, 58, 12, 66, 20, 74, 43, 97, 37, 91, 14, 68)(7, 61, 21, 75, 39, 93, 27, 81, 15, 69, 23, 77)(8, 62, 24, 78, 40, 94, 34, 88, 16, 70, 26, 80)(10, 64, 29, 83, 42, 96, 25, 79, 49, 103, 31, 85)(13, 67, 35, 89, 44, 98, 38, 92, 47, 101, 22, 76)(28, 82, 51, 105, 36, 90, 52, 106, 32, 86, 46, 100)(30, 84, 48, 102, 53, 107, 45, 99, 54, 108, 50, 104)(109, 163, 111, 165)(110, 164, 115, 169)(112, 166, 121, 175)(113, 167, 123, 177)(114, 168, 127, 181)(116, 170, 133, 187)(117, 171, 135, 189)(118, 172, 138, 192)(119, 173, 129, 183)(120, 174, 140, 194)(122, 176, 144, 198)(124, 178, 137, 191)(125, 179, 141, 195)(126, 180, 147, 201)(128, 182, 152, 206)(130, 184, 154, 208)(131, 185, 149, 203)(132, 186, 156, 210)(134, 188, 158, 212)(136, 190, 151, 205)(139, 193, 148, 202)(142, 196, 153, 207)(143, 197, 159, 213)(145, 199, 155, 209)(146, 200, 160, 214)(150, 204, 161, 215)(157, 211, 162, 216)
	L = (1, 112)(2, 116)(3, 118)(4, 109)(5, 124)(6, 128)(7, 130)(8, 110)(9, 136)(10, 111)(11, 140)(12, 142)(13, 138)(14, 132)(15, 146)(16, 113)(17, 145)(18, 148)(19, 150)(20, 114)(21, 153)(22, 115)(23, 156)(24, 122)(25, 154)(26, 151)(27, 158)(28, 117)(29, 160)(30, 121)(31, 159)(32, 119)(33, 157)(34, 120)(35, 147)(36, 149)(37, 125)(38, 123)(39, 143)(40, 126)(41, 144)(42, 127)(43, 134)(44, 161)(45, 129)(46, 133)(47, 162)(48, 131)(49, 141)(50, 135)(51, 139)(52, 137)(53, 152)(54, 155)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1181
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 8>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-1 * Y1^-2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1^4, (R * Y2 * Y3^-1)^2, Y2 * Y3^-2 * Y2 * Y1^-2, (Y3 * Y1)^3, (Y3 * Y2)^3, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1, (Y2 * Y1^-1)^3, (Y3 * Y2 * Y1^-1)^2, (Y3 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 7, 61, 23, 77, 17, 71, 5, 59)(3, 57, 11, 65, 24, 78, 46, 100, 39, 93, 13, 67)(4, 58, 15, 69, 6, 60, 21, 75, 25, 79, 18, 72)(8, 62, 26, 80, 45, 99, 35, 89, 19, 73, 28, 82)(9, 63, 30, 84, 10, 64, 33, 87, 20, 74, 32, 86)(12, 66, 34, 88, 14, 68, 41, 95, 47, 101, 31, 85)(16, 70, 43, 97, 22, 76, 27, 81, 48, 102, 29, 83)(36, 90, 51, 105, 37, 91, 53, 107, 40, 94, 54, 108)(38, 92, 49, 103, 42, 96, 50, 104, 44, 98, 52, 106)(109, 163, 111, 165)(110, 164, 116, 170)(112, 166, 124, 178)(113, 167, 127, 181)(114, 168, 130, 184)(115, 169, 132, 186)(117, 171, 139, 193)(118, 172, 142, 196)(119, 173, 143, 197)(120, 174, 146, 200)(121, 175, 134, 188)(122, 176, 150, 204)(123, 177, 145, 199)(125, 179, 147, 201)(126, 180, 144, 198)(128, 182, 149, 203)(129, 183, 148, 202)(131, 185, 153, 207)(133, 187, 156, 210)(135, 189, 159, 213)(136, 190, 154, 208)(137, 191, 161, 215)(138, 192, 158, 212)(140, 194, 157, 211)(141, 195, 160, 214)(151, 205, 162, 216)(152, 206, 155, 209)
	L = (1, 112)(2, 117)(3, 120)(4, 125)(5, 128)(6, 109)(7, 114)(8, 135)(9, 113)(10, 110)(11, 144)(12, 147)(13, 148)(14, 111)(15, 140)(16, 150)(17, 133)(18, 141)(19, 151)(20, 131)(21, 138)(22, 152)(23, 118)(24, 122)(25, 115)(26, 157)(27, 127)(28, 160)(29, 116)(30, 123)(31, 161)(32, 126)(33, 129)(34, 162)(35, 158)(36, 121)(37, 119)(38, 130)(39, 155)(40, 154)(41, 159)(42, 156)(43, 153)(44, 124)(45, 137)(46, 145)(47, 132)(48, 146)(49, 136)(50, 134)(51, 142)(52, 143)(53, 149)(54, 139)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1185
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y3^3, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2)^2, (R * Y2)^2, (Y1 * Y3^-1)^3, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, (Y1^-1 * Y3 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 13, 67)(4, 58, 15, 69, 16, 70)(6, 60, 21, 75, 22, 76)(7, 61, 23, 77, 24, 78)(8, 62, 25, 79, 26, 80)(9, 63, 28, 82, 29, 83)(10, 64, 30, 84, 31, 85)(11, 65, 32, 86, 33, 87)(14, 68, 40, 94, 27, 81)(17, 71, 41, 95, 42, 96)(18, 72, 43, 97, 44, 98)(19, 73, 37, 91, 45, 99)(20, 74, 46, 100, 36, 90)(34, 88, 51, 105, 49, 103)(35, 89, 50, 104, 52, 106)(38, 92, 47, 101, 53, 107)(39, 93, 54, 108, 48, 102)(109, 163, 111, 165, 115, 169, 122, 176, 112, 166, 114, 168)(110, 164, 116, 170, 119, 173, 135, 189, 117, 171, 118, 172)(113, 167, 125, 179, 128, 182, 148, 202, 126, 180, 127, 181)(120, 174, 140, 194, 143, 197, 124, 178, 139, 193, 142, 196)(121, 175, 144, 198, 147, 201, 123, 177, 145, 199, 146, 200)(129, 183, 155, 209, 134, 188, 132, 186, 156, 210, 136, 190)(130, 184, 157, 211, 149, 203, 131, 185, 158, 212, 152, 206)(133, 187, 154, 208, 160, 214, 137, 191, 153, 207, 159, 213)(138, 192, 161, 215, 150, 204, 141, 195, 162, 216, 151, 205)
	L = (1, 112)(2, 117)(3, 114)(4, 115)(5, 126)(6, 122)(7, 109)(8, 118)(9, 119)(10, 135)(11, 110)(12, 139)(13, 145)(14, 111)(15, 144)(16, 140)(17, 127)(18, 128)(19, 148)(20, 113)(21, 156)(22, 158)(23, 157)(24, 155)(25, 153)(26, 129)(27, 116)(28, 132)(29, 154)(30, 162)(31, 143)(32, 142)(33, 161)(34, 124)(35, 120)(36, 146)(37, 147)(38, 123)(39, 121)(40, 125)(41, 130)(42, 138)(43, 141)(44, 131)(45, 160)(46, 159)(47, 136)(48, 134)(49, 152)(50, 149)(51, 137)(52, 133)(53, 151)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1171
Graph:: bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2 * Y3 * Y2, (Y2 * Y1^-1)^2, (Y2 * Y1^-1)^2, (R * Y2^-1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^3, (Y1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 10, 64)(4, 58, 14, 68, 15, 69)(6, 60, 16, 70, 20, 74)(7, 61, 21, 75, 22, 76)(8, 62, 23, 77, 18, 72)(9, 63, 25, 79, 26, 80)(11, 65, 27, 81, 28, 82)(13, 67, 31, 85, 32, 86)(17, 71, 39, 93, 40, 94)(19, 73, 41, 95, 34, 88)(24, 78, 48, 102, 49, 103)(29, 83, 43, 97, 47, 101)(30, 84, 42, 96, 50, 104)(33, 87, 46, 100, 36, 90)(35, 89, 45, 99, 52, 106)(37, 91, 51, 105, 44, 98)(38, 92, 53, 107, 54, 108)(109, 163, 111, 165, 115, 169, 121, 175, 112, 166, 114, 168)(110, 164, 116, 170, 119, 173, 132, 186, 117, 171, 118, 172)(113, 167, 124, 178, 127, 181, 146, 200, 125, 179, 126, 180)(120, 174, 133, 187, 138, 192, 153, 207, 137, 191, 130, 184)(122, 176, 141, 195, 143, 197, 150, 204, 142, 196, 128, 182)(123, 177, 139, 193, 145, 199, 157, 211, 135, 189, 144, 198)(129, 183, 151, 205, 148, 202, 161, 215, 152, 206, 140, 194)(131, 185, 147, 201, 155, 209, 160, 214, 154, 208, 136, 190)(134, 188, 156, 210, 159, 213, 162, 216, 149, 203, 158, 212)
	L = (1, 112)(2, 117)(3, 114)(4, 115)(5, 125)(6, 121)(7, 109)(8, 118)(9, 119)(10, 132)(11, 110)(12, 137)(13, 111)(14, 142)(15, 135)(16, 126)(17, 127)(18, 146)(19, 113)(20, 150)(21, 152)(22, 153)(23, 154)(24, 116)(25, 130)(26, 149)(27, 145)(28, 160)(29, 138)(30, 120)(31, 144)(32, 161)(33, 128)(34, 143)(35, 122)(36, 157)(37, 123)(38, 124)(39, 136)(40, 129)(41, 159)(42, 141)(43, 140)(44, 148)(45, 133)(46, 155)(47, 131)(48, 158)(49, 139)(50, 162)(51, 134)(52, 147)(53, 151)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1172
Graph:: bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y3 * Y2, Y1^3, (Y1^-1 * Y2^-1)^2, (Y2 * R)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^3, (Y1 * Y3)^3, Y2 * Y1^-1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 13, 67)(4, 58, 15, 69, 16, 70)(6, 60, 20, 74, 8, 62)(7, 61, 21, 75, 22, 76)(9, 63, 24, 78, 25, 79)(10, 64, 26, 80, 17, 71)(11, 65, 27, 81, 28, 82)(14, 68, 33, 87, 34, 88)(18, 72, 40, 94, 30, 84)(19, 73, 41, 95, 35, 89)(23, 77, 46, 100, 47, 101)(29, 83, 53, 107, 54, 108)(31, 85, 48, 102, 44, 98)(32, 86, 51, 105, 42, 96)(36, 90, 50, 104, 38, 92)(37, 91, 45, 99, 52, 106)(39, 93, 49, 103, 43, 97)(109, 163, 111, 165, 115, 169, 122, 176, 112, 166, 114, 168)(110, 164, 116, 170, 119, 173, 131, 185, 117, 171, 118, 172)(113, 167, 125, 179, 127, 181, 137, 191, 126, 180, 120, 174)(121, 175, 138, 192, 140, 194, 151, 205, 139, 193, 129, 183)(123, 177, 142, 196, 145, 199, 161, 215, 143, 197, 144, 198)(124, 178, 146, 200, 147, 201, 150, 204, 135, 189, 128, 182)(130, 184, 152, 206, 132, 186, 155, 209, 153, 207, 141, 195)(133, 187, 156, 210, 157, 211, 158, 212, 149, 203, 134, 188)(136, 190, 159, 213, 148, 202, 162, 216, 160, 214, 154, 208)
	L = (1, 112)(2, 117)(3, 114)(4, 115)(5, 126)(6, 122)(7, 109)(8, 118)(9, 119)(10, 131)(11, 110)(12, 137)(13, 139)(14, 111)(15, 143)(16, 135)(17, 120)(18, 127)(19, 113)(20, 150)(21, 151)(22, 153)(23, 116)(24, 130)(25, 149)(26, 158)(27, 147)(28, 160)(29, 125)(30, 129)(31, 140)(32, 121)(33, 155)(34, 144)(35, 145)(36, 161)(37, 123)(38, 128)(39, 124)(40, 136)(41, 157)(42, 146)(43, 138)(44, 141)(45, 132)(46, 162)(47, 152)(48, 134)(49, 133)(50, 156)(51, 154)(52, 148)(53, 142)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1166
Graph:: bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1, Y2^6, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, R * Y3^-1 * Y1 * Y2^-1 * R * Y2^-1, (Y3^-1 * Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 10, 64)(4, 58, 16, 70, 18, 72)(6, 60, 19, 73, 24, 78)(7, 61, 27, 81, 28, 82)(8, 62, 30, 84, 21, 75)(9, 63, 34, 88, 36, 90)(11, 65, 38, 92, 39, 93)(13, 67, 31, 85, 43, 97)(14, 68, 23, 77, 45, 99)(15, 69, 33, 87, 46, 100)(17, 71, 35, 89, 26, 80)(20, 74, 52, 106, 47, 101)(22, 76, 53, 107, 49, 103)(25, 79, 37, 91, 41, 95)(29, 83, 54, 108, 32, 86)(40, 94, 42, 96, 51, 105)(44, 98, 50, 104, 48, 102)(109, 163, 111, 165, 121, 175, 138, 192, 133, 187, 114, 168)(110, 164, 116, 170, 139, 193, 132, 186, 145, 199, 118, 172)(112, 166, 125, 179, 142, 196, 152, 206, 155, 209, 123, 177)(113, 167, 127, 181, 151, 205, 120, 174, 149, 203, 129, 183)(115, 169, 131, 185, 130, 184, 148, 202, 119, 173, 137, 191)(117, 171, 143, 197, 160, 214, 158, 212, 126, 180, 141, 195)(122, 176, 135, 189, 159, 213, 161, 215, 140, 194, 146, 200)(124, 178, 156, 210, 144, 198, 154, 208, 128, 182, 134, 188)(136, 190, 162, 216, 157, 211, 153, 207, 147, 201, 150, 204)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 128)(6, 131)(7, 109)(8, 140)(9, 119)(10, 137)(11, 110)(12, 150)(13, 126)(14, 123)(15, 111)(16, 157)(17, 118)(18, 146)(19, 159)(20, 130)(21, 148)(22, 113)(23, 134)(24, 162)(25, 124)(26, 114)(27, 151)(28, 145)(29, 125)(30, 153)(31, 144)(32, 141)(33, 116)(34, 136)(35, 129)(36, 161)(37, 142)(38, 121)(39, 149)(40, 143)(41, 160)(42, 152)(43, 155)(44, 120)(45, 158)(46, 127)(47, 135)(48, 132)(49, 133)(50, 138)(51, 154)(52, 147)(53, 139)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1175
Graph:: simple bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y2 * Y1)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^2 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * Y2^3 * Y1^-1, (Y3 * Y2 * Y1^-1)^2, (Y3 * Y1^-1)^3, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 19, 73)(6, 60, 23, 77, 8, 62)(7, 61, 27, 81, 28, 82)(9, 63, 33, 87, 34, 88)(10, 64, 35, 89, 20, 74)(11, 65, 39, 93, 40, 94)(13, 67, 30, 84, 42, 96)(14, 68, 44, 98, 24, 78)(16, 70, 32, 86, 47, 101)(18, 72, 26, 80, 38, 92)(21, 75, 52, 106, 49, 103)(22, 76, 53, 107, 43, 97)(25, 79, 37, 91, 41, 95)(29, 83, 51, 105, 54, 108)(31, 85, 45, 99, 36, 90)(46, 100, 50, 104, 48, 102)(109, 163, 111, 165, 121, 175, 143, 197, 133, 187, 114, 168)(110, 164, 116, 170, 138, 192, 123, 177, 145, 199, 118, 172)(112, 166, 126, 180, 157, 211, 154, 208, 141, 195, 124, 178)(113, 167, 128, 182, 150, 204, 131, 185, 149, 203, 120, 174)(115, 169, 132, 186, 119, 173, 144, 198, 130, 184, 137, 191)(117, 171, 134, 188, 127, 181, 158, 212, 160, 214, 140, 194)(122, 176, 136, 190, 139, 193, 148, 202, 159, 213, 151, 205)(125, 179, 155, 209, 129, 183, 146, 200, 142, 196, 156, 210)(135, 189, 162, 216, 147, 201, 152, 206, 161, 215, 153, 207)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 129)(6, 132)(7, 109)(8, 139)(9, 119)(10, 144)(11, 110)(12, 137)(13, 125)(14, 124)(15, 153)(16, 111)(17, 151)(18, 120)(19, 147)(20, 159)(21, 130)(22, 113)(23, 162)(24, 134)(25, 127)(26, 114)(27, 149)(28, 138)(29, 126)(30, 141)(31, 140)(32, 116)(33, 136)(34, 161)(35, 152)(36, 146)(37, 142)(38, 118)(39, 133)(40, 150)(41, 157)(42, 160)(43, 121)(44, 156)(45, 154)(46, 123)(47, 128)(48, 143)(49, 135)(50, 131)(51, 155)(52, 148)(53, 145)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1168
Graph:: simple bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y2^2 * Y1^-1 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y3 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y1)^2, Y3 * Y1^-1 * Y3 * Y2^-2 * Y1^-1, Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 18, 72)(6, 60, 23, 77, 25, 79)(7, 61, 13, 67, 26, 80)(8, 62, 28, 82, 27, 81)(9, 63, 32, 86, 33, 87)(10, 64, 34, 88, 14, 68)(11, 65, 29, 83, 36, 90)(16, 70, 41, 95, 31, 85)(19, 73, 46, 100, 37, 91)(20, 74, 48, 102, 43, 97)(21, 75, 38, 92, 30, 84)(22, 76, 47, 101, 45, 99)(24, 78, 49, 103, 35, 89)(39, 93, 52, 106, 42, 96)(40, 94, 54, 108, 51, 105)(44, 98, 50, 104, 53, 107)(109, 163, 111, 165, 121, 175, 149, 203, 128, 182, 114, 168)(110, 164, 116, 170, 137, 191, 124, 178, 112, 166, 118, 172)(113, 167, 127, 181, 155, 209, 139, 193, 117, 171, 129, 183)(115, 169, 132, 186, 125, 179, 131, 185, 158, 212, 135, 189)(119, 173, 143, 197, 140, 194, 142, 196, 161, 215, 145, 199)(120, 174, 144, 198, 162, 216, 151, 205, 122, 176, 147, 201)(123, 177, 130, 184, 157, 211, 156, 210, 146, 200, 152, 206)(126, 180, 138, 192, 160, 214, 136, 190, 153, 207, 148, 202)(133, 187, 150, 204, 154, 208, 134, 188, 159, 213, 141, 195)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 128)(6, 132)(7, 109)(8, 138)(9, 119)(10, 143)(11, 110)(12, 146)(13, 150)(14, 124)(15, 114)(16, 111)(17, 153)(18, 137)(19, 133)(20, 130)(21, 157)(22, 113)(23, 159)(24, 123)(25, 149)(26, 158)(27, 118)(28, 131)(29, 147)(30, 139)(31, 116)(32, 134)(33, 155)(34, 162)(35, 135)(36, 161)(37, 129)(38, 148)(39, 126)(40, 120)(41, 127)(42, 151)(43, 121)(44, 125)(45, 152)(46, 142)(47, 160)(48, 144)(49, 145)(50, 140)(51, 136)(52, 141)(53, 156)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1174
Graph:: bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1202 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y2 * Y3^-1)^2, Y2^2 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^3, Y1 * Y3 * Y2^-4, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1 * Y2^-1, Y2^2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 19, 73)(6, 60, 23, 77, 25, 79)(7, 61, 26, 80, 13, 67)(8, 62, 28, 82, 30, 84)(9, 63, 32, 86, 33, 87)(10, 64, 34, 88, 36, 90)(11, 65, 37, 91, 29, 83)(14, 68, 40, 94, 18, 72)(16, 70, 44, 98, 31, 85)(20, 74, 27, 81, 47, 101)(21, 75, 48, 102, 49, 103)(22, 76, 42, 96, 45, 99)(24, 78, 46, 100, 35, 89)(38, 92, 52, 106, 50, 104)(39, 93, 53, 107, 41, 95)(43, 97, 51, 105, 54, 108)(109, 163, 111, 165, 121, 175, 139, 193, 117, 171, 114, 168)(110, 164, 116, 170, 137, 191, 152, 206, 129, 183, 118, 172)(112, 166, 126, 180, 113, 167, 128, 182, 153, 207, 124, 178)(115, 169, 132, 186, 127, 181, 133, 187, 158, 212, 135, 189)(119, 173, 143, 197, 141, 195, 144, 198, 146, 200, 120, 174)(122, 176, 149, 203, 123, 177, 150, 204, 162, 216, 140, 194)(125, 179, 142, 196, 161, 215, 155, 209, 145, 199, 151, 205)(130, 184, 154, 208, 157, 211, 148, 202, 160, 214, 136, 190)(131, 185, 147, 201, 138, 192, 134, 188, 159, 213, 156, 210)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 129)(6, 132)(7, 109)(8, 131)(9, 119)(10, 143)(11, 110)(12, 114)(13, 147)(14, 124)(15, 144)(16, 111)(17, 153)(18, 154)(19, 145)(20, 142)(21, 130)(22, 113)(23, 139)(24, 120)(25, 159)(26, 158)(27, 126)(28, 118)(29, 161)(30, 148)(31, 116)(32, 121)(33, 150)(34, 152)(35, 136)(36, 151)(37, 146)(38, 127)(39, 140)(40, 162)(41, 125)(42, 160)(43, 123)(44, 128)(45, 149)(46, 135)(47, 133)(48, 137)(49, 134)(50, 157)(51, 155)(52, 141)(53, 156)(54, 138)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1167
Graph:: bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (Y3 * Y2^-1)^2, Y2 * Y1 * Y3 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^6, Y2 * Y1 * Y2^2 * Y3 * Y2^2 * Y1 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^2 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 4, 58)(3, 57, 8, 62, 7, 61)(5, 59, 10, 64, 12, 66)(6, 60, 14, 68, 11, 65)(9, 63, 19, 73, 18, 72)(13, 67, 23, 77, 25, 79)(15, 69, 28, 82, 27, 81)(16, 70, 17, 71, 30, 84)(20, 74, 35, 89, 34, 88)(21, 75, 36, 90, 24, 78)(22, 76, 26, 80, 38, 92)(29, 83, 45, 99, 44, 98)(31, 85, 40, 94, 46, 100)(32, 86, 33, 87, 42, 96)(37, 91, 51, 105, 50, 104)(39, 93, 43, 97, 41, 95)(47, 101, 53, 107, 52, 106)(48, 102, 49, 103, 54, 108)(109, 163, 111, 165, 117, 171, 128, 182, 121, 175, 113, 167)(110, 164, 114, 168, 123, 177, 137, 191, 124, 178, 115, 169)(112, 166, 118, 172, 129, 183, 145, 199, 130, 184, 119, 173)(116, 170, 125, 179, 139, 193, 155, 209, 140, 194, 126, 180)(120, 174, 131, 185, 147, 201, 160, 214, 148, 202, 132, 186)(122, 176, 134, 188, 150, 204, 161, 215, 151, 205, 135, 189)(127, 181, 141, 195, 146, 200, 159, 213, 156, 210, 142, 196)(133, 187, 143, 197, 157, 211, 152, 206, 136, 190, 149, 203)(138, 192, 153, 207, 162, 216, 158, 212, 144, 198, 154, 208)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 118)(6, 122)(7, 111)(8, 115)(9, 127)(10, 120)(11, 114)(12, 113)(13, 131)(14, 119)(15, 136)(16, 125)(17, 138)(18, 117)(19, 126)(20, 143)(21, 144)(22, 134)(23, 133)(24, 129)(25, 121)(26, 146)(27, 123)(28, 135)(29, 153)(30, 124)(31, 148)(32, 141)(33, 150)(34, 128)(35, 142)(36, 132)(37, 159)(38, 130)(39, 151)(40, 154)(41, 147)(42, 140)(43, 149)(44, 137)(45, 152)(46, 139)(47, 161)(48, 157)(49, 162)(50, 145)(51, 158)(52, 155)(53, 160)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1173
Graph:: bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y2 * Y3 * Y2^-1 * Y1, (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y2^-1 * Y1 * R * Y2 * R, Y1 * Y2^-4 * Y3^-1, (Y1 * Y3^-1)^3, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 16, 70, 18, 72)(6, 60, 20, 74, 8, 62)(7, 61, 22, 76, 24, 78)(9, 63, 25, 79, 27, 81)(10, 64, 28, 82, 14, 68)(11, 65, 30, 84, 32, 86)(13, 67, 36, 90, 38, 92)(17, 71, 43, 97, 31, 85)(19, 73, 34, 88, 40, 94)(21, 75, 46, 100, 48, 102)(23, 77, 37, 91, 50, 104)(26, 80, 51, 105, 35, 89)(29, 83, 39, 93, 54, 108)(33, 87, 44, 98, 41, 95)(42, 96, 47, 101, 53, 107)(45, 99, 52, 106, 49, 103)(109, 163, 111, 165, 121, 175, 145, 199, 130, 184, 114, 168)(110, 164, 116, 170, 112, 166, 125, 179, 138, 192, 118, 172)(113, 167, 122, 176, 117, 171, 134, 188, 142, 196, 120, 174)(115, 169, 129, 183, 155, 209, 149, 203, 124, 178, 128, 182)(119, 173, 137, 191, 161, 215, 156, 210, 133, 187, 136, 190)(123, 177, 127, 181, 141, 195, 150, 204, 162, 216, 144, 198)(126, 180, 152, 206, 148, 202, 143, 197, 160, 214, 151, 205)(131, 185, 157, 211, 159, 213, 135, 189, 154, 208, 132, 186)(139, 193, 153, 207, 158, 212, 146, 200, 147, 201, 140, 194)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 121)(6, 129)(7, 109)(8, 111)(9, 119)(10, 137)(11, 110)(12, 141)(13, 127)(14, 116)(15, 145)(16, 148)(17, 152)(18, 138)(19, 113)(20, 125)(21, 131)(22, 157)(23, 114)(24, 155)(25, 132)(26, 154)(27, 142)(28, 134)(29, 139)(30, 153)(31, 118)(32, 161)(33, 143)(34, 160)(35, 120)(36, 140)(37, 147)(38, 130)(39, 123)(40, 150)(41, 162)(42, 124)(43, 158)(44, 128)(45, 126)(46, 136)(47, 133)(48, 149)(49, 146)(50, 159)(51, 151)(52, 135)(53, 144)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1170
Graph:: bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y2^-1 * Y3)^2, Y2^2 * Y3^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y3, (Y3 * Y2^-1)^2, (R * Y3)^2, Y2^2 * Y3^-1 * Y1^-1, (R * Y1)^2, Y2^-1 * Y1^-1 * R * Y2 * R, Y2^2 * Y1 * Y3 * Y2^2, (Y1 * Y3)^3, (Y3 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 10, 64)(4, 58, 14, 68, 16, 70)(6, 60, 13, 67, 21, 75)(7, 61, 24, 78, 22, 76)(8, 62, 25, 79, 18, 72)(9, 63, 26, 80, 28, 82)(11, 65, 32, 86, 30, 84)(15, 69, 38, 92, 36, 90)(17, 71, 41, 95, 43, 97)(19, 73, 45, 99, 35, 89)(20, 74, 46, 100, 48, 102)(23, 77, 50, 104, 27, 81)(29, 83, 39, 93, 34, 88)(31, 85, 54, 108, 42, 96)(33, 87, 44, 98, 51, 105)(37, 91, 49, 103, 53, 107)(40, 94, 52, 106, 47, 101)(109, 163, 111, 165, 117, 171, 135, 189, 130, 184, 114, 168)(110, 164, 116, 170, 125, 179, 150, 204, 138, 192, 118, 172)(112, 166, 123, 177, 143, 197, 126, 180, 113, 167, 121, 175)(115, 169, 128, 182, 155, 209, 147, 201, 124, 178, 129, 183)(119, 173, 137, 191, 148, 202, 159, 213, 136, 190, 120, 174)(122, 176, 142, 196, 140, 194, 139, 193, 161, 215, 144, 198)(127, 181, 152, 206, 160, 214, 154, 208, 151, 205, 133, 187)(131, 185, 157, 211, 162, 216, 149, 203, 156, 210, 132, 186)(134, 188, 141, 195, 153, 207, 146, 200, 145, 199, 158, 212)
	L = (1, 112)(2, 117)(3, 116)(4, 115)(5, 125)(6, 128)(7, 109)(8, 121)(9, 119)(10, 137)(11, 110)(12, 135)(13, 111)(14, 143)(15, 142)(16, 140)(17, 127)(18, 152)(19, 113)(20, 131)(21, 123)(22, 157)(23, 114)(24, 155)(25, 150)(26, 130)(27, 141)(28, 153)(29, 139)(30, 161)(31, 118)(32, 148)(33, 120)(34, 129)(35, 145)(36, 158)(37, 122)(38, 126)(39, 159)(40, 124)(41, 138)(42, 156)(43, 132)(44, 146)(45, 160)(46, 147)(47, 151)(48, 133)(49, 134)(50, 162)(51, 154)(52, 136)(53, 149)(54, 144)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1169
Graph:: bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1)^3, (Y2 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 8, 62)(5, 59, 9, 63)(6, 60, 10, 64)(11, 65, 19, 73)(12, 66, 20, 74)(13, 67, 21, 75)(14, 68, 22, 76)(15, 69, 23, 77)(16, 70, 24, 78)(17, 71, 25, 79)(18, 72, 26, 80)(27, 81, 39, 93)(28, 82, 40, 94)(29, 83, 41, 95)(30, 84, 42, 96)(31, 85, 43, 97)(32, 86, 44, 98)(33, 87, 45, 99)(34, 88, 46, 100)(35, 89, 47, 101)(36, 90, 48, 102)(37, 91, 49, 103)(38, 92, 50, 104)(51, 105, 53, 107)(52, 106, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 121, 175, 122, 176)(114, 168, 125, 179, 126, 180)(116, 170, 129, 183, 130, 184)(118, 172, 133, 187, 134, 188)(119, 173, 135, 189, 136, 190)(120, 174, 137, 191, 138, 192)(123, 177, 142, 196, 143, 197)(124, 178, 144, 198, 139, 193)(127, 181, 147, 201, 148, 202)(128, 182, 149, 203, 150, 204)(131, 185, 154, 208, 155, 209)(132, 186, 156, 210, 151, 205)(140, 194, 146, 200, 160, 214)(141, 195, 159, 213, 145, 199)(152, 206, 158, 212, 162, 216)(153, 207, 161, 215, 157, 211)
	L = (1, 112)(2, 116)(3, 119)(4, 114)(5, 123)(6, 109)(7, 127)(8, 118)(9, 131)(10, 110)(11, 120)(12, 111)(13, 139)(14, 137)(15, 124)(16, 113)(17, 145)(18, 146)(19, 128)(20, 115)(21, 151)(22, 149)(23, 132)(24, 117)(25, 157)(26, 158)(27, 126)(28, 144)(29, 141)(30, 160)(31, 140)(32, 121)(33, 122)(34, 138)(35, 125)(36, 159)(37, 143)(38, 135)(39, 134)(40, 156)(41, 153)(42, 162)(43, 152)(44, 129)(45, 130)(46, 150)(47, 133)(48, 161)(49, 155)(50, 147)(51, 136)(52, 142)(53, 148)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1207
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1207 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y3^3, Y1^3, (R * Y2)^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y3 * Y1 * Y2 * Y1, Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 13, 67)(4, 58, 15, 69, 16, 70)(6, 60, 21, 75, 22, 76)(7, 61, 23, 77, 24, 78)(8, 62, 25, 79, 26, 80)(9, 63, 28, 82, 29, 83)(10, 64, 30, 84, 31, 85)(11, 65, 32, 86, 33, 87)(14, 68, 27, 81, 40, 94)(17, 71, 41, 95, 42, 96)(18, 72, 43, 97, 44, 98)(19, 73, 45, 99, 35, 89)(20, 74, 46, 100, 34, 88)(36, 90, 49, 103, 53, 107)(37, 91, 50, 104, 54, 108)(38, 92, 51, 105, 47, 101)(39, 93, 52, 106, 48, 102)(109, 163, 111, 165, 115, 169, 122, 176, 112, 166, 114, 168)(110, 164, 116, 170, 119, 173, 135, 189, 117, 171, 118, 172)(113, 167, 125, 179, 128, 182, 148, 202, 126, 180, 127, 181)(120, 174, 142, 196, 145, 199, 123, 177, 143, 197, 144, 198)(121, 175, 140, 194, 147, 201, 124, 178, 138, 192, 146, 200)(129, 183, 155, 209, 150, 204, 131, 185, 156, 210, 152, 206)(130, 184, 157, 211, 133, 187, 132, 186, 158, 212, 136, 190)(134, 188, 154, 208, 160, 214, 137, 191, 153, 207, 159, 213)(139, 193, 161, 215, 149, 203, 141, 195, 162, 216, 151, 205)
	L = (1, 112)(2, 117)(3, 114)(4, 115)(5, 126)(6, 122)(7, 109)(8, 118)(9, 119)(10, 135)(11, 110)(12, 143)(13, 138)(14, 111)(15, 142)(16, 140)(17, 127)(18, 128)(19, 148)(20, 113)(21, 156)(22, 158)(23, 155)(24, 157)(25, 130)(26, 153)(27, 116)(28, 132)(29, 154)(30, 147)(31, 162)(32, 146)(33, 161)(34, 144)(35, 145)(36, 123)(37, 120)(38, 124)(39, 121)(40, 125)(41, 139)(42, 129)(43, 141)(44, 131)(45, 160)(46, 159)(47, 152)(48, 150)(49, 136)(50, 133)(51, 137)(52, 134)(53, 151)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1206
Graph:: bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1208 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 6})
Quotient :: edge^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1^-1, Y2^-1), Y3^2 * Y2^-1 * Y1^-1, (R * Y3)^2, Y2^-1 * Y3^2 * Y1^-1, R * Y1 * R * Y2, Y1^-1 * Y3^-4 * Y2^-1, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 8, 62, 24, 78, 19, 73, 7, 61)(2, 56, 9, 63, 13, 67, 21, 75, 6, 60, 11, 65)(3, 57, 12, 66, 10, 64, 20, 74, 5, 59, 14, 68)(15, 69, 37, 91, 23, 77, 42, 96, 18, 72, 38, 92)(16, 70, 39, 93, 22, 76, 41, 95, 17, 71, 40, 94)(25, 79, 43, 97, 30, 84, 48, 102, 28, 82, 44, 98)(26, 80, 45, 99, 29, 83, 47, 101, 27, 81, 46, 100)(31, 85, 49, 103, 36, 90, 54, 108, 34, 88, 50, 104)(32, 86, 51, 105, 35, 89, 53, 107, 33, 87, 52, 106)(109, 110, 113)(111, 116, 121)(112, 123, 125)(114, 118, 127)(115, 126, 130)(117, 133, 135)(119, 136, 137)(120, 139, 141)(122, 142, 143)(124, 132, 131)(128, 144, 140)(129, 138, 134)(145, 151, 158)(146, 152, 162)(147, 153, 160)(148, 154, 161)(149, 155, 159)(150, 156, 157)(163, 165, 168)(164, 170, 172)(166, 178, 180)(167, 175, 181)(169, 179, 185)(171, 188, 190)(173, 189, 192)(174, 194, 196)(176, 195, 198)(177, 186, 184)(182, 197, 193)(183, 191, 187)(199, 211, 206)(200, 212, 210)(201, 213, 208)(202, 214, 209)(203, 215, 207)(204, 216, 205)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^3 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1211
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 3^36, 12^9 ]

E19.1209 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 6})
Quotient :: edge^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1, Y1), (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58)(2, 56, 8, 62)(3, 57, 10, 64)(5, 59, 16, 70)(6, 60, 18, 72)(7, 61, 19, 73)(9, 63, 24, 78)(11, 65, 29, 83)(12, 66, 30, 84)(13, 67, 32, 86)(14, 68, 34, 88)(15, 69, 36, 90)(17, 71, 35, 89)(20, 74, 41, 95)(21, 75, 42, 96)(22, 76, 43, 97)(23, 77, 44, 98)(25, 79, 45, 99)(26, 80, 46, 100)(27, 81, 47, 101)(28, 82, 48, 102)(31, 85, 49, 103)(33, 87, 50, 104)(37, 91, 51, 105)(38, 92, 53, 107)(39, 93, 52, 106)(40, 94, 54, 108)(109, 110, 113)(111, 115, 119)(112, 120, 122)(114, 117, 125)(116, 128, 130)(118, 133, 135)(121, 127, 141)(123, 139, 143)(124, 136, 145)(126, 131, 147)(129, 137, 148)(132, 146, 134)(138, 149, 156)(140, 150, 155)(142, 151, 159)(144, 152, 161)(153, 158, 162)(154, 157, 160)(163, 165, 168)(164, 169, 171)(166, 175, 177)(167, 173, 179)(170, 183, 185)(172, 188, 190)(174, 181, 193)(176, 195, 197)(178, 189, 200)(180, 184, 202)(182, 191, 201)(186, 199, 187)(192, 207, 206)(194, 208, 205)(196, 209, 214)(198, 210, 216)(203, 212, 215)(204, 211, 213)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1210
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 3^36, 4^27 ]

E19.1210 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 6})
Quotient :: loop^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1^-1, Y2^-1), Y3^2 * Y2^-1 * Y1^-1, (R * Y3)^2, Y2^-1 * Y3^2 * Y1^-1, R * Y1 * R * Y2, Y1^-1 * Y3^-4 * Y2^-1, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 8, 62, 116, 170, 24, 78, 132, 186, 19, 73, 127, 181, 7, 61, 115, 169)(2, 56, 110, 164, 9, 63, 117, 171, 13, 67, 121, 175, 21, 75, 129, 183, 6, 60, 114, 168, 11, 65, 119, 173)(3, 57, 111, 165, 12, 66, 120, 174, 10, 64, 118, 172, 20, 74, 128, 182, 5, 59, 113, 167, 14, 68, 122, 176)(15, 69, 123, 177, 37, 91, 145, 199, 23, 77, 131, 185, 42, 96, 150, 204, 18, 72, 126, 180, 38, 92, 146, 200)(16, 70, 124, 178, 39, 93, 147, 201, 22, 76, 130, 184, 41, 95, 149, 203, 17, 71, 125, 179, 40, 94, 148, 202)(25, 79, 133, 187, 43, 97, 151, 205, 30, 84, 138, 192, 48, 102, 156, 210, 28, 82, 136, 190, 44, 98, 152, 206)(26, 80, 134, 188, 45, 99, 153, 207, 29, 83, 137, 191, 47, 101, 155, 209, 27, 81, 135, 189, 46, 100, 154, 208)(31, 85, 139, 193, 49, 103, 157, 211, 36, 90, 144, 198, 54, 108, 162, 216, 34, 88, 142, 196, 50, 104, 158, 212)(32, 86, 140, 194, 51, 105, 159, 213, 35, 89, 143, 197, 53, 107, 161, 215, 33, 87, 141, 195, 52, 106, 160, 214)
	L = (1, 56)(2, 59)(3, 62)(4, 69)(5, 55)(6, 64)(7, 72)(8, 67)(9, 79)(10, 73)(11, 82)(12, 85)(13, 57)(14, 88)(15, 71)(16, 78)(17, 58)(18, 76)(19, 60)(20, 90)(21, 84)(22, 61)(23, 70)(24, 77)(25, 81)(26, 75)(27, 63)(28, 83)(29, 65)(30, 80)(31, 87)(32, 74)(33, 66)(34, 89)(35, 68)(36, 86)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 104)(44, 108)(45, 106)(46, 107)(47, 105)(48, 103)(49, 96)(50, 91)(51, 95)(52, 93)(53, 94)(54, 92)(109, 165)(110, 170)(111, 168)(112, 178)(113, 175)(114, 163)(115, 179)(116, 172)(117, 188)(118, 164)(119, 189)(120, 194)(121, 181)(122, 195)(123, 186)(124, 180)(125, 185)(126, 166)(127, 167)(128, 197)(129, 191)(130, 177)(131, 169)(132, 184)(133, 183)(134, 190)(135, 192)(136, 171)(137, 187)(138, 173)(139, 182)(140, 196)(141, 198)(142, 174)(143, 193)(144, 176)(145, 211)(146, 212)(147, 213)(148, 214)(149, 215)(150, 216)(151, 204)(152, 199)(153, 203)(154, 201)(155, 202)(156, 200)(157, 206)(158, 210)(159, 208)(160, 209)(161, 207)(162, 205)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.1209
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 63
	degree seq :: [ 24^9 ]

E19.1211 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 6})
Quotient :: loop^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1, Y1), (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 8, 62, 116, 170)(3, 57, 111, 165, 10, 64, 118, 172)(5, 59, 113, 167, 16, 70, 124, 178)(6, 60, 114, 168, 18, 72, 126, 180)(7, 61, 115, 169, 19, 73, 127, 181)(9, 63, 117, 171, 24, 78, 132, 186)(11, 65, 119, 173, 29, 83, 137, 191)(12, 66, 120, 174, 30, 84, 138, 192)(13, 67, 121, 175, 32, 86, 140, 194)(14, 68, 122, 176, 34, 88, 142, 196)(15, 69, 123, 177, 36, 90, 144, 198)(17, 71, 125, 179, 35, 89, 143, 197)(20, 74, 128, 182, 41, 95, 149, 203)(21, 75, 129, 183, 42, 96, 150, 204)(22, 76, 130, 184, 43, 97, 151, 205)(23, 77, 131, 185, 44, 98, 152, 206)(25, 79, 133, 187, 45, 99, 153, 207)(26, 80, 134, 188, 46, 100, 154, 208)(27, 81, 135, 189, 47, 101, 155, 209)(28, 82, 136, 190, 48, 102, 156, 210)(31, 85, 139, 193, 49, 103, 157, 211)(33, 87, 141, 195, 50, 104, 158, 212)(37, 91, 145, 199, 51, 105, 159, 213)(38, 92, 146, 200, 53, 107, 161, 215)(39, 93, 147, 201, 52, 106, 160, 214)(40, 94, 148, 202, 54, 108, 162, 216)
	L = (1, 56)(2, 59)(3, 61)(4, 66)(5, 55)(6, 63)(7, 65)(8, 74)(9, 71)(10, 79)(11, 57)(12, 68)(13, 73)(14, 58)(15, 85)(16, 82)(17, 60)(18, 77)(19, 87)(20, 76)(21, 83)(22, 62)(23, 93)(24, 92)(25, 81)(26, 78)(27, 64)(28, 91)(29, 94)(30, 95)(31, 89)(32, 96)(33, 67)(34, 97)(35, 69)(36, 98)(37, 70)(38, 80)(39, 72)(40, 75)(41, 102)(42, 101)(43, 105)(44, 107)(45, 104)(46, 103)(47, 86)(48, 84)(49, 106)(50, 108)(51, 88)(52, 100)(53, 90)(54, 99)(109, 165)(110, 169)(111, 168)(112, 175)(113, 173)(114, 163)(115, 171)(116, 183)(117, 164)(118, 188)(119, 179)(120, 181)(121, 177)(122, 195)(123, 166)(124, 189)(125, 167)(126, 184)(127, 193)(128, 191)(129, 185)(130, 202)(131, 170)(132, 199)(133, 186)(134, 190)(135, 200)(136, 172)(137, 201)(138, 207)(139, 174)(140, 208)(141, 197)(142, 209)(143, 176)(144, 210)(145, 187)(146, 178)(147, 182)(148, 180)(149, 212)(150, 211)(151, 194)(152, 192)(153, 206)(154, 205)(155, 214)(156, 216)(157, 213)(158, 215)(159, 204)(160, 196)(161, 203)(162, 198)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1208
Transitivity :: VT+
Graph:: simple
	v = 27 e = 108 f = 45
	degree seq :: [ 8^27 ]

E19.1212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 13, 67)(5, 59, 9, 63)(6, 60, 16, 70)(8, 62, 19, 73)(10, 64, 22, 76)(11, 65, 23, 77)(12, 66, 24, 78)(14, 68, 26, 80)(15, 69, 28, 82)(17, 71, 31, 85)(18, 72, 32, 86)(20, 74, 34, 88)(21, 75, 36, 90)(25, 79, 33, 87)(27, 81, 37, 91)(29, 83, 35, 89)(30, 84, 38, 92)(39, 93, 47, 101)(40, 94, 49, 103)(41, 95, 48, 102)(42, 96, 50, 104)(43, 97, 51, 105)(44, 98, 53, 107)(45, 99, 52, 106)(46, 100, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 119, 173, 122, 176)(114, 168, 120, 174, 123, 177)(116, 170, 125, 179, 128, 182)(118, 172, 126, 180, 129, 183)(121, 175, 131, 185, 134, 188)(124, 178, 132, 186, 136, 190)(127, 181, 139, 193, 142, 196)(130, 184, 140, 194, 144, 198)(133, 187, 147, 201, 151, 205)(135, 189, 148, 202, 152, 206)(137, 191, 149, 203, 153, 207)(138, 192, 150, 204, 154, 208)(141, 195, 155, 209, 159, 213)(143, 197, 156, 210, 160, 214)(145, 199, 157, 211, 161, 215)(146, 200, 158, 212, 162, 216)
	L = (1, 112)(2, 116)(3, 119)(4, 114)(5, 122)(6, 109)(7, 125)(8, 118)(9, 128)(10, 110)(11, 120)(12, 111)(13, 133)(14, 123)(15, 113)(16, 137)(17, 126)(18, 115)(19, 141)(20, 129)(21, 117)(22, 145)(23, 147)(24, 149)(25, 135)(26, 151)(27, 121)(28, 153)(29, 138)(30, 124)(31, 155)(32, 157)(33, 143)(34, 159)(35, 127)(36, 161)(37, 146)(38, 130)(39, 148)(40, 131)(41, 150)(42, 132)(43, 152)(44, 134)(45, 154)(46, 136)(47, 156)(48, 139)(49, 158)(50, 140)(51, 160)(52, 142)(53, 162)(54, 144)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1224
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1213 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3, Y2), (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 13, 67)(5, 59, 7, 61)(6, 60, 16, 70)(8, 62, 19, 73)(10, 64, 22, 76)(11, 65, 23, 77)(12, 66, 24, 78)(14, 68, 25, 79)(15, 69, 28, 82)(17, 71, 31, 85)(18, 72, 32, 86)(20, 74, 33, 87)(21, 75, 36, 90)(26, 80, 34, 88)(27, 81, 37, 91)(29, 83, 35, 89)(30, 84, 38, 92)(39, 93, 51, 105)(40, 94, 53, 107)(41, 95, 52, 106)(42, 96, 54, 108)(43, 97, 47, 101)(44, 98, 49, 103)(45, 99, 48, 102)(46, 100, 50, 104)(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, 133, 187, 131, 185)(124, 178, 136, 190, 132, 186)(127, 181, 141, 195, 139, 193)(130, 184, 144, 198, 140, 194)(134, 188, 151, 205, 147, 201)(135, 189, 152, 206, 148, 202)(137, 191, 153, 207, 149, 203)(138, 192, 154, 208, 150, 204)(142, 196, 159, 213, 155, 209)(143, 197, 160, 214, 156, 210)(145, 199, 161, 215, 157, 211)(146, 200, 162, 216, 158, 212)
	L = (1, 112)(2, 116)(3, 119)(4, 114)(5, 122)(6, 109)(7, 125)(8, 118)(9, 128)(10, 110)(11, 120)(12, 111)(13, 134)(14, 123)(15, 113)(16, 137)(17, 126)(18, 115)(19, 142)(20, 129)(21, 117)(22, 145)(23, 147)(24, 149)(25, 151)(26, 135)(27, 121)(28, 153)(29, 138)(30, 124)(31, 155)(32, 157)(33, 159)(34, 143)(35, 127)(36, 161)(37, 146)(38, 130)(39, 148)(40, 131)(41, 150)(42, 132)(43, 152)(44, 133)(45, 154)(46, 136)(47, 156)(48, 139)(49, 158)(50, 140)(51, 160)(52, 141)(53, 162)(54, 144)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1227
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1214 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3, Y2^-1), Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 8, 62)(5, 59, 15, 69)(6, 60, 10, 64)(7, 61, 17, 71)(9, 63, 21, 75)(12, 66, 24, 78)(13, 67, 26, 80)(14, 68, 27, 81)(16, 70, 30, 84)(18, 72, 32, 86)(19, 73, 34, 88)(20, 74, 35, 89)(22, 76, 38, 92)(23, 77, 31, 85)(25, 79, 36, 90)(28, 82, 33, 87)(29, 83, 37, 91)(39, 93, 47, 101)(40, 94, 48, 102)(41, 95, 51, 105)(42, 96, 53, 107)(43, 97, 49, 103)(44, 98, 52, 106)(45, 99, 50, 104)(46, 100, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 120, 174, 122, 176)(114, 168, 121, 175, 124, 178)(116, 170, 126, 180, 128, 182)(118, 172, 127, 181, 130, 184)(119, 173, 131, 185, 133, 187)(123, 177, 136, 190, 137, 191)(125, 179, 139, 193, 141, 195)(129, 183, 144, 198, 145, 199)(132, 186, 147, 201, 149, 203)(134, 188, 148, 202, 150, 204)(135, 189, 151, 205, 152, 206)(138, 192, 153, 207, 154, 208)(140, 194, 155, 209, 157, 211)(142, 196, 156, 210, 158, 212)(143, 197, 159, 213, 160, 214)(146, 200, 161, 215, 162, 216)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 122)(6, 109)(7, 126)(8, 118)(9, 128)(10, 110)(11, 132)(12, 121)(13, 111)(14, 124)(15, 135)(16, 113)(17, 140)(18, 127)(19, 115)(20, 130)(21, 143)(22, 117)(23, 147)(24, 134)(25, 149)(26, 119)(27, 138)(28, 151)(29, 152)(30, 123)(31, 155)(32, 142)(33, 157)(34, 125)(35, 146)(36, 159)(37, 160)(38, 129)(39, 148)(40, 131)(41, 150)(42, 133)(43, 153)(44, 154)(45, 136)(46, 137)(47, 156)(48, 139)(49, 158)(50, 141)(51, 161)(52, 162)(53, 144)(54, 145)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1221
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y2^-1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 14, 68)(5, 59, 16, 70)(6, 60, 18, 72)(7, 61, 19, 73)(8, 62, 22, 76)(9, 63, 24, 78)(10, 64, 26, 80)(12, 66, 31, 85)(13, 67, 21, 75)(15, 69, 23, 77)(17, 71, 38, 92)(20, 74, 45, 99)(25, 79, 52, 106)(27, 81, 41, 95)(28, 82, 42, 96)(29, 83, 48, 102)(30, 84, 53, 107)(32, 86, 46, 100)(33, 87, 49, 103)(34, 88, 43, 97)(35, 89, 47, 101)(36, 90, 50, 104)(37, 91, 51, 105)(39, 93, 44, 98)(40, 94, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 120, 174, 123, 177)(114, 168, 121, 175, 125, 179)(116, 170, 128, 182, 131, 185)(118, 172, 129, 183, 133, 187)(119, 173, 135, 189, 137, 191)(122, 176, 136, 190, 141, 195)(124, 178, 142, 196, 144, 198)(126, 180, 147, 201, 145, 199)(127, 181, 149, 203, 151, 205)(130, 184, 150, 204, 155, 209)(132, 186, 156, 210, 158, 212)(134, 188, 161, 215, 159, 213)(138, 192, 146, 200, 140, 194)(139, 193, 143, 197, 148, 202)(152, 206, 160, 214, 154, 208)(153, 207, 157, 211, 162, 216)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 123)(6, 109)(7, 128)(8, 118)(9, 131)(10, 110)(11, 136)(12, 121)(13, 111)(14, 140)(15, 125)(16, 143)(17, 113)(18, 142)(19, 150)(20, 129)(21, 115)(22, 154)(23, 133)(24, 157)(25, 117)(26, 156)(27, 141)(28, 138)(29, 122)(30, 119)(31, 147)(32, 137)(33, 146)(34, 148)(35, 145)(36, 139)(37, 124)(38, 135)(39, 144)(40, 126)(41, 155)(42, 152)(43, 130)(44, 127)(45, 161)(46, 151)(47, 160)(48, 162)(49, 159)(50, 153)(51, 132)(52, 149)(53, 158)(54, 134)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1222
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3^-1, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y1 * Y2^-1 * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 14, 68)(5, 59, 16, 70)(6, 60, 18, 72)(7, 61, 19, 73)(8, 62, 22, 76)(9, 63, 24, 78)(10, 64, 26, 80)(12, 66, 31, 85)(13, 67, 23, 77)(15, 69, 21, 75)(17, 71, 38, 92)(20, 74, 45, 99)(25, 79, 52, 106)(27, 81, 41, 95)(28, 82, 46, 100)(29, 83, 48, 102)(30, 84, 49, 103)(32, 86, 42, 96)(33, 87, 53, 107)(34, 88, 43, 97)(35, 89, 44, 98)(36, 90, 50, 104)(37, 91, 54, 108)(39, 93, 47, 101)(40, 94, 51, 105)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 120, 174, 123, 177)(114, 168, 121, 175, 125, 179)(116, 170, 128, 182, 131, 185)(118, 172, 129, 183, 133, 187)(119, 173, 135, 189, 137, 191)(122, 176, 140, 194, 138, 192)(124, 178, 142, 196, 144, 198)(126, 180, 143, 197, 148, 202)(127, 181, 149, 203, 151, 205)(130, 184, 154, 208, 152, 206)(132, 186, 156, 210, 158, 212)(134, 188, 157, 211, 162, 216)(136, 190, 141, 195, 146, 200)(139, 193, 147, 201, 145, 199)(150, 204, 155, 209, 160, 214)(153, 207, 161, 215, 159, 213)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 123)(6, 109)(7, 128)(8, 118)(9, 131)(10, 110)(11, 136)(12, 121)(13, 111)(14, 135)(15, 125)(16, 143)(17, 113)(18, 147)(19, 150)(20, 129)(21, 115)(22, 149)(23, 133)(24, 157)(25, 117)(26, 161)(27, 141)(28, 138)(29, 146)(30, 119)(31, 142)(32, 137)(33, 122)(34, 148)(35, 145)(36, 126)(37, 124)(38, 140)(39, 144)(40, 139)(41, 155)(42, 152)(43, 160)(44, 127)(45, 156)(46, 151)(47, 130)(48, 162)(49, 159)(50, 134)(51, 132)(52, 154)(53, 158)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1225
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1217 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y3, Y2^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 14, 68)(5, 59, 16, 70)(6, 60, 18, 72)(7, 61, 19, 73)(8, 62, 22, 76)(9, 63, 24, 78)(10, 64, 26, 80)(12, 66, 20, 74)(13, 67, 31, 85)(15, 69, 36, 90)(17, 71, 25, 79)(21, 75, 45, 99)(23, 77, 50, 104)(27, 81, 41, 95)(28, 82, 46, 100)(29, 83, 49, 103)(30, 84, 44, 98)(32, 86, 42, 96)(33, 87, 47, 101)(34, 88, 48, 102)(35, 89, 43, 97)(37, 91, 51, 105)(38, 92, 53, 107)(39, 93, 52, 106)(40, 94, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 120, 174, 123, 177)(114, 168, 121, 175, 125, 179)(116, 170, 128, 182, 131, 185)(118, 172, 129, 183, 133, 187)(119, 173, 135, 189, 137, 191)(122, 176, 140, 194, 142, 196)(124, 178, 143, 197, 145, 199)(126, 180, 138, 192, 147, 201)(127, 181, 149, 203, 151, 205)(130, 184, 154, 208, 156, 210)(132, 186, 157, 211, 159, 213)(134, 188, 152, 206, 161, 215)(136, 190, 144, 198, 148, 202)(139, 193, 146, 200, 141, 195)(150, 204, 158, 212, 162, 216)(153, 207, 160, 214, 155, 209)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 123)(6, 109)(7, 128)(8, 118)(9, 131)(10, 110)(11, 136)(12, 121)(13, 111)(14, 141)(15, 125)(16, 142)(17, 113)(18, 137)(19, 150)(20, 129)(21, 115)(22, 155)(23, 133)(24, 156)(25, 117)(26, 151)(27, 144)(28, 138)(29, 148)(30, 119)(31, 145)(32, 139)(33, 143)(34, 146)(35, 122)(36, 147)(37, 140)(38, 124)(39, 135)(40, 126)(41, 158)(42, 152)(43, 162)(44, 127)(45, 159)(46, 153)(47, 157)(48, 160)(49, 130)(50, 161)(51, 154)(52, 132)(53, 149)(54, 134)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1223
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1218 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3, Y2), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 14, 68)(5, 59, 16, 70)(6, 60, 18, 72)(7, 61, 19, 73)(8, 62, 22, 76)(9, 63, 24, 78)(10, 64, 26, 80)(12, 66, 25, 79)(13, 67, 31, 85)(15, 69, 36, 90)(17, 71, 20, 74)(21, 75, 45, 99)(23, 77, 50, 104)(27, 81, 41, 95)(28, 82, 46, 100)(29, 83, 51, 105)(30, 84, 53, 107)(32, 86, 42, 96)(33, 87, 47, 101)(34, 88, 52, 106)(35, 89, 54, 108)(37, 91, 43, 97)(38, 92, 48, 102)(39, 93, 44, 98)(40, 94, 49, 103)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 120, 174, 123, 177)(114, 168, 121, 175, 125, 179)(116, 170, 128, 182, 131, 185)(118, 172, 129, 183, 133, 187)(119, 173, 135, 189, 137, 191)(122, 176, 140, 194, 142, 196)(124, 178, 145, 199, 141, 195)(126, 180, 147, 201, 136, 190)(127, 181, 149, 203, 151, 205)(130, 184, 154, 208, 156, 210)(132, 186, 159, 213, 155, 209)(134, 188, 161, 215, 150, 204)(138, 192, 148, 202, 144, 198)(139, 193, 143, 197, 146, 200)(152, 206, 162, 216, 158, 212)(153, 207, 157, 211, 160, 214)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 123)(6, 109)(7, 128)(8, 118)(9, 131)(10, 110)(11, 136)(12, 121)(13, 111)(14, 141)(15, 125)(16, 146)(17, 113)(18, 148)(19, 150)(20, 129)(21, 115)(22, 155)(23, 133)(24, 160)(25, 117)(26, 162)(27, 126)(28, 138)(29, 147)(30, 119)(31, 142)(32, 124)(33, 143)(34, 145)(35, 122)(36, 137)(37, 139)(38, 140)(39, 144)(40, 135)(41, 134)(42, 152)(43, 161)(44, 127)(45, 156)(46, 132)(47, 157)(48, 159)(49, 130)(50, 151)(51, 153)(52, 154)(53, 158)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1226
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (Y3 * Y1)^2, (R * Y2^-1)^2, (R * Y1)^2, (Y3, Y2), (R * Y3)^2, (Y2^-1, Y1^-1), Y3^6, Y3 * Y1^-1 * Y3^3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 13, 67)(4, 58, 15, 69, 17, 71)(6, 60, 10, 64, 20, 74)(7, 61, 22, 76, 9, 63)(11, 65, 29, 83, 19, 73)(12, 66, 31, 85, 33, 87)(14, 68, 35, 89, 24, 78)(16, 70, 26, 80, 39, 93)(18, 72, 37, 91, 41, 95)(21, 75, 43, 97, 27, 81)(23, 77, 30, 84, 38, 92)(25, 79, 46, 100, 34, 88)(28, 82, 49, 103, 42, 96)(32, 86, 45, 99, 52, 106)(36, 90, 47, 101, 51, 105)(40, 94, 48, 102, 54, 108)(44, 98, 50, 104, 53, 107)(109, 163, 111, 165, 114, 168)(110, 164, 116, 170, 118, 172)(112, 166, 120, 174, 126, 180)(113, 167, 121, 175, 128, 182)(115, 169, 122, 176, 129, 183)(117, 171, 132, 186, 135, 189)(119, 173, 133, 187, 136, 190)(123, 177, 139, 193, 145, 199)(124, 178, 140, 194, 148, 202)(125, 179, 141, 195, 149, 203)(127, 181, 142, 196, 150, 204)(130, 184, 143, 197, 151, 205)(131, 185, 144, 198, 152, 206)(134, 188, 153, 207, 156, 210)(137, 191, 154, 208, 157, 211)(138, 192, 155, 209, 158, 212)(146, 200, 159, 213, 161, 215)(147, 201, 160, 214, 162, 216)
	L = (1, 112)(2, 117)(3, 120)(4, 124)(5, 127)(6, 126)(7, 109)(8, 132)(9, 134)(10, 135)(11, 110)(12, 140)(13, 142)(14, 111)(15, 113)(16, 137)(17, 138)(18, 148)(19, 147)(20, 150)(21, 114)(22, 146)(23, 115)(24, 153)(25, 116)(26, 125)(27, 156)(28, 118)(29, 131)(30, 119)(31, 121)(32, 154)(33, 155)(34, 160)(35, 159)(36, 122)(37, 128)(38, 123)(39, 130)(40, 157)(41, 158)(42, 162)(43, 161)(44, 129)(45, 141)(46, 144)(47, 133)(48, 149)(49, 152)(50, 136)(51, 139)(52, 143)(53, 145)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1220
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 6^36 ]

E19.1220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3 * Y2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y2)^2, Y3^-2 * Y1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y2 * Y1 * Y3^2 * Y1^-1, Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-2 * Y3 * Y1^2, Y1^6, Y1^-2 * Y2 * Y1^2 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 7, 61, 23, 77, 19, 73, 5, 59)(3, 57, 11, 65, 24, 78, 46, 100, 39, 93, 13, 67)(4, 58, 15, 69, 25, 79, 49, 103, 41, 95, 16, 70)(6, 60, 21, 75, 26, 80, 50, 104, 42, 96, 22, 76)(8, 62, 27, 81, 43, 97, 35, 89, 17, 71, 29, 83)(9, 63, 31, 85, 44, 98, 36, 90, 18, 72, 32, 86)(10, 64, 33, 87, 45, 99, 37, 91, 20, 74, 34, 88)(12, 66, 28, 82, 47, 101, 53, 107, 51, 105, 38, 92)(14, 68, 30, 84, 48, 102, 54, 108, 52, 106, 40, 94)(109, 163, 111, 165)(110, 164, 116, 170)(112, 166, 120, 174)(113, 167, 125, 179)(114, 168, 122, 176)(115, 169, 132, 186)(117, 171, 136, 190)(118, 172, 138, 192)(119, 173, 143, 197)(121, 175, 135, 189)(123, 177, 144, 198)(124, 178, 139, 193)(126, 180, 146, 200)(127, 181, 147, 201)(128, 182, 148, 202)(129, 183, 145, 199)(130, 184, 141, 195)(131, 185, 151, 205)(133, 187, 155, 209)(134, 188, 156, 210)(137, 191, 154, 208)(140, 194, 157, 211)(142, 196, 158, 212)(149, 203, 159, 213)(150, 204, 160, 214)(152, 206, 161, 215)(153, 207, 162, 216)
	L = (1, 112)(2, 117)(3, 120)(4, 122)(5, 126)(6, 109)(7, 133)(8, 136)(9, 138)(10, 110)(11, 144)(12, 114)(13, 139)(14, 111)(15, 145)(16, 141)(17, 146)(18, 148)(19, 149)(20, 113)(21, 143)(22, 135)(23, 152)(24, 155)(25, 156)(26, 115)(27, 124)(28, 118)(29, 157)(30, 116)(31, 130)(32, 158)(33, 121)(34, 154)(35, 123)(36, 129)(37, 119)(38, 128)(39, 159)(40, 125)(41, 160)(42, 127)(43, 161)(44, 162)(45, 131)(46, 140)(47, 134)(48, 132)(49, 142)(50, 137)(51, 150)(52, 147)(53, 153)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1219
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2^2 * Y3, (Y3^-1, Y1), (R * Y1)^2, (R * Y2)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y1^-1, Y2^-1, Y1^-1) ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 13, 67)(4, 58, 9, 63, 15, 69)(6, 60, 19, 73, 20, 74)(7, 61, 11, 65, 18, 72)(8, 62, 21, 75, 22, 76)(10, 64, 24, 78, 25, 79)(14, 68, 28, 82, 31, 85)(16, 70, 33, 87, 34, 88)(17, 71, 35, 89, 36, 90)(23, 77, 41, 95, 44, 98)(26, 80, 39, 93, 47, 101)(27, 81, 40, 94, 48, 102)(29, 83, 42, 96, 49, 103)(30, 84, 43, 97, 50, 104)(32, 86, 51, 105, 52, 106)(37, 91, 45, 99, 53, 107)(38, 92, 46, 100, 54, 108)(109, 163, 111, 165, 115, 169, 122, 176, 112, 166, 114, 168)(110, 164, 116, 170, 119, 173, 131, 185, 117, 171, 118, 172)(113, 167, 124, 178, 126, 180, 140, 194, 123, 177, 125, 179)(120, 174, 134, 188, 136, 190, 145, 199, 127, 181, 135, 189)(121, 175, 137, 191, 139, 193, 146, 200, 128, 182, 138, 192)(129, 183, 147, 201, 149, 203, 153, 207, 132, 186, 148, 202)(130, 184, 150, 204, 152, 206, 154, 208, 133, 187, 151, 205)(141, 195, 155, 209, 159, 213, 161, 215, 143, 197, 156, 210)(142, 196, 157, 211, 160, 214, 162, 216, 144, 198, 158, 212)
	L = (1, 112)(2, 117)(3, 114)(4, 115)(5, 123)(6, 122)(7, 109)(8, 118)(9, 119)(10, 131)(11, 110)(12, 127)(13, 128)(14, 111)(15, 126)(16, 125)(17, 140)(18, 113)(19, 136)(20, 139)(21, 132)(22, 133)(23, 116)(24, 149)(25, 152)(26, 135)(27, 145)(28, 120)(29, 138)(30, 146)(31, 121)(32, 124)(33, 143)(34, 144)(35, 159)(36, 160)(37, 134)(38, 137)(39, 148)(40, 153)(41, 129)(42, 151)(43, 154)(44, 130)(45, 147)(46, 150)(47, 156)(48, 161)(49, 158)(50, 162)(51, 141)(52, 142)(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) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1214
Graph:: bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y2^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (Y2, Y1), (R * Y2 * Y3^-1)^2, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y2^6 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 14, 68)(4, 58, 9, 63, 17, 71)(6, 60, 10, 64, 18, 72)(7, 61, 11, 65, 19, 73)(12, 66, 24, 78, 34, 88)(13, 67, 25, 79, 37, 91)(15, 69, 26, 80, 38, 92)(16, 70, 27, 81, 40, 94)(20, 74, 28, 82, 41, 95)(21, 75, 29, 83, 42, 96)(22, 76, 30, 84, 43, 97)(23, 77, 31, 85, 44, 98)(32, 86, 45, 99, 50, 104)(33, 87, 46, 100, 51, 105)(35, 89, 47, 101, 52, 106)(36, 90, 48, 102, 53, 107)(39, 93, 49, 103, 54, 108)(109, 163, 111, 165, 120, 174, 140, 194, 129, 183, 114, 168)(110, 164, 116, 170, 132, 186, 153, 207, 137, 191, 118, 172)(112, 166, 124, 178, 141, 195, 130, 184, 147, 201, 123, 177)(113, 167, 122, 176, 142, 196, 158, 212, 150, 204, 126, 180)(115, 169, 128, 182, 143, 197, 121, 175, 144, 198, 131, 185)(117, 171, 135, 189, 154, 208, 138, 192, 157, 211, 134, 188)(119, 173, 136, 190, 155, 209, 133, 187, 156, 210, 139, 193)(125, 179, 148, 202, 159, 213, 151, 205, 162, 216, 146, 200)(127, 181, 149, 203, 160, 214, 145, 199, 161, 215, 152, 206)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 125)(6, 128)(7, 109)(8, 133)(9, 119)(10, 136)(11, 110)(12, 141)(13, 123)(14, 145)(15, 111)(16, 140)(17, 127)(18, 149)(19, 113)(20, 130)(21, 147)(22, 114)(23, 124)(24, 154)(25, 134)(26, 116)(27, 153)(28, 138)(29, 157)(30, 118)(31, 135)(32, 131)(33, 143)(34, 159)(35, 120)(36, 129)(37, 146)(38, 122)(39, 144)(40, 158)(41, 151)(42, 162)(43, 126)(44, 148)(45, 139)(46, 155)(47, 132)(48, 137)(49, 156)(50, 152)(51, 160)(52, 142)(53, 150)(54, 161)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1215
Graph:: simple bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y2 * Y3^-1)^2, (Y3, Y1), (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y1 * Y2 * Y1^-1, Y2^6, Y2^3 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 18, 72)(6, 60, 22, 76, 24, 78)(7, 61, 11, 65, 21, 75)(8, 62, 28, 82, 27, 81)(10, 64, 32, 86, 14, 68)(13, 67, 29, 83, 40, 94)(16, 70, 33, 87, 44, 98)(17, 71, 30, 84, 20, 74)(19, 73, 26, 80, 35, 89)(23, 77, 49, 103, 46, 100)(25, 79, 34, 88, 48, 102)(31, 85, 47, 101, 38, 92)(36, 90, 51, 105, 45, 99)(37, 91, 52, 106, 39, 93)(41, 95, 53, 107, 50, 104)(42, 96, 54, 108, 43, 97)(109, 163, 111, 165, 121, 175, 146, 200, 133, 187, 114, 168)(110, 164, 116, 170, 137, 191, 157, 211, 142, 196, 118, 172)(112, 166, 125, 179, 147, 201, 134, 188, 153, 207, 124, 178)(113, 167, 127, 181, 148, 202, 152, 206, 156, 210, 128, 182)(115, 169, 131, 185, 149, 203, 122, 176, 150, 204, 135, 189)(117, 171, 130, 184, 145, 199, 120, 174, 144, 198, 139, 193)(119, 173, 141, 195, 161, 215, 138, 192, 162, 216, 143, 197)(123, 177, 129, 183, 155, 209, 158, 212, 132, 186, 151, 205)(126, 180, 140, 194, 160, 214, 136, 190, 159, 213, 154, 208)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 126)(6, 131)(7, 109)(8, 138)(9, 119)(10, 141)(11, 110)(12, 118)(13, 147)(14, 124)(15, 140)(16, 111)(17, 146)(18, 129)(19, 132)(20, 155)(21, 113)(22, 157)(23, 134)(24, 154)(25, 153)(26, 114)(27, 125)(28, 128)(29, 145)(30, 139)(31, 116)(32, 152)(33, 120)(34, 144)(35, 130)(36, 162)(37, 161)(38, 135)(39, 149)(40, 160)(41, 121)(42, 133)(43, 156)(44, 123)(45, 150)(46, 127)(47, 136)(48, 159)(49, 143)(50, 148)(51, 151)(52, 158)(53, 137)(54, 142)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1217
Graph:: simple bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1224 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y3)^2, (Y3^-1, Y1), (Y2^-1 * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y3 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^6, Y3^-1 * Y2^-1 * Y3^-1 * Y2^3, Y2^2 * Y1 * Y2^-2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 18, 72)(6, 60, 22, 76, 24, 78)(7, 61, 11, 65, 21, 75)(8, 62, 28, 82, 26, 80)(10, 64, 32, 86, 17, 71)(13, 67, 29, 83, 40, 94)(14, 68, 31, 85, 20, 74)(16, 70, 37, 91, 45, 99)(19, 73, 27, 81, 35, 89)(23, 77, 30, 84, 50, 104)(25, 79, 34, 88, 48, 102)(33, 87, 47, 101, 38, 92)(36, 90, 51, 105, 42, 96)(39, 93, 52, 106, 44, 98)(41, 95, 49, 103, 54, 108)(43, 97, 46, 100, 53, 107)(109, 163, 111, 165, 121, 175, 146, 200, 133, 187, 114, 168)(110, 164, 116, 170, 137, 191, 145, 199, 142, 196, 118, 172)(112, 166, 125, 179, 147, 201, 134, 188, 154, 208, 124, 178)(113, 167, 127, 181, 148, 202, 158, 212, 156, 210, 128, 182)(115, 169, 131, 185, 149, 203, 122, 176, 150, 204, 135, 189)(117, 171, 139, 193, 160, 214, 143, 197, 161, 215, 138, 192)(119, 173, 141, 195, 157, 211, 130, 184, 144, 198, 120, 174)(123, 177, 151, 205, 155, 209, 126, 180, 132, 186, 152, 206)(129, 183, 153, 207, 162, 216, 140, 194, 159, 213, 136, 190)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 126)(6, 131)(7, 109)(8, 130)(9, 119)(10, 141)(11, 110)(12, 139)(13, 147)(14, 124)(15, 128)(16, 111)(17, 146)(18, 129)(19, 140)(20, 153)(21, 113)(22, 138)(23, 134)(24, 158)(25, 154)(26, 114)(27, 125)(28, 132)(29, 160)(30, 116)(31, 145)(32, 155)(33, 143)(34, 161)(35, 118)(36, 142)(37, 120)(38, 135)(39, 149)(40, 152)(41, 121)(42, 133)(43, 159)(44, 162)(45, 123)(46, 150)(47, 127)(48, 151)(49, 137)(50, 136)(51, 156)(52, 157)(53, 144)(54, 148)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1212
Graph:: simple bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1225 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y2^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y2^6 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 8, 62)(4, 58, 9, 63, 17, 71)(6, 60, 18, 72, 10, 64)(7, 61, 11, 65, 19, 73)(13, 67, 24, 78, 32, 86)(14, 68, 33, 87, 25, 79)(15, 69, 34, 88, 26, 80)(16, 70, 40, 94, 27, 81)(20, 74, 41, 95, 28, 82)(21, 75, 29, 83, 42, 96)(22, 76, 43, 97, 30, 84)(23, 77, 44, 98, 31, 85)(35, 89, 50, 104, 45, 99)(36, 90, 46, 100, 51, 105)(37, 91, 47, 101, 52, 106)(38, 92, 48, 102, 53, 107)(39, 93, 49, 103, 54, 108)(109, 163, 111, 165, 121, 175, 143, 197, 129, 183, 114, 168)(110, 164, 116, 170, 132, 186, 153, 207, 137, 191, 118, 172)(112, 166, 124, 178, 144, 198, 130, 184, 147, 201, 123, 177)(113, 167, 120, 174, 140, 194, 158, 212, 150, 204, 126, 180)(115, 169, 128, 182, 145, 199, 122, 176, 146, 200, 131, 185)(117, 171, 135, 189, 154, 208, 138, 192, 157, 211, 134, 188)(119, 173, 136, 190, 155, 209, 133, 187, 156, 210, 139, 193)(125, 179, 148, 202, 159, 213, 151, 205, 162, 216, 142, 196)(127, 181, 149, 203, 160, 214, 141, 195, 161, 215, 152, 206)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 128)(7, 109)(8, 133)(9, 119)(10, 136)(11, 110)(12, 141)(13, 144)(14, 123)(15, 111)(16, 143)(17, 127)(18, 149)(19, 113)(20, 130)(21, 147)(22, 114)(23, 124)(24, 154)(25, 134)(26, 116)(27, 153)(28, 138)(29, 157)(30, 118)(31, 135)(32, 159)(33, 142)(34, 120)(35, 131)(36, 145)(37, 121)(38, 129)(39, 146)(40, 158)(41, 151)(42, 162)(43, 126)(44, 148)(45, 139)(46, 155)(47, 132)(48, 137)(49, 156)(50, 152)(51, 160)(52, 140)(53, 150)(54, 161)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1216
Graph:: simple bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1226 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y2 * Y1^-1)^2, (Y3^-1, Y1), (Y2^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, Y2^-3 * Y3^-1 * Y2^-1 * Y3^-1, Y2^6, (Y1^-1 * Y3^-1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 10, 64)(4, 58, 9, 63, 17, 71)(6, 60, 18, 72, 22, 76)(7, 61, 11, 65, 20, 74)(8, 62, 26, 80, 19, 73)(13, 67, 27, 81, 37, 91)(14, 68, 36, 90, 31, 85)(15, 69, 38, 92, 33, 87)(16, 70, 43, 97, 29, 83)(21, 75, 45, 99, 34, 88)(23, 77, 32, 86, 35, 89)(24, 78, 44, 98, 30, 84)(25, 79, 46, 100, 28, 82)(39, 93, 47, 101, 53, 107)(40, 94, 48, 102, 54, 108)(41, 95, 49, 103, 52, 106)(42, 96, 50, 104, 51, 105)(109, 163, 111, 165, 121, 175, 134, 188, 131, 185, 114, 168)(110, 164, 116, 170, 135, 189, 130, 184, 140, 194, 118, 172)(112, 166, 124, 178, 147, 201, 132, 186, 150, 204, 123, 177)(113, 167, 126, 180, 145, 199, 120, 174, 143, 197, 127, 181)(115, 169, 129, 183, 148, 202, 122, 176, 149, 203, 133, 187)(117, 171, 138, 192, 155, 209, 141, 195, 158, 212, 137, 191)(119, 173, 139, 193, 156, 210, 136, 190, 157, 211, 142, 196)(125, 179, 146, 200, 161, 215, 151, 205, 159, 213, 152, 206)(128, 182, 154, 208, 162, 216, 153, 207, 160, 214, 144, 198)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 129)(7, 109)(8, 136)(9, 119)(10, 139)(11, 110)(12, 144)(13, 147)(14, 123)(15, 111)(16, 134)(17, 128)(18, 153)(19, 154)(20, 113)(21, 132)(22, 142)(23, 150)(24, 114)(25, 124)(26, 133)(27, 155)(28, 137)(29, 116)(30, 130)(31, 141)(32, 158)(33, 118)(34, 138)(35, 159)(36, 146)(37, 161)(38, 120)(39, 148)(40, 121)(41, 131)(42, 149)(43, 127)(44, 126)(45, 152)(46, 151)(47, 156)(48, 135)(49, 140)(50, 157)(51, 160)(52, 143)(53, 162)(54, 145)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1218
Graph:: simple bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3^-1, Y1), (Y2 * Y1)^2, (Y2^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1 * Y3)^2, Y2 * Y1^-1 * Y2^-3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, Y1^-1 * Y2 * Y1^-1 * Y2^3, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 18, 72)(6, 60, 21, 75, 8, 62)(7, 61, 11, 65, 20, 74)(10, 64, 30, 84, 19, 73)(13, 67, 26, 80, 39, 93)(14, 68, 35, 89, 34, 88)(16, 70, 37, 91, 29, 83)(17, 71, 43, 97, 33, 87)(22, 76, 46, 100, 27, 81)(23, 77, 32, 86, 36, 90)(24, 78, 44, 98, 28, 82)(25, 79, 45, 99, 31, 85)(38, 92, 47, 101, 54, 108)(40, 94, 48, 102, 51, 105)(41, 95, 49, 103, 53, 107)(42, 96, 50, 104, 52, 106)(109, 163, 111, 165, 121, 175, 138, 192, 131, 185, 114, 168)(110, 164, 116, 170, 134, 188, 123, 177, 140, 194, 118, 172)(112, 166, 125, 179, 146, 200, 132, 186, 150, 204, 124, 178)(113, 167, 127, 181, 147, 201, 129, 183, 144, 198, 120, 174)(115, 169, 130, 184, 148, 202, 122, 176, 149, 203, 133, 187)(117, 171, 137, 191, 155, 209, 141, 195, 158, 212, 136, 190)(119, 173, 139, 193, 156, 210, 135, 189, 157, 211, 142, 196)(126, 180, 152, 206, 162, 216, 145, 199, 160, 214, 151, 205)(128, 182, 143, 197, 159, 213, 153, 207, 161, 215, 154, 208)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 126)(6, 130)(7, 109)(8, 135)(9, 119)(10, 139)(11, 110)(12, 143)(13, 146)(14, 124)(15, 142)(16, 111)(17, 138)(18, 128)(19, 153)(20, 113)(21, 154)(22, 132)(23, 150)(24, 114)(25, 125)(26, 155)(27, 136)(28, 116)(29, 123)(30, 133)(31, 141)(32, 158)(33, 118)(34, 137)(35, 145)(36, 160)(37, 120)(38, 148)(39, 162)(40, 121)(41, 131)(42, 149)(43, 127)(44, 129)(45, 151)(46, 152)(47, 156)(48, 134)(49, 140)(50, 157)(51, 147)(52, 161)(53, 144)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1213
Graph:: simple bipartite
	v = 27 e = 108 f = 45
	degree seq :: [ 6^18, 12^9 ]

E19.1228 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = (C3 x ((C3 x C3) : C2)) : C2 (small group id <108, 40>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (Y3^-1 * Y1^-1)^2, (Y3 * Y1)^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1, Y1^-1), Y3^3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 13, 67)(4, 58, 15, 69, 18, 72)(6, 60, 10, 64, 20, 74)(7, 61, 22, 76, 9, 63)(11, 65, 29, 83, 19, 73)(12, 66, 31, 85, 33, 87)(14, 68, 35, 89, 24, 78)(16, 70, 37, 91, 40, 94)(17, 71, 27, 81, 41, 95)(21, 75, 43, 97, 26, 80)(23, 77, 30, 84, 38, 92)(25, 79, 46, 100, 34, 88)(28, 82, 49, 103, 42, 96)(32, 86, 45, 99, 52, 106)(36, 90, 47, 101, 51, 105)(39, 93, 48, 102, 54, 108)(44, 98, 50, 104, 53, 107)(109, 163, 111, 165, 114, 168)(110, 164, 116, 170, 118, 172)(112, 166, 124, 178, 120, 174)(113, 167, 121, 175, 128, 182)(115, 169, 129, 183, 122, 176)(117, 171, 134, 188, 132, 186)(119, 173, 136, 190, 133, 187)(123, 177, 145, 199, 139, 193)(125, 179, 140, 194, 147, 201)(126, 180, 148, 202, 141, 195)(127, 181, 150, 204, 142, 196)(130, 184, 151, 205, 143, 197)(131, 185, 144, 198, 152, 206)(135, 189, 153, 207, 156, 210)(137, 191, 157, 211, 154, 208)(138, 192, 155, 209, 158, 212)(146, 200, 159, 213, 161, 215)(149, 203, 160, 214, 162, 216)
	L = (1, 112)(2, 117)(3, 120)(4, 125)(5, 127)(6, 124)(7, 109)(8, 132)(9, 135)(10, 134)(11, 110)(12, 140)(13, 142)(14, 111)(15, 113)(16, 147)(17, 137)(18, 138)(19, 149)(20, 150)(21, 114)(22, 146)(23, 115)(24, 153)(25, 116)(26, 156)(27, 126)(28, 118)(29, 131)(30, 119)(31, 121)(32, 154)(33, 155)(34, 160)(35, 159)(36, 122)(37, 128)(38, 123)(39, 157)(40, 158)(41, 130)(42, 162)(43, 161)(44, 129)(45, 141)(46, 144)(47, 133)(48, 148)(49, 152)(50, 136)(51, 139)(52, 143)(53, 145)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1229
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 6^36 ]

E19.1229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = (C3 x ((C3 x C3) : C2)) : C2 (small group id <108, 40>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y1^-1)^3, Y1^-2 * Y3 * Y1^2 * Y3, Y1^6, (Y3 * Y2)^3, Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2, (Y2 * Y1^-1)^3, Y2 * Y1^2 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 6, 60, 18, 72, 17, 71, 5, 59)(3, 57, 9, 63, 19, 73, 38, 92, 32, 86, 11, 65)(4, 58, 12, 66, 20, 74, 40, 94, 35, 89, 14, 68)(7, 61, 21, 75, 36, 90, 27, 81, 15, 69, 23, 77)(8, 62, 24, 78, 37, 91, 33, 87, 16, 70, 26, 80)(10, 64, 25, 79, 39, 93, 51, 105, 48, 102, 30, 84)(13, 67, 22, 76, 41, 95, 50, 104, 49, 103, 34, 88)(28, 82, 46, 100, 52, 106, 43, 97, 31, 85, 47, 101)(29, 83, 45, 99, 53, 107, 44, 98, 54, 108, 42, 96)(109, 163, 111, 165)(110, 164, 115, 169)(112, 166, 121, 175)(113, 167, 123, 177)(114, 168, 127, 181)(116, 170, 133, 187)(117, 171, 135, 189)(118, 172, 137, 191)(119, 173, 129, 183)(120, 174, 136, 190)(122, 176, 139, 193)(124, 178, 138, 192)(125, 179, 140, 194)(126, 180, 144, 198)(128, 182, 149, 203)(130, 184, 151, 205)(131, 185, 146, 200)(132, 186, 150, 204)(134, 188, 152, 206)(141, 195, 153, 207)(142, 196, 154, 208)(143, 197, 157, 211)(145, 199, 159, 213)(147, 201, 161, 215)(148, 202, 160, 214)(155, 209, 158, 212)(156, 210, 162, 216)
	L = (1, 112)(2, 116)(3, 118)(4, 109)(5, 124)(6, 128)(7, 130)(8, 110)(9, 136)(10, 111)(11, 139)(12, 141)(13, 137)(14, 132)(15, 142)(16, 113)(17, 143)(18, 145)(19, 147)(20, 114)(21, 150)(22, 115)(23, 152)(24, 122)(25, 151)(26, 148)(27, 153)(28, 117)(29, 121)(30, 154)(31, 119)(32, 156)(33, 120)(34, 123)(35, 125)(36, 158)(37, 126)(38, 160)(39, 127)(40, 134)(41, 161)(42, 129)(43, 133)(44, 131)(45, 135)(46, 138)(47, 159)(48, 140)(49, 162)(50, 144)(51, 155)(52, 146)(53, 149)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1228
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1230 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map::
	R = (1, 56, 2, 59, 5, 65, 11, 64, 10, 58, 4, 55)(3, 61, 7, 66, 12, 74, 20, 71, 17, 62, 8, 57)(6, 67, 13, 73, 19, 72, 18, 63, 9, 68, 14, 60)(15, 77, 23, 81, 27, 79, 25, 70, 16, 78, 24, 69)(21, 82, 28, 80, 26, 84, 30, 76, 22, 83, 29, 75)(31, 91, 37, 87, 33, 93, 39, 86, 32, 92, 38, 85)(34, 94, 40, 90, 36, 96, 42, 89, 35, 95, 41, 88)(43, 103, 49, 99, 45, 105, 51, 98, 44, 104, 50, 97)(46, 106, 52, 102, 48, 108, 54, 101, 47, 107, 53, 100)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 54)(50, 52)(51, 53)(55, 57)(56, 60)(58, 63)(59, 66)(61, 69)(62, 70)(64, 71)(65, 73)(67, 75)(68, 76)(72, 80)(74, 81)(77, 85)(78, 86)(79, 87)(82, 88)(83, 89)(84, 90)(91, 97)(92, 98)(93, 99)(94, 100)(95, 101)(96, 102)(103, 108)(104, 106)(105, 107)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.1231 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^6, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 55, 3, 57, 8, 62, 17, 71, 10, 64, 4, 58)(2, 56, 5, 59, 12, 66, 21, 75, 14, 68, 6, 60)(7, 61, 15, 69, 24, 78, 18, 72, 9, 63, 16, 70)(11, 65, 19, 73, 28, 82, 22, 76, 13, 67, 20, 74)(23, 77, 31, 85, 26, 80, 33, 87, 25, 79, 32, 86)(27, 81, 34, 88, 30, 84, 36, 90, 29, 83, 35, 89)(37, 91, 43, 97, 39, 93, 45, 99, 38, 92, 44, 98)(40, 94, 46, 100, 42, 96, 48, 102, 41, 95, 47, 101)(49, 103, 53, 107, 51, 105, 52, 106, 50, 104, 54, 108)(109, 110)(111, 115)(112, 117)(113, 119)(114, 121)(116, 120)(118, 122)(123, 131)(124, 133)(125, 132)(126, 134)(127, 135)(128, 137)(129, 136)(130, 138)(139, 145)(140, 146)(141, 147)(142, 148)(143, 149)(144, 150)(151, 157)(152, 158)(153, 159)(154, 160)(155, 161)(156, 162)(163, 164)(165, 169)(166, 171)(167, 173)(168, 175)(170, 174)(172, 176)(177, 185)(178, 187)(179, 186)(180, 188)(181, 189)(182, 191)(183, 190)(184, 192)(193, 199)(194, 200)(195, 201)(196, 202)(197, 203)(198, 204)(205, 211)(206, 212)(207, 213)(208, 214)(209, 215)(210, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1233
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 2^54, 12^9 ]

E19.1232 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = C6 x D18 (small group id <108, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2^2 * Y1^-2 * Y2 * Y1^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2, Y1^6, Y3 * Y2^2 * Y3 * Y2^-2, Y2^6, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58)(2, 56, 6, 60)(3, 57, 8, 62)(5, 59, 12, 66)(7, 61, 15, 69)(9, 63, 17, 71)(10, 64, 18, 72)(11, 65, 19, 73)(13, 67, 21, 75)(14, 68, 22, 76)(16, 70, 23, 77)(20, 74, 27, 81)(24, 78, 31, 85)(25, 79, 32, 86)(26, 80, 33, 87)(28, 82, 34, 88)(29, 83, 35, 89)(30, 84, 36, 90)(37, 91, 43, 97)(38, 92, 44, 98)(39, 93, 45, 99)(40, 94, 46, 100)(41, 95, 47, 101)(42, 96, 48, 102)(49, 103, 54, 108)(50, 104, 52, 106)(51, 105, 53, 107)(109, 110, 113, 119, 115, 111)(112, 117, 120, 128, 123, 118)(114, 121, 127, 124, 116, 122)(125, 132, 135, 134, 126, 133)(129, 136, 131, 138, 130, 137)(139, 145, 141, 147, 140, 146)(142, 148, 144, 150, 143, 149)(151, 157, 153, 159, 152, 158)(154, 160, 156, 162, 155, 161)(163, 165, 169, 173, 167, 164)(166, 172, 177, 182, 174, 171)(168, 176, 170, 178, 181, 175)(179, 187, 180, 188, 189, 186)(183, 191, 184, 192, 185, 190)(193, 200, 194, 201, 195, 199)(196, 203, 197, 204, 198, 202)(205, 212, 206, 213, 207, 211)(208, 215, 209, 216, 210, 214)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E19.1234
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1233 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^6, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 55, 109, 163, 3, 57, 111, 165, 8, 62, 116, 170, 17, 71, 125, 179, 10, 64, 118, 172, 4, 58, 112, 166)(2, 56, 110, 164, 5, 59, 113, 167, 12, 66, 120, 174, 21, 75, 129, 183, 14, 68, 122, 176, 6, 60, 114, 168)(7, 61, 115, 169, 15, 69, 123, 177, 24, 78, 132, 186, 18, 72, 126, 180, 9, 63, 117, 171, 16, 70, 124, 178)(11, 65, 119, 173, 19, 73, 127, 181, 28, 82, 136, 190, 22, 76, 130, 184, 13, 67, 121, 175, 20, 74, 128, 182)(23, 77, 131, 185, 31, 85, 139, 193, 26, 80, 134, 188, 33, 87, 141, 195, 25, 79, 133, 187, 32, 86, 140, 194)(27, 81, 135, 189, 34, 88, 142, 196, 30, 84, 138, 192, 36, 90, 144, 198, 29, 83, 137, 191, 35, 89, 143, 197)(37, 91, 145, 199, 43, 97, 151, 205, 39, 93, 147, 201, 45, 99, 153, 207, 38, 92, 146, 200, 44, 98, 152, 206)(40, 94, 148, 202, 46, 100, 154, 208, 42, 96, 150, 204, 48, 102, 156, 210, 41, 95, 149, 203, 47, 101, 155, 209)(49, 103, 157, 211, 53, 107, 161, 215, 51, 105, 159, 213, 52, 106, 160, 214, 50, 104, 158, 212, 54, 108, 162, 216)
	L = (1, 56)(2, 55)(3, 61)(4, 63)(5, 65)(6, 67)(7, 57)(8, 66)(9, 58)(10, 68)(11, 59)(12, 62)(13, 60)(14, 64)(15, 77)(16, 79)(17, 78)(18, 80)(19, 81)(20, 83)(21, 82)(22, 84)(23, 69)(24, 71)(25, 70)(26, 72)(27, 73)(28, 75)(29, 74)(30, 76)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 97)(50, 98)(51, 99)(52, 100)(53, 101)(54, 102)(109, 164)(110, 163)(111, 169)(112, 171)(113, 173)(114, 175)(115, 165)(116, 174)(117, 166)(118, 176)(119, 167)(120, 170)(121, 168)(122, 172)(123, 185)(124, 187)(125, 186)(126, 188)(127, 189)(128, 191)(129, 190)(130, 192)(131, 177)(132, 179)(133, 178)(134, 180)(135, 181)(136, 183)(137, 182)(138, 184)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 193)(146, 194)(147, 195)(148, 196)(149, 197)(150, 198)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 205)(158, 206)(159, 207)(160, 208)(161, 209)(162, 210)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1231
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 63
	degree seq :: [ 24^9 ]

E19.1234 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = C6 x D18 (small group id <108, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2^2 * Y1^-2 * Y2 * Y1^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2, Y1^6, Y3 * Y2^2 * Y3 * Y2^-2, Y2^6, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 6, 60, 114, 168)(3, 57, 111, 165, 8, 62, 116, 170)(5, 59, 113, 167, 12, 66, 120, 174)(7, 61, 115, 169, 15, 69, 123, 177)(9, 63, 117, 171, 17, 71, 125, 179)(10, 64, 118, 172, 18, 72, 126, 180)(11, 65, 119, 173, 19, 73, 127, 181)(13, 67, 121, 175, 21, 75, 129, 183)(14, 68, 122, 176, 22, 76, 130, 184)(16, 70, 124, 178, 23, 77, 131, 185)(20, 74, 128, 182, 27, 81, 135, 189)(24, 78, 132, 186, 31, 85, 139, 193)(25, 79, 133, 187, 32, 86, 140, 194)(26, 80, 134, 188, 33, 87, 141, 195)(28, 82, 136, 190, 34, 88, 142, 196)(29, 83, 137, 191, 35, 89, 143, 197)(30, 84, 138, 192, 36, 90, 144, 198)(37, 91, 145, 199, 43, 97, 151, 205)(38, 92, 146, 200, 44, 98, 152, 206)(39, 93, 147, 201, 45, 99, 153, 207)(40, 94, 148, 202, 46, 100, 154, 208)(41, 95, 149, 203, 47, 101, 155, 209)(42, 96, 150, 204, 48, 102, 156, 210)(49, 103, 157, 211, 54, 108, 162, 216)(50, 104, 158, 212, 52, 106, 160, 214)(51, 105, 159, 213, 53, 107, 161, 215)
	L = (1, 56)(2, 59)(3, 55)(4, 63)(5, 65)(6, 67)(7, 57)(8, 68)(9, 66)(10, 58)(11, 61)(12, 74)(13, 73)(14, 60)(15, 64)(16, 62)(17, 78)(18, 79)(19, 70)(20, 69)(21, 82)(22, 83)(23, 84)(24, 81)(25, 71)(26, 72)(27, 80)(28, 77)(29, 75)(30, 76)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 87)(38, 85)(39, 86)(40, 90)(41, 88)(42, 89)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 99)(50, 97)(51, 98)(52, 102)(53, 100)(54, 101)(109, 165)(110, 163)(111, 169)(112, 172)(113, 164)(114, 176)(115, 173)(116, 178)(117, 166)(118, 177)(119, 167)(120, 171)(121, 168)(122, 170)(123, 182)(124, 181)(125, 187)(126, 188)(127, 175)(128, 174)(129, 191)(130, 192)(131, 190)(132, 179)(133, 180)(134, 189)(135, 186)(136, 183)(137, 184)(138, 185)(139, 200)(140, 201)(141, 199)(142, 203)(143, 204)(144, 202)(145, 193)(146, 194)(147, 195)(148, 196)(149, 197)(150, 198)(151, 212)(152, 213)(153, 211)(154, 215)(155, 216)(156, 214)(157, 205)(158, 206)(159, 207)(160, 208)(161, 209)(162, 210)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1232
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 45
	degree seq :: [ 8^27 ]

E19.1235 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^6, (Y3 * Y2^-1)^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 9, 63)(5, 59, 11, 65)(6, 60, 13, 67)(8, 62, 12, 66)(10, 64, 14, 68)(15, 69, 23, 77)(16, 70, 25, 79)(17, 71, 24, 78)(18, 72, 26, 80)(19, 73, 27, 81)(20, 74, 29, 83)(21, 75, 28, 82)(22, 76, 30, 84)(31, 85, 37, 91)(32, 86, 38, 92)(33, 87, 39, 93)(34, 88, 40, 94)(35, 89, 41, 95)(36, 90, 42, 96)(43, 97, 49, 103)(44, 98, 50, 104)(45, 99, 51, 105)(46, 100, 52, 106)(47, 101, 53, 107)(48, 102, 54, 108)(109, 163, 111, 165, 116, 170, 125, 179, 118, 172, 112, 166)(110, 164, 113, 167, 120, 174, 129, 183, 122, 176, 114, 168)(115, 169, 123, 177, 132, 186, 126, 180, 117, 171, 124, 178)(119, 173, 127, 181, 136, 190, 130, 184, 121, 175, 128, 182)(131, 185, 139, 193, 134, 188, 141, 195, 133, 187, 140, 194)(135, 189, 142, 196, 138, 192, 144, 198, 137, 191, 143, 197)(145, 199, 151, 205, 147, 201, 153, 207, 146, 200, 152, 206)(148, 202, 154, 208, 150, 204, 156, 210, 149, 203, 155, 209)(157, 211, 161, 215, 159, 213, 160, 214, 158, 212, 162, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y3^-1 * Y1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3^9, Y3^4 * Y1 * Y2^-1 * Y3^3 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 17, 71)(6, 60, 8, 62)(7, 61, 21, 75)(9, 63, 24, 78)(12, 66, 16, 70)(13, 67, 27, 81)(14, 68, 19, 73)(15, 69, 26, 80)(18, 72, 30, 84)(20, 74, 23, 77)(22, 76, 33, 87)(25, 79, 36, 90)(28, 82, 39, 93)(29, 83, 38, 92)(31, 85, 42, 96)(32, 86, 35, 89)(34, 88, 45, 99)(37, 91, 48, 102)(40, 94, 51, 105)(41, 95, 50, 104)(43, 97, 53, 107)(44, 98, 47, 101)(46, 100, 52, 106)(49, 103, 54, 108)(109, 163, 111, 165, 120, 174, 116, 170, 127, 181, 113, 167)(110, 164, 115, 169, 124, 178, 112, 166, 122, 176, 117, 171)(114, 168, 121, 175, 125, 179, 131, 185, 119, 173, 126, 180)(118, 172, 130, 184, 132, 186, 123, 177, 129, 183, 133, 187)(128, 182, 136, 190, 138, 192, 143, 197, 135, 189, 139, 193)(134, 188, 142, 196, 144, 198, 137, 191, 141, 195, 145, 199)(140, 194, 148, 202, 150, 204, 155, 209, 147, 201, 151, 205)(146, 200, 154, 208, 156, 210, 149, 203, 153, 207, 157, 211)(152, 206, 160, 214, 161, 215, 158, 212, 159, 213, 162, 216)
	L = (1, 112)(2, 116)(3, 121)(4, 123)(5, 126)(6, 109)(7, 130)(8, 131)(9, 133)(10, 110)(11, 127)(12, 117)(13, 136)(14, 111)(15, 137)(16, 113)(17, 120)(18, 139)(19, 115)(20, 114)(21, 122)(22, 142)(23, 143)(24, 124)(25, 145)(26, 118)(27, 119)(28, 148)(29, 149)(30, 125)(31, 151)(32, 128)(33, 129)(34, 154)(35, 155)(36, 132)(37, 157)(38, 134)(39, 135)(40, 160)(41, 152)(42, 138)(43, 162)(44, 140)(45, 141)(46, 159)(47, 158)(48, 144)(49, 161)(50, 146)(51, 147)(52, 153)(53, 150)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1237 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y3, (R * Y1)^2, R * Y2 * R * Y3, Y1^6, Y2 * Y1 * Y3 * Y1 * Y2 * Y1, Y1^6, Y2 * Y1^-3 * Y3 * Y1^-3 * Y2 * Y1^-3 ]
Map::
	R = (1, 56, 2, 59, 5, 65, 11, 64, 10, 58, 4, 55)(3, 61, 7, 69, 15, 79, 25, 71, 17, 62, 8, 57)(6, 67, 13, 77, 23, 90, 36, 78, 24, 68, 14, 60)(9, 72, 18, 83, 29, 96, 42, 81, 27, 70, 16, 63)(12, 75, 21, 88, 34, 103, 49, 89, 35, 76, 22, 66)(19, 85, 31, 100, 46, 106, 52, 99, 45, 84, 30, 73)(20, 86, 32, 101, 47, 93, 39, 102, 48, 87, 33, 74)(26, 94, 40, 104, 50, 92, 38, 108, 54, 95, 41, 80)(28, 97, 43, 105, 51, 98, 44, 107, 53, 91, 37, 82)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 20)(14, 21)(15, 26)(17, 28)(18, 30)(22, 32)(23, 37)(24, 38)(25, 39)(27, 40)(29, 44)(31, 33)(34, 50)(35, 51)(36, 52)(41, 48)(42, 49)(43, 47)(45, 53)(46, 54)(55, 57)(56, 60)(58, 63)(59, 66)(61, 70)(62, 67)(64, 73)(65, 74)(68, 75)(69, 80)(71, 82)(72, 84)(76, 86)(77, 91)(78, 92)(79, 93)(81, 94)(83, 98)(85, 87)(88, 104)(89, 105)(90, 106)(95, 102)(96, 103)(97, 101)(99, 107)(100, 108)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.1238 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y3 * Y1 * Y2 * Y3 * Y1^-1, (Y3 * Y2)^3, (Y1^-1 * Y3)^3, (Y2 * Y1^-1)^3, Y3 * Y1^2 * Y2 * Y1^-2, Y1^6, Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2, Y1^-1 * Y2 * Y1^2 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 72, 18, 71, 17, 59, 5, 55)(3, 63, 9, 81, 27, 103, 49, 87, 33, 65, 11, 57)(4, 66, 12, 73, 19, 95, 41, 90, 36, 68, 14, 58)(7, 75, 21, 100, 46, 88, 34, 70, 16, 77, 23, 61)(8, 78, 24, 93, 39, 83, 29, 104, 50, 80, 26, 62)(10, 79, 25, 96, 42, 108, 54, 105, 51, 85, 31, 64)(13, 76, 22, 98, 44, 107, 53, 106, 52, 89, 35, 67)(15, 91, 37, 102, 48, 86, 32, 94, 40, 82, 28, 69)(20, 97, 43, 92, 38, 101, 47, 84, 30, 99, 45, 74)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 30)(11, 21)(12, 29)(14, 32)(16, 31)(17, 38)(18, 39)(20, 44)(22, 48)(23, 41)(24, 47)(26, 49)(27, 42)(33, 52)(34, 45)(35, 50)(36, 51)(37, 43)(40, 54)(46, 53)(55, 58)(56, 62)(57, 64)(59, 70)(60, 74)(61, 76)(63, 83)(65, 86)(66, 88)(67, 84)(68, 78)(69, 89)(71, 87)(72, 94)(73, 96)(75, 101)(77, 103)(79, 102)(80, 97)(81, 98)(82, 99)(85, 104)(90, 106)(91, 95)(92, 105)(93, 107)(100, 108)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1239
Transitivity :: VT+ AT
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.1239 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2, (Y3 * Y2)^3, (Y2 * Y1^-1)^3, (Y3 * Y1^-1)^3, Y1^6, Y1^-2 * Y2 * Y1^2 * Y3, Y2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 72, 18, 71, 17, 59, 5, 55)(3, 63, 9, 74, 20, 98, 44, 86, 32, 65, 11, 57)(4, 66, 12, 87, 33, 102, 48, 90, 36, 68, 14, 58)(7, 75, 21, 94, 40, 82, 28, 103, 49, 77, 23, 61)(8, 78, 24, 104, 50, 81, 27, 69, 15, 80, 26, 62)(10, 79, 25, 96, 42, 108, 54, 105, 51, 84, 30, 64)(13, 76, 22, 99, 45, 107, 53, 106, 52, 89, 35, 67)(16, 91, 37, 101, 47, 85, 31, 93, 39, 88, 34, 70)(19, 95, 41, 92, 38, 100, 46, 83, 29, 97, 43, 73)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 29)(11, 21)(12, 28)(14, 31)(16, 30)(17, 36)(18, 39)(20, 45)(22, 47)(23, 41)(24, 46)(26, 48)(32, 51)(33, 42)(34, 43)(35, 49)(37, 44)(38, 52)(40, 54)(50, 53)(55, 58)(56, 62)(57, 64)(59, 70)(60, 74)(61, 76)(63, 82)(65, 85)(66, 88)(67, 83)(68, 78)(69, 89)(71, 92)(72, 94)(73, 96)(75, 100)(77, 102)(79, 101)(80, 98)(81, 97)(84, 103)(86, 106)(87, 99)(90, 105)(91, 95)(93, 107)(104, 108)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1238
Transitivity :: VT+ AT
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.1240 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^6, (Y3^-1 * Y1)^3, Y3^3 * Y1 * Y3^3 * Y1 * Y3^-3 * Y1, Y3^2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1 ]
Map::
	R = (1, 55, 3, 57, 8, 62, 17, 71, 10, 64, 4, 58)(2, 56, 5, 59, 12, 66, 22, 76, 14, 68, 6, 60)(7, 61, 13, 67, 23, 77, 37, 91, 26, 80, 15, 69)(9, 63, 18, 72, 30, 84, 33, 87, 20, 74, 11, 65)(16, 70, 25, 79, 39, 93, 48, 102, 42, 96, 27, 81)(19, 73, 31, 85, 46, 100, 53, 107, 44, 98, 29, 83)(21, 75, 32, 86, 47, 101, 40, 94, 50, 104, 34, 88)(24, 78, 38, 92, 54, 108, 45, 99, 52, 106, 36, 90)(28, 82, 41, 95, 51, 105, 35, 89, 49, 103, 43, 97)(109, 110)(111, 115)(112, 117)(113, 119)(114, 121)(116, 124)(118, 127)(120, 129)(122, 132)(123, 133)(125, 136)(126, 137)(128, 140)(130, 143)(131, 144)(134, 148)(135, 149)(138, 153)(139, 151)(141, 156)(142, 157)(145, 161)(146, 159)(147, 155)(150, 162)(152, 160)(154, 158)(163, 164)(165, 169)(166, 171)(167, 173)(168, 175)(170, 178)(172, 181)(174, 183)(176, 186)(177, 187)(179, 190)(180, 191)(182, 194)(184, 197)(185, 198)(188, 202)(189, 203)(192, 207)(193, 205)(195, 210)(196, 211)(199, 215)(200, 213)(201, 209)(204, 216)(206, 214)(208, 212)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1244
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 2^54, 12^9 ]

E19.1241 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y3)^3, Y3^6, (Y2 * Y1)^3, Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y2, (Y3 * Y1)^3, Y3^2 * Y1 * Y3^-2 * Y2, Y3 * Y1 * Y3^-1 * Y2 * Y3^-3 * Y1 ]
Map::
	R = (1, 55, 4, 58, 14, 68, 36, 90, 17, 71, 5, 59)(2, 56, 7, 61, 23, 77, 48, 102, 26, 80, 8, 62)(3, 57, 10, 64, 30, 84, 51, 105, 32, 86, 11, 65)(6, 60, 19, 73, 42, 96, 53, 107, 44, 98, 20, 74)(9, 63, 27, 81, 47, 101, 54, 108, 50, 104, 28, 82)(12, 66, 24, 78, 49, 103, 29, 83, 16, 70, 33, 87)(13, 67, 31, 85, 46, 100, 22, 76, 43, 97, 34, 88)(15, 69, 37, 91, 41, 95, 25, 79, 45, 99, 21, 75)(18, 72, 39, 93, 35, 89, 52, 106, 38, 92, 40, 94)(109, 110)(111, 117)(112, 120)(113, 123)(114, 126)(115, 129)(116, 132)(118, 130)(119, 133)(121, 127)(122, 138)(124, 128)(125, 146)(131, 150)(134, 158)(135, 149)(136, 151)(137, 147)(139, 148)(140, 152)(141, 159)(142, 156)(143, 155)(144, 154)(145, 160)(153, 161)(157, 162)(163, 165)(164, 168)(166, 175)(167, 178)(169, 184)(170, 187)(171, 180)(172, 191)(173, 193)(174, 189)(176, 197)(177, 190)(179, 188)(181, 203)(182, 205)(183, 201)(185, 209)(186, 202)(192, 204)(194, 212)(195, 210)(196, 214)(198, 207)(199, 213)(200, 206)(208, 216)(211, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1246
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 2^54, 12^9 ]

E19.1242 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^3, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2, (Y2 * Y1)^3, Y3^-2 * Y1 * Y3^2 * Y2, (Y3 * Y2)^3, Y3^6, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3^2 * Y1 ]
Map::
	R = (1, 55, 4, 58, 14, 68, 36, 90, 17, 71, 5, 59)(2, 56, 7, 61, 23, 77, 48, 102, 26, 80, 8, 62)(3, 57, 10, 64, 30, 84, 51, 105, 32, 86, 11, 65)(6, 60, 19, 73, 42, 96, 53, 107, 44, 98, 20, 74)(9, 63, 27, 81, 47, 101, 54, 108, 50, 104, 28, 82)(12, 66, 24, 78, 46, 100, 22, 76, 43, 97, 33, 87)(13, 67, 31, 85, 45, 99, 21, 75, 15, 69, 34, 88)(16, 70, 37, 91, 41, 95, 25, 79, 49, 103, 29, 83)(18, 72, 39, 93, 35, 89, 52, 106, 38, 92, 40, 94)(109, 110)(111, 117)(112, 120)(113, 123)(114, 126)(115, 129)(116, 132)(118, 130)(119, 133)(121, 127)(122, 143)(124, 128)(125, 140)(131, 155)(134, 152)(135, 149)(136, 151)(137, 147)(138, 150)(139, 148)(141, 160)(142, 159)(144, 157)(145, 156)(146, 158)(153, 162)(154, 161)(163, 165)(164, 168)(166, 175)(167, 178)(169, 184)(170, 187)(171, 180)(172, 191)(173, 193)(174, 189)(176, 185)(177, 190)(179, 200)(181, 203)(182, 205)(183, 201)(186, 202)(188, 212)(192, 209)(194, 206)(195, 213)(196, 210)(197, 204)(198, 208)(199, 214)(207, 215)(211, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1245
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 2^54, 12^9 ]

E19.1243 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^3 * Y1^-3, Y1^6, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^3 * Y1^-3, Y2 * Y3 * Y1^3 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-2, Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-2 * Y3 * Y1^-1, Y2^2 * Y3 * Y2^3 * Y3 * Y1^-3 * Y3 * Y1^-1, Y2 * Y3 * Y2^2 * Y1^-1 * Y3 * Y2 * Y1^-2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 55, 4, 58)(2, 56, 6, 60)(3, 57, 8, 62)(5, 59, 12, 66)(7, 61, 15, 69)(9, 63, 17, 71)(10, 64, 13, 67)(11, 65, 20, 74)(14, 68, 21, 75)(16, 70, 26, 80)(18, 72, 30, 84)(19, 73, 31, 85)(22, 76, 32, 86)(23, 77, 37, 91)(24, 78, 38, 92)(25, 79, 33, 87)(27, 81, 42, 96)(28, 82, 43, 97)(29, 83, 44, 98)(34, 88, 50, 104)(35, 89, 51, 105)(36, 90, 52, 106)(39, 93, 54, 108)(40, 94, 53, 107)(41, 95, 49, 103)(45, 99, 48, 102)(46, 100, 47, 101)(109, 110, 113, 119, 115, 111)(112, 117, 126, 137, 127, 118)(114, 121, 131, 144, 132, 122)(116, 124, 135, 149, 136, 125)(120, 129, 142, 157, 143, 130)(123, 133, 147, 160, 148, 134)(128, 140, 155, 152, 156, 141)(138, 151, 158, 146, 162, 153)(139, 154, 159, 150, 161, 145)(163, 165, 169, 173, 167, 164)(166, 172, 181, 191, 180, 171)(168, 176, 186, 198, 185, 175)(170, 179, 190, 203, 189, 178)(174, 184, 197, 211, 196, 183)(177, 188, 202, 214, 201, 187)(182, 195, 210, 206, 209, 194)(192, 207, 216, 200, 212, 205)(193, 199, 215, 204, 213, 208)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E19.1247
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1244 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^6, (Y3^-1 * Y1)^3, Y3^3 * Y1 * Y3^3 * Y1 * Y3^-3 * Y1, Y3^2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1 ]
Map::
	R = (1, 55, 109, 163, 3, 57, 111, 165, 8, 62, 116, 170, 17, 71, 125, 179, 10, 64, 118, 172, 4, 58, 112, 166)(2, 56, 110, 164, 5, 59, 113, 167, 12, 66, 120, 174, 22, 76, 130, 184, 14, 68, 122, 176, 6, 60, 114, 168)(7, 61, 115, 169, 13, 67, 121, 175, 23, 77, 131, 185, 37, 91, 145, 199, 26, 80, 134, 188, 15, 69, 123, 177)(9, 63, 117, 171, 18, 72, 126, 180, 30, 84, 138, 192, 33, 87, 141, 195, 20, 74, 128, 182, 11, 65, 119, 173)(16, 70, 124, 178, 25, 79, 133, 187, 39, 93, 147, 201, 48, 102, 156, 210, 42, 96, 150, 204, 27, 81, 135, 189)(19, 73, 127, 181, 31, 85, 139, 193, 46, 100, 154, 208, 53, 107, 161, 215, 44, 98, 152, 206, 29, 83, 137, 191)(21, 75, 129, 183, 32, 86, 140, 194, 47, 101, 155, 209, 40, 94, 148, 202, 50, 104, 158, 212, 34, 88, 142, 196)(24, 78, 132, 186, 38, 92, 146, 200, 54, 108, 162, 216, 45, 99, 153, 207, 52, 106, 160, 214, 36, 90, 144, 198)(28, 82, 136, 190, 41, 95, 149, 203, 51, 105, 159, 213, 35, 89, 143, 197, 49, 103, 157, 211, 43, 97, 151, 205)
	L = (1, 56)(2, 55)(3, 61)(4, 63)(5, 65)(6, 67)(7, 57)(8, 70)(9, 58)(10, 73)(11, 59)(12, 75)(13, 60)(14, 78)(15, 79)(16, 62)(17, 82)(18, 83)(19, 64)(20, 86)(21, 66)(22, 89)(23, 90)(24, 68)(25, 69)(26, 94)(27, 95)(28, 71)(29, 72)(30, 99)(31, 97)(32, 74)(33, 102)(34, 103)(35, 76)(36, 77)(37, 107)(38, 105)(39, 101)(40, 80)(41, 81)(42, 108)(43, 85)(44, 106)(45, 84)(46, 104)(47, 93)(48, 87)(49, 88)(50, 100)(51, 92)(52, 98)(53, 91)(54, 96)(109, 164)(110, 163)(111, 169)(112, 171)(113, 173)(114, 175)(115, 165)(116, 178)(117, 166)(118, 181)(119, 167)(120, 183)(121, 168)(122, 186)(123, 187)(124, 170)(125, 190)(126, 191)(127, 172)(128, 194)(129, 174)(130, 197)(131, 198)(132, 176)(133, 177)(134, 202)(135, 203)(136, 179)(137, 180)(138, 207)(139, 205)(140, 182)(141, 210)(142, 211)(143, 184)(144, 185)(145, 215)(146, 213)(147, 209)(148, 188)(149, 189)(150, 216)(151, 193)(152, 214)(153, 192)(154, 212)(155, 201)(156, 195)(157, 196)(158, 208)(159, 200)(160, 206)(161, 199)(162, 204)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1240
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 63
	degree seq :: [ 24^9 ]

E19.1245 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y3)^3, Y3^6, (Y2 * Y1)^3, Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y2, (Y3 * Y1)^3, Y3^2 * Y1 * Y3^-2 * Y2, Y3 * Y1 * Y3^-1 * Y2 * Y3^-3 * Y1 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 14, 68, 122, 176, 36, 90, 144, 198, 17, 71, 125, 179, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 23, 77, 131, 185, 48, 102, 156, 210, 26, 80, 134, 188, 8, 62, 116, 170)(3, 57, 111, 165, 10, 64, 118, 172, 30, 84, 138, 192, 51, 105, 159, 213, 32, 86, 140, 194, 11, 65, 119, 173)(6, 60, 114, 168, 19, 73, 127, 181, 42, 96, 150, 204, 53, 107, 161, 215, 44, 98, 152, 206, 20, 74, 128, 182)(9, 63, 117, 171, 27, 81, 135, 189, 47, 101, 155, 209, 54, 108, 162, 216, 50, 104, 158, 212, 28, 82, 136, 190)(12, 66, 120, 174, 24, 78, 132, 186, 49, 103, 157, 211, 29, 83, 137, 191, 16, 70, 124, 178, 33, 87, 141, 195)(13, 67, 121, 175, 31, 85, 139, 193, 46, 100, 154, 208, 22, 76, 130, 184, 43, 97, 151, 205, 34, 88, 142, 196)(15, 69, 123, 177, 37, 91, 145, 199, 41, 95, 149, 203, 25, 79, 133, 187, 45, 99, 153, 207, 21, 75, 129, 183)(18, 72, 126, 180, 39, 93, 147, 201, 35, 89, 143, 197, 52, 106, 160, 214, 38, 92, 146, 200, 40, 94, 148, 202)
	L = (1, 56)(2, 55)(3, 63)(4, 66)(5, 69)(6, 72)(7, 75)(8, 78)(9, 57)(10, 76)(11, 79)(12, 58)(13, 73)(14, 84)(15, 59)(16, 74)(17, 92)(18, 60)(19, 67)(20, 70)(21, 61)(22, 64)(23, 96)(24, 62)(25, 65)(26, 104)(27, 95)(28, 97)(29, 93)(30, 68)(31, 94)(32, 98)(33, 105)(34, 102)(35, 101)(36, 100)(37, 106)(38, 71)(39, 83)(40, 85)(41, 81)(42, 77)(43, 82)(44, 86)(45, 107)(46, 90)(47, 89)(48, 88)(49, 108)(50, 80)(51, 87)(52, 91)(53, 99)(54, 103)(109, 165)(110, 168)(111, 163)(112, 175)(113, 178)(114, 164)(115, 184)(116, 187)(117, 180)(118, 191)(119, 193)(120, 189)(121, 166)(122, 197)(123, 190)(124, 167)(125, 188)(126, 171)(127, 203)(128, 205)(129, 201)(130, 169)(131, 209)(132, 202)(133, 170)(134, 179)(135, 174)(136, 177)(137, 172)(138, 204)(139, 173)(140, 212)(141, 210)(142, 214)(143, 176)(144, 207)(145, 213)(146, 206)(147, 183)(148, 186)(149, 181)(150, 192)(151, 182)(152, 200)(153, 198)(154, 216)(155, 185)(156, 195)(157, 215)(158, 194)(159, 199)(160, 196)(161, 211)(162, 208)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1242
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 63
	degree seq :: [ 24^9 ]

E19.1246 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^3, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2, (Y2 * Y1)^3, Y3^-2 * Y1 * Y3^2 * Y2, (Y3 * Y2)^3, Y3^6, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3^2 * Y1 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 14, 68, 122, 176, 36, 90, 144, 198, 17, 71, 125, 179, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 23, 77, 131, 185, 48, 102, 156, 210, 26, 80, 134, 188, 8, 62, 116, 170)(3, 57, 111, 165, 10, 64, 118, 172, 30, 84, 138, 192, 51, 105, 159, 213, 32, 86, 140, 194, 11, 65, 119, 173)(6, 60, 114, 168, 19, 73, 127, 181, 42, 96, 150, 204, 53, 107, 161, 215, 44, 98, 152, 206, 20, 74, 128, 182)(9, 63, 117, 171, 27, 81, 135, 189, 47, 101, 155, 209, 54, 108, 162, 216, 50, 104, 158, 212, 28, 82, 136, 190)(12, 66, 120, 174, 24, 78, 132, 186, 46, 100, 154, 208, 22, 76, 130, 184, 43, 97, 151, 205, 33, 87, 141, 195)(13, 67, 121, 175, 31, 85, 139, 193, 45, 99, 153, 207, 21, 75, 129, 183, 15, 69, 123, 177, 34, 88, 142, 196)(16, 70, 124, 178, 37, 91, 145, 199, 41, 95, 149, 203, 25, 79, 133, 187, 49, 103, 157, 211, 29, 83, 137, 191)(18, 72, 126, 180, 39, 93, 147, 201, 35, 89, 143, 197, 52, 106, 160, 214, 38, 92, 146, 200, 40, 94, 148, 202)
	L = (1, 56)(2, 55)(3, 63)(4, 66)(5, 69)(6, 72)(7, 75)(8, 78)(9, 57)(10, 76)(11, 79)(12, 58)(13, 73)(14, 89)(15, 59)(16, 74)(17, 86)(18, 60)(19, 67)(20, 70)(21, 61)(22, 64)(23, 101)(24, 62)(25, 65)(26, 98)(27, 95)(28, 97)(29, 93)(30, 96)(31, 94)(32, 71)(33, 106)(34, 105)(35, 68)(36, 103)(37, 102)(38, 104)(39, 83)(40, 85)(41, 81)(42, 84)(43, 82)(44, 80)(45, 108)(46, 107)(47, 77)(48, 91)(49, 90)(50, 92)(51, 88)(52, 87)(53, 100)(54, 99)(109, 165)(110, 168)(111, 163)(112, 175)(113, 178)(114, 164)(115, 184)(116, 187)(117, 180)(118, 191)(119, 193)(120, 189)(121, 166)(122, 185)(123, 190)(124, 167)(125, 200)(126, 171)(127, 203)(128, 205)(129, 201)(130, 169)(131, 176)(132, 202)(133, 170)(134, 212)(135, 174)(136, 177)(137, 172)(138, 209)(139, 173)(140, 206)(141, 213)(142, 210)(143, 204)(144, 208)(145, 214)(146, 179)(147, 183)(148, 186)(149, 181)(150, 197)(151, 182)(152, 194)(153, 215)(154, 198)(155, 192)(156, 196)(157, 216)(158, 188)(159, 195)(160, 199)(161, 207)(162, 211)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1241
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 63
	degree seq :: [ 24^9 ]

E19.1247 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^3 * Y1^-3, Y1^6, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^3 * Y1^-3, Y2 * Y3 * Y1^3 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-2, Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-2 * Y3 * Y1^-1, Y2^2 * Y3 * Y2^3 * Y3 * Y1^-3 * Y3 * Y1^-1, Y2 * Y3 * Y2^2 * Y1^-1 * Y3 * Y2 * Y1^-2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 6, 60, 114, 168)(3, 57, 111, 165, 8, 62, 116, 170)(5, 59, 113, 167, 12, 66, 120, 174)(7, 61, 115, 169, 15, 69, 123, 177)(9, 63, 117, 171, 17, 71, 125, 179)(10, 64, 118, 172, 13, 67, 121, 175)(11, 65, 119, 173, 20, 74, 128, 182)(14, 68, 122, 176, 21, 75, 129, 183)(16, 70, 124, 178, 26, 80, 134, 188)(18, 72, 126, 180, 30, 84, 138, 192)(19, 73, 127, 181, 31, 85, 139, 193)(22, 76, 130, 184, 32, 86, 140, 194)(23, 77, 131, 185, 37, 91, 145, 199)(24, 78, 132, 186, 38, 92, 146, 200)(25, 79, 133, 187, 33, 87, 141, 195)(27, 81, 135, 189, 42, 96, 150, 204)(28, 82, 136, 190, 43, 97, 151, 205)(29, 83, 137, 191, 44, 98, 152, 206)(34, 88, 142, 196, 50, 104, 158, 212)(35, 89, 143, 197, 51, 105, 159, 213)(36, 90, 144, 198, 52, 106, 160, 214)(39, 93, 147, 201, 54, 108, 162, 216)(40, 94, 148, 202, 53, 107, 161, 215)(41, 95, 149, 203, 49, 103, 157, 211)(45, 99, 153, 207, 48, 102, 156, 210)(46, 100, 154, 208, 47, 101, 155, 209)
	L = (1, 56)(2, 59)(3, 55)(4, 63)(5, 65)(6, 67)(7, 57)(8, 70)(9, 72)(10, 58)(11, 61)(12, 75)(13, 77)(14, 60)(15, 79)(16, 81)(17, 62)(18, 83)(19, 64)(20, 86)(21, 88)(22, 66)(23, 90)(24, 68)(25, 93)(26, 69)(27, 95)(28, 71)(29, 73)(30, 97)(31, 100)(32, 101)(33, 74)(34, 103)(35, 76)(36, 78)(37, 85)(38, 108)(39, 106)(40, 80)(41, 82)(42, 107)(43, 104)(44, 102)(45, 84)(46, 105)(47, 98)(48, 87)(49, 89)(50, 92)(51, 96)(52, 94)(53, 91)(54, 99)(109, 165)(110, 163)(111, 169)(112, 172)(113, 164)(114, 176)(115, 173)(116, 179)(117, 166)(118, 181)(119, 167)(120, 184)(121, 168)(122, 186)(123, 188)(124, 170)(125, 190)(126, 171)(127, 191)(128, 195)(129, 174)(130, 197)(131, 175)(132, 198)(133, 177)(134, 202)(135, 178)(136, 203)(137, 180)(138, 207)(139, 199)(140, 182)(141, 210)(142, 183)(143, 211)(144, 185)(145, 215)(146, 212)(147, 187)(148, 214)(149, 189)(150, 213)(151, 192)(152, 209)(153, 216)(154, 193)(155, 194)(156, 206)(157, 196)(158, 205)(159, 208)(160, 201)(161, 204)(162, 200)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1243
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 45
	degree seq :: [ 8^27 ]

E19.1248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, Y3^-1 * Y2 * Y3 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y1 * Y2)^3, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y3 * Y2 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 12, 66)(5, 59, 13, 67)(6, 60, 14, 68)(7, 61, 17, 71)(8, 62, 18, 72)(10, 64, 21, 75)(11, 65, 22, 76)(15, 69, 31, 85)(16, 70, 32, 86)(19, 73, 39, 93)(20, 74, 40, 94)(23, 77, 41, 95)(24, 78, 34, 88)(25, 79, 37, 91)(26, 80, 44, 98)(27, 81, 35, 89)(28, 82, 38, 92)(29, 83, 50, 104)(30, 84, 47, 101)(33, 87, 46, 100)(36, 90, 42, 96)(43, 97, 53, 107)(45, 99, 54, 108)(48, 102, 51, 105)(49, 103, 52, 106)(109, 163, 111, 165)(110, 164, 114, 168)(112, 166, 118, 172)(113, 167, 119, 173)(115, 169, 123, 177)(116, 170, 124, 178)(117, 171, 122, 176)(120, 174, 131, 185)(121, 175, 134, 188)(125, 179, 141, 195)(126, 180, 144, 198)(127, 181, 137, 191)(128, 182, 138, 192)(129, 183, 149, 203)(130, 184, 152, 206)(132, 186, 155, 209)(133, 187, 156, 210)(135, 189, 157, 211)(136, 190, 158, 212)(139, 193, 154, 208)(140, 194, 150, 204)(142, 196, 148, 202)(143, 197, 161, 215)(145, 199, 162, 216)(146, 200, 147, 201)(151, 205, 160, 214)(153, 207, 159, 213)
	L = (1, 112)(2, 115)(3, 118)(4, 113)(5, 109)(6, 123)(7, 116)(8, 110)(9, 127)(10, 119)(11, 111)(12, 132)(13, 135)(14, 137)(15, 124)(16, 114)(17, 142)(18, 145)(19, 128)(20, 117)(21, 150)(22, 153)(23, 155)(24, 133)(25, 120)(26, 157)(27, 136)(28, 121)(29, 138)(30, 122)(31, 152)(32, 160)(33, 148)(34, 143)(35, 125)(36, 162)(37, 146)(38, 126)(39, 144)(40, 161)(41, 140)(42, 151)(43, 129)(44, 159)(45, 154)(46, 130)(47, 156)(48, 131)(49, 158)(50, 134)(51, 139)(52, 149)(53, 141)(54, 147)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1256
Graph:: simple bipartite
	v = 54 e = 108 f = 18
	degree seq :: [ 4^54 ]

E19.1249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^3, Y2^6, (Y3 * Y2^-1)^6, Y2^3 * Y1 * Y2^3 * Y1 * Y2^-3 * Y1, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 9, 63)(5, 59, 11, 65)(6, 60, 13, 67)(8, 62, 16, 70)(10, 64, 19, 73)(12, 66, 21, 75)(14, 68, 24, 78)(15, 69, 25, 79)(17, 71, 28, 82)(18, 72, 29, 83)(20, 74, 32, 86)(22, 76, 35, 89)(23, 77, 36, 90)(26, 80, 40, 94)(27, 81, 41, 95)(30, 84, 45, 99)(31, 85, 43, 97)(33, 87, 48, 102)(34, 88, 49, 103)(37, 91, 53, 107)(38, 92, 51, 105)(39, 93, 47, 101)(42, 96, 54, 108)(44, 98, 52, 106)(46, 100, 50, 104)(109, 163, 111, 165, 116, 170, 125, 179, 118, 172, 112, 166)(110, 164, 113, 167, 120, 174, 130, 184, 122, 176, 114, 168)(115, 169, 121, 175, 131, 185, 145, 199, 134, 188, 123, 177)(117, 171, 126, 180, 138, 192, 141, 195, 128, 182, 119, 173)(124, 178, 133, 187, 147, 201, 156, 210, 150, 204, 135, 189)(127, 181, 139, 193, 154, 208, 161, 215, 152, 206, 137, 191)(129, 183, 140, 194, 155, 209, 148, 202, 158, 212, 142, 196)(132, 186, 146, 200, 162, 216, 153, 207, 160, 214, 144, 198)(136, 190, 149, 203, 159, 213, 143, 197, 157, 211, 151, 205)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y2, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-2 * R)^2, (Y2^-1 * Y1)^3, Y2^6, Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 16, 70)(6, 60, 8, 62)(7, 61, 19, 73)(9, 63, 24, 78)(12, 66, 30, 84)(13, 67, 29, 83)(14, 68, 27, 81)(15, 69, 34, 88)(17, 71, 37, 91)(18, 72, 39, 93)(20, 74, 33, 87)(21, 75, 42, 96)(22, 76, 40, 94)(23, 77, 45, 99)(25, 79, 47, 101)(26, 80, 35, 89)(28, 82, 49, 103)(31, 85, 51, 105)(32, 86, 44, 98)(36, 90, 54, 108)(38, 92, 48, 102)(41, 95, 52, 106)(43, 97, 50, 104)(46, 100, 53, 107)(109, 163, 111, 165, 120, 174, 139, 193, 126, 180, 113, 167)(110, 164, 115, 169, 128, 182, 151, 205, 134, 188, 117, 171)(112, 166, 122, 176, 140, 194, 161, 215, 143, 197, 123, 177)(114, 168, 121, 175, 141, 195, 160, 214, 146, 200, 125, 179)(116, 170, 130, 184, 152, 206, 162, 216, 147, 201, 131, 185)(118, 172, 129, 183, 138, 192, 157, 211, 156, 210, 133, 187)(119, 173, 132, 186, 154, 208, 148, 202, 145, 199, 136, 190)(124, 178, 144, 198, 135, 189, 155, 209, 149, 203, 127, 181)(137, 191, 153, 207, 159, 213, 150, 204, 142, 196, 158, 212)
	L = (1, 112)(2, 116)(3, 121)(4, 114)(5, 125)(6, 109)(7, 129)(8, 118)(9, 133)(10, 110)(11, 135)(12, 140)(13, 122)(14, 111)(15, 113)(16, 142)(17, 123)(18, 143)(19, 148)(20, 152)(21, 130)(22, 115)(23, 117)(24, 153)(25, 131)(26, 147)(27, 137)(28, 158)(29, 119)(30, 128)(31, 160)(32, 141)(33, 120)(34, 145)(35, 146)(36, 136)(37, 124)(38, 126)(39, 156)(40, 150)(41, 159)(42, 127)(43, 157)(44, 138)(45, 155)(46, 149)(47, 132)(48, 134)(49, 162)(50, 144)(51, 154)(52, 161)(53, 139)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1251
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y1 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, (Y2^-2 * R)^2, Y2^6, Y2^2 * Y3 * Y1 * Y2^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 16, 70)(6, 60, 8, 62)(7, 61, 19, 73)(9, 63, 24, 78)(12, 66, 30, 84)(13, 67, 29, 83)(14, 68, 27, 81)(15, 69, 34, 88)(17, 71, 37, 91)(18, 72, 39, 93)(20, 74, 32, 86)(21, 75, 42, 96)(22, 76, 40, 94)(23, 77, 45, 99)(25, 79, 48, 102)(26, 80, 38, 92)(28, 82, 50, 104)(31, 85, 51, 105)(33, 87, 44, 98)(35, 89, 46, 100)(36, 90, 54, 108)(41, 95, 53, 107)(43, 97, 49, 103)(47, 101, 52, 106)(109, 163, 111, 165, 120, 174, 139, 193, 126, 180, 113, 167)(110, 164, 115, 169, 128, 182, 151, 205, 134, 188, 117, 171)(112, 166, 122, 176, 140, 194, 161, 215, 143, 197, 123, 177)(114, 168, 121, 175, 141, 195, 160, 214, 146, 200, 125, 179)(116, 170, 130, 184, 138, 192, 158, 212, 154, 208, 131, 185)(118, 172, 129, 183, 152, 206, 162, 216, 147, 201, 133, 187)(119, 173, 132, 186, 155, 209, 150, 204, 142, 196, 136, 190)(124, 178, 144, 198, 137, 191, 153, 207, 149, 203, 127, 181)(135, 189, 156, 210, 159, 213, 148, 202, 145, 199, 157, 211)
	L = (1, 112)(2, 116)(3, 121)(4, 114)(5, 125)(6, 109)(7, 129)(8, 118)(9, 133)(10, 110)(11, 135)(12, 140)(13, 122)(14, 111)(15, 113)(16, 142)(17, 123)(18, 143)(19, 148)(20, 138)(21, 130)(22, 115)(23, 117)(24, 153)(25, 131)(26, 154)(27, 137)(28, 144)(29, 119)(30, 152)(31, 160)(32, 141)(33, 120)(34, 145)(35, 146)(36, 157)(37, 124)(38, 126)(39, 134)(40, 150)(41, 155)(42, 127)(43, 162)(44, 128)(45, 156)(46, 147)(47, 159)(48, 132)(49, 136)(50, 151)(51, 149)(52, 161)(53, 139)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1250
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^3 * Y3^-1, (Y2 * Y1)^3, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 17, 71)(6, 60, 8, 62)(7, 61, 23, 77)(9, 63, 26, 80)(12, 66, 20, 74)(13, 67, 32, 86)(14, 68, 19, 73)(15, 69, 25, 79)(16, 70, 28, 82)(18, 72, 33, 87)(21, 75, 42, 96)(22, 76, 35, 89)(24, 78, 37, 91)(27, 81, 38, 92)(29, 83, 44, 98)(30, 84, 46, 100)(31, 85, 41, 95)(34, 88, 47, 101)(36, 90, 39, 93)(40, 94, 48, 102)(43, 97, 49, 103)(45, 99, 50, 104)(51, 105, 53, 107)(52, 106, 54, 108)(109, 163, 111, 165, 120, 174, 116, 170, 127, 181, 113, 167)(110, 164, 115, 169, 124, 178, 112, 166, 123, 177, 117, 171)(114, 168, 129, 183, 138, 192, 118, 172, 137, 191, 130, 184)(119, 173, 134, 188, 142, 196, 121, 175, 135, 189, 139, 193)(122, 176, 143, 197, 160, 214, 140, 194, 153, 207, 144, 198)(125, 179, 147, 201, 132, 186, 126, 180, 148, 202, 131, 185)(128, 182, 149, 203, 151, 205, 141, 195, 159, 213, 150, 204)(133, 187, 154, 208, 161, 215, 145, 199, 158, 212, 155, 209)(136, 190, 156, 210, 157, 211, 146, 200, 162, 216, 152, 206)
	L = (1, 112)(2, 116)(3, 121)(4, 114)(5, 126)(6, 109)(7, 132)(8, 118)(9, 135)(10, 110)(11, 127)(12, 141)(13, 122)(14, 111)(15, 145)(16, 146)(17, 120)(18, 128)(19, 140)(20, 113)(21, 151)(22, 153)(23, 123)(24, 133)(25, 115)(26, 124)(27, 136)(28, 117)(29, 157)(30, 158)(31, 159)(32, 119)(33, 125)(34, 161)(35, 138)(36, 148)(37, 131)(38, 134)(39, 160)(40, 162)(41, 142)(42, 137)(43, 152)(44, 129)(45, 154)(46, 130)(47, 139)(48, 147)(49, 150)(50, 143)(51, 155)(52, 156)(53, 149)(54, 144)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1253
Graph:: bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y1, Y2^2 * Y3 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^6, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 17, 71)(6, 60, 8, 62)(7, 61, 13, 67)(9, 63, 22, 76)(12, 66, 30, 84)(14, 68, 23, 77)(15, 69, 19, 73)(16, 70, 25, 79)(18, 72, 35, 89)(20, 74, 41, 95)(21, 75, 39, 93)(24, 78, 27, 81)(26, 80, 48, 102)(28, 82, 36, 90)(29, 83, 34, 88)(31, 85, 42, 96)(32, 86, 49, 103)(33, 87, 40, 94)(37, 91, 44, 98)(38, 92, 46, 100)(43, 97, 47, 101)(45, 99, 50, 104)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 120, 174, 139, 193, 127, 181, 113, 167)(110, 164, 115, 169, 128, 182, 153, 207, 135, 189, 117, 171)(112, 166, 123, 177, 143, 197, 159, 213, 147, 201, 124, 178)(114, 168, 129, 183, 154, 208, 137, 191, 119, 173, 130, 184)(116, 170, 132, 186, 156, 210, 160, 214, 144, 198, 133, 187)(118, 172, 136, 190, 148, 202, 140, 194, 121, 175, 125, 179)(122, 176, 141, 195, 161, 215, 152, 206, 138, 192, 142, 196)(126, 180, 150, 204, 145, 199, 134, 188, 158, 212, 151, 205)(131, 185, 146, 200, 162, 216, 155, 209, 149, 203, 157, 211)
	L = (1, 112)(2, 116)(3, 121)(4, 114)(5, 126)(6, 109)(7, 119)(8, 118)(9, 134)(10, 110)(11, 131)(12, 117)(13, 122)(14, 111)(15, 144)(16, 146)(17, 149)(18, 128)(19, 152)(20, 113)(21, 135)(22, 138)(23, 115)(24, 147)(25, 141)(26, 120)(27, 155)(28, 127)(29, 159)(30, 156)(31, 137)(32, 160)(33, 154)(34, 150)(35, 125)(36, 145)(37, 123)(38, 148)(39, 151)(40, 124)(41, 143)(42, 162)(43, 132)(44, 136)(45, 140)(46, 133)(47, 129)(48, 130)(49, 158)(50, 161)(51, 139)(52, 153)(53, 157)(54, 142)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1252
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y3 * Y1, Y2 * Y1 * Y2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2^6, Y3 * Y2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 17, 71)(6, 60, 8, 62)(7, 61, 21, 75)(9, 63, 18, 72)(12, 66, 16, 70)(13, 67, 30, 84)(14, 68, 29, 83)(15, 69, 25, 79)(19, 73, 43, 97)(20, 74, 27, 81)(22, 76, 36, 90)(23, 77, 26, 80)(24, 78, 46, 100)(28, 82, 39, 93)(31, 85, 34, 88)(32, 86, 40, 94)(33, 87, 48, 102)(35, 89, 49, 103)(37, 91, 47, 101)(38, 92, 45, 99)(41, 95, 44, 98)(42, 96, 50, 104)(51, 105, 53, 107)(52, 106, 54, 108)(109, 163, 111, 165, 120, 174, 139, 193, 127, 181, 113, 167)(110, 164, 115, 169, 131, 185, 143, 197, 122, 176, 117, 171)(112, 166, 123, 177, 144, 198, 159, 213, 138, 192, 124, 178)(114, 168, 129, 183, 125, 179, 149, 203, 155, 209, 130, 184)(116, 170, 133, 187, 147, 201, 162, 216, 154, 208, 134, 188)(118, 172, 119, 173, 126, 180, 150, 204, 146, 200, 136, 190)(121, 175, 141, 195, 157, 211, 132, 186, 148, 202, 142, 196)(128, 182, 152, 206, 151, 205, 140, 194, 160, 214, 153, 207)(135, 189, 158, 212, 137, 191, 156, 210, 161, 215, 145, 199)
	L = (1, 112)(2, 116)(3, 121)(4, 114)(5, 126)(6, 109)(7, 132)(8, 118)(9, 125)(10, 110)(11, 137)(12, 140)(13, 122)(14, 111)(15, 145)(16, 147)(17, 135)(18, 128)(19, 115)(20, 113)(21, 151)(22, 131)(23, 156)(24, 127)(25, 153)(26, 144)(27, 117)(28, 120)(29, 138)(30, 119)(31, 149)(32, 136)(33, 134)(34, 161)(35, 150)(36, 141)(37, 146)(38, 123)(39, 148)(40, 124)(41, 159)(42, 162)(43, 154)(44, 142)(45, 155)(46, 129)(47, 133)(48, 130)(49, 160)(50, 157)(51, 139)(52, 158)(53, 152)(54, 143)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 8>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y2^-1 * Y3^-1)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^6, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, (R * Y2 * Y3^-1)^2, (Y2^-2 * R)^2, (Y2^-1 * Y1)^3, Y3 * Y2^-1 * Y3 * Y2^3, Y2^2 * Y1 * Y2^-2 * Y1, Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 17, 71)(6, 60, 8, 62)(7, 61, 21, 75)(9, 63, 27, 81)(12, 66, 22, 76)(13, 67, 33, 87)(14, 68, 31, 85)(15, 69, 39, 93)(16, 70, 40, 94)(18, 72, 41, 95)(19, 73, 29, 83)(20, 74, 42, 96)(23, 77, 45, 99)(24, 78, 43, 97)(25, 79, 51, 105)(26, 80, 52, 106)(28, 82, 53, 107)(30, 84, 54, 108)(32, 86, 46, 100)(34, 88, 44, 98)(35, 89, 48, 102)(36, 90, 47, 101)(37, 91, 50, 104)(38, 92, 49, 103)(109, 163, 111, 165, 120, 174, 142, 196, 127, 181, 113, 167)(110, 164, 115, 169, 130, 184, 154, 208, 137, 191, 117, 171)(112, 166, 123, 177, 143, 197, 122, 176, 146, 200, 124, 178)(114, 168, 128, 182, 144, 198, 126, 180, 145, 199, 121, 175)(116, 170, 133, 187, 155, 209, 132, 186, 158, 212, 134, 188)(118, 172, 138, 192, 156, 210, 136, 190, 157, 211, 131, 185)(119, 173, 135, 189, 152, 206, 129, 183, 125, 179, 140, 194)(139, 193, 162, 216, 148, 202, 161, 215, 147, 201, 153, 207)(141, 195, 151, 205, 150, 204, 160, 214, 149, 203, 159, 213)
	L = (1, 112)(2, 116)(3, 121)(4, 114)(5, 126)(6, 109)(7, 131)(8, 118)(9, 136)(10, 110)(11, 139)(12, 143)(13, 122)(14, 111)(15, 113)(16, 142)(17, 147)(18, 123)(19, 146)(20, 124)(21, 151)(22, 155)(23, 132)(24, 115)(25, 117)(26, 154)(27, 159)(28, 133)(29, 158)(30, 134)(31, 141)(32, 160)(33, 119)(34, 128)(35, 144)(36, 120)(37, 127)(38, 145)(39, 149)(40, 150)(41, 125)(42, 152)(43, 153)(44, 148)(45, 129)(46, 138)(47, 156)(48, 130)(49, 137)(50, 157)(51, 161)(52, 162)(53, 135)(54, 140)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3 * Y2^2, (Y3^-1 * Y1^-1)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y3)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, Y2^-2 * Y1 * Y3 * Y1, Y1^-3 * Y3^-1 * Y1 * Y3^-1, (Y1^-1 * Y2 * Y1^-1)^2, (Y1 * Y2)^3, Y1^6, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 8, 62, 25, 79, 20, 74, 5, 59)(3, 57, 13, 67, 37, 91, 50, 104, 28, 82, 14, 68)(4, 58, 16, 70, 27, 81, 12, 66, 36, 90, 17, 71)(6, 60, 22, 76, 47, 101, 40, 94, 51, 105, 23, 77)(7, 61, 24, 78, 29, 83, 19, 73, 33, 87, 10, 64)(9, 63, 30, 84, 43, 97, 54, 108, 52, 106, 31, 85)(11, 65, 34, 88, 18, 72, 46, 100, 44, 98, 35, 89)(15, 69, 42, 96, 48, 102, 41, 95, 26, 80, 39, 93)(21, 75, 49, 103, 45, 99, 53, 107, 32, 86, 38, 92)(109, 163, 111, 165, 115, 169, 123, 177, 112, 166, 114, 168)(110, 164, 117, 171, 120, 174, 140, 194, 118, 172, 119, 173)(113, 167, 126, 180, 124, 178, 151, 205, 127, 181, 129, 183)(116, 170, 134, 188, 137, 191, 159, 213, 135, 189, 136, 190)(121, 175, 146, 200, 148, 202, 162, 216, 147, 201, 143, 197)(122, 176, 142, 196, 130, 184, 157, 211, 149, 203, 139, 193)(125, 179, 152, 206, 132, 186, 160, 214, 133, 187, 153, 207)(128, 182, 155, 209, 141, 195, 145, 199, 144, 198, 156, 210)(131, 185, 154, 208, 150, 204, 161, 215, 158, 212, 138, 192)
	L = (1, 112)(2, 118)(3, 114)(4, 115)(5, 127)(6, 123)(7, 109)(8, 135)(9, 119)(10, 120)(11, 140)(12, 110)(13, 147)(14, 149)(15, 111)(16, 113)(17, 133)(18, 129)(19, 124)(20, 144)(21, 151)(22, 122)(23, 158)(24, 125)(25, 132)(26, 136)(27, 137)(28, 159)(29, 116)(30, 161)(31, 157)(32, 117)(33, 128)(34, 139)(35, 162)(36, 141)(37, 155)(38, 143)(39, 148)(40, 121)(41, 130)(42, 131)(43, 126)(44, 153)(45, 160)(46, 138)(47, 156)(48, 145)(49, 142)(50, 150)(51, 134)(52, 152)(53, 154)(54, 146)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1248
Graph:: bipartite
	v = 18 e = 108 f = 54
	degree seq :: [ 12^18 ]

E19.1257 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = (C9 : C3) : C2 (small group id <54, 6>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^2 * Y2^-1 * Y1^3, Y2^2 * Y1^-3 * Y2, Y1^6, Y2^6, Y3 * Y1^-3 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2^-2 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58)(2, 56, 6, 60)(3, 57, 8, 62)(5, 59, 12, 66)(7, 61, 15, 69)(9, 63, 19, 73)(10, 64, 21, 75)(11, 65, 22, 76)(13, 67, 26, 80)(14, 68, 28, 82)(16, 70, 31, 85)(17, 71, 24, 78)(18, 72, 33, 87)(20, 74, 34, 88)(23, 77, 38, 92)(25, 79, 40, 94)(27, 81, 41, 95)(29, 83, 44, 98)(30, 84, 45, 99)(32, 86, 46, 100)(35, 89, 47, 101)(36, 90, 50, 104)(37, 91, 51, 105)(39, 93, 52, 106)(42, 96, 53, 107)(43, 97, 54, 108)(48, 102, 49, 103)(109, 110, 113, 119, 115, 111)(112, 117, 126, 139, 128, 118)(114, 121, 133, 127, 135, 122)(116, 124, 138, 152, 140, 125)(120, 131, 145, 134, 147, 132)(123, 137, 151, 158, 150, 136)(129, 130, 144, 157, 146, 143)(141, 154, 159, 149, 162, 155)(142, 156, 160, 153, 161, 148)(163, 165, 169, 173, 167, 164)(166, 172, 182, 193, 180, 171)(168, 176, 189, 181, 187, 175)(170, 179, 194, 206, 192, 178)(174, 186, 201, 188, 199, 185)(177, 190, 204, 212, 205, 191)(183, 197, 200, 211, 198, 184)(195, 209, 216, 203, 213, 208)(196, 202, 215, 207, 214, 210)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E19.1260
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1258 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = (C9 : C3) : C2 (small group id <54, 6>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^4 * Y1^-2, Y1^6, Y3 * Y2 * Y3 * Y1 * Y2^-2 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^2, Y1 * Y3 * Y2 * Y3 * Y2^2 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 55, 4, 58)(2, 56, 6, 60)(3, 57, 8, 62)(5, 59, 12, 66)(7, 61, 15, 69)(9, 63, 19, 73)(10, 64, 21, 75)(11, 65, 22, 76)(13, 67, 26, 80)(14, 68, 28, 82)(16, 70, 23, 77)(17, 71, 32, 86)(18, 72, 33, 87)(20, 74, 35, 89)(24, 78, 39, 93)(25, 79, 40, 94)(27, 81, 42, 96)(29, 83, 44, 98)(30, 84, 45, 99)(31, 85, 46, 100)(34, 88, 48, 102)(36, 90, 50, 104)(37, 91, 51, 105)(38, 92, 52, 106)(41, 95, 54, 108)(43, 97, 53, 107)(47, 101, 49, 103)(109, 110, 113, 119, 115, 111)(112, 117, 126, 136, 128, 118)(114, 121, 133, 147, 135, 122)(116, 124, 138, 129, 139, 125)(120, 131, 145, 158, 146, 132)(123, 134, 149, 140, 151, 137)(127, 142, 152, 157, 144, 130)(141, 154, 159, 150, 162, 155)(143, 156, 160, 153, 161, 148)(163, 165, 169, 173, 167, 164)(166, 172, 182, 190, 180, 171)(168, 176, 189, 201, 187, 175)(170, 179, 193, 183, 192, 178)(174, 186, 200, 212, 199, 185)(177, 191, 205, 194, 203, 188)(181, 184, 198, 211, 206, 196)(195, 209, 216, 204, 213, 208)(197, 202, 215, 207, 214, 210)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E19.1259
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1259 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = (C9 : C3) : C2 (small group id <54, 6>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^2 * Y2^-1 * Y1^3, Y2^2 * Y1^-3 * Y2, Y1^6, Y2^6, Y3 * Y1^-3 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2^-2 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 6, 60, 114, 168)(3, 57, 111, 165, 8, 62, 116, 170)(5, 59, 113, 167, 12, 66, 120, 174)(7, 61, 115, 169, 15, 69, 123, 177)(9, 63, 117, 171, 19, 73, 127, 181)(10, 64, 118, 172, 21, 75, 129, 183)(11, 65, 119, 173, 22, 76, 130, 184)(13, 67, 121, 175, 26, 80, 134, 188)(14, 68, 122, 176, 28, 82, 136, 190)(16, 70, 124, 178, 31, 85, 139, 193)(17, 71, 125, 179, 24, 78, 132, 186)(18, 72, 126, 180, 33, 87, 141, 195)(20, 74, 128, 182, 34, 88, 142, 196)(23, 77, 131, 185, 38, 92, 146, 200)(25, 79, 133, 187, 40, 94, 148, 202)(27, 81, 135, 189, 41, 95, 149, 203)(29, 83, 137, 191, 44, 98, 152, 206)(30, 84, 138, 192, 45, 99, 153, 207)(32, 86, 140, 194, 46, 100, 154, 208)(35, 89, 143, 197, 47, 101, 155, 209)(36, 90, 144, 198, 50, 104, 158, 212)(37, 91, 145, 199, 51, 105, 159, 213)(39, 93, 147, 201, 52, 106, 160, 214)(42, 96, 150, 204, 53, 107, 161, 215)(43, 97, 151, 205, 54, 108, 162, 216)(48, 102, 156, 210, 49, 103, 157, 211)
	L = (1, 56)(2, 59)(3, 55)(4, 63)(5, 65)(6, 67)(7, 57)(8, 70)(9, 72)(10, 58)(11, 61)(12, 77)(13, 79)(14, 60)(15, 83)(16, 84)(17, 62)(18, 85)(19, 81)(20, 64)(21, 76)(22, 90)(23, 91)(24, 66)(25, 73)(26, 93)(27, 68)(28, 69)(29, 97)(30, 98)(31, 74)(32, 71)(33, 100)(34, 102)(35, 75)(36, 103)(37, 80)(38, 89)(39, 78)(40, 88)(41, 108)(42, 82)(43, 104)(44, 86)(45, 107)(46, 105)(47, 87)(48, 106)(49, 92)(50, 96)(51, 95)(52, 99)(53, 94)(54, 101)(109, 165)(110, 163)(111, 169)(112, 172)(113, 164)(114, 176)(115, 173)(116, 179)(117, 166)(118, 182)(119, 167)(120, 186)(121, 168)(122, 189)(123, 190)(124, 170)(125, 194)(126, 171)(127, 187)(128, 193)(129, 197)(130, 183)(131, 174)(132, 201)(133, 175)(134, 199)(135, 181)(136, 204)(137, 177)(138, 178)(139, 180)(140, 206)(141, 209)(142, 202)(143, 200)(144, 184)(145, 185)(146, 211)(147, 188)(148, 215)(149, 213)(150, 212)(151, 191)(152, 192)(153, 214)(154, 195)(155, 216)(156, 196)(157, 198)(158, 205)(159, 208)(160, 210)(161, 207)(162, 203)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1258
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 45
	degree seq :: [ 8^27 ]

E19.1260 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = (C9 : C3) : C2 (small group id <54, 6>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^4 * Y1^-2, Y1^6, Y3 * Y2 * Y3 * Y1 * Y2^-2 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^2, Y1 * Y3 * Y2 * Y3 * Y2^2 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 6, 60, 114, 168)(3, 57, 111, 165, 8, 62, 116, 170)(5, 59, 113, 167, 12, 66, 120, 174)(7, 61, 115, 169, 15, 69, 123, 177)(9, 63, 117, 171, 19, 73, 127, 181)(10, 64, 118, 172, 21, 75, 129, 183)(11, 65, 119, 173, 22, 76, 130, 184)(13, 67, 121, 175, 26, 80, 134, 188)(14, 68, 122, 176, 28, 82, 136, 190)(16, 70, 124, 178, 23, 77, 131, 185)(17, 71, 125, 179, 32, 86, 140, 194)(18, 72, 126, 180, 33, 87, 141, 195)(20, 74, 128, 182, 35, 89, 143, 197)(24, 78, 132, 186, 39, 93, 147, 201)(25, 79, 133, 187, 40, 94, 148, 202)(27, 81, 135, 189, 42, 96, 150, 204)(29, 83, 137, 191, 44, 98, 152, 206)(30, 84, 138, 192, 45, 99, 153, 207)(31, 85, 139, 193, 46, 100, 154, 208)(34, 88, 142, 196, 48, 102, 156, 210)(36, 90, 144, 198, 50, 104, 158, 212)(37, 91, 145, 199, 51, 105, 159, 213)(38, 92, 146, 200, 52, 106, 160, 214)(41, 95, 149, 203, 54, 108, 162, 216)(43, 97, 151, 205, 53, 107, 161, 215)(47, 101, 155, 209, 49, 103, 157, 211)
	L = (1, 56)(2, 59)(3, 55)(4, 63)(5, 65)(6, 67)(7, 57)(8, 70)(9, 72)(10, 58)(11, 61)(12, 77)(13, 79)(14, 60)(15, 80)(16, 84)(17, 62)(18, 82)(19, 88)(20, 64)(21, 85)(22, 73)(23, 91)(24, 66)(25, 93)(26, 95)(27, 68)(28, 74)(29, 69)(30, 75)(31, 71)(32, 97)(33, 100)(34, 98)(35, 102)(36, 76)(37, 104)(38, 78)(39, 81)(40, 89)(41, 86)(42, 108)(43, 83)(44, 103)(45, 107)(46, 105)(47, 87)(48, 106)(49, 90)(50, 92)(51, 96)(52, 99)(53, 94)(54, 101)(109, 165)(110, 163)(111, 169)(112, 172)(113, 164)(114, 176)(115, 173)(116, 179)(117, 166)(118, 182)(119, 167)(120, 186)(121, 168)(122, 189)(123, 191)(124, 170)(125, 193)(126, 171)(127, 184)(128, 190)(129, 192)(130, 198)(131, 174)(132, 200)(133, 175)(134, 177)(135, 201)(136, 180)(137, 205)(138, 178)(139, 183)(140, 203)(141, 209)(142, 181)(143, 202)(144, 211)(145, 185)(146, 212)(147, 187)(148, 215)(149, 188)(150, 213)(151, 194)(152, 196)(153, 214)(154, 195)(155, 216)(156, 197)(157, 206)(158, 199)(159, 208)(160, 210)(161, 207)(162, 204)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1257
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 45
	degree seq :: [ 8^27 ]

E19.1261 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = (C3 x ((C3 x C3) : C2)) : C2 (small group id <108, 40>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^6, (Y2^-2 * R)^2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 16, 70)(6, 60, 8, 62)(7, 61, 19, 73)(9, 63, 24, 78)(12, 66, 20, 74)(13, 67, 29, 83)(14, 68, 27, 81)(15, 69, 33, 87)(17, 71, 35, 89)(18, 72, 26, 80)(21, 75, 39, 93)(22, 76, 37, 91)(23, 77, 43, 97)(25, 79, 45, 99)(28, 82, 40, 94)(30, 84, 38, 92)(31, 85, 42, 96)(32, 86, 41, 95)(34, 88, 46, 100)(36, 90, 44, 98)(47, 101, 53, 107)(48, 102, 54, 108)(49, 103, 51, 105)(50, 104, 52, 106)(109, 163, 111, 165, 120, 174, 138, 192, 126, 180, 113, 167)(110, 164, 115, 169, 128, 182, 148, 202, 134, 188, 117, 171)(112, 166, 122, 176, 139, 193, 158, 212, 142, 196, 123, 177)(114, 168, 121, 175, 140, 194, 157, 211, 144, 198, 125, 179)(116, 170, 130, 184, 149, 203, 162, 216, 152, 206, 131, 185)(118, 172, 129, 183, 150, 204, 161, 215, 154, 208, 133, 187)(119, 173, 132, 186, 146, 200, 127, 181, 124, 178, 136, 190)(135, 189, 153, 207, 160, 214, 147, 201, 141, 195, 155, 209)(137, 191, 151, 205, 159, 213, 145, 199, 143, 197, 156, 210)
	L = (1, 112)(2, 116)(3, 121)(4, 114)(5, 125)(6, 109)(7, 129)(8, 118)(9, 133)(10, 110)(11, 135)(12, 139)(13, 122)(14, 111)(15, 113)(16, 141)(17, 123)(18, 142)(19, 145)(20, 149)(21, 130)(22, 115)(23, 117)(24, 151)(25, 131)(26, 152)(27, 137)(28, 156)(29, 119)(30, 157)(31, 140)(32, 120)(33, 143)(34, 144)(35, 124)(36, 126)(37, 147)(38, 160)(39, 127)(40, 161)(41, 150)(42, 128)(43, 153)(44, 154)(45, 132)(46, 134)(47, 136)(48, 155)(49, 158)(50, 138)(51, 146)(52, 159)(53, 162)(54, 148)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1262 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 9, 18})
Quotient :: edge
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^3, T1^6, T1 * T2^-1 * T1^2 * T2^-2 * T1, T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1, T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 3, 10, 13, 29, 19, 6, 17, 5)(2, 7, 14, 4, 12, 31, 18, 24, 8)(9, 25, 30, 11, 28, 50, 38, 47, 26)(15, 34, 37, 16, 36, 49, 27, 48, 35)(20, 39, 42, 21, 41, 53, 32, 51, 40)(22, 43, 46, 23, 45, 54, 33, 52, 44)(55, 56, 60, 72, 67, 58)(57, 63, 71, 92, 83, 65)(59, 69, 73, 81, 64, 70)(61, 74, 78, 86, 66, 75)(62, 76, 85, 87, 68, 77)(79, 93, 101, 105, 82, 95)(80, 97, 104, 106, 84, 99)(88, 94, 102, 107, 90, 96)(89, 98, 103, 108, 91, 100)
	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) :: { ( 36^6 ), ( 36^9 ) }
Outer automorphisms :: reflexible
Dual of E19.1270
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 54 f = 3
	degree seq :: [ 6^9, 9^6 ]

E19.1263 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 9, 18})
Quotient :: edge
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-3 * T1, T1^6, T1 * T2 * T1^2 * T2^2 * T1, T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-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 ]
Map:: non-degenerate
	R = (1, 3, 10, 6, 19, 31, 13, 17, 5)(2, 7, 21, 18, 33, 14, 4, 12, 8)(9, 25, 47, 38, 52, 29, 11, 28, 26)(15, 34, 49, 27, 48, 37, 16, 36, 35)(20, 39, 53, 30, 50, 42, 22, 41, 40)(23, 43, 54, 32, 51, 46, 24, 45, 44)(55, 56, 60, 72, 67, 58)(57, 63, 73, 92, 71, 65)(59, 69, 64, 81, 85, 70)(61, 74, 87, 84, 66, 76)(62, 77, 75, 86, 68, 78)(79, 93, 106, 104, 82, 95)(80, 97, 101, 105, 83, 99)(88, 94, 102, 107, 90, 96)(89, 98, 103, 108, 91, 100)
	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) :: { ( 36^6 ), ( 36^9 ) }
Outer automorphisms :: reflexible
Dual of E19.1271
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 54 f = 3
	degree seq :: [ 6^9, 9^6 ]

E19.1264 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 9, 18})
Quotient :: edge
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^-1 * T1^-1 * T2^-1, T2^-2 * T1 * T2^-1 * T1 * T2^-1, T1 * T2^2 * T1^-1 * T2^-2, T1^9, T1 * T2 * T1 * T2^13 ]
Map:: non-degenerate
	R = (1, 3, 10, 22, 39, 20, 18, 35, 50, 51, 53, 43, 29, 31, 41, 28, 17, 5)(2, 7, 21, 24, 40, 36, 34, 48, 54, 46, 45, 30, 13, 16, 27, 11, 23, 8)(4, 12, 26, 15, 25, 9, 6, 19, 37, 38, 52, 49, 42, 44, 47, 33, 32, 14)(55, 56, 60, 72, 88, 96, 83, 67, 58)(57, 63, 78, 89, 103, 100, 85, 68, 65)(59, 69, 61, 74, 92, 102, 97, 87, 70)(62, 76, 73, 90, 105, 98, 84, 82, 66)(64, 75, 91, 104, 108, 101, 95, 81, 80)(71, 77, 79, 93, 94, 106, 107, 99, 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) :: { ( 12^9 ), ( 12^18 ) }
Outer automorphisms :: reflexible
Dual of E19.1273
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 54 f = 9
	degree seq :: [ 9^6, 18^3 ]

E19.1265 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 9, 18})
Quotient :: edge
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T2^2 * T1 * T2^-2 * T1^-1, T1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1, T1^4 * T2 * T1 * T2, T2^18 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 53, 45, 18, 39, 50, 24, 48, 21, 36, 46, 54, 44, 17, 5)(2, 7, 22, 38, 52, 34, 43, 16, 33, 11, 32, 37, 13, 35, 51, 27, 26, 8)(4, 12, 31, 42, 47, 20, 6, 19, 41, 15, 29, 9, 28, 25, 49, 23, 40, 14)(55, 56, 60, 72, 97, 82, 90, 67, 58)(57, 63, 81, 93, 68, 92, 100, 74, 65)(59, 69, 89, 99, 77, 61, 75, 96, 70)(62, 78, 66, 88, 98, 73, 91, 84, 79)(64, 76, 95, 104, 87, 103, 108, 105, 85)(71, 80, 101, 107, 106, 83, 102, 86, 94)
	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) :: { ( 12^9 ), ( 12^18 ) }
Outer automorphisms :: reflexible
Dual of E19.1272
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 54 f = 9
	degree seq :: [ 9^6, 18^3 ]

E19.1266 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 9, 18})
Quotient :: edge
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T2^6, T2 * T1^-2 * T2^-1 * T1^2, T2^2 * T1 * T2^-2 * T1^-1, T1^-1 * T2^2 * T1^-5 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 17, 5)(2, 7, 22, 45, 26, 8)(4, 12, 30, 47, 35, 14)(6, 19, 41, 54, 43, 20)(9, 27, 48, 34, 15, 28)(11, 21, 44, 36, 16, 24)(13, 31, 37, 51, 50, 33)(18, 38, 52, 49, 32, 39)(23, 40, 53, 46, 25, 42)(55, 56, 60, 72, 91, 84, 64, 76, 95, 106, 104, 89, 71, 80, 97, 86, 67, 58)(57, 63, 73, 94, 105, 98, 83, 102, 108, 100, 87, 70, 59, 69, 74, 96, 85, 65)(61, 75, 92, 81, 101, 107, 99, 90, 103, 88, 68, 79, 62, 78, 93, 82, 66, 77)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^6 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E19.1269
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 54 f = 6
	degree seq :: [ 6^9, 18^3 ]

E19.1267 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 9, 18})
Quotient :: edge
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^6, T2^-1 * T1^-2 * T2 * T1^2, T2^2 * T1 * T2^-2 * T1^-1, T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1, T2^-1 * T1^-2 * T2^-1 * T1^-4 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 17, 5)(2, 7, 22, 44, 26, 8)(4, 12, 30, 49, 35, 14)(6, 19, 41, 53, 43, 20)(9, 27, 47, 36, 15, 28)(11, 31, 46, 24, 16, 21)(13, 32, 50, 51, 37, 34)(18, 38, 33, 48, 52, 39)(23, 45, 54, 42, 25, 40)(55, 56, 60, 72, 91, 89, 71, 80, 97, 106, 104, 84, 64, 76, 95, 87, 67, 58)(57, 63, 73, 94, 88, 70, 59, 69, 74, 96, 105, 100, 83, 101, 107, 99, 86, 65)(61, 75, 92, 82, 68, 79, 62, 78, 93, 90, 103, 108, 98, 85, 102, 81, 66, 77)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^6 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E19.1268
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 54 f = 6
	degree seq :: [ 6^9, 18^3 ]

E19.1268 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 9, 18})
Quotient :: loop
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^3, T1^6, T1 * T2^-1 * T1^2 * T2^-2 * T1, T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1, T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 10, 64, 13, 67, 29, 83, 19, 73, 6, 60, 17, 71, 5, 59)(2, 56, 7, 61, 14, 68, 4, 58, 12, 66, 31, 85, 18, 72, 24, 78, 8, 62)(9, 63, 25, 79, 30, 84, 11, 65, 28, 82, 50, 104, 38, 92, 47, 101, 26, 80)(15, 69, 34, 88, 37, 91, 16, 70, 36, 90, 49, 103, 27, 81, 48, 102, 35, 89)(20, 74, 39, 93, 42, 96, 21, 75, 41, 95, 53, 107, 32, 86, 51, 105, 40, 94)(22, 76, 43, 97, 46, 100, 23, 77, 45, 99, 54, 108, 33, 87, 52, 106, 44, 98)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 69)(6, 72)(7, 74)(8, 76)(9, 71)(10, 70)(11, 57)(12, 75)(13, 58)(14, 77)(15, 73)(16, 59)(17, 92)(18, 67)(19, 81)(20, 78)(21, 61)(22, 85)(23, 62)(24, 86)(25, 93)(26, 97)(27, 64)(28, 95)(29, 65)(30, 99)(31, 87)(32, 66)(33, 68)(34, 94)(35, 98)(36, 96)(37, 100)(38, 83)(39, 101)(40, 102)(41, 79)(42, 88)(43, 104)(44, 103)(45, 80)(46, 89)(47, 105)(48, 107)(49, 108)(50, 106)(51, 82)(52, 84)(53, 90)(54, 91)
	local type(s) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1267
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 54 f = 12
	degree seq :: [ 18^6 ]

E19.1269 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 9, 18})
Quotient :: loop
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-3 * T1, T1^6, T1 * T2 * T1^2 * T2^2 * T1, T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-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 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 10, 64, 6, 60, 19, 73, 31, 85, 13, 67, 17, 71, 5, 59)(2, 56, 7, 61, 21, 75, 18, 72, 33, 87, 14, 68, 4, 58, 12, 66, 8, 62)(9, 63, 25, 79, 47, 101, 38, 92, 52, 106, 29, 83, 11, 65, 28, 82, 26, 80)(15, 69, 34, 88, 49, 103, 27, 81, 48, 102, 37, 91, 16, 70, 36, 90, 35, 89)(20, 74, 39, 93, 53, 107, 30, 84, 50, 104, 42, 96, 22, 76, 41, 95, 40, 94)(23, 77, 43, 97, 54, 108, 32, 86, 51, 105, 46, 100, 24, 78, 45, 99, 44, 98)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 69)(6, 72)(7, 74)(8, 77)(9, 73)(10, 81)(11, 57)(12, 76)(13, 58)(14, 78)(15, 64)(16, 59)(17, 65)(18, 67)(19, 92)(20, 87)(21, 86)(22, 61)(23, 75)(24, 62)(25, 93)(26, 97)(27, 85)(28, 95)(29, 99)(30, 66)(31, 70)(32, 68)(33, 84)(34, 94)(35, 98)(36, 96)(37, 100)(38, 71)(39, 106)(40, 102)(41, 79)(42, 88)(43, 101)(44, 103)(45, 80)(46, 89)(47, 105)(48, 107)(49, 108)(50, 82)(51, 83)(52, 104)(53, 90)(54, 91)
	local type(s) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1266
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 54 f = 12
	degree seq :: [ 18^6 ]

E19.1270 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 9, 18})
Quotient :: loop
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^-1 * T1^-1 * T2^-1, T2^-2 * T1 * T2^-1 * T1 * T2^-1, T1 * T2^2 * T1^-1 * T2^-2, T1^9, T1 * T2 * T1 * T2^13 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 10, 64, 22, 76, 39, 93, 20, 74, 18, 72, 35, 89, 50, 104, 51, 105, 53, 107, 43, 97, 29, 83, 31, 85, 41, 95, 28, 82, 17, 71, 5, 59)(2, 56, 7, 61, 21, 75, 24, 78, 40, 94, 36, 90, 34, 88, 48, 102, 54, 108, 46, 100, 45, 99, 30, 84, 13, 67, 16, 70, 27, 81, 11, 65, 23, 77, 8, 62)(4, 58, 12, 66, 26, 80, 15, 69, 25, 79, 9, 63, 6, 60, 19, 73, 37, 91, 38, 92, 52, 106, 49, 103, 42, 96, 44, 98, 47, 101, 33, 87, 32, 86, 14, 68)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 69)(6, 72)(7, 74)(8, 76)(9, 78)(10, 75)(11, 57)(12, 62)(13, 58)(14, 65)(15, 61)(16, 59)(17, 77)(18, 88)(19, 90)(20, 92)(21, 91)(22, 73)(23, 79)(24, 89)(25, 93)(26, 64)(27, 80)(28, 66)(29, 67)(30, 82)(31, 68)(32, 71)(33, 70)(34, 96)(35, 103)(36, 105)(37, 104)(38, 102)(39, 94)(40, 106)(41, 81)(42, 83)(43, 87)(44, 84)(45, 86)(46, 85)(47, 95)(48, 97)(49, 100)(50, 108)(51, 98)(52, 107)(53, 99)(54, 101)
	local type(s) :: { ( 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.1262
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 54 f = 15
	degree seq :: [ 36^3 ]

E19.1271 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 9, 18})
Quotient :: loop
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T2^2 * T1 * T2^-2 * T1^-1, T1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1, T1^4 * T2 * T1 * T2, T2^18 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 10, 64, 30, 84, 53, 107, 45, 99, 18, 72, 39, 93, 50, 104, 24, 78, 48, 102, 21, 75, 36, 90, 46, 100, 54, 108, 44, 98, 17, 71, 5, 59)(2, 56, 7, 61, 22, 76, 38, 92, 52, 106, 34, 88, 43, 97, 16, 70, 33, 87, 11, 65, 32, 86, 37, 91, 13, 67, 35, 89, 51, 105, 27, 81, 26, 80, 8, 62)(4, 58, 12, 66, 31, 85, 42, 96, 47, 101, 20, 74, 6, 60, 19, 73, 41, 95, 15, 69, 29, 83, 9, 63, 28, 82, 25, 79, 49, 103, 23, 77, 40, 94, 14, 68)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 69)(6, 72)(7, 75)(8, 78)(9, 81)(10, 76)(11, 57)(12, 88)(13, 58)(14, 92)(15, 89)(16, 59)(17, 80)(18, 97)(19, 91)(20, 65)(21, 96)(22, 95)(23, 61)(24, 66)(25, 62)(26, 101)(27, 93)(28, 90)(29, 102)(30, 79)(31, 64)(32, 94)(33, 103)(34, 98)(35, 99)(36, 67)(37, 84)(38, 100)(39, 68)(40, 71)(41, 104)(42, 70)(43, 82)(44, 73)(45, 77)(46, 74)(47, 107)(48, 86)(49, 108)(50, 87)(51, 85)(52, 83)(53, 106)(54, 105)
	local type(s) :: { ( 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.1263
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 54 f = 15
	degree seq :: [ 36^3 ]

E19.1272 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 9, 18})
Quotient :: loop
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T2^6, T2 * T1^-2 * T2^-1 * T1^2, T2^2 * T1 * T2^-2 * T1^-1, T1^-1 * T2^2 * T1^-5 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 10, 64, 29, 83, 17, 71, 5, 59)(2, 56, 7, 61, 22, 76, 45, 99, 26, 80, 8, 62)(4, 58, 12, 66, 30, 84, 47, 101, 35, 89, 14, 68)(6, 60, 19, 73, 41, 95, 54, 108, 43, 97, 20, 74)(9, 63, 27, 81, 48, 102, 34, 88, 15, 69, 28, 82)(11, 65, 21, 75, 44, 98, 36, 90, 16, 70, 24, 78)(13, 67, 31, 85, 37, 91, 51, 105, 50, 104, 33, 87)(18, 72, 38, 92, 52, 106, 49, 103, 32, 86, 39, 93)(23, 77, 40, 94, 53, 107, 46, 100, 25, 79, 42, 96)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 69)(6, 72)(7, 75)(8, 78)(9, 73)(10, 76)(11, 57)(12, 77)(13, 58)(14, 79)(15, 74)(16, 59)(17, 80)(18, 91)(19, 94)(20, 96)(21, 92)(22, 95)(23, 61)(24, 93)(25, 62)(26, 97)(27, 101)(28, 66)(29, 102)(30, 64)(31, 65)(32, 67)(33, 70)(34, 68)(35, 71)(36, 103)(37, 84)(38, 81)(39, 82)(40, 105)(41, 106)(42, 85)(43, 86)(44, 83)(45, 90)(46, 87)(47, 107)(48, 108)(49, 88)(50, 89)(51, 98)(52, 104)(53, 99)(54, 100)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1265
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.1273 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 9, 18})
Quotient :: loop
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^6, T2^-1 * T1^-2 * T2 * T1^2, T2^2 * T1 * T2^-2 * T1^-1, T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1, T2^-1 * T1^-2 * T2^-1 * T1^-4 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 10, 64, 29, 83, 17, 71, 5, 59)(2, 56, 7, 61, 22, 76, 44, 98, 26, 80, 8, 62)(4, 58, 12, 66, 30, 84, 49, 103, 35, 89, 14, 68)(6, 60, 19, 73, 41, 95, 53, 107, 43, 97, 20, 74)(9, 63, 27, 81, 47, 101, 36, 90, 15, 69, 28, 82)(11, 65, 31, 85, 46, 100, 24, 78, 16, 70, 21, 75)(13, 67, 32, 86, 50, 104, 51, 105, 37, 91, 34, 88)(18, 72, 38, 92, 33, 87, 48, 102, 52, 106, 39, 93)(23, 77, 45, 99, 54, 108, 42, 96, 25, 79, 40, 94)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 69)(6, 72)(7, 75)(8, 78)(9, 73)(10, 76)(11, 57)(12, 77)(13, 58)(14, 79)(15, 74)(16, 59)(17, 80)(18, 91)(19, 94)(20, 96)(21, 92)(22, 95)(23, 61)(24, 93)(25, 62)(26, 97)(27, 66)(28, 68)(29, 101)(30, 64)(31, 102)(32, 65)(33, 67)(34, 70)(35, 71)(36, 103)(37, 89)(38, 82)(39, 90)(40, 88)(41, 87)(42, 105)(43, 106)(44, 85)(45, 86)(46, 83)(47, 107)(48, 81)(49, 108)(50, 84)(51, 100)(52, 104)(53, 99)(54, 98)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1264
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.1274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1 * Y2^-2, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y3^6, Y1 * Y3^-1 * Y1 * Y3^-3, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y2^-1, (Y1 * Y2^-1 * R)^2, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1, (Y2 * R * Y2 * Y1^-1)^2, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 18, 72, 13, 67, 4, 58)(3, 57, 9, 63, 19, 73, 38, 92, 17, 71, 11, 65)(5, 59, 15, 69, 10, 64, 27, 81, 31, 85, 16, 70)(7, 61, 20, 74, 33, 87, 30, 84, 12, 66, 22, 76)(8, 62, 23, 77, 21, 75, 32, 86, 14, 68, 24, 78)(25, 79, 39, 93, 52, 106, 50, 104, 28, 82, 41, 95)(26, 80, 43, 97, 47, 101, 51, 105, 29, 83, 45, 99)(34, 88, 40, 94, 48, 102, 53, 107, 36, 90, 42, 96)(35, 89, 44, 98, 49, 103, 54, 108, 37, 91, 46, 100)(109, 163, 111, 165, 118, 172, 114, 168, 127, 181, 139, 193, 121, 175, 125, 179, 113, 167)(110, 164, 115, 169, 129, 183, 126, 180, 141, 195, 122, 176, 112, 166, 120, 174, 116, 170)(117, 171, 133, 187, 155, 209, 146, 200, 160, 214, 137, 191, 119, 173, 136, 190, 134, 188)(123, 177, 142, 196, 157, 211, 135, 189, 156, 210, 145, 199, 124, 178, 144, 198, 143, 197)(128, 182, 147, 201, 161, 215, 138, 192, 158, 212, 150, 204, 130, 184, 149, 203, 148, 202)(131, 185, 151, 205, 162, 216, 140, 194, 159, 213, 154, 208, 132, 186, 153, 207, 152, 206)
	L = (1, 112)(2, 109)(3, 119)(4, 121)(5, 124)(6, 110)(7, 130)(8, 132)(9, 111)(10, 123)(11, 125)(12, 138)(13, 126)(14, 140)(15, 113)(16, 139)(17, 146)(18, 114)(19, 117)(20, 115)(21, 131)(22, 120)(23, 116)(24, 122)(25, 149)(26, 153)(27, 118)(28, 158)(29, 159)(30, 141)(31, 135)(32, 129)(33, 128)(34, 150)(35, 154)(36, 161)(37, 162)(38, 127)(39, 133)(40, 142)(41, 136)(42, 144)(43, 134)(44, 143)(45, 137)(46, 145)(47, 151)(48, 148)(49, 152)(50, 160)(51, 155)(52, 147)(53, 156)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E19.1280
Graph:: bipartite
	v = 15 e = 108 f = 57
	degree seq :: [ 12^9, 18^6 ]

E19.1275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^2 * Y2^2, Y1^2 * Y3^-1 * Y1^3, Y3^2 * Y2 * Y3^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1, (Y1 * Y2 * R)^2, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, (Y2 * R * Y2^-1 * Y1^-1)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 18, 72, 13, 67, 4, 58)(3, 57, 9, 63, 17, 71, 38, 92, 29, 83, 11, 65)(5, 59, 15, 69, 19, 73, 27, 81, 10, 64, 16, 70)(7, 61, 20, 74, 24, 78, 32, 86, 12, 66, 21, 75)(8, 62, 22, 76, 31, 85, 33, 87, 14, 68, 23, 77)(25, 79, 39, 93, 47, 101, 51, 105, 28, 82, 41, 95)(26, 80, 43, 97, 50, 104, 52, 106, 30, 84, 45, 99)(34, 88, 40, 94, 48, 102, 53, 107, 36, 90, 42, 96)(35, 89, 44, 98, 49, 103, 54, 108, 37, 91, 46, 100)(109, 163, 111, 165, 118, 172, 121, 175, 137, 191, 127, 181, 114, 168, 125, 179, 113, 167)(110, 164, 115, 169, 122, 176, 112, 166, 120, 174, 139, 193, 126, 180, 132, 186, 116, 170)(117, 171, 133, 187, 138, 192, 119, 173, 136, 190, 158, 212, 146, 200, 155, 209, 134, 188)(123, 177, 142, 196, 145, 199, 124, 178, 144, 198, 157, 211, 135, 189, 156, 210, 143, 197)(128, 182, 147, 201, 150, 204, 129, 183, 149, 203, 161, 215, 140, 194, 159, 213, 148, 202)(130, 184, 151, 205, 154, 208, 131, 185, 153, 207, 162, 216, 141, 195, 160, 214, 152, 206)
	L = (1, 112)(2, 109)(3, 119)(4, 121)(5, 124)(6, 110)(7, 129)(8, 131)(9, 111)(10, 135)(11, 137)(12, 140)(13, 126)(14, 141)(15, 113)(16, 118)(17, 117)(18, 114)(19, 123)(20, 115)(21, 120)(22, 116)(23, 122)(24, 128)(25, 149)(26, 153)(27, 127)(28, 159)(29, 146)(30, 160)(31, 130)(32, 132)(33, 139)(34, 150)(35, 154)(36, 161)(37, 162)(38, 125)(39, 133)(40, 142)(41, 136)(42, 144)(43, 134)(44, 143)(45, 138)(46, 145)(47, 147)(48, 148)(49, 152)(50, 151)(51, 155)(52, 158)(53, 156)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E19.1281
Graph:: bipartite
	v = 15 e = 108 f = 57
	degree seq :: [ 12^9, 18^6 ]

E19.1276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-2 * Y2 * Y1, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y2^2 * Y1^-1 * Y2^-2, Y1^9, (Y3^-1 * Y1^-1)^6, Y1 * Y2 * Y1 * Y2^13 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 18, 72, 34, 88, 42, 96, 29, 83, 13, 67, 4, 58)(3, 57, 9, 63, 24, 78, 35, 89, 49, 103, 46, 100, 31, 85, 14, 68, 11, 65)(5, 59, 15, 69, 7, 61, 20, 74, 38, 92, 48, 102, 43, 97, 33, 87, 16, 70)(8, 62, 22, 76, 19, 73, 36, 90, 51, 105, 44, 98, 30, 84, 28, 82, 12, 66)(10, 64, 21, 75, 37, 91, 50, 104, 54, 108, 47, 101, 41, 95, 27, 81, 26, 80)(17, 71, 23, 77, 25, 79, 39, 93, 40, 94, 52, 106, 53, 107, 45, 99, 32, 86)(109, 163, 111, 165, 118, 172, 130, 184, 147, 201, 128, 182, 126, 180, 143, 197, 158, 212, 159, 213, 161, 215, 151, 205, 137, 191, 139, 193, 149, 203, 136, 190, 125, 179, 113, 167)(110, 164, 115, 169, 129, 183, 132, 186, 148, 202, 144, 198, 142, 196, 156, 210, 162, 216, 154, 208, 153, 207, 138, 192, 121, 175, 124, 178, 135, 189, 119, 173, 131, 185, 116, 170)(112, 166, 120, 174, 134, 188, 123, 177, 133, 187, 117, 171, 114, 168, 127, 181, 145, 199, 146, 200, 160, 214, 157, 211, 150, 204, 152, 206, 155, 209, 141, 195, 140, 194, 122, 176)
	L = (1, 111)(2, 115)(3, 118)(4, 120)(5, 109)(6, 127)(7, 129)(8, 110)(9, 114)(10, 130)(11, 131)(12, 134)(13, 124)(14, 112)(15, 133)(16, 135)(17, 113)(18, 143)(19, 145)(20, 126)(21, 132)(22, 147)(23, 116)(24, 148)(25, 117)(26, 123)(27, 119)(28, 125)(29, 139)(30, 121)(31, 149)(32, 122)(33, 140)(34, 156)(35, 158)(36, 142)(37, 146)(38, 160)(39, 128)(40, 144)(41, 136)(42, 152)(43, 137)(44, 155)(45, 138)(46, 153)(47, 141)(48, 162)(49, 150)(50, 159)(51, 161)(52, 157)(53, 151)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 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 E19.1278
Graph:: bipartite
	v = 9 e = 108 f = 63
	degree seq :: [ 18^6, 36^3 ]

E19.1277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y2^2 * Y1 * Y2^-1, Y1 * Y2^3 * Y1^-1 * Y2 * Y1, Y1^2 * Y2 * Y1 * Y2 * Y1^2, (Y3^-1 * Y1^-1)^6, Y2^18 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 18, 72, 43, 97, 28, 82, 36, 90, 13, 67, 4, 58)(3, 57, 9, 63, 27, 81, 39, 93, 14, 68, 38, 92, 46, 100, 20, 74, 11, 65)(5, 59, 15, 69, 35, 89, 45, 99, 23, 77, 7, 61, 21, 75, 42, 96, 16, 70)(8, 62, 24, 78, 12, 66, 34, 88, 44, 98, 19, 73, 37, 91, 30, 84, 25, 79)(10, 64, 22, 76, 41, 95, 50, 104, 33, 87, 49, 103, 54, 108, 51, 105, 31, 85)(17, 71, 26, 80, 47, 101, 53, 107, 52, 106, 29, 83, 48, 102, 32, 86, 40, 94)(109, 163, 111, 165, 118, 172, 138, 192, 161, 215, 153, 207, 126, 180, 147, 201, 158, 212, 132, 186, 156, 210, 129, 183, 144, 198, 154, 208, 162, 216, 152, 206, 125, 179, 113, 167)(110, 164, 115, 169, 130, 184, 146, 200, 160, 214, 142, 196, 151, 205, 124, 178, 141, 195, 119, 173, 140, 194, 145, 199, 121, 175, 143, 197, 159, 213, 135, 189, 134, 188, 116, 170)(112, 166, 120, 174, 139, 193, 150, 204, 155, 209, 128, 182, 114, 168, 127, 181, 149, 203, 123, 177, 137, 191, 117, 171, 136, 190, 133, 187, 157, 211, 131, 185, 148, 202, 122, 176)
	L = (1, 111)(2, 115)(3, 118)(4, 120)(5, 109)(6, 127)(7, 130)(8, 110)(9, 136)(10, 138)(11, 140)(12, 139)(13, 143)(14, 112)(15, 137)(16, 141)(17, 113)(18, 147)(19, 149)(20, 114)(21, 144)(22, 146)(23, 148)(24, 156)(25, 157)(26, 116)(27, 134)(28, 133)(29, 117)(30, 161)(31, 150)(32, 145)(33, 119)(34, 151)(35, 159)(36, 154)(37, 121)(38, 160)(39, 158)(40, 122)(41, 123)(42, 155)(43, 124)(44, 125)(45, 126)(46, 162)(47, 128)(48, 129)(49, 131)(50, 132)(51, 135)(52, 142)(53, 153)(54, 152)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 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 E19.1279
Graph:: bipartite
	v = 9 e = 108 f = 63
	degree seq :: [ 18^6, 36^3 ]

E19.1278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2^6, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3, Y3^4 * Y2^-1 * Y3^2 * Y2^-1, (Y3^-1 * Y1^-1)^18 ]
Map::
	R = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(109, 163, 110, 164, 114, 168, 126, 180, 121, 175, 112, 166)(111, 165, 117, 171, 127, 181, 147, 201, 138, 192, 119, 173)(113, 167, 123, 177, 128, 182, 149, 203, 141, 195, 124, 178)(115, 169, 129, 183, 145, 199, 140, 194, 120, 174, 131, 185)(116, 170, 132, 186, 146, 200, 142, 196, 122, 176, 133, 187)(118, 172, 130, 184, 148, 202, 159, 213, 155, 209, 137, 191)(125, 179, 134, 188, 150, 204, 160, 214, 158, 212, 143, 197)(135, 189, 152, 206, 161, 215, 156, 210, 139, 193, 154, 208)(136, 190, 151, 205, 162, 216, 157, 211, 144, 198, 153, 207)
	L = (1, 111)(2, 115)(3, 118)(4, 120)(5, 109)(6, 127)(7, 130)(8, 110)(9, 132)(10, 136)(11, 133)(12, 137)(13, 138)(14, 112)(15, 135)(16, 139)(17, 113)(18, 145)(19, 148)(20, 114)(21, 149)(22, 152)(23, 123)(24, 151)(25, 153)(26, 116)(27, 117)(28, 150)(29, 154)(30, 155)(31, 119)(32, 124)(33, 121)(34, 157)(35, 122)(36, 125)(37, 159)(38, 126)(39, 142)(40, 162)(41, 161)(42, 128)(43, 129)(44, 160)(45, 131)(46, 134)(47, 144)(48, 143)(49, 140)(50, 141)(51, 156)(52, 146)(53, 147)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E19.1276
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 2^54, 12^9 ]

E19.1279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-2 * Y2 * Y3^2, Y2^6, Y3^-2 * Y2^-1 * Y3^-4 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^18 ]
Map::
	R = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(109, 163, 110, 164, 114, 168, 126, 180, 121, 175, 112, 166)(111, 165, 117, 171, 127, 181, 147, 201, 139, 193, 119, 173)(113, 167, 123, 177, 128, 182, 149, 203, 142, 196, 124, 178)(115, 169, 129, 183, 145, 199, 141, 195, 120, 174, 131, 185)(116, 170, 132, 186, 146, 200, 138, 192, 122, 176, 133, 187)(118, 172, 130, 184, 148, 202, 159, 213, 158, 212, 137, 191)(125, 179, 134, 188, 150, 204, 160, 214, 155, 209, 143, 197)(135, 189, 154, 208, 161, 215, 157, 211, 140, 194, 152, 206)(136, 190, 153, 207, 144, 198, 151, 205, 162, 216, 156, 210)
	L = (1, 111)(2, 115)(3, 118)(4, 120)(5, 109)(6, 127)(7, 130)(8, 110)(9, 133)(10, 136)(11, 138)(12, 137)(13, 139)(14, 112)(15, 135)(16, 140)(17, 113)(18, 145)(19, 148)(20, 114)(21, 123)(22, 152)(23, 124)(24, 151)(25, 153)(26, 116)(27, 117)(28, 155)(29, 157)(30, 156)(31, 158)(32, 119)(33, 149)(34, 121)(35, 122)(36, 125)(37, 159)(38, 126)(39, 132)(40, 144)(41, 161)(42, 128)(43, 129)(44, 143)(45, 131)(46, 134)(47, 142)(48, 141)(49, 160)(50, 162)(51, 154)(52, 146)(53, 147)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E19.1277
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 2^54, 12^9 ]

E19.1280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3^6, Y3 * Y1^-2 * Y3^-1 * Y1^2, Y1^-1 * Y3^2 * Y1 * Y3^-2, Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 18, 72, 37, 91, 30, 84, 10, 64, 22, 76, 41, 95, 52, 106, 50, 104, 35, 89, 17, 71, 26, 80, 43, 97, 32, 86, 13, 67, 4, 58)(3, 57, 9, 63, 19, 73, 40, 94, 51, 105, 44, 98, 29, 83, 48, 102, 54, 108, 46, 100, 33, 87, 16, 70, 5, 59, 15, 69, 20, 74, 42, 96, 31, 85, 11, 65)(7, 61, 21, 75, 38, 92, 27, 81, 47, 101, 53, 107, 45, 99, 36, 90, 49, 103, 34, 88, 14, 68, 25, 79, 8, 62, 24, 78, 39, 93, 28, 82, 12, 66, 23, 77)(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, 118)(4, 120)(5, 109)(6, 127)(7, 130)(8, 110)(9, 135)(10, 137)(11, 129)(12, 138)(13, 139)(14, 112)(15, 136)(16, 132)(17, 113)(18, 146)(19, 149)(20, 114)(21, 152)(22, 153)(23, 148)(24, 119)(25, 150)(26, 116)(27, 156)(28, 117)(29, 125)(30, 155)(31, 145)(32, 147)(33, 121)(34, 123)(35, 122)(36, 124)(37, 159)(38, 160)(39, 126)(40, 161)(41, 162)(42, 131)(43, 128)(44, 144)(45, 134)(46, 133)(47, 143)(48, 142)(49, 140)(50, 141)(51, 158)(52, 157)(53, 154)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1274
Graph:: simple bipartite
	v = 57 e = 108 f = 15
	degree seq :: [ 2^54, 36^3 ]

E19.1281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-2 * Y1 * Y3^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^6, Y3^-1 * Y1^-2 * Y3 * Y1^2, Y3^-1 * Y1^-2 * Y3^-1 * Y1^-4, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 18, 72, 37, 91, 35, 89, 17, 71, 26, 80, 43, 97, 52, 106, 50, 104, 30, 84, 10, 64, 22, 76, 41, 95, 33, 87, 13, 67, 4, 58)(3, 57, 9, 63, 19, 73, 40, 94, 34, 88, 16, 70, 5, 59, 15, 69, 20, 74, 42, 96, 51, 105, 46, 100, 29, 83, 47, 101, 53, 107, 45, 99, 32, 86, 11, 65)(7, 61, 21, 75, 38, 92, 28, 82, 14, 68, 25, 79, 8, 62, 24, 78, 39, 93, 36, 90, 49, 103, 54, 108, 44, 98, 31, 85, 48, 102, 27, 81, 12, 66, 23, 77)(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, 118)(4, 120)(5, 109)(6, 127)(7, 130)(8, 110)(9, 135)(10, 137)(11, 139)(12, 138)(13, 140)(14, 112)(15, 136)(16, 129)(17, 113)(18, 146)(19, 149)(20, 114)(21, 119)(22, 152)(23, 153)(24, 124)(25, 148)(26, 116)(27, 155)(28, 117)(29, 125)(30, 157)(31, 154)(32, 158)(33, 156)(34, 121)(35, 122)(36, 123)(37, 142)(38, 141)(39, 126)(40, 131)(41, 161)(42, 133)(43, 128)(44, 134)(45, 162)(46, 132)(47, 144)(48, 160)(49, 143)(50, 159)(51, 145)(52, 147)(53, 151)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1275
Graph:: simple bipartite
	v = 57 e = 108 f = 15
	degree seq :: [ 2^54, 36^3 ]

E19.1282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1, Y1^6, Y2^-2 * Y1^-1 * Y2^2 * Y3^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y3^3, Y2^-4 * Y3^2 * Y2^-2 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 18, 72, 13, 67, 4, 58)(3, 57, 9, 63, 19, 73, 39, 93, 31, 85, 11, 65)(5, 59, 15, 69, 20, 74, 41, 95, 34, 88, 16, 70)(7, 61, 21, 75, 37, 91, 33, 87, 12, 66, 23, 77)(8, 62, 24, 78, 38, 92, 30, 84, 14, 68, 25, 79)(10, 64, 22, 76, 40, 94, 51, 105, 50, 104, 29, 83)(17, 71, 26, 80, 42, 96, 52, 106, 47, 101, 35, 89)(27, 81, 46, 100, 53, 107, 49, 103, 32, 86, 44, 98)(28, 82, 45, 99, 36, 90, 43, 97, 54, 108, 48, 102)(109, 163, 111, 165, 118, 172, 136, 190, 155, 209, 142, 196, 121, 175, 139, 193, 158, 212, 162, 216, 150, 204, 128, 182, 114, 168, 127, 181, 148, 202, 144, 198, 125, 179, 113, 167)(110, 164, 115, 169, 130, 184, 152, 206, 143, 197, 122, 176, 112, 166, 120, 174, 137, 191, 157, 211, 160, 214, 146, 200, 126, 180, 145, 199, 159, 213, 154, 208, 134, 188, 116, 170)(117, 171, 133, 187, 153, 207, 131, 185, 124, 178, 140, 194, 119, 173, 138, 192, 156, 210, 141, 195, 149, 203, 161, 215, 147, 201, 132, 186, 151, 205, 129, 183, 123, 177, 135, 189)
	L = (1, 112)(2, 109)(3, 119)(4, 121)(5, 124)(6, 110)(7, 131)(8, 133)(9, 111)(10, 137)(11, 139)(12, 141)(13, 126)(14, 138)(15, 113)(16, 142)(17, 143)(18, 114)(19, 117)(20, 123)(21, 115)(22, 118)(23, 120)(24, 116)(25, 122)(26, 125)(27, 152)(28, 156)(29, 158)(30, 146)(31, 147)(32, 157)(33, 145)(34, 149)(35, 155)(36, 153)(37, 129)(38, 132)(39, 127)(40, 130)(41, 128)(42, 134)(43, 144)(44, 140)(45, 136)(46, 135)(47, 160)(48, 162)(49, 161)(50, 159)(51, 148)(52, 150)(53, 154)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1284
Graph:: bipartite
	v = 12 e = 108 f = 60
	degree seq :: [ 12^9, 36^3 ]

E19.1283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^2 * Y3 * Y2^-2 * Y1, Y1^6, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^4 * Y1^-1 * Y2, Y3^3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 18, 72, 13, 67, 4, 58)(3, 57, 9, 63, 19, 73, 39, 93, 30, 84, 11, 65)(5, 59, 15, 69, 20, 74, 41, 95, 33, 87, 16, 70)(7, 61, 21, 75, 37, 91, 32, 86, 12, 66, 23, 77)(8, 62, 24, 78, 38, 92, 34, 88, 14, 68, 25, 79)(10, 64, 22, 76, 40, 94, 51, 105, 47, 101, 29, 83)(17, 71, 26, 80, 42, 96, 52, 106, 50, 104, 35, 89)(27, 81, 44, 98, 53, 107, 48, 102, 31, 85, 46, 100)(28, 82, 43, 97, 54, 108, 49, 103, 36, 90, 45, 99)(109, 163, 111, 165, 118, 172, 136, 190, 150, 204, 128, 182, 114, 168, 127, 181, 148, 202, 162, 216, 158, 212, 141, 195, 121, 175, 138, 192, 155, 209, 144, 198, 125, 179, 113, 167)(110, 164, 115, 169, 130, 184, 152, 206, 160, 214, 146, 200, 126, 180, 145, 199, 159, 213, 156, 210, 143, 197, 122, 176, 112, 166, 120, 174, 137, 191, 154, 208, 134, 188, 116, 170)(117, 171, 132, 186, 151, 205, 129, 183, 149, 203, 161, 215, 147, 201, 142, 196, 157, 211, 140, 194, 124, 178, 139, 193, 119, 173, 133, 187, 153, 207, 131, 185, 123, 177, 135, 189)
	L = (1, 112)(2, 109)(3, 119)(4, 121)(5, 124)(6, 110)(7, 131)(8, 133)(9, 111)(10, 137)(11, 138)(12, 140)(13, 126)(14, 142)(15, 113)(16, 141)(17, 143)(18, 114)(19, 117)(20, 123)(21, 115)(22, 118)(23, 120)(24, 116)(25, 122)(26, 125)(27, 154)(28, 153)(29, 155)(30, 147)(31, 156)(32, 145)(33, 149)(34, 146)(35, 158)(36, 157)(37, 129)(38, 132)(39, 127)(40, 130)(41, 128)(42, 134)(43, 136)(44, 135)(45, 144)(46, 139)(47, 159)(48, 161)(49, 162)(50, 160)(51, 148)(52, 150)(53, 152)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1285
Graph:: bipartite
	v = 12 e = 108 f = 60
	degree seq :: [ 12^9, 36^3 ]

E19.1284 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ 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 * Y3^2 * Y1^-1 * Y3^-2, Y1^9, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 18, 72, 34, 88, 42, 96, 29, 83, 13, 67, 4, 58)(3, 57, 9, 63, 24, 78, 35, 89, 49, 103, 46, 100, 31, 85, 14, 68, 11, 65)(5, 59, 15, 69, 7, 61, 20, 74, 38, 92, 48, 102, 43, 97, 33, 87, 16, 70)(8, 62, 22, 76, 19, 73, 36, 90, 51, 105, 44, 98, 30, 84, 28, 82, 12, 66)(10, 64, 21, 75, 37, 91, 50, 104, 54, 108, 47, 101, 41, 95, 27, 81, 26, 80)(17, 71, 23, 77, 25, 79, 39, 93, 40, 94, 52, 106, 53, 107, 45, 99, 32, 86)(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, 118)(4, 120)(5, 109)(6, 127)(7, 129)(8, 110)(9, 114)(10, 130)(11, 131)(12, 134)(13, 124)(14, 112)(15, 133)(16, 135)(17, 113)(18, 143)(19, 145)(20, 126)(21, 132)(22, 147)(23, 116)(24, 148)(25, 117)(26, 123)(27, 119)(28, 125)(29, 139)(30, 121)(31, 149)(32, 122)(33, 140)(34, 156)(35, 158)(36, 142)(37, 146)(38, 160)(39, 128)(40, 144)(41, 136)(42, 152)(43, 137)(44, 155)(45, 138)(46, 153)(47, 141)(48, 162)(49, 150)(50, 159)(51, 161)(52, 157)(53, 151)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E19.1282
Graph:: simple bipartite
	v = 60 e = 108 f = 12
	degree seq :: [ 2^54, 18^6 ]

E19.1285 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y1 * Y3^-3 * Y1^-2 * Y3^-1, Y1^4 * Y3 * Y1 * Y3, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 18, 72, 43, 97, 28, 82, 36, 90, 13, 67, 4, 58)(3, 57, 9, 63, 27, 81, 39, 93, 14, 68, 38, 92, 46, 100, 20, 74, 11, 65)(5, 59, 15, 69, 35, 89, 45, 99, 23, 77, 7, 61, 21, 75, 42, 96, 16, 70)(8, 62, 24, 78, 12, 66, 34, 88, 44, 98, 19, 73, 37, 91, 30, 84, 25, 79)(10, 64, 22, 76, 41, 95, 50, 104, 33, 87, 49, 103, 54, 108, 51, 105, 31, 85)(17, 71, 26, 80, 47, 101, 53, 107, 52, 106, 29, 83, 48, 102, 32, 86, 40, 94)(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, 118)(4, 120)(5, 109)(6, 127)(7, 130)(8, 110)(9, 136)(10, 138)(11, 140)(12, 139)(13, 143)(14, 112)(15, 137)(16, 141)(17, 113)(18, 147)(19, 149)(20, 114)(21, 144)(22, 146)(23, 148)(24, 156)(25, 157)(26, 116)(27, 134)(28, 133)(29, 117)(30, 161)(31, 150)(32, 145)(33, 119)(34, 151)(35, 159)(36, 154)(37, 121)(38, 160)(39, 158)(40, 122)(41, 123)(42, 155)(43, 124)(44, 125)(45, 126)(46, 162)(47, 128)(48, 129)(49, 131)(50, 132)(51, 135)(52, 142)(53, 153)(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) :: { ( 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E19.1283
Graph:: simple bipartite
	v = 60 e = 108 f = 12
	degree seq :: [ 2^54, 18^6 ]

E19.1286 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 9, 18})
Quotient :: edge
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6, T2^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 36, 24, 13, 5)(2, 7, 17, 29, 41, 42, 30, 18, 8)(4, 10, 20, 32, 43, 46, 35, 23, 12)(6, 15, 27, 39, 49, 50, 40, 28, 16)(11, 21, 33, 44, 51, 52, 45, 34, 22)(14, 25, 37, 47, 53, 54, 48, 38, 26)(55, 56, 60, 68, 65, 58)(57, 61, 69, 79, 75, 64)(59, 62, 70, 80, 76, 66)(63, 71, 81, 91, 87, 74)(67, 72, 82, 92, 88, 77)(73, 83, 93, 101, 98, 86)(78, 84, 94, 102, 99, 89)(85, 95, 103, 107, 105, 97)(90, 96, 104, 108, 106, 100)
	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) :: { ( 36^6 ), ( 36^9 ) }
Outer automorphisms :: reflexible
Dual of E19.1290
Transitivity :: ET+
Graph:: simple bipartite
	v = 15 e = 54 f = 3
	degree seq :: [ 6^9, 9^6 ]

E19.1287 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 9, 18})
Quotient :: edge
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-3 * T2^6, T1^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 28, 14, 27, 44, 53, 49, 38, 22, 36, 41, 25, 13, 5)(2, 7, 17, 31, 46, 43, 26, 42, 52, 50, 39, 23, 11, 21, 35, 32, 18, 8)(4, 10, 20, 34, 30, 16, 6, 15, 29, 45, 54, 48, 37, 47, 51, 40, 24, 12)(55, 56, 60, 68, 80, 91, 76, 65, 58)(57, 61, 69, 81, 96, 101, 90, 75, 64)(59, 62, 70, 82, 97, 102, 92, 77, 66)(63, 71, 83, 98, 106, 105, 95, 89, 74)(67, 72, 84, 87, 100, 108, 103, 93, 78)(73, 85, 99, 107, 104, 94, 79, 86, 88)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 12^9 ), ( 12^18 ) }
Outer automorphisms :: reflexible
Dual of E19.1291
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 54 f = 9
	degree seq :: [ 9^6, 18^3 ]

E19.1288 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 9, 18})
Quotient :: edge
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^6, T1^-9 * T2^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 13, 5)(2, 7, 17, 30, 18, 8)(4, 10, 20, 31, 24, 12)(6, 15, 28, 42, 29, 16)(11, 21, 32, 43, 36, 23)(14, 26, 40, 54, 41, 27)(22, 33, 44, 49, 48, 35)(25, 38, 52, 46, 53, 39)(34, 45, 51, 37, 50, 47)(55, 56, 60, 68, 79, 91, 103, 97, 85, 73, 84, 96, 108, 100, 88, 76, 65, 58)(57, 61, 69, 80, 92, 104, 102, 90, 78, 67, 72, 83, 95, 107, 99, 87, 75, 64)(59, 62, 70, 81, 93, 105, 98, 86, 74, 63, 71, 82, 94, 106, 101, 89, 77, 66)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^6 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E19.1289
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 54 f = 6
	degree seq :: [ 6^9, 18^3 ]

E19.1289 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 9, 18})
Quotient :: loop
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6, T2^9 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 31, 85, 36, 90, 24, 78, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 29, 83, 41, 95, 42, 96, 30, 84, 18, 72, 8, 62)(4, 58, 10, 64, 20, 74, 32, 86, 43, 97, 46, 100, 35, 89, 23, 77, 12, 66)(6, 60, 15, 69, 27, 81, 39, 93, 49, 103, 50, 104, 40, 94, 28, 82, 16, 70)(11, 65, 21, 75, 33, 87, 44, 98, 51, 105, 52, 106, 45, 99, 34, 88, 22, 76)(14, 68, 25, 79, 37, 91, 47, 101, 53, 107, 54, 108, 48, 102, 38, 92, 26, 80)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 65)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 63)(21, 64)(22, 66)(23, 67)(24, 84)(25, 75)(26, 76)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 73)(33, 74)(34, 77)(35, 78)(36, 96)(37, 87)(38, 88)(39, 101)(40, 102)(41, 103)(42, 104)(43, 85)(44, 86)(45, 89)(46, 90)(47, 98)(48, 99)(49, 107)(50, 108)(51, 97)(52, 100)(53, 105)(54, 106)
	local type(s) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1288
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 54 f = 12
	degree seq :: [ 18^6 ]

E19.1290 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 9, 18})
Quotient :: loop
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-3 * T2^6, T1^9 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 33, 87, 28, 82, 14, 68, 27, 81, 44, 98, 53, 107, 49, 103, 38, 92, 22, 76, 36, 90, 41, 95, 25, 79, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 31, 85, 46, 100, 43, 97, 26, 80, 42, 96, 52, 106, 50, 104, 39, 93, 23, 77, 11, 65, 21, 75, 35, 89, 32, 86, 18, 72, 8, 62)(4, 58, 10, 64, 20, 74, 34, 88, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 45, 99, 54, 108, 48, 102, 37, 91, 47, 101, 51, 105, 40, 94, 24, 78, 12, 66)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 86)(26, 91)(27, 96)(28, 97)(29, 98)(30, 87)(31, 99)(32, 88)(33, 100)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(40, 79)(41, 89)(42, 101)(43, 102)(44, 106)(45, 107)(46, 108)(47, 90)(48, 92)(49, 93)(50, 94)(51, 95)(52, 105)(53, 104)(54, 103)
	local type(s) :: { ( 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.1286
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 54 f = 15
	degree seq :: [ 36^3 ]

E19.1291 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 9, 18})
Quotient :: loop
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^6, T1^-9 * T2^3 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 30, 84, 18, 72, 8, 62)(4, 58, 10, 64, 20, 74, 31, 85, 24, 78, 12, 66)(6, 60, 15, 69, 28, 82, 42, 96, 29, 83, 16, 70)(11, 65, 21, 75, 32, 86, 43, 97, 36, 90, 23, 77)(14, 68, 26, 80, 40, 94, 54, 108, 41, 95, 27, 81)(22, 76, 33, 87, 44, 98, 49, 103, 48, 102, 35, 89)(25, 79, 38, 92, 52, 106, 46, 100, 53, 107, 39, 93)(34, 88, 45, 99, 51, 105, 37, 91, 50, 104, 47, 101)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 85)(44, 86)(45, 87)(46, 88)(47, 89)(48, 90)(49, 97)(50, 102)(51, 98)(52, 101)(53, 99)(54, 100)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1287
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.1292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y1^6, Y2^9, Y3^18 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 25, 79, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 26, 80, 22, 76, 12, 66)(9, 63, 17, 71, 27, 81, 37, 91, 33, 87, 20, 74)(13, 67, 18, 72, 28, 82, 38, 92, 34, 88, 23, 77)(19, 73, 29, 83, 39, 93, 47, 101, 44, 98, 32, 86)(24, 78, 30, 84, 40, 94, 48, 102, 45, 99, 35, 89)(31, 85, 41, 95, 49, 103, 53, 107, 51, 105, 43, 97)(36, 90, 42, 96, 50, 104, 54, 108, 52, 106, 46, 100)(109, 163, 111, 165, 117, 171, 127, 181, 139, 193, 144, 198, 132, 186, 121, 175, 113, 167)(110, 164, 115, 169, 125, 179, 137, 191, 149, 203, 150, 204, 138, 192, 126, 180, 116, 170)(112, 166, 118, 172, 128, 182, 140, 194, 151, 205, 154, 208, 143, 197, 131, 185, 120, 174)(114, 168, 123, 177, 135, 189, 147, 201, 157, 211, 158, 212, 148, 202, 136, 190, 124, 178)(119, 173, 129, 183, 141, 195, 152, 206, 159, 213, 160, 214, 153, 207, 142, 196, 130, 184)(122, 176, 133, 187, 145, 199, 155, 209, 161, 215, 162, 216, 156, 210, 146, 200, 134, 188)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 122)(12, 130)(13, 131)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 140)(20, 141)(21, 133)(22, 134)(23, 142)(24, 143)(25, 123)(26, 124)(27, 125)(28, 126)(29, 127)(30, 132)(31, 151)(32, 152)(33, 145)(34, 146)(35, 153)(36, 154)(37, 135)(38, 136)(39, 137)(40, 138)(41, 139)(42, 144)(43, 159)(44, 155)(45, 156)(46, 160)(47, 147)(48, 148)(49, 149)(50, 150)(51, 161)(52, 162)(53, 157)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E19.1295
Graph:: bipartite
	v = 15 e = 108 f = 57
	degree seq :: [ 12^9, 18^6 ]

E19.1293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y2^-1), Y1^3 * Y2^-6, Y1^9, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 37, 91, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 42, 96, 47, 101, 36, 90, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 28, 82, 43, 97, 48, 102, 38, 92, 23, 77, 12, 66)(9, 63, 17, 71, 29, 83, 44, 98, 52, 106, 51, 105, 41, 95, 35, 89, 20, 74)(13, 67, 18, 72, 30, 84, 33, 87, 46, 100, 54, 108, 49, 103, 39, 93, 24, 78)(19, 73, 31, 85, 45, 99, 53, 107, 50, 104, 40, 94, 25, 79, 32, 86, 34, 88)(109, 163, 111, 165, 117, 171, 127, 181, 141, 195, 136, 190, 122, 176, 135, 189, 152, 206, 161, 215, 157, 211, 146, 200, 130, 184, 144, 198, 149, 203, 133, 187, 121, 175, 113, 167)(110, 164, 115, 169, 125, 179, 139, 193, 154, 208, 151, 205, 134, 188, 150, 204, 160, 214, 158, 212, 147, 201, 131, 185, 119, 173, 129, 183, 143, 197, 140, 194, 126, 180, 116, 170)(112, 166, 118, 172, 128, 182, 142, 196, 138, 192, 124, 178, 114, 168, 123, 177, 137, 191, 153, 207, 162, 216, 156, 210, 145, 199, 155, 209, 159, 213, 148, 202, 132, 186, 120, 174)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 150)(27, 152)(28, 122)(29, 153)(30, 124)(31, 154)(32, 126)(33, 136)(34, 138)(35, 140)(36, 149)(37, 155)(38, 130)(39, 131)(40, 132)(41, 133)(42, 160)(43, 134)(44, 161)(45, 162)(46, 151)(47, 159)(48, 145)(49, 146)(50, 147)(51, 148)(52, 158)(53, 157)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 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 E19.1294
Graph:: bipartite
	v = 9 e = 108 f = 63
	degree seq :: [ 18^6, 36^3 ]

E19.1294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^6, Y2^3 * Y3^9, (Y3^-1 * Y1^-1)^18 ]
Map::
	R = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(109, 163, 110, 164, 114, 168, 122, 176, 119, 173, 112, 166)(111, 165, 115, 169, 123, 177, 133, 187, 129, 183, 118, 172)(113, 167, 116, 170, 124, 178, 134, 188, 130, 184, 120, 174)(117, 171, 125, 179, 135, 189, 145, 199, 141, 195, 128, 182)(121, 175, 126, 180, 136, 190, 146, 200, 142, 196, 131, 185)(127, 181, 137, 191, 147, 201, 157, 211, 153, 207, 140, 194)(132, 186, 138, 192, 148, 202, 158, 212, 154, 208, 143, 197)(139, 193, 149, 203, 159, 213, 156, 210, 162, 216, 152, 206)(144, 198, 150, 204, 160, 214, 151, 205, 161, 215, 155, 209)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 133)(15, 135)(16, 114)(17, 137)(18, 116)(19, 139)(20, 140)(21, 141)(22, 119)(23, 120)(24, 121)(25, 145)(26, 122)(27, 147)(28, 124)(29, 149)(30, 126)(31, 151)(32, 152)(33, 153)(34, 130)(35, 131)(36, 132)(37, 157)(38, 134)(39, 159)(40, 136)(41, 161)(42, 138)(43, 158)(44, 160)(45, 162)(46, 142)(47, 143)(48, 144)(49, 156)(50, 146)(51, 155)(52, 148)(53, 154)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E19.1293
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 2^54, 12^9 ]

E19.1295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^6, Y3^3 * Y1^-9, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 25, 79, 37, 91, 49, 103, 43, 97, 31, 85, 19, 73, 30, 84, 42, 96, 54, 108, 46, 100, 34, 88, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 26, 80, 38, 92, 50, 104, 48, 102, 36, 90, 24, 78, 13, 67, 18, 72, 29, 83, 41, 95, 53, 107, 45, 99, 33, 87, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 27, 81, 39, 93, 51, 105, 44, 98, 32, 86, 20, 74, 9, 63, 17, 71, 28, 82, 40, 94, 52, 106, 47, 101, 35, 89, 23, 77, 12, 66)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 134)(15, 136)(16, 114)(17, 138)(18, 116)(19, 121)(20, 139)(21, 140)(22, 141)(23, 119)(24, 120)(25, 146)(26, 148)(27, 122)(28, 150)(29, 124)(30, 126)(31, 132)(32, 151)(33, 152)(34, 153)(35, 130)(36, 131)(37, 158)(38, 160)(39, 133)(40, 162)(41, 135)(42, 137)(43, 144)(44, 157)(45, 159)(46, 161)(47, 142)(48, 143)(49, 156)(50, 155)(51, 145)(52, 154)(53, 147)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1292
Graph:: simple bipartite
	v = 57 e = 108 f = 15
	degree seq :: [ 2^54, 36^3 ]

E19.1296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y1^6, Y2^9 * Y1^3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 25, 79, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 26, 80, 22, 76, 12, 66)(9, 63, 17, 71, 27, 81, 37, 91, 33, 87, 20, 74)(13, 67, 18, 72, 28, 82, 38, 92, 34, 88, 23, 77)(19, 73, 29, 83, 39, 93, 49, 103, 45, 99, 32, 86)(24, 78, 30, 84, 40, 94, 50, 104, 46, 100, 35, 89)(31, 85, 41, 95, 51, 105, 48, 102, 54, 108, 44, 98)(36, 90, 42, 96, 52, 106, 43, 97, 53, 107, 47, 101)(109, 163, 111, 165, 117, 171, 127, 181, 139, 193, 151, 205, 158, 212, 146, 200, 134, 188, 122, 176, 133, 187, 145, 199, 157, 211, 156, 210, 144, 198, 132, 186, 121, 175, 113, 167)(110, 164, 115, 169, 125, 179, 137, 191, 149, 203, 161, 215, 154, 208, 142, 196, 130, 184, 119, 173, 129, 183, 141, 195, 153, 207, 162, 216, 150, 204, 138, 192, 126, 180, 116, 170)(112, 166, 118, 172, 128, 182, 140, 194, 152, 206, 160, 214, 148, 202, 136, 190, 124, 178, 114, 168, 123, 177, 135, 189, 147, 201, 159, 213, 155, 209, 143, 197, 131, 185, 120, 174)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 122)(12, 130)(13, 131)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 140)(20, 141)(21, 133)(22, 134)(23, 142)(24, 143)(25, 123)(26, 124)(27, 125)(28, 126)(29, 127)(30, 132)(31, 152)(32, 153)(33, 145)(34, 146)(35, 154)(36, 155)(37, 135)(38, 136)(39, 137)(40, 138)(41, 139)(42, 144)(43, 160)(44, 162)(45, 157)(46, 158)(47, 161)(48, 159)(49, 147)(50, 148)(51, 149)(52, 150)(53, 151)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1297
Graph:: bipartite
	v = 12 e = 108 f = 60
	degree seq :: [ 12^9, 36^3 ]

E19.1297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^3 * Y3^-6, Y1^9, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 37, 91, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 42, 96, 47, 101, 36, 90, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 28, 82, 43, 97, 48, 102, 38, 92, 23, 77, 12, 66)(9, 63, 17, 71, 29, 83, 44, 98, 52, 106, 51, 105, 41, 95, 35, 89, 20, 74)(13, 67, 18, 72, 30, 84, 33, 87, 46, 100, 54, 108, 49, 103, 39, 93, 24, 78)(19, 73, 31, 85, 45, 99, 53, 107, 50, 104, 40, 94, 25, 79, 32, 86, 34, 88)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 150)(27, 152)(28, 122)(29, 153)(30, 124)(31, 154)(32, 126)(33, 136)(34, 138)(35, 140)(36, 149)(37, 155)(38, 130)(39, 131)(40, 132)(41, 133)(42, 160)(43, 134)(44, 161)(45, 162)(46, 151)(47, 159)(48, 145)(49, 146)(50, 147)(51, 148)(52, 158)(53, 157)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E19.1296
Graph:: simple bipartite
	v = 60 e = 108 f = 12
	degree seq :: [ 2^54, 18^6 ]

E19.1298 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {6, 9, 18})
Quotient :: edge
Aut^+ = C2 x (C9 : C3) (small group id <54, 11>)
Aut   = C2 x (C9 : C3) (small group id <54, 11>)
|r| :: 1
Presentation :: [ X2 * X1 * X2^2 * X1^-1, X1^6, X2^-1 * X1 * X2 * X1^-1 * X2^-3, X1^-1 * X2^2 * X1^2 * X2 * X1^-1 ]
Map:: non-degenerate
	R = (1, 2, 6, 18, 13, 4)(3, 9, 25, 43, 29, 11)(5, 15, 37, 44, 40, 16)(7, 21, 47, 33, 36, 22)(8, 23, 49, 34, 31, 24)(10, 27, 20, 46, 35, 14)(12, 17, 41, 19, 45, 32)(26, 48, 53, 51, 39, 42)(28, 38, 50, 54, 52, 30)(55, 57, 64, 82, 76, 78, 96, 71, 59)(56, 61, 69, 92, 95, 81, 80, 63, 62)(58, 66, 85, 84, 65, 70, 93, 90, 68)(60, 73, 77, 104, 79, 91, 102, 75, 74)(67, 87, 94, 106, 86, 89, 105, 83, 88)(72, 97, 100, 108, 101, 103, 107, 99, 98)
	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) :: { ( 36^6 ), ( 36^9 ) }
Outer automorphisms :: chiral
Dual of E19.1303
Transitivity :: ET+
Graph:: simple bipartite
	v = 15 e = 54 f = 3
	degree seq :: [ 6^9, 9^6 ]

E19.1299 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {6, 9, 18})
Quotient :: edge
Aut^+ = C2 x (C9 : C3) (small group id <54, 11>)
Aut   = C2 x (C9 : C3) (small group id <54, 11>)
|r| :: 1
Presentation :: [ X1 * X2^-1 * X1^2 * X2, X2^-2 * X1 * X2^2 * X1^2, X2^2 * X1^2 * X2^-2 * X1, X2 * X1^4 * X2^-1 * X1^-1, X2^-2 * X1^-1 * X2^-4 * X1 ]
Map:: non-degenerate
	R = (1, 2, 6, 18, 37, 39, 33, 13, 4)(3, 9, 24, 21, 7, 12, 31, 30, 11)(5, 15, 14, 35, 34, 19, 22, 8, 16)(10, 26, 32, 46, 25, 29, 45, 20, 28)(17, 41, 40, 48, 23, 36, 47, 38, 42)(27, 44, 53, 54, 50, 52, 43, 49, 51)(55, 57, 64, 81, 102, 89, 72, 75, 100, 108, 101, 76, 87, 85, 99, 97, 71, 59)(56, 61, 74, 98, 92, 69, 91, 84, 80, 104, 95, 88, 67, 63, 79, 103, 77, 62)(58, 66, 86, 105, 96, 73, 60, 65, 83, 107, 94, 70, 93, 78, 82, 106, 90, 68)
	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) :: { ( 12^9 ), ( 12^18 ) }
Outer automorphisms :: chiral
Dual of E19.1301
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 54 f = 9
	degree seq :: [ 9^6, 18^3 ]

E19.1300 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {6, 9, 18})
Quotient :: edge
Aut^+ = C2 x (C9 : C3) (small group id <54, 11>)
Aut   = C2 x (C9 : C3) (small group id <54, 11>)
|r| :: 1
Presentation :: [ X1^-1 * X2^-1 * X1^-1 * X2^-2 * X1^-1, X1^-1 * X2 * X1^-2 * X2^2, X2^6, X1^-2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1, X1^-1 * X2 * X1 * X2^2 * X1^-3 ]
Map:: non-degenerate
	R = (1, 2, 6, 18, 41, 33, 52, 39, 53, 31, 50, 40, 54, 29, 49, 37, 13, 4)(3, 9, 27, 42, 36, 47, 23, 7, 21, 17, 35, 12, 34, 45, 19, 44, 26, 11)(5, 15, 32, 43, 22, 14, 38, 46, 20, 10, 30, 48, 25, 8, 24, 51, 28, 16)(55, 57, 64, 85, 71, 59)(56, 61, 76, 104, 80, 62)(58, 66, 78, 107, 81, 68)(60, 73, 70, 94, 101, 74)(63, 82, 95, 89, 100, 83)(65, 86, 103, 75, 102, 87)(67, 90, 69, 93, 99, 84)(72, 96, 79, 108, 88, 97)(77, 105, 91, 98, 92, 106)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^6 ), ( 18^18 ) }
Outer automorphisms :: chiral
Dual of E19.1302
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 54 f = 6
	degree seq :: [ 6^9, 18^3 ]

E19.1301 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {6, 9, 18})
Quotient :: loop
Aut^+ = C2 x (C9 : C3) (small group id <54, 11>)
Aut   = C2 x (C9 : C3) (small group id <54, 11>)
|r| :: 1
Presentation :: [ X2 * X1 * X2^2 * X1^-1, X1^6, X2^-1 * X1 * X2 * X1^-1 * X2^-3, X1^-1 * X2^2 * X1^2 * X2 * X1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 6, 60, 18, 72, 13, 67, 4, 58)(3, 57, 9, 63, 25, 79, 43, 97, 29, 83, 11, 65)(5, 59, 15, 69, 37, 91, 44, 98, 40, 94, 16, 70)(7, 61, 21, 75, 47, 101, 33, 87, 36, 90, 22, 76)(8, 62, 23, 77, 49, 103, 34, 88, 31, 85, 24, 78)(10, 64, 27, 81, 20, 74, 46, 100, 35, 89, 14, 68)(12, 66, 17, 71, 41, 95, 19, 73, 45, 99, 32, 86)(26, 80, 48, 102, 53, 107, 51, 105, 39, 93, 42, 96)(28, 82, 38, 92, 50, 104, 54, 108, 52, 106, 30, 84)
	L = (1, 57)(2, 61)(3, 64)(4, 66)(5, 55)(6, 73)(7, 69)(8, 56)(9, 62)(10, 82)(11, 70)(12, 85)(13, 87)(14, 58)(15, 92)(16, 93)(17, 59)(18, 97)(19, 77)(20, 60)(21, 74)(22, 78)(23, 104)(24, 96)(25, 91)(26, 63)(27, 80)(28, 76)(29, 88)(30, 65)(31, 84)(32, 89)(33, 94)(34, 67)(35, 105)(36, 68)(37, 102)(38, 95)(39, 90)(40, 106)(41, 81)(42, 71)(43, 100)(44, 72)(45, 98)(46, 108)(47, 103)(48, 75)(49, 107)(50, 79)(51, 83)(52, 86)(53, 99)(54, 101)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: chiral
Dual of E19.1299
Transitivity :: ET+ VT+
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.1302 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {6, 9, 18})
Quotient :: loop
Aut^+ = C2 x (C9 : C3) (small group id <54, 11>)
Aut   = C2 x (C9 : C3) (small group id <54, 11>)
|r| :: 1
Presentation :: [ X1 * X2^-1 * X1^2 * X2, X2^-2 * X1 * X2^2 * X1^2, X2^2 * X1^2 * X2^-2 * X1, X2 * X1^4 * X2^-1 * X1^-1, X2^-2 * X1^-1 * X2^-4 * X1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 6, 60, 18, 72, 37, 91, 39, 93, 33, 87, 13, 67, 4, 58)(3, 57, 9, 63, 24, 78, 21, 75, 7, 61, 12, 66, 31, 85, 30, 84, 11, 65)(5, 59, 15, 69, 14, 68, 35, 89, 34, 88, 19, 73, 22, 76, 8, 62, 16, 70)(10, 64, 26, 80, 32, 86, 46, 100, 25, 79, 29, 83, 45, 99, 20, 74, 28, 82)(17, 71, 41, 95, 40, 94, 48, 102, 23, 77, 36, 90, 47, 101, 38, 92, 42, 96)(27, 81, 44, 98, 53, 107, 54, 108, 50, 104, 52, 106, 43, 97, 49, 103, 51, 105)
	L = (1, 57)(2, 61)(3, 64)(4, 66)(5, 55)(6, 65)(7, 74)(8, 56)(9, 79)(10, 81)(11, 83)(12, 86)(13, 63)(14, 58)(15, 91)(16, 93)(17, 59)(18, 75)(19, 60)(20, 98)(21, 100)(22, 87)(23, 62)(24, 82)(25, 103)(26, 104)(27, 102)(28, 106)(29, 107)(30, 80)(31, 99)(32, 105)(33, 85)(34, 67)(35, 72)(36, 68)(37, 84)(38, 69)(39, 78)(40, 70)(41, 88)(42, 73)(43, 71)(44, 92)(45, 97)(46, 108)(47, 76)(48, 89)(49, 77)(50, 95)(51, 96)(52, 90)(53, 94)(54, 101)
	local type(s) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: chiral
Dual of E19.1300
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 6 e = 54 f = 12
	degree seq :: [ 18^6 ]

E19.1303 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {6, 9, 18})
Quotient :: loop
Aut^+ = C2 x (C9 : C3) (small group id <54, 11>)
Aut   = C2 x (C9 : C3) (small group id <54, 11>)
|r| :: 1
Presentation :: [ X1^-1 * X2^-1 * X1^-1 * X2^-2 * X1^-1, X1^-1 * X2 * X1^-2 * X2^2, X2^6, X1^-2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1, X1^-1 * X2 * X1 * X2^2 * X1^-3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 6, 60, 18, 72, 41, 95, 33, 87, 52, 106, 39, 93, 53, 107, 31, 85, 50, 104, 40, 94, 54, 108, 29, 83, 49, 103, 37, 91, 13, 67, 4, 58)(3, 57, 9, 63, 27, 81, 42, 96, 36, 90, 47, 101, 23, 77, 7, 61, 21, 75, 17, 71, 35, 89, 12, 66, 34, 88, 45, 99, 19, 73, 44, 98, 26, 80, 11, 65)(5, 59, 15, 69, 32, 86, 43, 97, 22, 76, 14, 68, 38, 92, 46, 100, 20, 74, 10, 64, 30, 84, 48, 102, 25, 79, 8, 62, 24, 78, 51, 105, 28, 82, 16, 70)
	L = (1, 57)(2, 61)(3, 64)(4, 66)(5, 55)(6, 73)(7, 76)(8, 56)(9, 82)(10, 85)(11, 86)(12, 78)(13, 90)(14, 58)(15, 93)(16, 94)(17, 59)(18, 96)(19, 70)(20, 60)(21, 102)(22, 104)(23, 105)(24, 107)(25, 108)(26, 62)(27, 68)(28, 95)(29, 63)(30, 67)(31, 71)(32, 103)(33, 65)(34, 97)(35, 100)(36, 69)(37, 98)(38, 106)(39, 99)(40, 101)(41, 89)(42, 79)(43, 72)(44, 92)(45, 84)(46, 83)(47, 74)(48, 87)(49, 75)(50, 80)(51, 91)(52, 77)(53, 81)(54, 88)
	local type(s) :: { ( 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9 ) }
Outer automorphisms :: chiral
Dual of E19.1298
Transitivity :: ET+ VT+
Graph::
	v = 3 e = 54 f = 15
	degree seq :: [ 36^3 ]

E19.1304 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 14, 28})
Quotient :: edge
Aut^+ = C28 x C2 (small group id <56, 8>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^14 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 54, 48, 40, 32, 24, 16, 8)(4, 10, 18, 26, 34, 42, 50, 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, 63, 69, 66)(61, 64, 70, 67)(65, 71, 77, 74)(68, 72, 78, 75)(73, 79, 85, 82)(76, 80, 86, 83)(81, 87, 93, 90)(84, 88, 94, 91)(89, 95, 101, 98)(92, 96, 102, 99)(97, 103, 108, 106)(100, 104, 109, 107)(105, 110, 112, 111)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 56^4 ), ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E19.1308
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 56 f = 2
	degree seq :: [ 4^14, 14^4 ]

E19.1305 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 14, 28})
Quotient :: edge
Aut^+ = C28 x C2 (small group id <56, 8>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^4 * T2^4, T1^-6 * T2^8, T1^14 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 41, 49, 54, 45, 40, 30, 16, 6, 15, 29, 23, 11, 21, 35, 43, 51, 56, 47, 38, 26, 25, 13, 5)(2, 7, 17, 31, 22, 36, 44, 52, 53, 48, 39, 28, 14, 27, 24, 12, 4, 10, 20, 34, 42, 50, 55, 46, 37, 32, 18, 8)(57, 58, 62, 70, 82, 93, 101, 109, 107, 98, 89, 78, 67, 60)(59, 63, 71, 83, 81, 88, 96, 104, 112, 106, 97, 92, 77, 66)(61, 64, 72, 84, 94, 102, 110, 108, 99, 90, 75, 87, 79, 68)(65, 73, 85, 80, 69, 74, 86, 95, 103, 111, 105, 100, 91, 76)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8^14 ), ( 8^28 ) }
Outer automorphisms :: reflexible
Dual of E19.1309
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 56 f = 14
	degree seq :: [ 14^4, 28^2 ]

E19.1306 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 14, 28})
Quotient :: edge
Aut^+ = C28 x C2 (small group id <56, 8>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ F^2, T2^-4, (F * T2)^2, (F * T1)^2, T2^4, (T1, T2^-1), T1^-14 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 5)(2, 7, 16, 8)(4, 10, 17, 12)(6, 14, 24, 15)(11, 18, 25, 20)(13, 22, 32, 23)(19, 26, 33, 28)(21, 30, 40, 31)(27, 34, 41, 36)(29, 38, 48, 39)(35, 42, 49, 44)(37, 46, 56, 47)(43, 50, 53, 52)(45, 54, 51, 55)(57, 58, 62, 69, 77, 85, 93, 101, 109, 105, 97, 89, 81, 73, 65, 72, 80, 88, 96, 104, 112, 107, 99, 91, 83, 75, 67, 60)(59, 63, 70, 78, 86, 94, 102, 110, 108, 100, 92, 84, 76, 68, 61, 64, 71, 79, 87, 95, 103, 111, 106, 98, 90, 82, 74, 66)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^4 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E19.1307
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 56 f = 4
	degree seq :: [ 4^14, 28^2 ]

E19.1307 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 14, 28})
Quotient :: loop
Aut^+ = C28 x C2 (small group id <56, 8>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^14 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 17, 73, 25, 81, 33, 89, 41, 97, 49, 105, 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, 10, 66, 18, 74, 26, 82, 34, 90, 42, 98, 50, 106, 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, 63)(4, 57)(5, 64)(6, 60)(7, 69)(8, 70)(9, 71)(10, 59)(11, 61)(12, 72)(13, 66)(14, 67)(15, 77)(16, 78)(17, 79)(18, 65)(19, 68)(20, 80)(21, 74)(22, 75)(23, 85)(24, 86)(25, 87)(26, 73)(27, 76)(28, 88)(29, 82)(30, 83)(31, 93)(32, 94)(33, 95)(34, 81)(35, 84)(36, 96)(37, 90)(38, 91)(39, 101)(40, 102)(41, 103)(42, 89)(43, 92)(44, 104)(45, 98)(46, 99)(47, 108)(48, 109)(49, 110)(50, 97)(51, 100)(52, 106)(53, 107)(54, 112)(55, 105)(56, 111)
	local type(s) :: { ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E19.1306
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 56 f = 16
	degree seq :: [ 28^4 ]

E19.1308 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 14, 28})
Quotient :: loop
Aut^+ = C28 x C2 (small group id <56, 8>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^4 * T2^4, T1^-6 * T2^8, T1^14 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 33, 89, 41, 97, 49, 105, 54, 110, 45, 101, 40, 96, 30, 86, 16, 72, 6, 62, 15, 71, 29, 85, 23, 79, 11, 67, 21, 77, 35, 91, 43, 99, 51, 107, 56, 112, 47, 103, 38, 94, 26, 82, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 31, 87, 22, 78, 36, 92, 44, 100, 52, 108, 53, 109, 48, 104, 39, 95, 28, 84, 14, 70, 27, 83, 24, 80, 12, 68, 4, 60, 10, 66, 20, 76, 34, 90, 42, 98, 50, 106, 55, 111, 46, 102, 37, 93, 32, 88, 18, 74, 8, 64)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 70)(7, 71)(8, 72)(9, 73)(10, 59)(11, 60)(12, 61)(13, 74)(14, 82)(15, 83)(16, 84)(17, 85)(18, 86)(19, 87)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 88)(26, 93)(27, 81)(28, 94)(29, 80)(30, 95)(31, 79)(32, 96)(33, 78)(34, 75)(35, 76)(36, 77)(37, 101)(38, 102)(39, 103)(40, 104)(41, 92)(42, 89)(43, 90)(44, 91)(45, 109)(46, 110)(47, 111)(48, 112)(49, 100)(50, 97)(51, 98)(52, 99)(53, 107)(54, 108)(55, 105)(56, 106)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.1304
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 56 f = 18
	degree seq :: [ 56^2 ]

E19.1309 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 14, 28})
Quotient :: loop
Aut^+ = C28 x C2 (small group id <56, 8>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ F^2, T2^-4, (F * T2)^2, (F * T1)^2, T2^4, (T1, T2^-1), T1^-14 * T2^2 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 5, 61)(2, 58, 7, 63, 16, 72, 8, 64)(4, 60, 10, 66, 17, 73, 12, 68)(6, 62, 14, 70, 24, 80, 15, 71)(11, 67, 18, 74, 25, 81, 20, 76)(13, 69, 22, 78, 32, 88, 23, 79)(19, 75, 26, 82, 33, 89, 28, 84)(21, 77, 30, 86, 40, 96, 31, 87)(27, 83, 34, 90, 41, 97, 36, 92)(29, 85, 38, 94, 48, 104, 39, 95)(35, 91, 42, 98, 49, 105, 44, 100)(37, 93, 46, 102, 56, 112, 47, 103)(43, 99, 50, 106, 53, 109, 52, 108)(45, 101, 54, 110, 51, 107, 55, 111)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 69)(7, 70)(8, 71)(9, 72)(10, 59)(11, 60)(12, 61)(13, 77)(14, 78)(15, 79)(16, 80)(17, 65)(18, 66)(19, 67)(20, 68)(21, 85)(22, 86)(23, 87)(24, 88)(25, 73)(26, 74)(27, 75)(28, 76)(29, 93)(30, 94)(31, 95)(32, 96)(33, 81)(34, 82)(35, 83)(36, 84)(37, 101)(38, 102)(39, 103)(40, 104)(41, 89)(42, 90)(43, 91)(44, 92)(45, 109)(46, 110)(47, 111)(48, 112)(49, 97)(50, 98)(51, 99)(52, 100)(53, 105)(54, 108)(55, 106)(56, 107)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E19.1305
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 14 e = 56 f = 6
	degree seq :: [ 8^14 ]

E19.1310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 14, 28})
Quotient :: dipole
Aut^+ = C28 x C2 (small group id <56, 8>)
Aut   = C2 x D56 (small group id <112, 29>)
|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), Y2^14, Y3^28 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 4, 60)(3, 59, 7, 63, 13, 69, 10, 66)(5, 61, 8, 64, 14, 70, 11, 67)(9, 65, 15, 71, 21, 77, 18, 74)(12, 68, 16, 72, 22, 78, 19, 75)(17, 73, 23, 79, 29, 85, 26, 82)(20, 76, 24, 80, 30, 86, 27, 83)(25, 81, 31, 87, 37, 93, 34, 90)(28, 84, 32, 88, 38, 94, 35, 91)(33, 89, 39, 95, 45, 101, 42, 98)(36, 92, 40, 96, 46, 102, 43, 99)(41, 97, 47, 103, 52, 108, 50, 106)(44, 100, 48, 104, 53, 109, 51, 107)(49, 105, 54, 110, 56, 112, 55, 111)(113, 169, 115, 171, 121, 177, 129, 185, 137, 193, 145, 201, 153, 209, 161, 217, 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, 122, 178, 130, 186, 138, 194, 146, 202, 154, 210, 162, 218, 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, 122)(4, 118)(5, 123)(6, 114)(7, 115)(8, 117)(9, 130)(10, 125)(11, 126)(12, 131)(13, 119)(14, 120)(15, 121)(16, 124)(17, 138)(18, 133)(19, 134)(20, 139)(21, 127)(22, 128)(23, 129)(24, 132)(25, 146)(26, 141)(27, 142)(28, 147)(29, 135)(30, 136)(31, 137)(32, 140)(33, 154)(34, 149)(35, 150)(36, 155)(37, 143)(38, 144)(39, 145)(40, 148)(41, 162)(42, 157)(43, 158)(44, 163)(45, 151)(46, 152)(47, 153)(48, 156)(49, 167)(50, 164)(51, 165)(52, 159)(53, 160)(54, 161)(55, 168)(56, 166)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56 ), ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E19.1313
Graph:: bipartite
	v = 18 e = 112 f = 58
	degree seq :: [ 8^14, 28^4 ]

E19.1311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 14, 28})
Quotient :: dipole
Aut^+ = C28 x C2 (small group id <56, 8>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^4 * Y1^4, (Y3^-1 * Y1^-1)^4, Y2^8 * Y1^-6, Y1^14 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 37, 93, 45, 101, 53, 109, 51, 107, 42, 98, 33, 89, 22, 78, 11, 67, 4, 60)(3, 59, 7, 63, 15, 71, 27, 83, 25, 81, 32, 88, 40, 96, 48, 104, 56, 112, 50, 106, 41, 97, 36, 92, 21, 77, 10, 66)(5, 61, 8, 64, 16, 72, 28, 84, 38, 94, 46, 102, 54, 110, 52, 108, 43, 99, 34, 90, 19, 75, 31, 87, 23, 79, 12, 68)(9, 65, 17, 73, 29, 85, 24, 80, 13, 69, 18, 74, 30, 86, 39, 95, 47, 103, 55, 111, 49, 105, 44, 100, 35, 91, 20, 76)(113, 169, 115, 171, 121, 177, 131, 187, 145, 201, 153, 209, 161, 217, 166, 222, 157, 213, 152, 208, 142, 198, 128, 184, 118, 174, 127, 183, 141, 197, 135, 191, 123, 179, 133, 189, 147, 203, 155, 211, 163, 219, 168, 224, 159, 215, 150, 206, 138, 194, 137, 193, 125, 181, 117, 173)(114, 170, 119, 175, 129, 185, 143, 199, 134, 190, 148, 204, 156, 212, 164, 220, 165, 221, 160, 216, 151, 207, 140, 196, 126, 182, 139, 195, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 146, 202, 154, 210, 162, 218, 167, 223, 158, 214, 149, 205, 144, 200, 130, 186, 120, 176)
	L = (1, 115)(2, 119)(3, 121)(4, 122)(5, 113)(6, 127)(7, 129)(8, 114)(9, 131)(10, 132)(11, 133)(12, 116)(13, 117)(14, 139)(15, 141)(16, 118)(17, 143)(18, 120)(19, 145)(20, 146)(21, 147)(22, 148)(23, 123)(24, 124)(25, 125)(26, 137)(27, 136)(28, 126)(29, 135)(30, 128)(31, 134)(32, 130)(33, 153)(34, 154)(35, 155)(36, 156)(37, 144)(38, 138)(39, 140)(40, 142)(41, 161)(42, 162)(43, 163)(44, 164)(45, 152)(46, 149)(47, 150)(48, 151)(49, 166)(50, 167)(51, 168)(52, 165)(53, 160)(54, 157)(55, 158)(56, 159)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E19.1312
Graph:: bipartite
	v = 6 e = 112 f = 70
	degree seq :: [ 28^4, 56^2 ]

E19.1312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 14, 28})
Quotient :: dipole
Aut^+ = C28 x C2 (small group id <56, 8>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^4, Y2^2 * Y3^14, (Y3^-1 * Y1^-1)^28 ]
Map::
	R = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)(113, 169, 114, 170, 118, 174, 116, 172)(115, 171, 119, 175, 125, 181, 122, 178)(117, 173, 120, 176, 126, 182, 123, 179)(121, 177, 127, 183, 133, 189, 130, 186)(124, 180, 128, 184, 134, 190, 131, 187)(129, 185, 135, 191, 141, 197, 138, 194)(132, 188, 136, 192, 142, 198, 139, 195)(137, 193, 143, 199, 149, 205, 146, 202)(140, 196, 144, 200, 150, 206, 147, 203)(145, 201, 151, 207, 157, 213, 154, 210)(148, 204, 152, 208, 158, 214, 155, 211)(153, 209, 159, 215, 165, 221, 162, 218)(156, 212, 160, 216, 166, 222, 163, 219)(161, 217, 167, 223, 164, 220, 168, 224)
	L = (1, 115)(2, 119)(3, 121)(4, 122)(5, 113)(6, 125)(7, 127)(8, 114)(9, 129)(10, 130)(11, 116)(12, 117)(13, 133)(14, 118)(15, 135)(16, 120)(17, 137)(18, 138)(19, 123)(20, 124)(21, 141)(22, 126)(23, 143)(24, 128)(25, 145)(26, 146)(27, 131)(28, 132)(29, 149)(30, 134)(31, 151)(32, 136)(33, 153)(34, 154)(35, 139)(36, 140)(37, 157)(38, 142)(39, 159)(40, 144)(41, 161)(42, 162)(43, 147)(44, 148)(45, 165)(46, 150)(47, 167)(48, 152)(49, 166)(50, 168)(51, 155)(52, 156)(53, 164)(54, 158)(55, 163)(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) :: { ( 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E19.1311
Graph:: simple bipartite
	v = 70 e = 112 f = 6
	degree seq :: [ 2^56, 8^14 ]

E19.1313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 14, 28})
Quotient :: dipole
Aut^+ = C28 x C2 (small group id <56, 8>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^-4, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y3^2 * Y1^-14 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 13, 69, 21, 77, 29, 85, 37, 93, 45, 101, 53, 109, 49, 105, 41, 97, 33, 89, 25, 81, 17, 73, 9, 65, 16, 72, 24, 80, 32, 88, 40, 96, 48, 104, 56, 112, 51, 107, 43, 99, 35, 91, 27, 83, 19, 75, 11, 67, 4, 60)(3, 59, 7, 63, 14, 70, 22, 78, 30, 86, 38, 94, 46, 102, 54, 110, 52, 108, 44, 100, 36, 92, 28, 84, 20, 76, 12, 68, 5, 61, 8, 64, 15, 71, 23, 79, 31, 87, 39, 95, 47, 103, 55, 111, 50, 106, 42, 98, 34, 90, 26, 82, 18, 74, 10, 66)(113, 169)(114, 170)(115, 171)(116, 172)(117, 173)(118, 174)(119, 175)(120, 176)(121, 177)(122, 178)(123, 179)(124, 180)(125, 181)(126, 182)(127, 183)(128, 184)(129, 185)(130, 186)(131, 187)(132, 188)(133, 189)(134, 190)(135, 191)(136, 192)(137, 193)(138, 194)(139, 195)(140, 196)(141, 197)(142, 198)(143, 199)(144, 200)(145, 201)(146, 202)(147, 203)(148, 204)(149, 205)(150, 206)(151, 207)(152, 208)(153, 209)(154, 210)(155, 211)(156, 212)(157, 213)(158, 214)(159, 215)(160, 216)(161, 217)(162, 218)(163, 219)(164, 220)(165, 221)(166, 222)(167, 223)(168, 224)
	L = (1, 115)(2, 119)(3, 121)(4, 122)(5, 113)(6, 126)(7, 128)(8, 114)(9, 117)(10, 129)(11, 130)(12, 116)(13, 134)(14, 136)(15, 118)(16, 120)(17, 124)(18, 137)(19, 138)(20, 123)(21, 142)(22, 144)(23, 125)(24, 127)(25, 132)(26, 145)(27, 146)(28, 131)(29, 150)(30, 152)(31, 133)(32, 135)(33, 140)(34, 153)(35, 154)(36, 139)(37, 158)(38, 160)(39, 141)(40, 143)(41, 148)(42, 161)(43, 162)(44, 147)(45, 166)(46, 168)(47, 149)(48, 151)(49, 156)(50, 165)(51, 167)(52, 155)(53, 164)(54, 163)(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) :: { ( 8, 28 ), ( 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28 ) }
Outer automorphisms :: reflexible
Dual of E19.1310
Graph:: simple bipartite
	v = 58 e = 112 f = 18
	degree seq :: [ 2^56, 56^2 ]

E19.1314 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 14, 28})
Quotient :: dipole
Aut^+ = C28 x C2 (small group id <56, 8>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^4, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y2^14 * Y1^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 4, 60)(3, 59, 7, 63, 13, 69, 10, 66)(5, 61, 8, 64, 14, 70, 11, 67)(9, 65, 15, 71, 21, 77, 18, 74)(12, 68, 16, 72, 22, 78, 19, 75)(17, 73, 23, 79, 29, 85, 26, 82)(20, 76, 24, 80, 30, 86, 27, 83)(25, 81, 31, 87, 37, 93, 34, 90)(28, 84, 32, 88, 38, 94, 35, 91)(33, 89, 39, 95, 45, 101, 42, 98)(36, 92, 40, 96, 46, 102, 43, 99)(41, 97, 47, 103, 53, 109, 50, 106)(44, 100, 48, 104, 54, 110, 51, 107)(49, 105, 55, 111, 52, 108, 56, 112)(113, 169, 115, 171, 121, 177, 129, 185, 137, 193, 145, 201, 153, 209, 161, 217, 166, 222, 158, 214, 150, 206, 142, 198, 134, 190, 126, 182, 118, 174, 125, 181, 133, 189, 141, 197, 149, 205, 157, 213, 165, 221, 164, 220, 156, 212, 148, 204, 140, 196, 132, 188, 124, 180, 117, 173)(114, 170, 119, 175, 127, 183, 135, 191, 143, 199, 151, 207, 159, 215, 167, 223, 163, 219, 155, 211, 147, 203, 139, 195, 131, 187, 123, 179, 116, 172, 122, 178, 130, 186, 138, 194, 146, 202, 154, 210, 162, 218, 168, 224, 160, 216, 152, 208, 144, 200, 136, 192, 128, 184, 120, 176)
	L = (1, 116)(2, 113)(3, 122)(4, 118)(5, 123)(6, 114)(7, 115)(8, 117)(9, 130)(10, 125)(11, 126)(12, 131)(13, 119)(14, 120)(15, 121)(16, 124)(17, 138)(18, 133)(19, 134)(20, 139)(21, 127)(22, 128)(23, 129)(24, 132)(25, 146)(26, 141)(27, 142)(28, 147)(29, 135)(30, 136)(31, 137)(32, 140)(33, 154)(34, 149)(35, 150)(36, 155)(37, 143)(38, 144)(39, 145)(40, 148)(41, 162)(42, 157)(43, 158)(44, 163)(45, 151)(46, 152)(47, 153)(48, 156)(49, 168)(50, 165)(51, 166)(52, 167)(53, 159)(54, 160)(55, 161)(56, 164)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 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 E19.1315
Graph:: bipartite
	v = 16 e = 112 f = 60
	degree seq :: [ 8^14, 56^2 ]

E19.1315 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 14, 28})
Quotient :: dipole
Aut^+ = C28 x C2 (small group id <56, 8>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-4 * Y1^-4, Y3^8 * Y1^-6, Y1^14, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 37, 93, 45, 101, 53, 109, 51, 107, 42, 98, 33, 89, 22, 78, 11, 67, 4, 60)(3, 59, 7, 63, 15, 71, 27, 83, 25, 81, 32, 88, 40, 96, 48, 104, 56, 112, 50, 106, 41, 97, 36, 92, 21, 77, 10, 66)(5, 61, 8, 64, 16, 72, 28, 84, 38, 94, 46, 102, 54, 110, 52, 108, 43, 99, 34, 90, 19, 75, 31, 87, 23, 79, 12, 68)(9, 65, 17, 73, 29, 85, 24, 80, 13, 69, 18, 74, 30, 86, 39, 95, 47, 103, 55, 111, 49, 105, 44, 100, 35, 91, 20, 76)(113, 169)(114, 170)(115, 171)(116, 172)(117, 173)(118, 174)(119, 175)(120, 176)(121, 177)(122, 178)(123, 179)(124, 180)(125, 181)(126, 182)(127, 183)(128, 184)(129, 185)(130, 186)(131, 187)(132, 188)(133, 189)(134, 190)(135, 191)(136, 192)(137, 193)(138, 194)(139, 195)(140, 196)(141, 197)(142, 198)(143, 199)(144, 200)(145, 201)(146, 202)(147, 203)(148, 204)(149, 205)(150, 206)(151, 207)(152, 208)(153, 209)(154, 210)(155, 211)(156, 212)(157, 213)(158, 214)(159, 215)(160, 216)(161, 217)(162, 218)(163, 219)(164, 220)(165, 221)(166, 222)(167, 223)(168, 224)
	L = (1, 115)(2, 119)(3, 121)(4, 122)(5, 113)(6, 127)(7, 129)(8, 114)(9, 131)(10, 132)(11, 133)(12, 116)(13, 117)(14, 139)(15, 141)(16, 118)(17, 143)(18, 120)(19, 145)(20, 146)(21, 147)(22, 148)(23, 123)(24, 124)(25, 125)(26, 137)(27, 136)(28, 126)(29, 135)(30, 128)(31, 134)(32, 130)(33, 153)(34, 154)(35, 155)(36, 156)(37, 144)(38, 138)(39, 140)(40, 142)(41, 161)(42, 162)(43, 163)(44, 164)(45, 152)(46, 149)(47, 150)(48, 151)(49, 166)(50, 167)(51, 168)(52, 165)(53, 160)(54, 157)(55, 158)(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) :: { ( 8, 56 ), ( 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible
Dual of E19.1314
Graph:: simple bipartite
	v = 60 e = 112 f = 16
	degree seq :: [ 2^56, 28^4 ]

E19.1316 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 57, 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), T1^-1 * T2^19, (T1^-1 * T2^-1)^57 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 55, 49, 43, 37, 31, 25, 19, 13, 7, 2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 57, 52, 46, 40, 34, 28, 22, 16, 10, 4, 9, 15, 21, 27, 33, 39, 45, 51, 56, 53, 47, 41, 35, 29, 23, 17, 11, 5)(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 ), ( 114^57 ) }
Outer automorphisms :: reflexible
Dual of E19.1317
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 57 f = 1
	degree seq :: [ 3^19, 57 ]

E19.1317 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 57, 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), T1^-1 * T2^19, (T1^-1 * T2^-1)^57 ]
Map:: non-degenerate
	R = (1, 58, 3, 60, 8, 65, 14, 71, 20, 77, 26, 83, 32, 89, 38, 95, 44, 101, 50, 107, 55, 112, 49, 106, 43, 100, 37, 94, 31, 88, 25, 82, 19, 76, 13, 70, 7, 64, 2, 59, 6, 63, 12, 69, 18, 75, 24, 81, 30, 87, 36, 93, 42, 99, 48, 105, 54, 111, 57, 114, 52, 109, 46, 103, 40, 97, 34, 91, 28, 85, 22, 79, 16, 73, 10, 67, 4, 61, 9, 66, 15, 72, 21, 78, 27, 84, 33, 90, 39, 96, 45, 102, 51, 108, 56, 113, 53, 110, 47, 104, 41, 98, 35, 92, 29, 86, 23, 80, 17, 74, 11, 68, 5, 62)
	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, 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, 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 E19.1316
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 57 f = 20
	degree seq :: [ 114 ]

E19.1318 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y2^19 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
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, 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, 171, 228, 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, 170, 227, 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, 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, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 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 E19.1319
Graph:: bipartite
	v = 20 e = 114 f = 58
	degree seq :: [ 6^19, 114 ]

E19.1319 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 57, 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 * 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 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * 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, 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, 57, 114, 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, 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, 168)(53, 160)(54, 171)(55, 170)(56, 162)(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) :: { ( 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, 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, 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 E19.1318
Graph:: bipartite
	v = 58 e = 114 f = 20
	degree seq :: [ 2^57, 114 ]

E19.1320 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 5, 5})
Quotient :: halfedge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y1^-1 * Y2 * Y1, (R * Y1)^2, R * Y3 * R * Y2, Y1^5, (Y3 * Y1)^3, (Y3 * Y1^2 * Y2)^2, Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y3, (Y3 * Y2)^5 ]
Map::
	R = (1, 62, 2, 66, 6, 75, 15, 65, 5, 61)(3, 68, 8, 80, 20, 85, 25, 70, 10, 63)(4, 71, 11, 86, 26, 81, 21, 73, 13, 64)(7, 77, 17, 69, 9, 82, 22, 79, 19, 67)(12, 88, 28, 74, 14, 91, 31, 90, 30, 72)(16, 93, 33, 78, 18, 94, 34, 92, 32, 76)(23, 100, 40, 84, 24, 103, 43, 102, 42, 83)(27, 106, 46, 89, 29, 109, 49, 108, 48, 87)(35, 99, 39, 96, 36, 101, 41, 115, 55, 95)(37, 105, 45, 98, 38, 107, 47, 104, 44, 97)(50, 112, 52, 111, 51, 113, 53, 114, 54, 110)(56, 118, 58, 117, 57, 119, 59, 120, 60, 116)
	L = (1, 3)(2, 7)(4, 12)(5, 13)(6, 16)(8, 21)(9, 23)(10, 17)(11, 27)(14, 32)(15, 28)(18, 35)(19, 33)(20, 37)(22, 39)(24, 44)(25, 40)(26, 45)(29, 50)(30, 46)(31, 52)(34, 51)(36, 42)(38, 48)(41, 56)(43, 58)(47, 57)(49, 59)(53, 55)(54, 60)(61, 64)(62, 68)(63, 69)(65, 74)(66, 77)(67, 78)(70, 84)(71, 88)(72, 89)(73, 80)(75, 93)(76, 91)(79, 96)(81, 98)(82, 100)(83, 101)(85, 105)(86, 106)(87, 107)(90, 111)(92, 113)(94, 99)(95, 114)(97, 103)(102, 117)(104, 119)(108, 120)(109, 112)(110, 116)(115, 118)
	local type(s) :: { ( 10^10 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 12 e = 60 f = 12
	degree seq :: [ 10^12 ]

E19.1321 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 5, 5})
Quotient :: halfedge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y3, R * Y2 * R * Y3, (R * Y1)^2, Y1^5, (Y1^-1 * Y2 * Y1^-1)^3, (Y2 * Y1^2 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map::
	R = (1, 62, 2, 65, 5, 70, 10, 64, 4, 61)(3, 67, 7, 74, 14, 77, 17, 68, 8, 63)(6, 72, 12, 83, 23, 86, 26, 73, 13, 66)(9, 78, 18, 93, 33, 96, 36, 79, 19, 69)(11, 81, 21, 92, 32, 101, 41, 82, 22, 71)(15, 88, 28, 107, 47, 100, 40, 89, 29, 75)(16, 90, 30, 110, 50, 112, 52, 91, 31, 76)(20, 97, 37, 106, 46, 87, 27, 98, 38, 80)(24, 102, 42, 117, 57, 115, 55, 103, 43, 84)(25, 104, 44, 94, 34, 113, 53, 105, 45, 85)(35, 114, 54, 99, 39, 116, 56, 108, 48, 95)(49, 119, 59, 111, 51, 120, 60, 118, 58, 109)
	L = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 32)(18, 34)(19, 35)(21, 39)(22, 40)(23, 36)(26, 46)(28, 48)(29, 49)(30, 51)(31, 42)(33, 41)(37, 50)(38, 55)(43, 58)(44, 59)(45, 56)(47, 52)(53, 57)(54, 60)(61, 63)(62, 66)(64, 69)(65, 71)(67, 75)(68, 76)(70, 80)(72, 84)(73, 85)(74, 87)(77, 92)(78, 94)(79, 95)(81, 99)(82, 100)(83, 96)(86, 106)(88, 108)(89, 109)(90, 111)(91, 102)(93, 101)(97, 110)(98, 115)(103, 118)(104, 119)(105, 116)(107, 112)(113, 117)(114, 120)
	local type(s) :: { ( 10^10 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 12 e = 60 f = 12
	degree seq :: [ 10^12 ]

E19.1322 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 5, 5})
Quotient :: edge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y3^-1 * Y2 * Y3, R * Y2 * R * Y1, (R * Y3)^2, Y3^5, (Y2 * Y3^-1)^3, (Y2 * Y3^-2 * Y1)^2, Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3^-1, (Y2 * Y1)^5 ]
Map::
	R = (1, 61, 4, 64, 13, 73, 15, 75, 5, 65)(2, 62, 7, 67, 20, 80, 22, 82, 8, 68)(3, 63, 10, 70, 21, 81, 27, 87, 11, 71)(6, 66, 17, 77, 14, 74, 32, 92, 18, 78)(9, 69, 24, 84, 29, 89, 12, 72, 25, 85)(16, 76, 35, 95, 39, 99, 19, 79, 36, 96)(23, 83, 44, 104, 26, 86, 48, 108, 45, 105)(28, 88, 50, 110, 31, 91, 30, 90, 33, 93)(34, 94, 53, 113, 37, 97, 52, 112, 55, 115)(38, 98, 47, 107, 41, 101, 40, 100, 42, 102)(43, 103, 59, 119, 49, 109, 46, 106, 51, 111)(54, 114, 60, 120, 57, 117, 56, 116, 58, 118)(121, 122)(123, 129)(124, 130)(125, 134)(126, 136)(127, 137)(128, 141)(131, 146)(132, 148)(133, 145)(135, 153)(138, 157)(139, 158)(140, 156)(142, 162)(143, 163)(144, 164)(147, 160)(149, 171)(150, 152)(151, 172)(154, 174)(155, 173)(159, 178)(161, 168)(165, 177)(166, 170)(167, 176)(169, 175)(179, 180)(181, 183)(182, 186)(184, 192)(185, 188)(187, 199)(189, 203)(190, 202)(191, 205)(193, 210)(194, 211)(195, 197)(196, 214)(198, 216)(200, 220)(201, 221)(204, 226)(206, 227)(207, 224)(208, 229)(209, 213)(212, 233)(215, 236)(217, 230)(218, 237)(219, 222)(223, 234)(225, 231)(228, 240)(232, 239)(235, 238)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 20, 20 ), ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E19.1326
Graph:: simple bipartite
	v = 72 e = 120 f = 12
	degree seq :: [ 2^60, 10^12 ]

E19.1323 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 5, 5})
Quotient :: edge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^5, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, (Y3 * Y1 * Y3)^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, Y3^2 * Y1 * Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1 * Y1, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 61, 3, 63, 8, 68, 10, 70, 4, 64)(2, 62, 5, 65, 12, 72, 14, 74, 6, 66)(7, 67, 15, 75, 28, 88, 30, 90, 16, 76)(9, 69, 18, 78, 34, 94, 36, 96, 19, 79)(11, 71, 21, 81, 40, 100, 42, 102, 22, 82)(13, 73, 24, 84, 45, 105, 47, 107, 25, 85)(17, 77, 31, 91, 26, 86, 48, 108, 32, 92)(20, 80, 37, 97, 43, 103, 23, 83, 38, 98)(27, 87, 46, 106, 60, 120, 55, 115, 49, 109)(29, 89, 50, 110, 33, 93, 53, 113, 51, 111)(35, 95, 54, 114, 52, 112, 56, 116, 39, 99)(41, 101, 57, 117, 44, 104, 59, 119, 58, 118)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 137)(130, 140)(132, 143)(134, 146)(135, 147)(136, 149)(138, 153)(139, 155)(141, 159)(142, 161)(144, 164)(145, 166)(148, 156)(150, 163)(151, 172)(152, 162)(154, 168)(157, 165)(158, 175)(160, 167)(169, 178)(170, 177)(171, 176)(173, 180)(174, 179)(181, 182)(183, 187)(184, 189)(185, 191)(186, 193)(188, 197)(190, 200)(192, 203)(194, 206)(195, 207)(196, 209)(198, 213)(199, 215)(201, 219)(202, 221)(204, 224)(205, 226)(208, 216)(210, 223)(211, 232)(212, 222)(214, 228)(217, 225)(218, 235)(220, 227)(229, 238)(230, 237)(231, 236)(233, 240)(234, 239)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 20, 20 ), ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E19.1327
Graph:: simple bipartite
	v = 72 e = 120 f = 12
	degree seq :: [ 2^60, 10^12 ]

E19.1324 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 5, 5})
Quotient :: edge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y1^3 * Y2^-2, Y2^5, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 4, 64)(2, 62, 6, 66)(3, 63, 8, 68)(5, 65, 11, 71)(7, 67, 14, 74)(9, 69, 16, 76)(10, 70, 12, 72)(13, 73, 19, 79)(15, 75, 24, 84)(17, 77, 27, 87)(18, 78, 28, 88)(20, 80, 23, 83)(21, 81, 31, 91)(22, 82, 32, 92)(25, 85, 35, 95)(26, 86, 36, 96)(29, 89, 39, 99)(30, 90, 40, 100)(33, 93, 43, 103)(34, 94, 44, 104)(37, 97, 38, 98)(41, 101, 42, 102)(45, 105, 46, 106)(47, 107, 55, 115)(48, 108, 56, 116)(49, 109, 50, 110)(51, 111, 58, 118)(52, 112, 53, 113)(54, 114, 59, 119)(57, 117, 60, 120)(121, 122, 125, 127, 123)(124, 129, 137, 138, 130)(126, 132, 141, 142, 133)(128, 135, 145, 146, 136)(131, 139, 149, 150, 140)(134, 143, 153, 154, 144)(147, 156, 166, 167, 157)(148, 158, 168, 161, 151)(152, 162, 171, 169, 159)(155, 164, 173, 174, 165)(160, 170, 177, 172, 163)(175, 179, 180, 178, 176)(181, 183, 187, 185, 182)(184, 190, 198, 197, 189)(186, 193, 202, 201, 192)(188, 196, 206, 205, 195)(191, 200, 210, 209, 199)(194, 204, 214, 213, 203)(207, 217, 227, 226, 216)(208, 211, 221, 228, 218)(212, 219, 229, 231, 222)(215, 225, 234, 233, 224)(220, 223, 232, 237, 230)(235, 236, 238, 240, 239)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8^4 ), ( 8^5 ) }
Outer automorphisms :: reflexible
Dual of E19.1328
Graph:: simple bipartite
	v = 54 e = 120 f = 30
	degree seq :: [ 4^30, 5^24 ]

E19.1325 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 5, 5})
Quotient :: edge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^5, Y1^5, Y2 * Y1^-1 * Y2 * Y1^-2, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2^2 * Y3 * Y2^2 * Y3 * Y1^-2 * Y3, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y2^2 * Y3 * Y2^-1 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 4, 64)(2, 62, 6, 66)(3, 63, 8, 68)(5, 65, 11, 71)(7, 67, 14, 74)(9, 69, 18, 78)(10, 70, 20, 80)(12, 72, 24, 84)(13, 73, 26, 86)(15, 75, 30, 90)(16, 76, 32, 92)(17, 77, 33, 93)(19, 79, 36, 96)(21, 81, 39, 99)(22, 82, 41, 101)(23, 83, 31, 91)(25, 85, 44, 104)(27, 87, 47, 107)(28, 88, 48, 108)(29, 89, 40, 100)(34, 94, 51, 111)(35, 95, 53, 113)(37, 97, 54, 114)(38, 98, 42, 102)(43, 103, 58, 118)(45, 105, 59, 119)(46, 106, 56, 116)(49, 109, 57, 117)(50, 110, 60, 120)(52, 112, 55, 115)(121, 122, 125, 127, 123)(124, 129, 137, 139, 130)(126, 132, 143, 145, 133)(128, 135, 149, 151, 136)(131, 141, 156, 160, 142)(134, 147, 164, 153, 148)(138, 154, 172, 161, 155)(140, 157, 167, 175, 158)(144, 162, 177, 168, 163)(146, 165, 150, 169, 166)(152, 170, 159, 176, 171)(173, 179, 174, 180, 178)(181, 183, 187, 185, 182)(184, 190, 199, 197, 189)(186, 193, 205, 203, 192)(188, 196, 211, 209, 195)(191, 202, 220, 216, 201)(194, 208, 213, 224, 207)(198, 215, 221, 232, 214)(200, 218, 235, 227, 217)(204, 223, 228, 237, 222)(206, 226, 229, 210, 225)(212, 231, 236, 219, 230)(233, 238, 240, 234, 239)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8^4 ), ( 8^5 ) }
Outer automorphisms :: reflexible
Dual of E19.1329
Graph:: simple bipartite
	v = 54 e = 120 f = 30
	degree seq :: [ 4^30, 5^24 ]

E19.1326 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 5, 5})
Quotient :: loop^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y3^-1 * Y2 * Y3, R * Y2 * R * Y1, (R * Y3)^2, Y3^5, (Y2 * Y3^-1)^3, (Y2 * Y3^-2 * Y1)^2, Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3^-1, (Y2 * Y1)^5 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 13, 73, 133, 193, 15, 75, 135, 195, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 20, 80, 140, 200, 22, 82, 142, 202, 8, 68, 128, 188)(3, 63, 123, 183, 10, 70, 130, 190, 21, 81, 141, 201, 27, 87, 147, 207, 11, 71, 131, 191)(6, 66, 126, 186, 17, 77, 137, 197, 14, 74, 134, 194, 32, 92, 152, 212, 18, 78, 138, 198)(9, 69, 129, 189, 24, 84, 144, 204, 29, 89, 149, 209, 12, 72, 132, 192, 25, 85, 145, 205)(16, 76, 136, 196, 35, 95, 155, 215, 39, 99, 159, 219, 19, 79, 139, 199, 36, 96, 156, 216)(23, 83, 143, 203, 44, 104, 164, 224, 26, 86, 146, 206, 48, 108, 168, 228, 45, 105, 165, 225)(28, 88, 148, 208, 50, 110, 170, 230, 31, 91, 151, 211, 30, 90, 150, 210, 33, 93, 153, 213)(34, 94, 154, 214, 53, 113, 173, 233, 37, 97, 157, 217, 52, 112, 172, 232, 55, 115, 175, 235)(38, 98, 158, 218, 47, 107, 167, 227, 41, 101, 161, 221, 40, 100, 160, 220, 42, 102, 162, 222)(43, 103, 163, 223, 59, 119, 179, 239, 49, 109, 169, 229, 46, 106, 166, 226, 51, 111, 171, 231)(54, 114, 174, 234, 60, 120, 180, 240, 57, 117, 177, 237, 56, 116, 176, 236, 58, 118, 178, 238)
	L = (1, 62)(2, 61)(3, 69)(4, 70)(5, 74)(6, 76)(7, 77)(8, 81)(9, 63)(10, 64)(11, 86)(12, 88)(13, 85)(14, 65)(15, 93)(16, 66)(17, 67)(18, 97)(19, 98)(20, 96)(21, 68)(22, 102)(23, 103)(24, 104)(25, 73)(26, 71)(27, 100)(28, 72)(29, 111)(30, 92)(31, 112)(32, 90)(33, 75)(34, 114)(35, 113)(36, 80)(37, 78)(38, 79)(39, 118)(40, 87)(41, 108)(42, 82)(43, 83)(44, 84)(45, 117)(46, 110)(47, 116)(48, 101)(49, 115)(50, 106)(51, 89)(52, 91)(53, 95)(54, 94)(55, 109)(56, 107)(57, 105)(58, 99)(59, 120)(60, 119)(121, 183)(122, 186)(123, 181)(124, 192)(125, 188)(126, 182)(127, 199)(128, 185)(129, 203)(130, 202)(131, 205)(132, 184)(133, 210)(134, 211)(135, 197)(136, 214)(137, 195)(138, 216)(139, 187)(140, 220)(141, 221)(142, 190)(143, 189)(144, 226)(145, 191)(146, 227)(147, 224)(148, 229)(149, 213)(150, 193)(151, 194)(152, 233)(153, 209)(154, 196)(155, 236)(156, 198)(157, 230)(158, 237)(159, 222)(160, 200)(161, 201)(162, 219)(163, 234)(164, 207)(165, 231)(166, 204)(167, 206)(168, 240)(169, 208)(170, 217)(171, 225)(172, 239)(173, 212)(174, 223)(175, 238)(176, 215)(177, 218)(178, 235)(179, 232)(180, 228)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.1322
Transitivity :: VT+
Graph::
	v = 12 e = 120 f = 72
	degree seq :: [ 20^12 ]

E19.1327 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 5, 5})
Quotient :: loop^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^5, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, (Y3 * Y1 * Y3)^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, Y3^2 * Y1 * Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1 * Y1, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 61, 121, 181, 3, 63, 123, 183, 8, 68, 128, 188, 10, 70, 130, 190, 4, 64, 124, 184)(2, 62, 122, 182, 5, 65, 125, 185, 12, 72, 132, 192, 14, 74, 134, 194, 6, 66, 126, 186)(7, 67, 127, 187, 15, 75, 135, 195, 28, 88, 148, 208, 30, 90, 150, 210, 16, 76, 136, 196)(9, 69, 129, 189, 18, 78, 138, 198, 34, 94, 154, 214, 36, 96, 156, 216, 19, 79, 139, 199)(11, 71, 131, 191, 21, 81, 141, 201, 40, 100, 160, 220, 42, 102, 162, 222, 22, 82, 142, 202)(13, 73, 133, 193, 24, 84, 144, 204, 45, 105, 165, 225, 47, 107, 167, 227, 25, 85, 145, 205)(17, 77, 137, 197, 31, 91, 151, 211, 26, 86, 146, 206, 48, 108, 168, 228, 32, 92, 152, 212)(20, 80, 140, 200, 37, 97, 157, 217, 43, 103, 163, 223, 23, 83, 143, 203, 38, 98, 158, 218)(27, 87, 147, 207, 46, 106, 166, 226, 60, 120, 180, 240, 55, 115, 175, 235, 49, 109, 169, 229)(29, 89, 149, 209, 50, 110, 170, 230, 33, 93, 153, 213, 53, 113, 173, 233, 51, 111, 171, 231)(35, 95, 155, 215, 54, 114, 174, 234, 52, 112, 172, 232, 56, 116, 176, 236, 39, 99, 159, 219)(41, 101, 161, 221, 57, 117, 177, 237, 44, 104, 164, 224, 59, 119, 179, 239, 58, 118, 178, 238)
	L = (1, 62)(2, 61)(3, 67)(4, 69)(5, 71)(6, 73)(7, 63)(8, 77)(9, 64)(10, 80)(11, 65)(12, 83)(13, 66)(14, 86)(15, 87)(16, 89)(17, 68)(18, 93)(19, 95)(20, 70)(21, 99)(22, 101)(23, 72)(24, 104)(25, 106)(26, 74)(27, 75)(28, 96)(29, 76)(30, 103)(31, 112)(32, 102)(33, 78)(34, 108)(35, 79)(36, 88)(37, 105)(38, 115)(39, 81)(40, 107)(41, 82)(42, 92)(43, 90)(44, 84)(45, 97)(46, 85)(47, 100)(48, 94)(49, 118)(50, 117)(51, 116)(52, 91)(53, 120)(54, 119)(55, 98)(56, 111)(57, 110)(58, 109)(59, 114)(60, 113)(121, 182)(122, 181)(123, 187)(124, 189)(125, 191)(126, 193)(127, 183)(128, 197)(129, 184)(130, 200)(131, 185)(132, 203)(133, 186)(134, 206)(135, 207)(136, 209)(137, 188)(138, 213)(139, 215)(140, 190)(141, 219)(142, 221)(143, 192)(144, 224)(145, 226)(146, 194)(147, 195)(148, 216)(149, 196)(150, 223)(151, 232)(152, 222)(153, 198)(154, 228)(155, 199)(156, 208)(157, 225)(158, 235)(159, 201)(160, 227)(161, 202)(162, 212)(163, 210)(164, 204)(165, 217)(166, 205)(167, 220)(168, 214)(169, 238)(170, 237)(171, 236)(172, 211)(173, 240)(174, 239)(175, 218)(176, 231)(177, 230)(178, 229)(179, 234)(180, 233)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.1323
Transitivity :: VT+
Graph::
	v = 12 e = 120 f = 72
	degree seq :: [ 20^12 ]

E19.1328 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 5, 5})
Quotient :: loop^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y1^3 * Y2^-2, Y2^5, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 121, 181, 4, 64, 124, 184)(2, 62, 122, 182, 6, 66, 126, 186)(3, 63, 123, 183, 8, 68, 128, 188)(5, 65, 125, 185, 11, 71, 131, 191)(7, 67, 127, 187, 14, 74, 134, 194)(9, 69, 129, 189, 16, 76, 136, 196)(10, 70, 130, 190, 12, 72, 132, 192)(13, 73, 133, 193, 19, 79, 139, 199)(15, 75, 135, 195, 24, 84, 144, 204)(17, 77, 137, 197, 27, 87, 147, 207)(18, 78, 138, 198, 28, 88, 148, 208)(20, 80, 140, 200, 23, 83, 143, 203)(21, 81, 141, 201, 31, 91, 151, 211)(22, 82, 142, 202, 32, 92, 152, 212)(25, 85, 145, 205, 35, 95, 155, 215)(26, 86, 146, 206, 36, 96, 156, 216)(29, 89, 149, 209, 39, 99, 159, 219)(30, 90, 150, 210, 40, 100, 160, 220)(33, 93, 153, 213, 43, 103, 163, 223)(34, 94, 154, 214, 44, 104, 164, 224)(37, 97, 157, 217, 38, 98, 158, 218)(41, 101, 161, 221, 42, 102, 162, 222)(45, 105, 165, 225, 46, 106, 166, 226)(47, 107, 167, 227, 55, 115, 175, 235)(48, 108, 168, 228, 56, 116, 176, 236)(49, 109, 169, 229, 50, 110, 170, 230)(51, 111, 171, 231, 58, 118, 178, 238)(52, 112, 172, 232, 53, 113, 173, 233)(54, 114, 174, 234, 59, 119, 179, 239)(57, 117, 177, 237, 60, 120, 180, 240)
	L = (1, 62)(2, 65)(3, 61)(4, 69)(5, 67)(6, 72)(7, 63)(8, 75)(9, 77)(10, 64)(11, 79)(12, 81)(13, 66)(14, 83)(15, 85)(16, 68)(17, 78)(18, 70)(19, 89)(20, 71)(21, 82)(22, 73)(23, 93)(24, 74)(25, 86)(26, 76)(27, 96)(28, 98)(29, 90)(30, 80)(31, 88)(32, 102)(33, 94)(34, 84)(35, 104)(36, 106)(37, 87)(38, 108)(39, 92)(40, 110)(41, 91)(42, 111)(43, 100)(44, 113)(45, 95)(46, 107)(47, 97)(48, 101)(49, 99)(50, 117)(51, 109)(52, 103)(53, 114)(54, 105)(55, 119)(56, 115)(57, 112)(58, 116)(59, 120)(60, 118)(121, 183)(122, 181)(123, 187)(124, 190)(125, 182)(126, 193)(127, 185)(128, 196)(129, 184)(130, 198)(131, 200)(132, 186)(133, 202)(134, 204)(135, 188)(136, 206)(137, 189)(138, 197)(139, 191)(140, 210)(141, 192)(142, 201)(143, 194)(144, 214)(145, 195)(146, 205)(147, 217)(148, 211)(149, 199)(150, 209)(151, 221)(152, 219)(153, 203)(154, 213)(155, 225)(156, 207)(157, 227)(158, 208)(159, 229)(160, 223)(161, 228)(162, 212)(163, 232)(164, 215)(165, 234)(166, 216)(167, 226)(168, 218)(169, 231)(170, 220)(171, 222)(172, 237)(173, 224)(174, 233)(175, 236)(176, 238)(177, 230)(178, 240)(179, 235)(180, 239)
	local type(s) :: { ( 4, 5, 4, 5, 4, 5, 4, 5 ) }
Outer automorphisms :: reflexible
Dual of E19.1324
Transitivity :: VT+
Graph::
	v = 30 e = 120 f = 54
	degree seq :: [ 8^30 ]

E19.1329 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 5, 5})
Quotient :: loop^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^5, Y1^5, Y2 * Y1^-1 * Y2 * Y1^-2, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2^2 * Y3 * Y2^2 * Y3 * Y1^-2 * Y3, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y2^2 * Y3 * Y2^-1 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 121, 181, 4, 64, 124, 184)(2, 62, 122, 182, 6, 66, 126, 186)(3, 63, 123, 183, 8, 68, 128, 188)(5, 65, 125, 185, 11, 71, 131, 191)(7, 67, 127, 187, 14, 74, 134, 194)(9, 69, 129, 189, 18, 78, 138, 198)(10, 70, 130, 190, 20, 80, 140, 200)(12, 72, 132, 192, 24, 84, 144, 204)(13, 73, 133, 193, 26, 86, 146, 206)(15, 75, 135, 195, 30, 90, 150, 210)(16, 76, 136, 196, 32, 92, 152, 212)(17, 77, 137, 197, 33, 93, 153, 213)(19, 79, 139, 199, 36, 96, 156, 216)(21, 81, 141, 201, 39, 99, 159, 219)(22, 82, 142, 202, 41, 101, 161, 221)(23, 83, 143, 203, 31, 91, 151, 211)(25, 85, 145, 205, 44, 104, 164, 224)(27, 87, 147, 207, 47, 107, 167, 227)(28, 88, 148, 208, 48, 108, 168, 228)(29, 89, 149, 209, 40, 100, 160, 220)(34, 94, 154, 214, 51, 111, 171, 231)(35, 95, 155, 215, 53, 113, 173, 233)(37, 97, 157, 217, 54, 114, 174, 234)(38, 98, 158, 218, 42, 102, 162, 222)(43, 103, 163, 223, 58, 118, 178, 238)(45, 105, 165, 225, 59, 119, 179, 239)(46, 106, 166, 226, 56, 116, 176, 236)(49, 109, 169, 229, 57, 117, 177, 237)(50, 110, 170, 230, 60, 120, 180, 240)(52, 112, 172, 232, 55, 115, 175, 235)
	L = (1, 62)(2, 65)(3, 61)(4, 69)(5, 67)(6, 72)(7, 63)(8, 75)(9, 77)(10, 64)(11, 81)(12, 83)(13, 66)(14, 87)(15, 89)(16, 68)(17, 79)(18, 94)(19, 70)(20, 97)(21, 96)(22, 71)(23, 85)(24, 102)(25, 73)(26, 105)(27, 104)(28, 74)(29, 91)(30, 109)(31, 76)(32, 110)(33, 88)(34, 112)(35, 78)(36, 100)(37, 107)(38, 80)(39, 116)(40, 82)(41, 95)(42, 117)(43, 84)(44, 93)(45, 90)(46, 86)(47, 115)(48, 103)(49, 106)(50, 99)(51, 92)(52, 101)(53, 119)(54, 120)(55, 98)(56, 111)(57, 108)(58, 113)(59, 114)(60, 118)(121, 183)(122, 181)(123, 187)(124, 190)(125, 182)(126, 193)(127, 185)(128, 196)(129, 184)(130, 199)(131, 202)(132, 186)(133, 205)(134, 208)(135, 188)(136, 211)(137, 189)(138, 215)(139, 197)(140, 218)(141, 191)(142, 220)(143, 192)(144, 223)(145, 203)(146, 226)(147, 194)(148, 213)(149, 195)(150, 225)(151, 209)(152, 231)(153, 224)(154, 198)(155, 221)(156, 201)(157, 200)(158, 235)(159, 230)(160, 216)(161, 232)(162, 204)(163, 228)(164, 207)(165, 206)(166, 229)(167, 217)(168, 237)(169, 210)(170, 212)(171, 236)(172, 214)(173, 238)(174, 239)(175, 227)(176, 219)(177, 222)(178, 240)(179, 233)(180, 234)
	local type(s) :: { ( 4, 5, 4, 5, 4, 5, 4, 5 ) }
Outer automorphisms :: reflexible
Dual of E19.1325
Transitivity :: VT+
Graph::
	v = 30 e = 120 f = 54
	degree seq :: [ 8^30 ]

E19.1330 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^5, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2)^3, (Y2^2 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^5, (Y2 * Y1)^5, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map::
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 9, 69)(5, 65, 11, 71)(6, 66, 13, 73)(8, 68, 17, 77)(10, 70, 20, 80)(12, 72, 23, 83)(14, 74, 26, 86)(15, 75, 27, 87)(16, 76, 29, 89)(18, 78, 33, 93)(19, 79, 35, 95)(21, 81, 39, 99)(22, 82, 41, 101)(24, 84, 44, 104)(25, 85, 46, 106)(28, 88, 36, 96)(30, 90, 43, 103)(31, 91, 52, 112)(32, 92, 42, 102)(34, 94, 48, 108)(37, 97, 45, 105)(38, 98, 55, 115)(40, 100, 47, 107)(49, 109, 58, 118)(50, 110, 57, 117)(51, 111, 56, 116)(53, 113, 60, 120)(54, 114, 59, 119)(121, 181, 123, 183, 128, 188, 130, 190, 124, 184)(122, 182, 125, 185, 132, 192, 134, 194, 126, 186)(127, 187, 135, 195, 148, 208, 150, 210, 136, 196)(129, 189, 138, 198, 154, 214, 156, 216, 139, 199)(131, 191, 141, 201, 160, 220, 162, 222, 142, 202)(133, 193, 144, 204, 165, 225, 167, 227, 145, 205)(137, 197, 151, 211, 146, 206, 168, 228, 152, 212)(140, 200, 157, 217, 163, 223, 143, 203, 158, 218)(147, 207, 166, 226, 180, 240, 175, 235, 169, 229)(149, 209, 170, 230, 153, 213, 173, 233, 171, 231)(155, 215, 174, 234, 172, 232, 176, 236, 159, 219)(161, 221, 177, 237, 164, 224, 179, 239, 178, 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) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 42 e = 120 f = 42
	degree seq :: [ 4^30, 10^12 ]

E19.1331 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^5, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1)^3, (Y3 * Y2^-1)^5, (Y2^2 * Y1 * Y2^-2 * Y1)^3 ]
Map::
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 9, 69)(5, 65, 11, 71)(6, 66, 13, 73)(8, 68, 16, 76)(10, 70, 18, 78)(12, 72, 20, 80)(14, 74, 22, 82)(15, 75, 23, 83)(17, 77, 26, 86)(19, 79, 29, 89)(21, 81, 31, 91)(24, 84, 34, 94)(25, 85, 28, 88)(27, 87, 37, 97)(30, 90, 32, 92)(33, 93, 43, 103)(35, 95, 45, 105)(36, 96, 46, 106)(38, 98, 48, 108)(39, 99, 47, 107)(40, 100, 49, 109)(41, 101, 44, 104)(42, 102, 50, 110)(51, 111, 53, 113)(52, 112, 58, 118)(54, 114, 56, 116)(55, 115, 57, 117)(59, 119, 60, 120)(121, 181, 123, 183, 128, 188, 130, 190, 124, 184)(122, 182, 125, 185, 132, 192, 134, 194, 126, 186)(127, 187, 133, 193, 141, 201, 144, 204, 135, 195)(129, 189, 137, 197, 147, 207, 139, 199, 131, 191)(136, 196, 143, 203, 153, 213, 155, 215, 145, 205)(138, 198, 148, 208, 158, 218, 156, 216, 146, 206)(140, 200, 149, 209, 159, 219, 160, 220, 150, 210)(142, 202, 152, 212, 162, 222, 161, 221, 151, 211)(154, 214, 164, 224, 172, 232, 171, 231, 163, 223)(157, 217, 166, 226, 174, 234, 175, 235, 167, 227)(165, 225, 173, 233, 179, 239, 176, 236, 168, 228)(169, 229, 177, 237, 180, 240, 178, 238, 170, 230)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 42 e = 120 f = 42
	degree seq :: [ 4^30, 10^12 ]

E19.1332 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y2^5, (R * Y2 * Y3)^2, Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y2^-1, (Y1 * Y2^-1)^3, Y1 * Y2^2 * Y3 * Y2^2 * Y1 * Y2^-2, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 7, 67)(5, 65, 14, 74)(6, 66, 17, 77)(8, 68, 22, 82)(10, 70, 26, 86)(11, 71, 21, 81)(12, 72, 23, 83)(13, 73, 19, 79)(15, 75, 20, 80)(16, 76, 33, 93)(18, 78, 36, 96)(24, 84, 43, 103)(25, 85, 45, 105)(27, 87, 40, 100)(28, 88, 46, 106)(29, 89, 44, 104)(30, 90, 37, 97)(31, 91, 51, 111)(32, 92, 53, 113)(34, 94, 39, 99)(35, 95, 57, 117)(38, 98, 58, 118)(41, 101, 59, 119)(42, 102, 60, 120)(47, 107, 54, 114)(48, 108, 55, 115)(49, 109, 56, 116)(50, 110, 52, 112)(121, 181, 123, 183, 130, 190, 136, 196, 125, 185)(122, 182, 126, 186, 138, 198, 144, 204, 128, 188)(124, 184, 132, 192, 149, 209, 150, 210, 133, 193)(127, 187, 140, 200, 159, 219, 160, 220, 141, 201)(129, 189, 142, 202, 161, 221, 167, 227, 145, 205)(131, 191, 148, 208, 170, 230, 162, 222, 143, 203)(134, 194, 151, 211, 172, 232, 155, 215, 137, 197)(135, 195, 139, 199, 158, 218, 174, 234, 152, 212)(146, 206, 165, 225, 178, 238, 157, 217, 168, 228)(147, 207, 169, 229, 156, 216, 177, 237, 166, 226)(153, 213, 175, 235, 164, 224, 180, 240, 171, 231)(154, 214, 173, 233, 179, 239, 163, 223, 176, 236)
	L = (1, 124)(2, 127)(3, 131)(4, 121)(5, 135)(6, 139)(7, 122)(8, 143)(9, 141)(10, 147)(11, 123)(12, 142)(13, 137)(14, 140)(15, 125)(16, 154)(17, 133)(18, 157)(19, 126)(20, 134)(21, 129)(22, 132)(23, 128)(24, 164)(25, 166)(26, 160)(27, 130)(28, 165)(29, 163)(30, 156)(31, 173)(32, 171)(33, 159)(34, 136)(35, 178)(36, 150)(37, 138)(38, 177)(39, 153)(40, 146)(41, 180)(42, 179)(43, 149)(44, 144)(45, 148)(46, 145)(47, 172)(48, 176)(49, 175)(50, 174)(51, 152)(52, 167)(53, 151)(54, 170)(55, 169)(56, 168)(57, 158)(58, 155)(59, 162)(60, 161)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 42 e = 120 f = 42
	degree seq :: [ 4^30, 10^12 ]

E19.1333 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y2^5, (R * Y2 * Y3)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2, (Y3 * Y2^2)^3, (Y3 * Y2^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 8, 68)(4, 64, 7, 67)(5, 65, 6, 66)(9, 69, 20, 80)(10, 70, 19, 79)(11, 71, 18, 78)(12, 72, 17, 77)(13, 73, 16, 76)(14, 74, 15, 75)(21, 81, 36, 96)(22, 82, 35, 95)(23, 83, 25, 85)(24, 84, 34, 94)(26, 86, 28, 88)(27, 87, 33, 93)(29, 89, 32, 92)(30, 90, 31, 91)(37, 97, 56, 116)(38, 98, 40, 100)(39, 99, 55, 115)(41, 101, 43, 103)(42, 102, 54, 114)(44, 104, 46, 106)(45, 105, 53, 113)(47, 107, 49, 109)(48, 108, 52, 112)(50, 110, 51, 111)(57, 117, 58, 118)(59, 119, 60, 120)(121, 181, 123, 183, 129, 189, 134, 194, 125, 185)(122, 182, 126, 186, 135, 195, 140, 200, 128, 188)(124, 184, 131, 191, 144, 204, 147, 207, 132, 192)(127, 187, 137, 197, 153, 213, 154, 214, 138, 198)(130, 190, 142, 202, 159, 219, 161, 221, 143, 203)(133, 193, 148, 208, 166, 226, 168, 228, 149, 209)(136, 196, 152, 212, 172, 232, 164, 224, 146, 206)(139, 199, 145, 205, 163, 223, 175, 235, 155, 215)(141, 201, 157, 217, 165, 225, 177, 237, 158, 218)(150, 210, 169, 229, 179, 239, 162, 222, 170, 230)(151, 211, 171, 231, 174, 234, 180, 240, 167, 227)(156, 216, 160, 220, 178, 238, 173, 233, 176, 236)
	L = (1, 124)(2, 127)(3, 130)(4, 121)(5, 133)(6, 136)(7, 122)(8, 139)(9, 141)(10, 123)(11, 145)(12, 146)(13, 125)(14, 150)(15, 151)(16, 126)(17, 148)(18, 143)(19, 128)(20, 156)(21, 129)(22, 160)(23, 138)(24, 162)(25, 131)(26, 132)(27, 165)(28, 137)(29, 167)(30, 134)(31, 135)(32, 169)(33, 173)(34, 174)(35, 158)(36, 140)(37, 171)(38, 155)(39, 168)(40, 142)(41, 179)(42, 144)(43, 180)(44, 178)(45, 147)(46, 177)(47, 149)(48, 159)(49, 152)(50, 176)(51, 157)(52, 175)(53, 153)(54, 154)(55, 172)(56, 170)(57, 166)(58, 164)(59, 161)(60, 163)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 42 e = 120 f = 42
	degree seq :: [ 4^30, 10^12 ]

E19.1334 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2 * Y3)^2, (R * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y2^-1, Y2^5, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1 * Y1)^2, Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y1, (Y3 * Y2^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 17, 77)(6, 66, 8, 68)(7, 67, 20, 80)(9, 69, 18, 78)(12, 72, 29, 89)(13, 73, 28, 88)(14, 74, 25, 85)(15, 75, 24, 84)(16, 76, 23, 83)(19, 79, 41, 101)(21, 81, 44, 104)(22, 82, 35, 95)(26, 86, 51, 111)(27, 87, 33, 93)(30, 90, 56, 116)(31, 91, 50, 110)(32, 92, 54, 114)(34, 94, 37, 97)(36, 96, 46, 106)(38, 98, 42, 102)(39, 99, 49, 109)(40, 100, 52, 112)(43, 103, 48, 108)(45, 105, 55, 115)(47, 107, 59, 119)(53, 113, 57, 117)(58, 118, 60, 120)(121, 181, 123, 183, 132, 192, 139, 199, 125, 185)(122, 182, 127, 187, 141, 201, 146, 206, 129, 189)(124, 184, 135, 195, 154, 214, 156, 216, 136, 196)(126, 186, 140, 200, 163, 223, 152, 212, 133, 193)(128, 188, 144, 204, 169, 229, 170, 230, 145, 205)(130, 190, 131, 191, 147, 207, 167, 227, 142, 202)(134, 194, 153, 213, 172, 232, 166, 226, 150, 210)(137, 197, 157, 217, 177, 237, 179, 239, 158, 218)(138, 198, 159, 219, 180, 240, 174, 234, 160, 220)(143, 203, 168, 228, 162, 222, 151, 211, 165, 225)(148, 208, 149, 209, 175, 235, 171, 231, 173, 233)(155, 215, 164, 224, 176, 236, 161, 221, 178, 238)
	L = (1, 124)(2, 128)(3, 133)(4, 126)(5, 138)(6, 121)(7, 142)(8, 130)(9, 137)(10, 122)(11, 145)(12, 150)(13, 134)(14, 123)(15, 125)(16, 155)(17, 144)(18, 135)(19, 162)(20, 136)(21, 165)(22, 143)(23, 127)(24, 129)(25, 148)(26, 172)(27, 173)(28, 131)(29, 170)(30, 151)(31, 132)(32, 177)(33, 152)(34, 160)(35, 140)(36, 175)(37, 146)(38, 161)(39, 139)(40, 171)(41, 169)(42, 159)(43, 178)(44, 156)(45, 166)(46, 141)(47, 180)(48, 167)(49, 158)(50, 176)(51, 154)(52, 157)(53, 174)(54, 147)(55, 164)(56, 149)(57, 153)(58, 179)(59, 163)(60, 168)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 42 e = 120 f = 42
	degree seq :: [ 4^30, 10^12 ]

E19.1335 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3^-1 * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^5, (Y1 * Y2 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-2)^2, (Y2^-1 * Y1)^3, (Y2^-1 * Y3^-1)^3, Y1 * Y2 * Y3 * Y2^2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^2 * Y1, Y2^2 * Y3 * Y1 * Y2^-2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 17, 77)(6, 66, 8, 68)(7, 67, 23, 83)(9, 69, 29, 89)(12, 72, 37, 97)(13, 73, 36, 96)(14, 74, 28, 88)(15, 75, 32, 92)(16, 76, 26, 86)(18, 78, 47, 107)(19, 79, 48, 108)(20, 80, 27, 87)(21, 81, 42, 102)(22, 82, 51, 111)(24, 84, 38, 98)(25, 85, 45, 105)(30, 90, 44, 104)(31, 91, 55, 115)(33, 93, 40, 100)(34, 94, 53, 113)(35, 95, 54, 114)(39, 99, 56, 116)(41, 101, 43, 103)(46, 106, 59, 119)(49, 109, 58, 118)(50, 110, 57, 117)(52, 112, 60, 120)(121, 181, 123, 183, 132, 192, 139, 199, 125, 185)(122, 182, 127, 187, 144, 204, 151, 211, 129, 189)(124, 184, 135, 195, 163, 223, 159, 219, 136, 196)(126, 186, 141, 201, 169, 229, 175, 235, 142, 202)(128, 188, 147, 207, 177, 237, 176, 236, 148, 208)(130, 190, 153, 213, 179, 239, 168, 228, 154, 214)(131, 191, 149, 209, 178, 238, 165, 225, 155, 215)(133, 193, 160, 220, 146, 206, 170, 230, 150, 210)(134, 194, 161, 221, 138, 198, 145, 205, 162, 222)(137, 197, 166, 226, 156, 216, 172, 232, 143, 203)(140, 200, 171, 231, 158, 218, 180, 240, 164, 224)(152, 212, 173, 233, 157, 217, 174, 234, 167, 227)
	L = (1, 124)(2, 128)(3, 133)(4, 126)(5, 138)(6, 121)(7, 145)(8, 130)(9, 150)(10, 122)(11, 148)(12, 158)(13, 134)(14, 123)(15, 164)(16, 165)(17, 147)(18, 140)(19, 169)(20, 125)(21, 172)(22, 174)(23, 136)(24, 157)(25, 146)(26, 127)(27, 167)(28, 156)(29, 135)(30, 152)(31, 179)(32, 129)(33, 155)(34, 180)(35, 171)(36, 131)(37, 176)(38, 159)(39, 132)(40, 142)(41, 151)(42, 154)(43, 166)(44, 149)(45, 143)(46, 175)(47, 137)(48, 177)(49, 170)(50, 139)(51, 153)(52, 173)(53, 141)(54, 160)(55, 163)(56, 144)(57, 178)(58, 168)(59, 161)(60, 162)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 42 e = 120 f = 42
	degree seq :: [ 4^30, 10^12 ]

E19.1336 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * R)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^5, Y2^5, Y2 * Y3^-1 * Y2^2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1 * Y2^-1)^2, Y2^-2 * Y1 * Y2 * Y3^-2, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2, Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3, Y2^-1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1, Y2 * Y3^-1 * Y2 * Y3^2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 18, 78)(6, 66, 8, 68)(7, 67, 25, 85)(9, 69, 32, 92)(12, 72, 41, 101)(13, 73, 40, 100)(14, 74, 31, 91)(15, 75, 35, 95)(16, 76, 38, 98)(17, 77, 28, 88)(19, 79, 51, 111)(20, 80, 49, 109)(21, 81, 29, 89)(22, 82, 39, 99)(23, 83, 53, 113)(24, 84, 30, 90)(26, 86, 55, 115)(27, 87, 54, 114)(33, 93, 46, 106)(34, 94, 59, 119)(36, 96, 45, 105)(37, 97, 52, 112)(42, 102, 60, 120)(43, 103, 58, 118)(44, 104, 50, 110)(47, 107, 57, 117)(48, 108, 56, 116)(121, 181, 123, 183, 132, 192, 140, 200, 125, 185)(122, 182, 127, 187, 146, 206, 154, 214, 129, 189)(124, 184, 135, 195, 167, 227, 170, 230, 137, 197)(126, 186, 142, 202, 171, 231, 148, 208, 143, 203)(128, 188, 149, 209, 177, 237, 180, 240, 151, 211)(130, 190, 156, 216, 166, 226, 134, 194, 157, 217)(131, 191, 159, 219, 147, 207, 176, 236, 155, 215)(133, 193, 163, 223, 141, 201, 145, 205, 165, 225)(136, 196, 168, 228, 175, 235, 173, 233, 169, 229)(138, 198, 164, 224, 144, 204, 174, 234, 153, 213)(139, 199, 152, 212, 162, 222, 158, 218, 160, 220)(150, 210, 178, 238, 161, 221, 172, 232, 179, 239)
	L = (1, 124)(2, 128)(3, 133)(4, 136)(5, 139)(6, 121)(7, 147)(8, 150)(9, 153)(10, 122)(11, 151)(12, 148)(13, 164)(14, 123)(15, 163)(16, 144)(17, 161)(18, 149)(19, 172)(20, 156)(21, 125)(22, 165)(23, 166)(24, 126)(25, 137)(26, 134)(27, 162)(28, 127)(29, 176)(30, 158)(31, 175)(32, 135)(33, 173)(34, 142)(35, 129)(36, 159)(37, 171)(38, 130)(39, 179)(40, 131)(41, 180)(42, 132)(43, 143)(44, 146)(45, 169)(46, 152)(47, 140)(48, 141)(49, 177)(50, 160)(51, 138)(52, 168)(53, 178)(54, 145)(55, 170)(56, 157)(57, 154)(58, 155)(59, 167)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 42 e = 120 f = 42
	degree seq :: [ 4^30, 10^12 ]

E19.1337 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 12, 15})
Quotient :: edge
Aut^+ = C3 x (C5 : C4) (small group id <60, 2>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^-2 * T1 * T2^2 * T1^-1, T1^-1 * T2^4 * T1^-1 * T2^2, T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, (T1 * T2^-2 * T1)^3 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 36, 18, 6, 17, 35, 34, 16, 5)(2, 7, 20, 39, 31, 13, 4, 12, 28, 44, 24, 8)(9, 25, 46, 33, 15, 30, 11, 29, 50, 32, 14, 26)(19, 37, 54, 43, 23, 41, 21, 40, 58, 42, 22, 38)(45, 56, 52, 53, 49, 60, 47, 57, 51, 55, 48, 59)(61, 62, 66, 64)(63, 69, 77, 71)(65, 74, 78, 75)(67, 79, 72, 81)(68, 82, 73, 83)(70, 80, 95, 88)(76, 84, 96, 91)(85, 105, 89, 107)(86, 108, 90, 109)(87, 106, 94, 110)(92, 111, 93, 112)(97, 113, 100, 115)(98, 116, 101, 117)(99, 114, 104, 118)(102, 119, 103, 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) :: { ( 30^4 ), ( 30^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1341
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 60 f = 4
	degree seq :: [ 4^15, 12^5 ]

E19.1338 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 12, 15})
Quotient :: edge
Aut^+ = C3 x (C5 : C4) (small group id <60, 2>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^3 * T2^-1 * T1, T2^-1 * T1^-2 * T2 * T1^2, T1^-1 * T2^4 * T1 * T2^-1, (T2^-1 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 23, 44, 59, 56, 52, 60, 54, 25, 43, 17, 5)(2, 7, 22, 28, 9, 27, 57, 41, 29, 58, 34, 15, 38, 26, 8)(4, 12, 33, 32, 11, 18, 45, 42, 31, 46, 40, 16, 39, 37, 14)(6, 19, 47, 50, 21, 49, 36, 55, 51, 35, 13, 24, 53, 48, 20)(61, 62, 66, 78, 104, 87, 109, 100, 114, 94, 73, 64)(63, 69, 79, 106, 119, 118, 96, 74, 85, 68, 84, 71)(65, 75, 80, 72, 83, 67, 81, 105, 120, 117, 95, 76)(70, 89, 107, 97, 116, 86, 115, 92, 103, 88, 113, 91)(77, 101, 108, 99, 90, 98, 110, 93, 112, 82, 111, 102)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 8^12 ), ( 8^15 ) }
Outer automorphisms :: reflexible
Dual of E19.1342
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 60 f = 15
	degree seq :: [ 12^5, 15^4 ]

E19.1339 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 12, 15})
Quotient :: edge
Aut^+ = C3 x (C5 : C4) (small group id <60, 2>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-2 * T1 * T2^-2 * T1^-1, T1^2 * T2 * T1^-1 * T2^-1 * T1^2, T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-1, (T2 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 28, 14)(6, 18, 42, 19)(9, 26, 15, 27)(11, 29, 16, 31)(13, 34, 52, 36)(17, 32, 51, 37)(20, 45, 23, 46)(22, 47, 24, 35)(25, 49, 39, 50)(30, 54, 40, 55)(33, 53, 38, 56)(41, 57, 43, 58)(44, 59, 48, 60)(61, 62, 66, 77, 87, 106, 118, 115, 110, 120, 116, 91, 95, 73, 64)(63, 69, 85, 82, 67, 80, 104, 94, 78, 101, 93, 72, 92, 90, 71)(65, 75, 99, 84, 68, 83, 108, 96, 79, 103, 98, 74, 97, 100, 76)(70, 81, 102, 111, 86, 105, 117, 114, 109, 119, 113, 89, 107, 112, 88)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 24^4 ), ( 24^15 ) }
Outer automorphisms :: reflexible
Dual of E19.1340
Transitivity :: ET+
Graph:: simple bipartite
	v = 19 e = 60 f = 5
	degree seq :: [ 4^15, 15^4 ]

E19.1340 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 12, 15})
Quotient :: loop
Aut^+ = C3 x (C5 : C4) (small group id <60, 2>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^-2 * T1 * T2^2 * T1^-1, T1^-1 * T2^4 * T1^-1 * T2^2, T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, (T1 * T2^-2 * T1)^3 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 27, 87, 36, 96, 18, 78, 6, 66, 17, 77, 35, 95, 34, 94, 16, 76, 5, 65)(2, 62, 7, 67, 20, 80, 39, 99, 31, 91, 13, 73, 4, 64, 12, 72, 28, 88, 44, 104, 24, 84, 8, 68)(9, 69, 25, 85, 46, 106, 33, 93, 15, 75, 30, 90, 11, 71, 29, 89, 50, 110, 32, 92, 14, 74, 26, 86)(19, 79, 37, 97, 54, 114, 43, 103, 23, 83, 41, 101, 21, 81, 40, 100, 58, 118, 42, 102, 22, 82, 38, 98)(45, 105, 56, 116, 52, 112, 53, 113, 49, 109, 60, 120, 47, 107, 57, 117, 51, 111, 55, 115, 48, 108, 59, 119)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 74)(6, 64)(7, 79)(8, 82)(9, 77)(10, 80)(11, 63)(12, 81)(13, 83)(14, 78)(15, 65)(16, 84)(17, 71)(18, 75)(19, 72)(20, 95)(21, 67)(22, 73)(23, 68)(24, 96)(25, 105)(26, 108)(27, 106)(28, 70)(29, 107)(30, 109)(31, 76)(32, 111)(33, 112)(34, 110)(35, 88)(36, 91)(37, 113)(38, 116)(39, 114)(40, 115)(41, 117)(42, 119)(43, 120)(44, 118)(45, 89)(46, 94)(47, 85)(48, 90)(49, 86)(50, 87)(51, 93)(52, 92)(53, 100)(54, 104)(55, 97)(56, 101)(57, 98)(58, 99)(59, 103)(60, 102)
	local type(s) :: { ( 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15 ) }
Outer automorphisms :: reflexible
Dual of E19.1339
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 60 f = 19
	degree seq :: [ 24^5 ]

E19.1341 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 12, 15})
Quotient :: loop
Aut^+ = C3 x (C5 : C4) (small group id <60, 2>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^3 * T2^-1 * T1, T2^-1 * T1^-2 * T2 * T1^2, T1^-1 * T2^4 * T1 * T2^-1, (T2^-1 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 30, 90, 23, 83, 44, 104, 59, 119, 56, 116, 52, 112, 60, 120, 54, 114, 25, 85, 43, 103, 17, 77, 5, 65)(2, 62, 7, 67, 22, 82, 28, 88, 9, 69, 27, 87, 57, 117, 41, 101, 29, 89, 58, 118, 34, 94, 15, 75, 38, 98, 26, 86, 8, 68)(4, 64, 12, 72, 33, 93, 32, 92, 11, 71, 18, 78, 45, 105, 42, 102, 31, 91, 46, 106, 40, 100, 16, 76, 39, 99, 37, 97, 14, 74)(6, 66, 19, 79, 47, 107, 50, 110, 21, 81, 49, 109, 36, 96, 55, 115, 51, 111, 35, 95, 13, 73, 24, 84, 53, 113, 48, 108, 20, 80)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 75)(6, 78)(7, 81)(8, 84)(9, 79)(10, 89)(11, 63)(12, 83)(13, 64)(14, 85)(15, 80)(16, 65)(17, 101)(18, 104)(19, 106)(20, 72)(21, 105)(22, 111)(23, 67)(24, 71)(25, 68)(26, 115)(27, 109)(28, 113)(29, 107)(30, 98)(31, 70)(32, 103)(33, 112)(34, 73)(35, 76)(36, 74)(37, 116)(38, 110)(39, 90)(40, 114)(41, 108)(42, 77)(43, 88)(44, 87)(45, 120)(46, 119)(47, 97)(48, 99)(49, 100)(50, 93)(51, 102)(52, 82)(53, 91)(54, 94)(55, 92)(56, 86)(57, 95)(58, 96)(59, 118)(60, 117)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.1337
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 60 f = 20
	degree seq :: [ 30^4 ]

E19.1342 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 12, 15})
Quotient :: loop
Aut^+ = C3 x (C5 : C4) (small group id <60, 2>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-2 * T1 * T2^-2 * T1^-1, T1^2 * T2 * T1^-1 * T2^-1 * T1^2, T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-1, (T2 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 5, 65)(2, 62, 7, 67, 21, 81, 8, 68)(4, 64, 12, 72, 28, 88, 14, 74)(6, 66, 18, 78, 42, 102, 19, 79)(9, 69, 26, 86, 15, 75, 27, 87)(11, 71, 29, 89, 16, 76, 31, 91)(13, 73, 34, 94, 52, 112, 36, 96)(17, 77, 32, 92, 51, 111, 37, 97)(20, 80, 45, 105, 23, 83, 46, 106)(22, 82, 47, 107, 24, 84, 35, 95)(25, 85, 49, 109, 39, 99, 50, 110)(30, 90, 54, 114, 40, 100, 55, 115)(33, 93, 53, 113, 38, 98, 56, 116)(41, 101, 57, 117, 43, 103, 58, 118)(44, 104, 59, 119, 48, 108, 60, 120)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 75)(6, 77)(7, 80)(8, 83)(9, 85)(10, 81)(11, 63)(12, 92)(13, 64)(14, 97)(15, 99)(16, 65)(17, 87)(18, 101)(19, 103)(20, 104)(21, 102)(22, 67)(23, 108)(24, 68)(25, 82)(26, 105)(27, 106)(28, 70)(29, 107)(30, 71)(31, 95)(32, 90)(33, 72)(34, 78)(35, 73)(36, 79)(37, 100)(38, 74)(39, 84)(40, 76)(41, 93)(42, 111)(43, 98)(44, 94)(45, 117)(46, 118)(47, 112)(48, 96)(49, 119)(50, 120)(51, 86)(52, 88)(53, 89)(54, 109)(55, 110)(56, 91)(57, 114)(58, 115)(59, 113)(60, 116)
	local type(s) :: { ( 12, 15, 12, 15, 12, 15, 12, 15 ) }
Outer automorphisms :: reflexible
Dual of E19.1338
Transitivity :: ET+ VT+ AT
Graph::
	v = 15 e = 60 f = 9
	degree seq :: [ 8^15 ]

E19.1343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 15})
Quotient :: dipole
Aut^+ = C3 x (C5 : C4) (small group id <60, 2>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y3, Y3^-1 * Y1^-1, Y3 * Y1^-3, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y2^2 * Y1^-1 * Y2^-2 * Y1, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y2^-3 * Y1 * Y3^-1 * Y2^-3, Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 4, 64)(3, 63, 9, 69, 17, 77, 11, 71)(5, 65, 14, 74, 18, 78, 15, 75)(7, 67, 19, 79, 12, 72, 21, 81)(8, 68, 22, 82, 13, 73, 23, 83)(10, 70, 20, 80, 35, 95, 28, 88)(16, 76, 24, 84, 36, 96, 31, 91)(25, 85, 45, 105, 29, 89, 47, 107)(26, 86, 48, 108, 30, 90, 49, 109)(27, 87, 46, 106, 34, 94, 50, 110)(32, 92, 51, 111, 33, 93, 52, 112)(37, 97, 53, 113, 40, 100, 55, 115)(38, 98, 56, 116, 41, 101, 57, 117)(39, 99, 54, 114, 44, 104, 58, 118)(42, 102, 59, 119, 43, 103, 60, 120)(121, 181, 123, 183, 130, 190, 147, 207, 156, 216, 138, 198, 126, 186, 137, 197, 155, 215, 154, 214, 136, 196, 125, 185)(122, 182, 127, 187, 140, 200, 159, 219, 151, 211, 133, 193, 124, 184, 132, 192, 148, 208, 164, 224, 144, 204, 128, 188)(129, 189, 145, 205, 166, 226, 153, 213, 135, 195, 150, 210, 131, 191, 149, 209, 170, 230, 152, 212, 134, 194, 146, 206)(139, 199, 157, 217, 174, 234, 163, 223, 143, 203, 161, 221, 141, 201, 160, 220, 178, 238, 162, 222, 142, 202, 158, 218)(165, 225, 176, 236, 172, 232, 173, 233, 169, 229, 180, 240, 167, 227, 177, 237, 171, 231, 175, 235, 168, 228, 179, 239)
	L = (1, 124)(2, 121)(3, 131)(4, 126)(5, 135)(6, 122)(7, 141)(8, 143)(9, 123)(10, 148)(11, 137)(12, 139)(13, 142)(14, 125)(15, 138)(16, 151)(17, 129)(18, 134)(19, 127)(20, 130)(21, 132)(22, 128)(23, 133)(24, 136)(25, 167)(26, 169)(27, 170)(28, 155)(29, 165)(30, 168)(31, 156)(32, 172)(33, 171)(34, 166)(35, 140)(36, 144)(37, 175)(38, 177)(39, 178)(40, 173)(41, 176)(42, 180)(43, 179)(44, 174)(45, 145)(46, 147)(47, 149)(48, 146)(49, 150)(50, 154)(51, 152)(52, 153)(53, 157)(54, 159)(55, 160)(56, 158)(57, 161)(58, 164)(59, 162)(60, 163)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30 ), ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.1346
Graph:: bipartite
	v = 20 e = 120 f = 64
	degree seq :: [ 8^15, 24^5 ]

E19.1344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 15})
Quotient :: dipole
Aut^+ = C3 x (C5 : C4) (small group id <60, 2>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-3 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1 * Y2^-4, (Y3^-1 * Y1^-1)^4, Y2 * Y1 * Y2 * Y1^7 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 44, 104, 27, 87, 49, 109, 40, 100, 54, 114, 34, 94, 13, 73, 4, 64)(3, 63, 9, 69, 19, 79, 46, 106, 59, 119, 58, 118, 36, 96, 14, 74, 25, 85, 8, 68, 24, 84, 11, 71)(5, 65, 15, 75, 20, 80, 12, 72, 23, 83, 7, 67, 21, 81, 45, 105, 60, 120, 57, 117, 35, 95, 16, 76)(10, 70, 29, 89, 47, 107, 37, 97, 56, 116, 26, 86, 55, 115, 32, 92, 43, 103, 28, 88, 53, 113, 31, 91)(17, 77, 41, 101, 48, 108, 39, 99, 30, 90, 38, 98, 50, 110, 33, 93, 52, 112, 22, 82, 51, 111, 42, 102)(121, 181, 123, 183, 130, 190, 150, 210, 143, 203, 164, 224, 179, 239, 176, 236, 172, 232, 180, 240, 174, 234, 145, 205, 163, 223, 137, 197, 125, 185)(122, 182, 127, 187, 142, 202, 148, 208, 129, 189, 147, 207, 177, 237, 161, 221, 149, 209, 178, 238, 154, 214, 135, 195, 158, 218, 146, 206, 128, 188)(124, 184, 132, 192, 153, 213, 152, 212, 131, 191, 138, 198, 165, 225, 162, 222, 151, 211, 166, 226, 160, 220, 136, 196, 159, 219, 157, 217, 134, 194)(126, 186, 139, 199, 167, 227, 170, 230, 141, 201, 169, 229, 156, 216, 175, 235, 171, 231, 155, 215, 133, 193, 144, 204, 173, 233, 168, 228, 140, 200)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 139)(7, 142)(8, 122)(9, 147)(10, 150)(11, 138)(12, 153)(13, 144)(14, 124)(15, 158)(16, 159)(17, 125)(18, 165)(19, 167)(20, 126)(21, 169)(22, 148)(23, 164)(24, 173)(25, 163)(26, 128)(27, 177)(28, 129)(29, 178)(30, 143)(31, 166)(32, 131)(33, 152)(34, 135)(35, 133)(36, 175)(37, 134)(38, 146)(39, 157)(40, 136)(41, 149)(42, 151)(43, 137)(44, 179)(45, 162)(46, 160)(47, 170)(48, 140)(49, 156)(50, 141)(51, 155)(52, 180)(53, 168)(54, 145)(55, 171)(56, 172)(57, 161)(58, 154)(59, 176)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 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 E19.1345
Graph:: bipartite
	v = 9 e = 120 f = 75
	degree seq :: [ 24^5, 30^4 ]

E19.1345 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 15})
Quotient :: dipole
Aut^+ = C3 x (C5 : C4) (small group id <60, 2>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y2 * Y3^-4 * Y2^-1 * Y3, Y3^2 * Y2 * Y3 * Y2^-1 * Y3^-2 * Y2 * Y3^-1 * Y2^-1, (Y3 * Y2)^12, (Y3^-1 * Y1^-1)^15 ]
Map::
	R = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)(121, 181, 122, 182, 126, 186, 124, 184)(123, 183, 129, 189, 137, 197, 131, 191)(125, 185, 134, 194, 138, 198, 135, 195)(127, 187, 139, 199, 132, 192, 141, 201)(128, 188, 142, 202, 133, 193, 143, 203)(130, 190, 147, 207, 161, 221, 149, 209)(136, 196, 158, 218, 162, 222, 159, 219)(140, 200, 165, 225, 152, 212, 166, 226)(144, 204, 171, 231, 153, 213, 172, 232)(145, 205, 163, 223, 150, 210, 167, 227)(146, 206, 168, 228, 151, 211, 160, 220)(148, 208, 154, 214, 164, 224, 156, 216)(155, 215, 169, 229, 157, 217, 170, 230)(173, 233, 178, 238, 176, 236, 179, 239)(174, 234, 177, 237, 175, 235, 180, 240)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 137)(7, 140)(8, 122)(9, 145)(10, 148)(11, 150)(12, 152)(13, 124)(14, 154)(15, 156)(16, 125)(17, 161)(18, 126)(19, 163)(20, 146)(21, 167)(22, 168)(23, 160)(24, 128)(25, 173)(26, 129)(27, 174)(28, 141)(29, 175)(30, 176)(31, 131)(32, 151)(33, 133)(34, 144)(35, 134)(36, 153)(37, 135)(38, 147)(39, 149)(40, 136)(41, 164)(42, 138)(43, 177)(44, 139)(45, 178)(46, 179)(47, 180)(48, 162)(49, 142)(50, 143)(51, 165)(52, 166)(53, 158)(54, 155)(55, 157)(56, 159)(57, 171)(58, 169)(59, 170)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 24, 30 ), ( 24, 30, 24, 30, 24, 30, 24, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.1344
Graph:: simple bipartite
	v = 75 e = 120 f = 9
	degree seq :: [ 2^60, 8^15 ]

E19.1346 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 15})
Quotient :: dipole
Aut^+ = C3 x (C5 : C4) (small group id <60, 2>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y1^2 * Y3^-1 * Y1^-1 * Y3 * Y1^2, (Y3 * Y2^-1)^4, Y3^-1 * Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 17, 77, 27, 87, 46, 106, 58, 118, 55, 115, 50, 110, 60, 120, 56, 116, 31, 91, 35, 95, 13, 73, 4, 64)(3, 63, 9, 69, 25, 85, 22, 82, 7, 67, 20, 80, 44, 104, 34, 94, 18, 78, 41, 101, 33, 93, 12, 72, 32, 92, 30, 90, 11, 71)(5, 65, 15, 75, 39, 99, 24, 84, 8, 68, 23, 83, 48, 108, 36, 96, 19, 79, 43, 103, 38, 98, 14, 74, 37, 97, 40, 100, 16, 76)(10, 70, 21, 81, 42, 102, 51, 111, 26, 86, 45, 105, 57, 117, 54, 114, 49, 109, 59, 119, 53, 113, 29, 89, 47, 107, 52, 112, 28, 88)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 138)(7, 141)(8, 122)(9, 146)(10, 125)(11, 149)(12, 148)(13, 154)(14, 124)(15, 147)(16, 151)(17, 152)(18, 162)(19, 126)(20, 165)(21, 128)(22, 167)(23, 166)(24, 155)(25, 169)(26, 135)(27, 129)(28, 134)(29, 136)(30, 174)(31, 131)(32, 171)(33, 173)(34, 172)(35, 142)(36, 133)(37, 137)(38, 176)(39, 170)(40, 175)(41, 177)(42, 139)(43, 178)(44, 179)(45, 143)(46, 140)(47, 144)(48, 180)(49, 159)(50, 145)(51, 157)(52, 156)(53, 158)(54, 160)(55, 150)(56, 153)(57, 163)(58, 161)(59, 168)(60, 164)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 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 E19.1343
Graph:: simple bipartite
	v = 64 e = 120 f = 20
	degree seq :: [ 2^60, 30^4 ]

E19.1347 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 15})
Quotient :: dipole
Aut^+ = C3 x (C5 : C4) (small group id <60, 2>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, Y1^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-4 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2^-1 * R * Y2^3 * R * Y2^-2, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 4, 64)(3, 63, 9, 69, 17, 77, 11, 71)(5, 65, 14, 74, 18, 78, 15, 75)(7, 67, 19, 79, 12, 72, 21, 81)(8, 68, 22, 82, 13, 73, 23, 83)(10, 70, 27, 87, 41, 101, 29, 89)(16, 76, 38, 98, 42, 102, 39, 99)(20, 80, 45, 105, 32, 92, 46, 106)(24, 84, 51, 111, 33, 93, 52, 112)(25, 85, 43, 103, 30, 90, 47, 107)(26, 86, 48, 108, 31, 91, 40, 100)(28, 88, 34, 94, 44, 104, 36, 96)(35, 95, 49, 109, 37, 97, 50, 110)(53, 113, 58, 118, 56, 116, 59, 119)(54, 114, 57, 117, 55, 115, 60, 120)(121, 181, 123, 183, 130, 190, 148, 208, 141, 201, 167, 227, 180, 240, 172, 232, 166, 226, 179, 239, 170, 230, 143, 203, 160, 220, 136, 196, 125, 185)(122, 182, 127, 187, 140, 200, 146, 206, 129, 189, 145, 205, 173, 233, 158, 218, 147, 207, 174, 234, 155, 215, 134, 194, 154, 214, 144, 204, 128, 188)(124, 184, 132, 192, 152, 212, 151, 211, 131, 191, 150, 210, 176, 236, 159, 219, 149, 209, 175, 235, 157, 217, 135, 195, 156, 216, 153, 213, 133, 193)(126, 186, 137, 197, 161, 221, 164, 224, 139, 199, 163, 223, 177, 237, 171, 231, 165, 225, 178, 238, 169, 229, 142, 202, 168, 228, 162, 222, 138, 198)
	L = (1, 124)(2, 121)(3, 131)(4, 126)(5, 135)(6, 122)(7, 141)(8, 143)(9, 123)(10, 149)(11, 137)(12, 139)(13, 142)(14, 125)(15, 138)(16, 159)(17, 129)(18, 134)(19, 127)(20, 166)(21, 132)(22, 128)(23, 133)(24, 172)(25, 167)(26, 160)(27, 130)(28, 156)(29, 161)(30, 163)(31, 168)(32, 165)(33, 171)(34, 148)(35, 170)(36, 164)(37, 169)(38, 136)(39, 162)(40, 151)(41, 147)(42, 158)(43, 145)(44, 154)(45, 140)(46, 152)(47, 150)(48, 146)(49, 155)(50, 157)(51, 144)(52, 153)(53, 179)(54, 180)(55, 177)(56, 178)(57, 174)(58, 173)(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) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 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 E19.1348
Graph:: bipartite
	v = 19 e = 120 f = 65
	degree seq :: [ 8^15, 30^4 ]

E19.1348 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 15})
Quotient :: dipole
Aut^+ = C3 x (C5 : C4) (small group id <60, 2>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y1^-2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y1 * Y3^4 * Y1^-1 * Y3^-1, (Y3^-1 * Y1^-1)^4, Y3 * Y1^-1 * Y3 * Y1^9, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 44, 104, 27, 87, 49, 109, 40, 100, 54, 114, 34, 94, 13, 73, 4, 64)(3, 63, 9, 69, 19, 79, 46, 106, 59, 119, 58, 118, 36, 96, 14, 74, 25, 85, 8, 68, 24, 84, 11, 71)(5, 65, 15, 75, 20, 80, 12, 72, 23, 83, 7, 67, 21, 81, 45, 105, 60, 120, 57, 117, 35, 95, 16, 76)(10, 70, 29, 89, 47, 107, 37, 97, 56, 116, 26, 86, 55, 115, 32, 92, 43, 103, 28, 88, 53, 113, 31, 91)(17, 77, 41, 101, 48, 108, 39, 99, 30, 90, 38, 98, 50, 110, 33, 93, 52, 112, 22, 82, 51, 111, 42, 102)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 139)(7, 142)(8, 122)(9, 147)(10, 150)(11, 138)(12, 153)(13, 144)(14, 124)(15, 158)(16, 159)(17, 125)(18, 165)(19, 167)(20, 126)(21, 169)(22, 148)(23, 164)(24, 173)(25, 163)(26, 128)(27, 177)(28, 129)(29, 178)(30, 143)(31, 166)(32, 131)(33, 152)(34, 135)(35, 133)(36, 175)(37, 134)(38, 146)(39, 157)(40, 136)(41, 149)(42, 151)(43, 137)(44, 179)(45, 162)(46, 160)(47, 170)(48, 140)(49, 156)(50, 141)(51, 155)(52, 180)(53, 168)(54, 145)(55, 171)(56, 172)(57, 161)(58, 154)(59, 176)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8, 30 ), ( 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.1347
Graph:: simple bipartite
	v = 65 e = 120 f = 19
	degree seq :: [ 2^60, 24^5 ]

E19.1349 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 12, 15})
Quotient :: edge
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = C3 x (C5 : C4) (small group id <60, 6>)
|r| :: 1
Presentation :: [ X1^4, X1^4, X1 * X2^2 * X1 * X2 * X1, X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1^-1, X2^12 ]
Map:: non-degenerate
	R = (1, 2, 6, 4)(3, 9, 25, 11)(5, 14, 26, 15)(7, 19, 16, 21)(8, 22, 43, 23)(10, 18, 41, 29)(12, 32, 42, 33)(13, 34, 46, 20)(17, 39, 24, 40)(27, 49, 37, 52)(28, 53, 57, 48)(30, 47, 58, 55)(31, 51, 60, 44)(35, 45, 38, 54)(36, 50, 59, 56)(61, 63, 70, 88, 110, 82, 109, 93, 115, 98, 76, 65)(62, 67, 80, 105, 119, 101, 91, 71, 90, 112, 84, 68)(64, 72, 83, 111, 96, 74, 95, 100, 118, 113, 85, 73)(66, 77, 75, 97, 116, 94, 108, 81, 107, 120, 102, 78)(69, 86, 104, 79, 103, 117, 99, 89, 114, 92, 106, 87)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30^4 ), ( 30^12 ) }
Outer automorphisms :: chiral
Dual of E19.1354
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 60 f = 4
	degree seq :: [ 4^15, 12^5 ]

E19.1350 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 12, 15})
Quotient :: edge
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = C3 x (C5 : C4) (small group id <60, 6>)
|r| :: 1
Presentation :: [ X1 * X2^-1 * X1^-1 * X2^-2, (X1^2 * X2^-1)^2, X1^-1 * X2 * X1^3 * X2^2 * X1^-2, X2^15 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 18, 41, 52, 50, 53, 59, 32, 13, 4)(3, 9, 25, 37, 56, 49, 33, 60, 47, 22, 20, 11)(5, 15, 31, 57, 48, 24, 19, 29, 54, 46, 38, 16)(7, 21, 45, 27, 26, 35, 14, 34, 58, 43, 39, 17)(8, 23, 12, 30, 55, 44, 42, 40, 36, 51, 28, 10)(61, 63, 70, 87, 108, 101, 116, 90, 94, 114, 119, 107, 100, 77, 65)(62, 67, 82, 106, 115, 112, 86, 69, 75, 96, 92, 118, 109, 84, 68)(64, 72, 76, 97, 99, 78, 102, 117, 120, 105, 113, 88, 89, 71, 74)(66, 79, 103, 111, 85, 110, 98, 81, 83, 93, 73, 91, 95, 104, 80)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 8^12 ), ( 8^15 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 60 f = 15
	degree seq :: [ 12^5, 15^4 ]

E19.1351 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 12, 15})
Quotient :: edge
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = C3 x (C5 : C4) (small group id <60, 6>)
|r| :: 1
Presentation :: [ X2^4, X1 * X2 * X1 * X2^-1 * X1, (X1 * X2^-1 * X1^-1 * X2^-1)^2, X1^15, X2 * X1^-2 * X2^-1 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1 ]
Map:: non-degenerate
	R = (1, 2, 6, 17, 37, 59, 56, 33, 35, 44, 60, 47, 30, 13, 4)(3, 9, 22, 46, 57, 43, 20, 7, 12, 28, 52, 58, 51, 27, 11)(5, 15, 14, 32, 31, 55, 54, 48, 49, 38, 39, 18, 21, 8, 16)(10, 24, 36, 41, 19, 40, 45, 23, 26, 50, 53, 29, 42, 34, 25)(61, 63, 70, 65)(62, 67, 79, 68)(64, 72, 89, 74)(66, 71, 86, 78)(69, 83, 91, 73)(75, 93, 117, 94)(76, 95, 118, 96)(77, 80, 102, 98)(81, 104, 106, 105)(82, 85, 109, 107)(84, 108, 97, 87)(88, 101, 114, 90)(92, 116, 111, 110)(99, 120, 112, 113)(100, 115, 119, 103)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 24^4 ), ( 24^15 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 19 e = 60 f = 5
	degree seq :: [ 4^15, 15^4 ]

E19.1352 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 12, 15})
Quotient :: loop
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = C3 x (C5 : C4) (small group id <60, 6>)
|r| :: 1
Presentation :: [ X1^4, X1^4, X1 * X2^2 * X1 * X2 * X1, X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1^-1, X2^12 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 6, 66, 4, 64)(3, 63, 9, 69, 25, 85, 11, 71)(5, 65, 14, 74, 26, 86, 15, 75)(7, 67, 19, 79, 16, 76, 21, 81)(8, 68, 22, 82, 43, 103, 23, 83)(10, 70, 18, 78, 41, 101, 29, 89)(12, 72, 32, 92, 42, 102, 33, 93)(13, 73, 34, 94, 46, 106, 20, 80)(17, 77, 39, 99, 24, 84, 40, 100)(27, 87, 49, 109, 37, 97, 52, 112)(28, 88, 53, 113, 57, 117, 48, 108)(30, 90, 47, 107, 58, 118, 55, 115)(31, 91, 51, 111, 60, 120, 44, 104)(35, 95, 45, 105, 38, 98, 54, 114)(36, 96, 50, 110, 59, 119, 56, 116)
	L = (1, 63)(2, 67)(3, 70)(4, 72)(5, 61)(6, 77)(7, 80)(8, 62)(9, 86)(10, 88)(11, 90)(12, 83)(13, 64)(14, 95)(15, 97)(16, 65)(17, 75)(18, 66)(19, 103)(20, 105)(21, 107)(22, 109)(23, 111)(24, 68)(25, 73)(26, 104)(27, 69)(28, 110)(29, 114)(30, 112)(31, 71)(32, 106)(33, 115)(34, 108)(35, 100)(36, 74)(37, 116)(38, 76)(39, 89)(40, 118)(41, 91)(42, 78)(43, 117)(44, 79)(45, 119)(46, 87)(47, 120)(48, 81)(49, 93)(50, 82)(51, 96)(52, 84)(53, 85)(54, 92)(55, 98)(56, 94)(57, 99)(58, 113)(59, 101)(60, 102)
	local type(s) :: { ( 12, 15, 12, 15, 12, 15, 12, 15 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 15 e = 60 f = 9
	degree seq :: [ 8^15 ]

E19.1353 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 12, 15})
Quotient :: loop
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = C3 x (C5 : C4) (small group id <60, 6>)
|r| :: 1
Presentation :: [ X1 * X2^-1 * X1^-1 * X2^-2, (X1^2 * X2^-1)^2, X1^-1 * X2 * X1^3 * X2^2 * X1^-2, X2^15 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 18, 78, 41, 101, 52, 112, 50, 110, 53, 113, 59, 119, 32, 92, 13, 73, 4, 64)(3, 63, 9, 69, 25, 85, 37, 97, 56, 116, 49, 109, 33, 93, 60, 120, 47, 107, 22, 82, 20, 80, 11, 71)(5, 65, 15, 75, 31, 91, 57, 117, 48, 108, 24, 84, 19, 79, 29, 89, 54, 114, 46, 106, 38, 98, 16, 76)(7, 67, 21, 81, 45, 105, 27, 87, 26, 86, 35, 95, 14, 74, 34, 94, 58, 118, 43, 103, 39, 99, 17, 77)(8, 68, 23, 83, 12, 72, 30, 90, 55, 115, 44, 104, 42, 102, 40, 100, 36, 96, 51, 111, 28, 88, 10, 70)
	L = (1, 63)(2, 67)(3, 70)(4, 72)(5, 61)(6, 79)(7, 82)(8, 62)(9, 75)(10, 87)(11, 74)(12, 76)(13, 91)(14, 64)(15, 96)(16, 97)(17, 65)(18, 102)(19, 103)(20, 66)(21, 83)(22, 106)(23, 93)(24, 68)(25, 110)(26, 69)(27, 108)(28, 89)(29, 71)(30, 94)(31, 95)(32, 118)(33, 73)(34, 114)(35, 104)(36, 92)(37, 99)(38, 81)(39, 78)(40, 77)(41, 116)(42, 117)(43, 111)(44, 80)(45, 113)(46, 115)(47, 100)(48, 101)(49, 84)(50, 98)(51, 85)(52, 86)(53, 88)(54, 119)(55, 112)(56, 90)(57, 120)(58, 109)(59, 107)(60, 105)
	local type(s) :: { ( 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 5 e = 60 f = 19
	degree seq :: [ 24^5 ]

E19.1354 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 12, 15})
Quotient :: loop
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = C3 x (C5 : C4) (small group id <60, 6>)
|r| :: 1
Presentation :: [ X2^4, X1 * X2 * X1 * X2^-1 * X1, (X1 * X2^-1 * X1^-1 * X2^-1)^2, X1^15, X2 * X1^-2 * X2^-1 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 17, 77, 37, 97, 59, 119, 56, 116, 33, 93, 35, 95, 44, 104, 60, 120, 47, 107, 30, 90, 13, 73, 4, 64)(3, 63, 9, 69, 22, 82, 46, 106, 57, 117, 43, 103, 20, 80, 7, 67, 12, 72, 28, 88, 52, 112, 58, 118, 51, 111, 27, 87, 11, 71)(5, 65, 15, 75, 14, 74, 32, 92, 31, 91, 55, 115, 54, 114, 48, 108, 49, 109, 38, 98, 39, 99, 18, 78, 21, 81, 8, 68, 16, 76)(10, 70, 24, 84, 36, 96, 41, 101, 19, 79, 40, 100, 45, 105, 23, 83, 26, 86, 50, 110, 53, 113, 29, 89, 42, 102, 34, 94, 25, 85)
	L = (1, 63)(2, 67)(3, 70)(4, 72)(5, 61)(6, 71)(7, 79)(8, 62)(9, 83)(10, 65)(11, 86)(12, 89)(13, 69)(14, 64)(15, 93)(16, 95)(17, 80)(18, 66)(19, 68)(20, 102)(21, 104)(22, 85)(23, 91)(24, 108)(25, 109)(26, 78)(27, 84)(28, 101)(29, 74)(30, 88)(31, 73)(32, 116)(33, 117)(34, 75)(35, 118)(36, 76)(37, 87)(38, 77)(39, 120)(40, 115)(41, 114)(42, 98)(43, 100)(44, 106)(45, 81)(46, 105)(47, 82)(48, 97)(49, 107)(50, 92)(51, 110)(52, 113)(53, 99)(54, 90)(55, 119)(56, 111)(57, 94)(58, 96)(59, 103)(60, 112)
	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 ) }
Outer automorphisms :: chiral
Dual of E19.1349
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 4 e = 60 f = 20
	degree seq :: [ 30^4 ]

E19.1355 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 20, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^20 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 56, 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, 9, 15, 21, 27, 33, 39, 45, 51, 57, 60, 58, 52, 46, 40, 34, 28, 22, 16, 10)(61, 62, 64)(63, 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, 111)(107, 109, 112)(110, 114, 117)(113, 115, 118)(116, 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) :: { ( 120^3 ), ( 120^20 ) }
Outer automorphisms :: reflexible
Dual of E19.1359
Transitivity :: ET+
Graph:: simple bipartite
	v = 23 e = 60 f = 1
	degree seq :: [ 3^20, 20^3 ]

E19.1356 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 20, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T2)^2, (F * T1)^2, T1^-3 * T2^-3, T2^-18 * T1^2, T2^11 * T1^-1 * T2 * T1^-7, T1^20 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 25, 31, 37, 43, 49, 55, 60, 53, 46, 42, 35, 28, 24, 16, 6, 15, 12, 4, 10, 20, 26, 32, 38, 44, 50, 56, 58, 54, 47, 40, 36, 29, 22, 18, 8, 2, 7, 17, 11, 21, 27, 33, 39, 45, 51, 57, 59, 52, 48, 41, 34, 30, 23, 14, 13, 5)(61, 62, 66, 74, 82, 88, 94, 100, 106, 112, 118, 115, 111, 104, 97, 93, 86, 79, 71, 64)(63, 67, 75, 73, 78, 84, 90, 96, 102, 108, 114, 120, 117, 110, 103, 99, 92, 85, 81, 70)(65, 68, 76, 83, 89, 95, 101, 107, 113, 119, 116, 109, 105, 98, 91, 87, 80, 69, 77, 72)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6^20 ), ( 6^60 ) }
Outer automorphisms :: reflexible
Dual of E19.1360
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 60 f = 20
	degree seq :: [ 20^3, 60 ]

E19.1357 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 20, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-1 * T1^20, (T1^-1 * T2^-1)^20 ]
Map:: non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 9, 11)(6, 13, 14)(10, 15, 17)(12, 19, 20)(16, 21, 23)(18, 25, 26)(22, 27, 29)(24, 31, 32)(28, 33, 35)(30, 37, 38)(34, 39, 41)(36, 43, 44)(40, 45, 47)(42, 49, 50)(46, 51, 53)(48, 55, 56)(52, 57, 59)(54, 60, 58)(61, 62, 66, 72, 78, 84, 90, 96, 102, 108, 114, 117, 111, 105, 99, 93, 87, 81, 75, 69, 63, 67, 73, 79, 85, 91, 97, 103, 109, 115, 120, 119, 113, 107, 101, 95, 89, 83, 77, 71, 65, 68, 74, 80, 86, 92, 98, 104, 110, 116, 118, 112, 106, 100, 94, 88, 82, 76, 70, 64)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 40^3 ), ( 40^60 ) }
Outer automorphisms :: reflexible
Dual of E19.1358
Transitivity :: ET+
Graph:: bipartite
	v = 21 e = 60 f = 3
	degree seq :: [ 3^20, 60 ]

E19.1358 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 20, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^20 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 8, 68, 14, 74, 20, 80, 26, 86, 32, 92, 38, 98, 44, 104, 50, 110, 56, 116, 53, 113, 47, 107, 41, 101, 35, 95, 29, 89, 23, 83, 17, 77, 11, 71, 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, 9, 69, 15, 75, 21, 81, 27, 87, 33, 93, 39, 99, 45, 105, 51, 111, 57, 117, 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, 66)(4, 61)(5, 67)(6, 69)(7, 70)(8, 72)(9, 63)(10, 65)(11, 73)(12, 75)(13, 76)(14, 78)(15, 68)(16, 71)(17, 79)(18, 81)(19, 82)(20, 84)(21, 74)(22, 77)(23, 85)(24, 87)(25, 88)(26, 90)(27, 80)(28, 83)(29, 91)(30, 93)(31, 94)(32, 96)(33, 86)(34, 89)(35, 97)(36, 99)(37, 100)(38, 102)(39, 92)(40, 95)(41, 103)(42, 105)(43, 106)(44, 108)(45, 98)(46, 101)(47, 109)(48, 111)(49, 112)(50, 114)(51, 104)(52, 107)(53, 115)(54, 117)(55, 118)(56, 119)(57, 110)(58, 113)(59, 120)(60, 116)
	local type(s) :: { ( 3, 60, 3, 60, 3, 60, 3, 60, 3, 60, 3, 60, 3, 60, 3, 60, 3, 60, 3, 60, 3, 60, 3, 60, 3, 60, 3, 60, 3, 60, 3, 60, 3, 60, 3, 60, 3, 60, 3, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.1357
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 60 f = 21
	degree seq :: [ 40^3 ]

E19.1359 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 20, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T2)^2, (F * T1)^2, T1^-3 * T2^-3, T2^-18 * T1^2, T2^11 * T1^-1 * T2 * T1^-7, T1^20 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 25, 85, 31, 91, 37, 97, 43, 103, 49, 109, 55, 115, 60, 120, 53, 113, 46, 106, 42, 102, 35, 95, 28, 88, 24, 84, 16, 76, 6, 66, 15, 75, 12, 72, 4, 64, 10, 70, 20, 80, 26, 86, 32, 92, 38, 98, 44, 104, 50, 110, 56, 116, 58, 118, 54, 114, 47, 107, 40, 100, 36, 96, 29, 89, 22, 82, 18, 78, 8, 68, 2, 62, 7, 67, 17, 77, 11, 71, 21, 81, 27, 87, 33, 93, 39, 99, 45, 105, 51, 111, 57, 117, 59, 119, 52, 112, 48, 108, 41, 101, 34, 94, 30, 90, 23, 83, 14, 74, 13, 73, 5, 65)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 82)(15, 73)(16, 83)(17, 72)(18, 84)(19, 71)(20, 69)(21, 70)(22, 88)(23, 89)(24, 90)(25, 81)(26, 79)(27, 80)(28, 94)(29, 95)(30, 96)(31, 87)(32, 85)(33, 86)(34, 100)(35, 101)(36, 102)(37, 93)(38, 91)(39, 92)(40, 106)(41, 107)(42, 108)(43, 99)(44, 97)(45, 98)(46, 112)(47, 113)(48, 114)(49, 105)(50, 103)(51, 104)(52, 118)(53, 119)(54, 120)(55, 111)(56, 109)(57, 110)(58, 115)(59, 116)(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, 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, 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 E19.1355
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 60 f = 23
	degree seq :: [ 120 ]

E19.1360 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 20, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-1 * T1^20, (T1^-1 * T2^-1)^20 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 5, 65)(2, 62, 7, 67, 8, 68)(4, 64, 9, 69, 11, 71)(6, 66, 13, 73, 14, 74)(10, 70, 15, 75, 17, 77)(12, 72, 19, 79, 20, 80)(16, 76, 21, 81, 23, 83)(18, 78, 25, 85, 26, 86)(22, 82, 27, 87, 29, 89)(24, 84, 31, 91, 32, 92)(28, 88, 33, 93, 35, 95)(30, 90, 37, 97, 38, 98)(34, 94, 39, 99, 41, 101)(36, 96, 43, 103, 44, 104)(40, 100, 45, 105, 47, 107)(42, 102, 49, 109, 50, 110)(46, 106, 51, 111, 53, 113)(48, 108, 55, 115, 56, 116)(52, 112, 57, 117, 59, 119)(54, 114, 60, 120, 58, 118)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 72)(7, 73)(8, 74)(9, 63)(10, 64)(11, 65)(12, 78)(13, 79)(14, 80)(15, 69)(16, 70)(17, 71)(18, 84)(19, 85)(20, 86)(21, 75)(22, 76)(23, 77)(24, 90)(25, 91)(26, 92)(27, 81)(28, 82)(29, 83)(30, 96)(31, 97)(32, 98)(33, 87)(34, 88)(35, 89)(36, 102)(37, 103)(38, 104)(39, 93)(40, 94)(41, 95)(42, 108)(43, 109)(44, 110)(45, 99)(46, 100)(47, 101)(48, 114)(49, 115)(50, 116)(51, 105)(52, 106)(53, 107)(54, 117)(55, 120)(56, 118)(57, 111)(58, 112)(59, 113)(60, 119)
	local type(s) :: { ( 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.1356
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 20 e = 60 f = 4
	degree seq :: [ 6^20 ]

E19.1361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 20, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y2^20, Y3^60 ]
Map::
	R = (1, 61, 2, 62, 4, 64)(3, 63, 6, 66, 9, 69)(5, 65, 7, 67, 10, 70)(8, 68, 12, 72, 15, 75)(11, 71, 13, 73, 16, 76)(14, 74, 18, 78, 21, 81)(17, 77, 19, 79, 22, 82)(20, 80, 24, 84, 27, 87)(23, 83, 25, 85, 28, 88)(26, 86, 30, 90, 33, 93)(29, 89, 31, 91, 34, 94)(32, 92, 36, 96, 39, 99)(35, 95, 37, 97, 40, 100)(38, 98, 42, 102, 45, 105)(41, 101, 43, 103, 46, 106)(44, 104, 48, 108, 51, 111)(47, 107, 49, 109, 52, 112)(50, 110, 54, 114, 57, 117)(53, 113, 55, 115, 58, 118)(56, 116, 59, 119, 60, 120)(121, 181, 123, 183, 128, 188, 134, 194, 140, 200, 146, 206, 152, 212, 158, 218, 164, 224, 170, 230, 176, 236, 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, 129, 189, 135, 195, 141, 201, 147, 207, 153, 213, 159, 219, 165, 225, 171, 231, 177, 237, 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, 129)(4, 122)(5, 130)(6, 123)(7, 125)(8, 135)(9, 126)(10, 127)(11, 136)(12, 128)(13, 131)(14, 141)(15, 132)(16, 133)(17, 142)(18, 134)(19, 137)(20, 147)(21, 138)(22, 139)(23, 148)(24, 140)(25, 143)(26, 153)(27, 144)(28, 145)(29, 154)(30, 146)(31, 149)(32, 159)(33, 150)(34, 151)(35, 160)(36, 152)(37, 155)(38, 165)(39, 156)(40, 157)(41, 166)(42, 158)(43, 161)(44, 171)(45, 162)(46, 163)(47, 172)(48, 164)(49, 167)(50, 177)(51, 168)(52, 169)(53, 178)(54, 170)(55, 173)(56, 180)(57, 174)(58, 175)(59, 176)(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, 120, 2, 120, 2, 120 ), ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ) }
Outer automorphisms :: reflexible
Dual of E19.1364
Graph:: bipartite
	v = 23 e = 120 f = 61
	degree seq :: [ 6^20, 40^3 ]

E19.1362 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 20, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^-3 * Y1^-3, (Y3^-1 * Y1^-1)^3, Y2^-18 * Y1^2, Y2^10 * Y1^-1 * Y2 * Y1^-7 * Y2, Y1^20 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 22, 82, 28, 88, 34, 94, 40, 100, 46, 106, 52, 112, 58, 118, 55, 115, 51, 111, 44, 104, 37, 97, 33, 93, 26, 86, 19, 79, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 13, 73, 18, 78, 24, 84, 30, 90, 36, 96, 42, 102, 48, 108, 54, 114, 60, 120, 57, 117, 50, 110, 43, 103, 39, 99, 32, 92, 25, 85, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 23, 83, 29, 89, 35, 95, 41, 101, 47, 107, 53, 113, 59, 119, 56, 116, 49, 109, 45, 105, 38, 98, 31, 91, 27, 87, 20, 80, 9, 69, 17, 77, 12, 72)(121, 181, 123, 183, 129, 189, 139, 199, 145, 205, 151, 211, 157, 217, 163, 223, 169, 229, 175, 235, 180, 240, 173, 233, 166, 226, 162, 222, 155, 215, 148, 208, 144, 204, 136, 196, 126, 186, 135, 195, 132, 192, 124, 184, 130, 190, 140, 200, 146, 206, 152, 212, 158, 218, 164, 224, 170, 230, 176, 236, 178, 238, 174, 234, 167, 227, 160, 220, 156, 216, 149, 209, 142, 202, 138, 198, 128, 188, 122, 182, 127, 187, 137, 197, 131, 191, 141, 201, 147, 207, 153, 213, 159, 219, 165, 225, 171, 231, 177, 237, 179, 239, 172, 232, 168, 228, 161, 221, 154, 214, 150, 210, 143, 203, 134, 194, 133, 193, 125, 185)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 133)(15, 132)(16, 126)(17, 131)(18, 128)(19, 145)(20, 146)(21, 147)(22, 138)(23, 134)(24, 136)(25, 151)(26, 152)(27, 153)(28, 144)(29, 142)(30, 143)(31, 157)(32, 158)(33, 159)(34, 150)(35, 148)(36, 149)(37, 163)(38, 164)(39, 165)(40, 156)(41, 154)(42, 155)(43, 169)(44, 170)(45, 171)(46, 162)(47, 160)(48, 161)(49, 175)(50, 176)(51, 177)(52, 168)(53, 166)(54, 167)(55, 180)(56, 178)(57, 179)(58, 174)(59, 172)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 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 E19.1363
Graph:: bipartite
	v = 4 e = 120 f = 80
	degree seq :: [ 40^3, 120 ]

E19.1363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 20, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y3^-1), Y2 * Y3^20, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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)^60 ]
Map::
	R = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)(121, 181, 122, 182, 124, 184)(123, 183, 126, 186, 129, 189)(125, 185, 127, 187, 130, 190)(128, 188, 132, 192, 135, 195)(131, 191, 133, 193, 136, 196)(134, 194, 138, 198, 141, 201)(137, 197, 139, 199, 142, 202)(140, 200, 144, 204, 147, 207)(143, 203, 145, 205, 148, 208)(146, 206, 150, 210, 153, 213)(149, 209, 151, 211, 154, 214)(152, 212, 156, 216, 159, 219)(155, 215, 157, 217, 160, 220)(158, 218, 162, 222, 165, 225)(161, 221, 163, 223, 166, 226)(164, 224, 168, 228, 171, 231)(167, 227, 169, 229, 172, 232)(170, 230, 174, 234, 177, 237)(173, 233, 175, 235, 178, 238)(176, 236, 179, 239, 180, 240)
	L = (1, 123)(2, 126)(3, 128)(4, 129)(5, 121)(6, 132)(7, 122)(8, 134)(9, 135)(10, 124)(11, 125)(12, 138)(13, 127)(14, 140)(15, 141)(16, 130)(17, 131)(18, 144)(19, 133)(20, 146)(21, 147)(22, 136)(23, 137)(24, 150)(25, 139)(26, 152)(27, 153)(28, 142)(29, 143)(30, 156)(31, 145)(32, 158)(33, 159)(34, 148)(35, 149)(36, 162)(37, 151)(38, 164)(39, 165)(40, 154)(41, 155)(42, 168)(43, 157)(44, 170)(45, 171)(46, 160)(47, 161)(48, 174)(49, 163)(50, 176)(51, 177)(52, 166)(53, 167)(54, 179)(55, 169)(56, 178)(57, 180)(58, 172)(59, 173)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 40, 120 ), ( 40, 120, 40, 120, 40, 120 ) }
Outer automorphisms :: reflexible
Dual of E19.1362
Graph:: simple bipartite
	v = 80 e = 120 f = 4
	degree seq :: [ 2^60, 6^20 ]

E19.1364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 20, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|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 * Y1^20, 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 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 12, 72, 18, 78, 24, 84, 30, 90, 36, 96, 42, 102, 48, 108, 54, 114, 57, 117, 51, 111, 45, 105, 39, 99, 33, 93, 27, 87, 21, 81, 15, 75, 9, 69, 3, 63, 7, 67, 13, 73, 19, 79, 25, 85, 31, 91, 37, 97, 43, 103, 49, 109, 55, 115, 60, 120, 59, 119, 53, 113, 47, 107, 41, 101, 35, 95, 29, 89, 23, 83, 17, 77, 11, 71, 5, 65, 8, 68, 14, 74, 20, 80, 26, 86, 32, 92, 38, 98, 44, 104, 50, 110, 56, 116, 58, 118, 52, 112, 46, 106, 40, 100, 34, 94, 28, 88, 22, 82, 16, 76, 10, 70, 4, 64)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 125)(4, 129)(5, 121)(6, 133)(7, 128)(8, 122)(9, 131)(10, 135)(11, 124)(12, 139)(13, 134)(14, 126)(15, 137)(16, 141)(17, 130)(18, 145)(19, 140)(20, 132)(21, 143)(22, 147)(23, 136)(24, 151)(25, 146)(26, 138)(27, 149)(28, 153)(29, 142)(30, 157)(31, 152)(32, 144)(33, 155)(34, 159)(35, 148)(36, 163)(37, 158)(38, 150)(39, 161)(40, 165)(41, 154)(42, 169)(43, 164)(44, 156)(45, 167)(46, 171)(47, 160)(48, 175)(49, 170)(50, 162)(51, 173)(52, 177)(53, 166)(54, 180)(55, 176)(56, 168)(57, 179)(58, 174)(59, 172)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 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, 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, 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 E19.1361
Graph:: bipartite
	v = 61 e = 120 f = 23
	degree seq :: [ 2^60, 120 ]

E19.1365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 20, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y2^-20 * 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 ]
Map::
	R = (1, 61, 2, 62, 4, 64)(3, 63, 6, 66, 9, 69)(5, 65, 7, 67, 10, 70)(8, 68, 12, 72, 15, 75)(11, 71, 13, 73, 16, 76)(14, 74, 18, 78, 21, 81)(17, 77, 19, 79, 22, 82)(20, 80, 24, 84, 27, 87)(23, 83, 25, 85, 28, 88)(26, 86, 30, 90, 33, 93)(29, 89, 31, 91, 34, 94)(32, 92, 36, 96, 39, 99)(35, 95, 37, 97, 40, 100)(38, 98, 42, 102, 45, 105)(41, 101, 43, 103, 46, 106)(44, 104, 48, 108, 51, 111)(47, 107, 49, 109, 52, 112)(50, 110, 54, 114, 57, 117)(53, 113, 55, 115, 58, 118)(56, 116, 60, 120, 59, 119)(121, 181, 123, 183, 128, 188, 134, 194, 140, 200, 146, 206, 152, 212, 158, 218, 164, 224, 170, 230, 176, 236, 175, 235, 169, 229, 163, 223, 157, 217, 151, 211, 145, 205, 139, 199, 133, 193, 127, 187, 122, 182, 126, 186, 132, 192, 138, 198, 144, 204, 150, 210, 156, 216, 162, 222, 168, 228, 174, 234, 180, 240, 178, 238, 172, 232, 166, 226, 160, 220, 154, 214, 148, 208, 142, 202, 136, 196, 130, 190, 124, 184, 129, 189, 135, 195, 141, 201, 147, 207, 153, 213, 159, 219, 165, 225, 171, 231, 177, 237, 179, 239, 173, 233, 167, 227, 161, 221, 155, 215, 149, 209, 143, 203, 137, 197, 131, 191, 125, 185)
	L = (1, 124)(2, 121)(3, 129)(4, 122)(5, 130)(6, 123)(7, 125)(8, 135)(9, 126)(10, 127)(11, 136)(12, 128)(13, 131)(14, 141)(15, 132)(16, 133)(17, 142)(18, 134)(19, 137)(20, 147)(21, 138)(22, 139)(23, 148)(24, 140)(25, 143)(26, 153)(27, 144)(28, 145)(29, 154)(30, 146)(31, 149)(32, 159)(33, 150)(34, 151)(35, 160)(36, 152)(37, 155)(38, 165)(39, 156)(40, 157)(41, 166)(42, 158)(43, 161)(44, 171)(45, 162)(46, 163)(47, 172)(48, 164)(49, 167)(50, 177)(51, 168)(52, 169)(53, 178)(54, 170)(55, 173)(56, 179)(57, 174)(58, 175)(59, 180)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E19.1366
Graph:: bipartite
	v = 21 e = 120 f = 63
	degree seq :: [ 6^20, 120 ]

E19.1366 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 20, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1 * Y3 * Y1^2, (R * Y2 * Y3^-1)^2, Y3^5 * Y1^-1 * Y3^2 * Y1^8 * Y3^-1 * Y1^-1, Y3^6 * Y1^-1 * Y3^2 * Y1^-10 * Y3, (Y3 * Y2^-1)^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 22, 82, 28, 88, 34, 94, 40, 100, 46, 106, 52, 112, 58, 118, 55, 115, 51, 111, 44, 104, 37, 97, 33, 93, 26, 86, 19, 79, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 13, 73, 18, 78, 24, 84, 30, 90, 36, 96, 42, 102, 48, 108, 54, 114, 60, 120, 57, 117, 50, 110, 43, 103, 39, 99, 32, 92, 25, 85, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 23, 83, 29, 89, 35, 95, 41, 101, 47, 107, 53, 113, 59, 119, 56, 116, 49, 109, 45, 105, 38, 98, 31, 91, 27, 87, 20, 80, 9, 69, 17, 77, 12, 72)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 133)(15, 132)(16, 126)(17, 131)(18, 128)(19, 145)(20, 146)(21, 147)(22, 138)(23, 134)(24, 136)(25, 151)(26, 152)(27, 153)(28, 144)(29, 142)(30, 143)(31, 157)(32, 158)(33, 159)(34, 150)(35, 148)(36, 149)(37, 163)(38, 164)(39, 165)(40, 156)(41, 154)(42, 155)(43, 169)(44, 170)(45, 171)(46, 162)(47, 160)(48, 161)(49, 175)(50, 176)(51, 177)(52, 168)(53, 166)(54, 167)(55, 180)(56, 178)(57, 179)(58, 174)(59, 172)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 6, 120 ), ( 6, 120, 6, 120, 6, 120, 6, 120, 6, 120, 6, 120, 6, 120, 6, 120, 6, 120, 6, 120, 6, 120, 6, 120, 6, 120, 6, 120, 6, 120, 6, 120, 6, 120, 6, 120, 6, 120, 6, 120 ) }
Outer automorphisms :: reflexible
Dual of E19.1365
Graph:: simple bipartite
	v = 63 e = 120 f = 21
	degree seq :: [ 2^60, 40^3 ]

E19.1367 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 21, 21})
Quotient :: edge
Aut^+ = C21 x C3 (small group id <63, 4>)
Aut   = (C21 x C3) : C2 (small group id <126, 15>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^21 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 56, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 61, 55, 49, 43, 37, 31, 25, 19, 13, 7)(4, 9, 15, 21, 27, 33, 39, 45, 51, 57, 62, 63, 58, 52, 46, 40, 34, 28, 22, 16, 10)(64, 65, 67)(66, 69, 72)(68, 70, 73)(71, 75, 78)(74, 76, 79)(77, 81, 84)(80, 82, 85)(83, 87, 90)(86, 88, 91)(89, 93, 96)(92, 94, 97)(95, 99, 102)(98, 100, 103)(101, 105, 108)(104, 106, 109)(107, 111, 114)(110, 112, 115)(113, 117, 120)(116, 118, 121)(119, 123, 125)(122, 124, 126)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 42^3 ), ( 42^21 ) }
Outer automorphisms :: reflexible
Dual of E19.1368
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 63 f = 3
	degree seq :: [ 3^21, 21^3 ]

E19.1368 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 21, 21})
Quotient :: loop
Aut^+ = C21 x C3 (small group id <63, 4>)
Aut   = (C21 x C3) : C2 (small group id <126, 15>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^21 ]
Map:: non-degenerate
	R = (1, 64, 3, 66, 8, 71, 14, 77, 20, 83, 26, 89, 32, 95, 38, 101, 44, 107, 50, 113, 56, 119, 59, 122, 53, 116, 47, 110, 41, 104, 35, 98, 29, 92, 23, 86, 17, 80, 11, 74, 5, 68)(2, 65, 6, 69, 12, 75, 18, 81, 24, 87, 30, 93, 36, 99, 42, 105, 48, 111, 54, 117, 60, 123, 61, 124, 55, 118, 49, 112, 43, 106, 37, 100, 31, 94, 25, 88, 19, 82, 13, 76, 7, 70)(4, 67, 9, 72, 15, 78, 21, 84, 27, 90, 33, 96, 39, 102, 45, 108, 51, 114, 57, 120, 62, 125, 63, 126, 58, 121, 52, 115, 46, 109, 40, 103, 34, 97, 28, 91, 22, 85, 16, 79, 10, 73)
	L = (1, 65)(2, 67)(3, 69)(4, 64)(5, 70)(6, 72)(7, 73)(8, 75)(9, 66)(10, 68)(11, 76)(12, 78)(13, 79)(14, 81)(15, 71)(16, 74)(17, 82)(18, 84)(19, 85)(20, 87)(21, 77)(22, 80)(23, 88)(24, 90)(25, 91)(26, 93)(27, 83)(28, 86)(29, 94)(30, 96)(31, 97)(32, 99)(33, 89)(34, 92)(35, 100)(36, 102)(37, 103)(38, 105)(39, 95)(40, 98)(41, 106)(42, 108)(43, 109)(44, 111)(45, 101)(46, 104)(47, 112)(48, 114)(49, 115)(50, 117)(51, 107)(52, 110)(53, 118)(54, 120)(55, 121)(56, 123)(57, 113)(58, 116)(59, 124)(60, 125)(61, 126)(62, 119)(63, 122)
	local type(s) :: { ( 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21 ) }
Outer automorphisms :: reflexible
Dual of E19.1367
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 63 f = 24
	degree seq :: [ 42^3 ]

E19.1369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 21, 21})
Quotient :: dipole
Aut^+ = C21 x C3 (small group id <63, 4>)
Aut   = (C21 x C3) : C2 (small group id <126, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y3^21, Y2^21 ]
Map::
	R = (1, 64, 2, 65, 4, 67)(3, 66, 6, 69, 9, 72)(5, 68, 7, 70, 10, 73)(8, 71, 12, 75, 15, 78)(11, 74, 13, 76, 16, 79)(14, 77, 18, 81, 21, 84)(17, 80, 19, 82, 22, 85)(20, 83, 24, 87, 27, 90)(23, 86, 25, 88, 28, 91)(26, 89, 30, 93, 33, 96)(29, 92, 31, 94, 34, 97)(32, 95, 36, 99, 39, 102)(35, 98, 37, 100, 40, 103)(38, 101, 42, 105, 45, 108)(41, 104, 43, 106, 46, 109)(44, 107, 48, 111, 51, 114)(47, 110, 49, 112, 52, 115)(50, 113, 54, 117, 57, 120)(53, 116, 55, 118, 58, 121)(56, 119, 60, 123, 62, 125)(59, 122, 61, 124, 63, 126)(127, 190, 129, 192, 134, 197, 140, 203, 146, 209, 152, 215, 158, 221, 164, 227, 170, 233, 176, 239, 182, 245, 185, 248, 179, 242, 173, 236, 167, 230, 161, 224, 155, 218, 149, 212, 143, 206, 137, 200, 131, 194)(128, 191, 132, 195, 138, 201, 144, 207, 150, 213, 156, 219, 162, 225, 168, 231, 174, 237, 180, 243, 186, 249, 187, 250, 181, 244, 175, 238, 169, 232, 163, 226, 157, 220, 151, 214, 145, 208, 139, 202, 133, 196)(130, 193, 135, 198, 141, 204, 147, 210, 153, 216, 159, 222, 165, 228, 171, 234, 177, 240, 183, 246, 188, 251, 189, 252, 184, 247, 178, 241, 172, 235, 166, 229, 160, 223, 154, 217, 148, 211, 142, 205, 136, 199)
	L = (1, 130)(2, 127)(3, 135)(4, 128)(5, 136)(6, 129)(7, 131)(8, 141)(9, 132)(10, 133)(11, 142)(12, 134)(13, 137)(14, 147)(15, 138)(16, 139)(17, 148)(18, 140)(19, 143)(20, 153)(21, 144)(22, 145)(23, 154)(24, 146)(25, 149)(26, 159)(27, 150)(28, 151)(29, 160)(30, 152)(31, 155)(32, 165)(33, 156)(34, 157)(35, 166)(36, 158)(37, 161)(38, 171)(39, 162)(40, 163)(41, 172)(42, 164)(43, 167)(44, 177)(45, 168)(46, 169)(47, 178)(48, 170)(49, 173)(50, 183)(51, 174)(52, 175)(53, 184)(54, 176)(55, 179)(56, 188)(57, 180)(58, 181)(59, 189)(60, 182)(61, 185)(62, 186)(63, 187)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 2, 42, 2, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ) }
Outer automorphisms :: reflexible
Dual of E19.1370
Graph:: bipartite
	v = 24 e = 126 f = 66
	degree seq :: [ 6^21, 42^3 ]

E19.1370 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 21, 21})
Quotient :: dipole
Aut^+ = C21 x C3 (small group id <63, 4>)
Aut   = (C21 x C3) : C2 (small group id <126, 15>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-21, Y1^21 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 12, 75, 18, 81, 24, 87, 30, 93, 36, 99, 42, 105, 48, 111, 54, 117, 58, 121, 52, 115, 46, 109, 40, 103, 34, 97, 28, 91, 22, 85, 16, 79, 10, 73, 4, 67)(3, 66, 7, 70, 13, 76, 19, 82, 25, 88, 31, 94, 37, 100, 43, 106, 49, 112, 55, 118, 60, 123, 62, 125, 57, 120, 51, 114, 45, 108, 39, 102, 33, 96, 27, 90, 21, 84, 15, 78, 9, 72)(5, 68, 8, 71, 14, 77, 20, 83, 26, 89, 32, 95, 38, 101, 44, 107, 50, 113, 56, 119, 61, 124, 63, 126, 59, 122, 53, 116, 47, 110, 41, 104, 35, 98, 29, 92, 23, 86, 17, 80, 11, 74)(127, 190)(128, 191)(129, 192)(130, 193)(131, 194)(132, 195)(133, 196)(134, 197)(135, 198)(136, 199)(137, 200)(138, 201)(139, 202)(140, 203)(141, 204)(142, 205)(143, 206)(144, 207)(145, 208)(146, 209)(147, 210)(148, 211)(149, 212)(150, 213)(151, 214)(152, 215)(153, 216)(154, 217)(155, 218)(156, 219)(157, 220)(158, 221)(159, 222)(160, 223)(161, 224)(162, 225)(163, 226)(164, 227)(165, 228)(166, 229)(167, 230)(168, 231)(169, 232)(170, 233)(171, 234)(172, 235)(173, 236)(174, 237)(175, 238)(176, 239)(177, 240)(178, 241)(179, 242)(180, 243)(181, 244)(182, 245)(183, 246)(184, 247)(185, 248)(186, 249)(187, 250)(188, 251)(189, 252)
	L = (1, 129)(2, 133)(3, 131)(4, 135)(5, 127)(6, 139)(7, 134)(8, 128)(9, 137)(10, 141)(11, 130)(12, 145)(13, 140)(14, 132)(15, 143)(16, 147)(17, 136)(18, 151)(19, 146)(20, 138)(21, 149)(22, 153)(23, 142)(24, 157)(25, 152)(26, 144)(27, 155)(28, 159)(29, 148)(30, 163)(31, 158)(32, 150)(33, 161)(34, 165)(35, 154)(36, 169)(37, 164)(38, 156)(39, 167)(40, 171)(41, 160)(42, 175)(43, 170)(44, 162)(45, 173)(46, 177)(47, 166)(48, 181)(49, 176)(50, 168)(51, 179)(52, 183)(53, 172)(54, 186)(55, 182)(56, 174)(57, 185)(58, 188)(59, 178)(60, 187)(61, 180)(62, 189)(63, 184)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 6, 42 ), ( 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42 ) }
Outer automorphisms :: reflexible
Dual of E19.1369
Graph:: simple bipartite
	v = 66 e = 126 f = 24
	degree seq :: [ 2^63, 42^3 ]

E19.1371 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 16})
Quotient :: edge
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^-3 * T1^2 * T2^-1, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1)^16 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 6, 17, 16, 5)(2, 7, 20, 13, 4, 12, 24, 8)(9, 25, 15, 28, 11, 27, 14, 26)(19, 29, 23, 32, 21, 31, 22, 30)(33, 41, 36, 44, 34, 43, 35, 42)(37, 45, 40, 48, 38, 47, 39, 46)(49, 57, 52, 60, 50, 59, 51, 58)(53, 61, 56, 64, 54, 63, 55, 62)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 84, 80, 88)(89, 97, 91, 98)(90, 99, 92, 100)(93, 101, 95, 102)(94, 103, 96, 104)(105, 113, 107, 114)(106, 115, 108, 116)(109, 117, 111, 118)(110, 119, 112, 120)(121, 127, 123, 125)(122, 128, 124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1379
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 64 f = 4
	degree seq :: [ 4^16, 8^8 ]

E19.1372 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 16})
Quotient :: edge
Aut^+ = C2 . ((C8 x C2) : C2) = C8 . (C4 x C2) (small group id <64, 43>)
Aut   = $<128, 925>$ (small group id <128, 925>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^2 * T1^-1 * T2^2 * T1, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 6, 17, 16, 5)(2, 7, 20, 13, 4, 12, 24, 8)(9, 25, 14, 28, 11, 27, 15, 26)(19, 29, 22, 32, 21, 31, 23, 30)(33, 41, 35, 44, 34, 43, 36, 42)(37, 45, 39, 48, 38, 47, 40, 46)(49, 57, 51, 60, 50, 59, 52, 58)(53, 61, 55, 64, 54, 63, 56, 62)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 88, 80, 84)(89, 97, 91, 98)(90, 99, 92, 100)(93, 101, 95, 102)(94, 103, 96, 104)(105, 113, 107, 114)(106, 115, 108, 116)(109, 117, 111, 118)(110, 119, 112, 120)(121, 127, 123, 125)(122, 126, 124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1380
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 64 f = 4
	degree seq :: [ 4^16, 8^8 ]

E19.1373 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 16})
Quotient :: edge
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^2 * T2 * T1^-2, (T2^-1 * T1^-1)^4, T1^8, (T2^3 * T1)^2, T2^6 * T1 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 25, 48, 55, 39, 19, 34, 29, 43, 59, 52, 33, 15, 5)(2, 7, 20, 41, 57, 46, 24, 36, 27, 14, 31, 50, 60, 44, 22, 8)(4, 11, 26, 49, 61, 45, 23, 9, 16, 35, 32, 51, 62, 47, 30, 13)(6, 17, 37, 53, 63, 56, 40, 28, 12, 21, 42, 58, 64, 54, 38, 18)(65, 66, 70, 80, 98, 91, 76, 68)(67, 73, 81, 100, 93, 77, 85, 72)(69, 75, 82, 71, 83, 99, 92, 78)(74, 88, 101, 94, 107, 86, 106, 87)(79, 95, 102, 90, 103, 84, 104, 96)(89, 111, 117, 108, 123, 109, 122, 110)(97, 115, 118, 114, 119, 113, 120, 105)(112, 124, 127, 125, 116, 121, 128, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1381
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.1374 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 16})
Quotient :: edge
Aut^+ = C2 . ((C8 x C2) : C2) = C8 . (C4 x C2) (small group id <64, 43>)
Aut   = $<128, 925>$ (small group id <128, 925>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^2, T1^-2 * T2 * T1 * T2 * T1^-1, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2, T1^-1 * T2^-2 * T1 * T2^-2, (T2 * T1^-1)^4, T2 * T1^-1 * T2^-7 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 46, 55, 39, 21, 36, 24, 42, 58, 52, 35, 17, 5)(2, 7, 22, 40, 56, 47, 31, 11, 30, 16, 34, 51, 60, 44, 26, 8)(4, 12, 32, 49, 61, 45, 27, 9, 18, 15, 33, 50, 62, 48, 29, 14)(6, 19, 37, 53, 63, 57, 41, 23, 13, 25, 43, 59, 64, 54, 38, 20)(65, 66, 70, 82, 100, 94, 77, 68)(67, 73, 89, 72, 88, 78, 83, 75)(69, 79, 87, 71, 85, 76, 84, 80)(74, 90, 101, 91, 106, 95, 107, 93)(81, 86, 102, 97, 103, 98, 105, 96)(92, 109, 123, 108, 122, 112, 117, 111)(99, 114, 121, 104, 119, 113, 118, 115)(110, 124, 127, 125, 116, 120, 128, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1382
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.1375 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 16})
Quotient :: edge
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-2 * T1 * T2^-2 * T1^-1, (T1^-2 * T2^-1)^2, (T1^-1 * T2 * T1^-1)^2, T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2, T1^-3 * T2^-2 * T1^-5 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 28, 14)(6, 18, 38, 19)(9, 26, 15, 27)(11, 29, 16, 30)(13, 32, 46, 25)(17, 36, 56, 37)(20, 41, 23, 42)(22, 43, 24, 44)(31, 47, 34, 48)(33, 51, 53, 49)(35, 54, 52, 55)(39, 59, 40, 60)(45, 61, 50, 62)(57, 63, 58, 64)(65, 66, 70, 81, 99, 117, 110, 92, 74, 85, 102, 120, 116, 97, 77, 68)(67, 73, 89, 109, 119, 103, 82, 80, 69, 79, 96, 114, 118, 104, 83, 75)(71, 84, 78, 98, 115, 121, 100, 88, 72, 87, 76, 95, 113, 122, 101, 86)(90, 105, 94, 108, 124, 128, 125, 112, 91, 106, 93, 107, 123, 127, 126, 111)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1377
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 64 f = 8
	degree seq :: [ 4^16, 16^4 ]

E19.1376 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 16})
Quotient :: edge
Aut^+ = C2 . ((C8 x C2) : C2) = C8 . (C4 x C2) (small group id <64, 43>)
Aut   = $<128, 925>$ (small group id <128, 925>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^-2 * T1^-1, T2 * T1^2 * T2^-1 * T1^2, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1, T1^-3 * T2^2 * T1^-5 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 28, 14)(6, 18, 38, 19)(9, 26, 15, 27)(11, 29, 16, 30)(13, 25, 46, 33)(17, 36, 56, 37)(20, 41, 23, 42)(22, 43, 24, 44)(31, 48, 34, 47)(32, 49, 53, 51)(35, 54, 50, 55)(39, 59, 40, 60)(45, 61, 52, 62)(57, 63, 58, 64)(65, 66, 70, 81, 99, 117, 110, 92, 74, 85, 102, 120, 114, 96, 77, 68)(67, 73, 89, 109, 119, 104, 83, 80, 69, 79, 97, 116, 118, 103, 82, 75)(71, 84, 76, 95, 113, 122, 101, 88, 72, 87, 78, 98, 115, 121, 100, 86)(90, 106, 93, 108, 123, 128, 126, 112, 91, 105, 94, 107, 124, 127, 125, 111)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1378
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 64 f = 8
	degree seq :: [ 4^16, 16^4 ]

E19.1377 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 16})
Quotient :: loop
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^-3 * T1^2 * T2^-1, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1)^16 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 18, 82, 6, 70, 17, 81, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 13, 77, 4, 68, 12, 76, 24, 88, 8, 72)(9, 73, 25, 89, 15, 79, 28, 92, 11, 75, 27, 91, 14, 78, 26, 90)(19, 83, 29, 93, 23, 87, 32, 96, 21, 85, 31, 95, 22, 86, 30, 94)(33, 97, 41, 105, 36, 100, 44, 108, 34, 98, 43, 107, 35, 99, 42, 106)(37, 101, 45, 109, 40, 104, 48, 112, 38, 102, 47, 111, 39, 103, 46, 110)(49, 113, 57, 121, 52, 116, 60, 124, 50, 114, 59, 123, 51, 115, 58, 122)(53, 117, 61, 125, 56, 120, 64, 128, 54, 118, 63, 127, 55, 119, 62, 126)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 84)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 88)(17, 75)(18, 79)(19, 76)(20, 80)(21, 71)(22, 77)(23, 72)(24, 74)(25, 97)(26, 99)(27, 98)(28, 100)(29, 101)(30, 103)(31, 102)(32, 104)(33, 91)(34, 89)(35, 92)(36, 90)(37, 95)(38, 93)(39, 96)(40, 94)(41, 113)(42, 115)(43, 114)(44, 116)(45, 117)(46, 119)(47, 118)(48, 120)(49, 107)(50, 105)(51, 108)(52, 106)(53, 111)(54, 109)(55, 112)(56, 110)(57, 127)(58, 128)(59, 125)(60, 126)(61, 121)(62, 122)(63, 123)(64, 124)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1375
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 20
	degree seq :: [ 16^8 ]

E19.1378 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 16})
Quotient :: loop
Aut^+ = C2 . ((C8 x C2) : C2) = C8 . (C4 x C2) (small group id <64, 43>)
Aut   = $<128, 925>$ (small group id <128, 925>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^2 * T1^-1 * T2^2 * T1, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 18, 82, 6, 70, 17, 81, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 13, 77, 4, 68, 12, 76, 24, 88, 8, 72)(9, 73, 25, 89, 14, 78, 28, 92, 11, 75, 27, 91, 15, 79, 26, 90)(19, 83, 29, 93, 22, 86, 32, 96, 21, 85, 31, 95, 23, 87, 30, 94)(33, 97, 41, 105, 35, 99, 44, 108, 34, 98, 43, 107, 36, 100, 42, 106)(37, 101, 45, 109, 39, 103, 48, 112, 38, 102, 47, 111, 40, 104, 46, 110)(49, 113, 57, 121, 51, 115, 60, 124, 50, 114, 59, 123, 52, 116, 58, 122)(53, 117, 61, 125, 55, 119, 64, 128, 54, 118, 63, 127, 56, 120, 62, 126)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 88)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 84)(17, 75)(18, 79)(19, 76)(20, 74)(21, 71)(22, 77)(23, 72)(24, 80)(25, 97)(26, 99)(27, 98)(28, 100)(29, 101)(30, 103)(31, 102)(32, 104)(33, 91)(34, 89)(35, 92)(36, 90)(37, 95)(38, 93)(39, 96)(40, 94)(41, 113)(42, 115)(43, 114)(44, 116)(45, 117)(46, 119)(47, 118)(48, 120)(49, 107)(50, 105)(51, 108)(52, 106)(53, 111)(54, 109)(55, 112)(56, 110)(57, 127)(58, 126)(59, 125)(60, 128)(61, 121)(62, 124)(63, 123)(64, 122)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1376
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 20
	degree seq :: [ 16^8 ]

E19.1379 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 16})
Quotient :: loop
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^2 * T2 * T1^-2, (T2^-1 * T1^-1)^4, T1^8, (T2^3 * T1)^2, T2^6 * T1 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 25, 89, 48, 112, 55, 119, 39, 103, 19, 83, 34, 98, 29, 93, 43, 107, 59, 123, 52, 116, 33, 97, 15, 79, 5, 69)(2, 66, 7, 71, 20, 84, 41, 105, 57, 121, 46, 110, 24, 88, 36, 100, 27, 91, 14, 78, 31, 95, 50, 114, 60, 124, 44, 108, 22, 86, 8, 72)(4, 68, 11, 75, 26, 90, 49, 113, 61, 125, 45, 109, 23, 87, 9, 73, 16, 80, 35, 99, 32, 96, 51, 115, 62, 126, 47, 111, 30, 94, 13, 77)(6, 70, 17, 81, 37, 101, 53, 117, 63, 127, 56, 120, 40, 104, 28, 92, 12, 76, 21, 85, 42, 106, 58, 122, 64, 128, 54, 118, 38, 102, 18, 82)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 75)(6, 80)(7, 83)(8, 67)(9, 81)(10, 88)(11, 82)(12, 68)(13, 85)(14, 69)(15, 95)(16, 98)(17, 100)(18, 71)(19, 99)(20, 104)(21, 72)(22, 106)(23, 74)(24, 101)(25, 111)(26, 103)(27, 76)(28, 78)(29, 77)(30, 107)(31, 102)(32, 79)(33, 115)(34, 91)(35, 92)(36, 93)(37, 94)(38, 90)(39, 84)(40, 96)(41, 97)(42, 87)(43, 86)(44, 123)(45, 122)(46, 89)(47, 117)(48, 124)(49, 120)(50, 119)(51, 118)(52, 121)(53, 108)(54, 114)(55, 113)(56, 105)(57, 128)(58, 110)(59, 109)(60, 127)(61, 116)(62, 112)(63, 125)(64, 126)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1371
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 24
	degree seq :: [ 32^4 ]

E19.1380 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 16})
Quotient :: loop
Aut^+ = C2 . ((C8 x C2) : C2) = C8 . (C4 x C2) (small group id <64, 43>)
Aut   = $<128, 925>$ (small group id <128, 925>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^2, T1^-2 * T2 * T1 * T2 * T1^-1, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2, T1^-1 * T2^-2 * T1 * T2^-2, (T2 * T1^-1)^4, T2 * T1^-1 * T2^-7 * T1^-1 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 28, 92, 46, 110, 55, 119, 39, 103, 21, 85, 36, 100, 24, 88, 42, 106, 58, 122, 52, 116, 35, 99, 17, 81, 5, 69)(2, 66, 7, 71, 22, 86, 40, 104, 56, 120, 47, 111, 31, 95, 11, 75, 30, 94, 16, 80, 34, 98, 51, 115, 60, 124, 44, 108, 26, 90, 8, 72)(4, 68, 12, 76, 32, 96, 49, 113, 61, 125, 45, 109, 27, 91, 9, 73, 18, 82, 15, 79, 33, 97, 50, 114, 62, 126, 48, 112, 29, 93, 14, 78)(6, 70, 19, 83, 37, 101, 53, 117, 63, 127, 57, 121, 41, 105, 23, 87, 13, 77, 25, 89, 43, 107, 59, 123, 64, 128, 54, 118, 38, 102, 20, 84)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 82)(7, 85)(8, 88)(9, 89)(10, 90)(11, 67)(12, 84)(13, 68)(14, 83)(15, 87)(16, 69)(17, 86)(18, 100)(19, 75)(20, 80)(21, 76)(22, 102)(23, 71)(24, 78)(25, 72)(26, 101)(27, 106)(28, 109)(29, 74)(30, 77)(31, 107)(32, 81)(33, 103)(34, 105)(35, 114)(36, 94)(37, 91)(38, 97)(39, 98)(40, 119)(41, 96)(42, 95)(43, 93)(44, 122)(45, 123)(46, 124)(47, 92)(48, 117)(49, 118)(50, 121)(51, 99)(52, 120)(53, 111)(54, 115)(55, 113)(56, 128)(57, 104)(58, 112)(59, 108)(60, 127)(61, 116)(62, 110)(63, 125)(64, 126)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1372
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 24
	degree seq :: [ 32^4 ]

E19.1381 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 16})
Quotient :: loop
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-2 * T1 * T2^-2 * T1^-1, (T1^-2 * T2^-1)^2, (T1^-1 * T2 * T1^-1)^2, T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2, T1^-3 * T2^-2 * T1^-5 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 21, 85, 8, 72)(4, 68, 12, 76, 28, 92, 14, 78)(6, 70, 18, 82, 38, 102, 19, 83)(9, 73, 26, 90, 15, 79, 27, 91)(11, 75, 29, 93, 16, 80, 30, 94)(13, 77, 32, 96, 46, 110, 25, 89)(17, 81, 36, 100, 56, 120, 37, 101)(20, 84, 41, 105, 23, 87, 42, 106)(22, 86, 43, 107, 24, 88, 44, 108)(31, 95, 47, 111, 34, 98, 48, 112)(33, 97, 51, 115, 53, 117, 49, 113)(35, 99, 54, 118, 52, 116, 55, 119)(39, 103, 59, 123, 40, 104, 60, 124)(45, 109, 61, 125, 50, 114, 62, 126)(57, 121, 63, 127, 58, 122, 64, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 81)(7, 84)(8, 87)(9, 89)(10, 85)(11, 67)(12, 95)(13, 68)(14, 98)(15, 96)(16, 69)(17, 99)(18, 80)(19, 75)(20, 78)(21, 102)(22, 71)(23, 76)(24, 72)(25, 109)(26, 105)(27, 106)(28, 74)(29, 107)(30, 108)(31, 113)(32, 114)(33, 77)(34, 115)(35, 117)(36, 88)(37, 86)(38, 120)(39, 82)(40, 83)(41, 94)(42, 93)(43, 123)(44, 124)(45, 119)(46, 92)(47, 90)(48, 91)(49, 122)(50, 118)(51, 121)(52, 97)(53, 110)(54, 104)(55, 103)(56, 116)(57, 100)(58, 101)(59, 127)(60, 128)(61, 112)(62, 111)(63, 126)(64, 125)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1373
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.1382 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 16})
Quotient :: loop
Aut^+ = C2 . ((C8 x C2) : C2) = C8 . (C4 x C2) (small group id <64, 43>)
Aut   = $<128, 925>$ (small group id <128, 925>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^-2 * T1^-1, T2 * T1^2 * T2^-1 * T1^2, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1, T1^-3 * T2^2 * T1^-5 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 21, 85, 8, 72)(4, 68, 12, 76, 28, 92, 14, 78)(6, 70, 18, 82, 38, 102, 19, 83)(9, 73, 26, 90, 15, 79, 27, 91)(11, 75, 29, 93, 16, 80, 30, 94)(13, 77, 25, 89, 46, 110, 33, 97)(17, 81, 36, 100, 56, 120, 37, 101)(20, 84, 41, 105, 23, 87, 42, 106)(22, 86, 43, 107, 24, 88, 44, 108)(31, 95, 48, 112, 34, 98, 47, 111)(32, 96, 49, 113, 53, 117, 51, 115)(35, 99, 54, 118, 50, 114, 55, 119)(39, 103, 59, 123, 40, 104, 60, 124)(45, 109, 61, 125, 52, 116, 62, 126)(57, 121, 63, 127, 58, 122, 64, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 81)(7, 84)(8, 87)(9, 89)(10, 85)(11, 67)(12, 95)(13, 68)(14, 98)(15, 97)(16, 69)(17, 99)(18, 75)(19, 80)(20, 76)(21, 102)(22, 71)(23, 78)(24, 72)(25, 109)(26, 106)(27, 105)(28, 74)(29, 108)(30, 107)(31, 113)(32, 77)(33, 116)(34, 115)(35, 117)(36, 86)(37, 88)(38, 120)(39, 82)(40, 83)(41, 94)(42, 93)(43, 124)(44, 123)(45, 119)(46, 92)(47, 90)(48, 91)(49, 122)(50, 96)(51, 121)(52, 118)(53, 110)(54, 103)(55, 104)(56, 114)(57, 100)(58, 101)(59, 128)(60, 127)(61, 111)(62, 112)(63, 125)(64, 126)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1374
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.1383 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, (Y3 * Y1^-1)^2, Y1^4, (R * Y1)^2, Y2^2 * Y3 * Y2^2 * Y1^-1, Y1 * Y2^4 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-2 * Y2 * Y1^-2, Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2 * Y1 * Y2)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 20, 84, 16, 80, 24, 88)(25, 89, 33, 97, 27, 91, 34, 98)(26, 90, 35, 99, 28, 92, 36, 100)(29, 93, 37, 101, 31, 95, 38, 102)(30, 94, 39, 103, 32, 96, 40, 104)(41, 105, 49, 113, 43, 107, 50, 114)(42, 106, 51, 115, 44, 108, 52, 116)(45, 109, 53, 117, 47, 111, 54, 118)(46, 110, 55, 119, 48, 112, 56, 120)(57, 121, 63, 127, 59, 123, 61, 125)(58, 122, 64, 128, 60, 124, 62, 126)(129, 193, 131, 195, 138, 202, 146, 210, 134, 198, 145, 209, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 141, 205, 132, 196, 140, 204, 152, 216, 136, 200)(137, 201, 153, 217, 143, 207, 156, 220, 139, 203, 155, 219, 142, 206, 154, 218)(147, 211, 157, 221, 151, 215, 160, 224, 149, 213, 159, 223, 150, 214, 158, 222)(161, 225, 169, 233, 164, 228, 172, 236, 162, 226, 171, 235, 163, 227, 170, 234)(165, 229, 173, 237, 168, 232, 176, 240, 166, 230, 175, 239, 167, 231, 174, 238)(177, 241, 185, 249, 180, 244, 188, 252, 178, 242, 187, 251, 179, 243, 186, 250)(181, 245, 189, 253, 184, 248, 192, 256, 182, 246, 191, 255, 183, 247, 190, 254)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 152)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 148)(17, 137)(18, 142)(19, 135)(20, 138)(21, 140)(22, 136)(23, 141)(24, 144)(25, 162)(26, 164)(27, 161)(28, 163)(29, 166)(30, 168)(31, 165)(32, 167)(33, 153)(34, 155)(35, 154)(36, 156)(37, 157)(38, 159)(39, 158)(40, 160)(41, 178)(42, 180)(43, 177)(44, 179)(45, 182)(46, 184)(47, 181)(48, 183)(49, 169)(50, 171)(51, 170)(52, 172)(53, 173)(54, 175)(55, 174)(56, 176)(57, 189)(58, 190)(59, 191)(60, 192)(61, 187)(62, 188)(63, 185)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E19.1389
Graph:: bipartite
	v = 24 e = 128 f = 68
	degree seq :: [ 8^16, 16^8 ]

E19.1384 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16})
Quotient :: dipole
Aut^+ = C2 . ((C8 x C2) : C2) = C8 . (C4 x C2) (small group id <64, 43>)
Aut   = $<128, 925>$ (small group id <128, 925>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y3^-2 * Y1, Y3^4, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^2 * Y2 * Y1^-2, Y3 * Y2^-4 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^2 * Y1^-1, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 24, 88, 16, 80, 20, 84)(25, 89, 33, 97, 27, 91, 34, 98)(26, 90, 35, 99, 28, 92, 36, 100)(29, 93, 37, 101, 31, 95, 38, 102)(30, 94, 39, 103, 32, 96, 40, 104)(41, 105, 49, 113, 43, 107, 50, 114)(42, 106, 51, 115, 44, 108, 52, 116)(45, 109, 53, 117, 47, 111, 54, 118)(46, 110, 55, 119, 48, 112, 56, 120)(57, 121, 63, 127, 59, 123, 61, 125)(58, 122, 62, 126, 60, 124, 64, 128)(129, 193, 131, 195, 138, 202, 146, 210, 134, 198, 145, 209, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 141, 205, 132, 196, 140, 204, 152, 216, 136, 200)(137, 201, 153, 217, 142, 206, 156, 220, 139, 203, 155, 219, 143, 207, 154, 218)(147, 211, 157, 221, 150, 214, 160, 224, 149, 213, 159, 223, 151, 215, 158, 222)(161, 225, 169, 233, 163, 227, 172, 236, 162, 226, 171, 235, 164, 228, 170, 234)(165, 229, 173, 237, 167, 231, 176, 240, 166, 230, 175, 239, 168, 232, 174, 238)(177, 241, 185, 249, 179, 243, 188, 252, 178, 242, 187, 251, 180, 244, 186, 250)(181, 245, 189, 253, 183, 247, 192, 256, 182, 246, 191, 255, 184, 248, 190, 254)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 148)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 152)(17, 137)(18, 142)(19, 135)(20, 144)(21, 140)(22, 136)(23, 141)(24, 138)(25, 162)(26, 164)(27, 161)(28, 163)(29, 166)(30, 168)(31, 165)(32, 167)(33, 153)(34, 155)(35, 154)(36, 156)(37, 157)(38, 159)(39, 158)(40, 160)(41, 178)(42, 180)(43, 177)(44, 179)(45, 182)(46, 184)(47, 181)(48, 183)(49, 169)(50, 171)(51, 170)(52, 172)(53, 173)(54, 175)(55, 174)(56, 176)(57, 189)(58, 192)(59, 191)(60, 190)(61, 187)(62, 186)(63, 185)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E19.1390
Graph:: bipartite
	v = 24 e = 128 f = 68
	degree seq :: [ 8^16, 16^8 ]

E19.1385 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|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, Y1^8, (Y3^-1 * Y1^-1)^4, (Y2^3 * Y1)^2, Y2^6 * Y1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 16, 80, 34, 98, 27, 91, 12, 76, 4, 68)(3, 67, 9, 73, 17, 81, 36, 100, 29, 93, 13, 77, 21, 85, 8, 72)(5, 69, 11, 75, 18, 82, 7, 71, 19, 83, 35, 99, 28, 92, 14, 78)(10, 74, 24, 88, 37, 101, 30, 94, 43, 107, 22, 86, 42, 106, 23, 87)(15, 79, 31, 95, 38, 102, 26, 90, 39, 103, 20, 84, 40, 104, 32, 96)(25, 89, 47, 111, 53, 117, 44, 108, 59, 123, 45, 109, 58, 122, 46, 110)(33, 97, 51, 115, 54, 118, 50, 114, 55, 119, 49, 113, 56, 120, 41, 105)(48, 112, 60, 124, 63, 127, 61, 125, 52, 116, 57, 121, 64, 128, 62, 126)(129, 193, 131, 195, 138, 202, 153, 217, 176, 240, 183, 247, 167, 231, 147, 211, 162, 226, 157, 221, 171, 235, 187, 251, 180, 244, 161, 225, 143, 207, 133, 197)(130, 194, 135, 199, 148, 212, 169, 233, 185, 249, 174, 238, 152, 216, 164, 228, 155, 219, 142, 206, 159, 223, 178, 242, 188, 252, 172, 236, 150, 214, 136, 200)(132, 196, 139, 203, 154, 218, 177, 241, 189, 253, 173, 237, 151, 215, 137, 201, 144, 208, 163, 227, 160, 224, 179, 243, 190, 254, 175, 239, 158, 222, 141, 205)(134, 198, 145, 209, 165, 229, 181, 245, 191, 255, 184, 248, 168, 232, 156, 220, 140, 204, 149, 213, 170, 234, 186, 250, 192, 256, 182, 246, 166, 230, 146, 210)
	L = (1, 131)(2, 135)(3, 138)(4, 139)(5, 129)(6, 145)(7, 148)(8, 130)(9, 144)(10, 153)(11, 154)(12, 149)(13, 132)(14, 159)(15, 133)(16, 163)(17, 165)(18, 134)(19, 162)(20, 169)(21, 170)(22, 136)(23, 137)(24, 164)(25, 176)(26, 177)(27, 142)(28, 140)(29, 171)(30, 141)(31, 178)(32, 179)(33, 143)(34, 157)(35, 160)(36, 155)(37, 181)(38, 146)(39, 147)(40, 156)(41, 185)(42, 186)(43, 187)(44, 150)(45, 151)(46, 152)(47, 158)(48, 183)(49, 189)(50, 188)(51, 190)(52, 161)(53, 191)(54, 166)(55, 167)(56, 168)(57, 174)(58, 192)(59, 180)(60, 172)(61, 173)(62, 175)(63, 184)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 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 E19.1387
Graph:: bipartite
	v = 12 e = 128 f = 80
	degree seq :: [ 16^8, 32^4 ]

E19.1386 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16})
Quotient :: dipole
Aut^+ = C2 . ((C8 x C2) : C2) = C8 . (C4 x C2) (small group id <64, 43>)
Aut   = $<128, 925>$ (small group id <128, 925>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^2 * Y1 * Y2^2 * Y1^-1, Y1^-2 * Y2 * Y1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y2^3 * Y1^-1 * Y2^-5 * Y1^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 18, 82, 36, 100, 30, 94, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 8, 72, 24, 88, 14, 78, 19, 83, 11, 75)(5, 69, 15, 79, 23, 87, 7, 71, 21, 85, 12, 76, 20, 84, 16, 80)(10, 74, 26, 90, 37, 101, 27, 91, 42, 106, 31, 95, 43, 107, 29, 93)(17, 81, 22, 86, 38, 102, 33, 97, 39, 103, 34, 98, 41, 105, 32, 96)(28, 92, 45, 109, 59, 123, 44, 108, 58, 122, 48, 112, 53, 117, 47, 111)(35, 99, 50, 114, 57, 121, 40, 104, 55, 119, 49, 113, 54, 118, 51, 115)(46, 110, 60, 124, 63, 127, 61, 125, 52, 116, 56, 120, 64, 128, 62, 126)(129, 193, 131, 195, 138, 202, 156, 220, 174, 238, 183, 247, 167, 231, 149, 213, 164, 228, 152, 216, 170, 234, 186, 250, 180, 244, 163, 227, 145, 209, 133, 197)(130, 194, 135, 199, 150, 214, 168, 232, 184, 248, 175, 239, 159, 223, 139, 203, 158, 222, 144, 208, 162, 226, 179, 243, 188, 252, 172, 236, 154, 218, 136, 200)(132, 196, 140, 204, 160, 224, 177, 241, 189, 253, 173, 237, 155, 219, 137, 201, 146, 210, 143, 207, 161, 225, 178, 242, 190, 254, 176, 240, 157, 221, 142, 206)(134, 198, 147, 211, 165, 229, 181, 245, 191, 255, 185, 249, 169, 233, 151, 215, 141, 205, 153, 217, 171, 235, 187, 251, 192, 256, 182, 246, 166, 230, 148, 212)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 147)(7, 150)(8, 130)(9, 146)(10, 156)(11, 158)(12, 160)(13, 153)(14, 132)(15, 161)(16, 162)(17, 133)(18, 143)(19, 165)(20, 134)(21, 164)(22, 168)(23, 141)(24, 170)(25, 171)(26, 136)(27, 137)(28, 174)(29, 142)(30, 144)(31, 139)(32, 177)(33, 178)(34, 179)(35, 145)(36, 152)(37, 181)(38, 148)(39, 149)(40, 184)(41, 151)(42, 186)(43, 187)(44, 154)(45, 155)(46, 183)(47, 159)(48, 157)(49, 189)(50, 190)(51, 188)(52, 163)(53, 191)(54, 166)(55, 167)(56, 175)(57, 169)(58, 180)(59, 192)(60, 172)(61, 173)(62, 176)(63, 185)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1388
Graph:: bipartite
	v = 12 e = 128 f = 80
	degree seq :: [ 16^8, 32^4 ]

E19.1387 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y3^2 * Y2)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-3 * Y2^-1 * Y3^4 * Y2^-1 * Y3^-1, (Y3^-1 * Y1^-1)^16 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 145, 209, 139, 203)(133, 197, 142, 206, 146, 210, 143, 207)(135, 199, 147, 211, 140, 204, 149, 213)(136, 200, 150, 214, 141, 205, 151, 215)(138, 202, 155, 219, 163, 227, 152, 216)(144, 208, 159, 223, 164, 228, 148, 212)(153, 217, 165, 229, 157, 221, 168, 232)(154, 218, 170, 234, 158, 222, 171, 235)(156, 220, 175, 239, 181, 245, 173, 237)(160, 224, 166, 230, 161, 225, 169, 233)(162, 226, 179, 243, 182, 246, 178, 242)(167, 231, 184, 248, 177, 241, 183, 247)(172, 236, 187, 251, 174, 238, 186, 250)(176, 240, 188, 252, 180, 244, 185, 249)(189, 253, 192, 256, 190, 254, 191, 255)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 153)(10, 156)(11, 157)(12, 159)(13, 132)(14, 160)(15, 161)(16, 133)(17, 163)(18, 134)(19, 165)(20, 167)(21, 168)(22, 170)(23, 171)(24, 136)(25, 143)(26, 137)(27, 141)(28, 176)(29, 142)(30, 139)(31, 177)(32, 178)(33, 179)(34, 144)(35, 181)(36, 146)(37, 151)(38, 147)(39, 185)(40, 150)(41, 149)(42, 186)(43, 187)(44, 152)(45, 154)(46, 155)(47, 158)(48, 182)(49, 188)(50, 189)(51, 190)(52, 162)(53, 180)(54, 164)(55, 166)(56, 169)(57, 174)(58, 191)(59, 192)(60, 172)(61, 173)(62, 175)(63, 183)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E19.1385
Graph:: simple bipartite
	v = 80 e = 128 f = 12
	degree seq :: [ 2^64, 8^16 ]

E19.1388 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16})
Quotient :: dipole
Aut^+ = C2 . ((C8 x C2) : C2) = C8 . (C4 x C2) (small group id <64, 43>)
Aut   = $<128, 925>$ (small group id <128, 925>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3^2 * Y2 * Y3, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, Y3^-2 * Y2^-1 * Y3^-2 * Y2, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-3 * Y2 * Y3^2 * Y2 * Y3^-3, (Y3^-1 * Y1^-1)^16 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 145, 209, 139, 203)(133, 197, 142, 206, 146, 210, 143, 207)(135, 199, 147, 211, 140, 204, 149, 213)(136, 200, 150, 214, 141, 205, 151, 215)(138, 202, 152, 216, 163, 227, 156, 220)(144, 208, 148, 212, 164, 228, 159, 223)(153, 217, 168, 232, 157, 221, 165, 229)(154, 218, 171, 235, 158, 222, 170, 234)(155, 219, 173, 237, 181, 245, 175, 239)(160, 224, 169, 233, 161, 225, 166, 230)(162, 226, 178, 242, 182, 246, 179, 243)(167, 231, 183, 247, 177, 241, 185, 249)(172, 236, 186, 250, 176, 240, 187, 251)(174, 238, 188, 252, 180, 244, 184, 248)(189, 253, 191, 255, 190, 254, 192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 153)(10, 155)(11, 157)(12, 159)(13, 132)(14, 160)(15, 161)(16, 133)(17, 163)(18, 134)(19, 165)(20, 167)(21, 168)(22, 170)(23, 171)(24, 136)(25, 142)(26, 137)(27, 174)(28, 141)(29, 143)(30, 139)(31, 177)(32, 178)(33, 179)(34, 144)(35, 181)(36, 146)(37, 150)(38, 147)(39, 184)(40, 151)(41, 149)(42, 186)(43, 187)(44, 152)(45, 154)(46, 182)(47, 158)(48, 156)(49, 188)(50, 190)(51, 189)(52, 162)(53, 180)(54, 164)(55, 166)(56, 176)(57, 169)(58, 192)(59, 191)(60, 172)(61, 173)(62, 175)(63, 183)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E19.1386
Graph:: simple bipartite
	v = 80 e = 128 f = 12
	degree seq :: [ 2^64, 8^16 ]

E19.1389 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (Y1 * Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, (Y3 * Y1^-2)^2, (Y3 * Y1^2)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^4, Y1^-2 * Y3 * Y1^2 * Y3^-1 * Y1^-4 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 53, 117, 46, 110, 28, 92, 10, 74, 21, 85, 38, 102, 56, 120, 52, 116, 33, 97, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 45, 109, 55, 119, 39, 103, 18, 82, 16, 80, 5, 69, 15, 79, 32, 96, 50, 114, 54, 118, 40, 104, 19, 83, 11, 75)(7, 71, 20, 84, 14, 78, 34, 98, 51, 115, 57, 121, 36, 100, 24, 88, 8, 72, 23, 87, 12, 76, 31, 95, 49, 113, 58, 122, 37, 101, 22, 86)(26, 90, 41, 105, 30, 94, 44, 108, 60, 124, 64, 128, 61, 125, 48, 112, 27, 91, 42, 106, 29, 93, 43, 107, 59, 123, 63, 127, 62, 126, 47, 111)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 154)(10, 133)(11, 157)(12, 156)(13, 160)(14, 132)(15, 155)(16, 158)(17, 164)(18, 166)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 141)(26, 143)(27, 137)(28, 142)(29, 144)(30, 139)(31, 175)(32, 174)(33, 179)(34, 176)(35, 182)(36, 184)(37, 145)(38, 147)(39, 187)(40, 188)(41, 151)(42, 148)(43, 152)(44, 150)(45, 189)(46, 153)(47, 162)(48, 159)(49, 161)(50, 190)(51, 181)(52, 183)(53, 177)(54, 180)(55, 163)(56, 165)(57, 191)(58, 192)(59, 168)(60, 167)(61, 178)(62, 173)(63, 186)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 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 E19.1383
Graph:: simple bipartite
	v = 68 e = 128 f = 24
	degree seq :: [ 2^64, 32^4 ]

E19.1390 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16})
Quotient :: dipole
Aut^+ = C2 . ((C8 x C2) : C2) = C8 . (C4 x C2) (small group id <64, 43>)
Aut   = $<128, 925>$ (small group id <128, 925>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3^-1 * Y1^-2 * Y3 * Y1^-2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^4, Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-4 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 53, 117, 46, 110, 28, 92, 10, 74, 21, 85, 38, 102, 56, 120, 50, 114, 32, 96, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 45, 109, 55, 119, 40, 104, 19, 83, 16, 80, 5, 69, 15, 79, 33, 97, 52, 116, 54, 118, 39, 103, 18, 82, 11, 75)(7, 71, 20, 84, 12, 76, 31, 95, 49, 113, 58, 122, 37, 101, 24, 88, 8, 72, 23, 87, 14, 78, 34, 98, 51, 115, 57, 121, 36, 100, 22, 86)(26, 90, 42, 106, 29, 93, 44, 108, 59, 123, 64, 128, 62, 126, 48, 112, 27, 91, 41, 105, 30, 94, 43, 107, 60, 124, 63, 127, 61, 125, 47, 111)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 154)(10, 133)(11, 157)(12, 156)(13, 153)(14, 132)(15, 155)(16, 158)(17, 164)(18, 166)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 174)(26, 143)(27, 137)(28, 142)(29, 144)(30, 139)(31, 176)(32, 177)(33, 141)(34, 175)(35, 182)(36, 184)(37, 145)(38, 147)(39, 187)(40, 188)(41, 151)(42, 148)(43, 152)(44, 150)(45, 189)(46, 161)(47, 159)(48, 162)(49, 181)(50, 183)(51, 160)(52, 190)(53, 179)(54, 178)(55, 163)(56, 165)(57, 191)(58, 192)(59, 168)(60, 167)(61, 180)(62, 173)(63, 186)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 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 E19.1384
Graph:: simple bipartite
	v = 68 e = 128 f = 24
	degree seq :: [ 2^64, 32^4 ]

E19.1391 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y1 * Y2^-2 * Y3^-1 * Y2^-2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * R * Y2^-2 * Y3^-1 * R * Y2^-1, Y2^6 * Y3 * Y2^-2 * Y1, (Y3 * Y2 * Y1 * Y2)^4 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 27, 91, 35, 99, 24, 88)(16, 80, 31, 95, 36, 100, 20, 84)(25, 89, 37, 101, 29, 93, 40, 104)(26, 90, 42, 106, 30, 94, 43, 107)(28, 92, 47, 111, 53, 117, 45, 109)(32, 96, 38, 102, 33, 97, 41, 105)(34, 98, 51, 115, 54, 118, 50, 114)(39, 103, 56, 120, 49, 113, 55, 119)(44, 108, 59, 123, 46, 110, 58, 122)(48, 112, 60, 124, 52, 116, 57, 121)(61, 125, 64, 128, 62, 126, 63, 127)(129, 193, 131, 195, 138, 202, 156, 220, 176, 240, 182, 246, 164, 228, 146, 210, 134, 198, 145, 209, 163, 227, 181, 245, 180, 244, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 185, 249, 174, 238, 155, 219, 141, 205, 132, 196, 140, 204, 159, 223, 177, 241, 188, 252, 172, 236, 152, 216, 136, 200)(137, 201, 153, 217, 143, 207, 161, 225, 179, 243, 190, 254, 175, 239, 158, 222, 139, 203, 157, 221, 142, 206, 160, 224, 178, 242, 189, 253, 173, 237, 154, 218)(147, 211, 165, 229, 151, 215, 171, 235, 187, 251, 192, 256, 184, 248, 169, 233, 149, 213, 168, 232, 150, 214, 170, 234, 186, 250, 191, 255, 183, 247, 166, 230)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 152)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 148)(17, 137)(18, 142)(19, 135)(20, 164)(21, 140)(22, 136)(23, 141)(24, 163)(25, 168)(26, 171)(27, 138)(28, 173)(29, 165)(30, 170)(31, 144)(32, 169)(33, 166)(34, 178)(35, 155)(36, 159)(37, 153)(38, 160)(39, 183)(40, 157)(41, 161)(42, 154)(43, 158)(44, 186)(45, 181)(46, 187)(47, 156)(48, 185)(49, 184)(50, 182)(51, 162)(52, 188)(53, 175)(54, 179)(55, 177)(56, 167)(57, 180)(58, 174)(59, 172)(60, 176)(61, 191)(62, 192)(63, 190)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 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 E19.1393
Graph:: bipartite
	v = 20 e = 128 f = 72
	degree seq :: [ 8^16, 32^4 ]

E19.1392 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16})
Quotient :: dipole
Aut^+ = C2 . ((C8 x C2) : C2) = C8 . (C4 x C2) (small group id <64, 43>)
Aut   = $<128, 925>$ (small group id <128, 925>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^2 * Y1^-2, Y3^4, Y1 * Y3^-2 * Y1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^-2 * Y1^-1 * Y2^-2 * Y1, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^6 * Y3^-1 * Y2^-2 * Y3^-1, Y2^3 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-3 * Y1^-1, (Y3 * Y2)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 24, 88, 35, 99, 28, 92)(16, 80, 20, 84, 36, 100, 31, 95)(25, 89, 40, 104, 29, 93, 37, 101)(26, 90, 43, 107, 30, 94, 42, 106)(27, 91, 45, 109, 53, 117, 47, 111)(32, 96, 41, 105, 33, 97, 38, 102)(34, 98, 50, 114, 54, 118, 51, 115)(39, 103, 55, 119, 49, 113, 57, 121)(44, 108, 58, 122, 48, 112, 59, 123)(46, 110, 60, 124, 52, 116, 56, 120)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 155, 219, 174, 238, 182, 246, 164, 228, 146, 210, 134, 198, 145, 209, 163, 227, 181, 245, 180, 244, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 184, 248, 176, 240, 156, 220, 141, 205, 132, 196, 140, 204, 159, 223, 177, 241, 188, 252, 172, 236, 152, 216, 136, 200)(137, 201, 153, 217, 142, 206, 160, 224, 178, 242, 190, 254, 175, 239, 158, 222, 139, 203, 157, 221, 143, 207, 161, 225, 179, 243, 189, 253, 173, 237, 154, 218)(147, 211, 165, 229, 150, 214, 170, 234, 186, 250, 192, 256, 185, 249, 169, 233, 149, 213, 168, 232, 151, 215, 171, 235, 187, 251, 191, 255, 183, 247, 166, 230)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 156)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 159)(17, 137)(18, 142)(19, 135)(20, 144)(21, 140)(22, 136)(23, 141)(24, 138)(25, 165)(26, 170)(27, 175)(28, 163)(29, 168)(30, 171)(31, 164)(32, 166)(33, 169)(34, 179)(35, 152)(36, 148)(37, 157)(38, 161)(39, 185)(40, 153)(41, 160)(42, 158)(43, 154)(44, 187)(45, 155)(46, 184)(47, 181)(48, 186)(49, 183)(50, 162)(51, 182)(52, 188)(53, 173)(54, 178)(55, 167)(56, 180)(57, 177)(58, 172)(59, 176)(60, 174)(61, 192)(62, 191)(63, 189)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 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 E19.1394
Graph:: bipartite
	v = 20 e = 128 f = 72
	degree seq :: [ 8^16, 32^4 ]

E19.1393 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 40>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y1^8, (Y3^-3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4, Y1^-1 * Y3^7 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 16, 80, 34, 98, 27, 91, 12, 76, 4, 68)(3, 67, 9, 73, 17, 81, 36, 100, 29, 93, 13, 77, 21, 85, 8, 72)(5, 69, 11, 75, 18, 82, 7, 71, 19, 83, 35, 99, 28, 92, 14, 78)(10, 74, 24, 88, 37, 101, 30, 94, 43, 107, 22, 86, 42, 106, 23, 87)(15, 79, 31, 95, 38, 102, 26, 90, 39, 103, 20, 84, 40, 104, 32, 96)(25, 89, 47, 111, 53, 117, 44, 108, 59, 123, 45, 109, 58, 122, 46, 110)(33, 97, 51, 115, 54, 118, 50, 114, 55, 119, 49, 113, 56, 120, 41, 105)(48, 112, 60, 124, 63, 127, 61, 125, 52, 116, 57, 121, 64, 128, 62, 126)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 139)(5, 129)(6, 145)(7, 148)(8, 130)(9, 144)(10, 153)(11, 154)(12, 149)(13, 132)(14, 159)(15, 133)(16, 163)(17, 165)(18, 134)(19, 162)(20, 169)(21, 170)(22, 136)(23, 137)(24, 164)(25, 176)(26, 177)(27, 142)(28, 140)(29, 171)(30, 141)(31, 178)(32, 179)(33, 143)(34, 157)(35, 160)(36, 155)(37, 181)(38, 146)(39, 147)(40, 156)(41, 185)(42, 186)(43, 187)(44, 150)(45, 151)(46, 152)(47, 158)(48, 183)(49, 189)(50, 188)(51, 190)(52, 161)(53, 191)(54, 166)(55, 167)(56, 168)(57, 174)(58, 192)(59, 180)(60, 172)(61, 173)(62, 175)(63, 184)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E19.1391
Graph:: simple bipartite
	v = 72 e = 128 f = 20
	degree seq :: [ 2^64, 16^8 ]

E19.1394 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16})
Quotient :: dipole
Aut^+ = C2 . ((C8 x C2) : C2) = C8 . (C4 x C2) (small group id <64, 43>)
Aut   = $<128, 925>$ (small group id <128, 925>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^3 * Y3^-1 * Y1^-1, Y3 * Y1^3 * Y3 * Y1^-1, Y3^2 * Y1 * Y3^2 * Y1^-1, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y1^8, Y1 * Y3^7 * Y1 * Y3^-1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 18, 82, 36, 100, 30, 94, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 8, 72, 24, 88, 14, 78, 19, 83, 11, 75)(5, 69, 15, 79, 23, 87, 7, 71, 21, 85, 12, 76, 20, 84, 16, 80)(10, 74, 26, 90, 37, 101, 27, 91, 42, 106, 31, 95, 43, 107, 29, 93)(17, 81, 22, 86, 38, 102, 33, 97, 39, 103, 34, 98, 41, 105, 32, 96)(28, 92, 45, 109, 59, 123, 44, 108, 58, 122, 48, 112, 53, 117, 47, 111)(35, 99, 50, 114, 57, 121, 40, 104, 55, 119, 49, 113, 54, 118, 51, 115)(46, 110, 60, 124, 63, 127, 61, 125, 52, 116, 56, 120, 64, 128, 62, 126)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 147)(7, 150)(8, 130)(9, 146)(10, 156)(11, 158)(12, 160)(13, 153)(14, 132)(15, 161)(16, 162)(17, 133)(18, 143)(19, 165)(20, 134)(21, 164)(22, 168)(23, 141)(24, 170)(25, 171)(26, 136)(27, 137)(28, 174)(29, 142)(30, 144)(31, 139)(32, 177)(33, 178)(34, 179)(35, 145)(36, 152)(37, 181)(38, 148)(39, 149)(40, 184)(41, 151)(42, 186)(43, 187)(44, 154)(45, 155)(46, 183)(47, 159)(48, 157)(49, 189)(50, 190)(51, 188)(52, 163)(53, 191)(54, 166)(55, 167)(56, 175)(57, 169)(58, 180)(59, 192)(60, 172)(61, 173)(62, 176)(63, 185)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E19.1392
Graph:: simple bipartite
	v = 72 e = 128 f = 20
	degree seq :: [ 2^64, 16^8 ]

E19.1395 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 8, 16})
Quotient :: edge
Aut^+ = C16 : C4 (small group id <64, 46>)
Aut   = C16 : C4 (small group id <64, 46>)
|r| :: 1
Presentation :: [ X1^4, X2 * X1 * X2^2 * X1^-1 * X2, X1^-1 * X2^-3 * X1^2 * X2^-1 * X1^-1, X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^-1 * X1^-1, X2^8, (X1, X2)^8 ]
Map:: non-degenerate
	R = (1, 2, 6, 4)(3, 9, 25, 11)(5, 14, 37, 15)(7, 19, 47, 21)(8, 22, 53, 23)(10, 24, 42, 29)(12, 32, 56, 34)(13, 35, 50, 36)(16, 20, 46, 33)(17, 41, 40, 43)(18, 44, 28, 45)(26, 55, 61, 49)(27, 58, 39, 48)(30, 54, 62, 52)(31, 60, 38, 51)(57, 63, 59, 64)(65, 67, 74, 92, 123, 104, 80, 69)(66, 71, 84, 114, 128, 120, 88, 72)(68, 76, 97, 117, 127, 111, 93, 77)(70, 81, 106, 101, 121, 89, 110, 82)(73, 90, 78, 102, 107, 126, 109, 91)(75, 94, 79, 103, 105, 125, 108, 95)(83, 112, 86, 118, 98, 124, 100, 113)(85, 115, 87, 119, 96, 122, 99, 116)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 4
	degree seq :: [ 4^16, 8^8 ]

E19.1396 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 8, 16})
Quotient :: edge
Aut^+ = C16 : C4 (small group id <64, 46>)
Aut   = C16 : C4 (small group id <64, 46>)
|r| :: 1
Presentation :: [ X1^-2 * X2 * X1^-2 * X2^-1, X2^3 * X1 * X2^-1 * X1^-1, (X2^-1 * X1)^4, (X2 * X1)^4, X2 * X1 * X2^-1 * X1 * X2^2 * X1^-2, X1^8, (X1 * X2 * X1^-1 * X2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 18, 42, 35, 13, 4)(3, 9, 27, 57, 61, 46, 19, 11)(5, 15, 36, 60, 62, 47, 20, 16)(7, 21, 12, 34, 58, 63, 43, 23)(8, 24, 14, 37, 59, 64, 44, 25)(10, 30, 45, 38, 56, 26, 50, 31)(17, 29, 48, 33, 52, 22, 51, 41)(28, 54, 32, 55, 39, 49, 40, 53)(65, 67, 74, 87, 117, 101, 116, 126, 106, 125, 120, 98, 119, 89, 81, 69)(66, 71, 86, 110, 103, 79, 94, 123, 99, 122, 93, 73, 92, 111, 90, 72)(68, 76, 97, 75, 96, 124, 95, 108, 82, 107, 105, 121, 104, 80, 102, 78)(70, 83, 109, 127, 118, 88, 115, 100, 77, 91, 114, 85, 113, 128, 112, 84)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: chiral
Dual of E19.1398
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 64 f = 16
	degree seq :: [ 8^8, 16^4 ]

E19.1397 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 8, 16})
Quotient :: edge
Aut^+ = C16 : C4 (small group id <64, 46>)
Aut   = C16 : C4 (small group id <64, 46>)
|r| :: 1
Presentation :: [ X2^4, X1^3 * X2 * X1^-1 * X2^-1, X1^-1 * X2 * X1 * X2^-1 * X1^-2, X1^-3 * X2^-1 * X1^-1 * X2 * X1^-2, X1 * X2^-1 * X1^-1 * X2^-2 * X1^-2 * X2^-1, X1^-1 * X2^2 * X1^-1 * X2 * X1 * X2 * X1^-1, (X2^-1 * X1^-1)^8 ]
Map:: non-degenerate
	R = (1, 2, 6, 17, 41, 39, 55, 62, 64, 63, 59, 37, 53, 31, 13, 4)(3, 9, 25, 57, 33, 12, 18, 43, 61, 52, 22, 7, 20, 47, 30, 11)(5, 15, 24, 8, 23, 46, 19, 45, 60, 42, 34, 58, 36, 14, 35, 16)(10, 27, 44, 38, 48, 29, 56, 32, 50, 21, 49, 26, 54, 40, 51, 28)(65, 67, 74, 69)(66, 71, 85, 72)(68, 76, 96, 78)(70, 82, 108, 83)(73, 90, 106, 81)(75, 93, 109, 95)(77, 86, 115, 98)(79, 101, 116, 102)(80, 103, 107, 104)(84, 112, 100, 105)(87, 117, 97, 118)(88, 119, 89, 120)(91, 122, 127, 121)(92, 110, 126, 111)(94, 113, 99, 123)(114, 124, 128, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 64 f = 8
	degree seq :: [ 4^16, 16^4 ]

E19.1398 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 8, 16})
Quotient :: loop
Aut^+ = C16 : C4 (small group id <64, 46>)
Aut   = C16 : C4 (small group id <64, 46>)
|r| :: 1
Presentation :: [ X1^4, X2 * X1 * X2^2 * X1^-1 * X2, X1^-1 * X2^-3 * X1^2 * X2^-1 * X1^-1, X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^-1 * X1^-1, X2^8, (X1, X2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 25, 89, 11, 75)(5, 69, 14, 78, 37, 101, 15, 79)(7, 71, 19, 83, 47, 111, 21, 85)(8, 72, 22, 86, 53, 117, 23, 87)(10, 74, 24, 88, 42, 106, 29, 93)(12, 76, 32, 96, 56, 120, 34, 98)(13, 77, 35, 99, 50, 114, 36, 100)(16, 80, 20, 84, 46, 110, 33, 97)(17, 81, 41, 105, 40, 104, 43, 107)(18, 82, 44, 108, 28, 92, 45, 109)(26, 90, 55, 119, 61, 125, 49, 113)(27, 91, 58, 122, 39, 103, 48, 112)(30, 94, 54, 118, 62, 126, 52, 116)(31, 95, 60, 124, 38, 102, 51, 115)(57, 121, 63, 127, 59, 123, 64, 128)
	L = (1, 67)(2, 71)(3, 74)(4, 76)(5, 65)(6, 81)(7, 84)(8, 66)(9, 90)(10, 92)(11, 94)(12, 97)(13, 68)(14, 102)(15, 103)(16, 69)(17, 106)(18, 70)(19, 112)(20, 114)(21, 115)(22, 118)(23, 119)(24, 72)(25, 110)(26, 78)(27, 73)(28, 123)(29, 77)(30, 79)(31, 75)(32, 122)(33, 117)(34, 124)(35, 116)(36, 113)(37, 121)(38, 107)(39, 105)(40, 80)(41, 125)(42, 101)(43, 126)(44, 95)(45, 91)(46, 82)(47, 93)(48, 86)(49, 83)(50, 128)(51, 87)(52, 85)(53, 127)(54, 98)(55, 96)(56, 88)(57, 89)(58, 99)(59, 104)(60, 100)(61, 108)(62, 109)(63, 111)(64, 120)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: chiral
Dual of E19.1396
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 12
	degree seq :: [ 8^16 ]

E19.1399 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 8, 16})
Quotient :: loop
Aut^+ = C16 : C4 (small group id <64, 46>)
Aut   = C16 : C4 (small group id <64, 46>)
|r| :: 1
Presentation :: [ X1^-2 * X2 * X1^-2 * X2^-1, X2^3 * X1 * X2^-1 * X1^-1, (X2^-1 * X1)^4, (X2 * X1)^4, X2 * X1 * X2^-1 * X1 * X2^2 * X1^-2, X1^8, (X1 * X2 * X1^-1 * X2)^4 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 6, 70, 18, 82, 42, 106, 35, 99, 13, 77, 4, 68)(3, 67, 9, 73, 27, 91, 57, 121, 61, 125, 46, 110, 19, 83, 11, 75)(5, 69, 15, 79, 36, 100, 60, 124, 62, 126, 47, 111, 20, 84, 16, 80)(7, 71, 21, 85, 12, 76, 34, 98, 58, 122, 63, 127, 43, 107, 23, 87)(8, 72, 24, 88, 14, 78, 37, 101, 59, 123, 64, 128, 44, 108, 25, 89)(10, 74, 30, 94, 45, 109, 38, 102, 56, 120, 26, 90, 50, 114, 31, 95)(17, 81, 29, 93, 48, 112, 33, 97, 52, 116, 22, 86, 51, 115, 41, 105)(28, 92, 54, 118, 32, 96, 55, 119, 39, 103, 49, 113, 40, 104, 53, 117)
	L = (1, 67)(2, 71)(3, 74)(4, 76)(5, 65)(6, 83)(7, 86)(8, 66)(9, 92)(10, 87)(11, 96)(12, 97)(13, 91)(14, 68)(15, 94)(16, 102)(17, 69)(18, 107)(19, 109)(20, 70)(21, 113)(22, 110)(23, 117)(24, 115)(25, 81)(26, 72)(27, 114)(28, 111)(29, 73)(30, 123)(31, 108)(32, 124)(33, 75)(34, 119)(35, 122)(36, 77)(37, 116)(38, 78)(39, 79)(40, 80)(41, 121)(42, 125)(43, 105)(44, 82)(45, 127)(46, 103)(47, 90)(48, 84)(49, 128)(50, 85)(51, 100)(52, 126)(53, 101)(54, 88)(55, 89)(56, 98)(57, 104)(58, 93)(59, 99)(60, 95)(61, 120)(62, 106)(63, 118)(64, 112)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 8 e = 64 f = 20
	degree seq :: [ 16^8 ]

E19.1400 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 8, 16})
Quotient :: loop
Aut^+ = C16 : C4 (small group id <64, 46>)
Aut   = C16 : C4 (small group id <64, 46>)
|r| :: 1
Presentation :: [ X2^4, X1^3 * X2 * X1^-1 * X2^-1, X1^-1 * X2 * X1 * X2^-1 * X1^-2, X1^-3 * X2^-1 * X1^-1 * X2 * X1^-2, X1 * X2^-1 * X1^-1 * X2^-2 * X1^-2 * X2^-1, X1^-1 * X2^2 * X1^-1 * X2 * X1 * X2 * X1^-1, (X2^-1 * X1^-1)^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 41, 105, 39, 103, 55, 119, 62, 126, 64, 128, 63, 127, 59, 123, 37, 101, 53, 117, 31, 95, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 57, 121, 33, 97, 12, 76, 18, 82, 43, 107, 61, 125, 52, 116, 22, 86, 7, 71, 20, 84, 47, 111, 30, 94, 11, 75)(5, 69, 15, 79, 24, 88, 8, 72, 23, 87, 46, 110, 19, 83, 45, 109, 60, 124, 42, 106, 34, 98, 58, 122, 36, 100, 14, 78, 35, 99, 16, 80)(10, 74, 27, 91, 44, 108, 38, 102, 48, 112, 29, 93, 56, 120, 32, 96, 50, 114, 21, 85, 49, 113, 26, 90, 54, 118, 40, 104, 51, 115, 28, 92)
	L = (1, 67)(2, 71)(3, 74)(4, 76)(5, 65)(6, 82)(7, 85)(8, 66)(9, 90)(10, 69)(11, 93)(12, 96)(13, 86)(14, 68)(15, 101)(16, 103)(17, 73)(18, 108)(19, 70)(20, 112)(21, 72)(22, 115)(23, 117)(24, 119)(25, 120)(26, 106)(27, 122)(28, 110)(29, 109)(30, 113)(31, 75)(32, 78)(33, 118)(34, 77)(35, 123)(36, 105)(37, 116)(38, 79)(39, 107)(40, 80)(41, 84)(42, 81)(43, 104)(44, 83)(45, 95)(46, 126)(47, 92)(48, 100)(49, 99)(50, 124)(51, 98)(52, 102)(53, 97)(54, 87)(55, 89)(56, 88)(57, 91)(58, 127)(59, 94)(60, 128)(61, 114)(62, 111)(63, 121)(64, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 4 e = 64 f = 24
	degree seq :: [ 32^4 ]

E19.1401 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = (C36 x C2) : C2 (small group id <144, 40>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, Y2 * Y3 * Y1^2, R * Y3 * R * Y2, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 74, 2, 78, 6, 77, 5, 73)(3, 81, 9, 76, 4, 82, 10, 75)(7, 83, 11, 80, 8, 84, 12, 79)(13, 89, 17, 86, 14, 90, 18, 85)(15, 91, 19, 88, 16, 92, 20, 87)(21, 97, 25, 94, 22, 98, 26, 93)(23, 99, 27, 96, 24, 100, 28, 95)(29, 105, 33, 102, 30, 106, 34, 101)(31, 123, 51, 104, 32, 124, 52, 103)(35, 127, 55, 110, 38, 128, 56, 107)(36, 129, 57, 109, 37, 130, 58, 108)(39, 131, 59, 112, 40, 132, 60, 111)(41, 133, 61, 114, 42, 134, 62, 113)(43, 135, 63, 116, 44, 136, 64, 115)(45, 137, 65, 118, 46, 138, 66, 117)(47, 139, 67, 120, 48, 140, 68, 119)(49, 141, 69, 122, 50, 142, 70, 121)(53, 143, 71, 126, 54, 144, 72, 125)
	L = (1, 3)(2, 7)(4, 6)(5, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 35)(34, 38)(36, 51)(37, 52)(39, 55)(40, 56)(41, 57)(42, 58)(43, 59)(44, 60)(45, 61)(46, 62)(47, 63)(48, 64)(49, 65)(50, 66)(53, 67)(54, 68)(69, 71)(70, 72)(73, 76)(74, 80)(75, 78)(77, 79)(81, 86)(82, 85)(83, 88)(84, 87)(89, 94)(90, 93)(91, 96)(92, 95)(97, 102)(98, 101)(99, 104)(100, 103)(105, 110)(106, 107)(108, 124)(109, 123)(111, 128)(112, 127)(113, 130)(114, 129)(115, 132)(116, 131)(117, 134)(118, 133)(119, 136)(120, 135)(121, 138)(122, 137)(125, 140)(126, 139)(141, 144)(142, 143)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.1402 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, Y1^4, R * Y3 * R * Y2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 74, 2, 77, 5, 76, 4, 73)(3, 79, 7, 82, 10, 80, 8, 75)(6, 83, 11, 81, 9, 84, 12, 78)(13, 89, 17, 86, 14, 90, 18, 85)(15, 91, 19, 88, 16, 92, 20, 87)(21, 97, 25, 94, 22, 98, 26, 93)(23, 99, 27, 96, 24, 100, 28, 95)(29, 105, 33, 102, 30, 106, 34, 101)(31, 136, 64, 104, 32, 135, 63, 103)(35, 126, 54, 111, 39, 125, 53, 107)(36, 123, 51, 110, 38, 124, 52, 108)(37, 132, 60, 116, 44, 131, 59, 109)(40, 134, 62, 115, 43, 133, 61, 112)(41, 117, 45, 114, 42, 118, 46, 113)(47, 140, 68, 120, 48, 138, 66, 119)(49, 141, 69, 122, 50, 142, 70, 121)(55, 143, 71, 128, 56, 144, 72, 127)(57, 137, 65, 130, 58, 139, 67, 129)
	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, 65)(34, 67)(35, 46)(36, 41)(37, 52)(38, 42)(39, 45)(40, 54)(43, 53)(44, 51)(47, 60)(48, 59)(49, 62)(50, 61)(55, 68)(56, 66)(57, 69)(58, 70)(63, 71)(64, 72)(73, 75)(74, 78)(76, 81)(77, 82)(79, 85)(80, 86)(83, 87)(84, 88)(89, 93)(90, 94)(91, 95)(92, 96)(97, 101)(98, 102)(99, 103)(100, 104)(105, 137)(106, 139)(107, 118)(108, 113)(109, 124)(110, 114)(111, 117)(112, 126)(115, 125)(116, 123)(119, 132)(120, 131)(121, 134)(122, 133)(127, 140)(128, 138)(129, 141)(130, 142)(135, 143)(136, 144)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.1403 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 74, 2, 77, 5, 76, 4, 73)(3, 79, 7, 82, 10, 80, 8, 75)(6, 83, 11, 81, 9, 84, 12, 78)(13, 89, 17, 86, 14, 90, 18, 85)(15, 91, 19, 88, 16, 92, 20, 87)(21, 97, 25, 94, 22, 98, 26, 93)(23, 99, 27, 96, 24, 100, 28, 95)(29, 105, 33, 102, 30, 106, 34, 101)(31, 123, 51, 104, 32, 124, 52, 103)(35, 127, 55, 110, 38, 128, 56, 107)(36, 129, 57, 109, 37, 130, 58, 108)(39, 131, 59, 112, 40, 132, 60, 111)(41, 133, 61, 114, 42, 134, 62, 113)(43, 135, 63, 116, 44, 136, 64, 115)(45, 137, 65, 118, 46, 138, 66, 117)(47, 139, 67, 120, 48, 140, 68, 119)(49, 141, 69, 122, 50, 142, 70, 121)(53, 144, 72, 126, 54, 143, 71, 125)
	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, 38)(34, 35)(36, 52)(37, 51)(39, 55)(40, 56)(41, 57)(42, 58)(43, 59)(44, 60)(45, 61)(46, 62)(47, 63)(48, 64)(49, 65)(50, 66)(53, 67)(54, 68)(69, 71)(70, 72)(73, 75)(74, 78)(76, 81)(77, 82)(79, 85)(80, 86)(83, 87)(84, 88)(89, 93)(90, 94)(91, 95)(92, 96)(97, 101)(98, 102)(99, 103)(100, 104)(105, 110)(106, 107)(108, 124)(109, 123)(111, 127)(112, 128)(113, 129)(114, 130)(115, 131)(116, 132)(117, 133)(118, 134)(119, 135)(120, 136)(121, 137)(122, 138)(125, 139)(126, 140)(141, 143)(142, 144)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.1404 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = (C36 x C2) : C2 (small group id <144, 40>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^-2 * Y2 * Y1, Y3^-1 * Y1 * Y2 * Y3^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 4, 76, 6, 78, 5, 77)(2, 74, 7, 79, 3, 75, 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, 41, 113, 34, 106, 42, 114)(35, 107, 61, 133, 40, 112, 62, 134)(36, 108, 65, 137, 37, 109, 66, 138)(38, 110, 56, 128, 39, 111, 55, 127)(43, 115, 60, 132, 44, 116, 59, 131)(45, 117, 64, 136, 46, 118, 63, 135)(47, 119, 68, 140, 48, 120, 67, 139)(49, 121, 70, 142, 50, 122, 69, 141)(51, 123, 72, 144, 52, 124, 71, 143)(53, 125, 57, 129, 54, 126, 58, 130)(145, 146)(147, 150)(148, 153)(149, 154)(151, 155)(152, 156)(157, 161)(158, 162)(159, 163)(160, 164)(165, 169)(166, 170)(167, 171)(168, 172)(173, 177)(174, 178)(175, 199)(176, 200)(179, 203)(180, 207)(181, 208)(182, 209)(183, 210)(184, 204)(185, 205)(186, 206)(187, 211)(188, 212)(189, 213)(190, 214)(191, 215)(192, 216)(193, 202)(194, 201)(195, 197)(196, 198)(217, 219)(218, 222)(220, 226)(221, 225)(223, 228)(224, 227)(229, 234)(230, 233)(231, 236)(232, 235)(237, 242)(238, 241)(239, 244)(240, 243)(245, 250)(246, 249)(247, 272)(248, 271)(251, 276)(252, 280)(253, 279)(254, 282)(255, 281)(256, 275)(257, 278)(258, 277)(259, 284)(260, 283)(261, 286)(262, 285)(263, 288)(264, 287)(265, 273)(266, 274)(267, 270)(268, 269)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1410
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.1405 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 3, 75, 8, 80, 4, 76)(2, 74, 5, 77, 11, 83, 6, 78)(7, 79, 13, 85, 9, 81, 14, 86)(10, 82, 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, 69, 141, 34, 106, 70, 142)(35, 107, 37, 109, 42, 114, 38, 110)(36, 108, 39, 111, 45, 117, 40, 112)(41, 113, 47, 119, 43, 115, 48, 120)(44, 116, 49, 121, 46, 118, 50, 122)(51, 123, 55, 127, 52, 124, 56, 128)(53, 125, 57, 129, 54, 126, 58, 130)(59, 131, 63, 135, 60, 132, 64, 136)(61, 133, 66, 138, 62, 134, 68, 140)(65, 137, 72, 144, 67, 139, 71, 143)(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, 209)(176, 211)(179, 192)(180, 194)(181, 183)(182, 184)(185, 200)(186, 191)(187, 199)(188, 202)(189, 193)(190, 201)(195, 208)(196, 207)(197, 212)(198, 210)(203, 215)(204, 216)(205, 214)(206, 213)(217, 218)(219, 223)(220, 225)(221, 226)(222, 228)(224, 227)(229, 233)(230, 234)(231, 235)(232, 236)(237, 241)(238, 242)(239, 243)(240, 244)(245, 249)(246, 250)(247, 281)(248, 283)(251, 264)(252, 266)(253, 255)(254, 256)(257, 272)(258, 263)(259, 271)(260, 274)(261, 265)(262, 273)(267, 280)(268, 279)(269, 284)(270, 282)(275, 287)(276, 288)(277, 286)(278, 285)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1411
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.1406 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 3, 75, 8, 80, 4, 76)(2, 74, 5, 77, 11, 83, 6, 78)(7, 79, 13, 85, 9, 81, 14, 86)(10, 82, 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, 38, 110, 34, 106, 35, 107)(36, 108, 51, 123, 41, 113, 52, 124)(37, 109, 58, 130, 39, 111, 55, 127)(40, 112, 61, 133, 42, 114, 56, 128)(43, 115, 59, 131, 44, 116, 57, 129)(45, 117, 62, 134, 46, 118, 60, 132)(47, 119, 64, 136, 48, 120, 63, 135)(49, 121, 66, 138, 50, 122, 65, 137)(53, 125, 68, 140, 54, 126, 67, 139)(69, 141, 71, 143, 70, 142, 72, 144)(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, 195)(176, 196)(179, 199)(180, 200)(181, 201)(182, 202)(183, 203)(184, 204)(185, 205)(186, 206)(187, 207)(188, 208)(189, 209)(190, 210)(191, 211)(192, 212)(193, 213)(194, 214)(197, 216)(198, 215)(217, 218)(219, 223)(220, 225)(221, 226)(222, 228)(224, 227)(229, 233)(230, 234)(231, 235)(232, 236)(237, 241)(238, 242)(239, 243)(240, 244)(245, 249)(246, 250)(247, 267)(248, 268)(251, 271)(252, 272)(253, 273)(254, 274)(255, 275)(256, 276)(257, 277)(258, 278)(259, 279)(260, 280)(261, 281)(262, 282)(263, 283)(264, 284)(265, 285)(266, 286)(269, 288)(270, 287)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1412
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.1407 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = C2 x C4 x D18 (small group id <144, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y1^4, (Y3 * Y1^-2)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 4, 76)(2, 74, 6, 78)(3, 75, 7, 79)(5, 77, 10, 82)(8, 80, 13, 85)(9, 81, 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, 36, 108)(34, 106, 37, 109)(35, 107, 54, 126)(38, 110, 61, 133)(39, 111, 53, 125)(40, 112, 57, 129)(41, 113, 58, 130)(42, 114, 60, 132)(43, 115, 64, 136)(44, 116, 65, 137)(45, 117, 68, 140)(46, 118, 69, 141)(47, 119, 71, 143)(48, 120, 70, 142)(49, 121, 66, 138)(50, 122, 72, 144)(51, 123, 59, 131)(52, 124, 67, 139)(55, 127, 62, 134)(56, 128, 63, 135)(145, 146, 149, 147)(148, 152, 154, 153)(150, 155, 151, 156)(157, 161, 158, 162)(159, 163, 160, 164)(165, 169, 166, 170)(167, 171, 168, 172)(173, 177, 174, 178)(175, 197, 176, 198)(179, 201, 183, 202)(180, 204, 181, 205)(182, 208, 186, 209)(184, 212, 185, 213)(187, 215, 188, 214)(189, 210, 190, 216)(191, 203, 192, 211)(193, 206, 194, 207)(195, 199, 196, 200)(217, 219, 221, 218)(220, 225, 226, 224)(222, 228, 223, 227)(229, 234, 230, 233)(231, 236, 232, 235)(237, 242, 238, 241)(239, 244, 240, 243)(245, 250, 246, 249)(247, 270, 248, 269)(251, 274, 255, 273)(252, 277, 253, 276)(254, 281, 258, 280)(256, 285, 257, 284)(259, 286, 260, 287)(261, 288, 262, 282)(263, 283, 264, 275)(265, 279, 266, 278)(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) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1413
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1408 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, (Y1^-1 * Y3 * Y2^-1)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75)(2, 74, 6, 78)(4, 76, 9, 81)(5, 77, 10, 82)(7, 79, 13, 85)(8, 80, 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, 35, 107)(34, 106, 38, 110)(36, 108, 51, 123)(37, 109, 52, 124)(39, 111, 55, 127)(40, 112, 56, 128)(41, 113, 57, 129)(42, 114, 58, 130)(43, 115, 59, 131)(44, 116, 60, 132)(45, 117, 61, 133)(46, 118, 62, 134)(47, 119, 63, 135)(48, 120, 64, 136)(49, 121, 65, 137)(50, 122, 66, 138)(53, 125, 67, 139)(54, 126, 68, 140)(69, 141, 71, 143)(70, 142, 72, 144)(145, 146, 149, 148)(147, 151, 154, 152)(150, 155, 153, 156)(157, 161, 158, 162)(159, 163, 160, 164)(165, 169, 166, 170)(167, 171, 168, 172)(173, 177, 174, 178)(175, 195, 176, 196)(179, 199, 182, 200)(180, 201, 181, 202)(183, 203, 184, 204)(185, 205, 186, 206)(187, 207, 188, 208)(189, 209, 190, 210)(191, 211, 192, 212)(193, 213, 194, 214)(197, 215, 198, 216)(217, 218, 221, 220)(219, 223, 226, 224)(222, 227, 225, 228)(229, 233, 230, 234)(231, 235, 232, 236)(237, 241, 238, 242)(239, 243, 240, 244)(245, 249, 246, 250)(247, 267, 248, 268)(251, 271, 254, 272)(252, 273, 253, 274)(255, 275, 256, 276)(257, 277, 258, 278)(259, 279, 260, 280)(261, 281, 262, 282)(263, 283, 264, 284)(265, 285, 266, 286)(269, 287, 270, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1414
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1409 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y2^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75)(2, 74, 6, 78)(4, 76, 9, 81)(5, 77, 10, 82)(7, 79, 13, 85)(8, 80, 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, 45, 117)(34, 106, 46, 118)(35, 107, 62, 134)(36, 108, 66, 138)(37, 109, 63, 135)(38, 110, 69, 141)(39, 111, 70, 142)(40, 112, 61, 133)(41, 113, 59, 131)(42, 114, 57, 129)(43, 115, 64, 136)(44, 116, 65, 137)(47, 119, 67, 139)(48, 120, 68, 140)(49, 121, 71, 143)(50, 122, 72, 144)(51, 123, 58, 130)(52, 124, 60, 132)(53, 125, 56, 128)(54, 126, 55, 127)(145, 146, 149, 148)(147, 151, 154, 152)(150, 155, 153, 156)(157, 161, 158, 162)(159, 163, 160, 164)(165, 169, 166, 170)(167, 171, 168, 172)(173, 177, 174, 178)(175, 201, 176, 203)(179, 205, 183, 208)(180, 209, 182, 207)(181, 211, 188, 212)(184, 215, 187, 216)(185, 214, 186, 206)(189, 213, 190, 210)(191, 202, 192, 204)(193, 200, 194, 199)(195, 198, 196, 197)(217, 218, 221, 220)(219, 223, 226, 224)(222, 227, 225, 228)(229, 233, 230, 234)(231, 235, 232, 236)(237, 241, 238, 242)(239, 243, 240, 244)(245, 249, 246, 250)(247, 273, 248, 275)(251, 277, 255, 280)(252, 281, 254, 279)(253, 283, 260, 284)(256, 287, 259, 288)(257, 286, 258, 278)(261, 285, 262, 282)(263, 274, 264, 276)(265, 272, 266, 271)(267, 270, 268, 269)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1415
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1410 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = (C36 x C2) : C2 (small group id <144, 40>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^-2 * Y2 * Y1, Y3^-1 * Y1 * Y2 * Y3^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 6, 78, 150, 222, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 3, 75, 147, 219, 8, 80, 152, 224)(9, 81, 153, 225, 13, 85, 157, 229, 10, 82, 154, 226, 14, 86, 158, 230)(11, 83, 155, 227, 15, 87, 159, 231, 12, 84, 156, 228, 16, 88, 160, 232)(17, 89, 161, 233, 21, 93, 165, 237, 18, 90, 162, 234, 22, 94, 166, 238)(19, 91, 163, 235, 23, 95, 167, 239, 20, 92, 164, 236, 24, 96, 168, 240)(25, 97, 169, 241, 29, 101, 173, 245, 26, 98, 170, 242, 30, 102, 174, 246)(27, 99, 171, 243, 31, 103, 175, 247, 28, 100, 172, 244, 32, 104, 176, 248)(33, 105, 177, 249, 61, 133, 205, 277, 34, 106, 178, 250, 63, 135, 207, 279)(35, 107, 179, 251, 60, 132, 204, 276, 40, 112, 184, 256, 59, 131, 203, 275)(36, 108, 180, 252, 58, 130, 202, 274, 37, 109, 181, 253, 57, 129, 201, 273)(38, 110, 182, 254, 64, 136, 208, 280, 39, 111, 183, 255, 62, 134, 206, 278)(41, 113, 185, 257, 66, 138, 210, 282, 42, 114, 186, 258, 65, 137, 209, 281)(43, 115, 187, 259, 53, 125, 197, 269, 44, 116, 188, 260, 54, 126, 198, 270)(45, 117, 189, 261, 51, 123, 195, 267, 46, 118, 190, 262, 52, 124, 196, 268)(47, 119, 191, 263, 68, 140, 212, 284, 48, 120, 192, 264, 67, 139, 211, 283)(49, 121, 193, 265, 70, 142, 214, 286, 50, 122, 194, 266, 69, 141, 213, 285)(55, 127, 199, 271, 72, 144, 216, 288, 56, 128, 200, 272, 71, 143, 215, 287)
	L = (1, 74)(2, 73)(3, 78)(4, 81)(5, 82)(6, 75)(7, 83)(8, 84)(9, 76)(10, 77)(11, 79)(12, 80)(13, 89)(14, 90)(15, 91)(16, 92)(17, 85)(18, 86)(19, 87)(20, 88)(21, 97)(22, 98)(23, 99)(24, 100)(25, 93)(26, 94)(27, 95)(28, 96)(29, 105)(30, 106)(31, 127)(32, 128)(33, 101)(34, 102)(35, 137)(36, 134)(37, 136)(38, 139)(39, 140)(40, 138)(41, 141)(42, 142)(43, 132)(44, 131)(45, 130)(46, 129)(47, 143)(48, 144)(49, 135)(50, 133)(51, 125)(52, 126)(53, 123)(54, 124)(55, 103)(56, 104)(57, 118)(58, 117)(59, 116)(60, 115)(61, 122)(62, 108)(63, 121)(64, 109)(65, 107)(66, 112)(67, 110)(68, 111)(69, 113)(70, 114)(71, 119)(72, 120)(145, 219)(146, 222)(147, 217)(148, 226)(149, 225)(150, 218)(151, 228)(152, 227)(153, 221)(154, 220)(155, 224)(156, 223)(157, 234)(158, 233)(159, 236)(160, 235)(161, 230)(162, 229)(163, 232)(164, 231)(165, 242)(166, 241)(167, 244)(168, 243)(169, 238)(170, 237)(171, 240)(172, 239)(173, 250)(174, 249)(175, 272)(176, 271)(177, 246)(178, 245)(179, 282)(180, 280)(181, 278)(182, 284)(183, 283)(184, 281)(185, 286)(186, 285)(187, 275)(188, 276)(189, 273)(190, 274)(191, 288)(192, 287)(193, 277)(194, 279)(195, 270)(196, 269)(197, 268)(198, 267)(199, 248)(200, 247)(201, 261)(202, 262)(203, 259)(204, 260)(205, 265)(206, 253)(207, 266)(208, 252)(209, 256)(210, 251)(211, 255)(212, 254)(213, 258)(214, 257)(215, 264)(216, 263)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1404
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 144 f = 90
	degree seq :: [ 16^18 ]

E19.1411 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 145, 217, 3, 75, 147, 219, 8, 80, 152, 224, 4, 76, 148, 220)(2, 74, 146, 218, 5, 77, 149, 221, 11, 83, 155, 227, 6, 78, 150, 222)(7, 79, 151, 223, 13, 85, 157, 229, 9, 81, 153, 225, 14, 86, 158, 230)(10, 82, 154, 226, 15, 87, 159, 231, 12, 84, 156, 228, 16, 88, 160, 232)(17, 89, 161, 233, 21, 93, 165, 237, 18, 90, 162, 234, 22, 94, 166, 238)(19, 91, 163, 235, 23, 95, 167, 239, 20, 92, 164, 236, 24, 96, 168, 240)(25, 97, 169, 241, 29, 101, 173, 245, 26, 98, 170, 242, 30, 102, 174, 246)(27, 99, 171, 243, 31, 103, 175, 247, 28, 100, 172, 244, 32, 104, 176, 248)(33, 105, 177, 249, 42, 114, 186, 258, 34, 106, 178, 250, 36, 108, 180, 252)(35, 107, 179, 251, 53, 125, 197, 269, 41, 113, 185, 257, 55, 127, 199, 271)(37, 109, 181, 253, 62, 134, 206, 278, 38, 110, 182, 254, 59, 131, 203, 275)(39, 111, 183, 255, 67, 139, 211, 283, 40, 112, 184, 256, 57, 129, 201, 273)(43, 115, 187, 259, 64, 136, 208, 280, 44, 116, 188, 260, 61, 133, 205, 277)(45, 117, 189, 261, 69, 141, 213, 285, 46, 118, 190, 262, 66, 138, 210, 282)(47, 119, 191, 263, 68, 140, 212, 284, 48, 120, 192, 264, 70, 142, 214, 286)(49, 121, 193, 265, 63, 135, 207, 279, 50, 122, 194, 266, 65, 137, 209, 281)(51, 123, 195, 267, 71, 143, 215, 287, 52, 124, 196, 268, 58, 130, 202, 274)(54, 126, 198, 270, 72, 144, 216, 288, 56, 128, 200, 272, 60, 132, 204, 276)
	L = (1, 74)(2, 73)(3, 79)(4, 81)(5, 82)(6, 84)(7, 75)(8, 83)(9, 76)(10, 77)(11, 80)(12, 78)(13, 89)(14, 90)(15, 91)(16, 92)(17, 85)(18, 86)(19, 87)(20, 88)(21, 97)(22, 98)(23, 99)(24, 100)(25, 93)(26, 94)(27, 95)(28, 96)(29, 105)(30, 106)(31, 125)(32, 127)(33, 101)(34, 102)(35, 129)(36, 131)(37, 133)(38, 136)(39, 138)(40, 141)(41, 139)(42, 134)(43, 142)(44, 140)(45, 137)(46, 135)(47, 130)(48, 143)(49, 132)(50, 144)(51, 126)(52, 128)(53, 103)(54, 123)(55, 104)(56, 124)(57, 107)(58, 119)(59, 108)(60, 121)(61, 109)(62, 114)(63, 118)(64, 110)(65, 117)(66, 111)(67, 113)(68, 116)(69, 112)(70, 115)(71, 120)(72, 122)(145, 218)(146, 217)(147, 223)(148, 225)(149, 226)(150, 228)(151, 219)(152, 227)(153, 220)(154, 221)(155, 224)(156, 222)(157, 233)(158, 234)(159, 235)(160, 236)(161, 229)(162, 230)(163, 231)(164, 232)(165, 241)(166, 242)(167, 243)(168, 244)(169, 237)(170, 238)(171, 239)(172, 240)(173, 249)(174, 250)(175, 269)(176, 271)(177, 245)(178, 246)(179, 273)(180, 275)(181, 277)(182, 280)(183, 282)(184, 285)(185, 283)(186, 278)(187, 286)(188, 284)(189, 281)(190, 279)(191, 274)(192, 287)(193, 276)(194, 288)(195, 270)(196, 272)(197, 247)(198, 267)(199, 248)(200, 268)(201, 251)(202, 263)(203, 252)(204, 265)(205, 253)(206, 258)(207, 262)(208, 254)(209, 261)(210, 255)(211, 257)(212, 260)(213, 256)(214, 259)(215, 264)(216, 266)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1405
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 144 f = 90
	degree seq :: [ 16^18 ]

E19.1412 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 145, 217, 3, 75, 147, 219, 8, 80, 152, 224, 4, 76, 148, 220)(2, 74, 146, 218, 5, 77, 149, 221, 11, 83, 155, 227, 6, 78, 150, 222)(7, 79, 151, 223, 13, 85, 157, 229, 9, 81, 153, 225, 14, 86, 158, 230)(10, 82, 154, 226, 15, 87, 159, 231, 12, 84, 156, 228, 16, 88, 160, 232)(17, 89, 161, 233, 21, 93, 165, 237, 18, 90, 162, 234, 22, 94, 166, 238)(19, 91, 163, 235, 23, 95, 167, 239, 20, 92, 164, 236, 24, 96, 168, 240)(25, 97, 169, 241, 29, 101, 173, 245, 26, 98, 170, 242, 30, 102, 174, 246)(27, 99, 171, 243, 31, 103, 175, 247, 28, 100, 172, 244, 32, 104, 176, 248)(33, 105, 177, 249, 44, 116, 188, 260, 34, 106, 178, 250, 46, 118, 190, 262)(35, 107, 179, 251, 62, 134, 206, 278, 42, 114, 186, 258, 64, 136, 208, 280)(36, 108, 180, 252, 66, 138, 210, 282, 45, 117, 189, 261, 68, 140, 212, 284)(37, 109, 181, 253, 63, 135, 207, 279, 38, 110, 182, 254, 65, 137, 209, 281)(39, 111, 183, 255, 67, 139, 211, 283, 40, 112, 184, 256, 61, 133, 205, 277)(41, 113, 185, 257, 59, 131, 203, 275, 43, 115, 187, 259, 57, 129, 201, 273)(47, 119, 191, 263, 70, 142, 214, 286, 48, 120, 192, 264, 69, 141, 213, 285)(49, 121, 193, 265, 72, 144, 216, 288, 50, 122, 194, 266, 71, 143, 215, 287)(51, 123, 195, 267, 60, 132, 204, 276, 52, 124, 196, 268, 58, 130, 202, 274)(53, 125, 197, 269, 56, 128, 200, 272, 54, 126, 198, 270, 55, 127, 199, 271)
	L = (1, 74)(2, 73)(3, 79)(4, 81)(5, 82)(6, 84)(7, 75)(8, 83)(9, 76)(10, 77)(11, 80)(12, 78)(13, 89)(14, 90)(15, 91)(16, 92)(17, 85)(18, 86)(19, 87)(20, 88)(21, 97)(22, 98)(23, 99)(24, 100)(25, 93)(26, 94)(27, 95)(28, 96)(29, 105)(30, 106)(31, 129)(32, 131)(33, 101)(34, 102)(35, 133)(36, 137)(37, 141)(38, 142)(39, 143)(40, 144)(41, 134)(42, 139)(43, 136)(44, 138)(45, 135)(46, 140)(47, 130)(48, 132)(49, 127)(50, 128)(51, 126)(52, 125)(53, 124)(54, 123)(55, 121)(56, 122)(57, 103)(58, 119)(59, 104)(60, 120)(61, 107)(62, 113)(63, 117)(64, 115)(65, 108)(66, 116)(67, 114)(68, 118)(69, 109)(70, 110)(71, 111)(72, 112)(145, 218)(146, 217)(147, 223)(148, 225)(149, 226)(150, 228)(151, 219)(152, 227)(153, 220)(154, 221)(155, 224)(156, 222)(157, 233)(158, 234)(159, 235)(160, 236)(161, 229)(162, 230)(163, 231)(164, 232)(165, 241)(166, 242)(167, 243)(168, 244)(169, 237)(170, 238)(171, 239)(172, 240)(173, 249)(174, 250)(175, 273)(176, 275)(177, 245)(178, 246)(179, 277)(180, 281)(181, 285)(182, 286)(183, 287)(184, 288)(185, 278)(186, 283)(187, 280)(188, 282)(189, 279)(190, 284)(191, 274)(192, 276)(193, 271)(194, 272)(195, 270)(196, 269)(197, 268)(198, 267)(199, 265)(200, 266)(201, 247)(202, 263)(203, 248)(204, 264)(205, 251)(206, 257)(207, 261)(208, 259)(209, 252)(210, 260)(211, 258)(212, 262)(213, 253)(214, 254)(215, 255)(216, 256)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1406
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 144 f = 90
	degree seq :: [ 16^18 ]

E19.1413 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = C2 x C4 x D18 (small group id <144, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y1^4, (Y3 * Y1^-2)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 6, 78, 150, 222)(3, 75, 147, 219, 7, 79, 151, 223)(5, 77, 149, 221, 10, 82, 154, 226)(8, 80, 152, 224, 13, 85, 157, 229)(9, 81, 153, 225, 14, 86, 158, 230)(11, 83, 155, 227, 15, 87, 159, 231)(12, 84, 156, 228, 16, 88, 160, 232)(17, 89, 161, 233, 21, 93, 165, 237)(18, 90, 162, 234, 22, 94, 166, 238)(19, 91, 163, 235, 23, 95, 167, 239)(20, 92, 164, 236, 24, 96, 168, 240)(25, 97, 169, 241, 29, 101, 173, 245)(26, 98, 170, 242, 30, 102, 174, 246)(27, 99, 171, 243, 31, 103, 175, 247)(28, 100, 172, 244, 32, 104, 176, 248)(33, 105, 177, 249, 53, 125, 197, 269)(34, 106, 178, 250, 54, 126, 198, 270)(35, 107, 179, 251, 55, 127, 199, 271)(36, 108, 180, 252, 56, 128, 200, 272)(37, 109, 181, 253, 57, 129, 201, 273)(38, 110, 182, 254, 58, 130, 202, 274)(39, 111, 183, 255, 59, 131, 203, 275)(40, 112, 184, 256, 60, 132, 204, 276)(41, 113, 185, 257, 61, 133, 205, 277)(42, 114, 186, 258, 62, 134, 206, 278)(43, 115, 187, 259, 63, 135, 207, 279)(44, 116, 188, 260, 64, 136, 208, 280)(45, 117, 189, 261, 65, 137, 209, 281)(46, 118, 190, 262, 66, 138, 210, 282)(47, 119, 191, 263, 67, 139, 211, 283)(48, 120, 192, 264, 68, 140, 212, 284)(49, 121, 193, 265, 69, 141, 213, 285)(50, 122, 194, 266, 70, 142, 214, 286)(51, 123, 195, 267, 71, 143, 215, 287)(52, 124, 196, 268, 72, 144, 216, 288)
	L = (1, 74)(2, 77)(3, 73)(4, 80)(5, 75)(6, 83)(7, 84)(8, 82)(9, 76)(10, 81)(11, 79)(12, 78)(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, 107)(32, 109)(33, 102)(34, 101)(35, 104)(36, 126)(37, 103)(38, 129)(39, 127)(40, 125)(41, 132)(42, 128)(43, 131)(44, 130)(45, 134)(46, 133)(47, 136)(48, 135)(49, 138)(50, 137)(51, 140)(52, 139)(53, 108)(54, 112)(55, 110)(56, 113)(57, 111)(58, 115)(59, 116)(60, 114)(61, 117)(62, 118)(63, 119)(64, 120)(65, 121)(66, 122)(67, 123)(68, 124)(69, 143)(70, 144)(71, 142)(72, 141)(145, 219)(146, 217)(147, 221)(148, 225)(149, 218)(150, 228)(151, 227)(152, 220)(153, 226)(154, 224)(155, 222)(156, 223)(157, 234)(158, 233)(159, 236)(160, 235)(161, 229)(162, 230)(163, 231)(164, 232)(165, 242)(166, 241)(167, 244)(168, 243)(169, 237)(170, 238)(171, 239)(172, 240)(173, 250)(174, 249)(175, 253)(176, 251)(177, 245)(178, 246)(179, 247)(180, 269)(181, 248)(182, 271)(183, 273)(184, 270)(185, 272)(186, 276)(187, 274)(188, 275)(189, 277)(190, 278)(191, 279)(192, 280)(193, 281)(194, 282)(195, 283)(196, 284)(197, 256)(198, 252)(199, 255)(200, 258)(201, 254)(202, 260)(203, 259)(204, 257)(205, 262)(206, 261)(207, 264)(208, 263)(209, 266)(210, 265)(211, 268)(212, 267)(213, 288)(214, 287)(215, 285)(216, 286)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1407
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.1414 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, (Y1^-1 * Y3 * Y2^-1)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 3, 75, 147, 219)(2, 74, 146, 218, 6, 78, 150, 222)(4, 76, 148, 220, 9, 81, 153, 225)(5, 77, 149, 221, 10, 82, 154, 226)(7, 79, 151, 223, 13, 85, 157, 229)(8, 80, 152, 224, 14, 86, 158, 230)(11, 83, 155, 227, 15, 87, 159, 231)(12, 84, 156, 228, 16, 88, 160, 232)(17, 89, 161, 233, 21, 93, 165, 237)(18, 90, 162, 234, 22, 94, 166, 238)(19, 91, 163, 235, 23, 95, 167, 239)(20, 92, 164, 236, 24, 96, 168, 240)(25, 97, 169, 241, 29, 101, 173, 245)(26, 98, 170, 242, 30, 102, 174, 246)(27, 99, 171, 243, 31, 103, 175, 247)(28, 100, 172, 244, 32, 104, 176, 248)(33, 105, 177, 249, 57, 129, 201, 273)(34, 106, 178, 250, 59, 131, 203, 275)(35, 107, 179, 251, 62, 134, 206, 278)(36, 108, 180, 252, 66, 138, 210, 282)(37, 109, 181, 253, 63, 135, 207, 279)(38, 110, 182, 254, 69, 141, 213, 285)(39, 111, 183, 255, 70, 142, 214, 286)(40, 112, 184, 256, 61, 133, 205, 277)(41, 113, 185, 257, 71, 143, 215, 287)(42, 114, 186, 258, 72, 144, 216, 288)(43, 115, 187, 259, 64, 136, 208, 280)(44, 116, 188, 260, 65, 137, 209, 281)(45, 117, 189, 261, 60, 132, 204, 276)(46, 118, 190, 262, 58, 130, 202, 274)(47, 119, 191, 263, 67, 139, 211, 283)(48, 120, 192, 264, 68, 140, 212, 284)(49, 121, 193, 265, 56, 128, 200, 272)(50, 122, 194, 266, 55, 127, 199, 271)(51, 123, 195, 267, 53, 125, 197, 269)(52, 124, 196, 268, 54, 126, 198, 270)
	L = (1, 74)(2, 77)(3, 79)(4, 73)(5, 76)(6, 83)(7, 82)(8, 75)(9, 84)(10, 80)(11, 81)(12, 78)(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, 137)(37, 139)(38, 135)(39, 136)(40, 131)(41, 142)(42, 134)(43, 129)(44, 140)(45, 141)(46, 138)(47, 104)(48, 103)(49, 144)(50, 143)(51, 130)(52, 132)(53, 127)(54, 128)(55, 126)(56, 125)(57, 112)(58, 124)(59, 115)(60, 123)(61, 111)(62, 113)(63, 108)(64, 107)(65, 110)(66, 117)(67, 116)(68, 109)(69, 118)(70, 114)(71, 121)(72, 122)(145, 218)(146, 221)(147, 223)(148, 217)(149, 220)(150, 227)(151, 226)(152, 219)(153, 228)(154, 224)(155, 225)(156, 222)(157, 233)(158, 234)(159, 235)(160, 236)(161, 230)(162, 229)(163, 232)(164, 231)(165, 241)(166, 242)(167, 243)(168, 244)(169, 238)(170, 237)(171, 240)(172, 239)(173, 249)(174, 250)(175, 263)(176, 264)(177, 246)(178, 245)(179, 277)(180, 281)(181, 283)(182, 279)(183, 280)(184, 275)(185, 286)(186, 278)(187, 273)(188, 284)(189, 285)(190, 282)(191, 248)(192, 247)(193, 288)(194, 287)(195, 274)(196, 276)(197, 271)(198, 272)(199, 270)(200, 269)(201, 256)(202, 268)(203, 259)(204, 267)(205, 255)(206, 257)(207, 252)(208, 251)(209, 254)(210, 261)(211, 260)(212, 253)(213, 262)(214, 258)(215, 265)(216, 266)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1408
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.1415 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y2^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 3, 75, 147, 219)(2, 74, 146, 218, 6, 78, 150, 222)(4, 76, 148, 220, 9, 81, 153, 225)(5, 77, 149, 221, 10, 82, 154, 226)(7, 79, 151, 223, 13, 85, 157, 229)(8, 80, 152, 224, 14, 86, 158, 230)(11, 83, 155, 227, 15, 87, 159, 231)(12, 84, 156, 228, 16, 88, 160, 232)(17, 89, 161, 233, 21, 93, 165, 237)(18, 90, 162, 234, 22, 94, 166, 238)(19, 91, 163, 235, 23, 95, 167, 239)(20, 92, 164, 236, 24, 96, 168, 240)(25, 97, 169, 241, 29, 101, 173, 245)(26, 98, 170, 242, 30, 102, 174, 246)(27, 99, 171, 243, 31, 103, 175, 247)(28, 100, 172, 244, 32, 104, 176, 248)(33, 105, 177, 249, 38, 110, 182, 254)(34, 106, 178, 250, 35, 107, 179, 251)(36, 108, 180, 252, 52, 124, 196, 268)(37, 109, 181, 253, 51, 123, 195, 267)(39, 111, 183, 255, 55, 127, 199, 271)(40, 112, 184, 256, 56, 128, 200, 272)(41, 113, 185, 257, 57, 129, 201, 273)(42, 114, 186, 258, 58, 130, 202, 274)(43, 115, 187, 259, 59, 131, 203, 275)(44, 116, 188, 260, 60, 132, 204, 276)(45, 117, 189, 261, 61, 133, 205, 277)(46, 118, 190, 262, 62, 134, 206, 278)(47, 119, 191, 263, 63, 135, 207, 279)(48, 120, 192, 264, 64, 136, 208, 280)(49, 121, 193, 265, 65, 137, 209, 281)(50, 122, 194, 266, 66, 138, 210, 282)(53, 125, 197, 269, 67, 139, 211, 283)(54, 126, 198, 270, 68, 140, 212, 284)(69, 141, 213, 285, 71, 143, 215, 287)(70, 142, 214, 286, 72, 144, 216, 288)
	L = (1, 74)(2, 77)(3, 79)(4, 73)(5, 76)(6, 83)(7, 82)(8, 75)(9, 84)(10, 80)(11, 81)(12, 78)(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, 123)(32, 124)(33, 102)(34, 101)(35, 127)(36, 129)(37, 130)(38, 128)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 104)(52, 103)(53, 144)(54, 143)(55, 110)(56, 107)(57, 109)(58, 108)(59, 112)(60, 111)(61, 114)(62, 113)(63, 116)(64, 115)(65, 118)(66, 117)(67, 120)(68, 119)(69, 122)(70, 121)(71, 125)(72, 126)(145, 218)(146, 221)(147, 223)(148, 217)(149, 220)(150, 227)(151, 226)(152, 219)(153, 228)(154, 224)(155, 225)(156, 222)(157, 233)(158, 234)(159, 235)(160, 236)(161, 230)(162, 229)(163, 232)(164, 231)(165, 241)(166, 242)(167, 243)(168, 244)(169, 238)(170, 237)(171, 240)(172, 239)(173, 249)(174, 250)(175, 267)(176, 268)(177, 246)(178, 245)(179, 271)(180, 273)(181, 274)(182, 272)(183, 275)(184, 276)(185, 277)(186, 278)(187, 279)(188, 280)(189, 281)(190, 282)(191, 283)(192, 284)(193, 285)(194, 286)(195, 248)(196, 247)(197, 288)(198, 287)(199, 254)(200, 251)(201, 253)(202, 252)(203, 256)(204, 255)(205, 258)(206, 257)(207, 260)(208, 259)(209, 262)(210, 261)(211, 264)(212, 263)(213, 266)(214, 265)(215, 269)(216, 270)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1409
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.1416 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 10, 82)(6, 78, 12, 84)(8, 80, 11, 83)(13, 85, 17, 89)(14, 86, 18, 90)(15, 87, 19, 91)(16, 88, 20, 92)(21, 93, 25, 97)(22, 94, 26, 98)(23, 95, 27, 99)(24, 96, 28, 100)(29, 101, 33, 105)(30, 102, 34, 106)(31, 103, 40, 112)(32, 104, 35, 107)(36, 108, 54, 126)(37, 109, 53, 125)(38, 110, 55, 127)(39, 111, 56, 128)(41, 113, 57, 129)(42, 114, 58, 130)(43, 115, 59, 131)(44, 116, 60, 132)(45, 117, 61, 133)(46, 118, 62, 134)(47, 119, 63, 135)(48, 120, 64, 136)(49, 121, 65, 137)(50, 122, 66, 138)(51, 123, 67, 139)(52, 124, 68, 140)(69, 141, 71, 143)(70, 142, 72, 144)(145, 217, 147, 219, 152, 224, 148, 220)(146, 218, 149, 221, 155, 227, 150, 222)(151, 223, 157, 229, 153, 225, 158, 230)(154, 226, 159, 231, 156, 228, 160, 232)(161, 233, 165, 237, 162, 234, 166, 238)(163, 235, 167, 239, 164, 236, 168, 240)(169, 241, 173, 245, 170, 242, 174, 246)(171, 243, 175, 247, 172, 244, 176, 248)(177, 249, 197, 269, 178, 250, 198, 270)(179, 251, 199, 271, 184, 256, 200, 272)(180, 252, 201, 273, 181, 253, 202, 274)(182, 254, 203, 275, 183, 255, 204, 276)(185, 257, 205, 277, 186, 258, 206, 278)(187, 259, 207, 279, 188, 260, 208, 280)(189, 261, 209, 281, 190, 262, 210, 282)(191, 263, 211, 283, 192, 264, 212, 284)(193, 265, 213, 285, 194, 266, 214, 286)(195, 267, 215, 287, 196, 268, 216, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1417 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 10, 82)(6, 78, 12, 84)(8, 80, 11, 83)(13, 85, 17, 89)(14, 86, 18, 90)(15, 87, 19, 91)(16, 88, 20, 92)(21, 93, 25, 97)(22, 94, 26, 98)(23, 95, 27, 99)(24, 96, 28, 100)(29, 101, 33, 105)(30, 102, 34, 106)(31, 103, 55, 127)(32, 104, 56, 128)(35, 107, 59, 131)(36, 108, 62, 134)(37, 109, 63, 135)(38, 110, 64, 136)(39, 111, 60, 132)(40, 112, 61, 133)(41, 113, 65, 137)(42, 114, 66, 138)(43, 115, 67, 139)(44, 116, 68, 140)(45, 117, 69, 141)(46, 118, 70, 142)(47, 119, 71, 143)(48, 120, 72, 144)(49, 121, 57, 129)(50, 122, 58, 130)(51, 123, 54, 126)(52, 124, 53, 125)(145, 217, 147, 219, 152, 224, 148, 220)(146, 218, 149, 221, 155, 227, 150, 222)(151, 223, 157, 229, 153, 225, 158, 230)(154, 226, 159, 231, 156, 228, 160, 232)(161, 233, 165, 237, 162, 234, 166, 238)(163, 235, 167, 239, 164, 236, 168, 240)(169, 241, 173, 245, 170, 242, 174, 246)(171, 243, 175, 247, 172, 244, 176, 248)(177, 249, 183, 255, 178, 250, 184, 256)(179, 251, 204, 276, 186, 258, 205, 277)(180, 252, 207, 279, 189, 261, 208, 280)(181, 253, 200, 272, 182, 254, 199, 271)(185, 257, 210, 282, 187, 259, 203, 275)(188, 260, 213, 285, 190, 262, 206, 278)(191, 263, 211, 283, 192, 264, 209, 281)(193, 265, 214, 286, 194, 266, 212, 284)(195, 267, 216, 288, 196, 268, 215, 287)(197, 269, 202, 274, 198, 270, 201, 273)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1418 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^2 * Y3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 10, 82)(6, 78, 11, 83)(8, 80, 12, 84)(13, 85, 17, 89)(14, 86, 18, 90)(15, 87, 19, 91)(16, 88, 20, 92)(21, 93, 25, 97)(22, 94, 26, 98)(23, 95, 27, 99)(24, 96, 28, 100)(29, 101, 33, 105)(30, 102, 34, 106)(31, 103, 39, 111)(32, 104, 37, 109)(35, 107, 53, 125)(36, 108, 60, 132)(38, 110, 55, 127)(40, 112, 64, 136)(41, 113, 57, 129)(42, 114, 59, 131)(43, 115, 61, 133)(44, 116, 63, 135)(45, 117, 69, 141)(46, 118, 71, 143)(47, 119, 70, 142)(48, 120, 72, 144)(49, 121, 68, 140)(50, 122, 62, 134)(51, 123, 66, 138)(52, 124, 58, 130)(54, 126, 67, 139)(56, 128, 65, 137)(145, 217, 147, 219, 148, 220, 149, 221)(146, 218, 150, 222, 151, 223, 152, 224)(153, 225, 157, 229, 154, 226, 158, 230)(155, 227, 159, 231, 156, 228, 160, 232)(161, 233, 165, 237, 162, 234, 166, 238)(163, 235, 167, 239, 164, 236, 168, 240)(169, 241, 173, 245, 170, 242, 174, 246)(171, 243, 175, 247, 172, 244, 176, 248)(177, 249, 197, 269, 178, 250, 199, 271)(179, 251, 201, 273, 182, 254, 203, 275)(180, 252, 205, 277, 184, 256, 207, 279)(181, 253, 208, 280, 183, 255, 204, 276)(185, 257, 213, 285, 186, 258, 215, 287)(187, 259, 214, 286, 188, 260, 216, 288)(189, 261, 212, 284, 190, 262, 206, 278)(191, 263, 210, 282, 192, 264, 202, 274)(193, 265, 211, 283, 194, 266, 209, 281)(195, 267, 198, 270, 196, 268, 200, 272)
	L = (1, 148)(2, 151)(3, 149)(4, 145)(5, 147)(6, 152)(7, 146)(8, 150)(9, 154)(10, 153)(11, 156)(12, 155)(13, 158)(14, 157)(15, 160)(16, 159)(17, 162)(18, 161)(19, 164)(20, 163)(21, 166)(22, 165)(23, 168)(24, 167)(25, 170)(26, 169)(27, 172)(28, 171)(29, 174)(30, 173)(31, 176)(32, 175)(33, 178)(34, 177)(35, 182)(36, 184)(37, 183)(38, 179)(39, 181)(40, 180)(41, 186)(42, 185)(43, 188)(44, 187)(45, 190)(46, 189)(47, 192)(48, 191)(49, 194)(50, 193)(51, 196)(52, 195)(53, 199)(54, 200)(55, 197)(56, 198)(57, 203)(58, 210)(59, 201)(60, 208)(61, 207)(62, 212)(63, 205)(64, 204)(65, 211)(66, 202)(67, 209)(68, 206)(69, 215)(70, 216)(71, 213)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1419 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^2 * Y3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 10, 82)(6, 78, 11, 83)(8, 80, 12, 84)(13, 85, 17, 89)(14, 86, 18, 90)(15, 87, 19, 91)(16, 88, 20, 92)(21, 93, 25, 97)(22, 94, 26, 98)(23, 95, 27, 99)(24, 96, 28, 100)(29, 101, 33, 105)(30, 102, 34, 106)(31, 103, 51, 123)(32, 104, 52, 124)(35, 107, 55, 127)(36, 108, 56, 128)(37, 109, 57, 129)(38, 110, 58, 130)(39, 111, 59, 131)(40, 112, 60, 132)(41, 113, 61, 133)(42, 114, 62, 134)(43, 115, 63, 135)(44, 116, 64, 136)(45, 117, 65, 137)(46, 118, 66, 138)(47, 119, 67, 139)(48, 120, 68, 140)(49, 121, 69, 141)(50, 122, 70, 142)(53, 125, 72, 144)(54, 126, 71, 143)(145, 217, 147, 219, 148, 220, 149, 221)(146, 218, 150, 222, 151, 223, 152, 224)(153, 225, 157, 229, 154, 226, 158, 230)(155, 227, 159, 231, 156, 228, 160, 232)(161, 233, 165, 237, 162, 234, 166, 238)(163, 235, 167, 239, 164, 236, 168, 240)(169, 241, 173, 245, 170, 242, 174, 246)(171, 243, 175, 247, 172, 244, 176, 248)(177, 249, 179, 251, 178, 250, 181, 253)(180, 252, 196, 268, 182, 254, 195, 267)(183, 255, 201, 273, 184, 256, 199, 271)(185, 257, 202, 274, 186, 258, 200, 272)(187, 259, 204, 276, 188, 260, 203, 275)(189, 261, 206, 278, 190, 262, 205, 277)(191, 263, 208, 280, 192, 264, 207, 279)(193, 265, 210, 282, 194, 266, 209, 281)(197, 269, 212, 284, 198, 270, 211, 283)(213, 285, 215, 287, 214, 286, 216, 288)
	L = (1, 148)(2, 151)(3, 149)(4, 145)(5, 147)(6, 152)(7, 146)(8, 150)(9, 154)(10, 153)(11, 156)(12, 155)(13, 158)(14, 157)(15, 160)(16, 159)(17, 162)(18, 161)(19, 164)(20, 163)(21, 166)(22, 165)(23, 168)(24, 167)(25, 170)(26, 169)(27, 172)(28, 171)(29, 174)(30, 173)(31, 176)(32, 175)(33, 178)(34, 177)(35, 181)(36, 182)(37, 179)(38, 180)(39, 184)(40, 183)(41, 186)(42, 185)(43, 188)(44, 187)(45, 190)(46, 189)(47, 192)(48, 191)(49, 194)(50, 193)(51, 196)(52, 195)(53, 198)(54, 197)(55, 201)(56, 202)(57, 199)(58, 200)(59, 204)(60, 203)(61, 206)(62, 205)(63, 208)(64, 207)(65, 210)(66, 209)(67, 212)(68, 211)(69, 214)(70, 213)(71, 216)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1420 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y3^9, Y3^4 * Y1 * Y2 * Y3^3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 20, 92)(9, 81, 26, 98)(12, 84, 21, 93)(13, 85, 30, 102)(14, 86, 23, 95)(15, 87, 28, 100)(16, 88, 25, 97)(18, 90, 35, 107)(19, 91, 24, 96)(22, 94, 39, 111)(27, 99, 44, 116)(29, 101, 47, 119)(31, 103, 41, 113)(32, 104, 40, 112)(33, 105, 49, 121)(34, 106, 46, 118)(36, 108, 52, 124)(37, 109, 43, 115)(38, 110, 55, 127)(42, 114, 57, 129)(45, 117, 60, 132)(48, 120, 63, 135)(50, 122, 65, 137)(51, 123, 62, 134)(53, 125, 67, 139)(54, 126, 59, 131)(56, 128, 69, 141)(58, 130, 66, 138)(61, 133, 68, 140)(64, 136, 71, 143)(70, 142, 72, 144)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 165, 237, 153, 225)(148, 220, 158, 230, 175, 247, 160, 232)(150, 222, 157, 229, 176, 248, 162, 234)(152, 224, 167, 239, 184, 256, 169, 241)(154, 226, 166, 238, 185, 257, 171, 243)(155, 227, 173, 245, 161, 233, 168, 240)(159, 231, 164, 236, 182, 254, 170, 242)(163, 235, 177, 249, 191, 263, 180, 252)(172, 244, 186, 258, 199, 271, 189, 261)(174, 246, 192, 264, 179, 251, 187, 259)(178, 250, 183, 255, 200, 272, 188, 260)(181, 253, 194, 266, 207, 279, 197, 269)(190, 262, 202, 274, 213, 285, 205, 277)(193, 265, 208, 280, 196, 268, 203, 275)(195, 267, 201, 273, 214, 286, 204, 276)(198, 270, 210, 282, 215, 287, 212, 284)(206, 278, 209, 281, 216, 288, 211, 283)
	L = (1, 148)(2, 152)(3, 157)(4, 159)(5, 162)(6, 145)(7, 166)(8, 168)(9, 171)(10, 146)(11, 167)(12, 175)(13, 177)(14, 147)(15, 178)(16, 149)(17, 169)(18, 180)(19, 150)(20, 158)(21, 184)(22, 186)(23, 151)(24, 187)(25, 153)(26, 160)(27, 189)(28, 154)(29, 192)(30, 155)(31, 182)(32, 156)(33, 194)(34, 195)(35, 161)(36, 197)(37, 163)(38, 200)(39, 164)(40, 173)(41, 165)(42, 202)(43, 203)(44, 170)(45, 205)(46, 172)(47, 176)(48, 208)(49, 174)(50, 210)(51, 198)(52, 179)(53, 212)(54, 181)(55, 185)(56, 214)(57, 183)(58, 209)(59, 206)(60, 188)(61, 211)(62, 190)(63, 191)(64, 216)(65, 193)(66, 201)(67, 196)(68, 204)(69, 199)(70, 215)(71, 207)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1421 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D18 (small group id <72, 5>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-1 * Y3 * Y2, Y2^4, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1, (Y1 * Y2^-2)^2, Y3^4 * Y1 * Y2^-1 * Y3^3 * Y1 * Y2^-1, Y3 * Y2 * Y3^-2 * Y2 * Y3^6 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 20, 92)(9, 81, 26, 98)(12, 84, 21, 93)(13, 85, 30, 102)(14, 86, 23, 95)(15, 87, 28, 100)(16, 88, 25, 97)(18, 90, 35, 107)(19, 91, 24, 96)(22, 94, 39, 111)(27, 99, 44, 116)(29, 101, 47, 119)(31, 103, 41, 113)(32, 104, 40, 112)(33, 105, 49, 121)(34, 106, 46, 118)(36, 108, 52, 124)(37, 109, 43, 115)(38, 110, 55, 127)(42, 114, 57, 129)(45, 117, 60, 132)(48, 120, 63, 135)(50, 122, 65, 137)(51, 123, 62, 134)(53, 125, 68, 140)(54, 126, 59, 131)(56, 128, 71, 143)(58, 130, 69, 141)(61, 133, 66, 138)(64, 136, 67, 139)(70, 142, 72, 144)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 165, 237, 153, 225)(148, 220, 158, 230, 175, 247, 160, 232)(150, 222, 157, 229, 176, 248, 162, 234)(152, 224, 167, 239, 184, 256, 169, 241)(154, 226, 166, 238, 185, 257, 171, 243)(155, 227, 173, 245, 161, 233, 168, 240)(159, 231, 164, 236, 182, 254, 170, 242)(163, 235, 177, 249, 191, 263, 180, 252)(172, 244, 186, 258, 199, 271, 189, 261)(174, 246, 192, 264, 179, 251, 187, 259)(178, 250, 183, 255, 200, 272, 188, 260)(181, 253, 194, 266, 207, 279, 197, 269)(190, 262, 202, 274, 215, 287, 205, 277)(193, 265, 208, 280, 196, 268, 203, 275)(195, 267, 201, 273, 214, 286, 204, 276)(198, 270, 210, 282, 211, 283, 213, 285)(206, 278, 212, 284, 216, 288, 209, 281)
	L = (1, 148)(2, 152)(3, 157)(4, 159)(5, 162)(6, 145)(7, 166)(8, 168)(9, 171)(10, 146)(11, 167)(12, 175)(13, 177)(14, 147)(15, 178)(16, 149)(17, 169)(18, 180)(19, 150)(20, 158)(21, 184)(22, 186)(23, 151)(24, 187)(25, 153)(26, 160)(27, 189)(28, 154)(29, 192)(30, 155)(31, 182)(32, 156)(33, 194)(34, 195)(35, 161)(36, 197)(37, 163)(38, 200)(39, 164)(40, 173)(41, 165)(42, 202)(43, 203)(44, 170)(45, 205)(46, 172)(47, 176)(48, 208)(49, 174)(50, 210)(51, 211)(52, 179)(53, 213)(54, 181)(55, 185)(56, 214)(57, 183)(58, 212)(59, 216)(60, 188)(61, 209)(62, 190)(63, 191)(64, 206)(65, 193)(66, 204)(67, 207)(68, 196)(69, 201)(70, 198)(71, 199)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1422 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = C2 x ((C18 x C2) : C2) (small group id <144, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, Y2 * Y3 * Y1^2, R * Y3 * R * Y2, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 74, 2, 78, 6, 77, 5, 73)(3, 81, 9, 76, 4, 82, 10, 75)(7, 83, 11, 80, 8, 84, 12, 79)(13, 89, 17, 86, 14, 90, 18, 85)(15, 91, 19, 88, 16, 92, 20, 87)(21, 97, 25, 94, 22, 98, 26, 93)(23, 99, 27, 96, 24, 100, 28, 95)(29, 105, 33, 102, 30, 106, 34, 101)(31, 110, 38, 104, 32, 107, 35, 103)(36, 125, 53, 109, 37, 126, 54, 108)(39, 128, 56, 112, 40, 127, 55, 111)(41, 130, 58, 114, 42, 129, 57, 113)(43, 132, 60, 116, 44, 131, 59, 115)(45, 134, 62, 118, 46, 133, 61, 117)(47, 136, 64, 120, 48, 135, 63, 119)(49, 138, 66, 122, 50, 137, 65, 121)(51, 140, 68, 124, 52, 139, 67, 123)(69, 144, 72, 142, 70, 143, 71, 141)
	L = (1, 3)(2, 7)(4, 6)(5, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 53)(34, 54)(35, 55)(36, 57)(37, 58)(38, 56)(39, 59)(40, 60)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(47, 67)(48, 68)(49, 69)(50, 70)(51, 71)(52, 72)(73, 76)(74, 80)(75, 78)(77, 79)(81, 86)(82, 85)(83, 88)(84, 87)(89, 94)(90, 93)(91, 96)(92, 95)(97, 102)(98, 101)(99, 104)(100, 103)(105, 126)(106, 125)(107, 128)(108, 130)(109, 129)(110, 127)(111, 132)(112, 131)(113, 134)(114, 133)(115, 136)(116, 135)(117, 138)(118, 137)(119, 140)(120, 139)(121, 142)(122, 141)(123, 144)(124, 143)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.1423 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = C2 x ((C18 x C2) : C2) (small group id <144, 46>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^-2 * Y2 * Y1, Y3^-1 * Y1 * Y2 * Y3^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 4, 76, 6, 78, 5, 77)(2, 74, 7, 79, 3, 75, 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, 63, 135, 40, 112, 65, 137)(36, 108, 67, 139, 37, 109, 68, 140)(38, 110, 66, 138, 39, 111, 64, 136)(41, 113, 62, 134, 42, 114, 61, 133)(43, 115, 71, 143, 44, 116, 72, 144)(45, 117, 58, 130, 46, 118, 60, 132)(47, 119, 70, 142, 48, 120, 69, 141)(49, 121, 56, 128, 50, 122, 55, 127)(51, 123, 54, 126, 52, 124, 53, 125)(145, 146)(147, 150)(148, 153)(149, 154)(151, 155)(152, 156)(157, 161)(158, 162)(159, 163)(160, 164)(165, 169)(166, 170)(167, 171)(168, 172)(173, 177)(174, 178)(175, 191)(176, 192)(179, 205)(180, 208)(181, 210)(182, 213)(183, 214)(184, 206)(185, 203)(186, 201)(187, 207)(188, 209)(189, 211)(190, 212)(193, 215)(194, 216)(195, 202)(196, 204)(197, 200)(198, 199)(217, 219)(218, 222)(220, 226)(221, 225)(223, 228)(224, 227)(229, 234)(230, 233)(231, 236)(232, 235)(237, 242)(238, 241)(239, 244)(240, 243)(245, 250)(246, 249)(247, 264)(248, 263)(251, 278)(252, 282)(253, 280)(254, 286)(255, 285)(256, 277)(257, 273)(258, 275)(259, 281)(260, 279)(261, 284)(262, 283)(265, 288)(266, 287)(267, 276)(268, 274)(269, 271)(270, 272)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1425
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.1424 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = C2 x ((C18 x C2) : C2) (small group id <144, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^4, Y2 * Y1^-2 * Y2, (R * Y3)^2, R * Y2 * R * Y1, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 4, 76)(2, 74, 6, 78)(3, 75, 7, 79)(5, 77, 10, 82)(8, 80, 13, 85)(9, 81, 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, 61, 133)(34, 106, 62, 134)(35, 107, 65, 137)(36, 108, 68, 140)(37, 109, 69, 141)(38, 110, 60, 132)(39, 111, 70, 142)(40, 112, 57, 129)(41, 113, 58, 130)(42, 114, 63, 135)(43, 115, 64, 136)(44, 116, 59, 131)(45, 117, 66, 138)(46, 118, 67, 139)(47, 119, 55, 127)(48, 120, 56, 128)(49, 121, 54, 126)(50, 122, 53, 125)(51, 123, 71, 143)(52, 124, 72, 144)(145, 146, 149, 147)(148, 152, 154, 153)(150, 155, 151, 156)(157, 161, 158, 162)(159, 163, 160, 164)(165, 169, 166, 170)(167, 171, 168, 172)(173, 177, 174, 178)(175, 196, 176, 195)(179, 207, 183, 208)(180, 210, 181, 211)(182, 212, 188, 213)(184, 214, 185, 209)(186, 215, 187, 216)(189, 205, 190, 206)(191, 203, 192, 204)(193, 202, 194, 201)(197, 200, 198, 199)(217, 219, 221, 218)(220, 225, 226, 224)(222, 228, 223, 227)(229, 234, 230, 233)(231, 236, 232, 235)(237, 242, 238, 241)(239, 244, 240, 243)(245, 250, 246, 249)(247, 267, 248, 268)(251, 280, 255, 279)(252, 283, 253, 282)(254, 285, 260, 284)(256, 281, 257, 286)(258, 288, 259, 287)(261, 278, 262, 277)(263, 276, 264, 275)(265, 273, 266, 274)(269, 271, 270, 272)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1426
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1425 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = C2 x ((C18 x C2) : C2) (small group id <144, 46>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^-2 * Y2 * Y1, Y3^-1 * Y1 * Y2 * Y3^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 6, 78, 150, 222, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 3, 75, 147, 219, 8, 80, 152, 224)(9, 81, 153, 225, 13, 85, 157, 229, 10, 82, 154, 226, 14, 86, 158, 230)(11, 83, 155, 227, 15, 87, 159, 231, 12, 84, 156, 228, 16, 88, 160, 232)(17, 89, 161, 233, 21, 93, 165, 237, 18, 90, 162, 234, 22, 94, 166, 238)(19, 91, 163, 235, 23, 95, 167, 239, 20, 92, 164, 236, 24, 96, 168, 240)(25, 97, 169, 241, 29, 101, 173, 245, 26, 98, 170, 242, 30, 102, 174, 246)(27, 99, 171, 243, 31, 103, 175, 247, 28, 100, 172, 244, 32, 104, 176, 248)(33, 105, 177, 249, 41, 113, 185, 257, 34, 106, 178, 250, 42, 114, 186, 258)(35, 107, 179, 251, 61, 133, 205, 277, 40, 112, 184, 256, 62, 134, 206, 278)(36, 108, 180, 252, 65, 137, 209, 281, 37, 109, 181, 253, 66, 138, 210, 282)(38, 110, 182, 254, 56, 128, 200, 272, 39, 111, 183, 255, 55, 127, 199, 271)(43, 115, 187, 259, 60, 132, 204, 276, 44, 116, 188, 260, 59, 131, 203, 275)(45, 117, 189, 261, 64, 136, 208, 280, 46, 118, 190, 262, 63, 135, 207, 279)(47, 119, 191, 263, 68, 140, 212, 284, 48, 120, 192, 264, 67, 139, 211, 283)(49, 121, 193, 265, 70, 142, 214, 286, 50, 122, 194, 266, 69, 141, 213, 285)(51, 123, 195, 267, 72, 144, 216, 288, 52, 124, 196, 268, 71, 143, 215, 287)(53, 125, 197, 269, 58, 130, 202, 274, 54, 126, 198, 270, 57, 129, 201, 273)
	L = (1, 74)(2, 73)(3, 78)(4, 81)(5, 82)(6, 75)(7, 83)(8, 84)(9, 76)(10, 77)(11, 79)(12, 80)(13, 89)(14, 90)(15, 91)(16, 92)(17, 85)(18, 86)(19, 87)(20, 88)(21, 97)(22, 98)(23, 99)(24, 100)(25, 93)(26, 94)(27, 95)(28, 96)(29, 105)(30, 106)(31, 127)(32, 128)(33, 101)(34, 102)(35, 131)(36, 135)(37, 136)(38, 137)(39, 138)(40, 132)(41, 133)(42, 134)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 129)(50, 130)(51, 126)(52, 125)(53, 124)(54, 123)(55, 103)(56, 104)(57, 121)(58, 122)(59, 107)(60, 112)(61, 113)(62, 114)(63, 108)(64, 109)(65, 110)(66, 111)(67, 115)(68, 116)(69, 117)(70, 118)(71, 119)(72, 120)(145, 219)(146, 222)(147, 217)(148, 226)(149, 225)(150, 218)(151, 228)(152, 227)(153, 221)(154, 220)(155, 224)(156, 223)(157, 234)(158, 233)(159, 236)(160, 235)(161, 230)(162, 229)(163, 232)(164, 231)(165, 242)(166, 241)(167, 244)(168, 243)(169, 238)(170, 237)(171, 240)(172, 239)(173, 250)(174, 249)(175, 272)(176, 271)(177, 246)(178, 245)(179, 276)(180, 280)(181, 279)(182, 282)(183, 281)(184, 275)(185, 278)(186, 277)(187, 284)(188, 283)(189, 286)(190, 285)(191, 288)(192, 287)(193, 274)(194, 273)(195, 269)(196, 270)(197, 267)(198, 268)(199, 248)(200, 247)(201, 266)(202, 265)(203, 256)(204, 251)(205, 258)(206, 257)(207, 253)(208, 252)(209, 255)(210, 254)(211, 260)(212, 259)(213, 262)(214, 261)(215, 264)(216, 263)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1423
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 144 f = 90
	degree seq :: [ 16^18 ]

E19.1426 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = C2 x ((C18 x C2) : C2) (small group id <144, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^4, Y2 * Y1^-2 * Y2, (R * Y3)^2, R * Y2 * R * Y1, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 6, 78, 150, 222)(3, 75, 147, 219, 7, 79, 151, 223)(5, 77, 149, 221, 10, 82, 154, 226)(8, 80, 152, 224, 13, 85, 157, 229)(9, 81, 153, 225, 14, 86, 158, 230)(11, 83, 155, 227, 15, 87, 159, 231)(12, 84, 156, 228, 16, 88, 160, 232)(17, 89, 161, 233, 21, 93, 165, 237)(18, 90, 162, 234, 22, 94, 166, 238)(19, 91, 163, 235, 23, 95, 167, 239)(20, 92, 164, 236, 24, 96, 168, 240)(25, 97, 169, 241, 29, 101, 173, 245)(26, 98, 170, 242, 30, 102, 174, 246)(27, 99, 171, 243, 31, 103, 175, 247)(28, 100, 172, 244, 32, 104, 176, 248)(33, 105, 177, 249, 57, 129, 201, 273)(34, 106, 178, 250, 59, 131, 203, 275)(35, 107, 179, 251, 63, 135, 207, 279)(36, 108, 180, 252, 66, 138, 210, 282)(37, 109, 181, 253, 67, 139, 211, 283)(38, 110, 182, 254, 64, 136, 208, 280)(39, 111, 183, 255, 70, 142, 214, 286)(40, 112, 184, 256, 61, 133, 205, 277)(41, 113, 185, 257, 62, 134, 206, 278)(42, 114, 186, 258, 71, 143, 215, 287)(43, 115, 187, 259, 72, 144, 216, 288)(44, 116, 188, 260, 65, 137, 209, 281)(45, 117, 189, 261, 58, 130, 202, 274)(46, 118, 190, 262, 60, 132, 204, 276)(47, 119, 191, 263, 68, 140, 212, 284)(48, 120, 192, 264, 69, 141, 213, 285)(49, 121, 193, 265, 55, 127, 199, 271)(50, 122, 194, 266, 56, 128, 200, 272)(51, 123, 195, 267, 54, 126, 198, 270)(52, 124, 196, 268, 53, 125, 197, 269)
	L = (1, 74)(2, 77)(3, 73)(4, 80)(5, 75)(6, 83)(7, 84)(8, 82)(9, 76)(10, 81)(11, 79)(12, 78)(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, 120)(32, 119)(33, 102)(34, 101)(35, 133)(36, 137)(37, 136)(38, 140)(39, 134)(40, 129)(41, 131)(42, 142)(43, 135)(44, 141)(45, 139)(46, 138)(47, 103)(48, 104)(49, 144)(50, 143)(51, 132)(52, 130)(53, 128)(54, 127)(55, 125)(56, 126)(57, 113)(58, 123)(59, 112)(60, 124)(61, 111)(62, 107)(63, 114)(64, 108)(65, 109)(66, 117)(67, 118)(68, 116)(69, 110)(70, 115)(71, 121)(72, 122)(145, 219)(146, 217)(147, 221)(148, 225)(149, 218)(150, 228)(151, 227)(152, 220)(153, 226)(154, 224)(155, 222)(156, 223)(157, 234)(158, 233)(159, 236)(160, 235)(161, 229)(162, 230)(163, 231)(164, 232)(165, 242)(166, 241)(167, 244)(168, 243)(169, 237)(170, 238)(171, 239)(172, 240)(173, 250)(174, 249)(175, 263)(176, 264)(177, 245)(178, 246)(179, 278)(180, 280)(181, 281)(182, 285)(183, 277)(184, 275)(185, 273)(186, 279)(187, 286)(188, 284)(189, 282)(190, 283)(191, 248)(192, 247)(193, 287)(194, 288)(195, 274)(196, 276)(197, 271)(198, 272)(199, 270)(200, 269)(201, 256)(202, 268)(203, 257)(204, 267)(205, 251)(206, 255)(207, 259)(208, 253)(209, 252)(210, 262)(211, 261)(212, 254)(213, 260)(214, 258)(215, 266)(216, 265)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1424
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.1427 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = C2 x ((C18 x C2) : C2) (small group id <144, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, (Y2^-2 * Y1)^2, Y3^9, Y3^3 * Y1 * Y2 * Y3^4 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 20, 92)(9, 81, 26, 98)(12, 84, 21, 93)(13, 85, 30, 102)(14, 86, 25, 97)(15, 87, 28, 100)(16, 88, 23, 95)(18, 90, 35, 107)(19, 91, 24, 96)(22, 94, 39, 111)(27, 99, 44, 116)(29, 101, 47, 119)(31, 103, 41, 113)(32, 104, 40, 112)(33, 105, 49, 121)(34, 106, 46, 118)(36, 108, 52, 124)(37, 109, 43, 115)(38, 110, 55, 127)(42, 114, 57, 129)(45, 117, 60, 132)(48, 120, 63, 135)(50, 122, 65, 137)(51, 123, 62, 134)(53, 125, 67, 139)(54, 126, 59, 131)(56, 128, 69, 141)(58, 130, 68, 140)(61, 133, 66, 138)(64, 136, 71, 143)(70, 142, 72, 144)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 165, 237, 153, 225)(148, 220, 158, 230, 175, 247, 160, 232)(150, 222, 157, 229, 176, 248, 162, 234)(152, 224, 167, 239, 184, 256, 169, 241)(154, 226, 166, 238, 185, 257, 171, 243)(155, 227, 168, 240, 161, 233, 173, 245)(159, 231, 170, 242, 182, 254, 164, 236)(163, 235, 177, 249, 191, 263, 180, 252)(172, 244, 186, 258, 199, 271, 189, 261)(174, 246, 187, 259, 179, 251, 192, 264)(178, 250, 188, 260, 200, 272, 183, 255)(181, 253, 194, 266, 207, 279, 197, 269)(190, 262, 202, 274, 213, 285, 205, 277)(193, 265, 203, 275, 196, 268, 208, 280)(195, 267, 204, 276, 214, 286, 201, 273)(198, 270, 210, 282, 215, 287, 212, 284)(206, 278, 211, 283, 216, 288, 209, 281)
	L = (1, 148)(2, 152)(3, 157)(4, 159)(5, 162)(6, 145)(7, 166)(8, 168)(9, 171)(10, 146)(11, 169)(12, 175)(13, 177)(14, 147)(15, 178)(16, 149)(17, 167)(18, 180)(19, 150)(20, 160)(21, 184)(22, 186)(23, 151)(24, 187)(25, 153)(26, 158)(27, 189)(28, 154)(29, 192)(30, 155)(31, 182)(32, 156)(33, 194)(34, 195)(35, 161)(36, 197)(37, 163)(38, 200)(39, 164)(40, 173)(41, 165)(42, 202)(43, 203)(44, 170)(45, 205)(46, 172)(47, 176)(48, 208)(49, 174)(50, 210)(51, 198)(52, 179)(53, 212)(54, 181)(55, 185)(56, 214)(57, 183)(58, 211)(59, 206)(60, 188)(61, 209)(62, 190)(63, 191)(64, 216)(65, 193)(66, 204)(67, 196)(68, 201)(69, 199)(70, 215)(71, 207)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1428 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = C2 x ((C18 x C2) : C2) (small group id <144, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, (Y1 * Y2^-2)^2, Y3^3 * Y1 * Y2 * Y3^4 * Y1 * Y2^-1, Y3 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^6 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 20, 92)(9, 81, 26, 98)(12, 84, 21, 93)(13, 85, 30, 102)(14, 86, 25, 97)(15, 87, 28, 100)(16, 88, 23, 95)(18, 90, 35, 107)(19, 91, 24, 96)(22, 94, 39, 111)(27, 99, 44, 116)(29, 101, 47, 119)(31, 103, 41, 113)(32, 104, 40, 112)(33, 105, 49, 121)(34, 106, 46, 118)(36, 108, 52, 124)(37, 109, 43, 115)(38, 110, 55, 127)(42, 114, 57, 129)(45, 117, 60, 132)(48, 120, 63, 135)(50, 122, 65, 137)(51, 123, 62, 134)(53, 125, 68, 140)(54, 126, 59, 131)(56, 128, 71, 143)(58, 130, 66, 138)(61, 133, 69, 141)(64, 136, 67, 139)(70, 142, 72, 144)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 165, 237, 153, 225)(148, 220, 158, 230, 175, 247, 160, 232)(150, 222, 157, 229, 176, 248, 162, 234)(152, 224, 167, 239, 184, 256, 169, 241)(154, 226, 166, 238, 185, 257, 171, 243)(155, 227, 168, 240, 161, 233, 173, 245)(159, 231, 170, 242, 182, 254, 164, 236)(163, 235, 177, 249, 191, 263, 180, 252)(172, 244, 186, 258, 199, 271, 189, 261)(174, 246, 187, 259, 179, 251, 192, 264)(178, 250, 188, 260, 200, 272, 183, 255)(181, 253, 194, 266, 207, 279, 197, 269)(190, 262, 202, 274, 215, 287, 205, 277)(193, 265, 203, 275, 196, 268, 208, 280)(195, 267, 204, 276, 214, 286, 201, 273)(198, 270, 210, 282, 211, 283, 213, 285)(206, 278, 209, 281, 216, 288, 212, 284)
	L = (1, 148)(2, 152)(3, 157)(4, 159)(5, 162)(6, 145)(7, 166)(8, 168)(9, 171)(10, 146)(11, 169)(12, 175)(13, 177)(14, 147)(15, 178)(16, 149)(17, 167)(18, 180)(19, 150)(20, 160)(21, 184)(22, 186)(23, 151)(24, 187)(25, 153)(26, 158)(27, 189)(28, 154)(29, 192)(30, 155)(31, 182)(32, 156)(33, 194)(34, 195)(35, 161)(36, 197)(37, 163)(38, 200)(39, 164)(40, 173)(41, 165)(42, 202)(43, 203)(44, 170)(45, 205)(46, 172)(47, 176)(48, 208)(49, 174)(50, 210)(51, 211)(52, 179)(53, 213)(54, 181)(55, 185)(56, 214)(57, 183)(58, 209)(59, 216)(60, 188)(61, 212)(62, 190)(63, 191)(64, 206)(65, 193)(66, 201)(67, 207)(68, 196)(69, 204)(70, 198)(71, 199)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1429 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^4, R * Y2 * R * Y3, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 74, 2, 77, 5, 76, 4, 73)(3, 79, 7, 85, 13, 80, 8, 75)(6, 83, 11, 92, 20, 84, 12, 78)(9, 88, 16, 100, 28, 89, 17, 81)(10, 90, 18, 103, 31, 91, 19, 82)(14, 96, 24, 105, 33, 97, 25, 86)(15, 98, 26, 104, 32, 99, 27, 87)(21, 107, 35, 102, 30, 108, 36, 93)(22, 109, 37, 101, 29, 110, 38, 94)(23, 111, 39, 116, 44, 106, 34, 95)(40, 121, 49, 115, 43, 122, 50, 112)(41, 123, 51, 114, 42, 124, 52, 113)(45, 125, 53, 120, 48, 126, 54, 117)(46, 127, 55, 119, 47, 128, 56, 118)(57, 137, 65, 132, 60, 138, 66, 129)(58, 139, 67, 131, 59, 140, 68, 130)(61, 141, 69, 136, 64, 142, 70, 133)(62, 143, 71, 135, 63, 144, 72, 134)
	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, 72)(66, 69)(67, 70)(68, 71)(73, 75)(74, 78)(76, 81)(77, 82)(79, 86)(80, 87)(83, 93)(84, 94)(85, 95)(88, 101)(89, 102)(90, 104)(91, 105)(92, 106)(96, 112)(97, 113)(98, 114)(99, 115)(100, 111)(103, 116)(107, 117)(108, 118)(109, 119)(110, 120)(121, 129)(122, 130)(123, 131)(124, 132)(125, 133)(126, 134)(127, 135)(128, 136)(137, 144)(138, 141)(139, 142)(140, 143)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.1430 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, (R * Y3)^2, R * Y2 * R * Y1, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1, (Y3^-2 * Y1 * Y3 * Y1)^2, (Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 3, 75, 8, 80, 4, 76)(2, 74, 5, 77, 11, 83, 6, 78)(7, 79, 13, 85, 24, 96, 14, 86)(9, 81, 16, 88, 29, 101, 17, 89)(10, 82, 18, 90, 32, 104, 19, 91)(12, 84, 21, 93, 37, 109, 22, 94)(15, 87, 26, 98, 43, 115, 27, 99)(20, 92, 34, 106, 48, 120, 35, 107)(23, 95, 39, 111, 30, 102, 40, 112)(25, 97, 41, 113, 28, 100, 42, 114)(31, 103, 44, 116, 38, 110, 45, 117)(33, 105, 46, 118, 36, 108, 47, 119)(49, 121, 57, 129, 52, 124, 58, 130)(50, 122, 59, 131, 51, 123, 60, 132)(53, 125, 61, 133, 56, 128, 62, 134)(54, 126, 63, 135, 55, 127, 64, 136)(65, 137, 70, 142, 68, 140, 71, 143)(66, 138, 72, 144, 67, 139, 69, 141)(145, 146)(147, 151)(148, 153)(149, 154)(150, 156)(152, 159)(155, 164)(157, 167)(158, 169)(160, 172)(161, 174)(162, 175)(163, 177)(165, 180)(166, 182)(168, 179)(170, 181)(171, 176)(173, 178)(183, 193)(184, 194)(185, 195)(186, 196)(187, 192)(188, 197)(189, 198)(190, 199)(191, 200)(201, 209)(202, 210)(203, 211)(204, 212)(205, 213)(206, 214)(207, 215)(208, 216)(217, 218)(219, 223)(220, 225)(221, 226)(222, 228)(224, 231)(227, 236)(229, 239)(230, 241)(232, 244)(233, 246)(234, 247)(235, 249)(237, 252)(238, 254)(240, 251)(242, 253)(243, 248)(245, 250)(255, 265)(256, 266)(257, 267)(258, 268)(259, 264)(260, 269)(261, 270)(262, 271)(263, 272)(273, 281)(274, 282)(275, 283)(276, 284)(277, 285)(278, 286)(279, 287)(280, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1432
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.1431 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^-1 * Y2^2 * Y1^-1, Y1^4, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y2^2 * Y3 * Y1^-1 * Y3 * Y1^-2, Y3 * Y2^2 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y2^-1, Y3 * Y2^2 * Y3 * Y2 * Y3 * Y1^-2 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 4, 76)(2, 74, 6, 78)(3, 75, 7, 79)(5, 77, 10, 82)(8, 80, 16, 88)(9, 81, 17, 89)(11, 83, 21, 93)(12, 84, 22, 94)(13, 85, 24, 96)(14, 86, 25, 97)(15, 87, 26, 98)(18, 90, 32, 104)(19, 91, 33, 105)(20, 92, 34, 106)(23, 95, 39, 111)(27, 99, 40, 112)(28, 100, 41, 113)(29, 101, 42, 114)(30, 102, 43, 115)(31, 103, 44, 116)(35, 107, 45, 117)(36, 108, 46, 118)(37, 109, 47, 119)(38, 110, 48, 120)(49, 121, 57, 129)(50, 122, 58, 130)(51, 123, 59, 131)(52, 124, 60, 132)(53, 125, 61, 133)(54, 126, 62, 134)(55, 127, 63, 135)(56, 128, 64, 136)(65, 137, 72, 144)(66, 138, 69, 141)(67, 139, 70, 142)(68, 140, 71, 143)(145, 146, 149, 147)(148, 152, 159, 153)(150, 155, 164, 156)(151, 157, 167, 158)(154, 162, 175, 163)(160, 171, 177, 172)(161, 173, 176, 174)(165, 179, 169, 180)(166, 181, 168, 182)(170, 183, 188, 178)(184, 193, 187, 194)(185, 195, 186, 196)(189, 197, 192, 198)(190, 199, 191, 200)(201, 209, 204, 210)(202, 211, 203, 212)(205, 213, 208, 214)(206, 215, 207, 216)(217, 219, 221, 218)(220, 225, 231, 224)(222, 228, 236, 227)(223, 230, 239, 229)(226, 235, 247, 234)(232, 244, 249, 243)(233, 246, 248, 245)(237, 252, 241, 251)(238, 254, 240, 253)(242, 250, 260, 255)(256, 266, 259, 265)(257, 268, 258, 267)(261, 270, 264, 269)(262, 272, 263, 271)(273, 282, 276, 281)(274, 284, 275, 283)(277, 286, 280, 285)(278, 288, 279, 287)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1433
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1432 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, (R * Y3)^2, R * Y2 * R * Y1, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1, (Y3^-2 * Y1 * Y3 * Y1)^2, (Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 145, 217, 3, 75, 147, 219, 8, 80, 152, 224, 4, 76, 148, 220)(2, 74, 146, 218, 5, 77, 149, 221, 11, 83, 155, 227, 6, 78, 150, 222)(7, 79, 151, 223, 13, 85, 157, 229, 24, 96, 168, 240, 14, 86, 158, 230)(9, 81, 153, 225, 16, 88, 160, 232, 29, 101, 173, 245, 17, 89, 161, 233)(10, 82, 154, 226, 18, 90, 162, 234, 32, 104, 176, 248, 19, 91, 163, 235)(12, 84, 156, 228, 21, 93, 165, 237, 37, 109, 181, 253, 22, 94, 166, 238)(15, 87, 159, 231, 26, 98, 170, 242, 43, 115, 187, 259, 27, 99, 171, 243)(20, 92, 164, 236, 34, 106, 178, 250, 48, 120, 192, 264, 35, 107, 179, 251)(23, 95, 167, 239, 39, 111, 183, 255, 30, 102, 174, 246, 40, 112, 184, 256)(25, 97, 169, 241, 41, 113, 185, 257, 28, 100, 172, 244, 42, 114, 186, 258)(31, 103, 175, 247, 44, 116, 188, 260, 38, 110, 182, 254, 45, 117, 189, 261)(33, 105, 177, 249, 46, 118, 190, 262, 36, 108, 180, 252, 47, 119, 191, 263)(49, 121, 193, 265, 57, 129, 201, 273, 52, 124, 196, 268, 58, 130, 202, 274)(50, 122, 194, 266, 59, 131, 203, 275, 51, 123, 195, 267, 60, 132, 204, 276)(53, 125, 197, 269, 61, 133, 205, 277, 56, 128, 200, 272, 62, 134, 206, 278)(54, 126, 198, 270, 63, 135, 207, 279, 55, 127, 199, 271, 64, 136, 208, 280)(65, 137, 209, 281, 70, 142, 214, 286, 68, 140, 212, 284, 71, 143, 215, 287)(66, 138, 210, 282, 72, 144, 216, 288, 67, 139, 211, 283, 69, 141, 213, 285)
	L = (1, 74)(2, 73)(3, 79)(4, 81)(5, 82)(6, 84)(7, 75)(8, 87)(9, 76)(10, 77)(11, 92)(12, 78)(13, 95)(14, 97)(15, 80)(16, 100)(17, 102)(18, 103)(19, 105)(20, 83)(21, 108)(22, 110)(23, 85)(24, 107)(25, 86)(26, 109)(27, 104)(28, 88)(29, 106)(30, 89)(31, 90)(32, 99)(33, 91)(34, 101)(35, 96)(36, 93)(37, 98)(38, 94)(39, 121)(40, 122)(41, 123)(42, 124)(43, 120)(44, 125)(45, 126)(46, 127)(47, 128)(48, 115)(49, 111)(50, 112)(51, 113)(52, 114)(53, 116)(54, 117)(55, 118)(56, 119)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 129)(66, 130)(67, 131)(68, 132)(69, 133)(70, 134)(71, 135)(72, 136)(145, 218)(146, 217)(147, 223)(148, 225)(149, 226)(150, 228)(151, 219)(152, 231)(153, 220)(154, 221)(155, 236)(156, 222)(157, 239)(158, 241)(159, 224)(160, 244)(161, 246)(162, 247)(163, 249)(164, 227)(165, 252)(166, 254)(167, 229)(168, 251)(169, 230)(170, 253)(171, 248)(172, 232)(173, 250)(174, 233)(175, 234)(176, 243)(177, 235)(178, 245)(179, 240)(180, 237)(181, 242)(182, 238)(183, 265)(184, 266)(185, 267)(186, 268)(187, 264)(188, 269)(189, 270)(190, 271)(191, 272)(192, 259)(193, 255)(194, 256)(195, 257)(196, 258)(197, 260)(198, 261)(199, 262)(200, 263)(201, 281)(202, 282)(203, 283)(204, 284)(205, 285)(206, 286)(207, 287)(208, 288)(209, 273)(210, 274)(211, 275)(212, 276)(213, 277)(214, 278)(215, 279)(216, 280)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1430
Transitivity :: VT+
Graph::
	v = 18 e = 144 f = 90
	degree seq :: [ 16^18 ]

E19.1433 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^-1 * Y2^2 * Y1^-1, Y1^4, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y2^2 * Y3 * Y1^-1 * Y3 * Y1^-2, Y3 * Y2^2 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y2^-1, Y3 * Y2^2 * Y3 * Y2 * Y3 * Y1^-2 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 6, 78, 150, 222)(3, 75, 147, 219, 7, 79, 151, 223)(5, 77, 149, 221, 10, 82, 154, 226)(8, 80, 152, 224, 16, 88, 160, 232)(9, 81, 153, 225, 17, 89, 161, 233)(11, 83, 155, 227, 21, 93, 165, 237)(12, 84, 156, 228, 22, 94, 166, 238)(13, 85, 157, 229, 24, 96, 168, 240)(14, 86, 158, 230, 25, 97, 169, 241)(15, 87, 159, 231, 26, 98, 170, 242)(18, 90, 162, 234, 32, 104, 176, 248)(19, 91, 163, 235, 33, 105, 177, 249)(20, 92, 164, 236, 34, 106, 178, 250)(23, 95, 167, 239, 39, 111, 183, 255)(27, 99, 171, 243, 40, 112, 184, 256)(28, 100, 172, 244, 41, 113, 185, 257)(29, 101, 173, 245, 42, 114, 186, 258)(30, 102, 174, 246, 43, 115, 187, 259)(31, 103, 175, 247, 44, 116, 188, 260)(35, 107, 179, 251, 45, 117, 189, 261)(36, 108, 180, 252, 46, 118, 190, 262)(37, 109, 181, 253, 47, 119, 191, 263)(38, 110, 182, 254, 48, 120, 192, 264)(49, 121, 193, 265, 57, 129, 201, 273)(50, 122, 194, 266, 58, 130, 202, 274)(51, 123, 195, 267, 59, 131, 203, 275)(52, 124, 196, 268, 60, 132, 204, 276)(53, 125, 197, 269, 61, 133, 205, 277)(54, 126, 198, 270, 62, 134, 206, 278)(55, 127, 199, 271, 63, 135, 207, 279)(56, 128, 200, 272, 64, 136, 208, 280)(65, 137, 209, 281, 72, 144, 216, 288)(66, 138, 210, 282, 69, 141, 213, 285)(67, 139, 211, 283, 70, 142, 214, 286)(68, 140, 212, 284, 71, 143, 215, 287)
	L = (1, 74)(2, 77)(3, 73)(4, 80)(5, 75)(6, 83)(7, 85)(8, 87)(9, 76)(10, 90)(11, 92)(12, 78)(13, 95)(14, 79)(15, 81)(16, 99)(17, 101)(18, 103)(19, 82)(20, 84)(21, 107)(22, 109)(23, 86)(24, 110)(25, 108)(26, 111)(27, 105)(28, 88)(29, 104)(30, 89)(31, 91)(32, 102)(33, 100)(34, 98)(35, 97)(36, 93)(37, 96)(38, 94)(39, 116)(40, 121)(41, 123)(42, 124)(43, 122)(44, 106)(45, 125)(46, 127)(47, 128)(48, 126)(49, 115)(50, 112)(51, 114)(52, 113)(53, 120)(54, 117)(55, 119)(56, 118)(57, 137)(58, 139)(59, 140)(60, 138)(61, 141)(62, 143)(63, 144)(64, 142)(65, 132)(66, 129)(67, 131)(68, 130)(69, 136)(70, 133)(71, 135)(72, 134)(145, 219)(146, 217)(147, 221)(148, 225)(149, 218)(150, 228)(151, 230)(152, 220)(153, 231)(154, 235)(155, 222)(156, 236)(157, 223)(158, 239)(159, 224)(160, 244)(161, 246)(162, 226)(163, 247)(164, 227)(165, 252)(166, 254)(167, 229)(168, 253)(169, 251)(170, 250)(171, 232)(172, 249)(173, 233)(174, 248)(175, 234)(176, 245)(177, 243)(178, 260)(179, 237)(180, 241)(181, 238)(182, 240)(183, 242)(184, 266)(185, 268)(186, 267)(187, 265)(188, 255)(189, 270)(190, 272)(191, 271)(192, 269)(193, 256)(194, 259)(195, 257)(196, 258)(197, 261)(198, 264)(199, 262)(200, 263)(201, 282)(202, 284)(203, 283)(204, 281)(205, 286)(206, 288)(207, 287)(208, 285)(209, 273)(210, 276)(211, 274)(212, 275)(213, 277)(214, 280)(215, 278)(216, 279)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1431
Transitivity :: VT+
Graph::
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.1434 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-1)^2, (Y2^-1 * Y1 * Y2^-2 * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 10, 82)(6, 78, 12, 84)(8, 80, 15, 87)(11, 83, 20, 92)(13, 85, 23, 95)(14, 86, 25, 97)(16, 88, 28, 100)(17, 89, 30, 102)(18, 90, 31, 103)(19, 91, 33, 105)(21, 93, 36, 108)(22, 94, 38, 110)(24, 96, 35, 107)(26, 98, 37, 109)(27, 99, 32, 104)(29, 101, 34, 106)(39, 111, 49, 121)(40, 112, 50, 122)(41, 113, 51, 123)(42, 114, 52, 124)(43, 115, 48, 120)(44, 116, 53, 125)(45, 117, 54, 126)(46, 118, 55, 127)(47, 119, 56, 128)(57, 129, 65, 137)(58, 130, 66, 138)(59, 131, 67, 139)(60, 132, 68, 140)(61, 133, 69, 141)(62, 134, 70, 142)(63, 135, 71, 143)(64, 136, 72, 144)(145, 217, 147, 219, 152, 224, 148, 220)(146, 218, 149, 221, 155, 227, 150, 222)(151, 223, 157, 229, 168, 240, 158, 230)(153, 225, 160, 232, 173, 245, 161, 233)(154, 226, 162, 234, 176, 248, 163, 235)(156, 228, 165, 237, 181, 253, 166, 238)(159, 231, 170, 242, 187, 259, 171, 243)(164, 236, 178, 250, 192, 264, 179, 251)(167, 239, 183, 255, 174, 246, 184, 256)(169, 241, 185, 257, 172, 244, 186, 258)(175, 247, 188, 260, 182, 254, 189, 261)(177, 249, 190, 262, 180, 252, 191, 263)(193, 265, 201, 273, 196, 268, 202, 274)(194, 266, 203, 275, 195, 267, 204, 276)(197, 269, 205, 277, 200, 272, 206, 278)(198, 270, 207, 279, 199, 271, 208, 280)(209, 281, 214, 286, 212, 284, 215, 287)(210, 282, 216, 288, 211, 283, 213, 285)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1435 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1 * Y3^-1)^2, (Y1 * Y3^-1)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, (Y3^-2 * Y2)^2, Y3^9, Y3^-1 * Y2 * Y3^2 * Y1 * Y2 * Y3^3 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 18, 90)(6, 78, 8, 80)(7, 79, 22, 94)(9, 81, 27, 99)(12, 84, 17, 89)(13, 85, 31, 103)(14, 86, 26, 98)(15, 87, 24, 96)(16, 88, 30, 102)(19, 91, 38, 110)(20, 92, 40, 112)(21, 93, 25, 97)(23, 95, 43, 115)(28, 100, 46, 118)(29, 101, 48, 120)(32, 104, 37, 109)(33, 105, 51, 123)(34, 106, 35, 107)(36, 108, 50, 122)(39, 111, 54, 126)(41, 113, 56, 128)(42, 114, 45, 117)(44, 116, 59, 131)(47, 119, 62, 134)(49, 121, 64, 136)(52, 124, 67, 139)(53, 125, 66, 138)(55, 127, 69, 141)(57, 129, 71, 143)(58, 130, 61, 133)(60, 132, 72, 144)(63, 135, 70, 142)(65, 137, 68, 140)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 158, 230, 153, 225)(148, 220, 159, 231, 179, 251, 161, 233)(150, 222, 164, 236, 162, 234, 157, 229)(152, 224, 168, 240, 181, 253, 170, 242)(154, 226, 173, 245, 171, 243, 167, 239)(155, 227, 163, 235, 176, 248, 169, 241)(160, 232, 166, 238, 172, 244, 178, 250)(165, 237, 183, 255, 175, 247, 185, 257)(174, 246, 191, 263, 187, 259, 193, 265)(177, 249, 182, 254, 189, 261, 184, 256)(180, 252, 192, 264, 188, 260, 190, 262)(186, 258, 196, 268, 200, 272, 199, 271)(194, 266, 204, 276, 208, 280, 207, 279)(195, 267, 205, 277, 198, 270, 201, 273)(197, 269, 206, 278, 209, 281, 203, 275)(202, 274, 216, 288, 213, 285, 212, 284)(210, 282, 211, 283, 214, 286, 215, 287)
	L = (1, 148)(2, 152)(3, 157)(4, 160)(5, 163)(6, 145)(7, 167)(8, 169)(9, 172)(10, 146)(11, 170)(12, 151)(13, 177)(14, 147)(15, 149)(16, 180)(17, 181)(18, 168)(19, 183)(20, 185)(21, 150)(22, 161)(23, 188)(24, 153)(25, 189)(26, 179)(27, 159)(28, 191)(29, 193)(30, 154)(31, 155)(32, 156)(33, 196)(34, 158)(35, 173)(36, 197)(37, 164)(38, 162)(39, 199)(40, 176)(41, 201)(42, 165)(43, 166)(44, 204)(45, 205)(46, 171)(47, 207)(48, 178)(49, 209)(50, 174)(51, 175)(52, 212)(53, 202)(54, 182)(55, 214)(56, 184)(57, 216)(58, 186)(59, 187)(60, 215)(61, 210)(62, 190)(63, 213)(64, 192)(65, 211)(66, 194)(67, 195)(68, 208)(69, 198)(70, 206)(71, 200)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1436 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x ((C3 x C3) : C2) (small group id <72, 32>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 145>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 16, 88)(6, 78, 8, 80)(7, 79, 18, 90)(9, 81, 23, 95)(12, 84, 19, 91)(13, 85, 28, 100)(14, 86, 26, 98)(15, 87, 31, 103)(17, 89, 32, 104)(20, 92, 36, 108)(21, 93, 34, 106)(22, 94, 39, 111)(24, 96, 40, 112)(25, 97, 41, 113)(27, 99, 45, 117)(29, 101, 38, 110)(30, 102, 37, 109)(33, 105, 47, 119)(35, 107, 51, 123)(42, 114, 56, 128)(43, 115, 54, 126)(44, 116, 57, 129)(46, 118, 58, 130)(48, 120, 62, 134)(49, 121, 60, 132)(50, 122, 63, 135)(52, 124, 64, 136)(53, 125, 59, 131)(55, 127, 61, 133)(65, 137, 70, 142)(66, 138, 69, 141)(67, 139, 72, 144)(68, 140, 71, 143)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 163, 235, 153, 225)(148, 220, 158, 230, 173, 245, 159, 231)(150, 222, 157, 229, 174, 246, 161, 233)(152, 224, 165, 237, 181, 253, 166, 238)(154, 226, 164, 236, 182, 254, 168, 240)(155, 227, 169, 241, 160, 232, 171, 243)(162, 234, 177, 249, 167, 239, 179, 251)(170, 242, 187, 259, 175, 247, 188, 260)(172, 244, 186, 258, 176, 248, 190, 262)(178, 250, 193, 265, 183, 255, 194, 266)(180, 252, 192, 264, 184, 256, 196, 268)(185, 257, 197, 269, 189, 261, 199, 271)(191, 263, 203, 275, 195, 267, 205, 277)(198, 270, 210, 282, 201, 273, 211, 283)(200, 272, 209, 281, 202, 274, 212, 284)(204, 276, 214, 286, 207, 279, 215, 287)(206, 278, 213, 285, 208, 280, 216, 288)
	L = (1, 148)(2, 152)(3, 157)(4, 150)(5, 161)(6, 145)(7, 164)(8, 154)(9, 168)(10, 146)(11, 170)(12, 173)(13, 158)(14, 147)(15, 149)(16, 175)(17, 159)(18, 178)(19, 181)(20, 165)(21, 151)(22, 153)(23, 183)(24, 166)(25, 186)(26, 172)(27, 190)(28, 155)(29, 174)(30, 156)(31, 176)(32, 160)(33, 192)(34, 180)(35, 196)(36, 162)(37, 182)(38, 163)(39, 184)(40, 167)(41, 198)(42, 187)(43, 169)(44, 171)(45, 201)(46, 188)(47, 204)(48, 193)(49, 177)(50, 179)(51, 207)(52, 194)(53, 209)(54, 200)(55, 212)(56, 185)(57, 202)(58, 189)(59, 213)(60, 206)(61, 216)(62, 191)(63, 208)(64, 195)(65, 210)(66, 197)(67, 199)(68, 211)(69, 214)(70, 203)(71, 205)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1437 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x ((C3 x C3) : C2) (small group id <72, 32>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 145>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y3^-1 * Y1)^2, Y2^-2 * Y3^-3, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1, R * Y2 * Y3 * R * Y2^-1, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 20, 92)(9, 81, 26, 98)(12, 84, 21, 93)(13, 85, 32, 104)(14, 86, 30, 102)(15, 87, 28, 100)(16, 88, 33, 105)(18, 90, 34, 106)(19, 91, 24, 96)(22, 94, 38, 110)(23, 95, 36, 108)(25, 97, 39, 111)(27, 99, 40, 112)(29, 101, 41, 113)(31, 103, 45, 117)(35, 107, 47, 119)(37, 109, 51, 123)(42, 114, 56, 128)(43, 115, 54, 126)(44, 116, 57, 129)(46, 118, 58, 130)(48, 120, 62, 134)(49, 121, 60, 132)(50, 122, 63, 135)(52, 124, 64, 136)(53, 125, 59, 131)(55, 127, 61, 133)(65, 137, 70, 142)(66, 138, 69, 141)(67, 139, 72, 144)(68, 140, 71, 143)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 165, 237, 153, 225)(148, 220, 158, 230, 163, 235, 160, 232)(150, 222, 157, 229, 159, 231, 162, 234)(152, 224, 167, 239, 172, 244, 169, 241)(154, 226, 166, 238, 168, 240, 171, 243)(155, 227, 173, 245, 161, 233, 175, 247)(164, 236, 179, 251, 170, 242, 181, 253)(174, 246, 187, 259, 177, 249, 188, 260)(176, 248, 186, 258, 178, 250, 190, 262)(180, 252, 193, 265, 183, 255, 194, 266)(182, 254, 192, 264, 184, 256, 196, 268)(185, 257, 197, 269, 189, 261, 199, 271)(191, 263, 203, 275, 195, 267, 205, 277)(198, 270, 210, 282, 201, 273, 211, 283)(200, 272, 209, 281, 202, 274, 212, 284)(204, 276, 214, 286, 207, 279, 215, 287)(206, 278, 213, 285, 208, 280, 216, 288)
	L = (1, 148)(2, 152)(3, 157)(4, 159)(5, 162)(6, 145)(7, 166)(8, 168)(9, 171)(10, 146)(11, 174)(12, 163)(13, 160)(14, 147)(15, 156)(16, 149)(17, 177)(18, 158)(19, 150)(20, 180)(21, 172)(22, 169)(23, 151)(24, 165)(25, 153)(26, 183)(27, 167)(28, 154)(29, 186)(30, 178)(31, 190)(32, 155)(33, 176)(34, 161)(35, 192)(36, 184)(37, 196)(38, 164)(39, 182)(40, 170)(41, 198)(42, 188)(43, 173)(44, 175)(45, 201)(46, 187)(47, 204)(48, 194)(49, 179)(50, 181)(51, 207)(52, 193)(53, 209)(54, 202)(55, 212)(56, 185)(57, 200)(58, 189)(59, 213)(60, 208)(61, 216)(62, 191)(63, 206)(64, 195)(65, 211)(66, 197)(67, 199)(68, 210)(69, 215)(70, 203)(71, 205)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1438 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C6 x C6) : C2 (small group id <72, 35>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y3 * Y2)^3, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 74, 2, 78, 6, 77, 5, 73)(3, 81, 9, 89, 17, 83, 11, 75)(4, 84, 12, 90, 18, 86, 14, 76)(7, 91, 19, 87, 15, 93, 21, 79)(8, 94, 22, 88, 16, 96, 24, 80)(10, 95, 23, 106, 34, 100, 28, 82)(13, 92, 20, 107, 35, 104, 32, 85)(25, 115, 43, 101, 29, 117, 45, 97)(26, 118, 46, 102, 30, 119, 47, 98)(27, 116, 44, 124, 52, 120, 48, 99)(31, 122, 50, 105, 33, 123, 51, 103)(36, 125, 53, 111, 39, 127, 55, 108)(37, 128, 56, 112, 40, 129, 57, 109)(38, 126, 54, 121, 49, 130, 58, 110)(41, 131, 59, 114, 42, 132, 60, 113)(61, 141, 69, 135, 63, 139, 67, 133)(62, 144, 72, 136, 64, 143, 71, 134)(65, 142, 70, 138, 66, 140, 68, 137)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 27)(11, 29)(12, 26)(14, 30)(16, 28)(18, 35)(19, 36)(20, 38)(21, 39)(22, 37)(24, 40)(31, 44)(32, 49)(33, 48)(34, 52)(41, 54)(42, 58)(43, 61)(45, 63)(46, 62)(47, 64)(50, 65)(51, 66)(53, 67)(55, 69)(56, 68)(57, 70)(59, 71)(60, 72)(73, 76)(74, 80)(75, 82)(77, 88)(78, 90)(79, 92)(81, 98)(83, 102)(84, 103)(85, 99)(86, 105)(87, 104)(89, 106)(91, 109)(93, 112)(94, 113)(95, 110)(96, 114)(97, 116)(100, 121)(101, 120)(107, 124)(108, 126)(111, 130)(115, 134)(117, 136)(118, 137)(119, 138)(122, 133)(123, 135)(125, 140)(127, 142)(128, 143)(129, 144)(131, 139)(132, 141)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.1439 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C6 x C6) : C2 (small group id <72, 35>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y2, (Y2 * Y1)^3, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 4, 76, 14, 86, 5, 77)(2, 74, 7, 79, 22, 94, 8, 80)(3, 75, 10, 82, 28, 100, 11, 83)(6, 78, 18, 90, 37, 109, 19, 91)(9, 81, 25, 97, 43, 115, 26, 98)(12, 84, 30, 102, 15, 87, 31, 103)(13, 85, 32, 104, 16, 88, 33, 105)(17, 89, 34, 106, 52, 124, 35, 107)(20, 92, 39, 111, 23, 95, 40, 112)(21, 93, 41, 113, 24, 96, 42, 114)(27, 99, 44, 116, 29, 101, 45, 117)(36, 108, 53, 125, 38, 110, 54, 126)(46, 118, 61, 133, 48, 120, 62, 134)(47, 119, 63, 135, 49, 121, 64, 136)(50, 122, 65, 137, 51, 123, 66, 138)(55, 127, 67, 139, 57, 129, 68, 140)(56, 128, 69, 141, 58, 130, 70, 142)(59, 131, 71, 143, 60, 132, 72, 144)(145, 146)(147, 153)(148, 156)(149, 159)(150, 161)(151, 164)(152, 167)(154, 165)(155, 168)(157, 162)(158, 166)(160, 163)(169, 180)(170, 182)(171, 178)(172, 187)(173, 179)(174, 190)(175, 192)(176, 191)(177, 193)(181, 196)(183, 199)(184, 201)(185, 200)(186, 202)(188, 203)(189, 204)(194, 197)(195, 198)(205, 212)(206, 211)(207, 216)(208, 215)(209, 214)(210, 213)(217, 219)(218, 222)(220, 229)(221, 232)(223, 237)(224, 240)(225, 233)(226, 243)(227, 245)(228, 241)(230, 244)(231, 242)(234, 252)(235, 254)(236, 250)(238, 253)(239, 251)(246, 263)(247, 265)(248, 266)(249, 267)(255, 272)(256, 274)(257, 275)(258, 276)(259, 268)(260, 271)(261, 273)(262, 269)(264, 270)(277, 288)(278, 287)(279, 286)(280, 285)(281, 284)(282, 283)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1441
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.1440 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C6 x C6) : C2 (small group id <72, 35>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, Y2^4, Y1^4, Y2^2 * Y1^2, R * Y1 * R * Y2, (R * Y3)^2, Y2^2 * Y1^-2, Y2^-1 * Y3 * Y1^2 * Y3 * Y2^-1, (Y3 * Y1 * Y2^-1)^2, (Y1 * Y3 * Y2^-1)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, (Y2^-1 * Y1^-1)^3, Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 9, 81)(3, 75, 12, 84)(5, 77, 18, 90)(6, 78, 19, 91)(7, 79, 20, 92)(8, 80, 22, 94)(10, 82, 28, 100)(11, 83, 29, 101)(13, 85, 32, 104)(14, 86, 33, 105)(15, 87, 34, 106)(16, 88, 35, 107)(17, 89, 36, 108)(21, 93, 37, 109)(23, 95, 40, 112)(24, 96, 41, 113)(25, 97, 42, 114)(26, 98, 43, 115)(27, 99, 44, 116)(30, 102, 45, 117)(31, 103, 46, 118)(38, 110, 53, 125)(39, 111, 54, 126)(47, 119, 61, 133)(48, 120, 62, 134)(49, 121, 63, 135)(50, 122, 64, 136)(51, 123, 65, 137)(52, 124, 66, 138)(55, 127, 67, 139)(56, 128, 68, 140)(57, 129, 69, 141)(58, 130, 70, 142)(59, 131, 71, 143)(60, 132, 72, 144)(145, 146, 151, 149)(147, 155, 150, 157)(148, 158, 164, 160)(152, 165, 154, 167)(153, 168, 162, 170)(156, 169, 163, 171)(159, 166, 161, 172)(173, 183, 176, 182)(174, 184, 175, 181)(177, 191, 179, 193)(178, 192, 180, 194)(185, 199, 187, 201)(186, 200, 188, 202)(189, 203, 190, 204)(195, 197, 196, 198)(205, 213, 207, 211)(206, 215, 208, 216)(209, 212, 210, 214)(217, 219, 223, 222)(218, 224, 221, 226)(220, 231, 236, 233)(225, 241, 234, 243)(227, 239, 229, 237)(228, 246, 235, 247)(230, 245, 232, 248)(238, 254, 244, 255)(240, 253, 242, 256)(249, 264, 251, 266)(250, 267, 252, 268)(257, 272, 259, 274)(258, 275, 260, 276)(261, 273, 262, 271)(263, 270, 265, 269)(277, 287, 279, 288)(278, 284, 280, 286)(281, 283, 282, 285)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1442
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1441 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C6 x C6) : C2 (small group id <72, 35>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y2, (Y2 * Y1)^3, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 14, 86, 158, 230, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 22, 94, 166, 238, 8, 80, 152, 224)(3, 75, 147, 219, 10, 82, 154, 226, 28, 100, 172, 244, 11, 83, 155, 227)(6, 78, 150, 222, 18, 90, 162, 234, 37, 109, 181, 253, 19, 91, 163, 235)(9, 81, 153, 225, 25, 97, 169, 241, 43, 115, 187, 259, 26, 98, 170, 242)(12, 84, 156, 228, 30, 102, 174, 246, 15, 87, 159, 231, 31, 103, 175, 247)(13, 85, 157, 229, 32, 104, 176, 248, 16, 88, 160, 232, 33, 105, 177, 249)(17, 89, 161, 233, 34, 106, 178, 250, 52, 124, 196, 268, 35, 107, 179, 251)(20, 92, 164, 236, 39, 111, 183, 255, 23, 95, 167, 239, 40, 112, 184, 256)(21, 93, 165, 237, 41, 113, 185, 257, 24, 96, 168, 240, 42, 114, 186, 258)(27, 99, 171, 243, 44, 116, 188, 260, 29, 101, 173, 245, 45, 117, 189, 261)(36, 108, 180, 252, 53, 125, 197, 269, 38, 110, 182, 254, 54, 126, 198, 270)(46, 118, 190, 262, 61, 133, 205, 277, 48, 120, 192, 264, 62, 134, 206, 278)(47, 119, 191, 263, 63, 135, 207, 279, 49, 121, 193, 265, 64, 136, 208, 280)(50, 122, 194, 266, 65, 137, 209, 281, 51, 123, 195, 267, 66, 138, 210, 282)(55, 127, 199, 271, 67, 139, 211, 283, 57, 129, 201, 273, 68, 140, 212, 284)(56, 128, 200, 272, 69, 141, 213, 285, 58, 130, 202, 274, 70, 142, 214, 286)(59, 131, 203, 275, 71, 143, 215, 287, 60, 132, 204, 276, 72, 144, 216, 288)
	L = (1, 74)(2, 73)(3, 81)(4, 84)(5, 87)(6, 89)(7, 92)(8, 95)(9, 75)(10, 93)(11, 96)(12, 76)(13, 90)(14, 94)(15, 77)(16, 91)(17, 78)(18, 85)(19, 88)(20, 79)(21, 82)(22, 86)(23, 80)(24, 83)(25, 108)(26, 110)(27, 106)(28, 115)(29, 107)(30, 118)(31, 120)(32, 119)(33, 121)(34, 99)(35, 101)(36, 97)(37, 124)(38, 98)(39, 127)(40, 129)(41, 128)(42, 130)(43, 100)(44, 131)(45, 132)(46, 102)(47, 104)(48, 103)(49, 105)(50, 125)(51, 126)(52, 109)(53, 122)(54, 123)(55, 111)(56, 113)(57, 112)(58, 114)(59, 116)(60, 117)(61, 140)(62, 139)(63, 144)(64, 143)(65, 142)(66, 141)(67, 134)(68, 133)(69, 138)(70, 137)(71, 136)(72, 135)(145, 219)(146, 222)(147, 217)(148, 229)(149, 232)(150, 218)(151, 237)(152, 240)(153, 233)(154, 243)(155, 245)(156, 241)(157, 220)(158, 244)(159, 242)(160, 221)(161, 225)(162, 252)(163, 254)(164, 250)(165, 223)(166, 253)(167, 251)(168, 224)(169, 228)(170, 231)(171, 226)(172, 230)(173, 227)(174, 263)(175, 265)(176, 266)(177, 267)(178, 236)(179, 239)(180, 234)(181, 238)(182, 235)(183, 272)(184, 274)(185, 275)(186, 276)(187, 268)(188, 271)(189, 273)(190, 269)(191, 246)(192, 270)(193, 247)(194, 248)(195, 249)(196, 259)(197, 262)(198, 264)(199, 260)(200, 255)(201, 261)(202, 256)(203, 257)(204, 258)(205, 288)(206, 287)(207, 286)(208, 285)(209, 284)(210, 283)(211, 282)(212, 281)(213, 280)(214, 279)(215, 278)(216, 277)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1439
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 144 f = 90
	degree seq :: [ 16^18 ]

E19.1442 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C6 x C6) : C2 (small group id <72, 35>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, Y2^4, Y1^4, Y2^2 * Y1^2, R * Y1 * R * Y2, (R * Y3)^2, Y2^2 * Y1^-2, Y2^-1 * Y3 * Y1^2 * Y3 * Y2^-1, (Y3 * Y1 * Y2^-1)^2, (Y1 * Y3 * Y2^-1)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, (Y2^-1 * Y1^-1)^3, Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 9, 81, 153, 225)(3, 75, 147, 219, 12, 84, 156, 228)(5, 77, 149, 221, 18, 90, 162, 234)(6, 78, 150, 222, 19, 91, 163, 235)(7, 79, 151, 223, 20, 92, 164, 236)(8, 80, 152, 224, 22, 94, 166, 238)(10, 82, 154, 226, 28, 100, 172, 244)(11, 83, 155, 227, 29, 101, 173, 245)(13, 85, 157, 229, 32, 104, 176, 248)(14, 86, 158, 230, 33, 105, 177, 249)(15, 87, 159, 231, 34, 106, 178, 250)(16, 88, 160, 232, 35, 107, 179, 251)(17, 89, 161, 233, 36, 108, 180, 252)(21, 93, 165, 237, 37, 109, 181, 253)(23, 95, 167, 239, 40, 112, 184, 256)(24, 96, 168, 240, 41, 113, 185, 257)(25, 97, 169, 241, 42, 114, 186, 258)(26, 98, 170, 242, 43, 115, 187, 259)(27, 99, 171, 243, 44, 116, 188, 260)(30, 102, 174, 246, 45, 117, 189, 261)(31, 103, 175, 247, 46, 118, 190, 262)(38, 110, 182, 254, 53, 125, 197, 269)(39, 111, 183, 255, 54, 126, 198, 270)(47, 119, 191, 263, 61, 133, 205, 277)(48, 120, 192, 264, 62, 134, 206, 278)(49, 121, 193, 265, 63, 135, 207, 279)(50, 122, 194, 266, 64, 136, 208, 280)(51, 123, 195, 267, 65, 137, 209, 281)(52, 124, 196, 268, 66, 138, 210, 282)(55, 127, 199, 271, 67, 139, 211, 283)(56, 128, 200, 272, 68, 140, 212, 284)(57, 129, 201, 273, 69, 141, 213, 285)(58, 130, 202, 274, 70, 142, 214, 286)(59, 131, 203, 275, 71, 143, 215, 287)(60, 132, 204, 276, 72, 144, 216, 288)
	L = (1, 74)(2, 79)(3, 83)(4, 86)(5, 73)(6, 85)(7, 77)(8, 93)(9, 96)(10, 95)(11, 78)(12, 97)(13, 75)(14, 92)(15, 94)(16, 76)(17, 100)(18, 98)(19, 99)(20, 88)(21, 82)(22, 89)(23, 80)(24, 90)(25, 91)(26, 81)(27, 84)(28, 87)(29, 111)(30, 112)(31, 109)(32, 110)(33, 119)(34, 120)(35, 121)(36, 122)(37, 102)(38, 101)(39, 104)(40, 103)(41, 127)(42, 128)(43, 129)(44, 130)(45, 131)(46, 132)(47, 107)(48, 108)(49, 105)(50, 106)(51, 125)(52, 126)(53, 124)(54, 123)(55, 115)(56, 116)(57, 113)(58, 114)(59, 118)(60, 117)(61, 141)(62, 143)(63, 139)(64, 144)(65, 140)(66, 142)(67, 133)(68, 138)(69, 135)(70, 137)(71, 136)(72, 134)(145, 219)(146, 224)(147, 223)(148, 231)(149, 226)(150, 217)(151, 222)(152, 221)(153, 241)(154, 218)(155, 239)(156, 246)(157, 237)(158, 245)(159, 236)(160, 248)(161, 220)(162, 243)(163, 247)(164, 233)(165, 227)(166, 254)(167, 229)(168, 253)(169, 234)(170, 256)(171, 225)(172, 255)(173, 232)(174, 235)(175, 228)(176, 230)(177, 264)(178, 267)(179, 266)(180, 268)(181, 242)(182, 244)(183, 238)(184, 240)(185, 272)(186, 275)(187, 274)(188, 276)(189, 273)(190, 271)(191, 270)(192, 251)(193, 269)(194, 249)(195, 252)(196, 250)(197, 263)(198, 265)(199, 261)(200, 259)(201, 262)(202, 257)(203, 260)(204, 258)(205, 287)(206, 284)(207, 288)(208, 286)(209, 283)(210, 285)(211, 282)(212, 280)(213, 281)(214, 278)(215, 279)(216, 277)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1440
Transitivity :: VT+
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.1443 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C6 x C6) : C2 (small group id <72, 35>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^4, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 16, 88)(6, 78, 8, 80)(7, 79, 18, 90)(9, 81, 23, 95)(12, 84, 19, 91)(13, 85, 28, 100)(14, 86, 26, 98)(15, 87, 31, 103)(17, 89, 32, 104)(20, 92, 36, 108)(21, 93, 34, 106)(22, 94, 39, 111)(24, 96, 40, 112)(25, 97, 41, 113)(27, 99, 45, 117)(29, 101, 38, 110)(30, 102, 37, 109)(33, 105, 47, 119)(35, 107, 51, 123)(42, 114, 56, 128)(43, 115, 54, 126)(44, 116, 57, 129)(46, 118, 58, 130)(48, 120, 62, 134)(49, 121, 60, 132)(50, 122, 63, 135)(52, 124, 64, 136)(53, 125, 61, 133)(55, 127, 59, 131)(65, 137, 71, 143)(66, 138, 72, 144)(67, 139, 69, 141)(68, 140, 70, 142)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 163, 235, 153, 225)(148, 220, 158, 230, 173, 245, 159, 231)(150, 222, 157, 229, 174, 246, 161, 233)(152, 224, 165, 237, 181, 253, 166, 238)(154, 226, 164, 236, 182, 254, 168, 240)(155, 227, 169, 241, 160, 232, 171, 243)(162, 234, 177, 249, 167, 239, 179, 251)(170, 242, 187, 259, 175, 247, 188, 260)(172, 244, 186, 258, 176, 248, 190, 262)(178, 250, 193, 265, 183, 255, 194, 266)(180, 252, 192, 264, 184, 256, 196, 268)(185, 257, 197, 269, 189, 261, 199, 271)(191, 263, 203, 275, 195, 267, 205, 277)(198, 270, 210, 282, 201, 273, 211, 283)(200, 272, 209, 281, 202, 274, 212, 284)(204, 276, 214, 286, 207, 279, 215, 287)(206, 278, 213, 285, 208, 280, 216, 288)
	L = (1, 148)(2, 152)(3, 157)(4, 150)(5, 161)(6, 145)(7, 164)(8, 154)(9, 168)(10, 146)(11, 170)(12, 173)(13, 158)(14, 147)(15, 149)(16, 175)(17, 159)(18, 178)(19, 181)(20, 165)(21, 151)(22, 153)(23, 183)(24, 166)(25, 186)(26, 172)(27, 190)(28, 155)(29, 174)(30, 156)(31, 176)(32, 160)(33, 192)(34, 180)(35, 196)(36, 162)(37, 182)(38, 163)(39, 184)(40, 167)(41, 198)(42, 187)(43, 169)(44, 171)(45, 201)(46, 188)(47, 204)(48, 193)(49, 177)(50, 179)(51, 207)(52, 194)(53, 209)(54, 200)(55, 212)(56, 185)(57, 202)(58, 189)(59, 213)(60, 206)(61, 216)(62, 191)(63, 208)(64, 195)(65, 210)(66, 197)(67, 199)(68, 211)(69, 214)(70, 203)(71, 205)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1444 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C6 x C6) : C2 (small group id <72, 35>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3^-1 * Y1)^2, R * Y2 * Y3 * R * Y2^-1, Y2^-2 * Y3^-3, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 20, 92)(9, 81, 26, 98)(12, 84, 21, 93)(13, 85, 32, 104)(14, 86, 30, 102)(15, 87, 28, 100)(16, 88, 33, 105)(18, 90, 34, 106)(19, 91, 24, 96)(22, 94, 38, 110)(23, 95, 36, 108)(25, 97, 39, 111)(27, 99, 40, 112)(29, 101, 41, 113)(31, 103, 45, 117)(35, 107, 47, 119)(37, 109, 51, 123)(42, 114, 56, 128)(43, 115, 54, 126)(44, 116, 57, 129)(46, 118, 58, 130)(48, 120, 62, 134)(49, 121, 60, 132)(50, 122, 63, 135)(52, 124, 64, 136)(53, 125, 61, 133)(55, 127, 59, 131)(65, 137, 71, 143)(66, 138, 72, 144)(67, 139, 69, 141)(68, 140, 70, 142)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 165, 237, 153, 225)(148, 220, 158, 230, 163, 235, 160, 232)(150, 222, 157, 229, 159, 231, 162, 234)(152, 224, 167, 239, 172, 244, 169, 241)(154, 226, 166, 238, 168, 240, 171, 243)(155, 227, 173, 245, 161, 233, 175, 247)(164, 236, 179, 251, 170, 242, 181, 253)(174, 246, 187, 259, 177, 249, 188, 260)(176, 248, 186, 258, 178, 250, 190, 262)(180, 252, 193, 265, 183, 255, 194, 266)(182, 254, 192, 264, 184, 256, 196, 268)(185, 257, 197, 269, 189, 261, 199, 271)(191, 263, 203, 275, 195, 267, 205, 277)(198, 270, 210, 282, 201, 273, 211, 283)(200, 272, 209, 281, 202, 274, 212, 284)(204, 276, 214, 286, 207, 279, 215, 287)(206, 278, 213, 285, 208, 280, 216, 288)
	L = (1, 148)(2, 152)(3, 157)(4, 159)(5, 162)(6, 145)(7, 166)(8, 168)(9, 171)(10, 146)(11, 174)(12, 163)(13, 160)(14, 147)(15, 156)(16, 149)(17, 177)(18, 158)(19, 150)(20, 180)(21, 172)(22, 169)(23, 151)(24, 165)(25, 153)(26, 183)(27, 167)(28, 154)(29, 186)(30, 178)(31, 190)(32, 155)(33, 176)(34, 161)(35, 192)(36, 184)(37, 196)(38, 164)(39, 182)(40, 170)(41, 198)(42, 188)(43, 173)(44, 175)(45, 201)(46, 187)(47, 204)(48, 194)(49, 179)(50, 181)(51, 207)(52, 193)(53, 209)(54, 202)(55, 212)(56, 185)(57, 200)(58, 189)(59, 213)(60, 208)(61, 216)(62, 191)(63, 206)(64, 195)(65, 211)(66, 197)(67, 199)(68, 210)(69, 215)(70, 203)(71, 205)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1445 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, Y1^-1 * Y3 * Y1^-2 * Y2 * Y1^-1, (Y3 * Y2)^3, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2, (Y2 * Y1 * Y2 * Y1^-1)^2, Y1^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 74, 2, 78, 6, 77, 5, 73)(3, 81, 9, 90, 18, 83, 11, 75)(4, 84, 12, 89, 17, 86, 14, 76)(7, 91, 19, 88, 16, 93, 21, 79)(8, 94, 22, 87, 15, 96, 24, 80)(10, 99, 27, 113, 41, 101, 29, 82)(13, 106, 34, 112, 40, 107, 35, 85)(20, 116, 44, 111, 39, 118, 46, 92)(23, 123, 51, 110, 38, 124, 52, 95)(25, 115, 43, 103, 31, 119, 47, 97)(26, 122, 50, 102, 30, 125, 53, 98)(28, 131, 59, 136, 64, 117, 45, 100)(32, 114, 42, 109, 37, 120, 48, 104)(33, 121, 49, 108, 36, 126, 54, 105)(55, 140, 68, 135, 63, 141, 69, 127)(56, 144, 72, 134, 62, 137, 65, 128)(57, 138, 66, 133, 61, 143, 71, 129)(58, 142, 70, 132, 60, 139, 67, 130)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 28)(11, 30)(12, 32)(14, 36)(16, 39)(18, 41)(19, 42)(20, 45)(21, 47)(22, 49)(24, 53)(26, 56)(27, 57)(29, 60)(31, 63)(33, 61)(34, 62)(35, 55)(37, 58)(38, 59)(40, 64)(43, 66)(44, 67)(46, 69)(48, 72)(50, 70)(51, 71)(52, 65)(54, 68)(73, 76)(74, 80)(75, 82)(77, 88)(78, 90)(79, 92)(81, 98)(83, 103)(84, 105)(85, 100)(86, 109)(87, 110)(89, 112)(91, 115)(93, 120)(94, 122)(95, 117)(96, 126)(97, 127)(99, 130)(101, 133)(102, 134)(104, 132)(106, 135)(107, 128)(108, 129)(111, 131)(113, 136)(114, 137)(116, 140)(118, 142)(119, 143)(121, 141)(123, 144)(124, 138)(125, 139)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.1446 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y3 * R * Y2, Y1^4, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1 * Y2 * Y1)^2, (Y2 * Y1^-1)^6 ]
Map::
	R = (1, 74, 2, 77, 5, 76, 4, 73)(3, 79, 7, 85, 13, 80, 8, 75)(6, 83, 11, 92, 20, 84, 12, 78)(9, 88, 16, 99, 27, 89, 17, 81)(10, 90, 18, 101, 29, 91, 19, 82)(14, 96, 24, 106, 34, 94, 22, 86)(15, 97, 25, 110, 38, 98, 26, 87)(21, 105, 33, 116, 44, 103, 31, 93)(23, 107, 35, 121, 49, 108, 36, 95)(28, 102, 30, 115, 43, 113, 41, 100)(32, 117, 45, 132, 60, 118, 46, 104)(37, 124, 52, 136, 64, 123, 51, 109)(39, 122, 50, 134, 62, 119, 47, 111)(40, 126, 54, 138, 66, 127, 55, 112)(42, 128, 56, 139, 67, 129, 57, 114)(48, 133, 61, 141, 69, 130, 58, 120)(53, 131, 59, 140, 68, 137, 65, 125)(63, 143, 71, 144, 72, 142, 70, 135)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 25)(17, 28)(18, 30)(19, 31)(20, 32)(24, 37)(26, 39)(27, 40)(29, 42)(33, 47)(34, 48)(35, 50)(36, 51)(38, 53)(41, 52)(43, 58)(44, 59)(45, 61)(46, 62)(49, 63)(54, 64)(55, 65)(56, 68)(57, 69)(60, 70)(66, 71)(67, 72)(73, 75)(74, 78)(76, 81)(77, 82)(79, 86)(80, 87)(83, 93)(84, 94)(85, 95)(88, 97)(89, 100)(90, 102)(91, 103)(92, 104)(96, 109)(98, 111)(99, 112)(101, 114)(105, 119)(106, 120)(107, 122)(108, 123)(110, 125)(113, 124)(115, 130)(116, 131)(117, 133)(118, 134)(121, 135)(126, 136)(127, 137)(128, 140)(129, 141)(132, 142)(138, 143)(139, 144)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.1447 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y3 * Y1^-2 * Y2 * Y1^-1, (Y3 * Y2)^3, (Y2 * Y1^-1 * Y3 * Y1^-1)^2, (Y3 * Y1^-1)^4, Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2, Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y2, (Y2 * Y1^-1)^4, (Y3 * Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 74, 2, 78, 6, 77, 5, 73)(3, 81, 9, 90, 18, 83, 11, 75)(4, 84, 12, 89, 17, 86, 14, 76)(7, 91, 19, 88, 16, 93, 21, 79)(8, 94, 22, 87, 15, 96, 24, 80)(10, 99, 27, 113, 41, 101, 29, 82)(13, 106, 34, 112, 40, 107, 35, 85)(20, 116, 44, 111, 39, 118, 46, 92)(23, 123, 51, 110, 38, 124, 52, 95)(25, 121, 49, 103, 31, 126, 54, 97)(26, 114, 42, 102, 30, 120, 48, 98)(28, 117, 45, 136, 64, 131, 59, 100)(32, 122, 50, 109, 37, 125, 53, 104)(33, 115, 43, 108, 36, 119, 47, 105)(55, 138, 66, 135, 63, 143, 71, 127)(56, 140, 68, 134, 62, 141, 69, 128)(57, 137, 65, 133, 61, 144, 72, 129)(58, 139, 67, 132, 60, 142, 70, 130)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 28)(11, 30)(12, 32)(14, 36)(16, 39)(18, 41)(19, 42)(20, 45)(21, 47)(22, 49)(24, 53)(26, 56)(27, 57)(29, 60)(31, 63)(33, 58)(34, 55)(35, 62)(37, 61)(38, 59)(40, 64)(43, 66)(44, 67)(46, 69)(48, 72)(50, 68)(51, 65)(52, 71)(54, 70)(73, 76)(74, 80)(75, 82)(77, 88)(78, 90)(79, 92)(81, 98)(83, 103)(84, 105)(85, 100)(86, 109)(87, 110)(89, 112)(91, 115)(93, 120)(94, 122)(95, 117)(96, 126)(97, 127)(99, 130)(101, 133)(102, 134)(104, 129)(106, 128)(107, 135)(108, 132)(111, 131)(113, 136)(114, 137)(116, 140)(118, 142)(119, 143)(121, 139)(123, 138)(124, 144)(125, 141)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.1448 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y3 * R * Y2, Y1^4, (Y2 * Y1^-1)^4, (Y2 * Y1)^4, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map::
	R = (1, 74, 2, 77, 5, 76, 4, 73)(3, 79, 7, 85, 13, 80, 8, 75)(6, 83, 11, 92, 20, 84, 12, 78)(9, 88, 16, 99, 27, 89, 17, 81)(10, 90, 18, 101, 29, 91, 19, 82)(14, 96, 24, 109, 37, 97, 25, 86)(15, 98, 26, 105, 33, 93, 21, 87)(22, 106, 34, 115, 43, 102, 30, 94)(23, 107, 35, 121, 49, 108, 36, 95)(28, 103, 31, 116, 44, 113, 41, 100)(32, 117, 45, 132, 60, 118, 46, 104)(38, 120, 48, 134, 62, 122, 50, 110)(39, 123, 51, 136, 64, 125, 53, 111)(40, 126, 54, 138, 66, 127, 55, 112)(42, 128, 56, 139, 67, 129, 57, 114)(47, 131, 59, 141, 69, 133, 61, 119)(52, 137, 65, 140, 68, 130, 58, 124)(63, 142, 70, 144, 72, 143, 71, 135)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 28)(17, 24)(18, 30)(19, 31)(20, 32)(25, 38)(26, 39)(27, 40)(29, 42)(33, 47)(34, 48)(35, 50)(36, 51)(37, 52)(41, 53)(43, 58)(44, 59)(45, 61)(46, 62)(49, 63)(54, 64)(55, 65)(56, 68)(57, 69)(60, 70)(66, 71)(67, 72)(73, 75)(74, 78)(76, 81)(77, 82)(79, 86)(80, 87)(83, 93)(84, 94)(85, 95)(88, 100)(89, 96)(90, 102)(91, 103)(92, 104)(97, 110)(98, 111)(99, 112)(101, 114)(105, 119)(106, 120)(107, 122)(108, 123)(109, 124)(113, 125)(115, 130)(116, 131)(117, 133)(118, 134)(121, 135)(126, 136)(127, 137)(128, 140)(129, 141)(132, 142)(138, 143)(139, 144)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.1449 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3^2 * Y1 * Y3^-2, (Y2 * Y1)^3, (Y3^-1 * Y2 * Y3 * Y2)^2, (Y2 * Y1 * Y3^-1 * Y1)^2, (Y3^-1 * Y1 * Y3 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 73, 4, 76, 14, 86, 5, 77)(2, 74, 7, 79, 22, 94, 8, 80)(3, 75, 10, 82, 29, 101, 11, 83)(6, 78, 18, 90, 44, 116, 19, 91)(9, 81, 25, 97, 55, 127, 26, 98)(12, 84, 33, 105, 16, 88, 34, 106)(13, 85, 36, 108, 15, 87, 37, 109)(17, 89, 40, 112, 64, 136, 41, 113)(20, 92, 48, 120, 24, 96, 49, 121)(21, 93, 51, 123, 23, 95, 52, 124)(27, 99, 56, 128, 31, 103, 57, 129)(28, 100, 58, 130, 30, 102, 59, 131)(32, 104, 60, 132, 39, 111, 61, 133)(35, 107, 62, 134, 38, 110, 63, 135)(42, 114, 65, 137, 46, 118, 66, 138)(43, 115, 67, 139, 45, 117, 68, 140)(47, 119, 69, 141, 54, 126, 70, 142)(50, 122, 71, 143, 53, 125, 72, 144)(145, 146)(147, 153)(148, 156)(149, 159)(150, 161)(151, 164)(152, 167)(154, 171)(155, 174)(157, 179)(158, 173)(160, 183)(162, 186)(163, 189)(165, 194)(166, 188)(168, 198)(169, 197)(170, 191)(172, 190)(175, 187)(176, 185)(177, 200)(178, 193)(180, 202)(181, 196)(182, 184)(192, 209)(195, 211)(199, 208)(201, 215)(203, 213)(204, 212)(205, 214)(206, 210)(207, 216)(217, 219)(218, 222)(220, 229)(221, 232)(223, 237)(224, 240)(225, 233)(226, 244)(227, 247)(228, 248)(230, 238)(231, 254)(234, 259)(235, 262)(236, 263)(239, 269)(241, 270)(242, 266)(243, 261)(245, 271)(246, 258)(249, 264)(250, 273)(251, 257)(252, 267)(253, 275)(255, 256)(260, 280)(265, 282)(268, 284)(272, 288)(274, 286)(276, 285)(277, 283)(278, 287)(279, 281)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1455
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.1450 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1 * Y3^-1 * Y1)^2, (Y1 * Y3 * Y1 * Y3^-1)^2, (Y3 * Y1)^6, Y3^-2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1, Y3^-2 * Y1 * Y3^2 * Y1 * Y3^2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 ]
Map::
	R = (1, 73, 3, 75, 8, 80, 4, 76)(2, 74, 5, 77, 11, 83, 6, 78)(7, 79, 13, 85, 24, 96, 14, 86)(9, 81, 16, 88, 27, 99, 17, 89)(10, 82, 18, 90, 30, 102, 19, 91)(12, 84, 21, 93, 33, 105, 22, 94)(15, 87, 25, 97, 39, 111, 26, 98)(20, 92, 31, 103, 46, 118, 32, 104)(23, 95, 35, 107, 49, 121, 36, 108)(28, 100, 38, 110, 52, 124, 41, 113)(29, 101, 42, 114, 56, 128, 43, 115)(34, 106, 45, 117, 59, 131, 48, 120)(37, 109, 50, 122, 63, 135, 51, 123)(40, 112, 54, 126, 66, 138, 55, 127)(44, 116, 57, 129, 67, 139, 58, 130)(47, 119, 61, 133, 70, 142, 62, 134)(53, 125, 64, 136, 71, 143, 65, 137)(60, 132, 68, 140, 72, 144, 69, 141)(145, 146)(147, 151)(148, 153)(149, 154)(150, 156)(152, 159)(155, 164)(157, 167)(158, 163)(160, 165)(161, 172)(162, 173)(166, 178)(168, 181)(169, 182)(170, 180)(171, 184)(174, 188)(175, 189)(176, 187)(177, 191)(179, 192)(183, 197)(185, 186)(190, 204)(193, 205)(194, 201)(195, 203)(196, 202)(198, 200)(199, 206)(207, 213)(208, 214)(209, 211)(210, 212)(215, 216)(217, 218)(219, 223)(220, 225)(221, 226)(222, 228)(224, 231)(227, 236)(229, 239)(230, 235)(232, 237)(233, 244)(234, 245)(238, 250)(240, 253)(241, 254)(242, 252)(243, 256)(246, 260)(247, 261)(248, 259)(249, 263)(251, 264)(255, 269)(257, 258)(262, 276)(265, 277)(266, 273)(267, 275)(268, 274)(270, 272)(271, 278)(279, 285)(280, 286)(281, 283)(282, 284)(287, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1456
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.1451 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y3^-2 * Y1 * Y3^-2 * Y2, (Y1 * Y2)^3, (Y3^-1 * Y2 * Y3^-1 * Y1)^2, (Y3^-1 * Y1)^4, (Y3^-1 * Y2)^4, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1, (Y1 * Y3^-1 * Y2)^4 ]
Map:: polytopal
	R = (1, 73, 4, 76, 14, 86, 5, 77)(2, 74, 7, 79, 22, 94, 8, 80)(3, 75, 10, 82, 29, 101, 11, 83)(6, 78, 18, 90, 44, 116, 19, 91)(9, 81, 25, 97, 55, 127, 26, 98)(12, 84, 33, 105, 16, 88, 34, 106)(13, 85, 36, 108, 15, 87, 37, 109)(17, 89, 40, 112, 64, 136, 41, 113)(20, 92, 48, 120, 24, 96, 49, 121)(21, 93, 51, 123, 23, 95, 52, 124)(27, 99, 56, 128, 31, 103, 57, 129)(28, 100, 58, 130, 30, 102, 59, 131)(32, 104, 60, 132, 39, 111, 61, 133)(35, 107, 62, 134, 38, 110, 63, 135)(42, 114, 65, 137, 46, 118, 66, 138)(43, 115, 67, 139, 45, 117, 68, 140)(47, 119, 69, 141, 54, 126, 70, 142)(50, 122, 71, 143, 53, 125, 72, 144)(145, 146)(147, 153)(148, 156)(149, 159)(150, 161)(151, 164)(152, 167)(154, 171)(155, 174)(157, 179)(158, 173)(160, 183)(162, 186)(163, 189)(165, 194)(166, 188)(168, 198)(169, 191)(170, 197)(172, 187)(175, 190)(176, 184)(177, 195)(178, 203)(180, 192)(181, 201)(182, 185)(193, 212)(196, 210)(199, 208)(200, 215)(202, 213)(204, 211)(205, 216)(206, 209)(207, 214)(217, 219)(218, 222)(220, 229)(221, 232)(223, 237)(224, 240)(225, 233)(226, 244)(227, 247)(228, 248)(230, 238)(231, 254)(234, 259)(235, 262)(236, 263)(239, 269)(241, 266)(242, 270)(243, 258)(245, 271)(246, 261)(249, 274)(250, 268)(251, 256)(252, 272)(253, 265)(255, 257)(260, 280)(264, 283)(267, 281)(273, 288)(275, 286)(276, 287)(277, 284)(278, 285)(279, 282)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1457
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.1452 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y1)^4, (Y3^-1 * Y1)^4, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 73, 3, 75, 8, 80, 4, 76)(2, 74, 5, 77, 11, 83, 6, 78)(7, 79, 13, 85, 23, 95, 14, 86)(9, 81, 16, 88, 28, 100, 17, 89)(10, 82, 18, 90, 29, 101, 19, 91)(12, 84, 21, 93, 34, 106, 22, 94)(15, 87, 25, 97, 38, 110, 26, 98)(20, 92, 31, 103, 45, 117, 32, 104)(24, 96, 36, 108, 51, 123, 37, 109)(27, 99, 39, 111, 53, 125, 40, 112)(30, 102, 43, 115, 58, 130, 44, 116)(33, 105, 46, 118, 60, 132, 47, 119)(35, 107, 49, 121, 63, 135, 50, 122)(41, 113, 54, 126, 66, 138, 55, 127)(42, 114, 56, 128, 67, 139, 57, 129)(48, 120, 61, 133, 70, 142, 62, 134)(52, 124, 64, 136, 71, 143, 65, 137)(59, 131, 68, 140, 72, 144, 69, 141)(145, 146)(147, 151)(148, 153)(149, 154)(150, 156)(152, 159)(155, 164)(157, 166)(158, 168)(160, 171)(161, 162)(163, 174)(165, 177)(167, 179)(169, 181)(170, 183)(172, 185)(173, 186)(175, 188)(176, 190)(178, 192)(180, 187)(182, 196)(184, 191)(189, 203)(193, 206)(194, 202)(195, 201)(197, 205)(198, 204)(199, 200)(207, 212)(208, 211)(209, 214)(210, 213)(215, 216)(217, 218)(219, 223)(220, 225)(221, 226)(222, 228)(224, 231)(227, 236)(229, 238)(230, 240)(232, 243)(233, 234)(235, 246)(237, 249)(239, 251)(241, 253)(242, 255)(244, 257)(245, 258)(247, 260)(248, 262)(250, 264)(252, 259)(254, 268)(256, 263)(261, 275)(265, 278)(266, 274)(267, 273)(269, 277)(270, 276)(271, 272)(279, 284)(280, 283)(281, 286)(282, 285)(287, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1458
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.1453 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^4, (R * Y3)^2, R * Y2 * R * Y1, Y2^2 * Y1^-2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 4, 76)(2, 74, 6, 78)(3, 75, 7, 79)(5, 77, 10, 82)(8, 80, 16, 88)(9, 81, 17, 89)(11, 83, 21, 93)(12, 84, 22, 94)(13, 85, 24, 96)(14, 86, 25, 97)(15, 87, 26, 98)(18, 90, 30, 102)(19, 91, 31, 103)(20, 92, 32, 104)(23, 95, 35, 107)(27, 99, 40, 112)(28, 100, 41, 113)(29, 101, 42, 114)(33, 105, 47, 119)(34, 106, 48, 120)(36, 108, 51, 123)(37, 109, 52, 124)(38, 110, 54, 126)(39, 111, 55, 127)(43, 115, 58, 130)(44, 116, 59, 131)(45, 117, 61, 133)(46, 118, 62, 134)(49, 121, 64, 136)(50, 122, 65, 137)(53, 125, 66, 138)(56, 128, 68, 140)(57, 129, 69, 141)(60, 132, 70, 142)(63, 135, 71, 143)(67, 139, 72, 144)(145, 146, 149, 147)(148, 152, 159, 153)(150, 155, 164, 156)(151, 157, 167, 158)(154, 162, 173, 163)(160, 171, 178, 166)(161, 168, 180, 172)(165, 177, 188, 175)(169, 174, 187, 181)(170, 182, 197, 183)(176, 189, 204, 190)(179, 193, 207, 194)(184, 196, 208, 199)(185, 198, 206, 191)(186, 200, 211, 201)(192, 205, 213, 202)(195, 203, 212, 209)(210, 215, 216, 214)(217, 219, 221, 218)(220, 225, 231, 224)(222, 228, 236, 227)(223, 230, 239, 229)(226, 235, 245, 234)(232, 238, 250, 243)(233, 244, 252, 240)(237, 247, 260, 249)(241, 253, 259, 246)(242, 255, 269, 254)(248, 262, 276, 261)(251, 266, 279, 265)(256, 271, 280, 268)(257, 263, 278, 270)(258, 273, 283, 272)(264, 274, 285, 277)(267, 281, 284, 275)(282, 286, 288, 287)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1459
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1454 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, R * Y2 * R * Y1, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, Y1^4, Y1^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y2 * Y1^-1)^3, Y2^-2 * Y3 * Y2^-1 * Y3 * Y1, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y2^-1 * Y3 * Y1^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 9, 81)(3, 75, 13, 85)(5, 77, 20, 92)(6, 78, 22, 94)(7, 79, 24, 96)(8, 80, 27, 99)(10, 82, 34, 106)(11, 83, 36, 108)(12, 84, 39, 111)(14, 86, 42, 114)(15, 87, 23, 95)(16, 88, 26, 98)(17, 89, 28, 100)(18, 90, 40, 112)(19, 91, 29, 101)(21, 93, 45, 117)(25, 97, 55, 127)(30, 102, 49, 121)(31, 103, 50, 122)(32, 104, 57, 129)(33, 105, 60, 132)(35, 107, 59, 131)(37, 109, 51, 123)(38, 110, 61, 133)(41, 113, 63, 135)(43, 115, 67, 139)(44, 116, 54, 126)(46, 118, 52, 124)(47, 119, 65, 137)(48, 120, 66, 138)(53, 125, 69, 141)(56, 128, 70, 142)(58, 130, 72, 144)(62, 134, 71, 143)(64, 136, 68, 140)(145, 146, 151, 149)(147, 155, 179, 158)(148, 159, 176, 161)(150, 165, 172, 152)(153, 173, 197, 175)(154, 177, 194, 167)(156, 182, 210, 184)(157, 185, 196, 168)(160, 187, 199, 189)(162, 186, 164, 171)(163, 169, 198, 190)(166, 188, 195, 192)(170, 200, 215, 201)(174, 202, 180, 204)(178, 203, 183, 206)(181, 209, 216, 207)(191, 208, 214, 205)(193, 212, 211, 213)(217, 219, 228, 222)(218, 224, 242, 226)(220, 232, 260, 234)(221, 235, 253, 227)(223, 239, 265, 241)(225, 246, 275, 248)(229, 245, 231, 243)(230, 249, 273, 254)(233, 250, 277, 259)(236, 255, 276, 257)(237, 256, 281, 262)(238, 263, 278, 258)(240, 267, 261, 269)(244, 270, 285, 272)(247, 271, 286, 274)(251, 279, 284, 266)(252, 280, 264, 268)(282, 287, 283, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1460
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1455 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3^2 * Y1 * Y3^-2, (Y2 * Y1)^3, (Y3^-1 * Y2 * Y3 * Y2)^2, (Y2 * Y1 * Y3^-1 * Y1)^2, (Y3^-1 * Y1 * Y3 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 14, 86, 158, 230, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 22, 94, 166, 238, 8, 80, 152, 224)(3, 75, 147, 219, 10, 82, 154, 226, 29, 101, 173, 245, 11, 83, 155, 227)(6, 78, 150, 222, 18, 90, 162, 234, 44, 116, 188, 260, 19, 91, 163, 235)(9, 81, 153, 225, 25, 97, 169, 241, 55, 127, 199, 271, 26, 98, 170, 242)(12, 84, 156, 228, 33, 105, 177, 249, 16, 88, 160, 232, 34, 106, 178, 250)(13, 85, 157, 229, 36, 108, 180, 252, 15, 87, 159, 231, 37, 109, 181, 253)(17, 89, 161, 233, 40, 112, 184, 256, 64, 136, 208, 280, 41, 113, 185, 257)(20, 92, 164, 236, 48, 120, 192, 264, 24, 96, 168, 240, 49, 121, 193, 265)(21, 93, 165, 237, 51, 123, 195, 267, 23, 95, 167, 239, 52, 124, 196, 268)(27, 99, 171, 243, 56, 128, 200, 272, 31, 103, 175, 247, 57, 129, 201, 273)(28, 100, 172, 244, 58, 130, 202, 274, 30, 102, 174, 246, 59, 131, 203, 275)(32, 104, 176, 248, 60, 132, 204, 276, 39, 111, 183, 255, 61, 133, 205, 277)(35, 107, 179, 251, 62, 134, 206, 278, 38, 110, 182, 254, 63, 135, 207, 279)(42, 114, 186, 258, 65, 137, 209, 281, 46, 118, 190, 262, 66, 138, 210, 282)(43, 115, 187, 259, 67, 139, 211, 283, 45, 117, 189, 261, 68, 140, 212, 284)(47, 119, 191, 263, 69, 141, 213, 285, 54, 126, 198, 270, 70, 142, 214, 286)(50, 122, 194, 266, 71, 143, 215, 287, 53, 125, 197, 269, 72, 144, 216, 288)
	L = (1, 74)(2, 73)(3, 81)(4, 84)(5, 87)(6, 89)(7, 92)(8, 95)(9, 75)(10, 99)(11, 102)(12, 76)(13, 107)(14, 101)(15, 77)(16, 111)(17, 78)(18, 114)(19, 117)(20, 79)(21, 122)(22, 116)(23, 80)(24, 126)(25, 125)(26, 119)(27, 82)(28, 118)(29, 86)(30, 83)(31, 115)(32, 113)(33, 128)(34, 121)(35, 85)(36, 130)(37, 124)(38, 112)(39, 88)(40, 110)(41, 104)(42, 90)(43, 103)(44, 94)(45, 91)(46, 100)(47, 98)(48, 137)(49, 106)(50, 93)(51, 139)(52, 109)(53, 97)(54, 96)(55, 136)(56, 105)(57, 143)(58, 108)(59, 141)(60, 140)(61, 142)(62, 138)(63, 144)(64, 127)(65, 120)(66, 134)(67, 123)(68, 132)(69, 131)(70, 133)(71, 129)(72, 135)(145, 219)(146, 222)(147, 217)(148, 229)(149, 232)(150, 218)(151, 237)(152, 240)(153, 233)(154, 244)(155, 247)(156, 248)(157, 220)(158, 238)(159, 254)(160, 221)(161, 225)(162, 259)(163, 262)(164, 263)(165, 223)(166, 230)(167, 269)(168, 224)(169, 270)(170, 266)(171, 261)(172, 226)(173, 271)(174, 258)(175, 227)(176, 228)(177, 264)(178, 273)(179, 257)(180, 267)(181, 275)(182, 231)(183, 256)(184, 255)(185, 251)(186, 246)(187, 234)(188, 280)(189, 243)(190, 235)(191, 236)(192, 249)(193, 282)(194, 242)(195, 252)(196, 284)(197, 239)(198, 241)(199, 245)(200, 288)(201, 250)(202, 286)(203, 253)(204, 285)(205, 283)(206, 287)(207, 281)(208, 260)(209, 279)(210, 265)(211, 277)(212, 268)(213, 276)(214, 274)(215, 278)(216, 272)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1449
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 144 f = 90
	degree seq :: [ 16^18 ]

E19.1456 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1 * Y3^-1 * Y1)^2, (Y1 * Y3 * Y1 * Y3^-1)^2, (Y3 * Y1)^6, Y3^-2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1, Y3^-2 * Y1 * Y3^2 * Y1 * Y3^2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 ]
Map::
	R = (1, 73, 145, 217, 3, 75, 147, 219, 8, 80, 152, 224, 4, 76, 148, 220)(2, 74, 146, 218, 5, 77, 149, 221, 11, 83, 155, 227, 6, 78, 150, 222)(7, 79, 151, 223, 13, 85, 157, 229, 24, 96, 168, 240, 14, 86, 158, 230)(9, 81, 153, 225, 16, 88, 160, 232, 27, 99, 171, 243, 17, 89, 161, 233)(10, 82, 154, 226, 18, 90, 162, 234, 30, 102, 174, 246, 19, 91, 163, 235)(12, 84, 156, 228, 21, 93, 165, 237, 33, 105, 177, 249, 22, 94, 166, 238)(15, 87, 159, 231, 25, 97, 169, 241, 39, 111, 183, 255, 26, 98, 170, 242)(20, 92, 164, 236, 31, 103, 175, 247, 46, 118, 190, 262, 32, 104, 176, 248)(23, 95, 167, 239, 35, 107, 179, 251, 49, 121, 193, 265, 36, 108, 180, 252)(28, 100, 172, 244, 38, 110, 182, 254, 52, 124, 196, 268, 41, 113, 185, 257)(29, 101, 173, 245, 42, 114, 186, 258, 56, 128, 200, 272, 43, 115, 187, 259)(34, 106, 178, 250, 45, 117, 189, 261, 59, 131, 203, 275, 48, 120, 192, 264)(37, 109, 181, 253, 50, 122, 194, 266, 63, 135, 207, 279, 51, 123, 195, 267)(40, 112, 184, 256, 54, 126, 198, 270, 66, 138, 210, 282, 55, 127, 199, 271)(44, 116, 188, 260, 57, 129, 201, 273, 67, 139, 211, 283, 58, 130, 202, 274)(47, 119, 191, 263, 61, 133, 205, 277, 70, 142, 214, 286, 62, 134, 206, 278)(53, 125, 197, 269, 64, 136, 208, 280, 71, 143, 215, 287, 65, 137, 209, 281)(60, 132, 204, 276, 68, 140, 212, 284, 72, 144, 216, 288, 69, 141, 213, 285)
	L = (1, 74)(2, 73)(3, 79)(4, 81)(5, 82)(6, 84)(7, 75)(8, 87)(9, 76)(10, 77)(11, 92)(12, 78)(13, 95)(14, 91)(15, 80)(16, 93)(17, 100)(18, 101)(19, 86)(20, 83)(21, 88)(22, 106)(23, 85)(24, 109)(25, 110)(26, 108)(27, 112)(28, 89)(29, 90)(30, 116)(31, 117)(32, 115)(33, 119)(34, 94)(35, 120)(36, 98)(37, 96)(38, 97)(39, 125)(40, 99)(41, 114)(42, 113)(43, 104)(44, 102)(45, 103)(46, 132)(47, 105)(48, 107)(49, 133)(50, 129)(51, 131)(52, 130)(53, 111)(54, 128)(55, 134)(56, 126)(57, 122)(58, 124)(59, 123)(60, 118)(61, 121)(62, 127)(63, 141)(64, 142)(65, 139)(66, 140)(67, 137)(68, 138)(69, 135)(70, 136)(71, 144)(72, 143)(145, 218)(146, 217)(147, 223)(148, 225)(149, 226)(150, 228)(151, 219)(152, 231)(153, 220)(154, 221)(155, 236)(156, 222)(157, 239)(158, 235)(159, 224)(160, 237)(161, 244)(162, 245)(163, 230)(164, 227)(165, 232)(166, 250)(167, 229)(168, 253)(169, 254)(170, 252)(171, 256)(172, 233)(173, 234)(174, 260)(175, 261)(176, 259)(177, 263)(178, 238)(179, 264)(180, 242)(181, 240)(182, 241)(183, 269)(184, 243)(185, 258)(186, 257)(187, 248)(188, 246)(189, 247)(190, 276)(191, 249)(192, 251)(193, 277)(194, 273)(195, 275)(196, 274)(197, 255)(198, 272)(199, 278)(200, 270)(201, 266)(202, 268)(203, 267)(204, 262)(205, 265)(206, 271)(207, 285)(208, 286)(209, 283)(210, 284)(211, 281)(212, 282)(213, 279)(214, 280)(215, 288)(216, 287)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1450
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 144 f = 90
	degree seq :: [ 16^18 ]

E19.1457 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y3^-2 * Y1 * Y3^-2 * Y2, (Y1 * Y2)^3, (Y3^-1 * Y2 * Y3^-1 * Y1)^2, (Y3^-1 * Y1)^4, (Y3^-1 * Y2)^4, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1, (Y1 * Y3^-1 * Y2)^4 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 14, 86, 158, 230, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 22, 94, 166, 238, 8, 80, 152, 224)(3, 75, 147, 219, 10, 82, 154, 226, 29, 101, 173, 245, 11, 83, 155, 227)(6, 78, 150, 222, 18, 90, 162, 234, 44, 116, 188, 260, 19, 91, 163, 235)(9, 81, 153, 225, 25, 97, 169, 241, 55, 127, 199, 271, 26, 98, 170, 242)(12, 84, 156, 228, 33, 105, 177, 249, 16, 88, 160, 232, 34, 106, 178, 250)(13, 85, 157, 229, 36, 108, 180, 252, 15, 87, 159, 231, 37, 109, 181, 253)(17, 89, 161, 233, 40, 112, 184, 256, 64, 136, 208, 280, 41, 113, 185, 257)(20, 92, 164, 236, 48, 120, 192, 264, 24, 96, 168, 240, 49, 121, 193, 265)(21, 93, 165, 237, 51, 123, 195, 267, 23, 95, 167, 239, 52, 124, 196, 268)(27, 99, 171, 243, 56, 128, 200, 272, 31, 103, 175, 247, 57, 129, 201, 273)(28, 100, 172, 244, 58, 130, 202, 274, 30, 102, 174, 246, 59, 131, 203, 275)(32, 104, 176, 248, 60, 132, 204, 276, 39, 111, 183, 255, 61, 133, 205, 277)(35, 107, 179, 251, 62, 134, 206, 278, 38, 110, 182, 254, 63, 135, 207, 279)(42, 114, 186, 258, 65, 137, 209, 281, 46, 118, 190, 262, 66, 138, 210, 282)(43, 115, 187, 259, 67, 139, 211, 283, 45, 117, 189, 261, 68, 140, 212, 284)(47, 119, 191, 263, 69, 141, 213, 285, 54, 126, 198, 270, 70, 142, 214, 286)(50, 122, 194, 266, 71, 143, 215, 287, 53, 125, 197, 269, 72, 144, 216, 288)
	L = (1, 74)(2, 73)(3, 81)(4, 84)(5, 87)(6, 89)(7, 92)(8, 95)(9, 75)(10, 99)(11, 102)(12, 76)(13, 107)(14, 101)(15, 77)(16, 111)(17, 78)(18, 114)(19, 117)(20, 79)(21, 122)(22, 116)(23, 80)(24, 126)(25, 119)(26, 125)(27, 82)(28, 115)(29, 86)(30, 83)(31, 118)(32, 112)(33, 123)(34, 131)(35, 85)(36, 120)(37, 129)(38, 113)(39, 88)(40, 104)(41, 110)(42, 90)(43, 100)(44, 94)(45, 91)(46, 103)(47, 97)(48, 108)(49, 140)(50, 93)(51, 105)(52, 138)(53, 98)(54, 96)(55, 136)(56, 143)(57, 109)(58, 141)(59, 106)(60, 139)(61, 144)(62, 137)(63, 142)(64, 127)(65, 134)(66, 124)(67, 132)(68, 121)(69, 130)(70, 135)(71, 128)(72, 133)(145, 219)(146, 222)(147, 217)(148, 229)(149, 232)(150, 218)(151, 237)(152, 240)(153, 233)(154, 244)(155, 247)(156, 248)(157, 220)(158, 238)(159, 254)(160, 221)(161, 225)(162, 259)(163, 262)(164, 263)(165, 223)(166, 230)(167, 269)(168, 224)(169, 266)(170, 270)(171, 258)(172, 226)(173, 271)(174, 261)(175, 227)(176, 228)(177, 274)(178, 268)(179, 256)(180, 272)(181, 265)(182, 231)(183, 257)(184, 251)(185, 255)(186, 243)(187, 234)(188, 280)(189, 246)(190, 235)(191, 236)(192, 283)(193, 253)(194, 241)(195, 281)(196, 250)(197, 239)(198, 242)(199, 245)(200, 252)(201, 288)(202, 249)(203, 286)(204, 287)(205, 284)(206, 285)(207, 282)(208, 260)(209, 267)(210, 279)(211, 264)(212, 277)(213, 278)(214, 275)(215, 276)(216, 273)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1451
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 144 f = 90
	degree seq :: [ 16^18 ]

E19.1458 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y1)^4, (Y3^-1 * Y1)^4, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 73, 145, 217, 3, 75, 147, 219, 8, 80, 152, 224, 4, 76, 148, 220)(2, 74, 146, 218, 5, 77, 149, 221, 11, 83, 155, 227, 6, 78, 150, 222)(7, 79, 151, 223, 13, 85, 157, 229, 23, 95, 167, 239, 14, 86, 158, 230)(9, 81, 153, 225, 16, 88, 160, 232, 28, 100, 172, 244, 17, 89, 161, 233)(10, 82, 154, 226, 18, 90, 162, 234, 29, 101, 173, 245, 19, 91, 163, 235)(12, 84, 156, 228, 21, 93, 165, 237, 34, 106, 178, 250, 22, 94, 166, 238)(15, 87, 159, 231, 25, 97, 169, 241, 38, 110, 182, 254, 26, 98, 170, 242)(20, 92, 164, 236, 31, 103, 175, 247, 45, 117, 189, 261, 32, 104, 176, 248)(24, 96, 168, 240, 36, 108, 180, 252, 51, 123, 195, 267, 37, 109, 181, 253)(27, 99, 171, 243, 39, 111, 183, 255, 53, 125, 197, 269, 40, 112, 184, 256)(30, 102, 174, 246, 43, 115, 187, 259, 58, 130, 202, 274, 44, 116, 188, 260)(33, 105, 177, 249, 46, 118, 190, 262, 60, 132, 204, 276, 47, 119, 191, 263)(35, 107, 179, 251, 49, 121, 193, 265, 63, 135, 207, 279, 50, 122, 194, 266)(41, 113, 185, 257, 54, 126, 198, 270, 66, 138, 210, 282, 55, 127, 199, 271)(42, 114, 186, 258, 56, 128, 200, 272, 67, 139, 211, 283, 57, 129, 201, 273)(48, 120, 192, 264, 61, 133, 205, 277, 70, 142, 214, 286, 62, 134, 206, 278)(52, 124, 196, 268, 64, 136, 208, 280, 71, 143, 215, 287, 65, 137, 209, 281)(59, 131, 203, 275, 68, 140, 212, 284, 72, 144, 216, 288, 69, 141, 213, 285)
	L = (1, 74)(2, 73)(3, 79)(4, 81)(5, 82)(6, 84)(7, 75)(8, 87)(9, 76)(10, 77)(11, 92)(12, 78)(13, 94)(14, 96)(15, 80)(16, 99)(17, 90)(18, 89)(19, 102)(20, 83)(21, 105)(22, 85)(23, 107)(24, 86)(25, 109)(26, 111)(27, 88)(28, 113)(29, 114)(30, 91)(31, 116)(32, 118)(33, 93)(34, 120)(35, 95)(36, 115)(37, 97)(38, 124)(39, 98)(40, 119)(41, 100)(42, 101)(43, 108)(44, 103)(45, 131)(46, 104)(47, 112)(48, 106)(49, 134)(50, 130)(51, 129)(52, 110)(53, 133)(54, 132)(55, 128)(56, 127)(57, 123)(58, 122)(59, 117)(60, 126)(61, 125)(62, 121)(63, 140)(64, 139)(65, 142)(66, 141)(67, 136)(68, 135)(69, 138)(70, 137)(71, 144)(72, 143)(145, 218)(146, 217)(147, 223)(148, 225)(149, 226)(150, 228)(151, 219)(152, 231)(153, 220)(154, 221)(155, 236)(156, 222)(157, 238)(158, 240)(159, 224)(160, 243)(161, 234)(162, 233)(163, 246)(164, 227)(165, 249)(166, 229)(167, 251)(168, 230)(169, 253)(170, 255)(171, 232)(172, 257)(173, 258)(174, 235)(175, 260)(176, 262)(177, 237)(178, 264)(179, 239)(180, 259)(181, 241)(182, 268)(183, 242)(184, 263)(185, 244)(186, 245)(187, 252)(188, 247)(189, 275)(190, 248)(191, 256)(192, 250)(193, 278)(194, 274)(195, 273)(196, 254)(197, 277)(198, 276)(199, 272)(200, 271)(201, 267)(202, 266)(203, 261)(204, 270)(205, 269)(206, 265)(207, 284)(208, 283)(209, 286)(210, 285)(211, 280)(212, 279)(213, 282)(214, 281)(215, 288)(216, 287)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1452
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 144 f = 90
	degree seq :: [ 16^18 ]

E19.1459 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^4, (R * Y3)^2, R * Y2 * R * Y1, Y2^2 * Y1^-2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 6, 78, 150, 222)(3, 75, 147, 219, 7, 79, 151, 223)(5, 77, 149, 221, 10, 82, 154, 226)(8, 80, 152, 224, 16, 88, 160, 232)(9, 81, 153, 225, 17, 89, 161, 233)(11, 83, 155, 227, 21, 93, 165, 237)(12, 84, 156, 228, 22, 94, 166, 238)(13, 85, 157, 229, 24, 96, 168, 240)(14, 86, 158, 230, 25, 97, 169, 241)(15, 87, 159, 231, 26, 98, 170, 242)(18, 90, 162, 234, 30, 102, 174, 246)(19, 91, 163, 235, 31, 103, 175, 247)(20, 92, 164, 236, 32, 104, 176, 248)(23, 95, 167, 239, 35, 107, 179, 251)(27, 99, 171, 243, 40, 112, 184, 256)(28, 100, 172, 244, 41, 113, 185, 257)(29, 101, 173, 245, 42, 114, 186, 258)(33, 105, 177, 249, 47, 119, 191, 263)(34, 106, 178, 250, 48, 120, 192, 264)(36, 108, 180, 252, 51, 123, 195, 267)(37, 109, 181, 253, 52, 124, 196, 268)(38, 110, 182, 254, 54, 126, 198, 270)(39, 111, 183, 255, 55, 127, 199, 271)(43, 115, 187, 259, 58, 130, 202, 274)(44, 116, 188, 260, 59, 131, 203, 275)(45, 117, 189, 261, 61, 133, 205, 277)(46, 118, 190, 262, 62, 134, 206, 278)(49, 121, 193, 265, 64, 136, 208, 280)(50, 122, 194, 266, 65, 137, 209, 281)(53, 125, 197, 269, 66, 138, 210, 282)(56, 128, 200, 272, 68, 140, 212, 284)(57, 129, 201, 273, 69, 141, 213, 285)(60, 132, 204, 276, 70, 142, 214, 286)(63, 135, 207, 279, 71, 143, 215, 287)(67, 139, 211, 283, 72, 144, 216, 288)
	L = (1, 74)(2, 77)(3, 73)(4, 80)(5, 75)(6, 83)(7, 85)(8, 87)(9, 76)(10, 90)(11, 92)(12, 78)(13, 95)(14, 79)(15, 81)(16, 99)(17, 96)(18, 101)(19, 82)(20, 84)(21, 105)(22, 88)(23, 86)(24, 108)(25, 102)(26, 110)(27, 106)(28, 89)(29, 91)(30, 115)(31, 93)(32, 117)(33, 116)(34, 94)(35, 121)(36, 100)(37, 97)(38, 125)(39, 98)(40, 124)(41, 126)(42, 128)(43, 109)(44, 103)(45, 132)(46, 104)(47, 113)(48, 133)(49, 135)(50, 107)(51, 131)(52, 136)(53, 111)(54, 134)(55, 112)(56, 139)(57, 114)(58, 120)(59, 140)(60, 118)(61, 141)(62, 119)(63, 122)(64, 127)(65, 123)(66, 143)(67, 129)(68, 137)(69, 130)(70, 138)(71, 144)(72, 142)(145, 219)(146, 217)(147, 221)(148, 225)(149, 218)(150, 228)(151, 230)(152, 220)(153, 231)(154, 235)(155, 222)(156, 236)(157, 223)(158, 239)(159, 224)(160, 238)(161, 244)(162, 226)(163, 245)(164, 227)(165, 247)(166, 250)(167, 229)(168, 233)(169, 253)(170, 255)(171, 232)(172, 252)(173, 234)(174, 241)(175, 260)(176, 262)(177, 237)(178, 243)(179, 266)(180, 240)(181, 259)(182, 242)(183, 269)(184, 271)(185, 263)(186, 273)(187, 246)(188, 249)(189, 248)(190, 276)(191, 278)(192, 274)(193, 251)(194, 279)(195, 281)(196, 256)(197, 254)(198, 257)(199, 280)(200, 258)(201, 283)(202, 285)(203, 267)(204, 261)(205, 264)(206, 270)(207, 265)(208, 268)(209, 284)(210, 286)(211, 272)(212, 275)(213, 277)(214, 288)(215, 282)(216, 287)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1453
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.1460 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, R * Y2 * R * Y1, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, Y1^4, Y1^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y2 * Y1^-1)^3, Y2^-2 * Y3 * Y2^-1 * Y3 * Y1, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y2^-1 * Y3 * Y1^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 9, 81, 153, 225)(3, 75, 147, 219, 13, 85, 157, 229)(5, 77, 149, 221, 20, 92, 164, 236)(6, 78, 150, 222, 22, 94, 166, 238)(7, 79, 151, 223, 24, 96, 168, 240)(8, 80, 152, 224, 27, 99, 171, 243)(10, 82, 154, 226, 34, 106, 178, 250)(11, 83, 155, 227, 36, 108, 180, 252)(12, 84, 156, 228, 39, 111, 183, 255)(14, 86, 158, 230, 42, 114, 186, 258)(15, 87, 159, 231, 23, 95, 167, 239)(16, 88, 160, 232, 26, 98, 170, 242)(17, 89, 161, 233, 28, 100, 172, 244)(18, 90, 162, 234, 40, 112, 184, 256)(19, 91, 163, 235, 29, 101, 173, 245)(21, 93, 165, 237, 45, 117, 189, 261)(25, 97, 169, 241, 55, 127, 199, 271)(30, 102, 174, 246, 49, 121, 193, 265)(31, 103, 175, 247, 50, 122, 194, 266)(32, 104, 176, 248, 57, 129, 201, 273)(33, 105, 177, 249, 60, 132, 204, 276)(35, 107, 179, 251, 59, 131, 203, 275)(37, 109, 181, 253, 51, 123, 195, 267)(38, 110, 182, 254, 61, 133, 205, 277)(41, 113, 185, 257, 63, 135, 207, 279)(43, 115, 187, 259, 67, 139, 211, 283)(44, 116, 188, 260, 54, 126, 198, 270)(46, 118, 190, 262, 52, 124, 196, 268)(47, 119, 191, 263, 65, 137, 209, 281)(48, 120, 192, 264, 66, 138, 210, 282)(53, 125, 197, 269, 69, 141, 213, 285)(56, 128, 200, 272, 70, 142, 214, 286)(58, 130, 202, 274, 72, 144, 216, 288)(62, 134, 206, 278, 71, 143, 215, 287)(64, 136, 208, 280, 68, 140, 212, 284)
	L = (1, 74)(2, 79)(3, 83)(4, 87)(5, 73)(6, 93)(7, 77)(8, 78)(9, 101)(10, 105)(11, 107)(12, 110)(13, 113)(14, 75)(15, 104)(16, 115)(17, 76)(18, 114)(19, 97)(20, 99)(21, 100)(22, 116)(23, 82)(24, 85)(25, 126)(26, 128)(27, 90)(28, 80)(29, 125)(30, 130)(31, 81)(32, 89)(33, 122)(34, 131)(35, 86)(36, 132)(37, 137)(38, 138)(39, 134)(40, 84)(41, 124)(42, 92)(43, 127)(44, 123)(45, 88)(46, 91)(47, 136)(48, 94)(49, 140)(50, 95)(51, 120)(52, 96)(53, 103)(54, 118)(55, 117)(56, 143)(57, 98)(58, 108)(59, 111)(60, 102)(61, 119)(62, 106)(63, 109)(64, 142)(65, 144)(66, 112)(67, 141)(68, 139)(69, 121)(70, 133)(71, 129)(72, 135)(145, 219)(146, 224)(147, 228)(148, 232)(149, 235)(150, 217)(151, 239)(152, 242)(153, 246)(154, 218)(155, 221)(156, 222)(157, 245)(158, 249)(159, 243)(160, 260)(161, 250)(162, 220)(163, 253)(164, 255)(165, 256)(166, 263)(167, 265)(168, 267)(169, 223)(170, 226)(171, 229)(172, 270)(173, 231)(174, 275)(175, 271)(176, 225)(177, 273)(178, 277)(179, 279)(180, 280)(181, 227)(182, 230)(183, 276)(184, 281)(185, 236)(186, 238)(187, 233)(188, 234)(189, 269)(190, 237)(191, 278)(192, 268)(193, 241)(194, 251)(195, 261)(196, 252)(197, 240)(198, 285)(199, 286)(200, 244)(201, 254)(202, 247)(203, 248)(204, 257)(205, 259)(206, 258)(207, 284)(208, 264)(209, 262)(210, 287)(211, 288)(212, 266)(213, 272)(214, 274)(215, 283)(216, 282)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1454
Transitivity :: VT+
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.1461 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3, (Y2 * R)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3)^4, (Y3^-1 * Y1 * Y3 * Y1 * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1, (Y2 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 11, 83)(6, 78, 12, 84)(7, 79, 13, 85)(8, 80, 14, 86)(15, 87, 33, 105)(16, 88, 34, 106)(17, 89, 35, 107)(18, 90, 36, 108)(19, 91, 32, 104)(20, 92, 37, 109)(21, 93, 38, 110)(22, 94, 39, 111)(23, 95, 28, 100)(24, 96, 40, 112)(25, 97, 41, 113)(26, 98, 42, 114)(27, 99, 43, 115)(29, 101, 44, 116)(30, 102, 45, 117)(31, 103, 46, 118)(47, 119, 60, 132)(48, 120, 67, 139)(49, 121, 70, 142)(50, 122, 63, 135)(51, 123, 69, 141)(52, 124, 65, 137)(53, 125, 71, 143)(54, 126, 61, 133)(55, 127, 72, 144)(56, 128, 64, 136)(57, 129, 62, 134)(58, 130, 66, 138)(59, 131, 68, 140)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 149, 221)(151, 223, 152, 224)(153, 225, 159, 231)(154, 226, 162, 234)(155, 227, 165, 237)(156, 228, 168, 240)(157, 229, 171, 243)(158, 230, 174, 246)(160, 232, 161, 233)(163, 235, 164, 236)(166, 238, 167, 239)(169, 241, 170, 242)(172, 244, 173, 245)(175, 247, 176, 248)(177, 249, 191, 263)(178, 250, 194, 266)(179, 251, 196, 268)(180, 252, 198, 270)(181, 253, 195, 267)(182, 254, 201, 273)(183, 255, 197, 269)(184, 256, 204, 276)(185, 257, 207, 279)(186, 258, 209, 281)(187, 259, 211, 283)(188, 260, 208, 280)(189, 261, 214, 286)(190, 262, 210, 282)(192, 264, 193, 265)(199, 271, 200, 272)(202, 274, 203, 275)(205, 277, 206, 278)(212, 284, 213, 285)(215, 287, 216, 288)
	L = (1, 148)(2, 151)(3, 149)(4, 147)(5, 145)(6, 152)(7, 150)(8, 146)(9, 160)(10, 163)(11, 166)(12, 169)(13, 172)(14, 175)(15, 161)(16, 159)(17, 153)(18, 164)(19, 162)(20, 154)(21, 167)(22, 165)(23, 155)(24, 170)(25, 168)(26, 156)(27, 173)(28, 171)(29, 157)(30, 176)(31, 174)(32, 158)(33, 192)(34, 181)(35, 197)(36, 199)(37, 194)(38, 202)(39, 179)(40, 205)(41, 188)(42, 210)(43, 212)(44, 207)(45, 215)(46, 186)(47, 193)(48, 191)(49, 177)(50, 195)(51, 178)(52, 183)(53, 196)(54, 200)(55, 198)(56, 180)(57, 203)(58, 201)(59, 182)(60, 206)(61, 204)(62, 184)(63, 208)(64, 185)(65, 190)(66, 209)(67, 213)(68, 211)(69, 187)(70, 216)(71, 214)(72, 189)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1484
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1462 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, Y3^4, (R * Y3)^2, (Y3 * Y2 * R)^2, Y1 * Y2 * Y3^-2 * Y2 * Y1 * Y2, Y2 * Y1 * Y3^-2 * Y2 * Y3^-2 * Y1, (Y3 * Y2)^4, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 8, 80)(6, 78, 15, 87)(10, 82, 22, 94)(11, 83, 23, 95)(12, 84, 27, 99)(13, 85, 19, 91)(14, 86, 31, 103)(16, 88, 34, 106)(17, 89, 35, 107)(18, 90, 38, 110)(20, 92, 42, 114)(21, 93, 30, 102)(24, 96, 47, 119)(25, 97, 41, 113)(26, 98, 50, 122)(28, 100, 44, 116)(29, 101, 43, 115)(32, 104, 40, 112)(33, 105, 39, 111)(36, 108, 57, 129)(37, 109, 60, 132)(45, 117, 65, 137)(46, 118, 67, 139)(48, 120, 68, 140)(49, 121, 63, 135)(51, 123, 64, 136)(52, 124, 66, 138)(53, 125, 59, 131)(54, 126, 61, 133)(55, 127, 71, 143)(56, 128, 72, 144)(58, 130, 70, 142)(62, 134, 69, 141)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 156, 228)(149, 221, 158, 230)(151, 223, 162, 234)(152, 224, 164, 236)(153, 225, 165, 237)(154, 226, 168, 240)(155, 227, 170, 242)(157, 229, 174, 246)(159, 231, 169, 241)(160, 232, 180, 252)(161, 233, 181, 253)(163, 235, 185, 257)(166, 238, 189, 261)(167, 239, 190, 262)(171, 243, 175, 247)(172, 244, 196, 268)(173, 245, 197, 269)(176, 248, 198, 270)(177, 249, 192, 264)(178, 250, 199, 271)(179, 251, 200, 272)(182, 254, 186, 258)(183, 255, 206, 278)(184, 256, 207, 279)(187, 259, 208, 280)(188, 260, 202, 274)(191, 263, 194, 266)(193, 265, 213, 285)(195, 267, 214, 286)(201, 273, 204, 276)(203, 275, 210, 282)(205, 277, 212, 284)(209, 281, 211, 283)(215, 287, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 157)(5, 145)(6, 160)(7, 163)(8, 146)(9, 166)(10, 169)(11, 147)(12, 172)(13, 149)(14, 176)(15, 178)(16, 165)(17, 150)(18, 183)(19, 152)(20, 187)(21, 161)(22, 185)(23, 153)(24, 192)(25, 155)(26, 195)(27, 188)(28, 186)(29, 156)(30, 179)(31, 184)(32, 182)(33, 158)(34, 174)(35, 159)(36, 202)(37, 205)(38, 177)(39, 175)(40, 162)(41, 167)(42, 173)(43, 171)(44, 164)(45, 210)(46, 207)(47, 212)(48, 211)(49, 168)(50, 208)(51, 209)(52, 170)(53, 201)(54, 199)(55, 213)(56, 197)(57, 214)(58, 216)(59, 180)(60, 198)(61, 215)(62, 181)(63, 191)(64, 189)(65, 196)(66, 194)(67, 193)(68, 190)(69, 204)(70, 200)(71, 206)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1485
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1463 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3 * Y2 * Y3^-1, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y1 * Y2)^3, Y1 * Y2 * Y3^-2 * Y1 * Y3^-2 * Y2, (Y3^-1 * Y1)^4, (Y3 * Y1 * Y3^-1 * Y1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 12, 84)(5, 77, 14, 86)(6, 78, 15, 87)(7, 79, 18, 90)(8, 80, 20, 92)(10, 82, 23, 95)(11, 83, 25, 97)(13, 85, 29, 101)(16, 88, 35, 107)(17, 89, 37, 109)(19, 91, 41, 113)(21, 93, 45, 117)(22, 94, 46, 118)(24, 96, 36, 108)(26, 98, 47, 119)(27, 99, 44, 116)(28, 100, 53, 125)(30, 102, 50, 122)(31, 103, 54, 126)(32, 104, 39, 111)(33, 105, 55, 127)(34, 106, 56, 128)(38, 110, 57, 129)(40, 112, 63, 135)(42, 114, 60, 132)(43, 115, 64, 136)(48, 120, 68, 140)(49, 121, 61, 133)(51, 123, 59, 131)(52, 124, 66, 138)(58, 130, 72, 144)(62, 134, 70, 142)(65, 137, 69, 141)(67, 139, 71, 143)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 154, 226)(149, 221, 155, 227)(151, 223, 160, 232)(152, 224, 161, 233)(153, 225, 159, 231)(156, 228, 170, 242)(157, 229, 168, 240)(158, 230, 174, 246)(162, 234, 182, 254)(163, 235, 180, 252)(164, 236, 186, 258)(165, 237, 177, 249)(166, 238, 178, 250)(167, 239, 191, 263)(169, 241, 194, 266)(171, 243, 196, 268)(172, 244, 195, 267)(173, 245, 185, 257)(175, 247, 193, 265)(176, 248, 192, 264)(179, 251, 201, 273)(181, 253, 204, 276)(183, 255, 206, 278)(184, 256, 205, 277)(187, 259, 203, 275)(188, 260, 202, 274)(189, 261, 209, 281)(190, 262, 211, 283)(197, 269, 208, 280)(198, 270, 207, 279)(199, 271, 213, 285)(200, 272, 215, 287)(210, 282, 216, 288)(212, 284, 214, 286)
	L = (1, 148)(2, 151)(3, 154)(4, 157)(5, 145)(6, 160)(7, 163)(8, 146)(9, 165)(10, 168)(11, 147)(12, 171)(13, 149)(14, 175)(15, 177)(16, 180)(17, 150)(18, 183)(19, 152)(20, 187)(21, 185)(22, 153)(23, 192)(24, 155)(25, 195)(26, 196)(27, 194)(28, 156)(29, 178)(30, 193)(31, 191)(32, 158)(33, 173)(34, 159)(35, 202)(36, 161)(37, 205)(38, 206)(39, 204)(40, 162)(41, 166)(42, 203)(43, 201)(44, 164)(45, 210)(46, 207)(47, 176)(48, 174)(49, 167)(50, 172)(51, 170)(52, 169)(53, 209)(54, 199)(55, 214)(56, 197)(57, 188)(58, 186)(59, 179)(60, 184)(61, 182)(62, 181)(63, 213)(64, 189)(65, 216)(66, 215)(67, 198)(68, 190)(69, 212)(70, 211)(71, 208)(72, 200)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1486
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1464 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * Y1 * Y2)^2, (Y3 * Y2^-1)^4, (Y2 * Y1)^6, (Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1)^2 ]
Map::
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 10, 82)(6, 78, 12, 84)(8, 80, 15, 87)(11, 83, 20, 92)(13, 85, 23, 95)(14, 86, 19, 91)(16, 88, 21, 93)(17, 89, 28, 100)(18, 90, 29, 101)(22, 94, 34, 106)(24, 96, 37, 109)(25, 97, 38, 110)(26, 98, 36, 108)(27, 99, 40, 112)(30, 102, 44, 116)(31, 103, 45, 117)(32, 104, 43, 115)(33, 105, 47, 119)(35, 107, 48, 120)(39, 111, 53, 125)(41, 113, 42, 114)(46, 118, 60, 132)(49, 121, 61, 133)(50, 122, 57, 129)(51, 123, 59, 131)(52, 124, 58, 130)(54, 126, 56, 128)(55, 127, 62, 134)(63, 135, 69, 141)(64, 136, 70, 142)(65, 137, 67, 139)(66, 138, 68, 140)(71, 143, 72, 144)(145, 217, 147, 219, 152, 224, 148, 220)(146, 218, 149, 221, 155, 227, 150, 222)(151, 223, 157, 229, 168, 240, 158, 230)(153, 225, 160, 232, 171, 243, 161, 233)(154, 226, 162, 234, 174, 246, 163, 235)(156, 228, 165, 237, 177, 249, 166, 238)(159, 231, 169, 241, 183, 255, 170, 242)(164, 236, 175, 247, 190, 262, 176, 248)(167, 239, 179, 251, 193, 265, 180, 252)(172, 244, 182, 254, 196, 268, 185, 257)(173, 245, 186, 258, 200, 272, 187, 259)(178, 250, 189, 261, 203, 275, 192, 264)(181, 253, 194, 266, 207, 279, 195, 267)(184, 256, 198, 270, 210, 282, 199, 271)(188, 260, 201, 273, 211, 283, 202, 274)(191, 263, 205, 277, 214, 286, 206, 278)(197, 269, 208, 280, 215, 287, 209, 281)(204, 276, 212, 284, 216, 288, 213, 285)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1465 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (R * Y3)^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1)^4, (Y1 * Y2)^4, (Y3 * Y2^-1)^4, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
Map::
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 10, 82)(6, 78, 12, 84)(8, 80, 15, 87)(11, 83, 20, 92)(13, 85, 22, 94)(14, 86, 24, 96)(16, 88, 27, 99)(17, 89, 18, 90)(19, 91, 30, 102)(21, 93, 33, 105)(23, 95, 35, 107)(25, 97, 37, 109)(26, 98, 39, 111)(28, 100, 41, 113)(29, 101, 42, 114)(31, 103, 44, 116)(32, 104, 46, 118)(34, 106, 48, 120)(36, 108, 43, 115)(38, 110, 52, 124)(40, 112, 47, 119)(45, 117, 59, 131)(49, 121, 62, 134)(50, 122, 58, 130)(51, 123, 57, 129)(53, 125, 61, 133)(54, 126, 60, 132)(55, 127, 56, 128)(63, 135, 68, 140)(64, 136, 67, 139)(65, 137, 70, 142)(66, 138, 69, 141)(71, 143, 72, 144)(145, 217, 147, 219, 152, 224, 148, 220)(146, 218, 149, 221, 155, 227, 150, 222)(151, 223, 157, 229, 167, 239, 158, 230)(153, 225, 160, 232, 172, 244, 161, 233)(154, 226, 162, 234, 173, 245, 163, 235)(156, 228, 165, 237, 178, 250, 166, 238)(159, 231, 169, 241, 182, 254, 170, 242)(164, 236, 175, 247, 189, 261, 176, 248)(168, 240, 180, 252, 195, 267, 181, 253)(171, 243, 183, 255, 197, 269, 184, 256)(174, 246, 187, 259, 202, 274, 188, 260)(177, 249, 190, 262, 204, 276, 191, 263)(179, 251, 193, 265, 207, 279, 194, 266)(185, 257, 198, 270, 210, 282, 199, 271)(186, 258, 200, 272, 211, 283, 201, 273)(192, 264, 205, 277, 214, 286, 206, 278)(196, 268, 208, 280, 215, 287, 209, 281)(203, 275, 212, 284, 216, 288, 213, 285)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1466 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, Y2^4, (Y3 * Y1)^2, (R * Y1)^2, (Y2^-1 * R)^2, (Y1 * Y2)^4, Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 13, 85)(6, 78, 14, 86)(8, 80, 18, 90)(10, 82, 22, 94)(11, 83, 20, 92)(12, 84, 24, 96)(15, 87, 30, 102)(16, 88, 28, 100)(17, 89, 32, 104)(19, 91, 34, 106)(21, 93, 38, 110)(23, 95, 40, 112)(25, 97, 44, 116)(26, 98, 27, 99)(29, 101, 49, 121)(31, 103, 50, 122)(33, 105, 53, 125)(35, 107, 45, 117)(36, 108, 52, 124)(37, 109, 56, 128)(39, 111, 58, 130)(41, 113, 61, 133)(42, 114, 62, 134)(43, 115, 47, 119)(46, 118, 54, 126)(48, 120, 66, 138)(51, 123, 67, 139)(55, 127, 63, 135)(57, 129, 64, 136)(59, 131, 70, 142)(60, 132, 71, 143)(65, 137, 68, 140)(69, 141, 72, 144)(145, 217, 147, 219, 154, 226, 149, 221)(146, 218, 150, 222, 159, 231, 152, 224)(148, 220, 155, 227, 167, 239, 156, 228)(151, 223, 160, 232, 175, 247, 161, 233)(153, 225, 163, 235, 179, 251, 165, 237)(157, 229, 169, 241, 189, 261, 170, 242)(158, 230, 171, 243, 190, 262, 173, 245)(162, 234, 177, 249, 198, 270, 178, 250)(164, 236, 180, 252, 199, 271, 181, 253)(166, 238, 183, 255, 174, 246, 185, 257)(168, 240, 186, 258, 207, 279, 187, 259)(172, 244, 191, 263, 209, 281, 192, 264)(176, 248, 195, 267, 212, 284, 196, 268)(182, 254, 201, 273, 197, 269, 202, 274)(184, 256, 203, 275, 194, 266, 204, 276)(188, 260, 205, 277, 193, 265, 208, 280)(200, 272, 213, 285, 211, 283, 214, 286)(206, 278, 215, 287, 210, 282, 216, 288)
	L = (1, 148)(2, 151)(3, 155)(4, 145)(5, 156)(6, 160)(7, 146)(8, 161)(9, 164)(10, 167)(11, 147)(12, 149)(13, 168)(14, 172)(15, 175)(16, 150)(17, 152)(18, 176)(19, 180)(20, 153)(21, 181)(22, 184)(23, 154)(24, 157)(25, 186)(26, 187)(27, 191)(28, 158)(29, 192)(30, 194)(31, 159)(32, 162)(33, 195)(34, 196)(35, 199)(36, 163)(37, 165)(38, 200)(39, 203)(40, 166)(41, 204)(42, 169)(43, 170)(44, 206)(45, 207)(46, 209)(47, 171)(48, 173)(49, 210)(50, 174)(51, 177)(52, 178)(53, 211)(54, 212)(55, 179)(56, 182)(57, 213)(58, 214)(59, 183)(60, 185)(61, 215)(62, 188)(63, 189)(64, 216)(65, 190)(66, 193)(67, 197)(68, 198)(69, 201)(70, 202)(71, 205)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1467
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1467 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (Y2^-1 * R)^2, (R * Y1)^2, (Y3 * Y1)^2, (Y1 * Y2)^4, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 13, 85)(6, 78, 14, 86)(8, 80, 18, 90)(10, 82, 22, 94)(11, 83, 20, 92)(12, 84, 24, 96)(15, 87, 30, 102)(16, 88, 28, 100)(17, 89, 32, 104)(19, 91, 34, 106)(21, 93, 38, 110)(23, 95, 40, 112)(25, 97, 44, 116)(26, 98, 27, 99)(29, 101, 49, 121)(31, 103, 51, 123)(33, 105, 55, 127)(35, 107, 57, 129)(36, 108, 54, 126)(37, 109, 59, 131)(39, 111, 61, 133)(41, 113, 62, 134)(42, 114, 63, 135)(43, 115, 47, 119)(45, 117, 58, 130)(46, 118, 65, 137)(48, 120, 67, 139)(50, 122, 69, 141)(52, 124, 70, 142)(53, 125, 71, 143)(56, 128, 66, 138)(60, 132, 68, 140)(64, 136, 72, 144)(145, 217, 147, 219, 154, 226, 149, 221)(146, 218, 150, 222, 159, 231, 152, 224)(148, 220, 155, 227, 167, 239, 156, 228)(151, 223, 160, 232, 175, 247, 161, 233)(153, 225, 163, 235, 179, 251, 165, 237)(157, 229, 169, 241, 189, 261, 170, 242)(158, 230, 171, 243, 190, 262, 173, 245)(162, 234, 177, 249, 200, 272, 178, 250)(164, 236, 180, 252, 202, 274, 181, 253)(166, 238, 183, 255, 195, 267, 185, 257)(168, 240, 186, 258, 201, 273, 187, 259)(172, 244, 191, 263, 210, 282, 192, 264)(174, 246, 194, 266, 184, 256, 196, 268)(176, 248, 197, 269, 209, 281, 198, 270)(182, 254, 204, 276, 215, 287, 205, 277)(188, 260, 206, 278, 211, 283, 208, 280)(193, 265, 212, 284, 207, 279, 213, 285)(199, 271, 214, 286, 203, 275, 216, 288)
	L = (1, 148)(2, 151)(3, 155)(4, 145)(5, 156)(6, 160)(7, 146)(8, 161)(9, 164)(10, 167)(11, 147)(12, 149)(13, 168)(14, 172)(15, 175)(16, 150)(17, 152)(18, 176)(19, 180)(20, 153)(21, 181)(22, 184)(23, 154)(24, 157)(25, 186)(26, 187)(27, 191)(28, 158)(29, 192)(30, 195)(31, 159)(32, 162)(33, 197)(34, 198)(35, 202)(36, 163)(37, 165)(38, 203)(39, 196)(40, 166)(41, 194)(42, 169)(43, 170)(44, 207)(45, 201)(46, 210)(47, 171)(48, 173)(49, 211)(50, 185)(51, 174)(52, 183)(53, 177)(54, 178)(55, 215)(56, 209)(57, 189)(58, 179)(59, 182)(60, 216)(61, 214)(62, 213)(63, 188)(64, 212)(65, 200)(66, 190)(67, 193)(68, 208)(69, 206)(70, 205)(71, 199)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1466
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1468 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^4, (R * Y2 * Y3)^2, (Y2 * R * Y3)^2, (Y2^-1 * Y3)^4, (Y2^-2 * Y3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 6, 78)(4, 76, 7, 79)(5, 77, 8, 80)(9, 81, 14, 86)(10, 82, 15, 87)(11, 83, 16, 88)(12, 84, 17, 89)(13, 85, 18, 90)(19, 91, 27, 99)(20, 92, 28, 100)(21, 93, 29, 101)(22, 94, 30, 102)(23, 95, 31, 103)(24, 96, 32, 104)(25, 97, 33, 105)(26, 98, 34, 106)(35, 107, 46, 118)(36, 108, 47, 119)(37, 109, 48, 120)(38, 110, 49, 121)(39, 111, 50, 122)(40, 112, 51, 123)(41, 113, 52, 124)(42, 114, 53, 125)(43, 115, 54, 126)(44, 116, 55, 127)(45, 117, 56, 128)(57, 129, 65, 137)(58, 130, 66, 138)(59, 131, 67, 139)(60, 132, 68, 140)(61, 133, 69, 141)(62, 134, 70, 142)(63, 135, 71, 143)(64, 136, 72, 144)(145, 217, 147, 219, 153, 225, 149, 221)(146, 218, 150, 222, 158, 230, 152, 224)(148, 220, 155, 227, 166, 238, 156, 228)(151, 223, 160, 232, 174, 246, 161, 233)(154, 226, 164, 236, 181, 253, 165, 237)(157, 229, 169, 241, 188, 260, 170, 242)(159, 231, 172, 244, 192, 264, 173, 245)(162, 234, 177, 249, 199, 271, 178, 250)(163, 235, 179, 251, 184, 256, 180, 252)(167, 239, 185, 257, 205, 277, 186, 258)(168, 240, 187, 259, 203, 275, 182, 254)(171, 243, 190, 262, 195, 267, 191, 263)(175, 247, 196, 268, 213, 285, 197, 269)(176, 248, 198, 270, 211, 283, 193, 265)(183, 255, 204, 276, 207, 279, 201, 273)(189, 261, 202, 274, 206, 278, 208, 280)(194, 266, 212, 284, 215, 287, 209, 281)(200, 272, 210, 282, 214, 286, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 157)(6, 159)(7, 146)(8, 162)(9, 163)(10, 147)(11, 167)(12, 168)(13, 149)(14, 171)(15, 150)(16, 175)(17, 176)(18, 152)(19, 153)(20, 182)(21, 183)(22, 184)(23, 155)(24, 156)(25, 189)(26, 185)(27, 158)(28, 193)(29, 194)(30, 195)(31, 160)(32, 161)(33, 200)(34, 196)(35, 201)(36, 202)(37, 188)(38, 164)(39, 165)(40, 166)(41, 170)(42, 206)(43, 207)(44, 181)(45, 169)(46, 209)(47, 210)(48, 199)(49, 172)(50, 173)(51, 174)(52, 178)(53, 214)(54, 215)(55, 192)(56, 177)(57, 179)(58, 180)(59, 205)(60, 208)(61, 203)(62, 186)(63, 187)(64, 204)(65, 190)(66, 191)(67, 213)(68, 216)(69, 211)(70, 197)(71, 198)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1471
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1469 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (Y2 * Y1)^2, Y2^4, (R * Y2 * Y3)^2, (Y2 * R * Y3)^2, (Y2^-1 * Y3)^4, (Y2^-2 * Y3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 8, 80)(4, 76, 7, 79)(5, 77, 6, 78)(9, 81, 14, 86)(10, 82, 18, 90)(11, 83, 17, 89)(12, 84, 16, 88)(13, 85, 15, 87)(19, 91, 27, 99)(20, 92, 34, 106)(21, 93, 33, 105)(22, 94, 30, 102)(23, 95, 32, 104)(24, 96, 31, 103)(25, 97, 29, 101)(26, 98, 28, 100)(35, 107, 47, 119)(36, 108, 46, 118)(37, 109, 55, 127)(38, 110, 52, 124)(39, 111, 56, 128)(40, 112, 51, 123)(41, 113, 49, 121)(42, 114, 54, 126)(43, 115, 53, 125)(44, 116, 48, 120)(45, 117, 50, 122)(57, 129, 66, 138)(58, 130, 65, 137)(59, 131, 69, 141)(60, 132, 72, 144)(61, 133, 67, 139)(62, 134, 71, 143)(63, 135, 70, 142)(64, 136, 68, 140)(145, 217, 147, 219, 153, 225, 149, 221)(146, 218, 150, 222, 158, 230, 152, 224)(148, 220, 155, 227, 166, 238, 156, 228)(151, 223, 160, 232, 174, 246, 161, 233)(154, 226, 164, 236, 181, 253, 165, 237)(157, 229, 169, 241, 188, 260, 170, 242)(159, 231, 172, 244, 192, 264, 173, 245)(162, 234, 177, 249, 199, 271, 178, 250)(163, 235, 179, 251, 184, 256, 180, 252)(167, 239, 185, 257, 205, 277, 186, 258)(168, 240, 187, 259, 203, 275, 182, 254)(171, 243, 190, 262, 195, 267, 191, 263)(175, 247, 196, 268, 213, 285, 197, 269)(176, 248, 198, 270, 211, 283, 193, 265)(183, 255, 204, 276, 207, 279, 201, 273)(189, 261, 202, 274, 206, 278, 208, 280)(194, 266, 212, 284, 215, 287, 209, 281)(200, 272, 210, 282, 214, 286, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 157)(6, 159)(7, 146)(8, 162)(9, 163)(10, 147)(11, 167)(12, 168)(13, 149)(14, 171)(15, 150)(16, 175)(17, 176)(18, 152)(19, 153)(20, 182)(21, 183)(22, 184)(23, 155)(24, 156)(25, 189)(26, 185)(27, 158)(28, 193)(29, 194)(30, 195)(31, 160)(32, 161)(33, 200)(34, 196)(35, 201)(36, 202)(37, 188)(38, 164)(39, 165)(40, 166)(41, 170)(42, 206)(43, 207)(44, 181)(45, 169)(46, 209)(47, 210)(48, 199)(49, 172)(50, 173)(51, 174)(52, 178)(53, 214)(54, 215)(55, 192)(56, 177)(57, 179)(58, 180)(59, 205)(60, 208)(61, 203)(62, 186)(63, 187)(64, 204)(65, 190)(66, 191)(67, 213)(68, 216)(69, 211)(70, 197)(71, 198)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1470 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2 * Y3)^2, (Y3 * Y2 * Y1)^2, (Y2^-1 * Y1 * Y3)^2, (Y3 * Y2^-1)^4, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2 * Y1 * Y2^-2 * Y3 * Y2^-2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 14, 86)(6, 78, 16, 88)(8, 80, 21, 93)(10, 82, 25, 97)(11, 83, 20, 92)(12, 84, 22, 94)(13, 85, 18, 90)(15, 87, 19, 91)(17, 89, 36, 108)(23, 95, 45, 117)(24, 96, 35, 107)(26, 98, 40, 112)(27, 99, 38, 110)(28, 100, 47, 119)(29, 101, 37, 109)(30, 102, 41, 113)(31, 103, 54, 126)(32, 104, 55, 127)(33, 105, 44, 116)(34, 106, 57, 129)(39, 111, 59, 131)(42, 114, 62, 134)(43, 115, 63, 135)(46, 118, 56, 128)(48, 120, 69, 141)(49, 121, 66, 138)(50, 122, 67, 139)(51, 123, 70, 142)(52, 124, 53, 125)(58, 130, 64, 136)(60, 132, 61, 133)(65, 137, 72, 144)(68, 140, 71, 143)(145, 217, 147, 219, 154, 226, 149, 221)(146, 218, 150, 222, 161, 233, 152, 224)(148, 220, 156, 228, 173, 245, 157, 229)(151, 223, 163, 235, 184, 256, 164, 236)(153, 225, 167, 239, 190, 262, 168, 240)(155, 227, 171, 243, 196, 268, 172, 244)(158, 230, 174, 246, 197, 269, 175, 247)(159, 231, 176, 248, 200, 272, 177, 249)(160, 232, 178, 250, 202, 274, 179, 251)(162, 234, 182, 254, 204, 276, 183, 255)(165, 237, 185, 257, 205, 277, 186, 258)(166, 238, 187, 259, 208, 280, 188, 260)(169, 241, 192, 264, 181, 253, 193, 265)(170, 242, 194, 266, 180, 252, 195, 267)(189, 261, 209, 281, 203, 275, 210, 282)(191, 263, 211, 283, 201, 273, 212, 284)(198, 270, 213, 285, 207, 279, 215, 287)(199, 271, 216, 288, 206, 278, 214, 286)
	L = (1, 148)(2, 151)(3, 155)(4, 145)(5, 159)(6, 162)(7, 146)(8, 166)(9, 164)(10, 170)(11, 147)(12, 165)(13, 160)(14, 163)(15, 149)(16, 157)(17, 181)(18, 150)(19, 158)(20, 153)(21, 156)(22, 152)(23, 191)(24, 182)(25, 184)(26, 154)(27, 179)(28, 189)(29, 180)(30, 188)(31, 199)(32, 198)(33, 185)(34, 203)(35, 171)(36, 173)(37, 161)(38, 168)(39, 201)(40, 169)(41, 177)(42, 207)(43, 206)(44, 174)(45, 172)(46, 197)(47, 167)(48, 214)(49, 211)(50, 210)(51, 213)(52, 200)(53, 190)(54, 176)(55, 175)(56, 196)(57, 183)(58, 205)(59, 178)(60, 208)(61, 202)(62, 187)(63, 186)(64, 204)(65, 215)(66, 194)(67, 193)(68, 216)(69, 195)(70, 192)(71, 209)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1471 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, (R * Y2 * Y3)^2, (Y2 * Y3 * Y2 * Y1)^2, Y2 * Y1 * Y2^-2 * Y3 * Y2^-2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 14, 86)(6, 78, 16, 88)(8, 80, 21, 93)(10, 82, 25, 97)(11, 83, 19, 91)(12, 84, 18, 90)(13, 85, 22, 94)(15, 87, 20, 92)(17, 89, 36, 108)(23, 95, 42, 114)(24, 96, 46, 118)(26, 98, 40, 112)(27, 99, 44, 116)(28, 100, 47, 119)(29, 101, 37, 109)(30, 102, 53, 125)(31, 103, 34, 106)(32, 104, 55, 127)(33, 105, 38, 110)(35, 107, 58, 130)(39, 111, 59, 131)(41, 113, 61, 133)(43, 115, 63, 135)(45, 117, 56, 128)(48, 120, 66, 138)(49, 121, 69, 141)(50, 122, 68, 140)(51, 123, 70, 142)(52, 124, 54, 126)(57, 129, 64, 136)(60, 132, 62, 134)(65, 137, 72, 144)(67, 139, 71, 143)(145, 217, 147, 219, 154, 226, 149, 221)(146, 218, 150, 222, 161, 233, 152, 224)(148, 220, 156, 228, 173, 245, 157, 229)(151, 223, 163, 235, 184, 256, 164, 236)(153, 225, 167, 239, 189, 261, 168, 240)(155, 227, 171, 243, 196, 268, 172, 244)(158, 230, 174, 246, 198, 270, 175, 247)(159, 231, 176, 248, 200, 272, 177, 249)(160, 232, 178, 250, 201, 273, 179, 251)(162, 234, 182, 254, 204, 276, 183, 255)(165, 237, 185, 257, 206, 278, 186, 258)(166, 238, 187, 259, 208, 280, 188, 260)(169, 241, 192, 264, 181, 253, 193, 265)(170, 242, 194, 266, 180, 252, 195, 267)(190, 262, 209, 281, 207, 279, 210, 282)(191, 263, 211, 283, 205, 277, 212, 284)(197, 269, 213, 285, 203, 275, 215, 287)(199, 271, 214, 286, 202, 274, 216, 288)
	L = (1, 148)(2, 151)(3, 155)(4, 145)(5, 159)(6, 162)(7, 146)(8, 166)(9, 163)(10, 170)(11, 147)(12, 160)(13, 165)(14, 164)(15, 149)(16, 156)(17, 181)(18, 150)(19, 153)(20, 158)(21, 157)(22, 152)(23, 188)(24, 191)(25, 184)(26, 154)(27, 186)(28, 190)(29, 180)(30, 199)(31, 182)(32, 197)(33, 178)(34, 177)(35, 203)(36, 173)(37, 161)(38, 175)(39, 202)(40, 169)(41, 207)(42, 171)(43, 205)(44, 167)(45, 198)(46, 172)(47, 168)(48, 212)(49, 214)(50, 210)(51, 213)(52, 200)(53, 176)(54, 189)(55, 174)(56, 196)(57, 206)(58, 183)(59, 179)(60, 208)(61, 187)(62, 201)(63, 185)(64, 204)(65, 215)(66, 194)(67, 216)(68, 192)(69, 195)(70, 193)(71, 209)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1468
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1472 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y2^4, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, (Y2 * R * Y3)^2, (Y2^-1 * Y3)^4, Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 6, 78)(4, 76, 7, 79)(5, 77, 8, 80)(9, 81, 14, 86)(10, 82, 15, 87)(11, 83, 16, 88)(12, 84, 17, 89)(13, 85, 18, 90)(19, 91, 27, 99)(20, 92, 28, 100)(21, 93, 29, 101)(22, 94, 30, 102)(23, 95, 31, 103)(24, 96, 32, 104)(25, 97, 33, 105)(26, 98, 34, 106)(35, 107, 46, 118)(36, 108, 47, 119)(37, 109, 48, 120)(38, 110, 49, 121)(39, 111, 50, 122)(40, 112, 51, 123)(41, 113, 52, 124)(42, 114, 53, 125)(43, 115, 54, 126)(44, 116, 55, 127)(45, 117, 56, 128)(57, 129, 65, 137)(58, 130, 66, 138)(59, 131, 67, 139)(60, 132, 68, 140)(61, 133, 69, 141)(62, 134, 70, 142)(63, 135, 71, 143)(64, 136, 72, 144)(145, 217, 147, 219, 153, 225, 149, 221)(146, 218, 150, 222, 158, 230, 152, 224)(148, 220, 155, 227, 166, 238, 156, 228)(151, 223, 160, 232, 174, 246, 161, 233)(154, 226, 164, 236, 181, 253, 165, 237)(157, 229, 169, 241, 188, 260, 170, 242)(159, 231, 172, 244, 192, 264, 173, 245)(162, 234, 177, 249, 199, 271, 178, 250)(163, 235, 179, 251, 195, 267, 180, 252)(167, 239, 185, 257, 205, 277, 186, 258)(168, 240, 187, 259, 203, 275, 182, 254)(171, 243, 190, 262, 184, 256, 191, 263)(175, 247, 196, 268, 213, 285, 197, 269)(176, 248, 198, 270, 211, 283, 193, 265)(183, 255, 204, 276, 215, 287, 201, 273)(189, 261, 202, 274, 214, 286, 208, 280)(194, 266, 212, 284, 207, 279, 209, 281)(200, 272, 210, 282, 206, 278, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 157)(6, 159)(7, 146)(8, 162)(9, 163)(10, 147)(11, 167)(12, 168)(13, 149)(14, 171)(15, 150)(16, 175)(17, 176)(18, 152)(19, 153)(20, 182)(21, 183)(22, 184)(23, 155)(24, 156)(25, 189)(26, 185)(27, 158)(28, 193)(29, 194)(30, 195)(31, 160)(32, 161)(33, 200)(34, 196)(35, 201)(36, 202)(37, 199)(38, 164)(39, 165)(40, 166)(41, 170)(42, 206)(43, 207)(44, 192)(45, 169)(46, 209)(47, 210)(48, 188)(49, 172)(50, 173)(51, 174)(52, 178)(53, 214)(54, 215)(55, 181)(56, 177)(57, 179)(58, 180)(59, 213)(60, 216)(61, 211)(62, 186)(63, 187)(64, 212)(65, 190)(66, 191)(67, 205)(68, 208)(69, 203)(70, 197)(71, 198)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1473
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1473 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, (R * Y2 * Y3)^2, (Y2 * Y3 * Y2 * Y1)^2, Y2 * Y1 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 14, 86)(6, 78, 16, 88)(8, 80, 21, 93)(10, 82, 25, 97)(11, 83, 19, 91)(12, 84, 18, 90)(13, 85, 22, 94)(15, 87, 20, 92)(17, 89, 36, 108)(23, 95, 42, 114)(24, 96, 46, 118)(26, 98, 40, 112)(27, 99, 44, 116)(28, 100, 47, 119)(29, 101, 37, 109)(30, 102, 53, 125)(31, 103, 34, 106)(32, 104, 55, 127)(33, 105, 38, 110)(35, 107, 58, 130)(39, 111, 59, 131)(41, 113, 61, 133)(43, 115, 63, 135)(45, 117, 54, 126)(48, 120, 66, 138)(49, 121, 69, 141)(50, 122, 68, 140)(51, 123, 70, 142)(52, 124, 56, 128)(57, 129, 62, 134)(60, 132, 64, 136)(65, 137, 71, 143)(67, 139, 72, 144)(145, 217, 147, 219, 154, 226, 149, 221)(146, 218, 150, 222, 161, 233, 152, 224)(148, 220, 156, 228, 173, 245, 157, 229)(151, 223, 163, 235, 184, 256, 164, 236)(153, 225, 167, 239, 189, 261, 168, 240)(155, 227, 171, 243, 196, 268, 172, 244)(158, 230, 174, 246, 198, 270, 175, 247)(159, 231, 176, 248, 200, 272, 177, 249)(160, 232, 178, 250, 201, 273, 179, 251)(162, 234, 182, 254, 204, 276, 183, 255)(165, 237, 185, 257, 206, 278, 186, 258)(166, 238, 187, 259, 208, 280, 188, 260)(169, 241, 192, 264, 180, 252, 193, 265)(170, 242, 194, 266, 181, 253, 195, 267)(190, 262, 209, 281, 205, 277, 210, 282)(191, 263, 211, 283, 207, 279, 212, 284)(197, 269, 213, 285, 202, 274, 215, 287)(199, 271, 214, 286, 203, 275, 216, 288)
	L = (1, 148)(2, 151)(3, 155)(4, 145)(5, 159)(6, 162)(7, 146)(8, 166)(9, 163)(10, 170)(11, 147)(12, 160)(13, 165)(14, 164)(15, 149)(16, 156)(17, 181)(18, 150)(19, 153)(20, 158)(21, 157)(22, 152)(23, 188)(24, 191)(25, 184)(26, 154)(27, 186)(28, 190)(29, 180)(30, 199)(31, 182)(32, 197)(33, 178)(34, 177)(35, 203)(36, 173)(37, 161)(38, 175)(39, 202)(40, 169)(41, 207)(42, 171)(43, 205)(44, 167)(45, 200)(46, 172)(47, 168)(48, 212)(49, 214)(50, 210)(51, 213)(52, 198)(53, 176)(54, 196)(55, 174)(56, 189)(57, 208)(58, 183)(59, 179)(60, 206)(61, 187)(62, 204)(63, 185)(64, 201)(65, 216)(66, 194)(67, 215)(68, 192)(69, 195)(70, 193)(71, 211)(72, 209)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1472
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1474 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-2)^2, (Y1 * Y2 * Y3^-1)^2, (Y3 * Y2^2)^2, Y2^-2 * Y1 * Y3^-1 * Y2^-2 * Y1, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 22, 94)(9, 81, 28, 100)(12, 84, 36, 108)(13, 85, 35, 107)(14, 86, 27, 99)(15, 87, 30, 102)(16, 88, 25, 97)(18, 90, 47, 119)(19, 91, 26, 98)(20, 92, 48, 120)(21, 93, 51, 123)(23, 95, 37, 109)(24, 96, 44, 116)(29, 101, 43, 115)(31, 103, 53, 125)(32, 104, 50, 122)(33, 105, 65, 137)(34, 106, 55, 127)(38, 110, 56, 128)(39, 111, 67, 139)(40, 112, 58, 130)(41, 113, 69, 141)(42, 114, 60, 132)(45, 117, 61, 133)(46, 118, 71, 143)(49, 121, 64, 136)(52, 124, 63, 135)(54, 126, 66, 138)(57, 129, 68, 140)(59, 131, 70, 142)(62, 134, 72, 144)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 167, 239, 153, 225)(148, 220, 159, 231, 182, 254, 160, 232)(150, 222, 164, 236, 181, 253, 165, 237)(152, 224, 170, 242, 200, 272, 171, 243)(154, 226, 175, 247, 180, 252, 176, 248)(155, 227, 177, 249, 191, 263, 178, 250)(157, 229, 183, 255, 163, 235, 184, 256)(158, 230, 185, 257, 162, 234, 186, 258)(161, 233, 189, 261, 179, 251, 190, 262)(166, 238, 198, 270, 187, 259, 199, 271)(168, 240, 201, 273, 174, 246, 202, 274)(169, 241, 203, 275, 173, 245, 204, 276)(172, 244, 205, 277, 188, 260, 206, 278)(192, 264, 210, 282, 207, 279, 211, 283)(193, 265, 212, 284, 197, 269, 209, 281)(194, 266, 214, 286, 196, 268, 215, 287)(195, 267, 213, 285, 208, 280, 216, 288)
	L = (1, 148)(2, 152)(3, 157)(4, 150)(5, 162)(6, 145)(7, 168)(8, 154)(9, 173)(10, 146)(11, 171)(12, 181)(13, 158)(14, 147)(15, 187)(16, 188)(17, 170)(18, 163)(19, 149)(20, 193)(21, 196)(22, 160)(23, 180)(24, 169)(25, 151)(26, 191)(27, 179)(28, 159)(29, 174)(30, 153)(31, 207)(32, 208)(33, 210)(34, 201)(35, 155)(36, 200)(37, 182)(38, 156)(39, 212)(40, 198)(41, 214)(42, 206)(43, 172)(44, 166)(45, 203)(46, 216)(47, 161)(48, 176)(49, 194)(50, 164)(51, 175)(52, 197)(53, 165)(54, 209)(55, 183)(56, 167)(57, 211)(58, 177)(59, 213)(60, 190)(61, 185)(62, 215)(63, 195)(64, 192)(65, 184)(66, 202)(67, 178)(68, 199)(69, 189)(70, 205)(71, 186)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1475 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3^-1 * Y1)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1 * Y2^-1)^2, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y2^-2 * Y1 * Y2^2 * Y3 * Y1, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3, (Y3 * Y2^-1)^4, (Y2 * Y3 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 22, 94)(9, 81, 28, 100)(12, 84, 36, 108)(13, 85, 35, 107)(14, 86, 26, 98)(15, 87, 25, 97)(16, 88, 30, 102)(18, 90, 47, 119)(19, 91, 27, 99)(20, 92, 48, 120)(21, 93, 51, 123)(23, 95, 37, 109)(24, 96, 43, 115)(29, 101, 44, 116)(31, 103, 50, 122)(32, 104, 53, 125)(33, 105, 62, 134)(34, 106, 66, 138)(38, 110, 56, 128)(39, 111, 65, 137)(40, 112, 60, 132)(41, 113, 69, 141)(42, 114, 58, 130)(45, 117, 71, 143)(46, 118, 54, 126)(49, 121, 63, 135)(52, 124, 64, 136)(55, 127, 72, 144)(57, 129, 70, 142)(59, 131, 68, 140)(61, 133, 67, 139)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 167, 239, 153, 225)(148, 220, 159, 231, 182, 254, 160, 232)(150, 222, 164, 236, 181, 253, 165, 237)(152, 224, 170, 242, 200, 272, 171, 243)(154, 226, 175, 247, 180, 252, 176, 248)(155, 227, 177, 249, 191, 263, 178, 250)(157, 229, 183, 255, 163, 235, 184, 256)(158, 230, 185, 257, 162, 234, 186, 258)(161, 233, 189, 261, 179, 251, 190, 262)(166, 238, 198, 270, 188, 260, 199, 271)(168, 240, 201, 273, 174, 246, 202, 274)(169, 241, 203, 275, 173, 245, 204, 276)(172, 244, 205, 277, 187, 259, 206, 278)(192, 264, 209, 281, 208, 280, 211, 283)(193, 265, 212, 284, 197, 269, 210, 282)(194, 266, 214, 286, 196, 268, 215, 287)(195, 267, 216, 288, 207, 279, 213, 285)
	L = (1, 148)(2, 152)(3, 157)(4, 150)(5, 162)(6, 145)(7, 168)(8, 154)(9, 173)(10, 146)(11, 170)(12, 181)(13, 158)(14, 147)(15, 187)(16, 188)(17, 171)(18, 163)(19, 149)(20, 193)(21, 196)(22, 159)(23, 180)(24, 169)(25, 151)(26, 179)(27, 191)(28, 160)(29, 174)(30, 153)(31, 207)(32, 208)(33, 203)(34, 211)(35, 155)(36, 200)(37, 182)(38, 156)(39, 212)(40, 205)(41, 214)(42, 199)(43, 166)(44, 172)(45, 216)(46, 201)(47, 161)(48, 175)(49, 194)(50, 164)(51, 176)(52, 197)(53, 165)(54, 185)(55, 215)(56, 167)(57, 213)(58, 189)(59, 209)(60, 178)(61, 210)(62, 183)(63, 192)(64, 195)(65, 177)(66, 184)(67, 204)(68, 206)(69, 190)(70, 198)(71, 186)(72, 202)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1477
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1476 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^4, (R * Y1)^2, (Y1 * Y3^-1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, R * Y1 * Y3 * R * Y1 * Y3^-1, Y2^-2 * Y3^-1 * Y2^2 * Y3^-1, Y2^-1 * R * Y2^-2 * Y3 * R * Y2^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y2 * R * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 20, 92)(9, 81, 18, 90)(12, 84, 32, 104)(13, 85, 31, 103)(14, 86, 30, 102)(15, 87, 25, 97)(16, 88, 41, 113)(19, 91, 27, 99)(21, 93, 48, 120)(22, 94, 51, 123)(23, 95, 47, 119)(24, 96, 46, 118)(26, 98, 49, 121)(28, 100, 42, 114)(29, 101, 37, 109)(33, 105, 45, 117)(34, 106, 62, 134)(35, 107, 59, 131)(36, 108, 44, 116)(38, 110, 54, 126)(39, 111, 56, 128)(40, 112, 55, 127)(43, 115, 58, 130)(50, 122, 57, 129)(52, 124, 67, 139)(53, 125, 63, 135)(60, 132, 68, 140)(61, 133, 65, 137)(64, 136, 71, 143)(66, 138, 70, 142)(69, 141, 72, 144)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 166, 238, 153, 225)(148, 220, 159, 231, 178, 250, 160, 232)(150, 222, 164, 236, 177, 249, 165, 237)(152, 224, 169, 241, 196, 268, 170, 242)(154, 226, 155, 227, 173, 245, 172, 244)(157, 229, 179, 251, 163, 235, 180, 252)(158, 230, 181, 253, 162, 234, 182, 254)(161, 233, 188, 260, 168, 240, 189, 261)(167, 239, 197, 269, 171, 243, 198, 270)(174, 246, 203, 275, 202, 274, 204, 276)(175, 247, 176, 248, 185, 257, 205, 277)(183, 255, 208, 280, 187, 259, 209, 281)(184, 256, 211, 283, 186, 258, 212, 284)(190, 262, 207, 279, 194, 266, 210, 282)(191, 263, 195, 267, 193, 265, 213, 285)(192, 264, 214, 286, 200, 272, 206, 278)(199, 271, 215, 287, 201, 273, 216, 288)
	L = (1, 148)(2, 152)(3, 157)(4, 150)(5, 162)(6, 145)(7, 167)(8, 154)(9, 161)(10, 146)(11, 174)(12, 177)(13, 158)(14, 147)(15, 183)(16, 186)(17, 171)(18, 163)(19, 149)(20, 190)(21, 193)(22, 173)(23, 168)(24, 151)(25, 199)(26, 192)(27, 153)(28, 185)(29, 196)(30, 175)(31, 155)(32, 206)(33, 178)(34, 156)(35, 207)(36, 209)(37, 195)(38, 212)(39, 184)(40, 159)(41, 202)(42, 187)(43, 160)(44, 214)(45, 176)(46, 191)(47, 164)(48, 201)(49, 194)(50, 165)(51, 211)(52, 166)(53, 203)(54, 216)(55, 200)(56, 169)(57, 170)(58, 172)(59, 215)(60, 198)(61, 188)(62, 189)(63, 208)(64, 179)(65, 210)(66, 180)(67, 181)(68, 213)(69, 182)(70, 205)(71, 197)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1477 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^4, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3 * Y2^2 * Y3, R * Y2^-2 * Y3 * R * Y2^-2, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y2^-1 * R * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 13, 85)(9, 81, 21, 93)(12, 84, 31, 103)(14, 86, 23, 95)(15, 87, 38, 110)(16, 88, 25, 97)(18, 90, 45, 117)(19, 91, 43, 115)(20, 92, 46, 118)(22, 94, 51, 123)(24, 96, 47, 119)(26, 98, 50, 122)(27, 99, 49, 121)(28, 100, 39, 111)(29, 101, 32, 104)(30, 102, 37, 109)(33, 105, 59, 131)(34, 106, 44, 116)(35, 107, 54, 126)(36, 108, 65, 137)(40, 112, 58, 130)(41, 113, 57, 129)(42, 114, 56, 128)(48, 120, 55, 127)(52, 124, 62, 134)(53, 125, 66, 138)(60, 132, 69, 141)(61, 133, 68, 140)(63, 135, 70, 142)(64, 136, 72, 144)(67, 139, 71, 143)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 166, 238, 153, 225)(148, 220, 159, 231, 177, 249, 160, 232)(150, 222, 164, 236, 176, 248, 165, 237)(152, 224, 168, 240, 196, 268, 169, 241)(154, 226, 172, 244, 188, 260, 161, 233)(155, 227, 173, 245, 171, 243, 174, 246)(157, 229, 178, 250, 163, 235, 179, 251)(158, 230, 180, 252, 162, 234, 181, 253)(167, 239, 197, 269, 170, 242, 198, 270)(175, 247, 189, 261, 205, 277, 182, 254)(183, 255, 206, 278, 186, 258, 207, 279)(184, 256, 211, 283, 185, 257, 212, 284)(187, 259, 214, 286, 202, 274, 209, 281)(190, 262, 203, 275, 201, 273, 204, 276)(191, 263, 195, 267, 194, 266, 208, 280)(192, 264, 210, 282, 193, 265, 213, 285)(199, 271, 215, 287, 200, 272, 216, 288)
	L = (1, 148)(2, 152)(3, 157)(4, 150)(5, 162)(6, 145)(7, 155)(8, 154)(9, 170)(10, 146)(11, 167)(12, 176)(13, 158)(14, 147)(15, 183)(16, 185)(17, 187)(18, 163)(19, 149)(20, 191)(21, 193)(22, 188)(23, 151)(24, 190)(25, 200)(26, 171)(27, 153)(28, 182)(29, 175)(30, 204)(31, 203)(32, 177)(33, 156)(34, 195)(35, 207)(36, 210)(37, 212)(38, 202)(39, 184)(40, 159)(41, 186)(42, 160)(43, 189)(44, 196)(45, 161)(46, 199)(47, 192)(48, 164)(49, 194)(50, 165)(51, 206)(52, 166)(53, 209)(54, 216)(55, 168)(56, 201)(57, 169)(58, 172)(59, 173)(60, 205)(61, 174)(62, 178)(63, 208)(64, 179)(65, 215)(66, 211)(67, 180)(68, 213)(69, 181)(70, 198)(71, 197)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1475
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1478 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, Y2^-1 * Y3^2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^6, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, (Y3, Y2^-1, Y3), Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 18, 90)(6, 78, 8, 80)(7, 79, 24, 96)(9, 81, 30, 102)(12, 84, 16, 88)(13, 85, 19, 91)(14, 86, 27, 99)(15, 87, 26, 98)(17, 89, 32, 104)(20, 92, 29, 101)(21, 93, 49, 121)(22, 94, 52, 124)(23, 95, 28, 100)(25, 97, 31, 103)(33, 105, 62, 134)(34, 106, 64, 136)(35, 107, 43, 115)(36, 108, 63, 135)(37, 109, 60, 132)(38, 110, 67, 139)(39, 111, 58, 130)(40, 112, 48, 120)(41, 113, 45, 117)(42, 114, 54, 126)(44, 116, 51, 123)(46, 118, 69, 141)(47, 119, 55, 127)(50, 122, 53, 125)(56, 128, 68, 140)(57, 129, 72, 144)(59, 131, 65, 137)(61, 133, 66, 138)(70, 142, 71, 143)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 167, 239, 153, 225)(148, 220, 159, 231, 179, 251, 161, 233)(150, 222, 165, 237, 154, 226, 166, 238)(152, 224, 171, 243, 187, 259, 173, 245)(155, 227, 177, 249, 184, 256, 178, 250)(157, 229, 180, 252, 164, 236, 181, 253)(158, 230, 182, 254, 163, 235, 183, 255)(160, 232, 186, 258, 172, 244, 188, 260)(162, 234, 190, 262, 192, 264, 191, 263)(168, 240, 199, 271, 189, 261, 200, 272)(169, 241, 201, 273, 176, 248, 202, 274)(170, 242, 203, 275, 175, 247, 204, 276)(174, 246, 205, 277, 185, 257, 206, 278)(193, 265, 207, 279, 214, 286, 209, 281)(194, 266, 210, 282, 198, 270, 208, 280)(195, 267, 212, 284, 197, 269, 213, 285)(196, 268, 216, 288, 215, 287, 211, 283)
	L = (1, 148)(2, 152)(3, 157)(4, 160)(5, 163)(6, 145)(7, 169)(8, 172)(9, 175)(10, 146)(11, 171)(12, 154)(13, 162)(14, 147)(15, 185)(16, 187)(17, 189)(18, 173)(19, 155)(20, 149)(21, 194)(22, 197)(23, 150)(24, 159)(25, 174)(26, 151)(27, 192)(28, 179)(29, 184)(30, 161)(31, 168)(32, 153)(33, 203)(34, 209)(35, 156)(36, 210)(37, 205)(38, 212)(39, 200)(40, 158)(41, 176)(42, 214)(43, 167)(44, 215)(45, 170)(46, 216)(47, 201)(48, 164)(49, 188)(50, 196)(51, 165)(52, 186)(53, 193)(54, 166)(55, 182)(56, 211)(57, 213)(58, 190)(59, 208)(60, 178)(61, 207)(62, 180)(63, 177)(64, 181)(65, 206)(66, 204)(67, 191)(68, 202)(69, 183)(70, 195)(71, 198)(72, 199)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1483
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1479 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y3^6, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^2 * Y3^-1 * Y2^-1, Y3^2 * Y2^-1 * Y1 * Y3^-2 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 18, 90)(6, 78, 8, 80)(7, 79, 24, 96)(9, 81, 28, 100)(12, 84, 35, 107)(13, 85, 34, 106)(14, 86, 22, 94)(15, 87, 20, 92)(16, 88, 32, 104)(17, 89, 45, 117)(19, 91, 49, 121)(21, 93, 51, 123)(23, 95, 27, 99)(25, 97, 58, 130)(26, 98, 31, 103)(29, 101, 65, 137)(30, 102, 66, 138)(33, 105, 64, 136)(36, 108, 60, 132)(37, 109, 41, 113)(38, 110, 44, 116)(39, 111, 61, 133)(40, 112, 59, 131)(42, 114, 54, 126)(43, 115, 62, 134)(46, 118, 52, 124)(47, 119, 71, 143)(48, 120, 57, 129)(50, 122, 55, 127)(53, 125, 56, 128)(63, 135, 70, 142)(67, 139, 69, 141)(68, 140, 72, 144)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 169, 241, 153, 225)(148, 220, 159, 231, 181, 253, 161, 233)(150, 222, 165, 237, 180, 252, 166, 238)(152, 224, 164, 236, 183, 255, 157, 229)(154, 226, 174, 246, 203, 275, 175, 247)(155, 227, 177, 249, 196, 268, 171, 243)(158, 230, 184, 256, 163, 235, 185, 257)(160, 232, 168, 240, 201, 273, 188, 260)(162, 234, 191, 263, 190, 262, 192, 264)(167, 239, 199, 271, 214, 286, 200, 272)(170, 242, 204, 276, 173, 245, 205, 277)(172, 244, 207, 279, 182, 254, 208, 280)(176, 248, 194, 266, 215, 287, 186, 258)(178, 250, 212, 284, 189, 261, 213, 285)(179, 251, 197, 269, 202, 274, 198, 270)(187, 259, 210, 282, 216, 288, 209, 281)(193, 265, 206, 278, 195, 267, 211, 283)
	L = (1, 148)(2, 152)(3, 157)(4, 160)(5, 163)(6, 145)(7, 161)(8, 171)(9, 173)(10, 146)(11, 166)(12, 180)(13, 182)(14, 147)(15, 153)(16, 187)(17, 190)(18, 159)(19, 194)(20, 149)(21, 196)(22, 198)(23, 150)(24, 175)(25, 203)(26, 151)(27, 206)(28, 164)(29, 199)(30, 188)(31, 197)(32, 154)(33, 183)(34, 155)(35, 185)(36, 214)(37, 156)(38, 210)(39, 169)(40, 202)(41, 192)(42, 158)(43, 167)(44, 178)(45, 168)(46, 195)(47, 184)(48, 212)(49, 162)(50, 209)(51, 200)(52, 189)(53, 165)(54, 174)(55, 193)(56, 170)(57, 181)(58, 205)(59, 215)(60, 179)(61, 208)(62, 176)(63, 204)(64, 213)(65, 172)(66, 186)(67, 177)(68, 207)(69, 191)(70, 216)(71, 211)(72, 201)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1482
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1480 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3^-1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3^-1, R * Y2 * Y1 * R * Y2^-1, Y3^6, Y3^2 * Y1 * Y2^-1 * Y3^-2 * Y2^-1, Y2^-2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, (Y2^2 * Y3^-2)^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 18, 90)(6, 78, 8, 80)(7, 79, 24, 96)(9, 81, 28, 100)(12, 84, 36, 108)(13, 85, 35, 107)(14, 86, 17, 89)(15, 87, 43, 115)(16, 88, 32, 104)(19, 91, 48, 120)(20, 92, 21, 93)(22, 94, 52, 124)(23, 95, 27, 99)(25, 97, 60, 132)(26, 98, 59, 131)(29, 101, 30, 102)(31, 103, 66, 138)(33, 105, 65, 137)(34, 106, 68, 140)(37, 109, 62, 134)(38, 110, 41, 113)(39, 111, 61, 133)(40, 112, 56, 128)(42, 114, 63, 135)(44, 116, 53, 125)(45, 117, 49, 121)(46, 118, 64, 136)(47, 119, 57, 129)(50, 122, 51, 123)(54, 126, 55, 127)(58, 130, 71, 143)(67, 139, 72, 144)(69, 141, 70, 142)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 169, 241, 153, 225)(148, 220, 159, 231, 182, 254, 161, 233)(150, 222, 165, 237, 181, 253, 166, 238)(152, 224, 163, 235, 186, 258, 158, 230)(154, 226, 174, 246, 205, 277, 175, 247)(155, 227, 177, 249, 188, 260, 178, 250)(157, 229, 183, 255, 164, 236, 185, 257)(160, 232, 189, 261, 209, 281, 172, 244)(162, 234, 171, 243, 197, 269, 191, 263)(167, 239, 199, 271, 215, 287, 200, 272)(168, 240, 201, 273, 193, 265, 202, 274)(170, 242, 206, 278, 173, 245, 207, 279)(176, 248, 194, 266, 212, 284, 184, 256)(179, 251, 214, 286, 196, 268, 208, 280)(180, 252, 195, 267, 204, 276, 198, 270)(187, 259, 211, 283, 192, 264, 213, 285)(190, 262, 203, 275, 216, 288, 210, 282)
	L = (1, 148)(2, 152)(3, 157)(4, 160)(5, 163)(6, 145)(7, 170)(8, 171)(9, 159)(10, 146)(11, 161)(12, 181)(13, 184)(14, 147)(15, 188)(16, 190)(17, 151)(18, 165)(19, 193)(20, 149)(21, 195)(22, 197)(23, 150)(24, 158)(25, 205)(26, 200)(27, 208)(28, 174)(29, 153)(30, 198)(31, 189)(32, 154)(33, 211)(34, 183)(35, 155)(36, 185)(37, 215)(38, 156)(39, 204)(40, 203)(41, 177)(42, 169)(43, 172)(44, 196)(45, 192)(46, 167)(47, 186)(48, 162)(49, 210)(50, 164)(51, 175)(52, 199)(53, 187)(54, 166)(55, 173)(56, 179)(57, 213)(58, 206)(59, 168)(60, 207)(61, 212)(62, 180)(63, 201)(64, 176)(65, 182)(66, 194)(67, 202)(68, 214)(69, 178)(70, 191)(71, 216)(72, 209)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1481
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1481 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, Y2^4, Y3^-1 * Y1 * Y2^2, (R * Y1)^2, Y1 * Y2^-2 * Y3^-1, (R * Y3)^2, Y2^-1 * Y3^-2 * Y1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^6, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y1 * Y3^-2 * Y2 * Y3 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 13, 85)(6, 78, 8, 80)(7, 79, 19, 91)(9, 81, 21, 93)(12, 84, 29, 101)(14, 86, 26, 98)(15, 87, 33, 105)(16, 88, 36, 108)(17, 89, 38, 110)(18, 90, 22, 94)(20, 92, 44, 116)(23, 95, 48, 120)(24, 96, 51, 123)(25, 97, 53, 125)(27, 99, 47, 119)(28, 100, 57, 129)(30, 102, 55, 127)(31, 103, 61, 133)(32, 104, 42, 114)(34, 106, 49, 121)(35, 107, 56, 128)(37, 109, 52, 124)(39, 111, 54, 126)(40, 112, 45, 117)(41, 113, 50, 122)(43, 115, 65, 137)(46, 118, 69, 141)(58, 130, 68, 140)(59, 131, 72, 144)(60, 132, 66, 138)(62, 134, 71, 143)(63, 135, 70, 142)(64, 136, 67, 139)(145, 217, 147, 219, 152, 224, 149, 221)(146, 218, 151, 223, 148, 220, 153, 225)(150, 222, 160, 232, 166, 238, 161, 233)(154, 226, 168, 240, 158, 230, 169, 241)(155, 227, 171, 243, 156, 228, 172, 244)(157, 229, 175, 247, 159, 231, 176, 248)(162, 234, 184, 256, 193, 265, 185, 257)(163, 235, 186, 258, 164, 236, 187, 259)(165, 237, 190, 262, 167, 239, 191, 263)(170, 242, 199, 271, 178, 250, 200, 272)(173, 245, 203, 275, 174, 246, 204, 276)(177, 249, 207, 279, 179, 251, 208, 280)(180, 252, 201, 273, 181, 253, 202, 274)(182, 254, 206, 278, 183, 255, 205, 277)(188, 260, 211, 283, 189, 261, 212, 284)(192, 264, 215, 287, 194, 266, 216, 288)(195, 267, 209, 281, 196, 268, 210, 282)(197, 269, 214, 286, 198, 270, 213, 285)
	L = (1, 148)(2, 152)(3, 156)(4, 158)(5, 159)(6, 145)(7, 164)(8, 166)(9, 167)(10, 146)(11, 149)(12, 174)(13, 147)(14, 178)(15, 179)(16, 181)(17, 183)(18, 150)(19, 153)(20, 189)(21, 151)(22, 193)(23, 194)(24, 196)(25, 198)(26, 154)(27, 190)(28, 202)(29, 155)(30, 200)(31, 206)(32, 187)(33, 157)(34, 162)(35, 199)(36, 161)(37, 195)(38, 160)(39, 197)(40, 188)(41, 192)(42, 175)(43, 210)(44, 163)(45, 185)(46, 214)(47, 172)(48, 165)(49, 170)(50, 184)(51, 169)(52, 180)(53, 168)(54, 182)(55, 173)(56, 177)(57, 171)(58, 211)(59, 215)(60, 209)(61, 176)(62, 216)(63, 213)(64, 212)(65, 186)(66, 203)(67, 207)(68, 201)(69, 191)(70, 208)(71, 205)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1480
Graph:: bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1482 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3^-1)^2, (Y1 * Y3^-1)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, (Y3 * Y2^-2)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2^-1 * Y1 * Y3 * Y2^-1, Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y3^-1, Y3^2 * Y2 * Y1 * Y2^-1 * Y1, Y3^6, (Y2 * Y3^-1)^4, (Y1 * Y2 * Y3^-1 * Y2^-1)^2, Y2^-2 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1, (Y2 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 18, 90)(6, 78, 8, 80)(7, 79, 24, 96)(9, 81, 31, 103)(12, 84, 40, 112)(13, 85, 39, 111)(14, 86, 38, 110)(15, 87, 28, 100)(16, 88, 36, 108)(17, 89, 49, 121)(19, 91, 47, 119)(20, 92, 33, 105)(21, 93, 50, 122)(22, 94, 43, 115)(23, 95, 29, 101)(25, 97, 56, 128)(26, 98, 55, 127)(27, 99, 54, 126)(30, 102, 65, 137)(32, 104, 63, 135)(34, 106, 66, 138)(35, 107, 59, 131)(37, 109, 68, 140)(41, 113, 61, 133)(42, 114, 67, 139)(44, 116, 62, 134)(45, 117, 57, 129)(46, 118, 60, 132)(48, 120, 64, 136)(51, 123, 58, 130)(52, 124, 53, 125)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 169, 241, 153, 225)(148, 220, 159, 231, 186, 258, 161, 233)(150, 222, 165, 237, 185, 257, 166, 238)(152, 224, 172, 244, 202, 274, 174, 246)(154, 226, 178, 250, 201, 273, 179, 251)(155, 227, 181, 253, 198, 270, 173, 245)(157, 229, 180, 252, 164, 236, 188, 260)(158, 230, 189, 261, 163, 235, 190, 262)(160, 232, 168, 240, 197, 269, 182, 254)(162, 234, 195, 267, 203, 275, 196, 268)(167, 239, 177, 249, 204, 276, 170, 242)(171, 243, 205, 277, 176, 248, 206, 278)(175, 247, 211, 283, 187, 259, 212, 284)(183, 255, 214, 286, 193, 265, 200, 272)(184, 256, 199, 271, 216, 288, 209, 281)(191, 263, 208, 280, 194, 266, 213, 285)(192, 264, 210, 282, 215, 287, 207, 279)
	L = (1, 148)(2, 152)(3, 157)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 176)(10, 146)(11, 182)(12, 185)(13, 187)(14, 147)(15, 191)(16, 192)(17, 171)(18, 177)(19, 172)(20, 149)(21, 179)(22, 183)(23, 150)(24, 198)(25, 201)(26, 203)(27, 151)(28, 207)(29, 208)(30, 158)(31, 164)(32, 159)(33, 153)(34, 166)(35, 199)(36, 154)(37, 202)(38, 209)(39, 155)(40, 211)(41, 204)(42, 156)(43, 210)(44, 213)(45, 200)(46, 205)(47, 162)(48, 167)(49, 165)(50, 161)(51, 212)(52, 214)(53, 186)(54, 193)(55, 168)(56, 195)(57, 188)(58, 169)(59, 194)(60, 215)(61, 184)(62, 189)(63, 175)(64, 180)(65, 178)(66, 174)(67, 196)(68, 216)(69, 181)(70, 190)(71, 197)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1479
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1483 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3^-1)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, (Y2^-1 * Y3^-1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y2^-2 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2, (Y2 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 18, 90)(6, 78, 8, 80)(7, 79, 24, 96)(9, 81, 31, 103)(12, 84, 40, 112)(13, 85, 39, 111)(14, 86, 27, 99)(15, 87, 46, 118)(16, 88, 36, 108)(17, 89, 30, 102)(19, 91, 51, 123)(20, 92, 48, 120)(21, 93, 52, 124)(22, 94, 47, 119)(23, 95, 29, 101)(25, 97, 56, 128)(26, 98, 55, 127)(28, 100, 62, 134)(32, 104, 67, 139)(33, 105, 64, 136)(34, 106, 68, 140)(35, 107, 63, 135)(37, 109, 66, 138)(38, 110, 58, 130)(41, 113, 59, 131)(42, 114, 54, 126)(43, 115, 57, 129)(44, 116, 61, 133)(45, 117, 60, 132)(49, 121, 65, 137)(50, 122, 53, 125)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 169, 241, 153, 225)(148, 220, 159, 231, 186, 258, 161, 233)(150, 222, 165, 237, 185, 257, 166, 238)(152, 224, 172, 244, 202, 274, 174, 246)(154, 226, 178, 250, 201, 273, 179, 251)(155, 227, 181, 253, 212, 284, 182, 254)(157, 229, 187, 259, 164, 236, 188, 260)(158, 230, 180, 252, 163, 235, 189, 261)(160, 232, 192, 264, 210, 282, 175, 247)(162, 234, 173, 245, 208, 280, 194, 266)(167, 239, 176, 248, 205, 277, 171, 243)(168, 240, 197, 269, 196, 268, 198, 270)(170, 242, 203, 275, 177, 249, 204, 276)(183, 255, 214, 286, 191, 263, 209, 281)(184, 256, 206, 278, 215, 287, 211, 283)(190, 262, 213, 285, 195, 267, 200, 272)(193, 265, 199, 271, 216, 288, 207, 279)
	L = (1, 148)(2, 152)(3, 157)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 176)(10, 146)(11, 171)(12, 185)(13, 174)(14, 147)(15, 177)(16, 193)(17, 183)(18, 192)(19, 196)(20, 149)(21, 195)(22, 178)(23, 150)(24, 158)(25, 201)(26, 161)(27, 151)(28, 164)(29, 209)(30, 199)(31, 208)(32, 212)(33, 153)(34, 211)(35, 165)(36, 154)(37, 213)(38, 197)(39, 155)(40, 198)(41, 205)(42, 156)(43, 200)(44, 203)(45, 214)(46, 166)(47, 159)(48, 206)(49, 167)(50, 202)(51, 162)(52, 207)(53, 215)(54, 181)(55, 168)(56, 182)(57, 189)(58, 169)(59, 184)(60, 187)(61, 216)(62, 179)(63, 172)(64, 190)(65, 180)(66, 186)(67, 175)(68, 191)(69, 188)(70, 194)(71, 204)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1478
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1484 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, (Y3^-1 * Y2)^2, (R * Y3)^2, Y3^2 * Y2^-2, Y1^-1 * Y2 * Y1^-1 * Y3^-1, (R * Y1)^2, Y1^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 6, 78, 5, 77)(3, 75, 9, 81, 18, 90, 8, 80)(4, 76, 11, 83, 22, 94, 12, 84)(7, 79, 16, 88, 28, 100, 15, 87)(10, 82, 21, 93, 35, 107, 20, 92)(13, 85, 14, 86, 26, 98, 25, 97)(17, 89, 31, 103, 48, 120, 30, 102)(19, 91, 33, 105, 50, 122, 32, 104)(23, 95, 39, 111, 58, 130, 38, 110)(24, 96, 37, 109, 56, 128, 40, 112)(27, 99, 44, 116, 64, 136, 43, 115)(29, 101, 46, 118, 66, 138, 45, 117)(34, 106, 53, 125, 65, 137, 52, 124)(36, 108, 55, 127, 63, 135, 54, 126)(41, 113, 42, 114, 62, 134, 61, 133)(47, 119, 69, 141, 59, 131, 68, 140)(49, 121, 71, 143, 57, 129, 70, 142)(51, 123, 67, 139, 60, 132, 72, 144)(145, 217, 147, 219, 154, 226, 148, 220)(146, 218, 151, 223, 161, 233, 152, 224)(149, 221, 155, 227, 167, 239, 157, 229)(150, 222, 158, 230, 171, 243, 159, 231)(153, 225, 163, 235, 178, 250, 164, 236)(156, 228, 165, 237, 180, 252, 168, 240)(160, 232, 173, 245, 191, 263, 174, 246)(162, 234, 175, 247, 193, 265, 176, 248)(166, 238, 181, 253, 201, 273, 182, 254)(169, 241, 183, 255, 203, 275, 185, 257)(170, 242, 186, 258, 207, 279, 187, 259)(172, 244, 188, 260, 209, 281, 189, 261)(177, 249, 195, 267, 210, 282, 196, 268)(179, 251, 197, 269, 208, 280, 198, 270)(184, 256, 199, 271, 206, 278, 204, 276)(190, 262, 211, 283, 205, 277, 212, 284)(192, 264, 213, 285, 202, 274, 214, 286)(194, 266, 215, 287, 200, 272, 216, 288)
	L = (1, 148)(2, 152)(3, 145)(4, 154)(5, 157)(6, 159)(7, 146)(8, 161)(9, 164)(10, 147)(11, 149)(12, 168)(13, 167)(14, 150)(15, 171)(16, 174)(17, 151)(18, 176)(19, 153)(20, 178)(21, 156)(22, 182)(23, 155)(24, 180)(25, 185)(26, 187)(27, 158)(28, 189)(29, 160)(30, 191)(31, 162)(32, 193)(33, 196)(34, 163)(35, 198)(36, 165)(37, 166)(38, 201)(39, 169)(40, 204)(41, 203)(42, 170)(43, 207)(44, 172)(45, 209)(46, 212)(47, 173)(48, 214)(49, 175)(50, 216)(51, 177)(52, 210)(53, 179)(54, 208)(55, 184)(56, 215)(57, 181)(58, 213)(59, 183)(60, 206)(61, 211)(62, 199)(63, 186)(64, 197)(65, 188)(66, 195)(67, 190)(68, 205)(69, 192)(70, 202)(71, 194)(72, 200)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1461
Graph:: bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.1485 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y1^4, (Y3, Y1^-1), Y3^4, (R * Y3)^2, (Y3 * Y2^-1)^2, Y2^4, (R * Y1)^2, (Y2 * Y1^-1)^2, Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 32, 104, 11, 83)(4, 76, 10, 82, 7, 79, 12, 84)(6, 78, 18, 90, 42, 114, 21, 93)(9, 81, 26, 98, 49, 121, 25, 97)(14, 86, 37, 109, 58, 130, 36, 108)(15, 87, 33, 105, 16, 88, 31, 103)(17, 89, 28, 100, 50, 122, 29, 101)(19, 91, 24, 96, 46, 118, 40, 112)(20, 92, 44, 116, 22, 94, 34, 106)(23, 95, 30, 102, 48, 120, 35, 107)(27, 99, 52, 124, 67, 139, 51, 123)(38, 110, 59, 131, 39, 111, 56, 128)(41, 113, 53, 125, 68, 140, 54, 126)(43, 115, 60, 132, 70, 142, 61, 133)(45, 117, 57, 129, 69, 141, 62, 134)(47, 119, 64, 136, 71, 143, 63, 135)(55, 127, 65, 137, 72, 144, 66, 138)(145, 217, 147, 219, 158, 230, 150, 222)(146, 218, 153, 225, 171, 243, 155, 227)(148, 220, 161, 233, 185, 257, 160, 232)(149, 221, 162, 234, 187, 259, 163, 235)(151, 223, 164, 236, 189, 261, 167, 239)(152, 224, 168, 240, 191, 263, 169, 241)(154, 226, 174, 246, 199, 271, 173, 245)(156, 228, 175, 247, 200, 272, 178, 250)(157, 229, 179, 251, 201, 273, 180, 252)(159, 231, 184, 256, 204, 276, 183, 255)(165, 237, 181, 253, 198, 270, 172, 244)(166, 238, 182, 254, 195, 267, 170, 242)(176, 248, 196, 268, 210, 282, 192, 264)(177, 249, 197, 269, 207, 279, 190, 262)(186, 258, 194, 266, 209, 281, 205, 277)(188, 260, 193, 265, 208, 280, 206, 278)(202, 274, 213, 285, 215, 287, 212, 284)(203, 275, 214, 286, 216, 288, 211, 283)
	L = (1, 148)(2, 154)(3, 159)(4, 152)(5, 156)(6, 164)(7, 145)(8, 151)(9, 172)(10, 149)(11, 175)(12, 146)(13, 177)(14, 182)(15, 176)(16, 147)(17, 170)(18, 188)(19, 174)(20, 186)(21, 178)(22, 150)(23, 168)(24, 192)(25, 161)(26, 194)(27, 197)(28, 193)(29, 153)(30, 190)(31, 157)(32, 160)(33, 155)(34, 162)(35, 163)(36, 200)(37, 203)(38, 202)(39, 158)(40, 167)(41, 196)(42, 166)(43, 201)(44, 165)(45, 204)(46, 179)(47, 209)(48, 184)(49, 173)(50, 169)(51, 185)(52, 212)(53, 211)(54, 171)(55, 208)(56, 181)(57, 214)(58, 183)(59, 180)(60, 213)(61, 189)(62, 187)(63, 199)(64, 216)(65, 215)(66, 191)(67, 198)(68, 195)(69, 205)(70, 206)(71, 210)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1462
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.1486 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^-2, (R * Y3)^2, (Y2^-1 * Y3)^2, Y3^-2 * Y2^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1, Y3^-1), Y1^4, (Y2 * Y1^-1)^2, (R * Y1)^2, Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y1, (Y2 * Y1)^3, Y1^-2 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 33, 105, 11, 83)(4, 76, 17, 89, 42, 114, 18, 90)(6, 78, 19, 91, 45, 117, 22, 94)(7, 79, 23, 95, 32, 104, 10, 82)(9, 81, 28, 100, 51, 123, 26, 98)(12, 84, 34, 106, 50, 122, 25, 97)(14, 86, 39, 111, 60, 132, 37, 109)(15, 87, 30, 102, 48, 120, 40, 112)(16, 88, 41, 113, 59, 131, 36, 108)(20, 92, 27, 99, 52, 124, 38, 110)(21, 93, 24, 96, 46, 118, 35, 107)(29, 101, 55, 127, 68, 140, 54, 126)(31, 103, 56, 128, 67, 139, 53, 125)(43, 115, 58, 130, 70, 142, 62, 134)(44, 116, 57, 129, 69, 141, 61, 133)(47, 119, 65, 137, 72, 144, 64, 136)(49, 121, 66, 138, 71, 143, 63, 135)(145, 217, 147, 219, 158, 230, 150, 222)(146, 218, 153, 225, 173, 245, 155, 227)(148, 220, 159, 231, 151, 223, 160, 232)(149, 221, 163, 235, 188, 260, 165, 237)(152, 224, 168, 240, 191, 263, 170, 242)(154, 226, 174, 246, 156, 228, 175, 247)(157, 229, 179, 251, 201, 273, 181, 253)(161, 233, 187, 259, 164, 236, 184, 256)(162, 234, 185, 257, 197, 269, 178, 250)(166, 238, 183, 255, 198, 270, 172, 244)(167, 239, 182, 254, 202, 274, 180, 252)(169, 241, 192, 264, 171, 243, 193, 265)(176, 248, 200, 272, 207, 279, 196, 268)(177, 249, 199, 271, 208, 280, 190, 262)(186, 258, 194, 266, 210, 282, 206, 278)(189, 261, 195, 267, 209, 281, 205, 277)(203, 275, 214, 286, 215, 287, 211, 283)(204, 276, 213, 285, 216, 288, 212, 284)
	L = (1, 148)(2, 154)(3, 159)(4, 158)(5, 164)(6, 160)(7, 145)(8, 169)(9, 174)(10, 173)(11, 175)(12, 146)(13, 180)(14, 151)(15, 150)(16, 147)(17, 149)(18, 172)(19, 184)(20, 188)(21, 187)(22, 178)(23, 181)(24, 192)(25, 191)(26, 193)(27, 152)(28, 197)(29, 156)(30, 155)(31, 153)(32, 190)(33, 196)(34, 198)(35, 167)(36, 201)(37, 202)(38, 157)(39, 162)(40, 165)(41, 166)(42, 205)(43, 163)(44, 161)(45, 206)(46, 207)(47, 171)(48, 170)(49, 168)(50, 189)(51, 186)(52, 208)(53, 183)(54, 185)(55, 176)(56, 177)(57, 182)(58, 179)(59, 212)(60, 211)(61, 210)(62, 209)(63, 199)(64, 200)(65, 194)(66, 195)(67, 216)(68, 215)(69, 203)(70, 204)(71, 213)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1463
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.1487 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, (Y1 * Y2 * Y3)^2, (Y2 * Y1^-1)^3, (Y3 * Y1)^3, (Y3 * Y2)^3, Y2 * Y3 * Y1^-1 * Y2 * Y1^2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 74, 2, 78, 6, 77, 5, 73)(3, 81, 9, 97, 25, 83, 11, 75)(4, 84, 12, 104, 32, 86, 14, 76)(7, 91, 19, 117, 45, 93, 21, 79)(8, 94, 22, 122, 50, 96, 24, 80)(10, 100, 28, 130, 58, 102, 30, 82)(13, 106, 34, 120, 48, 92, 20, 85)(15, 108, 36, 127, 55, 98, 26, 87)(16, 110, 38, 134, 62, 105, 33, 88)(17, 111, 39, 135, 63, 113, 41, 89)(18, 114, 42, 139, 67, 116, 44, 90)(23, 123, 51, 137, 65, 112, 40, 95)(27, 128, 56, 107, 35, 129, 57, 99)(29, 121, 49, 136, 64, 126, 54, 101)(31, 119, 47, 138, 66, 131, 59, 103)(37, 115, 43, 140, 68, 132, 60, 109)(46, 142, 70, 124, 52, 143, 71, 118)(53, 144, 72, 133, 61, 141, 69, 125)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 26)(10, 29)(11, 19)(12, 31)(14, 35)(16, 28)(18, 43)(20, 47)(21, 39)(22, 49)(24, 52)(25, 53)(27, 44)(30, 50)(32, 60)(33, 46)(34, 56)(36, 41)(37, 59)(38, 54)(40, 64)(42, 66)(45, 69)(48, 67)(51, 70)(55, 72)(57, 68)(58, 71)(61, 63)(62, 65)(73, 76)(74, 80)(75, 82)(77, 88)(78, 90)(79, 92)(81, 99)(83, 103)(84, 105)(85, 101)(86, 94)(87, 109)(89, 112)(91, 118)(93, 121)(95, 119)(96, 114)(97, 123)(98, 126)(100, 131)(102, 128)(104, 133)(106, 127)(107, 111)(108, 124)(110, 116)(113, 138)(115, 136)(117, 140)(120, 142)(122, 144)(125, 139)(129, 137)(130, 135)(132, 143)(134, 141)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.1488 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3^-1)^3, (Y2 * Y1 * Y3)^2, (Y2 * Y1)^3, (Y2 * Y3)^3, Y3^2 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 73, 4, 76, 14, 86, 5, 77)(2, 74, 7, 79, 22, 94, 8, 80)(3, 75, 10, 82, 29, 101, 11, 83)(6, 78, 18, 90, 43, 115, 19, 91)(9, 81, 25, 97, 53, 125, 26, 98)(12, 84, 23, 95, 50, 122, 32, 104)(13, 85, 30, 102, 57, 129, 33, 105)(15, 87, 36, 108, 46, 118, 20, 92)(16, 88, 38, 110, 41, 113, 28, 100)(17, 89, 39, 111, 63, 135, 40, 112)(21, 93, 44, 116, 67, 139, 47, 119)(24, 96, 52, 124, 27, 99, 42, 114)(31, 103, 55, 127, 70, 142, 58, 130)(34, 106, 59, 131, 66, 138, 54, 126)(35, 107, 51, 123, 71, 143, 62, 134)(37, 109, 61, 133, 72, 144, 49, 121)(45, 117, 65, 137, 60, 132, 68, 140)(48, 120, 69, 141, 56, 128, 64, 136)(145, 146)(147, 153)(148, 156)(149, 159)(150, 161)(151, 164)(152, 167)(154, 171)(155, 165)(157, 163)(158, 178)(160, 181)(162, 185)(166, 192)(168, 195)(169, 191)(170, 186)(172, 184)(173, 199)(174, 189)(175, 188)(176, 203)(177, 183)(179, 202)(180, 198)(182, 204)(187, 209)(190, 213)(193, 212)(194, 208)(196, 214)(197, 215)(200, 210)(201, 216)(205, 207)(206, 211)(217, 219)(218, 222)(220, 229)(221, 232)(223, 237)(224, 240)(225, 233)(226, 244)(227, 246)(228, 247)(230, 251)(231, 241)(234, 258)(235, 260)(236, 261)(238, 265)(239, 255)(242, 266)(243, 270)(245, 272)(248, 276)(249, 267)(250, 277)(252, 256)(253, 263)(254, 278)(257, 280)(259, 282)(262, 286)(264, 287)(268, 288)(269, 284)(271, 281)(273, 285)(274, 279)(275, 283)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1490
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.1489 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-2 * Y2^-1, Y2^-1 * Y1^2 * Y2^-1, Y2^4, (R * Y3)^2, R * Y2 * R * Y1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, (Y3 * Y1^-1)^3, (Y3 * Y2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 9, 81)(3, 75, 12, 84)(5, 77, 18, 90)(6, 78, 19, 91)(7, 79, 20, 92)(8, 80, 22, 94)(10, 82, 28, 100)(11, 83, 29, 101)(13, 85, 34, 106)(14, 86, 36, 108)(15, 87, 38, 110)(16, 88, 24, 96)(17, 89, 31, 103)(21, 93, 46, 118)(23, 95, 49, 121)(25, 97, 52, 124)(26, 98, 42, 114)(27, 99, 47, 119)(30, 102, 54, 126)(32, 104, 48, 120)(33, 105, 43, 115)(35, 107, 58, 130)(37, 109, 59, 131)(39, 111, 60, 132)(40, 112, 44, 116)(41, 113, 45, 117)(50, 122, 64, 136)(51, 123, 65, 137)(53, 125, 66, 138)(55, 127, 67, 139)(56, 128, 68, 140)(57, 129, 69, 141)(61, 133, 70, 142)(62, 134, 71, 143)(63, 135, 72, 144)(145, 146, 151, 149)(147, 155, 150, 157)(148, 158, 179, 160)(152, 165, 154, 167)(153, 168, 194, 170)(156, 174, 199, 176)(159, 166, 161, 183)(162, 184, 200, 180)(163, 171, 197, 169)(164, 186, 205, 188)(172, 189, 207, 187)(173, 192, 181, 191)(175, 193, 177, 201)(178, 196, 206, 198)(182, 195, 185, 190)(202, 212, 214, 208)(203, 211, 215, 210)(204, 213, 216, 209)(217, 219, 223, 222)(218, 224, 221, 226)(220, 231, 251, 233)(225, 241, 266, 243)(227, 239, 229, 237)(228, 247, 271, 249)(230, 245, 232, 253)(234, 248, 272, 246)(235, 257, 269, 254)(236, 259, 277, 261)(238, 263, 255, 264)(240, 262, 242, 267)(244, 270, 279, 268)(250, 260, 278, 258)(252, 273, 256, 265)(274, 282, 286, 283)(275, 281, 287, 285)(276, 280, 288, 284)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1491
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1490 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3^-1)^3, (Y2 * Y1 * Y3)^2, (Y2 * Y1)^3, (Y2 * Y3)^3, Y3^2 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 14, 86, 158, 230, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 22, 94, 166, 238, 8, 80, 152, 224)(3, 75, 147, 219, 10, 82, 154, 226, 29, 101, 173, 245, 11, 83, 155, 227)(6, 78, 150, 222, 18, 90, 162, 234, 43, 115, 187, 259, 19, 91, 163, 235)(9, 81, 153, 225, 25, 97, 169, 241, 53, 125, 197, 269, 26, 98, 170, 242)(12, 84, 156, 228, 23, 95, 167, 239, 50, 122, 194, 266, 32, 104, 176, 248)(13, 85, 157, 229, 30, 102, 174, 246, 57, 129, 201, 273, 33, 105, 177, 249)(15, 87, 159, 231, 36, 108, 180, 252, 46, 118, 190, 262, 20, 92, 164, 236)(16, 88, 160, 232, 38, 110, 182, 254, 41, 113, 185, 257, 28, 100, 172, 244)(17, 89, 161, 233, 39, 111, 183, 255, 63, 135, 207, 279, 40, 112, 184, 256)(21, 93, 165, 237, 44, 116, 188, 260, 67, 139, 211, 283, 47, 119, 191, 263)(24, 96, 168, 240, 52, 124, 196, 268, 27, 99, 171, 243, 42, 114, 186, 258)(31, 103, 175, 247, 55, 127, 199, 271, 70, 142, 214, 286, 58, 130, 202, 274)(34, 106, 178, 250, 59, 131, 203, 275, 66, 138, 210, 282, 54, 126, 198, 270)(35, 107, 179, 251, 51, 123, 195, 267, 71, 143, 215, 287, 62, 134, 206, 278)(37, 109, 181, 253, 61, 133, 205, 277, 72, 144, 216, 288, 49, 121, 193, 265)(45, 117, 189, 261, 65, 137, 209, 281, 60, 132, 204, 276, 68, 140, 212, 284)(48, 120, 192, 264, 69, 141, 213, 285, 56, 128, 200, 272, 64, 136, 208, 280)
	L = (1, 74)(2, 73)(3, 81)(4, 84)(5, 87)(6, 89)(7, 92)(8, 95)(9, 75)(10, 99)(11, 93)(12, 76)(13, 91)(14, 106)(15, 77)(16, 109)(17, 78)(18, 113)(19, 85)(20, 79)(21, 83)(22, 120)(23, 80)(24, 123)(25, 119)(26, 114)(27, 82)(28, 112)(29, 127)(30, 117)(31, 116)(32, 131)(33, 111)(34, 86)(35, 130)(36, 126)(37, 88)(38, 132)(39, 105)(40, 100)(41, 90)(42, 98)(43, 137)(44, 103)(45, 102)(46, 141)(47, 97)(48, 94)(49, 140)(50, 136)(51, 96)(52, 142)(53, 143)(54, 108)(55, 101)(56, 138)(57, 144)(58, 107)(59, 104)(60, 110)(61, 135)(62, 139)(63, 133)(64, 122)(65, 115)(66, 128)(67, 134)(68, 121)(69, 118)(70, 124)(71, 125)(72, 129)(145, 219)(146, 222)(147, 217)(148, 229)(149, 232)(150, 218)(151, 237)(152, 240)(153, 233)(154, 244)(155, 246)(156, 247)(157, 220)(158, 251)(159, 241)(160, 221)(161, 225)(162, 258)(163, 260)(164, 261)(165, 223)(166, 265)(167, 255)(168, 224)(169, 231)(170, 266)(171, 270)(172, 226)(173, 272)(174, 227)(175, 228)(176, 276)(177, 267)(178, 277)(179, 230)(180, 256)(181, 263)(182, 278)(183, 239)(184, 252)(185, 280)(186, 234)(187, 282)(188, 235)(189, 236)(190, 286)(191, 253)(192, 287)(193, 238)(194, 242)(195, 249)(196, 288)(197, 284)(198, 243)(199, 281)(200, 245)(201, 285)(202, 279)(203, 283)(204, 248)(205, 250)(206, 254)(207, 274)(208, 257)(209, 271)(210, 259)(211, 275)(212, 269)(213, 273)(214, 262)(215, 264)(216, 268)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1488
Transitivity :: VT+
Graph::
	v = 18 e = 144 f = 90
	degree seq :: [ 16^18 ]

E19.1491 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-2 * Y2^-1, Y2^-1 * Y1^2 * Y2^-1, Y2^4, (R * Y3)^2, R * Y2 * R * Y1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, (Y3 * Y1^-1)^3, (Y3 * Y2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 9, 81, 153, 225)(3, 75, 147, 219, 12, 84, 156, 228)(5, 77, 149, 221, 18, 90, 162, 234)(6, 78, 150, 222, 19, 91, 163, 235)(7, 79, 151, 223, 20, 92, 164, 236)(8, 80, 152, 224, 22, 94, 166, 238)(10, 82, 154, 226, 28, 100, 172, 244)(11, 83, 155, 227, 29, 101, 173, 245)(13, 85, 157, 229, 34, 106, 178, 250)(14, 86, 158, 230, 36, 108, 180, 252)(15, 87, 159, 231, 38, 110, 182, 254)(16, 88, 160, 232, 24, 96, 168, 240)(17, 89, 161, 233, 31, 103, 175, 247)(21, 93, 165, 237, 46, 118, 190, 262)(23, 95, 167, 239, 49, 121, 193, 265)(25, 97, 169, 241, 52, 124, 196, 268)(26, 98, 170, 242, 42, 114, 186, 258)(27, 99, 171, 243, 47, 119, 191, 263)(30, 102, 174, 246, 54, 126, 198, 270)(32, 104, 176, 248, 48, 120, 192, 264)(33, 105, 177, 249, 43, 115, 187, 259)(35, 107, 179, 251, 58, 130, 202, 274)(37, 109, 181, 253, 59, 131, 203, 275)(39, 111, 183, 255, 60, 132, 204, 276)(40, 112, 184, 256, 44, 116, 188, 260)(41, 113, 185, 257, 45, 117, 189, 261)(50, 122, 194, 266, 64, 136, 208, 280)(51, 123, 195, 267, 65, 137, 209, 281)(53, 125, 197, 269, 66, 138, 210, 282)(55, 127, 199, 271, 67, 139, 211, 283)(56, 128, 200, 272, 68, 140, 212, 284)(57, 129, 201, 273, 69, 141, 213, 285)(61, 133, 205, 277, 70, 142, 214, 286)(62, 134, 206, 278, 71, 143, 215, 287)(63, 135, 207, 279, 72, 144, 216, 288)
	L = (1, 74)(2, 79)(3, 83)(4, 86)(5, 73)(6, 85)(7, 77)(8, 93)(9, 96)(10, 95)(11, 78)(12, 102)(13, 75)(14, 107)(15, 94)(16, 76)(17, 111)(18, 112)(19, 99)(20, 114)(21, 82)(22, 89)(23, 80)(24, 122)(25, 91)(26, 81)(27, 125)(28, 117)(29, 120)(30, 127)(31, 121)(32, 84)(33, 129)(34, 124)(35, 88)(36, 90)(37, 119)(38, 123)(39, 87)(40, 128)(41, 118)(42, 133)(43, 100)(44, 92)(45, 135)(46, 110)(47, 101)(48, 109)(49, 105)(50, 98)(51, 113)(52, 134)(53, 97)(54, 106)(55, 104)(56, 108)(57, 103)(58, 140)(59, 139)(60, 141)(61, 116)(62, 126)(63, 115)(64, 130)(65, 132)(66, 131)(67, 143)(68, 142)(69, 144)(70, 136)(71, 138)(72, 137)(145, 219)(146, 224)(147, 223)(148, 231)(149, 226)(150, 217)(151, 222)(152, 221)(153, 241)(154, 218)(155, 239)(156, 247)(157, 237)(158, 245)(159, 251)(160, 253)(161, 220)(162, 248)(163, 257)(164, 259)(165, 227)(166, 263)(167, 229)(168, 262)(169, 266)(170, 267)(171, 225)(172, 270)(173, 232)(174, 234)(175, 271)(176, 272)(177, 228)(178, 260)(179, 233)(180, 273)(181, 230)(182, 235)(183, 264)(184, 265)(185, 269)(186, 250)(187, 277)(188, 278)(189, 236)(190, 242)(191, 255)(192, 238)(193, 252)(194, 243)(195, 240)(196, 244)(197, 254)(198, 279)(199, 249)(200, 246)(201, 256)(202, 282)(203, 281)(204, 280)(205, 261)(206, 258)(207, 268)(208, 288)(209, 287)(210, 286)(211, 274)(212, 276)(213, 275)(214, 283)(215, 285)(216, 284)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1489
Transitivity :: VT+
Graph:: simple
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.1492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 16, 88)(6, 78, 8, 80)(7, 79, 18, 90)(9, 81, 23, 95)(12, 84, 28, 100)(13, 85, 27, 99)(14, 86, 25, 97)(15, 87, 31, 103)(17, 89, 33, 105)(19, 91, 37, 109)(20, 92, 36, 108)(21, 93, 34, 106)(22, 94, 40, 112)(24, 96, 42, 114)(26, 98, 44, 116)(29, 101, 48, 120)(30, 102, 46, 118)(32, 104, 47, 119)(35, 107, 52, 124)(38, 110, 56, 128)(39, 111, 54, 126)(41, 113, 55, 127)(43, 115, 59, 131)(45, 117, 61, 133)(49, 121, 63, 135)(50, 122, 62, 134)(51, 123, 64, 136)(53, 125, 66, 138)(57, 129, 68, 140)(58, 130, 67, 139)(60, 132, 65, 137)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 163, 235, 153, 225)(148, 220, 158, 230, 173, 245, 159, 231)(150, 222, 157, 229, 174, 246, 161, 233)(152, 224, 165, 237, 182, 254, 166, 238)(154, 226, 164, 236, 183, 255, 168, 240)(155, 227, 167, 239, 185, 257, 170, 242)(160, 232, 176, 248, 179, 251, 162, 234)(169, 241, 186, 258, 202, 274, 187, 259)(171, 243, 184, 256, 201, 273, 189, 261)(172, 244, 188, 260, 204, 276, 191, 263)(175, 247, 193, 265, 197, 269, 180, 252)(177, 249, 194, 266, 195, 267, 178, 250)(181, 253, 196, 268, 209, 281, 199, 271)(190, 262, 205, 277, 214, 286, 206, 278)(192, 264, 203, 275, 213, 285, 207, 279)(198, 270, 210, 282, 216, 288, 211, 283)(200, 272, 208, 280, 215, 287, 212, 284)
	L = (1, 148)(2, 152)(3, 157)(4, 150)(5, 161)(6, 145)(7, 164)(8, 154)(9, 168)(10, 146)(11, 169)(12, 173)(13, 158)(14, 147)(15, 149)(16, 175)(17, 159)(18, 178)(19, 182)(20, 165)(21, 151)(22, 153)(23, 184)(24, 166)(25, 171)(26, 189)(27, 155)(28, 190)(29, 174)(30, 156)(31, 177)(32, 194)(33, 160)(34, 180)(35, 197)(36, 162)(37, 198)(38, 183)(39, 163)(40, 186)(41, 202)(42, 167)(43, 170)(44, 203)(45, 187)(46, 192)(47, 207)(48, 172)(49, 176)(50, 193)(51, 179)(52, 208)(53, 195)(54, 200)(55, 212)(56, 181)(57, 185)(58, 201)(59, 205)(60, 214)(61, 188)(62, 191)(63, 206)(64, 210)(65, 216)(66, 196)(67, 199)(68, 211)(69, 204)(70, 213)(71, 209)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y2^-1 * Y3^-1)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (Y1 * Y2)^3, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 20, 92)(9, 81, 26, 98)(12, 84, 32, 104)(13, 85, 31, 103)(14, 86, 29, 101)(15, 87, 37, 109)(16, 88, 39, 111)(18, 90, 42, 114)(19, 91, 44, 116)(21, 93, 48, 120)(22, 94, 47, 119)(23, 95, 45, 117)(24, 96, 53, 125)(25, 97, 55, 127)(27, 99, 58, 130)(28, 100, 60, 132)(30, 102, 62, 134)(33, 105, 59, 131)(34, 106, 54, 126)(35, 107, 52, 124)(36, 108, 51, 123)(38, 110, 50, 122)(40, 112, 57, 129)(41, 113, 56, 128)(43, 115, 49, 121)(46, 118, 68, 140)(61, 133, 71, 143)(63, 135, 70, 142)(64, 136, 69, 141)(65, 137, 67, 139)(66, 138, 72, 144)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 165, 237, 153, 225)(148, 220, 159, 231, 182, 254, 160, 232)(150, 222, 163, 235, 179, 251, 157, 229)(152, 224, 168, 240, 198, 270, 169, 241)(154, 226, 172, 244, 195, 267, 166, 238)(155, 227, 170, 242, 201, 273, 174, 246)(158, 230, 180, 252, 208, 280, 177, 249)(161, 233, 185, 257, 190, 262, 164, 236)(162, 234, 178, 250, 209, 281, 187, 259)(167, 239, 196, 268, 214, 286, 193, 265)(171, 243, 194, 266, 215, 287, 203, 275)(173, 245, 205, 277, 181, 253, 191, 263)(175, 247, 189, 261, 211, 283, 197, 269)(176, 248, 206, 278, 216, 288, 200, 272)(183, 255, 202, 274, 213, 285, 204, 276)(184, 256, 192, 264, 212, 284, 210, 282)(186, 258, 207, 279, 188, 260, 199, 271)
	L = (1, 148)(2, 152)(3, 157)(4, 150)(5, 162)(6, 145)(7, 166)(8, 154)(9, 171)(10, 146)(11, 173)(12, 177)(13, 158)(14, 147)(15, 149)(16, 184)(17, 181)(18, 159)(19, 160)(20, 189)(21, 193)(22, 167)(23, 151)(24, 153)(25, 200)(26, 197)(27, 168)(28, 169)(29, 175)(30, 207)(31, 155)(32, 198)(33, 178)(34, 156)(35, 210)(36, 179)(37, 186)(38, 187)(39, 188)(40, 163)(41, 199)(42, 161)(43, 192)(44, 201)(45, 191)(46, 213)(47, 164)(48, 182)(49, 194)(50, 165)(51, 216)(52, 195)(53, 202)(54, 203)(55, 204)(56, 172)(57, 183)(58, 170)(59, 176)(60, 185)(61, 174)(62, 215)(63, 205)(64, 212)(65, 208)(66, 180)(67, 190)(68, 209)(69, 211)(70, 206)(71, 214)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 144 f = 54
	degree seq :: [ 4^36, 8^18 ]

E19.1494 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 136>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y2^2, (Y1 * Y2)^2, Y2^-2 * Y1^2, R * Y1 * R * Y2, Y1^-2 * Y2^-2, Y1^4, (R * Y3)^2, (Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y2^-1)^2, (Y3 * Y2^-1 * Y3 * Y1)^2, Y2^-2 * Y3 * Y2^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y3, Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 9, 81)(3, 75, 11, 83)(5, 77, 16, 88)(6, 78, 17, 89)(7, 79, 18, 90)(8, 80, 19, 91)(10, 82, 24, 96)(12, 84, 30, 102)(13, 85, 32, 104)(14, 86, 33, 105)(15, 87, 34, 106)(20, 92, 40, 112)(21, 93, 42, 114)(22, 94, 43, 115)(23, 95, 44, 116)(25, 97, 46, 118)(26, 98, 48, 120)(27, 99, 49, 121)(28, 100, 50, 122)(29, 101, 51, 123)(31, 103, 54, 126)(35, 107, 57, 129)(36, 108, 58, 130)(37, 109, 59, 131)(38, 110, 60, 132)(39, 111, 47, 119)(41, 113, 45, 117)(52, 124, 69, 141)(53, 125, 70, 142)(55, 127, 71, 143)(56, 128, 72, 144)(61, 133, 68, 140)(62, 134, 67, 139)(63, 135, 66, 138)(64, 136, 65, 137)(145, 146, 151, 149)(147, 152, 150, 154)(148, 156, 173, 158)(153, 164, 183, 166)(155, 169, 189, 171)(157, 163, 159, 175)(160, 172, 191, 170)(161, 167, 185, 165)(162, 179, 195, 181)(168, 182, 198, 180)(174, 192, 211, 197)(176, 199, 205, 188)(177, 200, 206, 184)(178, 193, 212, 196)(186, 207, 215, 204)(187, 208, 216, 201)(190, 202, 213, 210)(194, 203, 214, 209)(217, 219, 223, 222)(218, 224, 221, 226)(220, 229, 245, 231)(225, 237, 255, 239)(227, 242, 261, 244)(228, 235, 230, 247)(232, 243, 263, 241)(233, 238, 257, 236)(234, 252, 267, 254)(240, 253, 270, 251)(246, 268, 283, 265)(248, 256, 277, 272)(249, 260, 278, 271)(250, 269, 284, 264)(258, 273, 287, 280)(259, 276, 288, 279)(262, 281, 285, 275)(266, 282, 286, 274)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1498
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1495 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 136>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y2^2, (Y1, Y2^-1), R * Y1 * R * Y2, (R * Y3)^2, Y2^4, Y1^4, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2, (Y3 * Y2^-1 * Y3 * Y1)^2, Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 9, 81)(3, 75, 11, 83)(5, 77, 16, 88)(6, 78, 17, 89)(7, 79, 18, 90)(8, 80, 19, 91)(10, 82, 24, 96)(12, 84, 30, 102)(13, 85, 32, 104)(14, 86, 33, 105)(15, 87, 34, 106)(20, 92, 40, 112)(21, 93, 42, 114)(22, 94, 43, 115)(23, 95, 44, 116)(25, 97, 46, 118)(26, 98, 48, 120)(27, 99, 49, 121)(28, 100, 50, 122)(29, 101, 51, 123)(31, 103, 54, 126)(35, 107, 57, 129)(36, 108, 58, 130)(37, 109, 59, 131)(38, 110, 60, 132)(39, 111, 45, 117)(41, 113, 47, 119)(52, 124, 69, 141)(53, 125, 70, 142)(55, 127, 71, 143)(56, 128, 72, 144)(61, 133, 67, 139)(62, 134, 68, 140)(63, 135, 65, 137)(64, 136, 66, 138)(145, 146, 151, 149)(147, 152, 150, 154)(148, 156, 173, 158)(153, 164, 183, 166)(155, 169, 189, 171)(157, 163, 159, 175)(160, 172, 191, 170)(161, 167, 185, 165)(162, 179, 198, 181)(168, 182, 195, 180)(174, 192, 211, 197)(176, 199, 205, 188)(177, 200, 206, 184)(178, 193, 212, 196)(186, 207, 216, 204)(187, 208, 215, 201)(190, 202, 214, 210)(194, 203, 213, 209)(217, 219, 223, 222)(218, 224, 221, 226)(220, 229, 245, 231)(225, 237, 255, 239)(227, 242, 261, 244)(228, 235, 230, 247)(232, 243, 263, 241)(233, 238, 257, 236)(234, 252, 270, 254)(240, 253, 267, 251)(246, 268, 283, 265)(248, 256, 277, 272)(249, 260, 278, 271)(250, 269, 284, 264)(258, 273, 288, 280)(259, 276, 287, 279)(262, 281, 286, 275)(266, 282, 285, 274)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1497
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1496 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x C2 x ((C3 x C3) : C4) (small group id <144, 191>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^4, Y2^2 * Y1^-2, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2^2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 4, 76)(2, 74, 6, 78)(3, 75, 7, 79)(5, 77, 10, 82)(8, 80, 16, 88)(9, 81, 17, 89)(11, 83, 21, 93)(12, 84, 22, 94)(13, 85, 24, 96)(14, 86, 25, 97)(15, 87, 26, 98)(18, 90, 30, 102)(19, 91, 31, 103)(20, 92, 32, 104)(23, 95, 35, 107)(27, 99, 40, 112)(28, 100, 41, 113)(29, 101, 42, 114)(33, 105, 47, 119)(34, 106, 48, 120)(36, 108, 51, 123)(37, 109, 52, 124)(38, 110, 54, 126)(39, 111, 55, 127)(43, 115, 58, 130)(44, 116, 59, 131)(45, 117, 61, 133)(46, 118, 62, 134)(49, 121, 64, 136)(50, 122, 65, 137)(53, 125, 66, 138)(56, 128, 68, 140)(57, 129, 69, 141)(60, 132, 70, 142)(63, 135, 71, 143)(67, 139, 72, 144)(145, 146, 149, 147)(148, 152, 159, 153)(150, 155, 164, 156)(151, 157, 167, 158)(154, 162, 173, 163)(160, 169, 181, 171)(161, 172, 177, 165)(166, 178, 187, 174)(168, 175, 188, 180)(170, 182, 197, 183)(176, 189, 204, 190)(179, 193, 207, 194)(184, 192, 206, 198)(185, 199, 208, 195)(186, 200, 211, 201)(191, 203, 213, 205)(196, 209, 212, 202)(210, 214, 216, 215)(217, 219, 221, 218)(220, 225, 231, 224)(222, 228, 236, 227)(223, 230, 239, 229)(226, 235, 245, 234)(232, 243, 253, 241)(233, 237, 249, 244)(238, 246, 259, 250)(240, 252, 260, 247)(242, 255, 269, 254)(248, 262, 276, 261)(251, 266, 279, 265)(256, 270, 278, 264)(257, 267, 280, 271)(258, 273, 283, 272)(263, 277, 285, 275)(268, 274, 284, 281)(282, 287, 288, 286)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1499
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1497 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 136>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y2^2, (Y1 * Y2)^2, Y2^-2 * Y1^2, R * Y1 * R * Y2, Y1^-2 * Y2^-2, Y1^4, (R * Y3)^2, (Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y2^-1)^2, (Y3 * Y2^-1 * Y3 * Y1)^2, Y2^-2 * Y3 * Y2^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y3, Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 9, 81, 153, 225)(3, 75, 147, 219, 11, 83, 155, 227)(5, 77, 149, 221, 16, 88, 160, 232)(6, 78, 150, 222, 17, 89, 161, 233)(7, 79, 151, 223, 18, 90, 162, 234)(8, 80, 152, 224, 19, 91, 163, 235)(10, 82, 154, 226, 24, 96, 168, 240)(12, 84, 156, 228, 30, 102, 174, 246)(13, 85, 157, 229, 32, 104, 176, 248)(14, 86, 158, 230, 33, 105, 177, 249)(15, 87, 159, 231, 34, 106, 178, 250)(20, 92, 164, 236, 40, 112, 184, 256)(21, 93, 165, 237, 42, 114, 186, 258)(22, 94, 166, 238, 43, 115, 187, 259)(23, 95, 167, 239, 44, 116, 188, 260)(25, 97, 169, 241, 46, 118, 190, 262)(26, 98, 170, 242, 48, 120, 192, 264)(27, 99, 171, 243, 49, 121, 193, 265)(28, 100, 172, 244, 50, 122, 194, 266)(29, 101, 173, 245, 51, 123, 195, 267)(31, 103, 175, 247, 54, 126, 198, 270)(35, 107, 179, 251, 57, 129, 201, 273)(36, 108, 180, 252, 58, 130, 202, 274)(37, 109, 181, 253, 59, 131, 203, 275)(38, 110, 182, 254, 60, 132, 204, 276)(39, 111, 183, 255, 47, 119, 191, 263)(41, 113, 185, 257, 45, 117, 189, 261)(52, 124, 196, 268, 69, 141, 213, 285)(53, 125, 197, 269, 70, 142, 214, 286)(55, 127, 199, 271, 71, 143, 215, 287)(56, 128, 200, 272, 72, 144, 216, 288)(61, 133, 205, 277, 68, 140, 212, 284)(62, 134, 206, 278, 67, 139, 211, 283)(63, 135, 207, 279, 66, 138, 210, 282)(64, 136, 208, 280, 65, 137, 209, 281)
	L = (1, 74)(2, 79)(3, 80)(4, 84)(5, 73)(6, 82)(7, 77)(8, 78)(9, 92)(10, 75)(11, 97)(12, 101)(13, 91)(14, 76)(15, 103)(16, 100)(17, 95)(18, 107)(19, 87)(20, 111)(21, 89)(22, 81)(23, 113)(24, 110)(25, 117)(26, 88)(27, 83)(28, 119)(29, 86)(30, 120)(31, 85)(32, 127)(33, 128)(34, 121)(35, 123)(36, 96)(37, 90)(38, 126)(39, 94)(40, 105)(41, 93)(42, 135)(43, 136)(44, 104)(45, 99)(46, 130)(47, 98)(48, 139)(49, 140)(50, 131)(51, 109)(52, 106)(53, 102)(54, 108)(55, 133)(56, 134)(57, 115)(58, 141)(59, 142)(60, 114)(61, 116)(62, 112)(63, 143)(64, 144)(65, 122)(66, 118)(67, 125)(68, 124)(69, 138)(70, 137)(71, 132)(72, 129)(145, 219)(146, 224)(147, 223)(148, 229)(149, 226)(150, 217)(151, 222)(152, 221)(153, 237)(154, 218)(155, 242)(156, 235)(157, 245)(158, 247)(159, 220)(160, 243)(161, 238)(162, 252)(163, 230)(164, 233)(165, 255)(166, 257)(167, 225)(168, 253)(169, 232)(170, 261)(171, 263)(172, 227)(173, 231)(174, 268)(175, 228)(176, 256)(177, 260)(178, 269)(179, 240)(180, 267)(181, 270)(182, 234)(183, 239)(184, 277)(185, 236)(186, 273)(187, 276)(188, 278)(189, 244)(190, 281)(191, 241)(192, 250)(193, 246)(194, 282)(195, 254)(196, 283)(197, 284)(198, 251)(199, 249)(200, 248)(201, 287)(202, 266)(203, 262)(204, 288)(205, 272)(206, 271)(207, 259)(208, 258)(209, 285)(210, 286)(211, 265)(212, 264)(213, 275)(214, 274)(215, 280)(216, 279)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1495
Transitivity :: VT+
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.1498 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 136>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y2^2, (Y1, Y2^-1), R * Y1 * R * Y2, (R * Y3)^2, Y2^4, Y1^4, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2, (Y3 * Y2^-1 * Y3 * Y1)^2, Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 9, 81, 153, 225)(3, 75, 147, 219, 11, 83, 155, 227)(5, 77, 149, 221, 16, 88, 160, 232)(6, 78, 150, 222, 17, 89, 161, 233)(7, 79, 151, 223, 18, 90, 162, 234)(8, 80, 152, 224, 19, 91, 163, 235)(10, 82, 154, 226, 24, 96, 168, 240)(12, 84, 156, 228, 30, 102, 174, 246)(13, 85, 157, 229, 32, 104, 176, 248)(14, 86, 158, 230, 33, 105, 177, 249)(15, 87, 159, 231, 34, 106, 178, 250)(20, 92, 164, 236, 40, 112, 184, 256)(21, 93, 165, 237, 42, 114, 186, 258)(22, 94, 166, 238, 43, 115, 187, 259)(23, 95, 167, 239, 44, 116, 188, 260)(25, 97, 169, 241, 46, 118, 190, 262)(26, 98, 170, 242, 48, 120, 192, 264)(27, 99, 171, 243, 49, 121, 193, 265)(28, 100, 172, 244, 50, 122, 194, 266)(29, 101, 173, 245, 51, 123, 195, 267)(31, 103, 175, 247, 54, 126, 198, 270)(35, 107, 179, 251, 57, 129, 201, 273)(36, 108, 180, 252, 58, 130, 202, 274)(37, 109, 181, 253, 59, 131, 203, 275)(38, 110, 182, 254, 60, 132, 204, 276)(39, 111, 183, 255, 45, 117, 189, 261)(41, 113, 185, 257, 47, 119, 191, 263)(52, 124, 196, 268, 69, 141, 213, 285)(53, 125, 197, 269, 70, 142, 214, 286)(55, 127, 199, 271, 71, 143, 215, 287)(56, 128, 200, 272, 72, 144, 216, 288)(61, 133, 205, 277, 67, 139, 211, 283)(62, 134, 206, 278, 68, 140, 212, 284)(63, 135, 207, 279, 65, 137, 209, 281)(64, 136, 208, 280, 66, 138, 210, 282)
	L = (1, 74)(2, 79)(3, 80)(4, 84)(5, 73)(6, 82)(7, 77)(8, 78)(9, 92)(10, 75)(11, 97)(12, 101)(13, 91)(14, 76)(15, 103)(16, 100)(17, 95)(18, 107)(19, 87)(20, 111)(21, 89)(22, 81)(23, 113)(24, 110)(25, 117)(26, 88)(27, 83)(28, 119)(29, 86)(30, 120)(31, 85)(32, 127)(33, 128)(34, 121)(35, 126)(36, 96)(37, 90)(38, 123)(39, 94)(40, 105)(41, 93)(42, 135)(43, 136)(44, 104)(45, 99)(46, 130)(47, 98)(48, 139)(49, 140)(50, 131)(51, 108)(52, 106)(53, 102)(54, 109)(55, 133)(56, 134)(57, 115)(58, 142)(59, 141)(60, 114)(61, 116)(62, 112)(63, 144)(64, 143)(65, 122)(66, 118)(67, 125)(68, 124)(69, 137)(70, 138)(71, 129)(72, 132)(145, 219)(146, 224)(147, 223)(148, 229)(149, 226)(150, 217)(151, 222)(152, 221)(153, 237)(154, 218)(155, 242)(156, 235)(157, 245)(158, 247)(159, 220)(160, 243)(161, 238)(162, 252)(163, 230)(164, 233)(165, 255)(166, 257)(167, 225)(168, 253)(169, 232)(170, 261)(171, 263)(172, 227)(173, 231)(174, 268)(175, 228)(176, 256)(177, 260)(178, 269)(179, 240)(180, 270)(181, 267)(182, 234)(183, 239)(184, 277)(185, 236)(186, 273)(187, 276)(188, 278)(189, 244)(190, 281)(191, 241)(192, 250)(193, 246)(194, 282)(195, 251)(196, 283)(197, 284)(198, 254)(199, 249)(200, 248)(201, 288)(202, 266)(203, 262)(204, 287)(205, 272)(206, 271)(207, 259)(208, 258)(209, 286)(210, 285)(211, 265)(212, 264)(213, 274)(214, 275)(215, 279)(216, 280)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1494
Transitivity :: VT+
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.1499 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
Aut   = C2 x C2 x ((C3 x C3) : C4) (small group id <144, 191>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^4, Y2^2 * Y1^-2, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2^2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 6, 78, 150, 222)(3, 75, 147, 219, 7, 79, 151, 223)(5, 77, 149, 221, 10, 82, 154, 226)(8, 80, 152, 224, 16, 88, 160, 232)(9, 81, 153, 225, 17, 89, 161, 233)(11, 83, 155, 227, 21, 93, 165, 237)(12, 84, 156, 228, 22, 94, 166, 238)(13, 85, 157, 229, 24, 96, 168, 240)(14, 86, 158, 230, 25, 97, 169, 241)(15, 87, 159, 231, 26, 98, 170, 242)(18, 90, 162, 234, 30, 102, 174, 246)(19, 91, 163, 235, 31, 103, 175, 247)(20, 92, 164, 236, 32, 104, 176, 248)(23, 95, 167, 239, 35, 107, 179, 251)(27, 99, 171, 243, 40, 112, 184, 256)(28, 100, 172, 244, 41, 113, 185, 257)(29, 101, 173, 245, 42, 114, 186, 258)(33, 105, 177, 249, 47, 119, 191, 263)(34, 106, 178, 250, 48, 120, 192, 264)(36, 108, 180, 252, 51, 123, 195, 267)(37, 109, 181, 253, 52, 124, 196, 268)(38, 110, 182, 254, 54, 126, 198, 270)(39, 111, 183, 255, 55, 127, 199, 271)(43, 115, 187, 259, 58, 130, 202, 274)(44, 116, 188, 260, 59, 131, 203, 275)(45, 117, 189, 261, 61, 133, 205, 277)(46, 118, 190, 262, 62, 134, 206, 278)(49, 121, 193, 265, 64, 136, 208, 280)(50, 122, 194, 266, 65, 137, 209, 281)(53, 125, 197, 269, 66, 138, 210, 282)(56, 128, 200, 272, 68, 140, 212, 284)(57, 129, 201, 273, 69, 141, 213, 285)(60, 132, 204, 276, 70, 142, 214, 286)(63, 135, 207, 279, 71, 143, 215, 287)(67, 139, 211, 283, 72, 144, 216, 288)
	L = (1, 74)(2, 77)(3, 73)(4, 80)(5, 75)(6, 83)(7, 85)(8, 87)(9, 76)(10, 90)(11, 92)(12, 78)(13, 95)(14, 79)(15, 81)(16, 97)(17, 100)(18, 101)(19, 82)(20, 84)(21, 89)(22, 106)(23, 86)(24, 103)(25, 109)(26, 110)(27, 88)(28, 105)(29, 91)(30, 94)(31, 116)(32, 117)(33, 93)(34, 115)(35, 121)(36, 96)(37, 99)(38, 125)(39, 98)(40, 120)(41, 127)(42, 128)(43, 102)(44, 108)(45, 132)(46, 104)(47, 131)(48, 134)(49, 135)(50, 107)(51, 113)(52, 137)(53, 111)(54, 112)(55, 136)(56, 139)(57, 114)(58, 124)(59, 141)(60, 118)(61, 119)(62, 126)(63, 122)(64, 123)(65, 140)(66, 142)(67, 129)(68, 130)(69, 133)(70, 144)(71, 138)(72, 143)(145, 219)(146, 217)(147, 221)(148, 225)(149, 218)(150, 228)(151, 230)(152, 220)(153, 231)(154, 235)(155, 222)(156, 236)(157, 223)(158, 239)(159, 224)(160, 243)(161, 237)(162, 226)(163, 245)(164, 227)(165, 249)(166, 246)(167, 229)(168, 252)(169, 232)(170, 255)(171, 253)(172, 233)(173, 234)(174, 259)(175, 240)(176, 262)(177, 244)(178, 238)(179, 266)(180, 260)(181, 241)(182, 242)(183, 269)(184, 270)(185, 267)(186, 273)(187, 250)(188, 247)(189, 248)(190, 276)(191, 277)(192, 256)(193, 251)(194, 279)(195, 280)(196, 274)(197, 254)(198, 278)(199, 257)(200, 258)(201, 283)(202, 284)(203, 263)(204, 261)(205, 285)(206, 264)(207, 265)(208, 271)(209, 268)(210, 287)(211, 272)(212, 281)(213, 275)(214, 282)(215, 288)(216, 286)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1496
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.1500 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1)^2, (Y3^-1 * R * Y2)^2, (Y3 * Y2)^3, Y3^-2 * Y2 * Y3^2 * Y2, Y3^6, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3, (Y2 * Y3^-1 * Y1 * Y3)^2, (Y2 * Y1 * Y3)^3, (Y2 * Y1 * Y3^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 6, 78)(4, 76, 11, 83)(5, 77, 14, 86)(7, 79, 19, 91)(8, 80, 22, 94)(9, 81, 25, 97)(10, 82, 28, 100)(12, 84, 31, 103)(13, 85, 35, 107)(15, 87, 37, 109)(16, 88, 40, 112)(17, 89, 41, 113)(18, 90, 44, 116)(20, 92, 47, 119)(21, 93, 32, 104)(23, 95, 50, 122)(24, 96, 39, 111)(26, 98, 51, 123)(27, 99, 55, 127)(29, 101, 57, 129)(30, 102, 60, 132)(33, 105, 38, 110)(34, 106, 48, 120)(36, 108, 49, 121)(42, 114, 66, 138)(43, 115, 52, 124)(45, 117, 61, 133)(46, 118, 59, 131)(53, 125, 58, 130)(54, 126, 67, 139)(56, 128, 68, 140)(62, 134, 65, 137)(63, 135, 64, 136)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 156, 228)(149, 221, 159, 231)(151, 223, 164, 236)(152, 224, 167, 239)(153, 225, 170, 242)(154, 226, 173, 245)(155, 227, 175, 247)(157, 229, 171, 243)(158, 230, 181, 253)(160, 232, 174, 246)(161, 233, 186, 258)(162, 234, 189, 261)(163, 235, 191, 263)(165, 237, 187, 259)(166, 238, 194, 266)(168, 240, 190, 262)(169, 241, 195, 267)(172, 244, 201, 273)(176, 248, 196, 268)(177, 249, 197, 269)(178, 250, 200, 272)(179, 251, 199, 271)(180, 252, 198, 270)(182, 254, 202, 274)(183, 255, 203, 275)(184, 256, 204, 276)(185, 257, 210, 282)(188, 260, 205, 277)(192, 264, 212, 284)(193, 265, 211, 283)(206, 278, 214, 286)(207, 279, 213, 285)(208, 280, 216, 288)(209, 281, 215, 287)
	L = (1, 148)(2, 151)(3, 153)(4, 157)(5, 145)(6, 161)(7, 165)(8, 146)(9, 171)(10, 147)(11, 176)(12, 173)(13, 180)(14, 182)(15, 178)(16, 149)(17, 187)(18, 150)(19, 179)(20, 189)(21, 193)(22, 177)(23, 192)(24, 152)(25, 196)(26, 159)(27, 200)(28, 202)(29, 198)(30, 154)(31, 205)(32, 207)(33, 155)(34, 156)(35, 208)(36, 160)(37, 209)(38, 163)(39, 158)(40, 166)(41, 199)(42, 167)(43, 212)(44, 197)(45, 211)(46, 162)(47, 201)(48, 164)(49, 168)(50, 206)(51, 194)(52, 214)(53, 169)(54, 170)(55, 215)(56, 174)(57, 216)(58, 185)(59, 172)(60, 188)(61, 213)(62, 175)(63, 184)(64, 183)(65, 191)(66, 181)(67, 186)(68, 190)(69, 195)(70, 204)(71, 203)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1526
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1501 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, Y2 * R * Y3^-1 * Y2 * Y3 * Y2 * R, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 12, 84)(5, 77, 14, 86)(6, 78, 16, 88)(7, 79, 19, 91)(8, 80, 21, 93)(10, 82, 25, 97)(11, 83, 27, 99)(13, 85, 32, 104)(15, 87, 35, 107)(17, 89, 37, 109)(18, 90, 39, 111)(20, 92, 43, 115)(22, 94, 46, 118)(23, 95, 36, 108)(24, 96, 47, 119)(26, 98, 29, 101)(28, 100, 52, 124)(30, 102, 41, 113)(31, 103, 44, 116)(33, 105, 42, 114)(34, 106, 45, 117)(38, 110, 40, 112)(48, 120, 66, 138)(49, 121, 71, 143)(50, 122, 67, 139)(51, 123, 69, 141)(53, 125, 64, 136)(54, 126, 68, 140)(55, 127, 60, 132)(56, 128, 62, 134)(57, 129, 65, 137)(58, 130, 63, 135)(59, 131, 70, 142)(61, 133, 72, 144)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 157, 229)(149, 221, 159, 231)(151, 223, 164, 236)(152, 224, 166, 238)(153, 225, 167, 239)(154, 226, 170, 242)(155, 227, 172, 244)(156, 228, 173, 245)(158, 230, 171, 243)(160, 232, 180, 252)(161, 233, 182, 254)(162, 234, 168, 240)(163, 235, 184, 256)(165, 237, 183, 255)(169, 241, 176, 248)(174, 246, 199, 271)(175, 247, 193, 265)(177, 249, 201, 273)(178, 250, 202, 274)(179, 251, 196, 268)(181, 253, 187, 259)(185, 257, 210, 282)(186, 258, 205, 277)(188, 260, 212, 284)(189, 261, 213, 285)(190, 262, 191, 263)(192, 264, 197, 269)(194, 266, 216, 288)(195, 267, 203, 275)(198, 270, 200, 272)(204, 276, 208, 280)(206, 278, 215, 287)(207, 279, 214, 286)(209, 281, 211, 283)
	L = (1, 148)(2, 151)(3, 154)(4, 149)(5, 145)(6, 161)(7, 152)(8, 146)(9, 164)(10, 155)(11, 147)(12, 174)(13, 172)(14, 177)(15, 180)(16, 157)(17, 162)(18, 150)(19, 185)(20, 168)(21, 188)(22, 167)(23, 182)(24, 153)(25, 192)(26, 159)(27, 194)(28, 160)(29, 197)(30, 175)(31, 156)(32, 199)(33, 178)(34, 158)(35, 201)(36, 170)(37, 204)(38, 166)(39, 206)(40, 208)(41, 186)(42, 163)(43, 210)(44, 189)(45, 165)(46, 212)(47, 215)(48, 193)(49, 169)(50, 195)(51, 171)(52, 216)(53, 198)(54, 173)(55, 200)(56, 176)(57, 203)(58, 196)(59, 179)(60, 205)(61, 181)(62, 207)(63, 183)(64, 209)(65, 184)(66, 211)(67, 187)(68, 214)(69, 191)(70, 190)(71, 213)(72, 202)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1525
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1502 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1)^2, (Y3^-1 * R * Y2)^2, (Y2 * Y3^-1)^3, (Y1 * Y3^-1 * Y2 * Y3)^2, Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1, Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 6, 78)(4, 76, 11, 83)(5, 77, 13, 85)(7, 79, 17, 89)(8, 80, 19, 91)(9, 81, 21, 93)(10, 82, 23, 95)(12, 84, 25, 97)(14, 86, 29, 101)(15, 87, 33, 105)(16, 88, 35, 107)(18, 90, 37, 109)(20, 92, 41, 113)(22, 94, 45, 117)(24, 96, 48, 120)(26, 98, 53, 125)(27, 99, 55, 127)(28, 100, 40, 112)(30, 102, 58, 130)(31, 103, 59, 131)(32, 104, 44, 116)(34, 106, 61, 133)(36, 108, 63, 135)(38, 110, 46, 118)(39, 111, 56, 128)(42, 114, 70, 142)(43, 115, 60, 132)(47, 119, 71, 143)(49, 121, 67, 139)(50, 122, 69, 141)(51, 123, 68, 140)(52, 124, 64, 136)(54, 126, 66, 138)(57, 129, 65, 137)(62, 134, 72, 144)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 156, 228)(149, 221, 158, 230)(151, 223, 162, 234)(152, 224, 164, 236)(153, 225, 166, 238)(154, 226, 168, 240)(155, 227, 169, 241)(157, 229, 173, 245)(159, 231, 178, 250)(160, 232, 180, 252)(161, 233, 181, 253)(163, 235, 185, 257)(165, 237, 189, 261)(167, 239, 192, 264)(170, 242, 198, 270)(171, 243, 191, 263)(172, 244, 176, 248)(174, 246, 193, 265)(175, 247, 204, 276)(177, 249, 205, 277)(179, 251, 207, 279)(182, 254, 212, 284)(183, 255, 206, 278)(184, 256, 188, 260)(186, 258, 208, 280)(187, 259, 203, 275)(190, 262, 195, 267)(194, 266, 201, 273)(196, 268, 214, 286)(197, 269, 210, 282)(199, 271, 215, 287)(200, 272, 216, 288)(202, 274, 211, 283)(209, 281, 213, 285)
	L = (1, 148)(2, 151)(3, 153)(4, 149)(5, 145)(6, 159)(7, 152)(8, 146)(9, 154)(10, 147)(11, 170)(12, 168)(13, 174)(14, 176)(15, 160)(16, 150)(17, 182)(18, 180)(19, 186)(20, 188)(21, 190)(22, 158)(23, 193)(24, 172)(25, 195)(26, 171)(27, 155)(28, 156)(29, 200)(30, 175)(31, 157)(32, 166)(33, 197)(34, 164)(35, 208)(36, 184)(37, 210)(38, 183)(39, 161)(40, 162)(41, 199)(42, 187)(43, 163)(44, 178)(45, 198)(46, 191)(47, 165)(48, 216)(49, 194)(50, 167)(51, 196)(52, 169)(53, 206)(54, 214)(55, 213)(56, 201)(57, 173)(58, 205)(59, 207)(60, 192)(61, 212)(62, 177)(63, 215)(64, 209)(65, 179)(66, 211)(67, 181)(68, 202)(69, 185)(70, 189)(71, 203)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1527
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1503 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, (Y3 * Y2)^3, Y3^6, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 8, 80)(6, 78, 16, 88)(10, 82, 23, 95)(11, 83, 24, 96)(12, 84, 29, 101)(13, 85, 20, 92)(14, 86, 32, 104)(15, 87, 22, 94)(17, 89, 33, 105)(18, 90, 34, 106)(19, 91, 39, 111)(21, 93, 42, 114)(25, 97, 47, 119)(26, 98, 44, 116)(27, 99, 50, 122)(28, 100, 46, 118)(30, 102, 51, 123)(31, 103, 41, 113)(35, 107, 56, 128)(36, 108, 53, 125)(37, 109, 59, 131)(38, 110, 55, 127)(40, 112, 60, 132)(43, 115, 61, 133)(45, 117, 64, 136)(48, 120, 65, 137)(49, 121, 63, 135)(52, 124, 67, 139)(54, 126, 70, 142)(57, 129, 71, 143)(58, 130, 69, 141)(62, 134, 72, 144)(66, 138, 68, 140)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 156, 228)(149, 221, 158, 230)(151, 223, 163, 235)(152, 224, 165, 237)(153, 225, 160, 232)(154, 226, 169, 241)(155, 227, 171, 243)(157, 229, 170, 242)(159, 231, 172, 244)(161, 233, 179, 251)(162, 234, 181, 253)(164, 236, 180, 252)(166, 238, 182, 254)(167, 239, 187, 259)(168, 240, 189, 261)(173, 245, 183, 255)(174, 246, 193, 265)(175, 247, 192, 264)(176, 248, 186, 258)(177, 249, 196, 268)(178, 250, 198, 270)(184, 256, 202, 274)(185, 257, 201, 273)(188, 260, 197, 269)(190, 262, 199, 271)(191, 263, 205, 277)(194, 266, 208, 280)(195, 267, 210, 282)(200, 272, 211, 283)(203, 275, 214, 286)(204, 276, 216, 288)(206, 278, 213, 285)(207, 279, 212, 284)(209, 281, 215, 287)
	L = (1, 148)(2, 151)(3, 154)(4, 157)(5, 145)(6, 161)(7, 164)(8, 146)(9, 167)(10, 170)(11, 147)(12, 171)(13, 175)(14, 174)(15, 149)(16, 177)(17, 180)(18, 150)(19, 181)(20, 185)(21, 184)(22, 152)(23, 188)(24, 153)(25, 158)(26, 193)(27, 192)(28, 155)(29, 194)(30, 156)(31, 159)(32, 195)(33, 197)(34, 160)(35, 165)(36, 202)(37, 201)(38, 162)(39, 203)(40, 163)(41, 166)(42, 204)(43, 198)(44, 207)(45, 206)(46, 168)(47, 176)(48, 169)(49, 172)(50, 209)(51, 173)(52, 189)(53, 213)(54, 212)(55, 178)(56, 186)(57, 179)(58, 182)(59, 215)(60, 183)(61, 214)(62, 187)(63, 190)(64, 216)(65, 191)(66, 211)(67, 208)(68, 196)(69, 199)(70, 210)(71, 200)(72, 205)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1524
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1504 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2)^3, (Y2 * Y1)^3, (Y2 * Y3 * Y1 * Y3 * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y2 * Y1 * Y3)^4, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 11, 83)(6, 78, 13, 85)(8, 80, 16, 88)(10, 82, 20, 92)(12, 84, 22, 94)(14, 86, 26, 98)(15, 87, 27, 99)(17, 89, 31, 103)(18, 90, 32, 104)(19, 91, 34, 106)(21, 93, 37, 109)(23, 95, 41, 113)(24, 96, 42, 114)(25, 97, 44, 116)(28, 100, 49, 121)(29, 101, 50, 122)(30, 102, 45, 117)(33, 105, 46, 118)(35, 107, 40, 112)(36, 108, 43, 115)(38, 110, 60, 132)(39, 111, 61, 133)(47, 119, 65, 137)(48, 120, 63, 135)(51, 123, 68, 140)(52, 124, 59, 131)(53, 125, 69, 141)(54, 126, 58, 130)(55, 127, 70, 142)(56, 128, 67, 139)(57, 129, 62, 134)(64, 136, 71, 143)(66, 138, 72, 144)(145, 217, 147, 219)(146, 218, 149, 221)(148, 220, 154, 226)(150, 222, 158, 230)(151, 223, 155, 227)(152, 224, 161, 233)(153, 225, 162, 234)(156, 228, 167, 239)(157, 229, 168, 240)(159, 231, 172, 244)(160, 232, 173, 245)(163, 235, 179, 251)(164, 236, 176, 248)(165, 237, 182, 254)(166, 238, 183, 255)(169, 241, 189, 261)(170, 242, 186, 258)(171, 243, 191, 263)(174, 246, 196, 268)(175, 247, 194, 266)(177, 249, 199, 271)(178, 250, 192, 264)(180, 252, 201, 273)(181, 253, 202, 274)(184, 256, 207, 279)(185, 257, 205, 277)(187, 259, 210, 282)(188, 260, 203, 275)(190, 262, 212, 284)(193, 265, 209, 281)(195, 267, 214, 286)(197, 269, 208, 280)(198, 270, 204, 276)(200, 272, 213, 285)(206, 278, 216, 288)(211, 283, 215, 287)
	L = (1, 148)(2, 150)(3, 152)(4, 145)(5, 156)(6, 146)(7, 159)(8, 147)(9, 163)(10, 161)(11, 165)(12, 149)(13, 169)(14, 167)(15, 151)(16, 174)(17, 154)(18, 177)(19, 153)(20, 180)(21, 155)(22, 184)(23, 158)(24, 187)(25, 157)(26, 190)(27, 192)(28, 182)(29, 195)(30, 160)(31, 197)(32, 198)(33, 162)(34, 200)(35, 199)(36, 164)(37, 203)(38, 172)(39, 206)(40, 166)(41, 208)(42, 209)(43, 168)(44, 211)(45, 210)(46, 170)(47, 213)(48, 171)(49, 212)(50, 205)(51, 173)(52, 214)(53, 175)(54, 176)(55, 179)(56, 178)(57, 204)(58, 215)(59, 181)(60, 201)(61, 194)(62, 183)(63, 216)(64, 185)(65, 186)(66, 189)(67, 188)(68, 193)(69, 191)(70, 196)(71, 202)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1523
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1505 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y1 * Y2)^3, (Y3 * Y2 * Y1 * Y2^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * R * Y2^-1 * Y1 * Y2 * R * Y2 * Y1, (Y2 * Y3 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 13, 85)(6, 78, 15, 87)(8, 80, 19, 91)(10, 82, 21, 93)(11, 83, 25, 97)(12, 84, 27, 99)(14, 86, 30, 102)(16, 88, 33, 105)(17, 89, 36, 108)(18, 90, 38, 110)(20, 92, 40, 112)(22, 94, 29, 101)(23, 95, 46, 118)(24, 96, 35, 107)(26, 98, 49, 121)(28, 100, 52, 124)(31, 103, 41, 113)(32, 104, 56, 128)(34, 106, 43, 115)(37, 109, 60, 132)(39, 111, 62, 134)(42, 114, 55, 127)(44, 116, 57, 129)(45, 117, 51, 123)(47, 119, 67, 139)(48, 120, 59, 131)(50, 122, 61, 133)(53, 125, 71, 143)(54, 126, 64, 136)(58, 130, 65, 137)(63, 135, 70, 142)(66, 138, 69, 141)(68, 140, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 150, 222, 152, 224)(148, 220, 155, 227, 156, 228)(151, 223, 161, 233, 162, 234)(153, 225, 163, 235, 166, 238)(154, 226, 167, 239, 168, 240)(157, 229, 173, 245, 159, 231)(158, 230, 175, 247, 176, 248)(160, 232, 178, 250, 179, 251)(164, 236, 185, 257, 186, 258)(165, 237, 187, 259, 188, 260)(169, 241, 182, 254, 189, 261)(170, 242, 191, 263, 194, 266)(171, 243, 195, 267, 180, 252)(172, 244, 192, 264, 197, 269)(174, 246, 198, 270, 199, 271)(177, 249, 190, 262, 201, 273)(181, 253, 202, 274, 205, 277)(183, 255, 203, 275, 207, 279)(184, 256, 208, 280, 200, 272)(193, 265, 209, 281, 212, 284)(196, 268, 213, 285, 214, 286)(204, 276, 211, 283, 216, 288)(206, 278, 210, 282, 215, 287)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 158)(6, 160)(7, 146)(8, 164)(9, 165)(10, 147)(11, 170)(12, 172)(13, 174)(14, 149)(15, 177)(16, 150)(17, 181)(18, 183)(19, 184)(20, 152)(21, 153)(22, 189)(23, 191)(24, 192)(25, 193)(26, 155)(27, 196)(28, 156)(29, 195)(30, 157)(31, 194)(32, 197)(33, 159)(34, 202)(35, 203)(36, 204)(37, 161)(38, 206)(39, 162)(40, 163)(41, 205)(42, 207)(43, 209)(44, 210)(45, 166)(46, 211)(47, 167)(48, 168)(49, 169)(50, 175)(51, 173)(52, 171)(53, 176)(54, 216)(55, 214)(56, 215)(57, 213)(58, 178)(59, 179)(60, 180)(61, 185)(62, 182)(63, 186)(64, 212)(65, 187)(66, 188)(67, 190)(68, 208)(69, 201)(70, 199)(71, 200)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1522
Graph:: simple bipartite
	v = 60 e = 144 f = 48
	degree seq :: [ 4^36, 6^24 ]

E19.1506 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y2^-1 * Y1 * Y2^-1 * R)^2, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3, (Y3 * Y1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 13, 85)(6, 78, 15, 87)(8, 80, 19, 91)(10, 82, 22, 94)(11, 83, 26, 98)(12, 84, 28, 100)(14, 86, 31, 103)(16, 88, 36, 108)(17, 89, 40, 112)(18, 90, 42, 114)(20, 92, 45, 117)(21, 93, 38, 110)(23, 95, 52, 124)(24, 96, 35, 107)(25, 97, 47, 119)(27, 99, 55, 127)(29, 101, 58, 130)(30, 102, 56, 128)(32, 104, 48, 120)(33, 105, 39, 111)(34, 106, 46, 118)(37, 109, 65, 137)(41, 113, 62, 134)(43, 115, 50, 122)(44, 116, 68, 140)(49, 121, 66, 138)(51, 123, 64, 136)(53, 125, 63, 135)(54, 126, 69, 141)(57, 129, 67, 139)(59, 131, 71, 143)(60, 132, 70, 142)(61, 133, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 150, 222, 152, 224)(148, 220, 155, 227, 156, 228)(151, 223, 161, 233, 162, 234)(153, 225, 165, 237, 167, 239)(154, 226, 168, 240, 169, 241)(157, 229, 174, 246, 176, 248)(158, 230, 177, 249, 178, 250)(159, 231, 179, 251, 181, 253)(160, 232, 182, 254, 183, 255)(163, 235, 188, 260, 190, 262)(164, 236, 191, 263, 192, 264)(166, 238, 194, 266, 195, 267)(170, 242, 193, 265, 200, 272)(171, 243, 197, 269, 201, 273)(172, 244, 196, 268, 203, 275)(173, 245, 198, 270, 204, 276)(175, 247, 205, 277, 206, 278)(180, 252, 202, 274, 208, 280)(184, 256, 207, 279, 212, 284)(185, 257, 210, 282, 213, 285)(186, 258, 209, 281, 214, 286)(187, 259, 211, 283, 215, 287)(189, 261, 216, 288, 199, 271)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 158)(6, 160)(7, 146)(8, 164)(9, 166)(10, 147)(11, 171)(12, 173)(13, 175)(14, 149)(15, 180)(16, 150)(17, 185)(18, 187)(19, 189)(20, 152)(21, 193)(22, 153)(23, 188)(24, 197)(25, 198)(26, 199)(27, 155)(28, 202)(29, 156)(30, 181)(31, 157)(32, 203)(33, 201)(34, 204)(35, 207)(36, 159)(37, 174)(38, 210)(39, 211)(40, 206)(41, 161)(42, 194)(43, 162)(44, 167)(45, 163)(46, 214)(47, 213)(48, 215)(49, 165)(50, 186)(51, 216)(52, 212)(53, 168)(54, 169)(55, 170)(56, 209)(57, 177)(58, 172)(59, 176)(60, 178)(61, 208)(62, 184)(63, 179)(64, 205)(65, 200)(66, 182)(67, 183)(68, 196)(69, 191)(70, 190)(71, 192)(72, 195)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1515
Graph:: simple bipartite
	v = 60 e = 144 f = 48
	degree seq :: [ 4^36, 6^24 ]

E19.1507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y1 * Y2)^3, (Y1 * Y2^-1 * R * Y2)^2, (Y2^-1 * R * Y2 * Y1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 13, 85)(6, 78, 15, 87)(8, 80, 19, 91)(10, 82, 21, 93)(11, 83, 25, 97)(12, 84, 27, 99)(14, 86, 30, 102)(16, 88, 33, 105)(17, 89, 36, 108)(18, 90, 38, 110)(20, 92, 40, 112)(22, 94, 29, 101)(23, 95, 34, 106)(24, 96, 47, 119)(26, 98, 49, 121)(28, 100, 52, 124)(31, 103, 56, 128)(32, 104, 42, 114)(35, 107, 44, 116)(37, 109, 60, 132)(39, 111, 62, 134)(41, 113, 54, 126)(43, 115, 57, 129)(45, 117, 50, 122)(46, 118, 58, 130)(48, 120, 67, 139)(51, 123, 70, 142)(53, 125, 63, 135)(55, 127, 64, 136)(59, 131, 66, 138)(61, 133, 69, 141)(65, 137, 68, 140)(71, 143, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 150, 222, 152, 224)(148, 220, 155, 227, 156, 228)(151, 223, 161, 233, 162, 234)(153, 225, 163, 235, 166, 238)(154, 226, 167, 239, 168, 240)(157, 229, 173, 245, 159, 231)(158, 230, 175, 247, 176, 248)(160, 232, 178, 250, 179, 251)(164, 236, 185, 257, 186, 258)(165, 237, 187, 259, 188, 260)(169, 241, 182, 254, 194, 266)(170, 242, 190, 262, 195, 267)(171, 243, 189, 261, 180, 252)(172, 244, 192, 264, 197, 269)(174, 246, 198, 270, 199, 271)(177, 249, 201, 273, 191, 263)(181, 253, 202, 274, 205, 277)(183, 255, 203, 275, 207, 279)(184, 256, 200, 272, 208, 280)(193, 265, 212, 284, 213, 285)(196, 268, 210, 282, 215, 287)(204, 276, 209, 281, 214, 286)(206, 278, 211, 283, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 158)(6, 160)(7, 146)(8, 164)(9, 165)(10, 147)(11, 170)(12, 172)(13, 174)(14, 149)(15, 177)(16, 150)(17, 181)(18, 183)(19, 184)(20, 152)(21, 153)(22, 189)(23, 190)(24, 192)(25, 193)(26, 155)(27, 196)(28, 156)(29, 194)(30, 157)(31, 195)(32, 197)(33, 159)(34, 202)(35, 203)(36, 204)(37, 161)(38, 206)(39, 162)(40, 163)(41, 205)(42, 207)(43, 209)(44, 210)(45, 166)(46, 167)(47, 211)(48, 168)(49, 169)(50, 173)(51, 175)(52, 171)(53, 176)(54, 213)(55, 216)(56, 214)(57, 212)(58, 178)(59, 179)(60, 180)(61, 185)(62, 182)(63, 186)(64, 215)(65, 187)(66, 188)(67, 191)(68, 201)(69, 198)(70, 200)(71, 208)(72, 199)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1518
Graph:: simple bipartite
	v = 60 e = 144 f = 48
	degree seq :: [ 4^36, 6^24 ]

E19.1508 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1, (Y2^-1 * R * Y2 * Y1)^2, (Y2^-1 * Y1 * Y2 * R)^2, (Y1 * Y2 * Y3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 13, 85)(6, 78, 15, 87)(8, 80, 19, 91)(10, 82, 22, 94)(11, 83, 26, 98)(12, 84, 28, 100)(14, 86, 31, 103)(16, 88, 36, 108)(17, 89, 40, 112)(18, 90, 42, 114)(20, 92, 45, 117)(21, 93, 49, 121)(23, 95, 47, 119)(24, 96, 38, 110)(25, 97, 44, 116)(27, 99, 55, 127)(29, 101, 58, 130)(30, 102, 39, 111)(32, 104, 59, 131)(33, 105, 37, 109)(34, 106, 48, 120)(35, 107, 63, 135)(41, 113, 62, 134)(43, 115, 50, 122)(46, 118, 70, 142)(51, 123, 72, 144)(52, 124, 69, 141)(53, 125, 66, 138)(54, 126, 68, 140)(56, 128, 67, 139)(57, 129, 65, 137)(60, 132, 71, 143)(61, 133, 64, 136)(145, 217, 147, 219, 149, 221)(146, 218, 150, 222, 152, 224)(148, 220, 155, 227, 156, 228)(151, 223, 161, 233, 162, 234)(153, 225, 165, 237, 167, 239)(154, 226, 168, 240, 169, 241)(157, 229, 174, 246, 176, 248)(158, 230, 177, 249, 178, 250)(159, 231, 179, 251, 181, 253)(160, 232, 182, 254, 183, 255)(163, 235, 188, 260, 190, 262)(164, 236, 191, 263, 192, 264)(166, 238, 194, 266, 195, 267)(170, 242, 193, 265, 200, 272)(171, 243, 197, 269, 201, 273)(172, 244, 196, 268, 203, 275)(173, 245, 198, 270, 204, 276)(175, 247, 205, 277, 206, 278)(180, 252, 202, 274, 208, 280)(184, 256, 207, 279, 212, 284)(185, 257, 210, 282, 213, 285)(186, 258, 209, 281, 214, 286)(187, 259, 211, 283, 215, 287)(189, 261, 216, 288, 199, 271)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 158)(6, 160)(7, 146)(8, 164)(9, 166)(10, 147)(11, 171)(12, 173)(13, 175)(14, 149)(15, 180)(16, 150)(17, 185)(18, 187)(19, 189)(20, 152)(21, 179)(22, 153)(23, 196)(24, 197)(25, 198)(26, 199)(27, 155)(28, 202)(29, 156)(30, 200)(31, 157)(32, 190)(33, 201)(34, 204)(35, 165)(36, 159)(37, 209)(38, 210)(39, 211)(40, 206)(41, 161)(42, 194)(43, 162)(44, 212)(45, 163)(46, 176)(47, 213)(48, 215)(49, 207)(50, 186)(51, 208)(52, 167)(53, 168)(54, 169)(55, 170)(56, 174)(57, 177)(58, 172)(59, 214)(60, 178)(61, 216)(62, 184)(63, 193)(64, 195)(65, 181)(66, 182)(67, 183)(68, 188)(69, 191)(70, 203)(71, 192)(72, 205)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1516
Graph:: simple bipartite
	v = 60 e = 144 f = 48
	degree seq :: [ 4^36, 6^24 ]

E19.1509 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * R)^2, (R * Y1)^2, (Y1 * Y3)^2, (R * Y2 * Y3)^2, R * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * R * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1, (Y2^-1 * R * Y2 * Y1)^2, (Y1 * Y2 * Y3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 13, 85)(6, 78, 15, 87)(8, 80, 19, 91)(10, 82, 22, 94)(11, 83, 26, 98)(12, 84, 28, 100)(14, 86, 31, 103)(16, 88, 36, 108)(17, 89, 40, 112)(18, 90, 42, 114)(20, 92, 45, 117)(21, 93, 35, 107)(23, 95, 44, 116)(24, 96, 38, 110)(25, 97, 54, 126)(27, 99, 55, 127)(29, 101, 58, 130)(30, 102, 37, 109)(32, 104, 46, 118)(33, 105, 57, 129)(34, 106, 48, 120)(39, 111, 67, 139)(41, 113, 62, 134)(43, 115, 50, 122)(47, 119, 69, 141)(49, 121, 63, 135)(51, 123, 64, 136)(52, 124, 68, 140)(53, 125, 66, 138)(56, 128, 65, 137)(59, 131, 70, 142)(60, 132, 71, 143)(61, 133, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 150, 222, 152, 224)(148, 220, 155, 227, 156, 228)(151, 223, 161, 233, 162, 234)(153, 225, 165, 237, 167, 239)(154, 226, 168, 240, 169, 241)(157, 229, 174, 246, 176, 248)(158, 230, 177, 249, 178, 250)(159, 231, 179, 251, 181, 253)(160, 232, 182, 254, 183, 255)(163, 235, 188, 260, 190, 262)(164, 236, 191, 263, 192, 264)(166, 238, 194, 266, 195, 267)(170, 242, 197, 269, 200, 272)(171, 243, 193, 265, 201, 273)(172, 244, 196, 268, 203, 275)(173, 245, 198, 270, 204, 276)(175, 247, 205, 277, 206, 278)(180, 252, 202, 274, 208, 280)(184, 256, 210, 282, 212, 284)(185, 257, 207, 279, 213, 285)(186, 258, 209, 281, 214, 286)(187, 259, 211, 283, 215, 287)(189, 261, 216, 288, 199, 271)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 158)(6, 160)(7, 146)(8, 164)(9, 166)(10, 147)(11, 171)(12, 173)(13, 175)(14, 149)(15, 180)(16, 150)(17, 185)(18, 187)(19, 189)(20, 152)(21, 193)(22, 153)(23, 196)(24, 197)(25, 191)(26, 199)(27, 155)(28, 202)(29, 156)(30, 200)(31, 157)(32, 204)(33, 183)(34, 203)(35, 207)(36, 159)(37, 209)(38, 210)(39, 177)(40, 206)(41, 161)(42, 194)(43, 162)(44, 212)(45, 163)(46, 215)(47, 169)(48, 214)(49, 165)(50, 186)(51, 216)(52, 167)(53, 168)(54, 213)(55, 170)(56, 174)(57, 211)(58, 172)(59, 178)(60, 176)(61, 208)(62, 184)(63, 179)(64, 205)(65, 181)(66, 182)(67, 201)(68, 188)(69, 198)(70, 192)(71, 190)(72, 195)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1517
Graph:: simple bipartite
	v = 60 e = 144 f = 48
	degree seq :: [ 4^36, 6^24 ]

E19.1510 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y1 * Y2^-1)^3, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2, (Y2 * Y3 * Y2^-1 * Y1)^2, Y2^-1 * R * Y2^-1 * Y1 * Y2 * R * Y2 * Y1, (Y3 * Y2 * Y1 * Y2^-1)^2, Y2 * Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 13, 85)(6, 78, 15, 87)(8, 80, 19, 91)(10, 82, 21, 93)(11, 83, 25, 97)(12, 84, 27, 99)(14, 86, 30, 102)(16, 88, 33, 105)(17, 89, 36, 108)(18, 90, 38, 110)(20, 92, 40, 112)(22, 94, 29, 101)(23, 95, 46, 118)(24, 96, 35, 107)(26, 98, 49, 121)(28, 100, 53, 125)(31, 103, 41, 113)(32, 104, 59, 131)(34, 106, 43, 115)(37, 109, 63, 135)(39, 111, 65, 137)(42, 114, 57, 129)(44, 116, 61, 133)(45, 117, 52, 124)(47, 119, 64, 136)(48, 120, 54, 126)(50, 122, 62, 134)(51, 123, 58, 130)(55, 127, 68, 140)(56, 128, 67, 139)(60, 132, 66, 138)(69, 141, 71, 143)(70, 142, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 150, 222, 152, 224)(148, 220, 155, 227, 156, 228)(151, 223, 161, 233, 162, 234)(153, 225, 163, 235, 166, 238)(154, 226, 167, 239, 168, 240)(157, 229, 173, 245, 159, 231)(158, 230, 175, 247, 176, 248)(160, 232, 178, 250, 179, 251)(164, 236, 185, 257, 186, 258)(165, 237, 187, 259, 188, 260)(169, 241, 182, 254, 189, 261)(170, 242, 194, 266, 195, 267)(171, 243, 196, 268, 180, 252)(172, 244, 198, 270, 199, 271)(174, 246, 200, 272, 201, 273)(177, 249, 190, 262, 205, 277)(181, 253, 208, 280, 202, 274)(183, 255, 192, 264, 210, 282)(184, 256, 211, 283, 203, 275)(191, 263, 214, 286, 193, 265)(197, 269, 213, 285, 204, 276)(206, 278, 216, 288, 207, 279)(209, 281, 215, 287, 212, 284)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 158)(6, 160)(7, 146)(8, 164)(9, 165)(10, 147)(11, 170)(12, 172)(13, 174)(14, 149)(15, 177)(16, 150)(17, 181)(18, 183)(19, 184)(20, 152)(21, 153)(22, 189)(23, 191)(24, 192)(25, 193)(26, 155)(27, 197)(28, 156)(29, 196)(30, 157)(31, 202)(32, 204)(33, 159)(34, 206)(35, 198)(36, 207)(37, 161)(38, 209)(39, 162)(40, 163)(41, 195)(42, 212)(43, 194)(44, 213)(45, 166)(46, 208)(47, 167)(48, 168)(49, 169)(50, 187)(51, 185)(52, 173)(53, 171)(54, 179)(55, 201)(56, 214)(57, 199)(58, 175)(59, 210)(60, 176)(61, 215)(62, 178)(63, 180)(64, 190)(65, 182)(66, 203)(67, 216)(68, 186)(69, 188)(70, 200)(71, 205)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1514
Graph:: simple bipartite
	v = 60 e = 144 f = 48
	degree seq :: [ 4^36, 6^24 ]

E19.1511 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^3, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y1 * Y2 * Y1, (Y2^-1 * Y3^-1)^3, (Y3^-1 * Y2^-1)^3, R * Y1 * Y3 * R * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, R * Y1 * Y2^-1 * R * Y3 * Y2^-1 * Y1 * Y3, (Y3^-1, Y2^-1)^2, (Y2 * R * Y2 * Y1)^2, Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y2, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 16, 88)(6, 78, 8, 80)(7, 79, 12, 84)(9, 81, 20, 92)(13, 85, 21, 93)(14, 86, 33, 105)(15, 87, 23, 95)(17, 89, 27, 99)(18, 90, 38, 110)(19, 91, 42, 114)(22, 94, 43, 115)(24, 96, 29, 101)(25, 97, 45, 117)(26, 98, 34, 106)(28, 100, 32, 104)(30, 102, 47, 119)(31, 103, 59, 131)(35, 107, 54, 126)(36, 108, 50, 122)(37, 109, 49, 121)(39, 111, 55, 127)(40, 112, 66, 138)(41, 113, 68, 140)(44, 116, 48, 120)(46, 118, 60, 132)(51, 123, 57, 129)(52, 124, 67, 139)(53, 125, 70, 142)(56, 128, 62, 134)(58, 130, 63, 135)(61, 133, 71, 143)(64, 136, 72, 144)(65, 137, 69, 141)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 159, 231)(150, 222, 163, 235, 164, 236)(152, 224, 166, 238, 167, 239)(154, 226, 170, 242, 160, 232)(155, 227, 171, 243, 172, 244)(156, 228, 173, 245, 174, 246)(157, 229, 175, 247, 176, 248)(161, 233, 183, 255, 184, 256)(162, 234, 185, 257, 178, 250)(165, 237, 190, 262, 191, 263)(168, 240, 195, 267, 196, 268)(169, 241, 197, 269, 186, 258)(177, 249, 194, 266, 207, 279)(179, 251, 204, 276, 202, 274)(180, 252, 201, 273, 208, 280)(181, 253, 206, 278, 187, 259)(182, 254, 209, 281, 210, 282)(188, 260, 205, 277, 214, 286)(189, 261, 213, 285, 211, 283)(192, 264, 203, 275, 200, 272)(193, 265, 199, 271, 216, 288)(198, 270, 215, 287, 212, 284)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 161)(6, 145)(7, 155)(8, 154)(9, 168)(10, 146)(11, 165)(12, 157)(13, 147)(14, 178)(15, 180)(16, 182)(17, 162)(18, 149)(19, 187)(20, 189)(21, 151)(22, 186)(23, 193)(24, 169)(25, 153)(26, 177)(27, 160)(28, 199)(29, 164)(30, 201)(31, 204)(32, 206)(33, 198)(34, 179)(35, 158)(36, 181)(37, 159)(38, 171)(39, 176)(40, 208)(41, 213)(42, 192)(43, 188)(44, 163)(45, 173)(46, 203)(47, 207)(48, 166)(49, 194)(50, 167)(51, 191)(52, 216)(53, 209)(54, 170)(55, 200)(56, 172)(57, 202)(58, 174)(59, 215)(60, 205)(61, 175)(62, 183)(63, 195)(64, 211)(65, 212)(66, 196)(67, 184)(68, 197)(69, 214)(70, 185)(71, 190)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1519
Graph:: simple bipartite
	v = 60 e = 144 f = 48
	degree seq :: [ 4^36, 6^24 ]

E19.1512 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^4, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^3, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y2 * R * Y3^-1 * Y1 * Y3 * R * Y2^-1 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 22, 94)(9, 81, 28, 100)(12, 84, 23, 95)(13, 85, 24, 96)(14, 86, 20, 92)(15, 87, 26, 98)(16, 88, 27, 99)(18, 90, 40, 112)(19, 91, 39, 111)(21, 93, 30, 102)(25, 97, 29, 101)(31, 103, 33, 105)(32, 104, 52, 124)(34, 106, 50, 122)(35, 107, 46, 118)(36, 108, 45, 117)(37, 109, 47, 119)(38, 110, 48, 120)(41, 113, 43, 115)(42, 114, 66, 138)(44, 116, 68, 140)(49, 121, 51, 123)(53, 125, 58, 130)(54, 126, 57, 129)(55, 127, 59, 131)(56, 128, 60, 132)(61, 133, 69, 141)(62, 134, 71, 143)(63, 135, 72, 144)(64, 136, 70, 142)(65, 137, 67, 139)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 160, 232)(150, 222, 164, 236, 165, 237)(152, 224, 169, 241, 171, 243)(154, 226, 173, 245, 174, 246)(155, 227, 172, 244, 159, 231)(156, 228, 175, 247, 176, 248)(157, 229, 177, 249, 178, 250)(161, 233, 170, 242, 166, 238)(162, 234, 185, 257, 186, 258)(163, 235, 187, 259, 188, 260)(167, 239, 193, 265, 194, 266)(168, 240, 195, 267, 196, 268)(179, 251, 198, 270, 205, 277)(180, 252, 201, 273, 206, 278)(181, 253, 199, 271, 207, 279)(182, 254, 203, 275, 208, 280)(183, 255, 209, 281, 210, 282)(184, 256, 211, 283, 212, 284)(189, 261, 197, 269, 213, 285)(190, 262, 202, 274, 215, 287)(191, 263, 204, 276, 214, 286)(192, 264, 200, 272, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 162)(6, 145)(7, 167)(8, 170)(9, 163)(10, 146)(11, 168)(12, 166)(13, 147)(14, 179)(15, 150)(16, 181)(17, 183)(18, 153)(19, 149)(20, 189)(21, 191)(22, 157)(23, 155)(24, 151)(25, 180)(26, 154)(27, 192)(28, 184)(29, 190)(30, 182)(31, 197)(32, 199)(33, 201)(34, 203)(35, 169)(36, 158)(37, 174)(38, 160)(39, 172)(40, 161)(41, 206)(42, 207)(43, 205)(44, 216)(45, 173)(46, 164)(47, 171)(48, 165)(49, 202)(50, 200)(51, 198)(52, 204)(53, 195)(54, 175)(55, 194)(56, 176)(57, 193)(58, 177)(59, 196)(60, 178)(61, 211)(62, 209)(63, 212)(64, 188)(65, 213)(66, 208)(67, 215)(68, 214)(69, 185)(70, 186)(71, 187)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1521
Graph:: simple bipartite
	v = 60 e = 144 f = 48
	degree seq :: [ 4^36, 6^24 ]

E19.1513 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y3^4, Y2 * Y3^-2 * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y1 * Y2 * Y3^-1, Y2^-1 * Y3^2 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-2 * Y1 * Y3, Y2^-1 * R * Y1 * Y3^-2 * R * Y2 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 22, 94)(9, 81, 26, 98)(12, 84, 32, 104)(13, 85, 31, 103)(14, 86, 23, 95)(15, 87, 24, 96)(16, 88, 21, 93)(18, 90, 27, 99)(19, 91, 28, 100)(20, 92, 29, 101)(25, 97, 30, 102)(33, 105, 53, 125)(34, 106, 36, 108)(35, 107, 55, 127)(37, 109, 45, 117)(38, 110, 46, 118)(39, 111, 48, 120)(40, 112, 47, 119)(41, 113, 51, 123)(42, 114, 44, 116)(43, 115, 49, 121)(50, 122, 52, 124)(54, 126, 56, 128)(57, 129, 61, 133)(58, 130, 62, 134)(59, 131, 64, 136)(60, 132, 63, 135)(65, 137, 66, 138)(67, 139, 68, 140)(69, 141, 71, 143)(70, 142, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 160, 232)(150, 222, 164, 236, 165, 237)(152, 224, 167, 239, 169, 241)(154, 226, 173, 245, 174, 246)(155, 227, 170, 242, 168, 240)(156, 228, 177, 249, 178, 250)(157, 229, 179, 251, 180, 252)(159, 231, 166, 238, 161, 233)(162, 234, 185, 257, 186, 258)(163, 235, 187, 259, 188, 260)(171, 243, 193, 265, 194, 266)(172, 244, 195, 267, 196, 268)(175, 247, 197, 269, 198, 270)(176, 248, 199, 271, 200, 272)(181, 253, 202, 274, 209, 281)(182, 254, 205, 277, 210, 282)(183, 255, 203, 275, 211, 283)(184, 256, 207, 279, 212, 284)(189, 261, 201, 273, 213, 285)(190, 262, 206, 278, 215, 287)(191, 263, 208, 280, 214, 286)(192, 264, 204, 276, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 162)(6, 145)(7, 157)(8, 168)(9, 171)(10, 146)(11, 175)(12, 151)(13, 147)(14, 181)(15, 150)(16, 183)(17, 172)(18, 170)(19, 149)(20, 189)(21, 191)(22, 176)(23, 190)(24, 154)(25, 184)(26, 163)(27, 161)(28, 153)(29, 182)(30, 192)(31, 166)(32, 155)(33, 201)(34, 203)(35, 205)(36, 207)(37, 173)(38, 158)(39, 169)(40, 160)(41, 210)(42, 211)(43, 209)(44, 216)(45, 167)(46, 164)(47, 174)(48, 165)(49, 213)(50, 212)(51, 215)(52, 214)(53, 206)(54, 204)(55, 202)(56, 208)(57, 199)(58, 177)(59, 198)(60, 178)(61, 197)(62, 179)(63, 200)(64, 180)(65, 195)(66, 193)(67, 196)(68, 188)(69, 185)(70, 186)(71, 187)(72, 194)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1520
Graph:: simple bipartite
	v = 60 e = 144 f = 48
	degree seq :: [ 4^36, 6^24 ]

E19.1514 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, (Y1 * Y2)^3, (Y3 * Y1^-1)^3, Y1^6, Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 17, 89, 16, 88, 5, 77)(3, 75, 9, 81, 18, 90, 41, 113, 30, 102, 11, 83)(4, 76, 12, 84, 31, 103, 48, 120, 35, 107, 13, 85)(7, 79, 20, 92, 39, 111, 25, 97, 14, 86, 22, 94)(8, 80, 23, 95, 49, 121, 26, 98, 52, 124, 24, 96)(10, 82, 27, 99, 54, 126, 63, 135, 58, 130, 28, 100)(15, 87, 37, 109, 56, 128, 29, 101, 59, 131, 33, 105)(19, 91, 43, 115, 67, 139, 45, 117, 68, 140, 44, 116)(21, 93, 46, 118, 69, 141, 60, 132, 72, 144, 47, 119)(32, 104, 57, 129, 64, 136, 55, 127, 34, 106, 40, 112)(36, 108, 62, 134, 66, 138, 42, 114, 65, 137, 61, 133)(38, 110, 50, 122, 71, 143, 53, 125, 70, 142, 51, 123)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 158, 230)(150, 222, 162, 234)(152, 224, 165, 237)(153, 225, 169, 241)(155, 227, 164, 236)(156, 228, 176, 248)(157, 229, 178, 250)(159, 231, 180, 252)(160, 232, 174, 246)(161, 233, 183, 255)(163, 235, 186, 258)(166, 238, 185, 257)(167, 239, 194, 266)(168, 240, 195, 267)(170, 242, 197, 269)(171, 243, 199, 271)(172, 244, 201, 273)(173, 245, 189, 261)(175, 247, 198, 270)(177, 249, 188, 260)(179, 251, 202, 274)(181, 253, 187, 259)(182, 254, 204, 276)(184, 256, 207, 279)(190, 262, 214, 286)(191, 263, 215, 287)(192, 264, 208, 280)(193, 265, 213, 285)(196, 268, 216, 288)(200, 272, 210, 282)(203, 275, 209, 281)(205, 277, 211, 283)(206, 278, 212, 284)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 159)(6, 163)(7, 165)(8, 146)(9, 170)(10, 147)(11, 173)(12, 177)(13, 167)(14, 180)(15, 149)(16, 182)(17, 184)(18, 186)(19, 150)(20, 189)(21, 151)(22, 192)(23, 157)(24, 187)(25, 197)(26, 153)(27, 200)(28, 196)(29, 155)(30, 204)(31, 190)(32, 188)(33, 156)(34, 194)(35, 205)(36, 158)(37, 195)(38, 160)(39, 207)(40, 161)(41, 208)(42, 162)(43, 168)(44, 176)(45, 164)(46, 175)(47, 212)(48, 166)(49, 209)(50, 178)(51, 181)(52, 172)(53, 169)(54, 214)(55, 210)(56, 171)(57, 216)(58, 211)(59, 213)(60, 174)(61, 179)(62, 215)(63, 183)(64, 185)(65, 193)(66, 199)(67, 202)(68, 191)(69, 203)(70, 198)(71, 206)(72, 201)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1510
Graph:: simple bipartite
	v = 48 e = 144 f = 60
	degree seq :: [ 4^36, 12^12 ]

E19.1515 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y3 * Y1^2 * Y3 * Y1^-2, (Y3 * Y1^-1)^3, Y1^6, Y1 * Y2 * Y1^-2 * Y2 * Y1 * Y2, Y1^2 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2, (Y3 * Y1^-1 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 17, 89, 16, 88, 5, 77)(3, 75, 9, 81, 25, 97, 41, 113, 32, 104, 11, 83)(4, 76, 12, 84, 19, 91, 45, 117, 36, 108, 13, 85)(7, 79, 20, 92, 46, 118, 40, 112, 30, 102, 22, 94)(8, 80, 23, 95, 42, 114, 34, 106, 15, 87, 24, 96)(10, 82, 28, 100, 53, 125, 70, 142, 59, 131, 29, 101)(14, 86, 37, 109, 26, 98, 18, 90, 43, 115, 39, 111)(21, 93, 48, 120, 71, 143, 61, 133, 60, 132, 49, 121)(27, 99, 55, 127, 67, 139, 57, 129, 31, 103, 52, 124)(33, 105, 47, 119, 72, 144, 64, 136, 58, 130, 50, 122)(35, 107, 62, 134, 56, 128, 44, 116, 69, 141, 63, 135)(38, 110, 65, 137, 54, 126, 51, 123, 68, 140, 66, 138)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 158, 230)(150, 222, 162, 234)(152, 224, 165, 237)(153, 225, 170, 242)(155, 227, 174, 246)(156, 228, 177, 249)(157, 229, 179, 251)(159, 231, 182, 254)(160, 232, 184, 256)(161, 233, 185, 257)(163, 235, 188, 260)(164, 236, 169, 241)(166, 238, 181, 253)(167, 239, 195, 267)(168, 240, 196, 268)(171, 243, 198, 270)(172, 244, 200, 272)(173, 245, 202, 274)(175, 247, 204, 276)(176, 248, 183, 255)(178, 250, 205, 277)(180, 252, 208, 280)(186, 258, 211, 283)(187, 259, 190, 262)(189, 261, 214, 286)(191, 263, 197, 269)(192, 264, 199, 271)(193, 265, 209, 281)(194, 266, 206, 278)(201, 273, 210, 282)(203, 275, 207, 279)(212, 284, 215, 287)(213, 285, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 159)(6, 163)(7, 165)(8, 146)(9, 171)(10, 147)(11, 175)(12, 178)(13, 167)(14, 182)(15, 149)(16, 180)(17, 186)(18, 188)(19, 150)(20, 191)(21, 151)(22, 194)(23, 157)(24, 189)(25, 197)(26, 198)(27, 153)(28, 201)(29, 199)(30, 204)(31, 155)(32, 203)(33, 205)(34, 156)(35, 195)(36, 160)(37, 206)(38, 158)(39, 207)(40, 208)(41, 211)(42, 161)(43, 212)(44, 162)(45, 168)(46, 215)(47, 164)(48, 202)(49, 216)(50, 166)(51, 179)(52, 214)(53, 169)(54, 170)(55, 173)(56, 210)(57, 172)(58, 192)(59, 176)(60, 174)(61, 177)(62, 181)(63, 183)(64, 184)(65, 213)(66, 200)(67, 185)(68, 187)(69, 209)(70, 196)(71, 190)(72, 193)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1506
Graph:: simple bipartite
	v = 48 e = 144 f = 60
	degree seq :: [ 4^36, 12^12 ]

E19.1516 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y1^-2 * Y3 * Y1, Y1 * Y2 * Y1^-2 * Y2 * Y1, (Y3 * Y1^-1)^3, Y1^6, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2, Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 17, 89, 16, 88, 5, 77)(3, 75, 9, 81, 18, 90, 40, 112, 31, 103, 11, 83)(4, 76, 12, 84, 19, 91, 42, 114, 35, 107, 13, 85)(7, 79, 20, 92, 38, 110, 37, 109, 14, 86, 22, 94)(8, 80, 23, 95, 39, 111, 33, 105, 15, 87, 24, 96)(10, 82, 27, 99, 41, 113, 69, 141, 57, 129, 28, 100)(21, 93, 45, 117, 66, 138, 64, 136, 36, 108, 46, 118)(25, 97, 43, 115, 67, 139, 59, 131, 29, 101, 47, 119)(26, 98, 52, 124, 68, 140, 55, 127, 30, 102, 53, 125)(32, 104, 60, 132, 70, 142, 63, 135, 34, 106, 62, 134)(44, 116, 71, 143, 65, 137, 56, 128, 48, 120, 54, 126)(49, 121, 72, 144, 61, 133, 58, 130, 50, 122, 51, 123)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 158, 230)(150, 222, 162, 234)(152, 224, 165, 237)(153, 225, 169, 241)(155, 227, 173, 245)(156, 228, 176, 248)(157, 229, 178, 250)(159, 231, 180, 252)(160, 232, 175, 247)(161, 233, 182, 254)(163, 235, 185, 257)(164, 236, 187, 259)(166, 238, 191, 263)(167, 239, 193, 265)(168, 240, 194, 266)(170, 242, 195, 267)(171, 243, 198, 270)(172, 244, 200, 272)(174, 246, 202, 274)(177, 249, 205, 277)(179, 251, 201, 273)(181, 253, 203, 275)(183, 255, 210, 282)(184, 256, 211, 283)(186, 258, 214, 286)(188, 260, 204, 276)(189, 261, 196, 268)(190, 262, 197, 269)(192, 264, 206, 278)(199, 271, 208, 280)(207, 279, 209, 281)(212, 284, 216, 288)(213, 285, 215, 287)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 159)(6, 163)(7, 165)(8, 146)(9, 170)(10, 147)(11, 174)(12, 177)(13, 167)(14, 180)(15, 149)(16, 179)(17, 183)(18, 185)(19, 150)(20, 188)(21, 151)(22, 192)(23, 157)(24, 186)(25, 195)(26, 153)(27, 199)(28, 196)(29, 202)(30, 155)(31, 201)(32, 205)(33, 156)(34, 193)(35, 160)(36, 158)(37, 209)(38, 210)(39, 161)(40, 212)(41, 162)(42, 168)(43, 204)(44, 164)(45, 200)(46, 215)(47, 206)(48, 166)(49, 178)(50, 214)(51, 169)(52, 172)(53, 213)(54, 208)(55, 171)(56, 189)(57, 175)(58, 173)(59, 207)(60, 187)(61, 176)(62, 191)(63, 203)(64, 198)(65, 181)(66, 182)(67, 216)(68, 184)(69, 197)(70, 194)(71, 190)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1508
Graph:: simple bipartite
	v = 48 e = 144 f = 60
	degree seq :: [ 4^36, 12^12 ]

E19.1517 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^3, Y1^6, Y3 * Y1 * Y2 * Y1 * Y3 * Y1^-2, Y1 * Y2 * Y1 * Y2 * Y1^-2 * Y2, Y1^2 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 17, 89, 16, 88, 5, 77)(3, 75, 9, 81, 25, 97, 44, 116, 32, 104, 11, 83)(4, 76, 12, 84, 33, 105, 64, 136, 37, 109, 13, 85)(7, 79, 20, 92, 49, 121, 42, 114, 30, 102, 22, 94)(8, 80, 23, 95, 53, 125, 59, 131, 31, 103, 24, 96)(10, 82, 28, 100, 47, 119, 71, 143, 61, 133, 29, 101)(14, 86, 38, 110, 26, 98, 18, 90, 46, 118, 40, 112)(15, 87, 41, 113, 27, 99, 57, 129, 66, 138, 35, 107)(19, 91, 48, 120, 63, 135, 60, 132, 52, 124, 34, 106)(21, 93, 50, 122, 70, 142, 68, 140, 39, 111, 51, 123)(36, 108, 67, 139, 58, 130, 55, 127, 69, 141, 43, 115)(45, 117, 65, 137, 62, 134, 72, 144, 56, 128, 54, 126)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 158, 230)(150, 222, 162, 234)(152, 224, 165, 237)(153, 225, 170, 242)(155, 227, 174, 246)(156, 228, 178, 250)(157, 229, 180, 252)(159, 231, 183, 255)(160, 232, 186, 258)(161, 233, 188, 260)(163, 235, 191, 263)(164, 236, 169, 241)(166, 238, 182, 254)(167, 239, 198, 270)(168, 240, 185, 257)(171, 243, 200, 272)(172, 244, 202, 274)(173, 245, 204, 276)(175, 247, 206, 278)(176, 248, 184, 256)(177, 249, 199, 271)(179, 251, 209, 281)(181, 253, 207, 279)(187, 259, 205, 277)(189, 261, 214, 286)(190, 262, 193, 265)(192, 264, 213, 285)(194, 266, 201, 273)(195, 267, 216, 288)(196, 268, 211, 283)(197, 269, 210, 282)(203, 275, 212, 284)(208, 280, 215, 287)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 159)(6, 163)(7, 165)(8, 146)(9, 171)(10, 147)(11, 175)(12, 179)(13, 167)(14, 183)(15, 149)(16, 187)(17, 189)(18, 191)(19, 150)(20, 177)(21, 151)(22, 196)(23, 157)(24, 192)(25, 199)(26, 200)(27, 153)(28, 203)(29, 201)(30, 206)(31, 155)(32, 207)(33, 164)(34, 209)(35, 156)(36, 198)(37, 184)(38, 211)(39, 158)(40, 181)(41, 213)(42, 205)(43, 160)(44, 214)(45, 161)(46, 197)(47, 162)(48, 168)(49, 210)(50, 204)(51, 208)(52, 166)(53, 190)(54, 180)(55, 169)(56, 170)(57, 173)(58, 212)(59, 172)(60, 194)(61, 186)(62, 174)(63, 176)(64, 195)(65, 178)(66, 193)(67, 182)(68, 202)(69, 185)(70, 188)(71, 216)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1509
Graph:: simple bipartite
	v = 48 e = 144 f = 60
	degree seq :: [ 4^36, 12^12 ]

E19.1518 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^2 * Y3 * Y1^-2, (Y1 * Y2)^3, Y1^6, Y3 * Y1^2 * Y3 * Y1^-2, Y2 * Y1^2 * Y2 * Y1^-2, (Y3 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 17, 89, 16, 88, 5, 77)(3, 75, 9, 81, 18, 90, 38, 110, 30, 102, 11, 83)(4, 76, 12, 84, 19, 91, 40, 112, 34, 106, 13, 85)(7, 79, 20, 92, 36, 108, 25, 97, 14, 86, 22, 94)(8, 80, 23, 95, 37, 109, 32, 104, 15, 87, 24, 96)(10, 82, 27, 99, 39, 111, 59, 131, 53, 125, 28, 100)(21, 93, 42, 114, 57, 129, 56, 128, 35, 107, 43, 115)(26, 98, 48, 120, 58, 130, 51, 123, 29, 101, 49, 121)(31, 103, 52, 124, 60, 132, 50, 122, 33, 105, 55, 127)(41, 113, 61, 133, 47, 119, 64, 136, 44, 116, 62, 134)(45, 117, 65, 137, 54, 126, 63, 135, 46, 118, 66, 138)(67, 139, 70, 142, 69, 141, 72, 144, 68, 140, 71, 143)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 158, 230)(150, 222, 162, 234)(152, 224, 165, 237)(153, 225, 169, 241)(155, 227, 164, 236)(156, 228, 175, 247)(157, 229, 177, 249)(159, 231, 179, 251)(160, 232, 174, 246)(161, 233, 180, 252)(163, 235, 183, 255)(166, 238, 182, 254)(167, 239, 189, 261)(168, 240, 190, 262)(170, 242, 191, 263)(171, 243, 194, 266)(172, 244, 196, 268)(173, 245, 185, 257)(176, 248, 198, 270)(178, 250, 197, 269)(181, 253, 201, 273)(184, 256, 204, 276)(186, 258, 207, 279)(187, 259, 209, 281)(188, 260, 202, 274)(192, 264, 211, 283)(193, 265, 212, 284)(195, 267, 213, 285)(199, 271, 203, 275)(200, 272, 210, 282)(205, 277, 214, 286)(206, 278, 215, 287)(208, 280, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 159)(6, 163)(7, 165)(8, 146)(9, 170)(10, 147)(11, 173)(12, 176)(13, 167)(14, 179)(15, 149)(16, 178)(17, 181)(18, 183)(19, 150)(20, 185)(21, 151)(22, 188)(23, 157)(24, 184)(25, 191)(26, 153)(27, 195)(28, 192)(29, 155)(30, 197)(31, 198)(32, 156)(33, 189)(34, 160)(35, 158)(36, 201)(37, 161)(38, 202)(39, 162)(40, 168)(41, 164)(42, 208)(43, 205)(44, 166)(45, 177)(46, 204)(47, 169)(48, 172)(49, 203)(50, 213)(51, 171)(52, 211)(53, 174)(54, 175)(55, 212)(56, 206)(57, 180)(58, 182)(59, 193)(60, 190)(61, 187)(62, 200)(63, 216)(64, 186)(65, 214)(66, 215)(67, 196)(68, 199)(69, 194)(70, 209)(71, 210)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1507
Graph:: simple bipartite
	v = 48 e = 144 f = 60
	degree seq :: [ 4^36, 12^12 ]

E19.1519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^2 * Y2, Y3^-1 * Y2 * Y3^2 * Y2, Y1 * Y2 * Y3^-1 * Y1^-1 * Y3 * Y2, Y2 * Y1^2 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^3, (Y3^-1 * Y1^-1)^3, Y1^-2 * Y3 * Y1^2 * Y3^-1, Y1^6, Y2 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 19, 91, 5, 77)(3, 75, 11, 83, 24, 96, 58, 130, 42, 114, 13, 85)(4, 76, 15, 87, 25, 97, 61, 133, 49, 121, 16, 88)(6, 78, 21, 93, 26, 98, 62, 134, 54, 126, 22, 94)(8, 80, 27, 99, 55, 127, 52, 124, 17, 89, 29, 101)(9, 81, 31, 103, 56, 128, 53, 125, 18, 90, 32, 104)(10, 82, 33, 105, 57, 129, 46, 118, 20, 92, 34, 106)(12, 84, 38, 110, 59, 131, 65, 137, 70, 142, 39, 111)(14, 86, 30, 102, 60, 132, 72, 144, 71, 143, 44, 116)(28, 100, 41, 113, 69, 141, 36, 108, 51, 123, 63, 135)(35, 107, 50, 122, 68, 140, 47, 119, 40, 112, 64, 136)(37, 109, 48, 120, 67, 139, 45, 117, 43, 115, 66, 138)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 168, 240)(153, 225, 174, 246)(154, 226, 172, 244)(155, 227, 179, 251)(157, 229, 184, 256)(159, 231, 189, 261)(160, 232, 192, 264)(162, 234, 188, 260)(163, 235, 186, 258)(164, 236, 195, 267)(165, 237, 180, 252)(166, 238, 185, 257)(167, 239, 199, 271)(169, 241, 204, 276)(170, 242, 203, 275)(171, 243, 194, 266)(173, 245, 208, 280)(175, 247, 187, 259)(176, 248, 211, 283)(177, 249, 183, 255)(178, 250, 209, 281)(181, 253, 197, 269)(182, 254, 190, 262)(191, 263, 196, 268)(193, 265, 215, 287)(198, 270, 214, 286)(200, 272, 216, 288)(201, 273, 213, 285)(202, 274, 212, 284)(205, 277, 210, 282)(206, 278, 207, 279)
	L = (1, 148)(2, 153)(3, 156)(4, 150)(5, 162)(6, 145)(7, 169)(8, 172)(9, 154)(10, 146)(11, 180)(12, 158)(13, 185)(14, 147)(15, 190)(16, 177)(17, 195)(18, 164)(19, 193)(20, 149)(21, 179)(22, 184)(23, 200)(24, 203)(25, 170)(26, 151)(27, 183)(28, 174)(29, 209)(30, 152)(31, 166)(32, 206)(33, 194)(34, 208)(35, 197)(36, 181)(37, 155)(38, 189)(39, 192)(40, 175)(41, 187)(42, 214)(43, 157)(44, 161)(45, 196)(46, 191)(47, 159)(48, 171)(49, 198)(50, 160)(51, 188)(52, 182)(53, 165)(54, 163)(55, 213)(56, 201)(57, 167)(58, 207)(59, 204)(60, 168)(61, 178)(62, 212)(63, 211)(64, 205)(65, 210)(66, 173)(67, 202)(68, 176)(69, 216)(70, 215)(71, 186)(72, 199)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1511
Graph:: simple bipartite
	v = 48 e = 144 f = 60
	degree seq :: [ 4^36, 12^12 ]

E19.1520 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, Y3^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3^-1 * Y1 * Y3^-2 * Y1^-1, Y3^2 * Y1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-2 * Y3 * Y1^2, (Y2 * Y1^-1)^3, Y2 * Y1^2 * Y2 * Y1^-2, (Y3 * Y1^-1)^3, Y1^6, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 24, 96, 20, 92, 5, 77)(3, 75, 11, 83, 25, 97, 52, 124, 42, 114, 13, 85)(4, 76, 15, 87, 26, 98, 55, 127, 47, 119, 17, 89)(6, 78, 22, 94, 27, 99, 57, 129, 48, 120, 23, 95)(8, 80, 28, 100, 49, 121, 37, 109, 18, 90, 30, 102)(9, 81, 32, 104, 50, 122, 38, 110, 19, 91, 34, 106)(10, 82, 35, 107, 51, 123, 45, 117, 21, 93, 36, 108)(12, 84, 29, 101, 53, 125, 67, 139, 64, 136, 41, 113)(14, 86, 33, 105, 54, 126, 69, 141, 65, 137, 44, 116)(16, 88, 31, 103, 56, 128, 68, 140, 66, 138, 46, 118)(39, 111, 62, 134, 70, 142, 59, 131, 43, 115, 63, 135)(40, 112, 61, 133, 71, 143, 60, 132, 72, 144, 58, 130)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 169, 241)(153, 225, 175, 247)(154, 226, 173, 245)(155, 227, 181, 253)(157, 229, 172, 244)(159, 231, 183, 255)(160, 232, 184, 256)(161, 233, 187, 259)(163, 235, 190, 262)(164, 236, 186, 258)(165, 237, 185, 257)(166, 238, 189, 261)(167, 239, 179, 251)(168, 240, 193, 265)(170, 242, 198, 270)(171, 243, 197, 269)(174, 246, 196, 268)(176, 248, 202, 274)(177, 249, 203, 275)(178, 250, 204, 276)(180, 252, 201, 273)(182, 254, 205, 277)(188, 260, 206, 278)(191, 263, 209, 281)(192, 264, 208, 280)(194, 266, 212, 284)(195, 267, 211, 283)(199, 271, 214, 286)(200, 272, 215, 287)(207, 279, 213, 285)(210, 282, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 177)(10, 146)(11, 182)(12, 184)(13, 176)(14, 147)(15, 189)(16, 150)(17, 179)(18, 185)(19, 188)(20, 191)(21, 149)(22, 183)(23, 187)(24, 194)(25, 197)(26, 200)(27, 151)(28, 161)(29, 203)(30, 199)(31, 152)(32, 167)(33, 154)(34, 201)(35, 202)(36, 204)(37, 159)(38, 166)(39, 155)(40, 158)(41, 206)(42, 208)(43, 157)(44, 165)(45, 205)(46, 162)(47, 210)(48, 164)(49, 211)(50, 213)(51, 168)(52, 178)(53, 215)(54, 169)(55, 180)(56, 171)(57, 214)(58, 172)(59, 175)(60, 174)(61, 181)(62, 190)(63, 212)(64, 216)(65, 186)(66, 192)(67, 207)(68, 193)(69, 195)(70, 196)(71, 198)(72, 209)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1513
Graph:: simple bipartite
	v = 48 e = 144 f = 60
	degree seq :: [ 4^36, 12^12 ]

E19.1521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y2 * Y3^-1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1^6, Y3^-1 * Y1^-2 * Y3 * Y1^2, (Y3 * Y1^-1)^3, Y2 * Y1^2 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 24, 96, 20, 92, 5, 77)(3, 75, 11, 83, 25, 97, 52, 124, 43, 115, 13, 85)(4, 76, 15, 87, 26, 98, 55, 127, 47, 119, 17, 89)(6, 78, 22, 94, 27, 99, 57, 129, 48, 120, 23, 95)(8, 80, 28, 100, 49, 121, 37, 109, 18, 90, 30, 102)(9, 81, 32, 104, 50, 122, 45, 117, 19, 91, 34, 106)(10, 82, 35, 107, 51, 123, 39, 111, 21, 93, 36, 108)(12, 84, 33, 105, 53, 125, 69, 141, 64, 136, 41, 113)(14, 86, 31, 103, 54, 126, 68, 140, 65, 137, 44, 116)(16, 88, 29, 101, 56, 128, 67, 139, 66, 138, 46, 118)(38, 110, 62, 134, 70, 142, 59, 131, 42, 114, 63, 135)(40, 112, 61, 133, 71, 143, 60, 132, 72, 144, 58, 130)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 169, 241)(153, 225, 175, 247)(154, 226, 173, 245)(155, 227, 181, 253)(157, 229, 172, 244)(159, 231, 189, 261)(160, 232, 184, 256)(161, 233, 176, 248)(163, 235, 188, 260)(164, 236, 187, 259)(165, 237, 190, 262)(166, 238, 182, 254)(167, 239, 186, 258)(168, 240, 193, 265)(170, 242, 198, 270)(171, 243, 197, 269)(174, 246, 196, 268)(177, 249, 203, 275)(178, 250, 199, 271)(179, 251, 202, 274)(180, 252, 204, 276)(183, 255, 205, 277)(185, 257, 206, 278)(191, 263, 209, 281)(192, 264, 208, 280)(194, 266, 212, 284)(195, 267, 211, 283)(200, 272, 215, 287)(201, 273, 214, 286)(207, 279, 213, 285)(210, 282, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 177)(10, 146)(11, 182)(12, 184)(13, 186)(14, 147)(15, 183)(16, 150)(17, 179)(18, 190)(19, 185)(20, 191)(21, 149)(22, 181)(23, 172)(24, 194)(25, 197)(26, 200)(27, 151)(28, 202)(29, 203)(30, 204)(31, 152)(32, 167)(33, 154)(34, 201)(35, 157)(36, 196)(37, 205)(38, 159)(39, 155)(40, 158)(41, 165)(42, 161)(43, 208)(44, 162)(45, 166)(46, 206)(47, 210)(48, 164)(49, 211)(50, 213)(51, 168)(52, 214)(53, 215)(54, 169)(55, 180)(56, 171)(57, 174)(58, 176)(59, 175)(60, 178)(61, 189)(62, 188)(63, 212)(64, 216)(65, 187)(66, 192)(67, 207)(68, 193)(69, 195)(70, 199)(71, 198)(72, 209)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1512
Graph:: simple bipartite
	v = 48 e = 144 f = 60
	degree seq :: [ 4^36, 12^12 ]

E19.1522 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^6, (Y3 * Y1^-1)^3, Y3 * Y1^2 * Y3 * Y1^-2, (Y2 * Y1^-1)^3, Y2 * Y1^-3 * Y2 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 17, 89, 16, 88, 5, 77)(3, 75, 9, 81, 25, 97, 52, 124, 31, 103, 11, 83)(4, 76, 12, 84, 19, 91, 44, 116, 35, 107, 13, 85)(7, 79, 20, 92, 45, 117, 32, 104, 50, 122, 22, 94)(8, 80, 23, 95, 40, 112, 33, 105, 15, 87, 24, 96)(10, 82, 28, 100, 53, 125, 63, 135, 58, 130, 29, 101)(14, 86, 36, 108, 56, 128, 34, 106, 54, 126, 26, 98)(18, 90, 41, 113, 64, 136, 51, 123, 67, 139, 43, 115)(21, 93, 47, 119, 69, 141, 61, 133, 72, 144, 48, 120)(27, 99, 55, 127, 68, 140, 57, 129, 30, 102, 39, 111)(37, 109, 62, 134, 66, 138, 42, 114, 65, 137, 59, 131)(38, 110, 46, 118, 70, 142, 60, 132, 71, 143, 49, 121)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 158, 230)(150, 222, 162, 234)(152, 224, 165, 237)(153, 225, 170, 242)(155, 227, 164, 236)(156, 228, 176, 248)(157, 229, 178, 250)(159, 231, 181, 253)(160, 232, 182, 254)(161, 233, 183, 255)(163, 235, 186, 258)(166, 238, 185, 257)(167, 239, 195, 267)(168, 240, 196, 268)(169, 241, 191, 263)(171, 243, 187, 259)(172, 244, 200, 272)(173, 245, 194, 266)(174, 246, 190, 262)(175, 247, 203, 275)(177, 249, 204, 276)(179, 251, 205, 277)(180, 252, 193, 265)(184, 256, 207, 279)(188, 260, 212, 284)(189, 261, 209, 281)(192, 264, 211, 283)(197, 269, 215, 287)(198, 270, 213, 285)(199, 271, 216, 288)(201, 273, 210, 282)(202, 274, 208, 280)(206, 278, 214, 286)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 159)(6, 163)(7, 165)(8, 146)(9, 171)(10, 147)(11, 174)(12, 177)(13, 167)(14, 181)(15, 149)(16, 179)(17, 184)(18, 186)(19, 150)(20, 190)(21, 151)(22, 193)(23, 157)(24, 188)(25, 197)(26, 187)(27, 153)(28, 201)(29, 199)(30, 155)(31, 202)(32, 204)(33, 156)(34, 195)(35, 160)(36, 185)(37, 158)(38, 205)(39, 207)(40, 161)(41, 180)(42, 162)(43, 170)(44, 168)(45, 213)(46, 164)(47, 215)(48, 214)(49, 166)(50, 216)(51, 178)(52, 212)(53, 169)(54, 209)(55, 173)(56, 210)(57, 172)(58, 175)(59, 208)(60, 176)(61, 182)(62, 211)(63, 183)(64, 203)(65, 198)(66, 200)(67, 206)(68, 196)(69, 189)(70, 192)(71, 191)(72, 194)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1505
Graph:: simple bipartite
	v = 48 e = 144 f = 60
	degree seq :: [ 4^36, 12^12 ]

E19.1523 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, R * Y2 * R * Y2^-1, (Y2^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y2^6, (Y2^-1 * Y1^-1)^3, (Y2 * Y1^-1)^3, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y2, Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 10, 82, 13, 85)(4, 76, 14, 86, 8, 80)(6, 78, 18, 90, 19, 91)(7, 79, 21, 93, 24, 96)(9, 81, 26, 98, 27, 99)(11, 83, 22, 94, 34, 106)(12, 84, 35, 107, 30, 102)(15, 87, 39, 111, 41, 113)(16, 88, 42, 114, 43, 115)(17, 89, 44, 116, 29, 101)(20, 92, 28, 100, 45, 117)(23, 95, 50, 122, 46, 118)(25, 97, 52, 124, 54, 126)(31, 103, 58, 130, 51, 123)(32, 104, 55, 127, 47, 119)(33, 105, 60, 132, 49, 121)(36, 108, 62, 134, 48, 120)(37, 109, 56, 128, 64, 136)(38, 110, 65, 137, 66, 138)(40, 112, 63, 135, 53, 125)(57, 129, 69, 141, 71, 143)(59, 131, 67, 139, 70, 142)(61, 133, 68, 140, 72, 144)(145, 217, 147, 219, 155, 227, 176, 248, 164, 236, 150, 222)(146, 218, 151, 223, 166, 238, 192, 264, 172, 244, 153, 225)(148, 220, 159, 231, 184, 256, 203, 275, 177, 249, 156, 228)(149, 221, 160, 232, 178, 250, 202, 274, 189, 261, 161, 233)(152, 224, 169, 241, 197, 269, 212, 284, 193, 265, 167, 239)(154, 226, 173, 245, 199, 271, 187, 259, 162, 234, 175, 247)(157, 229, 170, 242, 191, 263, 165, 237, 163, 235, 180, 252)(158, 230, 181, 253, 207, 279, 215, 287, 204, 276, 182, 254)(168, 240, 188, 260, 206, 278, 186, 258, 171, 243, 195, 267)(174, 246, 201, 273, 185, 257, 209, 281, 214, 286, 200, 272)(179, 251, 205, 277, 183, 255, 190, 262, 211, 283, 198, 270)(194, 266, 213, 285, 196, 268, 210, 282, 216, 288, 208, 280)
	L = (1, 148)(2, 152)(3, 156)(4, 145)(5, 158)(6, 159)(7, 167)(8, 146)(9, 169)(10, 174)(11, 177)(12, 147)(13, 179)(14, 149)(15, 150)(16, 182)(17, 181)(18, 185)(19, 183)(20, 184)(21, 190)(22, 193)(23, 151)(24, 194)(25, 153)(26, 198)(27, 196)(28, 197)(29, 200)(30, 154)(31, 201)(32, 203)(33, 155)(34, 204)(35, 157)(36, 205)(37, 161)(38, 160)(39, 163)(40, 164)(41, 162)(42, 210)(43, 209)(44, 208)(45, 207)(46, 165)(47, 211)(48, 212)(49, 166)(50, 168)(51, 213)(52, 171)(53, 172)(54, 170)(55, 214)(56, 173)(57, 175)(58, 215)(59, 176)(60, 178)(61, 180)(62, 216)(63, 189)(64, 188)(65, 187)(66, 186)(67, 191)(68, 192)(69, 195)(70, 199)(71, 202)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1504
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 6^24, 12^12 ]

E19.1524 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^2 * Y2^-2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y3^-1, Y2^-1), (Y2 * Y1^-1)^3, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-1, (Y2^-1 * Y1^-1)^3, Y2^6, (Y2, Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 18, 90)(6, 78, 22, 94, 23, 95)(7, 79, 26, 98, 9, 81)(8, 80, 27, 99, 30, 102)(10, 82, 32, 104, 33, 105)(11, 83, 36, 108, 20, 92)(13, 85, 28, 100, 42, 114)(14, 86, 43, 115, 44, 116)(16, 88, 47, 119, 38, 110)(19, 91, 51, 123, 53, 125)(21, 93, 54, 126, 37, 109)(24, 96, 34, 106, 50, 122)(25, 97, 45, 117, 40, 112)(29, 101, 59, 131, 60, 132)(31, 103, 63, 135, 55, 127)(35, 107, 61, 133, 57, 129)(39, 111, 67, 139, 62, 134)(41, 113, 64, 136, 56, 128)(46, 118, 69, 141, 58, 130)(48, 120, 66, 138, 70, 142)(49, 121, 68, 140, 71, 143)(52, 124, 65, 137, 72, 144)(145, 217, 147, 219, 157, 229, 185, 257, 168, 240, 150, 222)(146, 218, 152, 224, 172, 244, 202, 274, 178, 250, 154, 226)(148, 220, 158, 230, 180, 252, 169, 241, 151, 223, 160, 232)(149, 221, 163, 235, 186, 258, 211, 283, 194, 266, 165, 237)(153, 225, 173, 245, 162, 234, 179, 251, 155, 227, 175, 247)(156, 228, 181, 253, 208, 280, 197, 269, 166, 238, 183, 255)(159, 231, 176, 248, 200, 272, 171, 243, 167, 239, 190, 262)(161, 233, 192, 264, 164, 236, 196, 268, 170, 242, 193, 265)(174, 246, 198, 270, 213, 285, 195, 267, 177, 249, 206, 278)(182, 254, 209, 281, 188, 260, 212, 284, 184, 256, 210, 282)(187, 259, 204, 276, 189, 261, 201, 273, 191, 263, 199, 271)(203, 275, 216, 288, 205, 277, 215, 287, 207, 279, 214, 286)
	L = (1, 148)(2, 153)(3, 158)(4, 157)(5, 164)(6, 160)(7, 145)(8, 173)(9, 172)(10, 175)(11, 146)(12, 182)(13, 180)(14, 185)(15, 189)(16, 147)(17, 149)(18, 178)(19, 196)(20, 186)(21, 192)(22, 184)(23, 187)(24, 151)(25, 150)(26, 194)(27, 199)(28, 162)(29, 202)(30, 205)(31, 152)(32, 201)(33, 203)(34, 155)(35, 154)(36, 168)(37, 209)(38, 208)(39, 210)(40, 156)(41, 169)(42, 170)(43, 159)(44, 166)(45, 200)(46, 204)(47, 167)(48, 163)(49, 165)(50, 161)(51, 214)(52, 211)(53, 212)(54, 215)(55, 190)(56, 191)(57, 171)(58, 179)(59, 174)(60, 176)(61, 213)(62, 216)(63, 177)(64, 188)(65, 197)(66, 181)(67, 193)(68, 183)(69, 207)(70, 206)(71, 195)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1503
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 6^24, 12^12 ]

E19.1525 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3 * Y2^-1)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y3 * Y2^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^3, (Y3 * Y2 * Y1^-1)^2, (Y1 * Y3^-1)^3, Y1 * Y2^2 * Y1^-1 * Y2^-2, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 19, 91)(6, 78, 23, 95, 25, 97)(7, 79, 28, 100, 9, 81)(8, 80, 30, 102, 32, 104)(10, 82, 35, 107, 37, 109)(11, 83, 40, 112, 21, 93)(13, 85, 31, 103, 45, 117)(14, 86, 47, 119, 22, 94)(16, 88, 52, 124, 34, 106)(18, 90, 55, 127, 39, 111)(20, 92, 29, 101, 57, 129)(24, 96, 61, 133, 62, 134)(26, 98, 38, 110, 59, 131)(27, 99, 58, 130, 33, 105)(36, 108, 56, 128, 43, 115)(41, 113, 69, 141, 70, 142)(42, 114, 54, 126, 50, 122)(44, 116, 68, 140, 51, 123)(46, 118, 66, 138, 64, 136)(48, 120, 65, 137, 67, 139)(49, 121, 53, 125, 63, 135)(60, 132, 72, 144, 71, 143)(145, 217, 147, 219, 157, 229, 187, 259, 170, 242, 150, 222)(146, 218, 152, 224, 175, 247, 186, 258, 182, 254, 154, 226)(148, 220, 162, 234, 188, 260, 171, 243, 197, 269, 160, 232)(149, 221, 164, 236, 189, 261, 206, 278, 203, 275, 166, 238)(151, 223, 168, 240, 190, 262, 158, 230, 192, 264, 173, 245)(153, 225, 178, 250, 208, 280, 183, 255, 211, 283, 177, 249)(155, 227, 180, 252, 204, 276, 167, 239, 185, 257, 156, 228)(159, 231, 193, 265, 200, 272, 163, 235, 169, 241, 195, 267)(161, 233, 198, 270, 212, 284, 179, 251, 207, 279, 174, 246)(165, 237, 202, 274, 215, 287, 196, 268, 214, 286, 199, 271)(172, 244, 181, 253, 210, 282, 176, 248, 209, 281, 194, 266)(184, 256, 191, 263, 216, 288, 201, 273, 213, 285, 205, 277)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 165)(6, 168)(7, 145)(8, 167)(9, 155)(10, 180)(11, 146)(12, 178)(13, 188)(14, 160)(15, 194)(16, 147)(17, 149)(18, 187)(19, 184)(20, 179)(21, 161)(22, 198)(23, 177)(24, 171)(25, 176)(26, 197)(27, 150)(28, 163)(29, 162)(30, 202)(31, 208)(32, 205)(33, 152)(34, 186)(35, 199)(36, 183)(37, 201)(38, 211)(39, 154)(40, 172)(41, 182)(42, 156)(43, 173)(44, 190)(45, 215)(46, 157)(47, 159)(48, 170)(49, 213)(50, 191)(51, 216)(52, 166)(53, 192)(54, 196)(55, 164)(56, 181)(57, 200)(58, 206)(59, 214)(60, 175)(61, 169)(62, 174)(63, 203)(64, 204)(65, 193)(66, 195)(67, 185)(68, 189)(69, 209)(70, 207)(71, 212)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1501
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 6^24, 12^12 ]

E19.1526 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y2 * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (Y3^-1 * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3, Y2^6, Y3^-1 * Y2^2 * Y3 * Y2^-2, (Y3 * Y2 * Y1^-1)^2, (Y2 * Y3 * Y1^-1)^2, Y2^-2 * Y1 * Y2^-1 * Y3 * Y2 * Y1, Y1^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 19, 91)(6, 78, 22, 94, 8, 80)(7, 79, 26, 98, 9, 81)(10, 82, 32, 104, 20, 92)(11, 83, 36, 108, 21, 93)(13, 85, 41, 113, 44, 116)(14, 86, 46, 118, 37, 109)(16, 88, 50, 122, 38, 110)(18, 90, 53, 125, 35, 107)(23, 95, 30, 102, 62, 134)(24, 96, 63, 135, 59, 131)(25, 97, 58, 130, 60, 132)(27, 99, 56, 128, 64, 136)(28, 100, 61, 133, 66, 138)(29, 101, 54, 126, 52, 124)(31, 103, 49, 121, 40, 112)(33, 105, 57, 129, 42, 114)(34, 106, 51, 123, 69, 141)(39, 111, 68, 140, 48, 120)(43, 115, 65, 137, 72, 144)(45, 117, 55, 127, 70, 142)(47, 119, 67, 139, 71, 143)(145, 217, 147, 219, 157, 229, 186, 258, 168, 240, 150, 222)(146, 218, 152, 224, 172, 244, 194, 266, 178, 250, 154, 226)(148, 220, 162, 234, 187, 259, 169, 241, 195, 267, 160, 232)(149, 221, 164, 236, 199, 271, 206, 278, 183, 255, 156, 228)(151, 223, 167, 239, 189, 261, 158, 230, 191, 263, 171, 243)(153, 225, 175, 247, 209, 281, 179, 251, 212, 284, 174, 246)(155, 227, 177, 249, 188, 260, 173, 245, 211, 283, 181, 253)(159, 231, 192, 264, 197, 269, 163, 235, 198, 270, 185, 257)(161, 233, 182, 254, 210, 282, 200, 272, 215, 287, 196, 268)(165, 237, 202, 274, 216, 288, 184, 256, 207, 279, 201, 273)(166, 238, 203, 275, 193, 265, 170, 242, 208, 280, 205, 277)(176, 248, 213, 285, 204, 276, 180, 252, 190, 262, 214, 286)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 165)(6, 167)(7, 145)(8, 173)(9, 155)(10, 177)(11, 146)(12, 182)(13, 187)(14, 160)(15, 193)(16, 147)(17, 149)(18, 186)(19, 180)(20, 200)(21, 161)(22, 204)(23, 169)(24, 195)(25, 150)(26, 163)(27, 162)(28, 209)(29, 174)(30, 152)(31, 194)(32, 197)(33, 179)(34, 212)(35, 154)(36, 170)(37, 175)(38, 184)(39, 207)(40, 156)(41, 214)(42, 171)(43, 189)(44, 172)(45, 157)(46, 159)(47, 168)(48, 213)(49, 190)(50, 181)(51, 191)(52, 202)(53, 208)(54, 166)(55, 216)(56, 201)(57, 164)(58, 206)(59, 192)(60, 198)(61, 185)(62, 196)(63, 215)(64, 176)(65, 188)(66, 199)(67, 178)(68, 211)(69, 203)(70, 205)(71, 183)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1500
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 6^24, 12^12 ]

E19.1527 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y2^-1 * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y3)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^2 * Y1^-1 * Y2^-2, (Y1 * Y2^-1 * Y3^-1)^2, Y2^6, (Y1 * Y3^-1)^3, Y2^3 * Y3 * Y2 * Y1^-1, (Y2^-1 * Y1 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^2 * Y3 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 19, 91)(6, 78, 22, 94, 8, 80)(7, 79, 26, 98, 9, 81)(10, 82, 32, 104, 20, 92)(11, 83, 36, 108, 21, 93)(13, 85, 41, 113, 43, 115)(14, 86, 45, 117, 37, 109)(16, 88, 49, 121, 38, 110)(18, 90, 52, 124, 35, 107)(23, 95, 30, 102, 61, 133)(24, 96, 46, 118, 59, 131)(25, 97, 58, 130, 60, 132)(27, 99, 56, 128, 62, 134)(28, 100, 42, 114, 64, 136)(29, 101, 54, 126, 51, 123)(31, 103, 48, 120, 40, 112)(33, 105, 57, 129, 53, 125)(34, 106, 66, 138, 68, 140)(39, 111, 69, 141, 47, 119)(44, 116, 65, 137, 70, 142)(50, 122, 67, 139, 72, 144)(55, 127, 63, 135, 71, 143)(145, 217, 147, 219, 157, 229, 179, 251, 168, 240, 150, 222)(146, 218, 152, 224, 172, 244, 184, 256, 178, 250, 154, 226)(148, 220, 162, 234, 187, 259, 205, 277, 194, 266, 160, 232)(149, 221, 164, 236, 199, 271, 169, 241, 183, 255, 156, 228)(151, 223, 167, 239, 185, 257, 159, 231, 191, 263, 171, 243)(153, 225, 175, 247, 208, 280, 197, 269, 211, 283, 174, 246)(155, 227, 177, 249, 186, 258, 166, 238, 203, 275, 181, 253)(158, 230, 190, 262, 196, 268, 163, 235, 198, 270, 188, 260)(161, 233, 182, 254, 207, 279, 176, 248, 212, 284, 195, 267)(165, 237, 202, 274, 215, 287, 193, 265, 216, 288, 201, 273)(170, 242, 206, 278, 209, 281, 173, 245, 210, 282, 192, 264)(180, 252, 189, 261, 214, 286, 200, 272, 213, 285, 204, 276)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 165)(6, 167)(7, 145)(8, 173)(9, 155)(10, 177)(11, 146)(12, 182)(13, 186)(14, 160)(15, 192)(16, 147)(17, 149)(18, 197)(19, 180)(20, 200)(21, 161)(22, 204)(23, 169)(24, 183)(25, 150)(26, 163)(27, 162)(28, 207)(29, 174)(30, 152)(31, 193)(32, 196)(33, 179)(34, 168)(35, 154)(36, 170)(37, 175)(38, 184)(39, 178)(40, 156)(41, 214)(42, 188)(43, 215)(44, 157)(45, 159)(46, 212)(47, 211)(48, 189)(49, 181)(50, 190)(51, 202)(52, 206)(53, 171)(54, 166)(55, 185)(56, 201)(57, 164)(58, 205)(59, 216)(60, 198)(61, 195)(62, 176)(63, 209)(64, 187)(65, 172)(66, 191)(67, 210)(68, 194)(69, 203)(70, 199)(71, 208)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1502
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 6^24, 12^12 ]

E19.1528 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1)^3, (Y2 * Y1 * Y3)^2, Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2, Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y1 * Y2, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 16, 88)(6, 78, 8, 80)(7, 79, 21, 93)(9, 81, 26, 98)(12, 84, 33, 105)(13, 85, 25, 97)(14, 86, 28, 100)(15, 87, 23, 95)(17, 89, 42, 114)(18, 90, 24, 96)(19, 91, 46, 118)(20, 92, 49, 121)(22, 94, 39, 111)(27, 99, 38, 110)(29, 101, 34, 106)(30, 102, 48, 120)(31, 103, 56, 128)(32, 104, 50, 122)(35, 107, 54, 126)(36, 108, 58, 130)(37, 109, 52, 124)(40, 112, 66, 138)(41, 113, 51, 123)(43, 115, 61, 133)(44, 116, 53, 125)(45, 117, 68, 140)(47, 119, 60, 132)(55, 127, 71, 143)(57, 129, 63, 135)(59, 131, 70, 142)(62, 134, 64, 136)(65, 137, 67, 139)(69, 141, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 159, 231)(150, 222, 163, 235, 164, 236)(152, 224, 168, 240, 169, 241)(154, 226, 173, 245, 174, 246)(155, 227, 175, 247, 176, 248)(156, 228, 178, 250, 179, 251)(157, 229, 180, 252, 181, 253)(160, 232, 184, 256, 185, 257)(161, 233, 187, 259, 188, 260)(162, 234, 189, 261, 182, 254)(165, 237, 195, 267, 191, 263)(166, 238, 190, 262, 196, 268)(167, 239, 197, 269, 198, 270)(170, 242, 199, 271, 200, 272)(171, 243, 201, 273, 202, 274)(172, 244, 203, 275, 186, 258)(177, 249, 205, 277, 206, 278)(183, 255, 207, 279, 209, 281)(192, 264, 208, 280, 214, 286)(193, 265, 211, 283, 212, 284)(194, 266, 213, 285, 210, 282)(204, 276, 216, 288, 215, 287)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 161)(6, 145)(7, 166)(8, 154)(9, 171)(10, 146)(11, 169)(12, 157)(13, 147)(14, 182)(15, 183)(16, 168)(17, 162)(18, 149)(19, 191)(20, 194)(21, 159)(22, 167)(23, 151)(24, 186)(25, 177)(26, 158)(27, 172)(28, 153)(29, 176)(30, 204)(31, 201)(32, 193)(33, 155)(34, 164)(35, 207)(36, 199)(37, 195)(38, 170)(39, 165)(40, 211)(41, 196)(42, 160)(43, 181)(44, 209)(45, 213)(46, 174)(47, 192)(48, 163)(49, 173)(50, 178)(51, 187)(52, 205)(53, 184)(54, 175)(55, 208)(56, 179)(57, 198)(58, 206)(59, 216)(60, 190)(61, 185)(62, 215)(63, 200)(64, 180)(65, 210)(66, 188)(67, 197)(68, 203)(69, 214)(70, 189)(71, 202)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1529
Graph:: simple bipartite
	v = 60 e = 144 f = 48
	degree seq :: [ 4^36, 6^24 ]

E19.1529 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3^2 * Y2, Y3^-1 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1)^2, (Y3^-1 * Y1)^3, Y3^-1 * Y1^2 * Y3 * Y1^-2, Y1^6, Y2 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 19, 91, 5, 77)(3, 75, 11, 83, 35, 107, 59, 131, 24, 96, 13, 85)(4, 76, 15, 87, 25, 97, 61, 133, 49, 121, 16, 88)(6, 78, 21, 93, 26, 98, 62, 134, 54, 126, 22, 94)(8, 80, 27, 99, 17, 89, 51, 123, 55, 127, 29, 101)(9, 81, 31, 103, 56, 128, 53, 125, 18, 90, 32, 104)(10, 82, 33, 105, 57, 129, 46, 118, 20, 92, 34, 106)(12, 84, 39, 111, 69, 141, 64, 136, 58, 130, 40, 112)(14, 86, 44, 116, 70, 142, 72, 144, 60, 132, 30, 102)(28, 100, 66, 138, 52, 124, 42, 114, 71, 143, 37, 109)(36, 108, 63, 135, 41, 113, 50, 122, 68, 140, 47, 119)(38, 110, 45, 117, 67, 139, 48, 120, 43, 115, 65, 137)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 168, 240)(153, 225, 174, 246)(154, 226, 172, 244)(155, 227, 180, 252)(157, 229, 185, 257)(159, 231, 189, 261)(160, 232, 192, 264)(162, 234, 188, 260)(163, 235, 179, 251)(164, 236, 196, 268)(165, 237, 186, 258)(166, 238, 181, 253)(167, 239, 199, 271)(169, 241, 204, 276)(170, 242, 202, 274)(171, 243, 207, 279)(173, 245, 194, 266)(175, 247, 182, 254)(176, 248, 211, 283)(177, 249, 183, 255)(178, 250, 208, 280)(184, 256, 190, 262)(187, 259, 197, 269)(191, 263, 195, 267)(193, 265, 214, 286)(198, 270, 213, 285)(200, 272, 216, 288)(201, 273, 215, 287)(203, 275, 212, 284)(205, 277, 209, 281)(206, 278, 210, 282)
	L = (1, 148)(2, 153)(3, 156)(4, 150)(5, 162)(6, 145)(7, 169)(8, 172)(9, 154)(10, 146)(11, 181)(12, 158)(13, 186)(14, 147)(15, 190)(16, 177)(17, 196)(18, 164)(19, 193)(20, 149)(21, 185)(22, 180)(23, 200)(24, 202)(25, 170)(26, 151)(27, 208)(28, 174)(29, 183)(30, 152)(31, 166)(32, 206)(33, 194)(34, 207)(35, 213)(36, 175)(37, 182)(38, 155)(39, 192)(40, 189)(41, 197)(42, 187)(43, 157)(44, 161)(45, 195)(46, 191)(47, 159)(48, 173)(49, 198)(50, 160)(51, 184)(52, 188)(53, 165)(54, 163)(55, 215)(56, 201)(57, 167)(58, 204)(59, 210)(60, 168)(61, 178)(62, 212)(63, 205)(64, 209)(65, 171)(66, 211)(67, 203)(68, 176)(69, 214)(70, 179)(71, 216)(72, 199)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1528
Graph:: simple bipartite
	v = 48 e = 144 f = 60
	degree seq :: [ 4^36, 12^12 ]

E19.1530 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 6})
Quotient :: edge
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2^-1 * T1^-2, T1^6, T2^6, T1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2, T1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1, (T2 * T1 * T2^-1 * T1)^2, (T2^-1 * T1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 31, 17, 5)(2, 7, 22, 54, 26, 8)(4, 12, 36, 63, 39, 14)(6, 19, 48, 68, 51, 20)(9, 28, 61, 45, 25, 29)(11, 33, 65, 44, 38, 34)(13, 27, 59, 71, 66, 37)(15, 40, 23, 32, 64, 41)(16, 42, 35, 30, 62, 43)(18, 46, 60, 72, 67, 47)(21, 52, 69, 58, 50, 53)(24, 56, 49, 55, 70, 57)(73, 74, 78, 90, 85, 76)(75, 81, 99, 121, 91, 83)(77, 87, 109, 122, 92, 88)(79, 93, 84, 107, 118, 95)(80, 96, 86, 110, 119, 97)(82, 102, 120, 124, 131, 104)(89, 116, 123, 129, 138, 117)(94, 100, 132, 105, 108, 127)(98, 113, 139, 115, 111, 130)(101, 125, 106, 112, 128, 114)(103, 135, 143, 144, 140, 126)(133, 134, 142, 136, 137, 141)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E19.1531
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 6^24 ]

E19.1531 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 6})
Quotient :: loop
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2^-1 * T1^-2, T1^6, T2^6, T1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2, T1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1, (T2 * T1 * T2^-1 * T1)^2, (T2^-1 * T1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 10, 82, 31, 103, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 54, 126, 26, 98, 8, 80)(4, 76, 12, 84, 36, 108, 63, 135, 39, 111, 14, 86)(6, 78, 19, 91, 48, 120, 68, 140, 51, 123, 20, 92)(9, 81, 28, 100, 61, 133, 45, 117, 25, 97, 29, 101)(11, 83, 33, 105, 65, 137, 44, 116, 38, 110, 34, 106)(13, 85, 27, 99, 59, 131, 71, 143, 66, 138, 37, 109)(15, 87, 40, 112, 23, 95, 32, 104, 64, 136, 41, 113)(16, 88, 42, 114, 35, 107, 30, 102, 62, 134, 43, 115)(18, 90, 46, 118, 60, 132, 72, 144, 67, 139, 47, 119)(21, 93, 52, 124, 69, 141, 58, 130, 50, 122, 53, 125)(24, 96, 56, 128, 49, 121, 55, 127, 70, 142, 57, 129)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 99)(10, 102)(11, 75)(12, 107)(13, 76)(14, 110)(15, 109)(16, 77)(17, 116)(18, 85)(19, 83)(20, 88)(21, 84)(22, 100)(23, 79)(24, 86)(25, 80)(26, 113)(27, 121)(28, 132)(29, 125)(30, 120)(31, 135)(32, 82)(33, 108)(34, 112)(35, 118)(36, 127)(37, 122)(38, 119)(39, 130)(40, 128)(41, 139)(42, 101)(43, 111)(44, 123)(45, 89)(46, 95)(47, 97)(48, 124)(49, 91)(50, 92)(51, 129)(52, 131)(53, 106)(54, 103)(55, 94)(56, 114)(57, 138)(58, 98)(59, 104)(60, 105)(61, 134)(62, 142)(63, 143)(64, 137)(65, 141)(66, 117)(67, 115)(68, 126)(69, 133)(70, 136)(71, 144)(72, 140)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1530
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.1532 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y1^6, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y2 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y3 * Y2, Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y1^2 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, (Y3 * Y2)^6 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 47, 119, 33, 105, 11, 83)(5, 77, 15, 87, 42, 114, 46, 118, 45, 117, 16, 88)(7, 79, 21, 93, 52, 124, 39, 111, 34, 106, 23, 95)(8, 80, 24, 96, 56, 128, 38, 110, 44, 116, 25, 97)(10, 82, 26, 98, 49, 121, 69, 141, 61, 133, 31, 103)(12, 84, 35, 107, 29, 101, 20, 92, 50, 122, 37, 109)(14, 86, 40, 112, 43, 115, 19, 91, 48, 120, 41, 113)(17, 89, 22, 94, 51, 123, 68, 140, 66, 138, 36, 108)(28, 100, 58, 130, 71, 143, 65, 137, 62, 134, 55, 127)(30, 102, 59, 131, 53, 125, 72, 144, 67, 139, 60, 132)(32, 104, 63, 135, 54, 126, 57, 129, 70, 142, 64, 136)(145, 217, 147, 219, 154, 226, 174, 246, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 198, 270, 170, 242, 152, 224)(148, 220, 156, 228, 180, 252, 206, 278, 175, 247, 158, 230)(150, 222, 163, 235, 193, 265, 202, 274, 195, 267, 164, 236)(153, 225, 172, 244, 159, 231, 187, 259, 203, 275, 173, 245)(155, 227, 176, 248, 160, 232, 188, 260, 204, 276, 178, 250)(157, 229, 182, 254, 205, 277, 208, 280, 210, 282, 183, 255)(162, 234, 190, 262, 212, 284, 216, 288, 213, 285, 191, 263)(165, 237, 197, 269, 168, 240, 186, 258, 201, 273, 171, 243)(167, 239, 199, 271, 169, 241, 179, 251, 207, 279, 184, 256)(177, 249, 181, 253, 211, 283, 185, 257, 189, 261, 209, 281)(192, 264, 214, 286, 194, 266, 200, 272, 215, 287, 196, 268)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 167)(8, 169)(9, 147)(10, 175)(11, 177)(12, 181)(13, 162)(14, 185)(15, 149)(16, 189)(17, 180)(18, 150)(19, 187)(20, 173)(21, 151)(22, 161)(23, 178)(24, 152)(25, 188)(26, 154)(27, 153)(28, 199)(29, 179)(30, 204)(31, 205)(32, 208)(33, 191)(34, 183)(35, 156)(36, 210)(37, 194)(38, 200)(39, 196)(40, 158)(41, 192)(42, 159)(43, 184)(44, 182)(45, 190)(46, 186)(47, 171)(48, 163)(49, 170)(50, 164)(51, 166)(52, 165)(53, 203)(54, 207)(55, 206)(56, 168)(57, 198)(58, 172)(59, 174)(60, 211)(61, 213)(62, 209)(63, 176)(64, 214)(65, 215)(66, 212)(67, 216)(68, 195)(69, 193)(70, 201)(71, 202)(72, 197)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1533
Graph:: bipartite
	v = 24 e = 144 f = 84
	degree seq :: [ 12^24 ]

E19.1533 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3^-1 * Y2 * Y3^-2 * Y2^-1 * Y3^-1, Y2^6, Y2^2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2^-2 * Y3^-1, (Y3^-1 * Y2^-3)^2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 162, 234, 157, 229, 148, 220)(147, 219, 153, 225, 171, 243, 191, 263, 177, 249, 155, 227)(149, 221, 159, 231, 186, 258, 190, 262, 189, 261, 160, 232)(151, 223, 165, 237, 196, 268, 183, 255, 178, 250, 167, 239)(152, 224, 168, 240, 200, 272, 182, 254, 188, 260, 169, 241)(154, 226, 170, 242, 193, 265, 213, 285, 205, 277, 175, 247)(156, 228, 179, 251, 173, 245, 164, 236, 194, 266, 181, 253)(158, 230, 184, 256, 187, 259, 163, 235, 192, 264, 185, 257)(161, 233, 166, 238, 195, 267, 212, 284, 210, 282, 180, 252)(172, 244, 202, 274, 215, 287, 209, 281, 206, 278, 199, 271)(174, 246, 203, 275, 197, 269, 216, 288, 211, 283, 204, 276)(176, 248, 207, 279, 198, 270, 201, 273, 214, 286, 208, 280)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 174)(11, 176)(12, 180)(13, 182)(14, 148)(15, 187)(16, 188)(17, 149)(18, 190)(19, 193)(20, 150)(21, 197)(22, 198)(23, 199)(24, 186)(25, 179)(26, 152)(27, 165)(28, 159)(29, 153)(30, 161)(31, 158)(32, 160)(33, 181)(34, 155)(35, 207)(36, 206)(37, 211)(38, 205)(39, 157)(40, 167)(41, 189)(42, 201)(43, 203)(44, 204)(45, 209)(46, 212)(47, 162)(48, 214)(49, 202)(50, 200)(51, 164)(52, 192)(53, 168)(54, 170)(55, 169)(56, 215)(57, 171)(58, 195)(59, 173)(60, 178)(61, 208)(62, 175)(63, 184)(64, 210)(65, 177)(66, 183)(67, 185)(68, 216)(69, 191)(70, 194)(71, 196)(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) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1532
Graph:: simple bipartite
	v = 84 e = 144 f = 24
	degree seq :: [ 2^72, 12^12 ]

E19.1534 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 6})
Quotient :: edge
Aut^+ = C6 x A4 (small group id <72, 47>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^-2, T1^6, T2^6, T1 * T2^-2 * T1 * T2 * T1 * T2, T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, (T2^-1, T1)^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 17, 5)(2, 7, 22, 52, 26, 8)(4, 12, 35, 62, 39, 14)(6, 19, 49, 68, 51, 20)(9, 27, 59, 44, 38, 28)(11, 32, 65, 45, 24, 34)(13, 33, 64, 72, 66, 37)(15, 40, 36, 29, 61, 41)(16, 42, 21, 31, 63, 43)(18, 46, 60, 71, 67, 47)(23, 54, 70, 58, 50, 55)(25, 56, 48, 53, 69, 57)(73, 74, 78, 90, 85, 76)(75, 81, 91, 120, 105, 83)(77, 87, 92, 122, 109, 88)(79, 93, 118, 108, 84, 95)(80, 96, 119, 110, 86, 97)(82, 101, 121, 126, 136, 103)(89, 116, 123, 129, 138, 117)(94, 104, 132, 99, 107, 125)(98, 115, 139, 113, 111, 130)(100, 114, 128, 112, 106, 127)(102, 124, 140, 143, 144, 134)(131, 135, 141, 133, 137, 142)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E19.1535
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 6^24 ]

E19.1535 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 6})
Quotient :: loop
Aut^+ = C6 x A4 (small group id <72, 47>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^-2, T1^6, T2^6, T1 * T2^-2 * T1 * T2 * T1 * T2, T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, (T2^-1, T1)^2 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 30, 102, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 52, 124, 26, 98, 8, 80)(4, 76, 12, 84, 35, 107, 62, 134, 39, 111, 14, 86)(6, 78, 19, 91, 49, 121, 68, 140, 51, 123, 20, 92)(9, 81, 27, 99, 59, 131, 44, 116, 38, 110, 28, 100)(11, 83, 32, 104, 65, 137, 45, 117, 24, 96, 34, 106)(13, 85, 33, 105, 64, 136, 72, 144, 66, 138, 37, 109)(15, 87, 40, 112, 36, 108, 29, 101, 61, 133, 41, 113)(16, 88, 42, 114, 21, 93, 31, 103, 63, 135, 43, 115)(18, 90, 46, 118, 60, 132, 71, 143, 67, 139, 47, 119)(23, 95, 54, 126, 70, 142, 58, 130, 50, 122, 55, 127)(25, 97, 56, 128, 48, 120, 53, 125, 69, 141, 57, 129)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 91)(10, 101)(11, 75)(12, 95)(13, 76)(14, 97)(15, 92)(16, 77)(17, 116)(18, 85)(19, 120)(20, 122)(21, 118)(22, 104)(23, 79)(24, 119)(25, 80)(26, 115)(27, 107)(28, 114)(29, 121)(30, 124)(31, 82)(32, 132)(33, 83)(34, 127)(35, 125)(36, 84)(37, 88)(38, 86)(39, 130)(40, 106)(41, 111)(42, 128)(43, 139)(44, 123)(45, 89)(46, 108)(47, 110)(48, 105)(49, 126)(50, 109)(51, 129)(52, 140)(53, 94)(54, 136)(55, 100)(56, 112)(57, 138)(58, 98)(59, 135)(60, 99)(61, 137)(62, 102)(63, 141)(64, 103)(65, 142)(66, 117)(67, 113)(68, 143)(69, 133)(70, 131)(71, 144)(72, 134)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1534
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.1536 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x A4 (small group id <72, 47>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^2 * Y3^-1 * Y2^-2, (Y2^-1 * R * Y2^-1)^2, Y2^6, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, Y1^6, Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2 * Y2^-1, Y2 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1, Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3^-1, Y2 * Y1 * Y2 * Y1^-2 * Y2 * Y1, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 46, 118, 33, 105, 11, 83)(5, 77, 15, 87, 42, 114, 47, 119, 44, 116, 16, 88)(7, 79, 21, 93, 52, 124, 37, 109, 45, 117, 23, 95)(8, 80, 24, 96, 56, 128, 38, 110, 32, 104, 25, 97)(10, 82, 22, 94, 49, 121, 68, 140, 62, 134, 31, 103)(12, 84, 35, 107, 43, 115, 19, 91, 48, 120, 36, 108)(14, 86, 39, 111, 28, 100, 20, 92, 50, 122, 40, 112)(17, 89, 26, 98, 51, 123, 69, 141, 67, 139, 41, 113)(29, 101, 59, 131, 71, 143, 63, 135, 61, 133, 55, 127)(30, 102, 58, 130, 53, 125, 72, 144, 66, 138, 60, 132)(34, 106, 64, 136, 54, 126, 57, 129, 70, 142, 65, 137)(145, 217, 147, 219, 154, 226, 174, 246, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 198, 270, 170, 242, 152, 224)(148, 220, 156, 228, 175, 247, 205, 277, 185, 257, 158, 230)(150, 222, 163, 235, 193, 265, 203, 275, 195, 267, 164, 236)(153, 225, 172, 244, 202, 274, 187, 259, 159, 231, 173, 245)(155, 227, 176, 248, 204, 276, 189, 261, 160, 232, 178, 250)(157, 229, 181, 253, 206, 278, 209, 281, 211, 283, 182, 254)(162, 234, 190, 262, 212, 284, 216, 288, 213, 285, 191, 263)(165, 237, 186, 258, 201, 273, 171, 243, 168, 240, 197, 269)(167, 239, 183, 255, 208, 280, 179, 251, 169, 241, 199, 271)(177, 249, 184, 256, 210, 282, 180, 252, 188, 260, 207, 279)(192, 264, 200, 272, 215, 287, 196, 268, 194, 266, 214, 286)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 167)(8, 169)(9, 147)(10, 175)(11, 177)(12, 180)(13, 162)(14, 184)(15, 149)(16, 188)(17, 185)(18, 150)(19, 187)(20, 172)(21, 151)(22, 154)(23, 189)(24, 152)(25, 176)(26, 161)(27, 153)(28, 183)(29, 199)(30, 204)(31, 206)(32, 182)(33, 190)(34, 209)(35, 156)(36, 192)(37, 196)(38, 200)(39, 158)(40, 194)(41, 211)(42, 159)(43, 179)(44, 191)(45, 181)(46, 171)(47, 186)(48, 163)(49, 166)(50, 164)(51, 170)(52, 165)(53, 202)(54, 208)(55, 205)(56, 168)(57, 198)(58, 174)(59, 173)(60, 210)(61, 207)(62, 212)(63, 215)(64, 178)(65, 214)(66, 216)(67, 213)(68, 193)(69, 195)(70, 201)(71, 203)(72, 197)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1537
Graph:: bipartite
	v = 24 e = 144 f = 84
	degree seq :: [ 12^24 ]

E19.1537 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x A4 (small group id <72, 47>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y2^6, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2, Y2 * Y3 * Y2^-2 * Y3 * Y2 * Y3, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 162, 234, 157, 229, 148, 220)(147, 219, 153, 225, 171, 243, 190, 262, 177, 249, 155, 227)(149, 221, 159, 231, 186, 258, 191, 263, 188, 260, 160, 232)(151, 223, 165, 237, 196, 268, 181, 253, 189, 261, 167, 239)(152, 224, 168, 240, 200, 272, 182, 254, 176, 248, 169, 241)(154, 226, 166, 238, 193, 265, 212, 284, 206, 278, 175, 247)(156, 228, 179, 251, 187, 259, 163, 235, 192, 264, 180, 252)(158, 230, 183, 255, 172, 244, 164, 236, 194, 266, 184, 256)(161, 233, 170, 242, 195, 267, 213, 285, 211, 283, 185, 257)(173, 245, 203, 275, 215, 287, 207, 279, 205, 277, 199, 271)(174, 246, 202, 274, 197, 269, 216, 288, 210, 282, 204, 276)(178, 250, 208, 280, 198, 270, 201, 273, 214, 286, 209, 281)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 174)(11, 176)(12, 175)(13, 181)(14, 148)(15, 173)(16, 178)(17, 149)(18, 190)(19, 193)(20, 150)(21, 186)(22, 198)(23, 183)(24, 197)(25, 199)(26, 152)(27, 168)(28, 202)(29, 153)(30, 161)(31, 205)(32, 204)(33, 184)(34, 155)(35, 169)(36, 188)(37, 206)(38, 157)(39, 208)(40, 210)(41, 158)(42, 201)(43, 159)(44, 207)(45, 160)(46, 212)(47, 162)(48, 200)(49, 203)(50, 214)(51, 164)(52, 194)(53, 165)(54, 170)(55, 167)(56, 215)(57, 171)(58, 187)(59, 195)(60, 189)(61, 185)(62, 209)(63, 177)(64, 179)(65, 211)(66, 180)(67, 182)(68, 216)(69, 191)(70, 192)(71, 196)(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) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1536
Graph:: simple bipartite
	v = 84 e = 144 f = 24
	degree seq :: [ 2^72, 12^12 ]

E19.1538 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C3 x C3) : C8 (small group id <72, 19>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 117>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2^-1 * T1, T1^-2 * T2^4, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2 * T1 * T2^-2 * T1 * T2^2 * T1^-1 * T2, T1 * T2^2 * T1^-1 * T2^2 * T1 * T2^-2, T1 * T2^2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2, (T2^-1 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 6, 17, 16, 5)(2, 7, 20, 13, 4, 12, 24, 8)(9, 25, 45, 30, 11, 29, 48, 26)(14, 31, 54, 34, 15, 33, 56, 32)(19, 35, 57, 40, 21, 39, 60, 36)(22, 41, 62, 44, 23, 43, 64, 42)(27, 49, 38, 52, 28, 51, 37, 50)(46, 65, 63, 68, 47, 67, 61, 66)(53, 69, 59, 72, 55, 70, 58, 71)(73, 74, 78, 76)(75, 81, 89, 83)(77, 86, 90, 87)(79, 91, 84, 93)(80, 94, 85, 95)(82, 99, 88, 100)(92, 109, 96, 110)(97, 116, 101, 114)(98, 118, 102, 119)(103, 125, 105, 127)(104, 111, 106, 107)(108, 130, 112, 131)(113, 133, 115, 135)(117, 126, 120, 128)(121, 140, 123, 138)(122, 141, 124, 142)(129, 134, 132, 136)(137, 143, 139, 144)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1540
Transitivity :: ET+
Graph:: bipartite
	v = 27 e = 72 f = 9
	degree seq :: [ 4^18, 8^9 ]

E19.1539 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C3 x C3) : C8 (small group id <72, 19>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 117>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, T1^-2 * T2^-4, T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2, T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 6, 17, 16, 5)(2, 7, 20, 13, 4, 12, 24, 8)(9, 25, 45, 30, 11, 29, 48, 26)(14, 31, 54, 34, 15, 33, 56, 32)(19, 35, 57, 40, 21, 39, 60, 36)(22, 41, 62, 44, 23, 43, 64, 42)(27, 49, 37, 52, 28, 51, 38, 50)(46, 65, 61, 68, 47, 67, 63, 66)(53, 69, 58, 72, 55, 70, 59, 71)(73, 74, 78, 76)(75, 81, 89, 83)(77, 86, 90, 87)(79, 91, 84, 93)(80, 94, 85, 95)(82, 99, 88, 100)(92, 109, 96, 110)(97, 116, 101, 114)(98, 118, 102, 119)(103, 125, 105, 127)(104, 111, 106, 107)(108, 130, 112, 131)(113, 133, 115, 135)(117, 128, 120, 126)(121, 140, 123, 138)(122, 141, 124, 142)(129, 136, 132, 134)(137, 144, 139, 143)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1541
Transitivity :: ET+
Graph:: bipartite
	v = 27 e = 72 f = 9
	degree seq :: [ 4^18, 8^9 ]

E19.1540 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C3 x C3) : C8 (small group id <72, 19>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 117>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2^-1 * T1, T1^-2 * T2^4, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2 * T1 * T2^-2 * T1 * T2^2 * T1^-1 * T2, T1 * T2^2 * T1^-1 * T2^2 * T1 * T2^-2, T1 * T2^2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2, (T2^-1 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 18, 90, 6, 78, 17, 89, 16, 88, 5, 77)(2, 74, 7, 79, 20, 92, 13, 85, 4, 76, 12, 84, 24, 96, 8, 80)(9, 81, 25, 97, 45, 117, 30, 102, 11, 83, 29, 101, 48, 120, 26, 98)(14, 86, 31, 103, 54, 126, 34, 106, 15, 87, 33, 105, 56, 128, 32, 104)(19, 91, 35, 107, 57, 129, 40, 112, 21, 93, 39, 111, 60, 132, 36, 108)(22, 94, 41, 113, 62, 134, 44, 116, 23, 95, 43, 115, 64, 136, 42, 114)(27, 99, 49, 121, 38, 110, 52, 124, 28, 100, 51, 123, 37, 109, 50, 122)(46, 118, 65, 137, 63, 135, 68, 140, 47, 119, 67, 139, 61, 133, 66, 138)(53, 125, 69, 141, 59, 131, 72, 144, 55, 127, 70, 142, 58, 130, 71, 143)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 91)(8, 94)(9, 89)(10, 99)(11, 75)(12, 93)(13, 95)(14, 90)(15, 77)(16, 100)(17, 83)(18, 87)(19, 84)(20, 109)(21, 79)(22, 85)(23, 80)(24, 110)(25, 116)(26, 118)(27, 88)(28, 82)(29, 114)(30, 119)(31, 125)(32, 111)(33, 127)(34, 107)(35, 104)(36, 130)(37, 96)(38, 92)(39, 106)(40, 131)(41, 133)(42, 97)(43, 135)(44, 101)(45, 126)(46, 102)(47, 98)(48, 128)(49, 140)(50, 141)(51, 138)(52, 142)(53, 105)(54, 120)(55, 103)(56, 117)(57, 134)(58, 112)(59, 108)(60, 136)(61, 115)(62, 132)(63, 113)(64, 129)(65, 143)(66, 121)(67, 144)(68, 123)(69, 124)(70, 122)(71, 139)(72, 137)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1538
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 72 f = 27
	degree seq :: [ 16^9 ]

E19.1541 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C3 x C3) : C8 (small group id <72, 19>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 117>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, T1^-2 * T2^-4, T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2, T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 18, 90, 6, 78, 17, 89, 16, 88, 5, 77)(2, 74, 7, 79, 20, 92, 13, 85, 4, 76, 12, 84, 24, 96, 8, 80)(9, 81, 25, 97, 45, 117, 30, 102, 11, 83, 29, 101, 48, 120, 26, 98)(14, 86, 31, 103, 54, 126, 34, 106, 15, 87, 33, 105, 56, 128, 32, 104)(19, 91, 35, 107, 57, 129, 40, 112, 21, 93, 39, 111, 60, 132, 36, 108)(22, 94, 41, 113, 62, 134, 44, 116, 23, 95, 43, 115, 64, 136, 42, 114)(27, 99, 49, 121, 37, 109, 52, 124, 28, 100, 51, 123, 38, 110, 50, 122)(46, 118, 65, 137, 61, 133, 68, 140, 47, 119, 67, 139, 63, 135, 66, 138)(53, 125, 69, 141, 58, 130, 72, 144, 55, 127, 70, 142, 59, 131, 71, 143)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 91)(8, 94)(9, 89)(10, 99)(11, 75)(12, 93)(13, 95)(14, 90)(15, 77)(16, 100)(17, 83)(18, 87)(19, 84)(20, 109)(21, 79)(22, 85)(23, 80)(24, 110)(25, 116)(26, 118)(27, 88)(28, 82)(29, 114)(30, 119)(31, 125)(32, 111)(33, 127)(34, 107)(35, 104)(36, 130)(37, 96)(38, 92)(39, 106)(40, 131)(41, 133)(42, 97)(43, 135)(44, 101)(45, 128)(46, 102)(47, 98)(48, 126)(49, 140)(50, 141)(51, 138)(52, 142)(53, 105)(54, 117)(55, 103)(56, 120)(57, 136)(58, 112)(59, 108)(60, 134)(61, 115)(62, 129)(63, 113)(64, 132)(65, 144)(66, 121)(67, 143)(68, 123)(69, 124)(70, 122)(71, 137)(72, 139)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1539
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 72 f = 27
	degree seq :: [ 16^9 ]

E19.1542 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x C3) : C8 (small group id <72, 19>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 117>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^3 * Y3^-1, Y3 * Y2^-1 * Y3^-1 * R * Y2^-1 * R, Y2 * Y1^-2 * Y2^-1 * Y1^-1 * Y3, Y2^4 * Y3^-1 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2, Y3 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 * Y2^-2, Y3 * Y2 * Y1^-1 * Y2^-1 * R * Y2^-2 * R * Y2^-1 * Y3^-1 * Y2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 17, 89, 11, 83)(5, 77, 14, 86, 18, 90, 15, 87)(7, 79, 19, 91, 12, 84, 21, 93)(8, 80, 22, 94, 13, 85, 23, 95)(10, 82, 27, 99, 16, 88, 28, 100)(20, 92, 37, 109, 24, 96, 38, 110)(25, 97, 44, 116, 29, 101, 42, 114)(26, 98, 46, 118, 30, 102, 47, 119)(31, 103, 53, 125, 33, 105, 55, 127)(32, 104, 39, 111, 34, 106, 35, 107)(36, 108, 58, 130, 40, 112, 59, 131)(41, 113, 61, 133, 43, 115, 63, 135)(45, 117, 56, 128, 48, 120, 54, 126)(49, 121, 68, 140, 51, 123, 66, 138)(50, 122, 69, 141, 52, 124, 70, 142)(57, 129, 64, 136, 60, 132, 62, 134)(65, 137, 72, 144, 67, 139, 71, 143)(145, 217, 147, 219, 154, 226, 162, 234, 150, 222, 161, 233, 160, 232, 149, 221)(146, 218, 151, 223, 164, 236, 157, 229, 148, 220, 156, 228, 168, 240, 152, 224)(153, 225, 169, 241, 189, 261, 174, 246, 155, 227, 173, 245, 192, 264, 170, 242)(158, 230, 175, 247, 198, 270, 178, 250, 159, 231, 177, 249, 200, 272, 176, 248)(163, 235, 179, 251, 201, 273, 184, 256, 165, 237, 183, 255, 204, 276, 180, 252)(166, 238, 185, 257, 206, 278, 188, 260, 167, 239, 187, 259, 208, 280, 186, 258)(171, 243, 193, 265, 181, 253, 196, 268, 172, 244, 195, 267, 182, 254, 194, 266)(190, 262, 209, 281, 205, 277, 212, 284, 191, 263, 211, 283, 207, 279, 210, 282)(197, 269, 213, 285, 202, 274, 216, 288, 199, 271, 214, 286, 203, 275, 215, 287)
	L = (1, 148)(2, 145)(3, 155)(4, 150)(5, 159)(6, 146)(7, 165)(8, 167)(9, 147)(10, 172)(11, 161)(12, 163)(13, 166)(14, 149)(15, 162)(16, 171)(17, 153)(18, 158)(19, 151)(20, 182)(21, 156)(22, 152)(23, 157)(24, 181)(25, 186)(26, 191)(27, 154)(28, 160)(29, 188)(30, 190)(31, 199)(32, 179)(33, 197)(34, 183)(35, 178)(36, 203)(37, 164)(38, 168)(39, 176)(40, 202)(41, 207)(42, 173)(43, 205)(44, 169)(45, 198)(46, 170)(47, 174)(48, 200)(49, 210)(50, 214)(51, 212)(52, 213)(53, 175)(54, 192)(55, 177)(56, 189)(57, 206)(58, 180)(59, 184)(60, 208)(61, 185)(62, 204)(63, 187)(64, 201)(65, 215)(66, 195)(67, 216)(68, 193)(69, 194)(70, 196)(71, 211)(72, 209)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 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 E19.1545
Graph:: bipartite
	v = 27 e = 144 f = 81
	degree seq :: [ 8^18, 16^9 ]

E19.1543 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x C3) : C8 (small group id <72, 19>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 117>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, Y1^-1 * Y3^2 * Y1^-1, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y3^-1 * R * Y2^-1 * R, Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y2 * Y1^2 * Y2^3, Y1 * Y2^-2 * Y3^-1 * Y1^-1 * Y2^-2 * Y1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y1^-1 * Y2^-2 * Y1^-1 * Y2^2 * Y1 * Y2^-2, Y2^-1 * R * Y2^-2 * R * Y2^-2 * Y3 * Y2^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 17, 89, 11, 83)(5, 77, 14, 86, 18, 90, 15, 87)(7, 79, 19, 91, 12, 84, 21, 93)(8, 80, 22, 94, 13, 85, 23, 95)(10, 82, 27, 99, 16, 88, 28, 100)(20, 92, 37, 109, 24, 96, 38, 110)(25, 97, 44, 116, 29, 101, 42, 114)(26, 98, 46, 118, 30, 102, 47, 119)(31, 103, 53, 125, 33, 105, 55, 127)(32, 104, 39, 111, 34, 106, 35, 107)(36, 108, 58, 130, 40, 112, 59, 131)(41, 113, 61, 133, 43, 115, 63, 135)(45, 117, 54, 126, 48, 120, 56, 128)(49, 121, 68, 140, 51, 123, 66, 138)(50, 122, 69, 141, 52, 124, 70, 142)(57, 129, 62, 134, 60, 132, 64, 136)(65, 137, 71, 143, 67, 139, 72, 144)(145, 217, 147, 219, 154, 226, 162, 234, 150, 222, 161, 233, 160, 232, 149, 221)(146, 218, 151, 223, 164, 236, 157, 229, 148, 220, 156, 228, 168, 240, 152, 224)(153, 225, 169, 241, 189, 261, 174, 246, 155, 227, 173, 245, 192, 264, 170, 242)(158, 230, 175, 247, 198, 270, 178, 250, 159, 231, 177, 249, 200, 272, 176, 248)(163, 235, 179, 251, 201, 273, 184, 256, 165, 237, 183, 255, 204, 276, 180, 252)(166, 238, 185, 257, 206, 278, 188, 260, 167, 239, 187, 259, 208, 280, 186, 258)(171, 243, 193, 265, 182, 254, 196, 268, 172, 244, 195, 267, 181, 253, 194, 266)(190, 262, 209, 281, 207, 279, 212, 284, 191, 263, 211, 283, 205, 277, 210, 282)(197, 269, 213, 285, 203, 275, 216, 288, 199, 271, 214, 286, 202, 274, 215, 287)
	L = (1, 148)(2, 145)(3, 155)(4, 150)(5, 159)(6, 146)(7, 165)(8, 167)(9, 147)(10, 172)(11, 161)(12, 163)(13, 166)(14, 149)(15, 162)(16, 171)(17, 153)(18, 158)(19, 151)(20, 182)(21, 156)(22, 152)(23, 157)(24, 181)(25, 186)(26, 191)(27, 154)(28, 160)(29, 188)(30, 190)(31, 199)(32, 179)(33, 197)(34, 183)(35, 178)(36, 203)(37, 164)(38, 168)(39, 176)(40, 202)(41, 207)(42, 173)(43, 205)(44, 169)(45, 200)(46, 170)(47, 174)(48, 198)(49, 210)(50, 214)(51, 212)(52, 213)(53, 175)(54, 189)(55, 177)(56, 192)(57, 208)(58, 180)(59, 184)(60, 206)(61, 185)(62, 201)(63, 187)(64, 204)(65, 216)(66, 195)(67, 215)(68, 193)(69, 194)(70, 196)(71, 209)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 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 E19.1544
Graph:: bipartite
	v = 27 e = 144 f = 81
	degree seq :: [ 8^18, 16^9 ]

E19.1544 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x C3) : C8 (small group id <72, 19>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 117>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^2 * Y1^-2, (Y3 * Y2^-1)^4, Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1^-2 * Y3^-1 * Y1, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 17, 89, 10, 82, 21, 93, 13, 85, 4, 76)(3, 75, 9, 81, 25, 97, 16, 88, 5, 77, 15, 87, 29, 101, 11, 83)(7, 79, 20, 92, 39, 111, 24, 96, 8, 80, 23, 95, 43, 115, 22, 94)(12, 84, 31, 103, 53, 125, 34, 106, 14, 86, 33, 105, 56, 128, 32, 104)(18, 90, 35, 107, 46, 118, 38, 110, 19, 91, 37, 109, 45, 117, 36, 108)(26, 98, 47, 119, 65, 137, 50, 122, 27, 99, 49, 121, 67, 139, 48, 120)(28, 100, 51, 123, 61, 133, 40, 112, 30, 102, 52, 124, 62, 134, 41, 113)(42, 114, 63, 135, 70, 142, 57, 129, 44, 116, 64, 136, 69, 141, 58, 130)(54, 126, 59, 131, 68, 140, 72, 144, 55, 127, 60, 132, 66, 138, 71, 143)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 162)(7, 165)(8, 146)(9, 170)(10, 149)(11, 172)(12, 161)(13, 163)(14, 148)(15, 171)(16, 174)(17, 158)(18, 157)(19, 150)(20, 184)(21, 152)(22, 186)(23, 185)(24, 188)(25, 189)(26, 159)(27, 153)(28, 160)(29, 190)(30, 155)(31, 198)(32, 193)(33, 199)(34, 191)(35, 201)(36, 203)(37, 202)(38, 204)(39, 197)(40, 167)(41, 164)(42, 168)(43, 200)(44, 166)(45, 173)(46, 169)(47, 176)(48, 210)(49, 178)(50, 212)(51, 213)(52, 214)(53, 187)(54, 177)(55, 175)(56, 183)(57, 181)(58, 179)(59, 182)(60, 180)(61, 211)(62, 209)(63, 215)(64, 216)(65, 205)(66, 194)(67, 206)(68, 192)(69, 196)(70, 195)(71, 208)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1543
Graph:: simple bipartite
	v = 81 e = 144 f = 27
	degree seq :: [ 2^72, 16^9 ]

E19.1545 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x C3) : C8 (small group id <72, 19>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 117>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, Y3^4, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y3^-2 * Y1^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 17, 89, 10, 82, 21, 93, 13, 85, 4, 76)(3, 75, 9, 81, 25, 97, 16, 88, 5, 77, 15, 87, 29, 101, 11, 83)(7, 79, 20, 92, 39, 111, 24, 96, 8, 80, 23, 95, 43, 115, 22, 94)(12, 84, 31, 103, 53, 125, 34, 106, 14, 86, 33, 105, 56, 128, 32, 104)(18, 90, 35, 107, 45, 117, 38, 110, 19, 91, 37, 109, 46, 118, 36, 108)(26, 98, 47, 119, 65, 137, 50, 122, 27, 99, 49, 121, 67, 139, 48, 120)(28, 100, 51, 123, 61, 133, 40, 112, 30, 102, 52, 124, 62, 134, 41, 113)(42, 114, 63, 135, 69, 141, 57, 129, 44, 116, 64, 136, 70, 142, 58, 130)(54, 126, 59, 131, 66, 138, 72, 144, 55, 127, 60, 132, 68, 140, 71, 143)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 162)(7, 165)(8, 146)(9, 170)(10, 149)(11, 172)(12, 161)(13, 163)(14, 148)(15, 171)(16, 174)(17, 158)(18, 157)(19, 150)(20, 184)(21, 152)(22, 186)(23, 185)(24, 188)(25, 189)(26, 159)(27, 153)(28, 160)(29, 190)(30, 155)(31, 198)(32, 193)(33, 199)(34, 191)(35, 201)(36, 203)(37, 202)(38, 204)(39, 200)(40, 167)(41, 164)(42, 168)(43, 197)(44, 166)(45, 173)(46, 169)(47, 176)(48, 210)(49, 178)(50, 212)(51, 213)(52, 214)(53, 183)(54, 177)(55, 175)(56, 187)(57, 181)(58, 179)(59, 182)(60, 180)(61, 209)(62, 211)(63, 216)(64, 215)(65, 206)(66, 194)(67, 205)(68, 192)(69, 196)(70, 195)(71, 207)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1542
Graph:: simple bipartite
	v = 81 e = 144 f = 27
	degree seq :: [ 2^72, 16^9 ]

E19.1546 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = (C3 x C3) : C8 (small group id <72, 39>)
|r| :: 1
Presentation :: [ X1^4, (X2^-1 * X1^-1 * X2^-1)^2, X1^2 * X2^-1 * X1 * X2^3, X2 * X1^-2 * X2^2 * X1^-1 * X2 * X1, X2^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 25, 11)(5, 14, 38, 15)(7, 19, 48, 21)(8, 22, 53, 23)(10, 28, 41, 30)(12, 33, 29, 35)(13, 36, 58, 37)(16, 42, 51, 20)(17, 44, 64, 46)(18, 43, 69, 47)(24, 55, 26, 45)(27, 57, 66, 40)(31, 60, 59, 61)(32, 62, 54, 50)(34, 39, 65, 49)(52, 70, 56, 63)(67, 68, 71, 72)(73, 75, 82, 101, 131, 115, 88, 77)(74, 79, 92, 97, 128, 108, 96, 80)(76, 84, 106, 136, 126, 94, 100, 85)(78, 89, 117, 120, 112, 86, 111, 90)(81, 98, 87, 113, 139, 134, 130, 99)(83, 103, 93, 124, 118, 129, 107, 104)(91, 121, 95, 114, 140, 132, 110, 122)(102, 119, 127, 143, 142, 125, 133, 116)(105, 123, 109, 137, 144, 138, 141, 135)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 27 e = 72 f = 9
	degree seq :: [ 4^18, 8^9 ]

E19.1547 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = (C3 x C3) : C8 (small group id <72, 39>)
|r| :: 1
Presentation :: [ X1^4, X1^4, (X2^-2 * X1)^2, (X2^-2 * X1)^2, X1^2 * X2^-3 * X1 * X2, X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2^-2 * X1^-1, X2^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 25, 11)(5, 14, 38, 15)(7, 19, 29, 21)(8, 22, 53, 23)(10, 28, 39, 24)(12, 32, 62, 34)(13, 35, 64, 36)(16, 33, 51, 42)(17, 44, 50, 46)(18, 47, 69, 43)(20, 49, 54, 40)(26, 56, 60, 57)(27, 58, 65, 59)(30, 61, 37, 45)(31, 41, 67, 48)(52, 55, 71, 63)(66, 70, 72, 68)(73, 75, 82, 101, 132, 115, 88, 77)(74, 79, 92, 122, 137, 108, 96, 80)(76, 84, 105, 97, 127, 95, 109, 85)(78, 89, 117, 134, 113, 87, 112, 90)(81, 98, 104, 135, 116, 120, 91, 99)(83, 102, 86, 111, 138, 131, 125, 103)(93, 123, 94, 126, 142, 139, 141, 124)(100, 119, 133, 144, 143, 136, 128, 118)(106, 121, 107, 114, 140, 129, 110, 130)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: chiral
Dual of E19.1548
Transitivity :: ET+
Graph:: simple bipartite
	v = 27 e = 72 f = 9
	degree seq :: [ 4^18, 8^9 ]

E19.1548 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = (C3 x C3) : C8 (small group id <72, 39>)
|r| :: 1
Presentation :: [ X1 * X2 * X1^-1 * X2^-2 * X1, (X2 * X1^-1)^3, X2 * X1^2 * X2^-2 * X1 * X2^-1 * X1^-1, X2 * X1^-1 * X2^-1 * X1 * X2^2 * X1^-2, X1^8, (X2^-1 * X1^-1)^4, X2^8 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 18, 90, 46, 118, 36, 108, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 55, 127, 43, 115, 64, 136, 32, 104, 11, 83)(5, 77, 15, 87, 29, 101, 58, 130, 22, 94, 47, 119, 40, 112, 16, 88)(7, 79, 21, 93, 54, 126, 37, 109, 62, 134, 42, 114, 59, 131, 23, 95)(8, 80, 24, 96, 56, 128, 70, 142, 50, 122, 44, 116, 17, 89, 25, 97)(10, 82, 19, 91, 49, 121, 39, 111, 14, 86, 38, 110, 61, 133, 31, 103)(12, 84, 34, 106, 60, 132, 28, 100, 57, 129, 45, 117, 66, 138, 35, 107)(20, 92, 51, 123, 69, 141, 72, 144, 68, 140, 63, 135, 26, 98, 52, 124)(30, 102, 65, 137, 71, 143, 67, 139, 33, 105, 53, 125, 41, 113, 48, 120)
	L = (1, 75)(2, 79)(3, 82)(4, 84)(5, 73)(6, 91)(7, 94)(8, 74)(9, 100)(10, 102)(11, 96)(12, 95)(13, 105)(14, 76)(15, 113)(16, 114)(17, 77)(18, 119)(19, 122)(20, 78)(21, 127)(22, 129)(23, 123)(24, 132)(25, 133)(26, 80)(27, 137)(28, 118)(29, 81)(30, 126)(31, 130)(32, 131)(33, 83)(34, 120)(35, 87)(36, 135)(37, 85)(38, 124)(39, 136)(40, 86)(41, 128)(42, 125)(43, 88)(44, 139)(45, 89)(46, 116)(47, 140)(48, 90)(49, 109)(50, 115)(51, 99)(52, 101)(53, 92)(54, 117)(55, 108)(56, 93)(57, 111)(58, 142)(59, 103)(60, 141)(61, 106)(62, 97)(63, 107)(64, 98)(65, 112)(66, 104)(67, 110)(68, 134)(69, 121)(70, 144)(71, 138)(72, 143)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: chiral
Dual of E19.1547
Transitivity :: ET+ VT+
Graph::
	v = 9 e = 72 f = 27
	degree seq :: [ 16^9 ]

E19.1549 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = (C3 x C3) : C8 (small group id <72, 39>)
|r| :: 1
Presentation :: [ (X1^-1 * X2)^2, X1^-1 * X2^-1 * X1^-1 * X2^2 * X1^-1 * X2^-2, X2 * X1^2 * X2 * X1^2 * X2^-1 * X1^-1, X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-3, X2^8, X1^8 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 16, 88, 40, 112, 31, 103, 12, 84, 4, 76)(3, 75, 9, 81, 23, 95, 57, 129, 68, 140, 53, 125, 21, 93, 8, 80)(5, 77, 11, 83, 28, 100, 54, 126, 70, 142, 46, 118, 36, 108, 14, 86)(7, 79, 19, 91, 47, 119, 39, 111, 64, 136, 69, 141, 45, 117, 18, 90)(10, 82, 26, 98, 59, 131, 71, 143, 63, 135, 66, 138, 41, 113, 25, 97)(13, 85, 30, 102, 48, 120, 37, 109, 55, 127, 22, 94, 52, 124, 33, 105)(15, 87, 35, 107, 51, 123, 32, 104, 58, 130, 24, 96, 44, 116, 38, 110)(17, 89, 43, 115, 29, 101, 56, 128, 72, 144, 62, 134, 67, 139, 42, 114)(20, 92, 50, 122, 34, 106, 60, 132, 27, 99, 61, 133, 65, 137, 49, 121)
	L = (1, 75)(2, 79)(3, 82)(4, 83)(5, 73)(6, 89)(7, 92)(8, 74)(9, 96)(10, 99)(11, 101)(12, 102)(13, 76)(14, 107)(15, 77)(16, 113)(17, 116)(18, 78)(19, 120)(20, 123)(21, 124)(22, 80)(23, 117)(24, 115)(25, 81)(26, 118)(27, 134)(28, 121)(29, 135)(30, 119)(31, 130)(32, 84)(33, 132)(34, 85)(35, 122)(36, 127)(37, 86)(38, 136)(39, 87)(40, 137)(41, 109)(42, 88)(43, 100)(44, 105)(45, 108)(46, 90)(47, 139)(48, 97)(49, 91)(50, 140)(51, 143)(52, 110)(53, 142)(54, 93)(55, 144)(56, 94)(57, 106)(58, 95)(59, 104)(60, 98)(61, 103)(62, 111)(63, 141)(64, 138)(65, 126)(66, 112)(67, 125)(68, 114)(69, 129)(70, 131)(71, 128)(72, 133)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 9 e = 72 f = 27
	degree seq :: [ 16^9 ]

E19.1550 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2)^2, F * T2 * F * T1, T2 * T1 * T2^2 * T1^-1 * T2^-1 * T1^-2, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-2 * T1^-2)^2, T2^8, T1^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 62, 39, 15, 5)(2, 7, 20, 51, 71, 56, 22, 8)(4, 11, 29, 63, 69, 57, 34, 13)(6, 17, 44, 33, 60, 26, 46, 18)(9, 24, 43, 28, 49, 19, 48, 25)(12, 30, 47, 67, 53, 70, 59, 32)(14, 35, 50, 68, 42, 16, 41, 37)(21, 52, 38, 64, 66, 40, 65, 54)(23, 45, 36, 55, 72, 61, 31, 58)(73, 74, 78, 88, 112, 103, 84, 76)(75, 81, 95, 129, 140, 125, 93, 80)(77, 83, 100, 126, 142, 118, 108, 86)(79, 91, 119, 111, 136, 141, 117, 90)(82, 98, 131, 143, 135, 138, 113, 97)(85, 102, 120, 109, 127, 94, 124, 105)(87, 107, 123, 104, 130, 96, 116, 110)(89, 115, 101, 128, 144, 134, 139, 114)(92, 122, 106, 132, 99, 133, 137, 121)
	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) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1551
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.1551 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ F^2, (F * T2^-1)^2, T2^4, F * T1 * F * T2^-1 * T1^-1, (T1^2 * T2)^2, T1^3 * T2^2 * T1^-1 * T2, T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, (F * T2 * T1^2)^2, T1^8 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 10, 82, 5, 77)(2, 74, 7, 79, 21, 93, 8, 80)(4, 76, 12, 84, 34, 106, 14, 86)(6, 78, 18, 90, 38, 110, 19, 91)(9, 81, 26, 98, 58, 130, 27, 99)(11, 83, 30, 102, 61, 133, 32, 104)(13, 85, 36, 108, 56, 128, 25, 97)(15, 87, 40, 112, 17, 89, 41, 113)(16, 88, 42, 114, 51, 123, 43, 115)(20, 92, 47, 119, 31, 103, 48, 120)(22, 94, 50, 122, 64, 136, 35, 107)(23, 95, 52, 124, 44, 116, 53, 125)(24, 96, 54, 126, 62, 134, 55, 127)(28, 100, 46, 118, 68, 140, 60, 132)(29, 101, 37, 109, 66, 138, 45, 117)(33, 105, 63, 135, 57, 129, 39, 111)(49, 121, 69, 141, 59, 131, 71, 143)(65, 137, 70, 142, 72, 144, 67, 139)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 89)(7, 92)(8, 95)(9, 97)(10, 100)(11, 75)(12, 105)(13, 76)(14, 110)(15, 111)(16, 77)(17, 116)(18, 88)(19, 117)(20, 86)(21, 121)(22, 79)(23, 99)(24, 80)(25, 93)(26, 129)(27, 131)(28, 119)(29, 82)(30, 90)(31, 83)(32, 108)(33, 101)(34, 127)(35, 84)(36, 137)(37, 85)(38, 139)(39, 140)(40, 128)(41, 96)(42, 103)(43, 135)(44, 109)(45, 120)(46, 91)(47, 130)(48, 142)(49, 114)(50, 113)(51, 94)(52, 106)(53, 118)(54, 123)(55, 98)(56, 115)(57, 104)(58, 107)(59, 132)(60, 122)(61, 125)(62, 102)(63, 144)(64, 138)(65, 124)(66, 141)(67, 126)(68, 134)(69, 112)(70, 143)(71, 133)(72, 136)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1550
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.1552 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 8, 8})
Quotient :: edge^2
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ Y3, R^2, (Y1^-1 * Y2)^2, (Y2^-1 * Y1)^2, R * Y2 * R * Y1, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^-2 * Y2^-1 * Y1 * Y2 * Y1^-2 * Y2^-1, Y2^2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-2 * Y1^2 * Y2^-2, Y2^8, Y1^8, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: polytopal
	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, 146, 150, 160, 184, 175, 156, 148)(147, 153, 167, 201, 212, 197, 165, 152)(149, 155, 172, 198, 214, 190, 180, 158)(151, 163, 191, 183, 208, 213, 189, 162)(154, 170, 203, 215, 207, 210, 185, 169)(157, 174, 192, 181, 199, 166, 196, 177)(159, 179, 195, 176, 202, 168, 188, 182)(161, 187, 173, 200, 216, 206, 211, 186)(164, 194, 178, 204, 171, 205, 209, 193)(217, 219, 226, 243, 278, 255, 231, 221)(218, 223, 236, 267, 287, 272, 238, 224)(220, 227, 245, 279, 285, 273, 250, 229)(222, 233, 260, 249, 276, 242, 262, 234)(225, 240, 259, 244, 265, 235, 264, 241)(228, 246, 263, 283, 269, 286, 275, 248)(230, 251, 266, 284, 258, 232, 257, 253)(237, 268, 254, 280, 282, 256, 281, 270)(239, 261, 252, 271, 288, 277, 247, 274)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1555
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.1553 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 8, 8})
Quotient :: edge^2
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, (Y1 * Y2^-1)^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y1^2 * Y3^2 * Y1^-1 * Y2^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1 * Y2^-2 * Y3^-2 * Y2, (Y3 * Y1^-1 * Y2^-1)^2, Y2^8, (Y3 * Y2 * Y3^-1 * Y1^-1)^2, Y1^8 ]
Map:: polyhedral non-degenerate
	R = (1, 73, 4, 76, 16, 88, 7, 79)(2, 74, 9, 81, 33, 105, 11, 83)(3, 75, 5, 77, 20, 92, 14, 86)(6, 78, 23, 95, 37, 109, 25, 97)(8, 80, 30, 102, 12, 84, 31, 103)(10, 82, 36, 108, 45, 117, 13, 85)(15, 87, 17, 89, 51, 123, 49, 121)(18, 90, 52, 124, 61, 133, 53, 125)(19, 91, 21, 93, 47, 119, 54, 126)(22, 94, 48, 120, 24, 96, 59, 131)(26, 98, 64, 136, 29, 101, 65, 137)(27, 99, 28, 100, 67, 139, 66, 138)(32, 104, 34, 106, 69, 141, 55, 127)(35, 107, 70, 142, 62, 134, 71, 143)(38, 110, 46, 118, 68, 140, 63, 135)(39, 111, 40, 112, 72, 144, 60, 132)(41, 113, 57, 129, 43, 115, 58, 130)(42, 114, 50, 122, 56, 128, 44, 116)(145, 146, 152, 173, 212, 200, 165, 149)(147, 156, 185, 216, 210, 178, 153, 154)(148, 150, 163, 177, 179, 211, 189, 161)(151, 170, 203, 205, 204, 195, 174, 172)(155, 182, 169, 206, 197, 213, 209, 184)(157, 187, 215, 193, 207, 196, 175, 186)(158, 183, 167, 168, 159, 191, 201, 190)(160, 162, 180, 181, 176, 164, 166, 194)(171, 192, 202, 199, 188, 214, 208, 198)(217, 219, 229, 260, 285, 277, 240, 222)(218, 223, 243, 263, 265, 278, 253, 226)(220, 231, 264, 282, 256, 245, 247, 234)(221, 235, 241, 279, 267, 288, 274, 238)(224, 227, 255, 236, 271, 259, 261, 244)(225, 248, 239, 276, 268, 284, 280, 251)(228, 230, 254, 249, 270, 242, 232, 258)(233, 252, 269, 286, 272, 262, 257, 246)(237, 266, 275, 281, 250, 283, 287, 273)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1554
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.1554 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 8, 8})
Quotient :: loop^2
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ Y3, R^2, (Y1^-1 * Y2)^2, (Y2^-1 * Y1)^2, R * Y2 * R * Y1, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^-2 * Y2^-1 * Y1 * Y2 * Y1^-2 * Y2^-1, Y2^2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-2 * Y1^2 * Y2^-2, Y2^8, Y1^8, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 73, 145, 217)(2, 74, 146, 218)(3, 75, 147, 219)(4, 76, 148, 220)(5, 77, 149, 221)(6, 78, 150, 222)(7, 79, 151, 223)(8, 80, 152, 224)(9, 81, 153, 225)(10, 82, 154, 226)(11, 83, 155, 227)(12, 84, 156, 228)(13, 85, 157, 229)(14, 86, 158, 230)(15, 87, 159, 231)(16, 88, 160, 232)(17, 89, 161, 233)(18, 90, 162, 234)(19, 91, 163, 235)(20, 92, 164, 236)(21, 93, 165, 237)(22, 94, 166, 238)(23, 95, 167, 239)(24, 96, 168, 240)(25, 97, 169, 241)(26, 98, 170, 242)(27, 99, 171, 243)(28, 100, 172, 244)(29, 101, 173, 245)(30, 102, 174, 246)(31, 103, 175, 247)(32, 104, 176, 248)(33, 105, 177, 249)(34, 106, 178, 250)(35, 107, 179, 251)(36, 108, 180, 252)(37, 109, 181, 253)(38, 110, 182, 254)(39, 111, 183, 255)(40, 112, 184, 256)(41, 113, 185, 257)(42, 114, 186, 258)(43, 115, 187, 259)(44, 116, 188, 260)(45, 117, 189, 261)(46, 118, 190, 262)(47, 119, 191, 263)(48, 120, 192, 264)(49, 121, 193, 265)(50, 122, 194, 266)(51, 123, 195, 267)(52, 124, 196, 268)(53, 125, 197, 269)(54, 126, 198, 270)(55, 127, 199, 271)(56, 128, 200, 272)(57, 129, 201, 273)(58, 130, 202, 274)(59, 131, 203, 275)(60, 132, 204, 276)(61, 133, 205, 277)(62, 134, 206, 278)(63, 135, 207, 279)(64, 136, 208, 280)(65, 137, 209, 281)(66, 138, 210, 282)(67, 139, 211, 283)(68, 140, 212, 284)(69, 141, 213, 285)(70, 142, 214, 286)(71, 143, 215, 287)(72, 144, 216, 288)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 83)(6, 88)(7, 91)(8, 75)(9, 95)(10, 98)(11, 100)(12, 76)(13, 102)(14, 77)(15, 107)(16, 112)(17, 115)(18, 79)(19, 119)(20, 122)(21, 80)(22, 124)(23, 129)(24, 116)(25, 82)(26, 131)(27, 133)(28, 126)(29, 128)(30, 120)(31, 84)(32, 130)(33, 85)(34, 132)(35, 123)(36, 86)(37, 127)(38, 87)(39, 136)(40, 103)(41, 97)(42, 89)(43, 101)(44, 110)(45, 90)(46, 108)(47, 111)(48, 109)(49, 92)(50, 106)(51, 104)(52, 105)(53, 93)(54, 142)(55, 94)(56, 144)(57, 140)(58, 96)(59, 143)(60, 99)(61, 137)(62, 139)(63, 138)(64, 141)(65, 121)(66, 113)(67, 114)(68, 125)(69, 117)(70, 118)(71, 135)(72, 134)(145, 219)(146, 223)(147, 226)(148, 227)(149, 217)(150, 233)(151, 236)(152, 218)(153, 240)(154, 243)(155, 245)(156, 246)(157, 220)(158, 251)(159, 221)(160, 257)(161, 260)(162, 222)(163, 264)(164, 267)(165, 268)(166, 224)(167, 261)(168, 259)(169, 225)(170, 262)(171, 278)(172, 265)(173, 279)(174, 263)(175, 274)(176, 228)(177, 276)(178, 229)(179, 266)(180, 271)(181, 230)(182, 280)(183, 231)(184, 281)(185, 253)(186, 232)(187, 244)(188, 249)(189, 252)(190, 234)(191, 283)(192, 241)(193, 235)(194, 284)(195, 287)(196, 254)(197, 286)(198, 237)(199, 288)(200, 238)(201, 250)(202, 239)(203, 248)(204, 242)(205, 247)(206, 255)(207, 285)(208, 282)(209, 270)(210, 256)(211, 269)(212, 258)(213, 273)(214, 275)(215, 272)(216, 277)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1553
Transitivity :: VT+
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.1555 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 8, 8})
Quotient :: loop^2
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, (Y1 * Y2^-1)^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y1^2 * Y3^2 * Y1^-1 * Y2^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1 * Y2^-2 * Y3^-2 * Y2, (Y3 * Y1^-1 * Y2^-1)^2, Y2^8, (Y3 * Y2 * Y3^-1 * Y1^-1)^2, Y1^8 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 16, 88, 160, 232, 7, 79, 151, 223)(2, 74, 146, 218, 9, 81, 153, 225, 33, 105, 177, 249, 11, 83, 155, 227)(3, 75, 147, 219, 5, 77, 149, 221, 20, 92, 164, 236, 14, 86, 158, 230)(6, 78, 150, 222, 23, 95, 167, 239, 37, 109, 181, 253, 25, 97, 169, 241)(8, 80, 152, 224, 30, 102, 174, 246, 12, 84, 156, 228, 31, 103, 175, 247)(10, 82, 154, 226, 36, 108, 180, 252, 45, 117, 189, 261, 13, 85, 157, 229)(15, 87, 159, 231, 17, 89, 161, 233, 51, 123, 195, 267, 49, 121, 193, 265)(18, 90, 162, 234, 52, 124, 196, 268, 61, 133, 205, 277, 53, 125, 197, 269)(19, 91, 163, 235, 21, 93, 165, 237, 47, 119, 191, 263, 54, 126, 198, 270)(22, 94, 166, 238, 48, 120, 192, 264, 24, 96, 168, 240, 59, 131, 203, 275)(26, 98, 170, 242, 64, 136, 208, 280, 29, 101, 173, 245, 65, 137, 209, 281)(27, 99, 171, 243, 28, 100, 172, 244, 67, 139, 211, 283, 66, 138, 210, 282)(32, 104, 176, 248, 34, 106, 178, 250, 69, 141, 213, 285, 55, 127, 199, 271)(35, 107, 179, 251, 70, 142, 214, 286, 62, 134, 206, 278, 71, 143, 215, 287)(38, 110, 182, 254, 46, 118, 190, 262, 68, 140, 212, 284, 63, 135, 207, 279)(39, 111, 183, 255, 40, 112, 184, 256, 72, 144, 216, 288, 60, 132, 204, 276)(41, 113, 185, 257, 57, 129, 201, 273, 43, 115, 187, 259, 58, 130, 202, 274)(42, 114, 186, 258, 50, 122, 194, 266, 56, 128, 200, 272, 44, 116, 188, 260)
	L = (1, 74)(2, 80)(3, 84)(4, 78)(5, 73)(6, 91)(7, 98)(8, 101)(9, 82)(10, 75)(11, 110)(12, 113)(13, 115)(14, 111)(15, 119)(16, 90)(17, 76)(18, 108)(19, 105)(20, 94)(21, 77)(22, 122)(23, 96)(24, 87)(25, 134)(26, 131)(27, 120)(28, 79)(29, 140)(30, 100)(31, 114)(32, 92)(33, 107)(34, 81)(35, 139)(36, 109)(37, 104)(38, 97)(39, 95)(40, 83)(41, 144)(42, 85)(43, 143)(44, 142)(45, 89)(46, 86)(47, 129)(48, 130)(49, 135)(50, 88)(51, 102)(52, 103)(53, 141)(54, 99)(55, 116)(56, 93)(57, 118)(58, 127)(59, 133)(60, 123)(61, 132)(62, 125)(63, 124)(64, 126)(65, 112)(66, 106)(67, 117)(68, 128)(69, 137)(70, 136)(71, 121)(72, 138)(145, 219)(146, 223)(147, 229)(148, 231)(149, 235)(150, 217)(151, 243)(152, 227)(153, 248)(154, 218)(155, 255)(156, 230)(157, 260)(158, 254)(159, 264)(160, 258)(161, 252)(162, 220)(163, 241)(164, 271)(165, 266)(166, 221)(167, 276)(168, 222)(169, 279)(170, 232)(171, 263)(172, 224)(173, 247)(174, 233)(175, 234)(176, 239)(177, 270)(178, 283)(179, 225)(180, 269)(181, 226)(182, 249)(183, 236)(184, 245)(185, 246)(186, 228)(187, 261)(188, 285)(189, 244)(190, 257)(191, 265)(192, 282)(193, 278)(194, 275)(195, 288)(196, 284)(197, 286)(198, 242)(199, 259)(200, 262)(201, 237)(202, 238)(203, 281)(204, 268)(205, 240)(206, 253)(207, 267)(208, 251)(209, 250)(210, 256)(211, 287)(212, 280)(213, 277)(214, 272)(215, 273)(216, 274)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1552
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 144 f = 90
	degree seq :: [ 16^18 ]

E19.1556 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = (C3 : C4) x S3 (small group id <72, 20>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2 * T1^2 * T2^-1 * T1, T2^-2 * T1^-1 * T2^-2 * T1, T2^6, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 16, 5)(2, 7, 20, 38, 24, 8)(4, 12, 31, 49, 28, 13)(6, 17, 34, 52, 35, 18)(9, 25, 14, 32, 47, 26)(11, 29, 15, 33, 48, 30)(19, 36, 22, 41, 57, 37)(21, 39, 23, 42, 58, 40)(43, 61, 45, 65, 50, 62)(44, 63, 46, 66, 51, 64)(53, 67, 55, 71, 59, 68)(54, 69, 56, 72, 60, 70)(73, 74, 78, 76)(75, 81, 89, 83)(77, 86, 90, 87)(79, 91, 84, 93)(80, 94, 85, 95)(82, 96, 106, 100)(88, 92, 107, 103)(97, 115, 101, 116)(98, 117, 102, 118)(99, 119, 124, 120)(104, 122, 105, 123)(108, 125, 111, 126)(109, 127, 112, 128)(110, 129, 121, 130)(113, 131, 114, 132)(133, 140, 135, 142)(134, 139, 136, 141)(137, 143, 138, 144)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E19.1560
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 72 f = 6
	degree seq :: [ 4^18, 6^12 ]

E19.1557 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = (C3 : C4) x S3 (small group id <72, 20>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-2 * T2^-1 * T1^-1, T2^-2 * T1^-1 * T2^-2 * T1, T1^6, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T2^5 * T1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 48, 21, 47, 24, 52, 40, 17, 5)(2, 7, 22, 49, 33, 11, 32, 16, 39, 54, 26, 8)(4, 12, 35, 58, 29, 9, 28, 15, 38, 59, 31, 14)(6, 19, 43, 64, 51, 23, 50, 25, 53, 68, 46, 20)(13, 27, 55, 69, 60, 34, 56, 37, 57, 70, 61, 36)(18, 41, 62, 71, 66, 44, 65, 45, 67, 72, 63, 42)(73, 74, 78, 90, 85, 76)(75, 81, 99, 116, 91, 83)(77, 87, 108, 117, 92, 88)(79, 93, 84, 106, 113, 95)(80, 96, 86, 109, 114, 97)(82, 98, 115, 135, 127, 103)(89, 94, 118, 134, 133, 107)(100, 119, 104, 122, 137, 128)(101, 124, 105, 125, 138, 129)(102, 130, 141, 143, 136, 121)(110, 120, 111, 123, 139, 132)(112, 131, 142, 144, 140, 126)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1561
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 6^12, 12^6 ]

E19.1558 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = (C3 : C4) x S3 (small group id <72, 20>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, T1 * T2 * T1^2 * T2^-1 * T1, T1^3 * T2^-2 * T1^3, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 28, 14)(6, 18, 38, 19)(9, 26, 15, 27)(11, 29, 16, 30)(13, 25, 35, 33)(17, 36, 32, 37)(20, 41, 23, 42)(22, 43, 24, 44)(31, 51, 34, 52)(39, 53, 40, 54)(45, 61, 47, 62)(46, 63, 48, 64)(49, 65, 50, 66)(55, 67, 57, 68)(56, 69, 58, 70)(59, 71, 60, 72)(73, 74, 78, 89, 107, 100, 82, 93, 110, 104, 85, 76)(75, 81, 97, 112, 91, 88, 77, 87, 105, 111, 90, 83)(79, 92, 84, 103, 109, 96, 80, 95, 86, 106, 108, 94)(98, 117, 101, 121, 125, 120, 99, 119, 102, 122, 126, 118)(113, 127, 115, 131, 124, 130, 114, 129, 116, 132, 123, 128)(133, 142, 135, 143, 138, 139, 134, 141, 136, 144, 137, 140)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1559
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.1559 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = (C3 : C4) x S3 (small group id <72, 20>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2 * T1^2 * T2^-1 * T1, T2^-2 * T1^-1 * T2^-2 * T1, T2^6, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 10, 82, 27, 99, 16, 88, 5, 77)(2, 74, 7, 79, 20, 92, 38, 110, 24, 96, 8, 80)(4, 76, 12, 84, 31, 103, 49, 121, 28, 100, 13, 85)(6, 78, 17, 89, 34, 106, 52, 124, 35, 107, 18, 90)(9, 81, 25, 97, 14, 86, 32, 104, 47, 119, 26, 98)(11, 83, 29, 101, 15, 87, 33, 105, 48, 120, 30, 102)(19, 91, 36, 108, 22, 94, 41, 113, 57, 129, 37, 109)(21, 93, 39, 111, 23, 95, 42, 114, 58, 130, 40, 112)(43, 115, 61, 133, 45, 117, 65, 137, 50, 122, 62, 134)(44, 116, 63, 135, 46, 118, 66, 138, 51, 123, 64, 136)(53, 125, 67, 139, 55, 127, 71, 143, 59, 131, 68, 140)(54, 126, 69, 141, 56, 128, 72, 144, 60, 132, 70, 142)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 91)(8, 94)(9, 89)(10, 96)(11, 75)(12, 93)(13, 95)(14, 90)(15, 77)(16, 92)(17, 83)(18, 87)(19, 84)(20, 107)(21, 79)(22, 85)(23, 80)(24, 106)(25, 115)(26, 117)(27, 119)(28, 82)(29, 116)(30, 118)(31, 88)(32, 122)(33, 123)(34, 100)(35, 103)(36, 125)(37, 127)(38, 129)(39, 126)(40, 128)(41, 131)(42, 132)(43, 101)(44, 97)(45, 102)(46, 98)(47, 124)(48, 99)(49, 130)(50, 105)(51, 104)(52, 120)(53, 111)(54, 108)(55, 112)(56, 109)(57, 121)(58, 110)(59, 114)(60, 113)(61, 140)(62, 139)(63, 142)(64, 141)(65, 143)(66, 144)(67, 136)(68, 135)(69, 134)(70, 133)(71, 138)(72, 137)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1558
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.1560 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = (C3 : C4) x S3 (small group id <72, 20>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-2 * T2^-1 * T1^-1, T2^-2 * T1^-1 * T2^-2 * T1, T1^6, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T2^5 * T1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 30, 102, 48, 120, 21, 93, 47, 119, 24, 96, 52, 124, 40, 112, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 49, 121, 33, 105, 11, 83, 32, 104, 16, 88, 39, 111, 54, 126, 26, 98, 8, 80)(4, 76, 12, 84, 35, 107, 58, 130, 29, 101, 9, 81, 28, 100, 15, 87, 38, 110, 59, 131, 31, 103, 14, 86)(6, 78, 19, 91, 43, 115, 64, 136, 51, 123, 23, 95, 50, 122, 25, 97, 53, 125, 68, 140, 46, 118, 20, 92)(13, 85, 27, 99, 55, 127, 69, 141, 60, 132, 34, 106, 56, 128, 37, 109, 57, 129, 70, 142, 61, 133, 36, 108)(18, 90, 41, 113, 62, 134, 71, 143, 66, 138, 44, 116, 65, 137, 45, 117, 67, 139, 72, 144, 63, 135, 42, 114)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 99)(10, 98)(11, 75)(12, 106)(13, 76)(14, 109)(15, 108)(16, 77)(17, 94)(18, 85)(19, 83)(20, 88)(21, 84)(22, 118)(23, 79)(24, 86)(25, 80)(26, 115)(27, 116)(28, 119)(29, 124)(30, 130)(31, 82)(32, 122)(33, 125)(34, 113)(35, 89)(36, 117)(37, 114)(38, 120)(39, 123)(40, 131)(41, 95)(42, 97)(43, 135)(44, 91)(45, 92)(46, 134)(47, 104)(48, 111)(49, 102)(50, 137)(51, 139)(52, 105)(53, 138)(54, 112)(55, 103)(56, 100)(57, 101)(58, 141)(59, 142)(60, 110)(61, 107)(62, 133)(63, 127)(64, 121)(65, 128)(66, 129)(67, 132)(68, 126)(69, 143)(70, 144)(71, 136)(72, 140)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1556
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 30
	degree seq :: [ 24^6 ]

E19.1561 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = (C3 : C4) x S3 (small group id <72, 20>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, T1 * T2 * T1^2 * T2^-1 * T1, T1^3 * T2^-2 * T1^3, (T2 * T1^-1)^6 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 5, 77)(2, 74, 7, 79, 21, 93, 8, 80)(4, 76, 12, 84, 28, 100, 14, 86)(6, 78, 18, 90, 38, 110, 19, 91)(9, 81, 26, 98, 15, 87, 27, 99)(11, 83, 29, 101, 16, 88, 30, 102)(13, 85, 25, 97, 35, 107, 33, 105)(17, 89, 36, 108, 32, 104, 37, 109)(20, 92, 41, 113, 23, 95, 42, 114)(22, 94, 43, 115, 24, 96, 44, 116)(31, 103, 51, 123, 34, 106, 52, 124)(39, 111, 53, 125, 40, 112, 54, 126)(45, 117, 61, 133, 47, 119, 62, 134)(46, 118, 63, 135, 48, 120, 64, 136)(49, 121, 65, 137, 50, 122, 66, 138)(55, 127, 67, 139, 57, 129, 68, 140)(56, 128, 69, 141, 58, 130, 70, 142)(59, 131, 71, 143, 60, 132, 72, 144)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 89)(7, 92)(8, 95)(9, 97)(10, 93)(11, 75)(12, 103)(13, 76)(14, 106)(15, 105)(16, 77)(17, 107)(18, 83)(19, 88)(20, 84)(21, 110)(22, 79)(23, 86)(24, 80)(25, 112)(26, 117)(27, 119)(28, 82)(29, 121)(30, 122)(31, 109)(32, 85)(33, 111)(34, 108)(35, 100)(36, 94)(37, 96)(38, 104)(39, 90)(40, 91)(41, 127)(42, 129)(43, 131)(44, 132)(45, 101)(46, 98)(47, 102)(48, 99)(49, 125)(50, 126)(51, 128)(52, 130)(53, 120)(54, 118)(55, 115)(56, 113)(57, 116)(58, 114)(59, 124)(60, 123)(61, 142)(62, 141)(63, 143)(64, 144)(65, 140)(66, 139)(67, 134)(68, 133)(69, 136)(70, 135)(71, 138)(72, 137)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1557
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.1562 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = (C3 : C4) x S3 (small group id <72, 20>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, R * Y2^2 * R * Y2^-2, Y2^2 * Y1 * Y2^2 * Y1^-1, Y2^6, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2)^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 17, 89, 11, 83)(5, 77, 14, 86, 18, 90, 15, 87)(7, 79, 19, 91, 12, 84, 21, 93)(8, 80, 22, 94, 13, 85, 23, 95)(10, 82, 24, 96, 34, 106, 28, 100)(16, 88, 20, 92, 35, 107, 31, 103)(25, 97, 43, 115, 29, 101, 44, 116)(26, 98, 45, 117, 30, 102, 46, 118)(27, 99, 47, 119, 52, 124, 48, 120)(32, 104, 50, 122, 33, 105, 51, 123)(36, 108, 53, 125, 39, 111, 54, 126)(37, 109, 55, 127, 40, 112, 56, 128)(38, 110, 57, 129, 49, 121, 58, 130)(41, 113, 59, 131, 42, 114, 60, 132)(61, 133, 68, 140, 63, 135, 70, 142)(62, 134, 67, 139, 64, 136, 69, 141)(65, 137, 71, 143, 66, 138, 72, 144)(145, 217, 147, 219, 154, 226, 171, 243, 160, 232, 149, 221)(146, 218, 151, 223, 164, 236, 182, 254, 168, 240, 152, 224)(148, 220, 156, 228, 175, 247, 193, 265, 172, 244, 157, 229)(150, 222, 161, 233, 178, 250, 196, 268, 179, 251, 162, 234)(153, 225, 169, 241, 158, 230, 176, 248, 191, 263, 170, 242)(155, 227, 173, 245, 159, 231, 177, 249, 192, 264, 174, 246)(163, 235, 180, 252, 166, 238, 185, 257, 201, 273, 181, 253)(165, 237, 183, 255, 167, 239, 186, 258, 202, 274, 184, 256)(187, 259, 205, 277, 189, 261, 209, 281, 194, 266, 206, 278)(188, 260, 207, 279, 190, 262, 210, 282, 195, 267, 208, 280)(197, 269, 211, 283, 199, 271, 215, 287, 203, 275, 212, 284)(198, 270, 213, 285, 200, 272, 216, 288, 204, 276, 214, 286)
	L = (1, 148)(2, 145)(3, 155)(4, 150)(5, 159)(6, 146)(7, 165)(8, 167)(9, 147)(10, 172)(11, 161)(12, 163)(13, 166)(14, 149)(15, 162)(16, 175)(17, 153)(18, 158)(19, 151)(20, 160)(21, 156)(22, 152)(23, 157)(24, 154)(25, 188)(26, 190)(27, 192)(28, 178)(29, 187)(30, 189)(31, 179)(32, 195)(33, 194)(34, 168)(35, 164)(36, 198)(37, 200)(38, 202)(39, 197)(40, 199)(41, 204)(42, 203)(43, 169)(44, 173)(45, 170)(46, 174)(47, 171)(48, 196)(49, 201)(50, 176)(51, 177)(52, 191)(53, 180)(54, 183)(55, 181)(56, 184)(57, 182)(58, 193)(59, 185)(60, 186)(61, 214)(62, 213)(63, 212)(64, 211)(65, 216)(66, 215)(67, 206)(68, 205)(69, 208)(70, 207)(71, 209)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 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 E19.1565
Graph:: bipartite
	v = 30 e = 144 f = 78
	degree seq :: [ 8^18, 12^12 ]

E19.1563 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = (C3 : C4) x S3 (small group id <72, 20>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y1^-1 * Y2^-2 * Y1, Y1^-1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, Y1^6, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1, Y2^5 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 44, 116, 19, 91, 11, 83)(5, 77, 15, 87, 36, 108, 45, 117, 20, 92, 16, 88)(7, 79, 21, 93, 12, 84, 34, 106, 41, 113, 23, 95)(8, 80, 24, 96, 14, 86, 37, 109, 42, 114, 25, 97)(10, 82, 26, 98, 43, 115, 63, 135, 55, 127, 31, 103)(17, 89, 22, 94, 46, 118, 62, 134, 61, 133, 35, 107)(28, 100, 47, 119, 32, 104, 50, 122, 65, 137, 56, 128)(29, 101, 52, 124, 33, 105, 53, 125, 66, 138, 57, 129)(30, 102, 58, 130, 69, 141, 71, 143, 64, 136, 49, 121)(38, 110, 48, 120, 39, 111, 51, 123, 67, 139, 60, 132)(40, 112, 59, 131, 70, 142, 72, 144, 68, 140, 54, 126)(145, 217, 147, 219, 154, 226, 174, 246, 192, 264, 165, 237, 191, 263, 168, 240, 196, 268, 184, 256, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 193, 265, 177, 249, 155, 227, 176, 248, 160, 232, 183, 255, 198, 270, 170, 242, 152, 224)(148, 220, 156, 228, 179, 251, 202, 274, 173, 245, 153, 225, 172, 244, 159, 231, 182, 254, 203, 275, 175, 247, 158, 230)(150, 222, 163, 235, 187, 259, 208, 280, 195, 267, 167, 239, 194, 266, 169, 241, 197, 269, 212, 284, 190, 262, 164, 236)(157, 229, 171, 243, 199, 271, 213, 285, 204, 276, 178, 250, 200, 272, 181, 253, 201, 273, 214, 286, 205, 277, 180, 252)(162, 234, 185, 257, 206, 278, 215, 287, 210, 282, 188, 260, 209, 281, 189, 261, 211, 283, 216, 288, 207, 279, 186, 258)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 174)(11, 176)(12, 179)(13, 171)(14, 148)(15, 182)(16, 183)(17, 149)(18, 185)(19, 187)(20, 150)(21, 191)(22, 193)(23, 194)(24, 196)(25, 197)(26, 152)(27, 199)(28, 159)(29, 153)(30, 192)(31, 158)(32, 160)(33, 155)(34, 200)(35, 202)(36, 157)(37, 201)(38, 203)(39, 198)(40, 161)(41, 206)(42, 162)(43, 208)(44, 209)(45, 211)(46, 164)(47, 168)(48, 165)(49, 177)(50, 169)(51, 167)(52, 184)(53, 212)(54, 170)(55, 213)(56, 181)(57, 214)(58, 173)(59, 175)(60, 178)(61, 180)(62, 215)(63, 186)(64, 195)(65, 189)(66, 188)(67, 216)(68, 190)(69, 204)(70, 205)(71, 210)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 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 E19.1564
Graph:: bipartite
	v = 18 e = 144 f = 90
	degree seq :: [ 12^12, 24^6 ]

E19.1564 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = (C3 : C4) x S3 (small group id <72, 20>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y2 * Y3^-2 * Y2^-1 * Y3^-2, Y3^3 * Y2^2 * Y3^3, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 148, 220)(147, 219, 153, 225, 161, 233, 155, 227)(149, 221, 158, 230, 162, 234, 159, 231)(151, 223, 163, 235, 156, 228, 165, 237)(152, 224, 166, 238, 157, 229, 167, 239)(154, 226, 168, 240, 179, 251, 172, 244)(160, 232, 164, 236, 180, 252, 175, 247)(169, 241, 189, 261, 173, 245, 190, 262)(170, 242, 191, 263, 174, 246, 192, 264)(171, 243, 193, 265, 178, 250, 194, 266)(176, 248, 195, 267, 177, 249, 196, 268)(181, 253, 197, 269, 184, 256, 198, 270)(182, 254, 199, 271, 185, 257, 200, 272)(183, 255, 201, 273, 188, 260, 202, 274)(186, 258, 203, 275, 187, 259, 204, 276)(205, 277, 214, 286, 207, 279, 212, 284)(206, 278, 213, 285, 208, 280, 211, 283)(209, 281, 215, 287, 210, 282, 216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 164)(8, 146)(9, 169)(10, 171)(11, 173)(12, 175)(13, 148)(14, 176)(15, 177)(16, 149)(17, 179)(18, 150)(19, 181)(20, 183)(21, 184)(22, 186)(23, 187)(24, 152)(25, 158)(26, 153)(27, 180)(28, 157)(29, 159)(30, 155)(31, 188)(32, 194)(33, 193)(34, 160)(35, 178)(36, 162)(37, 166)(38, 163)(39, 172)(40, 167)(41, 165)(42, 202)(43, 201)(44, 168)(45, 205)(46, 207)(47, 209)(48, 210)(49, 170)(50, 174)(51, 206)(52, 208)(53, 211)(54, 213)(55, 215)(56, 216)(57, 182)(58, 185)(59, 212)(60, 214)(61, 191)(62, 189)(63, 192)(64, 190)(65, 196)(66, 195)(67, 199)(68, 197)(69, 200)(70, 198)(71, 204)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1563
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.1565 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = (C3 : C4) x S3 (small group id <72, 20>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1, Y3^-1 * Y1^2 * Y3 * Y1^2, Y1^3 * Y3^2 * Y1^3, (Y3 * Y2^-1)^4, (Y3 * Y1^-1)^6 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 17, 89, 35, 107, 28, 100, 10, 82, 21, 93, 38, 110, 32, 104, 13, 85, 4, 76)(3, 75, 9, 81, 25, 97, 40, 112, 19, 91, 16, 88, 5, 77, 15, 87, 33, 105, 39, 111, 18, 90, 11, 83)(7, 79, 20, 92, 12, 84, 31, 103, 37, 109, 24, 96, 8, 80, 23, 95, 14, 86, 34, 106, 36, 108, 22, 94)(26, 98, 45, 117, 29, 101, 49, 121, 53, 125, 48, 120, 27, 99, 47, 119, 30, 102, 50, 122, 54, 126, 46, 118)(41, 113, 55, 127, 43, 115, 59, 131, 52, 124, 58, 130, 42, 114, 57, 129, 44, 116, 60, 132, 51, 123, 56, 128)(61, 133, 70, 142, 63, 135, 71, 143, 66, 138, 67, 139, 62, 134, 69, 141, 64, 136, 72, 144, 65, 137, 68, 140)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 162)(7, 165)(8, 146)(9, 170)(10, 149)(11, 173)(12, 172)(13, 169)(14, 148)(15, 171)(16, 174)(17, 180)(18, 182)(19, 150)(20, 185)(21, 152)(22, 187)(23, 186)(24, 188)(25, 179)(26, 159)(27, 153)(28, 158)(29, 160)(30, 155)(31, 195)(32, 181)(33, 157)(34, 196)(35, 177)(36, 176)(37, 161)(38, 163)(39, 197)(40, 198)(41, 167)(42, 164)(43, 168)(44, 166)(45, 205)(46, 207)(47, 206)(48, 208)(49, 209)(50, 210)(51, 178)(52, 175)(53, 184)(54, 183)(55, 211)(56, 213)(57, 212)(58, 214)(59, 215)(60, 216)(61, 191)(62, 189)(63, 192)(64, 190)(65, 194)(66, 193)(67, 201)(68, 199)(69, 202)(70, 200)(71, 204)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12 ), ( 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 E19.1562
Graph:: simple bipartite
	v = 78 e = 144 f = 30
	degree seq :: [ 2^72, 24^6 ]

E19.1566 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = (C3 : C4) x S3 (small group id <72, 20>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2^3 * Y1 * Y3^-1 * Y2^3, Y2^-1 * Y1 * Y2 * R * Y2^2 * Y3 * Y2^-1 * R * Y2^-1, (Y3 * Y2)^6 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 17, 89, 11, 83)(5, 77, 14, 86, 18, 90, 15, 87)(7, 79, 19, 91, 12, 84, 21, 93)(8, 80, 22, 94, 13, 85, 23, 95)(10, 82, 24, 96, 35, 107, 28, 100)(16, 88, 20, 92, 36, 108, 31, 103)(25, 97, 45, 117, 29, 101, 46, 118)(26, 98, 47, 119, 30, 102, 48, 120)(27, 99, 49, 121, 34, 106, 50, 122)(32, 104, 51, 123, 33, 105, 52, 124)(37, 109, 53, 125, 40, 112, 54, 126)(38, 110, 55, 127, 41, 113, 56, 128)(39, 111, 57, 129, 44, 116, 58, 130)(42, 114, 59, 131, 43, 115, 60, 132)(61, 133, 70, 142, 63, 135, 68, 140)(62, 134, 69, 141, 64, 136, 67, 139)(65, 137, 71, 143, 66, 138, 72, 144)(145, 217, 147, 219, 154, 226, 171, 243, 180, 252, 162, 234, 150, 222, 161, 233, 179, 251, 178, 250, 160, 232, 149, 221)(146, 218, 151, 223, 164, 236, 183, 255, 172, 244, 157, 229, 148, 220, 156, 228, 175, 247, 188, 260, 168, 240, 152, 224)(153, 225, 169, 241, 158, 230, 176, 248, 194, 266, 174, 246, 155, 227, 173, 245, 159, 231, 177, 249, 193, 265, 170, 242)(163, 235, 181, 253, 166, 238, 186, 258, 202, 274, 185, 257, 165, 237, 184, 256, 167, 239, 187, 259, 201, 273, 182, 254)(189, 261, 205, 277, 191, 263, 209, 281, 196, 268, 208, 280, 190, 262, 207, 279, 192, 264, 210, 282, 195, 267, 206, 278)(197, 269, 211, 283, 199, 271, 215, 287, 204, 276, 214, 286, 198, 270, 213, 285, 200, 272, 216, 288, 203, 275, 212, 284)
	L = (1, 148)(2, 145)(3, 155)(4, 150)(5, 159)(6, 146)(7, 165)(8, 167)(9, 147)(10, 172)(11, 161)(12, 163)(13, 166)(14, 149)(15, 162)(16, 175)(17, 153)(18, 158)(19, 151)(20, 160)(21, 156)(22, 152)(23, 157)(24, 154)(25, 190)(26, 192)(27, 194)(28, 179)(29, 189)(30, 191)(31, 180)(32, 196)(33, 195)(34, 193)(35, 168)(36, 164)(37, 198)(38, 200)(39, 202)(40, 197)(41, 199)(42, 204)(43, 203)(44, 201)(45, 169)(46, 173)(47, 170)(48, 174)(49, 171)(50, 178)(51, 176)(52, 177)(53, 181)(54, 184)(55, 182)(56, 185)(57, 183)(58, 188)(59, 186)(60, 187)(61, 212)(62, 211)(63, 214)(64, 213)(65, 216)(66, 215)(67, 208)(68, 207)(69, 206)(70, 205)(71, 209)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ), ( 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 E19.1567
Graph:: bipartite
	v = 24 e = 144 f = 84
	degree seq :: [ 8^18, 24^6 ]

E19.1567 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = (C3 : C4) x S3 (small group id <72, 20>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y1^2 * Y3^-1 * Y1, Y3^-1 * Y1^-1 * Y3^-2 * Y1 * Y3^-1, Y1^6, (Y3 * Y1^-1)^4, Y3^5 * Y1 * Y3^-1 * Y1, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 44, 116, 19, 91, 11, 83)(5, 77, 15, 87, 36, 108, 45, 117, 20, 92, 16, 88)(7, 79, 21, 93, 12, 84, 34, 106, 41, 113, 23, 95)(8, 80, 24, 96, 14, 86, 37, 109, 42, 114, 25, 97)(10, 82, 26, 98, 43, 115, 63, 135, 55, 127, 31, 103)(17, 89, 22, 94, 46, 118, 62, 134, 61, 133, 35, 107)(28, 100, 47, 119, 32, 104, 50, 122, 65, 137, 56, 128)(29, 101, 52, 124, 33, 105, 53, 125, 66, 138, 57, 129)(30, 102, 58, 130, 69, 141, 71, 143, 64, 136, 49, 121)(38, 110, 48, 120, 39, 111, 51, 123, 67, 139, 60, 132)(40, 112, 59, 131, 70, 142, 72, 144, 68, 140, 54, 126)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 174)(11, 176)(12, 179)(13, 171)(14, 148)(15, 182)(16, 183)(17, 149)(18, 185)(19, 187)(20, 150)(21, 191)(22, 193)(23, 194)(24, 196)(25, 197)(26, 152)(27, 199)(28, 159)(29, 153)(30, 192)(31, 158)(32, 160)(33, 155)(34, 200)(35, 202)(36, 157)(37, 201)(38, 203)(39, 198)(40, 161)(41, 206)(42, 162)(43, 208)(44, 209)(45, 211)(46, 164)(47, 168)(48, 165)(49, 177)(50, 169)(51, 167)(52, 184)(53, 212)(54, 170)(55, 213)(56, 181)(57, 214)(58, 173)(59, 175)(60, 178)(61, 180)(62, 215)(63, 186)(64, 195)(65, 189)(66, 188)(67, 216)(68, 190)(69, 204)(70, 205)(71, 210)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1566
Graph:: simple bipartite
	v = 84 e = 144 f = 24
	degree seq :: [ 2^72, 12^12 ]

E19.1568 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^-2 * T1^-1 * T2^2 * T1, T2^6, (T2^-1 * T1 * T2^-1 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 16, 5)(2, 7, 20, 38, 24, 8)(4, 12, 28, 49, 31, 13)(6, 17, 34, 52, 35, 18)(9, 25, 44, 32, 14, 26)(11, 29, 48, 33, 15, 30)(19, 36, 54, 41, 22, 37)(21, 39, 58, 42, 23, 40)(43, 61, 50, 65, 46, 62)(45, 63, 51, 66, 47, 64)(53, 67, 59, 71, 56, 68)(55, 69, 60, 72, 57, 70)(73, 74, 78, 76)(75, 81, 89, 83)(77, 86, 90, 87)(79, 91, 84, 93)(80, 94, 85, 95)(82, 92, 106, 100)(88, 96, 107, 103)(97, 115, 101, 117)(98, 118, 102, 119)(99, 116, 124, 120)(104, 122, 105, 123)(108, 125, 111, 127)(109, 128, 112, 129)(110, 126, 121, 130)(113, 131, 114, 132)(133, 139, 135, 141)(134, 140, 136, 142)(137, 143, 138, 144)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E19.1572
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 72 f = 6
	degree seq :: [ 4^18, 6^12 ]

E19.1569 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^6, T1 * T2^-1 * T1^-2 * T2 * T1, (T1^-1 * T2^2)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T2^5 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 51, 21, 50, 37, 63, 43, 17, 5)(2, 7, 22, 53, 67, 46, 41, 16, 40, 60, 26, 8)(4, 12, 34, 61, 28, 9, 27, 48, 69, 66, 38, 14)(6, 19, 47, 68, 65, 35, 58, 25, 57, 70, 49, 20)(11, 31, 15, 39, 62, 29, 45, 18, 44, 42, 64, 33)(13, 32, 59, 72, 55, 23, 54, 24, 56, 71, 52, 36)(73, 74, 78, 90, 85, 76)(75, 81, 91, 118, 104, 83)(77, 87, 92, 120, 108, 88)(79, 93, 116, 107, 84, 95)(80, 96, 117, 109, 86, 97)(82, 101, 119, 110, 131, 98)(89, 106, 121, 94, 124, 114)(99, 122, 113, 130, 103, 126)(100, 128, 139, 135, 105, 129)(102, 125, 140, 136, 144, 133)(111, 123, 141, 137, 112, 127)(115, 132, 142, 134, 143, 138)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1573
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 6^12, 12^6 ]

E19.1570 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-2 * T1 * T2^-2 * T1^-1, T1^-1 * T2^2 * T1^-5, (T2 * T1^-3)^2, (T1^-1, T2^-1, T1^-1), (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 28, 14)(6, 18, 45, 19)(9, 26, 15, 27)(11, 29, 16, 31)(13, 34, 41, 36)(17, 42, 35, 43)(20, 50, 23, 51)(22, 52, 24, 54)(25, 57, 39, 58)(30, 62, 40, 63)(32, 59, 37, 60)(33, 61, 38, 64)(44, 65, 47, 66)(46, 67, 48, 68)(49, 69, 55, 70)(53, 71, 56, 72)(73, 74, 78, 89, 113, 100, 82, 93, 117, 107, 85, 76)(75, 81, 97, 114, 112, 88, 77, 87, 111, 115, 102, 83)(79, 92, 121, 108, 128, 96, 80, 95, 127, 106, 125, 94)(84, 104, 118, 90, 116, 110, 86, 109, 120, 91, 119, 105)(98, 122, 137, 135, 144, 132, 99, 123, 138, 134, 143, 131)(101, 124, 139, 129, 141, 136, 103, 126, 140, 130, 142, 133)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1571
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.1571 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^-2 * T1^-1 * T2^2 * T1, T2^6, (T2^-1 * T1 * T2^-1 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 10, 82, 27, 99, 16, 88, 5, 77)(2, 74, 7, 79, 20, 92, 38, 110, 24, 96, 8, 80)(4, 76, 12, 84, 28, 100, 49, 121, 31, 103, 13, 85)(6, 78, 17, 89, 34, 106, 52, 124, 35, 107, 18, 90)(9, 81, 25, 97, 44, 116, 32, 104, 14, 86, 26, 98)(11, 83, 29, 101, 48, 120, 33, 105, 15, 87, 30, 102)(19, 91, 36, 108, 54, 126, 41, 113, 22, 94, 37, 109)(21, 93, 39, 111, 58, 130, 42, 114, 23, 95, 40, 112)(43, 115, 61, 133, 50, 122, 65, 137, 46, 118, 62, 134)(45, 117, 63, 135, 51, 123, 66, 138, 47, 119, 64, 136)(53, 125, 67, 139, 59, 131, 71, 143, 56, 128, 68, 140)(55, 127, 69, 141, 60, 132, 72, 144, 57, 129, 70, 142)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 91)(8, 94)(9, 89)(10, 92)(11, 75)(12, 93)(13, 95)(14, 90)(15, 77)(16, 96)(17, 83)(18, 87)(19, 84)(20, 106)(21, 79)(22, 85)(23, 80)(24, 107)(25, 115)(26, 118)(27, 116)(28, 82)(29, 117)(30, 119)(31, 88)(32, 122)(33, 123)(34, 100)(35, 103)(36, 125)(37, 128)(38, 126)(39, 127)(40, 129)(41, 131)(42, 132)(43, 101)(44, 124)(45, 97)(46, 102)(47, 98)(48, 99)(49, 130)(50, 105)(51, 104)(52, 120)(53, 111)(54, 121)(55, 108)(56, 112)(57, 109)(58, 110)(59, 114)(60, 113)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 135)(68, 136)(69, 133)(70, 134)(71, 138)(72, 137)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1570
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.1572 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^6, T1 * T2^-1 * T1^-2 * T2 * T1, (T1^-1 * T2^2)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T2^5 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 30, 102, 51, 123, 21, 93, 50, 122, 37, 109, 63, 135, 43, 115, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 53, 125, 67, 139, 46, 118, 41, 113, 16, 88, 40, 112, 60, 132, 26, 98, 8, 80)(4, 76, 12, 84, 34, 106, 61, 133, 28, 100, 9, 81, 27, 99, 48, 120, 69, 141, 66, 138, 38, 110, 14, 86)(6, 78, 19, 91, 47, 119, 68, 140, 65, 137, 35, 107, 58, 130, 25, 97, 57, 129, 70, 142, 49, 121, 20, 92)(11, 83, 31, 103, 15, 87, 39, 111, 62, 134, 29, 101, 45, 117, 18, 90, 44, 116, 42, 114, 64, 136, 33, 105)(13, 85, 32, 104, 59, 131, 72, 144, 55, 127, 23, 95, 54, 126, 24, 96, 56, 128, 71, 143, 52, 124, 36, 108)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 91)(10, 101)(11, 75)(12, 95)(13, 76)(14, 97)(15, 92)(16, 77)(17, 106)(18, 85)(19, 118)(20, 120)(21, 116)(22, 124)(23, 79)(24, 117)(25, 80)(26, 82)(27, 122)(28, 128)(29, 119)(30, 125)(31, 126)(32, 83)(33, 129)(34, 121)(35, 84)(36, 88)(37, 86)(38, 131)(39, 123)(40, 127)(41, 130)(42, 89)(43, 132)(44, 107)(45, 109)(46, 104)(47, 110)(48, 108)(49, 94)(50, 113)(51, 141)(52, 114)(53, 140)(54, 99)(55, 111)(56, 139)(57, 100)(58, 103)(59, 98)(60, 142)(61, 102)(62, 143)(63, 105)(64, 144)(65, 112)(66, 115)(67, 135)(68, 136)(69, 137)(70, 134)(71, 138)(72, 133)
	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 E19.1568
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 30
	degree seq :: [ 24^6 ]

E19.1573 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-2 * T1 * T2^-2 * T1^-1, T1^-1 * T2^2 * T1^-5, (T2 * T1^-3)^2, (T1^-1, T2^-1, T1^-1), (T2 * T1^-1)^6 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 5, 77)(2, 74, 7, 79, 21, 93, 8, 80)(4, 76, 12, 84, 28, 100, 14, 86)(6, 78, 18, 90, 45, 117, 19, 91)(9, 81, 26, 98, 15, 87, 27, 99)(11, 83, 29, 101, 16, 88, 31, 103)(13, 85, 34, 106, 41, 113, 36, 108)(17, 89, 42, 114, 35, 107, 43, 115)(20, 92, 50, 122, 23, 95, 51, 123)(22, 94, 52, 124, 24, 96, 54, 126)(25, 97, 57, 129, 39, 111, 58, 130)(30, 102, 62, 134, 40, 112, 63, 135)(32, 104, 59, 131, 37, 109, 60, 132)(33, 105, 61, 133, 38, 110, 64, 136)(44, 116, 65, 137, 47, 119, 66, 138)(46, 118, 67, 139, 48, 120, 68, 140)(49, 121, 69, 141, 55, 127, 70, 142)(53, 125, 71, 143, 56, 128, 72, 144)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 89)(7, 92)(8, 95)(9, 97)(10, 93)(11, 75)(12, 104)(13, 76)(14, 109)(15, 111)(16, 77)(17, 113)(18, 116)(19, 119)(20, 121)(21, 117)(22, 79)(23, 127)(24, 80)(25, 114)(26, 122)(27, 123)(28, 82)(29, 124)(30, 83)(31, 126)(32, 118)(33, 84)(34, 125)(35, 85)(36, 128)(37, 120)(38, 86)(39, 115)(40, 88)(41, 100)(42, 112)(43, 102)(44, 110)(45, 107)(46, 90)(47, 105)(48, 91)(49, 108)(50, 137)(51, 138)(52, 139)(53, 94)(54, 140)(55, 106)(56, 96)(57, 141)(58, 142)(59, 98)(60, 99)(61, 101)(62, 143)(63, 144)(64, 103)(65, 135)(66, 134)(67, 129)(68, 130)(69, 136)(70, 133)(71, 131)(72, 132)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1569
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.1574 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^4, Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^6, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, (R * Y2^2)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 17, 89, 11, 83)(5, 77, 14, 86, 18, 90, 15, 87)(7, 79, 19, 91, 12, 84, 21, 93)(8, 80, 22, 94, 13, 85, 23, 95)(10, 82, 20, 92, 34, 106, 28, 100)(16, 88, 24, 96, 35, 107, 31, 103)(25, 97, 43, 115, 29, 101, 45, 117)(26, 98, 46, 118, 30, 102, 47, 119)(27, 99, 44, 116, 52, 124, 48, 120)(32, 104, 50, 122, 33, 105, 51, 123)(36, 108, 53, 125, 39, 111, 55, 127)(37, 109, 56, 128, 40, 112, 57, 129)(38, 110, 54, 126, 49, 121, 58, 130)(41, 113, 59, 131, 42, 114, 60, 132)(61, 133, 67, 139, 63, 135, 69, 141)(62, 134, 68, 140, 64, 136, 70, 142)(65, 137, 71, 143, 66, 138, 72, 144)(145, 217, 147, 219, 154, 226, 171, 243, 160, 232, 149, 221)(146, 218, 151, 223, 164, 236, 182, 254, 168, 240, 152, 224)(148, 220, 156, 228, 172, 244, 193, 265, 175, 247, 157, 229)(150, 222, 161, 233, 178, 250, 196, 268, 179, 251, 162, 234)(153, 225, 169, 241, 188, 260, 176, 248, 158, 230, 170, 242)(155, 227, 173, 245, 192, 264, 177, 249, 159, 231, 174, 246)(163, 235, 180, 252, 198, 270, 185, 257, 166, 238, 181, 253)(165, 237, 183, 255, 202, 274, 186, 258, 167, 239, 184, 256)(187, 259, 205, 277, 194, 266, 209, 281, 190, 262, 206, 278)(189, 261, 207, 279, 195, 267, 210, 282, 191, 263, 208, 280)(197, 269, 211, 283, 203, 275, 215, 287, 200, 272, 212, 284)(199, 271, 213, 285, 204, 276, 216, 288, 201, 273, 214, 286)
	L = (1, 148)(2, 145)(3, 155)(4, 150)(5, 159)(6, 146)(7, 165)(8, 167)(9, 147)(10, 172)(11, 161)(12, 163)(13, 166)(14, 149)(15, 162)(16, 175)(17, 153)(18, 158)(19, 151)(20, 154)(21, 156)(22, 152)(23, 157)(24, 160)(25, 189)(26, 191)(27, 192)(28, 178)(29, 187)(30, 190)(31, 179)(32, 195)(33, 194)(34, 164)(35, 168)(36, 199)(37, 201)(38, 202)(39, 197)(40, 200)(41, 204)(42, 203)(43, 169)(44, 171)(45, 173)(46, 170)(47, 174)(48, 196)(49, 198)(50, 176)(51, 177)(52, 188)(53, 180)(54, 182)(55, 183)(56, 181)(57, 184)(58, 193)(59, 185)(60, 186)(61, 213)(62, 214)(63, 211)(64, 212)(65, 216)(66, 215)(67, 205)(68, 206)(69, 207)(70, 208)(71, 209)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 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 E19.1577
Graph:: bipartite
	v = 30 e = 144 f = 78
	degree seq :: [ 8^18, 12^12 ]

E19.1575 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1 * Y2)^2, Y1^6, Y1 * Y2 * Y1^-2 * Y2^-1 * Y1, Y2^5 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^2 * Y1 * Y2 * Y1^2 * Y2 * Y1, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 46, 118, 32, 104, 11, 83)(5, 77, 15, 87, 20, 92, 48, 120, 36, 108, 16, 88)(7, 79, 21, 93, 44, 116, 35, 107, 12, 84, 23, 95)(8, 80, 24, 96, 45, 117, 37, 109, 14, 86, 25, 97)(10, 82, 29, 101, 47, 119, 38, 110, 59, 131, 26, 98)(17, 89, 34, 106, 49, 121, 22, 94, 52, 124, 42, 114)(27, 99, 50, 122, 41, 113, 58, 130, 31, 103, 54, 126)(28, 100, 56, 128, 67, 139, 63, 135, 33, 105, 57, 129)(30, 102, 53, 125, 68, 140, 64, 136, 72, 144, 61, 133)(39, 111, 51, 123, 69, 141, 65, 137, 40, 112, 55, 127)(43, 115, 60, 132, 70, 142, 62, 134, 71, 143, 66, 138)(145, 217, 147, 219, 154, 226, 174, 246, 195, 267, 165, 237, 194, 266, 181, 253, 207, 279, 187, 259, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 197, 269, 211, 283, 190, 262, 185, 257, 160, 232, 184, 256, 204, 276, 170, 242, 152, 224)(148, 220, 156, 228, 178, 250, 205, 277, 172, 244, 153, 225, 171, 243, 192, 264, 213, 285, 210, 282, 182, 254, 158, 230)(150, 222, 163, 235, 191, 263, 212, 284, 209, 281, 179, 251, 202, 274, 169, 241, 201, 273, 214, 286, 193, 265, 164, 236)(155, 227, 175, 247, 159, 231, 183, 255, 206, 278, 173, 245, 189, 261, 162, 234, 188, 260, 186, 258, 208, 280, 177, 249)(157, 229, 176, 248, 203, 275, 216, 288, 199, 271, 167, 239, 198, 270, 168, 240, 200, 272, 215, 287, 196, 268, 180, 252)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 174)(11, 175)(12, 178)(13, 176)(14, 148)(15, 183)(16, 184)(17, 149)(18, 188)(19, 191)(20, 150)(21, 194)(22, 197)(23, 198)(24, 200)(25, 201)(26, 152)(27, 192)(28, 153)(29, 189)(30, 195)(31, 159)(32, 203)(33, 155)(34, 205)(35, 202)(36, 157)(37, 207)(38, 158)(39, 206)(40, 204)(41, 160)(42, 208)(43, 161)(44, 186)(45, 162)(46, 185)(47, 212)(48, 213)(49, 164)(50, 181)(51, 165)(52, 180)(53, 211)(54, 168)(55, 167)(56, 215)(57, 214)(58, 169)(59, 216)(60, 170)(61, 172)(62, 173)(63, 187)(64, 177)(65, 179)(66, 182)(67, 190)(68, 209)(69, 210)(70, 193)(71, 196)(72, 199)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 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 E19.1576
Graph:: bipartite
	v = 18 e = 144 f = 90
	degree seq :: [ 12^12, 24^6 ]

E19.1576 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y3^5 * Y2^-2 * Y3, (Y3^3 * Y2^-1)^2, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1, (Y3 * Y2)^6, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 148, 220)(147, 219, 153, 225, 161, 233, 155, 227)(149, 221, 158, 230, 162, 234, 159, 231)(151, 223, 163, 235, 156, 228, 165, 237)(152, 224, 166, 238, 157, 229, 167, 239)(154, 226, 171, 243, 185, 257, 173, 245)(160, 232, 182, 254, 186, 258, 183, 255)(164, 236, 189, 261, 176, 248, 191, 263)(168, 240, 198, 270, 177, 249, 199, 271)(169, 241, 187, 259, 174, 246, 192, 264)(170, 242, 194, 266, 175, 247, 196, 268)(172, 244, 190, 262, 184, 256, 200, 272)(178, 250, 188, 260, 180, 252, 193, 265)(179, 251, 195, 267, 181, 253, 197, 269)(201, 273, 211, 283, 207, 279, 213, 285)(202, 274, 210, 282, 208, 280, 216, 288)(203, 275, 209, 281, 205, 277, 215, 287)(204, 276, 212, 284, 206, 278, 214, 286)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 164)(8, 146)(9, 169)(10, 172)(11, 174)(12, 176)(13, 148)(14, 178)(15, 180)(16, 149)(17, 185)(18, 150)(19, 187)(20, 190)(21, 192)(22, 194)(23, 196)(24, 152)(25, 201)(26, 153)(27, 203)(28, 186)(29, 205)(30, 207)(31, 155)(32, 200)(33, 157)(34, 204)(35, 158)(36, 206)(37, 159)(38, 202)(39, 208)(40, 160)(41, 184)(42, 162)(43, 209)(44, 163)(45, 211)(46, 177)(47, 213)(48, 215)(49, 165)(50, 212)(51, 166)(52, 214)(53, 167)(54, 210)(55, 216)(56, 168)(57, 183)(58, 170)(59, 181)(60, 171)(61, 179)(62, 173)(63, 182)(64, 175)(65, 199)(66, 188)(67, 197)(68, 189)(69, 195)(70, 191)(71, 198)(72, 193)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1575
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.1577 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3^4, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^3 * Y3^-1 * Y1^-2, (Y3 * Y1^-3)^2, (Y3 * Y2^-1)^4, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 17, 89, 41, 113, 28, 100, 10, 82, 21, 93, 45, 117, 35, 107, 13, 85, 4, 76)(3, 75, 9, 81, 25, 97, 42, 114, 40, 112, 16, 88, 5, 77, 15, 87, 39, 111, 43, 115, 30, 102, 11, 83)(7, 79, 20, 92, 49, 121, 36, 108, 56, 128, 24, 96, 8, 80, 23, 95, 55, 127, 34, 106, 53, 125, 22, 94)(12, 84, 32, 104, 46, 118, 18, 90, 44, 116, 38, 110, 14, 86, 37, 109, 48, 120, 19, 91, 47, 119, 33, 105)(26, 98, 50, 122, 65, 137, 63, 135, 72, 144, 60, 132, 27, 99, 51, 123, 66, 138, 62, 134, 71, 143, 59, 131)(29, 101, 52, 124, 67, 139, 57, 129, 69, 141, 64, 136, 31, 103, 54, 126, 68, 140, 58, 130, 70, 142, 61, 133)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 162)(7, 165)(8, 146)(9, 170)(10, 149)(11, 173)(12, 172)(13, 178)(14, 148)(15, 171)(16, 175)(17, 186)(18, 189)(19, 150)(20, 194)(21, 152)(22, 196)(23, 195)(24, 198)(25, 201)(26, 159)(27, 153)(28, 158)(29, 160)(30, 206)(31, 155)(32, 203)(33, 205)(34, 185)(35, 187)(36, 157)(37, 204)(38, 208)(39, 202)(40, 207)(41, 180)(42, 179)(43, 161)(44, 209)(45, 163)(46, 211)(47, 210)(48, 212)(49, 213)(50, 167)(51, 164)(52, 168)(53, 215)(54, 166)(55, 214)(56, 216)(57, 183)(58, 169)(59, 181)(60, 176)(61, 182)(62, 184)(63, 174)(64, 177)(65, 191)(66, 188)(67, 192)(68, 190)(69, 199)(70, 193)(71, 200)(72, 197)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12 ), ( 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 E19.1574
Graph:: simple bipartite
	v = 78 e = 144 f = 30
	degree seq :: [ 2^72, 24^6 ]

E19.1578 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1 * Y3^-1 * Y1^2, (R * Y3)^2, Y1^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1, Y3^-1 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2^-4 * Y1 * Y3^-1 * Y2^-2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^3 * Y3 * Y2^3 * Y1^-1, (Y2^-1 * R * Y2^-2)^2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 17, 89, 11, 83)(5, 77, 14, 86, 18, 90, 15, 87)(7, 79, 19, 91, 12, 84, 21, 93)(8, 80, 22, 94, 13, 85, 23, 95)(10, 82, 27, 99, 41, 113, 29, 101)(16, 88, 38, 110, 42, 114, 39, 111)(20, 92, 45, 117, 32, 104, 47, 119)(24, 96, 54, 126, 33, 105, 55, 127)(25, 97, 43, 115, 30, 102, 48, 120)(26, 98, 50, 122, 31, 103, 52, 124)(28, 100, 46, 118, 40, 112, 56, 128)(34, 106, 44, 116, 36, 108, 49, 121)(35, 107, 51, 123, 37, 109, 53, 125)(57, 129, 67, 139, 63, 135, 69, 141)(58, 130, 66, 138, 64, 136, 72, 144)(59, 131, 65, 137, 61, 133, 71, 143)(60, 132, 68, 140, 62, 134, 70, 142)(145, 217, 147, 219, 154, 226, 172, 244, 186, 258, 162, 234, 150, 222, 161, 233, 185, 257, 184, 256, 160, 232, 149, 221)(146, 218, 151, 223, 164, 236, 190, 262, 177, 249, 157, 229, 148, 220, 156, 228, 176, 248, 200, 272, 168, 240, 152, 224)(153, 225, 169, 241, 201, 273, 183, 255, 208, 280, 175, 247, 155, 227, 174, 246, 207, 279, 182, 254, 202, 274, 170, 242)(158, 230, 178, 250, 204, 276, 171, 243, 203, 275, 181, 253, 159, 231, 180, 252, 206, 278, 173, 245, 205, 277, 179, 251)(163, 235, 187, 259, 209, 281, 199, 271, 216, 288, 193, 265, 165, 237, 192, 264, 215, 287, 198, 270, 210, 282, 188, 260)(166, 238, 194, 266, 212, 284, 189, 261, 211, 283, 197, 269, 167, 239, 196, 268, 214, 286, 191, 263, 213, 285, 195, 267)
	L = (1, 148)(2, 145)(3, 155)(4, 150)(5, 159)(6, 146)(7, 165)(8, 167)(9, 147)(10, 173)(11, 161)(12, 163)(13, 166)(14, 149)(15, 162)(16, 183)(17, 153)(18, 158)(19, 151)(20, 191)(21, 156)(22, 152)(23, 157)(24, 199)(25, 192)(26, 196)(27, 154)(28, 200)(29, 185)(30, 187)(31, 194)(32, 189)(33, 198)(34, 193)(35, 197)(36, 188)(37, 195)(38, 160)(39, 186)(40, 190)(41, 171)(42, 182)(43, 169)(44, 178)(45, 164)(46, 172)(47, 176)(48, 174)(49, 180)(50, 170)(51, 179)(52, 175)(53, 181)(54, 168)(55, 177)(56, 184)(57, 213)(58, 216)(59, 215)(60, 214)(61, 209)(62, 212)(63, 211)(64, 210)(65, 203)(66, 202)(67, 201)(68, 204)(69, 207)(70, 206)(71, 205)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ), ( 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 E19.1579
Graph:: bipartite
	v = 24 e = 144 f = 84
	degree seq :: [ 8^18, 24^6 ]

E19.1579 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y1^6, Y1 * Y3 * Y1^-2 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3^3 * Y1 * Y3^-3 * Y1^-1, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 46, 118, 32, 104, 11, 83)(5, 77, 15, 87, 20, 92, 48, 120, 36, 108, 16, 88)(7, 79, 21, 93, 44, 116, 35, 107, 12, 84, 23, 95)(8, 80, 24, 96, 45, 117, 37, 109, 14, 86, 25, 97)(10, 82, 29, 101, 47, 119, 38, 110, 59, 131, 26, 98)(17, 89, 34, 106, 49, 121, 22, 94, 52, 124, 42, 114)(27, 99, 50, 122, 41, 113, 58, 130, 31, 103, 54, 126)(28, 100, 56, 128, 67, 139, 63, 135, 33, 105, 57, 129)(30, 102, 53, 125, 68, 140, 64, 136, 72, 144, 61, 133)(39, 111, 51, 123, 69, 141, 65, 137, 40, 112, 55, 127)(43, 115, 60, 132, 70, 142, 62, 134, 71, 143, 66, 138)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 174)(11, 175)(12, 178)(13, 176)(14, 148)(15, 183)(16, 184)(17, 149)(18, 188)(19, 191)(20, 150)(21, 194)(22, 197)(23, 198)(24, 200)(25, 201)(26, 152)(27, 192)(28, 153)(29, 189)(30, 195)(31, 159)(32, 203)(33, 155)(34, 205)(35, 202)(36, 157)(37, 207)(38, 158)(39, 206)(40, 204)(41, 160)(42, 208)(43, 161)(44, 186)(45, 162)(46, 185)(47, 212)(48, 213)(49, 164)(50, 181)(51, 165)(52, 180)(53, 211)(54, 168)(55, 167)(56, 215)(57, 214)(58, 169)(59, 216)(60, 170)(61, 172)(62, 173)(63, 187)(64, 177)(65, 179)(66, 182)(67, 190)(68, 209)(69, 210)(70, 193)(71, 196)(72, 199)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1578
Graph:: simple bipartite
	v = 84 e = 144 f = 24
	degree seq :: [ 2^72, 12^12 ]

E19.1580 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = C6 x (C3 : C4) (small group id <72, 29>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2 * T1^2 * T2^-1 * T1, T2^6, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-3 * T1 * T2^-3 * T1^-1, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 16, 5)(2, 7, 20, 45, 24, 8)(4, 12, 32, 59, 33, 13)(6, 17, 40, 64, 41, 18)(9, 25, 55, 38, 56, 26)(11, 30, 62, 39, 63, 31)(14, 34, 58, 27, 57, 35)(15, 36, 61, 29, 60, 37)(19, 42, 65, 53, 66, 43)(21, 47, 71, 54, 72, 48)(22, 49, 68, 44, 67, 50)(23, 51, 70, 46, 69, 52)(73, 74, 78, 76)(75, 81, 89, 83)(77, 86, 90, 87)(79, 91, 84, 93)(80, 94, 85, 95)(82, 99, 112, 101)(88, 110, 113, 111)(92, 116, 104, 118)(96, 125, 105, 126)(97, 114, 102, 119)(98, 121, 103, 123)(100, 117, 136, 131)(106, 115, 108, 120)(107, 122, 109, 124)(127, 139, 134, 141)(128, 138, 135, 144)(129, 137, 132, 143)(130, 140, 133, 142)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E19.1584
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 72 f = 6
	degree seq :: [ 4^18, 6^12 ]

E19.1581 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = C6 x (C3 : C4) (small group id <72, 29>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-3 * T1, T2 * T1 * T2^-2 * T1^-1 * T2, T1^6, T2 * T1^-3 * T2^-1 * T1^-3, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, (T1^-1 * T2^-1)^4, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, T1 * T2 * T1 * T2^7 ]
Map:: non-degenerate
	R = (1, 3, 10, 24, 53, 21, 52, 38, 65, 34, 17, 5)(2, 7, 22, 48, 68, 45, 42, 16, 32, 11, 26, 8)(4, 12, 30, 15, 29, 9, 28, 56, 71, 51, 39, 14)(6, 19, 46, 41, 64, 31, 58, 25, 55, 23, 50, 20)(13, 35, 63, 37, 62, 33, 61, 40, 60, 27, 59, 36)(18, 43, 66, 57, 72, 54, 70, 49, 69, 47, 67, 44)(73, 74, 78, 90, 85, 76)(75, 81, 99, 115, 103, 83)(77, 87, 112, 116, 113, 88)(79, 93, 123, 107, 126, 95)(80, 96, 128, 108, 129, 97)(82, 94, 118, 138, 135, 102)(84, 105, 119, 91, 117, 106)(86, 109, 121, 92, 120, 110)(89, 98, 122, 139, 131, 111)(100, 124, 114, 130, 142, 133)(101, 125, 140, 136, 144, 134)(104, 127, 141, 132, 143, 137)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1585
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 6^12, 12^6 ]

E19.1582 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = C6 x (C3 : C4) (small group id <72, 29>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, T1^-2 * T2 * T1^2 * T2^-1, T1^-3 * T2^2 * T1^-3, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 27, 14)(6, 18, 39, 19)(9, 25, 15, 26)(11, 28, 16, 30)(13, 29, 35, 33)(17, 36, 32, 37)(20, 41, 23, 42)(22, 43, 24, 44)(31, 51, 34, 52)(38, 53, 40, 54)(45, 61, 47, 62)(46, 63, 48, 64)(49, 65, 50, 66)(55, 67, 57, 68)(56, 69, 58, 70)(59, 71, 60, 72)(73, 74, 78, 89, 107, 99, 82, 93, 111, 104, 85, 76)(75, 81, 90, 110, 105, 88, 77, 87, 91, 112, 101, 83)(79, 92, 108, 106, 86, 96, 80, 95, 109, 103, 84, 94)(97, 117, 125, 122, 102, 120, 98, 119, 126, 121, 100, 118)(113, 127, 124, 132, 116, 130, 114, 129, 123, 131, 115, 128)(133, 139, 138, 144, 136, 142, 134, 140, 137, 143, 135, 141)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1583
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 4^18, 12^6 ]

E19.1583 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = C6 x (C3 : C4) (small group id <72, 29>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2 * T1^2 * T2^-1 * T1, T2^6, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-3 * T1 * T2^-3 * T1^-1, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 10, 82, 28, 100, 16, 88, 5, 77)(2, 74, 7, 79, 20, 92, 45, 117, 24, 96, 8, 80)(4, 76, 12, 84, 32, 104, 59, 131, 33, 105, 13, 85)(6, 78, 17, 89, 40, 112, 64, 136, 41, 113, 18, 90)(9, 81, 25, 97, 55, 127, 38, 110, 56, 128, 26, 98)(11, 83, 30, 102, 62, 134, 39, 111, 63, 135, 31, 103)(14, 86, 34, 106, 58, 130, 27, 99, 57, 129, 35, 107)(15, 87, 36, 108, 61, 133, 29, 101, 60, 132, 37, 109)(19, 91, 42, 114, 65, 137, 53, 125, 66, 138, 43, 115)(21, 93, 47, 119, 71, 143, 54, 126, 72, 144, 48, 120)(22, 94, 49, 121, 68, 140, 44, 116, 67, 139, 50, 122)(23, 95, 51, 123, 70, 142, 46, 118, 69, 141, 52, 124)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 91)(8, 94)(9, 89)(10, 99)(11, 75)(12, 93)(13, 95)(14, 90)(15, 77)(16, 110)(17, 83)(18, 87)(19, 84)(20, 116)(21, 79)(22, 85)(23, 80)(24, 125)(25, 114)(26, 121)(27, 112)(28, 117)(29, 82)(30, 119)(31, 123)(32, 118)(33, 126)(34, 115)(35, 122)(36, 120)(37, 124)(38, 113)(39, 88)(40, 101)(41, 111)(42, 102)(43, 108)(44, 104)(45, 136)(46, 92)(47, 97)(48, 106)(49, 103)(50, 109)(51, 98)(52, 107)(53, 105)(54, 96)(55, 139)(56, 138)(57, 137)(58, 140)(59, 100)(60, 143)(61, 142)(62, 141)(63, 144)(64, 131)(65, 132)(66, 135)(67, 134)(68, 133)(69, 127)(70, 130)(71, 129)(72, 128)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1582
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.1584 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = C6 x (C3 : C4) (small group id <72, 29>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-3 * T1, T2 * T1 * T2^-2 * T1^-1 * T2, T1^6, T2 * T1^-3 * T2^-1 * T1^-3, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, (T1^-1 * T2^-1)^4, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, T1 * T2 * T1 * T2^7 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 24, 96, 53, 125, 21, 93, 52, 124, 38, 110, 65, 137, 34, 106, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 48, 120, 68, 140, 45, 117, 42, 114, 16, 88, 32, 104, 11, 83, 26, 98, 8, 80)(4, 76, 12, 84, 30, 102, 15, 87, 29, 101, 9, 81, 28, 100, 56, 128, 71, 143, 51, 123, 39, 111, 14, 86)(6, 78, 19, 91, 46, 118, 41, 113, 64, 136, 31, 103, 58, 130, 25, 97, 55, 127, 23, 95, 50, 122, 20, 92)(13, 85, 35, 107, 63, 135, 37, 109, 62, 134, 33, 105, 61, 133, 40, 112, 60, 132, 27, 99, 59, 131, 36, 108)(18, 90, 43, 115, 66, 138, 57, 129, 72, 144, 54, 126, 70, 142, 49, 121, 69, 141, 47, 119, 67, 139, 44, 116)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 99)(10, 94)(11, 75)(12, 105)(13, 76)(14, 109)(15, 112)(16, 77)(17, 98)(18, 85)(19, 117)(20, 120)(21, 123)(22, 118)(23, 79)(24, 128)(25, 80)(26, 122)(27, 115)(28, 124)(29, 125)(30, 82)(31, 83)(32, 127)(33, 119)(34, 84)(35, 126)(36, 129)(37, 121)(38, 86)(39, 89)(40, 116)(41, 88)(42, 130)(43, 103)(44, 113)(45, 106)(46, 138)(47, 91)(48, 110)(49, 92)(50, 139)(51, 107)(52, 114)(53, 140)(54, 95)(55, 141)(56, 108)(57, 97)(58, 142)(59, 111)(60, 143)(61, 100)(62, 101)(63, 102)(64, 144)(65, 104)(66, 135)(67, 131)(68, 136)(69, 132)(70, 133)(71, 137)(72, 134)
	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 E19.1580
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 30
	degree seq :: [ 24^6 ]

E19.1585 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = C6 x (C3 : C4) (small group id <72, 29>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, T1^-2 * T2 * T1^2 * T2^-1, T1^-3 * T2^2 * T1^-3, (T2 * T1^-1)^6 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 5, 77)(2, 74, 7, 79, 21, 93, 8, 80)(4, 76, 12, 84, 27, 99, 14, 86)(6, 78, 18, 90, 39, 111, 19, 91)(9, 81, 25, 97, 15, 87, 26, 98)(11, 83, 28, 100, 16, 88, 30, 102)(13, 85, 29, 101, 35, 107, 33, 105)(17, 89, 36, 108, 32, 104, 37, 109)(20, 92, 41, 113, 23, 95, 42, 114)(22, 94, 43, 115, 24, 96, 44, 116)(31, 103, 51, 123, 34, 106, 52, 124)(38, 110, 53, 125, 40, 112, 54, 126)(45, 117, 61, 133, 47, 119, 62, 134)(46, 118, 63, 135, 48, 120, 64, 136)(49, 121, 65, 137, 50, 122, 66, 138)(55, 127, 67, 139, 57, 129, 68, 140)(56, 128, 69, 141, 58, 130, 70, 142)(59, 131, 71, 143, 60, 132, 72, 144)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 89)(7, 92)(8, 95)(9, 90)(10, 93)(11, 75)(12, 94)(13, 76)(14, 96)(15, 91)(16, 77)(17, 107)(18, 110)(19, 112)(20, 108)(21, 111)(22, 79)(23, 109)(24, 80)(25, 117)(26, 119)(27, 82)(28, 118)(29, 83)(30, 120)(31, 84)(32, 85)(33, 88)(34, 86)(35, 99)(36, 106)(37, 103)(38, 105)(39, 104)(40, 101)(41, 127)(42, 129)(43, 128)(44, 130)(45, 125)(46, 97)(47, 126)(48, 98)(49, 100)(50, 102)(51, 131)(52, 132)(53, 122)(54, 121)(55, 124)(56, 113)(57, 123)(58, 114)(59, 115)(60, 116)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 138)(68, 137)(69, 133)(70, 134)(71, 135)(72, 136)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1581
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.1586 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C6 x (C3 : C4) (small group id <72, 29>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, Y1^4, (R * Y1)^2, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-1, Y2^6, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-3 * Y3^-1 * Y2^-3, Y2^-3 * Y1 * Y2^-3 * Y1^-1, (Y2^-2 * R * Y2^-1)^2, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 17, 89, 11, 83)(5, 77, 14, 86, 18, 90, 15, 87)(7, 79, 19, 91, 12, 84, 21, 93)(8, 80, 22, 94, 13, 85, 23, 95)(10, 82, 27, 99, 40, 112, 29, 101)(16, 88, 38, 110, 41, 113, 39, 111)(20, 92, 44, 116, 32, 104, 46, 118)(24, 96, 53, 125, 33, 105, 54, 126)(25, 97, 42, 114, 30, 102, 47, 119)(26, 98, 49, 121, 31, 103, 51, 123)(28, 100, 45, 117, 64, 136, 59, 131)(34, 106, 43, 115, 36, 108, 48, 120)(35, 107, 50, 122, 37, 109, 52, 124)(55, 127, 67, 139, 62, 134, 69, 141)(56, 128, 66, 138, 63, 135, 72, 144)(57, 129, 65, 137, 60, 132, 71, 143)(58, 130, 68, 140, 61, 133, 70, 142)(145, 217, 147, 219, 154, 226, 172, 244, 160, 232, 149, 221)(146, 218, 151, 223, 164, 236, 189, 261, 168, 240, 152, 224)(148, 220, 156, 228, 176, 248, 203, 275, 177, 249, 157, 229)(150, 222, 161, 233, 184, 256, 208, 280, 185, 257, 162, 234)(153, 225, 169, 241, 199, 271, 182, 254, 200, 272, 170, 242)(155, 227, 174, 246, 206, 278, 183, 255, 207, 279, 175, 247)(158, 230, 178, 250, 202, 274, 171, 243, 201, 273, 179, 251)(159, 231, 180, 252, 205, 277, 173, 245, 204, 276, 181, 253)(163, 235, 186, 258, 209, 281, 197, 269, 210, 282, 187, 259)(165, 237, 191, 263, 215, 287, 198, 270, 216, 288, 192, 264)(166, 238, 193, 265, 212, 284, 188, 260, 211, 283, 194, 266)(167, 239, 195, 267, 214, 286, 190, 262, 213, 285, 196, 268)
	L = (1, 148)(2, 145)(3, 155)(4, 150)(5, 159)(6, 146)(7, 165)(8, 167)(9, 147)(10, 173)(11, 161)(12, 163)(13, 166)(14, 149)(15, 162)(16, 183)(17, 153)(18, 158)(19, 151)(20, 190)(21, 156)(22, 152)(23, 157)(24, 198)(25, 191)(26, 195)(27, 154)(28, 203)(29, 184)(30, 186)(31, 193)(32, 188)(33, 197)(34, 192)(35, 196)(36, 187)(37, 194)(38, 160)(39, 185)(40, 171)(41, 182)(42, 169)(43, 178)(44, 164)(45, 172)(46, 176)(47, 174)(48, 180)(49, 170)(50, 179)(51, 175)(52, 181)(53, 168)(54, 177)(55, 213)(56, 216)(57, 215)(58, 214)(59, 208)(60, 209)(61, 212)(62, 211)(63, 210)(64, 189)(65, 201)(66, 200)(67, 199)(68, 202)(69, 206)(70, 205)(71, 204)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1589
Graph:: bipartite
	v = 30 e = 144 f = 78
	degree seq :: [ 8^18, 12^12 ]

E19.1587 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C6 x (C3 : C4) (small group id <72, 29>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^3 * Y1^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y1^6, Y2 * Y1^-3 * Y2^-1 * Y1^-3, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y2^-1)^4, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 43, 115, 31, 103, 11, 83)(5, 77, 15, 87, 40, 112, 44, 116, 41, 113, 16, 88)(7, 79, 21, 93, 51, 123, 35, 107, 54, 126, 23, 95)(8, 80, 24, 96, 56, 128, 36, 108, 57, 129, 25, 97)(10, 82, 22, 94, 46, 118, 66, 138, 63, 135, 30, 102)(12, 84, 33, 105, 47, 119, 19, 91, 45, 117, 34, 106)(14, 86, 37, 109, 49, 121, 20, 92, 48, 120, 38, 110)(17, 89, 26, 98, 50, 122, 67, 139, 59, 131, 39, 111)(28, 100, 52, 124, 42, 114, 58, 130, 70, 142, 61, 133)(29, 101, 53, 125, 68, 140, 64, 136, 72, 144, 62, 134)(32, 104, 55, 127, 69, 141, 60, 132, 71, 143, 65, 137)(145, 217, 147, 219, 154, 226, 168, 240, 197, 269, 165, 237, 196, 268, 182, 254, 209, 281, 178, 250, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 192, 264, 212, 284, 189, 261, 186, 258, 160, 232, 176, 248, 155, 227, 170, 242, 152, 224)(148, 220, 156, 228, 174, 246, 159, 231, 173, 245, 153, 225, 172, 244, 200, 272, 215, 287, 195, 267, 183, 255, 158, 230)(150, 222, 163, 235, 190, 262, 185, 257, 208, 280, 175, 247, 202, 274, 169, 241, 199, 271, 167, 239, 194, 266, 164, 236)(157, 229, 179, 251, 207, 279, 181, 253, 206, 278, 177, 249, 205, 277, 184, 256, 204, 276, 171, 243, 203, 275, 180, 252)(162, 234, 187, 259, 210, 282, 201, 273, 216, 288, 198, 270, 214, 286, 193, 265, 213, 285, 191, 263, 211, 283, 188, 260)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 168)(11, 170)(12, 174)(13, 179)(14, 148)(15, 173)(16, 176)(17, 149)(18, 187)(19, 190)(20, 150)(21, 196)(22, 192)(23, 194)(24, 197)(25, 199)(26, 152)(27, 203)(28, 200)(29, 153)(30, 159)(31, 202)(32, 155)(33, 205)(34, 161)(35, 207)(36, 157)(37, 206)(38, 209)(39, 158)(40, 204)(41, 208)(42, 160)(43, 210)(44, 162)(45, 186)(46, 185)(47, 211)(48, 212)(49, 213)(50, 164)(51, 183)(52, 182)(53, 165)(54, 214)(55, 167)(56, 215)(57, 216)(58, 169)(59, 180)(60, 171)(61, 184)(62, 177)(63, 181)(64, 175)(65, 178)(66, 201)(67, 188)(68, 189)(69, 191)(70, 193)(71, 195)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 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 E19.1588
Graph:: bipartite
	v = 18 e = 144 f = 90
	degree seq :: [ 12^12, 24^6 ]

E19.1588 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C6 x (C3 : C4) (small group id <72, 29>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y3^2 * Y2^-1 * Y3^-2 * Y2, Y3^-3 * Y2^2 * Y3^-3, (Y3 * Y2)^6, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 148, 220)(147, 219, 153, 225, 161, 233, 155, 227)(149, 221, 158, 230, 162, 234, 159, 231)(151, 223, 163, 235, 156, 228, 165, 237)(152, 224, 166, 238, 157, 229, 167, 239)(154, 226, 164, 236, 179, 251, 172, 244)(160, 232, 168, 240, 180, 252, 175, 247)(169, 241, 189, 261, 173, 245, 191, 263)(170, 242, 192, 264, 174, 246, 193, 265)(171, 243, 190, 262, 178, 250, 194, 266)(176, 248, 195, 267, 177, 249, 196, 268)(181, 253, 197, 269, 184, 256, 199, 271)(182, 254, 200, 272, 185, 257, 201, 273)(183, 255, 198, 270, 188, 260, 202, 274)(186, 258, 203, 275, 187, 259, 204, 276)(205, 277, 211, 283, 207, 279, 213, 285)(206, 278, 212, 284, 208, 280, 214, 286)(209, 281, 215, 287, 210, 282, 216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 164)(8, 146)(9, 169)(10, 171)(11, 173)(12, 172)(13, 148)(14, 170)(15, 174)(16, 149)(17, 179)(18, 150)(19, 181)(20, 183)(21, 184)(22, 182)(23, 185)(24, 152)(25, 190)(26, 153)(27, 180)(28, 188)(29, 194)(30, 155)(31, 157)(32, 158)(33, 159)(34, 160)(35, 178)(36, 162)(37, 198)(38, 163)(39, 175)(40, 202)(41, 165)(42, 166)(43, 167)(44, 168)(45, 205)(46, 177)(47, 207)(48, 206)(49, 208)(50, 176)(51, 209)(52, 210)(53, 211)(54, 187)(55, 213)(56, 212)(57, 214)(58, 186)(59, 215)(60, 216)(61, 196)(62, 189)(63, 195)(64, 191)(65, 192)(66, 193)(67, 204)(68, 197)(69, 203)(70, 199)(71, 200)(72, 201)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1587
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.1589 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C6 x (C3 : C4) (small group id <72, 29>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^2 * Y3^-1, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y1^-3 * Y3^2 * Y1^-3, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 17, 89, 35, 107, 27, 99, 10, 82, 21, 93, 39, 111, 32, 104, 13, 85, 4, 76)(3, 75, 9, 81, 18, 90, 38, 110, 33, 105, 16, 88, 5, 77, 15, 87, 19, 91, 40, 112, 29, 101, 11, 83)(7, 79, 20, 92, 36, 108, 34, 106, 14, 86, 24, 96, 8, 80, 23, 95, 37, 109, 31, 103, 12, 84, 22, 94)(25, 97, 45, 117, 53, 125, 50, 122, 30, 102, 48, 120, 26, 98, 47, 119, 54, 126, 49, 121, 28, 100, 46, 118)(41, 113, 55, 127, 52, 124, 60, 132, 44, 116, 58, 130, 42, 114, 57, 129, 51, 123, 59, 131, 43, 115, 56, 128)(61, 133, 67, 139, 66, 138, 72, 144, 64, 136, 70, 142, 62, 134, 68, 140, 65, 137, 71, 143, 63, 135, 69, 141)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 162)(7, 165)(8, 146)(9, 169)(10, 149)(11, 172)(12, 171)(13, 173)(14, 148)(15, 170)(16, 174)(17, 180)(18, 183)(19, 150)(20, 185)(21, 152)(22, 187)(23, 186)(24, 188)(25, 159)(26, 153)(27, 158)(28, 160)(29, 179)(30, 155)(31, 195)(32, 181)(33, 157)(34, 196)(35, 177)(36, 176)(37, 161)(38, 197)(39, 163)(40, 198)(41, 167)(42, 164)(43, 168)(44, 166)(45, 205)(46, 207)(47, 206)(48, 208)(49, 209)(50, 210)(51, 178)(52, 175)(53, 184)(54, 182)(55, 211)(56, 213)(57, 212)(58, 214)(59, 215)(60, 216)(61, 191)(62, 189)(63, 192)(64, 190)(65, 194)(66, 193)(67, 201)(68, 199)(69, 202)(70, 200)(71, 204)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12 ), ( 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 E19.1586
Graph:: simple bipartite
	v = 78 e = 144 f = 30
	degree seq :: [ 2^72, 24^6 ]

E19.1590 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C6 x (C3 : C4) (small group id <72, 29>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y2 * Y1^-2 * Y2^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y1 * Y2^2 * Y1^-1, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^-3 * Y1 * Y3^-1 * Y2^-3, Y3^-1 * Y1 * Y2^-1 * R * Y2^2 * R * Y2^-3, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 17, 89, 11, 83)(5, 77, 14, 86, 18, 90, 15, 87)(7, 79, 19, 91, 12, 84, 21, 93)(8, 80, 22, 94, 13, 85, 23, 95)(10, 82, 20, 92, 35, 107, 28, 100)(16, 88, 24, 96, 36, 108, 31, 103)(25, 97, 45, 117, 29, 101, 47, 119)(26, 98, 48, 120, 30, 102, 49, 121)(27, 99, 46, 118, 34, 106, 50, 122)(32, 104, 51, 123, 33, 105, 52, 124)(37, 109, 53, 125, 40, 112, 55, 127)(38, 110, 56, 128, 41, 113, 57, 129)(39, 111, 54, 126, 44, 116, 58, 130)(42, 114, 59, 131, 43, 115, 60, 132)(61, 133, 67, 139, 63, 135, 69, 141)(62, 134, 68, 140, 64, 136, 70, 142)(65, 137, 71, 143, 66, 138, 72, 144)(145, 217, 147, 219, 154, 226, 171, 243, 180, 252, 162, 234, 150, 222, 161, 233, 179, 251, 178, 250, 160, 232, 149, 221)(146, 218, 151, 223, 164, 236, 183, 255, 175, 247, 157, 229, 148, 220, 156, 228, 172, 244, 188, 260, 168, 240, 152, 224)(153, 225, 169, 241, 190, 262, 177, 249, 159, 231, 174, 246, 155, 227, 173, 245, 194, 266, 176, 248, 158, 230, 170, 242)(163, 235, 181, 253, 198, 270, 187, 259, 167, 239, 185, 257, 165, 237, 184, 256, 202, 274, 186, 258, 166, 238, 182, 254)(189, 261, 205, 277, 196, 268, 210, 282, 193, 265, 208, 280, 191, 263, 207, 279, 195, 267, 209, 281, 192, 264, 206, 278)(197, 269, 211, 283, 204, 276, 216, 288, 201, 273, 214, 286, 199, 271, 213, 285, 203, 275, 215, 287, 200, 272, 212, 284)
	L = (1, 148)(2, 145)(3, 155)(4, 150)(5, 159)(6, 146)(7, 165)(8, 167)(9, 147)(10, 172)(11, 161)(12, 163)(13, 166)(14, 149)(15, 162)(16, 175)(17, 153)(18, 158)(19, 151)(20, 154)(21, 156)(22, 152)(23, 157)(24, 160)(25, 191)(26, 193)(27, 194)(28, 179)(29, 189)(30, 192)(31, 180)(32, 196)(33, 195)(34, 190)(35, 164)(36, 168)(37, 199)(38, 201)(39, 202)(40, 197)(41, 200)(42, 204)(43, 203)(44, 198)(45, 169)(46, 171)(47, 173)(48, 170)(49, 174)(50, 178)(51, 176)(52, 177)(53, 181)(54, 183)(55, 184)(56, 182)(57, 185)(58, 188)(59, 186)(60, 187)(61, 213)(62, 214)(63, 211)(64, 212)(65, 216)(66, 215)(67, 205)(68, 206)(69, 207)(70, 208)(71, 209)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ), ( 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 E19.1591
Graph:: bipartite
	v = 24 e = 144 f = 84
	degree seq :: [ 8^18, 24^6 ]

E19.1591 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C6 x (C3 : C4) (small group id <72, 29>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^3 * Y1^-1, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y1^6, Y3 * Y1^-3 * Y3^-1 * Y1^-3, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 43, 115, 31, 103, 11, 83)(5, 77, 15, 87, 40, 112, 44, 116, 41, 113, 16, 88)(7, 79, 21, 93, 51, 123, 35, 107, 54, 126, 23, 95)(8, 80, 24, 96, 56, 128, 36, 108, 57, 129, 25, 97)(10, 82, 22, 94, 46, 118, 66, 138, 63, 135, 30, 102)(12, 84, 33, 105, 47, 119, 19, 91, 45, 117, 34, 106)(14, 86, 37, 109, 49, 121, 20, 92, 48, 120, 38, 110)(17, 89, 26, 98, 50, 122, 67, 139, 59, 131, 39, 111)(28, 100, 52, 124, 42, 114, 58, 130, 70, 142, 61, 133)(29, 101, 53, 125, 68, 140, 64, 136, 72, 144, 62, 134)(32, 104, 55, 127, 69, 141, 60, 132, 71, 143, 65, 137)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 168)(11, 170)(12, 174)(13, 179)(14, 148)(15, 173)(16, 176)(17, 149)(18, 187)(19, 190)(20, 150)(21, 196)(22, 192)(23, 194)(24, 197)(25, 199)(26, 152)(27, 203)(28, 200)(29, 153)(30, 159)(31, 202)(32, 155)(33, 205)(34, 161)(35, 207)(36, 157)(37, 206)(38, 209)(39, 158)(40, 204)(41, 208)(42, 160)(43, 210)(44, 162)(45, 186)(46, 185)(47, 211)(48, 212)(49, 213)(50, 164)(51, 183)(52, 182)(53, 165)(54, 214)(55, 167)(56, 215)(57, 216)(58, 169)(59, 180)(60, 171)(61, 184)(62, 177)(63, 181)(64, 175)(65, 178)(66, 201)(67, 188)(68, 189)(69, 191)(70, 193)(71, 195)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1590
Graph:: simple bipartite
	v = 84 e = 144 f = 24
	degree seq :: [ 2^72, 12^12 ]

E19.1592 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^-1 * T2^-2 * T1^-1, T2^2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1, T1^-1 * T2^5 * T1^-1 * T2, T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1, (T1^-1 * T2^-3)^2, (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 48, 19, 47, 31, 60, 41, 15, 5)(2, 6, 17, 44, 64, 32, 28, 10, 27, 52, 21, 7)(4, 11, 30, 62, 36, 13, 35, 18, 46, 56, 34, 12)(8, 22, 53, 40, 20, 49, 59, 26, 58, 50, 54, 23)(14, 37, 67, 63, 57, 39, 68, 61, 29, 24, 55, 38)(16, 42, 69, 51, 33, 65, 72, 45, 71, 66, 70, 43)(73, 74, 76)(75, 80, 82)(77, 85, 86)(78, 88, 90)(79, 91, 92)(81, 96, 98)(83, 101, 103)(84, 104, 105)(87, 111, 112)(89, 94, 117)(93, 122, 123)(95, 119, 109)(97, 128, 129)(99, 118, 132)(100, 121, 115)(102, 114, 135)(106, 138, 110)(107, 137, 133)(108, 120, 136)(113, 130, 116)(124, 143, 134)(125, 127, 141)(126, 140, 142)(131, 139, 144)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1594
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 72 f = 6
	degree seq :: [ 3^24, 12^6 ]

E19.1593 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1^-1)^2, (F * T1)^2, (F * T2)^2, (T2^2 * T1)^3, T2^4 * T1 * T2^-4 * T1^-1, T2^12, (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 20, 38, 52, 72, 66, 48, 26, 13, 5)(2, 6, 15, 30, 53, 64, 69, 47, 57, 32, 16, 7)(4, 10, 21, 40, 62, 37, 61, 56, 67, 42, 22, 11)(8, 17, 33, 58, 51, 29, 46, 25, 45, 59, 34, 18)(12, 23, 43, 60, 36, 19, 35, 41, 65, 68, 44, 24)(14, 27, 49, 70, 63, 39, 55, 31, 54, 71, 50, 28)(73, 74, 76)(75, 80, 79)(77, 82, 84)(78, 86, 83)(81, 91, 90)(85, 95, 97)(87, 101, 100)(88, 89, 103)(92, 109, 108)(93, 111, 96)(94, 99, 113)(98, 117, 119)(102, 124, 123)(104, 126, 128)(105, 116, 127)(106, 107, 121)(110, 125, 134)(112, 136, 135)(114, 137, 138)(115, 122, 118)(120, 129, 139)(130, 144, 140)(131, 142, 141)(132, 133, 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) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1595
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 72 f = 6
	degree seq :: [ 3^24, 12^6 ]

E19.1594 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^-1 * T2^-2 * T1^-1, T2^2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1, T1^-1 * T2^5 * T1^-1 * T2, T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1, (T1^-1 * T2^-3)^2, (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 9, 81, 25, 97, 48, 120, 19, 91, 47, 119, 31, 103, 60, 132, 41, 113, 15, 87, 5, 77)(2, 74, 6, 78, 17, 89, 44, 116, 64, 136, 32, 104, 28, 100, 10, 82, 27, 99, 52, 124, 21, 93, 7, 79)(4, 76, 11, 83, 30, 102, 62, 134, 36, 108, 13, 85, 35, 107, 18, 90, 46, 118, 56, 128, 34, 106, 12, 84)(8, 80, 22, 94, 53, 125, 40, 112, 20, 92, 49, 121, 59, 131, 26, 98, 58, 130, 50, 122, 54, 126, 23, 95)(14, 86, 37, 109, 67, 139, 63, 135, 57, 129, 39, 111, 68, 140, 61, 133, 29, 101, 24, 96, 55, 127, 38, 110)(16, 88, 42, 114, 69, 141, 51, 123, 33, 105, 65, 137, 72, 144, 45, 117, 71, 143, 66, 138, 70, 142, 43, 115)
	L = (1, 74)(2, 76)(3, 80)(4, 73)(5, 85)(6, 88)(7, 91)(8, 82)(9, 96)(10, 75)(11, 101)(12, 104)(13, 86)(14, 77)(15, 111)(16, 90)(17, 94)(18, 78)(19, 92)(20, 79)(21, 122)(22, 117)(23, 119)(24, 98)(25, 128)(26, 81)(27, 118)(28, 121)(29, 103)(30, 114)(31, 83)(32, 105)(33, 84)(34, 138)(35, 137)(36, 120)(37, 95)(38, 106)(39, 112)(40, 87)(41, 130)(42, 135)(43, 100)(44, 113)(45, 89)(46, 132)(47, 109)(48, 136)(49, 115)(50, 123)(51, 93)(52, 143)(53, 127)(54, 140)(55, 141)(56, 129)(57, 97)(58, 116)(59, 139)(60, 99)(61, 107)(62, 124)(63, 102)(64, 108)(65, 133)(66, 110)(67, 144)(68, 142)(69, 125)(70, 126)(71, 134)(72, 131)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1592
Transitivity :: ET+ VT+ AT
Graph::
	v = 6 e = 72 f = 30
	degree seq :: [ 24^6 ]

E19.1595 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1^-1)^2, (F * T1)^2, (F * T2)^2, (T2^2 * T1)^3, T2^4 * T1 * T2^-4 * T1^-1, T2^12, (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 9, 81, 20, 92, 38, 110, 52, 124, 72, 144, 66, 138, 48, 120, 26, 98, 13, 85, 5, 77)(2, 74, 6, 78, 15, 87, 30, 102, 53, 125, 64, 136, 69, 141, 47, 119, 57, 129, 32, 104, 16, 88, 7, 79)(4, 76, 10, 82, 21, 93, 40, 112, 62, 134, 37, 109, 61, 133, 56, 128, 67, 139, 42, 114, 22, 94, 11, 83)(8, 80, 17, 89, 33, 105, 58, 130, 51, 123, 29, 101, 46, 118, 25, 97, 45, 117, 59, 131, 34, 106, 18, 90)(12, 84, 23, 95, 43, 115, 60, 132, 36, 108, 19, 91, 35, 107, 41, 113, 65, 137, 68, 140, 44, 116, 24, 96)(14, 86, 27, 99, 49, 121, 70, 142, 63, 135, 39, 111, 55, 127, 31, 103, 54, 126, 71, 143, 50, 122, 28, 100)
	L = (1, 74)(2, 76)(3, 80)(4, 73)(5, 82)(6, 86)(7, 75)(8, 79)(9, 91)(10, 84)(11, 78)(12, 77)(13, 95)(14, 83)(15, 101)(16, 89)(17, 103)(18, 81)(19, 90)(20, 109)(21, 111)(22, 99)(23, 97)(24, 93)(25, 85)(26, 117)(27, 113)(28, 87)(29, 100)(30, 124)(31, 88)(32, 126)(33, 116)(34, 107)(35, 121)(36, 92)(37, 108)(38, 125)(39, 96)(40, 136)(41, 94)(42, 137)(43, 122)(44, 127)(45, 119)(46, 115)(47, 98)(48, 129)(49, 106)(50, 118)(51, 102)(52, 123)(53, 134)(54, 128)(55, 105)(56, 104)(57, 139)(58, 144)(59, 142)(60, 133)(61, 143)(62, 110)(63, 112)(64, 135)(65, 138)(66, 114)(67, 120)(68, 130)(69, 131)(70, 141)(71, 132)(72, 140)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1593
Transitivity :: ET+ VT+ AT
Graph::
	v = 6 e = 72 f = 30
	degree seq :: [ 24^6 ]

E19.1596 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3^2 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y3 * Y2^-2 * Y1^-1, Y3 * Y2^-2 * Y3 * Y2 * Y3^-1 * Y2, Y2^2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y1 * Y2^-1 * Y1 * Y2^-5, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-3 * Y1^-1 * Y2^-3, Y2 * Y1^-1 * R * Y2^-3 * R * Y2^2, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 73, 2, 74, 4, 76)(3, 75, 8, 80, 10, 82)(5, 77, 13, 85, 14, 86)(6, 78, 16, 88, 18, 90)(7, 79, 19, 91, 20, 92)(9, 81, 24, 96, 26, 98)(11, 83, 29, 101, 31, 103)(12, 84, 32, 104, 33, 105)(15, 87, 39, 111, 40, 112)(17, 89, 22, 94, 45, 117)(21, 93, 50, 122, 51, 123)(23, 95, 47, 119, 37, 109)(25, 97, 56, 128, 57, 129)(27, 99, 46, 118, 60, 132)(28, 100, 49, 121, 43, 115)(30, 102, 42, 114, 63, 135)(34, 106, 66, 138, 38, 110)(35, 107, 65, 137, 61, 133)(36, 108, 48, 120, 64, 136)(41, 113, 58, 130, 44, 116)(52, 124, 71, 143, 62, 134)(53, 125, 55, 127, 69, 141)(54, 126, 68, 140, 70, 142)(59, 131, 67, 139, 72, 144)(145, 217, 147, 219, 153, 225, 169, 241, 192, 264, 163, 235, 191, 263, 175, 247, 204, 276, 185, 257, 159, 231, 149, 221)(146, 218, 150, 222, 161, 233, 188, 260, 208, 280, 176, 248, 172, 244, 154, 226, 171, 243, 196, 268, 165, 237, 151, 223)(148, 220, 155, 227, 174, 246, 206, 278, 180, 252, 157, 229, 179, 251, 162, 234, 190, 262, 200, 272, 178, 250, 156, 228)(152, 224, 166, 238, 197, 269, 184, 256, 164, 236, 193, 265, 203, 275, 170, 242, 202, 274, 194, 266, 198, 270, 167, 239)(158, 230, 181, 253, 211, 283, 207, 279, 201, 273, 183, 255, 212, 284, 205, 277, 173, 245, 168, 240, 199, 271, 182, 254)(160, 232, 186, 258, 213, 285, 195, 267, 177, 249, 209, 281, 216, 288, 189, 261, 215, 287, 210, 282, 214, 286, 187, 259)
	L = (1, 148)(2, 145)(3, 154)(4, 146)(5, 158)(6, 162)(7, 164)(8, 147)(9, 170)(10, 152)(11, 175)(12, 177)(13, 149)(14, 157)(15, 184)(16, 150)(17, 189)(18, 160)(19, 151)(20, 163)(21, 195)(22, 161)(23, 181)(24, 153)(25, 201)(26, 168)(27, 204)(28, 187)(29, 155)(30, 207)(31, 173)(32, 156)(33, 176)(34, 182)(35, 205)(36, 208)(37, 191)(38, 210)(39, 159)(40, 183)(41, 188)(42, 174)(43, 193)(44, 202)(45, 166)(46, 171)(47, 167)(48, 180)(49, 172)(50, 165)(51, 194)(52, 206)(53, 213)(54, 214)(55, 197)(56, 169)(57, 200)(58, 185)(59, 216)(60, 190)(61, 209)(62, 215)(63, 186)(64, 192)(65, 179)(66, 178)(67, 203)(68, 198)(69, 199)(70, 212)(71, 196)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 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 E19.1598
Graph:: bipartite
	v = 30 e = 144 f = 78
	degree seq :: [ 6^24, 24^6 ]

E19.1597 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^-1 * Y3^2, (R * Y3)^2, Y2 * Y3 * Y2 * Y1^-1, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2, Y2^4 * Y3^-1 * Y2^-4 * Y1^-1, (Y2^-3 * R * Y2^-1)^2, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 73, 2, 74, 4, 76)(3, 75, 8, 80, 7, 79)(5, 77, 10, 82, 12, 84)(6, 78, 14, 86, 11, 83)(9, 81, 19, 91, 18, 90)(13, 85, 23, 95, 25, 97)(15, 87, 29, 101, 28, 100)(16, 88, 17, 89, 31, 103)(20, 92, 37, 109, 36, 108)(21, 93, 39, 111, 24, 96)(22, 94, 27, 99, 41, 113)(26, 98, 45, 117, 47, 119)(30, 102, 52, 124, 51, 123)(32, 104, 54, 126, 56, 128)(33, 105, 44, 116, 55, 127)(34, 106, 35, 107, 49, 121)(38, 110, 53, 125, 62, 134)(40, 112, 64, 136, 63, 135)(42, 114, 65, 137, 66, 138)(43, 115, 50, 122, 46, 118)(48, 120, 57, 129, 67, 139)(58, 130, 72, 144, 68, 140)(59, 131, 70, 142, 69, 141)(60, 132, 61, 133, 71, 143)(145, 217, 147, 219, 153, 225, 164, 236, 182, 254, 196, 268, 216, 288, 210, 282, 192, 264, 170, 242, 157, 229, 149, 221)(146, 218, 150, 222, 159, 231, 174, 246, 197, 269, 208, 280, 213, 285, 191, 263, 201, 273, 176, 248, 160, 232, 151, 223)(148, 220, 154, 226, 165, 237, 184, 256, 206, 278, 181, 253, 205, 277, 200, 272, 211, 283, 186, 258, 166, 238, 155, 227)(152, 224, 161, 233, 177, 249, 202, 274, 195, 267, 173, 245, 190, 262, 169, 241, 189, 261, 203, 275, 178, 250, 162, 234)(156, 228, 167, 239, 187, 259, 204, 276, 180, 252, 163, 235, 179, 251, 185, 257, 209, 281, 212, 284, 188, 260, 168, 240)(158, 230, 171, 243, 193, 265, 214, 286, 207, 279, 183, 255, 199, 271, 175, 247, 198, 270, 215, 287, 194, 266, 172, 244)
	L = (1, 148)(2, 145)(3, 151)(4, 146)(5, 156)(6, 155)(7, 152)(8, 147)(9, 162)(10, 149)(11, 158)(12, 154)(13, 169)(14, 150)(15, 172)(16, 175)(17, 160)(18, 163)(19, 153)(20, 180)(21, 168)(22, 185)(23, 157)(24, 183)(25, 167)(26, 191)(27, 166)(28, 173)(29, 159)(30, 195)(31, 161)(32, 200)(33, 199)(34, 193)(35, 178)(36, 181)(37, 164)(38, 206)(39, 165)(40, 207)(41, 171)(42, 210)(43, 190)(44, 177)(45, 170)(46, 194)(47, 189)(48, 211)(49, 179)(50, 187)(51, 196)(52, 174)(53, 182)(54, 176)(55, 188)(56, 198)(57, 192)(58, 212)(59, 213)(60, 215)(61, 204)(62, 197)(63, 208)(64, 184)(65, 186)(66, 209)(67, 201)(68, 216)(69, 214)(70, 203)(71, 205)(72, 202)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 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 E19.1599
Graph:: bipartite
	v = 30 e = 144 f = 78
	degree seq :: [ 6^24, 24^6 ]

E19.1598 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3, (Y1^-3 * Y3^-1)^2, (Y1^-1 * Y3 * Y1 * Y3)^2, Y1 * Y3^-1 * Y1^5 * Y3^-1, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^2 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 16, 88, 42, 114, 26, 98, 50, 122, 38, 110, 54, 126, 32, 104, 12, 84, 4, 76)(3, 75, 9, 81, 23, 95, 57, 129, 64, 136, 39, 111, 22, 94, 8, 80, 21, 93, 52, 124, 27, 99, 10, 82)(5, 77, 14, 86, 36, 108, 63, 135, 30, 102, 11, 83, 29, 101, 25, 97, 53, 125, 43, 115, 40, 112, 15, 87)(7, 79, 19, 91, 48, 120, 33, 105, 28, 100, 55, 127, 47, 119, 18, 90, 46, 118, 59, 131, 51, 123, 20, 92)(13, 85, 34, 106, 66, 138, 68, 140, 44, 116, 31, 103, 65, 137, 62, 134, 37, 109, 17, 89, 45, 117, 35, 107)(24, 96, 58, 130, 69, 141, 60, 132, 41, 113, 61, 133, 70, 142, 49, 121, 71, 143, 67, 139, 72, 144, 56, 128)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 149)(4, 155)(5, 145)(6, 161)(7, 152)(8, 146)(9, 168)(10, 170)(11, 157)(12, 175)(13, 148)(14, 181)(15, 183)(16, 187)(17, 162)(18, 150)(19, 193)(20, 194)(21, 197)(22, 199)(23, 163)(24, 169)(25, 153)(26, 172)(27, 203)(28, 154)(29, 205)(30, 186)(31, 177)(32, 190)(33, 156)(34, 164)(35, 184)(36, 202)(37, 182)(38, 158)(39, 185)(40, 211)(41, 159)(42, 208)(43, 188)(44, 160)(45, 213)(46, 201)(47, 210)(48, 189)(49, 167)(50, 178)(51, 209)(52, 215)(53, 198)(54, 165)(55, 200)(56, 166)(57, 176)(58, 212)(59, 204)(60, 171)(61, 206)(62, 173)(63, 196)(64, 174)(65, 216)(66, 214)(67, 179)(68, 180)(69, 192)(70, 191)(71, 207)(72, 195)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 24 ), ( 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 E19.1596
Graph:: simple bipartite
	v = 78 e = 144 f = 30
	degree seq :: [ 2^72, 24^6 ]

E19.1599 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1 * Y3 * Y1 * Y3^2 * Y1^2 * Y3, (Y1^2 * Y3)^3, Y3 * Y1^4 * Y3^-1 * Y1^-4, Y1^12, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^2 * Y3 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 14, 86, 27, 99, 49, 121, 70, 142, 65, 137, 43, 115, 23, 95, 11, 83, 4, 76)(3, 75, 9, 81, 19, 91, 35, 107, 50, 122, 63, 135, 67, 139, 44, 116, 59, 131, 34, 106, 18, 90, 8, 80)(5, 77, 10, 82, 21, 93, 39, 111, 51, 123, 28, 100, 52, 124, 60, 132, 66, 138, 47, 119, 26, 98, 13, 85)(7, 79, 17, 89, 32, 104, 56, 128, 61, 133, 36, 108, 45, 117, 24, 96, 42, 114, 55, 127, 31, 103, 16, 88)(12, 84, 22, 94, 41, 113, 53, 125, 29, 101, 15, 87, 30, 102, 48, 120, 69, 141, 68, 140, 46, 118, 25, 97)(20, 92, 38, 110, 54, 126, 72, 144, 64, 136, 40, 112, 57, 129, 33, 105, 58, 130, 71, 143, 62, 134, 37, 109)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 149)(4, 154)(5, 145)(6, 159)(7, 152)(8, 146)(9, 164)(10, 156)(11, 166)(12, 148)(13, 153)(14, 172)(15, 160)(16, 150)(17, 177)(18, 161)(19, 180)(20, 157)(21, 184)(22, 168)(23, 186)(24, 155)(25, 165)(26, 182)(27, 194)(28, 173)(29, 158)(30, 198)(31, 174)(32, 190)(33, 162)(34, 202)(35, 193)(36, 181)(37, 163)(38, 192)(39, 207)(40, 169)(41, 206)(42, 188)(43, 203)(44, 167)(45, 185)(46, 201)(47, 213)(48, 170)(49, 205)(50, 195)(51, 171)(52, 215)(53, 196)(54, 175)(55, 216)(56, 214)(57, 176)(58, 204)(59, 210)(60, 178)(61, 179)(62, 189)(63, 208)(64, 183)(65, 191)(66, 187)(67, 199)(68, 200)(69, 209)(70, 212)(71, 197)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 24 ), ( 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 E19.1597
Graph:: simple bipartite
	v = 78 e = 144 f = 30
	degree seq :: [ 2^72, 24^6 ]

E19.1600 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 8, 24})
Quotient :: edge
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-2 * T1^-1 * T2, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^8, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 24, 47, 35, 15, 5)(2, 6, 17, 38, 58, 43, 21, 7)(4, 11, 25, 49, 64, 54, 32, 12)(8, 22, 44, 62, 55, 33, 13, 23)(10, 26, 48, 65, 56, 34, 14, 27)(16, 36, 57, 69, 60, 41, 19, 37)(18, 39, 59, 70, 61, 42, 20, 40)(28, 45, 63, 71, 67, 52, 30, 46)(29, 50, 66, 72, 68, 53, 31, 51)(73, 74, 76)(75, 80, 82)(77, 85, 86)(78, 88, 90)(79, 91, 92)(81, 89, 97)(83, 100, 101)(84, 102, 103)(87, 93, 104)(94, 108, 117)(95, 109, 118)(96, 116, 120)(98, 111, 122)(99, 112, 123)(105, 113, 124)(106, 114, 125)(107, 127, 128)(110, 129, 131)(115, 132, 133)(119, 130, 136)(121, 135, 138)(126, 139, 140)(134, 141, 143)(137, 142, 144)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 48^3 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E19.1604
Transitivity :: ET+
Graph:: simple bipartite
	v = 33 e = 72 f = 3
	degree seq :: [ 3^24, 8^9 ]

E19.1601 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 8, 24})
Quotient :: edge
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1 * T2^-2 * T1^-1, (T2^-1 * T1^-1)^3, T2 * T1^2 * T2^-1 * T1^-2, T2^4 * T1^-1 * T2^2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2, T1^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 46, 20, 6, 19, 44, 66, 72, 62, 40, 61, 71, 67, 60, 36, 13, 32, 58, 39, 17, 5)(2, 7, 22, 48, 64, 42, 18, 41, 63, 56, 69, 54, 35, 59, 70, 55, 37, 14, 4, 12, 30, 52, 26, 8)(9, 27, 53, 34, 45, 65, 43, 25, 50, 23, 49, 68, 51, 24, 47, 21, 16, 33, 11, 31, 57, 38, 15, 28)(73, 74, 78, 90, 112, 107, 85, 76)(75, 81, 91, 115, 133, 123, 104, 83)(77, 87, 92, 117, 134, 121, 108, 88)(79, 93, 113, 110, 131, 106, 84, 95)(80, 96, 114, 103, 126, 99, 86, 97)(82, 94, 116, 135, 143, 142, 130, 102)(89, 98, 118, 136, 144, 141, 132, 109)(100, 127, 137, 124, 140, 120, 105, 128)(101, 125, 138, 122, 139, 119, 111, 129)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6^8 ), ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1605
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 8^9, 24^3 ]

E19.1602 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 8, 24})
Quotient :: edge
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2^-1 * T1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^-3 * T2^-1 * T1^-4, T1 * T2 * T1 * T2^-1 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1, T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 ]
Map:: non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 23, 24)(10, 25, 27)(12, 26, 30)(14, 32, 33)(15, 34, 35)(16, 37, 38)(19, 41, 42)(20, 43, 44)(21, 45, 46)(22, 47, 48)(28, 49, 53)(29, 52, 55)(31, 51, 57)(36, 59, 60)(39, 63, 64)(40, 65, 66)(50, 67, 69)(54, 68, 61)(56, 71, 58)(62, 70, 72)(73, 74, 78, 88, 108, 130, 129, 107, 120, 105, 118, 138, 144, 139, 121, 97, 115, 95, 113, 135, 126, 101, 84, 76)(75, 81, 89, 111, 131, 127, 103, 85, 94, 80, 93, 110, 134, 143, 125, 106, 116, 104, 114, 137, 140, 122, 98, 82)(77, 86, 90, 112, 132, 141, 123, 99, 119, 96, 117, 136, 142, 124, 100, 83, 92, 79, 91, 109, 133, 128, 102, 87)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^3 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1603
Transitivity :: ET+
Graph:: simple bipartite
	v = 27 e = 72 f = 9
	degree seq :: [ 3^24, 24^3 ]

E19.1603 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 8, 24})
Quotient :: loop
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-2 * T1^-1 * T2, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^8, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 9, 81, 24, 96, 47, 119, 35, 107, 15, 87, 5, 77)(2, 74, 6, 78, 17, 89, 38, 110, 58, 130, 43, 115, 21, 93, 7, 79)(4, 76, 11, 83, 25, 97, 49, 121, 64, 136, 54, 126, 32, 104, 12, 84)(8, 80, 22, 94, 44, 116, 62, 134, 55, 127, 33, 105, 13, 85, 23, 95)(10, 82, 26, 98, 48, 120, 65, 137, 56, 128, 34, 106, 14, 86, 27, 99)(16, 88, 36, 108, 57, 129, 69, 141, 60, 132, 41, 113, 19, 91, 37, 109)(18, 90, 39, 111, 59, 131, 70, 142, 61, 133, 42, 114, 20, 92, 40, 112)(28, 100, 45, 117, 63, 135, 71, 143, 67, 139, 52, 124, 30, 102, 46, 118)(29, 101, 50, 122, 66, 138, 72, 144, 68, 140, 53, 125, 31, 103, 51, 123)
	L = (1, 74)(2, 76)(3, 80)(4, 73)(5, 85)(6, 88)(7, 91)(8, 82)(9, 89)(10, 75)(11, 100)(12, 102)(13, 86)(14, 77)(15, 93)(16, 90)(17, 97)(18, 78)(19, 92)(20, 79)(21, 104)(22, 108)(23, 109)(24, 116)(25, 81)(26, 111)(27, 112)(28, 101)(29, 83)(30, 103)(31, 84)(32, 87)(33, 113)(34, 114)(35, 127)(36, 117)(37, 118)(38, 129)(39, 122)(40, 123)(41, 124)(42, 125)(43, 132)(44, 120)(45, 94)(46, 95)(47, 130)(48, 96)(49, 135)(50, 98)(51, 99)(52, 105)(53, 106)(54, 139)(55, 128)(56, 107)(57, 131)(58, 136)(59, 110)(60, 133)(61, 115)(62, 141)(63, 138)(64, 119)(65, 142)(66, 121)(67, 140)(68, 126)(69, 143)(70, 144)(71, 134)(72, 137)
	local type(s) :: { ( 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1602
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 72 f = 27
	degree seq :: [ 16^9 ]

E19.1604 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 8, 24})
Quotient :: loop
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1 * T2^-2 * T1^-1, (T2^-1 * T1^-1)^3, T2 * T1^2 * T2^-1 * T1^-2, T2^4 * T1^-1 * T2^2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2, T1^8 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 29, 101, 46, 118, 20, 92, 6, 78, 19, 91, 44, 116, 66, 138, 72, 144, 62, 134, 40, 112, 61, 133, 71, 143, 67, 139, 60, 132, 36, 108, 13, 85, 32, 104, 58, 130, 39, 111, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 48, 120, 64, 136, 42, 114, 18, 90, 41, 113, 63, 135, 56, 128, 69, 141, 54, 126, 35, 107, 59, 131, 70, 142, 55, 127, 37, 109, 14, 86, 4, 76, 12, 84, 30, 102, 52, 124, 26, 98, 8, 80)(9, 81, 27, 99, 53, 125, 34, 106, 45, 117, 65, 137, 43, 115, 25, 97, 50, 122, 23, 95, 49, 121, 68, 140, 51, 123, 24, 96, 47, 119, 21, 93, 16, 88, 33, 105, 11, 83, 31, 103, 57, 129, 38, 110, 15, 87, 28, 100)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 91)(10, 94)(11, 75)(12, 95)(13, 76)(14, 97)(15, 92)(16, 77)(17, 98)(18, 112)(19, 115)(20, 117)(21, 113)(22, 116)(23, 79)(24, 114)(25, 80)(26, 118)(27, 86)(28, 127)(29, 125)(30, 82)(31, 126)(32, 83)(33, 128)(34, 84)(35, 85)(36, 88)(37, 89)(38, 131)(39, 129)(40, 107)(41, 110)(42, 103)(43, 133)(44, 135)(45, 134)(46, 136)(47, 111)(48, 105)(49, 108)(50, 139)(51, 104)(52, 140)(53, 138)(54, 99)(55, 137)(56, 100)(57, 101)(58, 102)(59, 106)(60, 109)(61, 123)(62, 121)(63, 143)(64, 144)(65, 124)(66, 122)(67, 119)(68, 120)(69, 132)(70, 130)(71, 142)(72, 141)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1600
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 72 f = 33
	degree seq :: [ 48^3 ]

E19.1605 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 8, 24})
Quotient :: loop
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2^-1 * T1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^-3 * T2^-1 * T1^-4, T1 * T2 * T1 * T2^-1 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1, T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 5, 77)(2, 74, 7, 79, 8, 80)(4, 76, 11, 83, 13, 85)(6, 78, 17, 89, 18, 90)(9, 81, 23, 95, 24, 96)(10, 82, 25, 97, 27, 99)(12, 84, 26, 98, 30, 102)(14, 86, 32, 104, 33, 105)(15, 87, 34, 106, 35, 107)(16, 88, 37, 109, 38, 110)(19, 91, 41, 113, 42, 114)(20, 92, 43, 115, 44, 116)(21, 93, 45, 117, 46, 118)(22, 94, 47, 119, 48, 120)(28, 100, 49, 121, 53, 125)(29, 101, 52, 124, 55, 127)(31, 103, 51, 123, 57, 129)(36, 108, 59, 131, 60, 132)(39, 111, 63, 135, 64, 136)(40, 112, 65, 137, 66, 138)(50, 122, 67, 139, 69, 141)(54, 126, 68, 140, 61, 133)(56, 128, 71, 143, 58, 130)(62, 134, 70, 142, 72, 144)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 88)(7, 91)(8, 93)(9, 89)(10, 75)(11, 92)(12, 76)(13, 94)(14, 90)(15, 77)(16, 108)(17, 111)(18, 112)(19, 109)(20, 79)(21, 110)(22, 80)(23, 113)(24, 117)(25, 115)(26, 82)(27, 119)(28, 83)(29, 84)(30, 87)(31, 85)(32, 114)(33, 118)(34, 116)(35, 120)(36, 130)(37, 133)(38, 134)(39, 131)(40, 132)(41, 135)(42, 137)(43, 95)(44, 104)(45, 136)(46, 138)(47, 96)(48, 105)(49, 97)(50, 98)(51, 99)(52, 100)(53, 106)(54, 101)(55, 103)(56, 102)(57, 107)(58, 129)(59, 127)(60, 141)(61, 128)(62, 143)(63, 126)(64, 142)(65, 140)(66, 144)(67, 121)(68, 122)(69, 123)(70, 124)(71, 125)(72, 139)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1601
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 6^24 ]

E19.1606 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y2^8, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 73, 2, 74, 4, 76)(3, 75, 8, 80, 10, 82)(5, 77, 13, 85, 14, 86)(6, 78, 16, 88, 18, 90)(7, 79, 19, 91, 20, 92)(9, 81, 17, 89, 25, 97)(11, 83, 28, 100, 29, 101)(12, 84, 30, 102, 31, 103)(15, 87, 21, 93, 32, 104)(22, 94, 36, 108, 45, 117)(23, 95, 37, 109, 46, 118)(24, 96, 44, 116, 48, 120)(26, 98, 39, 111, 50, 122)(27, 99, 40, 112, 51, 123)(33, 105, 41, 113, 52, 124)(34, 106, 42, 114, 53, 125)(35, 107, 55, 127, 56, 128)(38, 110, 57, 129, 59, 131)(43, 115, 60, 132, 61, 133)(47, 119, 58, 130, 64, 136)(49, 121, 63, 135, 66, 138)(54, 126, 67, 139, 68, 140)(62, 134, 69, 141, 71, 143)(65, 137, 70, 142, 72, 144)(145, 217, 147, 219, 153, 225, 168, 240, 191, 263, 179, 251, 159, 231, 149, 221)(146, 218, 150, 222, 161, 233, 182, 254, 202, 274, 187, 259, 165, 237, 151, 223)(148, 220, 155, 227, 169, 241, 193, 265, 208, 280, 198, 270, 176, 248, 156, 228)(152, 224, 166, 238, 188, 260, 206, 278, 199, 271, 177, 249, 157, 229, 167, 239)(154, 226, 170, 242, 192, 264, 209, 281, 200, 272, 178, 250, 158, 230, 171, 243)(160, 232, 180, 252, 201, 273, 213, 285, 204, 276, 185, 257, 163, 235, 181, 253)(162, 234, 183, 255, 203, 275, 214, 286, 205, 277, 186, 258, 164, 236, 184, 256)(172, 244, 189, 261, 207, 279, 215, 287, 211, 283, 196, 268, 174, 246, 190, 262)(173, 245, 194, 266, 210, 282, 216, 288, 212, 284, 197, 269, 175, 247, 195, 267)
	L = (1, 148)(2, 145)(3, 154)(4, 146)(5, 158)(6, 162)(7, 164)(8, 147)(9, 169)(10, 152)(11, 173)(12, 175)(13, 149)(14, 157)(15, 176)(16, 150)(17, 153)(18, 160)(19, 151)(20, 163)(21, 159)(22, 189)(23, 190)(24, 192)(25, 161)(26, 194)(27, 195)(28, 155)(29, 172)(30, 156)(31, 174)(32, 165)(33, 196)(34, 197)(35, 200)(36, 166)(37, 167)(38, 203)(39, 170)(40, 171)(41, 177)(42, 178)(43, 205)(44, 168)(45, 180)(46, 181)(47, 208)(48, 188)(49, 210)(50, 183)(51, 184)(52, 185)(53, 186)(54, 212)(55, 179)(56, 199)(57, 182)(58, 191)(59, 201)(60, 187)(61, 204)(62, 215)(63, 193)(64, 202)(65, 216)(66, 207)(67, 198)(68, 211)(69, 206)(70, 209)(71, 213)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 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 E19.1609
Graph:: bipartite
	v = 33 e = 144 f = 75
	degree seq :: [ 6^24, 16^9 ]

E19.1607 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-2 * Y1^-1 * Y2^2, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y1^2 * Y2 * Y1^-2, Y2^-3 * Y1 * Y2^-2 * Y1 * Y2^-1, Y1^-1 * Y2 * Y1^-3 * Y2 * Y1^-1 * Y2, Y1^8, Y1^2 * Y2^18 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 40, 112, 35, 107, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 43, 115, 61, 133, 51, 123, 32, 104, 11, 83)(5, 77, 15, 87, 20, 92, 45, 117, 62, 134, 49, 121, 36, 108, 16, 88)(7, 79, 21, 93, 41, 113, 38, 110, 59, 131, 34, 106, 12, 84, 23, 95)(8, 80, 24, 96, 42, 114, 31, 103, 54, 126, 27, 99, 14, 86, 25, 97)(10, 82, 22, 94, 44, 116, 63, 135, 71, 143, 70, 142, 58, 130, 30, 102)(17, 89, 26, 98, 46, 118, 64, 136, 72, 144, 69, 141, 60, 132, 37, 109)(28, 100, 55, 127, 65, 137, 52, 124, 68, 140, 48, 120, 33, 105, 56, 128)(29, 101, 53, 125, 66, 138, 50, 122, 67, 139, 47, 119, 39, 111, 57, 129)(145, 217, 147, 219, 154, 226, 173, 245, 190, 262, 164, 236, 150, 222, 163, 235, 188, 260, 210, 282, 216, 288, 206, 278, 184, 256, 205, 277, 215, 287, 211, 283, 204, 276, 180, 252, 157, 229, 176, 248, 202, 274, 183, 255, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 192, 264, 208, 280, 186, 258, 162, 234, 185, 257, 207, 279, 200, 272, 213, 285, 198, 270, 179, 251, 203, 275, 214, 286, 199, 271, 181, 253, 158, 230, 148, 220, 156, 228, 174, 246, 196, 268, 170, 242, 152, 224)(153, 225, 171, 243, 197, 269, 178, 250, 189, 261, 209, 281, 187, 259, 169, 241, 194, 266, 167, 239, 193, 265, 212, 284, 195, 267, 168, 240, 191, 263, 165, 237, 160, 232, 177, 249, 155, 227, 175, 247, 201, 273, 182, 254, 159, 231, 172, 244)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 173)(11, 175)(12, 174)(13, 176)(14, 148)(15, 172)(16, 177)(17, 149)(18, 185)(19, 188)(20, 150)(21, 160)(22, 192)(23, 193)(24, 191)(25, 194)(26, 152)(27, 197)(28, 153)(29, 190)(30, 196)(31, 201)(32, 202)(33, 155)(34, 189)(35, 203)(36, 157)(37, 158)(38, 159)(39, 161)(40, 205)(41, 207)(42, 162)(43, 169)(44, 210)(45, 209)(46, 164)(47, 165)(48, 208)(49, 212)(50, 167)(51, 168)(52, 170)(53, 178)(54, 179)(55, 181)(56, 213)(57, 182)(58, 183)(59, 214)(60, 180)(61, 215)(62, 184)(63, 200)(64, 186)(65, 187)(66, 216)(67, 204)(68, 195)(69, 198)(70, 199)(71, 211)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 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 E19.1608
Graph:: bipartite
	v = 12 e = 144 f = 96
	degree seq :: [ 16^9, 48^3 ]

E19.1608 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-2 * Y2 * Y3, (Y2, Y3^-1, Y2^-1), Y3 * Y2^-1 * Y3^5 * Y2^-1 * Y3^2, (Y3 * Y2^-1)^8, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 148, 220)(147, 219, 152, 224, 154, 226)(149, 221, 157, 229, 158, 230)(150, 222, 160, 232, 162, 234)(151, 223, 163, 235, 164, 236)(153, 225, 161, 233, 169, 241)(155, 227, 172, 244, 173, 245)(156, 228, 174, 246, 175, 247)(159, 231, 165, 237, 176, 248)(166, 238, 180, 252, 189, 261)(167, 239, 181, 253, 190, 262)(168, 240, 188, 260, 192, 264)(170, 242, 183, 255, 194, 266)(171, 243, 184, 256, 195, 267)(177, 249, 185, 257, 196, 268)(178, 250, 186, 258, 197, 269)(179, 251, 199, 271, 200, 272)(182, 254, 202, 274, 204, 276)(187, 259, 205, 277, 206, 278)(191, 263, 203, 275, 210, 282)(193, 265, 209, 281, 211, 283)(198, 270, 212, 284, 213, 285)(201, 273, 207, 279, 214, 286)(208, 280, 216, 288, 215, 287)
	L = (1, 147)(2, 150)(3, 153)(4, 155)(5, 145)(6, 161)(7, 146)(8, 166)(9, 168)(10, 170)(11, 169)(12, 148)(13, 167)(14, 171)(15, 149)(16, 180)(17, 182)(18, 183)(19, 181)(20, 184)(21, 151)(22, 188)(23, 152)(24, 191)(25, 193)(26, 192)(27, 154)(28, 189)(29, 194)(30, 190)(31, 195)(32, 156)(33, 157)(34, 158)(35, 159)(36, 202)(37, 160)(38, 203)(39, 204)(40, 162)(41, 163)(42, 164)(43, 165)(44, 208)(45, 209)(46, 172)(47, 205)(48, 207)(49, 210)(50, 211)(51, 173)(52, 174)(53, 175)(54, 176)(55, 177)(56, 178)(57, 179)(58, 216)(59, 212)(60, 214)(61, 185)(62, 186)(63, 187)(64, 206)(65, 215)(66, 199)(67, 201)(68, 196)(69, 197)(70, 198)(71, 200)(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) :: { ( 16, 48 ), ( 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.1607
Graph:: simple bipartite
	v = 96 e = 144 f = 12
	degree seq :: [ 2^72, 6^24 ]

E19.1609 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, (Y3 * Y2^-1)^3, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y3^-1 * Y1^-5 * Y3^-1 * Y1^-3, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^15 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 16, 88, 36, 108, 58, 130, 57, 129, 35, 107, 48, 120, 33, 105, 46, 118, 66, 138, 72, 144, 67, 139, 49, 121, 25, 97, 43, 115, 23, 95, 41, 113, 63, 135, 54, 126, 29, 101, 12, 84, 4, 76)(3, 75, 9, 81, 17, 89, 39, 111, 59, 131, 55, 127, 31, 103, 13, 85, 22, 94, 8, 80, 21, 93, 38, 110, 62, 134, 71, 143, 53, 125, 34, 106, 44, 116, 32, 104, 42, 114, 65, 137, 68, 140, 50, 122, 26, 98, 10, 82)(5, 77, 14, 86, 18, 90, 40, 112, 60, 132, 69, 141, 51, 123, 27, 99, 47, 119, 24, 96, 45, 117, 64, 136, 70, 142, 52, 124, 28, 100, 11, 83, 20, 92, 7, 79, 19, 91, 37, 109, 61, 133, 56, 128, 30, 102, 15, 87)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 149)(4, 155)(5, 145)(6, 161)(7, 152)(8, 146)(9, 167)(10, 169)(11, 157)(12, 170)(13, 148)(14, 176)(15, 178)(16, 181)(17, 162)(18, 150)(19, 185)(20, 187)(21, 189)(22, 191)(23, 168)(24, 153)(25, 171)(26, 174)(27, 154)(28, 193)(29, 196)(30, 156)(31, 195)(32, 177)(33, 158)(34, 179)(35, 159)(36, 203)(37, 182)(38, 160)(39, 207)(40, 209)(41, 186)(42, 163)(43, 188)(44, 164)(45, 190)(46, 165)(47, 192)(48, 166)(49, 197)(50, 211)(51, 201)(52, 199)(53, 172)(54, 212)(55, 173)(56, 215)(57, 175)(58, 200)(59, 204)(60, 180)(61, 198)(62, 214)(63, 208)(64, 183)(65, 210)(66, 184)(67, 213)(68, 205)(69, 194)(70, 216)(71, 202)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 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 E19.1606
Graph:: simple bipartite
	v = 75 e = 144 f = 33
	degree seq :: [ 2^72, 48^3 ]

E19.1610 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3 * Y1^-1 * Y3, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2^2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, (Y1^-1, Y2^-1, Y1^-1), Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2^-2 * Y3 * Y2^-5 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 73, 2, 74, 4, 76)(3, 75, 8, 80, 10, 82)(5, 77, 13, 85, 14, 86)(6, 78, 16, 88, 18, 90)(7, 79, 19, 91, 20, 92)(9, 81, 17, 89, 25, 97)(11, 83, 28, 100, 29, 101)(12, 84, 30, 102, 31, 103)(15, 87, 21, 93, 32, 104)(22, 94, 36, 108, 45, 117)(23, 95, 37, 109, 46, 118)(24, 96, 44, 116, 48, 120)(26, 98, 39, 111, 50, 122)(27, 99, 40, 112, 51, 123)(33, 105, 41, 113, 52, 124)(34, 106, 42, 114, 53, 125)(35, 107, 55, 127, 56, 128)(38, 110, 58, 130, 60, 132)(43, 115, 61, 133, 62, 134)(47, 119, 59, 131, 67, 139)(49, 121, 65, 137, 69, 141)(54, 126, 70, 142, 66, 138)(57, 129, 63, 135, 64, 136)(68, 140, 71, 143, 72, 144)(145, 217, 147, 219, 153, 225, 168, 240, 191, 263, 210, 282, 197, 269, 175, 247, 195, 267, 173, 245, 194, 266, 213, 285, 216, 288, 205, 277, 185, 257, 163, 235, 181, 253, 160, 232, 180, 252, 202, 274, 201, 273, 179, 251, 159, 231, 149, 221)(146, 218, 150, 222, 161, 233, 182, 254, 203, 275, 200, 272, 178, 250, 158, 230, 171, 243, 154, 226, 170, 242, 192, 264, 212, 284, 214, 286, 196, 268, 174, 246, 190, 262, 172, 244, 189, 261, 209, 281, 207, 279, 187, 259, 165, 237, 151, 223)(148, 220, 155, 227, 169, 241, 193, 265, 211, 283, 206, 278, 186, 258, 164, 236, 184, 256, 162, 234, 183, 255, 204, 276, 215, 287, 199, 271, 177, 249, 157, 229, 167, 239, 152, 224, 166, 238, 188, 260, 208, 280, 198, 270, 176, 248, 156, 228)
	L = (1, 148)(2, 145)(3, 154)(4, 146)(5, 158)(6, 162)(7, 164)(8, 147)(9, 169)(10, 152)(11, 173)(12, 175)(13, 149)(14, 157)(15, 176)(16, 150)(17, 153)(18, 160)(19, 151)(20, 163)(21, 159)(22, 189)(23, 190)(24, 192)(25, 161)(26, 194)(27, 195)(28, 155)(29, 172)(30, 156)(31, 174)(32, 165)(33, 196)(34, 197)(35, 200)(36, 166)(37, 167)(38, 204)(39, 170)(40, 171)(41, 177)(42, 178)(43, 206)(44, 168)(45, 180)(46, 181)(47, 211)(48, 188)(49, 213)(50, 183)(51, 184)(52, 185)(53, 186)(54, 210)(55, 179)(56, 199)(57, 208)(58, 182)(59, 191)(60, 202)(61, 187)(62, 205)(63, 201)(64, 207)(65, 193)(66, 214)(67, 203)(68, 216)(69, 209)(70, 198)(71, 212)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E19.1611
Graph:: bipartite
	v = 27 e = 144 f = 81
	degree seq :: [ 6^24, 48^3 ]

E19.1611 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-2 * Y1^-1 * Y3^2, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1^-3 * Y3 * Y1^-1 * Y3, Y3^-3 * Y1 * Y3^-2 * Y1 * Y3^-1, Y1^8, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 40, 112, 35, 107, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 43, 115, 61, 133, 51, 123, 32, 104, 11, 83)(5, 77, 15, 87, 20, 92, 45, 117, 62, 134, 49, 121, 36, 108, 16, 88)(7, 79, 21, 93, 41, 113, 38, 110, 59, 131, 34, 106, 12, 84, 23, 95)(8, 80, 24, 96, 42, 114, 31, 103, 54, 126, 27, 99, 14, 86, 25, 97)(10, 82, 22, 94, 44, 116, 63, 135, 71, 143, 70, 142, 58, 130, 30, 102)(17, 89, 26, 98, 46, 118, 64, 136, 72, 144, 69, 141, 60, 132, 37, 109)(28, 100, 55, 127, 65, 137, 52, 124, 68, 140, 48, 120, 33, 105, 56, 128)(29, 101, 53, 125, 66, 138, 50, 122, 67, 139, 47, 119, 39, 111, 57, 129)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 173)(11, 175)(12, 174)(13, 176)(14, 148)(15, 172)(16, 177)(17, 149)(18, 185)(19, 188)(20, 150)(21, 160)(22, 192)(23, 193)(24, 191)(25, 194)(26, 152)(27, 197)(28, 153)(29, 190)(30, 196)(31, 201)(32, 202)(33, 155)(34, 189)(35, 203)(36, 157)(37, 158)(38, 159)(39, 161)(40, 205)(41, 207)(42, 162)(43, 169)(44, 210)(45, 209)(46, 164)(47, 165)(48, 208)(49, 212)(50, 167)(51, 168)(52, 170)(53, 178)(54, 179)(55, 181)(56, 213)(57, 182)(58, 183)(59, 214)(60, 180)(61, 215)(62, 184)(63, 200)(64, 186)(65, 187)(66, 216)(67, 204)(68, 195)(69, 198)(70, 199)(71, 211)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 48 ), ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.1610
Graph:: simple bipartite
	v = 81 e = 144 f = 27
	degree seq :: [ 2^72, 16^9 ]

E19.1612 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 38})
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, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map:: 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, 33, 109)(31, 107, 36, 112)(34, 110, 49, 125)(35, 111, 52, 128)(37, 113, 53, 129)(38, 114, 56, 132)(39, 115, 54, 130)(40, 116, 55, 131)(41, 117, 57, 133)(42, 118, 58, 134)(43, 119, 59, 135)(44, 120, 60, 136)(45, 121, 61, 137)(46, 122, 62, 138)(47, 123, 63, 139)(48, 124, 64, 140)(50, 126, 65, 141)(51, 127, 66, 142)(67, 143, 69, 145)(68, 144, 72, 148)(70, 146, 73, 149)(71, 147, 76, 152)(74, 150, 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, 201, 277)(184, 260, 188, 264)(185, 261, 186, 262)(187, 263, 190, 266)(189, 265, 191, 267)(192, 268, 194, 270)(193, 269, 195, 271)(196, 272, 198, 274)(197, 273, 199, 275)(200, 276, 203, 279)(202, 278, 221, 297)(204, 280, 208, 284)(205, 281, 206, 282)(207, 283, 210, 286)(209, 285, 211, 287)(212, 288, 214, 290)(213, 289, 215, 291)(216, 292, 218, 294)(217, 293, 219, 295)(220, 296, 223, 299)(222, 298, 227, 303)(224, 300, 228, 304)(225, 301, 226, 302)
	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, 201)(30, 178)(31, 179)(32, 204)(33, 205)(34, 206)(35, 207)(36, 208)(37, 209)(38, 210)(39, 211)(40, 212)(41, 213)(42, 214)(43, 215)(44, 216)(45, 217)(46, 218)(47, 219)(48, 220)(49, 181)(50, 222)(51, 223)(52, 184)(53, 185)(54, 186)(55, 187)(56, 188)(57, 189)(58, 190)(59, 191)(60, 192)(61, 193)(62, 194)(63, 195)(64, 196)(65, 197)(66, 198)(67, 199)(68, 200)(69, 227)(70, 202)(71, 203)(72, 226)(73, 228)(74, 224)(75, 221)(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) :: { ( 4, 76, 4, 76 ) }
Outer automorphisms :: reflexible
Dual of E19.1613
Graph:: simple bipartite
	v = 76 e = 152 f = 40
	degree seq :: [ 4^76 ]

E19.1613 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 38})
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, Y1^10 * Y3 * Y1^-9 * Y2, Y1^2 * Y3 * Y1^-1 * Y2 * Y1^8 * Y3 * Y2 * Y1^8 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 77, 2, 78, 6, 82, 13, 89, 21, 97, 29, 105, 37, 113, 45, 121, 53, 129, 61, 137, 69, 145, 74, 150, 66, 142, 58, 134, 50, 126, 42, 118, 34, 110, 26, 102, 18, 94, 10, 86, 16, 92, 24, 100, 32, 108, 40, 116, 48, 124, 56, 132, 64, 140, 72, 148, 76, 152, 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, 73, 149, 71, 147, 63, 139, 55, 131, 47, 123, 39, 115, 31, 107, 23, 99, 15, 91, 8, 84, 4, 80, 11, 87, 19, 95, 27, 103, 35, 111, 43, 119, 51, 127, 59, 135, 67, 143, 75, 151, 70, 146, 62, 138, 54, 130, 46, 122, 38, 114, 30, 106, 22, 98, 14, 90, 7, 83)(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, 222, 298)(215, 291, 224, 300)(219, 295, 226, 302)(220, 296, 225, 301)(221, 297, 227, 303)(223, 299, 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, 223)(62, 224)(63, 205)(64, 206)(65, 226)(66, 209)(67, 212)(68, 227)(69, 225)(70, 228)(71, 213)(72, 214)(73, 221)(74, 217)(75, 220)(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) :: { ( 4^4 ), ( 4^76 ) }
Outer automorphisms :: reflexible
Dual of E19.1612
Graph:: bipartite
	v = 40 e = 152 f = 76
	degree seq :: [ 4^38, 76^2 ]

E19.1614 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 38})
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, T1^4, T1^-1 * T2^-1 * T1 * T2^-1, T1^-2 * T2^19 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 73, 70, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 69, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 74, 66, 58, 50, 42, 34, 26, 18, 10, 4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 72, 64, 56, 48, 40, 32, 24, 16, 8)(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, 152, 150)(144, 147, 149, 151)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 8^4 ), ( 8^38 ) }
Outer automorphisms :: reflexible
Dual of E19.1615
Transitivity :: ET+
Graph:: bipartite
	v = 21 e = 76 f = 19
	degree seq :: [ 4^19, 38^2 ]

E19.1615 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 38})
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, T1^2 * T2^2, T2^4, (F * T2)^2, T2^-1 * T1^2 * T2^-1, (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 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, 38, 114, 34, 110, 35, 111)(36, 112, 51, 127, 37, 113, 52, 128)(39, 115, 56, 132, 40, 116, 55, 131)(41, 117, 58, 134, 42, 118, 57, 133)(43, 119, 60, 136, 44, 120, 59, 135)(45, 121, 62, 138, 46, 122, 61, 137)(47, 123, 64, 140, 48, 124, 63, 139)(49, 125, 66, 142, 50, 126, 65, 141)(53, 129, 68, 144, 54, 130, 67, 143)(69, 145, 71, 147, 70, 146, 72, 148)(73, 149, 76, 152, 74, 150, 75, 151)
	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, 127)(32, 128)(33, 106)(34, 105)(35, 131)(36, 133)(37, 134)(38, 132)(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, 108)(52, 107)(53, 149)(54, 150)(55, 114)(56, 111)(57, 113)(58, 112)(59, 116)(60, 115)(61, 118)(62, 117)(63, 120)(64, 119)(65, 122)(66, 121)(67, 124)(68, 123)(69, 126)(70, 125)(71, 152)(72, 151)(73, 130)(74, 129)(75, 147)(76, 148)
	local type(s) :: { ( 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E19.1614
Transitivity :: ET+ VT+ AT
Graph::
	v = 19 e = 76 f = 21
	degree seq :: [ 8^19 ]

E19.1616 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 38})
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, Y1^4, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^4, Y1^-2 * 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, 76, 152, 74, 150)(68, 144, 71, 147, 73, 149, 75, 151)(153, 229, 155, 231, 161, 237, 169, 245, 177, 253, 185, 261, 193, 269, 201, 277, 209, 285, 217, 293, 225, 301, 222, 298, 214, 290, 206, 282, 198, 274, 190, 266, 182, 258, 174, 250, 166, 242, 158, 234, 165, 241, 173, 249, 181, 257, 189, 265, 197, 273, 205, 281, 213, 289, 221, 297, 228, 304, 220, 296, 212, 288, 204, 280, 196, 272, 188, 264, 180, 256, 172, 248, 164, 240, 157, 233)(154, 230, 159, 235, 167, 243, 175, 251, 183, 259, 191, 267, 199, 275, 207, 283, 215, 291, 223, 299, 226, 302, 218, 294, 210, 286, 202, 278, 194, 270, 186, 262, 178, 254, 170, 246, 162, 238, 156, 232, 163, 239, 171, 247, 179, 255, 187, 263, 195, 271, 203, 279, 211, 287, 219, 295, 227, 303, 224, 300, 216, 292, 208, 284, 200, 276, 192, 268, 184, 260, 176, 252, 168, 244, 160, 236)
	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, 225)(66, 210)(67, 227)(68, 212)(69, 228)(70, 214)(71, 226)(72, 216)(73, 222)(74, 218)(75, 224)(76, 220)(77, 229)(78, 230)(79, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1617
Graph:: bipartite
	v = 21 e = 152 f = 95
	degree seq :: [ 8^19, 76^2 ]

E19.1617 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 38})
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, Y2^-2 * Y3^19, (Y3^-1 * Y1^-1)^38 ]
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, 228, 304, 226, 302)(220, 296, 223, 299, 225, 301, 227, 303)
	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, 225)(66, 210)(67, 227)(68, 212)(69, 228)(70, 214)(71, 226)(72, 216)(73, 222)(74, 218)(75, 224)(76, 220)(77, 229)(78, 230)(79, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 8, 76 ), ( 8, 76, 8, 76, 8, 76, 8, 76 ) }
Outer automorphisms :: reflexible
Dual of E19.1616
Graph:: simple bipartite
	v = 95 e = 152 f = 21
	degree seq :: [ 2^76, 8^19 ]

E19.1618 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 76, 76})
Quotient :: regular
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^38 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 36, 33, 34, 37, 40, 43, 45, 47, 49, 51, 57, 54, 55, 58, 61, 64, 66, 68, 70, 72, 74, 53, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 42, 39, 35, 38, 41, 44, 46, 48, 50, 52, 63, 60, 56, 59, 62, 65, 67, 69, 71, 73, 76, 75, 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, 42)(32, 53)(33, 35)(34, 38)(36, 39)(37, 41)(40, 44)(43, 46)(45, 48)(47, 50)(49, 52)(51, 63)(54, 56)(55, 59)(57, 60)(58, 62)(61, 65)(64, 67)(66, 69)(68, 71)(70, 73)(72, 76)(74, 75)
	local type(s) :: { ( 76^76 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 38 f = 1
	degree seq :: [ 76 ]

E19.1619 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 76, 76})
Quotient :: edge
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^38 * T1 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 37, 39, 41, 43, 45, 47, 50, 51, 53, 55, 57, 59, 61, 63, 65, 69, 71, 73, 75, 66, 49, 30, 26, 22, 18, 14, 10, 6, 2, 5, 9, 13, 17, 21, 25, 29, 33, 34, 36, 38, 40, 42, 44, 46, 48, 52, 54, 56, 58, 60, 62, 64, 67, 68, 70, 72, 74, 76, 32, 28, 24, 20, 16, 12, 8, 4)(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, 109)(108, 125)(110, 111)(112, 113)(114, 115)(116, 117)(118, 119)(120, 121)(122, 123)(124, 126)(127, 128)(129, 130)(131, 132)(133, 134)(135, 136)(137, 138)(139, 140)(141, 143)(142, 152)(144, 145)(146, 147)(148, 149)(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) :: { ( 152, 152 ), ( 152^76 ) }
Outer automorphisms :: reflexible
Dual of E19.1620
Transitivity :: ET+
Graph:: bipartite
	v = 39 e = 76 f = 1
	degree seq :: [ 2^38, 76 ]

E19.1620 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 76, 76})
Quotient :: loop
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^38 * T1 ]
Map::
	R = (1, 77, 3, 79, 7, 83, 11, 87, 15, 91, 19, 95, 23, 99, 27, 103, 31, 107, 33, 109, 35, 111, 38, 114, 40, 116, 42, 118, 44, 120, 46, 122, 48, 124, 50, 126, 52, 128, 54, 130, 57, 133, 59, 135, 61, 137, 63, 139, 65, 141, 67, 143, 69, 145, 71, 147, 73, 149, 70, 146, 51, 127, 30, 106, 26, 102, 22, 98, 18, 94, 14, 90, 10, 86, 6, 82, 2, 78, 5, 81, 9, 85, 13, 89, 17, 93, 21, 97, 25, 101, 29, 105, 37, 113, 34, 110, 36, 112, 39, 115, 41, 117, 43, 119, 45, 121, 47, 123, 49, 125, 56, 132, 53, 129, 55, 131, 58, 134, 60, 136, 62, 138, 64, 140, 66, 142, 68, 144, 75, 151, 72, 148, 74, 150, 76, 152, 32, 108, 28, 104, 24, 100, 20, 96, 16, 92, 12, 88, 8, 84, 4, 80)
	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, 113)(32, 127)(33, 110)(34, 109)(35, 112)(36, 111)(37, 107)(38, 115)(39, 114)(40, 117)(41, 116)(42, 119)(43, 118)(44, 121)(45, 120)(46, 123)(47, 122)(48, 125)(49, 124)(50, 132)(51, 108)(52, 129)(53, 128)(54, 131)(55, 130)(56, 126)(57, 134)(58, 133)(59, 136)(60, 135)(61, 138)(62, 137)(63, 140)(64, 139)(65, 142)(66, 141)(67, 144)(68, 143)(69, 151)(70, 152)(71, 148)(72, 147)(73, 150)(74, 149)(75, 145)(76, 146)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E19.1619
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 76 f = 39
	degree seq :: [ 152 ]

E19.1621 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 76, 76})
Quotient :: dipole
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|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 * Y1, (Y3 * Y2^-1)^76 ]
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, 36, 112)(32, 108, 51, 127)(33, 109, 34, 110)(35, 111, 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, 55, 131)(52, 128, 53, 129)(54, 130, 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, 74, 150)(70, 146, 76, 152)(71, 147, 72, 148)(73, 149, 75, 151)(153, 229, 155, 231, 159, 235, 163, 239, 167, 243, 171, 247, 175, 251, 179, 255, 183, 259, 186, 262, 189, 265, 191, 267, 193, 269, 195, 271, 197, 273, 199, 275, 201, 277, 207, 283, 204, 280, 206, 282, 209, 285, 211, 287, 213, 289, 215, 291, 217, 293, 219, 295, 221, 297, 224, 300, 227, 303, 222, 298, 203, 279, 182, 258, 178, 254, 174, 250, 170, 246, 166, 242, 162, 238, 158, 234, 154, 230, 157, 233, 161, 237, 165, 241, 169, 245, 173, 249, 177, 253, 181, 257, 188, 264, 185, 261, 187, 263, 190, 266, 192, 268, 194, 270, 196, 272, 198, 274, 200, 276, 202, 278, 205, 281, 208, 284, 210, 286, 212, 288, 214, 290, 216, 292, 218, 294, 220, 296, 226, 302, 223, 299, 225, 301, 228, 304, 184, 260, 180, 256, 176, 252, 172, 248, 168, 244, 164, 240, 160, 236, 156, 232)
	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, 188)(32, 203)(33, 186)(34, 185)(35, 189)(36, 183)(37, 187)(38, 191)(39, 190)(40, 193)(41, 192)(42, 195)(43, 194)(44, 197)(45, 196)(46, 199)(47, 198)(48, 201)(49, 200)(50, 207)(51, 184)(52, 205)(53, 204)(54, 208)(55, 202)(56, 206)(57, 210)(58, 209)(59, 212)(60, 211)(61, 214)(62, 213)(63, 216)(64, 215)(65, 218)(66, 217)(67, 220)(68, 219)(69, 226)(70, 228)(71, 224)(72, 223)(73, 227)(74, 221)(75, 225)(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, 152, 2, 152 ), ( 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152 ) }
Outer automorphisms :: reflexible
Dual of E19.1622
Graph:: bipartite
	v = 39 e = 152 f = 77
	degree seq :: [ 4^38, 152 ]

E19.1622 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 76, 76})
Quotient :: dipole
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|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 * Y1^38 ]
Map::
	R = (1, 77, 2, 78, 5, 81, 9, 85, 13, 89, 17, 93, 21, 97, 25, 101, 29, 105, 47, 123, 43, 119, 39, 115, 35, 111, 38, 114, 42, 118, 46, 122, 50, 126, 52, 128, 54, 130, 56, 132, 73, 149, 69, 145, 65, 141, 61, 137, 58, 134, 59, 135, 62, 138, 66, 142, 70, 146, 74, 150, 57, 133, 31, 107, 27, 103, 23, 99, 19, 95, 15, 91, 11, 87, 7, 83, 3, 79, 6, 82, 10, 86, 14, 90, 18, 94, 22, 98, 26, 102, 30, 106, 48, 124, 44, 120, 40, 116, 36, 112, 33, 109, 34, 110, 37, 113, 41, 117, 45, 121, 49, 125, 51, 127, 53, 129, 55, 131, 72, 148, 68, 144, 64, 140, 60, 136, 63, 139, 67, 143, 71, 147, 75, 151, 76, 152, 32, 108, 28, 104, 24, 100, 20, 96, 16, 92, 12, 88, 8, 84, 4, 80)(153, 229)(154, 230)(155, 231)(156, 232)(157, 233)(158, 234)(159, 235)(160, 236)(161, 237)(162, 238)(163, 239)(164, 240)(165, 241)(166, 242)(167, 243)(168, 244)(169, 245)(170, 246)(171, 247)(172, 248)(173, 249)(174, 250)(175, 251)(176, 252)(177, 253)(178, 254)(179, 255)(180, 256)(181, 257)(182, 258)(183, 259)(184, 260)(185, 261)(186, 262)(187, 263)(188, 264)(189, 265)(190, 266)(191, 267)(192, 268)(193, 269)(194, 270)(195, 271)(196, 272)(197, 273)(198, 274)(199, 275)(200, 276)(201, 277)(202, 278)(203, 279)(204, 280)(205, 281)(206, 282)(207, 283)(208, 284)(209, 285)(210, 286)(211, 287)(212, 288)(213, 289)(214, 290)(215, 291)(216, 292)(217, 293)(218, 294)(219, 295)(220, 296)(221, 297)(222, 298)(223, 299)(224, 300)(225, 301)(226, 302)(227, 303)(228, 304)
	L = (1, 155)(2, 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, 200)(30, 177)(31, 180)(32, 209)(33, 187)(34, 190)(35, 185)(36, 191)(37, 194)(38, 186)(39, 188)(40, 195)(41, 198)(42, 189)(43, 192)(44, 199)(45, 202)(46, 193)(47, 196)(48, 181)(49, 204)(50, 197)(51, 206)(52, 201)(53, 208)(54, 203)(55, 225)(56, 205)(57, 184)(58, 212)(59, 215)(60, 210)(61, 216)(62, 219)(63, 211)(64, 213)(65, 220)(66, 223)(67, 214)(68, 217)(69, 224)(70, 227)(71, 218)(72, 221)(73, 207)(74, 228)(75, 222)(76, 226)(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, 152 ), ( 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152, 4, 152 ) }
Outer automorphisms :: reflexible
Dual of E19.1621
Graph:: bipartite
	v = 77 e = 152 f = 39
	degree seq :: [ 2^76, 152 ]

E19.1623 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 26})
Quotient :: edge
Aut^+ = C2 x (C13 : C3) (small group id <78, 2>)
Aut   = C2 x (C13 : C3) (small group id <78, 2>)
|r| :: 1
Presentation :: [ X1^3, X2^6, X2^-1 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2^-1, X2^2 * X1 * X2^3 * X1^-1 * X2, X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 ]
Map:: non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 29, 31)(12, 32, 33)(15, 39, 40)(17, 27, 44)(21, 49, 50)(22, 51, 53)(23, 37, 41)(25, 43, 56)(28, 60, 61)(30, 45, 63)(34, 64, 36)(35, 48, 65)(38, 66, 46)(42, 47, 62)(52, 57, 68)(54, 74, 75)(55, 70, 76)(58, 77, 71)(59, 73, 78)(67, 69, 72)(79, 81, 87, 103, 93, 83)(80, 84, 95, 121, 99, 85)(82, 89, 108, 134, 112, 90)(86, 100, 130, 117, 132, 101)(88, 105, 137, 118, 97, 106)(91, 113, 109, 102, 133, 114)(92, 115, 136, 104, 135, 116)(94, 119, 145, 127, 146, 120)(96, 123, 149, 128, 110, 124)(98, 125, 148, 122, 147, 126)(107, 140, 152, 142, 150, 129)(111, 131, 151, 141, 153, 138)(139, 154, 144, 156, 143, 155)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 52^3 ), ( 52^6 ) }
Outer automorphisms :: chiral
Dual of E19.1628
Transitivity :: ET+
Graph:: simple bipartite
	v = 39 e = 78 f = 3
	degree seq :: [ 3^26, 6^13 ]

E19.1624 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 26})
Quotient :: edge
Aut^+ = C2 x (C13 : C3) (small group id <78, 2>)
Aut   = C2 x (C13 : C3) (small group id <78, 2>)
|r| :: 1
Presentation :: [ X1^6, X2^3 * X1^-1 * X2^-1 * X1, X1^6, (X2 * X1^-1)^3, (X2^-1 * X1^-1)^3, X1^-1 * X2 * X1^3 * X2^-1 * X1^-2, X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2^2 * X1^2 * X2^-2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 18, 13, 4)(3, 9, 27, 43, 32, 11)(5, 15, 40, 44, 41, 16)(7, 21, 51, 36, 54, 23)(8, 24, 56, 37, 57, 25)(10, 29, 61, 69, 63, 31)(12, 30, 47, 19, 45, 35)(14, 38, 49, 20, 48, 28)(17, 42, 59, 70, 62, 33)(22, 52, 76, 64, 78, 53)(26, 58, 75, 67, 77, 55)(34, 65, 72, 46, 71, 60)(39, 68, 73, 50, 74, 66)(79, 81, 88, 108, 134, 154, 143, 152, 133, 101, 126, 148, 122, 96, 121, 147, 123, 103, 131, 149, 146, 153, 129, 116, 95, 83)(80, 85, 100, 87, 106, 138, 107, 140, 151, 125, 119, 145, 115, 91, 114, 142, 110, 127, 150, 141, 120, 144, 113, 93, 104, 86)(82, 90, 112, 132, 118, 139, 156, 136, 111, 89, 102, 128, 98, 84, 97, 124, 99, 94, 109, 130, 155, 137, 105, 135, 117, 92)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 6^6 ), ( 6^26 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 78 f = 26
	degree seq :: [ 6^13, 26^3 ]

E19.1625 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 26})
Quotient :: edge
Aut^+ = C2 x (C13 : C3) (small group id <78, 2>)
Aut   = C2 x (C13 : C3) (small group id <78, 2>)
|r| :: 1
Presentation :: [ X2^3, X1 * X2^-1 * X1^-1 * X2 * X1^2, (X1^-2 * X2^-1)^3, X2 * X1^-2 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-2, (X2^-1 * X1^-1)^6, X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1^2 ]
Map:: non-degenerate
	R = (1, 2, 6, 16, 36, 64, 58, 71, 48, 24, 41, 66, 75, 78, 76, 77, 51, 27, 43, 67, 62, 74, 55, 30, 12, 4)(3, 9, 20, 7, 19, 38, 17, 37, 61, 33, 60, 73, 45, 72, 57, 68, 63, 35, 59, 54, 29, 53, 28, 11, 26, 10)(5, 14, 32, 23, 47, 70, 42, 46, 22, 8, 21, 44, 40, 69, 52, 56, 31, 13, 18, 39, 50, 65, 49, 25, 34, 15)(79, 81, 83)(80, 85, 86)(82, 89, 91)(84, 95, 96)(87, 101, 102)(88, 103, 105)(90, 107, 100)(92, 94, 111)(93, 108, 113)(97, 118, 119)(98, 120, 121)(99, 114, 123)(104, 128, 126)(106, 130, 129)(109, 133, 135)(110, 136, 137)(112, 140, 139)(115, 143, 144)(116, 134, 145)(117, 142, 146)(122, 149, 131)(124, 152, 151)(125, 153, 138)(127, 154, 141)(132, 148, 155)(147, 156, 150)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 12^3 ), ( 12^26 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 29 e = 78 f = 13
	degree seq :: [ 3^26, 26^3 ]

E19.1626 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 26})
Quotient :: loop
Aut^+ = C2 x (C13 : C3) (small group id <78, 2>)
Aut   = C2 x (C13 : C3) (small group id <78, 2>)
|r| :: 1
Presentation :: [ X1^3, X2^6, X2^-1 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2^-1, X2^2 * X1 * X2^3 * X1^-1 * X2, X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 79, 2, 80, 4, 82)(3, 81, 8, 86, 10, 88)(5, 83, 13, 91, 14, 92)(6, 84, 16, 94, 18, 96)(7, 85, 19, 97, 20, 98)(9, 87, 24, 102, 26, 104)(11, 89, 29, 107, 31, 109)(12, 90, 32, 110, 33, 111)(15, 93, 39, 117, 40, 118)(17, 95, 27, 105, 44, 122)(21, 99, 49, 127, 50, 128)(22, 100, 51, 129, 53, 131)(23, 101, 37, 115, 41, 119)(25, 103, 43, 121, 56, 134)(28, 106, 60, 138, 61, 139)(30, 108, 45, 123, 63, 141)(34, 112, 64, 142, 36, 114)(35, 113, 48, 126, 65, 143)(38, 116, 66, 144, 46, 124)(42, 120, 47, 125, 62, 140)(52, 130, 57, 135, 68, 146)(54, 132, 74, 152, 75, 153)(55, 133, 70, 148, 76, 154)(58, 136, 77, 155, 71, 149)(59, 137, 73, 151, 78, 156)(67, 145, 69, 147, 72, 150)
	L = (1, 81)(2, 84)(3, 87)(4, 89)(5, 79)(6, 95)(7, 80)(8, 100)(9, 103)(10, 105)(11, 108)(12, 82)(13, 113)(14, 115)(15, 83)(16, 119)(17, 121)(18, 123)(19, 106)(20, 125)(21, 85)(22, 130)(23, 86)(24, 133)(25, 93)(26, 135)(27, 137)(28, 88)(29, 140)(30, 134)(31, 102)(32, 124)(33, 131)(34, 90)(35, 109)(36, 91)(37, 136)(38, 92)(39, 132)(40, 97)(41, 145)(42, 94)(43, 99)(44, 147)(45, 149)(46, 96)(47, 148)(48, 98)(49, 146)(50, 110)(51, 107)(52, 117)(53, 151)(54, 101)(55, 114)(56, 112)(57, 116)(58, 104)(59, 118)(60, 111)(61, 154)(62, 152)(63, 153)(64, 150)(65, 155)(66, 156)(67, 127)(68, 120)(69, 126)(70, 122)(71, 128)(72, 129)(73, 141)(74, 142)(75, 138)(76, 144)(77, 139)(78, 143)
	local type(s) :: { ( 6, 26, 6, 26, 6, 26 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 26 e = 78 f = 16
	degree seq :: [ 6^26 ]

E19.1627 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 26})
Quotient :: loop
Aut^+ = C2 x (C13 : C3) (small group id <78, 2>)
Aut   = C2 x (C13 : C3) (small group id <78, 2>)
|r| :: 1
Presentation :: [ X1^6, X2^3 * X1^-1 * X2^-1 * X1, X1^6, (X2 * X1^-1)^3, (X2^-1 * X1^-1)^3, X1^-1 * X2 * X1^3 * X2^-1 * X1^-2, X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2^2 * X1^2 * X2^-2 * X1^-1 ]
Map:: non-degenerate
	R = (1, 79, 2, 80, 6, 84, 18, 96, 13, 91, 4, 82)(3, 81, 9, 87, 27, 105, 43, 121, 32, 110, 11, 89)(5, 83, 15, 93, 40, 118, 44, 122, 41, 119, 16, 94)(7, 85, 21, 99, 51, 129, 36, 114, 54, 132, 23, 101)(8, 86, 24, 102, 56, 134, 37, 115, 57, 135, 25, 103)(10, 88, 29, 107, 61, 139, 69, 147, 63, 141, 31, 109)(12, 90, 30, 108, 47, 125, 19, 97, 45, 123, 35, 113)(14, 92, 38, 116, 49, 127, 20, 98, 48, 126, 28, 106)(17, 95, 42, 120, 59, 137, 70, 148, 62, 140, 33, 111)(22, 100, 52, 130, 76, 154, 64, 142, 78, 156, 53, 131)(26, 104, 58, 136, 75, 153, 67, 145, 77, 155, 55, 133)(34, 112, 65, 143, 72, 150, 46, 124, 71, 149, 60, 138)(39, 117, 68, 146, 73, 151, 50, 128, 74, 152, 66, 144)
	L = (1, 81)(2, 85)(3, 88)(4, 90)(5, 79)(6, 97)(7, 100)(8, 80)(9, 106)(10, 108)(11, 102)(12, 112)(13, 114)(14, 82)(15, 104)(16, 109)(17, 83)(18, 121)(19, 124)(20, 84)(21, 94)(22, 87)(23, 126)(24, 128)(25, 131)(26, 86)(27, 135)(28, 138)(29, 140)(30, 134)(31, 130)(32, 127)(33, 89)(34, 132)(35, 93)(36, 142)(37, 91)(38, 95)(39, 92)(40, 139)(41, 145)(42, 144)(43, 147)(44, 96)(45, 103)(46, 99)(47, 119)(48, 148)(49, 150)(50, 98)(51, 116)(52, 155)(53, 149)(54, 118)(55, 101)(56, 154)(57, 117)(58, 111)(59, 105)(60, 107)(61, 156)(62, 151)(63, 120)(64, 110)(65, 152)(66, 113)(67, 115)(68, 153)(69, 123)(70, 122)(71, 146)(72, 141)(73, 125)(74, 133)(75, 129)(76, 143)(77, 137)(78, 136)
	local type(s) :: { ( 3, 26, 3, 26, 3, 26, 3, 26, 3, 26, 3, 26 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 13 e = 78 f = 29
	degree seq :: [ 12^13 ]

E19.1628 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 26})
Quotient :: loop
Aut^+ = C2 x (C13 : C3) (small group id <78, 2>)
Aut   = C2 x (C13 : C3) (small group id <78, 2>)
|r| :: 1
Presentation :: [ X2^3, X1 * X2^-1 * X1^-1 * X2 * X1^2, (X1^-2 * X2^-1)^3, X2 * X1^-2 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-2, (X2^-1 * X1^-1)^6, X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1^2 ]
Map:: non-degenerate
	R = (1, 79, 2, 80, 6, 84, 16, 94, 36, 114, 64, 142, 58, 136, 71, 149, 48, 126, 24, 102, 41, 119, 66, 144, 75, 153, 78, 156, 76, 154, 77, 155, 51, 129, 27, 105, 43, 121, 67, 145, 62, 140, 74, 152, 55, 133, 30, 108, 12, 90, 4, 82)(3, 81, 9, 87, 20, 98, 7, 85, 19, 97, 38, 116, 17, 95, 37, 115, 61, 139, 33, 111, 60, 138, 73, 151, 45, 123, 72, 150, 57, 135, 68, 146, 63, 141, 35, 113, 59, 137, 54, 132, 29, 107, 53, 131, 28, 106, 11, 89, 26, 104, 10, 88)(5, 83, 14, 92, 32, 110, 23, 101, 47, 125, 70, 148, 42, 120, 46, 124, 22, 100, 8, 86, 21, 99, 44, 122, 40, 118, 69, 147, 52, 130, 56, 134, 31, 109, 13, 91, 18, 96, 39, 117, 50, 128, 65, 143, 49, 127, 25, 103, 34, 112, 15, 93)
	L = (1, 81)(2, 85)(3, 83)(4, 89)(5, 79)(6, 95)(7, 86)(8, 80)(9, 101)(10, 103)(11, 91)(12, 107)(13, 82)(14, 94)(15, 108)(16, 111)(17, 96)(18, 84)(19, 118)(20, 120)(21, 114)(22, 90)(23, 102)(24, 87)(25, 105)(26, 128)(27, 88)(28, 130)(29, 100)(30, 113)(31, 133)(32, 136)(33, 92)(34, 140)(35, 93)(36, 123)(37, 143)(38, 134)(39, 142)(40, 119)(41, 97)(42, 121)(43, 98)(44, 149)(45, 99)(46, 152)(47, 153)(48, 104)(49, 154)(50, 126)(51, 106)(52, 129)(53, 122)(54, 148)(55, 135)(56, 145)(57, 109)(58, 137)(59, 110)(60, 125)(61, 112)(62, 139)(63, 127)(64, 146)(65, 144)(66, 115)(67, 116)(68, 117)(69, 156)(70, 155)(71, 131)(72, 147)(73, 124)(74, 151)(75, 138)(76, 141)(77, 132)(78, 150)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Dual of E19.1623
Transitivity :: ET+ VT+
Graph::
	v = 3 e = 78 f = 39
	degree seq :: [ 52^3 ]

E19.1629 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 39, 78})
Quotient :: regular
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-39 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 40, 36, 33, 34, 37, 41, 44, 47, 49, 51, 53, 63, 59, 56, 57, 60, 64, 67, 70, 72, 74, 76, 55, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 46, 43, 39, 35, 38, 42, 45, 48, 50, 52, 54, 69, 66, 62, 58, 61, 65, 68, 71, 73, 75, 77, 78, 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, 46)(32, 55)(33, 35)(34, 38)(36, 39)(37, 42)(40, 43)(41, 45)(44, 48)(47, 50)(49, 52)(51, 54)(53, 69)(56, 58)(57, 61)(59, 62)(60, 65)(63, 66)(64, 68)(67, 71)(70, 73)(72, 75)(74, 77)(76, 78)
	local type(s) :: { ( 39^78 ) }
Outer automorphisms :: reflexible
Dual of E19.1630
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 39 f = 2
	degree seq :: [ 78 ]

E19.1630 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 39, 78})
Quotient :: regular
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^39 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 36, 33, 34, 37, 40, 43, 45, 47, 49, 51, 57, 54, 55, 58, 61, 64, 66, 68, 70, 72, 76, 75, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 42, 39, 35, 38, 41, 44, 46, 48, 50, 52, 63, 60, 56, 59, 62, 65, 67, 69, 71, 73, 78, 77, 74, 53, 31, 27, 23, 19, 15, 11, 7)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 42)(32, 53)(33, 35)(34, 38)(36, 39)(37, 41)(40, 44)(43, 46)(45, 48)(47, 50)(49, 52)(51, 63)(54, 56)(55, 59)(57, 60)(58, 62)(61, 65)(64, 67)(66, 69)(68, 71)(70, 73)(72, 78)(74, 75)(76, 77)
	local type(s) :: { ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E19.1629
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 39 f = 1
	degree seq :: [ 39^2 ]

E19.1631 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 39, 78})
Quotient :: edge
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^39 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 37, 39, 41, 43, 45, 47, 50, 51, 53, 55, 57, 59, 61, 63, 65, 69, 71, 73, 75, 77, 78, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 33, 34, 36, 38, 40, 42, 44, 46, 48, 52, 54, 56, 58, 60, 62, 64, 67, 68, 70, 72, 74, 76, 66, 49, 30, 26, 22, 18, 14, 10, 6)(79, 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, 107)(106, 108)(109, 111)(110, 127)(112, 113)(114, 115)(116, 117)(118, 119)(120, 121)(122, 123)(124, 125)(126, 128)(129, 130)(131, 132)(133, 134)(135, 136)(137, 138)(139, 140)(141, 142)(143, 145)(144, 156)(146, 147)(148, 149)(150, 151)(152, 153)(154, 155)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 156, 156 ), ( 156^39 ) }
Outer automorphisms :: reflexible
Dual of E19.1635
Transitivity :: ET+
Graph:: simple bipartite
	v = 41 e = 78 f = 1
	degree seq :: [ 2^39, 39^2 ]

E19.1632 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 39, 78})
Quotient :: edge
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^37, T2^-2 * T1^17 * T2^-20 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 17, 21, 25, 29, 33, 46, 40, 39, 35, 37, 43, 47, 49, 51, 53, 55, 59, 72, 66, 65, 61, 63, 69, 73, 75, 77, 57, 32, 27, 24, 19, 16, 11, 8, 2, 7, 4, 10, 14, 18, 22, 26, 30, 34, 45, 42, 36, 41, 38, 44, 48, 50, 52, 54, 56, 60, 71, 68, 62, 67, 64, 70, 74, 76, 78, 58, 31, 28, 23, 20, 15, 12, 6, 5)(79, 80, 84, 89, 93, 97, 101, 105, 109, 135, 156, 153, 152, 147, 142, 139, 140, 144, 149, 137, 134, 131, 130, 127, 126, 121, 116, 113, 114, 118, 123, 111, 108, 103, 100, 95, 92, 87, 82)(81, 85, 83, 86, 90, 94, 98, 102, 106, 110, 136, 155, 154, 151, 148, 141, 145, 143, 146, 150, 138, 133, 132, 129, 128, 125, 122, 115, 119, 117, 120, 124, 112, 107, 104, 99, 96, 91, 88)
	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) :: { ( 4^39 ), ( 4^78 ) }
Outer automorphisms :: reflexible
Dual of E19.1636
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 78 f = 39
	degree seq :: [ 39^2, 78 ]

E19.1633 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 39, 78})
Quotient :: edge
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-39 ]
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, 40)(32, 53)(33, 35)(34, 38)(36, 39)(37, 42)(41, 44)(43, 46)(45, 48)(47, 50)(49, 52)(51, 61)(54, 56)(55, 59)(57, 60)(58, 63)(62, 65)(64, 67)(66, 69)(68, 71)(70, 73)(72, 78)(74, 75)(76, 77)(79, 80, 83, 87, 91, 95, 99, 103, 107, 117, 113, 116, 120, 122, 124, 126, 128, 130, 139, 135, 132, 133, 136, 140, 142, 144, 146, 148, 150, 155, 152, 131, 109, 105, 101, 97, 93, 89, 85, 81, 84, 88, 92, 96, 100, 104, 108, 118, 114, 111, 112, 115, 119, 121, 123, 125, 127, 129, 138, 134, 137, 141, 143, 145, 147, 149, 151, 156, 154, 153, 110, 106, 102, 98, 94, 90, 86, 82)
	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 ), ( 78^78 ) }
Outer automorphisms :: reflexible
Dual of E19.1634
Transitivity :: ET+
Graph:: bipartite
	v = 40 e = 78 f = 2
	degree seq :: [ 2^39, 78 ]

E19.1634 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 39, 78})
Quotient :: loop
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^39 ]
Map::
	R = (1, 79, 3, 81, 7, 85, 11, 89, 15, 93, 19, 97, 23, 101, 27, 105, 31, 109, 33, 111, 35, 113, 38, 116, 40, 118, 42, 120, 44, 122, 46, 124, 48, 126, 50, 128, 52, 130, 54, 132, 57, 135, 59, 137, 61, 139, 63, 141, 65, 143, 67, 145, 69, 147, 71, 149, 73, 151, 76, 154, 78, 156, 32, 110, 28, 106, 24, 102, 20, 98, 16, 94, 12, 90, 8, 86, 4, 82)(2, 80, 5, 83, 9, 87, 13, 91, 17, 95, 21, 99, 25, 103, 29, 107, 37, 115, 34, 112, 36, 114, 39, 117, 41, 119, 43, 121, 45, 123, 47, 125, 49, 127, 56, 134, 53, 131, 55, 133, 58, 136, 60, 138, 62, 140, 64, 142, 66, 144, 68, 146, 75, 153, 72, 150, 74, 152, 77, 155, 70, 148, 51, 129, 30, 108, 26, 104, 22, 100, 18, 96, 14, 92, 10, 88, 6, 84)
	L = (1, 80)(2, 79)(3, 83)(4, 84)(5, 81)(6, 82)(7, 87)(8, 88)(9, 85)(10, 86)(11, 91)(12, 92)(13, 89)(14, 90)(15, 95)(16, 96)(17, 93)(18, 94)(19, 99)(20, 100)(21, 97)(22, 98)(23, 103)(24, 104)(25, 101)(26, 102)(27, 107)(28, 108)(29, 105)(30, 106)(31, 115)(32, 129)(33, 112)(34, 111)(35, 114)(36, 113)(37, 109)(38, 117)(39, 116)(40, 119)(41, 118)(42, 121)(43, 120)(44, 123)(45, 122)(46, 125)(47, 124)(48, 127)(49, 126)(50, 134)(51, 110)(52, 131)(53, 130)(54, 133)(55, 132)(56, 128)(57, 136)(58, 135)(59, 138)(60, 137)(61, 140)(62, 139)(63, 142)(64, 141)(65, 144)(66, 143)(67, 146)(68, 145)(69, 153)(70, 156)(71, 150)(72, 149)(73, 152)(74, 151)(75, 147)(76, 155)(77, 154)(78, 148)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.1633
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 78 f = 40
	degree seq :: [ 78^2 ]

E19.1635 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 39, 78})
Quotient :: loop
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^37, T2^-2 * T1^17 * T2^-20 ]
Map::
	R = (1, 79, 3, 81, 9, 87, 13, 91, 17, 95, 21, 99, 25, 103, 29, 107, 33, 111, 55, 133, 77, 155, 76, 154, 73, 151, 72, 150, 69, 147, 68, 146, 65, 143, 64, 142, 58, 136, 63, 141, 60, 138, 53, 131, 52, 130, 49, 127, 48, 126, 45, 123, 44, 122, 40, 118, 39, 117, 35, 113, 37, 115, 32, 110, 27, 105, 24, 102, 19, 97, 16, 94, 11, 89, 8, 86, 2, 80, 7, 85, 4, 82, 10, 88, 14, 92, 18, 96, 22, 100, 26, 104, 30, 108, 34, 112, 56, 134, 78, 156, 75, 153, 74, 152, 71, 149, 70, 148, 67, 145, 66, 144, 62, 140, 61, 139, 57, 135, 59, 137, 54, 132, 51, 129, 50, 128, 47, 125, 46, 124, 43, 121, 42, 120, 36, 114, 41, 119, 38, 116, 31, 109, 28, 106, 23, 101, 20, 98, 15, 93, 12, 90, 6, 84, 5, 83)
	L = (1, 80)(2, 84)(3, 85)(4, 79)(5, 86)(6, 89)(7, 83)(8, 90)(9, 82)(10, 81)(11, 93)(12, 94)(13, 88)(14, 87)(15, 97)(16, 98)(17, 92)(18, 91)(19, 101)(20, 102)(21, 96)(22, 95)(23, 105)(24, 106)(25, 100)(26, 99)(27, 109)(28, 110)(29, 104)(30, 103)(31, 115)(32, 116)(33, 108)(34, 107)(35, 114)(36, 118)(37, 119)(38, 113)(39, 120)(40, 121)(41, 117)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 137)(54, 138)(55, 112)(56, 111)(57, 136)(58, 140)(59, 141)(60, 135)(61, 142)(62, 143)(63, 139)(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, 134)(78, 133)
	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, 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, 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 E19.1631
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 78 f = 41
	degree seq :: [ 156 ]

E19.1636 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 39, 78})
Quotient :: loop
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-39 ]
Map:: non-degenerate
	R = (1, 79, 3, 81)(2, 80, 6, 84)(4, 82, 7, 85)(5, 83, 10, 88)(8, 86, 11, 89)(9, 87, 14, 92)(12, 90, 15, 93)(13, 91, 18, 96)(16, 94, 19, 97)(17, 95, 22, 100)(20, 98, 23, 101)(21, 99, 26, 104)(24, 102, 27, 105)(25, 103, 30, 108)(28, 106, 31, 109)(29, 107, 46, 124)(32, 110, 55, 133)(33, 111, 35, 113)(34, 112, 38, 116)(36, 114, 39, 117)(37, 115, 42, 120)(40, 118, 43, 121)(41, 119, 45, 123)(44, 122, 48, 126)(47, 125, 50, 128)(49, 127, 52, 130)(51, 129, 54, 132)(53, 131, 69, 147)(56, 134, 58, 136)(57, 135, 61, 139)(59, 137, 62, 140)(60, 138, 65, 143)(63, 141, 66, 144)(64, 142, 68, 146)(67, 145, 71, 149)(70, 148, 73, 151)(72, 150, 75, 153)(74, 152, 77, 155)(76, 154, 78, 156)
	L = (1, 80)(2, 83)(3, 84)(4, 79)(5, 87)(6, 88)(7, 81)(8, 82)(9, 91)(10, 92)(11, 85)(12, 86)(13, 95)(14, 96)(15, 89)(16, 90)(17, 99)(18, 100)(19, 93)(20, 94)(21, 103)(22, 104)(23, 97)(24, 98)(25, 107)(26, 108)(27, 101)(28, 102)(29, 118)(30, 124)(31, 105)(32, 106)(33, 112)(34, 115)(35, 116)(36, 111)(37, 119)(38, 120)(39, 113)(40, 114)(41, 122)(42, 123)(43, 117)(44, 125)(45, 126)(46, 121)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 141)(54, 147)(55, 109)(56, 135)(57, 138)(58, 139)(59, 134)(60, 142)(61, 143)(62, 136)(63, 137)(64, 145)(65, 146)(66, 140)(67, 148)(68, 149)(69, 144)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 133)(77, 156)(78, 110)
	local type(s) :: { ( 39, 78, 39, 78 ) }
Outer automorphisms :: reflexible
Dual of E19.1632
Transitivity :: ET+ VT+ AT
Graph::
	v = 39 e = 78 f = 3
	degree seq :: [ 4^39 ]

E19.1637 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 39, 78})
Quotient :: dipole
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|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, Y2^39, (Y3 * Y2^-1)^78 ]
Map::
	R = (1, 79, 2, 80)(3, 81, 5, 83)(4, 82, 6, 84)(7, 85, 9, 87)(8, 86, 10, 88)(11, 89, 13, 91)(12, 90, 14, 92)(15, 93, 17, 95)(16, 94, 18, 96)(19, 97, 21, 99)(20, 98, 22, 100)(23, 101, 25, 103)(24, 102, 26, 104)(27, 105, 29, 107)(28, 106, 30, 108)(31, 109, 45, 123)(32, 110, 55, 133)(33, 111, 34, 112)(35, 113, 37, 115)(36, 114, 38, 116)(39, 117, 41, 119)(40, 118, 42, 120)(43, 121, 44, 122)(46, 124, 47, 125)(48, 126, 49, 127)(50, 128, 51, 129)(52, 130, 53, 131)(54, 132, 68, 146)(56, 134, 57, 135)(58, 136, 60, 138)(59, 137, 61, 139)(62, 140, 64, 142)(63, 141, 65, 143)(66, 144, 67, 145)(69, 147, 70, 148)(71, 149, 72, 150)(73, 151, 74, 152)(75, 153, 76, 154)(77, 155, 78, 156)(157, 235, 159, 237, 163, 241, 167, 245, 171, 249, 175, 253, 179, 257, 183, 261, 187, 265, 196, 274, 192, 270, 189, 267, 191, 269, 195, 273, 199, 277, 202, 280, 204, 282, 206, 284, 208, 286, 210, 288, 219, 297, 215, 293, 212, 290, 214, 292, 218, 296, 222, 300, 225, 303, 227, 305, 229, 307, 231, 309, 233, 311, 188, 266, 184, 262, 180, 258, 176, 254, 172, 250, 168, 246, 164, 242, 160, 238)(158, 236, 161, 239, 165, 243, 169, 247, 173, 251, 177, 255, 181, 259, 185, 263, 201, 279, 198, 276, 194, 272, 190, 268, 193, 271, 197, 275, 200, 278, 203, 281, 205, 283, 207, 285, 209, 287, 224, 302, 221, 299, 217, 295, 213, 291, 216, 294, 220, 298, 223, 301, 226, 304, 228, 306, 230, 308, 232, 310, 234, 312, 211, 289, 186, 264, 182, 260, 178, 256, 174, 252, 170, 248, 166, 244, 162, 240)
	L = (1, 158)(2, 157)(3, 161)(4, 162)(5, 159)(6, 160)(7, 165)(8, 166)(9, 163)(10, 164)(11, 169)(12, 170)(13, 167)(14, 168)(15, 173)(16, 174)(17, 171)(18, 172)(19, 177)(20, 178)(21, 175)(22, 176)(23, 181)(24, 182)(25, 179)(26, 180)(27, 185)(28, 186)(29, 183)(30, 184)(31, 201)(32, 211)(33, 190)(34, 189)(35, 193)(36, 194)(37, 191)(38, 192)(39, 197)(40, 198)(41, 195)(42, 196)(43, 200)(44, 199)(45, 187)(46, 203)(47, 202)(48, 205)(49, 204)(50, 207)(51, 206)(52, 209)(53, 208)(54, 224)(55, 188)(56, 213)(57, 212)(58, 216)(59, 217)(60, 214)(61, 215)(62, 220)(63, 221)(64, 218)(65, 219)(66, 223)(67, 222)(68, 210)(69, 226)(70, 225)(71, 228)(72, 227)(73, 230)(74, 229)(75, 232)(76, 231)(77, 234)(78, 233)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 2, 156, 2, 156 ), ( 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156, 2, 156 ) }
Outer automorphisms :: reflexible
Dual of E19.1640
Graph:: bipartite
	v = 41 e = 156 f = 79
	degree seq :: [ 4^39, 78^2 ]

E19.1638 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 39, 78})
Quotient :: dipole
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), (Y3^-1 * Y1^-1)^2, Y2^18 * Y1^18, Y2^22 * Y1^-17, Y2^-20 * Y1^19, Y1^39 ]
Map::
	R = (1, 79, 2, 80, 6, 84, 11, 89, 15, 93, 19, 97, 23, 101, 27, 105, 31, 109, 37, 115, 41, 119, 39, 117, 42, 120, 44, 122, 46, 124, 48, 126, 50, 128, 52, 130, 54, 132, 60, 138, 57, 135, 58, 136, 62, 140, 65, 143, 67, 145, 69, 147, 71, 149, 73, 151, 75, 153, 77, 155, 56, 134, 33, 111, 30, 108, 25, 103, 22, 100, 17, 95, 14, 92, 9, 87, 4, 82)(3, 81, 7, 85, 5, 83, 8, 86, 12, 90, 16, 94, 20, 98, 24, 102, 28, 106, 32, 110, 38, 116, 35, 113, 36, 114, 40, 118, 43, 121, 45, 123, 47, 125, 49, 127, 51, 129, 53, 131, 59, 137, 63, 141, 61, 139, 64, 142, 66, 144, 68, 146, 70, 148, 72, 150, 74, 152, 76, 154, 78, 156, 55, 133, 34, 112, 29, 107, 26, 104, 21, 99, 18, 96, 13, 91, 10, 88)(157, 235, 159, 237, 165, 243, 169, 247, 173, 251, 177, 255, 181, 259, 185, 263, 189, 267, 211, 289, 233, 311, 232, 310, 229, 307, 228, 306, 225, 303, 224, 302, 221, 299, 220, 298, 214, 292, 219, 297, 216, 294, 209, 287, 208, 286, 205, 283, 204, 282, 201, 279, 200, 278, 196, 274, 195, 273, 191, 269, 193, 271, 188, 266, 183, 261, 180, 258, 175, 253, 172, 250, 167, 245, 164, 242, 158, 236, 163, 241, 160, 238, 166, 244, 170, 248, 174, 252, 178, 256, 182, 260, 186, 264, 190, 268, 212, 290, 234, 312, 231, 309, 230, 308, 227, 305, 226, 304, 223, 301, 222, 300, 218, 296, 217, 295, 213, 291, 215, 293, 210, 288, 207, 285, 206, 284, 203, 281, 202, 280, 199, 277, 198, 276, 192, 270, 197, 275, 194, 272, 187, 265, 184, 262, 179, 257, 176, 254, 171, 249, 168, 246, 162, 240, 161, 239)
	L = (1, 159)(2, 163)(3, 165)(4, 166)(5, 157)(6, 161)(7, 160)(8, 158)(9, 169)(10, 170)(11, 164)(12, 162)(13, 173)(14, 174)(15, 168)(16, 167)(17, 177)(18, 178)(19, 172)(20, 171)(21, 181)(22, 182)(23, 176)(24, 175)(25, 185)(26, 186)(27, 180)(28, 179)(29, 189)(30, 190)(31, 184)(32, 183)(33, 211)(34, 212)(35, 193)(36, 197)(37, 188)(38, 187)(39, 191)(40, 195)(41, 194)(42, 192)(43, 198)(44, 196)(45, 200)(46, 199)(47, 202)(48, 201)(49, 204)(50, 203)(51, 206)(52, 205)(53, 208)(54, 207)(55, 233)(56, 234)(57, 215)(58, 219)(59, 210)(60, 209)(61, 213)(62, 217)(63, 216)(64, 214)(65, 220)(66, 218)(67, 222)(68, 221)(69, 224)(70, 223)(71, 226)(72, 225)(73, 228)(74, 227)(75, 230)(76, 229)(77, 232)(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, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E19.1639
Graph:: bipartite
	v = 3 e = 156 f = 117
	degree seq :: [ 78^2, 156 ]

E19.1639 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 39, 78})
Quotient :: dipole
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^39 * Y2, (Y3^-1 * Y1^-1)^78 ]
Map::
	R = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)(157, 235, 158, 236)(159, 237, 161, 239)(160, 238, 162, 240)(163, 241, 165, 243)(164, 242, 166, 244)(167, 245, 169, 247)(168, 246, 170, 248)(171, 249, 173, 251)(172, 250, 174, 252)(175, 253, 177, 255)(176, 254, 178, 256)(179, 257, 181, 259)(180, 258, 182, 260)(183, 261, 185, 263)(184, 262, 186, 264)(187, 265, 197, 275)(188, 266, 209, 287)(189, 267, 190, 268)(191, 269, 193, 271)(192, 270, 194, 272)(195, 273, 196, 274)(198, 276, 199, 277)(200, 278, 201, 279)(202, 280, 203, 281)(204, 282, 205, 283)(206, 284, 207, 285)(208, 286, 218, 296)(210, 288, 211, 289)(212, 290, 214, 292)(213, 291, 215, 293)(216, 294, 217, 295)(219, 297, 220, 298)(221, 299, 222, 300)(223, 301, 224, 302)(225, 303, 226, 304)(227, 305, 228, 306)(229, 307, 234, 312)(230, 308, 231, 309)(232, 310, 233, 311)
	L = (1, 159)(2, 161)(3, 163)(4, 157)(5, 165)(6, 158)(7, 167)(8, 160)(9, 169)(10, 162)(11, 171)(12, 164)(13, 173)(14, 166)(15, 175)(16, 168)(17, 177)(18, 170)(19, 179)(20, 172)(21, 181)(22, 174)(23, 183)(24, 176)(25, 185)(26, 178)(27, 187)(28, 180)(29, 197)(30, 182)(31, 192)(32, 184)(33, 191)(34, 193)(35, 195)(36, 189)(37, 196)(38, 190)(39, 198)(40, 199)(41, 194)(42, 200)(43, 201)(44, 202)(45, 203)(46, 204)(47, 205)(48, 206)(49, 207)(50, 208)(51, 218)(52, 213)(53, 186)(54, 212)(55, 214)(56, 216)(57, 210)(58, 217)(59, 211)(60, 219)(61, 220)(62, 215)(63, 221)(64, 222)(65, 223)(66, 224)(67, 225)(68, 226)(69, 227)(70, 228)(71, 229)(72, 234)(73, 232)(74, 209)(75, 188)(76, 230)(77, 231)(78, 233)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 78, 156 ), ( 78, 156, 78, 156 ) }
Outer automorphisms :: reflexible
Dual of E19.1638
Graph:: simple bipartite
	v = 117 e = 156 f = 3
	degree seq :: [ 2^78, 4^39 ]

E19.1640 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 39, 78})
Quotient :: dipole
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y2^-1)^2, Y3 * Y1^-39 ]
Map::
	R = (1, 79, 2, 80, 5, 83, 9, 87, 13, 91, 17, 95, 21, 99, 25, 103, 29, 107, 35, 113, 38, 116, 40, 118, 42, 120, 44, 122, 46, 124, 48, 126, 50, 128, 55, 133, 52, 130, 53, 131, 56, 134, 58, 136, 60, 138, 62, 140, 64, 142, 66, 144, 68, 146, 73, 151, 76, 154, 78, 156, 70, 148, 51, 129, 31, 109, 27, 105, 23, 101, 19, 97, 15, 93, 11, 89, 7, 85, 3, 81, 6, 84, 10, 88, 14, 92, 18, 96, 22, 100, 26, 104, 30, 108, 36, 114, 33, 111, 34, 112, 37, 115, 39, 117, 41, 119, 43, 121, 45, 123, 47, 125, 49, 127, 54, 132, 57, 135, 59, 137, 61, 139, 63, 141, 65, 143, 67, 145, 69, 147, 74, 152, 71, 149, 72, 150, 75, 153, 77, 155, 32, 110, 28, 106, 24, 102, 20, 98, 16, 94, 12, 90, 8, 86, 4, 82)(157, 235)(158, 236)(159, 237)(160, 238)(161, 239)(162, 240)(163, 241)(164, 242)(165, 243)(166, 244)(167, 245)(168, 246)(169, 247)(170, 248)(171, 249)(172, 250)(173, 251)(174, 252)(175, 253)(176, 254)(177, 255)(178, 256)(179, 257)(180, 258)(181, 259)(182, 260)(183, 261)(184, 262)(185, 263)(186, 264)(187, 265)(188, 266)(189, 267)(190, 268)(191, 269)(192, 270)(193, 271)(194, 272)(195, 273)(196, 274)(197, 275)(198, 276)(199, 277)(200, 278)(201, 279)(202, 280)(203, 281)(204, 282)(205, 283)(206, 284)(207, 285)(208, 286)(209, 287)(210, 288)(211, 289)(212, 290)(213, 291)(214, 292)(215, 293)(216, 294)(217, 295)(218, 296)(219, 297)(220, 298)(221, 299)(222, 300)(223, 301)(224, 302)(225, 303)(226, 304)(227, 305)(228, 306)(229, 307)(230, 308)(231, 309)(232, 310)(233, 311)(234, 312)
	L = (1, 159)(2, 162)(3, 157)(4, 163)(5, 166)(6, 158)(7, 160)(8, 167)(9, 170)(10, 161)(11, 164)(12, 171)(13, 174)(14, 165)(15, 168)(16, 175)(17, 178)(18, 169)(19, 172)(20, 179)(21, 182)(22, 173)(23, 176)(24, 183)(25, 186)(26, 177)(27, 180)(28, 187)(29, 192)(30, 181)(31, 184)(32, 207)(33, 191)(34, 194)(35, 189)(36, 185)(37, 196)(38, 190)(39, 198)(40, 193)(41, 200)(42, 195)(43, 202)(44, 197)(45, 204)(46, 199)(47, 206)(48, 201)(49, 211)(50, 203)(51, 188)(52, 210)(53, 213)(54, 208)(55, 205)(56, 215)(57, 209)(58, 217)(59, 212)(60, 219)(61, 214)(62, 221)(63, 216)(64, 223)(65, 218)(66, 225)(67, 220)(68, 230)(69, 222)(70, 233)(71, 229)(72, 232)(73, 227)(74, 224)(75, 234)(76, 228)(77, 226)(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, 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, 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, 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 E19.1637
Graph:: bipartite
	v = 79 e = 156 f = 41
	degree seq :: [ 2^78, 156 ]

E19.1641 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 39, 78})
Quotient :: dipole
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|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, Y2^39 * Y1, (Y3 * Y2^-1)^39 ]
Map::
	R = (1, 79, 2, 80)(3, 81, 5, 83)(4, 82, 6, 84)(7, 85, 9, 87)(8, 86, 10, 88)(11, 89, 13, 91)(12, 90, 14, 92)(15, 93, 17, 95)(16, 94, 18, 96)(19, 97, 21, 99)(20, 98, 22, 100)(23, 101, 25, 103)(24, 102, 26, 104)(27, 105, 29, 107)(28, 106, 30, 108)(31, 109, 37, 115)(32, 110, 51, 129)(33, 111, 34, 112)(35, 113, 36, 114)(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, 56, 134)(52, 130, 53, 131)(54, 132, 55, 133)(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, 75, 153)(70, 148, 78, 156)(71, 149, 72, 150)(73, 151, 74, 152)(76, 154, 77, 155)(157, 235, 159, 237, 163, 241, 167, 245, 171, 249, 175, 253, 179, 257, 183, 261, 187, 265, 189, 267, 191, 269, 194, 272, 196, 274, 198, 276, 200, 278, 202, 280, 204, 282, 206, 284, 208, 286, 210, 288, 213, 291, 215, 293, 217, 295, 219, 297, 221, 299, 223, 301, 225, 303, 227, 305, 229, 307, 232, 310, 226, 304, 207, 285, 186, 264, 182, 260, 178, 256, 174, 252, 170, 248, 166, 244, 162, 240, 158, 236, 161, 239, 165, 243, 169, 247, 173, 251, 177, 255, 181, 259, 185, 263, 193, 271, 190, 268, 192, 270, 195, 273, 197, 275, 199, 277, 201, 279, 203, 281, 205, 283, 212, 290, 209, 287, 211, 289, 214, 292, 216, 294, 218, 296, 220, 298, 222, 300, 224, 302, 231, 309, 228, 306, 230, 308, 233, 311, 234, 312, 188, 266, 184, 262, 180, 258, 176, 254, 172, 250, 168, 246, 164, 242, 160, 238)
	L = (1, 158)(2, 157)(3, 161)(4, 162)(5, 159)(6, 160)(7, 165)(8, 166)(9, 163)(10, 164)(11, 169)(12, 170)(13, 167)(14, 168)(15, 173)(16, 174)(17, 171)(18, 172)(19, 177)(20, 178)(21, 175)(22, 176)(23, 181)(24, 182)(25, 179)(26, 180)(27, 185)(28, 186)(29, 183)(30, 184)(31, 193)(32, 207)(33, 190)(34, 189)(35, 192)(36, 191)(37, 187)(38, 195)(39, 194)(40, 197)(41, 196)(42, 199)(43, 198)(44, 201)(45, 200)(46, 203)(47, 202)(48, 205)(49, 204)(50, 212)(51, 188)(52, 209)(53, 208)(54, 211)(55, 210)(56, 206)(57, 214)(58, 213)(59, 216)(60, 215)(61, 218)(62, 217)(63, 220)(64, 219)(65, 222)(66, 221)(67, 224)(68, 223)(69, 231)(70, 234)(71, 228)(72, 227)(73, 230)(74, 229)(75, 225)(76, 233)(77, 232)(78, 226)(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, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 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 E19.1642
Graph:: bipartite
	v = 40 e = 156 f = 80
	degree seq :: [ 4^39, 156 ]

E19.1642 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 39, 78})
Quotient :: dipole
Aut^+ = C78 (small group id <78, 6>)
Aut   = D156 (small group id <156, 17>)
|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 * Y1^37, Y3^-2 * Y1^17 * Y3^-20, (Y3 * Y2^-1)^78 ]
Map::
	R = (1, 79, 2, 80, 6, 84, 11, 89, 15, 93, 19, 97, 23, 101, 27, 105, 31, 109, 53, 131, 75, 153, 77, 155, 74, 152, 71, 149, 70, 148, 67, 145, 66, 144, 63, 141, 60, 138, 57, 135, 58, 136, 56, 134, 51, 129, 50, 128, 47, 125, 46, 124, 43, 121, 42, 120, 37, 115, 40, 118, 39, 117, 33, 111, 30, 108, 25, 103, 22, 100, 17, 95, 14, 92, 9, 87, 4, 82)(3, 81, 7, 85, 5, 83, 8, 86, 12, 90, 16, 94, 20, 98, 24, 102, 28, 106, 32, 110, 54, 132, 76, 154, 78, 156, 73, 151, 72, 150, 69, 147, 68, 146, 65, 143, 64, 142, 59, 137, 62, 140, 61, 139, 55, 133, 52, 130, 49, 127, 48, 126, 45, 123, 44, 122, 41, 119, 38, 116, 35, 113, 36, 114, 34, 112, 29, 107, 26, 104, 21, 99, 18, 96, 13, 91, 10, 88)(157, 235)(158, 236)(159, 237)(160, 238)(161, 239)(162, 240)(163, 241)(164, 242)(165, 243)(166, 244)(167, 245)(168, 246)(169, 247)(170, 248)(171, 249)(172, 250)(173, 251)(174, 252)(175, 253)(176, 254)(177, 255)(178, 256)(179, 257)(180, 258)(181, 259)(182, 260)(183, 261)(184, 262)(185, 263)(186, 264)(187, 265)(188, 266)(189, 267)(190, 268)(191, 269)(192, 270)(193, 271)(194, 272)(195, 273)(196, 274)(197, 275)(198, 276)(199, 277)(200, 278)(201, 279)(202, 280)(203, 281)(204, 282)(205, 283)(206, 284)(207, 285)(208, 286)(209, 287)(210, 288)(211, 289)(212, 290)(213, 291)(214, 292)(215, 293)(216, 294)(217, 295)(218, 296)(219, 297)(220, 298)(221, 299)(222, 300)(223, 301)(224, 302)(225, 303)(226, 304)(227, 305)(228, 306)(229, 307)(230, 308)(231, 309)(232, 310)(233, 311)(234, 312)
	L = (1, 159)(2, 163)(3, 165)(4, 166)(5, 157)(6, 161)(7, 160)(8, 158)(9, 169)(10, 170)(11, 164)(12, 162)(13, 173)(14, 174)(15, 168)(16, 167)(17, 177)(18, 178)(19, 172)(20, 171)(21, 181)(22, 182)(23, 176)(24, 175)(25, 185)(26, 186)(27, 180)(28, 179)(29, 189)(30, 190)(31, 184)(32, 183)(33, 192)(34, 195)(35, 193)(36, 196)(37, 197)(38, 198)(39, 191)(40, 194)(41, 199)(42, 200)(43, 201)(44, 202)(45, 203)(46, 204)(47, 205)(48, 206)(49, 207)(50, 208)(51, 211)(52, 212)(53, 188)(54, 187)(55, 214)(56, 217)(57, 215)(58, 218)(59, 219)(60, 220)(61, 213)(62, 216)(63, 221)(64, 222)(65, 223)(66, 224)(67, 225)(68, 226)(69, 227)(70, 228)(71, 229)(72, 230)(73, 233)(74, 234)(75, 210)(76, 209)(77, 232)(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, 156 ), ( 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156, 4, 156 ) }
Outer automorphisms :: reflexible
Dual of E19.1641
Graph:: simple bipartite
	v = 80 e = 156 f = 40
	degree seq :: [ 2^78, 78^2 ]

E19.1643 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 20})
Quotient :: dipole
Aut^+ = C2 x D40 (small group id <80, 37>)
Aut   = C2 x C2 x D40 (small group id <160, 215>)
|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)^20 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 5, 85)(4, 84, 8, 88)(6, 86, 10, 90)(7, 87, 11, 91)(9, 89, 13, 93)(12, 92, 16, 96)(14, 94, 18, 98)(15, 95, 19, 99)(17, 97, 21, 101)(20, 100, 24, 104)(22, 102, 26, 106)(23, 103, 27, 107)(25, 105, 29, 109)(28, 108, 32, 112)(30, 110, 54, 134)(31, 111, 55, 135)(33, 113, 57, 137)(34, 114, 59, 139)(35, 115, 61, 141)(36, 116, 60, 140)(37, 117, 64, 144)(38, 118, 58, 138)(39, 119, 65, 145)(40, 120, 66, 146)(41, 121, 62, 142)(42, 122, 67, 147)(43, 123, 68, 148)(44, 124, 63, 143)(45, 125, 69, 149)(46, 126, 70, 150)(47, 127, 71, 151)(48, 128, 72, 152)(49, 129, 73, 153)(50, 130, 74, 154)(51, 131, 75, 155)(52, 132, 76, 156)(53, 133, 77, 157)(56, 136, 78, 158)(79, 159, 80, 160)(161, 241, 163, 243)(162, 242, 165, 245)(164, 244, 167, 247)(166, 246, 169, 249)(168, 248, 171, 251)(170, 250, 173, 253)(172, 252, 175, 255)(174, 254, 177, 257)(176, 256, 179, 259)(178, 258, 181, 261)(180, 260, 183, 263)(182, 262, 185, 265)(184, 264, 187, 267)(186, 266, 189, 269)(188, 268, 191, 271)(190, 270, 204, 284)(192, 272, 215, 295)(193, 273, 195, 275)(194, 274, 197, 277)(196, 276, 199, 279)(198, 278, 201, 281)(200, 280, 203, 283)(202, 282, 205, 285)(206, 286, 208, 288)(207, 287, 209, 289)(210, 290, 212, 292)(211, 291, 213, 293)(214, 294, 223, 303)(216, 296, 239, 319)(217, 297, 221, 301)(218, 298, 222, 302)(219, 299, 224, 304)(220, 300, 225, 305)(226, 306, 228, 308)(227, 307, 229, 309)(230, 310, 232, 312)(231, 311, 233, 313)(234, 314, 236, 316)(235, 315, 237, 317)(238, 318, 240, 320)
	L = (1, 164)(2, 166)(3, 167)(4, 161)(5, 169)(6, 162)(7, 163)(8, 172)(9, 165)(10, 174)(11, 175)(12, 168)(13, 177)(14, 170)(15, 171)(16, 180)(17, 173)(18, 182)(19, 183)(20, 176)(21, 185)(22, 178)(23, 179)(24, 188)(25, 181)(26, 190)(27, 191)(28, 184)(29, 204)(30, 186)(31, 187)(32, 201)(33, 218)(34, 220)(35, 222)(36, 223)(37, 225)(38, 215)(39, 214)(40, 217)(41, 192)(42, 219)(43, 221)(44, 189)(45, 224)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 199)(55, 198)(56, 234)(57, 200)(58, 193)(59, 202)(60, 194)(61, 203)(62, 195)(63, 196)(64, 205)(65, 197)(66, 206)(67, 207)(68, 208)(69, 209)(70, 210)(71, 211)(72, 212)(73, 213)(74, 216)(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) :: { ( 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.1648
Graph:: simple bipartite
	v = 80 e = 160 f = 44
	degree seq :: [ 4^80 ]

E19.1644 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 20})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y3 * Y1 * Y2)^2, (Y1 * Y2)^4, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 7, 87)(4, 84, 9, 89)(5, 85, 10, 90)(6, 86, 12, 92)(8, 88, 15, 95)(11, 91, 20, 100)(13, 93, 18, 98)(14, 94, 21, 101)(16, 96, 19, 99)(17, 97, 27, 107)(22, 102, 32, 112)(23, 103, 29, 109)(24, 104, 28, 108)(25, 105, 34, 114)(26, 106, 35, 115)(30, 110, 38, 118)(31, 111, 39, 119)(33, 113, 41, 121)(36, 116, 44, 124)(37, 117, 45, 125)(40, 120, 48, 128)(42, 122, 50, 130)(43, 123, 51, 131)(46, 126, 54, 134)(47, 127, 55, 135)(49, 129, 57, 137)(52, 132, 60, 140)(53, 133, 61, 141)(56, 136, 64, 144)(58, 138, 66, 146)(59, 139, 67, 147)(62, 142, 70, 150)(63, 143, 71, 151)(65, 145, 73, 153)(68, 148, 76, 156)(69, 149, 77, 157)(72, 152, 80, 160)(74, 154, 78, 158)(75, 155, 79, 159)(161, 241, 163, 243)(162, 242, 165, 245)(164, 244, 168, 248)(166, 246, 171, 251)(167, 247, 173, 253)(169, 249, 176, 256)(170, 250, 178, 258)(172, 252, 181, 261)(174, 254, 183, 263)(175, 255, 184, 264)(177, 257, 186, 266)(179, 259, 188, 268)(180, 260, 189, 269)(182, 262, 191, 271)(185, 265, 193, 273)(187, 267, 194, 274)(190, 270, 197, 277)(192, 272, 198, 278)(195, 275, 201, 281)(196, 276, 202, 282)(199, 279, 205, 285)(200, 280, 206, 286)(203, 283, 209, 289)(204, 284, 211, 291)(207, 287, 213, 293)(208, 288, 215, 295)(210, 290, 217, 297)(212, 292, 219, 299)(214, 294, 221, 301)(216, 296, 223, 303)(218, 298, 225, 305)(220, 300, 226, 306)(222, 302, 229, 309)(224, 304, 230, 310)(227, 307, 233, 313)(228, 308, 234, 314)(231, 311, 237, 317)(232, 312, 238, 318)(235, 315, 240, 320)(236, 316, 239, 319)
	L = (1, 164)(2, 166)(3, 168)(4, 161)(5, 171)(6, 162)(7, 174)(8, 163)(9, 177)(10, 179)(11, 165)(12, 182)(13, 183)(14, 167)(15, 185)(16, 186)(17, 169)(18, 188)(19, 170)(20, 190)(21, 191)(22, 172)(23, 173)(24, 193)(25, 175)(26, 176)(27, 196)(28, 178)(29, 197)(30, 180)(31, 181)(32, 200)(33, 184)(34, 202)(35, 203)(36, 187)(37, 189)(38, 206)(39, 207)(40, 192)(41, 209)(42, 194)(43, 195)(44, 212)(45, 213)(46, 198)(47, 199)(48, 216)(49, 201)(50, 218)(51, 219)(52, 204)(53, 205)(54, 222)(55, 223)(56, 208)(57, 225)(58, 210)(59, 211)(60, 228)(61, 229)(62, 214)(63, 215)(64, 232)(65, 217)(66, 234)(67, 235)(68, 220)(69, 221)(70, 238)(71, 239)(72, 224)(73, 240)(74, 226)(75, 227)(76, 237)(77, 236)(78, 230)(79, 231)(80, 233)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.1650
Graph:: simple bipartite
	v = 80 e = 160 f = 44
	degree seq :: [ 4^80 ]

E19.1645 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 20})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (Y1 * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y2 * Y3^-2 * Y2 * Y3, (Y3 * Y1 * Y3^-1 * Y2)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 6, 86)(4, 84, 11, 91)(5, 85, 13, 93)(7, 87, 16, 96)(8, 88, 18, 98)(9, 89, 19, 99)(10, 90, 21, 101)(12, 92, 17, 97)(14, 94, 24, 104)(15, 95, 26, 106)(20, 100, 25, 105)(22, 102, 31, 111)(23, 103, 32, 112)(27, 107, 35, 115)(28, 108, 36, 116)(29, 109, 37, 117)(30, 110, 38, 118)(33, 113, 41, 121)(34, 114, 42, 122)(39, 119, 47, 127)(40, 120, 48, 128)(43, 123, 51, 131)(44, 124, 52, 132)(45, 125, 53, 133)(46, 126, 54, 134)(49, 129, 57, 137)(50, 130, 58, 138)(55, 135, 63, 143)(56, 136, 64, 144)(59, 139, 67, 147)(60, 140, 68, 148)(61, 141, 69, 149)(62, 142, 70, 150)(65, 145, 73, 153)(66, 146, 74, 154)(71, 151, 75, 155)(72, 152, 76, 156)(77, 157, 79, 159)(78, 158, 80, 160)(161, 241, 163, 243)(162, 242, 166, 246)(164, 244, 170, 250)(165, 245, 169, 249)(167, 247, 175, 255)(168, 248, 174, 254)(171, 251, 181, 261)(172, 252, 180, 260)(173, 253, 179, 259)(176, 256, 186, 266)(177, 257, 185, 265)(178, 258, 184, 264)(182, 262, 189, 269)(183, 263, 190, 270)(187, 267, 193, 273)(188, 268, 194, 274)(191, 271, 197, 277)(192, 272, 198, 278)(195, 275, 201, 281)(196, 276, 202, 282)(199, 279, 206, 286)(200, 280, 205, 285)(203, 283, 210, 290)(204, 284, 209, 289)(207, 287, 214, 294)(208, 288, 213, 293)(211, 291, 218, 298)(212, 292, 217, 297)(215, 295, 221, 301)(216, 296, 222, 302)(219, 299, 225, 305)(220, 300, 226, 306)(223, 303, 229, 309)(224, 304, 230, 310)(227, 307, 233, 313)(228, 308, 234, 314)(231, 311, 238, 318)(232, 312, 237, 317)(235, 315, 240, 320)(236, 316, 239, 319)
	L = (1, 164)(2, 167)(3, 169)(4, 172)(5, 161)(6, 174)(7, 177)(8, 162)(9, 180)(10, 163)(11, 182)(12, 165)(13, 183)(14, 185)(15, 166)(16, 187)(17, 168)(18, 188)(19, 189)(20, 170)(21, 190)(22, 173)(23, 171)(24, 193)(25, 175)(26, 194)(27, 178)(28, 176)(29, 181)(30, 179)(31, 199)(32, 200)(33, 186)(34, 184)(35, 203)(36, 204)(37, 205)(38, 206)(39, 192)(40, 191)(41, 209)(42, 210)(43, 196)(44, 195)(45, 198)(46, 197)(47, 215)(48, 216)(49, 202)(50, 201)(51, 219)(52, 220)(53, 221)(54, 222)(55, 208)(56, 207)(57, 225)(58, 226)(59, 212)(60, 211)(61, 214)(62, 213)(63, 231)(64, 232)(65, 218)(66, 217)(67, 235)(68, 236)(69, 237)(70, 238)(71, 224)(72, 223)(73, 239)(74, 240)(75, 228)(76, 227)(77, 230)(78, 229)(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) :: { ( 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.1651
Graph:: simple bipartite
	v = 80 e = 160 f = 44
	degree seq :: [ 4^80 ]

E19.1646 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 20})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2 * Y1 * Y2 * Y1 * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 7, 87)(4, 84, 9, 89)(5, 85, 10, 90)(6, 86, 12, 92)(8, 88, 15, 95)(11, 91, 20, 100)(13, 93, 23, 103)(14, 94, 25, 105)(16, 96, 28, 108)(17, 97, 30, 110)(18, 98, 31, 111)(19, 99, 33, 113)(21, 101, 36, 116)(22, 102, 38, 118)(24, 104, 34, 114)(26, 106, 32, 112)(27, 107, 37, 117)(29, 109, 35, 115)(39, 119, 49, 129)(40, 120, 50, 130)(41, 121, 51, 131)(42, 122, 52, 132)(43, 123, 48, 128)(44, 124, 53, 133)(45, 125, 54, 134)(46, 126, 55, 135)(47, 127, 56, 136)(57, 137, 65, 145)(58, 138, 66, 146)(59, 139, 67, 147)(60, 140, 68, 148)(61, 141, 69, 149)(62, 142, 70, 150)(63, 143, 71, 151)(64, 144, 72, 152)(73, 153, 77, 157)(74, 154, 79, 159)(75, 155, 78, 158)(76, 156, 80, 160)(161, 241, 163, 243)(162, 242, 165, 245)(164, 244, 168, 248)(166, 246, 171, 251)(167, 247, 173, 253)(169, 249, 176, 256)(170, 250, 178, 258)(172, 252, 181, 261)(174, 254, 184, 264)(175, 255, 186, 266)(177, 257, 189, 269)(179, 259, 192, 272)(180, 260, 194, 274)(182, 262, 197, 277)(183, 263, 199, 279)(185, 265, 201, 281)(187, 267, 203, 283)(188, 268, 200, 280)(190, 270, 202, 282)(191, 271, 204, 284)(193, 273, 206, 286)(195, 275, 208, 288)(196, 276, 205, 285)(198, 278, 207, 287)(209, 289, 217, 297)(210, 290, 219, 299)(211, 291, 218, 298)(212, 292, 220, 300)(213, 293, 221, 301)(214, 294, 223, 303)(215, 295, 222, 302)(216, 296, 224, 304)(225, 305, 233, 313)(226, 306, 235, 315)(227, 307, 234, 314)(228, 308, 236, 316)(229, 309, 237, 317)(230, 310, 239, 319)(231, 311, 238, 318)(232, 312, 240, 320)
	L = (1, 164)(2, 166)(3, 168)(4, 161)(5, 171)(6, 162)(7, 174)(8, 163)(9, 177)(10, 179)(11, 165)(12, 182)(13, 184)(14, 167)(15, 187)(16, 189)(17, 169)(18, 192)(19, 170)(20, 195)(21, 197)(22, 172)(23, 200)(24, 173)(25, 202)(26, 203)(27, 175)(28, 199)(29, 176)(30, 201)(31, 205)(32, 178)(33, 207)(34, 208)(35, 180)(36, 204)(37, 181)(38, 206)(39, 188)(40, 183)(41, 190)(42, 185)(43, 186)(44, 196)(45, 191)(46, 198)(47, 193)(48, 194)(49, 218)(50, 220)(51, 217)(52, 219)(53, 222)(54, 224)(55, 221)(56, 223)(57, 211)(58, 209)(59, 212)(60, 210)(61, 215)(62, 213)(63, 216)(64, 214)(65, 234)(66, 236)(67, 233)(68, 235)(69, 238)(70, 240)(71, 237)(72, 239)(73, 227)(74, 225)(75, 228)(76, 226)(77, 231)(78, 229)(79, 232)(80, 230)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.1649
Graph:: simple bipartite
	v = 80 e = 160 f = 44
	degree seq :: [ 4^80 ]

E19.1647 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 20})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 38>)
Aut   = (D8 x D10) : C2 (small group id <160, 224>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 9, 89)(4, 84, 12, 92)(5, 85, 14, 94)(6, 86, 15, 95)(7, 87, 18, 98)(8, 88, 20, 100)(10, 90, 21, 101)(11, 91, 22, 102)(13, 93, 19, 99)(16, 96, 25, 105)(17, 97, 26, 106)(23, 103, 31, 111)(24, 104, 32, 112)(27, 107, 35, 115)(28, 108, 36, 116)(29, 109, 37, 117)(30, 110, 38, 118)(33, 113, 41, 121)(34, 114, 42, 122)(39, 119, 47, 127)(40, 120, 48, 128)(43, 123, 51, 131)(44, 124, 52, 132)(45, 125, 53, 133)(46, 126, 54, 134)(49, 129, 57, 137)(50, 130, 58, 138)(55, 135, 63, 143)(56, 136, 64, 144)(59, 139, 67, 147)(60, 140, 68, 148)(61, 141, 69, 149)(62, 142, 70, 150)(65, 145, 73, 153)(66, 146, 74, 154)(71, 151, 75, 155)(72, 152, 76, 156)(77, 157, 80, 160)(78, 158, 79, 159)(161, 241, 163, 243)(162, 242, 166, 246)(164, 244, 171, 251)(165, 245, 170, 250)(167, 247, 177, 257)(168, 248, 176, 256)(169, 249, 179, 259)(172, 252, 181, 261)(173, 253, 175, 255)(174, 254, 182, 262)(178, 258, 185, 265)(180, 260, 186, 266)(183, 263, 190, 270)(184, 264, 189, 269)(187, 267, 194, 274)(188, 268, 193, 273)(191, 271, 197, 277)(192, 272, 198, 278)(195, 275, 201, 281)(196, 276, 202, 282)(199, 279, 206, 286)(200, 280, 205, 285)(203, 283, 210, 290)(204, 284, 209, 289)(207, 287, 213, 293)(208, 288, 214, 294)(211, 291, 217, 297)(212, 292, 218, 298)(215, 295, 222, 302)(216, 296, 221, 301)(219, 299, 226, 306)(220, 300, 225, 305)(223, 303, 229, 309)(224, 304, 230, 310)(227, 307, 233, 313)(228, 308, 234, 314)(231, 311, 238, 318)(232, 312, 237, 317)(235, 315, 240, 320)(236, 316, 239, 319)
	L = (1, 164)(2, 167)(3, 170)(4, 173)(5, 161)(6, 176)(7, 179)(8, 162)(9, 177)(10, 175)(11, 163)(12, 183)(13, 165)(14, 184)(15, 171)(16, 169)(17, 166)(18, 187)(19, 168)(20, 188)(21, 189)(22, 190)(23, 174)(24, 172)(25, 193)(26, 194)(27, 180)(28, 178)(29, 182)(30, 181)(31, 199)(32, 200)(33, 186)(34, 185)(35, 203)(36, 204)(37, 205)(38, 206)(39, 192)(40, 191)(41, 209)(42, 210)(43, 196)(44, 195)(45, 198)(46, 197)(47, 215)(48, 216)(49, 202)(50, 201)(51, 219)(52, 220)(53, 221)(54, 222)(55, 208)(56, 207)(57, 225)(58, 226)(59, 212)(60, 211)(61, 214)(62, 213)(63, 231)(64, 232)(65, 218)(66, 217)(67, 235)(68, 236)(69, 237)(70, 238)(71, 224)(72, 223)(73, 239)(74, 240)(75, 228)(76, 227)(77, 230)(78, 229)(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) :: { ( 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.1652
Graph:: simple bipartite
	v = 80 e = 160 f = 44
	degree seq :: [ 4^80 ]

E19.1648 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 20})
Quotient :: dipole
Aut^+ = C2 x D40 (small group id <80, 37>)
Aut   = C2 x C2 x D40 (small group id <160, 215>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, Y1^20 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 6, 86, 13, 93, 21, 101, 29, 109, 37, 117, 45, 125, 53, 133, 61, 141, 69, 149, 68, 148, 60, 140, 52, 132, 44, 124, 36, 116, 28, 108, 20, 100, 12, 92, 5, 85)(3, 83, 9, 89, 17, 97, 25, 105, 33, 113, 41, 121, 49, 129, 57, 137, 65, 145, 73, 153, 76, 156, 70, 150, 62, 142, 54, 134, 46, 126, 38, 118, 30, 110, 22, 102, 14, 94, 7, 87)(4, 84, 11, 91, 19, 99, 27, 107, 35, 115, 43, 123, 51, 131, 59, 139, 67, 147, 75, 155, 77, 157, 71, 151, 63, 143, 55, 135, 47, 127, 39, 119, 31, 111, 23, 103, 15, 95, 8, 88)(10, 90, 16, 96, 24, 104, 32, 112, 40, 120, 48, 128, 56, 136, 64, 144, 72, 152, 78, 158, 80, 160, 79, 159, 74, 154, 66, 146, 58, 138, 50, 130, 42, 122, 34, 114, 26, 106, 18, 98)(161, 241, 163, 243)(162, 242, 167, 247)(164, 244, 170, 250)(165, 245, 169, 249)(166, 246, 174, 254)(168, 248, 176, 256)(171, 251, 178, 258)(172, 252, 177, 257)(173, 253, 182, 262)(175, 255, 184, 264)(179, 259, 186, 266)(180, 260, 185, 265)(181, 261, 190, 270)(183, 263, 192, 272)(187, 267, 194, 274)(188, 268, 193, 273)(189, 269, 198, 278)(191, 271, 200, 280)(195, 275, 202, 282)(196, 276, 201, 281)(197, 277, 206, 286)(199, 279, 208, 288)(203, 283, 210, 290)(204, 284, 209, 289)(205, 285, 214, 294)(207, 287, 216, 296)(211, 291, 218, 298)(212, 292, 217, 297)(213, 293, 222, 302)(215, 295, 224, 304)(219, 299, 226, 306)(220, 300, 225, 305)(221, 301, 230, 310)(223, 303, 232, 312)(227, 307, 234, 314)(228, 308, 233, 313)(229, 309, 236, 316)(231, 311, 238, 318)(235, 315, 239, 319)(237, 317, 240, 320)
	L = (1, 164)(2, 168)(3, 170)(4, 161)(5, 171)(6, 175)(7, 176)(8, 162)(9, 178)(10, 163)(11, 165)(12, 179)(13, 183)(14, 184)(15, 166)(16, 167)(17, 186)(18, 169)(19, 172)(20, 187)(21, 191)(22, 192)(23, 173)(24, 174)(25, 194)(26, 177)(27, 180)(28, 195)(29, 199)(30, 200)(31, 181)(32, 182)(33, 202)(34, 185)(35, 188)(36, 203)(37, 207)(38, 208)(39, 189)(40, 190)(41, 210)(42, 193)(43, 196)(44, 211)(45, 215)(46, 216)(47, 197)(48, 198)(49, 218)(50, 201)(51, 204)(52, 219)(53, 223)(54, 224)(55, 205)(56, 206)(57, 226)(58, 209)(59, 212)(60, 227)(61, 231)(62, 232)(63, 213)(64, 214)(65, 234)(66, 217)(67, 220)(68, 235)(69, 237)(70, 238)(71, 221)(72, 222)(73, 239)(74, 225)(75, 228)(76, 240)(77, 229)(78, 230)(79, 233)(80, 236)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E19.1643
Graph:: simple bipartite
	v = 44 e = 160 f = 80
	degree seq :: [ 4^40, 40^4 ]

E19.1649 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 20})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y2 * Y1^2 * Y2 * Y1^-2, (Y2 * Y1^-1 * Y2 * Y1)^2, Y1^-3 * Y2 * Y1^-7 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 6, 86, 15, 95, 30, 110, 48, 128, 65, 145, 59, 139, 42, 122, 24, 104, 38, 118, 21, 101, 35, 115, 53, 133, 70, 150, 64, 144, 47, 127, 29, 109, 14, 94, 5, 85)(3, 83, 9, 89, 16, 96, 33, 113, 49, 129, 68, 148, 63, 143, 46, 126, 28, 108, 13, 93, 20, 100, 7, 87, 18, 98, 31, 111, 51, 131, 66, 146, 60, 140, 43, 123, 25, 105, 11, 91)(4, 84, 12, 92, 26, 106, 44, 124, 61, 141, 75, 155, 80, 160, 72, 152, 55, 135, 39, 119, 56, 136, 41, 121, 58, 138, 74, 154, 77, 157, 67, 147, 50, 130, 32, 112, 17, 97, 8, 88)(10, 90, 23, 103, 40, 120, 57, 137, 73, 153, 78, 158, 71, 151, 52, 132, 36, 116, 19, 99, 37, 117, 27, 107, 45, 125, 62, 142, 76, 156, 79, 159, 69, 149, 54, 134, 34, 114, 22, 102)(161, 241, 163, 243)(162, 242, 167, 247)(164, 244, 170, 250)(165, 245, 173, 253)(166, 246, 176, 256)(168, 248, 179, 259)(169, 249, 181, 261)(171, 251, 184, 264)(172, 252, 187, 267)(174, 254, 185, 265)(175, 255, 191, 271)(177, 257, 194, 274)(178, 258, 195, 275)(180, 260, 198, 278)(182, 262, 199, 279)(183, 263, 201, 281)(186, 266, 200, 280)(188, 268, 202, 282)(189, 269, 206, 286)(190, 270, 209, 289)(192, 272, 212, 292)(193, 273, 213, 293)(196, 276, 215, 295)(197, 277, 216, 296)(203, 283, 219, 299)(204, 284, 222, 302)(205, 285, 218, 298)(207, 287, 220, 300)(208, 288, 226, 306)(210, 290, 229, 309)(211, 291, 230, 310)(214, 294, 232, 312)(217, 297, 234, 314)(221, 301, 233, 313)(223, 303, 225, 305)(224, 304, 228, 308)(227, 307, 238, 318)(231, 311, 240, 320)(235, 315, 239, 319)(236, 316, 237, 317)
	L = (1, 164)(2, 168)(3, 170)(4, 161)(5, 172)(6, 177)(7, 179)(8, 162)(9, 182)(10, 163)(11, 183)(12, 165)(13, 187)(14, 186)(15, 192)(16, 194)(17, 166)(18, 196)(19, 167)(20, 197)(21, 199)(22, 169)(23, 171)(24, 201)(25, 200)(26, 174)(27, 173)(28, 205)(29, 204)(30, 210)(31, 212)(32, 175)(33, 214)(34, 176)(35, 215)(36, 178)(37, 180)(38, 216)(39, 181)(40, 185)(41, 184)(42, 218)(43, 217)(44, 189)(45, 188)(46, 222)(47, 221)(48, 227)(49, 229)(50, 190)(51, 231)(52, 191)(53, 232)(54, 193)(55, 195)(56, 198)(57, 203)(58, 202)(59, 234)(60, 233)(61, 207)(62, 206)(63, 236)(64, 235)(65, 237)(66, 238)(67, 208)(68, 239)(69, 209)(70, 240)(71, 211)(72, 213)(73, 220)(74, 219)(75, 224)(76, 223)(77, 225)(78, 226)(79, 228)(80, 230)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E19.1646
Graph:: simple bipartite
	v = 44 e = 160 f = 80
	degree seq :: [ 4^40, 40^4 ]

E19.1650 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 20})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^4, Y1^-3 * Y2 * Y1 * Y2 * Y1^-6 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 6, 86, 15, 95, 30, 110, 48, 128, 65, 145, 58, 138, 42, 122, 22, 102, 35, 115, 25, 105, 38, 118, 54, 134, 71, 151, 64, 144, 47, 127, 29, 109, 14, 94, 5, 85)(3, 83, 9, 89, 21, 101, 39, 119, 57, 137, 66, 146, 52, 132, 31, 111, 20, 100, 7, 87, 18, 98, 13, 93, 28, 108, 46, 126, 63, 143, 69, 149, 49, 129, 34, 114, 16, 96, 11, 91)(4, 84, 12, 92, 26, 106, 44, 124, 61, 141, 75, 155, 80, 160, 72, 152, 56, 136, 43, 123, 55, 135, 41, 121, 60, 140, 74, 154, 77, 157, 67, 147, 50, 130, 32, 112, 17, 97, 8, 88)(10, 90, 24, 104, 33, 113, 53, 133, 68, 148, 79, 159, 76, 156, 62, 142, 45, 125, 27, 107, 36, 116, 19, 99, 37, 117, 51, 131, 70, 150, 78, 158, 73, 153, 59, 139, 40, 120, 23, 103)(161, 241, 163, 243)(162, 242, 167, 247)(164, 244, 170, 250)(165, 245, 173, 253)(166, 246, 176, 256)(168, 248, 179, 259)(169, 249, 182, 262)(171, 251, 185, 265)(172, 252, 187, 267)(174, 254, 181, 261)(175, 255, 191, 271)(177, 257, 193, 273)(178, 258, 195, 275)(180, 260, 198, 278)(183, 263, 201, 281)(184, 264, 203, 283)(186, 266, 200, 280)(188, 268, 202, 282)(189, 269, 206, 286)(190, 270, 209, 289)(192, 272, 211, 291)(194, 274, 214, 294)(196, 276, 215, 295)(197, 277, 216, 296)(199, 279, 218, 298)(204, 284, 222, 302)(205, 285, 220, 300)(207, 287, 217, 297)(208, 288, 226, 306)(210, 290, 228, 308)(212, 292, 231, 311)(213, 293, 232, 312)(219, 299, 234, 314)(221, 301, 233, 313)(223, 303, 225, 305)(224, 304, 229, 309)(227, 307, 238, 318)(230, 310, 240, 320)(235, 315, 239, 319)(236, 316, 237, 317)
	L = (1, 164)(2, 168)(3, 170)(4, 161)(5, 172)(6, 177)(7, 179)(8, 162)(9, 183)(10, 163)(11, 184)(12, 165)(13, 187)(14, 186)(15, 192)(16, 193)(17, 166)(18, 196)(19, 167)(20, 197)(21, 200)(22, 201)(23, 169)(24, 171)(25, 203)(26, 174)(27, 173)(28, 205)(29, 204)(30, 210)(31, 211)(32, 175)(33, 176)(34, 213)(35, 215)(36, 178)(37, 180)(38, 216)(39, 219)(40, 181)(41, 182)(42, 220)(43, 185)(44, 189)(45, 188)(46, 222)(47, 221)(48, 227)(49, 228)(50, 190)(51, 191)(52, 230)(53, 194)(54, 232)(55, 195)(56, 198)(57, 233)(58, 234)(59, 199)(60, 202)(61, 207)(62, 206)(63, 236)(64, 235)(65, 237)(66, 238)(67, 208)(68, 209)(69, 239)(70, 212)(71, 240)(72, 214)(73, 217)(74, 218)(75, 224)(76, 223)(77, 225)(78, 226)(79, 229)(80, 231)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E19.1644
Graph:: simple bipartite
	v = 44 e = 160 f = 80
	degree seq :: [ 4^40, 40^4 ]

E19.1651 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 20})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y1^-1 * Y2)^2, (Y3^-1 * Y1^-1)^2, Y3^4, Y1^-1 * Y3^-2 * Y1 * Y3^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^3 * Y3 * Y1^-6 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 7, 87, 18, 98, 33, 113, 49, 129, 65, 145, 62, 142, 46, 126, 30, 110, 15, 95, 24, 104, 39, 119, 55, 135, 71, 151, 64, 144, 48, 128, 32, 112, 17, 97, 5, 85)(3, 83, 11, 91, 25, 105, 41, 121, 57, 137, 73, 153, 80, 160, 72, 152, 56, 136, 40, 120, 28, 108, 44, 124, 60, 140, 76, 156, 77, 157, 66, 146, 50, 130, 34, 114, 19, 99, 8, 88)(4, 84, 14, 94, 29, 109, 45, 125, 61, 141, 67, 147, 52, 132, 35, 115, 21, 101, 9, 89, 6, 86, 16, 96, 31, 111, 47, 127, 63, 143, 68, 148, 51, 131, 36, 116, 20, 100, 10, 90)(12, 92, 23, 103, 37, 117, 54, 134, 69, 149, 79, 159, 75, 155, 58, 138, 43, 123, 26, 106, 13, 93, 22, 102, 38, 118, 53, 133, 70, 150, 78, 158, 74, 154, 59, 139, 42, 122, 27, 107)(161, 241, 163, 243)(162, 242, 168, 248)(164, 244, 173, 253)(165, 245, 171, 251)(166, 246, 172, 252)(167, 247, 179, 259)(169, 249, 183, 263)(170, 250, 182, 262)(174, 254, 186, 266)(175, 255, 188, 268)(176, 256, 187, 267)(177, 257, 185, 265)(178, 258, 194, 274)(180, 260, 198, 278)(181, 261, 197, 277)(184, 264, 200, 280)(189, 269, 203, 283)(190, 270, 204, 284)(191, 271, 202, 282)(192, 272, 201, 281)(193, 273, 210, 290)(195, 275, 214, 294)(196, 276, 213, 293)(199, 279, 216, 296)(205, 285, 218, 298)(206, 286, 220, 300)(207, 287, 219, 299)(208, 288, 217, 297)(209, 289, 226, 306)(211, 291, 230, 310)(212, 292, 229, 309)(215, 295, 232, 312)(221, 301, 235, 315)(222, 302, 236, 316)(223, 303, 234, 314)(224, 304, 233, 313)(225, 305, 237, 317)(227, 307, 239, 319)(228, 308, 238, 318)(231, 311, 240, 320)
	L = (1, 164)(2, 169)(3, 172)(4, 175)(5, 176)(6, 161)(7, 180)(8, 182)(9, 184)(10, 162)(11, 186)(12, 188)(13, 163)(14, 165)(15, 166)(16, 190)(17, 189)(18, 195)(19, 197)(20, 199)(21, 167)(22, 200)(23, 168)(24, 170)(25, 202)(26, 204)(27, 171)(28, 173)(29, 206)(30, 174)(31, 177)(32, 207)(33, 211)(34, 213)(35, 215)(36, 178)(37, 216)(38, 179)(39, 181)(40, 183)(41, 218)(42, 220)(43, 185)(44, 187)(45, 192)(46, 191)(47, 222)(48, 221)(49, 227)(50, 229)(51, 231)(52, 193)(53, 232)(54, 194)(55, 196)(56, 198)(57, 234)(58, 236)(59, 201)(60, 203)(61, 225)(62, 205)(63, 208)(64, 228)(65, 223)(66, 238)(67, 224)(68, 209)(69, 240)(70, 210)(71, 212)(72, 214)(73, 239)(74, 237)(75, 217)(76, 219)(77, 235)(78, 233)(79, 226)(80, 230)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E19.1645
Graph:: simple bipartite
	v = 44 e = 160 f = 80
	degree seq :: [ 4^40, 40^4 ]

E19.1652 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 20})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 38>)
Aut   = (D8 x D10) : C2 (small group id <160, 224>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y3^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y1^2 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1, Y1^3 * Y3^-1 * Y2 * Y1^-3 * Y2 * Y3, Y1^-2 * Y2 * Y1^3 * Y2 * Y1^-5 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 7, 87, 20, 100, 37, 117, 53, 133, 69, 149, 62, 142, 48, 128, 30, 110, 16, 96, 28, 108, 44, 124, 60, 140, 76, 156, 68, 148, 52, 132, 36, 116, 19, 99, 5, 85)(3, 83, 11, 91, 29, 109, 45, 125, 61, 141, 70, 150, 58, 138, 38, 118, 26, 106, 8, 88, 24, 104, 17, 97, 34, 114, 50, 130, 66, 146, 74, 154, 54, 134, 42, 122, 21, 101, 13, 93)(4, 84, 15, 95, 33, 113, 49, 129, 65, 145, 71, 151, 56, 136, 39, 119, 23, 103, 9, 89, 6, 86, 18, 98, 35, 115, 51, 131, 67, 147, 72, 152, 55, 135, 40, 120, 22, 102, 10, 90)(12, 92, 25, 105, 41, 121, 57, 137, 73, 153, 79, 159, 78, 158, 63, 143, 47, 127, 31, 111, 14, 94, 27, 107, 43, 123, 59, 139, 75, 155, 80, 160, 77, 157, 64, 144, 46, 126, 32, 112)(161, 241, 163, 243)(162, 242, 168, 248)(164, 244, 174, 254)(165, 245, 177, 257)(166, 246, 172, 252)(167, 247, 181, 261)(169, 249, 187, 267)(170, 250, 185, 265)(171, 251, 190, 270)(173, 253, 188, 268)(175, 255, 192, 272)(176, 256, 184, 264)(178, 258, 191, 271)(179, 259, 189, 269)(180, 260, 198, 278)(182, 262, 203, 283)(183, 263, 201, 281)(186, 266, 204, 284)(193, 273, 207, 287)(194, 274, 208, 288)(195, 275, 206, 286)(196, 276, 210, 290)(197, 277, 214, 294)(199, 279, 219, 299)(200, 280, 217, 297)(202, 282, 220, 300)(205, 285, 222, 302)(209, 289, 224, 304)(211, 291, 223, 303)(212, 292, 221, 301)(213, 293, 230, 310)(215, 295, 235, 315)(216, 296, 233, 313)(218, 298, 236, 316)(225, 305, 238, 318)(226, 306, 229, 309)(227, 307, 237, 317)(228, 308, 234, 314)(231, 311, 240, 320)(232, 312, 239, 319)
	L = (1, 164)(2, 169)(3, 172)(4, 176)(5, 178)(6, 161)(7, 182)(8, 185)(9, 188)(10, 162)(11, 191)(12, 184)(13, 187)(14, 163)(15, 165)(16, 166)(17, 192)(18, 190)(19, 193)(20, 199)(21, 201)(22, 204)(23, 167)(24, 174)(25, 173)(26, 203)(27, 168)(28, 170)(29, 206)(30, 175)(31, 177)(32, 171)(33, 208)(34, 207)(35, 179)(36, 211)(37, 215)(38, 217)(39, 220)(40, 180)(41, 186)(42, 219)(43, 181)(44, 183)(45, 223)(46, 194)(47, 189)(48, 195)(49, 196)(50, 224)(51, 222)(52, 225)(53, 231)(54, 233)(55, 236)(56, 197)(57, 202)(58, 235)(59, 198)(60, 200)(61, 237)(62, 209)(63, 210)(64, 205)(65, 229)(66, 238)(67, 212)(68, 232)(69, 227)(70, 239)(71, 228)(72, 213)(73, 218)(74, 240)(75, 214)(76, 216)(77, 226)(78, 221)(79, 234)(80, 230)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E19.1647
Graph:: simple bipartite
	v = 44 e = 160 f = 80
	degree seq :: [ 4^40, 40^4 ]

E19.1653 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 20})
Quotient :: edge
Aut^+ = C4 x (C5 : C4) (small group id <80, 11>)
Aut   = (C10 x D8) : C2 (small group id <160, 161>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^-1 * T1^2 * T2 * T1, T2^2 * T1^-1 * T2^2 * T1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-4 * T1^-1 * T2 * T1 * T2^-5 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 46, 62, 73, 57, 41, 21, 40, 23, 43, 59, 75, 68, 52, 34, 16, 5)(2, 7, 20, 39, 56, 72, 61, 45, 26, 9, 25, 14, 32, 50, 66, 76, 60, 44, 24, 8)(4, 12, 31, 49, 65, 77, 64, 47, 30, 11, 29, 15, 33, 51, 67, 78, 63, 48, 28, 13)(6, 17, 35, 53, 69, 79, 71, 55, 38, 19, 37, 22, 42, 58, 74, 80, 70, 54, 36, 18)(81, 82, 86, 84)(83, 89, 97, 91)(85, 94, 98, 95)(87, 99, 92, 101)(88, 102, 93, 103)(90, 104, 115, 108)(96, 100, 116, 111)(105, 117, 109, 120)(106, 122, 110, 123)(107, 125, 133, 127)(112, 118, 113, 121)(114, 130, 134, 131)(119, 135, 129, 137)(124, 138, 128, 139)(126, 140, 149, 143)(132, 136, 150, 145)(141, 154, 144, 155)(142, 152, 159, 157)(146, 151, 147, 153)(148, 156, 160, 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) :: { ( 8^4 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E19.1654
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 80 f = 20
	degree seq :: [ 4^20, 20^4 ]

E19.1654 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 20})
Quotient :: loop
Aut^+ = C4 x (C5 : C4) (small group id <80, 11>)
Aut   = (C10 x D8) : C2 (small group id <160, 161>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, T2 * T1^-2 * T2^-1 * T1^-2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^20 ]
Map:: polytopal non-degenerate
	R = (1, 81, 3, 83, 10, 90, 5, 85)(2, 82, 7, 87, 19, 99, 8, 88)(4, 84, 12, 92, 25, 105, 13, 93)(6, 86, 16, 96, 28, 108, 17, 97)(9, 89, 23, 103, 14, 94, 24, 104)(11, 91, 26, 106, 15, 95, 27, 107)(18, 98, 29, 109, 21, 101, 30, 110)(20, 100, 31, 111, 22, 102, 32, 112)(33, 113, 41, 121, 35, 115, 42, 122)(34, 114, 43, 123, 36, 116, 44, 124)(37, 117, 45, 125, 39, 119, 46, 126)(38, 118, 47, 127, 40, 120, 48, 128)(49, 129, 57, 137, 51, 131, 58, 138)(50, 130, 59, 139, 52, 132, 60, 140)(53, 133, 61, 141, 55, 135, 62, 142)(54, 134, 63, 143, 56, 136, 64, 144)(65, 145, 73, 153, 67, 147, 74, 154)(66, 146, 75, 155, 68, 148, 76, 156)(69, 149, 77, 157, 71, 151, 78, 158)(70, 150, 79, 159, 72, 152, 80, 160)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 94)(6, 84)(7, 98)(8, 101)(9, 96)(10, 99)(11, 83)(12, 100)(13, 102)(14, 97)(15, 85)(16, 91)(17, 95)(18, 92)(19, 108)(20, 87)(21, 93)(22, 88)(23, 113)(24, 115)(25, 90)(26, 114)(27, 116)(28, 105)(29, 117)(30, 119)(31, 118)(32, 120)(33, 106)(34, 103)(35, 107)(36, 104)(37, 111)(38, 109)(39, 112)(40, 110)(41, 129)(42, 131)(43, 130)(44, 132)(45, 133)(46, 135)(47, 134)(48, 136)(49, 123)(50, 121)(51, 124)(52, 122)(53, 127)(54, 125)(55, 128)(56, 126)(57, 145)(58, 147)(59, 146)(60, 148)(61, 149)(62, 151)(63, 150)(64, 152)(65, 139)(66, 137)(67, 140)(68, 138)(69, 143)(70, 141)(71, 144)(72, 142)(73, 157)(74, 158)(75, 159)(76, 160)(77, 155)(78, 156)(79, 153)(80, 154)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.1653
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 24
	degree seq :: [ 8^20 ]

E19.1655 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 20})
Quotient :: dipole
Aut^+ = C4 x (C5 : C4) (small group id <80, 11>)
Aut   = (C10 x D8) : C2 (small group id <160, 161>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, Y1^4, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2^-2 * Y1^-1 * Y2^-2 * Y1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y2^5 * Y1 * Y2^-5 * Y1^-1 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 9, 89, 17, 97, 11, 91)(5, 85, 14, 94, 18, 98, 15, 95)(7, 87, 19, 99, 12, 92, 21, 101)(8, 88, 22, 102, 13, 93, 23, 103)(10, 90, 24, 104, 35, 115, 28, 108)(16, 96, 20, 100, 36, 116, 31, 111)(25, 105, 37, 117, 29, 109, 40, 120)(26, 106, 42, 122, 30, 110, 43, 123)(27, 107, 45, 125, 53, 133, 47, 127)(32, 112, 38, 118, 33, 113, 41, 121)(34, 114, 50, 130, 54, 134, 51, 131)(39, 119, 55, 135, 49, 129, 57, 137)(44, 124, 58, 138, 48, 128, 59, 139)(46, 126, 60, 140, 69, 149, 63, 143)(52, 132, 56, 136, 70, 150, 65, 145)(61, 141, 74, 154, 64, 144, 75, 155)(62, 142, 72, 152, 79, 159, 77, 157)(66, 146, 71, 151, 67, 147, 73, 153)(68, 148, 76, 156, 80, 160, 78, 158)(161, 241, 163, 243, 170, 250, 187, 267, 206, 286, 222, 302, 233, 313, 217, 297, 201, 281, 181, 261, 200, 280, 183, 263, 203, 283, 219, 299, 235, 315, 228, 308, 212, 292, 194, 274, 176, 256, 165, 245)(162, 242, 167, 247, 180, 260, 199, 279, 216, 296, 232, 312, 221, 301, 205, 285, 186, 266, 169, 249, 185, 265, 174, 254, 192, 272, 210, 290, 226, 306, 236, 316, 220, 300, 204, 284, 184, 264, 168, 248)(164, 244, 172, 252, 191, 271, 209, 289, 225, 305, 237, 317, 224, 304, 207, 287, 190, 270, 171, 251, 189, 269, 175, 255, 193, 273, 211, 291, 227, 307, 238, 318, 223, 303, 208, 288, 188, 268, 173, 253)(166, 246, 177, 257, 195, 275, 213, 293, 229, 309, 239, 319, 231, 311, 215, 295, 198, 278, 179, 259, 197, 277, 182, 262, 202, 282, 218, 298, 234, 314, 240, 320, 230, 310, 214, 294, 196, 276, 178, 258)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 177)(7, 180)(8, 162)(9, 185)(10, 187)(11, 189)(12, 191)(13, 164)(14, 192)(15, 193)(16, 165)(17, 195)(18, 166)(19, 197)(20, 199)(21, 200)(22, 202)(23, 203)(24, 168)(25, 174)(26, 169)(27, 206)(28, 173)(29, 175)(30, 171)(31, 209)(32, 210)(33, 211)(34, 176)(35, 213)(36, 178)(37, 182)(38, 179)(39, 216)(40, 183)(41, 181)(42, 218)(43, 219)(44, 184)(45, 186)(46, 222)(47, 190)(48, 188)(49, 225)(50, 226)(51, 227)(52, 194)(53, 229)(54, 196)(55, 198)(56, 232)(57, 201)(58, 234)(59, 235)(60, 204)(61, 205)(62, 233)(63, 208)(64, 207)(65, 237)(66, 236)(67, 238)(68, 212)(69, 239)(70, 214)(71, 215)(72, 221)(73, 217)(74, 240)(75, 228)(76, 220)(77, 224)(78, 223)(79, 231)(80, 230)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1656
Graph:: bipartite
	v = 24 e = 160 f = 100
	degree seq :: [ 8^20, 40^4 ]

E19.1656 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 20})
Quotient :: dipole
Aut^+ = C4 x (C5 : C4) (small group id <80, 11>)
Aut   = (C10 x D8) : C2 (small group id <160, 161>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3^-1 * Y2^-2 * Y3 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^2 * Y2^-1, (Y3^-1 * Y2^-1)^4, (Y3 * Y2 * Y3 * Y2^-1)^2, Y3^-4 * Y2^-1 * Y3 * Y2 * Y3^-5, (Y3^-1 * Y1^-1)^20 ]
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, 166, 246, 164, 244)(163, 243, 169, 249, 177, 257, 171, 251)(165, 245, 174, 254, 178, 258, 175, 255)(167, 247, 179, 259, 172, 252, 181, 261)(168, 248, 182, 262, 173, 253, 183, 263)(170, 250, 184, 264, 195, 275, 188, 268)(176, 256, 180, 260, 196, 276, 191, 271)(185, 265, 197, 277, 189, 269, 200, 280)(186, 266, 202, 282, 190, 270, 203, 283)(187, 267, 205, 285, 213, 293, 207, 287)(192, 272, 198, 278, 193, 273, 201, 281)(194, 274, 210, 290, 214, 294, 211, 291)(199, 279, 215, 295, 209, 289, 217, 297)(204, 284, 218, 298, 208, 288, 219, 299)(206, 286, 220, 300, 229, 309, 223, 303)(212, 292, 216, 296, 230, 310, 225, 305)(221, 301, 234, 314, 224, 304, 235, 315)(222, 302, 232, 312, 239, 319, 237, 317)(226, 306, 231, 311, 227, 307, 233, 313)(228, 308, 236, 316, 240, 320, 238, 318)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 177)(7, 180)(8, 162)(9, 185)(10, 187)(11, 189)(12, 191)(13, 164)(14, 192)(15, 193)(16, 165)(17, 195)(18, 166)(19, 197)(20, 199)(21, 200)(22, 202)(23, 203)(24, 168)(25, 174)(26, 169)(27, 206)(28, 173)(29, 175)(30, 171)(31, 209)(32, 210)(33, 211)(34, 176)(35, 213)(36, 178)(37, 182)(38, 179)(39, 216)(40, 183)(41, 181)(42, 218)(43, 219)(44, 184)(45, 186)(46, 222)(47, 190)(48, 188)(49, 225)(50, 226)(51, 227)(52, 194)(53, 229)(54, 196)(55, 198)(56, 232)(57, 201)(58, 234)(59, 235)(60, 204)(61, 205)(62, 233)(63, 208)(64, 207)(65, 237)(66, 236)(67, 238)(68, 212)(69, 239)(70, 214)(71, 215)(72, 221)(73, 217)(74, 240)(75, 228)(76, 220)(77, 224)(78, 223)(79, 231)(80, 230)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.1655
Graph:: simple bipartite
	v = 100 e = 160 f = 24
	degree seq :: [ 2^80, 8^20 ]

E19.1657 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 20})
Quotient :: edge
Aut^+ = (C5 : C4) : C4 (small group id <80, 12>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2^4, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, T2 * T1^-2 * T2^-1 * T1^-2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^20 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 25, 13)(6, 16, 28, 17)(9, 23, 14, 24)(11, 26, 15, 27)(18, 29, 21, 30)(20, 31, 22, 32)(33, 41, 35, 42)(34, 43, 36, 44)(37, 45, 39, 46)(38, 47, 40, 48)(49, 57, 51, 58)(50, 59, 52, 60)(53, 61, 55, 62)(54, 63, 56, 64)(65, 73, 67, 74)(66, 75, 68, 76)(69, 77, 71, 78)(70, 79, 72, 80)(81, 82, 86, 84)(83, 89, 96, 91)(85, 94, 97, 95)(87, 98, 92, 100)(88, 101, 93, 102)(90, 99, 108, 105)(103, 113, 106, 114)(104, 115, 107, 116)(109, 117, 111, 118)(110, 119, 112, 120)(121, 129, 123, 130)(122, 131, 124, 132)(125, 133, 127, 134)(126, 135, 128, 136)(137, 145, 139, 146)(138, 147, 140, 148)(141, 149, 143, 150)(142, 151, 144, 152)(153, 159, 155, 157)(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) :: { ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1662
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 80 f = 4
	degree seq :: [ 4^40 ]

E19.1658 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 20})
Quotient :: edge
Aut^+ = (C5 : C4) : C4 (small group id <80, 12>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^-2 * T1^-1 * T2^-2 * T1, (T2 * T1^-1)^4, (T2^-1 * T1 * T2^-1 * T1^-1)^2, T2^-2 * T1^-1 * T2^7 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 46, 62, 71, 55, 38, 19, 37, 22, 42, 58, 74, 68, 52, 34, 16, 5)(2, 7, 20, 39, 56, 72, 64, 47, 30, 11, 29, 15, 33, 51, 67, 76, 60, 44, 24, 8)(4, 12, 31, 49, 65, 77, 61, 45, 26, 9, 25, 14, 32, 50, 66, 78, 63, 48, 28, 13)(6, 17, 35, 53, 69, 79, 73, 57, 41, 21, 40, 23, 43, 59, 75, 80, 70, 54, 36, 18)(81, 82, 86, 84)(83, 89, 97, 91)(85, 94, 98, 95)(87, 99, 92, 101)(88, 102, 93, 103)(90, 104, 115, 108)(96, 100, 116, 111)(105, 117, 109, 120)(106, 122, 110, 123)(107, 125, 133, 127)(112, 118, 113, 121)(114, 130, 134, 131)(119, 135, 129, 137)(124, 138, 128, 139)(126, 140, 149, 143)(132, 136, 150, 145)(141, 154, 144, 155)(142, 157, 159, 152)(146, 151, 147, 153)(148, 158, 160, 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) :: { ( 8^4 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E19.1660
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 80 f = 20
	degree seq :: [ 4^20, 20^4 ]

E19.1659 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 20})
Quotient :: edge
Aut^+ = (C5 : C4) : C4 (small group id <80, 12>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, (T2 * T1^-1)^4, (T2^-1 * T1 * T2^-1 * T1^-1)^2, T2^2 * T1^-1 * T2^-8 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 46, 62, 70, 54, 36, 18, 6, 17, 35, 53, 69, 68, 52, 34, 16, 5)(2, 7, 20, 39, 56, 72, 63, 48, 28, 13, 4, 12, 31, 49, 65, 76, 60, 44, 24, 8)(9, 25, 14, 32, 50, 66, 78, 64, 47, 30, 11, 29, 15, 33, 51, 67, 77, 61, 45, 26)(19, 37, 22, 42, 58, 74, 80, 73, 57, 41, 21, 40, 23, 43, 59, 75, 79, 71, 55, 38)(81, 82, 86, 84)(83, 89, 97, 91)(85, 94, 98, 95)(87, 99, 92, 101)(88, 102, 93, 103)(90, 104, 115, 108)(96, 100, 116, 111)(105, 117, 109, 120)(106, 122, 110, 123)(107, 125, 133, 127)(112, 118, 113, 121)(114, 130, 134, 131)(119, 135, 129, 137)(124, 138, 128, 139)(126, 140, 149, 143)(132, 136, 150, 145)(141, 154, 144, 155)(142, 157, 148, 158)(146, 151, 147, 153)(152, 159, 156, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E19.1661
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 80 f = 20
	degree seq :: [ 4^20, 20^4 ]

E19.1660 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 20})
Quotient :: loop
Aut^+ = (C5 : C4) : C4 (small group id <80, 12>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2^4, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, T2 * T1^-2 * T2^-1 * T1^-2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^20 ]
Map:: non-degenerate
	R = (1, 81, 3, 83, 10, 90, 5, 85)(2, 82, 7, 87, 19, 99, 8, 88)(4, 84, 12, 92, 25, 105, 13, 93)(6, 86, 16, 96, 28, 108, 17, 97)(9, 89, 23, 103, 14, 94, 24, 104)(11, 91, 26, 106, 15, 95, 27, 107)(18, 98, 29, 109, 21, 101, 30, 110)(20, 100, 31, 111, 22, 102, 32, 112)(33, 113, 41, 121, 35, 115, 42, 122)(34, 114, 43, 123, 36, 116, 44, 124)(37, 117, 45, 125, 39, 119, 46, 126)(38, 118, 47, 127, 40, 120, 48, 128)(49, 129, 57, 137, 51, 131, 58, 138)(50, 130, 59, 139, 52, 132, 60, 140)(53, 133, 61, 141, 55, 135, 62, 142)(54, 134, 63, 143, 56, 136, 64, 144)(65, 145, 73, 153, 67, 147, 74, 154)(66, 146, 75, 155, 68, 148, 76, 156)(69, 149, 77, 157, 71, 151, 78, 158)(70, 150, 79, 159, 72, 152, 80, 160)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 94)(6, 84)(7, 98)(8, 101)(9, 96)(10, 99)(11, 83)(12, 100)(13, 102)(14, 97)(15, 85)(16, 91)(17, 95)(18, 92)(19, 108)(20, 87)(21, 93)(22, 88)(23, 113)(24, 115)(25, 90)(26, 114)(27, 116)(28, 105)(29, 117)(30, 119)(31, 118)(32, 120)(33, 106)(34, 103)(35, 107)(36, 104)(37, 111)(38, 109)(39, 112)(40, 110)(41, 129)(42, 131)(43, 130)(44, 132)(45, 133)(46, 135)(47, 134)(48, 136)(49, 123)(50, 121)(51, 124)(52, 122)(53, 127)(54, 125)(55, 128)(56, 126)(57, 145)(58, 147)(59, 146)(60, 148)(61, 149)(62, 151)(63, 150)(64, 152)(65, 139)(66, 137)(67, 140)(68, 138)(69, 143)(70, 141)(71, 144)(72, 142)(73, 159)(74, 160)(75, 157)(76, 158)(77, 153)(78, 154)(79, 155)(80, 156)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.1658
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 24
	degree seq :: [ 8^20 ]

E19.1661 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 20})
Quotient :: loop
Aut^+ = (C5 : C4) : C4 (small group id <80, 12>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T1^-1 * T2 * T1^-2 * T2^-1 * T1^-1, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 3, 83, 10, 90, 5, 85)(2, 82, 7, 87, 19, 99, 8, 88)(4, 84, 12, 92, 25, 105, 13, 93)(6, 86, 16, 96, 28, 108, 17, 97)(9, 89, 23, 103, 14, 94, 24, 104)(11, 91, 26, 106, 15, 95, 27, 107)(18, 98, 29, 109, 21, 101, 30, 110)(20, 100, 31, 111, 22, 102, 32, 112)(33, 113, 41, 121, 35, 115, 42, 122)(34, 114, 43, 123, 36, 116, 44, 124)(37, 117, 45, 125, 39, 119, 46, 126)(38, 118, 47, 127, 40, 120, 48, 128)(49, 129, 57, 137, 51, 131, 58, 138)(50, 130, 59, 139, 52, 132, 60, 140)(53, 133, 61, 141, 55, 135, 62, 142)(54, 134, 63, 143, 56, 136, 64, 144)(65, 145, 73, 153, 67, 147, 74, 154)(66, 146, 75, 155, 68, 148, 76, 156)(69, 149, 77, 157, 71, 151, 78, 158)(70, 150, 79, 159, 72, 152, 80, 160)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 94)(6, 84)(7, 98)(8, 101)(9, 96)(10, 99)(11, 83)(12, 100)(13, 102)(14, 97)(15, 85)(16, 91)(17, 95)(18, 92)(19, 108)(20, 87)(21, 93)(22, 88)(23, 113)(24, 115)(25, 90)(26, 114)(27, 116)(28, 105)(29, 117)(30, 119)(31, 118)(32, 120)(33, 106)(34, 103)(35, 107)(36, 104)(37, 111)(38, 109)(39, 112)(40, 110)(41, 129)(42, 131)(43, 130)(44, 132)(45, 133)(46, 135)(47, 134)(48, 136)(49, 123)(50, 121)(51, 124)(52, 122)(53, 127)(54, 125)(55, 128)(56, 126)(57, 145)(58, 147)(59, 146)(60, 148)(61, 149)(62, 151)(63, 150)(64, 152)(65, 139)(66, 137)(67, 140)(68, 138)(69, 143)(70, 141)(71, 144)(72, 142)(73, 158)(74, 157)(75, 160)(76, 159)(77, 156)(78, 155)(79, 154)(80, 153)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.1659
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 24
	degree seq :: [ 8^20 ]

E19.1662 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 20})
Quotient :: loop
Aut^+ = (C5 : C4) : C4 (small group id <80, 12>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^-2 * T1^-1 * T2^-2 * T1, (T2 * T1^-1)^4, (T2^-1 * T1 * T2^-1 * T1^-1)^2, T2^-2 * T1^-1 * T2^7 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 81, 3, 83, 10, 90, 27, 107, 46, 126, 62, 142, 71, 151, 55, 135, 38, 118, 19, 99, 37, 117, 22, 102, 42, 122, 58, 138, 74, 154, 68, 148, 52, 132, 34, 114, 16, 96, 5, 85)(2, 82, 7, 87, 20, 100, 39, 119, 56, 136, 72, 152, 64, 144, 47, 127, 30, 110, 11, 91, 29, 109, 15, 95, 33, 113, 51, 131, 67, 147, 76, 156, 60, 140, 44, 124, 24, 104, 8, 88)(4, 84, 12, 92, 31, 111, 49, 129, 65, 145, 77, 157, 61, 141, 45, 125, 26, 106, 9, 89, 25, 105, 14, 94, 32, 112, 50, 130, 66, 146, 78, 158, 63, 143, 48, 128, 28, 108, 13, 93)(6, 86, 17, 97, 35, 115, 53, 133, 69, 149, 79, 159, 73, 153, 57, 137, 41, 121, 21, 101, 40, 120, 23, 103, 43, 123, 59, 139, 75, 155, 80, 160, 70, 150, 54, 134, 36, 116, 18, 98)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 94)(6, 84)(7, 99)(8, 102)(9, 97)(10, 104)(11, 83)(12, 101)(13, 103)(14, 98)(15, 85)(16, 100)(17, 91)(18, 95)(19, 92)(20, 116)(21, 87)(22, 93)(23, 88)(24, 115)(25, 117)(26, 122)(27, 125)(28, 90)(29, 120)(30, 123)(31, 96)(32, 118)(33, 121)(34, 130)(35, 108)(36, 111)(37, 109)(38, 113)(39, 135)(40, 105)(41, 112)(42, 110)(43, 106)(44, 138)(45, 133)(46, 140)(47, 107)(48, 139)(49, 137)(50, 134)(51, 114)(52, 136)(53, 127)(54, 131)(55, 129)(56, 150)(57, 119)(58, 128)(59, 124)(60, 149)(61, 154)(62, 157)(63, 126)(64, 155)(65, 132)(66, 151)(67, 153)(68, 158)(69, 143)(70, 145)(71, 147)(72, 142)(73, 146)(74, 144)(75, 141)(76, 148)(77, 159)(78, 160)(79, 152)(80, 156)
	local type(s) :: { ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E19.1657
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 80 f = 40
	degree seq :: [ 40^4 ]

E19.1663 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 20})
Quotient :: dipole
Aut^+ = (C5 : C4) : C4 (small group id <80, 12>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^4, (R * Y1)^2, (R * Y3)^2, Y1^4, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2)^20 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 9, 89, 16, 96, 11, 91)(5, 85, 14, 94, 17, 97, 15, 95)(7, 87, 18, 98, 12, 92, 20, 100)(8, 88, 21, 101, 13, 93, 22, 102)(10, 90, 19, 99, 28, 108, 25, 105)(23, 103, 33, 113, 26, 106, 34, 114)(24, 104, 35, 115, 27, 107, 36, 116)(29, 109, 37, 117, 31, 111, 38, 118)(30, 110, 39, 119, 32, 112, 40, 120)(41, 121, 49, 129, 43, 123, 50, 130)(42, 122, 51, 131, 44, 124, 52, 132)(45, 125, 53, 133, 47, 127, 54, 134)(46, 126, 55, 135, 48, 128, 56, 136)(57, 137, 65, 145, 59, 139, 66, 146)(58, 138, 67, 147, 60, 140, 68, 148)(61, 141, 69, 149, 63, 143, 70, 150)(62, 142, 71, 151, 64, 144, 72, 152)(73, 153, 78, 158, 75, 155, 80, 160)(74, 154, 77, 157, 76, 156, 79, 159)(161, 241, 163, 243, 170, 250, 165, 245)(162, 242, 167, 247, 179, 259, 168, 248)(164, 244, 172, 252, 185, 265, 173, 253)(166, 246, 176, 256, 188, 268, 177, 257)(169, 249, 183, 263, 174, 254, 184, 264)(171, 251, 186, 266, 175, 255, 187, 267)(178, 258, 189, 269, 181, 261, 190, 270)(180, 260, 191, 271, 182, 262, 192, 272)(193, 273, 201, 281, 195, 275, 202, 282)(194, 274, 203, 283, 196, 276, 204, 284)(197, 277, 205, 285, 199, 279, 206, 286)(198, 278, 207, 287, 200, 280, 208, 288)(209, 289, 217, 297, 211, 291, 218, 298)(210, 290, 219, 299, 212, 292, 220, 300)(213, 293, 221, 301, 215, 295, 222, 302)(214, 294, 223, 303, 216, 296, 224, 304)(225, 305, 233, 313, 227, 307, 234, 314)(226, 306, 235, 315, 228, 308, 236, 316)(229, 309, 237, 317, 231, 311, 238, 318)(230, 310, 239, 319, 232, 312, 240, 320)
	L = (1, 164)(2, 161)(3, 171)(4, 166)(5, 175)(6, 162)(7, 180)(8, 182)(9, 163)(10, 185)(11, 176)(12, 178)(13, 181)(14, 165)(15, 177)(16, 169)(17, 174)(18, 167)(19, 170)(20, 172)(21, 168)(22, 173)(23, 194)(24, 196)(25, 188)(26, 193)(27, 195)(28, 179)(29, 198)(30, 200)(31, 197)(32, 199)(33, 183)(34, 186)(35, 184)(36, 187)(37, 189)(38, 191)(39, 190)(40, 192)(41, 210)(42, 212)(43, 209)(44, 211)(45, 214)(46, 216)(47, 213)(48, 215)(49, 201)(50, 203)(51, 202)(52, 204)(53, 205)(54, 207)(55, 206)(56, 208)(57, 226)(58, 228)(59, 225)(60, 227)(61, 230)(62, 232)(63, 229)(64, 231)(65, 217)(66, 219)(67, 218)(68, 220)(69, 221)(70, 223)(71, 222)(72, 224)(73, 240)(74, 239)(75, 238)(76, 237)(77, 234)(78, 233)(79, 236)(80, 235)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.1668
Graph:: bipartite
	v = 40 e = 160 f = 84
	degree seq :: [ 8^40 ]

E19.1664 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 20})
Quotient :: dipole
Aut^+ = (C5 : C4) : C4 (small group id <80, 12>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, Y1^4, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y2^2 * Y1^-1 * Y2^-8 * Y1^-1 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 9, 89, 17, 97, 11, 91)(5, 85, 14, 94, 18, 98, 15, 95)(7, 87, 19, 99, 12, 92, 21, 101)(8, 88, 22, 102, 13, 93, 23, 103)(10, 90, 24, 104, 35, 115, 28, 108)(16, 96, 20, 100, 36, 116, 31, 111)(25, 105, 37, 117, 29, 109, 40, 120)(26, 106, 42, 122, 30, 110, 43, 123)(27, 107, 45, 125, 53, 133, 47, 127)(32, 112, 38, 118, 33, 113, 41, 121)(34, 114, 50, 130, 54, 134, 51, 131)(39, 119, 55, 135, 49, 129, 57, 137)(44, 124, 58, 138, 48, 128, 59, 139)(46, 126, 60, 140, 69, 149, 63, 143)(52, 132, 56, 136, 70, 150, 65, 145)(61, 141, 74, 154, 64, 144, 75, 155)(62, 142, 77, 157, 68, 148, 78, 158)(66, 146, 71, 151, 67, 147, 73, 153)(72, 152, 79, 159, 76, 156, 80, 160)(161, 241, 163, 243, 170, 250, 187, 267, 206, 286, 222, 302, 230, 310, 214, 294, 196, 276, 178, 258, 166, 246, 177, 257, 195, 275, 213, 293, 229, 309, 228, 308, 212, 292, 194, 274, 176, 256, 165, 245)(162, 242, 167, 247, 180, 260, 199, 279, 216, 296, 232, 312, 223, 303, 208, 288, 188, 268, 173, 253, 164, 244, 172, 252, 191, 271, 209, 289, 225, 305, 236, 316, 220, 300, 204, 284, 184, 264, 168, 248)(169, 249, 185, 265, 174, 254, 192, 272, 210, 290, 226, 306, 238, 318, 224, 304, 207, 287, 190, 270, 171, 251, 189, 269, 175, 255, 193, 273, 211, 291, 227, 307, 237, 317, 221, 301, 205, 285, 186, 266)(179, 259, 197, 277, 182, 262, 202, 282, 218, 298, 234, 314, 240, 320, 233, 313, 217, 297, 201, 281, 181, 261, 200, 280, 183, 263, 203, 283, 219, 299, 235, 315, 239, 319, 231, 311, 215, 295, 198, 278)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 177)(7, 180)(8, 162)(9, 185)(10, 187)(11, 189)(12, 191)(13, 164)(14, 192)(15, 193)(16, 165)(17, 195)(18, 166)(19, 197)(20, 199)(21, 200)(22, 202)(23, 203)(24, 168)(25, 174)(26, 169)(27, 206)(28, 173)(29, 175)(30, 171)(31, 209)(32, 210)(33, 211)(34, 176)(35, 213)(36, 178)(37, 182)(38, 179)(39, 216)(40, 183)(41, 181)(42, 218)(43, 219)(44, 184)(45, 186)(46, 222)(47, 190)(48, 188)(49, 225)(50, 226)(51, 227)(52, 194)(53, 229)(54, 196)(55, 198)(56, 232)(57, 201)(58, 234)(59, 235)(60, 204)(61, 205)(62, 230)(63, 208)(64, 207)(65, 236)(66, 238)(67, 237)(68, 212)(69, 228)(70, 214)(71, 215)(72, 223)(73, 217)(74, 240)(75, 239)(76, 220)(77, 221)(78, 224)(79, 231)(80, 233)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E19.1666
Graph:: bipartite
	v = 24 e = 160 f = 100
	degree seq :: [ 8^20, 40^4 ]

E19.1665 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 20})
Quotient :: dipole
Aut^+ = (C5 : C4) : C4 (small group id <80, 12>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, Y1^4, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^-2 * Y1^-1 * Y2^-2 * Y1, (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4, Y2^3 * Y1^-1 * Y2^-7 * Y1^-1, Y1^-1 * Y2^3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^3 * Y1^-2 * Y2^3 * Y1^-1 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 9, 89, 17, 97, 11, 91)(5, 85, 14, 94, 18, 98, 15, 95)(7, 87, 19, 99, 12, 92, 21, 101)(8, 88, 22, 102, 13, 93, 23, 103)(10, 90, 24, 104, 35, 115, 28, 108)(16, 96, 20, 100, 36, 116, 31, 111)(25, 105, 37, 117, 29, 109, 40, 120)(26, 106, 42, 122, 30, 110, 43, 123)(27, 107, 45, 125, 53, 133, 47, 127)(32, 112, 38, 118, 33, 113, 41, 121)(34, 114, 50, 130, 54, 134, 51, 131)(39, 119, 55, 135, 49, 129, 57, 137)(44, 124, 58, 138, 48, 128, 59, 139)(46, 126, 60, 140, 69, 149, 63, 143)(52, 132, 56, 136, 70, 150, 65, 145)(61, 141, 74, 154, 64, 144, 75, 155)(62, 142, 77, 157, 79, 159, 72, 152)(66, 146, 71, 151, 67, 147, 73, 153)(68, 148, 78, 158, 80, 160, 76, 156)(161, 241, 163, 243, 170, 250, 187, 267, 206, 286, 222, 302, 231, 311, 215, 295, 198, 278, 179, 259, 197, 277, 182, 262, 202, 282, 218, 298, 234, 314, 228, 308, 212, 292, 194, 274, 176, 256, 165, 245)(162, 242, 167, 247, 180, 260, 199, 279, 216, 296, 232, 312, 224, 304, 207, 287, 190, 270, 171, 251, 189, 269, 175, 255, 193, 273, 211, 291, 227, 307, 236, 316, 220, 300, 204, 284, 184, 264, 168, 248)(164, 244, 172, 252, 191, 271, 209, 289, 225, 305, 237, 317, 221, 301, 205, 285, 186, 266, 169, 249, 185, 265, 174, 254, 192, 272, 210, 290, 226, 306, 238, 318, 223, 303, 208, 288, 188, 268, 173, 253)(166, 246, 177, 257, 195, 275, 213, 293, 229, 309, 239, 319, 233, 313, 217, 297, 201, 281, 181, 261, 200, 280, 183, 263, 203, 283, 219, 299, 235, 315, 240, 320, 230, 310, 214, 294, 196, 276, 178, 258)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 177)(7, 180)(8, 162)(9, 185)(10, 187)(11, 189)(12, 191)(13, 164)(14, 192)(15, 193)(16, 165)(17, 195)(18, 166)(19, 197)(20, 199)(21, 200)(22, 202)(23, 203)(24, 168)(25, 174)(26, 169)(27, 206)(28, 173)(29, 175)(30, 171)(31, 209)(32, 210)(33, 211)(34, 176)(35, 213)(36, 178)(37, 182)(38, 179)(39, 216)(40, 183)(41, 181)(42, 218)(43, 219)(44, 184)(45, 186)(46, 222)(47, 190)(48, 188)(49, 225)(50, 226)(51, 227)(52, 194)(53, 229)(54, 196)(55, 198)(56, 232)(57, 201)(58, 234)(59, 235)(60, 204)(61, 205)(62, 231)(63, 208)(64, 207)(65, 237)(66, 238)(67, 236)(68, 212)(69, 239)(70, 214)(71, 215)(72, 224)(73, 217)(74, 228)(75, 240)(76, 220)(77, 221)(78, 223)(79, 233)(80, 230)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1667
Graph:: bipartite
	v = 24 e = 160 f = 100
	degree seq :: [ 8^20, 40^4 ]

E19.1666 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 20})
Quotient :: dipole
Aut^+ = (C5 : C4) : C4 (small group id <80, 12>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-2 * Y3 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, (Y3 * Y2 * Y3 * Y2^-1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^-2 * Y2^-1 * Y3^7 * Y2^-1 * Y3^-1, (Y3^-1 * Y1^-1)^20 ]
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, 166, 246, 164, 244)(163, 243, 169, 249, 177, 257, 171, 251)(165, 245, 174, 254, 178, 258, 175, 255)(167, 247, 179, 259, 172, 252, 181, 261)(168, 248, 182, 262, 173, 253, 183, 263)(170, 250, 184, 264, 195, 275, 188, 268)(176, 256, 180, 260, 196, 276, 191, 271)(185, 265, 197, 277, 189, 269, 200, 280)(186, 266, 202, 282, 190, 270, 203, 283)(187, 267, 205, 285, 213, 293, 207, 287)(192, 272, 198, 278, 193, 273, 201, 281)(194, 274, 210, 290, 214, 294, 211, 291)(199, 279, 215, 295, 209, 289, 217, 297)(204, 284, 218, 298, 208, 288, 219, 299)(206, 286, 220, 300, 229, 309, 223, 303)(212, 292, 216, 296, 230, 310, 225, 305)(221, 301, 234, 314, 224, 304, 235, 315)(222, 302, 237, 317, 239, 319, 232, 312)(226, 306, 231, 311, 227, 307, 233, 313)(228, 308, 238, 318, 240, 320, 236, 316)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 177)(7, 180)(8, 162)(9, 185)(10, 187)(11, 189)(12, 191)(13, 164)(14, 192)(15, 193)(16, 165)(17, 195)(18, 166)(19, 197)(20, 199)(21, 200)(22, 202)(23, 203)(24, 168)(25, 174)(26, 169)(27, 206)(28, 173)(29, 175)(30, 171)(31, 209)(32, 210)(33, 211)(34, 176)(35, 213)(36, 178)(37, 182)(38, 179)(39, 216)(40, 183)(41, 181)(42, 218)(43, 219)(44, 184)(45, 186)(46, 222)(47, 190)(48, 188)(49, 225)(50, 226)(51, 227)(52, 194)(53, 229)(54, 196)(55, 198)(56, 232)(57, 201)(58, 234)(59, 235)(60, 204)(61, 205)(62, 231)(63, 208)(64, 207)(65, 237)(66, 238)(67, 236)(68, 212)(69, 239)(70, 214)(71, 215)(72, 224)(73, 217)(74, 228)(75, 240)(76, 220)(77, 221)(78, 223)(79, 233)(80, 230)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.1664
Graph:: simple bipartite
	v = 100 e = 160 f = 24
	degree seq :: [ 2^80, 8^20 ]

E19.1667 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 20})
Quotient :: dipole
Aut^+ = (C5 : C4) : C4 (small group id <80, 12>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-2 * Y2^-1 * Y3^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^2 * Y2^-1 * Y3^-8 * Y2^-1, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)(161, 241, 162, 242, 166, 246, 164, 244)(163, 243, 169, 249, 177, 257, 171, 251)(165, 245, 174, 254, 178, 258, 175, 255)(167, 247, 179, 259, 172, 252, 181, 261)(168, 248, 182, 262, 173, 253, 183, 263)(170, 250, 184, 264, 195, 275, 188, 268)(176, 256, 180, 260, 196, 276, 191, 271)(185, 265, 197, 277, 189, 269, 200, 280)(186, 266, 202, 282, 190, 270, 203, 283)(187, 267, 205, 285, 213, 293, 207, 287)(192, 272, 198, 278, 193, 273, 201, 281)(194, 274, 210, 290, 214, 294, 211, 291)(199, 279, 215, 295, 209, 289, 217, 297)(204, 284, 218, 298, 208, 288, 219, 299)(206, 286, 220, 300, 229, 309, 223, 303)(212, 292, 216, 296, 230, 310, 225, 305)(221, 301, 234, 314, 224, 304, 235, 315)(222, 302, 237, 317, 228, 308, 238, 318)(226, 306, 231, 311, 227, 307, 233, 313)(232, 312, 239, 319, 236, 316, 240, 320)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 177)(7, 180)(8, 162)(9, 185)(10, 187)(11, 189)(12, 191)(13, 164)(14, 192)(15, 193)(16, 165)(17, 195)(18, 166)(19, 197)(20, 199)(21, 200)(22, 202)(23, 203)(24, 168)(25, 174)(26, 169)(27, 206)(28, 173)(29, 175)(30, 171)(31, 209)(32, 210)(33, 211)(34, 176)(35, 213)(36, 178)(37, 182)(38, 179)(39, 216)(40, 183)(41, 181)(42, 218)(43, 219)(44, 184)(45, 186)(46, 222)(47, 190)(48, 188)(49, 225)(50, 226)(51, 227)(52, 194)(53, 229)(54, 196)(55, 198)(56, 232)(57, 201)(58, 234)(59, 235)(60, 204)(61, 205)(62, 230)(63, 208)(64, 207)(65, 236)(66, 238)(67, 237)(68, 212)(69, 228)(70, 214)(71, 215)(72, 223)(73, 217)(74, 240)(75, 239)(76, 220)(77, 221)(78, 224)(79, 231)(80, 233)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.1665
Graph:: simple bipartite
	v = 100 e = 160 f = 24
	degree seq :: [ 2^80, 8^20 ]

E19.1668 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 20})
Quotient :: dipole
Aut^+ = (C5 : C4) : C4 (small group id <80, 12>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^-2, (Y3^-1 * Y1)^4, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^4, Y1^-2 * Y3 * Y1^3 * Y3 * Y1^-5, Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1^3 * Y3^2 * Y1^3 * Y3 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 17, 97, 35, 115, 53, 133, 69, 149, 62, 142, 47, 127, 26, 106, 41, 121, 29, 109, 43, 123, 59, 139, 75, 155, 66, 146, 50, 130, 32, 112, 13, 93, 4, 84)(3, 83, 9, 89, 25, 105, 45, 125, 61, 141, 71, 151, 58, 138, 37, 117, 24, 104, 8, 88, 23, 103, 14, 94, 34, 114, 51, 131, 68, 148, 73, 153, 54, 134, 39, 119, 18, 98, 11, 91)(5, 85, 15, 95, 33, 113, 52, 132, 67, 147, 70, 150, 57, 137, 36, 116, 22, 102, 7, 87, 20, 100, 12, 92, 31, 111, 49, 129, 65, 145, 74, 154, 55, 135, 40, 120, 19, 99, 16, 96)(10, 90, 21, 101, 38, 118, 56, 136, 72, 152, 79, 159, 78, 158, 63, 143, 48, 128, 27, 107, 42, 122, 30, 110, 44, 124, 60, 140, 76, 156, 80, 160, 77, 157, 64, 144, 46, 126, 28, 108)(161, 241)(162, 242)(163, 243)(164, 244)(165, 245)(166, 246)(167, 247)(168, 248)(169, 249)(170, 250)(171, 251)(172, 252)(173, 253)(174, 254)(175, 255)(176, 256)(177, 257)(178, 258)(179, 259)(180, 260)(181, 261)(182, 262)(183, 263)(184, 264)(185, 265)(186, 266)(187, 267)(188, 268)(189, 269)(190, 270)(191, 271)(192, 272)(193, 273)(194, 274)(195, 275)(196, 276)(197, 277)(198, 278)(199, 279)(200, 280)(201, 281)(202, 282)(203, 283)(204, 284)(205, 285)(206, 286)(207, 287)(208, 288)(209, 289)(210, 290)(211, 291)(212, 292)(213, 293)(214, 294)(215, 295)(216, 296)(217, 297)(218, 298)(219, 299)(220, 300)(221, 301)(222, 302)(223, 303)(224, 304)(225, 305)(226, 306)(227, 307)(228, 308)(229, 309)(230, 310)(231, 311)(232, 312)(233, 313)(234, 314)(235, 315)(236, 316)(237, 317)(238, 318)(239, 319)(240, 320)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 178)(7, 181)(8, 162)(9, 186)(10, 165)(11, 189)(12, 188)(13, 185)(14, 164)(15, 187)(16, 190)(17, 196)(18, 198)(19, 166)(20, 201)(21, 168)(22, 203)(23, 202)(24, 204)(25, 206)(26, 175)(27, 169)(28, 174)(29, 176)(30, 171)(31, 207)(32, 209)(33, 173)(34, 208)(35, 214)(36, 216)(37, 177)(38, 179)(39, 219)(40, 220)(41, 183)(42, 180)(43, 184)(44, 182)(45, 222)(46, 193)(47, 194)(48, 191)(49, 224)(50, 221)(51, 192)(52, 223)(53, 230)(54, 232)(55, 195)(56, 197)(57, 235)(58, 236)(59, 200)(60, 199)(61, 237)(62, 212)(63, 205)(64, 211)(65, 229)(66, 234)(67, 210)(68, 238)(69, 228)(70, 239)(71, 213)(72, 215)(73, 226)(74, 240)(75, 218)(76, 217)(77, 227)(78, 225)(79, 231)(80, 233)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 8 ), ( 8^40 ) }
Outer automorphisms :: reflexible
Dual of E19.1663
Graph:: simple bipartite
	v = 84 e = 160 f = 40
	degree seq :: [ 2^80, 40^4 ]

E19.1669 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 20})
Quotient :: edge
Aut^+ = C20 : C4 (small group id <80, 13>)
Aut   = (C20 x C2 x C2) : C2 (small group id <160, 151>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2^-1, T1^4, T2^20 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 73, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 78, 72, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 79, 74, 66, 58, 50, 42, 34, 26, 18, 10)(6, 13, 21, 29, 37, 45, 53, 61, 69, 76, 80, 77, 70, 62, 54, 46, 38, 30, 22, 14)(81, 82, 86, 84)(83, 88, 93, 90)(85, 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, 149, 146)(140, 143, 150, 147)(145, 152, 156, 154)(148, 151, 157, 155)(153, 158, 160, 159)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E19.1670
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 80 f = 20
	degree seq :: [ 4^20, 20^4 ]

E19.1670 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 20})
Quotient :: loop
Aut^+ = C20 : C4 (small group id <80, 13>)
Aut   = (C20 x C2 x C2) : C2 (small group id <160, 151>)
|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)^20 ]
Map:: non-degenerate
	R = (1, 81, 3, 83, 6, 86, 5, 85)(2, 82, 7, 87, 4, 84, 8, 88)(9, 89, 13, 93, 10, 90, 14, 94)(11, 91, 15, 95, 12, 92, 16, 96)(17, 97, 21, 101, 18, 98, 22, 102)(19, 99, 23, 103, 20, 100, 24, 104)(25, 105, 29, 109, 26, 106, 30, 110)(27, 107, 31, 111, 28, 108, 32, 112)(33, 113, 53, 133, 34, 114, 55, 135)(35, 115, 57, 137, 40, 120, 59, 139)(36, 116, 61, 141, 38, 118, 64, 144)(37, 117, 60, 140, 39, 119, 63, 143)(41, 121, 69, 149, 42, 122, 71, 151)(43, 123, 73, 153, 44, 124, 75, 155)(45, 125, 77, 157, 46, 126, 79, 159)(47, 127, 78, 158, 48, 128, 80, 160)(49, 129, 76, 156, 50, 130, 74, 154)(51, 131, 70, 150, 52, 132, 72, 152)(54, 134, 66, 146, 56, 136, 62, 142)(58, 138, 65, 145, 68, 148, 67, 147)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 90)(6, 84)(7, 91)(8, 92)(9, 85)(10, 83)(11, 88)(12, 87)(13, 97)(14, 98)(15, 99)(16, 100)(17, 94)(18, 93)(19, 96)(20, 95)(21, 105)(22, 106)(23, 107)(24, 108)(25, 102)(26, 101)(27, 104)(28, 103)(29, 113)(30, 114)(31, 119)(32, 117)(33, 110)(34, 109)(35, 135)(36, 140)(37, 111)(38, 143)(39, 112)(40, 133)(41, 139)(42, 137)(43, 144)(44, 141)(45, 151)(46, 149)(47, 155)(48, 153)(49, 159)(50, 157)(51, 160)(52, 158)(53, 115)(54, 154)(55, 120)(56, 156)(57, 121)(58, 142)(59, 122)(60, 118)(61, 123)(62, 148)(63, 116)(64, 124)(65, 150)(66, 138)(67, 152)(68, 146)(69, 125)(70, 147)(71, 126)(72, 145)(73, 127)(74, 136)(75, 128)(76, 134)(77, 129)(78, 131)(79, 130)(80, 132)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.1669
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 24
	degree seq :: [ 8^20 ]

E19.1671 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 20})
Quotient :: dipole
Aut^+ = C20 : C4 (small group id <80, 13>)
Aut   = (C20 x C2 x C2) : C2 (small group id <160, 151>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1^4, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^4, Y2^20 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 8, 88, 13, 93, 10, 90)(5, 85, 7, 87, 14, 94, 11, 91)(9, 89, 16, 96, 21, 101, 18, 98)(12, 92, 15, 95, 22, 102, 19, 99)(17, 97, 24, 104, 29, 109, 26, 106)(20, 100, 23, 103, 30, 110, 27, 107)(25, 105, 32, 112, 37, 117, 34, 114)(28, 108, 31, 111, 38, 118, 35, 115)(33, 113, 40, 120, 45, 125, 42, 122)(36, 116, 39, 119, 46, 126, 43, 123)(41, 121, 48, 128, 53, 133, 50, 130)(44, 124, 47, 127, 54, 134, 51, 131)(49, 129, 56, 136, 61, 141, 58, 138)(52, 132, 55, 135, 62, 142, 59, 139)(57, 137, 64, 144, 69, 149, 66, 146)(60, 140, 63, 143, 70, 150, 67, 147)(65, 145, 72, 152, 76, 156, 74, 154)(68, 148, 71, 151, 77, 157, 75, 155)(73, 153, 78, 158, 80, 160, 79, 159)(161, 241, 163, 243, 169, 249, 177, 257, 185, 265, 193, 273, 201, 281, 209, 289, 217, 297, 225, 305, 233, 313, 228, 308, 220, 300, 212, 292, 204, 284, 196, 276, 188, 268, 180, 260, 172, 252, 165, 245)(162, 242, 167, 247, 175, 255, 183, 263, 191, 271, 199, 279, 207, 287, 215, 295, 223, 303, 231, 311, 238, 318, 232, 312, 224, 304, 216, 296, 208, 288, 200, 280, 192, 272, 184, 264, 176, 256, 168, 248)(164, 244, 171, 251, 179, 259, 187, 267, 195, 275, 203, 283, 211, 291, 219, 299, 227, 307, 235, 315, 239, 319, 234, 314, 226, 306, 218, 298, 210, 290, 202, 282, 194, 274, 186, 266, 178, 258, 170, 250)(166, 246, 173, 253, 181, 261, 189, 269, 197, 277, 205, 285, 213, 293, 221, 301, 229, 309, 236, 316, 240, 320, 237, 317, 230, 310, 222, 302, 214, 294, 206, 286, 198, 278, 190, 270, 182, 262, 174, 254)
	L = (1, 163)(2, 167)(3, 169)(4, 171)(5, 161)(6, 173)(7, 175)(8, 162)(9, 177)(10, 164)(11, 179)(12, 165)(13, 181)(14, 166)(15, 183)(16, 168)(17, 185)(18, 170)(19, 187)(20, 172)(21, 189)(22, 174)(23, 191)(24, 176)(25, 193)(26, 178)(27, 195)(28, 180)(29, 197)(30, 182)(31, 199)(32, 184)(33, 201)(34, 186)(35, 203)(36, 188)(37, 205)(38, 190)(39, 207)(40, 192)(41, 209)(42, 194)(43, 211)(44, 196)(45, 213)(46, 198)(47, 215)(48, 200)(49, 217)(50, 202)(51, 219)(52, 204)(53, 221)(54, 206)(55, 223)(56, 208)(57, 225)(58, 210)(59, 227)(60, 212)(61, 229)(62, 214)(63, 231)(64, 216)(65, 233)(66, 218)(67, 235)(68, 220)(69, 236)(70, 222)(71, 238)(72, 224)(73, 228)(74, 226)(75, 239)(76, 240)(77, 230)(78, 232)(79, 234)(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, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E19.1672
Graph:: bipartite
	v = 24 e = 160 f = 100
	degree seq :: [ 8^20, 40^4 ]

E19.1672 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 20})
Quotient :: dipole
Aut^+ = C20 : C4 (small group id <80, 13>)
Aut   = (C20 x C2 x C2) : C2 (small group id <160, 151>)
|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, Y3^9 * Y2 * Y3^-11 * Y2^-1, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)(161, 241, 162, 242, 166, 246, 164, 244)(163, 243, 168, 248, 173, 253, 170, 250)(165, 245, 167, 247, 174, 254, 171, 251)(169, 249, 176, 256, 181, 261, 178, 258)(172, 252, 175, 255, 182, 262, 179, 259)(177, 257, 184, 264, 189, 269, 186, 266)(180, 260, 183, 263, 190, 270, 187, 267)(185, 265, 192, 272, 197, 277, 194, 274)(188, 268, 191, 271, 198, 278, 195, 275)(193, 273, 200, 280, 205, 285, 202, 282)(196, 276, 199, 279, 206, 286, 203, 283)(201, 281, 208, 288, 213, 293, 210, 290)(204, 284, 207, 287, 214, 294, 211, 291)(209, 289, 216, 296, 221, 301, 218, 298)(212, 292, 215, 295, 222, 302, 219, 299)(217, 297, 224, 304, 229, 309, 226, 306)(220, 300, 223, 303, 230, 310, 227, 307)(225, 305, 232, 312, 236, 316, 234, 314)(228, 308, 231, 311, 237, 317, 235, 315)(233, 313, 238, 318, 240, 320, 239, 319)
	L = (1, 163)(2, 167)(3, 169)(4, 171)(5, 161)(6, 173)(7, 175)(8, 162)(9, 177)(10, 164)(11, 179)(12, 165)(13, 181)(14, 166)(15, 183)(16, 168)(17, 185)(18, 170)(19, 187)(20, 172)(21, 189)(22, 174)(23, 191)(24, 176)(25, 193)(26, 178)(27, 195)(28, 180)(29, 197)(30, 182)(31, 199)(32, 184)(33, 201)(34, 186)(35, 203)(36, 188)(37, 205)(38, 190)(39, 207)(40, 192)(41, 209)(42, 194)(43, 211)(44, 196)(45, 213)(46, 198)(47, 215)(48, 200)(49, 217)(50, 202)(51, 219)(52, 204)(53, 221)(54, 206)(55, 223)(56, 208)(57, 225)(58, 210)(59, 227)(60, 212)(61, 229)(62, 214)(63, 231)(64, 216)(65, 233)(66, 218)(67, 235)(68, 220)(69, 236)(70, 222)(71, 238)(72, 224)(73, 228)(74, 226)(75, 239)(76, 240)(77, 230)(78, 232)(79, 234)(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) :: { ( 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.1671
Graph:: simple bipartite
	v = 100 e = 160 f = 24
	degree seq :: [ 2^80, 8^20 ]

E19.1673 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 20})
Quotient :: edge
Aut^+ = C4 x (C5 : C4) (small group id <80, 30>)
Aut   = C4 x (C5 : C4) (small group id <80, 30>)
|r| :: 1
Presentation :: [ X1^4, X1 * X2^3 * X1^-1 * X2, X2^2 * X1^-2 * X2^-1 * X1^-1 * X2^-1 * X1^-1, (X2^2 * X1^2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 25, 11)(5, 14, 37, 15)(7, 19, 47, 21)(8, 22, 53, 23)(10, 27, 46, 29)(12, 32, 65, 34)(13, 28, 61, 35)(16, 40, 42, 30)(17, 41, 68, 43)(18, 44, 71, 45)(20, 49, 36, 50)(24, 56, 33, 51)(26, 59, 72, 55)(31, 62, 73, 48)(38, 58, 69, 52)(39, 66, 70, 54)(57, 74, 80, 79)(60, 75, 64, 77)(63, 76, 67, 78)(81, 83, 90, 108, 142, 156, 130, 103, 135, 148, 160, 151, 132, 101, 131, 157, 146, 112, 96, 85)(82, 87, 100, 94, 118, 147, 120, 125, 153, 145, 159, 141, 150, 123, 107, 140, 106, 89, 104, 88)(84, 92, 113, 124, 152, 143, 109, 95, 119, 127, 154, 133, 111, 91, 110, 144, 149, 121, 116, 93)(86, 97, 122, 102, 134, 158, 136, 115, 138, 105, 137, 117, 139, 114, 129, 155, 128, 99, 126, 98)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^20 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 80 f = 20
	degree seq :: [ 4^20, 20^4 ]

E19.1674 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 20})
Quotient :: loop
Aut^+ = C4 x (C5 : C4) (small group id <80, 30>)
Aut   = C4 x (C5 : C4) (small group id <80, 30>)
|r| :: 1
Presentation :: [ X1^4, X2^4, X1^-1 * X2 * X1^-1 * X2^2 * X1^-1 * X2 * X1^-1, X2^-1 * X1^2 * X2 * X1 * X2 * X1 * X2^-1, (X1^-1 * X2 * X1^-1 * X2^-1)^2, X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 9, 89, 23, 103, 11, 91)(5, 85, 14, 94, 35, 115, 15, 95)(7, 87, 18, 98, 45, 125, 20, 100)(8, 88, 21, 101, 52, 132, 22, 102)(10, 90, 26, 106, 60, 140, 27, 107)(12, 92, 30, 110, 62, 142, 32, 112)(13, 93, 33, 113, 58, 138, 34, 114)(16, 96, 40, 120, 67, 147, 42, 122)(17, 97, 43, 123, 70, 150, 44, 124)(19, 99, 48, 128, 39, 119, 49, 129)(24, 104, 41, 121, 69, 149, 56, 136)(25, 105, 53, 133, 38, 118, 59, 139)(28, 108, 50, 130, 37, 117, 54, 134)(29, 109, 55, 135, 74, 154, 47, 127)(31, 111, 64, 144, 72, 152, 46, 126)(36, 116, 65, 145, 73, 153, 63, 143)(51, 131, 71, 151, 57, 137, 68, 148)(61, 141, 75, 155, 79, 159, 77, 157)(66, 146, 76, 156, 80, 160, 78, 158)
	L = (1, 83)(2, 87)(3, 90)(4, 92)(5, 81)(6, 96)(7, 99)(8, 82)(9, 104)(10, 85)(11, 108)(12, 111)(13, 84)(14, 116)(15, 118)(16, 121)(17, 86)(18, 126)(19, 88)(20, 130)(21, 133)(22, 135)(23, 128)(24, 138)(25, 89)(26, 141)(27, 132)(28, 123)(29, 91)(30, 129)(31, 93)(32, 134)(33, 131)(34, 145)(35, 127)(36, 122)(37, 94)(38, 146)(39, 95)(40, 107)(41, 97)(42, 117)(43, 109)(44, 151)(45, 149)(46, 115)(47, 98)(48, 155)(49, 150)(50, 113)(51, 100)(52, 148)(53, 112)(54, 101)(55, 156)(56, 102)(57, 103)(58, 105)(59, 147)(60, 114)(61, 154)(62, 106)(63, 110)(64, 157)(65, 158)(66, 119)(67, 144)(68, 120)(69, 159)(70, 143)(71, 160)(72, 124)(73, 125)(74, 142)(75, 137)(76, 136)(77, 139)(78, 140)(79, 153)(80, 152)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 20 e = 80 f = 24
	degree seq :: [ 8^20 ]

E19.1675 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {4, 4, 20})
Quotient :: loop
Aut^+ = C4 x (C5 : C4) (small group id <80, 30>)
Aut   = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
|r| :: 2
Presentation :: [ F^2, T2^4, T1^4, F * T1 * F * T2, T2 * T1 * T2 * T1 * T2^2 * T1^-2, T2 * T1^-2 * T2 * T1^-1 * T2^2 * T1^-1, T2^-1 * T1^-2 * T2^2 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 31, 13)(6, 16, 41, 17)(9, 24, 58, 25)(11, 28, 43, 29)(14, 36, 42, 37)(15, 38, 66, 39)(18, 46, 35, 47)(20, 50, 33, 51)(21, 53, 32, 54)(22, 55, 76, 56)(23, 48, 75, 57)(26, 61, 74, 62)(27, 52, 68, 40)(30, 49, 70, 63)(34, 65, 78, 60)(44, 71, 80, 72)(45, 69, 79, 73)(59, 67, 64, 77)(81, 82, 86, 84)(83, 89, 103, 91)(85, 94, 115, 95)(87, 98, 125, 100)(88, 101, 132, 102)(90, 106, 140, 107)(92, 110, 142, 112)(93, 113, 138, 114)(96, 120, 147, 122)(97, 123, 150, 124)(99, 128, 119, 129)(104, 121, 149, 136)(105, 133, 118, 139)(108, 130, 117, 134)(109, 135, 154, 127)(111, 144, 152, 126)(116, 145, 153, 143)(131, 151, 137, 148)(141, 155, 159, 157)(146, 156, 160, 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) :: { ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1676
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 40 e = 80 f = 4
	degree seq :: [ 4^40 ]

E19.1676 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {4, 4, 20})
Quotient :: edge
Aut^+ = C4 x (C5 : C4) (small group id <80, 30>)
Aut   = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, F * T1 * T2 * F * T1^-1, T2 * T1 * T2^3 * T1^-1, T2^2 * T1^-1 * T2 * T1 * T2, T2 * F * T1 * T2^-2 * F * T1^-1, T1 * T2 * T1^-2 * T2^-2 * T1 * T2, (T1^-1 * T2 * T1^-1 * T2^-1)^2, (T1, T2)^5 ]
Map:: polytopal non-degenerate
	R = (1, 81, 3, 83, 10, 90, 28, 108, 62, 142, 76, 156, 50, 130, 23, 103, 55, 135, 68, 148, 80, 160, 71, 151, 52, 132, 21, 101, 51, 131, 77, 157, 66, 146, 32, 112, 16, 96, 5, 85)(2, 82, 7, 87, 20, 100, 14, 94, 38, 118, 67, 147, 40, 120, 45, 125, 73, 153, 65, 145, 79, 159, 61, 141, 70, 150, 43, 123, 27, 107, 60, 140, 26, 106, 9, 89, 24, 104, 8, 88)(4, 84, 12, 92, 33, 113, 44, 124, 72, 152, 63, 143, 29, 109, 15, 95, 39, 119, 47, 127, 74, 154, 53, 133, 31, 111, 11, 91, 30, 110, 64, 144, 69, 149, 41, 121, 36, 116, 13, 93)(6, 86, 17, 97, 42, 122, 22, 102, 54, 134, 78, 158, 56, 136, 35, 115, 58, 138, 25, 105, 57, 137, 37, 117, 59, 139, 34, 114, 49, 129, 75, 155, 48, 128, 19, 99, 46, 126, 18, 98)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 94)(6, 84)(7, 99)(8, 102)(9, 105)(10, 107)(11, 83)(12, 112)(13, 108)(14, 117)(15, 85)(16, 120)(17, 121)(18, 124)(19, 127)(20, 129)(21, 87)(22, 133)(23, 88)(24, 136)(25, 91)(26, 139)(27, 126)(28, 141)(29, 90)(30, 96)(31, 142)(32, 145)(33, 131)(34, 92)(35, 93)(36, 130)(37, 95)(38, 138)(39, 146)(40, 122)(41, 148)(42, 110)(43, 97)(44, 151)(45, 98)(46, 109)(47, 101)(48, 111)(49, 116)(50, 100)(51, 104)(52, 118)(53, 103)(54, 119)(55, 106)(56, 113)(57, 154)(58, 149)(59, 152)(60, 155)(61, 115)(62, 153)(63, 156)(64, 157)(65, 114)(66, 150)(67, 158)(68, 123)(69, 132)(70, 134)(71, 125)(72, 135)(73, 128)(74, 160)(75, 144)(76, 147)(77, 140)(78, 143)(79, 137)(80, 159)
	local type(s) :: { ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E19.1675
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 4 e = 80 f = 40
	degree seq :: [ 40^4 ]

E19.1677 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 20})
Quotient :: edge^2
Aut^+ = C4 x (C5 : C4) (small group id <80, 30>)
Aut   = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y2, (R * Y3)^2, Y1^4, Y2^4, R * Y2 * R * Y1, Y1 * Y3^-3 * Y2, (Y2 * Y3^-1 * Y1^-1)^2, (Y3 * Y2 * Y1^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^2 * Y3^-1, Y1^-2 * Y3 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 4, 84, 17, 97, 12, 92, 43, 123, 75, 155, 40, 120, 41, 121, 66, 146, 72, 152, 76, 156, 74, 154, 32, 112, 34, 114, 61, 141, 80, 160, 63, 143, 22, 102, 29, 109, 7, 87)(2, 82, 9, 89, 33, 113, 26, 106, 68, 148, 78, 158, 58, 138, 59, 139, 44, 124, 62, 142, 47, 127, 42, 122, 70, 150, 56, 136, 19, 99, 55, 135, 25, 105, 6, 86, 24, 104, 11, 91)(3, 83, 5, 85, 21, 101, 45, 125, 57, 137, 79, 159, 53, 133, 27, 107, 28, 108, 69, 149, 36, 116, 65, 145, 52, 132, 16, 96, 18, 98, 54, 134, 73, 153, 49, 129, 31, 111, 15, 95)(8, 88, 30, 110, 71, 151, 39, 119, 77, 157, 46, 126, 13, 93, 14, 94, 48, 128, 23, 103, 64, 144, 67, 147, 60, 140, 50, 130, 35, 115, 51, 131, 38, 118, 10, 90, 37, 117, 20, 100)(161, 162, 168, 165)(163, 172, 202, 174)(164, 166, 183, 178)(167, 186, 227, 188)(169, 170, 196, 194)(171, 199, 212, 201)(173, 205, 221, 184)(175, 200, 193, 195)(176, 203, 204, 198)(177, 179, 197, 187)(180, 217, 234, 219)(181, 182, 222, 210)(185, 220, 239, 226)(189, 218, 231, 214)(190, 191, 232, 216)(192, 228, 208, 209)(206, 213, 235, 238)(207, 224, 225, 236)(211, 233, 240, 215)(223, 230, 237, 229)(241, 243, 253, 246)(242, 247, 267, 250)(244, 256, 291, 259)(245, 260, 298, 262)(248, 251, 280, 271)(249, 272, 313, 275)(252, 255, 290, 284)(254, 287, 312, 289)(257, 293, 317, 282)(258, 288, 266, 269)(261, 300, 295, 301)(263, 265, 281, 305)(264, 274, 309, 279)(268, 304, 302, 303)(270, 310, 320, 294)(273, 315, 319, 307)(276, 278, 299, 316)(277, 296, 306, 297)(283, 292, 311, 318)(285, 286, 308, 314)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E19.1680
Graph:: simple bipartite
	v = 44 e = 160 f = 80
	degree seq :: [ 4^40, 40^4 ]

E19.1678 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 20})
Quotient :: edge^2
Aut^+ = C4 x (C5 : C4) (small group id <80, 30>)
Aut   = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
|r| :: 2
Presentation :: [ Y3, R^2, Y1^4, Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y1^2 * Y2 * Y1 * Y2 * Y1 * Y2^-2, Y2^2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, (Y2 * Y1^-1)^4, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3^-1 * Y2^-1)^20 ]
Map:: polytopal
	R = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)(161, 162, 166, 164)(163, 169, 183, 171)(165, 174, 195, 175)(167, 178, 205, 180)(168, 181, 212, 182)(170, 186, 220, 187)(172, 190, 222, 192)(173, 193, 218, 194)(176, 200, 227, 202)(177, 203, 230, 204)(179, 208, 199, 209)(184, 201, 229, 216)(185, 213, 198, 219)(188, 210, 197, 214)(189, 215, 234, 207)(191, 224, 232, 206)(196, 225, 233, 223)(211, 231, 217, 228)(221, 235, 239, 237)(226, 236, 240, 238)(241, 243, 250, 245)(242, 247, 259, 248)(244, 252, 271, 253)(246, 256, 281, 257)(249, 264, 298, 265)(251, 268, 283, 269)(254, 276, 282, 277)(255, 278, 306, 279)(258, 286, 275, 287)(260, 290, 273, 291)(261, 293, 272, 294)(262, 295, 316, 296)(263, 288, 315, 297)(266, 301, 314, 302)(267, 292, 308, 280)(270, 289, 310, 303)(274, 305, 318, 300)(284, 311, 320, 312)(285, 309, 319, 313)(299, 307, 304, 317)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 80, 80 ), ( 80^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1679
Graph:: simple bipartite
	v = 120 e = 160 f = 4
	degree seq :: [ 2^80, 4^40 ]

E19.1679 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 20})
Quotient :: loop^2
Aut^+ = C4 x (C5 : C4) (small group id <80, 30>)
Aut   = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y2, (R * Y3)^2, Y1^4, Y2^4, R * Y2 * R * Y1, Y1 * Y3^-3 * Y2, (Y2 * Y3^-1 * Y1^-1)^2, (Y3 * Y2 * Y1^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^2 * Y3^-1, Y1^-2 * Y3 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244, 17, 97, 177, 257, 12, 92, 172, 252, 43, 123, 203, 283, 75, 155, 235, 315, 40, 120, 200, 280, 41, 121, 201, 281, 66, 146, 226, 306, 72, 152, 232, 312, 76, 156, 236, 316, 74, 154, 234, 314, 32, 112, 192, 272, 34, 114, 194, 274, 61, 141, 221, 301, 80, 160, 240, 320, 63, 143, 223, 303, 22, 102, 182, 262, 29, 109, 189, 269, 7, 87, 167, 247)(2, 82, 162, 242, 9, 89, 169, 249, 33, 113, 193, 273, 26, 106, 186, 266, 68, 148, 228, 308, 78, 158, 238, 318, 58, 138, 218, 298, 59, 139, 219, 299, 44, 124, 204, 284, 62, 142, 222, 302, 47, 127, 207, 287, 42, 122, 202, 282, 70, 150, 230, 310, 56, 136, 216, 296, 19, 99, 179, 259, 55, 135, 215, 295, 25, 105, 185, 265, 6, 86, 166, 246, 24, 104, 184, 264, 11, 91, 171, 251)(3, 83, 163, 243, 5, 85, 165, 245, 21, 101, 181, 261, 45, 125, 205, 285, 57, 137, 217, 297, 79, 159, 239, 319, 53, 133, 213, 293, 27, 107, 187, 267, 28, 108, 188, 268, 69, 149, 229, 309, 36, 116, 196, 276, 65, 145, 225, 305, 52, 132, 212, 292, 16, 96, 176, 256, 18, 98, 178, 258, 54, 134, 214, 294, 73, 153, 233, 313, 49, 129, 209, 289, 31, 111, 191, 271, 15, 95, 175, 255)(8, 88, 168, 248, 30, 110, 190, 270, 71, 151, 231, 311, 39, 119, 199, 279, 77, 157, 237, 317, 46, 126, 206, 286, 13, 93, 173, 253, 14, 94, 174, 254, 48, 128, 208, 288, 23, 103, 183, 263, 64, 144, 224, 304, 67, 147, 227, 307, 60, 140, 220, 300, 50, 130, 210, 290, 35, 115, 195, 275, 51, 131, 211, 291, 38, 118, 198, 278, 10, 90, 170, 250, 37, 117, 197, 277, 20, 100, 180, 260)
	L = (1, 82)(2, 88)(3, 92)(4, 86)(5, 81)(6, 103)(7, 106)(8, 85)(9, 90)(10, 116)(11, 119)(12, 122)(13, 125)(14, 83)(15, 120)(16, 123)(17, 99)(18, 84)(19, 117)(20, 137)(21, 102)(22, 142)(23, 98)(24, 93)(25, 140)(26, 147)(27, 97)(28, 87)(29, 138)(30, 111)(31, 152)(32, 148)(33, 115)(34, 89)(35, 95)(36, 114)(37, 107)(38, 96)(39, 132)(40, 113)(41, 91)(42, 94)(43, 124)(44, 118)(45, 141)(46, 133)(47, 144)(48, 129)(49, 112)(50, 101)(51, 153)(52, 121)(53, 155)(54, 109)(55, 131)(56, 110)(57, 154)(58, 151)(59, 100)(60, 159)(61, 104)(62, 130)(63, 150)(64, 145)(65, 156)(66, 105)(67, 108)(68, 128)(69, 143)(70, 157)(71, 134)(72, 136)(73, 160)(74, 139)(75, 158)(76, 127)(77, 149)(78, 126)(79, 146)(80, 135)(161, 243)(162, 247)(163, 253)(164, 256)(165, 260)(166, 241)(167, 267)(168, 251)(169, 272)(170, 242)(171, 280)(172, 255)(173, 246)(174, 287)(175, 290)(176, 291)(177, 293)(178, 288)(179, 244)(180, 298)(181, 300)(182, 245)(183, 265)(184, 274)(185, 281)(186, 269)(187, 250)(188, 304)(189, 258)(190, 310)(191, 248)(192, 313)(193, 315)(194, 309)(195, 249)(196, 278)(197, 296)(198, 299)(199, 264)(200, 271)(201, 305)(202, 257)(203, 292)(204, 252)(205, 286)(206, 308)(207, 312)(208, 266)(209, 254)(210, 284)(211, 259)(212, 311)(213, 317)(214, 270)(215, 301)(216, 306)(217, 277)(218, 262)(219, 316)(220, 295)(221, 261)(222, 303)(223, 268)(224, 302)(225, 263)(226, 297)(227, 273)(228, 314)(229, 279)(230, 320)(231, 318)(232, 289)(233, 275)(234, 285)(235, 319)(236, 276)(237, 282)(238, 283)(239, 307)(240, 294)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.1678
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 160 f = 120
	degree seq :: [ 80^4 ]

E19.1680 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 20})
Quotient :: loop^2
Aut^+ = C4 x (C5 : C4) (small group id <80, 30>)
Aut   = (C4 x (C5 : C4)) : C2 (small group id <160, 85>)
|r| :: 2
Presentation :: [ Y3, R^2, Y1^4, Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y1^2 * Y2 * Y1 * Y2 * Y1 * Y2^-2, Y2^2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, (Y2 * Y1^-1)^4, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3^-1 * Y2^-1)^20 ]
Map:: polytopal non-degenerate
	R = (1, 81, 161, 241)(2, 82, 162, 242)(3, 83, 163, 243)(4, 84, 164, 244)(5, 85, 165, 245)(6, 86, 166, 246)(7, 87, 167, 247)(8, 88, 168, 248)(9, 89, 169, 249)(10, 90, 170, 250)(11, 91, 171, 251)(12, 92, 172, 252)(13, 93, 173, 253)(14, 94, 174, 254)(15, 95, 175, 255)(16, 96, 176, 256)(17, 97, 177, 257)(18, 98, 178, 258)(19, 99, 179, 259)(20, 100, 180, 260)(21, 101, 181, 261)(22, 102, 182, 262)(23, 103, 183, 263)(24, 104, 184, 264)(25, 105, 185, 265)(26, 106, 186, 266)(27, 107, 187, 267)(28, 108, 188, 268)(29, 109, 189, 269)(30, 110, 190, 270)(31, 111, 191, 271)(32, 112, 192, 272)(33, 113, 193, 273)(34, 114, 194, 274)(35, 115, 195, 275)(36, 116, 196, 276)(37, 117, 197, 277)(38, 118, 198, 278)(39, 119, 199, 279)(40, 120, 200, 280)(41, 121, 201, 281)(42, 122, 202, 282)(43, 123, 203, 283)(44, 124, 204, 284)(45, 125, 205, 285)(46, 126, 206, 286)(47, 127, 207, 287)(48, 128, 208, 288)(49, 129, 209, 289)(50, 130, 210, 290)(51, 131, 211, 291)(52, 132, 212, 292)(53, 133, 213, 293)(54, 134, 214, 294)(55, 135, 215, 295)(56, 136, 216, 296)(57, 137, 217, 297)(58, 138, 218, 298)(59, 139, 219, 299)(60, 140, 220, 300)(61, 141, 221, 301)(62, 142, 222, 302)(63, 143, 223, 303)(64, 144, 224, 304)(65, 145, 225, 305)(66, 146, 226, 306)(67, 147, 227, 307)(68, 148, 228, 308)(69, 149, 229, 309)(70, 150, 230, 310)(71, 151, 231, 311)(72, 152, 232, 312)(73, 153, 233, 313)(74, 154, 234, 314)(75, 155, 235, 315)(76, 156, 236, 316)(77, 157, 237, 317)(78, 158, 238, 318)(79, 159, 239, 319)(80, 160, 240, 320)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 94)(6, 84)(7, 98)(8, 101)(9, 103)(10, 106)(11, 83)(12, 110)(13, 113)(14, 115)(15, 85)(16, 120)(17, 123)(18, 125)(19, 128)(20, 87)(21, 132)(22, 88)(23, 91)(24, 121)(25, 133)(26, 140)(27, 90)(28, 130)(29, 135)(30, 142)(31, 144)(32, 92)(33, 138)(34, 93)(35, 95)(36, 145)(37, 134)(38, 139)(39, 129)(40, 147)(41, 149)(42, 96)(43, 150)(44, 97)(45, 100)(46, 111)(47, 109)(48, 119)(49, 99)(50, 117)(51, 151)(52, 102)(53, 118)(54, 108)(55, 154)(56, 104)(57, 148)(58, 114)(59, 105)(60, 107)(61, 155)(62, 112)(63, 116)(64, 152)(65, 153)(66, 156)(67, 122)(68, 131)(69, 136)(70, 124)(71, 137)(72, 126)(73, 143)(74, 127)(75, 159)(76, 160)(77, 141)(78, 146)(79, 157)(80, 158)(161, 243)(162, 247)(163, 250)(164, 252)(165, 241)(166, 256)(167, 259)(168, 242)(169, 264)(170, 245)(171, 268)(172, 271)(173, 244)(174, 276)(175, 278)(176, 281)(177, 246)(178, 286)(179, 248)(180, 290)(181, 293)(182, 295)(183, 288)(184, 298)(185, 249)(186, 301)(187, 292)(188, 283)(189, 251)(190, 289)(191, 253)(192, 294)(193, 291)(194, 305)(195, 287)(196, 282)(197, 254)(198, 306)(199, 255)(200, 267)(201, 257)(202, 277)(203, 269)(204, 311)(205, 309)(206, 275)(207, 258)(208, 315)(209, 310)(210, 273)(211, 260)(212, 308)(213, 272)(214, 261)(215, 316)(216, 262)(217, 263)(218, 265)(219, 307)(220, 274)(221, 314)(222, 266)(223, 270)(224, 317)(225, 318)(226, 279)(227, 304)(228, 280)(229, 319)(230, 303)(231, 320)(232, 284)(233, 285)(234, 302)(235, 297)(236, 296)(237, 299)(238, 300)(239, 313)(240, 312)
	local type(s) :: { ( 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.1677
Transitivity :: VT+
Graph:: simple bipartite
	v = 80 e = 160 f = 44
	degree seq :: [ 4^80 ]

E19.1681 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 20})
Quotient :: edge
Aut^+ = C20 : C4 (small group id <80, 31>)
Aut   = C20 : C4 (small group id <80, 31>)
|r| :: 1
Presentation :: [ X1^4, X2^-1 * X1^-1 * X2^3 * X1, (X2^-2 * X1^2)^2, (X2 * X1^-1 * X2^-1 * X1^-1)^2, (X2^-1 * X1^-1)^4, (X2 * X1^-1)^4, (X1 * X2 * X1^-1 * X2)^5 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 25, 11)(5, 14, 37, 15)(7, 19, 47, 21)(8, 22, 53, 23)(10, 28, 46, 29)(12, 32, 59, 33)(13, 34, 65, 35)(16, 27, 42, 40)(17, 41, 68, 43)(18, 44, 71, 45)(20, 50, 36, 51)(24, 49, 31, 56)(26, 58, 72, 52)(30, 63, 73, 54)(38, 64, 69, 55)(39, 66, 70, 48)(57, 74, 80, 79)(60, 76, 62, 78)(61, 75, 67, 77)(81, 83, 90, 101, 132, 157, 131, 112, 143, 148, 160, 151, 146, 114, 136, 158, 135, 103, 96, 85)(82, 87, 100, 123, 150, 140, 107, 89, 106, 139, 159, 145, 118, 94, 108, 141, 153, 125, 104, 88)(84, 92, 111, 91, 110, 142, 109, 121, 149, 127, 154, 133, 152, 124, 120, 147, 119, 95, 116, 93)(86, 97, 122, 113, 144, 155, 129, 99, 128, 105, 137, 117, 134, 102, 130, 156, 138, 115, 126, 98)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^20 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 80 f = 20
	degree seq :: [ 4^20, 20^4 ]

E19.1682 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 20})
Quotient :: loop
Aut^+ = C20 : C4 (small group id <80, 31>)
Aut   = C20 : C4 (small group id <80, 31>)
|r| :: 1
Presentation :: [ X1^4, X2^4, X2 * X1^-2 * X2 * X1^-1 * X2^-2 * X1^-1, X1^-1 * X2 * X1 * X2^2 * X1^-1 * X2^-1 * X1^-1, (X2^-1 * X1^-1 * X2 * X1^-1)^2, X2 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1^-1, (X2 * X1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 9, 89, 23, 103, 11, 91)(5, 85, 14, 94, 35, 115, 15, 95)(7, 87, 18, 98, 45, 125, 20, 100)(8, 88, 21, 101, 52, 132, 22, 102)(10, 90, 26, 106, 59, 139, 27, 107)(12, 92, 30, 110, 61, 141, 32, 112)(13, 93, 33, 113, 62, 142, 34, 114)(16, 96, 40, 120, 67, 147, 42, 122)(17, 97, 43, 123, 70, 150, 44, 124)(19, 99, 48, 128, 74, 154, 49, 129)(24, 104, 51, 131, 71, 151, 56, 136)(25, 105, 53, 133, 38, 118, 58, 138)(28, 108, 50, 130, 37, 117, 54, 134)(29, 109, 55, 135, 39, 119, 47, 127)(31, 111, 63, 143, 73, 153, 64, 144)(36, 116, 65, 145, 72, 152, 46, 126)(41, 121, 68, 148, 57, 137, 69, 149)(60, 140, 76, 156, 79, 159, 77, 157)(66, 146, 75, 155, 80, 160, 78, 158)
	L = (1, 83)(2, 87)(3, 90)(4, 92)(5, 81)(6, 96)(7, 99)(8, 82)(9, 104)(10, 85)(11, 108)(12, 111)(13, 84)(14, 116)(15, 118)(16, 121)(17, 86)(18, 126)(19, 88)(20, 130)(21, 133)(22, 135)(23, 128)(24, 120)(25, 89)(26, 140)(27, 132)(28, 123)(29, 91)(30, 127)(31, 93)(32, 134)(33, 131)(34, 145)(35, 129)(36, 122)(37, 94)(38, 146)(39, 95)(40, 105)(41, 97)(42, 117)(43, 109)(44, 151)(45, 148)(46, 110)(47, 98)(48, 155)(49, 150)(50, 113)(51, 100)(52, 149)(53, 112)(54, 101)(55, 156)(56, 102)(57, 103)(58, 114)(59, 147)(60, 154)(61, 106)(62, 107)(63, 158)(64, 115)(65, 157)(66, 119)(67, 143)(68, 159)(69, 142)(70, 144)(71, 160)(72, 124)(73, 125)(74, 141)(75, 137)(76, 136)(77, 138)(78, 139)(79, 153)(80, 152)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 20 e = 80 f = 24
	degree seq :: [ 8^20 ]

E19.1683 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {4, 4, 20})
Quotient :: loop
Aut^+ = C20 : C4 (small group id <80, 31>)
Aut   = (C20 : C4) : C2 (small group id <160, 82>)
|r| :: 2
Presentation :: [ F^2, T1^4, T2^4, F * T1 * F * T2, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T1^-1 * T2 * T1 * T2^2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 31, 13)(6, 16, 41, 17)(9, 24, 40, 25)(11, 28, 43, 29)(14, 36, 42, 37)(15, 38, 66, 39)(18, 46, 30, 47)(20, 50, 33, 51)(21, 53, 32, 54)(22, 55, 76, 56)(23, 48, 75, 57)(26, 60, 74, 61)(27, 52, 69, 62)(34, 65, 77, 58)(35, 49, 70, 64)(44, 71, 80, 72)(45, 68, 79, 73)(59, 67, 63, 78)(81, 82, 86, 84)(83, 89, 103, 91)(85, 94, 115, 95)(87, 98, 125, 100)(88, 101, 132, 102)(90, 106, 139, 107)(92, 110, 141, 112)(93, 113, 142, 114)(96, 120, 147, 122)(97, 123, 150, 124)(99, 128, 154, 129)(104, 131, 151, 136)(105, 133, 118, 138)(108, 130, 117, 134)(109, 135, 119, 127)(111, 143, 153, 144)(116, 145, 152, 126)(121, 148, 137, 149)(140, 156, 159, 157)(146, 155, 160, 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) :: { ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1684
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 40 e = 80 f = 4
	degree seq :: [ 4^40 ]

E19.1684 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {4, 4, 20})
Quotient :: edge
Aut^+ = C20 : C4 (small group id <80, 31>)
Aut   = (C20 : C4) : C2 (small group id <160, 82>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T1^4, F * T1 * T2 * F * T1^-1, T2^-1 * T1^-1 * T2^3 * T1, (T2^-2 * T1^2)^2, (T2 * T1^-1 * T2^-1 * T1^-1)^2, (T2 * T1^-1)^4, (T1^-1 * T2^-1 * T1 * F)^2, (T2^-1 * T1^-1)^4, (T1 * T2 * T1^-1 * T2)^5 ]
Map:: polytopal non-degenerate
	R = (1, 81, 3, 83, 10, 90, 21, 101, 52, 132, 77, 157, 51, 131, 32, 112, 63, 143, 68, 148, 80, 160, 71, 151, 66, 146, 34, 114, 56, 136, 78, 158, 55, 135, 23, 103, 16, 96, 5, 85)(2, 82, 7, 87, 20, 100, 43, 123, 70, 150, 60, 140, 27, 107, 9, 89, 26, 106, 59, 139, 79, 159, 65, 145, 38, 118, 14, 94, 28, 108, 61, 141, 73, 153, 45, 125, 24, 104, 8, 88)(4, 84, 12, 92, 31, 111, 11, 91, 30, 110, 62, 142, 29, 109, 41, 121, 69, 149, 47, 127, 74, 154, 53, 133, 72, 152, 44, 124, 40, 120, 67, 147, 39, 119, 15, 95, 36, 116, 13, 93)(6, 86, 17, 97, 42, 122, 33, 113, 64, 144, 75, 155, 49, 129, 19, 99, 48, 128, 25, 105, 57, 137, 37, 117, 54, 134, 22, 102, 50, 130, 76, 156, 58, 138, 35, 115, 46, 126, 18, 98)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 94)(6, 84)(7, 99)(8, 102)(9, 105)(10, 108)(11, 83)(12, 112)(13, 114)(14, 117)(15, 85)(16, 107)(17, 121)(18, 124)(19, 127)(20, 130)(21, 87)(22, 133)(23, 88)(24, 129)(25, 91)(26, 138)(27, 122)(28, 126)(29, 90)(30, 143)(31, 136)(32, 139)(33, 92)(34, 145)(35, 93)(36, 131)(37, 95)(38, 144)(39, 146)(40, 96)(41, 148)(42, 120)(43, 97)(44, 151)(45, 98)(46, 109)(47, 101)(48, 119)(49, 111)(50, 116)(51, 100)(52, 106)(53, 103)(54, 110)(55, 118)(56, 104)(57, 154)(58, 152)(59, 113)(60, 156)(61, 155)(62, 158)(63, 153)(64, 149)(65, 115)(66, 150)(67, 157)(68, 123)(69, 135)(70, 128)(71, 125)(72, 132)(73, 134)(74, 160)(75, 147)(76, 142)(77, 141)(78, 140)(79, 137)(80, 159)
	local type(s) :: { ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E19.1683
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 4 e = 80 f = 40
	degree seq :: [ 40^4 ]

E19.1685 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 20})
Quotient :: edge^2
Aut^+ = C20 : C4 (small group id <80, 31>)
Aut   = (C20 : C4) : C2 (small group id <160, 82>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, Y2^4, Y2^4, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y1^-2 * Y2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3, Y2 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y3^-1, (Y3 * Y2 * Y1^-1)^2, Y2 * Y1 * Y2^-1 * Y3^2 * Y1^-1, (Y1 * Y3 * Y2^-1)^2, Y3^20 ]
Map:: polytopal non-degenerate
	R = (1, 81, 4, 84, 17, 97, 33, 113, 64, 144, 73, 153, 50, 130, 22, 102, 54, 134, 71, 151, 74, 154, 80, 160, 44, 124, 12, 92, 43, 123, 78, 158, 39, 119, 40, 120, 29, 109, 7, 87)(2, 82, 9, 89, 32, 112, 70, 150, 75, 155, 65, 145, 25, 105, 6, 86, 24, 104, 61, 141, 47, 127, 42, 122, 67, 147, 26, 106, 19, 99, 55, 135, 57, 137, 58, 138, 41, 121, 11, 91)(3, 83, 5, 85, 21, 101, 16, 96, 18, 98, 53, 133, 52, 132, 49, 129, 31, 111, 72, 152, 35, 115, 63, 143, 76, 156, 45, 125, 56, 136, 69, 149, 68, 148, 27, 107, 28, 108, 15, 95)(8, 88, 30, 110, 59, 139, 60, 140, 79, 159, 51, 131, 37, 117, 10, 90, 36, 116, 23, 103, 62, 142, 66, 146, 77, 157, 38, 118, 34, 114, 46, 126, 13, 93, 14, 94, 48, 128, 20, 100)(161, 162, 168, 165)(163, 172, 202, 174)(164, 166, 183, 178)(167, 186, 226, 188)(169, 170, 195, 193)(171, 198, 236, 200)(173, 205, 224, 184)(175, 210, 192, 194)(176, 203, 201, 197)(177, 179, 208, 209)(180, 216, 240, 218)(181, 182, 221, 220)(185, 219, 229, 189)(187, 204, 235, 196)(190, 191, 231, 230)(199, 227, 239, 232)(206, 212, 238, 225)(207, 222, 223, 234)(211, 228, 233, 215)(213, 214, 217, 237)(241, 243, 253, 246)(242, 247, 267, 250)(244, 256, 291, 259)(245, 260, 297, 262)(248, 251, 279, 271)(249, 257, 292, 274)(252, 255, 278, 281)(254, 287, 311, 289)(258, 276, 310, 294)(261, 299, 305, 283)(263, 265, 280, 303)(264, 273, 312, 300)(266, 269, 296, 288)(268, 302, 301, 290)(270, 272, 313, 309)(275, 277, 298, 314)(282, 284, 308, 319)(285, 286, 315, 320)(293, 306, 307, 318)(295, 304, 316, 317)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E19.1688
Graph:: simple bipartite
	v = 44 e = 160 f = 80
	degree seq :: [ 4^40, 40^4 ]

E19.1686 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 20})
Quotient :: edge^2
Aut^+ = C20 : C4 (small group id <80, 31>)
Aut   = (C20 : C4) : C2 (small group id <160, 82>)
|r| :: 2
Presentation :: [ Y3, R^2, Y1^4, (R * Y3)^2, Y2^4, R * Y2 * R * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, (Y2^-1 * Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-2, Y2 * Y1^-2 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, (Y2 * Y1^-1)^4, (Y1^-1 * Y3^-1 * Y2^-1)^20 ]
Map:: polytopal
	R = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)(161, 162, 166, 164)(163, 169, 183, 171)(165, 174, 195, 175)(167, 178, 205, 180)(168, 181, 212, 182)(170, 186, 219, 187)(172, 190, 221, 192)(173, 193, 222, 194)(176, 200, 227, 202)(177, 203, 230, 204)(179, 208, 234, 209)(184, 211, 231, 216)(185, 213, 198, 218)(188, 210, 197, 214)(189, 215, 199, 207)(191, 223, 233, 224)(196, 225, 232, 206)(201, 228, 217, 229)(220, 236, 239, 237)(226, 235, 240, 238)(241, 243, 250, 245)(242, 247, 259, 248)(244, 252, 271, 253)(246, 256, 281, 257)(249, 264, 280, 265)(251, 268, 283, 269)(254, 276, 282, 277)(255, 278, 306, 279)(258, 286, 270, 287)(260, 290, 273, 291)(261, 293, 272, 294)(262, 295, 316, 296)(263, 288, 315, 297)(266, 300, 314, 301)(267, 292, 309, 302)(274, 305, 317, 298)(275, 289, 310, 304)(284, 311, 320, 312)(285, 308, 319, 313)(299, 307, 303, 318)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 80, 80 ), ( 80^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1687
Graph:: simple bipartite
	v = 120 e = 160 f = 4
	degree seq :: [ 2^80, 4^40 ]

E19.1687 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 20})
Quotient :: loop^2
Aut^+ = C20 : C4 (small group id <80, 31>)
Aut   = (C20 : C4) : C2 (small group id <160, 82>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, Y2^4, Y2^4, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y1^-2 * Y2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3, Y2 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y3^-1, (Y3 * Y2 * Y1^-1)^2, Y2 * Y1 * Y2^-1 * Y3^2 * Y1^-1, (Y1 * Y3 * Y2^-1)^2, Y3^20 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244, 17, 97, 177, 257, 33, 113, 193, 273, 64, 144, 224, 304, 73, 153, 233, 313, 50, 130, 210, 290, 22, 102, 182, 262, 54, 134, 214, 294, 71, 151, 231, 311, 74, 154, 234, 314, 80, 160, 240, 320, 44, 124, 204, 284, 12, 92, 172, 252, 43, 123, 203, 283, 78, 158, 238, 318, 39, 119, 199, 279, 40, 120, 200, 280, 29, 109, 189, 269, 7, 87, 167, 247)(2, 82, 162, 242, 9, 89, 169, 249, 32, 112, 192, 272, 70, 150, 230, 310, 75, 155, 235, 315, 65, 145, 225, 305, 25, 105, 185, 265, 6, 86, 166, 246, 24, 104, 184, 264, 61, 141, 221, 301, 47, 127, 207, 287, 42, 122, 202, 282, 67, 147, 227, 307, 26, 106, 186, 266, 19, 99, 179, 259, 55, 135, 215, 295, 57, 137, 217, 297, 58, 138, 218, 298, 41, 121, 201, 281, 11, 91, 171, 251)(3, 83, 163, 243, 5, 85, 165, 245, 21, 101, 181, 261, 16, 96, 176, 256, 18, 98, 178, 258, 53, 133, 213, 293, 52, 132, 212, 292, 49, 129, 209, 289, 31, 111, 191, 271, 72, 152, 232, 312, 35, 115, 195, 275, 63, 143, 223, 303, 76, 156, 236, 316, 45, 125, 205, 285, 56, 136, 216, 296, 69, 149, 229, 309, 68, 148, 228, 308, 27, 107, 187, 267, 28, 108, 188, 268, 15, 95, 175, 255)(8, 88, 168, 248, 30, 110, 190, 270, 59, 139, 219, 299, 60, 140, 220, 300, 79, 159, 239, 319, 51, 131, 211, 291, 37, 117, 197, 277, 10, 90, 170, 250, 36, 116, 196, 276, 23, 103, 183, 263, 62, 142, 222, 302, 66, 146, 226, 306, 77, 157, 237, 317, 38, 118, 198, 278, 34, 114, 194, 274, 46, 126, 206, 286, 13, 93, 173, 253, 14, 94, 174, 254, 48, 128, 208, 288, 20, 100, 180, 260)
	L = (1, 82)(2, 88)(3, 92)(4, 86)(5, 81)(6, 103)(7, 106)(8, 85)(9, 90)(10, 115)(11, 118)(12, 122)(13, 125)(14, 83)(15, 130)(16, 123)(17, 99)(18, 84)(19, 128)(20, 136)(21, 102)(22, 141)(23, 98)(24, 93)(25, 139)(26, 146)(27, 124)(28, 87)(29, 105)(30, 111)(31, 151)(32, 114)(33, 89)(34, 95)(35, 113)(36, 107)(37, 96)(38, 156)(39, 147)(40, 91)(41, 117)(42, 94)(43, 121)(44, 155)(45, 144)(46, 132)(47, 142)(48, 129)(49, 97)(50, 112)(51, 148)(52, 158)(53, 134)(54, 137)(55, 131)(56, 160)(57, 157)(58, 100)(59, 149)(60, 101)(61, 140)(62, 143)(63, 154)(64, 104)(65, 126)(66, 108)(67, 159)(68, 153)(69, 109)(70, 110)(71, 150)(72, 119)(73, 135)(74, 127)(75, 116)(76, 120)(77, 133)(78, 145)(79, 152)(80, 138)(161, 243)(162, 247)(163, 253)(164, 256)(165, 260)(166, 241)(167, 267)(168, 251)(169, 257)(170, 242)(171, 279)(172, 255)(173, 246)(174, 287)(175, 278)(176, 291)(177, 292)(178, 276)(179, 244)(180, 297)(181, 299)(182, 245)(183, 265)(184, 273)(185, 280)(186, 269)(187, 250)(188, 302)(189, 296)(190, 272)(191, 248)(192, 313)(193, 312)(194, 249)(195, 277)(196, 310)(197, 298)(198, 281)(199, 271)(200, 303)(201, 252)(202, 284)(203, 261)(204, 308)(205, 286)(206, 315)(207, 311)(208, 266)(209, 254)(210, 268)(211, 259)(212, 274)(213, 306)(214, 258)(215, 304)(216, 288)(217, 262)(218, 314)(219, 305)(220, 264)(221, 290)(222, 301)(223, 263)(224, 316)(225, 283)(226, 307)(227, 318)(228, 319)(229, 270)(230, 294)(231, 289)(232, 300)(233, 309)(234, 275)(235, 320)(236, 317)(237, 295)(238, 293)(239, 282)(240, 285)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.1686
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 160 f = 120
	degree seq :: [ 80^4 ]

E19.1688 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 20})
Quotient :: loop^2
Aut^+ = C20 : C4 (small group id <80, 31>)
Aut   = (C20 : C4) : C2 (small group id <160, 82>)
|r| :: 2
Presentation :: [ Y3, R^2, Y1^4, (R * Y3)^2, Y2^4, R * Y2 * R * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, (Y2^-1 * Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-2, Y2 * Y1^-2 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, (Y2 * Y1^-1)^4, (Y1^-1 * Y3^-1 * Y2^-1)^20 ]
Map:: polytopal non-degenerate
	R = (1, 81, 161, 241)(2, 82, 162, 242)(3, 83, 163, 243)(4, 84, 164, 244)(5, 85, 165, 245)(6, 86, 166, 246)(7, 87, 167, 247)(8, 88, 168, 248)(9, 89, 169, 249)(10, 90, 170, 250)(11, 91, 171, 251)(12, 92, 172, 252)(13, 93, 173, 253)(14, 94, 174, 254)(15, 95, 175, 255)(16, 96, 176, 256)(17, 97, 177, 257)(18, 98, 178, 258)(19, 99, 179, 259)(20, 100, 180, 260)(21, 101, 181, 261)(22, 102, 182, 262)(23, 103, 183, 263)(24, 104, 184, 264)(25, 105, 185, 265)(26, 106, 186, 266)(27, 107, 187, 267)(28, 108, 188, 268)(29, 109, 189, 269)(30, 110, 190, 270)(31, 111, 191, 271)(32, 112, 192, 272)(33, 113, 193, 273)(34, 114, 194, 274)(35, 115, 195, 275)(36, 116, 196, 276)(37, 117, 197, 277)(38, 118, 198, 278)(39, 119, 199, 279)(40, 120, 200, 280)(41, 121, 201, 281)(42, 122, 202, 282)(43, 123, 203, 283)(44, 124, 204, 284)(45, 125, 205, 285)(46, 126, 206, 286)(47, 127, 207, 287)(48, 128, 208, 288)(49, 129, 209, 289)(50, 130, 210, 290)(51, 131, 211, 291)(52, 132, 212, 292)(53, 133, 213, 293)(54, 134, 214, 294)(55, 135, 215, 295)(56, 136, 216, 296)(57, 137, 217, 297)(58, 138, 218, 298)(59, 139, 219, 299)(60, 140, 220, 300)(61, 141, 221, 301)(62, 142, 222, 302)(63, 143, 223, 303)(64, 144, 224, 304)(65, 145, 225, 305)(66, 146, 226, 306)(67, 147, 227, 307)(68, 148, 228, 308)(69, 149, 229, 309)(70, 150, 230, 310)(71, 151, 231, 311)(72, 152, 232, 312)(73, 153, 233, 313)(74, 154, 234, 314)(75, 155, 235, 315)(76, 156, 236, 316)(77, 157, 237, 317)(78, 158, 238, 318)(79, 159, 239, 319)(80, 160, 240, 320)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 94)(6, 84)(7, 98)(8, 101)(9, 103)(10, 106)(11, 83)(12, 110)(13, 113)(14, 115)(15, 85)(16, 120)(17, 123)(18, 125)(19, 128)(20, 87)(21, 132)(22, 88)(23, 91)(24, 131)(25, 133)(26, 139)(27, 90)(28, 130)(29, 135)(30, 141)(31, 143)(32, 92)(33, 142)(34, 93)(35, 95)(36, 145)(37, 134)(38, 138)(39, 127)(40, 147)(41, 148)(42, 96)(43, 150)(44, 97)(45, 100)(46, 116)(47, 109)(48, 154)(49, 99)(50, 117)(51, 151)(52, 102)(53, 118)(54, 108)(55, 119)(56, 104)(57, 149)(58, 105)(59, 107)(60, 156)(61, 112)(62, 114)(63, 153)(64, 111)(65, 152)(66, 155)(67, 122)(68, 137)(69, 121)(70, 124)(71, 136)(72, 126)(73, 144)(74, 129)(75, 160)(76, 159)(77, 140)(78, 146)(79, 157)(80, 158)(161, 243)(162, 247)(163, 250)(164, 252)(165, 241)(166, 256)(167, 259)(168, 242)(169, 264)(170, 245)(171, 268)(172, 271)(173, 244)(174, 276)(175, 278)(176, 281)(177, 246)(178, 286)(179, 248)(180, 290)(181, 293)(182, 295)(183, 288)(184, 280)(185, 249)(186, 300)(187, 292)(188, 283)(189, 251)(190, 287)(191, 253)(192, 294)(193, 291)(194, 305)(195, 289)(196, 282)(197, 254)(198, 306)(199, 255)(200, 265)(201, 257)(202, 277)(203, 269)(204, 311)(205, 308)(206, 270)(207, 258)(208, 315)(209, 310)(210, 273)(211, 260)(212, 309)(213, 272)(214, 261)(215, 316)(216, 262)(217, 263)(218, 274)(219, 307)(220, 314)(221, 266)(222, 267)(223, 318)(224, 275)(225, 317)(226, 279)(227, 303)(228, 319)(229, 302)(230, 304)(231, 320)(232, 284)(233, 285)(234, 301)(235, 297)(236, 296)(237, 298)(238, 299)(239, 313)(240, 312)
	local type(s) :: { ( 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.1685
Transitivity :: VT+
Graph:: simple bipartite
	v = 80 e = 160 f = 44
	degree seq :: [ 4^80 ]

E19.1689 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 40, 40})
Quotient :: regular
Aut^+ = C40 x C2 (small group id <80, 23>)
Aut   = C2 x D80 (small group id <160, 124>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^40 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 43, 39, 35, 38, 42, 46, 48, 50, 52, 54, 67, 63, 59, 56, 57, 60, 64, 68, 70, 72, 74, 76, 79, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 44, 40, 36, 33, 34, 37, 41, 45, 47, 49, 51, 53, 66, 62, 58, 61, 65, 69, 71, 73, 75, 77, 80, 78, 55, 31, 27, 23, 19, 15, 11, 7)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 44)(32, 55)(33, 35)(34, 38)(36, 39)(37, 42)(40, 43)(41, 46)(45, 48)(47, 50)(49, 52)(51, 54)(53, 67)(56, 58)(57, 61)(59, 62)(60, 65)(63, 66)(64, 69)(68, 71)(70, 73)(72, 75)(74, 77)(76, 80)(78, 79)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.1690 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 40, 40})
Quotient :: edge
Aut^+ = C40 x C2 (small group id <80, 23>)
Aut   = C2 x D80 (small group id <160, 124>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^40 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 37, 39, 41, 43, 45, 47, 50, 51, 53, 55, 57, 59, 61, 63, 65, 69, 71, 73, 75, 77, 79, 80, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 33, 34, 36, 38, 40, 42, 44, 46, 48, 52, 54, 56, 58, 60, 62, 64, 67, 68, 70, 72, 74, 76, 78, 66, 49, 30, 26, 22, 18, 14, 10, 6)(81, 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, 109)(108, 110)(111, 113)(112, 129)(114, 115)(116, 117)(118, 119)(120, 121)(122, 123)(124, 125)(126, 127)(128, 130)(131, 132)(133, 134)(135, 136)(137, 138)(139, 140)(141, 142)(143, 144)(145, 147)(146, 160)(148, 149)(150, 151)(152, 153)(154, 155)(156, 157)(158, 159)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 80, 80 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.1691
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 80 f = 2
	degree seq :: [ 2^40, 40^2 ]

E19.1691 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 40, 40})
Quotient :: loop
Aut^+ = C40 x C2 (small group id <80, 23>)
Aut   = C2 x D80 (small group id <160, 124>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^40 ]
Map::
	R = (1, 81, 3, 83, 7, 87, 11, 91, 15, 95, 19, 99, 23, 103, 27, 107, 31, 111, 33, 113, 35, 115, 38, 118, 40, 120, 42, 122, 44, 124, 46, 126, 48, 128, 50, 130, 52, 132, 54, 134, 57, 137, 59, 139, 61, 141, 63, 143, 65, 145, 67, 147, 69, 149, 71, 151, 73, 153, 76, 156, 78, 158, 80, 160, 32, 112, 28, 108, 24, 104, 20, 100, 16, 96, 12, 92, 8, 88, 4, 84)(2, 82, 5, 85, 9, 89, 13, 93, 17, 97, 21, 101, 25, 105, 29, 109, 37, 117, 34, 114, 36, 116, 39, 119, 41, 121, 43, 123, 45, 125, 47, 127, 49, 129, 56, 136, 53, 133, 55, 135, 58, 138, 60, 140, 62, 142, 64, 144, 66, 146, 68, 148, 75, 155, 72, 152, 74, 154, 77, 157, 79, 159, 70, 150, 51, 131, 30, 110, 26, 106, 22, 102, 18, 98, 14, 94, 10, 90, 6, 86)
	L = (1, 82)(2, 81)(3, 85)(4, 86)(5, 83)(6, 84)(7, 89)(8, 90)(9, 87)(10, 88)(11, 93)(12, 94)(13, 91)(14, 92)(15, 97)(16, 98)(17, 95)(18, 96)(19, 101)(20, 102)(21, 99)(22, 100)(23, 105)(24, 106)(25, 103)(26, 104)(27, 109)(28, 110)(29, 107)(30, 108)(31, 117)(32, 131)(33, 114)(34, 113)(35, 116)(36, 115)(37, 111)(38, 119)(39, 118)(40, 121)(41, 120)(42, 123)(43, 122)(44, 125)(45, 124)(46, 127)(47, 126)(48, 129)(49, 128)(50, 136)(51, 112)(52, 133)(53, 132)(54, 135)(55, 134)(56, 130)(57, 138)(58, 137)(59, 140)(60, 139)(61, 142)(62, 141)(63, 144)(64, 143)(65, 146)(66, 145)(67, 148)(68, 147)(69, 155)(70, 160)(71, 152)(72, 151)(73, 154)(74, 153)(75, 149)(76, 157)(77, 156)(78, 159)(79, 158)(80, 150)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.1690
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 80 f = 42
	degree seq :: [ 80^2 ]

E19.1692 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 40, 40})
Quotient :: dipole
Aut^+ = C40 x C2 (small group id <80, 23>)
Aut   = C2 x D80 (small group id <160, 124>)
|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, Y2^40, (Y3 * Y2^-1)^40 ]
Map::
	R = (1, 81, 2, 82)(3, 83, 5, 85)(4, 84, 6, 86)(7, 87, 9, 89)(8, 88, 10, 90)(11, 91, 13, 93)(12, 92, 14, 94)(15, 95, 17, 97)(16, 96, 18, 98)(19, 99, 21, 101)(20, 100, 22, 102)(23, 103, 25, 105)(24, 104, 26, 106)(27, 107, 29, 109)(28, 108, 30, 110)(31, 111, 36, 116)(32, 112, 51, 131)(33, 113, 34, 114)(35, 115, 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, 55, 135)(52, 132, 53, 133)(54, 134, 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, 74, 154)(70, 150, 80, 160)(71, 151, 72, 152)(73, 153, 75, 155)(76, 156, 77, 157)(78, 158, 79, 159)(161, 241, 163, 243, 167, 247, 171, 251, 175, 255, 179, 259, 183, 263, 187, 267, 191, 271, 194, 274, 197, 277, 199, 279, 201, 281, 203, 283, 205, 285, 207, 287, 209, 289, 215, 295, 212, 292, 214, 294, 217, 297, 219, 299, 221, 301, 223, 303, 225, 305, 227, 307, 229, 309, 232, 312, 235, 315, 237, 317, 239, 319, 240, 320, 192, 272, 188, 268, 184, 264, 180, 260, 176, 256, 172, 252, 168, 248, 164, 244)(162, 242, 165, 245, 169, 249, 173, 253, 177, 257, 181, 261, 185, 265, 189, 269, 196, 276, 193, 273, 195, 275, 198, 278, 200, 280, 202, 282, 204, 284, 206, 286, 208, 288, 210, 290, 213, 293, 216, 296, 218, 298, 220, 300, 222, 302, 224, 304, 226, 306, 228, 308, 234, 314, 231, 311, 233, 313, 236, 316, 238, 318, 230, 310, 211, 291, 190, 270, 186, 266, 182, 262, 178, 258, 174, 254, 170, 250, 166, 246)
	L = (1, 162)(2, 161)(3, 165)(4, 166)(5, 163)(6, 164)(7, 169)(8, 170)(9, 167)(10, 168)(11, 173)(12, 174)(13, 171)(14, 172)(15, 177)(16, 178)(17, 175)(18, 176)(19, 181)(20, 182)(21, 179)(22, 180)(23, 185)(24, 186)(25, 183)(26, 184)(27, 189)(28, 190)(29, 187)(30, 188)(31, 196)(32, 211)(33, 194)(34, 193)(35, 197)(36, 191)(37, 195)(38, 199)(39, 198)(40, 201)(41, 200)(42, 203)(43, 202)(44, 205)(45, 204)(46, 207)(47, 206)(48, 209)(49, 208)(50, 215)(51, 192)(52, 213)(53, 212)(54, 216)(55, 210)(56, 214)(57, 218)(58, 217)(59, 220)(60, 219)(61, 222)(62, 221)(63, 224)(64, 223)(65, 226)(66, 225)(67, 228)(68, 227)(69, 234)(70, 240)(71, 232)(72, 231)(73, 235)(74, 229)(75, 233)(76, 237)(77, 236)(78, 239)(79, 238)(80, 230)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 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 E19.1693
Graph:: bipartite
	v = 42 e = 160 f = 82
	degree seq :: [ 4^40, 80^2 ]

E19.1693 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 40, 40})
Quotient :: dipole
Aut^+ = C40 x C2 (small group id <80, 23>)
Aut   = C2 x D80 (small group id <160, 124>)
|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^-40, Y1^40 ]
Map::
	R = (1, 81, 2, 82, 5, 85, 9, 89, 13, 93, 17, 97, 21, 101, 25, 105, 29, 109, 35, 115, 38, 118, 40, 120, 42, 122, 44, 124, 46, 126, 48, 128, 50, 130, 55, 135, 52, 132, 53, 133, 56, 136, 58, 138, 60, 140, 62, 142, 64, 144, 66, 146, 68, 148, 73, 153, 76, 156, 78, 158, 79, 159, 80, 160, 32, 112, 28, 108, 24, 104, 20, 100, 16, 96, 12, 92, 8, 88, 4, 84)(3, 83, 6, 86, 10, 90, 14, 94, 18, 98, 22, 102, 26, 106, 30, 110, 36, 116, 33, 113, 34, 114, 37, 117, 39, 119, 41, 121, 43, 123, 45, 125, 47, 127, 49, 129, 54, 134, 57, 137, 59, 139, 61, 141, 63, 143, 65, 145, 67, 147, 69, 149, 74, 154, 71, 151, 72, 152, 75, 155, 77, 157, 70, 150, 51, 131, 31, 111, 27, 107, 23, 103, 19, 99, 15, 95, 11, 91, 7, 87)(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, 167)(5, 170)(6, 162)(7, 164)(8, 171)(9, 174)(10, 165)(11, 168)(12, 175)(13, 178)(14, 169)(15, 172)(16, 179)(17, 182)(18, 173)(19, 176)(20, 183)(21, 186)(22, 177)(23, 180)(24, 187)(25, 190)(26, 181)(27, 184)(28, 191)(29, 196)(30, 185)(31, 188)(32, 211)(33, 195)(34, 198)(35, 193)(36, 189)(37, 200)(38, 194)(39, 202)(40, 197)(41, 204)(42, 199)(43, 206)(44, 201)(45, 208)(46, 203)(47, 210)(48, 205)(49, 215)(50, 207)(51, 192)(52, 214)(53, 217)(54, 212)(55, 209)(56, 219)(57, 213)(58, 221)(59, 216)(60, 223)(61, 218)(62, 225)(63, 220)(64, 227)(65, 222)(66, 229)(67, 224)(68, 234)(69, 226)(70, 240)(71, 233)(72, 236)(73, 231)(74, 228)(75, 238)(76, 232)(77, 239)(78, 235)(79, 237)(80, 230)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 80 ), ( 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80 ) }
Outer automorphisms :: reflexible
Dual of E19.1692
Graph:: simple bipartite
	v = 82 e = 160 f = 42
	degree seq :: [ 2^80, 80^2 ]

E19.1694 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 40, 40})
Quotient :: regular
Aut^+ = C5 x (C8 : C2) (small group id <80, 24>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2 * T1, (T1 * T2 * T1^-1 * T2)^2, T1^-8 * T2 * T1^8 * T2, T2 * T1 * T2 * T1^19, T1^-1 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-4 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 69, 77, 73, 65, 57, 49, 41, 33, 25, 16, 24, 15, 23, 32, 40, 48, 56, 64, 72, 80, 76, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 12, 22, 30, 39, 46, 55, 62, 71, 78, 75, 67, 59, 51, 43, 35, 27, 18, 9, 14, 6, 13, 21, 31, 38, 47, 54, 63, 70, 79, 74, 66, 58, 50, 42, 34, 26, 17, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 25)(19, 27)(20, 30)(22, 32)(26, 33)(28, 34)(29, 38)(31, 40)(35, 41)(36, 43)(37, 46)(39, 48)(42, 49)(44, 50)(45, 54)(47, 56)(51, 57)(52, 59)(53, 62)(55, 64)(58, 65)(60, 66)(61, 70)(63, 72)(67, 73)(68, 75)(69, 78)(71, 80)(74, 77)(76, 79)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 40 f = 2
	degree seq :: [ 40^2 ]

E19.1695 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 40, 40})
Quotient :: edge
Aut^+ = C5 x (C8 : C2) (small group id <80, 24>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2^-1 * T1 * T2 * T1)^2, T2^19 * T1 * T2 * T1, T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-7 ]
Map::
	R = (1, 3, 8, 17, 26, 34, 42, 50, 58, 66, 74, 79, 71, 63, 55, 47, 39, 31, 23, 13, 21, 11, 20, 29, 37, 45, 53, 61, 69, 77, 76, 68, 60, 52, 44, 36, 28, 19, 10, 4)(2, 5, 12, 22, 30, 38, 46, 54, 62, 70, 78, 75, 67, 59, 51, 43, 35, 27, 18, 9, 16, 7, 15, 25, 33, 41, 49, 57, 65, 73, 80, 72, 64, 56, 48, 40, 32, 24, 14, 6)(81, 82)(83, 87)(84, 89)(85, 91)(86, 93)(88, 92)(90, 94)(95, 100)(96, 101)(97, 105)(98, 103)(99, 107)(102, 109)(104, 111)(106, 110)(108, 112)(113, 117)(114, 121)(115, 119)(116, 123)(118, 125)(120, 127)(122, 126)(124, 128)(129, 133)(130, 137)(131, 135)(132, 139)(134, 141)(136, 143)(138, 142)(140, 144)(145, 149)(146, 153)(147, 151)(148, 155)(150, 157)(152, 159)(154, 158)(156, 160)
	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 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E19.1696
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 80 f = 2
	degree seq :: [ 2^40, 40^2 ]

E19.1696 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 40, 40})
Quotient :: loop
Aut^+ = C5 x (C8 : C2) (small group id <80, 24>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2^-1 * T1 * T2 * T1)^2, T2^19 * T1 * T2 * T1, T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-7 ]
Map::
	R = (1, 81, 3, 83, 8, 88, 17, 97, 26, 106, 34, 114, 42, 122, 50, 130, 58, 138, 66, 146, 74, 154, 79, 159, 71, 151, 63, 143, 55, 135, 47, 127, 39, 119, 31, 111, 23, 103, 13, 93, 21, 101, 11, 91, 20, 100, 29, 109, 37, 117, 45, 125, 53, 133, 61, 141, 69, 149, 77, 157, 76, 156, 68, 148, 60, 140, 52, 132, 44, 124, 36, 116, 28, 108, 19, 99, 10, 90, 4, 84)(2, 82, 5, 85, 12, 92, 22, 102, 30, 110, 38, 118, 46, 126, 54, 134, 62, 142, 70, 150, 78, 158, 75, 155, 67, 147, 59, 139, 51, 131, 43, 123, 35, 115, 27, 107, 18, 98, 9, 89, 16, 96, 7, 87, 15, 95, 25, 105, 33, 113, 41, 121, 49, 129, 57, 137, 65, 145, 73, 153, 80, 160, 72, 152, 64, 144, 56, 136, 48, 128, 40, 120, 32, 112, 24, 104, 14, 94, 6, 86)
	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, 100)(16, 101)(17, 105)(18, 103)(19, 107)(20, 95)(21, 96)(22, 109)(23, 98)(24, 111)(25, 97)(26, 110)(27, 99)(28, 112)(29, 102)(30, 106)(31, 104)(32, 108)(33, 117)(34, 121)(35, 119)(36, 123)(37, 113)(38, 125)(39, 115)(40, 127)(41, 114)(42, 126)(43, 116)(44, 128)(45, 118)(46, 122)(47, 120)(48, 124)(49, 133)(50, 137)(51, 135)(52, 139)(53, 129)(54, 141)(55, 131)(56, 143)(57, 130)(58, 142)(59, 132)(60, 144)(61, 134)(62, 138)(63, 136)(64, 140)(65, 149)(66, 153)(67, 151)(68, 155)(69, 145)(70, 157)(71, 147)(72, 159)(73, 146)(74, 158)(75, 148)(76, 160)(77, 150)(78, 154)(79, 152)(80, 156)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.1695
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 80 f = 42
	degree seq :: [ 80^2 ]

E19.1697 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 40, 40})
Quotient :: dipole
Aut^+ = C5 x (C8 : C2) (small group id <80, 24>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|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)^2, Y2^19 * Y1 * Y2 * Y1, (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, 20, 100)(16, 96, 21, 101)(17, 97, 25, 105)(18, 98, 23, 103)(19, 99, 27, 107)(22, 102, 29, 109)(24, 104, 31, 111)(26, 106, 30, 110)(28, 108, 32, 112)(33, 113, 37, 117)(34, 114, 41, 121)(35, 115, 39, 119)(36, 116, 43, 123)(38, 118, 45, 125)(40, 120, 47, 127)(42, 122, 46, 126)(44, 124, 48, 128)(49, 129, 53, 133)(50, 130, 57, 137)(51, 131, 55, 135)(52, 132, 59, 139)(54, 134, 61, 141)(56, 136, 63, 143)(58, 138, 62, 142)(60, 140, 64, 144)(65, 145, 69, 149)(66, 146, 73, 153)(67, 147, 71, 151)(68, 148, 75, 155)(70, 150, 77, 157)(72, 152, 79, 159)(74, 154, 78, 158)(76, 156, 80, 160)(161, 241, 163, 243, 168, 248, 177, 257, 186, 266, 194, 274, 202, 282, 210, 290, 218, 298, 226, 306, 234, 314, 239, 319, 231, 311, 223, 303, 215, 295, 207, 287, 199, 279, 191, 271, 183, 263, 173, 253, 181, 261, 171, 251, 180, 260, 189, 269, 197, 277, 205, 285, 213, 293, 221, 301, 229, 309, 237, 317, 236, 316, 228, 308, 220, 300, 212, 292, 204, 284, 196, 276, 188, 268, 179, 259, 170, 250, 164, 244)(162, 242, 165, 245, 172, 252, 182, 262, 190, 270, 198, 278, 206, 286, 214, 294, 222, 302, 230, 310, 238, 318, 235, 315, 227, 307, 219, 299, 211, 291, 203, 283, 195, 275, 187, 267, 178, 258, 169, 249, 176, 256, 167, 247, 175, 255, 185, 265, 193, 273, 201, 281, 209, 289, 217, 297, 225, 305, 233, 313, 240, 320, 232, 312, 224, 304, 216, 296, 208, 288, 200, 280, 192, 272, 184, 264, 174, 254, 166, 246)
	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, 180)(16, 181)(17, 185)(18, 183)(19, 187)(20, 175)(21, 176)(22, 189)(23, 178)(24, 191)(25, 177)(26, 190)(27, 179)(28, 192)(29, 182)(30, 186)(31, 184)(32, 188)(33, 197)(34, 201)(35, 199)(36, 203)(37, 193)(38, 205)(39, 195)(40, 207)(41, 194)(42, 206)(43, 196)(44, 208)(45, 198)(46, 202)(47, 200)(48, 204)(49, 213)(50, 217)(51, 215)(52, 219)(53, 209)(54, 221)(55, 211)(56, 223)(57, 210)(58, 222)(59, 212)(60, 224)(61, 214)(62, 218)(63, 216)(64, 220)(65, 229)(66, 233)(67, 231)(68, 235)(69, 225)(70, 237)(71, 227)(72, 239)(73, 226)(74, 238)(75, 228)(76, 240)(77, 230)(78, 234)(79, 232)(80, 236)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 80, 2, 80 ), ( 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 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 E19.1698
Graph:: bipartite
	v = 42 e = 160 f = 82
	degree seq :: [ 4^40, 80^2 ]

E19.1698 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 40, 40})
Quotient :: dipole
Aut^+ = C5 x (C8 : C2) (small group id <80, 24>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1 * Y3 * Y1^-2 * Y3 * Y1, (Y1 * Y3 * Y1^-1 * Y3)^2, Y1^-2 * Y3 * Y1^-17 * Y3 * Y1^-1, Y1^7 * Y3 * Y1^11 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 ]
Map::
	R = (1, 81, 2, 82, 5, 85, 11, 91, 20, 100, 29, 109, 37, 117, 45, 125, 53, 133, 61, 141, 69, 149, 77, 157, 73, 153, 65, 145, 57, 137, 49, 129, 41, 121, 33, 113, 25, 105, 16, 96, 24, 104, 15, 95, 23, 103, 32, 112, 40, 120, 48, 128, 56, 136, 64, 144, 72, 152, 80, 160, 76, 156, 68, 148, 60, 140, 52, 132, 44, 124, 36, 116, 28, 108, 19, 99, 10, 90, 4, 84)(3, 83, 7, 87, 12, 92, 22, 102, 30, 110, 39, 119, 46, 126, 55, 135, 62, 142, 71, 151, 78, 158, 75, 155, 67, 147, 59, 139, 51, 131, 43, 123, 35, 115, 27, 107, 18, 98, 9, 89, 14, 94, 6, 86, 13, 93, 21, 101, 31, 111, 38, 118, 47, 127, 54, 134, 63, 143, 70, 150, 79, 159, 74, 154, 66, 146, 58, 138, 50, 130, 42, 122, 34, 114, 26, 106, 17, 97, 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, 175)(8, 176)(9, 164)(10, 177)(11, 181)(12, 165)(13, 183)(14, 184)(15, 167)(16, 168)(17, 170)(18, 185)(19, 187)(20, 190)(21, 171)(22, 192)(23, 173)(24, 174)(25, 178)(26, 193)(27, 179)(28, 194)(29, 198)(30, 180)(31, 200)(32, 182)(33, 186)(34, 188)(35, 201)(36, 203)(37, 206)(38, 189)(39, 208)(40, 191)(41, 195)(42, 209)(43, 196)(44, 210)(45, 214)(46, 197)(47, 216)(48, 199)(49, 202)(50, 204)(51, 217)(52, 219)(53, 222)(54, 205)(55, 224)(56, 207)(57, 211)(58, 225)(59, 212)(60, 226)(61, 230)(62, 213)(63, 232)(64, 215)(65, 218)(66, 220)(67, 233)(68, 235)(69, 238)(70, 221)(71, 240)(72, 223)(73, 227)(74, 237)(75, 228)(76, 239)(77, 234)(78, 229)(79, 236)(80, 231)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 80 ), ( 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80 ) }
Outer automorphisms :: reflexible
Dual of E19.1697
Graph:: simple bipartite
	v = 82 e = 160 f = 42
	degree seq :: [ 2^80, 80^2 ]

E19.1699 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 9, 9})
Quotient :: edge
Aut^+ = (C9 x C3) : C3 (small group id <81, 3>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 17>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1 * T2^-2 * T1, T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1, T2^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 52, 61, 41, 15, 5)(2, 6, 17, 42, 62, 67, 49, 21, 7)(4, 11, 30, 53, 71, 73, 56, 34, 12)(8, 22, 50, 68, 76, 59, 39, 33, 23)(10, 27, 55, 70, 77, 60, 40, 19, 28)(13, 35, 31, 24, 51, 69, 74, 57, 36)(14, 37, 16, 26, 54, 72, 75, 58, 38)(18, 44, 64, 78, 81, 66, 48, 32, 45)(20, 46, 29, 43, 63, 79, 80, 65, 47)(82, 83, 85)(84, 89, 91)(86, 94, 95)(87, 97, 99)(88, 100, 101)(90, 105, 107)(92, 110, 112)(93, 113, 114)(96, 120, 121)(98, 108, 124)(102, 119, 129)(103, 111, 125)(104, 118, 127)(106, 123, 134)(109, 126, 116)(115, 128, 117)(122, 130, 137)(131, 135, 144)(132, 136, 145)(133, 149, 151)(138, 141, 147)(139, 146, 140)(142, 155, 156)(143, 153, 159)(148, 158, 161)(150, 152, 160)(154, 162, 157)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 18^3 ), ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E19.1700
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 81 f = 9
	degree seq :: [ 3^27, 9^9 ]

E19.1700 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 9, 9})
Quotient :: loop
Aut^+ = (C9 x C3) : C3 (small group id <81, 3>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 17>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1 * T2^-2 * T1, T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1, T2^9 ]
Map:: non-degenerate
	R = (1, 82, 3, 84, 9, 90, 25, 106, 52, 133, 61, 142, 41, 122, 15, 96, 5, 86)(2, 83, 6, 87, 17, 98, 42, 123, 62, 143, 67, 148, 49, 130, 21, 102, 7, 88)(4, 85, 11, 92, 30, 111, 53, 134, 71, 152, 73, 154, 56, 137, 34, 115, 12, 93)(8, 89, 22, 103, 50, 131, 68, 149, 76, 157, 59, 140, 39, 120, 33, 114, 23, 104)(10, 91, 27, 108, 55, 136, 70, 151, 77, 158, 60, 141, 40, 121, 19, 100, 28, 109)(13, 94, 35, 116, 31, 112, 24, 105, 51, 132, 69, 150, 74, 155, 57, 138, 36, 117)(14, 95, 37, 118, 16, 97, 26, 107, 54, 135, 72, 153, 75, 156, 58, 139, 38, 119)(18, 99, 44, 125, 64, 145, 78, 159, 81, 162, 66, 147, 48, 129, 32, 113, 45, 126)(20, 101, 46, 127, 29, 110, 43, 124, 63, 144, 79, 160, 80, 161, 65, 146, 47, 128)
	L = (1, 83)(2, 85)(3, 89)(4, 82)(5, 94)(6, 97)(7, 100)(8, 91)(9, 105)(10, 84)(11, 110)(12, 113)(13, 95)(14, 86)(15, 120)(16, 99)(17, 108)(18, 87)(19, 101)(20, 88)(21, 119)(22, 111)(23, 118)(24, 107)(25, 123)(26, 90)(27, 124)(28, 126)(29, 112)(30, 125)(31, 92)(32, 114)(33, 93)(34, 128)(35, 109)(36, 115)(37, 127)(38, 129)(39, 121)(40, 96)(41, 130)(42, 134)(43, 98)(44, 103)(45, 116)(46, 104)(47, 117)(48, 102)(49, 137)(50, 135)(51, 136)(52, 149)(53, 106)(54, 144)(55, 145)(56, 122)(57, 141)(58, 146)(59, 139)(60, 147)(61, 155)(62, 153)(63, 131)(64, 132)(65, 140)(66, 138)(67, 158)(68, 151)(69, 152)(70, 133)(71, 160)(72, 159)(73, 162)(74, 156)(75, 142)(76, 154)(77, 161)(78, 143)(79, 150)(80, 148)(81, 157)
	local type(s) :: { ( 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.1699
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 81 f = 36
	degree seq :: [ 18^9 ]

E19.1701 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 3>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y3^-1, Y3 * Y2^-2 * Y3 * Y2 * Y1^-1 * Y2, Y1 * Y2^2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-2, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2^9, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 82, 2, 83, 4, 85)(3, 84, 8, 89, 10, 91)(5, 86, 13, 94, 14, 95)(6, 87, 16, 97, 18, 99)(7, 88, 19, 100, 20, 101)(9, 90, 24, 105, 26, 107)(11, 92, 29, 110, 31, 112)(12, 93, 32, 113, 33, 114)(15, 96, 39, 120, 40, 121)(17, 98, 27, 108, 43, 124)(21, 102, 38, 119, 48, 129)(22, 103, 30, 111, 44, 125)(23, 104, 37, 118, 46, 127)(25, 106, 42, 123, 53, 134)(28, 109, 45, 126, 35, 116)(34, 115, 47, 128, 36, 117)(41, 122, 49, 130, 56, 137)(50, 131, 54, 135, 63, 144)(51, 132, 55, 136, 64, 145)(52, 133, 68, 149, 70, 151)(57, 138, 60, 141, 66, 147)(58, 139, 65, 146, 59, 140)(61, 142, 74, 155, 75, 156)(62, 143, 72, 153, 78, 159)(67, 148, 77, 158, 80, 161)(69, 150, 71, 152, 79, 160)(73, 154, 81, 162, 76, 157)(163, 244, 165, 246, 171, 252, 187, 268, 214, 295, 223, 304, 203, 284, 177, 258, 167, 248)(164, 245, 168, 249, 179, 260, 204, 285, 224, 305, 229, 310, 211, 292, 183, 264, 169, 250)(166, 247, 173, 254, 192, 273, 215, 296, 233, 314, 235, 316, 218, 299, 196, 277, 174, 255)(170, 251, 184, 265, 212, 293, 230, 311, 238, 319, 221, 302, 201, 282, 195, 276, 185, 266)(172, 253, 189, 270, 217, 298, 232, 313, 239, 320, 222, 303, 202, 283, 181, 262, 190, 271)(175, 256, 197, 278, 193, 274, 186, 267, 213, 294, 231, 312, 236, 317, 219, 300, 198, 279)(176, 257, 199, 280, 178, 259, 188, 269, 216, 297, 234, 315, 237, 318, 220, 301, 200, 281)(180, 261, 206, 287, 226, 307, 240, 321, 243, 324, 228, 309, 210, 291, 194, 275, 207, 288)(182, 263, 208, 289, 191, 272, 205, 286, 225, 306, 241, 322, 242, 323, 227, 308, 209, 290)
	L = (1, 166)(2, 163)(3, 172)(4, 164)(5, 176)(6, 180)(7, 182)(8, 165)(9, 188)(10, 170)(11, 193)(12, 195)(13, 167)(14, 175)(15, 202)(16, 168)(17, 205)(18, 178)(19, 169)(20, 181)(21, 210)(22, 206)(23, 208)(24, 171)(25, 215)(26, 186)(27, 179)(28, 197)(29, 173)(30, 184)(31, 191)(32, 174)(33, 194)(34, 198)(35, 207)(36, 209)(37, 185)(38, 183)(39, 177)(40, 201)(41, 218)(42, 187)(43, 189)(44, 192)(45, 190)(46, 199)(47, 196)(48, 200)(49, 203)(50, 225)(51, 226)(52, 232)(53, 204)(54, 212)(55, 213)(56, 211)(57, 228)(58, 221)(59, 227)(60, 219)(61, 237)(62, 240)(63, 216)(64, 217)(65, 220)(66, 222)(67, 242)(68, 214)(69, 241)(70, 230)(71, 231)(72, 224)(73, 238)(74, 223)(75, 236)(76, 243)(77, 229)(78, 234)(79, 233)(80, 239)(81, 235)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1702
Graph:: bipartite
	v = 36 e = 162 f = 90
	degree seq :: [ 6^27, 18^9 ]

E19.1702 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 3>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 17>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3^-1, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1, Y1^9 ]
Map::
	R = (1, 82, 2, 83, 6, 87, 16, 97, 42, 123, 58, 139, 32, 113, 12, 93, 4, 85)(3, 84, 9, 90, 23, 104, 43, 124, 64, 145, 70, 151, 53, 134, 27, 108, 10, 91)(5, 86, 14, 95, 36, 117, 44, 125, 65, 146, 76, 157, 59, 140, 40, 121, 15, 96)(7, 88, 19, 100, 47, 128, 62, 143, 74, 155, 57, 138, 31, 112, 41, 122, 20, 101)(8, 89, 21, 102, 50, 131, 63, 144, 77, 158, 60, 141, 33, 114, 26, 107, 22, 103)(11, 92, 29, 110, 38, 119, 17, 98, 45, 126, 66, 147, 73, 154, 56, 137, 30, 111)(13, 94, 34, 115, 24, 105, 18, 99, 46, 127, 68, 149, 75, 156, 61, 142, 35, 116)(25, 106, 48, 129, 67, 148, 78, 159, 81, 162, 71, 152, 54, 135, 39, 120, 52, 133)(28, 109, 49, 130, 37, 118, 51, 132, 69, 150, 79, 160, 80, 161, 72, 153, 55, 136)(163, 244)(164, 245)(165, 246)(166, 247)(167, 248)(168, 249)(169, 250)(170, 251)(171, 252)(172, 253)(173, 254)(174, 255)(175, 256)(176, 257)(177, 258)(178, 259)(179, 260)(180, 261)(181, 262)(182, 263)(183, 264)(184, 265)(185, 266)(186, 267)(187, 268)(188, 269)(189, 270)(190, 271)(191, 272)(192, 273)(193, 274)(194, 275)(195, 276)(196, 277)(197, 278)(198, 279)(199, 280)(200, 281)(201, 282)(202, 283)(203, 284)(204, 285)(205, 286)(206, 287)(207, 288)(208, 289)(209, 290)(210, 291)(211, 292)(212, 293)(213, 294)(214, 295)(215, 296)(216, 297)(217, 298)(218, 299)(219, 300)(220, 301)(221, 302)(222, 303)(223, 304)(224, 305)(225, 306)(226, 307)(227, 308)(228, 309)(229, 310)(230, 311)(231, 312)(232, 313)(233, 314)(234, 315)(235, 316)(236, 317)(237, 318)(238, 319)(239, 320)(240, 321)(241, 322)(242, 323)(243, 324)
	L = (1, 165)(2, 169)(3, 167)(4, 173)(5, 163)(6, 179)(7, 170)(8, 164)(9, 186)(10, 188)(11, 175)(12, 193)(13, 166)(14, 199)(15, 201)(16, 205)(17, 180)(18, 168)(19, 198)(20, 196)(21, 213)(22, 214)(23, 183)(24, 187)(25, 171)(26, 190)(27, 197)(28, 172)(29, 184)(30, 202)(31, 195)(32, 215)(33, 174)(34, 211)(35, 216)(36, 210)(37, 200)(38, 176)(39, 203)(40, 217)(41, 177)(42, 224)(43, 206)(44, 178)(45, 212)(46, 231)(47, 208)(48, 181)(49, 182)(50, 229)(51, 185)(52, 191)(53, 221)(54, 189)(55, 192)(56, 222)(57, 223)(58, 235)(59, 194)(60, 233)(61, 234)(62, 225)(63, 204)(64, 230)(65, 241)(66, 227)(67, 207)(68, 240)(69, 209)(70, 239)(71, 218)(72, 219)(73, 237)(74, 238)(75, 220)(76, 243)(77, 242)(78, 226)(79, 228)(80, 232)(81, 236)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 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 E19.1701
Graph:: simple bipartite
	v = 90 e = 162 f = 36
	degree seq :: [ 2^81, 18^9 ]

E19.1703 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 9, 9})
Quotient :: edge
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^3, (T1, T2, T1^-1), T2^3 * T1 * T2^-3 * T1^-1, T1 * T2 * T1 * T2 * T1 * T2^4, T2^9, (T1 * T2^2)^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 59, 75, 39, 15, 5)(2, 6, 17, 43, 72, 81, 51, 21, 7)(4, 11, 29, 60, 78, 52, 70, 33, 12)(8, 22, 53, 67, 32, 66, 37, 56, 23)(10, 19, 46, 77, 42, 74, 38, 62, 27)(13, 34, 58, 24, 57, 69, 76, 61, 30)(14, 35, 49, 26, 41, 16, 40, 73, 36)(18, 31, 65, 71, 64, 80, 50, 54, 45)(20, 47, 68, 44, 55, 28, 63, 79, 48)(82, 83, 85)(84, 89, 91)(86, 94, 95)(87, 97, 99)(88, 100, 101)(90, 105, 107)(92, 109, 111)(93, 112, 113)(96, 118, 119)(98, 123, 125)(102, 130, 131)(103, 133, 135)(104, 122, 136)(106, 124, 141)(108, 126, 142)(110, 145, 137)(114, 149, 150)(115, 127, 146)(116, 128, 147)(117, 152, 153)(120, 132, 151)(121, 156, 157)(129, 139, 159)(134, 154, 160)(138, 155, 161)(140, 148, 158)(143, 144, 162)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 18^3 ), ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E19.1705
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 81 f = 9
	degree seq :: [ 3^27, 9^9 ]

E19.1704 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 9, 9})
Quotient :: edge
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T1 * T2^-1)^3, T2^-2 * T1 * T2 * T1 * T2 * T1, (T1 * T2^2)^3, T2^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 55, 67, 39, 15, 5)(2, 6, 17, 41, 69, 71, 48, 21, 7)(4, 11, 29, 56, 76, 79, 62, 33, 12)(8, 22, 49, 72, 80, 64, 37, 32, 23)(10, 19, 44, 68, 40, 66, 38, 58, 27)(13, 34, 54, 24, 53, 61, 78, 59, 30)(14, 35, 16, 26, 51, 74, 81, 65, 36)(18, 31, 60, 73, 50, 57, 47, 70, 43)(20, 45, 28, 42, 63, 77, 75, 52, 46)(82, 83, 85)(84, 89, 91)(86, 94, 95)(87, 97, 99)(88, 100, 101)(90, 105, 107)(92, 109, 111)(93, 112, 113)(96, 118, 119)(98, 121, 123)(102, 117, 128)(103, 110, 131)(104, 132, 133)(106, 122, 137)(108, 138, 115)(114, 127, 142)(116, 144, 145)(120, 129, 143)(124, 134, 125)(126, 130, 146)(135, 157, 158)(136, 153, 149)(139, 156, 152)(140, 147, 141)(148, 159, 162)(150, 155, 154)(151, 161, 160)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 18^3 ), ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E19.1706
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 81 f = 9
	degree seq :: [ 3^27, 9^9 ]

E19.1705 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 9, 9})
Quotient :: loop
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^3, (T1, T2, T1^-1), T2^3 * T1 * T2^-3 * T1^-1, T1 * T2 * T1 * T2 * T1 * T2^4, T2^9, (T1 * T2^2)^3 ]
Map:: non-degenerate
	R = (1, 82, 3, 84, 9, 90, 25, 106, 59, 140, 75, 156, 39, 120, 15, 96, 5, 86)(2, 83, 6, 87, 17, 98, 43, 124, 72, 153, 81, 162, 51, 132, 21, 102, 7, 88)(4, 85, 11, 92, 29, 110, 60, 141, 78, 159, 52, 133, 70, 151, 33, 114, 12, 93)(8, 89, 22, 103, 53, 134, 67, 148, 32, 113, 66, 147, 37, 118, 56, 137, 23, 104)(10, 91, 19, 100, 46, 127, 77, 158, 42, 123, 74, 155, 38, 119, 62, 143, 27, 108)(13, 94, 34, 115, 58, 139, 24, 105, 57, 138, 69, 150, 76, 157, 61, 142, 30, 111)(14, 95, 35, 116, 49, 130, 26, 107, 41, 122, 16, 97, 40, 121, 73, 154, 36, 117)(18, 99, 31, 112, 65, 146, 71, 152, 64, 145, 80, 161, 50, 131, 54, 135, 45, 126)(20, 101, 47, 128, 68, 149, 44, 125, 55, 136, 28, 109, 63, 144, 79, 160, 48, 129)
	L = (1, 83)(2, 85)(3, 89)(4, 82)(5, 94)(6, 97)(7, 100)(8, 91)(9, 105)(10, 84)(11, 109)(12, 112)(13, 95)(14, 86)(15, 118)(16, 99)(17, 123)(18, 87)(19, 101)(20, 88)(21, 130)(22, 133)(23, 122)(24, 107)(25, 124)(26, 90)(27, 126)(28, 111)(29, 145)(30, 92)(31, 113)(32, 93)(33, 149)(34, 127)(35, 128)(36, 152)(37, 119)(38, 96)(39, 132)(40, 156)(41, 136)(42, 125)(43, 141)(44, 98)(45, 142)(46, 146)(47, 147)(48, 139)(49, 131)(50, 102)(51, 151)(52, 135)(53, 154)(54, 103)(55, 104)(56, 110)(57, 155)(58, 159)(59, 148)(60, 106)(61, 108)(62, 144)(63, 162)(64, 137)(65, 115)(66, 116)(67, 158)(68, 150)(69, 114)(70, 120)(71, 153)(72, 117)(73, 160)(74, 161)(75, 157)(76, 121)(77, 140)(78, 129)(79, 134)(80, 138)(81, 143)
	local type(s) :: { ( 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.1703
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 81 f = 36
	degree seq :: [ 18^9 ]

E19.1706 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 9, 9})
Quotient :: loop
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T1 * T2^-1)^3, T2^-2 * T1 * T2 * T1 * T2 * T1, (T1 * T2^2)^3, T2^9 ]
Map:: non-degenerate
	R = (1, 82, 3, 84, 9, 90, 25, 106, 55, 136, 67, 148, 39, 120, 15, 96, 5, 86)(2, 83, 6, 87, 17, 98, 41, 122, 69, 150, 71, 152, 48, 129, 21, 102, 7, 88)(4, 85, 11, 92, 29, 110, 56, 137, 76, 157, 79, 160, 62, 143, 33, 114, 12, 93)(8, 89, 22, 103, 49, 130, 72, 153, 80, 161, 64, 145, 37, 118, 32, 113, 23, 104)(10, 91, 19, 100, 44, 125, 68, 149, 40, 121, 66, 147, 38, 119, 58, 139, 27, 108)(13, 94, 34, 115, 54, 135, 24, 105, 53, 134, 61, 142, 78, 159, 59, 140, 30, 111)(14, 95, 35, 116, 16, 97, 26, 107, 51, 132, 74, 155, 81, 162, 65, 146, 36, 117)(18, 99, 31, 112, 60, 141, 73, 154, 50, 131, 57, 138, 47, 128, 70, 151, 43, 124)(20, 101, 45, 126, 28, 109, 42, 123, 63, 144, 77, 158, 75, 156, 52, 133, 46, 127)
	L = (1, 83)(2, 85)(3, 89)(4, 82)(5, 94)(6, 97)(7, 100)(8, 91)(9, 105)(10, 84)(11, 109)(12, 112)(13, 95)(14, 86)(15, 118)(16, 99)(17, 121)(18, 87)(19, 101)(20, 88)(21, 117)(22, 110)(23, 132)(24, 107)(25, 122)(26, 90)(27, 138)(28, 111)(29, 131)(30, 92)(31, 113)(32, 93)(33, 127)(34, 108)(35, 144)(36, 128)(37, 119)(38, 96)(39, 129)(40, 123)(41, 137)(42, 98)(43, 134)(44, 124)(45, 130)(46, 142)(47, 102)(48, 143)(49, 146)(50, 103)(51, 133)(52, 104)(53, 125)(54, 157)(55, 153)(56, 106)(57, 115)(58, 156)(59, 147)(60, 140)(61, 114)(62, 120)(63, 145)(64, 116)(65, 126)(66, 141)(67, 159)(68, 136)(69, 155)(70, 161)(71, 139)(72, 149)(73, 150)(74, 154)(75, 152)(76, 158)(77, 135)(78, 162)(79, 151)(80, 160)(81, 148)
	local type(s) :: { ( 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.1704
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 81 f = 36
	degree seq :: [ 18^9 ]

E19.1707 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y3^-2, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1, Y2^3 * Y1 * Y2^-3 * Y1^-1, Y3 * Y2^3 * Y3^-1 * Y2^-3, Y3^-1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y1 * Y2 * Y1 * Y2^4 * Y1 * Y2, Y2^9, Y2 * Y1 * Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 82, 2, 83, 4, 85)(3, 84, 8, 89, 10, 91)(5, 86, 13, 94, 14, 95)(6, 87, 16, 97, 18, 99)(7, 88, 19, 100, 20, 101)(9, 90, 24, 105, 26, 107)(11, 92, 28, 109, 30, 111)(12, 93, 31, 112, 32, 113)(15, 96, 37, 118, 38, 119)(17, 98, 42, 123, 44, 125)(21, 102, 49, 130, 50, 131)(22, 103, 52, 133, 54, 135)(23, 104, 41, 122, 55, 136)(25, 106, 43, 124, 60, 141)(27, 108, 45, 126, 61, 142)(29, 110, 64, 145, 56, 137)(33, 114, 68, 149, 69, 150)(34, 115, 46, 127, 65, 146)(35, 116, 47, 128, 66, 147)(36, 117, 71, 152, 72, 153)(39, 120, 51, 132, 70, 151)(40, 121, 75, 156, 76, 157)(48, 129, 58, 139, 78, 159)(53, 134, 73, 154, 79, 160)(57, 138, 74, 155, 80, 161)(59, 140, 67, 148, 77, 158)(62, 143, 63, 144, 81, 162)(163, 244, 165, 246, 171, 252, 187, 268, 221, 302, 237, 318, 201, 282, 177, 258, 167, 248)(164, 245, 168, 249, 179, 260, 205, 286, 234, 315, 243, 324, 213, 294, 183, 264, 169, 250)(166, 247, 173, 254, 191, 272, 222, 303, 240, 321, 214, 295, 232, 313, 195, 276, 174, 255)(170, 251, 184, 265, 215, 296, 229, 310, 194, 275, 228, 309, 199, 280, 218, 299, 185, 266)(172, 253, 181, 262, 208, 289, 239, 320, 204, 285, 236, 317, 200, 281, 224, 305, 189, 270)(175, 256, 196, 277, 220, 301, 186, 267, 219, 300, 231, 312, 238, 319, 223, 304, 192, 273)(176, 257, 197, 278, 211, 292, 188, 269, 203, 284, 178, 259, 202, 283, 235, 316, 198, 279)(180, 261, 193, 274, 227, 308, 233, 314, 226, 307, 242, 323, 212, 293, 216, 297, 207, 288)(182, 263, 209, 290, 230, 311, 206, 287, 217, 298, 190, 271, 225, 306, 241, 322, 210, 291)
	L = (1, 166)(2, 163)(3, 172)(4, 164)(5, 176)(6, 180)(7, 182)(8, 165)(9, 188)(10, 170)(11, 192)(12, 194)(13, 167)(14, 175)(15, 200)(16, 168)(17, 206)(18, 178)(19, 169)(20, 181)(21, 212)(22, 216)(23, 217)(24, 171)(25, 222)(26, 186)(27, 223)(28, 173)(29, 218)(30, 190)(31, 174)(32, 193)(33, 231)(34, 227)(35, 228)(36, 234)(37, 177)(38, 199)(39, 232)(40, 238)(41, 185)(42, 179)(43, 187)(44, 204)(45, 189)(46, 196)(47, 197)(48, 240)(49, 183)(50, 211)(51, 201)(52, 184)(53, 241)(54, 214)(55, 203)(56, 226)(57, 242)(58, 210)(59, 239)(60, 205)(61, 207)(62, 243)(63, 224)(64, 191)(65, 208)(66, 209)(67, 221)(68, 195)(69, 230)(70, 213)(71, 198)(72, 233)(73, 215)(74, 219)(75, 202)(76, 237)(77, 229)(78, 220)(79, 235)(80, 236)(81, 225)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1709
Graph:: bipartite
	v = 36 e = 162 f = 90
	degree seq :: [ 6^27, 18^9 ]

E19.1708 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3^2 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, R * Y2 * Y1 * R * Y2 * Y3^-1, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-2 * Y3^-1 * Y2 * Y3^-1, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-2, (Y2^-2 * R * Y2^-1)^2, Y2^9, Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 ]
Map::
	R = (1, 82, 2, 83, 4, 85)(3, 84, 8, 89, 10, 91)(5, 86, 13, 94, 14, 95)(6, 87, 16, 97, 18, 99)(7, 88, 19, 100, 20, 101)(9, 90, 24, 105, 26, 107)(11, 92, 28, 109, 30, 111)(12, 93, 31, 112, 32, 113)(15, 96, 37, 118, 38, 119)(17, 98, 40, 121, 42, 123)(21, 102, 36, 117, 47, 128)(22, 103, 29, 110, 50, 131)(23, 104, 51, 132, 52, 133)(25, 106, 41, 122, 56, 137)(27, 108, 57, 138, 34, 115)(33, 114, 46, 127, 61, 142)(35, 116, 63, 144, 64, 145)(39, 120, 48, 129, 62, 143)(43, 124, 53, 134, 44, 125)(45, 126, 49, 130, 65, 146)(54, 135, 76, 157, 77, 158)(55, 136, 72, 153, 68, 149)(58, 139, 75, 156, 71, 152)(59, 140, 66, 147, 60, 141)(67, 148, 78, 159, 81, 162)(69, 150, 74, 155, 73, 154)(70, 151, 80, 161, 79, 160)(163, 244, 165, 246, 171, 252, 187, 268, 217, 298, 229, 310, 201, 282, 177, 258, 167, 248)(164, 245, 168, 249, 179, 260, 203, 284, 231, 312, 233, 314, 210, 291, 183, 264, 169, 250)(166, 247, 173, 254, 191, 272, 218, 299, 238, 319, 241, 322, 224, 305, 195, 276, 174, 255)(170, 251, 184, 265, 211, 292, 234, 315, 242, 323, 226, 307, 199, 280, 194, 275, 185, 266)(172, 253, 181, 262, 206, 287, 230, 311, 202, 283, 228, 309, 200, 281, 220, 301, 189, 270)(175, 256, 196, 277, 216, 297, 186, 267, 215, 296, 223, 304, 240, 321, 221, 302, 192, 273)(176, 257, 197, 278, 178, 259, 188, 269, 213, 294, 236, 317, 243, 324, 227, 308, 198, 279)(180, 261, 193, 274, 222, 303, 235, 316, 212, 293, 219, 300, 209, 290, 232, 313, 205, 286)(182, 263, 207, 288, 190, 271, 204, 285, 225, 306, 239, 320, 237, 318, 214, 295, 208, 289)
	L = (1, 166)(2, 163)(3, 172)(4, 164)(5, 176)(6, 180)(7, 182)(8, 165)(9, 188)(10, 170)(11, 192)(12, 194)(13, 167)(14, 175)(15, 200)(16, 168)(17, 204)(18, 178)(19, 169)(20, 181)(21, 209)(22, 212)(23, 214)(24, 171)(25, 218)(26, 186)(27, 196)(28, 173)(29, 184)(30, 190)(31, 174)(32, 193)(33, 223)(34, 219)(35, 226)(36, 183)(37, 177)(38, 199)(39, 224)(40, 179)(41, 187)(42, 202)(43, 206)(44, 215)(45, 227)(46, 195)(47, 198)(48, 201)(49, 207)(50, 191)(51, 185)(52, 213)(53, 205)(54, 239)(55, 230)(56, 203)(57, 189)(58, 233)(59, 222)(60, 228)(61, 208)(62, 210)(63, 197)(64, 225)(65, 211)(66, 221)(67, 243)(68, 234)(69, 235)(70, 241)(71, 237)(72, 217)(73, 236)(74, 231)(75, 220)(76, 216)(77, 238)(78, 229)(79, 242)(80, 232)(81, 240)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1710
Graph:: bipartite
	v = 36 e = 162 f = 90
	degree seq :: [ 6^27, 18^9 ]

E19.1709 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3)^3, Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^3 * Y3^-1 * Y1^-2, Y3 * Y1^4 * Y3 * Y1 * Y3 * Y1, Y1^9, (Y1^2 * Y3)^3 ]
Map::
	R = (1, 82, 2, 83, 6, 87, 16, 97, 40, 121, 65, 146, 31, 112, 12, 93, 4, 85)(3, 84, 9, 90, 23, 104, 41, 122, 70, 151, 80, 161, 59, 140, 26, 107, 10, 91)(5, 86, 14, 95, 35, 116, 42, 123, 77, 158, 48, 129, 66, 147, 38, 119, 15, 96)(7, 88, 19, 100, 47, 128, 75, 156, 39, 120, 64, 145, 30, 111, 50, 131, 20, 101)(8, 89, 21, 102, 52, 133, 76, 157, 56, 137, 67, 148, 32, 113, 54, 135, 22, 103)(11, 92, 28, 109, 44, 125, 17, 98, 43, 124, 74, 155, 81, 162, 55, 136, 29, 110)(13, 94, 33, 114, 46, 127, 18, 99, 45, 126, 24, 105, 58, 139, 69, 150, 34, 115)(25, 106, 37, 118, 63, 144, 68, 149, 71, 152, 78, 159, 60, 141, 49, 130, 53, 134)(27, 108, 61, 142, 73, 154, 57, 138, 51, 132, 36, 117, 72, 153, 79, 160, 62, 143)(163, 244)(164, 245)(165, 246)(166, 247)(167, 248)(168, 249)(169, 250)(170, 251)(171, 252)(172, 253)(173, 254)(174, 255)(175, 256)(176, 257)(177, 258)(178, 259)(179, 260)(180, 261)(181, 262)(182, 263)(183, 264)(184, 265)(185, 266)(186, 267)(187, 268)(188, 269)(189, 270)(190, 271)(191, 272)(192, 273)(193, 274)(194, 275)(195, 276)(196, 277)(197, 278)(198, 279)(199, 280)(200, 281)(201, 282)(202, 283)(203, 284)(204, 285)(205, 286)(206, 287)(207, 288)(208, 289)(209, 290)(210, 291)(211, 292)(212, 293)(213, 294)(214, 295)(215, 296)(216, 297)(217, 298)(218, 299)(219, 300)(220, 301)(221, 302)(222, 303)(223, 304)(224, 305)(225, 306)(226, 307)(227, 308)(228, 309)(229, 310)(230, 311)(231, 312)(232, 313)(233, 314)(234, 315)(235, 316)(236, 317)(237, 318)(238, 319)(239, 320)(240, 321)(241, 322)(242, 323)(243, 324)
	L = (1, 165)(2, 169)(3, 167)(4, 173)(5, 163)(6, 179)(7, 170)(8, 164)(9, 186)(10, 183)(11, 175)(12, 192)(13, 166)(14, 198)(15, 199)(16, 203)(17, 180)(18, 168)(19, 210)(20, 207)(21, 189)(22, 215)(23, 218)(24, 187)(25, 171)(26, 208)(27, 172)(28, 214)(29, 176)(30, 194)(31, 221)(32, 174)(33, 223)(34, 230)(35, 233)(36, 191)(37, 201)(38, 235)(39, 177)(40, 237)(41, 204)(42, 178)(43, 229)(44, 239)(45, 213)(46, 222)(47, 231)(48, 211)(49, 181)(50, 197)(51, 182)(52, 225)(53, 217)(54, 234)(55, 184)(56, 219)(57, 185)(58, 227)(59, 228)(60, 188)(61, 226)(62, 206)(63, 190)(64, 195)(65, 243)(66, 193)(67, 240)(68, 232)(69, 241)(70, 196)(71, 212)(72, 242)(73, 236)(74, 200)(75, 238)(76, 202)(77, 224)(78, 205)(79, 209)(80, 216)(81, 220)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1707
Graph:: simple bipartite
	v = 90 e = 162 f = 36
	degree seq :: [ 2^81, 18^9 ]

E19.1710 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1)^3, (Y3 * Y2^-1)^3, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1, (Y3 * Y1^2)^3, Y1^9 ]
Map::
	R = (1, 82, 2, 83, 6, 87, 16, 97, 40, 121, 61, 142, 31, 112, 12, 93, 4, 85)(3, 84, 9, 90, 23, 104, 41, 122, 70, 151, 76, 157, 55, 136, 26, 107, 10, 91)(5, 86, 14, 95, 35, 116, 42, 123, 71, 152, 81, 162, 62, 143, 38, 119, 15, 96)(7, 88, 19, 100, 46, 127, 68, 149, 79, 160, 60, 141, 30, 111, 39, 120, 20, 101)(8, 89, 21, 102, 49, 130, 69, 150, 52, 133, 63, 144, 32, 113, 51, 132, 22, 103)(11, 92, 28, 109, 44, 125, 17, 98, 43, 124, 67, 148, 78, 159, 59, 140, 29, 110)(13, 94, 33, 114, 24, 105, 18, 99, 45, 126, 73, 154, 80, 161, 65, 146, 34, 115)(25, 106, 37, 118, 66, 147, 74, 155, 47, 128, 50, 131, 56, 137, 77, 158, 54, 135)(27, 108, 57, 138, 36, 117, 53, 134, 64, 145, 72, 153, 75, 156, 48, 129, 58, 139)(163, 244)(164, 245)(165, 246)(166, 247)(167, 248)(168, 249)(169, 250)(170, 251)(171, 252)(172, 253)(173, 254)(174, 255)(175, 256)(176, 257)(177, 258)(178, 259)(179, 260)(180, 261)(181, 262)(182, 263)(183, 264)(184, 265)(185, 266)(186, 267)(187, 268)(188, 269)(189, 270)(190, 271)(191, 272)(192, 273)(193, 274)(194, 275)(195, 276)(196, 277)(197, 278)(198, 279)(199, 280)(200, 281)(201, 282)(202, 283)(203, 284)(204, 285)(205, 286)(206, 287)(207, 288)(208, 289)(209, 290)(210, 291)(211, 292)(212, 293)(213, 294)(214, 295)(215, 296)(216, 297)(217, 298)(218, 299)(219, 300)(220, 301)(221, 302)(222, 303)(223, 304)(224, 305)(225, 306)(226, 307)(227, 308)(228, 309)(229, 310)(230, 311)(231, 312)(232, 313)(233, 314)(234, 315)(235, 316)(236, 317)(237, 318)(238, 319)(239, 320)(240, 321)(241, 322)(242, 323)(243, 324)
	L = (1, 165)(2, 169)(3, 167)(4, 173)(5, 163)(6, 179)(7, 170)(8, 164)(9, 186)(10, 183)(11, 175)(12, 192)(13, 166)(14, 198)(15, 199)(16, 203)(17, 180)(18, 168)(19, 197)(20, 207)(21, 189)(22, 212)(23, 214)(24, 187)(25, 171)(26, 196)(27, 172)(28, 184)(29, 176)(30, 194)(31, 217)(32, 174)(33, 226)(34, 218)(35, 209)(36, 191)(37, 201)(38, 220)(39, 177)(40, 230)(41, 204)(42, 178)(43, 211)(44, 233)(45, 210)(46, 227)(47, 181)(48, 182)(49, 216)(50, 190)(51, 237)(52, 215)(53, 185)(54, 205)(55, 224)(56, 188)(57, 208)(58, 229)(59, 225)(60, 195)(61, 240)(62, 193)(63, 228)(64, 222)(65, 219)(66, 221)(67, 200)(68, 231)(69, 202)(70, 235)(71, 234)(72, 206)(73, 236)(74, 232)(75, 238)(76, 213)(77, 241)(78, 242)(79, 243)(80, 223)(81, 239)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1708
Graph:: simple bipartite
	v = 90 e = 162 f = 36
	degree seq :: [ 2^81, 18^9 ]

E19.1711 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 9, 9})
Quotient :: edge
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1, T2^2 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2, T2^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 62, 79, 41, 15, 5)(2, 6, 17, 45, 78, 66, 55, 21, 7)(4, 11, 30, 63, 77, 56, 76, 34, 12)(8, 22, 57, 74, 33, 73, 39, 59, 23)(10, 27, 65, 50, 19, 49, 40, 44, 28)(13, 35, 61, 24, 60, 31, 71, 68, 36)(14, 37, 53, 26, 43, 16, 42, 58, 38)(18, 47, 81, 72, 32, 67, 54, 70, 48)(20, 51, 75, 46, 69, 29, 64, 80, 52)(82, 83, 85)(84, 89, 91)(86, 94, 95)(87, 97, 99)(88, 100, 101)(90, 105, 107)(92, 110, 112)(93, 113, 114)(96, 120, 121)(98, 125, 127)(102, 134, 135)(103, 137, 128)(104, 139, 132)(106, 126, 144)(108, 145, 147)(109, 148, 149)(111, 151, 140)(115, 156, 142)(116, 146, 129)(117, 158, 133)(118, 150, 138)(119, 153, 159)(122, 136, 157)(123, 160, 152)(124, 161, 154)(130, 162, 141)(131, 143, 155)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 18^3 ), ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E19.1717
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 81 f = 9
	degree seq :: [ 3^27, 9^9 ]

E19.1712 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 9, 9})
Quotient :: edge
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2 * T1 * T2 * T1, T2 * T1 * T2 * T1 * T2^-2 * T1, T2^-1 * T1^-1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2^-1, T2^9, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 59, 75, 41, 15, 5)(2, 6, 17, 43, 76, 64, 52, 21, 7)(4, 11, 30, 60, 70, 78, 69, 34, 12)(8, 22, 53, 79, 77, 74, 39, 33, 23)(10, 27, 63, 48, 19, 47, 40, 42, 28)(13, 35, 58, 24, 57, 31, 66, 72, 36)(14, 37, 16, 26, 61, 81, 80, 55, 38)(18, 45, 65, 68, 32, 67, 51, 54, 46)(20, 49, 29, 44, 56, 71, 62, 73, 50)(82, 83, 85)(84, 89, 91)(86, 94, 95)(87, 97, 99)(88, 100, 101)(90, 105, 107)(92, 110, 112)(93, 113, 114)(96, 120, 121)(98, 123, 125)(102, 119, 132)(103, 111, 135)(104, 136, 137)(106, 124, 141)(108, 143, 145)(109, 146, 116)(115, 131, 139)(117, 151, 152)(118, 154, 134)(122, 133, 150)(126, 158, 159)(127, 153, 128)(129, 140, 160)(130, 155, 142)(138, 144, 148)(147, 161, 156)(149, 157, 162)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 18^3 ), ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E19.1716
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 81 f = 9
	degree seq :: [ 3^27, 9^9 ]

E19.1713 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 9, 9})
Quotient :: edge
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1, T2 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1 * T2, T1 * T2 * T1 * T2 * T1 * T2^4, T2^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 59, 75, 41, 15, 5)(2, 6, 17, 44, 72, 79, 52, 21, 7)(4, 11, 30, 60, 78, 53, 69, 34, 12)(8, 22, 54, 67, 33, 66, 39, 57, 23)(10, 27, 61, 80, 81, 74, 40, 19, 28)(13, 35, 31, 24, 58, 77, 76, 63, 36)(14, 37, 50, 26, 43, 16, 42, 73, 38)(18, 46, 62, 71, 55, 70, 51, 32, 47)(20, 48, 68, 45, 65, 29, 64, 56, 49)(82, 83, 85)(84, 89, 91)(86, 94, 95)(87, 97, 99)(88, 100, 101)(90, 105, 107)(92, 110, 112)(93, 113, 114)(96, 120, 121)(98, 108, 126)(102, 131, 132)(103, 134, 136)(104, 118, 137)(106, 125, 141)(109, 143, 144)(111, 127, 138)(115, 149, 117)(116, 142, 151)(119, 152, 153)(122, 133, 150)(123, 156, 157)(124, 129, 135)(128, 139, 155)(130, 158, 159)(140, 148, 161)(145, 160, 162)(146, 147, 154)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 18^3 ), ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E19.1715
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 81 f = 9
	degree seq :: [ 3^27, 9^9 ]

E19.1714 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 9, 9})
Quotient :: edge
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^3 * T2^-3, (T2^-1 * T1^-1)^3, T2^3 * T1^-3, T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2, (T1^-1, T2, T1), T2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1, T2^3 * T1^6, T1^-1 * T2^2 * T1^-1 * T2^2 * T1^2 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 47, 75, 37, 17, 5)(2, 7, 22, 46, 76, 38, 13, 26, 8)(4, 12, 20, 6, 19, 49, 74, 40, 14)(9, 28, 62, 79, 51, 71, 33, 65, 29)(11, 32, 61, 27, 24, 58, 45, 54, 34)(15, 41, 68, 30, 67, 36, 44, 78, 42)(16, 43, 70, 31, 69, 56, 66, 53, 21)(23, 39, 77, 52, 50, 81, 60, 63, 57)(25, 59, 73, 55, 64, 35, 72, 80, 48)(82, 83, 87, 99, 127, 155, 118, 94, 85)(84, 90, 108, 128, 160, 126, 98, 114, 92)(86, 96, 112, 91, 111, 147, 156, 125, 97)(88, 102, 133, 157, 151, 141, 107, 137, 104)(89, 105, 136, 103, 135, 153, 119, 113, 106)(93, 116, 123, 100, 129, 149, 121, 154, 117)(95, 120, 132, 101, 131, 146, 130, 144, 109)(110, 134, 161, 143, 124, 140, 152, 150, 145)(115, 138, 159, 142, 158, 122, 139, 162, 148)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 6^9 ) }
Outer automorphisms :: reflexible
Dual of E19.1718
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 81 f = 27
	degree seq :: [ 9^18 ]

E19.1715 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 9, 9})
Quotient :: loop
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1, T2^2 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2, T2^9 ]
Map:: non-degenerate
	R = (1, 82, 3, 84, 9, 90, 25, 106, 62, 143, 79, 160, 41, 122, 15, 96, 5, 86)(2, 83, 6, 87, 17, 98, 45, 126, 78, 159, 66, 147, 55, 136, 21, 102, 7, 88)(4, 85, 11, 92, 30, 111, 63, 144, 77, 158, 56, 137, 76, 157, 34, 115, 12, 93)(8, 89, 22, 103, 57, 138, 74, 155, 33, 114, 73, 154, 39, 120, 59, 140, 23, 104)(10, 91, 27, 108, 65, 146, 50, 131, 19, 100, 49, 130, 40, 121, 44, 125, 28, 109)(13, 94, 35, 116, 61, 142, 24, 105, 60, 141, 31, 112, 71, 152, 68, 149, 36, 117)(14, 95, 37, 118, 53, 134, 26, 107, 43, 124, 16, 97, 42, 123, 58, 139, 38, 119)(18, 99, 47, 128, 81, 162, 72, 153, 32, 113, 67, 148, 54, 135, 70, 151, 48, 129)(20, 101, 51, 132, 75, 156, 46, 127, 69, 150, 29, 110, 64, 145, 80, 161, 52, 133)
	L = (1, 83)(2, 85)(3, 89)(4, 82)(5, 94)(6, 97)(7, 100)(8, 91)(9, 105)(10, 84)(11, 110)(12, 113)(13, 95)(14, 86)(15, 120)(16, 99)(17, 125)(18, 87)(19, 101)(20, 88)(21, 134)(22, 137)(23, 139)(24, 107)(25, 126)(26, 90)(27, 145)(28, 148)(29, 112)(30, 151)(31, 92)(32, 114)(33, 93)(34, 156)(35, 146)(36, 158)(37, 150)(38, 153)(39, 121)(40, 96)(41, 136)(42, 160)(43, 161)(44, 127)(45, 144)(46, 98)(47, 103)(48, 116)(49, 162)(50, 143)(51, 104)(52, 117)(53, 135)(54, 102)(55, 157)(56, 128)(57, 118)(58, 132)(59, 111)(60, 130)(61, 115)(62, 155)(63, 106)(64, 147)(65, 129)(66, 108)(67, 149)(68, 109)(69, 138)(70, 140)(71, 123)(72, 159)(73, 124)(74, 131)(75, 142)(76, 122)(77, 133)(78, 119)(79, 152)(80, 154)(81, 141)
	local type(s) :: { ( 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.1713
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 81 f = 36
	degree seq :: [ 18^9 ]

E19.1716 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 9, 9})
Quotient :: loop
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2 * T1 * T2 * T1, T2 * T1 * T2 * T1 * T2^-2 * T1, T2^-1 * T1^-1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2^-1, T2^9, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-4 ]
Map:: non-degenerate
	R = (1, 82, 3, 84, 9, 90, 25, 106, 59, 140, 75, 156, 41, 122, 15, 96, 5, 86)(2, 83, 6, 87, 17, 98, 43, 124, 76, 157, 64, 145, 52, 133, 21, 102, 7, 88)(4, 85, 11, 92, 30, 111, 60, 141, 70, 151, 78, 159, 69, 150, 34, 115, 12, 93)(8, 89, 22, 103, 53, 134, 79, 160, 77, 158, 74, 155, 39, 120, 33, 114, 23, 104)(10, 91, 27, 108, 63, 144, 48, 129, 19, 100, 47, 128, 40, 121, 42, 123, 28, 109)(13, 94, 35, 116, 58, 139, 24, 105, 57, 138, 31, 112, 66, 147, 72, 153, 36, 117)(14, 95, 37, 118, 16, 97, 26, 107, 61, 142, 81, 162, 80, 161, 55, 136, 38, 119)(18, 99, 45, 126, 65, 146, 68, 149, 32, 113, 67, 148, 51, 132, 54, 135, 46, 127)(20, 101, 49, 130, 29, 110, 44, 125, 56, 137, 71, 152, 62, 143, 73, 154, 50, 131)
	L = (1, 83)(2, 85)(3, 89)(4, 82)(5, 94)(6, 97)(7, 100)(8, 91)(9, 105)(10, 84)(11, 110)(12, 113)(13, 95)(14, 86)(15, 120)(16, 99)(17, 123)(18, 87)(19, 101)(20, 88)(21, 119)(22, 111)(23, 136)(24, 107)(25, 124)(26, 90)(27, 143)(28, 146)(29, 112)(30, 135)(31, 92)(32, 114)(33, 93)(34, 131)(35, 109)(36, 151)(37, 154)(38, 132)(39, 121)(40, 96)(41, 133)(42, 125)(43, 141)(44, 98)(45, 158)(46, 153)(47, 127)(48, 140)(49, 155)(50, 139)(51, 102)(52, 150)(53, 118)(54, 103)(55, 137)(56, 104)(57, 144)(58, 115)(59, 160)(60, 106)(61, 130)(62, 145)(63, 148)(64, 108)(65, 116)(66, 161)(67, 138)(68, 157)(69, 122)(70, 152)(71, 117)(72, 128)(73, 134)(74, 142)(75, 147)(76, 162)(77, 159)(78, 126)(79, 129)(80, 156)(81, 149)
	local type(s) :: { ( 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.1712
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 81 f = 36
	degree seq :: [ 18^9 ]

E19.1717 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 9, 9})
Quotient :: loop
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1, T2 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1 * T2, T1 * T2 * T1 * T2 * T1 * T2^4, T2^9 ]
Map:: non-degenerate
	R = (1, 82, 3, 84, 9, 90, 25, 106, 59, 140, 75, 156, 41, 122, 15, 96, 5, 86)(2, 83, 6, 87, 17, 98, 44, 125, 72, 153, 79, 160, 52, 133, 21, 102, 7, 88)(4, 85, 11, 92, 30, 111, 60, 141, 78, 159, 53, 134, 69, 150, 34, 115, 12, 93)(8, 89, 22, 103, 54, 135, 67, 148, 33, 114, 66, 147, 39, 120, 57, 138, 23, 104)(10, 91, 27, 108, 61, 142, 80, 161, 81, 162, 74, 155, 40, 121, 19, 100, 28, 109)(13, 94, 35, 116, 31, 112, 24, 105, 58, 139, 77, 158, 76, 157, 63, 144, 36, 117)(14, 95, 37, 118, 50, 131, 26, 107, 43, 124, 16, 97, 42, 123, 73, 154, 38, 119)(18, 99, 46, 127, 62, 143, 71, 152, 55, 136, 70, 151, 51, 132, 32, 113, 47, 128)(20, 101, 48, 129, 68, 149, 45, 126, 65, 146, 29, 110, 64, 145, 56, 137, 49, 130)
	L = (1, 83)(2, 85)(3, 89)(4, 82)(5, 94)(6, 97)(7, 100)(8, 91)(9, 105)(10, 84)(11, 110)(12, 113)(13, 95)(14, 86)(15, 120)(16, 99)(17, 108)(18, 87)(19, 101)(20, 88)(21, 131)(22, 134)(23, 118)(24, 107)(25, 125)(26, 90)(27, 126)(28, 143)(29, 112)(30, 127)(31, 92)(32, 114)(33, 93)(34, 149)(35, 142)(36, 115)(37, 137)(38, 152)(39, 121)(40, 96)(41, 133)(42, 156)(43, 129)(44, 141)(45, 98)(46, 138)(47, 139)(48, 135)(49, 158)(50, 132)(51, 102)(52, 150)(53, 136)(54, 124)(55, 103)(56, 104)(57, 111)(58, 155)(59, 148)(60, 106)(61, 151)(62, 144)(63, 109)(64, 160)(65, 147)(66, 154)(67, 161)(68, 117)(69, 122)(70, 116)(71, 153)(72, 119)(73, 146)(74, 128)(75, 157)(76, 123)(77, 159)(78, 130)(79, 162)(80, 140)(81, 145)
	local type(s) :: { ( 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.1711
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 81 f = 36
	degree seq :: [ 18^9 ]

E19.1718 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 9, 9})
Quotient :: loop
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-2 * T2 * T1^-2, T1 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1, (T1^-1, T2^-1, T1^-1), T1^2 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1, T1^2 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2, T1^9 ]
Map:: polytopal non-degenerate
	R = (1, 82, 3, 84, 5, 86)(2, 83, 7, 88, 8, 89)(4, 85, 11, 92, 13, 94)(6, 87, 17, 98, 18, 99)(9, 90, 24, 105, 25, 106)(10, 91, 26, 107, 28, 109)(12, 93, 31, 112, 33, 114)(14, 95, 37, 118, 38, 119)(15, 96, 39, 120, 41, 122)(16, 97, 43, 124, 44, 125)(19, 100, 50, 131, 51, 132)(20, 101, 52, 133, 54, 135)(21, 102, 56, 137, 57, 138)(22, 103, 58, 139, 60, 141)(23, 104, 59, 140, 61, 142)(27, 108, 48, 129, 67, 148)(29, 110, 55, 136, 63, 144)(30, 111, 69, 150, 68, 149)(32, 113, 66, 147, 72, 153)(34, 115, 73, 154, 49, 130)(35, 116, 74, 155, 75, 156)(36, 117, 76, 157, 53, 134)(40, 121, 78, 159, 46, 127)(42, 123, 79, 160, 65, 146)(45, 126, 64, 145, 80, 161)(47, 128, 81, 162, 70, 151)(62, 143, 71, 152, 77, 158)
	L = (1, 83)(2, 87)(3, 90)(4, 82)(5, 95)(6, 97)(7, 100)(8, 102)(9, 104)(10, 84)(11, 110)(12, 85)(13, 115)(14, 117)(15, 86)(16, 123)(17, 126)(18, 128)(19, 130)(20, 88)(21, 136)(22, 89)(23, 124)(24, 143)(25, 132)(26, 145)(27, 91)(28, 135)(29, 127)(30, 92)(31, 134)(32, 93)(33, 140)(34, 129)(35, 94)(36, 125)(37, 137)(38, 158)(39, 139)(40, 96)(41, 151)(42, 152)(43, 156)(44, 150)(45, 119)(46, 98)(47, 105)(48, 99)(49, 160)(50, 153)(51, 161)(52, 116)(53, 101)(54, 159)(55, 146)(56, 162)(57, 147)(58, 148)(59, 103)(60, 111)(61, 154)(62, 133)(63, 106)(64, 114)(65, 107)(66, 108)(67, 157)(68, 109)(69, 131)(70, 112)(71, 113)(72, 121)(73, 118)(74, 120)(75, 138)(76, 144)(77, 141)(78, 142)(79, 122)(80, 155)(81, 149)
	local type(s) :: { ( 9^6 ) }
Outer automorphisms :: reflexible
Dual of E19.1714
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 81 f = 18
	degree seq :: [ 6^27 ]

E19.1719 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y3 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y3, Y3 * Y2 * Y3 * Y2^-2 * Y1^-1 * Y2^-2, Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-2 * Y3 * Y2^-2 * Y1^-1, Y3 * Y2^3 * Y3^-1 * Y2^-3, Y2^9, Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^2, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-2 ]
Map::
	R = (1, 82, 2, 83, 4, 85)(3, 84, 8, 89, 10, 91)(5, 86, 13, 94, 14, 95)(6, 87, 16, 97, 18, 99)(7, 88, 19, 100, 20, 101)(9, 90, 24, 105, 26, 107)(11, 92, 29, 110, 31, 112)(12, 93, 32, 113, 33, 114)(15, 96, 39, 120, 40, 121)(17, 98, 44, 125, 46, 127)(21, 102, 53, 134, 54, 135)(22, 103, 56, 137, 47, 128)(23, 104, 58, 139, 51, 132)(25, 106, 45, 126, 63, 144)(27, 108, 64, 145, 66, 147)(28, 109, 67, 148, 68, 149)(30, 111, 70, 151, 59, 140)(34, 115, 75, 156, 61, 142)(35, 116, 65, 146, 48, 129)(36, 117, 77, 158, 52, 133)(37, 118, 69, 150, 57, 138)(38, 119, 72, 153, 78, 159)(41, 122, 55, 136, 76, 157)(42, 123, 79, 160, 71, 152)(43, 124, 80, 161, 73, 154)(49, 130, 81, 162, 60, 141)(50, 131, 62, 143, 74, 155)(163, 244, 165, 246, 171, 252, 187, 268, 224, 305, 241, 322, 203, 284, 177, 258, 167, 248)(164, 245, 168, 249, 179, 260, 207, 288, 240, 321, 228, 309, 217, 298, 183, 264, 169, 250)(166, 247, 173, 254, 192, 273, 225, 306, 239, 320, 218, 299, 238, 319, 196, 277, 174, 255)(170, 251, 184, 265, 219, 300, 236, 317, 195, 276, 235, 316, 201, 282, 221, 302, 185, 266)(172, 253, 189, 270, 227, 308, 212, 293, 181, 262, 211, 292, 202, 283, 206, 287, 190, 271)(175, 256, 197, 278, 223, 304, 186, 267, 222, 303, 193, 274, 233, 314, 230, 311, 198, 279)(176, 257, 199, 280, 215, 296, 188, 269, 205, 286, 178, 259, 204, 285, 220, 301, 200, 281)(180, 261, 209, 290, 243, 324, 234, 315, 194, 275, 229, 310, 216, 297, 232, 313, 210, 291)(182, 263, 213, 294, 237, 318, 208, 289, 231, 312, 191, 272, 226, 307, 242, 323, 214, 295)
	L = (1, 166)(2, 163)(3, 172)(4, 164)(5, 176)(6, 180)(7, 182)(8, 165)(9, 188)(10, 170)(11, 193)(12, 195)(13, 167)(14, 175)(15, 202)(16, 168)(17, 208)(18, 178)(19, 169)(20, 181)(21, 216)(22, 209)(23, 213)(24, 171)(25, 225)(26, 186)(27, 228)(28, 230)(29, 173)(30, 221)(31, 191)(32, 174)(33, 194)(34, 223)(35, 210)(36, 214)(37, 219)(38, 240)(39, 177)(40, 201)(41, 238)(42, 233)(43, 235)(44, 179)(45, 187)(46, 206)(47, 218)(48, 227)(49, 222)(50, 236)(51, 220)(52, 239)(53, 183)(54, 215)(55, 203)(56, 184)(57, 231)(58, 185)(59, 232)(60, 243)(61, 237)(62, 212)(63, 207)(64, 189)(65, 197)(66, 226)(67, 190)(68, 229)(69, 199)(70, 192)(71, 241)(72, 200)(73, 242)(74, 224)(75, 196)(76, 217)(77, 198)(78, 234)(79, 204)(80, 205)(81, 211)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1726
Graph:: bipartite
	v = 36 e = 162 f = 90
	degree seq :: [ 6^27, 18^9 ]

E19.1720 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, R * Y2^-1 * Y1 * R * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2, Y2 * Y3 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y2^2 * Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y2^4 * Y3^-1 * Y2 * Y3^-1 * Y2, Y2^9, R * Y2^2 * R * Y2^-2 * Y3^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 82, 2, 83, 4, 85)(3, 84, 8, 89, 10, 91)(5, 86, 13, 94, 14, 95)(6, 87, 16, 97, 18, 99)(7, 88, 19, 100, 20, 101)(9, 90, 24, 105, 26, 107)(11, 92, 29, 110, 31, 112)(12, 93, 32, 113, 33, 114)(15, 96, 39, 120, 40, 121)(17, 98, 27, 108, 45, 126)(21, 102, 50, 131, 51, 132)(22, 103, 53, 134, 55, 136)(23, 104, 37, 118, 56, 137)(25, 106, 44, 125, 60, 141)(28, 109, 62, 143, 63, 144)(30, 111, 46, 127, 57, 138)(34, 115, 68, 149, 36, 117)(35, 116, 61, 142, 70, 151)(38, 119, 71, 152, 72, 153)(41, 122, 52, 133, 69, 150)(42, 123, 75, 156, 76, 157)(43, 124, 48, 129, 54, 135)(47, 128, 58, 139, 74, 155)(49, 130, 77, 158, 78, 159)(59, 140, 67, 148, 80, 161)(64, 145, 79, 160, 81, 162)(65, 146, 66, 147, 73, 154)(163, 244, 165, 246, 171, 252, 187, 268, 221, 302, 237, 318, 203, 284, 177, 258, 167, 248)(164, 245, 168, 249, 179, 260, 206, 287, 234, 315, 241, 322, 214, 295, 183, 264, 169, 250)(166, 247, 173, 254, 192, 273, 222, 303, 240, 321, 215, 296, 231, 312, 196, 277, 174, 255)(170, 251, 184, 265, 216, 297, 229, 310, 195, 276, 228, 309, 201, 282, 219, 300, 185, 266)(172, 253, 189, 270, 223, 304, 242, 323, 243, 324, 236, 317, 202, 283, 181, 262, 190, 271)(175, 256, 197, 278, 193, 274, 186, 267, 220, 301, 239, 320, 238, 319, 225, 306, 198, 279)(176, 257, 199, 280, 212, 293, 188, 269, 205, 286, 178, 259, 204, 285, 235, 316, 200, 281)(180, 261, 208, 289, 224, 305, 233, 314, 217, 298, 232, 313, 213, 294, 194, 275, 209, 290)(182, 263, 210, 291, 230, 311, 207, 288, 227, 308, 191, 272, 226, 307, 218, 299, 211, 292)
	L = (1, 166)(2, 163)(3, 172)(4, 164)(5, 176)(6, 180)(7, 182)(8, 165)(9, 188)(10, 170)(11, 193)(12, 195)(13, 167)(14, 175)(15, 202)(16, 168)(17, 207)(18, 178)(19, 169)(20, 181)(21, 213)(22, 217)(23, 218)(24, 171)(25, 222)(26, 186)(27, 179)(28, 225)(29, 173)(30, 219)(31, 191)(32, 174)(33, 194)(34, 198)(35, 232)(36, 230)(37, 185)(38, 234)(39, 177)(40, 201)(41, 231)(42, 238)(43, 216)(44, 187)(45, 189)(46, 192)(47, 236)(48, 205)(49, 240)(50, 183)(51, 212)(52, 203)(53, 184)(54, 210)(55, 215)(56, 199)(57, 208)(58, 209)(59, 242)(60, 206)(61, 197)(62, 190)(63, 224)(64, 243)(65, 235)(66, 227)(67, 221)(68, 196)(69, 214)(70, 223)(71, 200)(72, 233)(73, 228)(74, 220)(75, 204)(76, 237)(77, 211)(78, 239)(79, 226)(80, 229)(81, 241)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1724
Graph:: bipartite
	v = 36 e = 162 f = 90
	degree seq :: [ 6^27, 18^9 ]

E19.1721 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^2 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, (R * Y2^-1 * Y1)^2, Y2^-2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y1 * Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2^-4 * Y1 * Y2^-1, Y2^2 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1, Y2^9 ]
Map::
	R = (1, 82, 2, 83, 4, 85)(3, 84, 8, 89, 10, 91)(5, 86, 13, 94, 14, 95)(6, 87, 16, 97, 18, 99)(7, 88, 19, 100, 20, 101)(9, 90, 24, 105, 26, 107)(11, 92, 29, 110, 31, 112)(12, 93, 32, 113, 33, 114)(15, 96, 39, 120, 40, 121)(17, 98, 42, 123, 44, 125)(21, 102, 38, 119, 51, 132)(22, 103, 30, 111, 54, 135)(23, 104, 55, 136, 56, 137)(25, 106, 43, 124, 60, 141)(27, 108, 62, 143, 64, 145)(28, 109, 65, 146, 35, 116)(34, 115, 50, 131, 58, 139)(36, 117, 70, 151, 71, 152)(37, 118, 73, 154, 53, 134)(41, 122, 52, 133, 69, 150)(45, 126, 77, 158, 78, 159)(46, 127, 72, 153, 47, 128)(48, 129, 59, 140, 79, 160)(49, 130, 74, 155, 61, 142)(57, 138, 63, 144, 67, 148)(66, 147, 80, 161, 75, 156)(68, 149, 76, 157, 81, 162)(163, 244, 165, 246, 171, 252, 187, 268, 221, 302, 237, 318, 203, 284, 177, 258, 167, 248)(164, 245, 168, 249, 179, 260, 205, 286, 238, 319, 226, 307, 214, 295, 183, 264, 169, 250)(166, 247, 173, 254, 192, 273, 222, 303, 232, 313, 240, 321, 231, 312, 196, 277, 174, 255)(170, 251, 184, 265, 215, 296, 241, 322, 239, 320, 236, 317, 201, 282, 195, 276, 185, 266)(172, 253, 189, 270, 225, 306, 210, 291, 181, 262, 209, 290, 202, 283, 204, 285, 190, 271)(175, 256, 197, 278, 220, 301, 186, 267, 219, 300, 193, 274, 228, 309, 234, 315, 198, 279)(176, 257, 199, 280, 178, 259, 188, 269, 223, 304, 243, 324, 242, 323, 217, 298, 200, 281)(180, 261, 207, 288, 227, 308, 230, 311, 194, 275, 229, 310, 213, 294, 216, 297, 208, 289)(182, 263, 211, 292, 191, 272, 206, 287, 218, 299, 233, 314, 224, 305, 235, 316, 212, 293)
	L = (1, 166)(2, 163)(3, 172)(4, 164)(5, 176)(6, 180)(7, 182)(8, 165)(9, 188)(10, 170)(11, 193)(12, 195)(13, 167)(14, 175)(15, 202)(16, 168)(17, 206)(18, 178)(19, 169)(20, 181)(21, 213)(22, 216)(23, 218)(24, 171)(25, 222)(26, 186)(27, 226)(28, 197)(29, 173)(30, 184)(31, 191)(32, 174)(33, 194)(34, 220)(35, 227)(36, 233)(37, 215)(38, 183)(39, 177)(40, 201)(41, 231)(42, 179)(43, 187)(44, 204)(45, 240)(46, 209)(47, 234)(48, 241)(49, 223)(50, 196)(51, 200)(52, 203)(53, 235)(54, 192)(55, 185)(56, 217)(57, 229)(58, 212)(59, 210)(60, 205)(61, 236)(62, 189)(63, 219)(64, 224)(65, 190)(66, 237)(67, 225)(68, 243)(69, 214)(70, 198)(71, 232)(72, 208)(73, 199)(74, 211)(75, 242)(76, 230)(77, 207)(78, 239)(79, 221)(80, 228)(81, 238)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1725
Graph:: bipartite
	v = 36 e = 162 f = 90
	degree seq :: [ 6^27, 18^9 ]

E19.1722 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^3 * Y2^-3, Y1 * Y2^-3 * Y1^2, (Y2 * Y1)^3, (Y3^-1 * Y1^-1)^3, Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y2^-1, Y1^-1, Y2), (Y2, Y1, Y2), (Y1^-1 * Y2^2)^3, Y2^9 ]
Map::
	R = (1, 82, 2, 83, 6, 87, 18, 99, 46, 127, 74, 155, 37, 118, 13, 94, 4, 85)(3, 84, 9, 90, 27, 108, 47, 128, 79, 160, 45, 126, 17, 98, 33, 114, 11, 92)(5, 86, 15, 96, 31, 112, 10, 91, 30, 111, 65, 146, 75, 156, 44, 125, 16, 97)(7, 88, 21, 102, 53, 134, 76, 157, 68, 149, 61, 142, 26, 107, 57, 138, 23, 104)(8, 89, 24, 105, 55, 136, 22, 103, 32, 113, 69, 150, 38, 119, 60, 141, 25, 106)(12, 93, 35, 116, 50, 131, 19, 100, 48, 129, 42, 123, 40, 121, 73, 154, 36, 117)(14, 95, 39, 120, 52, 133, 20, 101, 51, 132, 64, 145, 49, 130, 56, 137, 28, 109)(29, 110, 43, 124, 72, 153, 63, 144, 67, 148, 80, 161, 70, 151, 54, 135, 59, 140)(34, 115, 71, 152, 78, 159, 62, 143, 58, 139, 41, 122, 77, 158, 81, 162, 66, 147)(163, 244, 165, 246, 172, 253, 180, 261, 209, 290, 237, 318, 199, 280, 179, 260, 167, 248)(164, 245, 169, 250, 184, 265, 208, 289, 238, 319, 200, 281, 175, 256, 188, 269, 170, 251)(166, 247, 174, 255, 182, 263, 168, 249, 181, 262, 211, 292, 236, 317, 202, 283, 176, 257)(171, 252, 190, 271, 225, 306, 241, 322, 214, 295, 232, 313, 195, 276, 226, 307, 191, 272)(173, 254, 194, 275, 224, 305, 189, 270, 222, 303, 239, 320, 207, 288, 186, 267, 196, 277)(177, 258, 203, 284, 198, 279, 192, 273, 228, 309, 212, 293, 206, 287, 240, 321, 204, 285)(178, 259, 205, 286, 230, 311, 193, 274, 229, 310, 219, 300, 227, 308, 216, 297, 183, 264)(185, 266, 218, 299, 243, 324, 215, 296, 201, 282, 233, 314, 223, 304, 213, 294, 220, 301)(187, 268, 221, 302, 235, 316, 217, 298, 234, 315, 197, 278, 231, 312, 242, 323, 210, 291)
	L = (1, 165)(2, 169)(3, 172)(4, 174)(5, 163)(6, 181)(7, 184)(8, 164)(9, 190)(10, 180)(11, 194)(12, 182)(13, 188)(14, 166)(15, 203)(16, 205)(17, 167)(18, 209)(19, 211)(20, 168)(21, 178)(22, 208)(23, 218)(24, 196)(25, 221)(26, 170)(27, 222)(28, 225)(29, 171)(30, 228)(31, 229)(32, 224)(33, 226)(34, 173)(35, 231)(36, 192)(37, 179)(38, 175)(39, 233)(40, 176)(41, 198)(42, 177)(43, 230)(44, 240)(45, 186)(46, 238)(47, 237)(48, 187)(49, 236)(50, 206)(51, 220)(52, 232)(53, 201)(54, 183)(55, 234)(56, 243)(57, 227)(58, 185)(59, 235)(60, 239)(61, 213)(62, 189)(63, 241)(64, 191)(65, 216)(66, 212)(67, 219)(68, 193)(69, 242)(70, 195)(71, 223)(72, 197)(73, 217)(74, 202)(75, 199)(76, 200)(77, 207)(78, 204)(79, 214)(80, 210)(81, 215)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1723
Graph:: bipartite
	v = 18 e = 162 f = 108
	degree seq :: [ 18^18 ]

E19.1723 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^2, (Y3 * Y2^-1)^9, (Y3^-1 * Y1^-1)^9 ]
Map:: polytopal
	R = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)(163, 244, 164, 245, 166, 247)(165, 246, 170, 251, 172, 253)(167, 248, 175, 256, 176, 257)(168, 249, 178, 259, 180, 261)(169, 250, 181, 262, 182, 263)(171, 252, 186, 267, 188, 269)(173, 254, 191, 272, 193, 274)(174, 255, 194, 275, 195, 276)(177, 258, 201, 282, 202, 283)(179, 260, 206, 287, 208, 289)(183, 264, 215, 296, 216, 297)(184, 265, 218, 299, 209, 290)(185, 266, 220, 301, 213, 294)(187, 268, 207, 288, 225, 306)(189, 270, 226, 307, 228, 309)(190, 271, 229, 310, 230, 311)(192, 273, 232, 313, 221, 302)(196, 277, 237, 318, 223, 304)(197, 278, 227, 308, 210, 291)(198, 279, 239, 320, 214, 295)(199, 280, 231, 312, 219, 300)(200, 281, 234, 315, 240, 321)(203, 284, 217, 298, 238, 319)(204, 285, 241, 322, 233, 314)(205, 286, 242, 323, 235, 316)(211, 292, 243, 324, 222, 303)(212, 293, 224, 305, 236, 317)
	L = (1, 165)(2, 168)(3, 171)(4, 173)(5, 163)(6, 179)(7, 164)(8, 184)(9, 187)(10, 189)(11, 192)(12, 166)(13, 197)(14, 199)(15, 167)(16, 204)(17, 207)(18, 209)(19, 211)(20, 213)(21, 169)(22, 219)(23, 170)(24, 222)(25, 224)(26, 205)(27, 227)(28, 172)(29, 226)(30, 225)(31, 233)(32, 229)(33, 235)(34, 174)(35, 223)(36, 175)(37, 215)(38, 176)(39, 221)(40, 206)(41, 177)(42, 220)(43, 178)(44, 190)(45, 240)(46, 231)(47, 243)(48, 180)(49, 202)(50, 181)(51, 237)(52, 182)(53, 188)(54, 232)(55, 183)(56, 238)(57, 236)(58, 200)(59, 185)(60, 193)(61, 186)(62, 241)(63, 239)(64, 242)(65, 212)(66, 217)(67, 216)(68, 198)(69, 191)(70, 210)(71, 230)(72, 194)(73, 201)(74, 195)(75, 208)(76, 196)(77, 218)(78, 228)(79, 203)(80, 214)(81, 234)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 18, 18 ), ( 18^6 ) }
Outer automorphisms :: reflexible
Dual of E19.1722
Graph:: simple bipartite
	v = 108 e = 162 f = 18
	degree seq :: [ 2^81, 6^27 ]

E19.1724 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-2, Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1, (Y1, Y3^-1, Y1^-1), Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1, Y1^2 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y1^9 ]
Map::
	R = (1, 82, 2, 83, 6, 87, 16, 97, 42, 123, 71, 152, 32, 113, 12, 93, 4, 85)(3, 84, 9, 90, 23, 104, 43, 124, 75, 156, 57, 138, 66, 147, 27, 108, 10, 91)(5, 86, 14, 95, 36, 117, 44, 125, 69, 150, 50, 131, 72, 153, 40, 121, 15, 96)(7, 88, 19, 100, 49, 130, 79, 160, 41, 122, 70, 151, 31, 112, 53, 134, 20, 101)(8, 89, 21, 102, 55, 136, 65, 146, 26, 107, 64, 145, 33, 114, 59, 140, 22, 103)(11, 92, 29, 110, 46, 127, 17, 98, 45, 126, 38, 119, 77, 158, 60, 141, 30, 111)(13, 94, 34, 115, 48, 129, 18, 99, 47, 128, 24, 105, 62, 143, 52, 133, 35, 116)(25, 106, 51, 132, 80, 161, 74, 155, 39, 120, 58, 139, 67, 148, 76, 157, 63, 144)(28, 109, 54, 135, 78, 159, 61, 142, 73, 154, 37, 118, 56, 137, 81, 162, 68, 149)(163, 244)(164, 245)(165, 246)(166, 247)(167, 248)(168, 249)(169, 250)(170, 251)(171, 252)(172, 253)(173, 254)(174, 255)(175, 256)(176, 257)(177, 258)(178, 259)(179, 260)(180, 261)(181, 262)(182, 263)(183, 264)(184, 265)(185, 266)(186, 267)(187, 268)(188, 269)(189, 270)(190, 271)(191, 272)(192, 273)(193, 274)(194, 275)(195, 276)(196, 277)(197, 278)(198, 279)(199, 280)(200, 281)(201, 282)(202, 283)(203, 284)(204, 285)(205, 286)(206, 287)(207, 288)(208, 289)(209, 290)(210, 291)(211, 292)(212, 293)(213, 294)(214, 295)(215, 296)(216, 297)(217, 298)(218, 299)(219, 300)(220, 301)(221, 302)(222, 303)(223, 304)(224, 305)(225, 306)(226, 307)(227, 308)(228, 309)(229, 310)(230, 311)(231, 312)(232, 313)(233, 314)(234, 315)(235, 316)(236, 317)(237, 318)(238, 319)(239, 320)(240, 321)(241, 322)(242, 323)(243, 324)
	L = (1, 165)(2, 169)(3, 167)(4, 173)(5, 163)(6, 179)(7, 170)(8, 164)(9, 186)(10, 188)(11, 175)(12, 193)(13, 166)(14, 199)(15, 201)(16, 205)(17, 180)(18, 168)(19, 212)(20, 214)(21, 218)(22, 220)(23, 221)(24, 187)(25, 171)(26, 190)(27, 210)(28, 172)(29, 217)(30, 231)(31, 195)(32, 228)(33, 174)(34, 235)(35, 236)(36, 238)(37, 200)(38, 176)(39, 203)(40, 240)(41, 177)(42, 241)(43, 206)(44, 178)(45, 226)(46, 202)(47, 243)(48, 229)(49, 196)(50, 213)(51, 181)(52, 216)(53, 198)(54, 182)(55, 225)(56, 219)(57, 183)(58, 222)(59, 223)(60, 184)(61, 185)(62, 233)(63, 191)(64, 242)(65, 204)(66, 234)(67, 189)(68, 192)(69, 230)(70, 209)(71, 239)(72, 194)(73, 211)(74, 237)(75, 197)(76, 215)(77, 224)(78, 208)(79, 227)(80, 207)(81, 232)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1720
Graph:: simple bipartite
	v = 90 e = 162 f = 36
	degree seq :: [ 2^81, 18^9 ]

E19.1725 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3, Y1^4 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1^9 ]
Map::
	R = (1, 82, 2, 83, 6, 87, 16, 97, 42, 123, 70, 151, 32, 113, 12, 93, 4, 85)(3, 84, 9, 90, 23, 104, 43, 124, 77, 158, 54, 135, 62, 143, 27, 108, 10, 91)(5, 86, 14, 95, 36, 117, 44, 125, 66, 147, 81, 162, 71, 152, 40, 121, 15, 96)(7, 88, 19, 100, 48, 129, 76, 157, 80, 161, 69, 150, 31, 112, 41, 122, 20, 101)(8, 89, 21, 102, 52, 133, 61, 142, 26, 107, 60, 141, 33, 114, 56, 137, 22, 103)(11, 92, 29, 110, 46, 127, 17, 98, 45, 126, 38, 119, 73, 154, 67, 148, 30, 111)(13, 94, 34, 115, 24, 105, 18, 99, 47, 128, 78, 159, 79, 160, 50, 131, 35, 116)(25, 106, 58, 139, 55, 136, 75, 156, 39, 120, 74, 155, 63, 144, 49, 130, 59, 140)(28, 109, 64, 145, 37, 118, 57, 138, 51, 132, 68, 149, 53, 134, 72, 153, 65, 146)(163, 244)(164, 245)(165, 246)(166, 247)(167, 248)(168, 249)(169, 250)(170, 251)(171, 252)(172, 253)(173, 254)(174, 255)(175, 256)(176, 257)(177, 258)(178, 259)(179, 260)(180, 261)(181, 262)(182, 263)(183, 264)(184, 265)(185, 266)(186, 267)(187, 268)(188, 269)(189, 270)(190, 271)(191, 272)(192, 273)(193, 274)(194, 275)(195, 276)(196, 277)(197, 278)(198, 279)(199, 280)(200, 281)(201, 282)(202, 283)(203, 284)(204, 285)(205, 286)(206, 287)(207, 288)(208, 289)(209, 290)(210, 291)(211, 292)(212, 293)(213, 294)(214, 295)(215, 296)(216, 297)(217, 298)(218, 299)(219, 300)(220, 301)(221, 302)(222, 303)(223, 304)(224, 305)(225, 306)(226, 307)(227, 308)(228, 309)(229, 310)(230, 311)(231, 312)(232, 313)(233, 314)(234, 315)(235, 316)(236, 317)(237, 318)(238, 319)(239, 320)(240, 321)(241, 322)(242, 323)(243, 324)
	L = (1, 165)(2, 169)(3, 167)(4, 173)(5, 163)(6, 179)(7, 170)(8, 164)(9, 186)(10, 188)(11, 175)(12, 193)(13, 166)(14, 199)(15, 201)(16, 205)(17, 180)(18, 168)(19, 198)(20, 212)(21, 215)(22, 217)(23, 218)(24, 187)(25, 171)(26, 190)(27, 197)(28, 172)(29, 184)(30, 228)(31, 195)(32, 224)(33, 174)(34, 234)(35, 225)(36, 211)(37, 200)(38, 176)(39, 203)(40, 227)(41, 177)(42, 238)(43, 206)(44, 178)(45, 214)(46, 202)(47, 226)(48, 196)(49, 181)(50, 213)(51, 182)(52, 236)(53, 216)(54, 183)(55, 191)(56, 219)(57, 185)(58, 242)(59, 229)(60, 221)(61, 204)(62, 233)(63, 189)(64, 231)(65, 208)(66, 230)(67, 222)(68, 192)(69, 209)(70, 235)(71, 194)(72, 210)(73, 241)(74, 207)(75, 239)(76, 223)(77, 240)(78, 237)(79, 232)(80, 243)(81, 220)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1721
Graph:: simple bipartite
	v = 90 e = 162 f = 36
	degree seq :: [ 2^81, 18^9 ]

E19.1726 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 9})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1, Y1^9, Y1^4 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map::
	R = (1, 82, 2, 83, 6, 87, 16, 97, 42, 123, 67, 148, 32, 113, 12, 93, 4, 85)(3, 84, 9, 90, 23, 104, 43, 124, 72, 153, 80, 161, 60, 141, 27, 108, 10, 91)(5, 86, 14, 95, 36, 117, 44, 125, 77, 158, 49, 130, 68, 149, 40, 121, 15, 96)(7, 88, 19, 100, 48, 129, 75, 156, 41, 122, 66, 147, 31, 112, 51, 132, 20, 101)(8, 89, 21, 102, 53, 134, 76, 157, 81, 162, 69, 150, 33, 114, 26, 107, 22, 103)(11, 92, 29, 110, 38, 119, 17, 98, 45, 126, 78, 159, 79, 160, 56, 137, 30, 111)(13, 94, 34, 115, 47, 128, 18, 99, 46, 127, 24, 105, 57, 138, 71, 152, 35, 116)(25, 106, 58, 139, 55, 136, 70, 151, 50, 131, 64, 145, 61, 142, 39, 120, 59, 140)(28, 109, 62, 143, 65, 146, 54, 135, 74, 155, 37, 118, 73, 154, 52, 133, 63, 144)(163, 244)(164, 245)(165, 246)(166, 247)(167, 248)(168, 249)(169, 250)(170, 251)(171, 252)(172, 253)(173, 254)(174, 255)(175, 256)(176, 257)(177, 258)(178, 259)(179, 260)(180, 261)(181, 262)(182, 263)(183, 264)(184, 265)(185, 266)(186, 267)(187, 268)(188, 269)(189, 270)(190, 271)(191, 272)(192, 273)(193, 274)(194, 275)(195, 276)(196, 277)(197, 278)(198, 279)(199, 280)(200, 281)(201, 282)(202, 283)(203, 284)(204, 285)(205, 286)(206, 287)(207, 288)(208, 289)(209, 290)(210, 291)(211, 292)(212, 293)(213, 294)(214, 295)(215, 296)(216, 297)(217, 298)(218, 299)(219, 300)(220, 301)(221, 302)(222, 303)(223, 304)(224, 305)(225, 306)(226, 307)(227, 308)(228, 309)(229, 310)(230, 311)(231, 312)(232, 313)(233, 314)(234, 315)(235, 316)(236, 317)(237, 318)(238, 319)(239, 320)(240, 321)(241, 322)(242, 323)(243, 324)
	L = (1, 165)(2, 169)(3, 167)(4, 173)(5, 163)(6, 179)(7, 170)(8, 164)(9, 186)(10, 188)(11, 175)(12, 193)(13, 166)(14, 199)(15, 201)(16, 205)(17, 180)(18, 168)(19, 211)(20, 196)(21, 216)(22, 217)(23, 183)(24, 187)(25, 171)(26, 190)(27, 209)(28, 172)(29, 215)(30, 202)(31, 195)(32, 222)(33, 174)(34, 214)(35, 232)(36, 220)(37, 200)(38, 176)(39, 203)(40, 227)(41, 177)(42, 237)(43, 206)(44, 178)(45, 231)(46, 224)(47, 223)(48, 208)(49, 212)(50, 181)(51, 198)(52, 182)(53, 226)(54, 185)(55, 218)(56, 184)(57, 229)(58, 213)(59, 207)(60, 230)(61, 189)(62, 210)(63, 240)(64, 191)(65, 192)(66, 233)(67, 241)(68, 194)(69, 221)(70, 234)(71, 236)(72, 197)(73, 242)(74, 228)(75, 238)(76, 204)(77, 225)(78, 239)(79, 219)(80, 243)(81, 235)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.1719
Graph:: simple bipartite
	v = 90 e = 162 f = 36
	degree seq :: [ 2^81, 18^9 ]

E19.1727 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 14})
Quotient :: halfedge^2
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1, (Y3 * Y2)^7 ]
Map:: non-degenerate
	R = (1, 86, 2, 85)(3, 91, 7, 87)(4, 93, 9, 88)(5, 95, 11, 89)(6, 97, 13, 90)(8, 96, 12, 92)(10, 98, 14, 94)(15, 109, 25, 99)(16, 110, 26, 100)(17, 111, 27, 101)(18, 113, 29, 102)(19, 114, 30, 103)(20, 116, 32, 104)(21, 117, 33, 105)(22, 118, 34, 106)(23, 120, 36, 107)(24, 121, 37, 108)(28, 119, 35, 112)(31, 122, 38, 115)(39, 131, 47, 123)(40, 132, 48, 124)(41, 133, 49, 125)(42, 139, 55, 126)(43, 140, 56, 127)(44, 136, 52, 128)(45, 142, 58, 129)(46, 143, 59, 130)(50, 145, 61, 134)(51, 146, 62, 135)(53, 148, 64, 137)(54, 149, 65, 138)(57, 147, 63, 141)(60, 150, 66, 144)(67, 156, 72, 151)(68, 161, 77, 152)(69, 162, 78, 153)(70, 159, 75, 154)(71, 163, 79, 155)(73, 164, 80, 157)(74, 165, 81, 158)(76, 166, 82, 160)(83, 168, 84, 167)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 31)(21, 34)(24, 38)(25, 39)(26, 41)(28, 43)(29, 40)(30, 45)(32, 47)(33, 49)(35, 51)(36, 48)(37, 53)(42, 56)(44, 58)(46, 60)(50, 62)(52, 64)(54, 66)(55, 67)(57, 69)(59, 71)(61, 72)(63, 74)(65, 76)(68, 78)(70, 79)(73, 81)(75, 82)(77, 83)(80, 84)(85, 88)(86, 90)(87, 92)(89, 96)(91, 100)(93, 99)(94, 103)(95, 105)(97, 104)(98, 108)(101, 112)(102, 114)(106, 119)(107, 121)(109, 124)(110, 123)(111, 126)(113, 128)(115, 130)(116, 132)(117, 131)(118, 134)(120, 136)(122, 138)(125, 139)(127, 141)(129, 143)(133, 145)(135, 147)(137, 149)(140, 152)(142, 154)(144, 153)(146, 157)(148, 159)(150, 158)(151, 161)(155, 162)(156, 164)(160, 165)(163, 167)(166, 168)
	local type(s) :: { ( 28^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1728
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 42 e = 84 f = 6
	degree seq :: [ 4^42 ]

E19.1728 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 14})
Quotient :: halfedge^2
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-2 * Y2 * Y3 * Y2 * Y3, (Y1^-1 * Y2 * Y3)^2, (Y2 * Y1^2)^2, (Y1^-2 * Y3)^2, Y1^3 * Y2 * Y3 * Y1^3, Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1^-1, (Y2 * Y1^-1)^6, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 86, 2, 90, 6, 102, 18, 122, 38, 118, 34, 97, 13, 109, 25, 94, 10, 106, 22, 125, 41, 121, 37, 101, 17, 89, 5, 85)(3, 93, 9, 111, 27, 133, 49, 144, 60, 127, 43, 104, 20, 98, 14, 88, 4, 96, 12, 116, 32, 126, 42, 103, 19, 95, 11, 87)(7, 105, 21, 99, 15, 119, 35, 141, 57, 145, 61, 124, 40, 110, 26, 92, 8, 108, 24, 100, 16, 120, 36, 123, 39, 107, 23, 91)(28, 134, 50, 114, 30, 138, 54, 146, 62, 140, 56, 117, 33, 137, 53, 113, 29, 136, 52, 115, 31, 139, 55, 147, 63, 135, 51, 112)(44, 148, 64, 130, 46, 152, 68, 143, 59, 154, 70, 132, 48, 151, 67, 129, 45, 150, 66, 131, 47, 153, 69, 142, 58, 149, 65, 128)(71, 164, 80, 157, 73, 168, 84, 161, 77, 166, 82, 159, 75, 163, 79, 156, 72, 165, 81, 158, 74, 167, 83, 160, 76, 162, 78, 155)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 33)(14, 29)(16, 34)(17, 27)(18, 39)(21, 44)(22, 40)(23, 46)(24, 48)(26, 45)(31, 43)(32, 38)(35, 58)(36, 59)(37, 57)(41, 60)(42, 62)(47, 61)(49, 63)(50, 71)(51, 73)(52, 75)(53, 72)(54, 76)(55, 77)(56, 74)(64, 78)(65, 80)(66, 82)(67, 79)(68, 83)(69, 84)(70, 81)(85, 88)(86, 92)(87, 94)(89, 100)(90, 104)(91, 106)(93, 113)(95, 115)(96, 112)(97, 111)(98, 114)(99, 109)(101, 116)(102, 124)(103, 125)(105, 129)(107, 131)(108, 128)(110, 130)(117, 133)(118, 141)(119, 132)(120, 142)(121, 123)(122, 144)(126, 147)(127, 146)(134, 156)(135, 158)(136, 155)(137, 157)(138, 159)(139, 160)(140, 161)(143, 145)(148, 163)(149, 165)(150, 162)(151, 164)(152, 166)(153, 167)(154, 168)
	local type(s) :: { ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E19.1727
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 84 f = 42
	degree seq :: [ 28^6 ]

E19.1729 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 14})
Quotient :: edge^2
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3 * Y1 * Y2 * Y3 * Y2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, (Y2 * Y1)^7 ]
Map::
	R = (1, 85, 4, 88)(2, 86, 6, 90)(3, 87, 8, 92)(5, 89, 12, 96)(7, 91, 16, 100)(9, 93, 18, 102)(10, 94, 19, 103)(11, 95, 21, 105)(13, 97, 23, 107)(14, 98, 24, 108)(15, 99, 26, 110)(17, 101, 28, 112)(20, 104, 33, 117)(22, 106, 35, 119)(25, 109, 40, 124)(27, 111, 42, 126)(29, 113, 44, 128)(30, 114, 45, 129)(31, 115, 46, 130)(32, 116, 48, 132)(34, 118, 50, 134)(36, 120, 52, 136)(37, 121, 53, 137)(38, 122, 54, 138)(39, 123, 56, 140)(41, 125, 58, 142)(43, 127, 60, 144)(47, 131, 62, 146)(49, 133, 64, 148)(51, 135, 66, 150)(55, 139, 67, 151)(57, 141, 69, 153)(59, 143, 71, 155)(61, 145, 72, 156)(63, 147, 74, 158)(65, 149, 76, 160)(68, 152, 77, 161)(70, 154, 79, 163)(73, 157, 80, 164)(75, 159, 82, 166)(78, 162, 83, 167)(81, 165, 84, 168)(169, 170)(171, 175)(172, 177)(173, 179)(174, 181)(176, 185)(178, 184)(180, 190)(182, 189)(183, 193)(186, 197)(187, 199)(188, 200)(191, 204)(192, 206)(194, 209)(195, 208)(196, 205)(198, 203)(201, 217)(202, 216)(207, 223)(210, 227)(211, 226)(212, 220)(213, 222)(214, 221)(215, 229)(218, 233)(219, 232)(224, 236)(225, 235)(228, 239)(230, 241)(231, 240)(234, 244)(237, 246)(238, 245)(242, 249)(243, 248)(247, 251)(250, 252)(253, 255)(254, 257)(256, 262)(258, 266)(259, 267)(260, 265)(261, 264)(263, 272)(268, 279)(269, 278)(270, 282)(271, 281)(273, 286)(274, 285)(275, 289)(276, 288)(277, 291)(280, 295)(283, 294)(284, 299)(287, 303)(290, 302)(292, 309)(293, 308)(296, 305)(297, 304)(298, 312)(300, 315)(301, 314)(306, 318)(307, 313)(310, 322)(311, 321)(316, 327)(317, 326)(319, 325)(320, 324)(323, 331)(328, 334)(329, 333)(330, 332)(335, 336)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 56, 56 ), ( 56^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1732
Graph:: simple bipartite
	v = 126 e = 168 f = 6
	degree seq :: [ 2^84, 4^42 ]

E19.1730 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 14})
Quotient :: edge^2
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2 * Y1 * Y3^-2 * Y2, (Y3^2 * Y1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-5 * Y1 * Y2 * Y3^-1, (Y3^-1 * Y1)^6 ]
Map::
	R = (1, 85, 4, 88, 14, 98, 34, 118, 40, 124, 20, 104, 6, 90, 19, 103, 9, 93, 27, 111, 50, 134, 37, 121, 17, 101, 5, 89)(2, 86, 7, 91, 23, 107, 45, 129, 29, 113, 11, 95, 3, 87, 10, 94, 18, 102, 38, 122, 61, 145, 48, 132, 26, 110, 8, 92)(12, 96, 30, 114, 15, 99, 35, 119, 57, 141, 33, 117, 13, 97, 32, 116, 16, 100, 36, 120, 39, 123, 62, 146, 49, 133, 31, 115)(21, 105, 41, 125, 24, 108, 46, 130, 68, 152, 44, 128, 22, 106, 43, 127, 25, 109, 47, 131, 28, 112, 51, 135, 60, 144, 42, 126)(52, 136, 71, 155, 54, 138, 75, 159, 59, 143, 74, 158, 53, 137, 73, 157, 55, 139, 76, 160, 56, 140, 77, 161, 58, 142, 72, 156)(63, 147, 78, 162, 65, 149, 82, 166, 70, 154, 81, 165, 64, 148, 80, 164, 66, 150, 83, 167, 67, 151, 84, 168, 69, 153, 79, 163)(169, 170)(171, 177)(172, 180)(173, 183)(174, 186)(175, 189)(176, 192)(178, 193)(179, 196)(181, 195)(182, 194)(184, 187)(185, 191)(188, 207)(190, 206)(197, 218)(198, 220)(199, 222)(200, 223)(201, 224)(202, 217)(203, 226)(204, 221)(205, 225)(208, 229)(209, 231)(210, 233)(211, 234)(212, 235)(213, 228)(214, 237)(215, 232)(216, 236)(219, 238)(227, 230)(239, 247)(240, 246)(241, 248)(242, 251)(243, 252)(244, 249)(245, 250)(253, 255)(254, 258)(256, 265)(257, 268)(259, 274)(260, 277)(261, 278)(262, 273)(263, 276)(264, 271)(266, 281)(267, 272)(269, 270)(275, 292)(279, 301)(280, 300)(282, 305)(283, 307)(284, 304)(285, 306)(286, 309)(287, 311)(288, 310)(289, 291)(290, 312)(293, 316)(294, 318)(295, 315)(296, 317)(297, 320)(298, 322)(299, 321)(302, 313)(303, 319)(308, 314)(323, 333)(324, 332)(325, 331)(326, 330)(327, 334)(328, 336)(329, 335)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 8, 8 ), ( 8^28 ) }
Outer automorphisms :: reflexible
Dual of E19.1731
Graph:: simple bipartite
	v = 90 e = 168 f = 42
	degree seq :: [ 2^84, 28^6 ]

E19.1731 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 14})
Quotient :: loop^2
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3 * Y1 * Y2 * Y3 * Y2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, (Y2 * Y1)^7 ]
Map::
	R = (1, 85, 169, 253, 4, 88, 172, 256)(2, 86, 170, 254, 6, 90, 174, 258)(3, 87, 171, 255, 8, 92, 176, 260)(5, 89, 173, 257, 12, 96, 180, 264)(7, 91, 175, 259, 16, 100, 184, 268)(9, 93, 177, 261, 18, 102, 186, 270)(10, 94, 178, 262, 19, 103, 187, 271)(11, 95, 179, 263, 21, 105, 189, 273)(13, 97, 181, 265, 23, 107, 191, 275)(14, 98, 182, 266, 24, 108, 192, 276)(15, 99, 183, 267, 26, 110, 194, 278)(17, 101, 185, 269, 28, 112, 196, 280)(20, 104, 188, 272, 33, 117, 201, 285)(22, 106, 190, 274, 35, 119, 203, 287)(25, 109, 193, 277, 40, 124, 208, 292)(27, 111, 195, 279, 42, 126, 210, 294)(29, 113, 197, 281, 44, 128, 212, 296)(30, 114, 198, 282, 45, 129, 213, 297)(31, 115, 199, 283, 46, 130, 214, 298)(32, 116, 200, 284, 48, 132, 216, 300)(34, 118, 202, 286, 50, 134, 218, 302)(36, 120, 204, 288, 52, 136, 220, 304)(37, 121, 205, 289, 53, 137, 221, 305)(38, 122, 206, 290, 54, 138, 222, 306)(39, 123, 207, 291, 56, 140, 224, 308)(41, 125, 209, 293, 58, 142, 226, 310)(43, 127, 211, 295, 60, 144, 228, 312)(47, 131, 215, 299, 62, 146, 230, 314)(49, 133, 217, 301, 64, 148, 232, 316)(51, 135, 219, 303, 66, 150, 234, 318)(55, 139, 223, 307, 67, 151, 235, 319)(57, 141, 225, 309, 69, 153, 237, 321)(59, 143, 227, 311, 71, 155, 239, 323)(61, 145, 229, 313, 72, 156, 240, 324)(63, 147, 231, 315, 74, 158, 242, 326)(65, 149, 233, 317, 76, 160, 244, 328)(68, 152, 236, 320, 77, 161, 245, 329)(70, 154, 238, 322, 79, 163, 247, 331)(73, 157, 241, 325, 80, 164, 248, 332)(75, 159, 243, 327, 82, 166, 250, 334)(78, 162, 246, 330, 83, 167, 251, 335)(81, 165, 249, 333, 84, 168, 252, 336)
	L = (1, 86)(2, 85)(3, 91)(4, 93)(5, 95)(6, 97)(7, 87)(8, 101)(9, 88)(10, 100)(11, 89)(12, 106)(13, 90)(14, 105)(15, 109)(16, 94)(17, 92)(18, 113)(19, 115)(20, 116)(21, 98)(22, 96)(23, 120)(24, 122)(25, 99)(26, 125)(27, 124)(28, 121)(29, 102)(30, 119)(31, 103)(32, 104)(33, 133)(34, 132)(35, 114)(36, 107)(37, 112)(38, 108)(39, 139)(40, 111)(41, 110)(42, 143)(43, 142)(44, 136)(45, 138)(46, 137)(47, 145)(48, 118)(49, 117)(50, 149)(51, 148)(52, 128)(53, 130)(54, 129)(55, 123)(56, 152)(57, 151)(58, 127)(59, 126)(60, 155)(61, 131)(62, 157)(63, 156)(64, 135)(65, 134)(66, 160)(67, 141)(68, 140)(69, 162)(70, 161)(71, 144)(72, 147)(73, 146)(74, 165)(75, 164)(76, 150)(77, 154)(78, 153)(79, 167)(80, 159)(81, 158)(82, 168)(83, 163)(84, 166)(169, 255)(170, 257)(171, 253)(172, 262)(173, 254)(174, 266)(175, 267)(176, 265)(177, 264)(178, 256)(179, 272)(180, 261)(181, 260)(182, 258)(183, 259)(184, 279)(185, 278)(186, 282)(187, 281)(188, 263)(189, 286)(190, 285)(191, 289)(192, 288)(193, 291)(194, 269)(195, 268)(196, 295)(197, 271)(198, 270)(199, 294)(200, 299)(201, 274)(202, 273)(203, 303)(204, 276)(205, 275)(206, 302)(207, 277)(208, 309)(209, 308)(210, 283)(211, 280)(212, 305)(213, 304)(214, 312)(215, 284)(216, 315)(217, 314)(218, 290)(219, 287)(220, 297)(221, 296)(222, 318)(223, 313)(224, 293)(225, 292)(226, 322)(227, 321)(228, 298)(229, 307)(230, 301)(231, 300)(232, 327)(233, 326)(234, 306)(235, 325)(236, 324)(237, 311)(238, 310)(239, 331)(240, 320)(241, 319)(242, 317)(243, 316)(244, 334)(245, 333)(246, 332)(247, 323)(248, 330)(249, 329)(250, 328)(251, 336)(252, 335)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E19.1730
Transitivity :: VT+
Graph:: bipartite
	v = 42 e = 168 f = 90
	degree seq :: [ 8^42 ]

E19.1732 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 14})
Quotient :: loop^2
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2 * Y1 * Y3^-2 * Y2, (Y3^2 * Y1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-5 * Y1 * Y2 * Y3^-1, (Y3^-1 * Y1)^6 ]
Map::
	R = (1, 85, 169, 253, 4, 88, 172, 256, 14, 98, 182, 266, 34, 118, 202, 286, 40, 124, 208, 292, 20, 104, 188, 272, 6, 90, 174, 258, 19, 103, 187, 271, 9, 93, 177, 261, 27, 111, 195, 279, 50, 134, 218, 302, 37, 121, 205, 289, 17, 101, 185, 269, 5, 89, 173, 257)(2, 86, 170, 254, 7, 91, 175, 259, 23, 107, 191, 275, 45, 129, 213, 297, 29, 113, 197, 281, 11, 95, 179, 263, 3, 87, 171, 255, 10, 94, 178, 262, 18, 102, 186, 270, 38, 122, 206, 290, 61, 145, 229, 313, 48, 132, 216, 300, 26, 110, 194, 278, 8, 92, 176, 260)(12, 96, 180, 264, 30, 114, 198, 282, 15, 99, 183, 267, 35, 119, 203, 287, 57, 141, 225, 309, 33, 117, 201, 285, 13, 97, 181, 265, 32, 116, 200, 284, 16, 100, 184, 268, 36, 120, 204, 288, 39, 123, 207, 291, 62, 146, 230, 314, 49, 133, 217, 301, 31, 115, 199, 283)(21, 105, 189, 273, 41, 125, 209, 293, 24, 108, 192, 276, 46, 130, 214, 298, 68, 152, 236, 320, 44, 128, 212, 296, 22, 106, 190, 274, 43, 127, 211, 295, 25, 109, 193, 277, 47, 131, 215, 299, 28, 112, 196, 280, 51, 135, 219, 303, 60, 144, 228, 312, 42, 126, 210, 294)(52, 136, 220, 304, 71, 155, 239, 323, 54, 138, 222, 306, 75, 159, 243, 327, 59, 143, 227, 311, 74, 158, 242, 326, 53, 137, 221, 305, 73, 157, 241, 325, 55, 139, 223, 307, 76, 160, 244, 328, 56, 140, 224, 308, 77, 161, 245, 329, 58, 142, 226, 310, 72, 156, 240, 324)(63, 147, 231, 315, 78, 162, 246, 330, 65, 149, 233, 317, 82, 166, 250, 334, 70, 154, 238, 322, 81, 165, 249, 333, 64, 148, 232, 316, 80, 164, 248, 332, 66, 150, 234, 318, 83, 167, 251, 335, 67, 151, 235, 319, 84, 168, 252, 336, 69, 153, 237, 321, 79, 163, 247, 331)
	L = (1, 86)(2, 85)(3, 93)(4, 96)(5, 99)(6, 102)(7, 105)(8, 108)(9, 87)(10, 109)(11, 112)(12, 88)(13, 111)(14, 110)(15, 89)(16, 103)(17, 107)(18, 90)(19, 100)(20, 123)(21, 91)(22, 122)(23, 101)(24, 92)(25, 94)(26, 98)(27, 97)(28, 95)(29, 134)(30, 136)(31, 138)(32, 139)(33, 140)(34, 133)(35, 142)(36, 137)(37, 141)(38, 106)(39, 104)(40, 145)(41, 147)(42, 149)(43, 150)(44, 151)(45, 144)(46, 153)(47, 148)(48, 152)(49, 118)(50, 113)(51, 154)(52, 114)(53, 120)(54, 115)(55, 116)(56, 117)(57, 121)(58, 119)(59, 146)(60, 129)(61, 124)(62, 143)(63, 125)(64, 131)(65, 126)(66, 127)(67, 128)(68, 132)(69, 130)(70, 135)(71, 163)(72, 162)(73, 164)(74, 167)(75, 168)(76, 165)(77, 166)(78, 156)(79, 155)(80, 157)(81, 160)(82, 161)(83, 158)(84, 159)(169, 255)(170, 258)(171, 253)(172, 265)(173, 268)(174, 254)(175, 274)(176, 277)(177, 278)(178, 273)(179, 276)(180, 271)(181, 256)(182, 281)(183, 272)(184, 257)(185, 270)(186, 269)(187, 264)(188, 267)(189, 262)(190, 259)(191, 292)(192, 263)(193, 260)(194, 261)(195, 301)(196, 300)(197, 266)(198, 305)(199, 307)(200, 304)(201, 306)(202, 309)(203, 311)(204, 310)(205, 291)(206, 312)(207, 289)(208, 275)(209, 316)(210, 318)(211, 315)(212, 317)(213, 320)(214, 322)(215, 321)(216, 280)(217, 279)(218, 313)(219, 319)(220, 284)(221, 282)(222, 285)(223, 283)(224, 314)(225, 286)(226, 288)(227, 287)(228, 290)(229, 302)(230, 308)(231, 295)(232, 293)(233, 296)(234, 294)(235, 303)(236, 297)(237, 299)(238, 298)(239, 333)(240, 332)(241, 331)(242, 330)(243, 334)(244, 336)(245, 335)(246, 326)(247, 325)(248, 324)(249, 323)(250, 327)(251, 329)(252, 328)
	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 E19.1729
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 168 f = 126
	degree seq :: [ 56^6 ]

E19.1733 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 14})
Quotient :: dipole
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3 * Y1 * Y2)^2, (Y2 * Y1)^6, Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 85, 2, 86)(3, 87, 7, 91)(4, 88, 9, 93)(5, 89, 10, 94)(6, 90, 12, 96)(8, 92, 15, 99)(11, 95, 20, 104)(13, 97, 23, 107)(14, 98, 21, 105)(16, 100, 19, 103)(17, 101, 28, 112)(18, 102, 29, 113)(22, 106, 34, 118)(24, 108, 37, 121)(25, 109, 36, 120)(26, 110, 39, 123)(27, 111, 40, 124)(30, 114, 44, 128)(31, 115, 43, 127)(32, 116, 46, 130)(33, 117, 47, 131)(35, 119, 42, 126)(38, 122, 52, 136)(41, 125, 56, 140)(45, 129, 60, 144)(48, 132, 64, 148)(49, 133, 58, 142)(50, 134, 57, 141)(51, 135, 62, 146)(53, 137, 68, 152)(54, 138, 59, 143)(55, 139, 70, 154)(61, 145, 75, 159)(63, 147, 77, 161)(65, 149, 73, 157)(66, 150, 72, 156)(67, 151, 80, 164)(69, 153, 82, 166)(71, 155, 84, 168)(74, 158, 81, 165)(76, 160, 83, 167)(78, 162, 79, 163)(169, 253, 171, 255)(170, 254, 173, 257)(172, 256, 176, 260)(174, 258, 179, 263)(175, 259, 181, 265)(177, 261, 184, 268)(178, 262, 186, 270)(180, 264, 189, 273)(182, 266, 192, 276)(183, 267, 193, 277)(185, 269, 195, 279)(187, 271, 198, 282)(188, 272, 199, 283)(190, 274, 201, 285)(191, 275, 203, 287)(194, 278, 206, 290)(196, 280, 207, 291)(197, 281, 210, 294)(200, 284, 213, 297)(202, 286, 214, 298)(204, 288, 217, 301)(205, 289, 218, 302)(208, 292, 222, 306)(209, 293, 221, 305)(211, 295, 225, 309)(212, 296, 226, 310)(215, 299, 230, 314)(216, 300, 229, 313)(219, 303, 233, 317)(220, 304, 234, 318)(223, 307, 237, 321)(224, 308, 238, 322)(227, 311, 240, 324)(228, 312, 241, 325)(231, 315, 244, 328)(232, 316, 245, 329)(235, 319, 247, 331)(236, 320, 248, 332)(239, 323, 251, 335)(242, 326, 252, 336)(243, 327, 249, 333)(246, 330, 250, 334)
	L = (1, 172)(2, 174)(3, 176)(4, 169)(5, 179)(6, 170)(7, 182)(8, 171)(9, 185)(10, 187)(11, 173)(12, 190)(13, 192)(14, 175)(15, 194)(16, 195)(17, 177)(18, 198)(19, 178)(20, 200)(21, 201)(22, 180)(23, 204)(24, 181)(25, 206)(26, 183)(27, 184)(28, 209)(29, 211)(30, 186)(31, 213)(32, 188)(33, 189)(34, 216)(35, 217)(36, 191)(37, 219)(38, 193)(39, 221)(40, 223)(41, 196)(42, 225)(43, 197)(44, 227)(45, 199)(46, 229)(47, 231)(48, 202)(49, 203)(50, 233)(51, 205)(52, 235)(53, 207)(54, 237)(55, 208)(56, 239)(57, 210)(58, 240)(59, 212)(60, 242)(61, 214)(62, 244)(63, 215)(64, 246)(65, 218)(66, 247)(67, 220)(68, 249)(69, 222)(70, 251)(71, 224)(72, 226)(73, 252)(74, 228)(75, 248)(76, 230)(77, 250)(78, 232)(79, 234)(80, 243)(81, 236)(82, 245)(83, 238)(84, 241)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.1737
Graph:: simple bipartite
	v = 84 e = 168 f = 48
	degree seq :: [ 4^84 ]

E19.1734 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 14})
Quotient :: dipole
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2, (Y3 * Y1 * Y3)^2, Y3^6, (Y3 * Y1 * Y3^-1 * Y2)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 85, 2, 86)(3, 87, 9, 93)(4, 88, 12, 96)(5, 89, 14, 98)(6, 90, 16, 100)(7, 91, 19, 103)(8, 92, 21, 105)(10, 94, 24, 108)(11, 95, 26, 110)(13, 97, 22, 106)(15, 99, 20, 104)(17, 101, 33, 117)(18, 102, 35, 119)(23, 107, 36, 120)(25, 109, 34, 118)(27, 111, 32, 116)(28, 112, 45, 129)(29, 113, 46, 130)(30, 114, 41, 125)(31, 115, 47, 131)(37, 121, 52, 136)(38, 122, 53, 137)(39, 123, 48, 132)(40, 124, 54, 138)(42, 126, 55, 139)(43, 127, 56, 140)(44, 128, 57, 141)(49, 133, 61, 145)(50, 134, 62, 146)(51, 135, 63, 147)(58, 142, 70, 154)(59, 143, 71, 155)(60, 144, 72, 156)(64, 148, 76, 160)(65, 149, 77, 161)(66, 150, 78, 162)(67, 151, 79, 163)(68, 152, 80, 164)(69, 153, 81, 165)(73, 157, 83, 167)(74, 158, 82, 166)(75, 159, 84, 168)(169, 253, 171, 255)(170, 254, 174, 258)(172, 256, 179, 263)(173, 257, 178, 262)(175, 259, 186, 270)(176, 260, 185, 269)(177, 261, 188, 272)(180, 264, 195, 279)(181, 265, 184, 268)(182, 266, 194, 278)(183, 267, 193, 277)(187, 271, 204, 288)(189, 273, 203, 287)(190, 274, 202, 286)(191, 275, 207, 291)(192, 276, 209, 293)(196, 280, 212, 296)(197, 281, 211, 295)(198, 282, 200, 284)(199, 283, 210, 294)(201, 285, 216, 300)(205, 289, 219, 303)(206, 290, 218, 302)(208, 292, 217, 301)(213, 297, 223, 307)(214, 298, 225, 309)(215, 299, 224, 308)(220, 304, 229, 313)(221, 305, 231, 315)(222, 306, 230, 314)(226, 310, 236, 320)(227, 311, 235, 319)(228, 312, 237, 321)(232, 316, 242, 326)(233, 317, 241, 325)(234, 318, 243, 327)(238, 322, 249, 333)(239, 323, 248, 332)(240, 324, 247, 331)(244, 328, 252, 336)(245, 329, 250, 334)(246, 330, 251, 335)
	L = (1, 172)(2, 175)(3, 178)(4, 181)(5, 169)(6, 185)(7, 188)(8, 170)(9, 186)(10, 193)(11, 171)(12, 196)(13, 198)(14, 199)(15, 173)(16, 179)(17, 202)(18, 174)(19, 205)(20, 207)(21, 208)(22, 176)(23, 177)(24, 210)(25, 200)(26, 212)(27, 211)(28, 182)(29, 180)(30, 183)(31, 209)(32, 184)(33, 217)(34, 191)(35, 219)(36, 218)(37, 189)(38, 187)(39, 190)(40, 216)(41, 197)(42, 194)(43, 192)(44, 195)(45, 226)(46, 228)(47, 227)(48, 206)(49, 203)(50, 201)(51, 204)(52, 232)(53, 234)(54, 233)(55, 235)(56, 237)(57, 236)(58, 214)(59, 213)(60, 215)(61, 241)(62, 243)(63, 242)(64, 221)(65, 220)(66, 222)(67, 224)(68, 223)(69, 225)(70, 250)(71, 252)(72, 251)(73, 230)(74, 229)(75, 231)(76, 248)(77, 249)(78, 247)(79, 244)(80, 245)(81, 246)(82, 239)(83, 238)(84, 240)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E19.1738
Graph:: simple bipartite
	v = 84 e = 168 f = 48
	degree seq :: [ 4^84 ]

E19.1735 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 14})
Quotient :: dipole
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2 * Y1 * Y3 * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1)^14 ]
Map:: polytopal non-degenerate
	R = (1, 85, 2, 86)(3, 87, 7, 91)(4, 88, 9, 93)(5, 89, 10, 94)(6, 90, 12, 96)(8, 92, 15, 99)(11, 95, 20, 104)(13, 97, 23, 107)(14, 98, 25, 109)(16, 100, 28, 112)(17, 101, 30, 114)(18, 102, 31, 115)(19, 103, 33, 117)(21, 105, 36, 120)(22, 106, 38, 122)(24, 108, 41, 125)(26, 110, 44, 128)(27, 111, 37, 121)(29, 113, 35, 119)(32, 116, 50, 134)(34, 118, 53, 137)(39, 123, 57, 141)(40, 124, 59, 143)(42, 126, 62, 146)(43, 127, 63, 147)(45, 129, 61, 145)(46, 130, 66, 150)(47, 131, 68, 152)(48, 132, 69, 153)(49, 133, 71, 155)(51, 135, 74, 158)(52, 136, 75, 159)(54, 138, 73, 157)(55, 139, 78, 162)(56, 140, 80, 164)(58, 142, 76, 160)(60, 144, 72, 156)(64, 148, 70, 154)(65, 149, 79, 163)(67, 151, 77, 161)(81, 165, 84, 168)(82, 166, 83, 167)(169, 253, 171, 255)(170, 254, 173, 257)(172, 256, 176, 260)(174, 258, 179, 263)(175, 259, 181, 265)(177, 261, 184, 268)(178, 262, 186, 270)(180, 264, 189, 273)(182, 266, 192, 276)(183, 267, 194, 278)(185, 269, 197, 281)(187, 271, 200, 284)(188, 272, 202, 286)(190, 274, 205, 289)(191, 275, 207, 291)(193, 277, 210, 294)(195, 279, 213, 297)(196, 280, 214, 298)(198, 282, 211, 295)(199, 283, 216, 300)(201, 285, 219, 303)(203, 287, 222, 306)(204, 288, 223, 307)(206, 290, 220, 304)(208, 292, 226, 310)(209, 293, 228, 312)(212, 296, 232, 316)(215, 299, 235, 319)(217, 301, 238, 322)(218, 302, 240, 324)(221, 305, 244, 328)(224, 308, 247, 331)(225, 309, 248, 332)(227, 311, 239, 323)(229, 313, 249, 333)(230, 314, 246, 330)(231, 315, 243, 327)(233, 317, 250, 334)(234, 318, 242, 326)(236, 320, 237, 321)(241, 325, 251, 335)(245, 329, 252, 336)
	L = (1, 172)(2, 174)(3, 176)(4, 169)(5, 179)(6, 170)(7, 182)(8, 171)(9, 185)(10, 187)(11, 173)(12, 190)(13, 192)(14, 175)(15, 195)(16, 197)(17, 177)(18, 200)(19, 178)(20, 203)(21, 205)(22, 180)(23, 208)(24, 181)(25, 211)(26, 213)(27, 183)(28, 215)(29, 184)(30, 210)(31, 217)(32, 186)(33, 220)(34, 222)(35, 188)(36, 224)(37, 189)(38, 219)(39, 226)(40, 191)(41, 229)(42, 198)(43, 193)(44, 233)(45, 194)(46, 235)(47, 196)(48, 238)(49, 199)(50, 241)(51, 206)(52, 201)(53, 245)(54, 202)(55, 247)(56, 204)(57, 242)(58, 207)(59, 243)(60, 249)(61, 209)(62, 237)(63, 239)(64, 250)(65, 212)(66, 248)(67, 214)(68, 246)(69, 230)(70, 216)(71, 231)(72, 251)(73, 218)(74, 225)(75, 227)(76, 252)(77, 221)(78, 236)(79, 223)(80, 234)(81, 228)(82, 232)(83, 240)(84, 244)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E19.1736
Graph:: simple bipartite
	v = 84 e = 168 f = 48
	degree seq :: [ 4^84 ]

E19.1736 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 14})
Quotient :: dipole
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y2 * Y1^2 * Y2 * Y1^-2, Y2 * Y1^-3 * Y2 * Y1^-1 * Y2 * Y1^-3, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1, Y1^14 ]
Map:: polytopal non-degenerate
	R = (1, 85, 2, 86, 6, 90, 15, 99, 30, 114, 51, 135, 72, 156, 66, 150, 79, 163, 63, 147, 50, 134, 29, 113, 14, 98, 5, 89)(3, 87, 9, 93, 16, 100, 33, 117, 52, 136, 48, 132, 62, 146, 38, 122, 60, 144, 35, 119, 58, 142, 45, 129, 25, 109, 11, 95)(4, 88, 12, 96, 26, 110, 46, 130, 69, 153, 81, 165, 84, 168, 82, 166, 83, 167, 73, 157, 53, 137, 32, 116, 17, 101, 8, 92)(7, 91, 18, 102, 31, 115, 54, 138, 44, 128, 24, 108, 41, 125, 21, 105, 39, 123, 56, 140, 49, 133, 28, 112, 13, 97, 20, 104)(10, 94, 23, 107, 42, 126, 67, 151, 77, 161, 59, 143, 78, 162, 61, 145, 80, 164, 71, 155, 74, 158, 57, 141, 34, 118, 22, 106)(19, 103, 37, 121, 27, 111, 47, 131, 70, 154, 76, 160, 64, 148, 40, 124, 65, 149, 43, 127, 68, 152, 75, 159, 55, 139, 36, 120)(169, 253, 171, 255)(170, 254, 175, 259)(172, 256, 178, 262)(173, 257, 181, 265)(174, 258, 184, 268)(176, 260, 187, 271)(177, 261, 189, 273)(179, 263, 192, 276)(180, 264, 195, 279)(182, 266, 193, 277)(183, 267, 199, 283)(185, 269, 202, 286)(186, 270, 203, 287)(188, 272, 206, 290)(190, 274, 208, 292)(191, 275, 211, 295)(194, 278, 210, 294)(196, 280, 216, 300)(197, 281, 217, 301)(198, 282, 220, 304)(200, 284, 223, 307)(201, 285, 224, 308)(204, 288, 227, 311)(205, 289, 229, 313)(207, 291, 231, 315)(209, 293, 234, 318)(212, 296, 219, 303)(213, 297, 222, 306)(214, 298, 238, 322)(215, 299, 239, 323)(218, 302, 226, 310)(221, 305, 242, 326)(225, 309, 244, 328)(228, 312, 247, 331)(230, 314, 240, 324)(232, 316, 249, 333)(233, 317, 250, 334)(235, 319, 243, 327)(236, 320, 241, 325)(237, 321, 245, 329)(246, 330, 252, 336)(248, 332, 251, 335)
	L = (1, 172)(2, 176)(3, 178)(4, 169)(5, 180)(6, 185)(7, 187)(8, 170)(9, 190)(10, 171)(11, 191)(12, 173)(13, 195)(14, 194)(15, 200)(16, 202)(17, 174)(18, 204)(19, 175)(20, 205)(21, 208)(22, 177)(23, 179)(24, 211)(25, 210)(26, 182)(27, 181)(28, 215)(29, 214)(30, 221)(31, 223)(32, 183)(33, 225)(34, 184)(35, 227)(36, 186)(37, 188)(38, 229)(39, 232)(40, 189)(41, 233)(42, 193)(43, 192)(44, 236)(45, 235)(46, 197)(47, 196)(48, 239)(49, 238)(50, 237)(51, 241)(52, 242)(53, 198)(54, 243)(55, 199)(56, 244)(57, 201)(58, 245)(59, 203)(60, 246)(61, 206)(62, 248)(63, 249)(64, 207)(65, 209)(66, 250)(67, 213)(68, 212)(69, 218)(70, 217)(71, 216)(72, 251)(73, 219)(74, 220)(75, 222)(76, 224)(77, 226)(78, 228)(79, 252)(80, 230)(81, 231)(82, 234)(83, 240)(84, 247)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4^4 ), ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E19.1735
Graph:: simple bipartite
	v = 48 e = 168 f = 84
	degree seq :: [ 4^42, 28^6 ]

E19.1737 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 14})
Quotient :: dipole
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^3 * Y3 * Y2 * Y1 * Y2 * Y1^-3, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^14 ]
Map:: polytopal non-degenerate
	R = (1, 85, 2, 86, 6, 90, 15, 99, 30, 114, 51, 135, 78, 162, 83, 167, 84, 168, 77, 161, 50, 134, 29, 113, 14, 98, 5, 89)(3, 87, 9, 93, 21, 105, 39, 123, 63, 147, 61, 145, 80, 164, 59, 143, 81, 165, 74, 158, 52, 136, 34, 118, 16, 100, 11, 95)(4, 88, 12, 96, 26, 110, 46, 130, 72, 156, 71, 155, 79, 163, 66, 150, 82, 166, 69, 153, 53, 137, 32, 116, 17, 101, 8, 92)(7, 91, 18, 102, 13, 97, 28, 112, 48, 132, 75, 159, 70, 154, 44, 128, 67, 151, 42, 126, 68, 152, 55, 139, 31, 115, 20, 104)(10, 94, 24, 108, 33, 117, 56, 140, 76, 160, 49, 133, 60, 144, 35, 119, 58, 142, 38, 122, 62, 146, 65, 149, 40, 124, 23, 107)(19, 103, 37, 121, 54, 138, 64, 148, 43, 127, 22, 106, 41, 125, 25, 109, 45, 129, 57, 141, 73, 157, 47, 131, 27, 111, 36, 120)(169, 253, 171, 255)(170, 254, 175, 259)(172, 256, 178, 262)(173, 257, 181, 265)(174, 258, 184, 268)(176, 260, 187, 271)(177, 261, 190, 274)(179, 263, 193, 277)(180, 264, 195, 279)(182, 266, 189, 273)(183, 267, 199, 283)(185, 269, 201, 285)(186, 270, 203, 287)(188, 272, 206, 290)(191, 275, 210, 294)(192, 276, 212, 296)(194, 278, 208, 292)(196, 280, 217, 301)(197, 281, 216, 300)(198, 282, 220, 304)(200, 284, 222, 306)(202, 286, 225, 309)(204, 288, 227, 311)(205, 289, 229, 313)(207, 291, 232, 316)(209, 293, 234, 318)(211, 295, 237, 321)(213, 297, 239, 323)(214, 298, 241, 325)(215, 299, 242, 326)(218, 302, 231, 315)(219, 303, 236, 320)(221, 305, 244, 328)(223, 307, 233, 317)(224, 308, 243, 327)(226, 310, 247, 331)(228, 312, 250, 334)(230, 314, 240, 324)(235, 319, 251, 335)(238, 322, 245, 329)(246, 330, 249, 333)(248, 332, 252, 336)
	L = (1, 172)(2, 176)(3, 178)(4, 169)(5, 180)(6, 185)(7, 187)(8, 170)(9, 191)(10, 171)(11, 192)(12, 173)(13, 195)(14, 194)(15, 200)(16, 201)(17, 174)(18, 204)(19, 175)(20, 205)(21, 208)(22, 210)(23, 177)(24, 179)(25, 212)(26, 182)(27, 181)(28, 215)(29, 214)(30, 221)(31, 222)(32, 183)(33, 184)(34, 224)(35, 227)(36, 186)(37, 188)(38, 229)(39, 233)(40, 189)(41, 235)(42, 190)(43, 236)(44, 193)(45, 238)(46, 197)(47, 196)(48, 241)(49, 242)(50, 240)(51, 237)(52, 244)(53, 198)(54, 199)(55, 232)(56, 202)(57, 243)(58, 248)(59, 203)(60, 249)(61, 206)(62, 231)(63, 230)(64, 223)(65, 207)(66, 251)(67, 209)(68, 211)(69, 219)(70, 213)(71, 245)(72, 218)(73, 216)(74, 217)(75, 225)(76, 220)(77, 239)(78, 250)(79, 252)(80, 226)(81, 228)(82, 246)(83, 234)(84, 247)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4^4 ), ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E19.1733
Graph:: simple bipartite
	v = 48 e = 168 f = 84
	degree seq :: [ 4^42, 28^6 ]

E19.1738 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 14})
Quotient :: dipole
Aut^+ = S3 x D14 (small group id <84, 8>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y3^-2 * Y1^-1 * Y2, Y1 * R * Y2 * R * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y3^6, Y3^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y1^2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2, Y1^4 * Y2 * Y1^-1 * Y3 * Y1^2, Y1^-1 * Y3^-1 * Y1 * Y2 * Y3^2 * Y1^2 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 85, 2, 86, 7, 91, 21, 105, 44, 128, 59, 143, 33, 117, 14, 98, 28, 112, 50, 134, 68, 152, 43, 127, 19, 103, 5, 89)(3, 87, 11, 95, 31, 115, 57, 141, 46, 130, 24, 108, 9, 93, 6, 90, 18, 102, 42, 126, 67, 151, 49, 133, 22, 106, 13, 97)(4, 88, 15, 99, 37, 121, 63, 147, 45, 129, 27, 111, 8, 92, 25, 109, 17, 101, 41, 125, 66, 150, 47, 131, 23, 107, 10, 94)(12, 96, 35, 119, 48, 132, 72, 156, 75, 159, 61, 145, 32, 116, 20, 104, 29, 113, 52, 136, 70, 154, 76, 160, 58, 142, 34, 118)(16, 100, 30, 114, 51, 135, 71, 155, 79, 163, 65, 149, 38, 122, 53, 137, 26, 110, 54, 138, 69, 153, 80, 164, 64, 148, 39, 123)(36, 120, 62, 146, 77, 161, 84, 168, 82, 166, 74, 158, 56, 140, 40, 124, 60, 144, 78, 162, 83, 167, 81, 165, 73, 157, 55, 139)(169, 253, 171, 255)(170, 254, 176, 260)(172, 256, 182, 266)(173, 257, 185, 269)(174, 258, 180, 264)(175, 259, 190, 274)(177, 261, 196, 280)(178, 262, 194, 278)(179, 263, 200, 284)(181, 265, 197, 281)(183, 267, 206, 290)(184, 268, 193, 277)(186, 270, 201, 285)(187, 271, 199, 283)(188, 272, 204, 288)(189, 273, 213, 297)(191, 275, 218, 302)(192, 276, 216, 300)(195, 279, 219, 303)(198, 282, 223, 307)(202, 286, 228, 312)(203, 287, 224, 308)(205, 289, 227, 311)(207, 291, 230, 314)(208, 292, 221, 305)(209, 293, 232, 316)(210, 294, 226, 310)(211, 295, 234, 318)(212, 296, 235, 319)(214, 298, 236, 320)(215, 299, 237, 321)(217, 301, 238, 322)(220, 304, 241, 325)(222, 306, 242, 326)(225, 309, 243, 327)(229, 313, 245, 329)(231, 315, 247, 331)(233, 317, 246, 330)(239, 323, 249, 333)(240, 324, 250, 334)(244, 328, 251, 335)(248, 332, 252, 336)
	L = (1, 172)(2, 177)(3, 180)(4, 184)(5, 186)(6, 169)(7, 191)(8, 194)(9, 197)(10, 170)(11, 201)(12, 204)(13, 196)(14, 171)(15, 173)(16, 208)(17, 206)(18, 200)(19, 205)(20, 174)(21, 214)(22, 216)(23, 219)(24, 175)(25, 182)(26, 223)(27, 218)(28, 176)(29, 224)(30, 178)(31, 226)(32, 228)(33, 185)(34, 179)(35, 181)(36, 221)(37, 232)(38, 230)(39, 183)(40, 188)(41, 227)(42, 187)(43, 235)(44, 234)(45, 237)(46, 238)(47, 189)(48, 241)(49, 236)(50, 190)(51, 242)(52, 192)(53, 193)(54, 195)(55, 203)(56, 198)(57, 212)(58, 245)(59, 199)(60, 207)(61, 210)(62, 202)(63, 211)(64, 246)(65, 209)(66, 247)(67, 243)(68, 213)(69, 249)(70, 250)(71, 215)(72, 217)(73, 222)(74, 220)(75, 251)(76, 225)(77, 233)(78, 229)(79, 252)(80, 231)(81, 240)(82, 239)(83, 248)(84, 244)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4^4 ), ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E19.1734
Graph:: bipartite
	v = 48 e = 168 f = 84
	degree seq :: [ 4^42, 28^6 ]

E19.1739 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 15, 30})
Quotient :: regular
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2, T2 * T1^-3 * T2 * T1^-11 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 61, 73, 85, 79, 67, 55, 41, 54, 40, 53, 39, 52, 66, 78, 90, 84, 72, 60, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 62, 75, 86, 82, 70, 58, 44, 29, 38, 24, 37, 23, 36, 50, 65, 76, 89, 81, 69, 57, 43, 28, 17, 8)(6, 13, 21, 34, 48, 63, 74, 87, 80, 68, 56, 42, 27, 16, 26, 15, 25, 35, 51, 64, 77, 88, 83, 71, 59, 45, 30, 18, 9, 14)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 55)(45, 58)(46, 59)(47, 62)(49, 64)(51, 66)(56, 67)(57, 68)(60, 69)(61, 74)(63, 76)(65, 78)(70, 79)(71, 82)(72, 83)(73, 86)(75, 88)(77, 90)(80, 85)(81, 87)(84, 89)
	local type(s) :: { ( 15^30 ) }
Outer automorphisms :: reflexible
Dual of E19.1740
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 3 e = 45 f = 6
	degree seq :: [ 30^3 ]

E19.1740 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 15, 30})
Quotient :: regular
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|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, T1^15 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 76, 64, 52, 38, 22, 10, 4)(3, 7, 15, 24, 41, 56, 66, 78, 84, 73, 61, 49, 35, 18, 8)(6, 13, 27, 40, 55, 68, 77, 86, 75, 63, 51, 37, 21, 30, 14)(9, 19, 26, 12, 25, 42, 54, 67, 79, 85, 74, 62, 50, 36, 20)(16, 28, 43, 57, 69, 80, 87, 90, 83, 72, 60, 48, 34, 46, 32)(17, 29, 44, 31, 45, 58, 70, 81, 88, 89, 82, 71, 59, 47, 33)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 34)(19, 32)(20, 33)(22, 35)(23, 40)(25, 43)(26, 44)(27, 45)(30, 46)(36, 48)(37, 47)(38, 50)(39, 54)(41, 57)(42, 58)(49, 59)(51, 60)(52, 63)(53, 66)(55, 69)(56, 70)(61, 72)(62, 71)(64, 73)(65, 77)(67, 80)(68, 81)(74, 83)(75, 82)(76, 85)(78, 87)(79, 88)(84, 89)(86, 90)
	local type(s) :: { ( 30^15 ) }
Outer automorphisms :: reflexible
Dual of E19.1739
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 45 f = 3
	degree seq :: [ 15^6 ]

E19.1741 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 15, 30})
Quotient :: edge
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1 * T2^-2, T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1, T2^15 ]
Map::
	R = (1, 3, 8, 18, 35, 49, 61, 73, 76, 64, 52, 38, 22, 10, 4)(2, 5, 12, 26, 43, 55, 67, 79, 82, 70, 58, 46, 30, 14, 6)(7, 15, 31, 47, 59, 71, 83, 86, 75, 63, 51, 37, 21, 32, 16)(9, 19, 34, 17, 33, 48, 60, 72, 84, 85, 74, 62, 50, 36, 20)(11, 23, 39, 53, 65, 77, 87, 90, 81, 69, 57, 45, 29, 40, 24)(13, 27, 42, 25, 41, 54, 66, 78, 88, 89, 80, 68, 56, 44, 28)(91, 92)(93, 97)(94, 99)(95, 101)(96, 103)(98, 107)(100, 111)(102, 115)(104, 119)(105, 113)(106, 117)(108, 116)(109, 114)(110, 118)(112, 120)(121, 131)(122, 130)(123, 129)(124, 132)(125, 137)(126, 135)(127, 134)(128, 140)(133, 143)(136, 146)(138, 144)(139, 150)(141, 147)(142, 153)(145, 156)(148, 159)(149, 155)(151, 157)(152, 158)(154, 160)(161, 168)(162, 167)(163, 173)(164, 171)(165, 170)(166, 175)(169, 177)(172, 179)(174, 178)(176, 180)
	L = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 60, 60 ), ( 60^15 ) }
Outer automorphisms :: reflexible
Dual of E19.1745
Transitivity :: ET+
Graph:: simple bipartite
	v = 51 e = 90 f = 3
	degree seq :: [ 2^45, 15^6 ]

E19.1742 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 15, 30})
Quotient :: edge
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2 * T1^-1 * T2^-3 * T1^-1, T1^-1 * T2^-3 * T1^-1 * T2, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-3, T2^-1 * T1^2 * T2^-1 * T1^3 * T2^-2 * T1^3 * T2^-1 * T1 * T2^-1, T2^-1 * T1^2 * T2^-1 * T1^11, T1^-1 * T2 * T1^-1 * T2^27 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 47, 61, 73, 85, 84, 69, 57, 36, 16, 35, 55, 38, 58, 42, 31, 52, 66, 78, 90, 80, 67, 59, 44, 21, 15, 5)(2, 7, 19, 11, 27, 48, 63, 74, 87, 81, 70, 54, 34, 32, 46, 23, 45, 29, 13, 30, 50, 65, 76, 89, 79, 71, 60, 39, 22, 8)(4, 12, 26, 49, 62, 75, 86, 83, 72, 56, 40, 18, 6, 17, 37, 20, 41, 28, 51, 64, 77, 88, 82, 68, 53, 43, 33, 14, 24, 9)(91, 92, 96, 106, 124, 143, 157, 169, 176, 163, 153, 141, 121, 103, 94)(93, 99, 113, 125, 108, 129, 149, 158, 171, 175, 165, 155, 142, 118, 101)(95, 104, 122, 126, 146, 161, 170, 178, 164, 151, 139, 120, 132, 110, 97)(98, 111, 133, 144, 159, 173, 179, 168, 154, 138, 115, 102, 119, 128, 107)(100, 109, 127, 145, 136, 123, 134, 150, 162, 174, 177, 167, 156, 140, 116)(105, 112, 130, 147, 160, 172, 180, 166, 152, 137, 117, 131, 148, 135, 114)
	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) :: { ( 4^15 ), ( 4^30 ) }
Outer automorphisms :: reflexible
Dual of E19.1746
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 90 f = 45
	degree seq :: [ 15^6, 30^3 ]

E19.1743 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 15, 30})
Quotient :: edge
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2, T2 * T1^-3 * T2 * T1^-11 * T2 * T1^-1 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 55)(45, 58)(46, 59)(47, 62)(49, 64)(51, 66)(56, 67)(57, 68)(60, 69)(61, 74)(63, 76)(65, 78)(70, 79)(71, 82)(72, 83)(73, 86)(75, 88)(77, 90)(80, 85)(81, 87)(84, 89)(91, 92, 95, 101, 110, 122, 137, 151, 163, 175, 169, 157, 145, 131, 144, 130, 143, 129, 142, 156, 168, 180, 174, 162, 150, 136, 121, 109, 100, 94)(93, 97, 102, 112, 123, 139, 152, 165, 176, 172, 160, 148, 134, 119, 128, 114, 127, 113, 126, 140, 155, 166, 179, 171, 159, 147, 133, 118, 107, 98)(96, 103, 111, 124, 138, 153, 164, 177, 170, 158, 146, 132, 117, 106, 116, 105, 115, 125, 141, 154, 167, 178, 173, 161, 149, 135, 120, 108, 99, 104)
	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) :: { ( 30, 30 ), ( 30^30 ) }
Outer automorphisms :: reflexible
Dual of E19.1744
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 90 f = 6
	degree seq :: [ 2^45, 30^3 ]

E19.1744 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 15, 30})
Quotient :: loop
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1 * T2^-2, T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1, T2^15 ]
Map::
	R = (1, 91, 3, 93, 8, 98, 18, 108, 35, 125, 49, 139, 61, 151, 73, 163, 76, 166, 64, 154, 52, 142, 38, 128, 22, 112, 10, 100, 4, 94)(2, 92, 5, 95, 12, 102, 26, 116, 43, 133, 55, 145, 67, 157, 79, 169, 82, 172, 70, 160, 58, 148, 46, 136, 30, 120, 14, 104, 6, 96)(7, 97, 15, 105, 31, 121, 47, 137, 59, 149, 71, 161, 83, 173, 86, 176, 75, 165, 63, 153, 51, 141, 37, 127, 21, 111, 32, 122, 16, 106)(9, 99, 19, 109, 34, 124, 17, 107, 33, 123, 48, 138, 60, 150, 72, 162, 84, 174, 85, 175, 74, 164, 62, 152, 50, 140, 36, 126, 20, 110)(11, 101, 23, 113, 39, 129, 53, 143, 65, 155, 77, 167, 87, 177, 90, 180, 81, 171, 69, 159, 57, 147, 45, 135, 29, 119, 40, 130, 24, 114)(13, 103, 27, 117, 42, 132, 25, 115, 41, 131, 54, 144, 66, 156, 78, 168, 88, 178, 89, 179, 80, 170, 68, 158, 56, 146, 44, 134, 28, 118)
	L = (1, 92)(2, 91)(3, 97)(4, 99)(5, 101)(6, 103)(7, 93)(8, 107)(9, 94)(10, 111)(11, 95)(12, 115)(13, 96)(14, 119)(15, 113)(16, 117)(17, 98)(18, 116)(19, 114)(20, 118)(21, 100)(22, 120)(23, 105)(24, 109)(25, 102)(26, 108)(27, 106)(28, 110)(29, 104)(30, 112)(31, 131)(32, 130)(33, 129)(34, 132)(35, 137)(36, 135)(37, 134)(38, 140)(39, 123)(40, 122)(41, 121)(42, 124)(43, 143)(44, 127)(45, 126)(46, 146)(47, 125)(48, 144)(49, 150)(50, 128)(51, 147)(52, 153)(53, 133)(54, 138)(55, 156)(56, 136)(57, 141)(58, 159)(59, 155)(60, 139)(61, 157)(62, 158)(63, 142)(64, 160)(65, 149)(66, 145)(67, 151)(68, 152)(69, 148)(70, 154)(71, 168)(72, 167)(73, 173)(74, 171)(75, 170)(76, 175)(77, 162)(78, 161)(79, 177)(80, 165)(81, 164)(82, 179)(83, 163)(84, 178)(85, 166)(86, 180)(87, 169)(88, 174)(89, 172)(90, 176)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.1743
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 90 f = 48
	degree seq :: [ 30^6 ]

E19.1745 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 15, 30})
Quotient :: loop
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2 * T1^-1 * T2^-3 * T1^-1, T1^-1 * T2^-3 * T1^-1 * T2, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-3, T2^-1 * T1^2 * T2^-1 * T1^3 * T2^-2 * T1^3 * T2^-1 * T1 * T2^-1, T2^-1 * T1^2 * T2^-1 * T1^11, T1^-1 * T2 * T1^-1 * T2^27 ]
Map::
	R = (1, 91, 3, 93, 10, 100, 25, 115, 47, 137, 61, 151, 73, 163, 85, 175, 84, 174, 69, 159, 57, 147, 36, 126, 16, 106, 35, 125, 55, 145, 38, 128, 58, 148, 42, 132, 31, 121, 52, 142, 66, 156, 78, 168, 90, 180, 80, 170, 67, 157, 59, 149, 44, 134, 21, 111, 15, 105, 5, 95)(2, 92, 7, 97, 19, 109, 11, 101, 27, 117, 48, 138, 63, 153, 74, 164, 87, 177, 81, 171, 70, 160, 54, 144, 34, 124, 32, 122, 46, 136, 23, 113, 45, 135, 29, 119, 13, 103, 30, 120, 50, 140, 65, 155, 76, 166, 89, 179, 79, 169, 71, 161, 60, 150, 39, 129, 22, 112, 8, 98)(4, 94, 12, 102, 26, 116, 49, 139, 62, 152, 75, 165, 86, 176, 83, 173, 72, 162, 56, 146, 40, 130, 18, 108, 6, 96, 17, 107, 37, 127, 20, 110, 41, 131, 28, 118, 51, 141, 64, 154, 77, 167, 88, 178, 82, 172, 68, 158, 53, 143, 43, 133, 33, 123, 14, 104, 24, 114, 9, 99)
	L = (1, 92)(2, 96)(3, 99)(4, 91)(5, 104)(6, 106)(7, 95)(8, 111)(9, 113)(10, 109)(11, 93)(12, 119)(13, 94)(14, 122)(15, 112)(16, 124)(17, 98)(18, 129)(19, 127)(20, 97)(21, 133)(22, 130)(23, 125)(24, 105)(25, 102)(26, 100)(27, 131)(28, 101)(29, 128)(30, 132)(31, 103)(32, 126)(33, 134)(34, 143)(35, 108)(36, 146)(37, 145)(38, 107)(39, 149)(40, 147)(41, 148)(42, 110)(43, 144)(44, 150)(45, 114)(46, 123)(47, 117)(48, 115)(49, 120)(50, 116)(51, 121)(52, 118)(53, 157)(54, 159)(55, 136)(56, 161)(57, 160)(58, 135)(59, 158)(60, 162)(61, 139)(62, 137)(63, 141)(64, 138)(65, 142)(66, 140)(67, 169)(68, 171)(69, 173)(70, 172)(71, 170)(72, 174)(73, 153)(74, 151)(75, 155)(76, 152)(77, 156)(78, 154)(79, 176)(80, 178)(81, 175)(82, 180)(83, 179)(84, 177)(85, 165)(86, 163)(87, 167)(88, 164)(89, 168)(90, 166)
	local type(s) :: { ( 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15 ) }
Outer automorphisms :: reflexible
Dual of E19.1741
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 90 f = 51
	degree seq :: [ 60^3 ]

E19.1746 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 15, 30})
Quotient :: loop
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2, T2 * T1^-3 * T2 * T1^-11 * 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, 15, 105)(8, 98, 16, 106)(10, 100, 17, 107)(11, 101, 21, 111)(13, 103, 23, 113)(14, 104, 24, 114)(18, 108, 29, 119)(19, 109, 30, 120)(20, 110, 33, 123)(22, 112, 35, 125)(25, 115, 39, 129)(26, 116, 40, 130)(27, 117, 41, 131)(28, 118, 42, 132)(31, 121, 43, 133)(32, 122, 48, 138)(34, 124, 50, 140)(36, 126, 52, 142)(37, 127, 53, 143)(38, 128, 54, 144)(44, 134, 55, 145)(45, 135, 58, 148)(46, 136, 59, 149)(47, 137, 62, 152)(49, 139, 64, 154)(51, 141, 66, 156)(56, 146, 67, 157)(57, 147, 68, 158)(60, 150, 69, 159)(61, 151, 74, 164)(63, 153, 76, 166)(65, 155, 78, 168)(70, 160, 79, 169)(71, 161, 82, 172)(72, 162, 83, 173)(73, 163, 86, 176)(75, 165, 88, 178)(77, 167, 90, 180)(80, 170, 85, 175)(81, 171, 87, 177)(84, 174, 89, 179)
	L = (1, 92)(2, 95)(3, 97)(4, 91)(5, 101)(6, 103)(7, 102)(8, 93)(9, 104)(10, 94)(11, 110)(12, 112)(13, 111)(14, 96)(15, 115)(16, 116)(17, 98)(18, 99)(19, 100)(20, 122)(21, 124)(22, 123)(23, 126)(24, 127)(25, 125)(26, 105)(27, 106)(28, 107)(29, 128)(30, 108)(31, 109)(32, 137)(33, 139)(34, 138)(35, 141)(36, 140)(37, 113)(38, 114)(39, 142)(40, 143)(41, 144)(42, 117)(43, 118)(44, 119)(45, 120)(46, 121)(47, 151)(48, 153)(49, 152)(50, 155)(51, 154)(52, 156)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 163)(62, 165)(63, 164)(64, 167)(65, 166)(66, 168)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 175)(74, 177)(75, 176)(76, 179)(77, 178)(78, 180)(79, 157)(80, 158)(81, 159)(82, 160)(83, 161)(84, 162)(85, 169)(86, 172)(87, 170)(88, 173)(89, 171)(90, 174)
	local type(s) :: { ( 15, 30, 15, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.1742
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 45 e = 90 f = 9
	degree seq :: [ 4^45 ]

E19.1747 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 15, 30})
Quotient :: dipole
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|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, Y2^15, (Y3 * Y2^-1)^30 ]
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, 26, 116)(19, 109, 24, 114)(20, 110, 28, 118)(22, 112, 30, 120)(31, 121, 41, 131)(32, 122, 40, 130)(33, 123, 39, 129)(34, 124, 42, 132)(35, 125, 47, 137)(36, 126, 45, 135)(37, 127, 44, 134)(38, 128, 50, 140)(43, 133, 53, 143)(46, 136, 56, 146)(48, 138, 54, 144)(49, 139, 60, 150)(51, 141, 57, 147)(52, 142, 63, 153)(55, 145, 66, 156)(58, 148, 69, 159)(59, 149, 65, 155)(61, 151, 67, 157)(62, 152, 68, 158)(64, 154, 70, 160)(71, 161, 78, 168)(72, 162, 77, 167)(73, 163, 83, 173)(74, 164, 81, 171)(75, 165, 80, 170)(76, 166, 85, 175)(79, 169, 87, 177)(82, 172, 89, 179)(84, 174, 88, 178)(86, 176, 90, 180)(181, 271, 183, 273, 188, 278, 198, 288, 215, 305, 229, 319, 241, 331, 253, 343, 256, 346, 244, 334, 232, 322, 218, 308, 202, 292, 190, 280, 184, 274)(182, 272, 185, 275, 192, 282, 206, 296, 223, 313, 235, 325, 247, 337, 259, 349, 262, 352, 250, 340, 238, 328, 226, 316, 210, 300, 194, 284, 186, 276)(187, 277, 195, 285, 211, 301, 227, 317, 239, 329, 251, 341, 263, 353, 266, 356, 255, 345, 243, 333, 231, 321, 217, 307, 201, 291, 212, 302, 196, 286)(189, 279, 199, 289, 214, 304, 197, 287, 213, 303, 228, 318, 240, 330, 252, 342, 264, 354, 265, 355, 254, 344, 242, 332, 230, 320, 216, 306, 200, 290)(191, 281, 203, 293, 219, 309, 233, 323, 245, 335, 257, 347, 267, 357, 270, 360, 261, 351, 249, 339, 237, 327, 225, 315, 209, 299, 220, 310, 204, 294)(193, 283, 207, 297, 222, 312, 205, 295, 221, 311, 234, 324, 246, 336, 258, 348, 268, 358, 269, 359, 260, 350, 248, 338, 236, 326, 224, 314, 208, 298)
	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, 206)(19, 204)(20, 208)(21, 190)(22, 210)(23, 195)(24, 199)(25, 192)(26, 198)(27, 196)(28, 200)(29, 194)(30, 202)(31, 221)(32, 220)(33, 219)(34, 222)(35, 227)(36, 225)(37, 224)(38, 230)(39, 213)(40, 212)(41, 211)(42, 214)(43, 233)(44, 217)(45, 216)(46, 236)(47, 215)(48, 234)(49, 240)(50, 218)(51, 237)(52, 243)(53, 223)(54, 228)(55, 246)(56, 226)(57, 231)(58, 249)(59, 245)(60, 229)(61, 247)(62, 248)(63, 232)(64, 250)(65, 239)(66, 235)(67, 241)(68, 242)(69, 238)(70, 244)(71, 258)(72, 257)(73, 263)(74, 261)(75, 260)(76, 265)(77, 252)(78, 251)(79, 267)(80, 255)(81, 254)(82, 269)(83, 253)(84, 268)(85, 256)(86, 270)(87, 259)(88, 264)(89, 262)(90, 266)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.1750
Graph:: bipartite
	v = 51 e = 180 f = 93
	degree seq :: [ 4^45, 30^6 ]

E19.1748 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 15, 30})
Quotient :: dipole
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y2^-3 * Y1^-1 * Y2 * Y1^-1, Y1^-3 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-1, Y2^-1 * Y1^2 * Y2^-1 * Y1^11, Y2^-1 * Y1^2 * Y2^-1 * Y1^3 * Y2^-2 * Y1^3 * Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y2 * Y1^-1 * Y2^27 ]
Map::
	R = (1, 91, 2, 92, 6, 96, 16, 106, 34, 124, 53, 143, 67, 157, 79, 169, 86, 176, 73, 163, 63, 153, 51, 141, 31, 121, 13, 103, 4, 94)(3, 93, 9, 99, 23, 113, 35, 125, 18, 108, 39, 129, 59, 149, 68, 158, 81, 171, 85, 175, 75, 165, 65, 155, 52, 142, 28, 118, 11, 101)(5, 95, 14, 104, 32, 122, 36, 126, 56, 146, 71, 161, 80, 170, 88, 178, 74, 164, 61, 151, 49, 139, 30, 120, 42, 132, 20, 110, 7, 97)(8, 98, 21, 111, 43, 133, 54, 144, 69, 159, 83, 173, 89, 179, 78, 168, 64, 154, 48, 138, 25, 115, 12, 102, 29, 119, 38, 128, 17, 107)(10, 100, 19, 109, 37, 127, 55, 145, 46, 136, 33, 123, 44, 134, 60, 150, 72, 162, 84, 174, 87, 177, 77, 167, 66, 156, 50, 140, 26, 116)(15, 105, 22, 112, 40, 130, 57, 147, 70, 160, 82, 172, 90, 180, 76, 166, 62, 152, 47, 137, 27, 117, 41, 131, 58, 148, 45, 135, 24, 114)(181, 271, 183, 273, 190, 280, 205, 295, 227, 317, 241, 331, 253, 343, 265, 355, 264, 354, 249, 339, 237, 327, 216, 306, 196, 286, 215, 305, 235, 325, 218, 308, 238, 328, 222, 312, 211, 301, 232, 322, 246, 336, 258, 348, 270, 360, 260, 350, 247, 337, 239, 329, 224, 314, 201, 291, 195, 285, 185, 275)(182, 272, 187, 277, 199, 289, 191, 281, 207, 297, 228, 318, 243, 333, 254, 344, 267, 357, 261, 351, 250, 340, 234, 324, 214, 304, 212, 302, 226, 316, 203, 293, 225, 315, 209, 299, 193, 283, 210, 300, 230, 320, 245, 335, 256, 346, 269, 359, 259, 349, 251, 341, 240, 330, 219, 309, 202, 292, 188, 278)(184, 274, 192, 282, 206, 296, 229, 319, 242, 332, 255, 345, 266, 356, 263, 353, 252, 342, 236, 326, 220, 310, 198, 288, 186, 276, 197, 287, 217, 307, 200, 290, 221, 311, 208, 298, 231, 321, 244, 334, 257, 347, 268, 358, 262, 352, 248, 338, 233, 323, 223, 313, 213, 303, 194, 284, 204, 294, 189, 279)
	L = (1, 183)(2, 187)(3, 190)(4, 192)(5, 181)(6, 197)(7, 199)(8, 182)(9, 184)(10, 205)(11, 207)(12, 206)(13, 210)(14, 204)(15, 185)(16, 215)(17, 217)(18, 186)(19, 191)(20, 221)(21, 195)(22, 188)(23, 225)(24, 189)(25, 227)(26, 229)(27, 228)(28, 231)(29, 193)(30, 230)(31, 232)(32, 226)(33, 194)(34, 212)(35, 235)(36, 196)(37, 200)(38, 238)(39, 202)(40, 198)(41, 208)(42, 211)(43, 213)(44, 201)(45, 209)(46, 203)(47, 241)(48, 243)(49, 242)(50, 245)(51, 244)(52, 246)(53, 223)(54, 214)(55, 218)(56, 220)(57, 216)(58, 222)(59, 224)(60, 219)(61, 253)(62, 255)(63, 254)(64, 257)(65, 256)(66, 258)(67, 239)(68, 233)(69, 237)(70, 234)(71, 240)(72, 236)(73, 265)(74, 267)(75, 266)(76, 269)(77, 268)(78, 270)(79, 251)(80, 247)(81, 250)(82, 248)(83, 252)(84, 249)(85, 264)(86, 263)(87, 261)(88, 262)(89, 259)(90, 260)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E19.1749
Graph:: bipartite
	v = 9 e = 180 f = 135
	degree seq :: [ 30^6, 60^3 ]

E19.1749 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 15, 30})
Quotient :: dipole
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^2 * Y2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^3 * Y2 * Y3^11 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^30 ]
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, 192, 282)(190, 280, 194, 284)(195, 285, 205, 295)(196, 286, 207, 297)(197, 287, 206, 296)(198, 288, 209, 299)(199, 289, 210, 300)(200, 290, 212, 302)(201, 291, 214, 304)(202, 292, 213, 303)(203, 293, 216, 306)(204, 294, 217, 307)(208, 298, 215, 305)(211, 301, 218, 308)(219, 309, 227, 317)(220, 310, 228, 318)(221, 311, 235, 325)(222, 312, 230, 320)(223, 313, 236, 326)(224, 314, 232, 322)(225, 315, 238, 328)(226, 316, 239, 329)(229, 319, 241, 331)(231, 321, 242, 332)(233, 323, 244, 334)(234, 324, 245, 335)(237, 327, 243, 333)(240, 330, 246, 336)(247, 337, 253, 343)(248, 338, 259, 349)(249, 339, 260, 350)(250, 340, 256, 346)(251, 341, 262, 352)(252, 342, 263, 353)(254, 344, 265, 355)(255, 345, 266, 356)(257, 347, 268, 358)(258, 348, 269, 359)(261, 351, 267, 357)(264, 354, 270, 360)
	L = (1, 183)(2, 185)(3, 188)(4, 181)(5, 192)(6, 182)(7, 195)(8, 197)(9, 196)(10, 184)(11, 200)(12, 202)(13, 201)(14, 186)(15, 206)(16, 187)(17, 208)(18, 189)(19, 190)(20, 213)(21, 191)(22, 215)(23, 193)(24, 194)(25, 219)(26, 221)(27, 220)(28, 223)(29, 222)(30, 198)(31, 199)(32, 227)(33, 229)(34, 228)(35, 231)(36, 230)(37, 203)(38, 204)(39, 235)(40, 205)(41, 236)(42, 207)(43, 237)(44, 209)(45, 210)(46, 211)(47, 241)(48, 212)(49, 242)(50, 214)(51, 243)(52, 216)(53, 217)(54, 218)(55, 247)(56, 248)(57, 249)(58, 224)(59, 225)(60, 226)(61, 253)(62, 254)(63, 255)(64, 232)(65, 233)(66, 234)(67, 259)(68, 260)(69, 261)(70, 238)(71, 239)(72, 240)(73, 265)(74, 266)(75, 267)(76, 244)(77, 245)(78, 246)(79, 270)(80, 269)(81, 268)(82, 250)(83, 251)(84, 252)(85, 264)(86, 263)(87, 262)(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) :: { ( 30, 60 ), ( 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.1748
Graph:: simple bipartite
	v = 135 e = 180 f = 9
	degree seq :: [ 2^90, 4^45 ]

E19.1750 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 15, 30})
Quotient :: dipole
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, (Y3 * Y1^-1 * Y3 * Y1 * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y1^-1 * Y3 * Y1^-3 * Y3 * Y1^-11, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 91, 2, 92, 5, 95, 11, 101, 20, 110, 32, 122, 47, 137, 61, 151, 73, 163, 85, 175, 79, 169, 67, 157, 55, 145, 41, 131, 54, 144, 40, 130, 53, 143, 39, 129, 52, 142, 66, 156, 78, 168, 90, 180, 84, 174, 72, 162, 60, 150, 46, 136, 31, 121, 19, 109, 10, 100, 4, 94)(3, 93, 7, 97, 12, 102, 22, 112, 33, 123, 49, 139, 62, 152, 75, 165, 86, 176, 82, 172, 70, 160, 58, 148, 44, 134, 29, 119, 38, 128, 24, 114, 37, 127, 23, 113, 36, 126, 50, 140, 65, 155, 76, 166, 89, 179, 81, 171, 69, 159, 57, 147, 43, 133, 28, 118, 17, 107, 8, 98)(6, 96, 13, 103, 21, 111, 34, 124, 48, 138, 63, 153, 74, 164, 87, 177, 80, 170, 68, 158, 56, 146, 42, 132, 27, 117, 16, 106, 26, 116, 15, 105, 25, 115, 35, 125, 51, 141, 64, 154, 77, 167, 88, 178, 83, 173, 71, 161, 59, 149, 45, 135, 30, 120, 18, 108, 9, 99, 14, 104)(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, 195)(8, 196)(9, 184)(10, 197)(11, 201)(12, 185)(13, 203)(14, 204)(15, 187)(16, 188)(17, 190)(18, 209)(19, 210)(20, 213)(21, 191)(22, 215)(23, 193)(24, 194)(25, 219)(26, 220)(27, 221)(28, 222)(29, 198)(30, 199)(31, 223)(32, 228)(33, 200)(34, 230)(35, 202)(36, 232)(37, 233)(38, 234)(39, 205)(40, 206)(41, 207)(42, 208)(43, 211)(44, 235)(45, 238)(46, 239)(47, 242)(48, 212)(49, 244)(50, 214)(51, 246)(52, 216)(53, 217)(54, 218)(55, 224)(56, 247)(57, 248)(58, 225)(59, 226)(60, 249)(61, 254)(62, 227)(63, 256)(64, 229)(65, 258)(66, 231)(67, 236)(68, 237)(69, 240)(70, 259)(71, 262)(72, 263)(73, 266)(74, 241)(75, 268)(76, 243)(77, 270)(78, 245)(79, 250)(80, 265)(81, 267)(82, 251)(83, 252)(84, 269)(85, 260)(86, 253)(87, 261)(88, 255)(89, 264)(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, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 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 E19.1747
Graph:: simple bipartite
	v = 93 e = 180 f = 51
	degree seq :: [ 2^90, 60^3 ]

E19.1751 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 15, 30})
Quotient :: dipole
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|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, Y2^3 * Y1 * Y2^11 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^15 ]
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, 47, 137)(40, 130, 48, 138)(41, 131, 55, 145)(42, 132, 50, 140)(43, 133, 56, 146)(44, 134, 52, 142)(45, 135, 58, 148)(46, 136, 59, 149)(49, 139, 61, 151)(51, 141, 62, 152)(53, 143, 64, 154)(54, 144, 65, 155)(57, 147, 63, 153)(60, 150, 66, 156)(67, 157, 73, 163)(68, 158, 79, 169)(69, 159, 80, 170)(70, 160, 76, 166)(71, 161, 82, 172)(72, 162, 83, 173)(74, 164, 85, 175)(75, 165, 86, 176)(77, 167, 88, 178)(78, 168, 89, 179)(81, 171, 87, 177)(84, 174, 90, 180)(181, 271, 183, 273, 188, 278, 197, 287, 208, 298, 223, 313, 237, 327, 249, 339, 261, 351, 268, 358, 256, 346, 244, 334, 232, 322, 216, 306, 230, 320, 214, 304, 228, 318, 212, 302, 227, 317, 241, 331, 253, 343, 265, 355, 264, 354, 252, 342, 240, 330, 226, 316, 211, 301, 199, 289, 190, 280, 184, 274)(182, 272, 185, 275, 192, 282, 202, 292, 215, 305, 231, 321, 243, 333, 255, 345, 267, 357, 262, 352, 250, 340, 238, 328, 224, 314, 209, 299, 222, 312, 207, 297, 220, 310, 205, 295, 219, 309, 235, 325, 247, 337, 259, 349, 270, 360, 258, 348, 246, 336, 234, 324, 218, 308, 204, 294, 194, 284, 186, 276)(187, 277, 195, 285, 206, 296, 221, 311, 236, 326, 248, 338, 260, 350, 269, 359, 257, 347, 245, 335, 233, 323, 217, 307, 203, 293, 193, 283, 201, 291, 191, 281, 200, 290, 213, 303, 229, 319, 242, 332, 254, 344, 266, 356, 263, 353, 251, 341, 239, 329, 225, 315, 210, 300, 198, 288, 189, 279, 196, 286)
	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, 227)(40, 228)(41, 235)(42, 230)(43, 236)(44, 232)(45, 238)(46, 239)(47, 219)(48, 220)(49, 241)(50, 222)(51, 242)(52, 224)(53, 244)(54, 245)(55, 221)(56, 223)(57, 243)(58, 225)(59, 226)(60, 246)(61, 229)(62, 231)(63, 237)(64, 233)(65, 234)(66, 240)(67, 253)(68, 259)(69, 260)(70, 256)(71, 262)(72, 263)(73, 247)(74, 265)(75, 266)(76, 250)(77, 268)(78, 269)(79, 248)(80, 249)(81, 267)(82, 251)(83, 252)(84, 270)(85, 254)(86, 255)(87, 261)(88, 257)(89, 258)(90, 264)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 2, 30, 2, 30 ), ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E19.1752
Graph:: bipartite
	v = 48 e = 180 f = 96
	degree seq :: [ 4^45, 60^3 ]

E19.1752 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 15, 30})
Quotient :: dipole
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y3 * Y1^-1 * Y3^-3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-3 * Y1^-1 * Y3, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-3, Y3^-1 * Y1^2 * Y3^-1 * Y1^3 * Y3^-2 * Y1^3 * Y3^-1 * Y1 * Y3^-1, Y3^-1 * Y1^2 * Y3^-1 * Y1^11, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 91, 2, 92, 6, 96, 16, 106, 34, 124, 53, 143, 67, 157, 79, 169, 86, 176, 73, 163, 63, 153, 51, 141, 31, 121, 13, 103, 4, 94)(3, 93, 9, 99, 23, 113, 35, 125, 18, 108, 39, 129, 59, 149, 68, 158, 81, 171, 85, 175, 75, 165, 65, 155, 52, 142, 28, 118, 11, 101)(5, 95, 14, 104, 32, 122, 36, 126, 56, 146, 71, 161, 80, 170, 88, 178, 74, 164, 61, 151, 49, 139, 30, 120, 42, 132, 20, 110, 7, 97)(8, 98, 21, 111, 43, 133, 54, 144, 69, 159, 83, 173, 89, 179, 78, 168, 64, 154, 48, 138, 25, 115, 12, 102, 29, 119, 38, 128, 17, 107)(10, 100, 19, 109, 37, 127, 55, 145, 46, 136, 33, 123, 44, 134, 60, 150, 72, 162, 84, 174, 87, 177, 77, 167, 66, 156, 50, 140, 26, 116)(15, 105, 22, 112, 40, 130, 57, 147, 70, 160, 82, 172, 90, 180, 76, 166, 62, 152, 47, 137, 27, 117, 41, 131, 58, 148, 45, 135, 24, 114)(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, 206)(13, 210)(14, 204)(15, 185)(16, 215)(17, 217)(18, 186)(19, 191)(20, 221)(21, 195)(22, 188)(23, 225)(24, 189)(25, 227)(26, 229)(27, 228)(28, 231)(29, 193)(30, 230)(31, 232)(32, 226)(33, 194)(34, 212)(35, 235)(36, 196)(37, 200)(38, 238)(39, 202)(40, 198)(41, 208)(42, 211)(43, 213)(44, 201)(45, 209)(46, 203)(47, 241)(48, 243)(49, 242)(50, 245)(51, 244)(52, 246)(53, 223)(54, 214)(55, 218)(56, 220)(57, 216)(58, 222)(59, 224)(60, 219)(61, 253)(62, 255)(63, 254)(64, 257)(65, 256)(66, 258)(67, 239)(68, 233)(69, 237)(70, 234)(71, 240)(72, 236)(73, 265)(74, 267)(75, 266)(76, 269)(77, 268)(78, 270)(79, 251)(80, 247)(81, 250)(82, 248)(83, 252)(84, 249)(85, 264)(86, 263)(87, 261)(88, 262)(89, 259)(90, 260)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E19.1751
Graph:: simple bipartite
	v = 96 e = 180 f = 48
	degree seq :: [ 2^90, 30^6 ]

E19.1753 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, (Y3 * Y1)^3, (Y2 * Y1)^3, Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 107, 11, 101)(6, 109, 13, 102)(8, 112, 16, 104)(10, 115, 19, 106)(12, 117, 21, 108)(14, 120, 24, 110)(15, 121, 25, 111)(17, 124, 28, 113)(18, 125, 29, 114)(20, 128, 32, 116)(22, 131, 35, 118)(23, 132, 36, 119)(26, 136, 40, 122)(27, 137, 41, 123)(30, 141, 45, 126)(31, 139, 43, 127)(33, 144, 48, 129)(34, 145, 49, 130)(37, 149, 53, 133)(38, 147, 51, 134)(39, 151, 55, 135)(42, 155, 59, 138)(44, 157, 61, 140)(46, 160, 64, 142)(47, 161, 65, 143)(50, 165, 69, 146)(52, 167, 71, 148)(54, 170, 74, 150)(56, 172, 76, 152)(57, 163, 67, 153)(58, 174, 78, 154)(60, 177, 81, 156)(62, 179, 83, 158)(63, 169, 73, 159)(66, 183, 87, 162)(68, 185, 89, 164)(70, 188, 92, 166)(72, 190, 94, 168)(75, 189, 93, 171)(77, 192, 96, 173)(79, 186, 90, 175)(80, 191, 95, 176)(82, 182, 86, 178)(84, 187, 91, 180)(85, 184, 88, 181)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 11)(8, 17)(9, 18)(12, 22)(13, 23)(15, 26)(16, 27)(19, 29)(20, 33)(21, 34)(24, 36)(25, 39)(28, 41)(30, 37)(31, 46)(32, 47)(35, 49)(38, 54)(40, 55)(42, 56)(43, 60)(44, 62)(45, 63)(48, 65)(50, 66)(51, 70)(52, 72)(53, 73)(57, 77)(58, 79)(59, 80)(61, 82)(64, 81)(67, 88)(68, 90)(69, 91)(71, 93)(74, 92)(75, 94)(76, 95)(78, 89)(83, 86)(84, 87)(85, 96)(97, 100)(98, 102)(99, 104)(101, 108)(103, 111)(105, 109)(106, 113)(107, 116)(110, 118)(112, 121)(114, 126)(115, 127)(117, 128)(119, 133)(120, 134)(122, 129)(123, 138)(124, 139)(125, 140)(130, 146)(131, 147)(132, 148)(135, 152)(136, 153)(137, 154)(141, 157)(142, 158)(143, 162)(144, 163)(145, 164)(149, 167)(150, 168)(151, 171)(155, 174)(156, 175)(159, 180)(160, 181)(161, 182)(165, 185)(166, 186)(169, 191)(170, 192)(172, 189)(173, 190)(176, 187)(177, 188)(178, 183)(179, 184)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1754
Transitivity :: VT+ AT
Graph:: simple
	v = 48 e = 96 f = 12
	degree seq :: [ 4^48 ]

E19.1754 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1^-1 * Y2)^2, (Y1^-1 * Y2)^3, (Y3 * Y2)^3, (Y1^-1 * Y3)^3, Y2 * Y1^3 * Y2 * Y1^-2 * Y3, Y1^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1 * Y2 * Y1^-1)^2, Y3 * Y1^2 * Y2 * Y3 * Y1^-3, Y2 * Y1^3 * Y3 * Y1^-3, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 114, 18, 142, 46, 141, 45, 113, 17, 101, 5, 97)(3, 105, 9, 123, 27, 144, 48, 181, 85, 171, 75, 129, 33, 107, 11, 99)(4, 108, 12, 130, 34, 146, 50, 184, 88, 170, 74, 135, 39, 110, 14, 100)(7, 117, 21, 151, 55, 178, 82, 162, 66, 138, 42, 156, 60, 119, 23, 103)(8, 120, 24, 157, 61, 180, 84, 173, 77, 139, 43, 160, 64, 122, 26, 104)(10, 126, 30, 143, 47, 179, 83, 176, 80, 140, 44, 159, 63, 121, 25, 106)(13, 133, 37, 147, 51, 115, 19, 145, 49, 182, 86, 174, 78, 134, 38, 109)(15, 136, 40, 150, 54, 116, 20, 148, 52, 187, 91, 163, 67, 124, 28, 111)(16, 137, 41, 149, 53, 118, 22, 153, 57, 177, 81, 165, 69, 132, 36, 112)(29, 154, 58, 183, 87, 172, 76, 188, 92, 169, 73, 192, 96, 164, 68, 125)(31, 152, 56, 185, 89, 161, 65, 191, 95, 175, 79, 190, 94, 167, 71, 127)(32, 168, 72, 186, 90, 158, 62, 189, 93, 155, 59, 131, 35, 166, 70, 128)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 31)(11, 21)(12, 35)(14, 29)(16, 42)(17, 43)(18, 47)(20, 53)(22, 58)(23, 49)(24, 62)(26, 56)(27, 65)(30, 69)(32, 52)(33, 73)(34, 48)(36, 71)(37, 68)(38, 70)(39, 57)(40, 77)(41, 72)(44, 75)(45, 74)(46, 81)(50, 89)(51, 83)(54, 87)(55, 92)(59, 85)(60, 94)(61, 82)(63, 93)(64, 88)(66, 90)(67, 95)(76, 84)(78, 91)(79, 86)(80, 96)(97, 100)(98, 104)(99, 106)(101, 112)(102, 116)(103, 118)(105, 125)(107, 128)(108, 132)(109, 127)(110, 120)(111, 133)(113, 140)(114, 144)(115, 146)(117, 152)(119, 155)(121, 154)(122, 148)(123, 162)(124, 158)(126, 166)(129, 170)(130, 172)(131, 173)(134, 151)(135, 175)(136, 167)(137, 176)(138, 164)(139, 156)(141, 174)(142, 178)(143, 180)(145, 183)(147, 186)(149, 185)(150, 181)(153, 189)(157, 191)(159, 182)(160, 192)(161, 179)(163, 177)(165, 188)(168, 184)(169, 187)(171, 190)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1753
Transitivity :: VT+ AT
Graph::
	v = 12 e = 96 f = 48
	degree seq :: [ 16^12 ]

E19.1755 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2)^3, (Y3 * Y1)^3, (Y2 * Y1)^3, Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 8, 104)(5, 101, 12, 108)(7, 103, 15, 111)(9, 105, 13, 109)(10, 106, 17, 113)(11, 107, 20, 116)(14, 110, 22, 118)(16, 112, 25, 121)(18, 114, 30, 126)(19, 115, 31, 127)(21, 117, 32, 128)(23, 119, 37, 133)(24, 120, 38, 134)(26, 122, 33, 129)(27, 123, 42, 138)(28, 124, 43, 139)(29, 125, 44, 140)(34, 130, 50, 146)(35, 131, 51, 147)(36, 132, 52, 148)(39, 135, 56, 152)(40, 136, 57, 153)(41, 137, 58, 154)(45, 141, 61, 157)(46, 142, 62, 158)(47, 143, 66, 162)(48, 144, 67, 163)(49, 145, 68, 164)(53, 149, 71, 167)(54, 150, 72, 168)(55, 151, 75, 171)(59, 155, 78, 174)(60, 156, 79, 175)(63, 159, 84, 180)(64, 160, 85, 181)(65, 161, 86, 182)(69, 165, 89, 185)(70, 166, 90, 186)(73, 169, 95, 191)(74, 170, 96, 192)(76, 172, 93, 189)(77, 173, 94, 190)(80, 176, 91, 187)(81, 177, 92, 188)(82, 178, 87, 183)(83, 179, 88, 184)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 208)(202, 211)(204, 213)(206, 216)(207, 217)(209, 220)(210, 221)(212, 224)(214, 227)(215, 228)(218, 232)(219, 233)(222, 237)(223, 235)(225, 240)(226, 241)(229, 245)(230, 243)(231, 247)(234, 251)(236, 253)(238, 256)(239, 257)(242, 261)(244, 263)(246, 266)(248, 268)(249, 259)(250, 270)(252, 273)(254, 275)(255, 265)(258, 279)(260, 281)(262, 284)(264, 286)(267, 285)(269, 288)(271, 282)(272, 287)(274, 278)(276, 283)(277, 280)(289, 291)(290, 293)(292, 298)(294, 302)(295, 299)(296, 305)(297, 306)(300, 310)(301, 311)(303, 314)(304, 315)(307, 317)(308, 321)(309, 322)(312, 324)(313, 327)(316, 329)(318, 325)(319, 334)(320, 335)(323, 337)(326, 342)(328, 343)(330, 344)(331, 348)(332, 350)(333, 351)(336, 353)(338, 354)(339, 358)(340, 360)(341, 361)(345, 365)(346, 367)(347, 368)(349, 370)(352, 369)(355, 376)(356, 378)(357, 379)(359, 381)(362, 380)(363, 382)(364, 383)(366, 377)(371, 374)(372, 375)(373, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1758
Graph:: simple bipartite
	v = 144 e = 192 f = 12
	degree seq :: [ 2^96, 4^48 ]

E19.1756 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^3, (Y3^-1 * Y2)^3, (Y2 * Y3 * Y1)^2, (Y2 * Y1)^3, Y3^-3 * Y1 * Y3^2 * Y2 * Y1, Y3^8, Y3^2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2, Y3^-1 * Y2 * Y3^3 * Y1 * Y3^-2, (Y3^-1 * Y1 * Y3 * Y2)^2 ]
Map:: polytopal
	R = (1, 97, 4, 100, 14, 110, 39, 135, 79, 175, 45, 141, 17, 113, 5, 101)(2, 98, 7, 103, 23, 119, 58, 154, 95, 191, 64, 160, 26, 122, 8, 104)(3, 99, 10, 106, 30, 126, 57, 153, 92, 188, 73, 169, 33, 129, 11, 107)(6, 102, 19, 115, 49, 145, 38, 134, 76, 172, 89, 185, 52, 148, 20, 116)(9, 105, 27, 123, 65, 161, 85, 181, 80, 176, 43, 139, 66, 162, 28, 124)(12, 108, 24, 120, 60, 156, 91, 187, 54, 150, 44, 140, 74, 170, 34, 130)(13, 109, 32, 128, 50, 146, 87, 183, 68, 164, 40, 136, 77, 173, 36, 132)(15, 111, 41, 137, 75, 171, 35, 131, 63, 159, 90, 186, 53, 149, 21, 117)(16, 112, 42, 138, 78, 174, 37, 133, 70, 166, 88, 184, 67, 163, 29, 125)(18, 114, 46, 142, 81, 177, 69, 165, 96, 192, 62, 158, 82, 178, 47, 143)(22, 118, 51, 147, 31, 127, 71, 167, 84, 180, 59, 155, 93, 189, 55, 151)(25, 121, 61, 157, 94, 190, 56, 152, 86, 182, 72, 168, 83, 179, 48, 144)(193, 194)(195, 201)(196, 204)(197, 207)(198, 210)(199, 213)(200, 216)(202, 217)(203, 223)(205, 227)(206, 229)(208, 211)(209, 235)(212, 242)(214, 246)(215, 248)(218, 254)(219, 243)(220, 253)(221, 251)(222, 260)(224, 238)(225, 256)(226, 262)(228, 247)(230, 250)(231, 249)(232, 240)(233, 272)(234, 239)(236, 269)(237, 244)(241, 276)(245, 278)(252, 288)(255, 285)(257, 283)(258, 281)(259, 282)(261, 277)(263, 287)(264, 280)(265, 274)(266, 275)(267, 273)(268, 286)(270, 284)(271, 279)(289, 291)(290, 294)(292, 301)(293, 304)(295, 310)(296, 313)(297, 306)(298, 317)(299, 320)(300, 316)(302, 326)(303, 328)(305, 332)(307, 336)(308, 339)(309, 335)(311, 345)(312, 347)(314, 351)(315, 341)(318, 357)(319, 358)(321, 360)(322, 334)(323, 349)(324, 364)(325, 363)(327, 353)(329, 359)(330, 342)(331, 361)(333, 352)(337, 373)(338, 374)(340, 376)(343, 380)(344, 379)(346, 369)(348, 375)(350, 377)(354, 381)(355, 384)(356, 372)(362, 383)(365, 370)(366, 382)(367, 378)(368, 371)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1757
Graph:: simple bipartite
	v = 108 e = 192 f = 48
	degree seq :: [ 2^96, 16^12 ]

E19.1757 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2)^3, (Y3 * Y1)^3, (Y2 * Y1)^3, Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 8, 104, 200, 296)(5, 101, 197, 293, 12, 108, 204, 300)(7, 103, 199, 295, 15, 111, 207, 303)(9, 105, 201, 297, 13, 109, 205, 301)(10, 106, 202, 298, 17, 113, 209, 305)(11, 107, 203, 299, 20, 116, 212, 308)(14, 110, 206, 302, 22, 118, 214, 310)(16, 112, 208, 304, 25, 121, 217, 313)(18, 114, 210, 306, 30, 126, 222, 318)(19, 115, 211, 307, 31, 127, 223, 319)(21, 117, 213, 309, 32, 128, 224, 320)(23, 119, 215, 311, 37, 133, 229, 325)(24, 120, 216, 312, 38, 134, 230, 326)(26, 122, 218, 314, 33, 129, 225, 321)(27, 123, 219, 315, 42, 138, 234, 330)(28, 124, 220, 316, 43, 139, 235, 331)(29, 125, 221, 317, 44, 140, 236, 332)(34, 130, 226, 322, 50, 146, 242, 338)(35, 131, 227, 323, 51, 147, 243, 339)(36, 132, 228, 324, 52, 148, 244, 340)(39, 135, 231, 327, 56, 152, 248, 344)(40, 136, 232, 328, 57, 153, 249, 345)(41, 137, 233, 329, 58, 154, 250, 346)(45, 141, 237, 333, 61, 157, 253, 349)(46, 142, 238, 334, 62, 158, 254, 350)(47, 143, 239, 335, 66, 162, 258, 354)(48, 144, 240, 336, 67, 163, 259, 355)(49, 145, 241, 337, 68, 164, 260, 356)(53, 149, 245, 341, 71, 167, 263, 359)(54, 150, 246, 342, 72, 168, 264, 360)(55, 151, 247, 343, 75, 171, 267, 363)(59, 155, 251, 347, 78, 174, 270, 366)(60, 156, 252, 348, 79, 175, 271, 367)(63, 159, 255, 351, 84, 180, 276, 372)(64, 160, 256, 352, 85, 181, 277, 373)(65, 161, 257, 353, 86, 182, 278, 374)(69, 165, 261, 357, 89, 185, 281, 377)(70, 166, 262, 358, 90, 186, 282, 378)(73, 169, 265, 361, 95, 191, 287, 383)(74, 170, 266, 362, 96, 192, 288, 384)(76, 172, 268, 364, 93, 189, 285, 381)(77, 173, 269, 365, 94, 190, 286, 382)(80, 176, 272, 368, 91, 187, 283, 379)(81, 177, 273, 369, 92, 188, 284, 380)(82, 178, 274, 370, 87, 183, 279, 375)(83, 179, 275, 371, 88, 184, 280, 376)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 112)(9, 100)(10, 115)(11, 101)(12, 117)(13, 102)(14, 120)(15, 121)(16, 104)(17, 124)(18, 125)(19, 106)(20, 128)(21, 108)(22, 131)(23, 132)(24, 110)(25, 111)(26, 136)(27, 137)(28, 113)(29, 114)(30, 141)(31, 139)(32, 116)(33, 144)(34, 145)(35, 118)(36, 119)(37, 149)(38, 147)(39, 151)(40, 122)(41, 123)(42, 155)(43, 127)(44, 157)(45, 126)(46, 160)(47, 161)(48, 129)(49, 130)(50, 165)(51, 134)(52, 167)(53, 133)(54, 170)(55, 135)(56, 172)(57, 163)(58, 174)(59, 138)(60, 177)(61, 140)(62, 179)(63, 169)(64, 142)(65, 143)(66, 183)(67, 153)(68, 185)(69, 146)(70, 188)(71, 148)(72, 190)(73, 159)(74, 150)(75, 189)(76, 152)(77, 192)(78, 154)(79, 186)(80, 191)(81, 156)(82, 182)(83, 158)(84, 187)(85, 184)(86, 178)(87, 162)(88, 181)(89, 164)(90, 175)(91, 180)(92, 166)(93, 171)(94, 168)(95, 176)(96, 173)(193, 291)(194, 293)(195, 289)(196, 298)(197, 290)(198, 302)(199, 299)(200, 305)(201, 306)(202, 292)(203, 295)(204, 310)(205, 311)(206, 294)(207, 314)(208, 315)(209, 296)(210, 297)(211, 317)(212, 321)(213, 322)(214, 300)(215, 301)(216, 324)(217, 327)(218, 303)(219, 304)(220, 329)(221, 307)(222, 325)(223, 334)(224, 335)(225, 308)(226, 309)(227, 337)(228, 312)(229, 318)(230, 342)(231, 313)(232, 343)(233, 316)(234, 344)(235, 348)(236, 350)(237, 351)(238, 319)(239, 320)(240, 353)(241, 323)(242, 354)(243, 358)(244, 360)(245, 361)(246, 326)(247, 328)(248, 330)(249, 365)(250, 367)(251, 368)(252, 331)(253, 370)(254, 332)(255, 333)(256, 369)(257, 336)(258, 338)(259, 376)(260, 378)(261, 379)(262, 339)(263, 381)(264, 340)(265, 341)(266, 380)(267, 382)(268, 383)(269, 345)(270, 377)(271, 346)(272, 347)(273, 352)(274, 349)(275, 374)(276, 375)(277, 384)(278, 371)(279, 372)(280, 355)(281, 366)(282, 356)(283, 357)(284, 362)(285, 359)(286, 363)(287, 364)(288, 373)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1756
Transitivity :: VT+
Graph::
	v = 48 e = 192 f = 108
	degree seq :: [ 8^48 ]

E19.1758 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^3, (Y3^-1 * Y2)^3, (Y2 * Y3 * Y1)^2, (Y2 * Y1)^3, Y3^-3 * Y1 * Y3^2 * Y2 * Y1, Y3^8, Y3^2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2, Y3^-1 * Y2 * Y3^3 * Y1 * Y3^-2, (Y3^-1 * Y1 * Y3 * Y2)^2 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 14, 110, 206, 302, 39, 135, 231, 327, 79, 175, 271, 367, 45, 141, 237, 333, 17, 113, 209, 305, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 23, 119, 215, 311, 58, 154, 250, 346, 95, 191, 287, 383, 64, 160, 256, 352, 26, 122, 218, 314, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 30, 126, 222, 318, 57, 153, 249, 345, 92, 188, 284, 380, 73, 169, 265, 361, 33, 129, 225, 321, 11, 107, 203, 299)(6, 102, 198, 294, 19, 115, 211, 307, 49, 145, 241, 337, 38, 134, 230, 326, 76, 172, 268, 364, 89, 185, 281, 377, 52, 148, 244, 340, 20, 116, 212, 308)(9, 105, 201, 297, 27, 123, 219, 315, 65, 161, 257, 353, 85, 181, 277, 373, 80, 176, 272, 368, 43, 139, 235, 331, 66, 162, 258, 354, 28, 124, 220, 316)(12, 108, 204, 300, 24, 120, 216, 312, 60, 156, 252, 348, 91, 187, 283, 379, 54, 150, 246, 342, 44, 140, 236, 332, 74, 170, 266, 362, 34, 130, 226, 322)(13, 109, 205, 301, 32, 128, 224, 320, 50, 146, 242, 338, 87, 183, 279, 375, 68, 164, 260, 356, 40, 136, 232, 328, 77, 173, 269, 365, 36, 132, 228, 324)(15, 111, 207, 303, 41, 137, 233, 329, 75, 171, 267, 363, 35, 131, 227, 323, 63, 159, 255, 351, 90, 186, 282, 378, 53, 149, 245, 341, 21, 117, 213, 309)(16, 112, 208, 304, 42, 138, 234, 330, 78, 174, 270, 366, 37, 133, 229, 325, 70, 166, 262, 358, 88, 184, 280, 376, 67, 163, 259, 355, 29, 125, 221, 317)(18, 114, 210, 306, 46, 142, 238, 334, 81, 177, 273, 369, 69, 165, 261, 357, 96, 192, 288, 384, 62, 158, 254, 350, 82, 178, 274, 370, 47, 143, 239, 335)(22, 118, 214, 310, 51, 147, 243, 339, 31, 127, 223, 319, 71, 167, 263, 359, 84, 180, 276, 372, 59, 155, 251, 347, 93, 189, 285, 381, 55, 151, 247, 343)(25, 121, 217, 313, 61, 157, 253, 349, 94, 190, 286, 382, 56, 152, 248, 344, 86, 182, 278, 374, 72, 168, 264, 360, 83, 179, 275, 371, 48, 144, 240, 336)
	L = (1, 98)(2, 97)(3, 105)(4, 108)(5, 111)(6, 114)(7, 117)(8, 120)(9, 99)(10, 121)(11, 127)(12, 100)(13, 131)(14, 133)(15, 101)(16, 115)(17, 139)(18, 102)(19, 112)(20, 146)(21, 103)(22, 150)(23, 152)(24, 104)(25, 106)(26, 158)(27, 147)(28, 157)(29, 155)(30, 164)(31, 107)(32, 142)(33, 160)(34, 166)(35, 109)(36, 151)(37, 110)(38, 154)(39, 153)(40, 144)(41, 176)(42, 143)(43, 113)(44, 173)(45, 148)(46, 128)(47, 138)(48, 136)(49, 180)(50, 116)(51, 123)(52, 141)(53, 182)(54, 118)(55, 132)(56, 119)(57, 135)(58, 134)(59, 125)(60, 192)(61, 124)(62, 122)(63, 189)(64, 129)(65, 187)(66, 185)(67, 186)(68, 126)(69, 181)(70, 130)(71, 191)(72, 184)(73, 178)(74, 179)(75, 177)(76, 190)(77, 140)(78, 188)(79, 183)(80, 137)(81, 171)(82, 169)(83, 170)(84, 145)(85, 165)(86, 149)(87, 175)(88, 168)(89, 162)(90, 163)(91, 161)(92, 174)(93, 159)(94, 172)(95, 167)(96, 156)(193, 291)(194, 294)(195, 289)(196, 301)(197, 304)(198, 290)(199, 310)(200, 313)(201, 306)(202, 317)(203, 320)(204, 316)(205, 292)(206, 326)(207, 328)(208, 293)(209, 332)(210, 297)(211, 336)(212, 339)(213, 335)(214, 295)(215, 345)(216, 347)(217, 296)(218, 351)(219, 341)(220, 300)(221, 298)(222, 357)(223, 358)(224, 299)(225, 360)(226, 334)(227, 349)(228, 364)(229, 363)(230, 302)(231, 353)(232, 303)(233, 359)(234, 342)(235, 361)(236, 305)(237, 352)(238, 322)(239, 309)(240, 307)(241, 373)(242, 374)(243, 308)(244, 376)(245, 315)(246, 330)(247, 380)(248, 379)(249, 311)(250, 369)(251, 312)(252, 375)(253, 323)(254, 377)(255, 314)(256, 333)(257, 327)(258, 381)(259, 384)(260, 372)(261, 318)(262, 319)(263, 329)(264, 321)(265, 331)(266, 383)(267, 325)(268, 324)(269, 370)(270, 382)(271, 378)(272, 371)(273, 346)(274, 365)(275, 368)(276, 356)(277, 337)(278, 338)(279, 348)(280, 340)(281, 350)(282, 367)(283, 344)(284, 343)(285, 354)(286, 366)(287, 362)(288, 355)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.1755
Transitivity :: VT+
Graph::
	v = 12 e = 192 f = 144
	degree seq :: [ 32^12 ]

E19.1759 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2)^3, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 13, 109)(6, 102, 14, 110)(7, 103, 17, 113)(8, 104, 18, 114)(10, 106, 21, 117)(11, 107, 22, 118)(15, 111, 31, 127)(16, 112, 32, 128)(19, 115, 39, 135)(20, 116, 40, 136)(23, 119, 44, 140)(24, 120, 49, 145)(25, 121, 50, 146)(26, 122, 41, 137)(27, 123, 53, 149)(28, 124, 54, 150)(29, 125, 47, 143)(30, 126, 55, 151)(33, 129, 57, 153)(34, 130, 61, 157)(35, 131, 62, 158)(36, 132, 43, 139)(37, 133, 65, 161)(38, 134, 66, 162)(42, 138, 69, 165)(45, 141, 72, 168)(46, 142, 73, 169)(48, 144, 74, 170)(51, 147, 70, 166)(52, 148, 80, 176)(56, 152, 88, 184)(58, 154, 77, 173)(59, 155, 84, 180)(60, 156, 82, 178)(63, 159, 89, 185)(64, 160, 79, 175)(67, 163, 92, 188)(68, 164, 85, 181)(71, 167, 90, 186)(75, 171, 96, 192)(76, 172, 95, 191)(78, 174, 91, 187)(81, 177, 86, 182)(83, 179, 93, 189)(87, 183, 94, 190)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 208, 304)(200, 296, 207, 303)(201, 297, 206, 302)(204, 300, 215, 311)(205, 301, 218, 314)(209, 305, 225, 321)(210, 306, 228, 324)(211, 307, 222, 318)(212, 308, 221, 317)(213, 309, 233, 329)(214, 310, 236, 332)(216, 312, 240, 336)(217, 313, 239, 335)(219, 315, 244, 340)(220, 316, 243, 339)(223, 319, 235, 331)(224, 320, 249, 345)(226, 322, 252, 348)(227, 323, 231, 327)(229, 325, 256, 352)(230, 326, 255, 351)(232, 328, 242, 338)(234, 330, 248, 344)(237, 333, 263, 359)(238, 334, 262, 358)(241, 337, 267, 363)(245, 341, 273, 369)(246, 342, 265, 361)(247, 343, 254, 350)(250, 346, 282, 378)(251, 347, 281, 377)(253, 349, 268, 364)(257, 353, 284, 380)(258, 354, 276, 372)(259, 355, 271, 367)(260, 356, 270, 366)(261, 357, 275, 371)(264, 360, 269, 365)(266, 362, 288, 384)(272, 368, 278, 374)(274, 370, 287, 383)(277, 373, 286, 382)(279, 375, 283, 379)(280, 376, 285, 381)
	L = (1, 196)(2, 199)(3, 202)(4, 197)(5, 193)(6, 207)(7, 200)(8, 194)(9, 211)(10, 203)(11, 195)(12, 216)(13, 219)(14, 221)(15, 208)(16, 198)(17, 226)(18, 229)(19, 212)(20, 201)(21, 234)(22, 237)(23, 239)(24, 217)(25, 204)(26, 243)(27, 220)(28, 205)(29, 222)(30, 206)(31, 248)(32, 250)(33, 231)(34, 227)(35, 209)(36, 255)(37, 230)(38, 210)(39, 252)(40, 259)(41, 223)(42, 235)(43, 213)(44, 262)(45, 238)(46, 214)(47, 240)(48, 215)(49, 268)(50, 270)(51, 244)(52, 218)(53, 274)(54, 276)(55, 278)(56, 233)(57, 281)(58, 251)(59, 224)(60, 225)(61, 267)(62, 283)(63, 256)(64, 228)(65, 266)(66, 265)(67, 260)(68, 232)(69, 287)(70, 263)(71, 236)(72, 253)(73, 286)(74, 285)(75, 264)(76, 269)(77, 241)(78, 271)(79, 242)(80, 254)(81, 261)(82, 275)(83, 245)(84, 277)(85, 246)(86, 279)(87, 247)(88, 288)(89, 282)(90, 249)(91, 272)(92, 280)(93, 257)(94, 258)(95, 273)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1760
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1760 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3)^2, (Y3 * Y2)^2, (Y1 * Y2)^3, (R * Y2 * Y3^-1)^2, Y2 * Y1^3 * Y3 * Y1^-2, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y2 * Y1^-2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-2 * Y2, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 21, 117, 54, 150, 51, 147, 19, 115, 5, 101)(3, 99, 11, 107, 31, 127, 24, 120, 61, 157, 83, 179, 38, 134, 13, 109)(4, 100, 15, 111, 40, 136, 58, 154, 93, 189, 70, 166, 44, 140, 16, 112)(6, 102, 20, 116, 52, 148, 91, 187, 87, 183, 49, 145, 29, 125, 9, 105)(8, 104, 25, 121, 62, 158, 56, 152, 34, 130, 79, 175, 68, 164, 27, 123)(10, 106, 30, 126, 72, 168, 76, 172, 32, 128, 17, 113, 45, 141, 23, 119)(12, 108, 35, 131, 80, 176, 55, 151, 89, 185, 50, 146, 81, 177, 36, 132)(14, 110, 39, 135, 60, 156, 84, 180, 96, 192, 71, 167, 78, 174, 33, 129)(18, 114, 47, 143, 66, 162, 26, 122, 65, 161, 42, 138, 85, 181, 48, 144)(22, 118, 57, 153, 90, 186, 92, 188, 64, 160, 41, 137, 77, 173, 59, 155)(28, 124, 69, 165, 74, 170, 43, 139, 86, 182, 88, 184, 46, 142, 63, 159)(37, 133, 73, 169, 94, 190, 75, 171, 53, 149, 67, 163, 95, 191, 82, 178)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 214, 310)(201, 297, 220, 316)(202, 298, 218, 314)(203, 299, 224, 320)(205, 301, 217, 313)(207, 303, 233, 329)(208, 304, 234, 330)(210, 306, 238, 334)(211, 307, 241, 337)(212, 308, 245, 341)(213, 309, 247, 343)(215, 311, 252, 348)(216, 312, 250, 346)(219, 315, 249, 345)(221, 317, 262, 358)(222, 318, 265, 361)(223, 319, 266, 362)(225, 321, 269, 365)(226, 322, 267, 363)(227, 323, 255, 351)(228, 324, 259, 355)(229, 325, 256, 352)(230, 326, 263, 359)(231, 327, 257, 353)(232, 328, 274, 370)(235, 331, 268, 364)(236, 332, 243, 339)(237, 333, 279, 375)(239, 335, 271, 367)(240, 336, 272, 368)(242, 338, 270, 366)(244, 340, 248, 344)(246, 342, 277, 373)(251, 347, 281, 377)(253, 349, 287, 383)(254, 350, 288, 384)(258, 354, 286, 382)(260, 356, 280, 376)(261, 357, 285, 381)(264, 360, 284, 380)(273, 369, 275, 371)(276, 372, 283, 379)(278, 374, 282, 378)
	L = (1, 196)(2, 201)(3, 204)(4, 198)(5, 210)(6, 193)(7, 215)(8, 218)(9, 202)(10, 194)(11, 225)(12, 206)(13, 229)(14, 195)(15, 197)(16, 235)(17, 233)(18, 207)(19, 242)(20, 208)(21, 223)(22, 250)(23, 216)(24, 199)(25, 255)(26, 220)(27, 259)(28, 200)(29, 263)(30, 221)(31, 248)(32, 267)(33, 226)(34, 203)(35, 205)(36, 249)(37, 227)(38, 262)(39, 228)(40, 240)(41, 238)(42, 245)(43, 212)(44, 275)(45, 280)(46, 209)(47, 211)(48, 276)(49, 271)(50, 239)(51, 282)(52, 266)(53, 268)(54, 254)(55, 244)(56, 213)(57, 231)(58, 252)(59, 286)(60, 214)(61, 237)(62, 284)(63, 256)(64, 217)(65, 219)(66, 281)(67, 257)(68, 279)(69, 258)(70, 265)(71, 222)(72, 288)(73, 230)(74, 247)(75, 269)(76, 234)(77, 224)(78, 241)(79, 270)(80, 274)(81, 243)(82, 283)(83, 278)(84, 232)(85, 264)(86, 236)(87, 287)(88, 253)(89, 261)(90, 273)(91, 272)(92, 246)(93, 251)(94, 285)(95, 260)(96, 277)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1759
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1761 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1, (Y2 * Y3)^8 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 107, 11, 101)(6, 109, 13, 102)(8, 108, 12, 104)(10, 110, 14, 106)(15, 121, 25, 111)(16, 122, 26, 112)(17, 123, 27, 113)(18, 125, 29, 114)(19, 126, 30, 115)(20, 128, 32, 116)(21, 129, 33, 117)(22, 130, 34, 118)(23, 132, 36, 119)(24, 133, 37, 120)(28, 131, 35, 124)(31, 134, 38, 127)(39, 143, 47, 135)(40, 144, 48, 136)(41, 145, 49, 137)(42, 151, 55, 138)(43, 152, 56, 139)(44, 148, 52, 140)(45, 154, 58, 141)(46, 155, 59, 142)(50, 157, 61, 146)(51, 158, 62, 147)(53, 160, 64, 149)(54, 161, 65, 150)(57, 159, 63, 153)(60, 162, 66, 156)(67, 169, 73, 163)(68, 175, 79, 164)(69, 176, 80, 165)(70, 172, 76, 166)(71, 178, 82, 167)(72, 179, 83, 168)(74, 180, 84, 170)(75, 181, 85, 171)(77, 183, 87, 173)(78, 184, 88, 174)(81, 182, 86, 177)(89, 188, 92, 185)(90, 191, 95, 186)(91, 190, 94, 187)(93, 192, 96, 189)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 31)(21, 34)(24, 38)(25, 39)(26, 41)(28, 43)(29, 40)(30, 45)(32, 47)(33, 49)(35, 51)(36, 48)(37, 53)(42, 56)(44, 58)(46, 60)(50, 62)(52, 64)(54, 66)(55, 67)(57, 69)(59, 71)(61, 73)(63, 75)(65, 77)(68, 80)(70, 82)(72, 81)(74, 85)(76, 87)(78, 86)(79, 89)(83, 90)(84, 92)(88, 93)(91, 95)(94, 96)(97, 100)(98, 102)(99, 104)(101, 108)(103, 112)(105, 111)(106, 115)(107, 117)(109, 116)(110, 120)(113, 124)(114, 126)(118, 131)(119, 133)(121, 136)(122, 135)(123, 138)(125, 140)(127, 142)(128, 144)(129, 143)(130, 146)(132, 148)(134, 150)(137, 151)(139, 153)(141, 155)(145, 157)(147, 159)(149, 161)(152, 164)(154, 166)(156, 168)(158, 170)(160, 172)(162, 174)(163, 175)(165, 177)(167, 179)(169, 180)(171, 182)(173, 184)(176, 186)(178, 187)(181, 189)(183, 190)(185, 191)(188, 192)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1763
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 12
	degree seq :: [ 4^48 ]

E19.1762 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = (C8 x S3) : C2 (small group id <96, 126>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y3)^8 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 107, 11, 101)(6, 109, 13, 102)(8, 108, 12, 104)(10, 110, 14, 106)(15, 121, 25, 111)(16, 122, 26, 112)(17, 123, 27, 113)(18, 125, 29, 114)(19, 126, 30, 115)(20, 128, 32, 116)(21, 129, 33, 117)(22, 130, 34, 118)(23, 132, 36, 119)(24, 133, 37, 120)(28, 131, 35, 124)(31, 134, 38, 127)(39, 151, 55, 135)(40, 152, 56, 136)(41, 153, 57, 137)(42, 154, 58, 138)(43, 155, 59, 139)(44, 157, 61, 140)(45, 158, 62, 141)(46, 159, 63, 142)(47, 161, 65, 143)(48, 162, 66, 144)(49, 163, 67, 145)(50, 164, 68, 146)(51, 165, 69, 147)(52, 167, 71, 148)(53, 168, 72, 149)(54, 169, 73, 150)(60, 166, 70, 156)(64, 170, 74, 160)(75, 185, 89, 171)(76, 183, 87, 172)(77, 181, 85, 173)(78, 180, 84, 174)(79, 186, 90, 175)(80, 179, 83, 176)(81, 188, 92, 177)(82, 189, 93, 178)(86, 190, 94, 182)(88, 192, 96, 184)(91, 191, 95, 187)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 31)(21, 34)(24, 38)(25, 39)(26, 41)(28, 43)(29, 40)(30, 45)(32, 47)(33, 49)(35, 51)(36, 48)(37, 53)(42, 59)(44, 62)(46, 64)(50, 69)(52, 72)(54, 74)(55, 75)(56, 77)(57, 76)(58, 71)(60, 79)(61, 68)(63, 80)(65, 82)(66, 84)(67, 83)(70, 86)(73, 87)(78, 90)(81, 91)(85, 94)(88, 95)(89, 96)(92, 93)(97, 100)(98, 102)(99, 104)(101, 108)(103, 112)(105, 111)(106, 115)(107, 117)(109, 116)(110, 120)(113, 124)(114, 126)(118, 131)(119, 133)(121, 136)(122, 135)(123, 138)(125, 140)(127, 142)(128, 144)(129, 143)(130, 146)(132, 148)(134, 150)(137, 154)(139, 156)(141, 159)(145, 164)(147, 166)(149, 169)(151, 172)(152, 171)(153, 168)(155, 174)(157, 173)(158, 163)(160, 177)(161, 179)(162, 178)(165, 181)(167, 180)(170, 184)(175, 187)(176, 188)(182, 191)(183, 192)(185, 190)(186, 189)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1764
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 12
	degree seq :: [ 4^48 ]

E19.1763 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1 * Y3 * Y2)^2, Y1^-2 * Y2 * Y3 * Y2 * Y3, (Y2 * Y1^-2)^2, Y1^8, Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^3, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 114, 18, 134, 38, 133, 37, 113, 17, 101, 5, 97)(3, 105, 9, 123, 27, 145, 49, 159, 63, 138, 42, 115, 19, 107, 11, 99)(4, 108, 12, 128, 32, 152, 56, 160, 64, 139, 43, 116, 20, 110, 14, 100)(7, 117, 21, 111, 15, 131, 35, 155, 59, 162, 66, 135, 39, 119, 23, 103)(8, 120, 24, 112, 16, 132, 36, 157, 61, 163, 67, 136, 40, 122, 26, 104)(10, 118, 22, 137, 41, 161, 65, 153, 57, 130, 34, 109, 13, 121, 25, 106)(28, 146, 50, 126, 30, 150, 54, 164, 68, 184, 88, 173, 77, 147, 51, 124)(29, 148, 52, 127, 31, 151, 55, 165, 69, 154, 58, 129, 33, 149, 53, 125)(44, 166, 70, 142, 46, 170, 74, 183, 87, 182, 86, 156, 60, 167, 71, 140)(45, 168, 72, 143, 47, 171, 75, 158, 62, 172, 76, 144, 48, 169, 73, 141)(78, 187, 91, 176, 80, 192, 96, 181, 85, 190, 94, 179, 83, 185, 89, 174)(79, 188, 92, 177, 81, 191, 95, 180, 84, 189, 93, 178, 82, 186, 90, 175)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 33)(14, 29)(16, 34)(17, 27)(18, 39)(21, 44)(22, 40)(23, 46)(24, 48)(26, 45)(31, 43)(32, 57)(35, 60)(36, 62)(37, 59)(38, 63)(41, 64)(42, 68)(47, 67)(49, 77)(50, 78)(51, 80)(52, 82)(53, 79)(54, 83)(55, 84)(56, 69)(58, 81)(61, 65)(66, 87)(70, 89)(71, 91)(72, 93)(73, 90)(74, 94)(75, 95)(76, 92)(85, 88)(86, 96)(97, 100)(98, 104)(99, 106)(101, 112)(102, 116)(103, 118)(105, 125)(107, 127)(108, 124)(109, 123)(110, 126)(111, 121)(113, 128)(114, 136)(115, 137)(117, 141)(119, 143)(120, 140)(122, 142)(129, 145)(130, 155)(131, 144)(132, 156)(133, 157)(134, 160)(135, 161)(138, 165)(139, 164)(146, 175)(147, 177)(148, 174)(149, 176)(150, 178)(151, 179)(152, 173)(153, 159)(154, 181)(158, 162)(163, 183)(166, 186)(167, 188)(168, 185)(169, 187)(170, 189)(171, 190)(172, 192)(180, 184)(182, 191)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1761
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 96 f = 48
	degree seq :: [ 16^12 ]

E19.1764 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = (C8 x S3) : C2 (small group id <96, 126>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1, (Y2 * Y1^-2)^2, (Y2 * Y3 * Y1^-1)^2, Y1^8, (Y1 * Y2 * Y1^-1 * Y3 * Y2)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 114, 18, 134, 38, 133, 37, 113, 17, 101, 5, 97)(3, 105, 9, 123, 27, 145, 49, 159, 63, 138, 42, 115, 19, 107, 11, 99)(4, 108, 12, 128, 32, 152, 56, 160, 64, 139, 43, 116, 20, 110, 14, 100)(7, 117, 21, 111, 15, 131, 35, 155, 59, 162, 66, 135, 39, 119, 23, 103)(8, 120, 24, 112, 16, 132, 36, 157, 61, 163, 67, 136, 40, 122, 26, 104)(10, 118, 22, 137, 41, 161, 65, 153, 57, 130, 34, 109, 13, 121, 25, 106)(28, 146, 50, 126, 30, 150, 54, 164, 68, 184, 88, 173, 77, 147, 51, 124)(29, 148, 52, 127, 31, 151, 55, 165, 69, 154, 58, 129, 33, 149, 53, 125)(44, 166, 70, 142, 46, 170, 74, 183, 87, 182, 86, 156, 60, 167, 71, 140)(45, 168, 72, 143, 47, 171, 75, 158, 62, 172, 76, 144, 48, 169, 73, 141)(78, 190, 94, 176, 80, 185, 89, 181, 85, 187, 91, 179, 83, 192, 96, 174)(79, 189, 93, 177, 81, 186, 90, 180, 84, 188, 92, 178, 82, 191, 95, 175)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 33)(14, 29)(16, 34)(17, 27)(18, 39)(21, 44)(22, 40)(23, 46)(24, 48)(26, 45)(31, 43)(32, 57)(35, 60)(36, 62)(37, 59)(38, 63)(41, 64)(42, 68)(47, 67)(49, 77)(50, 78)(51, 80)(52, 82)(53, 79)(54, 83)(55, 84)(56, 69)(58, 81)(61, 65)(66, 87)(70, 89)(71, 91)(72, 93)(73, 90)(74, 94)(75, 95)(76, 92)(85, 88)(86, 96)(97, 100)(98, 104)(99, 106)(101, 112)(102, 116)(103, 118)(105, 125)(107, 127)(108, 124)(109, 123)(110, 126)(111, 121)(113, 128)(114, 136)(115, 137)(117, 141)(119, 143)(120, 140)(122, 142)(129, 145)(130, 155)(131, 144)(132, 156)(133, 157)(134, 160)(135, 161)(138, 165)(139, 164)(146, 175)(147, 177)(148, 174)(149, 176)(150, 178)(151, 179)(152, 173)(153, 159)(154, 181)(158, 162)(163, 183)(166, 186)(167, 188)(168, 185)(169, 187)(170, 189)(171, 190)(172, 192)(180, 184)(182, 191)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1762
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 96 f = 48
	degree seq :: [ 16^12 ]

E19.1765 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3 * Y1 * Y2 * Y3 * Y2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, (Y1 * Y2)^8 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 8, 104)(5, 101, 12, 108)(7, 103, 16, 112)(9, 105, 18, 114)(10, 106, 19, 115)(11, 107, 21, 117)(13, 109, 23, 119)(14, 110, 24, 120)(15, 111, 26, 122)(17, 113, 28, 124)(20, 116, 33, 129)(22, 118, 35, 131)(25, 121, 40, 136)(27, 123, 42, 138)(29, 125, 44, 140)(30, 126, 45, 141)(31, 127, 46, 142)(32, 128, 48, 144)(34, 130, 50, 146)(36, 132, 52, 148)(37, 133, 53, 149)(38, 134, 54, 150)(39, 135, 56, 152)(41, 137, 58, 154)(43, 139, 60, 156)(47, 143, 62, 158)(49, 145, 64, 160)(51, 147, 66, 162)(55, 151, 68, 164)(57, 153, 70, 166)(59, 155, 72, 168)(61, 157, 74, 170)(63, 159, 76, 172)(65, 161, 78, 174)(67, 163, 79, 175)(69, 165, 81, 177)(71, 167, 83, 179)(73, 169, 84, 180)(75, 171, 86, 182)(77, 173, 88, 184)(80, 176, 89, 185)(82, 178, 91, 187)(85, 181, 92, 188)(87, 183, 94, 190)(90, 186, 95, 191)(93, 189, 96, 192)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 208)(204, 214)(206, 213)(207, 217)(210, 221)(211, 223)(212, 224)(215, 228)(216, 230)(218, 233)(219, 232)(220, 229)(222, 227)(225, 241)(226, 240)(231, 247)(234, 251)(235, 250)(236, 244)(237, 246)(238, 245)(239, 253)(242, 257)(243, 256)(248, 261)(249, 260)(252, 264)(254, 267)(255, 266)(258, 270)(259, 265)(262, 274)(263, 273)(268, 279)(269, 278)(271, 277)(272, 276)(275, 283)(280, 286)(281, 285)(282, 284)(287, 288)(289, 291)(290, 293)(292, 298)(294, 302)(295, 303)(296, 301)(297, 300)(299, 308)(304, 315)(305, 314)(306, 318)(307, 317)(309, 322)(310, 321)(311, 325)(312, 324)(313, 327)(316, 331)(319, 330)(320, 335)(323, 339)(326, 338)(328, 345)(329, 344)(332, 341)(333, 340)(334, 348)(336, 351)(337, 350)(342, 354)(343, 355)(346, 359)(347, 358)(349, 361)(352, 365)(353, 364)(356, 368)(357, 367)(360, 371)(362, 373)(363, 372)(366, 376)(369, 378)(370, 377)(374, 381)(375, 380)(379, 383)(382, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1771
Graph:: simple bipartite
	v = 144 e = 192 f = 12
	degree seq :: [ 2^96, 4^48 ]

E19.1766 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = (C8 x S3) : C2 (small group id <96, 126>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3, (Y1 * Y2)^8 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 8, 104)(5, 101, 12, 108)(7, 103, 16, 112)(9, 105, 18, 114)(10, 106, 19, 115)(11, 107, 21, 117)(13, 109, 23, 119)(14, 110, 24, 120)(15, 111, 26, 122)(17, 113, 28, 124)(20, 116, 33, 129)(22, 118, 35, 131)(25, 121, 40, 136)(27, 123, 42, 138)(29, 125, 44, 140)(30, 126, 45, 141)(31, 127, 46, 142)(32, 128, 48, 144)(34, 130, 50, 146)(36, 132, 52, 148)(37, 133, 53, 149)(38, 134, 54, 150)(39, 135, 56, 152)(41, 137, 58, 154)(43, 139, 60, 156)(47, 143, 66, 162)(49, 145, 68, 164)(51, 147, 70, 166)(55, 151, 76, 172)(57, 153, 78, 174)(59, 155, 74, 170)(61, 157, 80, 176)(62, 158, 81, 177)(63, 159, 79, 175)(64, 160, 69, 165)(65, 161, 83, 179)(67, 163, 85, 181)(71, 167, 87, 183)(72, 168, 88, 184)(73, 169, 86, 182)(75, 171, 89, 185)(77, 173, 91, 187)(82, 178, 93, 189)(84, 180, 95, 191)(90, 186, 96, 192)(92, 188, 94, 190)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 208)(204, 214)(206, 213)(207, 217)(210, 221)(211, 223)(212, 224)(215, 228)(216, 230)(218, 233)(219, 232)(220, 229)(222, 227)(225, 241)(226, 240)(231, 247)(234, 251)(235, 250)(236, 253)(237, 255)(238, 254)(239, 257)(242, 261)(243, 260)(244, 263)(245, 265)(246, 264)(248, 269)(249, 268)(252, 262)(256, 266)(258, 276)(259, 275)(267, 274)(270, 280)(271, 283)(272, 284)(273, 277)(278, 287)(279, 288)(281, 286)(282, 285)(289, 291)(290, 293)(292, 298)(294, 302)(295, 303)(296, 301)(297, 300)(299, 308)(304, 315)(305, 314)(306, 318)(307, 317)(309, 322)(310, 321)(311, 325)(312, 324)(313, 327)(316, 331)(319, 330)(320, 335)(323, 339)(326, 338)(328, 345)(329, 344)(332, 350)(333, 349)(334, 352)(336, 355)(337, 354)(340, 360)(341, 359)(342, 362)(343, 363)(346, 367)(347, 366)(348, 361)(351, 358)(353, 370)(356, 374)(357, 373)(364, 378)(365, 377)(368, 379)(369, 380)(371, 382)(372, 381)(375, 383)(376, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1772
Graph:: simple bipartite
	v = 144 e = 192 f = 12
	degree seq :: [ 2^96, 4^48 ]

E19.1767 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, (Y3^2 * Y1)^2, Y3^8, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 97, 4, 100, 14, 110, 34, 130, 59, 155, 37, 133, 17, 113, 5, 101)(2, 98, 7, 103, 23, 119, 45, 141, 73, 169, 48, 144, 26, 122, 8, 104)(3, 99, 10, 106, 18, 114, 38, 134, 64, 160, 52, 148, 29, 125, 11, 107)(6, 102, 19, 115, 9, 105, 27, 123, 50, 146, 66, 162, 40, 136, 20, 116)(12, 108, 30, 126, 15, 111, 35, 131, 62, 158, 77, 173, 49, 145, 31, 127)(13, 109, 32, 128, 16, 112, 36, 132, 39, 135, 65, 161, 58, 154, 33, 129)(21, 117, 41, 137, 24, 120, 46, 142, 76, 172, 87, 183, 63, 159, 42, 138)(22, 118, 43, 139, 25, 121, 47, 143, 28, 124, 51, 147, 72, 168, 44, 140)(53, 149, 79, 175, 55, 151, 83, 179, 88, 184, 86, 182, 60, 156, 80, 176)(54, 150, 81, 177, 56, 152, 84, 180, 57, 153, 85, 181, 61, 157, 82, 178)(67, 163, 89, 185, 69, 165, 93, 189, 78, 174, 96, 192, 74, 170, 90, 186)(68, 164, 91, 187, 70, 166, 94, 190, 71, 167, 95, 191, 75, 171, 92, 188)(193, 194)(195, 201)(196, 204)(197, 207)(198, 210)(199, 213)(200, 216)(202, 217)(203, 220)(205, 219)(206, 218)(208, 211)(209, 215)(212, 231)(214, 230)(221, 242)(222, 245)(223, 247)(224, 248)(225, 249)(226, 241)(227, 252)(228, 246)(229, 254)(232, 256)(233, 259)(234, 261)(235, 262)(236, 263)(237, 255)(238, 266)(239, 260)(240, 268)(243, 267)(244, 264)(250, 258)(251, 265)(253, 257)(269, 280)(270, 279)(271, 282)(272, 281)(273, 283)(274, 286)(275, 288)(276, 284)(277, 287)(278, 285)(289, 291)(290, 294)(292, 301)(293, 304)(295, 310)(296, 313)(297, 314)(298, 309)(299, 312)(300, 307)(302, 317)(303, 308)(305, 306)(311, 328)(315, 337)(316, 336)(318, 342)(319, 344)(320, 341)(321, 343)(322, 346)(323, 349)(324, 348)(325, 327)(326, 351)(329, 356)(330, 358)(331, 355)(332, 357)(333, 360)(334, 363)(335, 362)(338, 361)(339, 366)(340, 364)(345, 365)(347, 352)(350, 354)(353, 376)(359, 375)(367, 380)(368, 379)(369, 378)(370, 377)(371, 383)(372, 384)(373, 381)(374, 382)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1769
Graph:: simple bipartite
	v = 108 e = 192 f = 48
	degree seq :: [ 2^96, 16^12 ]

E19.1768 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = (C8 x S3) : C2 (small group id <96, 126>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, (Y3^2 * Y1)^2, Y3^8, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 97, 4, 100, 14, 110, 34, 130, 59, 155, 37, 133, 17, 113, 5, 101)(2, 98, 7, 103, 23, 119, 45, 141, 73, 169, 48, 144, 26, 122, 8, 104)(3, 99, 10, 106, 18, 114, 38, 134, 64, 160, 52, 148, 29, 125, 11, 107)(6, 102, 19, 115, 9, 105, 27, 123, 50, 146, 66, 162, 40, 136, 20, 116)(12, 108, 30, 126, 15, 111, 35, 131, 62, 158, 77, 173, 49, 145, 31, 127)(13, 109, 32, 128, 16, 112, 36, 132, 39, 135, 65, 161, 58, 154, 33, 129)(21, 117, 41, 137, 24, 120, 46, 142, 76, 172, 87, 183, 63, 159, 42, 138)(22, 118, 43, 139, 25, 121, 47, 143, 28, 124, 51, 147, 72, 168, 44, 140)(53, 149, 79, 175, 55, 151, 83, 179, 88, 184, 86, 182, 60, 156, 80, 176)(54, 150, 81, 177, 56, 152, 84, 180, 57, 153, 85, 181, 61, 157, 82, 178)(67, 163, 89, 185, 69, 165, 93, 189, 78, 174, 96, 192, 74, 170, 90, 186)(68, 164, 91, 187, 70, 166, 94, 190, 71, 167, 95, 191, 75, 171, 92, 188)(193, 194)(195, 201)(196, 204)(197, 207)(198, 210)(199, 213)(200, 216)(202, 217)(203, 220)(205, 219)(206, 218)(208, 211)(209, 215)(212, 231)(214, 230)(221, 242)(222, 245)(223, 247)(224, 248)(225, 249)(226, 241)(227, 252)(228, 246)(229, 254)(232, 256)(233, 259)(234, 261)(235, 262)(236, 263)(237, 255)(238, 266)(239, 260)(240, 268)(243, 267)(244, 264)(250, 258)(251, 265)(253, 257)(269, 280)(270, 279)(271, 285)(272, 288)(273, 287)(274, 284)(275, 281)(276, 286)(277, 283)(278, 282)(289, 291)(290, 294)(292, 301)(293, 304)(295, 310)(296, 313)(297, 314)(298, 309)(299, 312)(300, 307)(302, 317)(303, 308)(305, 306)(311, 328)(315, 337)(316, 336)(318, 342)(319, 344)(320, 341)(321, 343)(322, 346)(323, 349)(324, 348)(325, 327)(326, 351)(329, 356)(330, 358)(331, 355)(332, 357)(333, 360)(334, 363)(335, 362)(338, 361)(339, 366)(340, 364)(345, 365)(347, 352)(350, 354)(353, 376)(359, 375)(367, 382)(368, 383)(369, 381)(370, 384)(371, 379)(372, 377)(373, 378)(374, 380)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1770
Graph:: simple bipartite
	v = 108 e = 192 f = 48
	degree seq :: [ 2^96, 16^12 ]

E19.1769 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3 * Y1 * Y2 * Y3 * Y2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, (Y1 * Y2)^8 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 8, 104, 200, 296)(5, 101, 197, 293, 12, 108, 204, 300)(7, 103, 199, 295, 16, 112, 208, 304)(9, 105, 201, 297, 18, 114, 210, 306)(10, 106, 202, 298, 19, 115, 211, 307)(11, 107, 203, 299, 21, 117, 213, 309)(13, 109, 205, 301, 23, 119, 215, 311)(14, 110, 206, 302, 24, 120, 216, 312)(15, 111, 207, 303, 26, 122, 218, 314)(17, 113, 209, 305, 28, 124, 220, 316)(20, 116, 212, 308, 33, 129, 225, 321)(22, 118, 214, 310, 35, 131, 227, 323)(25, 121, 217, 313, 40, 136, 232, 328)(27, 123, 219, 315, 42, 138, 234, 330)(29, 125, 221, 317, 44, 140, 236, 332)(30, 126, 222, 318, 45, 141, 237, 333)(31, 127, 223, 319, 46, 142, 238, 334)(32, 128, 224, 320, 48, 144, 240, 336)(34, 130, 226, 322, 50, 146, 242, 338)(36, 132, 228, 324, 52, 148, 244, 340)(37, 133, 229, 325, 53, 149, 245, 341)(38, 134, 230, 326, 54, 150, 246, 342)(39, 135, 231, 327, 56, 152, 248, 344)(41, 137, 233, 329, 58, 154, 250, 346)(43, 139, 235, 331, 60, 156, 252, 348)(47, 143, 239, 335, 62, 158, 254, 350)(49, 145, 241, 337, 64, 160, 256, 352)(51, 147, 243, 339, 66, 162, 258, 354)(55, 151, 247, 343, 68, 164, 260, 356)(57, 153, 249, 345, 70, 166, 262, 358)(59, 155, 251, 347, 72, 168, 264, 360)(61, 157, 253, 349, 74, 170, 266, 362)(63, 159, 255, 351, 76, 172, 268, 364)(65, 161, 257, 353, 78, 174, 270, 366)(67, 163, 259, 355, 79, 175, 271, 367)(69, 165, 261, 357, 81, 177, 273, 369)(71, 167, 263, 359, 83, 179, 275, 371)(73, 169, 265, 361, 84, 180, 276, 372)(75, 171, 267, 363, 86, 182, 278, 374)(77, 173, 269, 365, 88, 184, 280, 376)(80, 176, 272, 368, 89, 185, 281, 377)(82, 178, 274, 370, 91, 187, 283, 379)(85, 181, 277, 373, 92, 188, 284, 380)(87, 183, 279, 375, 94, 190, 286, 382)(90, 186, 282, 378, 95, 191, 287, 383)(93, 189, 285, 381, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 112)(11, 101)(12, 118)(13, 102)(14, 117)(15, 121)(16, 106)(17, 104)(18, 125)(19, 127)(20, 128)(21, 110)(22, 108)(23, 132)(24, 134)(25, 111)(26, 137)(27, 136)(28, 133)(29, 114)(30, 131)(31, 115)(32, 116)(33, 145)(34, 144)(35, 126)(36, 119)(37, 124)(38, 120)(39, 151)(40, 123)(41, 122)(42, 155)(43, 154)(44, 148)(45, 150)(46, 149)(47, 157)(48, 130)(49, 129)(50, 161)(51, 160)(52, 140)(53, 142)(54, 141)(55, 135)(56, 165)(57, 164)(58, 139)(59, 138)(60, 168)(61, 143)(62, 171)(63, 170)(64, 147)(65, 146)(66, 174)(67, 169)(68, 153)(69, 152)(70, 178)(71, 177)(72, 156)(73, 163)(74, 159)(75, 158)(76, 183)(77, 182)(78, 162)(79, 181)(80, 180)(81, 167)(82, 166)(83, 187)(84, 176)(85, 175)(86, 173)(87, 172)(88, 190)(89, 189)(90, 188)(91, 179)(92, 186)(93, 185)(94, 184)(95, 192)(96, 191)(193, 291)(194, 293)(195, 289)(196, 298)(197, 290)(198, 302)(199, 303)(200, 301)(201, 300)(202, 292)(203, 308)(204, 297)(205, 296)(206, 294)(207, 295)(208, 315)(209, 314)(210, 318)(211, 317)(212, 299)(213, 322)(214, 321)(215, 325)(216, 324)(217, 327)(218, 305)(219, 304)(220, 331)(221, 307)(222, 306)(223, 330)(224, 335)(225, 310)(226, 309)(227, 339)(228, 312)(229, 311)(230, 338)(231, 313)(232, 345)(233, 344)(234, 319)(235, 316)(236, 341)(237, 340)(238, 348)(239, 320)(240, 351)(241, 350)(242, 326)(243, 323)(244, 333)(245, 332)(246, 354)(247, 355)(248, 329)(249, 328)(250, 359)(251, 358)(252, 334)(253, 361)(254, 337)(255, 336)(256, 365)(257, 364)(258, 342)(259, 343)(260, 368)(261, 367)(262, 347)(263, 346)(264, 371)(265, 349)(266, 373)(267, 372)(268, 353)(269, 352)(270, 376)(271, 357)(272, 356)(273, 378)(274, 377)(275, 360)(276, 363)(277, 362)(278, 381)(279, 380)(280, 366)(281, 370)(282, 369)(283, 383)(284, 375)(285, 374)(286, 384)(287, 379)(288, 382)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1767
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 108
	degree seq :: [ 8^48 ]

E19.1770 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = (C8 x S3) : C2 (small group id <96, 126>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3, (Y1 * Y2)^8 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 8, 104, 200, 296)(5, 101, 197, 293, 12, 108, 204, 300)(7, 103, 199, 295, 16, 112, 208, 304)(9, 105, 201, 297, 18, 114, 210, 306)(10, 106, 202, 298, 19, 115, 211, 307)(11, 107, 203, 299, 21, 117, 213, 309)(13, 109, 205, 301, 23, 119, 215, 311)(14, 110, 206, 302, 24, 120, 216, 312)(15, 111, 207, 303, 26, 122, 218, 314)(17, 113, 209, 305, 28, 124, 220, 316)(20, 116, 212, 308, 33, 129, 225, 321)(22, 118, 214, 310, 35, 131, 227, 323)(25, 121, 217, 313, 40, 136, 232, 328)(27, 123, 219, 315, 42, 138, 234, 330)(29, 125, 221, 317, 44, 140, 236, 332)(30, 126, 222, 318, 45, 141, 237, 333)(31, 127, 223, 319, 46, 142, 238, 334)(32, 128, 224, 320, 48, 144, 240, 336)(34, 130, 226, 322, 50, 146, 242, 338)(36, 132, 228, 324, 52, 148, 244, 340)(37, 133, 229, 325, 53, 149, 245, 341)(38, 134, 230, 326, 54, 150, 246, 342)(39, 135, 231, 327, 56, 152, 248, 344)(41, 137, 233, 329, 58, 154, 250, 346)(43, 139, 235, 331, 60, 156, 252, 348)(47, 143, 239, 335, 66, 162, 258, 354)(49, 145, 241, 337, 68, 164, 260, 356)(51, 147, 243, 339, 70, 166, 262, 358)(55, 151, 247, 343, 76, 172, 268, 364)(57, 153, 249, 345, 78, 174, 270, 366)(59, 155, 251, 347, 74, 170, 266, 362)(61, 157, 253, 349, 80, 176, 272, 368)(62, 158, 254, 350, 81, 177, 273, 369)(63, 159, 255, 351, 79, 175, 271, 367)(64, 160, 256, 352, 69, 165, 261, 357)(65, 161, 257, 353, 83, 179, 275, 371)(67, 163, 259, 355, 85, 181, 277, 373)(71, 167, 263, 359, 87, 183, 279, 375)(72, 168, 264, 360, 88, 184, 280, 376)(73, 169, 265, 361, 86, 182, 278, 374)(75, 171, 267, 363, 89, 185, 281, 377)(77, 173, 269, 365, 91, 187, 283, 379)(82, 178, 274, 370, 93, 189, 285, 381)(84, 180, 276, 372, 95, 191, 287, 383)(90, 186, 282, 378, 96, 192, 288, 384)(92, 188, 284, 380, 94, 190, 286, 382)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 112)(11, 101)(12, 118)(13, 102)(14, 117)(15, 121)(16, 106)(17, 104)(18, 125)(19, 127)(20, 128)(21, 110)(22, 108)(23, 132)(24, 134)(25, 111)(26, 137)(27, 136)(28, 133)(29, 114)(30, 131)(31, 115)(32, 116)(33, 145)(34, 144)(35, 126)(36, 119)(37, 124)(38, 120)(39, 151)(40, 123)(41, 122)(42, 155)(43, 154)(44, 157)(45, 159)(46, 158)(47, 161)(48, 130)(49, 129)(50, 165)(51, 164)(52, 167)(53, 169)(54, 168)(55, 135)(56, 173)(57, 172)(58, 139)(59, 138)(60, 166)(61, 140)(62, 142)(63, 141)(64, 170)(65, 143)(66, 180)(67, 179)(68, 147)(69, 146)(70, 156)(71, 148)(72, 150)(73, 149)(74, 160)(75, 178)(76, 153)(77, 152)(78, 184)(79, 187)(80, 188)(81, 181)(82, 171)(83, 163)(84, 162)(85, 177)(86, 191)(87, 192)(88, 174)(89, 190)(90, 189)(91, 175)(92, 176)(93, 186)(94, 185)(95, 182)(96, 183)(193, 291)(194, 293)(195, 289)(196, 298)(197, 290)(198, 302)(199, 303)(200, 301)(201, 300)(202, 292)(203, 308)(204, 297)(205, 296)(206, 294)(207, 295)(208, 315)(209, 314)(210, 318)(211, 317)(212, 299)(213, 322)(214, 321)(215, 325)(216, 324)(217, 327)(218, 305)(219, 304)(220, 331)(221, 307)(222, 306)(223, 330)(224, 335)(225, 310)(226, 309)(227, 339)(228, 312)(229, 311)(230, 338)(231, 313)(232, 345)(233, 344)(234, 319)(235, 316)(236, 350)(237, 349)(238, 352)(239, 320)(240, 355)(241, 354)(242, 326)(243, 323)(244, 360)(245, 359)(246, 362)(247, 363)(248, 329)(249, 328)(250, 367)(251, 366)(252, 361)(253, 333)(254, 332)(255, 358)(256, 334)(257, 370)(258, 337)(259, 336)(260, 374)(261, 373)(262, 351)(263, 341)(264, 340)(265, 348)(266, 342)(267, 343)(268, 378)(269, 377)(270, 347)(271, 346)(272, 379)(273, 380)(274, 353)(275, 382)(276, 381)(277, 357)(278, 356)(279, 383)(280, 384)(281, 365)(282, 364)(283, 368)(284, 369)(285, 372)(286, 371)(287, 375)(288, 376)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1768
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 108
	degree seq :: [ 8^48 ]

E19.1771 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, (Y3^2 * Y1)^2, Y3^8, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 14, 110, 206, 302, 34, 130, 226, 322, 59, 155, 251, 347, 37, 133, 229, 325, 17, 113, 209, 305, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 23, 119, 215, 311, 45, 141, 237, 333, 73, 169, 265, 361, 48, 144, 240, 336, 26, 122, 218, 314, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 18, 114, 210, 306, 38, 134, 230, 326, 64, 160, 256, 352, 52, 148, 244, 340, 29, 125, 221, 317, 11, 107, 203, 299)(6, 102, 198, 294, 19, 115, 211, 307, 9, 105, 201, 297, 27, 123, 219, 315, 50, 146, 242, 338, 66, 162, 258, 354, 40, 136, 232, 328, 20, 116, 212, 308)(12, 108, 204, 300, 30, 126, 222, 318, 15, 111, 207, 303, 35, 131, 227, 323, 62, 158, 254, 350, 77, 173, 269, 365, 49, 145, 241, 337, 31, 127, 223, 319)(13, 109, 205, 301, 32, 128, 224, 320, 16, 112, 208, 304, 36, 132, 228, 324, 39, 135, 231, 327, 65, 161, 257, 353, 58, 154, 250, 346, 33, 129, 225, 321)(21, 117, 213, 309, 41, 137, 233, 329, 24, 120, 216, 312, 46, 142, 238, 334, 76, 172, 268, 364, 87, 183, 279, 375, 63, 159, 255, 351, 42, 138, 234, 330)(22, 118, 214, 310, 43, 139, 235, 331, 25, 121, 217, 313, 47, 143, 239, 335, 28, 124, 220, 316, 51, 147, 243, 339, 72, 168, 264, 360, 44, 140, 236, 332)(53, 149, 245, 341, 79, 175, 271, 367, 55, 151, 247, 343, 83, 179, 275, 371, 88, 184, 280, 376, 86, 182, 278, 374, 60, 156, 252, 348, 80, 176, 272, 368)(54, 150, 246, 342, 81, 177, 273, 369, 56, 152, 248, 344, 84, 180, 276, 372, 57, 153, 249, 345, 85, 181, 277, 373, 61, 157, 253, 349, 82, 178, 274, 370)(67, 163, 259, 355, 89, 185, 281, 377, 69, 165, 261, 357, 93, 189, 285, 381, 78, 174, 270, 366, 96, 192, 288, 384, 74, 170, 266, 362, 90, 186, 282, 378)(68, 164, 260, 356, 91, 187, 283, 379, 70, 166, 262, 358, 94, 190, 286, 382, 71, 167, 263, 359, 95, 191, 287, 383, 75, 171, 267, 363, 92, 188, 284, 380)
	L = (1, 98)(2, 97)(3, 105)(4, 108)(5, 111)(6, 114)(7, 117)(8, 120)(9, 99)(10, 121)(11, 124)(12, 100)(13, 123)(14, 122)(15, 101)(16, 115)(17, 119)(18, 102)(19, 112)(20, 135)(21, 103)(22, 134)(23, 113)(24, 104)(25, 106)(26, 110)(27, 109)(28, 107)(29, 146)(30, 149)(31, 151)(32, 152)(33, 153)(34, 145)(35, 156)(36, 150)(37, 158)(38, 118)(39, 116)(40, 160)(41, 163)(42, 165)(43, 166)(44, 167)(45, 159)(46, 170)(47, 164)(48, 172)(49, 130)(50, 125)(51, 171)(52, 168)(53, 126)(54, 132)(55, 127)(56, 128)(57, 129)(58, 162)(59, 169)(60, 131)(61, 161)(62, 133)(63, 141)(64, 136)(65, 157)(66, 154)(67, 137)(68, 143)(69, 138)(70, 139)(71, 140)(72, 148)(73, 155)(74, 142)(75, 147)(76, 144)(77, 184)(78, 183)(79, 186)(80, 185)(81, 187)(82, 190)(83, 192)(84, 188)(85, 191)(86, 189)(87, 174)(88, 173)(89, 176)(90, 175)(91, 177)(92, 180)(93, 182)(94, 178)(95, 181)(96, 179)(193, 291)(194, 294)(195, 289)(196, 301)(197, 304)(198, 290)(199, 310)(200, 313)(201, 314)(202, 309)(203, 312)(204, 307)(205, 292)(206, 317)(207, 308)(208, 293)(209, 306)(210, 305)(211, 300)(212, 303)(213, 298)(214, 295)(215, 328)(216, 299)(217, 296)(218, 297)(219, 337)(220, 336)(221, 302)(222, 342)(223, 344)(224, 341)(225, 343)(226, 346)(227, 349)(228, 348)(229, 327)(230, 351)(231, 325)(232, 311)(233, 356)(234, 358)(235, 355)(236, 357)(237, 360)(238, 363)(239, 362)(240, 316)(241, 315)(242, 361)(243, 366)(244, 364)(245, 320)(246, 318)(247, 321)(248, 319)(249, 365)(250, 322)(251, 352)(252, 324)(253, 323)(254, 354)(255, 326)(256, 347)(257, 376)(258, 350)(259, 331)(260, 329)(261, 332)(262, 330)(263, 375)(264, 333)(265, 338)(266, 335)(267, 334)(268, 340)(269, 345)(270, 339)(271, 380)(272, 379)(273, 378)(274, 377)(275, 383)(276, 384)(277, 381)(278, 382)(279, 359)(280, 353)(281, 370)(282, 369)(283, 368)(284, 367)(285, 373)(286, 374)(287, 371)(288, 372)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.1765
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 192 f = 144
	degree seq :: [ 32^12 ]

E19.1772 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = (C8 x S3) : C2 (small group id <96, 126>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, (Y3^2 * Y1)^2, Y3^8, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 14, 110, 206, 302, 34, 130, 226, 322, 59, 155, 251, 347, 37, 133, 229, 325, 17, 113, 209, 305, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 23, 119, 215, 311, 45, 141, 237, 333, 73, 169, 265, 361, 48, 144, 240, 336, 26, 122, 218, 314, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 18, 114, 210, 306, 38, 134, 230, 326, 64, 160, 256, 352, 52, 148, 244, 340, 29, 125, 221, 317, 11, 107, 203, 299)(6, 102, 198, 294, 19, 115, 211, 307, 9, 105, 201, 297, 27, 123, 219, 315, 50, 146, 242, 338, 66, 162, 258, 354, 40, 136, 232, 328, 20, 116, 212, 308)(12, 108, 204, 300, 30, 126, 222, 318, 15, 111, 207, 303, 35, 131, 227, 323, 62, 158, 254, 350, 77, 173, 269, 365, 49, 145, 241, 337, 31, 127, 223, 319)(13, 109, 205, 301, 32, 128, 224, 320, 16, 112, 208, 304, 36, 132, 228, 324, 39, 135, 231, 327, 65, 161, 257, 353, 58, 154, 250, 346, 33, 129, 225, 321)(21, 117, 213, 309, 41, 137, 233, 329, 24, 120, 216, 312, 46, 142, 238, 334, 76, 172, 268, 364, 87, 183, 279, 375, 63, 159, 255, 351, 42, 138, 234, 330)(22, 118, 214, 310, 43, 139, 235, 331, 25, 121, 217, 313, 47, 143, 239, 335, 28, 124, 220, 316, 51, 147, 243, 339, 72, 168, 264, 360, 44, 140, 236, 332)(53, 149, 245, 341, 79, 175, 271, 367, 55, 151, 247, 343, 83, 179, 275, 371, 88, 184, 280, 376, 86, 182, 278, 374, 60, 156, 252, 348, 80, 176, 272, 368)(54, 150, 246, 342, 81, 177, 273, 369, 56, 152, 248, 344, 84, 180, 276, 372, 57, 153, 249, 345, 85, 181, 277, 373, 61, 157, 253, 349, 82, 178, 274, 370)(67, 163, 259, 355, 89, 185, 281, 377, 69, 165, 261, 357, 93, 189, 285, 381, 78, 174, 270, 366, 96, 192, 288, 384, 74, 170, 266, 362, 90, 186, 282, 378)(68, 164, 260, 356, 91, 187, 283, 379, 70, 166, 262, 358, 94, 190, 286, 382, 71, 167, 263, 359, 95, 191, 287, 383, 75, 171, 267, 363, 92, 188, 284, 380)
	L = (1, 98)(2, 97)(3, 105)(4, 108)(5, 111)(6, 114)(7, 117)(8, 120)(9, 99)(10, 121)(11, 124)(12, 100)(13, 123)(14, 122)(15, 101)(16, 115)(17, 119)(18, 102)(19, 112)(20, 135)(21, 103)(22, 134)(23, 113)(24, 104)(25, 106)(26, 110)(27, 109)(28, 107)(29, 146)(30, 149)(31, 151)(32, 152)(33, 153)(34, 145)(35, 156)(36, 150)(37, 158)(38, 118)(39, 116)(40, 160)(41, 163)(42, 165)(43, 166)(44, 167)(45, 159)(46, 170)(47, 164)(48, 172)(49, 130)(50, 125)(51, 171)(52, 168)(53, 126)(54, 132)(55, 127)(56, 128)(57, 129)(58, 162)(59, 169)(60, 131)(61, 161)(62, 133)(63, 141)(64, 136)(65, 157)(66, 154)(67, 137)(68, 143)(69, 138)(70, 139)(71, 140)(72, 148)(73, 155)(74, 142)(75, 147)(76, 144)(77, 184)(78, 183)(79, 189)(80, 192)(81, 191)(82, 188)(83, 185)(84, 190)(85, 187)(86, 186)(87, 174)(88, 173)(89, 179)(90, 182)(91, 181)(92, 178)(93, 175)(94, 180)(95, 177)(96, 176)(193, 291)(194, 294)(195, 289)(196, 301)(197, 304)(198, 290)(199, 310)(200, 313)(201, 314)(202, 309)(203, 312)(204, 307)(205, 292)(206, 317)(207, 308)(208, 293)(209, 306)(210, 305)(211, 300)(212, 303)(213, 298)(214, 295)(215, 328)(216, 299)(217, 296)(218, 297)(219, 337)(220, 336)(221, 302)(222, 342)(223, 344)(224, 341)(225, 343)(226, 346)(227, 349)(228, 348)(229, 327)(230, 351)(231, 325)(232, 311)(233, 356)(234, 358)(235, 355)(236, 357)(237, 360)(238, 363)(239, 362)(240, 316)(241, 315)(242, 361)(243, 366)(244, 364)(245, 320)(246, 318)(247, 321)(248, 319)(249, 365)(250, 322)(251, 352)(252, 324)(253, 323)(254, 354)(255, 326)(256, 347)(257, 376)(258, 350)(259, 331)(260, 329)(261, 332)(262, 330)(263, 375)(264, 333)(265, 338)(266, 335)(267, 334)(268, 340)(269, 345)(270, 339)(271, 382)(272, 383)(273, 381)(274, 384)(275, 379)(276, 377)(277, 378)(278, 380)(279, 359)(280, 353)(281, 372)(282, 373)(283, 371)(284, 374)(285, 369)(286, 367)(287, 368)(288, 370)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.1766
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 192 f = 144
	degree seq :: [ 32^12 ]

E19.1773 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 1313>$ (small group id <192, 1313>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3 * Y1 * Y2)^2, (Y2 * Y1)^6, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 21, 117)(16, 112, 19, 115)(17, 113, 28, 124)(18, 114, 29, 125)(22, 118, 34, 130)(24, 120, 37, 133)(25, 121, 36, 132)(26, 122, 39, 135)(27, 123, 40, 136)(30, 126, 44, 140)(31, 127, 43, 139)(32, 128, 46, 142)(33, 129, 47, 143)(35, 131, 42, 138)(38, 134, 52, 148)(41, 137, 56, 152)(45, 141, 60, 156)(48, 144, 64, 160)(49, 145, 58, 154)(50, 146, 57, 153)(51, 147, 62, 158)(53, 149, 68, 164)(54, 150, 59, 155)(55, 151, 70, 166)(61, 157, 75, 171)(63, 159, 77, 173)(65, 161, 73, 169)(66, 162, 72, 168)(67, 163, 80, 176)(69, 165, 82, 178)(71, 167, 78, 174)(74, 170, 85, 181)(76, 172, 87, 183)(79, 175, 89, 185)(81, 177, 88, 184)(83, 179, 86, 182)(84, 180, 92, 188)(90, 186, 94, 190)(91, 187, 93, 189)(95, 191, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 217, 313)(209, 305, 219, 315)(211, 307, 222, 318)(212, 308, 223, 319)(214, 310, 225, 321)(215, 311, 227, 323)(218, 314, 230, 326)(220, 316, 231, 327)(221, 317, 234, 330)(224, 320, 237, 333)(226, 322, 238, 334)(228, 324, 241, 337)(229, 325, 242, 338)(232, 328, 246, 342)(233, 329, 245, 341)(235, 331, 249, 345)(236, 332, 250, 346)(239, 335, 254, 350)(240, 336, 253, 349)(243, 339, 257, 353)(244, 340, 258, 354)(247, 343, 261, 357)(248, 344, 262, 358)(251, 347, 264, 360)(252, 348, 265, 361)(255, 351, 268, 364)(256, 352, 269, 365)(259, 355, 271, 367)(260, 356, 272, 368)(263, 359, 275, 371)(266, 362, 276, 372)(267, 363, 277, 373)(270, 366, 280, 376)(273, 369, 282, 378)(274, 370, 281, 377)(278, 374, 285, 381)(279, 375, 284, 380)(283, 379, 287, 383)(286, 382, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 218)(16, 219)(17, 201)(18, 222)(19, 202)(20, 224)(21, 225)(22, 204)(23, 228)(24, 205)(25, 230)(26, 207)(27, 208)(28, 233)(29, 235)(30, 210)(31, 237)(32, 212)(33, 213)(34, 240)(35, 241)(36, 215)(37, 243)(38, 217)(39, 245)(40, 247)(41, 220)(42, 249)(43, 221)(44, 251)(45, 223)(46, 253)(47, 255)(48, 226)(49, 227)(50, 257)(51, 229)(52, 259)(53, 231)(54, 261)(55, 232)(56, 263)(57, 234)(58, 264)(59, 236)(60, 266)(61, 238)(62, 268)(63, 239)(64, 270)(65, 242)(66, 271)(67, 244)(68, 273)(69, 246)(70, 275)(71, 248)(72, 250)(73, 276)(74, 252)(75, 278)(76, 254)(77, 280)(78, 256)(79, 258)(80, 282)(81, 260)(82, 283)(83, 262)(84, 265)(85, 285)(86, 267)(87, 286)(88, 269)(89, 287)(90, 272)(91, 274)(92, 288)(93, 277)(94, 279)(95, 281)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1783
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1774 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 1313>$ (small group id <192, 1313>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2, (Y3 * Y1 * Y3)^2, Y3^6, (Y3 * Y1 * Y3^-1 * Y2)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 16, 112)(7, 103, 19, 115)(8, 104, 21, 117)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 22, 118)(15, 111, 20, 116)(17, 113, 33, 129)(18, 114, 35, 131)(23, 119, 36, 132)(25, 121, 34, 130)(27, 123, 32, 128)(28, 124, 45, 141)(29, 125, 46, 142)(30, 126, 41, 137)(31, 127, 47, 143)(37, 133, 52, 148)(38, 134, 53, 149)(39, 135, 48, 144)(40, 136, 54, 150)(42, 138, 55, 151)(43, 139, 56, 152)(44, 140, 57, 153)(49, 145, 61, 157)(50, 146, 62, 158)(51, 147, 63, 159)(58, 154, 70, 166)(59, 155, 71, 167)(60, 156, 72, 168)(64, 160, 76, 172)(65, 161, 77, 173)(66, 162, 78, 174)(67, 163, 79, 175)(68, 164, 80, 176)(69, 165, 81, 177)(73, 169, 85, 181)(74, 170, 86, 182)(75, 171, 87, 183)(82, 178, 88, 184)(83, 179, 90, 186)(84, 180, 89, 185)(91, 187, 96, 192)(92, 188, 95, 191)(93, 189, 94, 190)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 210, 306)(200, 296, 209, 305)(201, 297, 212, 308)(204, 300, 219, 315)(205, 301, 208, 304)(206, 302, 218, 314)(207, 303, 217, 313)(211, 307, 228, 324)(213, 309, 227, 323)(214, 310, 226, 322)(215, 311, 231, 327)(216, 312, 233, 329)(220, 316, 236, 332)(221, 317, 235, 331)(222, 318, 224, 320)(223, 319, 234, 330)(225, 321, 240, 336)(229, 325, 243, 339)(230, 326, 242, 338)(232, 328, 241, 337)(237, 333, 247, 343)(238, 334, 249, 345)(239, 335, 248, 344)(244, 340, 253, 349)(245, 341, 255, 351)(246, 342, 254, 350)(250, 346, 260, 356)(251, 347, 259, 355)(252, 348, 261, 357)(256, 352, 266, 362)(257, 353, 265, 361)(258, 354, 267, 363)(262, 358, 273, 369)(263, 359, 272, 368)(264, 360, 271, 367)(268, 364, 279, 375)(269, 365, 278, 374)(270, 366, 277, 373)(274, 370, 285, 381)(275, 371, 284, 380)(276, 372, 283, 379)(280, 376, 288, 384)(281, 377, 287, 383)(282, 378, 286, 382)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 209)(7, 212)(8, 194)(9, 210)(10, 217)(11, 195)(12, 220)(13, 222)(14, 223)(15, 197)(16, 203)(17, 226)(18, 198)(19, 229)(20, 231)(21, 232)(22, 200)(23, 201)(24, 234)(25, 224)(26, 236)(27, 235)(28, 206)(29, 204)(30, 207)(31, 233)(32, 208)(33, 241)(34, 215)(35, 243)(36, 242)(37, 213)(38, 211)(39, 214)(40, 240)(41, 221)(42, 218)(43, 216)(44, 219)(45, 250)(46, 252)(47, 251)(48, 230)(49, 227)(50, 225)(51, 228)(52, 256)(53, 258)(54, 257)(55, 259)(56, 261)(57, 260)(58, 238)(59, 237)(60, 239)(61, 265)(62, 267)(63, 266)(64, 245)(65, 244)(66, 246)(67, 248)(68, 247)(69, 249)(70, 274)(71, 276)(72, 275)(73, 254)(74, 253)(75, 255)(76, 280)(77, 282)(78, 281)(79, 283)(80, 285)(81, 284)(82, 263)(83, 262)(84, 264)(85, 286)(86, 288)(87, 287)(88, 269)(89, 268)(90, 270)(91, 272)(92, 271)(93, 273)(94, 278)(95, 277)(96, 279)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1784
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1775 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 1313>$ (small group id <192, 1313>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1)^2, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 36, 132)(22, 118, 38, 134)(24, 120, 41, 137)(26, 122, 44, 140)(27, 123, 37, 133)(29, 125, 35, 131)(32, 128, 50, 146)(34, 130, 53, 149)(39, 135, 57, 153)(40, 136, 59, 155)(42, 138, 62, 158)(43, 139, 63, 159)(45, 141, 61, 157)(46, 142, 66, 162)(47, 143, 68, 164)(48, 144, 69, 165)(49, 145, 71, 167)(51, 147, 74, 170)(52, 148, 75, 171)(54, 150, 73, 169)(55, 151, 78, 174)(56, 152, 80, 176)(58, 154, 76, 172)(60, 156, 72, 168)(64, 160, 70, 166)(65, 161, 79, 175)(67, 163, 77, 173)(81, 177, 92, 188)(82, 178, 90, 186)(83, 179, 94, 190)(84, 180, 89, 185)(85, 181, 96, 192)(86, 182, 91, 187)(87, 183, 95, 191)(88, 184, 93, 189)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 224, 320)(212, 308, 226, 322)(214, 310, 229, 325)(215, 311, 231, 327)(217, 313, 234, 330)(219, 315, 237, 333)(220, 316, 238, 334)(222, 318, 235, 331)(223, 319, 240, 336)(225, 321, 243, 339)(227, 323, 246, 342)(228, 324, 247, 343)(230, 326, 244, 340)(232, 328, 250, 346)(233, 329, 252, 348)(236, 332, 256, 352)(239, 335, 259, 355)(241, 337, 262, 358)(242, 338, 264, 360)(245, 341, 268, 364)(248, 344, 271, 367)(249, 345, 273, 369)(251, 347, 275, 371)(253, 349, 277, 373)(254, 350, 278, 374)(255, 351, 276, 372)(257, 353, 280, 376)(258, 354, 274, 370)(260, 356, 279, 375)(261, 357, 281, 377)(263, 359, 283, 379)(265, 361, 285, 381)(266, 362, 286, 382)(267, 363, 284, 380)(269, 365, 288, 384)(270, 366, 282, 378)(272, 368, 287, 383)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 224)(19, 202)(20, 227)(21, 229)(22, 204)(23, 232)(24, 205)(25, 235)(26, 237)(27, 207)(28, 239)(29, 208)(30, 234)(31, 241)(32, 210)(33, 244)(34, 246)(35, 212)(36, 248)(37, 213)(38, 243)(39, 250)(40, 215)(41, 253)(42, 222)(43, 217)(44, 257)(45, 218)(46, 259)(47, 220)(48, 262)(49, 223)(50, 265)(51, 230)(52, 225)(53, 269)(54, 226)(55, 271)(56, 228)(57, 274)(58, 231)(59, 276)(60, 277)(61, 233)(62, 279)(63, 275)(64, 280)(65, 236)(66, 273)(67, 238)(68, 278)(69, 282)(70, 240)(71, 284)(72, 285)(73, 242)(74, 287)(75, 283)(76, 288)(77, 245)(78, 281)(79, 247)(80, 286)(81, 258)(82, 249)(83, 255)(84, 251)(85, 252)(86, 260)(87, 254)(88, 256)(89, 270)(90, 261)(91, 267)(92, 263)(93, 264)(94, 272)(95, 266)(96, 268)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1782
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1776 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1328>$ (small group id <192, 1328>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, (Y3^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y2 * Y1)^2, (R * Y2 * Y1 * Y2)^2, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 41, 137)(22, 118, 40, 136)(23, 119, 37, 133)(25, 121, 44, 140)(27, 123, 33, 129)(28, 124, 39, 135)(29, 125, 38, 134)(30, 126, 32, 128)(31, 127, 51, 147)(35, 131, 54, 150)(42, 138, 64, 160)(43, 139, 66, 162)(45, 141, 63, 159)(46, 142, 59, 155)(47, 143, 60, 156)(48, 144, 62, 158)(49, 145, 56, 152)(50, 146, 57, 153)(52, 148, 72, 168)(53, 149, 74, 170)(55, 151, 71, 167)(58, 154, 70, 166)(61, 157, 69, 165)(65, 161, 79, 175)(67, 163, 81, 177)(68, 164, 82, 178)(73, 169, 86, 182)(75, 171, 88, 184)(76, 172, 89, 185)(77, 173, 90, 186)(78, 174, 87, 183)(80, 176, 85, 181)(83, 179, 84, 180)(91, 187, 94, 190)(92, 188, 96, 192)(93, 189, 95, 191)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 235, 331)(215, 311, 234, 330)(216, 312, 237, 333)(218, 314, 240, 336)(220, 316, 242, 338)(221, 317, 241, 337)(224, 320, 245, 341)(225, 321, 244, 340)(226, 322, 247, 343)(228, 324, 250, 346)(230, 326, 252, 348)(231, 327, 251, 347)(233, 329, 253, 349)(236, 332, 257, 353)(238, 334, 260, 356)(239, 335, 259, 355)(243, 339, 261, 357)(246, 342, 265, 361)(248, 344, 268, 364)(249, 345, 267, 363)(254, 350, 270, 366)(255, 351, 269, 365)(256, 352, 272, 368)(258, 354, 275, 371)(262, 358, 277, 373)(263, 359, 276, 372)(264, 360, 279, 375)(266, 362, 282, 378)(271, 367, 283, 379)(273, 369, 285, 381)(274, 370, 284, 380)(278, 374, 286, 382)(280, 376, 288, 384)(281, 377, 287, 383)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 234)(22, 236)(23, 201)(24, 238)(25, 203)(26, 239)(27, 241)(28, 206)(29, 204)(30, 242)(31, 244)(32, 246)(33, 207)(34, 248)(35, 209)(36, 249)(37, 251)(38, 212)(39, 210)(40, 252)(41, 254)(42, 257)(43, 213)(44, 215)(45, 259)(46, 218)(47, 216)(48, 260)(49, 222)(50, 219)(51, 262)(52, 265)(53, 223)(54, 225)(55, 267)(56, 228)(57, 226)(58, 268)(59, 232)(60, 229)(61, 269)(62, 271)(63, 233)(64, 273)(65, 235)(66, 274)(67, 240)(68, 237)(69, 276)(70, 278)(71, 243)(72, 280)(73, 245)(74, 281)(75, 250)(76, 247)(77, 283)(78, 253)(79, 255)(80, 284)(81, 258)(82, 256)(83, 285)(84, 286)(85, 261)(86, 263)(87, 287)(88, 266)(89, 264)(90, 288)(91, 270)(92, 275)(93, 272)(94, 277)(95, 282)(96, 279)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1785
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1777 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C8 x S3) : C2 (small group id <96, 126>)
Aut   = $<192, 1328>$ (small group id <192, 1328>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 41, 137)(22, 118, 40, 136)(23, 119, 37, 133)(25, 121, 44, 140)(27, 123, 33, 129)(28, 124, 39, 135)(29, 125, 38, 134)(30, 126, 32, 128)(31, 127, 51, 147)(35, 131, 54, 150)(42, 138, 64, 160)(43, 139, 66, 162)(45, 141, 63, 159)(46, 142, 59, 155)(47, 143, 60, 156)(48, 144, 62, 158)(49, 145, 56, 152)(50, 146, 57, 153)(52, 148, 72, 168)(53, 149, 74, 170)(55, 151, 71, 167)(58, 154, 70, 166)(61, 157, 77, 173)(65, 161, 80, 176)(67, 163, 82, 178)(68, 164, 83, 179)(69, 165, 85, 181)(73, 169, 88, 184)(75, 171, 90, 186)(76, 172, 91, 187)(78, 174, 89, 185)(79, 175, 92, 188)(81, 177, 86, 182)(84, 180, 87, 183)(93, 189, 95, 191)(94, 190, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 235, 331)(215, 311, 234, 330)(216, 312, 237, 333)(218, 314, 240, 336)(220, 316, 242, 338)(221, 317, 241, 337)(224, 320, 245, 341)(225, 321, 244, 340)(226, 322, 247, 343)(228, 324, 250, 346)(230, 326, 252, 348)(231, 327, 251, 347)(233, 329, 253, 349)(236, 332, 257, 353)(238, 334, 260, 356)(239, 335, 259, 355)(243, 339, 261, 357)(246, 342, 265, 361)(248, 344, 268, 364)(249, 345, 267, 363)(254, 350, 271, 367)(255, 351, 270, 366)(256, 352, 273, 369)(258, 354, 276, 372)(262, 358, 279, 375)(263, 359, 278, 374)(264, 360, 281, 377)(266, 362, 284, 380)(269, 365, 280, 376)(272, 368, 277, 373)(274, 370, 286, 382)(275, 371, 285, 381)(282, 378, 288, 384)(283, 379, 287, 383)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 234)(22, 236)(23, 201)(24, 238)(25, 203)(26, 239)(27, 241)(28, 206)(29, 204)(30, 242)(31, 244)(32, 246)(33, 207)(34, 248)(35, 209)(36, 249)(37, 251)(38, 212)(39, 210)(40, 252)(41, 254)(42, 257)(43, 213)(44, 215)(45, 259)(46, 218)(47, 216)(48, 260)(49, 222)(50, 219)(51, 262)(52, 265)(53, 223)(54, 225)(55, 267)(56, 228)(57, 226)(58, 268)(59, 232)(60, 229)(61, 270)(62, 272)(63, 233)(64, 274)(65, 235)(66, 275)(67, 240)(68, 237)(69, 278)(70, 280)(71, 243)(72, 282)(73, 245)(74, 283)(75, 250)(76, 247)(77, 279)(78, 277)(79, 253)(80, 255)(81, 285)(82, 258)(83, 256)(84, 286)(85, 271)(86, 269)(87, 261)(88, 263)(89, 287)(90, 266)(91, 264)(92, 288)(93, 276)(94, 273)(95, 284)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1786
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1778 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C8 x S3) : C2 (small group id <96, 126>)
Aut   = $<192, 1328>$ (small group id <192, 1328>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y3^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 16, 112)(7, 103, 19, 115)(8, 104, 21, 117)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 22, 118)(15, 111, 20, 116)(17, 113, 34, 130)(18, 114, 36, 132)(23, 119, 37, 133)(25, 121, 43, 139)(27, 123, 33, 129)(28, 124, 50, 146)(29, 125, 51, 147)(30, 126, 52, 148)(31, 127, 54, 150)(32, 128, 44, 140)(35, 131, 56, 152)(38, 134, 63, 159)(39, 135, 64, 160)(40, 136, 65, 161)(41, 137, 67, 163)(42, 138, 57, 153)(45, 141, 70, 166)(46, 142, 59, 155)(47, 143, 71, 167)(48, 144, 73, 169)(49, 145, 62, 158)(53, 149, 68, 164)(55, 151, 66, 162)(58, 154, 80, 176)(60, 156, 81, 177)(61, 157, 83, 179)(69, 165, 84, 180)(72, 168, 89, 185)(74, 170, 79, 175)(75, 171, 87, 183)(76, 172, 88, 184)(77, 173, 85, 181)(78, 174, 86, 182)(82, 178, 93, 189)(90, 186, 95, 191)(91, 187, 94, 190)(92, 188, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 210, 306)(200, 296, 209, 305)(201, 297, 212, 308)(204, 300, 219, 315)(205, 301, 208, 304)(206, 302, 218, 314)(207, 303, 217, 313)(211, 307, 229, 325)(213, 309, 228, 324)(214, 310, 227, 323)(215, 311, 232, 328)(216, 312, 236, 332)(220, 316, 240, 336)(221, 317, 241, 337)(222, 318, 225, 321)(223, 319, 237, 333)(224, 320, 239, 335)(226, 322, 249, 345)(230, 326, 253, 349)(231, 327, 254, 350)(233, 329, 250, 346)(234, 330, 252, 348)(235, 331, 258, 354)(238, 334, 259, 355)(242, 338, 262, 358)(243, 339, 265, 361)(244, 340, 266, 362)(245, 341, 248, 344)(246, 342, 251, 347)(247, 343, 264, 360)(255, 351, 272, 368)(256, 352, 275, 371)(257, 353, 276, 372)(260, 356, 274, 370)(261, 357, 279, 375)(263, 359, 278, 374)(267, 363, 282, 378)(268, 364, 273, 369)(269, 365, 271, 367)(270, 366, 283, 379)(277, 373, 286, 382)(280, 376, 287, 383)(281, 377, 288, 384)(284, 380, 285, 381)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 209)(7, 212)(8, 194)(9, 210)(10, 217)(11, 195)(12, 220)(13, 222)(14, 223)(15, 197)(16, 203)(17, 227)(18, 198)(19, 230)(20, 232)(21, 233)(22, 200)(23, 201)(24, 237)(25, 239)(26, 240)(27, 241)(28, 206)(29, 204)(30, 245)(31, 236)(32, 207)(33, 208)(34, 250)(35, 252)(36, 253)(37, 254)(38, 213)(39, 211)(40, 258)(41, 249)(42, 214)(43, 215)(44, 259)(45, 218)(46, 216)(47, 264)(48, 219)(49, 266)(50, 267)(51, 257)(52, 221)(53, 269)(54, 268)(55, 224)(56, 225)(57, 246)(58, 228)(59, 226)(60, 274)(61, 229)(62, 276)(63, 277)(64, 244)(65, 231)(66, 279)(67, 278)(68, 234)(69, 235)(70, 273)(71, 238)(72, 283)(73, 282)(74, 275)(75, 243)(76, 242)(77, 284)(78, 247)(79, 248)(80, 263)(81, 251)(82, 287)(83, 286)(84, 265)(85, 256)(86, 255)(87, 288)(88, 260)(89, 261)(90, 262)(91, 285)(92, 270)(93, 271)(94, 272)(95, 281)(96, 280)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1787
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1779 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1331>$ (small group id <192, 1331>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1 * Y3)^2, Y3^6, (Y3 * Y1 * Y2 * Y1)^2, (Y3^-1 * Y1 * Y2 * Y1)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1, Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1, (Y2 * Y1 * Y2 * R * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 16, 112)(7, 103, 19, 115)(8, 104, 21, 117)(10, 106, 26, 122)(11, 107, 28, 124)(13, 109, 22, 118)(15, 111, 20, 116)(17, 113, 39, 135)(18, 114, 41, 137)(23, 119, 49, 145)(24, 120, 47, 143)(25, 121, 43, 139)(27, 123, 53, 149)(29, 125, 52, 148)(30, 126, 38, 134)(31, 127, 62, 158)(32, 128, 63, 159)(33, 129, 64, 160)(34, 130, 37, 133)(35, 131, 66, 162)(36, 132, 67, 163)(40, 136, 71, 167)(42, 138, 70, 166)(44, 140, 80, 176)(45, 141, 81, 177)(46, 142, 82, 178)(48, 144, 84, 180)(50, 146, 72, 168)(51, 147, 86, 182)(54, 150, 68, 164)(55, 151, 77, 173)(56, 152, 74, 170)(57, 153, 89, 185)(58, 154, 85, 181)(59, 155, 73, 169)(60, 156, 78, 174)(61, 157, 83, 179)(65, 161, 79, 175)(69, 165, 92, 188)(75, 171, 95, 191)(76, 172, 91, 187)(87, 183, 93, 189)(88, 184, 96, 192)(90, 186, 94, 190)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 210, 306)(200, 296, 209, 305)(201, 297, 215, 311)(204, 300, 222, 318)(205, 301, 221, 317)(206, 302, 226, 322)(207, 303, 219, 315)(208, 304, 228, 324)(211, 307, 235, 331)(212, 308, 234, 330)(213, 309, 239, 335)(214, 310, 232, 328)(216, 312, 243, 339)(217, 313, 242, 338)(218, 314, 246, 342)(220, 316, 250, 346)(223, 319, 253, 349)(224, 320, 252, 348)(225, 321, 249, 345)(227, 323, 257, 353)(229, 325, 261, 357)(230, 326, 260, 356)(231, 327, 264, 360)(233, 329, 268, 364)(236, 332, 271, 367)(237, 333, 270, 366)(238, 334, 267, 363)(240, 336, 275, 371)(241, 337, 263, 359)(244, 340, 279, 375)(245, 341, 259, 355)(247, 343, 273, 369)(248, 344, 276, 372)(251, 347, 272, 368)(254, 350, 269, 365)(255, 351, 265, 361)(256, 352, 282, 378)(258, 354, 266, 362)(262, 358, 285, 381)(274, 370, 288, 384)(277, 373, 286, 382)(278, 374, 287, 383)(280, 376, 283, 379)(281, 377, 284, 380)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 209)(7, 212)(8, 194)(9, 216)(10, 219)(11, 195)(12, 223)(13, 225)(14, 227)(15, 197)(16, 229)(17, 232)(18, 198)(19, 236)(20, 238)(21, 240)(22, 200)(23, 242)(24, 244)(25, 201)(26, 247)(27, 249)(28, 251)(29, 203)(30, 252)(31, 206)(32, 204)(33, 207)(34, 253)(35, 256)(36, 260)(37, 262)(38, 208)(39, 265)(40, 267)(41, 269)(42, 210)(43, 270)(44, 213)(45, 211)(46, 214)(47, 271)(48, 274)(49, 277)(50, 259)(51, 215)(52, 280)(53, 217)(54, 276)(55, 220)(56, 218)(57, 221)(58, 273)(59, 281)(60, 282)(61, 222)(62, 268)(63, 264)(64, 224)(65, 226)(66, 278)(67, 283)(68, 241)(69, 228)(70, 286)(71, 230)(72, 258)(73, 233)(74, 231)(75, 234)(76, 255)(77, 287)(78, 288)(79, 235)(80, 250)(81, 246)(82, 237)(83, 239)(84, 284)(85, 285)(86, 254)(87, 243)(88, 245)(89, 248)(90, 257)(91, 279)(92, 272)(93, 261)(94, 263)(95, 266)(96, 275)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1789
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1780 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1331>$ (small group id <192, 1331>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * R * Y1 * Y3^-2 * Y1 * Y2 * R, Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-2 * Y2 * Y1, (Y3^-1 * Y2 * Y1 * Y3^-1 * Y1)^2, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 16, 112)(7, 103, 19, 115)(8, 104, 21, 117)(10, 106, 26, 122)(11, 107, 28, 124)(13, 109, 22, 118)(15, 111, 20, 116)(17, 113, 39, 135)(18, 114, 41, 137)(23, 119, 45, 141)(24, 120, 37, 133)(25, 121, 52, 148)(27, 123, 53, 149)(29, 125, 51, 147)(30, 126, 60, 156)(31, 127, 63, 159)(32, 128, 36, 132)(33, 129, 64, 160)(34, 130, 47, 143)(35, 131, 66, 162)(38, 134, 70, 166)(40, 136, 71, 167)(42, 138, 69, 165)(43, 139, 78, 174)(44, 140, 81, 177)(46, 142, 82, 178)(48, 144, 84, 180)(49, 145, 72, 168)(50, 146, 85, 181)(54, 150, 67, 163)(55, 151, 80, 176)(56, 152, 79, 175)(57, 153, 89, 185)(58, 154, 86, 182)(59, 155, 83, 179)(61, 157, 74, 170)(62, 158, 73, 169)(65, 161, 77, 173)(68, 164, 91, 187)(75, 171, 95, 191)(76, 172, 92, 188)(87, 183, 94, 190)(88, 184, 93, 189)(90, 186, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 210, 306)(200, 296, 209, 305)(201, 297, 215, 311)(204, 300, 222, 318)(205, 301, 221, 317)(206, 302, 226, 322)(207, 303, 219, 315)(208, 304, 228, 324)(211, 307, 235, 331)(212, 308, 234, 330)(213, 309, 239, 335)(214, 310, 232, 328)(216, 312, 242, 338)(217, 313, 241, 337)(218, 314, 246, 342)(220, 316, 250, 346)(223, 319, 254, 350)(224, 320, 253, 349)(225, 321, 249, 345)(227, 323, 257, 353)(229, 325, 260, 356)(230, 326, 259, 355)(231, 327, 264, 360)(233, 329, 268, 364)(236, 332, 272, 368)(237, 333, 271, 367)(238, 334, 267, 363)(240, 336, 275, 371)(243, 339, 273, 369)(244, 340, 278, 374)(245, 341, 276, 372)(247, 343, 280, 376)(248, 344, 279, 375)(251, 347, 282, 378)(252, 348, 274, 370)(255, 351, 261, 357)(256, 352, 270, 366)(258, 354, 263, 359)(262, 358, 284, 380)(265, 361, 286, 382)(266, 362, 285, 381)(269, 365, 288, 384)(277, 373, 287, 383)(281, 377, 283, 379)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 209)(7, 212)(8, 194)(9, 216)(10, 219)(11, 195)(12, 223)(13, 225)(14, 227)(15, 197)(16, 229)(17, 232)(18, 198)(19, 236)(20, 238)(21, 240)(22, 200)(23, 241)(24, 243)(25, 201)(26, 247)(27, 249)(28, 251)(29, 203)(30, 253)(31, 206)(32, 204)(33, 207)(34, 254)(35, 256)(36, 259)(37, 261)(38, 208)(39, 265)(40, 267)(41, 269)(42, 210)(43, 271)(44, 213)(45, 211)(46, 214)(47, 272)(48, 274)(49, 276)(50, 215)(51, 262)(52, 263)(53, 217)(54, 279)(55, 220)(56, 218)(57, 221)(58, 280)(59, 281)(60, 275)(61, 270)(62, 222)(63, 260)(64, 224)(65, 226)(66, 278)(67, 258)(68, 228)(69, 244)(70, 245)(71, 230)(72, 285)(73, 233)(74, 231)(75, 234)(76, 286)(77, 287)(78, 257)(79, 252)(80, 235)(81, 242)(82, 237)(83, 239)(84, 284)(85, 288)(86, 255)(87, 283)(88, 246)(89, 248)(90, 250)(91, 282)(92, 273)(93, 277)(94, 264)(95, 266)(96, 268)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1788
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1781 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1333>$ (small group id <192, 1333>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y3^2)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1)^2, (Y3 * Y1 * Y2 * Y1)^2, (Y3 * Y1 * Y3^-1 * Y2)^2, (Y3^-1 * Y1 * Y2 * Y1)^2, R * Y3^-2 * Y1 * R * Y2 * Y1 * Y2 * Y3^2, (Y2 * Y1 * Y2 * R * Y1)^2, R * Y3^-1 * Y2 * R * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2, Y3 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 16, 112)(7, 103, 19, 115)(8, 104, 21, 117)(10, 106, 26, 122)(11, 107, 28, 124)(13, 109, 22, 118)(15, 111, 20, 116)(17, 113, 40, 136)(18, 114, 42, 138)(23, 119, 51, 147)(24, 120, 48, 144)(25, 121, 44, 140)(27, 123, 41, 137)(29, 125, 53, 149)(30, 126, 39, 135)(31, 127, 61, 157)(32, 128, 62, 158)(33, 129, 54, 150)(34, 130, 38, 134)(35, 131, 64, 160)(36, 132, 65, 161)(37, 133, 66, 162)(43, 139, 68, 164)(45, 141, 76, 172)(46, 142, 77, 173)(47, 143, 69, 165)(49, 145, 79, 175)(50, 146, 80, 176)(52, 148, 83, 179)(55, 151, 73, 169)(56, 152, 86, 182)(57, 153, 82, 178)(58, 154, 70, 166)(59, 155, 87, 183)(60, 156, 78, 174)(63, 159, 75, 171)(67, 163, 91, 187)(71, 167, 94, 190)(72, 168, 90, 186)(74, 170, 95, 191)(81, 177, 89, 185)(84, 180, 92, 188)(85, 181, 96, 192)(88, 184, 93, 189)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 210, 306)(200, 296, 209, 305)(201, 297, 215, 311)(204, 300, 222, 318)(205, 301, 221, 317)(206, 302, 226, 322)(207, 303, 219, 315)(208, 304, 229, 325)(211, 307, 236, 332)(212, 308, 235, 331)(213, 309, 240, 336)(214, 310, 233, 329)(216, 312, 244, 340)(217, 313, 242, 338)(218, 314, 246, 342)(220, 316, 249, 345)(223, 319, 252, 348)(224, 320, 248, 344)(225, 321, 251, 347)(227, 323, 255, 351)(228, 324, 231, 327)(230, 326, 259, 355)(232, 328, 261, 357)(234, 330, 264, 360)(237, 333, 267, 363)(238, 334, 263, 359)(239, 335, 266, 362)(241, 337, 270, 366)(243, 339, 273, 369)(245, 341, 276, 372)(247, 343, 269, 365)(250, 346, 268, 364)(253, 349, 265, 361)(254, 350, 262, 358)(256, 352, 278, 374)(257, 353, 280, 376)(258, 354, 281, 377)(260, 356, 284, 380)(271, 367, 286, 382)(272, 368, 288, 384)(274, 370, 285, 381)(275, 371, 287, 383)(277, 373, 282, 378)(279, 375, 283, 379)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 209)(7, 212)(8, 194)(9, 216)(10, 219)(11, 195)(12, 223)(13, 225)(14, 227)(15, 197)(16, 230)(17, 233)(18, 198)(19, 237)(20, 239)(21, 241)(22, 200)(23, 242)(24, 245)(25, 201)(26, 247)(27, 231)(28, 250)(29, 203)(30, 248)(31, 206)(32, 204)(33, 243)(34, 252)(35, 257)(36, 207)(37, 228)(38, 260)(39, 208)(40, 262)(41, 217)(42, 265)(43, 210)(44, 263)(45, 213)(46, 211)(47, 258)(48, 267)(49, 272)(50, 214)(51, 274)(52, 215)(53, 277)(54, 224)(55, 220)(56, 218)(57, 269)(58, 279)(59, 221)(60, 222)(61, 264)(62, 261)(63, 226)(64, 275)(65, 271)(66, 282)(67, 229)(68, 285)(69, 238)(70, 234)(71, 232)(72, 254)(73, 287)(74, 235)(75, 236)(76, 249)(77, 246)(78, 240)(79, 283)(80, 256)(81, 251)(82, 284)(83, 253)(84, 244)(85, 281)(86, 288)(87, 286)(88, 255)(89, 266)(90, 276)(91, 268)(92, 259)(93, 273)(94, 280)(95, 278)(96, 270)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1790
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1782 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 1313>$ (small group id <192, 1313>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, Y1^-2 * Y2 * Y1^2 * Y2, Y1^8, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 30, 126, 29, 125, 14, 110, 5, 101)(3, 99, 9, 105, 16, 112, 33, 129, 50, 146, 45, 141, 25, 121, 11, 107)(4, 100, 12, 108, 26, 122, 46, 142, 51, 147, 32, 128, 17, 113, 8, 104)(7, 103, 18, 114, 31, 127, 52, 148, 49, 145, 28, 124, 13, 109, 20, 116)(10, 106, 23, 119, 42, 138, 65, 161, 72, 168, 55, 151, 34, 130, 22, 118)(19, 115, 37, 133, 27, 123, 47, 143, 69, 165, 74, 170, 53, 149, 36, 132)(21, 117, 39, 135, 54, 150, 75, 171, 68, 164, 44, 140, 24, 120, 41, 137)(35, 131, 56, 152, 73, 169, 71, 167, 48, 144, 60, 156, 38, 134, 58, 154)(40, 136, 63, 159, 43, 139, 66, 162, 85, 181, 91, 187, 76, 172, 62, 158)(57, 153, 79, 175, 59, 155, 81, 177, 70, 166, 88, 184, 89, 185, 78, 174)(61, 157, 77, 173, 90, 186, 87, 183, 67, 163, 82, 178, 64, 160, 80, 176)(83, 179, 93, 189, 84, 180, 94, 190, 86, 182, 95, 191, 96, 192, 92, 188)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 213, 309)(203, 299, 216, 312)(204, 300, 219, 315)(206, 302, 217, 313)(207, 303, 223, 319)(209, 305, 226, 322)(210, 306, 227, 323)(212, 308, 230, 326)(214, 310, 232, 328)(215, 311, 235, 331)(218, 314, 234, 330)(220, 316, 240, 336)(221, 317, 241, 337)(222, 318, 242, 338)(224, 320, 245, 341)(225, 321, 246, 342)(228, 324, 249, 345)(229, 325, 251, 347)(231, 327, 253, 349)(233, 329, 256, 352)(236, 332, 259, 355)(237, 333, 260, 356)(238, 334, 261, 357)(239, 335, 262, 358)(243, 339, 264, 360)(244, 340, 265, 361)(247, 343, 268, 364)(248, 344, 269, 365)(250, 346, 272, 368)(252, 348, 274, 370)(254, 350, 275, 371)(255, 351, 276, 372)(257, 353, 277, 373)(258, 354, 278, 374)(263, 359, 279, 375)(266, 362, 281, 377)(267, 363, 282, 378)(270, 366, 284, 380)(271, 367, 285, 381)(273, 369, 286, 382)(280, 376, 287, 383)(283, 379, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 214)(10, 195)(11, 215)(12, 197)(13, 219)(14, 218)(15, 224)(16, 226)(17, 198)(18, 228)(19, 199)(20, 229)(21, 232)(22, 201)(23, 203)(24, 235)(25, 234)(26, 206)(27, 205)(28, 239)(29, 238)(30, 243)(31, 245)(32, 207)(33, 247)(34, 208)(35, 249)(36, 210)(37, 212)(38, 251)(39, 254)(40, 213)(41, 255)(42, 217)(43, 216)(44, 258)(45, 257)(46, 221)(47, 220)(48, 262)(49, 261)(50, 264)(51, 222)(52, 266)(53, 223)(54, 268)(55, 225)(56, 270)(57, 227)(58, 271)(59, 230)(60, 273)(61, 275)(62, 231)(63, 233)(64, 276)(65, 237)(66, 236)(67, 278)(68, 277)(69, 241)(70, 240)(71, 280)(72, 242)(73, 281)(74, 244)(75, 283)(76, 246)(77, 284)(78, 248)(79, 250)(80, 285)(81, 252)(82, 286)(83, 253)(84, 256)(85, 260)(86, 259)(87, 287)(88, 263)(89, 265)(90, 288)(91, 267)(92, 269)(93, 272)(94, 274)(95, 279)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1775
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1783 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 1313>$ (small group id <192, 1313>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^8, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 30, 126, 29, 125, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 39, 135, 50, 146, 34, 130, 16, 112, 11, 107)(4, 100, 12, 108, 26, 122, 46, 142, 51, 147, 32, 128, 17, 113, 8, 104)(7, 103, 18, 114, 13, 109, 28, 124, 48, 144, 53, 149, 31, 127, 20, 116)(10, 106, 24, 120, 33, 129, 54, 150, 72, 168, 62, 158, 40, 136, 23, 119)(19, 115, 37, 133, 52, 148, 73, 169, 69, 165, 47, 143, 27, 123, 36, 132)(22, 118, 41, 137, 25, 121, 45, 141, 55, 151, 76, 172, 61, 157, 43, 139)(35, 131, 56, 152, 38, 134, 60, 156, 74, 170, 71, 167, 49, 145, 58, 154)(42, 138, 65, 161, 83, 179, 90, 186, 75, 171, 67, 163, 44, 140, 64, 160)(57, 153, 79, 175, 70, 166, 88, 184, 89, 185, 81, 177, 59, 155, 78, 174)(63, 159, 80, 176, 66, 162, 86, 182, 91, 187, 82, 178, 68, 164, 77, 173)(84, 180, 92, 188, 87, 183, 94, 190, 96, 192, 95, 191, 85, 181, 93, 189)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 219, 315)(206, 302, 213, 309)(207, 303, 223, 319)(209, 305, 225, 321)(210, 306, 227, 323)(212, 308, 230, 326)(215, 311, 234, 330)(216, 312, 236, 332)(218, 314, 232, 328)(220, 316, 241, 337)(221, 317, 240, 336)(222, 318, 242, 338)(224, 320, 244, 340)(226, 322, 247, 343)(228, 324, 249, 345)(229, 325, 251, 347)(231, 327, 253, 349)(233, 329, 255, 351)(235, 331, 258, 354)(237, 333, 260, 356)(238, 334, 261, 357)(239, 335, 262, 358)(243, 339, 264, 360)(245, 341, 266, 362)(246, 342, 267, 363)(248, 344, 269, 365)(250, 346, 272, 368)(252, 348, 274, 370)(254, 350, 275, 371)(256, 352, 276, 372)(257, 353, 277, 373)(259, 355, 279, 375)(263, 359, 278, 374)(265, 361, 281, 377)(268, 364, 283, 379)(270, 366, 284, 380)(271, 367, 285, 381)(273, 369, 286, 382)(280, 376, 287, 383)(282, 378, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 219)(14, 218)(15, 224)(16, 225)(17, 198)(18, 228)(19, 199)(20, 229)(21, 232)(22, 234)(23, 201)(24, 203)(25, 236)(26, 206)(27, 205)(28, 239)(29, 238)(30, 243)(31, 244)(32, 207)(33, 208)(34, 246)(35, 249)(36, 210)(37, 212)(38, 251)(39, 254)(40, 213)(41, 256)(42, 214)(43, 257)(44, 217)(45, 259)(46, 221)(47, 220)(48, 261)(49, 262)(50, 264)(51, 222)(52, 223)(53, 265)(54, 226)(55, 267)(56, 270)(57, 227)(58, 271)(59, 230)(60, 273)(61, 275)(62, 231)(63, 276)(64, 233)(65, 235)(66, 277)(67, 237)(68, 279)(69, 240)(70, 241)(71, 280)(72, 242)(73, 245)(74, 281)(75, 247)(76, 282)(77, 284)(78, 248)(79, 250)(80, 285)(81, 252)(82, 286)(83, 253)(84, 255)(85, 258)(86, 287)(87, 260)(88, 263)(89, 266)(90, 268)(91, 288)(92, 269)(93, 272)(94, 274)(95, 278)(96, 283)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1773
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1784 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 1313>$ (small group id <192, 1313>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y3^-2 * Y1^-1 * Y2, Y2 * Y1 * R * Y2 * R * Y1, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, Y3^6, Y3^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 21, 117, 44, 140, 43, 139, 19, 115, 5, 101)(3, 99, 11, 107, 31, 127, 57, 153, 68, 164, 49, 145, 22, 118, 13, 109)(4, 100, 15, 111, 37, 133, 63, 159, 69, 165, 47, 143, 23, 119, 10, 106)(6, 102, 18, 114, 42, 138, 67, 163, 70, 166, 46, 142, 24, 120, 9, 105)(8, 104, 25, 121, 17, 113, 41, 137, 66, 162, 72, 168, 45, 141, 27, 123)(12, 108, 35, 131, 48, 144, 76, 172, 86, 182, 81, 177, 58, 154, 34, 130)(14, 110, 28, 124, 50, 146, 73, 169, 87, 183, 80, 176, 59, 155, 33, 129)(16, 112, 30, 126, 51, 147, 75, 171, 88, 184, 85, 181, 64, 160, 39, 135)(20, 116, 29, 125, 52, 148, 74, 170, 89, 185, 79, 175, 61, 157, 32, 128)(26, 122, 54, 150, 71, 167, 90, 186, 84, 180, 65, 161, 38, 134, 53, 149)(36, 132, 62, 158, 82, 178, 94, 190, 95, 191, 91, 187, 77, 173, 55, 151)(40, 136, 60, 156, 83, 179, 93, 189, 96, 192, 92, 188, 78, 174, 56, 152)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 214, 310)(201, 297, 220, 316)(202, 298, 218, 314)(203, 299, 224, 320)(205, 301, 221, 317)(207, 303, 230, 326)(208, 304, 217, 313)(210, 306, 225, 321)(211, 307, 223, 319)(212, 308, 228, 324)(213, 309, 237, 333)(215, 311, 242, 338)(216, 312, 240, 336)(219, 315, 243, 339)(222, 318, 247, 343)(226, 322, 252, 348)(227, 323, 248, 344)(229, 325, 251, 347)(231, 327, 254, 350)(232, 328, 245, 341)(233, 329, 256, 352)(234, 330, 250, 346)(235, 331, 258, 354)(236, 332, 260, 356)(238, 334, 265, 361)(239, 335, 263, 359)(241, 337, 266, 362)(244, 340, 269, 365)(246, 342, 270, 366)(249, 345, 271, 367)(253, 349, 274, 370)(255, 351, 276, 372)(257, 353, 275, 371)(259, 355, 272, 368)(261, 357, 279, 375)(262, 358, 278, 374)(264, 360, 280, 376)(267, 363, 283, 379)(268, 364, 284, 380)(273, 369, 285, 381)(277, 373, 286, 382)(281, 377, 287, 383)(282, 378, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 225)(12, 228)(13, 220)(14, 195)(15, 197)(16, 232)(17, 230)(18, 224)(19, 229)(20, 198)(21, 238)(22, 240)(23, 243)(24, 199)(25, 206)(26, 247)(27, 242)(28, 200)(29, 248)(30, 202)(31, 250)(32, 252)(33, 209)(34, 203)(35, 205)(36, 245)(37, 256)(38, 254)(39, 207)(40, 212)(41, 251)(42, 211)(43, 259)(44, 261)(45, 263)(46, 266)(47, 213)(48, 269)(49, 265)(50, 214)(51, 270)(52, 216)(53, 217)(54, 219)(55, 227)(56, 222)(57, 272)(58, 274)(59, 223)(60, 231)(61, 234)(62, 226)(63, 235)(64, 275)(65, 233)(66, 276)(67, 271)(68, 278)(69, 280)(70, 236)(71, 283)(72, 279)(73, 237)(74, 284)(75, 239)(76, 241)(77, 246)(78, 244)(79, 285)(80, 258)(81, 249)(82, 257)(83, 253)(84, 286)(85, 255)(86, 287)(87, 260)(88, 288)(89, 262)(90, 264)(91, 268)(92, 267)(93, 277)(94, 273)(95, 282)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1774
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1785 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1328>$ (small group id <192, 1328>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y1 * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1)^2, (Y2 * Y1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 16, 112, 28, 124, 19, 115, 5, 101)(3, 99, 11, 107, 29, 125, 51, 147, 34, 130, 42, 138, 21, 117, 13, 109)(4, 100, 15, 111, 23, 119, 9, 105, 6, 102, 18, 114, 22, 118, 10, 106)(8, 104, 24, 120, 17, 113, 38, 134, 48, 144, 60, 156, 40, 136, 26, 122)(12, 108, 33, 129, 41, 137, 31, 127, 14, 110, 36, 132, 43, 139, 32, 128)(25, 121, 47, 143, 39, 135, 45, 141, 27, 123, 50, 146, 37, 133, 46, 142)(30, 126, 52, 148, 35, 131, 57, 153, 61, 157, 79, 175, 69, 165, 54, 150)(44, 140, 62, 158, 49, 145, 67, 163, 78, 174, 77, 173, 59, 155, 64, 160)(53, 149, 73, 169, 58, 154, 71, 167, 55, 151, 75, 171, 56, 152, 72, 168)(63, 159, 83, 179, 68, 164, 81, 177, 65, 161, 85, 181, 66, 162, 82, 178)(70, 166, 84, 180, 74, 170, 90, 186, 92, 188, 86, 182, 76, 172, 80, 176)(87, 183, 94, 190, 91, 187, 95, 191, 88, 184, 93, 189, 89, 185, 96, 192)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 222, 318)(205, 301, 227, 323)(207, 303, 229, 325)(208, 304, 226, 322)(210, 306, 231, 327)(211, 307, 221, 317)(212, 308, 232, 328)(214, 310, 235, 331)(215, 311, 233, 329)(216, 312, 236, 332)(218, 314, 241, 337)(220, 316, 240, 336)(223, 319, 247, 343)(224, 320, 245, 341)(225, 321, 248, 344)(228, 324, 250, 346)(230, 326, 251, 347)(234, 330, 253, 349)(237, 333, 257, 353)(238, 334, 255, 351)(239, 335, 258, 354)(242, 338, 260, 356)(243, 339, 261, 357)(244, 340, 262, 358)(246, 342, 266, 362)(249, 345, 268, 364)(252, 348, 270, 366)(254, 350, 272, 368)(256, 352, 276, 372)(259, 355, 278, 374)(263, 359, 280, 376)(264, 360, 279, 375)(265, 361, 281, 377)(267, 363, 283, 379)(269, 365, 282, 378)(271, 367, 284, 380)(273, 369, 286, 382)(274, 370, 285, 381)(275, 371, 287, 383)(277, 373, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 223)(12, 226)(13, 228)(14, 195)(15, 197)(16, 198)(17, 229)(18, 212)(19, 215)(20, 207)(21, 233)(22, 211)(23, 199)(24, 237)(25, 240)(26, 242)(27, 200)(28, 202)(29, 235)(30, 245)(31, 234)(32, 203)(33, 205)(34, 206)(35, 248)(36, 243)(37, 232)(38, 239)(39, 209)(40, 231)(41, 221)(42, 224)(43, 213)(44, 255)(45, 252)(46, 216)(47, 218)(48, 219)(49, 258)(50, 230)(51, 225)(52, 263)(53, 253)(54, 267)(55, 222)(56, 261)(57, 265)(58, 227)(59, 260)(60, 238)(61, 247)(62, 273)(63, 270)(64, 277)(65, 236)(66, 251)(67, 275)(68, 241)(69, 250)(70, 279)(71, 271)(72, 244)(73, 246)(74, 281)(75, 249)(76, 283)(77, 274)(78, 257)(79, 264)(80, 285)(81, 269)(82, 254)(83, 256)(84, 287)(85, 259)(86, 288)(87, 284)(88, 262)(89, 268)(90, 286)(91, 266)(92, 280)(93, 282)(94, 272)(95, 278)(96, 276)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1776
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1786 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C8 x S3) : C2 (small group id <96, 126>)
Aut   = $<192, 1328>$ (small group id <192, 1328>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y1 * Y3)^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y1^-4, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 16, 112, 28, 124, 19, 115, 5, 101)(3, 99, 11, 107, 29, 125, 51, 147, 34, 130, 42, 138, 21, 117, 13, 109)(4, 100, 15, 111, 23, 119, 9, 105, 6, 102, 18, 114, 22, 118, 10, 106)(8, 104, 24, 120, 17, 113, 38, 134, 48, 144, 60, 156, 40, 136, 26, 122)(12, 108, 33, 129, 41, 137, 31, 127, 14, 110, 36, 132, 43, 139, 32, 128)(25, 121, 47, 143, 39, 135, 45, 141, 27, 123, 50, 146, 37, 133, 46, 142)(30, 126, 52, 148, 35, 131, 57, 153, 61, 157, 79, 175, 69, 165, 54, 150)(44, 140, 62, 158, 49, 145, 67, 163, 78, 174, 77, 173, 59, 155, 64, 160)(53, 149, 73, 169, 58, 154, 71, 167, 55, 151, 75, 171, 56, 152, 72, 168)(63, 159, 83, 179, 68, 164, 81, 177, 65, 161, 85, 181, 66, 162, 82, 178)(70, 166, 86, 182, 74, 170, 80, 176, 92, 188, 84, 180, 76, 172, 88, 184)(87, 183, 93, 189, 91, 187, 96, 192, 89, 185, 94, 190, 90, 186, 95, 191)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 222, 318)(205, 301, 227, 323)(207, 303, 229, 325)(208, 304, 226, 322)(210, 306, 231, 327)(211, 307, 221, 317)(212, 308, 232, 328)(214, 310, 235, 331)(215, 311, 233, 329)(216, 312, 236, 332)(218, 314, 241, 337)(220, 316, 240, 336)(223, 319, 247, 343)(224, 320, 245, 341)(225, 321, 248, 344)(228, 324, 250, 346)(230, 326, 251, 347)(234, 330, 253, 349)(237, 333, 257, 353)(238, 334, 255, 351)(239, 335, 258, 354)(242, 338, 260, 356)(243, 339, 261, 357)(244, 340, 262, 358)(246, 342, 266, 362)(249, 345, 268, 364)(252, 348, 270, 366)(254, 350, 272, 368)(256, 352, 276, 372)(259, 355, 278, 374)(263, 359, 281, 377)(264, 360, 279, 375)(265, 361, 282, 378)(267, 363, 283, 379)(269, 365, 280, 376)(271, 367, 284, 380)(273, 369, 286, 382)(274, 370, 285, 381)(275, 371, 287, 383)(277, 373, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 223)(12, 226)(13, 228)(14, 195)(15, 197)(16, 198)(17, 229)(18, 212)(19, 215)(20, 207)(21, 233)(22, 211)(23, 199)(24, 237)(25, 240)(26, 242)(27, 200)(28, 202)(29, 235)(30, 245)(31, 234)(32, 203)(33, 205)(34, 206)(35, 248)(36, 243)(37, 232)(38, 239)(39, 209)(40, 231)(41, 221)(42, 224)(43, 213)(44, 255)(45, 252)(46, 216)(47, 218)(48, 219)(49, 258)(50, 230)(51, 225)(52, 263)(53, 253)(54, 267)(55, 222)(56, 261)(57, 265)(58, 227)(59, 260)(60, 238)(61, 247)(62, 273)(63, 270)(64, 277)(65, 236)(66, 251)(67, 275)(68, 241)(69, 250)(70, 279)(71, 271)(72, 244)(73, 246)(74, 282)(75, 249)(76, 283)(77, 274)(78, 257)(79, 264)(80, 285)(81, 269)(82, 254)(83, 256)(84, 287)(85, 259)(86, 288)(87, 284)(88, 286)(89, 262)(90, 268)(91, 266)(92, 281)(93, 280)(94, 272)(95, 278)(96, 276)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1777
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1787 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C8 x S3) : C2 (small group id <96, 126>)
Aut   = $<192, 1328>$ (small group id <192, 1328>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-2 * Y1^-2, (Y3^-1, Y1^-1), (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y3^-2 * Y2 * Y1, Y3^8, Y1^8, Y1 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 18, 114, 35, 131, 32, 128, 15, 111, 5, 101)(3, 99, 11, 107, 25, 121, 45, 141, 56, 152, 39, 135, 19, 115, 13, 109)(4, 100, 9, 105, 6, 102, 10, 106, 20, 116, 37, 133, 31, 127, 16, 112)(8, 104, 21, 117, 17, 113, 34, 130, 53, 149, 58, 154, 36, 132, 23, 119)(12, 108, 27, 123, 14, 110, 28, 124, 46, 142, 59, 155, 38, 134, 29, 125)(22, 118, 41, 137, 24, 120, 42, 138, 33, 129, 54, 150, 57, 153, 43, 139)(26, 122, 47, 143, 30, 126, 52, 148, 60, 156, 79, 175, 67, 163, 49, 145)(40, 136, 61, 157, 44, 140, 66, 162, 77, 173, 76, 172, 55, 151, 63, 159)(48, 144, 69, 165, 50, 146, 70, 166, 51, 147, 73, 169, 78, 174, 71, 167)(62, 158, 81, 177, 64, 160, 82, 178, 65, 161, 85, 181, 75, 171, 83, 179)(68, 164, 86, 182, 72, 168, 80, 176, 92, 188, 84, 180, 74, 170, 88, 184)(87, 183, 96, 192, 89, 185, 93, 189, 90, 186, 94, 190, 91, 187, 95, 191)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 211, 307)(201, 297, 216, 312)(202, 298, 214, 310)(203, 299, 218, 314)(205, 301, 222, 318)(207, 303, 217, 313)(208, 304, 225, 321)(210, 306, 228, 324)(212, 308, 230, 326)(213, 309, 232, 328)(215, 311, 236, 332)(219, 315, 242, 338)(220, 316, 240, 336)(221, 317, 243, 339)(223, 319, 238, 334)(224, 320, 245, 341)(226, 322, 247, 343)(227, 323, 248, 344)(229, 325, 249, 345)(231, 327, 252, 348)(233, 329, 256, 352)(234, 330, 254, 350)(235, 331, 257, 353)(237, 333, 259, 355)(239, 335, 260, 356)(241, 337, 264, 360)(244, 340, 266, 362)(246, 342, 267, 363)(250, 346, 269, 365)(251, 347, 270, 366)(253, 349, 272, 368)(255, 351, 276, 372)(258, 354, 278, 374)(261, 357, 281, 377)(262, 358, 279, 375)(263, 359, 282, 378)(265, 361, 283, 379)(268, 364, 280, 376)(271, 367, 284, 380)(273, 369, 286, 382)(274, 370, 285, 381)(275, 371, 287, 383)(277, 373, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 207)(5, 208)(6, 193)(7, 198)(8, 214)(9, 197)(10, 194)(11, 219)(12, 211)(13, 221)(14, 195)(15, 223)(16, 224)(17, 216)(18, 202)(19, 230)(20, 199)(21, 233)(22, 228)(23, 235)(24, 200)(25, 206)(26, 240)(27, 205)(28, 203)(29, 231)(30, 242)(31, 227)(32, 229)(33, 209)(34, 234)(35, 212)(36, 249)(37, 210)(38, 248)(39, 251)(40, 254)(41, 215)(42, 213)(43, 250)(44, 256)(45, 220)(46, 217)(47, 261)(48, 259)(49, 263)(50, 218)(51, 222)(52, 262)(53, 225)(54, 226)(55, 267)(56, 238)(57, 245)(58, 246)(59, 237)(60, 243)(61, 273)(62, 247)(63, 275)(64, 232)(65, 236)(66, 274)(67, 270)(68, 279)(69, 241)(70, 239)(71, 271)(72, 281)(73, 244)(74, 283)(75, 269)(76, 277)(77, 257)(78, 252)(79, 265)(80, 285)(81, 255)(82, 253)(83, 268)(84, 286)(85, 258)(86, 288)(87, 266)(88, 287)(89, 260)(90, 264)(91, 284)(92, 282)(93, 278)(94, 272)(95, 276)(96, 280)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1778
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1788 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1331>$ (small group id <192, 1331>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y3^4, (Y3^-1 * Y1^-1)^2, Y1 * Y3^-1 * Y1^-3 * Y3, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y3^-2 * Y1^-4, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 16, 112, 28, 124, 19, 115, 5, 101)(3, 99, 11, 107, 21, 117, 41, 137, 33, 129, 55, 151, 36, 132, 13, 109)(4, 100, 15, 111, 23, 119, 9, 105, 6, 102, 18, 114, 22, 118, 10, 106)(8, 104, 24, 120, 40, 136, 60, 156, 48, 144, 38, 134, 17, 113, 26, 122)(12, 108, 32, 128, 43, 139, 30, 126, 14, 110, 35, 131, 42, 138, 31, 127)(25, 121, 47, 143, 37, 133, 45, 141, 27, 123, 50, 146, 39, 135, 46, 142)(29, 125, 51, 147, 61, 157, 79, 175, 73, 169, 57, 153, 34, 130, 53, 149)(44, 140, 62, 158, 78, 174, 77, 173, 59, 155, 67, 163, 49, 145, 64, 160)(52, 148, 72, 168, 56, 152, 70, 166, 54, 150, 75, 171, 58, 154, 71, 167)(63, 159, 83, 179, 66, 162, 81, 177, 65, 161, 85, 181, 68, 164, 82, 178)(69, 165, 86, 182, 92, 188, 84, 180, 76, 172, 80, 176, 74, 170, 88, 184)(87, 183, 95, 191, 90, 186, 94, 190, 89, 185, 96, 192, 91, 187, 93, 189)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 221, 317)(205, 301, 226, 322)(207, 303, 229, 325)(208, 304, 225, 321)(210, 306, 231, 327)(211, 307, 228, 324)(212, 308, 232, 328)(214, 310, 235, 331)(215, 311, 234, 330)(216, 312, 236, 332)(218, 314, 241, 337)(220, 316, 240, 336)(222, 318, 246, 342)(223, 319, 244, 340)(224, 320, 248, 344)(227, 323, 250, 346)(230, 326, 251, 347)(233, 329, 253, 349)(237, 333, 257, 353)(238, 334, 255, 351)(239, 335, 258, 354)(242, 338, 260, 356)(243, 339, 261, 357)(245, 341, 266, 362)(247, 343, 265, 361)(249, 345, 268, 364)(252, 348, 270, 366)(254, 350, 272, 368)(256, 352, 276, 372)(259, 355, 278, 374)(262, 358, 281, 377)(263, 359, 279, 375)(264, 360, 282, 378)(267, 363, 283, 379)(269, 365, 280, 376)(271, 367, 284, 380)(273, 369, 286, 382)(274, 370, 285, 381)(275, 371, 287, 383)(277, 373, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 222)(12, 225)(13, 227)(14, 195)(15, 197)(16, 198)(17, 229)(18, 212)(19, 215)(20, 207)(21, 234)(22, 211)(23, 199)(24, 237)(25, 240)(26, 242)(27, 200)(28, 202)(29, 244)(30, 247)(31, 203)(32, 205)(33, 206)(34, 248)(35, 233)(36, 235)(37, 232)(38, 238)(39, 209)(40, 231)(41, 224)(42, 228)(43, 213)(44, 255)(45, 230)(46, 216)(47, 218)(48, 219)(49, 258)(50, 252)(51, 262)(52, 265)(53, 267)(54, 221)(55, 223)(56, 253)(57, 263)(58, 226)(59, 257)(60, 239)(61, 250)(62, 273)(63, 251)(64, 277)(65, 236)(66, 270)(67, 274)(68, 241)(69, 279)(70, 249)(71, 243)(72, 245)(73, 246)(74, 282)(75, 271)(76, 281)(77, 275)(78, 260)(79, 264)(80, 285)(81, 259)(82, 254)(83, 256)(84, 287)(85, 269)(86, 286)(87, 268)(88, 288)(89, 261)(90, 284)(91, 266)(92, 283)(93, 278)(94, 272)(95, 280)(96, 276)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1780
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1789 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1331>$ (small group id <192, 1331>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^2 * Y3 * Y1^2, Y3^2 * Y2 * R * Y2 * R, (Y1 * Y2 * Y1)^2, Y3^6, Y1 * Y2 * Y1^-1 * R * Y2 * Y1^-1 * R * Y1, Y3^-1 * Y1^3 * Y3 * Y2 * Y1 * Y2, Y1^8, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 21, 117, 49, 145, 48, 144, 19, 115, 5, 101)(3, 99, 11, 107, 31, 127, 65, 161, 81, 177, 54, 150, 22, 118, 13, 109)(4, 100, 15, 111, 40, 136, 77, 173, 82, 178, 52, 148, 23, 119, 10, 106)(6, 102, 18, 114, 46, 142, 75, 171, 83, 179, 51, 147, 24, 120, 9, 105)(8, 104, 25, 121, 17, 113, 44, 140, 76, 172, 39, 135, 50, 146, 27, 123)(12, 108, 35, 131, 53, 149, 86, 182, 96, 192, 94, 190, 67, 163, 34, 130)(14, 110, 38, 134, 55, 151, 45, 141, 59, 155, 28, 124, 64, 160, 33, 129)(16, 112, 30, 126, 56, 152, 85, 181, 58, 154, 89, 185, 63, 159, 42, 138)(20, 116, 29, 125, 57, 153, 32, 128, 68, 164, 37, 133, 74, 170, 47, 143)(26, 122, 61, 157, 84, 180, 73, 169, 95, 191, 79, 175, 41, 137, 60, 156)(36, 132, 70, 166, 93, 189, 62, 158, 91, 187, 78, 174, 87, 183, 72, 168)(43, 139, 80, 176, 92, 188, 71, 167, 90, 186, 69, 165, 88, 184, 66, 162)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 214, 310)(201, 297, 220, 316)(202, 298, 218, 314)(203, 299, 224, 320)(205, 301, 229, 325)(207, 303, 233, 329)(208, 304, 231, 327)(210, 306, 237, 333)(211, 307, 223, 319)(212, 308, 228, 324)(213, 309, 242, 338)(215, 311, 247, 343)(216, 312, 245, 341)(217, 313, 250, 346)(219, 315, 255, 351)(221, 317, 257, 353)(222, 318, 254, 350)(225, 321, 243, 339)(226, 322, 261, 357)(227, 323, 263, 359)(230, 326, 267, 363)(232, 328, 256, 352)(234, 330, 270, 366)(235, 331, 265, 361)(236, 332, 248, 344)(238, 334, 259, 355)(239, 335, 246, 342)(240, 336, 268, 364)(241, 337, 273, 369)(244, 340, 276, 372)(249, 345, 279, 375)(251, 347, 274, 370)(252, 348, 282, 378)(253, 349, 284, 380)(258, 354, 286, 382)(260, 356, 283, 379)(262, 358, 277, 373)(264, 360, 281, 377)(266, 362, 285, 381)(269, 365, 287, 383)(271, 367, 280, 376)(272, 368, 278, 374)(275, 371, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 225)(12, 228)(13, 230)(14, 195)(15, 197)(16, 235)(17, 233)(18, 239)(19, 232)(20, 198)(21, 243)(22, 245)(23, 248)(24, 199)(25, 251)(26, 254)(27, 256)(28, 200)(29, 258)(30, 202)(31, 259)(32, 261)(33, 242)(34, 203)(35, 205)(36, 265)(37, 263)(38, 268)(39, 206)(40, 255)(41, 270)(42, 207)(43, 212)(44, 247)(45, 209)(46, 211)(47, 272)(48, 267)(49, 274)(50, 276)(51, 224)(52, 213)(53, 279)(54, 237)(55, 214)(56, 280)(57, 216)(58, 282)(59, 273)(60, 217)(61, 219)(62, 286)(63, 284)(64, 223)(65, 220)(66, 222)(67, 285)(68, 275)(69, 277)(70, 226)(71, 281)(72, 227)(73, 231)(74, 238)(75, 229)(76, 287)(77, 240)(78, 278)(79, 236)(80, 234)(81, 288)(82, 250)(83, 241)(84, 262)(85, 244)(86, 246)(87, 271)(88, 249)(89, 269)(90, 260)(91, 252)(92, 266)(93, 253)(94, 257)(95, 264)(96, 283)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1779
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1790 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1333>$ (small group id <192, 1333>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^-1 * Y3^2 * Y1^-1, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 19, 115, 38, 134, 35, 131, 18, 114, 5, 101)(3, 99, 11, 107, 27, 123, 49, 145, 59, 155, 40, 136, 20, 116, 13, 109)(4, 100, 15, 111, 21, 117, 10, 106, 26, 122, 9, 105, 6, 102, 16, 112)(8, 104, 22, 118, 17, 113, 37, 133, 57, 153, 60, 156, 39, 135, 24, 120)(12, 108, 31, 127, 48, 144, 30, 126, 41, 137, 29, 125, 14, 110, 32, 128)(23, 119, 45, 141, 34, 130, 44, 140, 36, 132, 43, 139, 25, 121, 46, 142)(28, 124, 50, 146, 33, 129, 56, 152, 61, 157, 79, 175, 69, 165, 52, 148)(42, 138, 62, 158, 47, 143, 68, 164, 78, 174, 77, 173, 58, 154, 64, 160)(51, 147, 73, 169, 54, 150, 72, 168, 55, 151, 71, 167, 53, 149, 74, 170)(63, 159, 83, 179, 66, 162, 82, 178, 67, 163, 81, 177, 65, 161, 84, 180)(70, 166, 85, 181, 75, 171, 91, 187, 92, 188, 86, 182, 76, 172, 80, 176)(87, 183, 94, 190, 89, 185, 93, 189, 90, 186, 95, 191, 88, 184, 96, 192)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 212, 308)(201, 297, 217, 313)(202, 298, 215, 311)(203, 299, 220, 316)(205, 301, 225, 321)(207, 303, 226, 322)(208, 304, 228, 324)(210, 306, 219, 315)(211, 307, 231, 327)(213, 309, 233, 329)(214, 310, 234, 330)(216, 312, 239, 335)(218, 314, 240, 336)(221, 317, 245, 341)(222, 318, 243, 339)(223, 319, 246, 342)(224, 320, 247, 343)(227, 323, 249, 345)(229, 325, 250, 346)(230, 326, 251, 347)(232, 328, 253, 349)(235, 331, 257, 353)(236, 332, 255, 351)(237, 333, 258, 354)(238, 334, 259, 355)(241, 337, 261, 357)(242, 338, 262, 358)(244, 340, 267, 363)(248, 344, 268, 364)(252, 348, 270, 366)(254, 350, 272, 368)(256, 352, 277, 373)(260, 356, 278, 374)(263, 359, 280, 376)(264, 360, 279, 375)(265, 361, 281, 377)(266, 362, 282, 378)(269, 365, 283, 379)(271, 367, 284, 380)(273, 369, 286, 382)(274, 370, 285, 381)(275, 371, 287, 383)(276, 372, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 199)(5, 202)(6, 193)(7, 213)(8, 215)(9, 211)(10, 194)(11, 221)(12, 219)(13, 222)(14, 195)(15, 197)(16, 227)(17, 226)(18, 198)(19, 208)(20, 206)(21, 230)(22, 235)(23, 209)(24, 236)(25, 200)(26, 210)(27, 240)(28, 243)(29, 241)(30, 203)(31, 205)(32, 232)(33, 246)(34, 249)(35, 207)(36, 231)(37, 238)(38, 218)(39, 217)(40, 223)(41, 212)(42, 255)(43, 229)(44, 214)(45, 216)(46, 252)(47, 258)(48, 251)(49, 224)(50, 263)(51, 225)(52, 264)(53, 220)(54, 253)(55, 261)(56, 266)(57, 228)(58, 257)(59, 233)(60, 237)(61, 247)(62, 273)(63, 239)(64, 274)(65, 234)(66, 270)(67, 250)(68, 276)(69, 245)(70, 279)(71, 248)(72, 242)(73, 244)(74, 271)(75, 281)(76, 280)(77, 275)(78, 259)(79, 265)(80, 285)(81, 260)(82, 254)(83, 256)(84, 269)(85, 287)(86, 286)(87, 267)(88, 262)(89, 284)(90, 268)(91, 288)(92, 282)(93, 277)(94, 272)(95, 283)(96, 278)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1781
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1791 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1318>$ (small group id <192, 1318>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2 * Y1 * Y3)^2, Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 21, 117)(16, 112, 19, 115)(17, 113, 28, 124)(18, 114, 29, 125)(22, 118, 34, 130)(24, 120, 37, 133)(25, 121, 36, 132)(26, 122, 39, 135)(27, 123, 40, 136)(30, 126, 44, 140)(31, 127, 43, 139)(32, 128, 46, 142)(33, 129, 47, 143)(35, 131, 49, 145)(38, 134, 53, 149)(41, 137, 57, 153)(42, 138, 58, 154)(45, 141, 62, 158)(48, 144, 66, 162)(50, 146, 69, 165)(51, 147, 68, 164)(52, 148, 64, 160)(54, 150, 73, 169)(55, 151, 61, 157)(56, 152, 75, 171)(59, 155, 79, 175)(60, 156, 78, 174)(63, 159, 83, 179)(65, 161, 85, 181)(67, 163, 87, 183)(70, 166, 80, 176)(71, 167, 81, 177)(72, 168, 89, 185)(74, 170, 88, 184)(76, 172, 86, 182)(77, 173, 92, 188)(82, 178, 94, 190)(84, 180, 93, 189)(90, 186, 96, 192)(91, 187, 95, 191)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 217, 313)(209, 305, 219, 315)(211, 307, 222, 318)(212, 308, 223, 319)(214, 310, 225, 321)(215, 311, 227, 323)(218, 314, 230, 326)(220, 316, 231, 327)(221, 317, 234, 330)(224, 320, 237, 333)(226, 322, 238, 334)(228, 324, 242, 338)(229, 325, 243, 339)(232, 328, 247, 343)(233, 329, 246, 342)(235, 331, 251, 347)(236, 332, 252, 348)(239, 335, 256, 352)(240, 336, 255, 351)(241, 337, 259, 355)(244, 340, 262, 358)(245, 341, 263, 359)(248, 344, 266, 362)(249, 345, 267, 363)(250, 346, 269, 365)(253, 349, 272, 368)(254, 350, 273, 369)(257, 353, 276, 372)(258, 354, 277, 373)(260, 356, 280, 376)(261, 357, 274, 370)(264, 360, 271, 367)(265, 361, 281, 377)(268, 364, 283, 379)(270, 366, 285, 381)(275, 371, 286, 382)(278, 374, 288, 384)(279, 375, 287, 383)(282, 378, 284, 380)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 218)(16, 219)(17, 201)(18, 222)(19, 202)(20, 224)(21, 225)(22, 204)(23, 228)(24, 205)(25, 230)(26, 207)(27, 208)(28, 233)(29, 235)(30, 210)(31, 237)(32, 212)(33, 213)(34, 240)(35, 242)(36, 215)(37, 244)(38, 217)(39, 246)(40, 248)(41, 220)(42, 251)(43, 221)(44, 253)(45, 223)(46, 255)(47, 257)(48, 226)(49, 260)(50, 227)(51, 262)(52, 229)(53, 264)(54, 231)(55, 266)(56, 232)(57, 268)(58, 270)(59, 234)(60, 272)(61, 236)(62, 274)(63, 238)(64, 276)(65, 239)(66, 278)(67, 280)(68, 241)(69, 273)(70, 243)(71, 271)(72, 245)(73, 282)(74, 247)(75, 283)(76, 249)(77, 285)(78, 250)(79, 263)(80, 252)(81, 261)(82, 254)(83, 287)(84, 256)(85, 288)(86, 258)(87, 286)(88, 259)(89, 284)(90, 265)(91, 267)(92, 281)(93, 269)(94, 279)(95, 275)(96, 277)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1795
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1792 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1318>$ (small group id <192, 1318>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y1 * Y3 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 36, 132)(22, 118, 38, 134)(24, 120, 41, 137)(26, 122, 44, 140)(27, 123, 37, 133)(29, 125, 35, 131)(32, 128, 50, 146)(34, 130, 53, 149)(39, 135, 57, 153)(40, 136, 59, 155)(42, 138, 62, 158)(43, 139, 63, 159)(45, 141, 61, 157)(46, 142, 66, 162)(47, 143, 68, 164)(48, 144, 69, 165)(49, 145, 71, 167)(51, 147, 74, 170)(52, 148, 75, 171)(54, 150, 73, 169)(55, 151, 78, 174)(56, 152, 80, 176)(58, 154, 70, 166)(60, 156, 83, 179)(64, 160, 76, 172)(65, 161, 79, 175)(67, 163, 77, 173)(72, 168, 90, 186)(81, 177, 91, 187)(82, 178, 94, 190)(84, 180, 88, 184)(85, 181, 92, 188)(86, 182, 95, 191)(87, 183, 89, 185)(93, 189, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 224, 320)(212, 308, 226, 322)(214, 310, 229, 325)(215, 311, 231, 327)(217, 313, 234, 330)(219, 315, 237, 333)(220, 316, 238, 334)(222, 318, 235, 331)(223, 319, 240, 336)(225, 321, 243, 339)(227, 323, 246, 342)(228, 324, 247, 343)(230, 326, 244, 340)(232, 328, 250, 346)(233, 329, 252, 348)(236, 332, 256, 352)(239, 335, 259, 355)(241, 337, 262, 358)(242, 338, 264, 360)(245, 341, 268, 364)(248, 344, 271, 367)(249, 345, 265, 361)(251, 347, 273, 369)(253, 349, 261, 357)(254, 350, 276, 372)(255, 351, 274, 370)(257, 353, 278, 374)(258, 354, 275, 371)(260, 356, 277, 373)(263, 359, 280, 376)(266, 362, 283, 379)(267, 363, 281, 377)(269, 365, 285, 381)(270, 366, 282, 378)(272, 368, 284, 380)(279, 375, 287, 383)(286, 382, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 224)(19, 202)(20, 227)(21, 229)(22, 204)(23, 232)(24, 205)(25, 235)(26, 237)(27, 207)(28, 239)(29, 208)(30, 234)(31, 241)(32, 210)(33, 244)(34, 246)(35, 212)(36, 248)(37, 213)(38, 243)(39, 250)(40, 215)(41, 253)(42, 222)(43, 217)(44, 257)(45, 218)(46, 259)(47, 220)(48, 262)(49, 223)(50, 265)(51, 230)(52, 225)(53, 269)(54, 226)(55, 271)(56, 228)(57, 264)(58, 231)(59, 274)(60, 261)(61, 233)(62, 277)(63, 273)(64, 278)(65, 236)(66, 279)(67, 238)(68, 276)(69, 252)(70, 240)(71, 281)(72, 249)(73, 242)(74, 284)(75, 280)(76, 285)(77, 245)(78, 286)(79, 247)(80, 283)(81, 255)(82, 251)(83, 287)(84, 260)(85, 254)(86, 256)(87, 258)(88, 267)(89, 263)(90, 288)(91, 272)(92, 266)(93, 268)(94, 270)(95, 275)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1794
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1793 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C8 x S3) : C2 (small group id <96, 126>)
Aut   = $<192, 1336>$ (small group id <192, 1336>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1 * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3, Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 41, 137)(22, 118, 37, 133)(23, 119, 40, 136)(25, 121, 44, 140)(27, 123, 32, 128)(28, 124, 39, 135)(29, 125, 38, 134)(30, 126, 33, 129)(31, 127, 51, 147)(35, 131, 54, 150)(42, 138, 64, 160)(43, 139, 66, 162)(45, 141, 62, 158)(46, 142, 60, 156)(47, 143, 59, 155)(48, 144, 63, 159)(49, 145, 57, 153)(50, 146, 56, 152)(52, 148, 72, 168)(53, 149, 74, 170)(55, 151, 70, 166)(58, 154, 71, 167)(61, 157, 77, 173)(65, 161, 80, 176)(67, 163, 83, 179)(68, 164, 82, 178)(69, 165, 85, 181)(73, 169, 88, 184)(75, 171, 91, 187)(76, 172, 90, 186)(78, 174, 86, 182)(79, 175, 87, 183)(81, 177, 92, 188)(84, 180, 89, 185)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 235, 331)(215, 311, 234, 330)(216, 312, 237, 333)(218, 314, 240, 336)(220, 316, 242, 338)(221, 317, 241, 337)(224, 320, 245, 341)(225, 321, 244, 340)(226, 322, 247, 343)(228, 324, 250, 346)(230, 326, 252, 348)(231, 327, 251, 347)(233, 329, 253, 349)(236, 332, 257, 353)(238, 334, 260, 356)(239, 335, 259, 355)(243, 339, 261, 357)(246, 342, 265, 361)(248, 344, 268, 364)(249, 345, 267, 363)(254, 350, 271, 367)(255, 351, 270, 366)(256, 352, 273, 369)(258, 354, 276, 372)(262, 358, 279, 375)(263, 359, 278, 374)(264, 360, 281, 377)(266, 362, 284, 380)(269, 365, 283, 379)(272, 368, 285, 381)(274, 370, 286, 382)(275, 371, 277, 373)(280, 376, 287, 383)(282, 378, 288, 384)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 234)(22, 236)(23, 201)(24, 238)(25, 203)(26, 239)(27, 241)(28, 206)(29, 204)(30, 242)(31, 244)(32, 246)(33, 207)(34, 248)(35, 209)(36, 249)(37, 251)(38, 212)(39, 210)(40, 252)(41, 254)(42, 257)(43, 213)(44, 215)(45, 259)(46, 218)(47, 216)(48, 260)(49, 222)(50, 219)(51, 262)(52, 265)(53, 223)(54, 225)(55, 267)(56, 228)(57, 226)(58, 268)(59, 232)(60, 229)(61, 270)(62, 272)(63, 233)(64, 274)(65, 235)(66, 275)(67, 240)(68, 237)(69, 278)(70, 280)(71, 243)(72, 282)(73, 245)(74, 283)(75, 250)(76, 247)(77, 284)(78, 285)(79, 253)(80, 255)(81, 277)(82, 258)(83, 256)(84, 286)(85, 276)(86, 287)(87, 261)(88, 263)(89, 269)(90, 266)(91, 264)(92, 288)(93, 271)(94, 273)(95, 279)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1796
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1794 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1318>$ (small group id <192, 1318>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, Y1^-2 * Y2 * Y1^2 * Y2, Y1^8, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 30, 126, 29, 125, 14, 110, 5, 101)(3, 99, 9, 105, 16, 112, 33, 129, 50, 146, 45, 141, 25, 121, 11, 107)(4, 100, 12, 108, 26, 122, 46, 142, 51, 147, 32, 128, 17, 113, 8, 104)(7, 103, 18, 114, 31, 127, 52, 148, 49, 145, 28, 124, 13, 109, 20, 116)(10, 106, 23, 119, 42, 138, 65, 161, 72, 168, 55, 151, 34, 130, 22, 118)(19, 115, 37, 133, 27, 123, 47, 143, 69, 165, 74, 170, 53, 149, 36, 132)(21, 117, 39, 135, 54, 150, 75, 171, 68, 164, 44, 140, 24, 120, 41, 137)(35, 131, 56, 152, 73, 169, 71, 167, 48, 144, 60, 156, 38, 134, 58, 154)(40, 136, 63, 159, 43, 139, 66, 162, 86, 182, 91, 187, 76, 172, 62, 158)(57, 153, 79, 175, 59, 155, 81, 177, 70, 166, 88, 184, 89, 185, 78, 174)(61, 157, 82, 178, 90, 186, 80, 176, 67, 163, 77, 173, 64, 160, 84, 180)(83, 179, 95, 191, 85, 181, 92, 188, 87, 183, 93, 189, 96, 192, 94, 190)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 213, 309)(203, 299, 216, 312)(204, 300, 219, 315)(206, 302, 217, 313)(207, 303, 223, 319)(209, 305, 226, 322)(210, 306, 227, 323)(212, 308, 230, 326)(214, 310, 232, 328)(215, 311, 235, 331)(218, 314, 234, 330)(220, 316, 240, 336)(221, 317, 241, 337)(222, 318, 242, 338)(224, 320, 245, 341)(225, 321, 246, 342)(228, 324, 249, 345)(229, 325, 251, 347)(231, 327, 253, 349)(233, 329, 256, 352)(236, 332, 259, 355)(237, 333, 260, 356)(238, 334, 261, 357)(239, 335, 262, 358)(243, 339, 264, 360)(244, 340, 265, 361)(247, 343, 268, 364)(248, 344, 269, 365)(250, 346, 272, 368)(252, 348, 274, 370)(254, 350, 275, 371)(255, 351, 277, 373)(257, 353, 278, 374)(258, 354, 279, 375)(263, 359, 276, 372)(266, 362, 281, 377)(267, 363, 282, 378)(270, 366, 284, 380)(271, 367, 285, 381)(273, 369, 286, 382)(280, 376, 287, 383)(283, 379, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 214)(10, 195)(11, 215)(12, 197)(13, 219)(14, 218)(15, 224)(16, 226)(17, 198)(18, 228)(19, 199)(20, 229)(21, 232)(22, 201)(23, 203)(24, 235)(25, 234)(26, 206)(27, 205)(28, 239)(29, 238)(30, 243)(31, 245)(32, 207)(33, 247)(34, 208)(35, 249)(36, 210)(37, 212)(38, 251)(39, 254)(40, 213)(41, 255)(42, 217)(43, 216)(44, 258)(45, 257)(46, 221)(47, 220)(48, 262)(49, 261)(50, 264)(51, 222)(52, 266)(53, 223)(54, 268)(55, 225)(56, 270)(57, 227)(58, 271)(59, 230)(60, 273)(61, 275)(62, 231)(63, 233)(64, 277)(65, 237)(66, 236)(67, 279)(68, 278)(69, 241)(70, 240)(71, 280)(72, 242)(73, 281)(74, 244)(75, 283)(76, 246)(77, 284)(78, 248)(79, 250)(80, 285)(81, 252)(82, 286)(83, 253)(84, 287)(85, 256)(86, 260)(87, 259)(88, 263)(89, 265)(90, 288)(91, 267)(92, 269)(93, 272)(94, 274)(95, 276)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1792
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1795 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1318>$ (small group id <192, 1318>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^8, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 30, 126, 29, 125, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 39, 135, 50, 146, 34, 130, 16, 112, 11, 107)(4, 100, 12, 108, 26, 122, 46, 142, 51, 147, 32, 128, 17, 113, 8, 104)(7, 103, 18, 114, 13, 109, 28, 124, 48, 144, 53, 149, 31, 127, 20, 116)(10, 106, 24, 120, 33, 129, 54, 150, 72, 168, 62, 158, 40, 136, 23, 119)(19, 115, 37, 133, 52, 148, 73, 169, 69, 165, 47, 143, 27, 123, 36, 132)(22, 118, 41, 137, 25, 121, 45, 141, 55, 151, 76, 172, 61, 157, 43, 139)(35, 131, 56, 152, 38, 134, 60, 156, 74, 170, 71, 167, 49, 145, 58, 154)(42, 138, 65, 161, 83, 179, 90, 186, 75, 171, 67, 163, 44, 140, 64, 160)(57, 153, 79, 175, 70, 166, 88, 184, 89, 185, 81, 177, 59, 155, 78, 174)(63, 159, 82, 178, 66, 162, 77, 173, 91, 187, 80, 176, 68, 164, 85, 181)(84, 180, 95, 191, 87, 183, 93, 189, 96, 192, 92, 188, 86, 182, 94, 190)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 219, 315)(206, 302, 213, 309)(207, 303, 223, 319)(209, 305, 225, 321)(210, 306, 227, 323)(212, 308, 230, 326)(215, 311, 234, 330)(216, 312, 236, 332)(218, 314, 232, 328)(220, 316, 241, 337)(221, 317, 240, 336)(222, 318, 242, 338)(224, 320, 244, 340)(226, 322, 247, 343)(228, 324, 249, 345)(229, 325, 251, 347)(231, 327, 253, 349)(233, 329, 255, 351)(235, 331, 258, 354)(237, 333, 260, 356)(238, 334, 261, 357)(239, 335, 262, 358)(243, 339, 264, 360)(245, 341, 266, 362)(246, 342, 267, 363)(248, 344, 269, 365)(250, 346, 272, 368)(252, 348, 274, 370)(254, 350, 275, 371)(256, 352, 276, 372)(257, 353, 278, 374)(259, 355, 279, 375)(263, 359, 277, 373)(265, 361, 281, 377)(268, 364, 283, 379)(270, 366, 284, 380)(271, 367, 285, 381)(273, 369, 286, 382)(280, 376, 287, 383)(282, 378, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 219)(14, 218)(15, 224)(16, 225)(17, 198)(18, 228)(19, 199)(20, 229)(21, 232)(22, 234)(23, 201)(24, 203)(25, 236)(26, 206)(27, 205)(28, 239)(29, 238)(30, 243)(31, 244)(32, 207)(33, 208)(34, 246)(35, 249)(36, 210)(37, 212)(38, 251)(39, 254)(40, 213)(41, 256)(42, 214)(43, 257)(44, 217)(45, 259)(46, 221)(47, 220)(48, 261)(49, 262)(50, 264)(51, 222)(52, 223)(53, 265)(54, 226)(55, 267)(56, 270)(57, 227)(58, 271)(59, 230)(60, 273)(61, 275)(62, 231)(63, 276)(64, 233)(65, 235)(66, 278)(67, 237)(68, 279)(69, 240)(70, 241)(71, 280)(72, 242)(73, 245)(74, 281)(75, 247)(76, 282)(77, 284)(78, 248)(79, 250)(80, 285)(81, 252)(82, 286)(83, 253)(84, 255)(85, 287)(86, 258)(87, 260)(88, 263)(89, 266)(90, 268)(91, 288)(92, 269)(93, 272)(94, 274)(95, 277)(96, 283)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1791
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1796 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C8 x S3) : C2 (small group id <96, 126>)
Aut   = $<192, 1336>$ (small group id <192, 1336>)
|r| :: 4
Presentation :: [ Y2^2, R^2 * Y3^2, Y3^-1 * R^2 * Y3^-1, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, R^-1 * Y3 * R * Y3, (Y3^-1 * Y1^-1)^2, R^-1 * Y1 * R * Y1, (R * Y2)^2, Y3^-2 * Y1^4, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 16, 112, 28, 124, 19, 115, 5, 101)(3, 99, 11, 107, 21, 117, 41, 137, 33, 129, 55, 151, 36, 132, 13, 109)(4, 100, 15, 111, 23, 119, 9, 105, 6, 102, 18, 114, 22, 118, 10, 106)(8, 104, 24, 120, 40, 136, 60, 156, 48, 144, 38, 134, 17, 113, 26, 122)(12, 108, 32, 128, 43, 139, 30, 126, 14, 110, 35, 131, 42, 138, 31, 127)(25, 121, 47, 143, 37, 133, 45, 141, 27, 123, 50, 146, 39, 135, 46, 142)(29, 125, 51, 147, 61, 157, 79, 175, 73, 169, 57, 153, 34, 130, 53, 149)(44, 140, 62, 158, 78, 174, 77, 173, 59, 155, 67, 163, 49, 145, 64, 160)(52, 148, 72, 168, 56, 152, 70, 166, 54, 150, 75, 171, 58, 154, 71, 167)(63, 159, 83, 179, 66, 162, 81, 177, 65, 161, 85, 181, 68, 164, 82, 178)(69, 165, 80, 176, 92, 188, 91, 187, 76, 172, 86, 182, 74, 170, 84, 180)(87, 183, 96, 192, 89, 185, 93, 189, 88, 184, 95, 191, 90, 186, 94, 190)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 221, 317)(205, 301, 226, 322)(207, 303, 229, 325)(208, 304, 225, 321)(210, 306, 231, 327)(211, 307, 228, 324)(212, 308, 232, 328)(214, 310, 235, 331)(215, 311, 234, 330)(216, 312, 236, 332)(218, 314, 241, 337)(220, 316, 240, 336)(222, 318, 246, 342)(223, 319, 244, 340)(224, 320, 248, 344)(227, 323, 250, 346)(230, 326, 251, 347)(233, 329, 253, 349)(237, 333, 257, 353)(238, 334, 255, 351)(239, 335, 258, 354)(242, 338, 260, 356)(243, 339, 261, 357)(245, 341, 266, 362)(247, 343, 265, 361)(249, 345, 268, 364)(252, 348, 270, 366)(254, 350, 272, 368)(256, 352, 276, 372)(259, 355, 278, 374)(262, 358, 280, 376)(263, 359, 279, 375)(264, 360, 281, 377)(267, 363, 282, 378)(269, 365, 283, 379)(271, 367, 284, 380)(273, 369, 286, 382)(274, 370, 285, 381)(275, 371, 287, 383)(277, 373, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 222)(12, 225)(13, 227)(14, 195)(15, 197)(16, 198)(17, 229)(18, 212)(19, 215)(20, 207)(21, 234)(22, 211)(23, 199)(24, 237)(25, 240)(26, 242)(27, 200)(28, 202)(29, 244)(30, 247)(31, 203)(32, 205)(33, 206)(34, 248)(35, 233)(36, 235)(37, 232)(38, 238)(39, 209)(40, 231)(41, 224)(42, 228)(43, 213)(44, 255)(45, 230)(46, 216)(47, 218)(48, 219)(49, 258)(50, 252)(51, 262)(52, 265)(53, 267)(54, 221)(55, 223)(56, 253)(57, 263)(58, 226)(59, 257)(60, 239)(61, 250)(62, 273)(63, 251)(64, 277)(65, 236)(66, 270)(67, 274)(68, 241)(69, 279)(70, 249)(71, 243)(72, 245)(73, 246)(74, 281)(75, 271)(76, 280)(77, 275)(78, 260)(79, 264)(80, 285)(81, 259)(82, 254)(83, 256)(84, 287)(85, 269)(86, 286)(87, 268)(88, 261)(89, 284)(90, 266)(91, 288)(92, 282)(93, 278)(94, 272)(95, 283)(96, 276)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1793
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1797 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^4, (Y3 * Y1 * Y2 * Y3 * Y2)^2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 107, 11, 101)(6, 109, 13, 102)(8, 113, 17, 104)(10, 117, 21, 106)(12, 121, 25, 108)(14, 125, 29, 110)(15, 127, 31, 111)(16, 129, 33, 112)(18, 133, 37, 114)(19, 135, 39, 115)(20, 137, 41, 116)(22, 141, 45, 118)(23, 142, 46, 119)(24, 144, 48, 120)(26, 148, 52, 122)(27, 150, 54, 123)(28, 152, 56, 124)(30, 156, 60, 126)(32, 147, 51, 128)(34, 155, 59, 130)(35, 151, 55, 131)(36, 143, 47, 132)(38, 149, 53, 134)(40, 146, 50, 136)(42, 154, 58, 138)(43, 153, 57, 139)(44, 145, 49, 140)(61, 169, 73, 157)(62, 173, 77, 158)(63, 182, 86, 159)(64, 183, 87, 160)(65, 170, 74, 161)(66, 185, 89, 162)(67, 176, 80, 163)(68, 175, 79, 164)(69, 184, 88, 165)(70, 181, 85, 166)(71, 180, 84, 167)(72, 179, 83, 168)(75, 187, 91, 171)(76, 188, 92, 172)(78, 190, 94, 174)(81, 189, 93, 177)(82, 186, 90, 178)(95, 192, 96, 191)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 34)(17, 35)(20, 42)(21, 43)(22, 38)(24, 49)(25, 50)(28, 57)(29, 58)(30, 53)(31, 61)(32, 63)(33, 64)(36, 68)(37, 69)(39, 71)(40, 70)(41, 72)(44, 67)(45, 66)(46, 73)(47, 75)(48, 76)(51, 80)(52, 81)(54, 83)(55, 82)(56, 84)(59, 79)(60, 78)(62, 85)(65, 88)(74, 90)(77, 93)(86, 92)(87, 91)(89, 95)(94, 96)(97, 100)(98, 102)(99, 104)(101, 108)(103, 112)(105, 116)(106, 118)(107, 120)(109, 124)(110, 126)(111, 128)(113, 132)(114, 134)(115, 136)(117, 140)(119, 143)(121, 147)(122, 149)(123, 151)(125, 155)(127, 158)(129, 161)(130, 162)(131, 163)(133, 166)(135, 160)(137, 157)(138, 165)(139, 164)(141, 159)(142, 170)(144, 173)(145, 174)(146, 175)(148, 178)(150, 172)(152, 169)(153, 177)(154, 176)(156, 171)(167, 182)(168, 185)(179, 187)(180, 190)(181, 191)(183, 189)(184, 188)(186, 192)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1800
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 12
	degree seq :: [ 4^48 ]

E19.1798 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^4, (Y3 * Y1 * Y2 * Y3 * Y2)^2, Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1, Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1, (Y3 * Y1 * Y2 * Y1 * Y3 * Y1)^2, (Y2 * Y1 * Y2 * Y1 * Y3 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 107, 11, 101)(6, 109, 13, 102)(8, 113, 17, 104)(10, 117, 21, 106)(12, 121, 25, 108)(14, 125, 29, 110)(15, 127, 31, 111)(16, 129, 33, 112)(18, 133, 37, 114)(19, 135, 39, 115)(20, 137, 41, 116)(22, 141, 45, 118)(23, 142, 46, 119)(24, 144, 48, 120)(26, 148, 52, 122)(27, 150, 54, 123)(28, 152, 56, 124)(30, 156, 60, 126)(32, 147, 51, 128)(34, 155, 59, 130)(35, 151, 55, 131)(36, 143, 47, 132)(38, 149, 53, 134)(40, 146, 50, 136)(42, 154, 58, 138)(43, 153, 57, 139)(44, 145, 49, 140)(61, 181, 85, 157)(62, 179, 83, 158)(63, 183, 87, 159)(64, 172, 76, 160)(65, 180, 84, 161)(66, 185, 89, 162)(67, 176, 80, 163)(68, 175, 79, 164)(69, 184, 88, 165)(70, 182, 86, 166)(71, 170, 74, 167)(72, 173, 77, 168)(73, 186, 90, 169)(75, 188, 92, 171)(78, 190, 94, 174)(81, 189, 93, 177)(82, 187, 91, 178)(95, 192, 96, 191)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 34)(17, 35)(20, 42)(21, 43)(22, 38)(24, 49)(25, 50)(28, 57)(29, 58)(30, 53)(31, 61)(32, 63)(33, 64)(36, 68)(37, 69)(39, 71)(40, 70)(41, 72)(44, 67)(45, 66)(46, 73)(47, 75)(48, 76)(51, 80)(52, 81)(54, 83)(55, 82)(56, 84)(59, 79)(60, 78)(62, 86)(65, 88)(74, 91)(77, 93)(85, 94)(87, 95)(89, 90)(92, 96)(97, 100)(98, 102)(99, 104)(101, 108)(103, 112)(105, 116)(106, 118)(107, 120)(109, 124)(110, 126)(111, 128)(113, 132)(114, 134)(115, 136)(117, 140)(119, 143)(121, 147)(122, 149)(123, 151)(125, 155)(127, 158)(129, 161)(130, 162)(131, 163)(133, 166)(135, 160)(137, 157)(138, 165)(139, 164)(141, 159)(142, 170)(144, 173)(145, 174)(146, 175)(148, 178)(150, 172)(152, 169)(153, 177)(154, 176)(156, 171)(167, 183)(168, 185)(179, 188)(180, 190)(181, 187)(182, 186)(184, 191)(189, 192)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1801
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 12
	degree seq :: [ 4^48 ]

E19.1799 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^4, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2, Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1, (Y3 * Y1)^6, (Y2 * Y1)^6, (Y2 * Y1 * Y3 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 107, 11, 101)(6, 109, 13, 102)(8, 113, 17, 104)(10, 117, 21, 106)(12, 121, 25, 108)(14, 125, 29, 110)(15, 127, 31, 111)(16, 129, 33, 112)(18, 133, 37, 114)(19, 135, 39, 115)(20, 137, 41, 116)(22, 141, 45, 118)(23, 142, 46, 119)(24, 144, 48, 120)(26, 148, 52, 122)(27, 150, 54, 123)(28, 152, 56, 124)(30, 156, 60, 126)(32, 155, 59, 128)(34, 147, 51, 130)(35, 153, 57, 131)(36, 145, 49, 132)(38, 149, 53, 134)(40, 154, 58, 136)(42, 146, 50, 138)(43, 151, 55, 139)(44, 143, 47, 140)(61, 169, 73, 157)(62, 182, 86, 158)(63, 183, 87, 159)(64, 179, 83, 160)(65, 185, 89, 161)(66, 186, 90, 162)(67, 176, 80, 163)(68, 175, 79, 164)(69, 184, 88, 165)(70, 181, 85, 166)(71, 172, 76, 167)(72, 180, 84, 168)(74, 188, 92, 170)(75, 189, 93, 171)(77, 191, 95, 173)(78, 192, 96, 174)(81, 190, 94, 177)(82, 187, 91, 178)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 34)(17, 35)(20, 42)(21, 43)(22, 38)(24, 49)(25, 50)(28, 57)(29, 58)(30, 53)(31, 61)(32, 63)(33, 64)(36, 68)(37, 69)(39, 65)(40, 70)(41, 62)(44, 67)(45, 66)(46, 73)(47, 75)(48, 76)(51, 80)(52, 81)(54, 77)(55, 82)(56, 74)(59, 79)(60, 78)(71, 87)(72, 90)(83, 93)(84, 96)(85, 95)(86, 94)(88, 92)(89, 91)(97, 100)(98, 102)(99, 104)(101, 108)(103, 112)(105, 116)(106, 118)(107, 120)(109, 124)(110, 126)(111, 128)(113, 132)(114, 134)(115, 136)(117, 140)(119, 143)(121, 147)(122, 149)(123, 151)(125, 155)(127, 158)(129, 161)(130, 162)(131, 163)(133, 166)(135, 167)(137, 168)(138, 165)(139, 164)(141, 159)(142, 170)(144, 173)(145, 174)(146, 175)(148, 178)(150, 179)(152, 180)(153, 177)(154, 176)(156, 171)(157, 181)(160, 184)(169, 187)(172, 190)(182, 189)(183, 188)(185, 192)(186, 191)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1802
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 12
	degree seq :: [ 4^48 ]

E19.1800 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1 * Y3 * Y2)^2, (Y3 * Y2 * Y1^-1)^2, Y1^-1 * Y2 * Y1^2 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, Y1^8, Y1^3 * Y2 * Y3 * Y2 * Y3 * Y1, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 114, 18, 138, 42, 137, 41, 113, 17, 101, 5, 97)(3, 105, 9, 116, 20, 143, 47, 132, 36, 160, 64, 129, 33, 107, 11, 99)(4, 108, 12, 115, 19, 141, 45, 126, 30, 157, 61, 134, 38, 110, 14, 100)(7, 117, 21, 140, 44, 166, 70, 151, 55, 136, 40, 112, 16, 119, 23, 103)(8, 120, 24, 139, 43, 165, 69, 147, 51, 135, 39, 111, 15, 122, 26, 104)(10, 125, 29, 144, 48, 118, 22, 109, 13, 131, 35, 142, 46, 121, 25, 106)(27, 153, 57, 168, 72, 162, 66, 133, 37, 159, 63, 128, 32, 154, 58, 123)(28, 155, 59, 130, 34, 161, 65, 167, 71, 158, 62, 127, 31, 156, 60, 124)(49, 169, 73, 163, 67, 176, 80, 152, 56, 174, 78, 149, 53, 170, 74, 145)(50, 171, 75, 150, 54, 175, 79, 164, 68, 173, 77, 148, 52, 172, 76, 146)(81, 185, 89, 183, 87, 191, 95, 182, 86, 190, 94, 180, 84, 188, 92, 177)(82, 187, 91, 181, 85, 186, 90, 184, 88, 189, 93, 179, 83, 192, 96, 178)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 30)(11, 31)(12, 32)(14, 28)(16, 29)(17, 38)(18, 43)(20, 48)(21, 49)(22, 51)(23, 52)(24, 53)(26, 50)(33, 46)(34, 47)(35, 44)(36, 42)(37, 64)(39, 67)(40, 56)(41, 55)(45, 71)(54, 70)(57, 81)(58, 83)(59, 84)(60, 82)(61, 72)(62, 87)(63, 86)(65, 88)(66, 85)(68, 69)(73, 89)(74, 91)(75, 92)(76, 90)(77, 95)(78, 94)(79, 96)(80, 93)(97, 100)(98, 104)(99, 106)(101, 112)(102, 116)(103, 118)(105, 124)(107, 128)(108, 130)(109, 132)(110, 133)(111, 131)(113, 129)(114, 140)(115, 142)(117, 146)(119, 149)(120, 150)(121, 151)(122, 152)(123, 141)(125, 139)(126, 138)(127, 157)(134, 144)(135, 148)(136, 164)(137, 147)(143, 168)(145, 165)(153, 178)(154, 180)(155, 181)(156, 182)(158, 179)(159, 184)(160, 167)(161, 177)(162, 183)(163, 166)(169, 186)(170, 188)(171, 189)(172, 190)(173, 187)(174, 192)(175, 185)(176, 191)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1797
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 96 f = 48
	degree seq :: [ 16^12 ]

E19.1801 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y2 * Y3)^2, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, Y2 * Y1^2 * Y3 * Y1^-2, (Y3 * Y2 * Y1^-1)^2, Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-3, Y1^-3 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y1^4, Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 114, 18, 138, 42, 137, 41, 113, 17, 101, 5, 97)(3, 105, 9, 116, 20, 143, 47, 132, 36, 160, 64, 129, 33, 107, 11, 99)(4, 108, 12, 115, 19, 141, 45, 126, 30, 157, 61, 134, 38, 110, 14, 100)(7, 117, 21, 140, 44, 166, 70, 151, 55, 136, 40, 112, 16, 119, 23, 103)(8, 120, 24, 139, 43, 165, 69, 147, 51, 135, 39, 111, 15, 122, 26, 104)(10, 125, 29, 144, 48, 118, 22, 109, 13, 131, 35, 142, 46, 121, 25, 106)(27, 153, 57, 168, 72, 162, 66, 133, 37, 159, 63, 128, 32, 154, 58, 123)(28, 155, 59, 130, 34, 161, 65, 167, 71, 158, 62, 127, 31, 156, 60, 124)(49, 169, 73, 163, 67, 176, 80, 152, 56, 174, 78, 149, 53, 170, 74, 145)(50, 171, 75, 150, 54, 175, 79, 164, 68, 173, 77, 148, 52, 172, 76, 146)(81, 190, 94, 183, 87, 188, 92, 182, 86, 185, 89, 180, 84, 191, 95, 177)(82, 189, 93, 181, 85, 192, 96, 184, 88, 187, 91, 179, 83, 186, 90, 178)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 30)(11, 31)(12, 32)(14, 28)(16, 29)(17, 38)(18, 43)(20, 48)(21, 49)(22, 51)(23, 52)(24, 53)(26, 50)(33, 46)(34, 47)(35, 44)(36, 42)(37, 64)(39, 67)(40, 56)(41, 55)(45, 71)(54, 70)(57, 81)(58, 83)(59, 84)(60, 82)(61, 72)(62, 87)(63, 86)(65, 88)(66, 85)(68, 69)(73, 89)(74, 91)(75, 92)(76, 90)(77, 95)(78, 94)(79, 96)(80, 93)(97, 100)(98, 104)(99, 106)(101, 112)(102, 116)(103, 118)(105, 124)(107, 128)(108, 130)(109, 132)(110, 133)(111, 131)(113, 129)(114, 140)(115, 142)(117, 146)(119, 149)(120, 150)(121, 151)(122, 152)(123, 141)(125, 139)(126, 138)(127, 157)(134, 144)(135, 148)(136, 164)(137, 147)(143, 168)(145, 165)(153, 178)(154, 180)(155, 181)(156, 182)(158, 179)(159, 184)(160, 167)(161, 177)(162, 183)(163, 166)(169, 186)(170, 188)(171, 189)(172, 190)(173, 187)(174, 192)(175, 185)(176, 191)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1798
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 96 f = 48
	degree seq :: [ 16^12 ]

E19.1802 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1^-1 * Y2)^2, (Y1^-1 * Y3 * Y2)^2, Y1^-1 * Y3 * Y1^-2 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y1^4, Y1^-2 * Y3 * Y2 * Y3 * Y2 * Y1^-2, Y1^8, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 114, 18, 138, 42, 137, 41, 113, 17, 101, 5, 97)(3, 105, 9, 123, 27, 153, 57, 133, 37, 144, 48, 116, 20, 107, 11, 99)(4, 108, 12, 130, 34, 155, 59, 127, 31, 142, 46, 115, 19, 110, 14, 100)(7, 117, 21, 112, 16, 136, 40, 151, 55, 166, 70, 140, 44, 119, 23, 103)(8, 120, 24, 111, 15, 135, 39, 147, 51, 165, 69, 139, 43, 122, 26, 104)(10, 126, 30, 143, 47, 118, 22, 109, 13, 132, 36, 141, 45, 121, 25, 106)(28, 154, 58, 129, 33, 160, 64, 134, 38, 162, 66, 167, 71, 156, 60, 124)(29, 157, 61, 128, 32, 159, 63, 168, 72, 161, 65, 131, 35, 158, 62, 125)(49, 169, 73, 149, 53, 174, 78, 152, 56, 176, 80, 164, 68, 170, 74, 145)(50, 171, 75, 148, 52, 173, 77, 163, 67, 175, 79, 150, 54, 172, 76, 146)(81, 185, 89, 180, 84, 188, 92, 182, 86, 190, 94, 184, 88, 192, 96, 177)(82, 189, 93, 179, 83, 186, 90, 183, 87, 187, 91, 181, 85, 191, 95, 178)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 31)(11, 32)(12, 33)(14, 29)(16, 30)(17, 34)(18, 43)(20, 47)(21, 49)(22, 51)(23, 52)(24, 53)(26, 50)(27, 45)(35, 57)(36, 44)(37, 42)(38, 48)(39, 67)(40, 54)(41, 55)(46, 71)(56, 70)(58, 81)(59, 72)(60, 83)(61, 84)(62, 82)(63, 87)(64, 85)(65, 88)(66, 86)(68, 69)(73, 89)(74, 91)(75, 92)(76, 90)(77, 95)(78, 93)(79, 96)(80, 94)(97, 100)(98, 104)(99, 106)(101, 112)(102, 116)(103, 118)(105, 125)(107, 129)(108, 131)(109, 133)(110, 134)(111, 132)(113, 123)(114, 140)(115, 141)(117, 146)(119, 149)(120, 150)(121, 151)(122, 152)(124, 155)(126, 139)(127, 138)(128, 142)(130, 143)(135, 145)(136, 164)(137, 147)(144, 168)(148, 165)(153, 167)(154, 178)(156, 180)(157, 181)(158, 182)(159, 177)(160, 184)(161, 179)(162, 183)(163, 166)(169, 186)(170, 188)(171, 189)(172, 190)(173, 185)(174, 192)(175, 187)(176, 191)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1799
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 96 f = 48
	degree seq :: [ 16^12 ]

E19.1803 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^4, (Y2 * Y1 * Y3 * Y2 * Y1)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2, Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2, (Y3 * Y2)^6 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 8, 104)(5, 101, 12, 108)(7, 103, 16, 112)(9, 105, 20, 116)(10, 106, 22, 118)(11, 107, 24, 120)(13, 109, 28, 124)(14, 110, 30, 126)(15, 111, 31, 127)(17, 113, 35, 131)(18, 114, 37, 133)(19, 115, 39, 135)(21, 117, 43, 139)(23, 119, 46, 142)(25, 121, 50, 146)(26, 122, 52, 148)(27, 123, 54, 150)(29, 125, 58, 154)(32, 128, 61, 157)(33, 129, 62, 158)(34, 130, 63, 159)(36, 132, 65, 161)(38, 134, 67, 163)(40, 136, 68, 164)(41, 137, 69, 165)(42, 138, 70, 166)(44, 140, 71, 167)(45, 141, 72, 168)(47, 143, 73, 169)(48, 144, 74, 170)(49, 145, 75, 171)(51, 147, 77, 173)(53, 149, 79, 175)(55, 151, 80, 176)(56, 152, 81, 177)(57, 153, 82, 178)(59, 155, 83, 179)(60, 156, 84, 180)(64, 160, 87, 183)(66, 162, 88, 184)(76, 172, 92, 188)(78, 174, 93, 189)(85, 181, 94, 190)(86, 182, 95, 191)(89, 185, 90, 186)(91, 187, 96, 192)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 213)(204, 217)(206, 221)(207, 215)(208, 224)(210, 228)(211, 230)(212, 232)(214, 236)(216, 239)(218, 243)(219, 245)(220, 247)(222, 251)(223, 249)(225, 241)(226, 240)(227, 256)(229, 258)(231, 255)(233, 254)(234, 238)(235, 257)(237, 253)(242, 268)(244, 270)(246, 267)(248, 266)(250, 269)(252, 265)(259, 277)(260, 272)(261, 281)(262, 278)(263, 280)(264, 279)(271, 282)(273, 286)(274, 283)(275, 285)(276, 284)(287, 288)(289, 291)(290, 293)(292, 298)(294, 302)(295, 303)(296, 306)(297, 307)(299, 311)(300, 314)(301, 315)(304, 321)(305, 322)(308, 329)(309, 330)(310, 333)(312, 336)(313, 337)(316, 344)(317, 345)(318, 348)(319, 341)(320, 339)(323, 347)(324, 335)(325, 343)(326, 334)(327, 342)(328, 340)(331, 346)(332, 338)(349, 373)(350, 374)(351, 365)(352, 367)(353, 363)(354, 370)(355, 364)(356, 372)(357, 369)(358, 366)(359, 377)(360, 368)(361, 378)(362, 379)(371, 382)(375, 383)(376, 381)(380, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1812
Graph:: simple bipartite
	v = 144 e = 192 f = 12
	degree seq :: [ 2^96, 4^48 ]

E19.1804 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^4, (Y2 * Y1 * Y3 * Y2 * Y1)^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1, Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2, (Y1 * Y3 * Y1 * Y3 * Y2 * Y3)^2, (Y3 * Y2 * Y3 * Y1 * Y3 * Y2)^2 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 8, 104)(5, 101, 12, 108)(7, 103, 16, 112)(9, 105, 20, 116)(10, 106, 22, 118)(11, 107, 24, 120)(13, 109, 28, 124)(14, 110, 30, 126)(15, 111, 31, 127)(17, 113, 35, 131)(18, 114, 37, 133)(19, 115, 39, 135)(21, 117, 43, 139)(23, 119, 46, 142)(25, 121, 50, 146)(26, 122, 52, 148)(27, 123, 54, 150)(29, 125, 58, 154)(32, 128, 61, 157)(33, 129, 62, 158)(34, 130, 63, 159)(36, 132, 65, 161)(38, 134, 67, 163)(40, 136, 68, 164)(41, 137, 69, 165)(42, 138, 70, 166)(44, 140, 71, 167)(45, 141, 72, 168)(47, 143, 73, 169)(48, 144, 74, 170)(49, 145, 75, 171)(51, 147, 77, 173)(53, 149, 79, 175)(55, 151, 80, 176)(56, 152, 81, 177)(57, 153, 82, 178)(59, 155, 83, 179)(60, 156, 84, 180)(64, 160, 87, 183)(66, 162, 88, 184)(76, 172, 92, 188)(78, 174, 93, 189)(85, 181, 95, 191)(86, 182, 94, 190)(89, 185, 91, 187)(90, 186, 96, 192)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 213)(204, 217)(206, 221)(207, 215)(208, 224)(210, 228)(211, 230)(212, 232)(214, 236)(216, 239)(218, 243)(219, 245)(220, 247)(222, 251)(223, 249)(225, 241)(226, 240)(227, 256)(229, 258)(231, 255)(233, 254)(234, 238)(235, 257)(237, 253)(242, 268)(244, 270)(246, 267)(248, 266)(250, 269)(252, 265)(259, 277)(260, 281)(261, 275)(262, 278)(263, 273)(264, 276)(271, 282)(272, 286)(274, 283)(279, 284)(280, 287)(285, 288)(289, 291)(290, 293)(292, 298)(294, 302)(295, 303)(296, 306)(297, 307)(299, 311)(300, 314)(301, 315)(304, 321)(305, 322)(308, 329)(309, 330)(310, 333)(312, 336)(313, 337)(316, 344)(317, 345)(318, 348)(319, 341)(320, 339)(323, 347)(324, 335)(325, 343)(326, 334)(327, 342)(328, 340)(331, 346)(332, 338)(349, 373)(350, 374)(351, 365)(352, 367)(353, 363)(354, 370)(355, 364)(356, 375)(357, 376)(358, 366)(359, 371)(360, 377)(361, 378)(362, 379)(368, 380)(369, 381)(372, 382)(383, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1813
Graph:: simple bipartite
	v = 144 e = 192 f = 12
	degree seq :: [ 2^96, 4^48 ]

E19.1805 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^4, (Y3 * Y2 * Y1 * Y2 * Y1)^2, Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1, (Y3 * Y1)^6, (Y3 * Y2)^6, (Y3 * Y1 * Y3 * Y2)^3 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 8, 104)(5, 101, 12, 108)(7, 103, 16, 112)(9, 105, 20, 116)(10, 106, 22, 118)(11, 107, 24, 120)(13, 109, 28, 124)(14, 110, 30, 126)(15, 111, 31, 127)(17, 113, 35, 131)(18, 114, 37, 133)(19, 115, 39, 135)(21, 117, 43, 139)(23, 119, 46, 142)(25, 121, 50, 146)(26, 122, 52, 148)(27, 123, 54, 150)(29, 125, 58, 154)(32, 128, 61, 157)(33, 129, 62, 158)(34, 130, 63, 159)(36, 132, 65, 161)(38, 134, 67, 163)(40, 136, 68, 164)(41, 137, 69, 165)(42, 138, 70, 166)(44, 140, 71, 167)(45, 141, 72, 168)(47, 143, 73, 169)(48, 144, 74, 170)(49, 145, 75, 171)(51, 147, 77, 173)(53, 149, 79, 175)(55, 151, 80, 176)(56, 152, 81, 177)(57, 153, 82, 178)(59, 155, 83, 179)(60, 156, 84, 180)(64, 160, 87, 183)(66, 162, 88, 184)(76, 172, 93, 189)(78, 174, 94, 190)(85, 181, 95, 191)(86, 182, 96, 192)(89, 185, 91, 187)(90, 186, 92, 188)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 213)(204, 217)(206, 221)(207, 215)(208, 224)(210, 228)(211, 230)(212, 232)(214, 236)(216, 239)(218, 243)(219, 245)(220, 247)(222, 251)(223, 249)(225, 241)(226, 240)(227, 252)(229, 248)(231, 257)(233, 244)(234, 238)(235, 255)(237, 242)(246, 269)(250, 267)(253, 277)(254, 278)(256, 271)(258, 274)(259, 268)(260, 272)(261, 279)(262, 270)(263, 282)(264, 281)(265, 283)(266, 284)(273, 285)(275, 288)(276, 287)(280, 286)(289, 291)(290, 293)(292, 298)(294, 302)(295, 303)(296, 306)(297, 307)(299, 311)(300, 314)(301, 315)(304, 321)(305, 322)(308, 329)(309, 330)(310, 333)(312, 336)(313, 337)(316, 344)(317, 345)(318, 348)(319, 341)(320, 339)(323, 352)(324, 335)(325, 354)(326, 334)(327, 346)(328, 350)(331, 342)(332, 349)(338, 364)(340, 366)(343, 362)(347, 361)(351, 363)(353, 365)(355, 373)(356, 377)(357, 378)(358, 374)(359, 371)(360, 376)(367, 379)(368, 383)(369, 384)(370, 380)(372, 382)(375, 381)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1814
Graph:: simple bipartite
	v = 144 e = 192 f = 12
	degree seq :: [ 2^96, 4^48 ]

E19.1806 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y2)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3^3 * Y1, Y3^8, (Y2 * Y1)^4, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 97, 4, 100, 14, 110, 38, 134, 42, 138, 41, 137, 17, 113, 5, 101)(2, 98, 7, 103, 23, 119, 53, 149, 27, 123, 56, 152, 26, 122, 8, 104)(3, 99, 10, 106, 31, 127, 44, 140, 18, 114, 43, 139, 33, 129, 11, 107)(6, 102, 19, 115, 46, 142, 29, 125, 9, 105, 28, 124, 48, 144, 20, 116)(12, 108, 34, 130, 57, 153, 72, 168, 47, 143, 40, 136, 16, 112, 35, 131)(13, 109, 36, 132, 45, 141, 71, 167, 58, 154, 39, 135, 15, 111, 37, 133)(21, 117, 49, 145, 69, 165, 60, 156, 32, 128, 55, 151, 25, 121, 50, 146)(22, 118, 51, 147, 30, 126, 59, 155, 70, 166, 54, 150, 24, 120, 52, 148)(61, 157, 81, 177, 67, 163, 88, 184, 66, 162, 86, 182, 64, 160, 82, 178)(62, 158, 83, 179, 65, 161, 87, 183, 68, 164, 85, 181, 63, 159, 84, 180)(73, 169, 89, 185, 79, 175, 96, 192, 78, 174, 94, 190, 76, 172, 90, 186)(74, 170, 91, 187, 77, 173, 95, 191, 80, 176, 93, 189, 75, 171, 92, 188)(193, 194)(195, 201)(196, 204)(197, 207)(198, 210)(199, 213)(200, 216)(202, 217)(203, 214)(205, 212)(206, 223)(208, 211)(209, 225)(215, 238)(218, 240)(219, 234)(220, 249)(221, 250)(222, 245)(224, 248)(226, 253)(227, 255)(228, 256)(229, 254)(230, 237)(231, 259)(232, 258)(233, 239)(235, 261)(236, 262)(241, 265)(242, 267)(243, 268)(244, 266)(246, 271)(247, 270)(251, 272)(252, 269)(257, 264)(260, 263)(273, 281)(274, 283)(275, 282)(276, 287)(277, 288)(278, 286)(279, 284)(280, 285)(289, 291)(290, 294)(292, 301)(293, 304)(295, 310)(296, 313)(297, 315)(298, 318)(299, 320)(300, 317)(302, 311)(303, 316)(305, 314)(306, 330)(307, 333)(308, 335)(309, 332)(312, 331)(319, 336)(321, 334)(322, 350)(323, 352)(324, 353)(325, 354)(326, 345)(327, 351)(328, 356)(329, 346)(337, 362)(338, 364)(339, 365)(340, 366)(341, 357)(342, 363)(343, 368)(344, 358)(347, 361)(348, 367)(349, 359)(355, 360)(369, 383)(370, 378)(371, 381)(372, 382)(373, 379)(374, 380)(375, 377)(376, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1809
Graph:: simple bipartite
	v = 108 e = 192 f = 48
	degree seq :: [ 2^96, 16^12 ]

E19.1807 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y2)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3^3 * Y1, Y3^8, (Y2 * Y1)^4, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 97, 4, 100, 14, 110, 38, 134, 42, 138, 41, 137, 17, 113, 5, 101)(2, 98, 7, 103, 23, 119, 53, 149, 27, 123, 56, 152, 26, 122, 8, 104)(3, 99, 10, 106, 31, 127, 44, 140, 18, 114, 43, 139, 33, 129, 11, 107)(6, 102, 19, 115, 46, 142, 29, 125, 9, 105, 28, 124, 48, 144, 20, 116)(12, 108, 34, 130, 57, 153, 72, 168, 47, 143, 40, 136, 16, 112, 35, 131)(13, 109, 36, 132, 45, 141, 71, 167, 58, 154, 39, 135, 15, 111, 37, 133)(21, 117, 49, 145, 69, 165, 60, 156, 32, 128, 55, 151, 25, 121, 50, 146)(22, 118, 51, 147, 30, 126, 59, 155, 70, 166, 54, 150, 24, 120, 52, 148)(61, 157, 81, 177, 67, 163, 88, 184, 66, 162, 86, 182, 64, 160, 82, 178)(62, 158, 83, 179, 65, 161, 87, 183, 68, 164, 85, 181, 63, 159, 84, 180)(73, 169, 89, 185, 79, 175, 96, 192, 78, 174, 94, 190, 76, 172, 90, 186)(74, 170, 91, 187, 77, 173, 95, 191, 80, 176, 93, 189, 75, 171, 92, 188)(193, 194)(195, 201)(196, 204)(197, 207)(198, 210)(199, 213)(200, 216)(202, 217)(203, 214)(205, 212)(206, 223)(208, 211)(209, 225)(215, 238)(218, 240)(219, 234)(220, 249)(221, 250)(222, 245)(224, 248)(226, 253)(227, 255)(228, 256)(229, 254)(230, 237)(231, 259)(232, 258)(233, 239)(235, 261)(236, 262)(241, 265)(242, 267)(243, 268)(244, 266)(246, 271)(247, 270)(251, 272)(252, 269)(257, 264)(260, 263)(273, 286)(274, 285)(275, 288)(276, 284)(277, 282)(278, 281)(279, 287)(280, 283)(289, 291)(290, 294)(292, 301)(293, 304)(295, 310)(296, 313)(297, 315)(298, 318)(299, 320)(300, 317)(302, 311)(303, 316)(305, 314)(306, 330)(307, 333)(308, 335)(309, 332)(312, 331)(319, 336)(321, 334)(322, 350)(323, 352)(324, 353)(325, 354)(326, 345)(327, 351)(328, 356)(329, 346)(337, 362)(338, 364)(339, 365)(340, 366)(341, 357)(342, 363)(343, 368)(344, 358)(347, 361)(348, 367)(349, 359)(355, 360)(369, 380)(370, 384)(371, 379)(372, 377)(373, 381)(374, 383)(375, 382)(376, 378)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1810
Graph:: simple bipartite
	v = 108 e = 192 f = 48
	degree seq :: [ 2^96, 16^12 ]

E19.1808 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1 * Y2)^2, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, (Y1 * Y3^-1 * Y2)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3^3 * Y1, (Y2 * Y1)^4, Y3^8, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 97, 4, 100, 14, 110, 38, 134, 42, 138, 41, 137, 17, 113, 5, 101)(2, 98, 7, 103, 23, 119, 53, 149, 27, 123, 56, 152, 26, 122, 8, 104)(3, 99, 10, 106, 31, 127, 44, 140, 18, 114, 43, 139, 33, 129, 11, 107)(6, 102, 19, 115, 46, 142, 29, 125, 9, 105, 28, 124, 48, 144, 20, 116)(12, 108, 34, 130, 16, 112, 40, 136, 47, 143, 72, 168, 57, 153, 35, 131)(13, 109, 36, 132, 15, 111, 39, 135, 58, 154, 71, 167, 45, 141, 37, 133)(21, 117, 49, 145, 25, 121, 55, 151, 32, 128, 60, 156, 69, 165, 50, 146)(22, 118, 51, 147, 24, 120, 54, 150, 70, 166, 59, 155, 30, 126, 52, 148)(61, 157, 81, 177, 64, 160, 86, 182, 66, 162, 88, 184, 68, 164, 82, 178)(62, 158, 83, 179, 63, 159, 85, 181, 67, 163, 87, 183, 65, 161, 84, 180)(73, 169, 89, 185, 76, 172, 94, 190, 78, 174, 96, 192, 80, 176, 90, 186)(74, 170, 91, 187, 75, 171, 93, 189, 79, 175, 95, 191, 77, 173, 92, 188)(193, 194)(195, 201)(196, 204)(197, 207)(198, 210)(199, 213)(200, 216)(202, 217)(203, 214)(205, 212)(206, 225)(208, 211)(209, 223)(215, 240)(218, 238)(219, 234)(220, 249)(221, 250)(222, 245)(224, 248)(226, 253)(227, 255)(228, 256)(229, 254)(230, 237)(231, 259)(232, 257)(233, 239)(235, 261)(236, 262)(241, 265)(242, 267)(243, 268)(244, 266)(246, 271)(247, 269)(251, 272)(252, 270)(258, 264)(260, 263)(273, 281)(274, 287)(275, 286)(276, 285)(277, 284)(278, 283)(279, 282)(280, 288)(289, 291)(290, 294)(292, 301)(293, 304)(295, 310)(296, 313)(297, 315)(298, 318)(299, 320)(300, 317)(302, 314)(303, 316)(305, 311)(306, 330)(307, 333)(308, 335)(309, 332)(312, 331)(319, 334)(321, 336)(322, 350)(323, 352)(324, 353)(325, 354)(326, 345)(327, 349)(328, 356)(329, 346)(337, 362)(338, 364)(339, 365)(340, 366)(341, 357)(342, 361)(343, 368)(344, 358)(347, 363)(348, 367)(351, 359)(355, 360)(369, 381)(370, 382)(371, 379)(372, 384)(373, 377)(374, 378)(375, 383)(376, 380)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1811
Graph:: simple bipartite
	v = 108 e = 192 f = 48
	degree seq :: [ 2^96, 16^12 ]

E19.1809 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^4, (Y2 * Y1 * Y3 * Y2 * Y1)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2, Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2, (Y3 * Y2)^6 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 8, 104, 200, 296)(5, 101, 197, 293, 12, 108, 204, 300)(7, 103, 199, 295, 16, 112, 208, 304)(9, 105, 201, 297, 20, 116, 212, 308)(10, 106, 202, 298, 22, 118, 214, 310)(11, 107, 203, 299, 24, 120, 216, 312)(13, 109, 205, 301, 28, 124, 220, 316)(14, 110, 206, 302, 30, 126, 222, 318)(15, 111, 207, 303, 31, 127, 223, 319)(17, 113, 209, 305, 35, 131, 227, 323)(18, 114, 210, 306, 37, 133, 229, 325)(19, 115, 211, 307, 39, 135, 231, 327)(21, 117, 213, 309, 43, 139, 235, 331)(23, 119, 215, 311, 46, 142, 238, 334)(25, 121, 217, 313, 50, 146, 242, 338)(26, 122, 218, 314, 52, 148, 244, 340)(27, 123, 219, 315, 54, 150, 246, 342)(29, 125, 221, 317, 58, 154, 250, 346)(32, 128, 224, 320, 61, 157, 253, 349)(33, 129, 225, 321, 62, 158, 254, 350)(34, 130, 226, 322, 63, 159, 255, 351)(36, 132, 228, 324, 65, 161, 257, 353)(38, 134, 230, 326, 67, 163, 259, 355)(40, 136, 232, 328, 68, 164, 260, 356)(41, 137, 233, 329, 69, 165, 261, 357)(42, 138, 234, 330, 70, 166, 262, 358)(44, 140, 236, 332, 71, 167, 263, 359)(45, 141, 237, 333, 72, 168, 264, 360)(47, 143, 239, 335, 73, 169, 265, 361)(48, 144, 240, 336, 74, 170, 266, 362)(49, 145, 241, 337, 75, 171, 267, 363)(51, 147, 243, 339, 77, 173, 269, 365)(53, 149, 245, 341, 79, 175, 271, 367)(55, 151, 247, 343, 80, 176, 272, 368)(56, 152, 248, 344, 81, 177, 273, 369)(57, 153, 249, 345, 82, 178, 274, 370)(59, 155, 251, 347, 83, 179, 275, 371)(60, 156, 252, 348, 84, 180, 276, 372)(64, 160, 256, 352, 87, 183, 279, 375)(66, 162, 258, 354, 88, 184, 280, 376)(76, 172, 268, 364, 92, 188, 284, 380)(78, 174, 270, 366, 93, 189, 285, 381)(85, 181, 277, 373, 94, 190, 286, 382)(86, 182, 278, 374, 95, 191, 287, 383)(89, 185, 281, 377, 90, 186, 282, 378)(91, 187, 283, 379, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 121)(13, 102)(14, 125)(15, 119)(16, 128)(17, 104)(18, 132)(19, 134)(20, 136)(21, 106)(22, 140)(23, 111)(24, 143)(25, 108)(26, 147)(27, 149)(28, 151)(29, 110)(30, 155)(31, 153)(32, 112)(33, 145)(34, 144)(35, 160)(36, 114)(37, 162)(38, 115)(39, 159)(40, 116)(41, 158)(42, 142)(43, 161)(44, 118)(45, 157)(46, 138)(47, 120)(48, 130)(49, 129)(50, 172)(51, 122)(52, 174)(53, 123)(54, 171)(55, 124)(56, 170)(57, 127)(58, 173)(59, 126)(60, 169)(61, 141)(62, 137)(63, 135)(64, 131)(65, 139)(66, 133)(67, 181)(68, 176)(69, 185)(70, 182)(71, 184)(72, 183)(73, 156)(74, 152)(75, 150)(76, 146)(77, 154)(78, 148)(79, 186)(80, 164)(81, 190)(82, 187)(83, 189)(84, 188)(85, 163)(86, 166)(87, 168)(88, 167)(89, 165)(90, 175)(91, 178)(92, 180)(93, 179)(94, 177)(95, 192)(96, 191)(193, 291)(194, 293)(195, 289)(196, 298)(197, 290)(198, 302)(199, 303)(200, 306)(201, 307)(202, 292)(203, 311)(204, 314)(205, 315)(206, 294)(207, 295)(208, 321)(209, 322)(210, 296)(211, 297)(212, 329)(213, 330)(214, 333)(215, 299)(216, 336)(217, 337)(218, 300)(219, 301)(220, 344)(221, 345)(222, 348)(223, 341)(224, 339)(225, 304)(226, 305)(227, 347)(228, 335)(229, 343)(230, 334)(231, 342)(232, 340)(233, 308)(234, 309)(235, 346)(236, 338)(237, 310)(238, 326)(239, 324)(240, 312)(241, 313)(242, 332)(243, 320)(244, 328)(245, 319)(246, 327)(247, 325)(248, 316)(249, 317)(250, 331)(251, 323)(252, 318)(253, 373)(254, 374)(255, 365)(256, 367)(257, 363)(258, 370)(259, 364)(260, 372)(261, 369)(262, 366)(263, 377)(264, 368)(265, 378)(266, 379)(267, 353)(268, 355)(269, 351)(270, 358)(271, 352)(272, 360)(273, 357)(274, 354)(275, 382)(276, 356)(277, 349)(278, 350)(279, 383)(280, 381)(281, 359)(282, 361)(283, 362)(284, 384)(285, 376)(286, 371)(287, 375)(288, 380)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1806
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 108
	degree seq :: [ 8^48 ]

E19.1810 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^4, (Y2 * Y1 * Y3 * Y2 * Y1)^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1, Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2, (Y1 * Y3 * Y1 * Y3 * Y2 * Y3)^2, (Y3 * Y2 * Y3 * Y1 * Y3 * Y2)^2 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 8, 104, 200, 296)(5, 101, 197, 293, 12, 108, 204, 300)(7, 103, 199, 295, 16, 112, 208, 304)(9, 105, 201, 297, 20, 116, 212, 308)(10, 106, 202, 298, 22, 118, 214, 310)(11, 107, 203, 299, 24, 120, 216, 312)(13, 109, 205, 301, 28, 124, 220, 316)(14, 110, 206, 302, 30, 126, 222, 318)(15, 111, 207, 303, 31, 127, 223, 319)(17, 113, 209, 305, 35, 131, 227, 323)(18, 114, 210, 306, 37, 133, 229, 325)(19, 115, 211, 307, 39, 135, 231, 327)(21, 117, 213, 309, 43, 139, 235, 331)(23, 119, 215, 311, 46, 142, 238, 334)(25, 121, 217, 313, 50, 146, 242, 338)(26, 122, 218, 314, 52, 148, 244, 340)(27, 123, 219, 315, 54, 150, 246, 342)(29, 125, 221, 317, 58, 154, 250, 346)(32, 128, 224, 320, 61, 157, 253, 349)(33, 129, 225, 321, 62, 158, 254, 350)(34, 130, 226, 322, 63, 159, 255, 351)(36, 132, 228, 324, 65, 161, 257, 353)(38, 134, 230, 326, 67, 163, 259, 355)(40, 136, 232, 328, 68, 164, 260, 356)(41, 137, 233, 329, 69, 165, 261, 357)(42, 138, 234, 330, 70, 166, 262, 358)(44, 140, 236, 332, 71, 167, 263, 359)(45, 141, 237, 333, 72, 168, 264, 360)(47, 143, 239, 335, 73, 169, 265, 361)(48, 144, 240, 336, 74, 170, 266, 362)(49, 145, 241, 337, 75, 171, 267, 363)(51, 147, 243, 339, 77, 173, 269, 365)(53, 149, 245, 341, 79, 175, 271, 367)(55, 151, 247, 343, 80, 176, 272, 368)(56, 152, 248, 344, 81, 177, 273, 369)(57, 153, 249, 345, 82, 178, 274, 370)(59, 155, 251, 347, 83, 179, 275, 371)(60, 156, 252, 348, 84, 180, 276, 372)(64, 160, 256, 352, 87, 183, 279, 375)(66, 162, 258, 354, 88, 184, 280, 376)(76, 172, 268, 364, 92, 188, 284, 380)(78, 174, 270, 366, 93, 189, 285, 381)(85, 181, 277, 373, 95, 191, 287, 383)(86, 182, 278, 374, 94, 190, 286, 382)(89, 185, 281, 377, 91, 187, 283, 379)(90, 186, 282, 378, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 121)(13, 102)(14, 125)(15, 119)(16, 128)(17, 104)(18, 132)(19, 134)(20, 136)(21, 106)(22, 140)(23, 111)(24, 143)(25, 108)(26, 147)(27, 149)(28, 151)(29, 110)(30, 155)(31, 153)(32, 112)(33, 145)(34, 144)(35, 160)(36, 114)(37, 162)(38, 115)(39, 159)(40, 116)(41, 158)(42, 142)(43, 161)(44, 118)(45, 157)(46, 138)(47, 120)(48, 130)(49, 129)(50, 172)(51, 122)(52, 174)(53, 123)(54, 171)(55, 124)(56, 170)(57, 127)(58, 173)(59, 126)(60, 169)(61, 141)(62, 137)(63, 135)(64, 131)(65, 139)(66, 133)(67, 181)(68, 185)(69, 179)(70, 182)(71, 177)(72, 180)(73, 156)(74, 152)(75, 150)(76, 146)(77, 154)(78, 148)(79, 186)(80, 190)(81, 167)(82, 187)(83, 165)(84, 168)(85, 163)(86, 166)(87, 188)(88, 191)(89, 164)(90, 175)(91, 178)(92, 183)(93, 192)(94, 176)(95, 184)(96, 189)(193, 291)(194, 293)(195, 289)(196, 298)(197, 290)(198, 302)(199, 303)(200, 306)(201, 307)(202, 292)(203, 311)(204, 314)(205, 315)(206, 294)(207, 295)(208, 321)(209, 322)(210, 296)(211, 297)(212, 329)(213, 330)(214, 333)(215, 299)(216, 336)(217, 337)(218, 300)(219, 301)(220, 344)(221, 345)(222, 348)(223, 341)(224, 339)(225, 304)(226, 305)(227, 347)(228, 335)(229, 343)(230, 334)(231, 342)(232, 340)(233, 308)(234, 309)(235, 346)(236, 338)(237, 310)(238, 326)(239, 324)(240, 312)(241, 313)(242, 332)(243, 320)(244, 328)(245, 319)(246, 327)(247, 325)(248, 316)(249, 317)(250, 331)(251, 323)(252, 318)(253, 373)(254, 374)(255, 365)(256, 367)(257, 363)(258, 370)(259, 364)(260, 375)(261, 376)(262, 366)(263, 371)(264, 377)(265, 378)(266, 379)(267, 353)(268, 355)(269, 351)(270, 358)(271, 352)(272, 380)(273, 381)(274, 354)(275, 359)(276, 382)(277, 349)(278, 350)(279, 356)(280, 357)(281, 360)(282, 361)(283, 362)(284, 368)(285, 369)(286, 372)(287, 384)(288, 383)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1807
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 108
	degree seq :: [ 8^48 ]

E19.1811 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^4, (Y3 * Y2 * Y1 * Y2 * Y1)^2, Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1, (Y3 * Y1)^6, (Y3 * Y2)^6, (Y3 * Y1 * Y3 * Y2)^3 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 8, 104, 200, 296)(5, 101, 197, 293, 12, 108, 204, 300)(7, 103, 199, 295, 16, 112, 208, 304)(9, 105, 201, 297, 20, 116, 212, 308)(10, 106, 202, 298, 22, 118, 214, 310)(11, 107, 203, 299, 24, 120, 216, 312)(13, 109, 205, 301, 28, 124, 220, 316)(14, 110, 206, 302, 30, 126, 222, 318)(15, 111, 207, 303, 31, 127, 223, 319)(17, 113, 209, 305, 35, 131, 227, 323)(18, 114, 210, 306, 37, 133, 229, 325)(19, 115, 211, 307, 39, 135, 231, 327)(21, 117, 213, 309, 43, 139, 235, 331)(23, 119, 215, 311, 46, 142, 238, 334)(25, 121, 217, 313, 50, 146, 242, 338)(26, 122, 218, 314, 52, 148, 244, 340)(27, 123, 219, 315, 54, 150, 246, 342)(29, 125, 221, 317, 58, 154, 250, 346)(32, 128, 224, 320, 61, 157, 253, 349)(33, 129, 225, 321, 62, 158, 254, 350)(34, 130, 226, 322, 63, 159, 255, 351)(36, 132, 228, 324, 65, 161, 257, 353)(38, 134, 230, 326, 67, 163, 259, 355)(40, 136, 232, 328, 68, 164, 260, 356)(41, 137, 233, 329, 69, 165, 261, 357)(42, 138, 234, 330, 70, 166, 262, 358)(44, 140, 236, 332, 71, 167, 263, 359)(45, 141, 237, 333, 72, 168, 264, 360)(47, 143, 239, 335, 73, 169, 265, 361)(48, 144, 240, 336, 74, 170, 266, 362)(49, 145, 241, 337, 75, 171, 267, 363)(51, 147, 243, 339, 77, 173, 269, 365)(53, 149, 245, 341, 79, 175, 271, 367)(55, 151, 247, 343, 80, 176, 272, 368)(56, 152, 248, 344, 81, 177, 273, 369)(57, 153, 249, 345, 82, 178, 274, 370)(59, 155, 251, 347, 83, 179, 275, 371)(60, 156, 252, 348, 84, 180, 276, 372)(64, 160, 256, 352, 87, 183, 279, 375)(66, 162, 258, 354, 88, 184, 280, 376)(76, 172, 268, 364, 93, 189, 285, 381)(78, 174, 270, 366, 94, 190, 286, 382)(85, 181, 277, 373, 95, 191, 287, 383)(86, 182, 278, 374, 96, 192, 288, 384)(89, 185, 281, 377, 91, 187, 283, 379)(90, 186, 282, 378, 92, 188, 284, 380)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 121)(13, 102)(14, 125)(15, 119)(16, 128)(17, 104)(18, 132)(19, 134)(20, 136)(21, 106)(22, 140)(23, 111)(24, 143)(25, 108)(26, 147)(27, 149)(28, 151)(29, 110)(30, 155)(31, 153)(32, 112)(33, 145)(34, 144)(35, 156)(36, 114)(37, 152)(38, 115)(39, 161)(40, 116)(41, 148)(42, 142)(43, 159)(44, 118)(45, 146)(46, 138)(47, 120)(48, 130)(49, 129)(50, 141)(51, 122)(52, 137)(53, 123)(54, 173)(55, 124)(56, 133)(57, 127)(58, 171)(59, 126)(60, 131)(61, 181)(62, 182)(63, 139)(64, 175)(65, 135)(66, 178)(67, 172)(68, 176)(69, 183)(70, 174)(71, 186)(72, 185)(73, 187)(74, 188)(75, 154)(76, 163)(77, 150)(78, 166)(79, 160)(80, 164)(81, 189)(82, 162)(83, 192)(84, 191)(85, 157)(86, 158)(87, 165)(88, 190)(89, 168)(90, 167)(91, 169)(92, 170)(93, 177)(94, 184)(95, 180)(96, 179)(193, 291)(194, 293)(195, 289)(196, 298)(197, 290)(198, 302)(199, 303)(200, 306)(201, 307)(202, 292)(203, 311)(204, 314)(205, 315)(206, 294)(207, 295)(208, 321)(209, 322)(210, 296)(211, 297)(212, 329)(213, 330)(214, 333)(215, 299)(216, 336)(217, 337)(218, 300)(219, 301)(220, 344)(221, 345)(222, 348)(223, 341)(224, 339)(225, 304)(226, 305)(227, 352)(228, 335)(229, 354)(230, 334)(231, 346)(232, 350)(233, 308)(234, 309)(235, 342)(236, 349)(237, 310)(238, 326)(239, 324)(240, 312)(241, 313)(242, 364)(243, 320)(244, 366)(245, 319)(246, 331)(247, 362)(248, 316)(249, 317)(250, 327)(251, 361)(252, 318)(253, 332)(254, 328)(255, 363)(256, 323)(257, 365)(258, 325)(259, 373)(260, 377)(261, 378)(262, 374)(263, 371)(264, 376)(265, 347)(266, 343)(267, 351)(268, 338)(269, 353)(270, 340)(271, 379)(272, 383)(273, 384)(274, 380)(275, 359)(276, 382)(277, 355)(278, 358)(279, 381)(280, 360)(281, 356)(282, 357)(283, 367)(284, 370)(285, 375)(286, 372)(287, 368)(288, 369)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1808
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 108
	degree seq :: [ 8^48 ]

E19.1812 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y2)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3^3 * Y1, Y3^8, (Y2 * Y1)^4, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 14, 110, 206, 302, 38, 134, 230, 326, 42, 138, 234, 330, 41, 137, 233, 329, 17, 113, 209, 305, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 23, 119, 215, 311, 53, 149, 245, 341, 27, 123, 219, 315, 56, 152, 248, 344, 26, 122, 218, 314, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 31, 127, 223, 319, 44, 140, 236, 332, 18, 114, 210, 306, 43, 139, 235, 331, 33, 129, 225, 321, 11, 107, 203, 299)(6, 102, 198, 294, 19, 115, 211, 307, 46, 142, 238, 334, 29, 125, 221, 317, 9, 105, 201, 297, 28, 124, 220, 316, 48, 144, 240, 336, 20, 116, 212, 308)(12, 108, 204, 300, 34, 130, 226, 322, 57, 153, 249, 345, 72, 168, 264, 360, 47, 143, 239, 335, 40, 136, 232, 328, 16, 112, 208, 304, 35, 131, 227, 323)(13, 109, 205, 301, 36, 132, 228, 324, 45, 141, 237, 333, 71, 167, 263, 359, 58, 154, 250, 346, 39, 135, 231, 327, 15, 111, 207, 303, 37, 133, 229, 325)(21, 117, 213, 309, 49, 145, 241, 337, 69, 165, 261, 357, 60, 156, 252, 348, 32, 128, 224, 320, 55, 151, 247, 343, 25, 121, 217, 313, 50, 146, 242, 338)(22, 118, 214, 310, 51, 147, 243, 339, 30, 126, 222, 318, 59, 155, 251, 347, 70, 166, 262, 358, 54, 150, 246, 342, 24, 120, 216, 312, 52, 148, 244, 340)(61, 157, 253, 349, 81, 177, 273, 369, 67, 163, 259, 355, 88, 184, 280, 376, 66, 162, 258, 354, 86, 182, 278, 374, 64, 160, 256, 352, 82, 178, 274, 370)(62, 158, 254, 350, 83, 179, 275, 371, 65, 161, 257, 353, 87, 183, 279, 375, 68, 164, 260, 356, 85, 181, 277, 373, 63, 159, 255, 351, 84, 180, 276, 372)(73, 169, 265, 361, 89, 185, 281, 377, 79, 175, 271, 367, 96, 192, 288, 384, 78, 174, 270, 366, 94, 190, 286, 382, 76, 172, 268, 364, 90, 186, 282, 378)(74, 170, 266, 362, 91, 187, 283, 379, 77, 173, 269, 365, 95, 191, 287, 383, 80, 176, 272, 368, 93, 189, 285, 381, 75, 171, 267, 363, 92, 188, 284, 380)
	L = (1, 98)(2, 97)(3, 105)(4, 108)(5, 111)(6, 114)(7, 117)(8, 120)(9, 99)(10, 121)(11, 118)(12, 100)(13, 116)(14, 127)(15, 101)(16, 115)(17, 129)(18, 102)(19, 112)(20, 109)(21, 103)(22, 107)(23, 142)(24, 104)(25, 106)(26, 144)(27, 138)(28, 153)(29, 154)(30, 149)(31, 110)(32, 152)(33, 113)(34, 157)(35, 159)(36, 160)(37, 158)(38, 141)(39, 163)(40, 162)(41, 143)(42, 123)(43, 165)(44, 166)(45, 134)(46, 119)(47, 137)(48, 122)(49, 169)(50, 171)(51, 172)(52, 170)(53, 126)(54, 175)(55, 174)(56, 128)(57, 124)(58, 125)(59, 176)(60, 173)(61, 130)(62, 133)(63, 131)(64, 132)(65, 168)(66, 136)(67, 135)(68, 167)(69, 139)(70, 140)(71, 164)(72, 161)(73, 145)(74, 148)(75, 146)(76, 147)(77, 156)(78, 151)(79, 150)(80, 155)(81, 185)(82, 187)(83, 186)(84, 191)(85, 192)(86, 190)(87, 188)(88, 189)(89, 177)(90, 179)(91, 178)(92, 183)(93, 184)(94, 182)(95, 180)(96, 181)(193, 291)(194, 294)(195, 289)(196, 301)(197, 304)(198, 290)(199, 310)(200, 313)(201, 315)(202, 318)(203, 320)(204, 317)(205, 292)(206, 311)(207, 316)(208, 293)(209, 314)(210, 330)(211, 333)(212, 335)(213, 332)(214, 295)(215, 302)(216, 331)(217, 296)(218, 305)(219, 297)(220, 303)(221, 300)(222, 298)(223, 336)(224, 299)(225, 334)(226, 350)(227, 352)(228, 353)(229, 354)(230, 345)(231, 351)(232, 356)(233, 346)(234, 306)(235, 312)(236, 309)(237, 307)(238, 321)(239, 308)(240, 319)(241, 362)(242, 364)(243, 365)(244, 366)(245, 357)(246, 363)(247, 368)(248, 358)(249, 326)(250, 329)(251, 361)(252, 367)(253, 359)(254, 322)(255, 327)(256, 323)(257, 324)(258, 325)(259, 360)(260, 328)(261, 341)(262, 344)(263, 349)(264, 355)(265, 347)(266, 337)(267, 342)(268, 338)(269, 339)(270, 340)(271, 348)(272, 343)(273, 383)(274, 378)(275, 381)(276, 382)(277, 379)(278, 380)(279, 377)(280, 384)(281, 375)(282, 370)(283, 373)(284, 374)(285, 371)(286, 372)(287, 369)(288, 376)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.1803
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 192 f = 144
	degree seq :: [ 32^12 ]

E19.1813 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y2)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3^3 * Y1, Y3^8, (Y2 * Y1)^4, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 14, 110, 206, 302, 38, 134, 230, 326, 42, 138, 234, 330, 41, 137, 233, 329, 17, 113, 209, 305, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 23, 119, 215, 311, 53, 149, 245, 341, 27, 123, 219, 315, 56, 152, 248, 344, 26, 122, 218, 314, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 31, 127, 223, 319, 44, 140, 236, 332, 18, 114, 210, 306, 43, 139, 235, 331, 33, 129, 225, 321, 11, 107, 203, 299)(6, 102, 198, 294, 19, 115, 211, 307, 46, 142, 238, 334, 29, 125, 221, 317, 9, 105, 201, 297, 28, 124, 220, 316, 48, 144, 240, 336, 20, 116, 212, 308)(12, 108, 204, 300, 34, 130, 226, 322, 57, 153, 249, 345, 72, 168, 264, 360, 47, 143, 239, 335, 40, 136, 232, 328, 16, 112, 208, 304, 35, 131, 227, 323)(13, 109, 205, 301, 36, 132, 228, 324, 45, 141, 237, 333, 71, 167, 263, 359, 58, 154, 250, 346, 39, 135, 231, 327, 15, 111, 207, 303, 37, 133, 229, 325)(21, 117, 213, 309, 49, 145, 241, 337, 69, 165, 261, 357, 60, 156, 252, 348, 32, 128, 224, 320, 55, 151, 247, 343, 25, 121, 217, 313, 50, 146, 242, 338)(22, 118, 214, 310, 51, 147, 243, 339, 30, 126, 222, 318, 59, 155, 251, 347, 70, 166, 262, 358, 54, 150, 246, 342, 24, 120, 216, 312, 52, 148, 244, 340)(61, 157, 253, 349, 81, 177, 273, 369, 67, 163, 259, 355, 88, 184, 280, 376, 66, 162, 258, 354, 86, 182, 278, 374, 64, 160, 256, 352, 82, 178, 274, 370)(62, 158, 254, 350, 83, 179, 275, 371, 65, 161, 257, 353, 87, 183, 279, 375, 68, 164, 260, 356, 85, 181, 277, 373, 63, 159, 255, 351, 84, 180, 276, 372)(73, 169, 265, 361, 89, 185, 281, 377, 79, 175, 271, 367, 96, 192, 288, 384, 78, 174, 270, 366, 94, 190, 286, 382, 76, 172, 268, 364, 90, 186, 282, 378)(74, 170, 266, 362, 91, 187, 283, 379, 77, 173, 269, 365, 95, 191, 287, 383, 80, 176, 272, 368, 93, 189, 285, 381, 75, 171, 267, 363, 92, 188, 284, 380)
	L = (1, 98)(2, 97)(3, 105)(4, 108)(5, 111)(6, 114)(7, 117)(8, 120)(9, 99)(10, 121)(11, 118)(12, 100)(13, 116)(14, 127)(15, 101)(16, 115)(17, 129)(18, 102)(19, 112)(20, 109)(21, 103)(22, 107)(23, 142)(24, 104)(25, 106)(26, 144)(27, 138)(28, 153)(29, 154)(30, 149)(31, 110)(32, 152)(33, 113)(34, 157)(35, 159)(36, 160)(37, 158)(38, 141)(39, 163)(40, 162)(41, 143)(42, 123)(43, 165)(44, 166)(45, 134)(46, 119)(47, 137)(48, 122)(49, 169)(50, 171)(51, 172)(52, 170)(53, 126)(54, 175)(55, 174)(56, 128)(57, 124)(58, 125)(59, 176)(60, 173)(61, 130)(62, 133)(63, 131)(64, 132)(65, 168)(66, 136)(67, 135)(68, 167)(69, 139)(70, 140)(71, 164)(72, 161)(73, 145)(74, 148)(75, 146)(76, 147)(77, 156)(78, 151)(79, 150)(80, 155)(81, 190)(82, 189)(83, 192)(84, 188)(85, 186)(86, 185)(87, 191)(88, 187)(89, 182)(90, 181)(91, 184)(92, 180)(93, 178)(94, 177)(95, 183)(96, 179)(193, 291)(194, 294)(195, 289)(196, 301)(197, 304)(198, 290)(199, 310)(200, 313)(201, 315)(202, 318)(203, 320)(204, 317)(205, 292)(206, 311)(207, 316)(208, 293)(209, 314)(210, 330)(211, 333)(212, 335)(213, 332)(214, 295)(215, 302)(216, 331)(217, 296)(218, 305)(219, 297)(220, 303)(221, 300)(222, 298)(223, 336)(224, 299)(225, 334)(226, 350)(227, 352)(228, 353)(229, 354)(230, 345)(231, 351)(232, 356)(233, 346)(234, 306)(235, 312)(236, 309)(237, 307)(238, 321)(239, 308)(240, 319)(241, 362)(242, 364)(243, 365)(244, 366)(245, 357)(246, 363)(247, 368)(248, 358)(249, 326)(250, 329)(251, 361)(252, 367)(253, 359)(254, 322)(255, 327)(256, 323)(257, 324)(258, 325)(259, 360)(260, 328)(261, 341)(262, 344)(263, 349)(264, 355)(265, 347)(266, 337)(267, 342)(268, 338)(269, 339)(270, 340)(271, 348)(272, 343)(273, 380)(274, 384)(275, 379)(276, 377)(277, 381)(278, 383)(279, 382)(280, 378)(281, 372)(282, 376)(283, 371)(284, 369)(285, 373)(286, 375)(287, 374)(288, 370)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.1804
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 192 f = 144
	degree seq :: [ 32^12 ]

E19.1814 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1 * Y2)^2, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, (Y1 * Y3^-1 * Y2)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3^3 * Y1, (Y2 * Y1)^4, Y3^8, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 14, 110, 206, 302, 38, 134, 230, 326, 42, 138, 234, 330, 41, 137, 233, 329, 17, 113, 209, 305, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 23, 119, 215, 311, 53, 149, 245, 341, 27, 123, 219, 315, 56, 152, 248, 344, 26, 122, 218, 314, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 31, 127, 223, 319, 44, 140, 236, 332, 18, 114, 210, 306, 43, 139, 235, 331, 33, 129, 225, 321, 11, 107, 203, 299)(6, 102, 198, 294, 19, 115, 211, 307, 46, 142, 238, 334, 29, 125, 221, 317, 9, 105, 201, 297, 28, 124, 220, 316, 48, 144, 240, 336, 20, 116, 212, 308)(12, 108, 204, 300, 34, 130, 226, 322, 16, 112, 208, 304, 40, 136, 232, 328, 47, 143, 239, 335, 72, 168, 264, 360, 57, 153, 249, 345, 35, 131, 227, 323)(13, 109, 205, 301, 36, 132, 228, 324, 15, 111, 207, 303, 39, 135, 231, 327, 58, 154, 250, 346, 71, 167, 263, 359, 45, 141, 237, 333, 37, 133, 229, 325)(21, 117, 213, 309, 49, 145, 241, 337, 25, 121, 217, 313, 55, 151, 247, 343, 32, 128, 224, 320, 60, 156, 252, 348, 69, 165, 261, 357, 50, 146, 242, 338)(22, 118, 214, 310, 51, 147, 243, 339, 24, 120, 216, 312, 54, 150, 246, 342, 70, 166, 262, 358, 59, 155, 251, 347, 30, 126, 222, 318, 52, 148, 244, 340)(61, 157, 253, 349, 81, 177, 273, 369, 64, 160, 256, 352, 86, 182, 278, 374, 66, 162, 258, 354, 88, 184, 280, 376, 68, 164, 260, 356, 82, 178, 274, 370)(62, 158, 254, 350, 83, 179, 275, 371, 63, 159, 255, 351, 85, 181, 277, 373, 67, 163, 259, 355, 87, 183, 279, 375, 65, 161, 257, 353, 84, 180, 276, 372)(73, 169, 265, 361, 89, 185, 281, 377, 76, 172, 268, 364, 94, 190, 286, 382, 78, 174, 270, 366, 96, 192, 288, 384, 80, 176, 272, 368, 90, 186, 282, 378)(74, 170, 266, 362, 91, 187, 283, 379, 75, 171, 267, 363, 93, 189, 285, 381, 79, 175, 271, 367, 95, 191, 287, 383, 77, 173, 269, 365, 92, 188, 284, 380)
	L = (1, 98)(2, 97)(3, 105)(4, 108)(5, 111)(6, 114)(7, 117)(8, 120)(9, 99)(10, 121)(11, 118)(12, 100)(13, 116)(14, 129)(15, 101)(16, 115)(17, 127)(18, 102)(19, 112)(20, 109)(21, 103)(22, 107)(23, 144)(24, 104)(25, 106)(26, 142)(27, 138)(28, 153)(29, 154)(30, 149)(31, 113)(32, 152)(33, 110)(34, 157)(35, 159)(36, 160)(37, 158)(38, 141)(39, 163)(40, 161)(41, 143)(42, 123)(43, 165)(44, 166)(45, 134)(46, 122)(47, 137)(48, 119)(49, 169)(50, 171)(51, 172)(52, 170)(53, 126)(54, 175)(55, 173)(56, 128)(57, 124)(58, 125)(59, 176)(60, 174)(61, 130)(62, 133)(63, 131)(64, 132)(65, 136)(66, 168)(67, 135)(68, 167)(69, 139)(70, 140)(71, 164)(72, 162)(73, 145)(74, 148)(75, 146)(76, 147)(77, 151)(78, 156)(79, 150)(80, 155)(81, 185)(82, 191)(83, 190)(84, 189)(85, 188)(86, 187)(87, 186)(88, 192)(89, 177)(90, 183)(91, 182)(92, 181)(93, 180)(94, 179)(95, 178)(96, 184)(193, 291)(194, 294)(195, 289)(196, 301)(197, 304)(198, 290)(199, 310)(200, 313)(201, 315)(202, 318)(203, 320)(204, 317)(205, 292)(206, 314)(207, 316)(208, 293)(209, 311)(210, 330)(211, 333)(212, 335)(213, 332)(214, 295)(215, 305)(216, 331)(217, 296)(218, 302)(219, 297)(220, 303)(221, 300)(222, 298)(223, 334)(224, 299)(225, 336)(226, 350)(227, 352)(228, 353)(229, 354)(230, 345)(231, 349)(232, 356)(233, 346)(234, 306)(235, 312)(236, 309)(237, 307)(238, 319)(239, 308)(240, 321)(241, 362)(242, 364)(243, 365)(244, 366)(245, 357)(246, 361)(247, 368)(248, 358)(249, 326)(250, 329)(251, 363)(252, 367)(253, 327)(254, 322)(255, 359)(256, 323)(257, 324)(258, 325)(259, 360)(260, 328)(261, 341)(262, 344)(263, 351)(264, 355)(265, 342)(266, 337)(267, 347)(268, 338)(269, 339)(270, 340)(271, 348)(272, 343)(273, 381)(274, 382)(275, 379)(276, 384)(277, 377)(278, 378)(279, 383)(280, 380)(281, 373)(282, 374)(283, 371)(284, 376)(285, 369)(286, 370)(287, 375)(288, 372)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.1805
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 192 f = 144
	degree seq :: [ 32^12 ]

E19.1815 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2)^3, Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 14, 110)(11, 107, 18, 114)(13, 109, 21, 117)(15, 111, 22, 118)(16, 112, 25, 121)(17, 113, 26, 122)(19, 115, 27, 123)(20, 116, 30, 126)(23, 119, 34, 130)(24, 120, 35, 131)(28, 124, 41, 137)(29, 125, 42, 138)(31, 127, 38, 134)(32, 128, 46, 142)(33, 129, 47, 143)(36, 132, 50, 146)(37, 133, 53, 149)(39, 135, 55, 151)(40, 136, 56, 152)(43, 139, 59, 155)(44, 140, 62, 158)(45, 141, 63, 159)(48, 144, 66, 162)(49, 145, 69, 165)(51, 147, 71, 167)(52, 148, 72, 168)(54, 150, 75, 171)(57, 153, 78, 174)(58, 154, 81, 177)(60, 156, 83, 179)(61, 157, 84, 180)(64, 160, 87, 183)(65, 161, 85, 181)(67, 163, 82, 178)(68, 164, 80, 176)(70, 166, 79, 175)(73, 169, 77, 173)(74, 170, 86, 182)(76, 172, 92, 188)(88, 184, 94, 190)(89, 185, 93, 189)(90, 186, 96, 192)(91, 187, 95, 191)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 202, 298)(201, 297, 207, 303)(204, 300, 211, 307)(205, 301, 209, 305)(206, 302, 214, 310)(208, 304, 216, 312)(210, 306, 219, 315)(212, 308, 221, 317)(213, 309, 223, 319)(215, 311, 225, 321)(217, 313, 228, 324)(218, 314, 230, 326)(220, 316, 232, 328)(222, 318, 235, 331)(224, 320, 237, 333)(226, 322, 240, 336)(227, 323, 242, 338)(229, 325, 244, 340)(231, 327, 246, 342)(233, 329, 249, 345)(234, 330, 251, 347)(236, 332, 253, 349)(238, 334, 256, 352)(239, 335, 258, 354)(241, 337, 260, 356)(243, 339, 262, 358)(245, 341, 265, 361)(247, 343, 268, 364)(248, 344, 270, 366)(250, 346, 272, 368)(252, 348, 274, 370)(254, 350, 277, 373)(255, 351, 279, 375)(257, 353, 276, 372)(259, 355, 281, 377)(261, 357, 273, 369)(263, 359, 280, 376)(264, 360, 269, 365)(266, 362, 283, 379)(267, 363, 284, 380)(271, 367, 286, 382)(275, 371, 285, 381)(278, 374, 288, 384)(282, 378, 287, 383)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 205)(8, 195)(9, 208)(10, 209)(11, 197)(12, 212)(13, 199)(14, 215)(15, 216)(16, 201)(17, 202)(18, 220)(19, 221)(20, 204)(21, 224)(22, 225)(23, 206)(24, 207)(25, 229)(26, 231)(27, 232)(28, 210)(29, 211)(30, 236)(31, 237)(32, 213)(33, 214)(34, 241)(35, 243)(36, 244)(37, 217)(38, 246)(39, 218)(40, 219)(41, 250)(42, 252)(43, 253)(44, 222)(45, 223)(46, 257)(47, 259)(48, 260)(49, 226)(50, 262)(51, 227)(52, 228)(53, 266)(54, 230)(55, 269)(56, 271)(57, 272)(58, 233)(59, 274)(60, 234)(61, 235)(62, 278)(63, 280)(64, 276)(65, 238)(66, 281)(67, 239)(68, 240)(69, 282)(70, 242)(71, 279)(72, 268)(73, 283)(74, 245)(75, 285)(76, 264)(77, 247)(78, 286)(79, 248)(80, 249)(81, 287)(82, 251)(83, 284)(84, 256)(85, 288)(86, 254)(87, 263)(88, 255)(89, 258)(90, 261)(91, 265)(92, 275)(93, 267)(94, 270)(95, 273)(96, 277)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1822
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1816 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2)^6, Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y2 * Y1)^6, (Y1 * Y2 * Y1 * Y3 * Y1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 36, 132)(22, 118, 38, 134)(24, 120, 41, 137)(26, 122, 44, 140)(27, 123, 46, 142)(29, 125, 49, 145)(32, 128, 54, 150)(34, 130, 57, 153)(35, 131, 59, 155)(37, 133, 62, 158)(39, 135, 52, 148)(40, 136, 60, 156)(42, 138, 55, 151)(43, 139, 68, 164)(45, 141, 69, 165)(47, 143, 53, 149)(48, 144, 71, 167)(50, 146, 73, 169)(51, 147, 65, 161)(56, 152, 77, 173)(58, 154, 78, 174)(61, 157, 80, 176)(63, 159, 82, 178)(64, 160, 74, 170)(66, 162, 75, 171)(67, 163, 83, 179)(70, 166, 85, 181)(72, 168, 84, 180)(76, 172, 88, 184)(79, 175, 90, 186)(81, 177, 89, 185)(86, 182, 92, 188)(87, 183, 91, 187)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 224, 320)(212, 308, 226, 322)(214, 310, 229, 325)(215, 311, 231, 327)(217, 313, 234, 330)(219, 315, 237, 333)(220, 316, 239, 335)(222, 318, 242, 338)(223, 319, 244, 340)(225, 321, 247, 343)(227, 323, 250, 346)(228, 324, 252, 348)(230, 326, 255, 351)(232, 328, 257, 353)(233, 329, 258, 354)(235, 331, 259, 355)(236, 332, 256, 352)(238, 334, 262, 358)(240, 336, 260, 356)(241, 337, 254, 350)(243, 339, 249, 345)(245, 341, 266, 362)(246, 342, 267, 363)(248, 344, 268, 364)(251, 347, 271, 367)(253, 349, 269, 365)(261, 357, 275, 371)(263, 359, 277, 373)(264, 360, 273, 369)(265, 361, 274, 370)(270, 366, 280, 376)(272, 368, 282, 378)(276, 372, 285, 381)(278, 374, 286, 382)(279, 375, 284, 380)(281, 377, 287, 383)(283, 379, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 224)(19, 202)(20, 227)(21, 229)(22, 204)(23, 232)(24, 205)(25, 235)(26, 237)(27, 207)(28, 240)(29, 208)(30, 243)(31, 245)(32, 210)(33, 248)(34, 250)(35, 212)(36, 253)(37, 213)(38, 256)(39, 257)(40, 215)(41, 251)(42, 259)(43, 217)(44, 255)(45, 218)(46, 246)(47, 260)(48, 220)(49, 264)(50, 249)(51, 222)(52, 266)(53, 223)(54, 238)(55, 268)(56, 225)(57, 242)(58, 226)(59, 233)(60, 269)(61, 228)(62, 273)(63, 236)(64, 230)(65, 231)(66, 271)(67, 234)(68, 239)(69, 276)(70, 267)(71, 278)(72, 241)(73, 279)(74, 244)(75, 262)(76, 247)(77, 252)(78, 281)(79, 258)(80, 283)(81, 254)(82, 284)(83, 285)(84, 261)(85, 286)(86, 263)(87, 265)(88, 287)(89, 270)(90, 288)(91, 272)(92, 274)(93, 275)(94, 277)(95, 280)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1821
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1817 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1 * Y3)^3, (Y1 * Y3 * Y1 * Y2 * Y1 * Y2)^2, (Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1)^2, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 34, 130)(22, 118, 36, 132)(24, 120, 29, 125)(26, 122, 41, 137)(27, 123, 42, 138)(32, 128, 35, 131)(37, 133, 55, 151)(38, 134, 51, 147)(39, 135, 49, 145)(40, 136, 58, 154)(43, 139, 48, 144)(44, 140, 64, 160)(45, 141, 65, 161)(46, 142, 67, 163)(47, 143, 68, 164)(50, 146, 71, 167)(52, 148, 73, 169)(53, 149, 74, 170)(54, 150, 76, 172)(56, 152, 57, 153)(59, 155, 78, 174)(60, 156, 82, 178)(61, 157, 83, 179)(62, 158, 85, 181)(63, 159, 66, 162)(69, 165, 70, 166)(72, 168, 75, 171)(77, 173, 87, 183)(79, 175, 88, 184)(80, 176, 91, 187)(81, 177, 84, 180)(86, 182, 90, 186)(89, 185, 92, 188)(93, 189, 95, 191)(94, 190, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 224, 320)(212, 308, 219, 315)(214, 310, 227, 323)(215, 311, 229, 325)(217, 313, 231, 327)(220, 316, 235, 331)(222, 318, 237, 333)(223, 319, 239, 335)(225, 321, 241, 337)(226, 322, 243, 339)(228, 324, 245, 341)(230, 326, 248, 344)(232, 328, 249, 345)(233, 329, 251, 347)(234, 330, 253, 349)(236, 332, 255, 351)(238, 334, 258, 354)(240, 336, 261, 357)(242, 338, 262, 358)(244, 340, 264, 360)(246, 342, 267, 363)(247, 343, 269, 365)(250, 346, 271, 367)(252, 348, 273, 369)(254, 350, 276, 372)(256, 352, 275, 371)(257, 353, 274, 370)(259, 355, 280, 376)(260, 356, 278, 374)(263, 359, 272, 368)(265, 361, 270, 366)(266, 362, 277, 373)(268, 364, 283, 379)(279, 375, 285, 381)(281, 377, 287, 383)(282, 378, 286, 382)(284, 380, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 224)(19, 202)(20, 218)(21, 227)(22, 204)(23, 230)(24, 205)(25, 232)(26, 212)(27, 207)(28, 236)(29, 208)(30, 238)(31, 240)(32, 210)(33, 242)(34, 244)(35, 213)(36, 246)(37, 248)(38, 215)(39, 249)(40, 217)(41, 252)(42, 254)(43, 255)(44, 220)(45, 258)(46, 222)(47, 261)(48, 223)(49, 262)(50, 225)(51, 264)(52, 226)(53, 267)(54, 228)(55, 270)(56, 229)(57, 231)(58, 272)(59, 273)(60, 233)(61, 276)(62, 234)(63, 235)(64, 278)(65, 279)(66, 237)(67, 281)(68, 275)(69, 239)(70, 241)(71, 271)(72, 243)(73, 269)(74, 282)(75, 245)(76, 284)(77, 265)(78, 247)(79, 263)(80, 250)(81, 251)(82, 285)(83, 260)(84, 253)(85, 286)(86, 256)(87, 257)(88, 287)(89, 259)(90, 266)(91, 288)(92, 268)(93, 274)(94, 277)(95, 280)(96, 283)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1823
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1818 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 36, 132)(22, 118, 38, 134)(24, 120, 41, 137)(26, 122, 44, 140)(27, 123, 46, 142)(29, 125, 49, 145)(32, 128, 50, 146)(34, 130, 43, 139)(35, 131, 56, 152)(37, 133, 57, 153)(39, 135, 59, 155)(40, 136, 48, 144)(42, 138, 54, 150)(45, 141, 64, 160)(47, 143, 53, 149)(51, 147, 70, 166)(52, 148, 71, 167)(55, 151, 73, 169)(58, 154, 78, 174)(60, 156, 65, 161)(61, 157, 81, 177)(62, 158, 82, 178)(63, 159, 80, 176)(66, 162, 67, 163)(68, 164, 86, 182)(69, 165, 87, 183)(72, 168, 74, 170)(75, 171, 76, 172)(77, 173, 79, 175)(83, 179, 91, 187)(84, 180, 90, 186)(85, 181, 89, 185)(88, 184, 92, 188)(93, 189, 94, 190)(95, 191, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 224, 320)(212, 308, 226, 322)(214, 310, 229, 325)(215, 311, 231, 327)(217, 313, 234, 330)(219, 315, 237, 333)(220, 316, 239, 335)(222, 318, 242, 338)(223, 319, 244, 340)(225, 321, 246, 342)(227, 323, 247, 343)(228, 324, 240, 336)(230, 326, 233, 329)(232, 328, 252, 348)(235, 331, 254, 350)(236, 332, 255, 351)(238, 334, 257, 353)(241, 337, 259, 355)(243, 339, 261, 357)(245, 341, 264, 360)(248, 344, 266, 362)(249, 345, 268, 364)(250, 346, 253, 349)(251, 347, 271, 367)(256, 352, 262, 358)(258, 354, 276, 372)(260, 356, 277, 373)(263, 359, 278, 374)(265, 361, 270, 366)(267, 363, 282, 378)(269, 365, 283, 379)(272, 368, 285, 381)(273, 369, 286, 382)(274, 370, 288, 384)(275, 371, 280, 376)(279, 375, 287, 383)(281, 377, 284, 380)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 224)(19, 202)(20, 227)(21, 229)(22, 204)(23, 232)(24, 205)(25, 235)(26, 237)(27, 207)(28, 240)(29, 208)(30, 243)(31, 245)(32, 210)(33, 236)(34, 247)(35, 212)(36, 239)(37, 213)(38, 250)(39, 252)(40, 215)(41, 253)(42, 254)(43, 217)(44, 225)(45, 218)(46, 258)(47, 228)(48, 220)(49, 260)(50, 261)(51, 222)(52, 264)(53, 223)(54, 255)(55, 226)(56, 267)(57, 269)(58, 230)(59, 272)(60, 231)(61, 233)(62, 234)(63, 246)(64, 275)(65, 276)(66, 238)(67, 277)(68, 241)(69, 242)(70, 280)(71, 274)(72, 244)(73, 281)(74, 282)(75, 248)(76, 283)(77, 249)(78, 284)(79, 285)(80, 251)(81, 287)(82, 263)(83, 256)(84, 257)(85, 259)(86, 288)(87, 286)(88, 262)(89, 265)(90, 266)(91, 268)(92, 270)(93, 271)(94, 279)(95, 273)(96, 278)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1824
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1819 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 13, 109)(6, 102, 14, 110)(7, 103, 17, 113)(8, 104, 18, 114)(10, 106, 22, 118)(11, 107, 23, 119)(15, 111, 33, 129)(16, 112, 34, 130)(19, 115, 41, 137)(20, 116, 44, 140)(21, 117, 45, 141)(24, 120, 52, 148)(25, 121, 55, 151)(26, 122, 56, 152)(27, 123, 57, 153)(28, 124, 60, 156)(29, 125, 61, 157)(30, 126, 62, 158)(31, 127, 48, 144)(32, 128, 64, 160)(35, 131, 69, 165)(36, 132, 42, 138)(37, 133, 71, 167)(38, 134, 53, 149)(39, 135, 74, 170)(40, 136, 46, 142)(43, 139, 77, 173)(47, 143, 83, 179)(49, 145, 84, 180)(50, 146, 73, 169)(51, 147, 70, 166)(54, 150, 68, 164)(58, 154, 88, 184)(59, 155, 67, 163)(63, 159, 85, 181)(65, 161, 93, 189)(66, 162, 82, 178)(72, 168, 96, 192)(75, 171, 89, 185)(76, 172, 95, 191)(78, 174, 91, 187)(79, 175, 81, 177)(80, 176, 92, 188)(86, 182, 94, 190)(87, 183, 90, 186)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 208, 304)(200, 296, 207, 303)(201, 297, 211, 307)(204, 300, 216, 312)(205, 301, 219, 315)(206, 302, 222, 318)(209, 305, 227, 323)(210, 306, 230, 326)(212, 308, 235, 331)(213, 309, 234, 330)(214, 310, 238, 334)(215, 311, 241, 337)(217, 313, 246, 342)(218, 314, 245, 341)(220, 316, 251, 347)(221, 317, 250, 346)(223, 319, 255, 351)(224, 320, 247, 343)(225, 321, 253, 349)(226, 322, 258, 354)(228, 324, 262, 358)(229, 325, 249, 345)(231, 327, 265, 361)(232, 328, 264, 360)(233, 329, 267, 363)(236, 332, 270, 366)(237, 333, 271, 367)(239, 335, 274, 370)(240, 336, 273, 369)(242, 338, 278, 374)(243, 339, 277, 373)(244, 340, 279, 375)(248, 344, 280, 376)(252, 348, 272, 368)(254, 350, 281, 377)(256, 352, 283, 379)(257, 353, 276, 372)(259, 355, 286, 382)(260, 356, 269, 365)(261, 357, 287, 383)(263, 359, 288, 384)(266, 362, 284, 380)(268, 364, 275, 371)(282, 378, 285, 381)
	L = (1, 196)(2, 199)(3, 202)(4, 197)(5, 193)(6, 207)(7, 200)(8, 194)(9, 212)(10, 203)(11, 195)(12, 217)(13, 220)(14, 223)(15, 208)(16, 198)(17, 228)(18, 231)(19, 234)(20, 213)(21, 201)(22, 239)(23, 242)(24, 245)(25, 218)(26, 204)(27, 250)(28, 221)(29, 205)(30, 247)(31, 224)(32, 206)(33, 257)(34, 259)(35, 249)(36, 229)(37, 209)(38, 264)(39, 232)(40, 210)(41, 248)(42, 235)(43, 211)(44, 225)(45, 272)(46, 273)(47, 240)(48, 214)(49, 277)(50, 243)(51, 215)(52, 237)(53, 246)(54, 216)(55, 255)(56, 268)(57, 262)(58, 251)(59, 219)(60, 271)(61, 270)(62, 263)(63, 222)(64, 284)(65, 236)(66, 269)(67, 260)(68, 226)(69, 256)(70, 227)(71, 282)(72, 265)(73, 230)(74, 283)(75, 275)(76, 233)(77, 286)(78, 276)(79, 279)(80, 244)(81, 274)(82, 238)(83, 280)(84, 253)(85, 278)(86, 241)(87, 252)(88, 267)(89, 285)(90, 254)(91, 287)(92, 261)(93, 288)(94, 258)(95, 266)(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, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1825
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1820 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3^2 * Y1 * Y2 * Y3^-1 * Y1 * Y2, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1, Y1 * Y3^-2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 16, 112)(7, 103, 19, 115)(8, 104, 21, 117)(10, 106, 26, 122)(11, 107, 28, 124)(13, 109, 33, 129)(15, 111, 38, 134)(17, 113, 42, 138)(18, 114, 27, 123)(20, 116, 47, 143)(22, 118, 52, 148)(23, 119, 53, 149)(24, 120, 54, 150)(25, 121, 56, 152)(29, 125, 60, 156)(30, 126, 61, 157)(31, 127, 63, 159)(32, 128, 65, 161)(34, 130, 48, 144)(35, 131, 68, 164)(36, 132, 70, 166)(37, 133, 71, 167)(39, 135, 73, 169)(40, 136, 62, 158)(41, 137, 75, 171)(43, 139, 76, 172)(44, 140, 77, 173)(45, 141, 67, 163)(46, 142, 79, 175)(49, 145, 57, 153)(50, 146, 81, 177)(51, 147, 66, 162)(55, 151, 86, 182)(58, 154, 69, 165)(59, 155, 80, 176)(64, 160, 84, 180)(72, 168, 88, 184)(74, 170, 93, 189)(78, 174, 91, 187)(82, 178, 95, 191)(83, 179, 90, 186)(85, 181, 96, 192)(87, 183, 94, 190)(89, 185, 92, 188)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 210, 306)(200, 296, 209, 305)(201, 297, 215, 311)(204, 300, 222, 318)(205, 301, 221, 317)(206, 302, 227, 323)(207, 303, 219, 315)(208, 304, 231, 327)(211, 307, 236, 332)(212, 308, 235, 331)(213, 309, 241, 337)(214, 310, 220, 316)(216, 312, 225, 321)(217, 313, 229, 325)(218, 314, 223, 319)(224, 320, 254, 350)(226, 322, 250, 346)(228, 324, 261, 357)(230, 326, 264, 360)(232, 328, 239, 335)(233, 329, 243, 339)(234, 330, 237, 333)(238, 334, 246, 342)(240, 336, 251, 347)(242, 338, 272, 368)(244, 340, 274, 370)(245, 341, 275, 371)(247, 343, 259, 355)(248, 344, 257, 353)(249, 345, 256, 352)(252, 348, 258, 354)(253, 349, 281, 377)(255, 351, 266, 362)(260, 356, 270, 366)(262, 358, 279, 375)(263, 359, 268, 364)(265, 361, 282, 378)(267, 363, 271, 367)(269, 365, 288, 384)(273, 369, 286, 382)(276, 372, 278, 374)(277, 373, 280, 376)(283, 379, 285, 381)(284, 380, 287, 383)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 209)(7, 212)(8, 194)(9, 216)(10, 219)(11, 195)(12, 223)(13, 226)(14, 228)(15, 197)(16, 232)(17, 220)(18, 198)(19, 237)(20, 240)(21, 242)(22, 200)(23, 229)(24, 247)(25, 201)(26, 222)(27, 250)(28, 251)(29, 203)(30, 254)(31, 256)(32, 204)(33, 215)(34, 207)(35, 217)(36, 259)(37, 206)(38, 258)(39, 243)(40, 266)(41, 208)(42, 236)(43, 210)(44, 246)(45, 270)(46, 211)(47, 231)(48, 214)(49, 233)(50, 255)(51, 213)(52, 263)(53, 276)(54, 268)(55, 261)(56, 279)(57, 218)(58, 221)(59, 235)(60, 264)(61, 278)(62, 252)(63, 239)(64, 230)(65, 277)(66, 224)(67, 225)(68, 234)(69, 227)(70, 257)(71, 238)(72, 249)(73, 283)(74, 272)(75, 286)(76, 274)(77, 285)(78, 244)(79, 284)(80, 241)(81, 271)(82, 260)(83, 280)(84, 281)(85, 245)(86, 275)(87, 253)(88, 248)(89, 262)(90, 287)(91, 288)(92, 265)(93, 282)(94, 269)(95, 267)(96, 273)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1826
Graph:: simple bipartite
	v = 96 e = 192 f = 60
	degree seq :: [ 4^96 ]

E19.1821 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, Y1^8, Y1^-2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 33, 129, 32, 128, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 40, 136, 60, 156, 53, 149, 26, 122, 11, 107)(4, 100, 12, 108, 27, 123, 54, 150, 61, 157, 35, 131, 17, 113, 8, 104)(7, 103, 18, 114, 39, 135, 65, 161, 51, 147, 25, 121, 44, 140, 20, 116)(10, 106, 24, 120, 49, 145, 79, 175, 84, 180, 71, 167, 46, 142, 23, 119)(13, 109, 29, 125, 48, 144, 22, 118, 34, 130, 62, 158, 58, 154, 30, 126)(16, 112, 36, 132, 64, 160, 59, 155, 31, 127, 43, 139, 68, 164, 38, 134)(19, 115, 42, 138, 72, 168, 50, 146, 81, 177, 88, 184, 70, 166, 41, 137)(28, 124, 56, 152, 83, 179, 85, 181, 63, 159, 47, 143, 77, 173, 57, 153)(37, 133, 67, 163, 89, 185, 73, 169, 55, 151, 82, 178, 87, 183, 66, 162)(45, 141, 75, 171, 90, 186, 69, 165, 52, 148, 78, 174, 86, 182, 74, 170)(76, 172, 92, 188, 95, 191, 94, 190, 80, 176, 91, 187, 96, 192, 93, 189)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 220, 316)(206, 302, 223, 319)(207, 303, 226, 322)(209, 305, 229, 325)(210, 306, 232, 328)(212, 308, 235, 331)(213, 309, 237, 333)(215, 311, 239, 335)(216, 312, 242, 338)(218, 314, 244, 340)(219, 315, 247, 343)(221, 317, 230, 326)(222, 318, 245, 341)(224, 320, 243, 339)(225, 321, 252, 348)(227, 323, 255, 351)(228, 324, 257, 353)(231, 327, 261, 357)(233, 329, 263, 359)(234, 330, 265, 361)(236, 332, 266, 362)(238, 334, 268, 364)(240, 336, 270, 366)(241, 337, 272, 368)(246, 342, 273, 369)(248, 344, 271, 367)(249, 345, 259, 355)(250, 346, 267, 363)(251, 347, 254, 350)(253, 349, 276, 372)(256, 352, 278, 374)(258, 354, 280, 376)(260, 356, 282, 378)(262, 358, 283, 379)(264, 360, 284, 380)(269, 365, 286, 382)(274, 370, 277, 373)(275, 371, 285, 381)(279, 375, 287, 383)(281, 377, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 220)(14, 219)(15, 227)(16, 229)(17, 198)(18, 233)(19, 199)(20, 234)(21, 238)(22, 239)(23, 201)(24, 203)(25, 242)(26, 241)(27, 206)(28, 205)(29, 249)(30, 248)(31, 247)(32, 246)(33, 253)(34, 255)(35, 207)(36, 258)(37, 208)(38, 259)(39, 262)(40, 263)(41, 210)(42, 212)(43, 265)(44, 264)(45, 268)(46, 213)(47, 214)(48, 269)(49, 218)(50, 217)(51, 273)(52, 272)(53, 271)(54, 224)(55, 223)(56, 222)(57, 221)(58, 275)(59, 274)(60, 276)(61, 225)(62, 277)(63, 226)(64, 279)(65, 280)(66, 228)(67, 230)(68, 281)(69, 283)(70, 231)(71, 232)(72, 236)(73, 235)(74, 284)(75, 285)(76, 237)(77, 240)(78, 286)(79, 245)(80, 244)(81, 243)(82, 251)(83, 250)(84, 252)(85, 254)(86, 287)(87, 256)(88, 257)(89, 260)(90, 288)(91, 261)(92, 266)(93, 267)(94, 270)(95, 278)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1816
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1822 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^3, Y1^8, Y1^-1 * Y2 * Y1^4 * Y2 * Y1^-3, Y2 * Y1^-1 * Y2 * Y1^3 * Y2 * Y1^3, Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1^2 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 31, 127, 30, 126, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 41, 137, 56, 152, 48, 144, 25, 121, 11, 107)(4, 100, 12, 108, 26, 122, 49, 145, 57, 153, 33, 129, 17, 113, 8, 104)(7, 103, 18, 114, 37, 133, 65, 161, 55, 151, 70, 166, 40, 136, 20, 116)(10, 106, 24, 120, 46, 142, 75, 171, 82, 178, 71, 167, 43, 139, 23, 119)(13, 109, 28, 124, 52, 148, 60, 156, 32, 128, 58, 154, 45, 141, 22, 118)(16, 112, 34, 130, 61, 157, 53, 149, 29, 125, 54, 150, 64, 160, 36, 132)(19, 115, 39, 135, 68, 164, 91, 187, 78, 174, 89, 185, 67, 163, 38, 134)(27, 123, 44, 140, 74, 170, 83, 179, 59, 155, 84, 180, 81, 177, 51, 147)(35, 131, 63, 159, 87, 183, 80, 176, 50, 146, 79, 175, 86, 182, 62, 158)(42, 138, 72, 168, 88, 184, 66, 162, 47, 143, 77, 173, 85, 181, 69, 165)(73, 169, 92, 188, 95, 191, 94, 190, 76, 172, 90, 186, 96, 192, 93, 189)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 210, 306)(204, 300, 219, 315)(206, 302, 221, 317)(207, 303, 224, 320)(209, 305, 227, 323)(212, 308, 226, 322)(213, 309, 234, 330)(215, 311, 236, 332)(216, 312, 230, 326)(217, 313, 239, 335)(218, 314, 242, 338)(220, 316, 245, 341)(222, 318, 247, 343)(223, 319, 248, 344)(225, 321, 251, 347)(228, 324, 250, 346)(229, 325, 258, 354)(231, 327, 254, 350)(232, 328, 261, 357)(233, 329, 262, 358)(235, 331, 265, 361)(237, 333, 264, 360)(238, 334, 268, 364)(240, 336, 252, 348)(241, 337, 270, 366)(243, 339, 271, 367)(244, 340, 269, 365)(246, 342, 257, 353)(249, 345, 274, 370)(253, 349, 277, 373)(255, 351, 275, 371)(256, 352, 280, 376)(259, 355, 282, 378)(260, 356, 284, 380)(263, 359, 283, 379)(266, 362, 285, 381)(267, 363, 276, 372)(272, 368, 281, 377)(273, 369, 286, 382)(278, 374, 287, 383)(279, 375, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 219)(14, 218)(15, 225)(16, 227)(17, 198)(18, 230)(19, 199)(20, 231)(21, 235)(22, 236)(23, 201)(24, 203)(25, 238)(26, 206)(27, 205)(28, 243)(29, 242)(30, 241)(31, 249)(32, 251)(33, 207)(34, 254)(35, 208)(36, 255)(37, 259)(38, 210)(39, 212)(40, 260)(41, 263)(42, 265)(43, 213)(44, 214)(45, 266)(46, 217)(47, 268)(48, 267)(49, 222)(50, 221)(51, 220)(52, 273)(53, 271)(54, 272)(55, 270)(56, 274)(57, 223)(58, 275)(59, 224)(60, 276)(61, 278)(62, 226)(63, 228)(64, 279)(65, 281)(66, 282)(67, 229)(68, 232)(69, 284)(70, 283)(71, 233)(72, 285)(73, 234)(74, 237)(75, 240)(76, 239)(77, 286)(78, 247)(79, 245)(80, 246)(81, 244)(82, 248)(83, 250)(84, 252)(85, 287)(86, 253)(87, 256)(88, 288)(89, 257)(90, 258)(91, 262)(92, 261)(93, 264)(94, 269)(95, 277)(96, 280)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1815
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1823 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y2 * Y3)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y3 * Y1 * Y2 * Y1^-1 * Y2, Y1^8, (Y2 * Y1^-4)^2, (Y2 * Y1^-1 * Y2 * Y1^-2)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 33, 129, 32, 128, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 43, 139, 60, 156, 50, 146, 26, 122, 11, 107)(4, 100, 12, 108, 27, 123, 51, 147, 61, 157, 35, 131, 17, 113, 8, 104)(7, 103, 18, 114, 39, 135, 69, 165, 59, 155, 74, 170, 42, 138, 20, 116)(10, 106, 24, 120, 47, 143, 81, 177, 89, 185, 76, 172, 45, 141, 23, 119)(13, 109, 29, 125, 54, 150, 64, 160, 34, 130, 62, 158, 56, 152, 30, 126)(16, 112, 36, 132, 65, 161, 58, 154, 31, 127, 57, 153, 68, 164, 38, 134)(19, 115, 22, 118, 46, 142, 79, 175, 86, 182, 85, 181, 71, 167, 41, 137)(25, 121, 28, 124, 53, 149, 88, 184, 75, 171, 63, 159, 66, 162, 48, 144)(37, 133, 40, 136, 72, 168, 55, 151, 52, 148, 87, 183, 91, 187, 67, 163)(44, 140, 77, 173, 92, 188, 70, 166, 49, 145, 84, 180, 90, 186, 73, 169)(78, 174, 80, 176, 96, 192, 83, 179, 82, 178, 93, 189, 94, 190, 95, 191)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 220, 316)(206, 302, 223, 319)(207, 303, 226, 322)(209, 305, 229, 325)(210, 306, 232, 328)(212, 308, 215, 311)(213, 309, 236, 332)(216, 312, 221, 317)(218, 314, 241, 337)(219, 315, 244, 340)(222, 318, 247, 343)(224, 320, 251, 347)(225, 321, 252, 348)(227, 323, 255, 351)(228, 324, 258, 354)(230, 326, 233, 329)(231, 327, 262, 358)(234, 330, 265, 361)(235, 331, 267, 363)(237, 333, 270, 366)(238, 334, 272, 368)(239, 335, 274, 370)(240, 336, 275, 371)(242, 338, 277, 373)(243, 339, 278, 374)(245, 341, 249, 345)(246, 342, 276, 372)(248, 344, 269, 365)(250, 346, 271, 367)(253, 349, 281, 377)(254, 350, 268, 364)(256, 352, 259, 355)(257, 353, 282, 378)(260, 356, 284, 380)(261, 357, 273, 369)(263, 359, 285, 381)(264, 360, 286, 382)(266, 362, 279, 375)(280, 376, 287, 383)(283, 379, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 220)(14, 219)(15, 227)(16, 229)(17, 198)(18, 233)(19, 199)(20, 214)(21, 237)(22, 212)(23, 201)(24, 203)(25, 221)(26, 239)(27, 206)(28, 205)(29, 217)(30, 245)(31, 244)(32, 243)(33, 253)(34, 255)(35, 207)(36, 259)(37, 208)(38, 232)(39, 263)(40, 230)(41, 210)(42, 238)(43, 268)(44, 270)(45, 213)(46, 234)(47, 218)(48, 246)(49, 274)(50, 273)(51, 224)(52, 223)(53, 222)(54, 240)(55, 249)(56, 280)(57, 247)(58, 279)(59, 278)(60, 281)(61, 225)(62, 267)(63, 226)(64, 258)(65, 283)(66, 256)(67, 228)(68, 264)(69, 277)(70, 285)(71, 231)(72, 260)(73, 272)(74, 271)(75, 254)(76, 235)(77, 287)(78, 236)(79, 266)(80, 265)(81, 242)(82, 241)(83, 276)(84, 275)(85, 261)(86, 251)(87, 250)(88, 248)(89, 252)(90, 288)(91, 257)(92, 286)(93, 262)(94, 284)(95, 269)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1817
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1824 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2 * Y3 * Y2)^2, (Y2 * Y1 * Y2 * Y3)^2, Y1^8, Y1^3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2, (Y2 * Y1^2 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 33, 129, 32, 128, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 45, 141, 68, 164, 56, 152, 26, 122, 11, 107)(4, 100, 12, 108, 27, 123, 57, 153, 69, 165, 35, 131, 17, 113, 8, 104)(7, 103, 18, 114, 39, 135, 49, 145, 67, 163, 80, 176, 44, 140, 20, 116)(10, 106, 24, 120, 51, 147, 43, 139, 78, 174, 62, 158, 47, 143, 23, 119)(13, 109, 29, 125, 61, 157, 70, 166, 34, 130, 52, 148, 64, 160, 30, 126)(16, 112, 36, 132, 71, 167, 66, 162, 31, 127, 65, 161, 74, 170, 38, 134)(19, 115, 42, 138, 77, 173, 73, 169, 50, 146, 22, 118, 48, 144, 41, 137)(25, 121, 53, 149, 85, 181, 89, 185, 60, 156, 28, 124, 59, 155, 54, 150)(37, 133, 72, 168, 91, 187, 88, 184, 58, 154, 40, 136, 76, 172, 63, 159)(46, 142, 81, 177, 92, 188, 75, 171, 55, 151, 87, 183, 90, 186, 79, 175)(82, 178, 94, 190, 93, 189, 96, 192, 84, 180, 83, 179, 95, 191, 86, 182)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 220, 316)(206, 302, 223, 319)(207, 303, 226, 322)(209, 305, 229, 325)(210, 306, 232, 328)(212, 308, 235, 331)(213, 309, 238, 334)(215, 311, 241, 337)(216, 312, 244, 340)(218, 314, 247, 343)(219, 315, 250, 346)(221, 317, 254, 350)(222, 318, 255, 351)(224, 320, 259, 355)(225, 321, 260, 356)(227, 323, 245, 341)(228, 324, 251, 347)(230, 326, 265, 361)(231, 327, 267, 363)(233, 329, 258, 354)(234, 330, 248, 344)(236, 332, 271, 367)(237, 333, 252, 348)(239, 335, 274, 370)(240, 336, 275, 371)(242, 338, 249, 345)(243, 339, 276, 372)(246, 342, 278, 374)(253, 349, 279, 375)(256, 352, 273, 369)(257, 353, 277, 373)(261, 357, 270, 366)(262, 358, 280, 376)(263, 359, 282, 378)(264, 360, 272, 368)(266, 362, 284, 380)(268, 364, 285, 381)(269, 365, 286, 382)(281, 377, 288, 384)(283, 379, 287, 383)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 220)(14, 219)(15, 227)(16, 229)(17, 198)(18, 233)(19, 199)(20, 234)(21, 239)(22, 241)(23, 201)(24, 203)(25, 244)(26, 243)(27, 206)(28, 205)(29, 252)(30, 251)(31, 250)(32, 249)(33, 261)(34, 245)(35, 207)(36, 255)(37, 208)(38, 264)(39, 240)(40, 258)(41, 210)(42, 212)(43, 248)(44, 269)(45, 254)(46, 274)(47, 213)(48, 231)(49, 214)(50, 259)(51, 218)(52, 217)(53, 226)(54, 256)(55, 276)(56, 235)(57, 224)(58, 223)(59, 222)(60, 221)(61, 281)(62, 237)(63, 228)(64, 246)(65, 280)(66, 232)(67, 242)(68, 270)(69, 225)(70, 277)(71, 268)(72, 230)(73, 272)(74, 283)(75, 275)(76, 263)(77, 236)(78, 260)(79, 286)(80, 265)(81, 278)(82, 238)(83, 267)(84, 247)(85, 262)(86, 273)(87, 288)(88, 257)(89, 253)(90, 285)(91, 266)(92, 287)(93, 282)(94, 271)(95, 284)(96, 279)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1818
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1825 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3^-1)^2, R * Y2 * R * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y2, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-3, Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^2 * Y2 * Y3, Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2, Y1^8, (Y3 * Y1^-3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 21, 117, 56, 152, 53, 149, 19, 115, 5, 101)(3, 99, 11, 107, 31, 127, 43, 139, 66, 162, 26, 122, 39, 135, 13, 109)(4, 100, 15, 111, 41, 137, 37, 133, 80, 176, 58, 154, 45, 141, 16, 112)(6, 102, 20, 116, 54, 150, 76, 172, 89, 185, 72, 168, 29, 125, 9, 105)(8, 104, 25, 121, 64, 160, 70, 166, 34, 130, 59, 155, 68, 164, 27, 123)(10, 106, 30, 126, 73, 169, 52, 148, 32, 128, 75, 171, 62, 158, 23, 119)(12, 108, 35, 131, 47, 143, 17, 113, 46, 142, 86, 182, 79, 175, 36, 132)(14, 110, 40, 136, 65, 161, 28, 124, 69, 165, 48, 144, 61, 157, 33, 129)(18, 114, 49, 145, 90, 186, 88, 184, 57, 153, 24, 120, 63, 159, 50, 146)(22, 118, 42, 138, 85, 181, 91, 187, 51, 147, 78, 174, 93, 189, 60, 156)(38, 134, 67, 163, 92, 188, 83, 179, 55, 151, 74, 170, 95, 191, 81, 177)(44, 140, 87, 183, 96, 192, 71, 167, 77, 173, 84, 180, 94, 190, 82, 178)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 214, 310)(201, 297, 220, 316)(202, 298, 218, 314)(203, 299, 224, 320)(205, 301, 229, 325)(207, 303, 234, 330)(208, 304, 235, 331)(210, 306, 240, 336)(211, 307, 243, 339)(212, 308, 247, 343)(213, 309, 228, 324)(215, 311, 253, 349)(216, 312, 251, 347)(217, 313, 241, 337)(219, 315, 246, 342)(221, 317, 262, 358)(222, 318, 266, 362)(223, 319, 263, 359)(225, 321, 268, 364)(226, 322, 245, 341)(227, 323, 269, 365)(230, 326, 264, 360)(231, 327, 274, 370)(232, 328, 249, 345)(233, 329, 275, 371)(236, 332, 278, 374)(237, 333, 273, 369)(238, 334, 281, 377)(239, 335, 280, 376)(242, 338, 271, 367)(244, 340, 257, 353)(248, 344, 258, 354)(250, 346, 270, 366)(252, 348, 265, 361)(254, 350, 283, 379)(255, 351, 287, 383)(256, 352, 286, 382)(259, 355, 267, 363)(260, 356, 288, 384)(261, 357, 272, 368)(276, 372, 285, 381)(277, 373, 279, 375)(282, 378, 284, 380)
	L = (1, 196)(2, 201)(3, 204)(4, 198)(5, 210)(6, 193)(7, 215)(8, 218)(9, 202)(10, 194)(11, 225)(12, 206)(13, 230)(14, 195)(15, 197)(16, 236)(17, 234)(18, 207)(19, 244)(20, 208)(21, 249)(22, 251)(23, 216)(24, 199)(25, 257)(26, 220)(27, 259)(28, 200)(29, 263)(30, 221)(31, 262)(32, 245)(33, 226)(34, 203)(35, 205)(36, 270)(37, 269)(38, 227)(39, 219)(40, 228)(41, 242)(42, 240)(43, 247)(44, 212)(45, 280)(46, 261)(47, 273)(48, 209)(49, 211)(50, 276)(51, 217)(52, 241)(53, 268)(54, 274)(55, 278)(56, 272)(57, 250)(58, 213)(59, 253)(60, 284)(61, 214)(62, 286)(63, 254)(64, 283)(65, 243)(66, 238)(67, 231)(68, 252)(69, 258)(70, 266)(71, 222)(72, 229)(73, 288)(74, 223)(75, 246)(76, 224)(77, 264)(78, 232)(79, 275)(80, 281)(81, 277)(82, 267)(83, 285)(84, 233)(85, 239)(86, 235)(87, 237)(88, 279)(89, 248)(90, 265)(91, 287)(92, 260)(93, 271)(94, 255)(95, 256)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1819
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1826 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y1 * Y3)^2, Y3^4, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y3^-1, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1, Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 16, 112, 28, 124, 19, 115, 5, 101)(3, 99, 11, 107, 29, 125, 55, 151, 34, 130, 61, 157, 37, 133, 13, 109)(4, 100, 15, 111, 23, 119, 9, 105, 6, 102, 18, 114, 22, 118, 10, 106)(8, 104, 24, 120, 48, 144, 60, 156, 53, 149, 81, 177, 54, 150, 26, 122)(12, 108, 33, 129, 58, 154, 31, 127, 14, 110, 36, 132, 57, 153, 32, 128)(17, 113, 39, 135, 67, 163, 73, 169, 43, 139, 62, 158, 70, 166, 40, 136)(21, 117, 44, 140, 74, 170, 72, 168, 42, 138, 71, 167, 77, 173, 46, 142)(25, 121, 52, 148, 79, 175, 50, 146, 27, 123, 30, 126, 59, 155, 51, 147)(35, 131, 41, 137, 69, 165, 89, 185, 66, 162, 38, 134, 65, 161, 63, 159)(45, 141, 76, 172, 91, 187, 75, 171, 47, 143, 49, 145, 80, 176, 68, 164)(56, 152, 83, 179, 92, 188, 78, 174, 64, 160, 88, 184, 90, 186, 82, 178)(84, 180, 93, 189, 96, 192, 95, 191, 85, 181, 86, 182, 94, 190, 87, 183)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 222, 318)(205, 301, 227, 323)(207, 303, 230, 326)(208, 304, 226, 322)(210, 306, 233, 329)(211, 307, 234, 330)(212, 308, 235, 331)(214, 310, 239, 335)(215, 311, 237, 333)(216, 312, 241, 337)(218, 314, 223, 319)(220, 316, 245, 341)(221, 317, 248, 344)(224, 320, 252, 348)(225, 321, 254, 350)(228, 324, 231, 327)(229, 325, 256, 352)(232, 328, 260, 356)(236, 332, 257, 353)(238, 334, 242, 338)(240, 336, 270, 366)(243, 339, 264, 360)(244, 340, 253, 349)(246, 342, 274, 370)(247, 343, 258, 354)(249, 345, 277, 373)(250, 346, 276, 372)(251, 347, 278, 374)(255, 351, 279, 375)(259, 355, 280, 376)(261, 357, 263, 359)(262, 358, 275, 371)(265, 361, 267, 363)(266, 362, 282, 378)(268, 364, 273, 369)(269, 365, 284, 380)(271, 367, 285, 381)(272, 368, 286, 382)(281, 377, 287, 383)(283, 379, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 223)(12, 226)(13, 228)(14, 195)(15, 197)(16, 198)(17, 230)(18, 212)(19, 215)(20, 207)(21, 237)(22, 211)(23, 199)(24, 242)(25, 245)(26, 222)(27, 200)(28, 202)(29, 249)(30, 252)(31, 253)(32, 203)(33, 205)(34, 206)(35, 254)(36, 247)(37, 250)(38, 235)(39, 227)(40, 261)(41, 209)(42, 239)(43, 233)(44, 267)(45, 234)(46, 241)(47, 213)(48, 251)(49, 264)(50, 273)(51, 216)(52, 218)(53, 219)(54, 271)(55, 225)(56, 276)(57, 229)(58, 221)(59, 246)(60, 244)(61, 224)(62, 258)(63, 259)(64, 277)(65, 232)(66, 231)(67, 281)(68, 236)(69, 265)(70, 255)(71, 260)(72, 268)(73, 257)(74, 272)(75, 263)(76, 238)(77, 283)(78, 285)(79, 240)(80, 269)(81, 243)(82, 278)(83, 287)(84, 256)(85, 248)(86, 270)(87, 275)(88, 279)(89, 262)(90, 288)(91, 266)(92, 286)(93, 274)(94, 282)(95, 280)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1820
Graph:: simple bipartite
	v = 60 e = 192 f = 96
	degree seq :: [ 4^48, 16^12 ]

E19.1827 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1484>$ (small group id <192, 1484>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^4, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2, Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1, Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 107, 11, 101)(6, 109, 13, 102)(8, 113, 17, 104)(10, 117, 21, 106)(12, 121, 25, 108)(14, 125, 29, 110)(15, 127, 31, 111)(16, 129, 33, 112)(18, 133, 37, 114)(19, 135, 39, 115)(20, 137, 41, 116)(22, 141, 45, 118)(23, 142, 46, 119)(24, 144, 48, 120)(26, 148, 52, 122)(27, 150, 54, 123)(28, 152, 56, 124)(30, 156, 60, 126)(32, 155, 59, 128)(34, 147, 51, 130)(35, 153, 57, 131)(36, 145, 49, 132)(38, 149, 53, 134)(40, 154, 58, 136)(42, 146, 50, 138)(43, 151, 55, 139)(44, 143, 47, 140)(61, 180, 84, 157)(62, 173, 77, 158)(63, 182, 86, 159)(64, 172, 76, 160)(65, 170, 74, 161)(66, 184, 88, 162)(67, 176, 80, 163)(68, 175, 79, 164)(69, 183, 87, 165)(70, 181, 85, 166)(71, 179, 83, 167)(72, 169, 73, 168)(75, 186, 90, 171)(78, 188, 92, 174)(81, 187, 91, 177)(82, 185, 89, 178)(93, 192, 96, 189)(94, 191, 95, 190)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 34)(17, 35)(20, 42)(21, 43)(22, 38)(24, 49)(25, 50)(28, 57)(29, 58)(30, 53)(31, 61)(32, 63)(33, 64)(36, 68)(37, 69)(39, 65)(40, 70)(41, 62)(44, 67)(45, 66)(46, 73)(47, 75)(48, 76)(51, 80)(52, 81)(54, 77)(55, 82)(56, 74)(59, 79)(60, 78)(71, 86)(72, 88)(83, 90)(84, 92)(85, 93)(87, 94)(89, 95)(91, 96)(97, 100)(98, 102)(99, 104)(101, 108)(103, 112)(105, 116)(106, 118)(107, 120)(109, 124)(110, 126)(111, 128)(113, 132)(114, 134)(115, 136)(117, 140)(119, 143)(121, 147)(122, 149)(123, 151)(125, 155)(127, 158)(129, 161)(130, 162)(131, 163)(133, 166)(135, 167)(137, 168)(138, 165)(139, 164)(141, 159)(142, 170)(144, 173)(145, 174)(146, 175)(148, 178)(150, 179)(152, 180)(153, 177)(154, 176)(156, 171)(157, 181)(160, 183)(169, 185)(172, 187)(182, 190)(184, 189)(186, 192)(188, 191)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1828
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 12
	degree seq :: [ 4^48 ]

E19.1828 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1484>$ (small group id <192, 1484>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y2 * Y3)^2, (Y3 * Y1 * Y2)^2, Y1^-1 * Y3 * Y1^-2 * Y2 * Y1^-1, Y1 * Y3 * Y2 * Y3 * Y2 * Y1^3, Y1^8, (Y2 * Y1 * Y2 * Y1^-1)^3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 114, 18, 138, 42, 137, 41, 113, 17, 101, 5, 97)(3, 105, 9, 123, 27, 153, 57, 133, 37, 144, 48, 116, 20, 107, 11, 99)(4, 108, 12, 130, 34, 155, 59, 127, 31, 142, 46, 115, 19, 110, 14, 100)(7, 117, 21, 112, 16, 136, 40, 151, 55, 166, 70, 140, 44, 119, 23, 103)(8, 120, 24, 111, 15, 135, 39, 147, 51, 165, 69, 139, 43, 122, 26, 104)(10, 126, 30, 143, 47, 118, 22, 109, 13, 132, 36, 141, 45, 121, 25, 106)(28, 154, 58, 129, 33, 160, 64, 134, 38, 162, 66, 167, 71, 156, 60, 124)(29, 157, 61, 128, 32, 159, 63, 168, 72, 161, 65, 131, 35, 158, 62, 125)(49, 169, 73, 149, 53, 174, 78, 152, 56, 176, 80, 164, 68, 170, 74, 145)(50, 171, 75, 148, 52, 173, 77, 163, 67, 175, 79, 150, 54, 172, 76, 146)(81, 190, 94, 180, 84, 192, 96, 182, 86, 185, 89, 184, 88, 188, 92, 177)(82, 187, 91, 179, 83, 191, 95, 183, 87, 189, 93, 181, 85, 186, 90, 178)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 31)(11, 32)(12, 33)(14, 29)(16, 30)(17, 34)(18, 43)(20, 47)(21, 49)(22, 51)(23, 52)(24, 53)(26, 50)(27, 45)(35, 57)(36, 44)(37, 42)(38, 48)(39, 67)(40, 54)(41, 55)(46, 71)(56, 70)(58, 81)(59, 72)(60, 83)(61, 84)(62, 82)(63, 87)(64, 85)(65, 88)(66, 86)(68, 69)(73, 89)(74, 91)(75, 92)(76, 90)(77, 95)(78, 93)(79, 96)(80, 94)(97, 100)(98, 104)(99, 106)(101, 112)(102, 116)(103, 118)(105, 125)(107, 129)(108, 131)(109, 133)(110, 134)(111, 132)(113, 123)(114, 140)(115, 141)(117, 146)(119, 149)(120, 150)(121, 151)(122, 152)(124, 155)(126, 139)(127, 138)(128, 142)(130, 143)(135, 145)(136, 164)(137, 147)(144, 168)(148, 165)(153, 167)(154, 178)(156, 180)(157, 181)(158, 182)(159, 177)(160, 184)(161, 179)(162, 183)(163, 166)(169, 186)(170, 188)(171, 189)(172, 190)(173, 185)(174, 192)(175, 187)(176, 191)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1827
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 96 f = 48
	degree seq :: [ 16^12 ]

E19.1829 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1484>$ (small group id <192, 1484>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^4, (Y3 * Y2 * Y1 * Y2 * Y1)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 8, 104)(5, 101, 12, 108)(7, 103, 16, 112)(9, 105, 20, 116)(10, 106, 22, 118)(11, 107, 24, 120)(13, 109, 28, 124)(14, 110, 30, 126)(15, 111, 31, 127)(17, 113, 35, 131)(18, 114, 37, 133)(19, 115, 39, 135)(21, 117, 43, 139)(23, 119, 46, 142)(25, 121, 50, 146)(26, 122, 52, 148)(27, 123, 54, 150)(29, 125, 58, 154)(32, 128, 61, 157)(33, 129, 62, 158)(34, 130, 63, 159)(36, 132, 65, 161)(38, 134, 67, 163)(40, 136, 68, 164)(41, 137, 69, 165)(42, 138, 70, 166)(44, 140, 71, 167)(45, 141, 72, 168)(47, 143, 73, 169)(48, 144, 74, 170)(49, 145, 75, 171)(51, 147, 77, 173)(53, 149, 79, 175)(55, 151, 80, 176)(56, 152, 81, 177)(57, 153, 82, 178)(59, 155, 83, 179)(60, 156, 84, 180)(64, 160, 87, 183)(66, 162, 88, 184)(76, 172, 91, 187)(78, 174, 92, 188)(85, 181, 93, 189)(86, 182, 94, 190)(89, 185, 95, 191)(90, 186, 96, 192)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 213)(204, 217)(206, 221)(207, 215)(208, 224)(210, 228)(211, 230)(212, 232)(214, 236)(216, 239)(218, 243)(219, 245)(220, 247)(222, 251)(223, 249)(225, 241)(226, 240)(227, 252)(229, 248)(231, 257)(233, 244)(234, 238)(235, 255)(237, 242)(246, 269)(250, 267)(253, 277)(254, 278)(256, 271)(258, 274)(259, 268)(260, 280)(261, 275)(262, 270)(263, 273)(264, 276)(265, 281)(266, 282)(272, 284)(279, 286)(283, 288)(285, 287)(289, 291)(290, 293)(292, 298)(294, 302)(295, 303)(296, 306)(297, 307)(299, 311)(300, 314)(301, 315)(304, 321)(305, 322)(308, 329)(309, 330)(310, 333)(312, 336)(313, 337)(316, 344)(317, 345)(318, 348)(319, 341)(320, 339)(323, 352)(324, 335)(325, 354)(326, 334)(327, 346)(328, 350)(331, 342)(332, 349)(338, 364)(340, 366)(343, 362)(347, 361)(351, 363)(353, 365)(355, 373)(356, 372)(357, 369)(358, 374)(359, 375)(360, 368)(367, 377)(370, 378)(371, 379)(376, 381)(380, 383)(382, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1832
Graph:: simple bipartite
	v = 144 e = 192 f = 12
	degree seq :: [ 2^96, 4^48 ]

E19.1830 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1484>$ (small group id <192, 1484>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1 * Y2)^2, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, (Y1 * Y3^-1 * Y2)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3^3 * Y1, (Y2 * Y1)^4, Y3^8, (Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1)^2 ]
Map:: polytopal
	R = (1, 97, 4, 100, 14, 110, 38, 134, 42, 138, 41, 137, 17, 113, 5, 101)(2, 98, 7, 103, 23, 119, 53, 149, 27, 123, 56, 152, 26, 122, 8, 104)(3, 99, 10, 106, 31, 127, 44, 140, 18, 114, 43, 139, 33, 129, 11, 107)(6, 102, 19, 115, 46, 142, 29, 125, 9, 105, 28, 124, 48, 144, 20, 116)(12, 108, 34, 130, 16, 112, 40, 136, 47, 143, 72, 168, 57, 153, 35, 131)(13, 109, 36, 132, 15, 111, 39, 135, 58, 154, 71, 167, 45, 141, 37, 133)(21, 117, 49, 145, 25, 121, 55, 151, 32, 128, 60, 156, 69, 165, 50, 146)(22, 118, 51, 147, 24, 120, 54, 150, 70, 166, 59, 155, 30, 126, 52, 148)(61, 157, 81, 177, 64, 160, 86, 182, 66, 162, 88, 184, 68, 164, 82, 178)(62, 158, 83, 179, 63, 159, 85, 181, 67, 163, 87, 183, 65, 161, 84, 180)(73, 169, 89, 185, 76, 172, 94, 190, 78, 174, 96, 192, 80, 176, 90, 186)(74, 170, 91, 187, 75, 171, 93, 189, 79, 175, 95, 191, 77, 173, 92, 188)(193, 194)(195, 201)(196, 204)(197, 207)(198, 210)(199, 213)(200, 216)(202, 217)(203, 214)(205, 212)(206, 225)(208, 211)(209, 223)(215, 240)(218, 238)(219, 234)(220, 249)(221, 250)(222, 245)(224, 248)(226, 253)(227, 255)(228, 256)(229, 254)(230, 237)(231, 259)(232, 257)(233, 239)(235, 261)(236, 262)(241, 265)(242, 267)(243, 268)(244, 266)(246, 271)(247, 269)(251, 272)(252, 270)(258, 264)(260, 263)(273, 288)(274, 283)(275, 282)(276, 284)(277, 285)(278, 287)(279, 286)(280, 281)(289, 291)(290, 294)(292, 301)(293, 304)(295, 310)(296, 313)(297, 315)(298, 318)(299, 320)(300, 317)(302, 314)(303, 316)(305, 311)(306, 330)(307, 333)(308, 335)(309, 332)(312, 331)(319, 334)(321, 336)(322, 350)(323, 352)(324, 353)(325, 354)(326, 345)(327, 349)(328, 356)(329, 346)(337, 362)(338, 364)(339, 365)(340, 366)(341, 357)(342, 361)(343, 368)(344, 358)(347, 363)(348, 367)(351, 359)(355, 360)(369, 380)(370, 378)(371, 383)(372, 377)(373, 384)(374, 382)(375, 379)(376, 381)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E19.1831
Graph:: simple bipartite
	v = 108 e = 192 f = 48
	degree seq :: [ 2^96, 16^12 ]

E19.1831 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1484>$ (small group id <192, 1484>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^4, (Y3 * Y2 * Y1 * Y2 * Y1)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 8, 104, 200, 296)(5, 101, 197, 293, 12, 108, 204, 300)(7, 103, 199, 295, 16, 112, 208, 304)(9, 105, 201, 297, 20, 116, 212, 308)(10, 106, 202, 298, 22, 118, 214, 310)(11, 107, 203, 299, 24, 120, 216, 312)(13, 109, 205, 301, 28, 124, 220, 316)(14, 110, 206, 302, 30, 126, 222, 318)(15, 111, 207, 303, 31, 127, 223, 319)(17, 113, 209, 305, 35, 131, 227, 323)(18, 114, 210, 306, 37, 133, 229, 325)(19, 115, 211, 307, 39, 135, 231, 327)(21, 117, 213, 309, 43, 139, 235, 331)(23, 119, 215, 311, 46, 142, 238, 334)(25, 121, 217, 313, 50, 146, 242, 338)(26, 122, 218, 314, 52, 148, 244, 340)(27, 123, 219, 315, 54, 150, 246, 342)(29, 125, 221, 317, 58, 154, 250, 346)(32, 128, 224, 320, 61, 157, 253, 349)(33, 129, 225, 321, 62, 158, 254, 350)(34, 130, 226, 322, 63, 159, 255, 351)(36, 132, 228, 324, 65, 161, 257, 353)(38, 134, 230, 326, 67, 163, 259, 355)(40, 136, 232, 328, 68, 164, 260, 356)(41, 137, 233, 329, 69, 165, 261, 357)(42, 138, 234, 330, 70, 166, 262, 358)(44, 140, 236, 332, 71, 167, 263, 359)(45, 141, 237, 333, 72, 168, 264, 360)(47, 143, 239, 335, 73, 169, 265, 361)(48, 144, 240, 336, 74, 170, 266, 362)(49, 145, 241, 337, 75, 171, 267, 363)(51, 147, 243, 339, 77, 173, 269, 365)(53, 149, 245, 341, 79, 175, 271, 367)(55, 151, 247, 343, 80, 176, 272, 368)(56, 152, 248, 344, 81, 177, 273, 369)(57, 153, 249, 345, 82, 178, 274, 370)(59, 155, 251, 347, 83, 179, 275, 371)(60, 156, 252, 348, 84, 180, 276, 372)(64, 160, 256, 352, 87, 183, 279, 375)(66, 162, 258, 354, 88, 184, 280, 376)(76, 172, 268, 364, 91, 187, 283, 379)(78, 174, 270, 366, 92, 188, 284, 380)(85, 181, 277, 373, 93, 189, 285, 381)(86, 182, 278, 374, 94, 190, 286, 382)(89, 185, 281, 377, 95, 191, 287, 383)(90, 186, 282, 378, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 121)(13, 102)(14, 125)(15, 119)(16, 128)(17, 104)(18, 132)(19, 134)(20, 136)(21, 106)(22, 140)(23, 111)(24, 143)(25, 108)(26, 147)(27, 149)(28, 151)(29, 110)(30, 155)(31, 153)(32, 112)(33, 145)(34, 144)(35, 156)(36, 114)(37, 152)(38, 115)(39, 161)(40, 116)(41, 148)(42, 142)(43, 159)(44, 118)(45, 146)(46, 138)(47, 120)(48, 130)(49, 129)(50, 141)(51, 122)(52, 137)(53, 123)(54, 173)(55, 124)(56, 133)(57, 127)(58, 171)(59, 126)(60, 131)(61, 181)(62, 182)(63, 139)(64, 175)(65, 135)(66, 178)(67, 172)(68, 184)(69, 179)(70, 174)(71, 177)(72, 180)(73, 185)(74, 186)(75, 154)(76, 163)(77, 150)(78, 166)(79, 160)(80, 188)(81, 167)(82, 162)(83, 165)(84, 168)(85, 157)(86, 158)(87, 190)(88, 164)(89, 169)(90, 170)(91, 192)(92, 176)(93, 191)(94, 183)(95, 189)(96, 187)(193, 291)(194, 293)(195, 289)(196, 298)(197, 290)(198, 302)(199, 303)(200, 306)(201, 307)(202, 292)(203, 311)(204, 314)(205, 315)(206, 294)(207, 295)(208, 321)(209, 322)(210, 296)(211, 297)(212, 329)(213, 330)(214, 333)(215, 299)(216, 336)(217, 337)(218, 300)(219, 301)(220, 344)(221, 345)(222, 348)(223, 341)(224, 339)(225, 304)(226, 305)(227, 352)(228, 335)(229, 354)(230, 334)(231, 346)(232, 350)(233, 308)(234, 309)(235, 342)(236, 349)(237, 310)(238, 326)(239, 324)(240, 312)(241, 313)(242, 364)(243, 320)(244, 366)(245, 319)(246, 331)(247, 362)(248, 316)(249, 317)(250, 327)(251, 361)(252, 318)(253, 332)(254, 328)(255, 363)(256, 323)(257, 365)(258, 325)(259, 373)(260, 372)(261, 369)(262, 374)(263, 375)(264, 368)(265, 347)(266, 343)(267, 351)(268, 338)(269, 353)(270, 340)(271, 377)(272, 360)(273, 357)(274, 378)(275, 379)(276, 356)(277, 355)(278, 358)(279, 359)(280, 381)(281, 367)(282, 370)(283, 371)(284, 383)(285, 376)(286, 384)(287, 380)(288, 382)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.1830
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 108
	degree seq :: [ 8^48 ]

E19.1832 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1484>$ (small group id <192, 1484>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1 * Y2)^2, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, (Y1 * Y3^-1 * Y2)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3^3 * Y1, (Y2 * Y1)^4, Y3^8, (Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 14, 110, 206, 302, 38, 134, 230, 326, 42, 138, 234, 330, 41, 137, 233, 329, 17, 113, 209, 305, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 23, 119, 215, 311, 53, 149, 245, 341, 27, 123, 219, 315, 56, 152, 248, 344, 26, 122, 218, 314, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 31, 127, 223, 319, 44, 140, 236, 332, 18, 114, 210, 306, 43, 139, 235, 331, 33, 129, 225, 321, 11, 107, 203, 299)(6, 102, 198, 294, 19, 115, 211, 307, 46, 142, 238, 334, 29, 125, 221, 317, 9, 105, 201, 297, 28, 124, 220, 316, 48, 144, 240, 336, 20, 116, 212, 308)(12, 108, 204, 300, 34, 130, 226, 322, 16, 112, 208, 304, 40, 136, 232, 328, 47, 143, 239, 335, 72, 168, 264, 360, 57, 153, 249, 345, 35, 131, 227, 323)(13, 109, 205, 301, 36, 132, 228, 324, 15, 111, 207, 303, 39, 135, 231, 327, 58, 154, 250, 346, 71, 167, 263, 359, 45, 141, 237, 333, 37, 133, 229, 325)(21, 117, 213, 309, 49, 145, 241, 337, 25, 121, 217, 313, 55, 151, 247, 343, 32, 128, 224, 320, 60, 156, 252, 348, 69, 165, 261, 357, 50, 146, 242, 338)(22, 118, 214, 310, 51, 147, 243, 339, 24, 120, 216, 312, 54, 150, 246, 342, 70, 166, 262, 358, 59, 155, 251, 347, 30, 126, 222, 318, 52, 148, 244, 340)(61, 157, 253, 349, 81, 177, 273, 369, 64, 160, 256, 352, 86, 182, 278, 374, 66, 162, 258, 354, 88, 184, 280, 376, 68, 164, 260, 356, 82, 178, 274, 370)(62, 158, 254, 350, 83, 179, 275, 371, 63, 159, 255, 351, 85, 181, 277, 373, 67, 163, 259, 355, 87, 183, 279, 375, 65, 161, 257, 353, 84, 180, 276, 372)(73, 169, 265, 361, 89, 185, 281, 377, 76, 172, 268, 364, 94, 190, 286, 382, 78, 174, 270, 366, 96, 192, 288, 384, 80, 176, 272, 368, 90, 186, 282, 378)(74, 170, 266, 362, 91, 187, 283, 379, 75, 171, 267, 363, 93, 189, 285, 381, 79, 175, 271, 367, 95, 191, 287, 383, 77, 173, 269, 365, 92, 188, 284, 380)
	L = (1, 98)(2, 97)(3, 105)(4, 108)(5, 111)(6, 114)(7, 117)(8, 120)(9, 99)(10, 121)(11, 118)(12, 100)(13, 116)(14, 129)(15, 101)(16, 115)(17, 127)(18, 102)(19, 112)(20, 109)(21, 103)(22, 107)(23, 144)(24, 104)(25, 106)(26, 142)(27, 138)(28, 153)(29, 154)(30, 149)(31, 113)(32, 152)(33, 110)(34, 157)(35, 159)(36, 160)(37, 158)(38, 141)(39, 163)(40, 161)(41, 143)(42, 123)(43, 165)(44, 166)(45, 134)(46, 122)(47, 137)(48, 119)(49, 169)(50, 171)(51, 172)(52, 170)(53, 126)(54, 175)(55, 173)(56, 128)(57, 124)(58, 125)(59, 176)(60, 174)(61, 130)(62, 133)(63, 131)(64, 132)(65, 136)(66, 168)(67, 135)(68, 167)(69, 139)(70, 140)(71, 164)(72, 162)(73, 145)(74, 148)(75, 146)(76, 147)(77, 151)(78, 156)(79, 150)(80, 155)(81, 192)(82, 187)(83, 186)(84, 188)(85, 189)(86, 191)(87, 190)(88, 185)(89, 184)(90, 179)(91, 178)(92, 180)(93, 181)(94, 183)(95, 182)(96, 177)(193, 291)(194, 294)(195, 289)(196, 301)(197, 304)(198, 290)(199, 310)(200, 313)(201, 315)(202, 318)(203, 320)(204, 317)(205, 292)(206, 314)(207, 316)(208, 293)(209, 311)(210, 330)(211, 333)(212, 335)(213, 332)(214, 295)(215, 305)(216, 331)(217, 296)(218, 302)(219, 297)(220, 303)(221, 300)(222, 298)(223, 334)(224, 299)(225, 336)(226, 350)(227, 352)(228, 353)(229, 354)(230, 345)(231, 349)(232, 356)(233, 346)(234, 306)(235, 312)(236, 309)(237, 307)(238, 319)(239, 308)(240, 321)(241, 362)(242, 364)(243, 365)(244, 366)(245, 357)(246, 361)(247, 368)(248, 358)(249, 326)(250, 329)(251, 363)(252, 367)(253, 327)(254, 322)(255, 359)(256, 323)(257, 324)(258, 325)(259, 360)(260, 328)(261, 341)(262, 344)(263, 351)(264, 355)(265, 342)(266, 337)(267, 347)(268, 338)(269, 339)(270, 340)(271, 348)(272, 343)(273, 380)(274, 378)(275, 383)(276, 377)(277, 384)(278, 382)(279, 379)(280, 381)(281, 372)(282, 370)(283, 375)(284, 369)(285, 376)(286, 374)(287, 371)(288, 373)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.1829
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 192 f = 144
	degree seq :: [ 32^12 ]

E19.1833 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 24})
Quotient :: regular
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 52>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-3 * T2 * T1^4 * T2 * T1^-1, (T2 * T1^-2 * T2 * T1^2)^2, (T1^-5 * T2 * T1^-1)^2, T1^24 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 66, 85, 78, 59, 35, 53, 74, 56, 32, 52, 73, 91, 84, 65, 42, 22, 10, 4)(3, 7, 15, 31, 44, 68, 88, 82, 63, 40, 21, 39, 50, 26, 12, 25, 47, 72, 86, 80, 61, 36, 18, 8)(6, 13, 27, 51, 67, 87, 81, 62, 38, 20, 9, 19, 37, 46, 24, 45, 69, 90, 83, 64, 41, 54, 30, 14)(16, 28, 48, 70, 89, 95, 93, 77, 58, 34, 17, 29, 49, 71, 55, 75, 92, 96, 94, 79, 60, 76, 57, 33)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 55)(36, 60)(37, 56)(38, 59)(39, 57)(40, 58)(42, 61)(43, 67)(45, 70)(46, 71)(47, 73)(50, 74)(51, 75)(54, 76)(62, 79)(63, 78)(64, 77)(65, 81)(66, 86)(68, 89)(69, 91)(72, 92)(80, 93)(82, 94)(83, 85)(84, 88)(87, 95)(90, 96)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1834
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.1834 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 24})
Quotient :: regular
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 52>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T1^12, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2, T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-8 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 64, 60, 43, 28, 17, 8)(6, 13, 21, 34, 48, 65, 63, 45, 30, 18, 9, 14)(15, 25, 35, 51, 66, 82, 78, 59, 42, 27, 16, 26)(23, 36, 50, 67, 81, 80, 62, 44, 29, 38, 24, 37)(39, 55, 68, 84, 92, 90, 77, 58, 41, 57, 40, 56)(52, 69, 83, 93, 91, 79, 61, 72, 54, 71, 53, 70)(73, 85, 94, 96, 95, 89, 76, 88, 75, 87, 74, 86)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 61)(45, 62)(46, 63)(47, 64)(49, 66)(51, 68)(55, 73)(56, 74)(57, 75)(58, 76)(59, 77)(60, 78)(65, 81)(67, 83)(69, 85)(70, 86)(71, 87)(72, 88)(79, 89)(80, 91)(82, 92)(84, 94)(90, 95)(93, 96)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1833
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 12^8 ]

E19.1835 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 52>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^12, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1, T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-8 * T1 * T2^-1 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 60, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 69, 54, 38, 24, 14, 6)(7, 15, 26, 41, 58, 77, 63, 45, 30, 18, 9, 16)(11, 20, 33, 49, 67, 85, 72, 53, 37, 23, 13, 21)(25, 39, 56, 75, 90, 80, 62, 44, 29, 42, 27, 40)(32, 47, 65, 83, 93, 88, 71, 52, 36, 50, 34, 48)(55, 73, 89, 95, 91, 79, 61, 78, 59, 76, 57, 74)(64, 81, 92, 96, 94, 87, 70, 86, 68, 84, 66, 82)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 108)(106, 110)(111, 121)(112, 123)(113, 122)(114, 125)(115, 126)(116, 128)(117, 130)(118, 129)(119, 132)(120, 133)(124, 131)(127, 134)(135, 151)(136, 153)(137, 152)(138, 155)(139, 154)(140, 157)(141, 158)(142, 159)(143, 160)(144, 162)(145, 161)(146, 164)(147, 163)(148, 166)(149, 167)(150, 168)(156, 165)(169, 177)(170, 178)(171, 185)(172, 180)(173, 186)(174, 182)(175, 183)(176, 187)(179, 188)(181, 189)(184, 190)(191, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1839
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 4
	degree seq :: [ 2^48, 12^8 ]

E19.1836 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 52>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-1 * T1^-3 * T2^-1 * T1, T2^3 * T1^-1 * T2^-5 * T1^-1, T1^-1 * T2 * T1^-1 * T2^9, T2^3 * T1^-2 * T2^5 * T1^-2, T2^-1 * T1 * T2^-1 * T1^9 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 78, 89, 61, 34, 21, 42, 71, 96, 68, 41, 30, 53, 83, 90, 73, 59, 33, 15, 5)(2, 7, 19, 40, 69, 49, 80, 87, 60, 37, 32, 57, 76, 46, 24, 11, 27, 52, 84, 93, 74, 44, 22, 8)(4, 12, 29, 54, 79, 91, 63, 35, 16, 14, 31, 56, 77, 47, 26, 50, 82, 88, 65, 58, 75, 45, 23, 9)(6, 17, 36, 64, 92, 70, 55, 85, 86, 62, 43, 72, 95, 67, 39, 20, 13, 28, 51, 81, 94, 66, 38, 18)(97, 98, 102, 112, 130, 156, 182, 178, 149, 123, 109, 100)(99, 105, 113, 104, 117, 131, 158, 183, 179, 146, 124, 107)(101, 110, 114, 133, 157, 184, 181, 148, 126, 108, 116, 103)(106, 120, 132, 119, 138, 118, 139, 159, 186, 176, 147, 122)(111, 128, 134, 161, 185, 180, 151, 125, 137, 115, 135, 127)(121, 143, 160, 142, 167, 141, 168, 140, 169, 187, 177, 145)(129, 154, 162, 189, 174, 150, 166, 136, 164, 152, 163, 153)(144, 165, 188, 173, 192, 172, 191, 171, 155, 170, 190, 175)
	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 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1840
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 96 f = 48
	degree seq :: [ 12^8, 24^4 ]

E19.1837 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 52>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-3 * T2 * T1^4 * T2 * T1^-1, (T2 * T1^-2 * T2 * T1^2)^2, (T1^-5 * T2 * T1^-1)^2, T1^24 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 55)(36, 60)(37, 56)(38, 59)(39, 57)(40, 58)(42, 61)(43, 67)(45, 70)(46, 71)(47, 73)(50, 74)(51, 75)(54, 76)(62, 79)(63, 78)(64, 77)(65, 81)(66, 86)(68, 89)(69, 91)(72, 92)(80, 93)(82, 94)(83, 85)(84, 88)(87, 95)(90, 96)(97, 98, 101, 107, 119, 139, 162, 181, 174, 155, 131, 149, 170, 152, 128, 148, 169, 187, 180, 161, 138, 118, 106, 100)(99, 103, 111, 127, 140, 164, 184, 178, 159, 136, 117, 135, 146, 122, 108, 121, 143, 168, 182, 176, 157, 132, 114, 104)(102, 109, 123, 147, 163, 183, 177, 158, 134, 116, 105, 115, 133, 142, 120, 141, 165, 186, 179, 160, 137, 150, 126, 110)(112, 124, 144, 166, 185, 191, 189, 173, 154, 130, 113, 125, 145, 167, 151, 171, 188, 192, 190, 175, 156, 172, 153, 129)
	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 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1838
Transitivity :: ET+
Graph:: simple bipartite
	v = 52 e = 96 f = 8
	degree seq :: [ 2^48, 24^4 ]

E19.1838 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 52>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^12, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1, T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-8 * T1 * T2^-1 ]
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, 26, 122, 41, 137, 58, 154, 77, 173, 63, 159, 45, 141, 30, 126, 18, 114, 9, 105, 16, 112)(11, 107, 20, 116, 33, 129, 49, 145, 67, 163, 85, 181, 72, 168, 53, 149, 37, 133, 23, 119, 13, 109, 21, 117)(25, 121, 39, 135, 56, 152, 75, 171, 90, 186, 80, 176, 62, 158, 44, 140, 29, 125, 42, 138, 27, 123, 40, 136)(32, 128, 47, 143, 65, 161, 83, 179, 93, 189, 88, 184, 71, 167, 52, 148, 36, 132, 50, 146, 34, 130, 48, 144)(55, 151, 73, 169, 89, 185, 95, 191, 91, 187, 79, 175, 61, 157, 78, 174, 59, 155, 76, 172, 57, 153, 74, 170)(64, 160, 81, 177, 92, 188, 96, 192, 94, 190, 87, 183, 70, 166, 86, 182, 68, 164, 84, 180, 66, 162, 82, 178)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 108)(9, 100)(10, 110)(11, 101)(12, 104)(13, 102)(14, 106)(15, 121)(16, 123)(17, 122)(18, 125)(19, 126)(20, 128)(21, 130)(22, 129)(23, 132)(24, 133)(25, 111)(26, 113)(27, 112)(28, 131)(29, 114)(30, 115)(31, 134)(32, 116)(33, 118)(34, 117)(35, 124)(36, 119)(37, 120)(38, 127)(39, 151)(40, 153)(41, 152)(42, 155)(43, 154)(44, 157)(45, 158)(46, 159)(47, 160)(48, 162)(49, 161)(50, 164)(51, 163)(52, 166)(53, 167)(54, 168)(55, 135)(56, 137)(57, 136)(58, 139)(59, 138)(60, 165)(61, 140)(62, 141)(63, 142)(64, 143)(65, 145)(66, 144)(67, 147)(68, 146)(69, 156)(70, 148)(71, 149)(72, 150)(73, 177)(74, 178)(75, 185)(76, 180)(77, 186)(78, 182)(79, 183)(80, 187)(81, 169)(82, 170)(83, 188)(84, 172)(85, 189)(86, 174)(87, 175)(88, 190)(89, 171)(90, 173)(91, 176)(92, 179)(93, 181)(94, 184)(95, 192)(96, 191)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1837
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 52
	degree seq :: [ 24^8 ]

E19.1839 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 52>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-1 * T1^-3 * T2^-1 * T1, T2^3 * T1^-1 * T2^-5 * T1^-1, T1^-1 * T2 * T1^-1 * T2^9, T2^3 * T1^-2 * T2^5 * T1^-2, T2^-1 * T1 * T2^-1 * T1^9 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 25, 121, 48, 144, 78, 174, 89, 185, 61, 157, 34, 130, 21, 117, 42, 138, 71, 167, 96, 192, 68, 164, 41, 137, 30, 126, 53, 149, 83, 179, 90, 186, 73, 169, 59, 155, 33, 129, 15, 111, 5, 101)(2, 98, 7, 103, 19, 115, 40, 136, 69, 165, 49, 145, 80, 176, 87, 183, 60, 156, 37, 133, 32, 128, 57, 153, 76, 172, 46, 142, 24, 120, 11, 107, 27, 123, 52, 148, 84, 180, 93, 189, 74, 170, 44, 140, 22, 118, 8, 104)(4, 100, 12, 108, 29, 125, 54, 150, 79, 175, 91, 187, 63, 159, 35, 131, 16, 112, 14, 110, 31, 127, 56, 152, 77, 173, 47, 143, 26, 122, 50, 146, 82, 178, 88, 184, 65, 161, 58, 154, 75, 171, 45, 141, 23, 119, 9, 105)(6, 102, 17, 113, 36, 132, 64, 160, 92, 188, 70, 166, 55, 151, 85, 181, 86, 182, 62, 158, 43, 139, 72, 168, 95, 191, 67, 163, 39, 135, 20, 116, 13, 109, 28, 124, 51, 147, 81, 177, 94, 190, 66, 162, 38, 134, 18, 114)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 112)(7, 101)(8, 117)(9, 113)(10, 120)(11, 99)(12, 116)(13, 100)(14, 114)(15, 128)(16, 130)(17, 104)(18, 133)(19, 135)(20, 103)(21, 131)(22, 139)(23, 138)(24, 132)(25, 143)(26, 106)(27, 109)(28, 107)(29, 137)(30, 108)(31, 111)(32, 134)(33, 154)(34, 156)(35, 158)(36, 119)(37, 157)(38, 161)(39, 127)(40, 164)(41, 115)(42, 118)(43, 159)(44, 169)(45, 168)(46, 167)(47, 160)(48, 165)(49, 121)(50, 124)(51, 122)(52, 126)(53, 123)(54, 166)(55, 125)(56, 163)(57, 129)(58, 162)(59, 170)(60, 182)(61, 184)(62, 183)(63, 186)(64, 142)(65, 185)(66, 189)(67, 153)(68, 152)(69, 188)(70, 136)(71, 141)(72, 140)(73, 187)(74, 190)(75, 155)(76, 191)(77, 192)(78, 150)(79, 144)(80, 147)(81, 145)(82, 149)(83, 146)(84, 151)(85, 148)(86, 178)(87, 179)(88, 181)(89, 180)(90, 176)(91, 177)(92, 173)(93, 174)(94, 175)(95, 171)(96, 172)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1835
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 96 f = 56
	degree seq :: [ 48^4 ]

E19.1840 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 52>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-3 * T2 * T1^4 * T2 * T1^-1, (T2 * T1^-2 * T2 * T1^2)^2, (T1^-5 * T2 * T1^-1)^2, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99)(2, 98, 6, 102)(4, 100, 9, 105)(5, 101, 12, 108)(7, 103, 16, 112)(8, 104, 17, 113)(10, 106, 21, 117)(11, 107, 24, 120)(13, 109, 28, 124)(14, 110, 29, 125)(15, 111, 32, 128)(18, 114, 35, 131)(19, 115, 33, 129)(20, 116, 34, 130)(22, 118, 41, 137)(23, 119, 44, 140)(25, 121, 48, 144)(26, 122, 49, 145)(27, 123, 52, 148)(30, 126, 53, 149)(31, 127, 55, 151)(36, 132, 60, 156)(37, 133, 56, 152)(38, 134, 59, 155)(39, 135, 57, 153)(40, 136, 58, 154)(42, 138, 61, 157)(43, 139, 67, 163)(45, 141, 70, 166)(46, 142, 71, 167)(47, 143, 73, 169)(50, 146, 74, 170)(51, 147, 75, 171)(54, 150, 76, 172)(62, 158, 79, 175)(63, 159, 78, 174)(64, 160, 77, 173)(65, 161, 81, 177)(66, 162, 86, 182)(68, 164, 89, 185)(69, 165, 91, 187)(72, 168, 92, 188)(80, 176, 93, 189)(82, 178, 94, 190)(83, 179, 85, 181)(84, 180, 88, 184)(87, 183, 95, 191)(90, 186, 96, 192)
	L = (1, 98)(2, 101)(3, 103)(4, 97)(5, 107)(6, 109)(7, 111)(8, 99)(9, 115)(10, 100)(11, 119)(12, 121)(13, 123)(14, 102)(15, 127)(16, 124)(17, 125)(18, 104)(19, 133)(20, 105)(21, 135)(22, 106)(23, 139)(24, 141)(25, 143)(26, 108)(27, 147)(28, 144)(29, 145)(30, 110)(31, 140)(32, 148)(33, 112)(34, 113)(35, 149)(36, 114)(37, 142)(38, 116)(39, 146)(40, 117)(41, 150)(42, 118)(43, 162)(44, 164)(45, 165)(46, 120)(47, 168)(48, 166)(49, 167)(50, 122)(51, 163)(52, 169)(53, 170)(54, 126)(55, 171)(56, 128)(57, 129)(58, 130)(59, 131)(60, 172)(61, 132)(62, 134)(63, 136)(64, 137)(65, 138)(66, 181)(67, 183)(68, 184)(69, 186)(70, 185)(71, 151)(72, 182)(73, 187)(74, 152)(75, 188)(76, 153)(77, 154)(78, 155)(79, 156)(80, 157)(81, 158)(82, 159)(83, 160)(84, 161)(85, 174)(86, 176)(87, 177)(88, 178)(89, 191)(90, 179)(91, 180)(92, 192)(93, 173)(94, 175)(95, 189)(96, 190)
	local type(s) :: { ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1836
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 12
	degree seq :: [ 4^48 ]

E19.1841 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 52>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|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^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1, Y2^12, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 12, 108)(10, 106, 14, 110)(15, 111, 25, 121)(16, 112, 27, 123)(17, 113, 26, 122)(18, 114, 29, 125)(19, 115, 30, 126)(20, 116, 32, 128)(21, 117, 34, 130)(22, 118, 33, 129)(23, 119, 36, 132)(24, 120, 37, 133)(28, 124, 35, 131)(31, 127, 38, 134)(39, 135, 55, 151)(40, 136, 57, 153)(41, 137, 56, 152)(42, 138, 59, 155)(43, 139, 58, 154)(44, 140, 61, 157)(45, 141, 62, 158)(46, 142, 63, 159)(47, 143, 64, 160)(48, 144, 66, 162)(49, 145, 65, 161)(50, 146, 68, 164)(51, 147, 67, 163)(52, 148, 70, 166)(53, 149, 71, 167)(54, 150, 72, 168)(60, 156, 69, 165)(73, 169, 81, 177)(74, 170, 82, 178)(75, 171, 89, 185)(76, 172, 84, 180)(77, 173, 90, 186)(78, 174, 86, 182)(79, 175, 87, 183)(80, 176, 91, 187)(83, 179, 92, 188)(85, 181, 93, 189)(88, 184, 94, 190)(95, 191, 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, 218, 314, 233, 329, 250, 346, 269, 365, 255, 351, 237, 333, 222, 318, 210, 306, 201, 297, 208, 304)(203, 299, 212, 308, 225, 321, 241, 337, 259, 355, 277, 373, 264, 360, 245, 341, 229, 325, 215, 311, 205, 301, 213, 309)(217, 313, 231, 327, 248, 344, 267, 363, 282, 378, 272, 368, 254, 350, 236, 332, 221, 317, 234, 330, 219, 315, 232, 328)(224, 320, 239, 335, 257, 353, 275, 371, 285, 381, 280, 376, 263, 359, 244, 340, 228, 324, 242, 338, 226, 322, 240, 336)(247, 343, 265, 361, 281, 377, 287, 383, 283, 379, 271, 367, 253, 349, 270, 366, 251, 347, 268, 364, 249, 345, 266, 362)(256, 352, 273, 369, 284, 380, 288, 384, 286, 382, 279, 375, 262, 358, 278, 374, 260, 356, 276, 372, 258, 354, 274, 370)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 204)(9, 196)(10, 206)(11, 197)(12, 200)(13, 198)(14, 202)(15, 217)(16, 219)(17, 218)(18, 221)(19, 222)(20, 224)(21, 226)(22, 225)(23, 228)(24, 229)(25, 207)(26, 209)(27, 208)(28, 227)(29, 210)(30, 211)(31, 230)(32, 212)(33, 214)(34, 213)(35, 220)(36, 215)(37, 216)(38, 223)(39, 247)(40, 249)(41, 248)(42, 251)(43, 250)(44, 253)(45, 254)(46, 255)(47, 256)(48, 258)(49, 257)(50, 260)(51, 259)(52, 262)(53, 263)(54, 264)(55, 231)(56, 233)(57, 232)(58, 235)(59, 234)(60, 261)(61, 236)(62, 237)(63, 238)(64, 239)(65, 241)(66, 240)(67, 243)(68, 242)(69, 252)(70, 244)(71, 245)(72, 246)(73, 273)(74, 274)(75, 281)(76, 276)(77, 282)(78, 278)(79, 279)(80, 283)(81, 265)(82, 266)(83, 284)(84, 268)(85, 285)(86, 270)(87, 271)(88, 286)(89, 267)(90, 269)(91, 272)(92, 275)(93, 277)(94, 280)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.1844
Graph:: bipartite
	v = 56 e = 192 f = 100
	degree seq :: [ 4^48, 24^8 ]

E19.1842 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 52>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^-3 * Y2^-1 * Y1 * Y2^-1, Y1^2 * Y2 * Y1^-1 * Y2 * Y1, Y2^5 * Y1 * Y2^-3 * Y1, Y1^-1 * Y2^3 * Y1^-1 * Y2^4 * Y1^-1 * Y2 * Y1^-1, (Y2^-1 * Y1 * Y2^-1)^4 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 34, 130, 60, 156, 86, 182, 82, 178, 53, 149, 27, 123, 13, 109, 4, 100)(3, 99, 9, 105, 17, 113, 8, 104, 21, 117, 35, 131, 62, 158, 87, 183, 83, 179, 50, 146, 28, 124, 11, 107)(5, 101, 14, 110, 18, 114, 37, 133, 61, 157, 88, 184, 85, 181, 52, 148, 30, 126, 12, 108, 20, 116, 7, 103)(10, 106, 24, 120, 36, 132, 23, 119, 42, 138, 22, 118, 43, 139, 63, 159, 90, 186, 80, 176, 51, 147, 26, 122)(15, 111, 32, 128, 38, 134, 65, 161, 89, 185, 84, 180, 55, 151, 29, 125, 41, 137, 19, 115, 39, 135, 31, 127)(25, 121, 47, 143, 64, 160, 46, 142, 71, 167, 45, 141, 72, 168, 44, 140, 73, 169, 91, 187, 81, 177, 49, 145)(33, 129, 58, 154, 66, 162, 93, 189, 78, 174, 54, 150, 70, 166, 40, 136, 68, 164, 56, 152, 67, 163, 57, 153)(48, 144, 69, 165, 92, 188, 77, 173, 96, 192, 76, 172, 95, 191, 75, 171, 59, 155, 74, 170, 94, 190, 79, 175)(193, 289, 195, 291, 202, 298, 217, 313, 240, 336, 270, 366, 281, 377, 253, 349, 226, 322, 213, 309, 234, 330, 263, 359, 288, 384, 260, 356, 233, 329, 222, 318, 245, 341, 275, 371, 282, 378, 265, 361, 251, 347, 225, 321, 207, 303, 197, 293)(194, 290, 199, 295, 211, 307, 232, 328, 261, 357, 241, 337, 272, 368, 279, 375, 252, 348, 229, 325, 224, 320, 249, 345, 268, 364, 238, 334, 216, 312, 203, 299, 219, 315, 244, 340, 276, 372, 285, 381, 266, 362, 236, 332, 214, 310, 200, 296)(196, 292, 204, 300, 221, 317, 246, 342, 271, 367, 283, 379, 255, 351, 227, 323, 208, 304, 206, 302, 223, 319, 248, 344, 269, 365, 239, 335, 218, 314, 242, 338, 274, 370, 280, 376, 257, 353, 250, 346, 267, 363, 237, 333, 215, 311, 201, 297)(198, 294, 209, 305, 228, 324, 256, 352, 284, 380, 262, 358, 247, 343, 277, 373, 278, 374, 254, 350, 235, 331, 264, 360, 287, 383, 259, 355, 231, 327, 212, 308, 205, 301, 220, 316, 243, 339, 273, 369, 286, 382, 258, 354, 230, 326, 210, 306)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 217)(11, 219)(12, 221)(13, 220)(14, 223)(15, 197)(16, 206)(17, 228)(18, 198)(19, 232)(20, 205)(21, 234)(22, 200)(23, 201)(24, 203)(25, 240)(26, 242)(27, 244)(28, 243)(29, 246)(30, 245)(31, 248)(32, 249)(33, 207)(34, 213)(35, 208)(36, 256)(37, 224)(38, 210)(39, 212)(40, 261)(41, 222)(42, 263)(43, 264)(44, 214)(45, 215)(46, 216)(47, 218)(48, 270)(49, 272)(50, 274)(51, 273)(52, 276)(53, 275)(54, 271)(55, 277)(56, 269)(57, 268)(58, 267)(59, 225)(60, 229)(61, 226)(62, 235)(63, 227)(64, 284)(65, 250)(66, 230)(67, 231)(68, 233)(69, 241)(70, 247)(71, 288)(72, 287)(73, 251)(74, 236)(75, 237)(76, 238)(77, 239)(78, 281)(79, 283)(80, 279)(81, 286)(82, 280)(83, 282)(84, 285)(85, 278)(86, 254)(87, 252)(88, 257)(89, 253)(90, 265)(91, 255)(92, 262)(93, 266)(94, 258)(95, 259)(96, 260)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E19.1843
Graph:: bipartite
	v = 12 e = 192 f = 144
	degree seq :: [ 24^8, 48^4 ]

E19.1843 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 52>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^4 * Y2 * Y3^-4 * Y2, (Y3^-2 * Y2 * Y3^2 * Y2)^2, Y3^10 * Y2 * Y3^2 * Y2, (Y3^2 * Y2 * Y3)^4, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290)(195, 291, 199, 295)(196, 292, 201, 297)(197, 293, 203, 299)(198, 294, 205, 301)(200, 296, 209, 305)(202, 298, 213, 309)(204, 300, 217, 313)(206, 302, 221, 317)(207, 303, 215, 311)(208, 304, 219, 315)(210, 306, 227, 323)(211, 307, 216, 312)(212, 308, 220, 316)(214, 310, 233, 329)(218, 314, 239, 335)(222, 318, 245, 341)(223, 319, 237, 333)(224, 320, 243, 339)(225, 321, 235, 331)(226, 322, 241, 337)(228, 324, 240, 336)(229, 325, 238, 334)(230, 326, 244, 340)(231, 327, 236, 332)(232, 328, 242, 338)(234, 330, 246, 342)(247, 343, 262, 358)(248, 344, 259, 355)(249, 345, 260, 356)(250, 346, 261, 357)(251, 347, 258, 354)(252, 348, 263, 359)(253, 349, 269, 365)(254, 350, 267, 363)(255, 351, 266, 362)(256, 352, 265, 361)(257, 353, 273, 369)(264, 360, 277, 373)(268, 364, 281, 377)(270, 366, 279, 375)(271, 367, 278, 374)(272, 368, 284, 380)(274, 370, 283, 379)(275, 371, 282, 378)(276, 372, 280, 376)(285, 381, 287, 383)(286, 382, 288, 384)
	L = (1, 195)(2, 197)(3, 200)(4, 193)(5, 204)(6, 194)(7, 207)(8, 210)(9, 211)(10, 196)(11, 215)(12, 218)(13, 219)(14, 198)(15, 223)(16, 199)(17, 225)(18, 228)(19, 229)(20, 201)(21, 231)(22, 202)(23, 235)(24, 203)(25, 237)(26, 240)(27, 241)(28, 205)(29, 243)(30, 206)(31, 247)(32, 208)(33, 249)(34, 209)(35, 251)(36, 253)(37, 252)(38, 212)(39, 250)(40, 213)(41, 248)(42, 214)(43, 258)(44, 216)(45, 260)(46, 217)(47, 262)(48, 264)(49, 263)(50, 220)(51, 261)(52, 221)(53, 259)(54, 222)(55, 269)(56, 224)(57, 270)(58, 226)(59, 271)(60, 227)(61, 272)(62, 230)(63, 232)(64, 233)(65, 234)(66, 277)(67, 236)(68, 278)(69, 238)(70, 279)(71, 239)(72, 280)(73, 242)(74, 244)(75, 245)(76, 246)(77, 285)(78, 284)(79, 286)(80, 282)(81, 254)(82, 255)(83, 256)(84, 257)(85, 287)(86, 276)(87, 288)(88, 274)(89, 265)(90, 266)(91, 267)(92, 268)(93, 273)(94, 275)(95, 281)(96, 283)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 24, 48 ), ( 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.1842
Graph:: simple bipartite
	v = 144 e = 192 f = 12
	degree seq :: [ 2^96, 4^48 ]

E19.1844 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 52>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|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, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-4 * Y3 * Y1^4, (Y3 * Y1^-2 * Y3 * Y1^2)^2, (Y1^-4 * Y3 * Y1^-2)^2 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 43, 139, 66, 162, 85, 181, 78, 174, 59, 155, 35, 131, 53, 149, 74, 170, 56, 152, 32, 128, 52, 148, 73, 169, 91, 187, 84, 180, 65, 161, 42, 138, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 31, 127, 44, 140, 68, 164, 88, 184, 82, 178, 63, 159, 40, 136, 21, 117, 39, 135, 50, 146, 26, 122, 12, 108, 25, 121, 47, 143, 72, 168, 86, 182, 80, 176, 61, 157, 36, 132, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 51, 147, 67, 163, 87, 183, 81, 177, 62, 158, 38, 134, 20, 116, 9, 105, 19, 115, 37, 133, 46, 142, 24, 120, 45, 141, 69, 165, 90, 186, 83, 179, 64, 160, 41, 137, 54, 150, 30, 126, 14, 110)(16, 112, 28, 124, 48, 144, 70, 166, 89, 185, 95, 191, 93, 189, 77, 173, 58, 154, 34, 130, 17, 113, 29, 125, 49, 145, 71, 167, 55, 151, 75, 171, 92, 188, 96, 192, 94, 190, 79, 175, 60, 156, 76, 172, 57, 153, 33, 129)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 220)(14, 221)(15, 224)(16, 199)(17, 200)(18, 227)(19, 225)(20, 226)(21, 202)(22, 233)(23, 236)(24, 203)(25, 240)(26, 241)(27, 244)(28, 205)(29, 206)(30, 245)(31, 247)(32, 207)(33, 211)(34, 212)(35, 210)(36, 252)(37, 248)(38, 251)(39, 249)(40, 250)(41, 214)(42, 253)(43, 259)(44, 215)(45, 262)(46, 263)(47, 265)(48, 217)(49, 218)(50, 266)(51, 267)(52, 219)(53, 222)(54, 268)(55, 223)(56, 229)(57, 231)(58, 232)(59, 230)(60, 228)(61, 234)(62, 271)(63, 270)(64, 269)(65, 273)(66, 278)(67, 235)(68, 281)(69, 283)(70, 237)(71, 238)(72, 284)(73, 239)(74, 242)(75, 243)(76, 246)(77, 256)(78, 255)(79, 254)(80, 285)(81, 257)(82, 286)(83, 277)(84, 280)(85, 275)(86, 258)(87, 287)(88, 276)(89, 260)(90, 288)(91, 261)(92, 264)(93, 272)(94, 274)(95, 279)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 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 E19.1841
Graph:: simple bipartite
	v = 100 e = 192 f = 56
	degree seq :: [ 2^96, 48^4 ]

E19.1845 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 52>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|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, (Y2^-1 * R * Y2^-3)^2, Y2^-3 * Y1 * Y2^4 * Y1 * Y2^-1, (Y2^-2 * Y1 * Y2^2 * Y1)^2, Y2^10 * Y1 * Y2^2 * Y1, (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, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 23, 119)(16, 112, 27, 123)(18, 114, 35, 131)(19, 115, 24, 120)(20, 116, 28, 124)(22, 118, 41, 137)(26, 122, 47, 143)(30, 126, 53, 149)(31, 127, 45, 141)(32, 128, 51, 147)(33, 129, 43, 139)(34, 130, 49, 145)(36, 132, 48, 144)(37, 133, 46, 142)(38, 134, 52, 148)(39, 135, 44, 140)(40, 136, 50, 146)(42, 138, 54, 150)(55, 151, 70, 166)(56, 152, 67, 163)(57, 153, 68, 164)(58, 154, 69, 165)(59, 155, 66, 162)(60, 156, 71, 167)(61, 157, 77, 173)(62, 158, 75, 171)(63, 159, 74, 170)(64, 160, 73, 169)(65, 161, 81, 177)(72, 168, 85, 181)(76, 172, 89, 185)(78, 174, 87, 183)(79, 175, 86, 182)(80, 176, 92, 188)(82, 178, 91, 187)(83, 179, 90, 186)(84, 180, 88, 184)(93, 189, 95, 191)(94, 190, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 228, 324, 253, 349, 272, 368, 282, 378, 266, 362, 244, 340, 221, 317, 243, 339, 261, 357, 238, 334, 217, 313, 237, 333, 260, 356, 278, 374, 276, 372, 257, 353, 234, 330, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 240, 336, 264, 360, 280, 376, 274, 370, 255, 351, 232, 328, 213, 309, 231, 327, 250, 346, 226, 322, 209, 305, 225, 321, 249, 345, 270, 366, 284, 380, 268, 364, 246, 342, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 223, 319, 247, 343, 269, 365, 285, 381, 273, 369, 254, 350, 230, 326, 212, 308, 201, 297, 211, 307, 229, 325, 252, 348, 227, 323, 251, 347, 271, 367, 286, 382, 275, 371, 256, 352, 233, 329, 248, 344, 224, 320, 208, 304)(203, 299, 215, 311, 235, 331, 258, 354, 277, 373, 287, 383, 281, 377, 265, 361, 242, 338, 220, 316, 205, 301, 219, 315, 241, 337, 263, 359, 239, 335, 262, 358, 279, 375, 288, 384, 283, 379, 267, 363, 245, 341, 259, 355, 236, 332, 216, 312)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 215)(16, 219)(17, 200)(18, 227)(19, 216)(20, 220)(21, 202)(22, 233)(23, 207)(24, 211)(25, 204)(26, 239)(27, 208)(28, 212)(29, 206)(30, 245)(31, 237)(32, 243)(33, 235)(34, 241)(35, 210)(36, 240)(37, 238)(38, 244)(39, 236)(40, 242)(41, 214)(42, 246)(43, 225)(44, 231)(45, 223)(46, 229)(47, 218)(48, 228)(49, 226)(50, 232)(51, 224)(52, 230)(53, 222)(54, 234)(55, 262)(56, 259)(57, 260)(58, 261)(59, 258)(60, 263)(61, 269)(62, 267)(63, 266)(64, 265)(65, 273)(66, 251)(67, 248)(68, 249)(69, 250)(70, 247)(71, 252)(72, 277)(73, 256)(74, 255)(75, 254)(76, 281)(77, 253)(78, 279)(79, 278)(80, 284)(81, 257)(82, 283)(83, 282)(84, 280)(85, 264)(86, 271)(87, 270)(88, 276)(89, 268)(90, 275)(91, 274)(92, 272)(93, 287)(94, 288)(95, 285)(96, 286)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 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 E19.1846
Graph:: bipartite
	v = 52 e = 192 f = 104
	degree seq :: [ 4^48, 48^4 ]

E19.1846 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 52>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1, Y3^-1 * Y1^-3 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^5 * Y1 * Y3^-3 * Y1, Y1^-1 * Y3^3 * Y1^-1 * Y3^4 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^9, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 34, 130, 60, 156, 86, 182, 82, 178, 53, 149, 27, 123, 13, 109, 4, 100)(3, 99, 9, 105, 17, 113, 8, 104, 21, 117, 35, 131, 62, 158, 87, 183, 83, 179, 50, 146, 28, 124, 11, 107)(5, 101, 14, 110, 18, 114, 37, 133, 61, 157, 88, 184, 85, 181, 52, 148, 30, 126, 12, 108, 20, 116, 7, 103)(10, 106, 24, 120, 36, 132, 23, 119, 42, 138, 22, 118, 43, 139, 63, 159, 90, 186, 80, 176, 51, 147, 26, 122)(15, 111, 32, 128, 38, 134, 65, 161, 89, 185, 84, 180, 55, 151, 29, 125, 41, 137, 19, 115, 39, 135, 31, 127)(25, 121, 47, 143, 64, 160, 46, 142, 71, 167, 45, 141, 72, 168, 44, 140, 73, 169, 91, 187, 81, 177, 49, 145)(33, 129, 58, 154, 66, 162, 93, 189, 78, 174, 54, 150, 70, 166, 40, 136, 68, 164, 56, 152, 67, 163, 57, 153)(48, 144, 69, 165, 92, 188, 77, 173, 96, 192, 76, 172, 95, 191, 75, 171, 59, 155, 74, 170, 94, 190, 79, 175)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 217)(11, 219)(12, 221)(13, 220)(14, 223)(15, 197)(16, 206)(17, 228)(18, 198)(19, 232)(20, 205)(21, 234)(22, 200)(23, 201)(24, 203)(25, 240)(26, 242)(27, 244)(28, 243)(29, 246)(30, 245)(31, 248)(32, 249)(33, 207)(34, 213)(35, 208)(36, 256)(37, 224)(38, 210)(39, 212)(40, 261)(41, 222)(42, 263)(43, 264)(44, 214)(45, 215)(46, 216)(47, 218)(48, 270)(49, 272)(50, 274)(51, 273)(52, 276)(53, 275)(54, 271)(55, 277)(56, 269)(57, 268)(58, 267)(59, 225)(60, 229)(61, 226)(62, 235)(63, 227)(64, 284)(65, 250)(66, 230)(67, 231)(68, 233)(69, 241)(70, 247)(71, 288)(72, 287)(73, 251)(74, 236)(75, 237)(76, 238)(77, 239)(78, 281)(79, 283)(80, 279)(81, 286)(82, 280)(83, 282)(84, 285)(85, 278)(86, 254)(87, 252)(88, 257)(89, 253)(90, 265)(91, 255)(92, 262)(93, 266)(94, 258)(95, 259)(96, 260)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 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 E19.1845
Graph:: simple bipartite
	v = 104 e = 192 f = 52
	degree seq :: [ 2^96, 24^8 ]

E19.1847 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 24})
Quotient :: regular
Aut^+ = C3 x ((C4 x C4) : C2) (small group id <96, 54>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^4 * T2 * T1 * T2 * T1 * T2 * T1^5 * T2 * T1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 86, 78, 96, 77, 95, 76, 94, 75, 93, 85, 64, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 66, 88, 82, 61, 74, 54, 73, 53, 72, 52, 71, 91, 81, 60, 43, 28, 17, 8)(6, 13, 21, 34, 48, 67, 87, 79, 58, 41, 57, 40, 56, 39, 55, 70, 92, 84, 63, 45, 30, 18, 9, 14)(15, 25, 35, 51, 68, 90, 83, 62, 44, 29, 38, 24, 37, 23, 36, 50, 69, 89, 80, 59, 42, 27, 16, 26)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 61)(45, 62)(46, 63)(47, 66)(49, 68)(51, 70)(55, 75)(56, 76)(57, 77)(58, 78)(59, 79)(60, 80)(64, 81)(65, 87)(67, 89)(69, 91)(71, 93)(72, 94)(73, 95)(74, 96)(82, 86)(83, 88)(84, 90)(85, 92)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1848
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 48 f = 8
	degree seq :: [ 24^4 ]

E19.1848 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 24})
Quotient :: regular
Aut^+ = C3 x ((C4 x C4) : C2) (small group id <96, 54>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|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, (T1^2 * T2 * T1^-2 * T2)^2, T1^12, (T1^-2 * T2 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 66, 65, 42, 22, 10, 4)(3, 7, 15, 31, 44, 68, 86, 80, 61, 36, 18, 8)(6, 13, 27, 51, 67, 85, 83, 64, 41, 54, 30, 14)(9, 19, 37, 46, 24, 45, 69, 88, 81, 62, 38, 20)(12, 25, 47, 72, 84, 82, 63, 40, 21, 39, 50, 26)(16, 28, 48, 70, 87, 94, 93, 79, 60, 76, 57, 33)(17, 29, 49, 71, 55, 75, 90, 96, 91, 77, 58, 34)(32, 52, 73, 89, 95, 92, 78, 59, 35, 53, 74, 56)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 55)(36, 60)(37, 56)(38, 59)(39, 57)(40, 58)(42, 61)(43, 67)(45, 70)(46, 71)(47, 73)(50, 74)(51, 75)(54, 76)(62, 79)(63, 78)(64, 77)(65, 81)(66, 84)(68, 87)(69, 89)(72, 90)(80, 91)(82, 93)(83, 92)(85, 94)(86, 95)(88, 96)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1847
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 48 f = 4
	degree seq :: [ 12^8 ]

E19.1849 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = C3 x ((C4 x C4) : C2) (small group id <96, 54>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^4 * T1 * T2^-4 * T1, (T2^-2 * T1 * T2^2 * T1)^2, T2^12, (T2^-2 * T1 * T2^-1)^8 ]
Map::
	R = (1, 3, 8, 18, 36, 61, 80, 65, 42, 22, 10, 4)(2, 5, 12, 26, 48, 72, 87, 76, 54, 30, 14, 6)(7, 15, 31, 55, 77, 91, 83, 64, 41, 56, 32, 16)(9, 19, 37, 60, 35, 59, 79, 93, 81, 62, 38, 20)(11, 23, 43, 66, 84, 94, 90, 75, 53, 67, 44, 24)(13, 27, 49, 71, 47, 70, 86, 96, 88, 73, 50, 28)(17, 33, 57, 78, 92, 82, 63, 40, 21, 39, 58, 34)(25, 45, 68, 85, 95, 89, 74, 52, 29, 51, 69, 46)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 121)(110, 125)(111, 119)(112, 123)(114, 131)(115, 120)(116, 124)(118, 137)(122, 143)(126, 149)(127, 141)(128, 147)(129, 139)(130, 145)(132, 144)(133, 142)(134, 148)(135, 140)(136, 146)(138, 150)(151, 166)(152, 163)(153, 164)(154, 165)(155, 162)(156, 167)(157, 173)(158, 171)(159, 170)(160, 169)(161, 177)(168, 180)(172, 184)(174, 182)(175, 181)(176, 188)(178, 186)(179, 185)(183, 191)(187, 190)(189, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1853
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 4
	degree seq :: [ 2^48, 12^8 ]

E19.1850 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = C3 x ((C4 x C4) : C2) (small group id <96, 54>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^2 * T1^-1 * T2^-2 * T1, T2 * T1^4 * T2^-1 * T1^-4, T1^-1 * T2^3 * T1^-5 * T2^3, T1^12, T2^24 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 78, 90, 62, 34, 61, 88, 64, 91, 68, 94, 72, 57, 85, 96, 69, 44, 21, 15, 5)(2, 7, 19, 11, 27, 49, 80, 87, 60, 58, 76, 45, 75, 54, 77, 55, 31, 56, 83, 92, 70, 39, 22, 8)(4, 12, 26, 50, 79, 89, 66, 36, 16, 35, 63, 38, 67, 42, 71, 53, 84, 95, 74, 43, 33, 14, 24, 9)(6, 17, 37, 20, 41, 28, 52, 81, 86, 73, 59, 32, 47, 23, 46, 29, 13, 30, 51, 82, 93, 65, 40, 18)(97, 98, 102, 112, 130, 156, 182, 180, 153, 127, 109, 100)(99, 105, 119, 141, 157, 132, 161, 188, 181, 149, 124, 107)(101, 110, 128, 154, 158, 185, 178, 152, 168, 138, 116, 103)(104, 117, 139, 169, 183, 174, 146, 126, 151, 164, 134, 113)(106, 115, 133, 159, 184, 172, 155, 170, 192, 179, 147, 122)(108, 125, 150, 160, 131, 114, 135, 165, 191, 177, 145, 121)(111, 118, 136, 162, 186, 176, 148, 167, 190, 173, 142, 120)(123, 137, 163, 187, 171, 143, 129, 140, 166, 189, 175, 144)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^12 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1854
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 96 f = 48
	degree seq :: [ 12^8, 24^4 ]

E19.1851 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = C3 x ((C4 x C4) : C2) (small group id <96, 54>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1, T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-7 * T2 * T1^-1 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 61)(45, 62)(46, 63)(47, 66)(49, 68)(51, 70)(55, 75)(56, 76)(57, 77)(58, 78)(59, 79)(60, 80)(64, 81)(65, 87)(67, 89)(69, 91)(71, 93)(72, 94)(73, 95)(74, 96)(82, 86)(83, 88)(84, 90)(85, 92)(97, 98, 101, 107, 116, 128, 143, 161, 182, 174, 192, 173, 191, 172, 190, 171, 189, 181, 160, 142, 127, 115, 106, 100)(99, 103, 108, 118, 129, 145, 162, 184, 178, 157, 170, 150, 169, 149, 168, 148, 167, 187, 177, 156, 139, 124, 113, 104)(102, 109, 117, 130, 144, 163, 183, 175, 154, 137, 153, 136, 152, 135, 151, 166, 188, 180, 159, 141, 126, 114, 105, 110)(111, 121, 131, 147, 164, 186, 179, 158, 140, 125, 134, 120, 133, 119, 132, 146, 165, 185, 176, 155, 138, 123, 112, 122)
	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 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E19.1852
Transitivity :: ET+
Graph:: simple bipartite
	v = 52 e = 96 f = 8
	degree seq :: [ 2^48, 24^4 ]

E19.1852 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = C3 x ((C4 x C4) : C2) (small group id <96, 54>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^4 * T1 * T2^-4 * T1, (T2^-2 * T1 * T2^2 * T1)^2, T2^12, (T2^-2 * T1 * T2^-1)^8 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 18, 114, 36, 132, 61, 157, 80, 176, 65, 161, 42, 138, 22, 118, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 26, 122, 48, 144, 72, 168, 87, 183, 76, 172, 54, 150, 30, 126, 14, 110, 6, 102)(7, 103, 15, 111, 31, 127, 55, 151, 77, 173, 91, 187, 83, 179, 64, 160, 41, 137, 56, 152, 32, 128, 16, 112)(9, 105, 19, 115, 37, 133, 60, 156, 35, 131, 59, 155, 79, 175, 93, 189, 81, 177, 62, 158, 38, 134, 20, 116)(11, 107, 23, 119, 43, 139, 66, 162, 84, 180, 94, 190, 90, 186, 75, 171, 53, 149, 67, 163, 44, 140, 24, 120)(13, 109, 27, 123, 49, 145, 71, 167, 47, 143, 70, 166, 86, 182, 96, 192, 88, 184, 73, 169, 50, 146, 28, 124)(17, 113, 33, 129, 57, 153, 78, 174, 92, 188, 82, 178, 63, 159, 40, 136, 21, 117, 39, 135, 58, 154, 34, 130)(25, 121, 45, 141, 68, 164, 85, 181, 95, 191, 89, 185, 74, 170, 52, 148, 29, 125, 51, 147, 69, 165, 46, 142)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 121)(13, 102)(14, 125)(15, 119)(16, 123)(17, 104)(18, 131)(19, 120)(20, 124)(21, 106)(22, 137)(23, 111)(24, 115)(25, 108)(26, 143)(27, 112)(28, 116)(29, 110)(30, 149)(31, 141)(32, 147)(33, 139)(34, 145)(35, 114)(36, 144)(37, 142)(38, 148)(39, 140)(40, 146)(41, 118)(42, 150)(43, 129)(44, 135)(45, 127)(46, 133)(47, 122)(48, 132)(49, 130)(50, 136)(51, 128)(52, 134)(53, 126)(54, 138)(55, 166)(56, 163)(57, 164)(58, 165)(59, 162)(60, 167)(61, 173)(62, 171)(63, 170)(64, 169)(65, 177)(66, 155)(67, 152)(68, 153)(69, 154)(70, 151)(71, 156)(72, 180)(73, 160)(74, 159)(75, 158)(76, 184)(77, 157)(78, 182)(79, 181)(80, 188)(81, 161)(82, 186)(83, 185)(84, 168)(85, 175)(86, 174)(87, 191)(88, 172)(89, 179)(90, 178)(91, 190)(92, 176)(93, 192)(94, 187)(95, 183)(96, 189)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1851
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 52
	degree seq :: [ 24^8 ]

E19.1853 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = C3 x ((C4 x C4) : C2) (small group id <96, 54>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^2 * T1^-1 * T2^-2 * T1, T2 * T1^4 * T2^-1 * T1^-4, T1^-1 * T2^3 * T1^-5 * T2^3, T1^12, T2^24 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 25, 121, 48, 144, 78, 174, 90, 186, 62, 158, 34, 130, 61, 157, 88, 184, 64, 160, 91, 187, 68, 164, 94, 190, 72, 168, 57, 153, 85, 181, 96, 192, 69, 165, 44, 140, 21, 117, 15, 111, 5, 101)(2, 98, 7, 103, 19, 115, 11, 107, 27, 123, 49, 145, 80, 176, 87, 183, 60, 156, 58, 154, 76, 172, 45, 141, 75, 171, 54, 150, 77, 173, 55, 151, 31, 127, 56, 152, 83, 179, 92, 188, 70, 166, 39, 135, 22, 118, 8, 104)(4, 100, 12, 108, 26, 122, 50, 146, 79, 175, 89, 185, 66, 162, 36, 132, 16, 112, 35, 131, 63, 159, 38, 134, 67, 163, 42, 138, 71, 167, 53, 149, 84, 180, 95, 191, 74, 170, 43, 139, 33, 129, 14, 110, 24, 120, 9, 105)(6, 102, 17, 113, 37, 133, 20, 116, 41, 137, 28, 124, 52, 148, 81, 177, 86, 182, 73, 169, 59, 155, 32, 128, 47, 143, 23, 119, 46, 142, 29, 125, 13, 109, 30, 126, 51, 147, 82, 178, 93, 189, 65, 161, 40, 136, 18, 114)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 112)(7, 101)(8, 117)(9, 119)(10, 115)(11, 99)(12, 125)(13, 100)(14, 128)(15, 118)(16, 130)(17, 104)(18, 135)(19, 133)(20, 103)(21, 139)(22, 136)(23, 141)(24, 111)(25, 108)(26, 106)(27, 137)(28, 107)(29, 150)(30, 151)(31, 109)(32, 154)(33, 140)(34, 156)(35, 114)(36, 161)(37, 159)(38, 113)(39, 165)(40, 162)(41, 163)(42, 116)(43, 169)(44, 166)(45, 157)(46, 120)(47, 129)(48, 123)(49, 121)(50, 126)(51, 122)(52, 167)(53, 124)(54, 160)(55, 164)(56, 168)(57, 127)(58, 158)(59, 170)(60, 182)(61, 132)(62, 185)(63, 184)(64, 131)(65, 188)(66, 186)(67, 187)(68, 134)(69, 191)(70, 189)(71, 190)(72, 138)(73, 183)(74, 192)(75, 143)(76, 155)(77, 142)(78, 146)(79, 144)(80, 148)(81, 145)(82, 152)(83, 147)(84, 153)(85, 149)(86, 180)(87, 174)(88, 172)(89, 178)(90, 176)(91, 171)(92, 181)(93, 175)(94, 173)(95, 177)(96, 179)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1849
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 96 f = 56
	degree seq :: [ 48^4 ]

E19.1854 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = C3 x ((C4 x C4) : C2) (small group id <96, 54>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1, T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-7 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99)(2, 98, 6, 102)(4, 100, 9, 105)(5, 101, 12, 108)(7, 103, 15, 111)(8, 104, 16, 112)(10, 106, 17, 113)(11, 107, 21, 117)(13, 109, 23, 119)(14, 110, 24, 120)(18, 114, 29, 125)(19, 115, 30, 126)(20, 116, 33, 129)(22, 118, 35, 131)(25, 121, 39, 135)(26, 122, 40, 136)(27, 123, 41, 137)(28, 124, 42, 138)(31, 127, 43, 139)(32, 128, 48, 144)(34, 130, 50, 146)(36, 132, 52, 148)(37, 133, 53, 149)(38, 134, 54, 150)(44, 140, 61, 157)(45, 141, 62, 158)(46, 142, 63, 159)(47, 143, 66, 162)(49, 145, 68, 164)(51, 147, 70, 166)(55, 151, 75, 171)(56, 152, 76, 172)(57, 153, 77, 173)(58, 154, 78, 174)(59, 155, 79, 175)(60, 156, 80, 176)(64, 160, 81, 177)(65, 161, 87, 183)(67, 163, 89, 185)(69, 165, 91, 187)(71, 167, 93, 189)(72, 168, 94, 190)(73, 169, 95, 191)(74, 170, 96, 192)(82, 178, 86, 182)(83, 179, 88, 184)(84, 180, 90, 186)(85, 181, 92, 188)
	L = (1, 98)(2, 101)(3, 103)(4, 97)(5, 107)(6, 109)(7, 108)(8, 99)(9, 110)(10, 100)(11, 116)(12, 118)(13, 117)(14, 102)(15, 121)(16, 122)(17, 104)(18, 105)(19, 106)(20, 128)(21, 130)(22, 129)(23, 132)(24, 133)(25, 131)(26, 111)(27, 112)(28, 113)(29, 134)(30, 114)(31, 115)(32, 143)(33, 145)(34, 144)(35, 147)(36, 146)(37, 119)(38, 120)(39, 151)(40, 152)(41, 153)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 161)(48, 163)(49, 162)(50, 165)(51, 164)(52, 167)(53, 168)(54, 169)(55, 166)(56, 135)(57, 136)(58, 137)(59, 138)(60, 139)(61, 170)(62, 140)(63, 141)(64, 142)(65, 182)(66, 184)(67, 183)(68, 186)(69, 185)(70, 188)(71, 187)(72, 148)(73, 149)(74, 150)(75, 189)(76, 190)(77, 191)(78, 192)(79, 154)(80, 155)(81, 156)(82, 157)(83, 158)(84, 159)(85, 160)(86, 174)(87, 175)(88, 178)(89, 176)(90, 179)(91, 177)(92, 180)(93, 181)(94, 171)(95, 172)(96, 173)
	local type(s) :: { ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1850
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 12
	degree seq :: [ 4^48 ]

E19.1855 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C4) : C2) (small group id <96, 54>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|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, (Y2^-1 * R * Y2^-3)^2, Y2^-3 * Y1 * Y2^4 * Y1 * Y2^-1, (Y2^-2 * Y1 * Y2^2 * Y1)^2, Y2^12, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 23, 119)(16, 112, 27, 123)(18, 114, 35, 131)(19, 115, 24, 120)(20, 116, 28, 124)(22, 118, 41, 137)(26, 122, 47, 143)(30, 126, 53, 149)(31, 127, 45, 141)(32, 128, 51, 147)(33, 129, 43, 139)(34, 130, 49, 145)(36, 132, 48, 144)(37, 133, 46, 142)(38, 134, 52, 148)(39, 135, 44, 140)(40, 136, 50, 146)(42, 138, 54, 150)(55, 151, 70, 166)(56, 152, 67, 163)(57, 153, 68, 164)(58, 154, 69, 165)(59, 155, 66, 162)(60, 156, 71, 167)(61, 157, 77, 173)(62, 158, 75, 171)(63, 159, 74, 170)(64, 160, 73, 169)(65, 161, 81, 177)(72, 168, 84, 180)(76, 172, 88, 184)(78, 174, 86, 182)(79, 175, 85, 181)(80, 176, 92, 188)(82, 178, 90, 186)(83, 179, 89, 185)(87, 183, 95, 191)(91, 187, 94, 190)(93, 189, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 228, 324, 253, 349, 272, 368, 257, 353, 234, 330, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 240, 336, 264, 360, 279, 375, 268, 364, 246, 342, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 223, 319, 247, 343, 269, 365, 283, 379, 275, 371, 256, 352, 233, 329, 248, 344, 224, 320, 208, 304)(201, 297, 211, 307, 229, 325, 252, 348, 227, 323, 251, 347, 271, 367, 285, 381, 273, 369, 254, 350, 230, 326, 212, 308)(203, 299, 215, 311, 235, 331, 258, 354, 276, 372, 286, 382, 282, 378, 267, 363, 245, 341, 259, 355, 236, 332, 216, 312)(205, 301, 219, 315, 241, 337, 263, 359, 239, 335, 262, 358, 278, 374, 288, 384, 280, 376, 265, 361, 242, 338, 220, 316)(209, 305, 225, 321, 249, 345, 270, 366, 284, 380, 274, 370, 255, 351, 232, 328, 213, 309, 231, 327, 250, 346, 226, 322)(217, 313, 237, 333, 260, 356, 277, 373, 287, 383, 281, 377, 266, 362, 244, 340, 221, 317, 243, 339, 261, 357, 238, 334)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 215)(16, 219)(17, 200)(18, 227)(19, 216)(20, 220)(21, 202)(22, 233)(23, 207)(24, 211)(25, 204)(26, 239)(27, 208)(28, 212)(29, 206)(30, 245)(31, 237)(32, 243)(33, 235)(34, 241)(35, 210)(36, 240)(37, 238)(38, 244)(39, 236)(40, 242)(41, 214)(42, 246)(43, 225)(44, 231)(45, 223)(46, 229)(47, 218)(48, 228)(49, 226)(50, 232)(51, 224)(52, 230)(53, 222)(54, 234)(55, 262)(56, 259)(57, 260)(58, 261)(59, 258)(60, 263)(61, 269)(62, 267)(63, 266)(64, 265)(65, 273)(66, 251)(67, 248)(68, 249)(69, 250)(70, 247)(71, 252)(72, 276)(73, 256)(74, 255)(75, 254)(76, 280)(77, 253)(78, 278)(79, 277)(80, 284)(81, 257)(82, 282)(83, 281)(84, 264)(85, 271)(86, 270)(87, 287)(88, 268)(89, 275)(90, 274)(91, 286)(92, 272)(93, 288)(94, 283)(95, 279)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 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 E19.1858
Graph:: bipartite
	v = 56 e = 192 f = 100
	degree seq :: [ 4^48, 24^8 ]

E19.1856 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C4) : C2) (small group id <96, 54>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2^-3 * Y1^-1 * Y2 * Y1^-1, Y2^-2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y1^3 * Y2^-1 * Y1^-4, Y2^2 * Y1^-1 * Y2^6 * Y1^-3, Y2^-1 * Y1^3 * Y2^-1 * Y1^7 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 34, 130, 60, 156, 86, 182, 84, 180, 57, 153, 31, 127, 13, 109, 4, 100)(3, 99, 9, 105, 23, 119, 45, 141, 61, 157, 36, 132, 65, 161, 92, 188, 85, 181, 53, 149, 28, 124, 11, 107)(5, 101, 14, 110, 32, 128, 58, 154, 62, 158, 89, 185, 82, 178, 56, 152, 72, 168, 42, 138, 20, 116, 7, 103)(8, 104, 21, 117, 43, 139, 73, 169, 87, 183, 78, 174, 50, 146, 30, 126, 55, 151, 68, 164, 38, 134, 17, 113)(10, 106, 19, 115, 37, 133, 63, 159, 88, 184, 76, 172, 59, 155, 74, 170, 96, 192, 83, 179, 51, 147, 26, 122)(12, 108, 29, 125, 54, 150, 64, 160, 35, 131, 18, 114, 39, 135, 69, 165, 95, 191, 81, 177, 49, 145, 25, 121)(15, 111, 22, 118, 40, 136, 66, 162, 90, 186, 80, 176, 52, 148, 71, 167, 94, 190, 77, 173, 46, 142, 24, 120)(27, 123, 41, 137, 67, 163, 91, 187, 75, 171, 47, 143, 33, 129, 44, 140, 70, 166, 93, 189, 79, 175, 48, 144)(193, 289, 195, 291, 202, 298, 217, 313, 240, 336, 270, 366, 282, 378, 254, 350, 226, 322, 253, 349, 280, 376, 256, 352, 283, 379, 260, 356, 286, 382, 264, 360, 249, 345, 277, 373, 288, 384, 261, 357, 236, 332, 213, 309, 207, 303, 197, 293)(194, 290, 199, 295, 211, 307, 203, 299, 219, 315, 241, 337, 272, 368, 279, 375, 252, 348, 250, 346, 268, 364, 237, 333, 267, 363, 246, 342, 269, 365, 247, 343, 223, 319, 248, 344, 275, 371, 284, 380, 262, 358, 231, 327, 214, 310, 200, 296)(196, 292, 204, 300, 218, 314, 242, 338, 271, 367, 281, 377, 258, 354, 228, 324, 208, 304, 227, 323, 255, 351, 230, 326, 259, 355, 234, 330, 263, 359, 245, 341, 276, 372, 287, 383, 266, 362, 235, 331, 225, 321, 206, 302, 216, 312, 201, 297)(198, 294, 209, 305, 229, 325, 212, 308, 233, 329, 220, 316, 244, 340, 273, 369, 278, 374, 265, 361, 251, 347, 224, 320, 239, 335, 215, 311, 238, 334, 221, 317, 205, 301, 222, 318, 243, 339, 274, 370, 285, 381, 257, 353, 232, 328, 210, 306)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 217)(11, 219)(12, 218)(13, 222)(14, 216)(15, 197)(16, 227)(17, 229)(18, 198)(19, 203)(20, 233)(21, 207)(22, 200)(23, 238)(24, 201)(25, 240)(26, 242)(27, 241)(28, 244)(29, 205)(30, 243)(31, 248)(32, 239)(33, 206)(34, 253)(35, 255)(36, 208)(37, 212)(38, 259)(39, 214)(40, 210)(41, 220)(42, 263)(43, 225)(44, 213)(45, 267)(46, 221)(47, 215)(48, 270)(49, 272)(50, 271)(51, 274)(52, 273)(53, 276)(54, 269)(55, 223)(56, 275)(57, 277)(58, 268)(59, 224)(60, 250)(61, 280)(62, 226)(63, 230)(64, 283)(65, 232)(66, 228)(67, 234)(68, 286)(69, 236)(70, 231)(71, 245)(72, 249)(73, 251)(74, 235)(75, 246)(76, 237)(77, 247)(78, 282)(79, 281)(80, 279)(81, 278)(82, 285)(83, 284)(84, 287)(85, 288)(86, 265)(87, 252)(88, 256)(89, 258)(90, 254)(91, 260)(92, 262)(93, 257)(94, 264)(95, 266)(96, 261)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E19.1857
Graph:: bipartite
	v = 12 e = 192 f = 144
	degree seq :: [ 24^8, 48^4 ]

E19.1857 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C4) : C2) (small group id <96, 54>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2, Y3^3 * Y2 * Y3 * Y2 * Y3^7 * Y2 * Y3 * Y2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^24 ]
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, 204, 300)(202, 298, 206, 302)(207, 303, 217, 313)(208, 304, 219, 315)(209, 305, 218, 314)(210, 306, 221, 317)(211, 307, 222, 318)(212, 308, 224, 320)(213, 309, 226, 322)(214, 310, 225, 321)(215, 311, 228, 324)(216, 312, 229, 325)(220, 316, 227, 323)(223, 319, 230, 326)(231, 327, 247, 343)(232, 328, 249, 345)(233, 329, 248, 344)(234, 330, 251, 347)(235, 331, 250, 346)(236, 332, 253, 349)(237, 333, 254, 350)(238, 334, 255, 351)(239, 335, 257, 353)(240, 336, 259, 355)(241, 337, 258, 354)(242, 338, 261, 357)(243, 339, 260, 356)(244, 340, 263, 359)(245, 341, 264, 360)(246, 342, 265, 361)(252, 348, 262, 358)(256, 352, 266, 362)(267, 363, 278, 374)(268, 364, 279, 375)(269, 365, 288, 384)(270, 366, 281, 377)(271, 367, 287, 383)(272, 368, 283, 379)(273, 369, 286, 382)(274, 370, 285, 381)(275, 371, 284, 380)(276, 372, 282, 378)(277, 373, 280, 376)
	L = (1, 195)(2, 197)(3, 200)(4, 193)(5, 204)(6, 194)(7, 207)(8, 209)(9, 208)(10, 196)(11, 212)(12, 214)(13, 213)(14, 198)(15, 218)(16, 199)(17, 220)(18, 201)(19, 202)(20, 225)(21, 203)(22, 227)(23, 205)(24, 206)(25, 231)(26, 233)(27, 232)(28, 235)(29, 234)(30, 210)(31, 211)(32, 239)(33, 241)(34, 240)(35, 243)(36, 242)(37, 215)(38, 216)(39, 248)(40, 217)(41, 250)(42, 219)(43, 252)(44, 221)(45, 222)(46, 223)(47, 258)(48, 224)(49, 260)(50, 226)(51, 262)(52, 228)(53, 229)(54, 230)(55, 267)(56, 269)(57, 268)(58, 271)(59, 270)(60, 273)(61, 272)(62, 236)(63, 237)(64, 238)(65, 278)(66, 280)(67, 279)(68, 282)(69, 281)(70, 284)(71, 283)(72, 244)(73, 245)(74, 246)(75, 288)(76, 247)(77, 287)(78, 249)(79, 286)(80, 251)(81, 285)(82, 253)(83, 254)(84, 255)(85, 256)(86, 277)(87, 257)(88, 276)(89, 259)(90, 275)(91, 261)(92, 274)(93, 263)(94, 264)(95, 265)(96, 266)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 24, 48 ), ( 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.1856
Graph:: simple bipartite
	v = 144 e = 192 f = 12
	degree seq :: [ 2^96, 4^48 ]

E19.1858 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C4) : C2) (small group id <96, 54>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-3 * Y3 * Y1^-7, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 11, 107, 20, 116, 32, 128, 47, 143, 65, 161, 86, 182, 78, 174, 96, 192, 77, 173, 95, 191, 76, 172, 94, 190, 75, 171, 93, 189, 85, 181, 64, 160, 46, 142, 31, 127, 19, 115, 10, 106, 4, 100)(3, 99, 7, 103, 12, 108, 22, 118, 33, 129, 49, 145, 66, 162, 88, 184, 82, 178, 61, 157, 74, 170, 54, 150, 73, 169, 53, 149, 72, 168, 52, 148, 71, 167, 91, 187, 81, 177, 60, 156, 43, 139, 28, 124, 17, 113, 8, 104)(6, 102, 13, 109, 21, 117, 34, 130, 48, 144, 67, 163, 87, 183, 79, 175, 58, 154, 41, 137, 57, 153, 40, 136, 56, 152, 39, 135, 55, 151, 70, 166, 92, 188, 84, 180, 63, 159, 45, 141, 30, 126, 18, 114, 9, 105, 14, 110)(15, 111, 25, 121, 35, 131, 51, 147, 68, 164, 90, 186, 83, 179, 62, 158, 44, 140, 29, 125, 38, 134, 24, 120, 37, 133, 23, 119, 36, 132, 50, 146, 69, 165, 89, 185, 80, 176, 59, 155, 42, 138, 27, 123, 16, 112, 26, 122)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 207)(8, 208)(9, 196)(10, 209)(11, 213)(12, 197)(13, 215)(14, 216)(15, 199)(16, 200)(17, 202)(18, 221)(19, 222)(20, 225)(21, 203)(22, 227)(23, 205)(24, 206)(25, 231)(26, 232)(27, 233)(28, 234)(29, 210)(30, 211)(31, 235)(32, 240)(33, 212)(34, 242)(35, 214)(36, 244)(37, 245)(38, 246)(39, 217)(40, 218)(41, 219)(42, 220)(43, 223)(44, 253)(45, 254)(46, 255)(47, 258)(48, 224)(49, 260)(50, 226)(51, 262)(52, 228)(53, 229)(54, 230)(55, 267)(56, 268)(57, 269)(58, 270)(59, 271)(60, 272)(61, 236)(62, 237)(63, 238)(64, 273)(65, 279)(66, 239)(67, 281)(68, 241)(69, 283)(70, 243)(71, 285)(72, 286)(73, 287)(74, 288)(75, 247)(76, 248)(77, 249)(78, 250)(79, 251)(80, 252)(81, 256)(82, 278)(83, 280)(84, 282)(85, 284)(86, 274)(87, 257)(88, 275)(89, 259)(90, 276)(91, 261)(92, 277)(93, 263)(94, 264)(95, 265)(96, 266)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 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 E19.1855
Graph:: simple bipartite
	v = 100 e = 192 f = 56
	degree seq :: [ 2^96, 48^4 ]

E19.1859 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C4) : C2) (small group id <96, 54>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|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^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1, Y2 * Y1 * Y2^3 * Y1 * Y2^7 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (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, 12, 108)(10, 106, 14, 110)(15, 111, 25, 121)(16, 112, 27, 123)(17, 113, 26, 122)(18, 114, 29, 125)(19, 115, 30, 126)(20, 116, 32, 128)(21, 117, 34, 130)(22, 118, 33, 129)(23, 119, 36, 132)(24, 120, 37, 133)(28, 124, 35, 131)(31, 127, 38, 134)(39, 135, 55, 151)(40, 136, 57, 153)(41, 137, 56, 152)(42, 138, 59, 155)(43, 139, 58, 154)(44, 140, 61, 157)(45, 141, 62, 158)(46, 142, 63, 159)(47, 143, 65, 161)(48, 144, 67, 163)(49, 145, 66, 162)(50, 146, 69, 165)(51, 147, 68, 164)(52, 148, 71, 167)(53, 149, 72, 168)(54, 150, 73, 169)(60, 156, 70, 166)(64, 160, 74, 170)(75, 171, 86, 182)(76, 172, 87, 183)(77, 173, 96, 192)(78, 174, 89, 185)(79, 175, 95, 191)(80, 176, 91, 187)(81, 177, 94, 190)(82, 178, 93, 189)(83, 179, 92, 188)(84, 180, 90, 186)(85, 181, 88, 184)(193, 289, 195, 291, 200, 296, 209, 305, 220, 316, 235, 331, 252, 348, 273, 369, 285, 381, 263, 359, 283, 379, 261, 357, 281, 377, 259, 355, 279, 375, 257, 353, 278, 374, 277, 373, 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, 284, 380, 274, 370, 253, 349, 272, 368, 251, 347, 270, 366, 249, 345, 268, 364, 247, 343, 267, 363, 288, 384, 266, 362, 246, 342, 230, 326, 216, 312, 206, 302, 198, 294)(199, 295, 207, 303, 218, 314, 233, 329, 250, 346, 271, 367, 286, 382, 264, 360, 244, 340, 228, 324, 242, 338, 226, 322, 240, 336, 224, 320, 239, 335, 258, 354, 280, 376, 276, 372, 255, 351, 237, 333, 222, 318, 210, 306, 201, 297, 208, 304)(203, 299, 212, 308, 225, 321, 241, 337, 260, 356, 282, 378, 275, 371, 254, 350, 236, 332, 221, 317, 234, 330, 219, 315, 232, 328, 217, 313, 231, 327, 248, 344, 269, 365, 287, 383, 265, 361, 245, 341, 229, 325, 215, 311, 205, 301, 213, 309)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 204)(9, 196)(10, 206)(11, 197)(12, 200)(13, 198)(14, 202)(15, 217)(16, 219)(17, 218)(18, 221)(19, 222)(20, 224)(21, 226)(22, 225)(23, 228)(24, 229)(25, 207)(26, 209)(27, 208)(28, 227)(29, 210)(30, 211)(31, 230)(32, 212)(33, 214)(34, 213)(35, 220)(36, 215)(37, 216)(38, 223)(39, 247)(40, 249)(41, 248)(42, 251)(43, 250)(44, 253)(45, 254)(46, 255)(47, 257)(48, 259)(49, 258)(50, 261)(51, 260)(52, 263)(53, 264)(54, 265)(55, 231)(56, 233)(57, 232)(58, 235)(59, 234)(60, 262)(61, 236)(62, 237)(63, 238)(64, 266)(65, 239)(66, 241)(67, 240)(68, 243)(69, 242)(70, 252)(71, 244)(72, 245)(73, 246)(74, 256)(75, 278)(76, 279)(77, 288)(78, 281)(79, 287)(80, 283)(81, 286)(82, 285)(83, 284)(84, 282)(85, 280)(86, 267)(87, 268)(88, 277)(89, 270)(90, 276)(91, 272)(92, 275)(93, 274)(94, 273)(95, 271)(96, 269)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 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 E19.1860
Graph:: bipartite
	v = 52 e = 192 f = 104
	degree seq :: [ 4^48, 48^4 ]

E19.1860 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C4) : C2) (small group id <96, 54>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-3 * Y1^-1 * Y3, Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^3 * Y3^-1 * Y1^-4, Y3^-1 * Y1^3 * Y3^-1 * Y1^7, Y3^2 * Y1^-1 * Y3^6 * Y1^-3, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 34, 130, 60, 156, 86, 182, 84, 180, 57, 153, 31, 127, 13, 109, 4, 100)(3, 99, 9, 105, 23, 119, 45, 141, 61, 157, 36, 132, 65, 161, 92, 188, 85, 181, 53, 149, 28, 124, 11, 107)(5, 101, 14, 110, 32, 128, 58, 154, 62, 158, 89, 185, 82, 178, 56, 152, 72, 168, 42, 138, 20, 116, 7, 103)(8, 104, 21, 117, 43, 139, 73, 169, 87, 183, 78, 174, 50, 146, 30, 126, 55, 151, 68, 164, 38, 134, 17, 113)(10, 106, 19, 115, 37, 133, 63, 159, 88, 184, 76, 172, 59, 155, 74, 170, 96, 192, 83, 179, 51, 147, 26, 122)(12, 108, 29, 125, 54, 150, 64, 160, 35, 131, 18, 114, 39, 135, 69, 165, 95, 191, 81, 177, 49, 145, 25, 121)(15, 111, 22, 118, 40, 136, 66, 162, 90, 186, 80, 176, 52, 148, 71, 167, 94, 190, 77, 173, 46, 142, 24, 120)(27, 123, 41, 137, 67, 163, 91, 187, 75, 171, 47, 143, 33, 129, 44, 140, 70, 166, 93, 189, 79, 175, 48, 144)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 217)(11, 219)(12, 218)(13, 222)(14, 216)(15, 197)(16, 227)(17, 229)(18, 198)(19, 203)(20, 233)(21, 207)(22, 200)(23, 238)(24, 201)(25, 240)(26, 242)(27, 241)(28, 244)(29, 205)(30, 243)(31, 248)(32, 239)(33, 206)(34, 253)(35, 255)(36, 208)(37, 212)(38, 259)(39, 214)(40, 210)(41, 220)(42, 263)(43, 225)(44, 213)(45, 267)(46, 221)(47, 215)(48, 270)(49, 272)(50, 271)(51, 274)(52, 273)(53, 276)(54, 269)(55, 223)(56, 275)(57, 277)(58, 268)(59, 224)(60, 250)(61, 280)(62, 226)(63, 230)(64, 283)(65, 232)(66, 228)(67, 234)(68, 286)(69, 236)(70, 231)(71, 245)(72, 249)(73, 251)(74, 235)(75, 246)(76, 237)(77, 247)(78, 282)(79, 281)(80, 279)(81, 278)(82, 285)(83, 284)(84, 287)(85, 288)(86, 265)(87, 252)(88, 256)(89, 258)(90, 254)(91, 260)(92, 262)(93, 257)(94, 264)(95, 266)(96, 261)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 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 E19.1859
Graph:: simple bipartite
	v = 104 e = 192 f = 52
	degree seq :: [ 2^96, 24^8 ]

E19.1861 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y3 * Y2)^3, (Y3 * Y1)^18 ]
Map:: non-degenerate
	R = (1, 110, 2, 109)(3, 115, 7, 111)(4, 117, 9, 112)(5, 119, 11, 113)(6, 121, 13, 114)(8, 120, 12, 116)(10, 122, 14, 118)(15, 131, 23, 123)(16, 132, 24, 124)(17, 133, 25, 125)(18, 134, 26, 126)(19, 135, 27, 127)(20, 136, 28, 128)(21, 137, 29, 129)(22, 138, 30, 130)(31, 145, 37, 139)(32, 146, 38, 140)(33, 147, 39, 141)(34, 148, 40, 142)(35, 149, 41, 143)(36, 150, 42, 144)(43, 157, 49, 151)(44, 158, 50, 152)(45, 159, 51, 153)(46, 187, 79, 154)(47, 189, 81, 155)(48, 191, 83, 156)(52, 193, 85, 160)(53, 195, 87, 161)(54, 197, 89, 162)(55, 200, 92, 163)(56, 203, 95, 164)(57, 206, 98, 165)(58, 204, 96, 166)(59, 207, 99, 167)(60, 198, 90, 168)(61, 201, 93, 169)(62, 213, 105, 170)(63, 208, 100, 171)(64, 215, 107, 172)(65, 205, 97, 173)(66, 216, 108, 174)(67, 202, 94, 175)(68, 214, 106, 176)(69, 199, 91, 177)(70, 210, 102, 178)(71, 209, 101, 179)(72, 194, 86, 180)(73, 212, 104, 181)(74, 211, 103, 182)(75, 196, 88, 183)(76, 188, 80, 184)(77, 190, 82, 185)(78, 192, 84, 186)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 19)(12, 21)(13, 22)(16, 25)(20, 29)(23, 31)(24, 33)(26, 32)(27, 34)(28, 36)(30, 35)(37, 43)(38, 45)(39, 44)(40, 46)(41, 48)(42, 47)(49, 61)(50, 53)(51, 60)(52, 81)(54, 90)(55, 87)(56, 96)(57, 85)(58, 83)(59, 79)(62, 92)(63, 89)(64, 93)(65, 107)(66, 98)(67, 95)(68, 99)(69, 106)(70, 100)(71, 105)(72, 97)(73, 94)(74, 108)(75, 91)(76, 101)(77, 102)(78, 86)(80, 103)(82, 104)(84, 88)(109, 112)(110, 114)(111, 116)(113, 120)(115, 124)(117, 123)(118, 125)(119, 128)(121, 127)(122, 129)(126, 133)(130, 137)(131, 140)(132, 139)(134, 141)(135, 143)(136, 142)(138, 144)(145, 152)(146, 151)(147, 153)(148, 155)(149, 154)(150, 156)(157, 168)(158, 169)(159, 161)(160, 191)(162, 195)(163, 201)(164, 193)(165, 207)(166, 187)(167, 189)(170, 197)(171, 215)(172, 198)(173, 200)(174, 203)(175, 214)(176, 204)(177, 206)(178, 213)(179, 205)(180, 208)(181, 216)(182, 199)(183, 202)(184, 210)(185, 194)(186, 209)(188, 212)(190, 196)(192, 211)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1862
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 54 e = 108 f = 18
	degree seq :: [ 4^54 ]

E19.1862 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^-1 * Y3 * Y2 * Y1^-1, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, Y1^6, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 110, 2, 114, 6, 122, 14, 118, 10, 113, 5, 109)(3, 117, 9, 123, 15, 120, 12, 112, 4, 119, 11, 111)(7, 124, 16, 121, 13, 126, 18, 116, 8, 125, 17, 115)(19, 133, 25, 129, 21, 135, 27, 128, 20, 134, 26, 127)(22, 136, 28, 132, 24, 138, 30, 131, 23, 137, 29, 130)(31, 145, 37, 141, 33, 147, 39, 140, 32, 146, 38, 139)(34, 148, 40, 144, 36, 150, 42, 143, 35, 149, 41, 142)(43, 157, 49, 153, 45, 159, 51, 152, 44, 158, 50, 151)(46, 197, 89, 156, 48, 198, 90, 155, 47, 196, 88, 154)(52, 199, 91, 169, 61, 200, 92, 165, 57, 201, 93, 160)(53, 202, 94, 164, 56, 203, 95, 173, 65, 204, 96, 161)(54, 193, 85, 163, 55, 194, 86, 174, 66, 195, 87, 162)(58, 191, 83, 167, 59, 192, 84, 172, 64, 190, 82, 166)(60, 208, 100, 170, 62, 210, 102, 171, 63, 209, 101, 168)(67, 211, 103, 176, 68, 213, 105, 177, 69, 212, 104, 175)(70, 182, 74, 179, 71, 183, 75, 180, 72, 181, 73, 178)(76, 214, 106, 185, 77, 216, 108, 186, 78, 215, 107, 184)(79, 205, 97, 188, 80, 207, 99, 189, 81, 206, 98, 187)
	L = (1, 3)(2, 7)(4, 6)(5, 13)(8, 14)(9, 19)(10, 15)(11, 21)(12, 20)(16, 22)(17, 24)(18, 23)(25, 31)(26, 33)(27, 32)(28, 34)(29, 36)(30, 35)(37, 43)(38, 45)(39, 44)(40, 46)(41, 48)(42, 47)(49, 97)(50, 99)(51, 98)(52, 82)(53, 85)(54, 73)(55, 75)(56, 87)(57, 83)(58, 72)(59, 71)(60, 91)(61, 84)(62, 93)(63, 92)(64, 70)(65, 86)(66, 74)(67, 94)(68, 96)(69, 95)(76, 100)(77, 101)(78, 102)(79, 103)(80, 104)(81, 105)(88, 106)(89, 107)(90, 108)(109, 112)(110, 116)(111, 118)(113, 115)(114, 123)(117, 128)(119, 127)(120, 129)(121, 122)(124, 131)(125, 130)(126, 132)(133, 140)(134, 139)(135, 141)(136, 143)(137, 142)(138, 144)(145, 152)(146, 151)(147, 153)(148, 155)(149, 154)(150, 156)(157, 206)(158, 205)(159, 207)(160, 192)(161, 195)(162, 183)(163, 182)(164, 194)(165, 190)(166, 179)(167, 178)(168, 201)(169, 191)(170, 200)(171, 199)(172, 180)(173, 193)(174, 181)(175, 204)(176, 203)(177, 202)(184, 209)(185, 210)(186, 208)(187, 212)(188, 213)(189, 211)(196, 215)(197, 216)(198, 214)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1861
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 54
	degree seq :: [ 12^18 ]

E19.1863 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^3, (Y3 * Y2)^18 ]
Map::
	R = (1, 109, 4, 112)(2, 110, 6, 114)(3, 111, 8, 116)(5, 113, 12, 120)(7, 115, 15, 123)(9, 117, 17, 125)(10, 118, 18, 126)(11, 119, 19, 127)(13, 121, 21, 129)(14, 122, 22, 130)(16, 124, 23, 131)(20, 128, 27, 135)(24, 132, 31, 139)(25, 133, 32, 140)(26, 134, 33, 141)(28, 136, 34, 142)(29, 137, 35, 143)(30, 138, 36, 144)(37, 145, 43, 151)(38, 146, 44, 152)(39, 147, 45, 153)(40, 148, 46, 154)(41, 149, 47, 155)(42, 150, 48, 156)(49, 157, 79, 187)(50, 158, 81, 189)(51, 159, 83, 191)(52, 160, 85, 193)(53, 161, 89, 197)(54, 162, 92, 200)(55, 163, 87, 195)(56, 164, 95, 203)(57, 165, 97, 205)(58, 166, 99, 207)(59, 167, 101, 209)(60, 168, 103, 211)(61, 169, 91, 199)(62, 170, 100, 208)(63, 171, 106, 214)(64, 172, 88, 196)(65, 173, 102, 210)(66, 174, 107, 215)(67, 175, 90, 198)(68, 176, 104, 212)(69, 177, 93, 201)(70, 178, 86, 194)(71, 179, 98, 206)(72, 180, 96, 204)(73, 181, 94, 202)(74, 182, 108, 216)(75, 183, 105, 213)(76, 184, 80, 188)(77, 185, 82, 190)(78, 186, 84, 192)(217, 218)(219, 223)(220, 225)(221, 227)(222, 229)(224, 232)(226, 231)(228, 236)(230, 235)(233, 240)(234, 242)(237, 244)(238, 246)(239, 245)(241, 243)(247, 253)(248, 255)(249, 254)(250, 256)(251, 258)(252, 257)(259, 265)(260, 267)(261, 266)(262, 271)(263, 277)(264, 280)(268, 295)(269, 303)(270, 304)(272, 297)(273, 299)(274, 301)(275, 313)(276, 307)(278, 305)(279, 319)(281, 308)(282, 311)(283, 315)(284, 323)(285, 317)(286, 316)(287, 318)(288, 322)(289, 306)(290, 309)(291, 320)(292, 302)(293, 312)(294, 314)(296, 310)(298, 321)(300, 324)(325, 327)(326, 329)(328, 334)(330, 338)(331, 335)(332, 337)(333, 336)(339, 344)(340, 343)(341, 349)(342, 348)(345, 353)(346, 352)(347, 354)(350, 351)(355, 362)(356, 361)(357, 363)(358, 365)(359, 364)(360, 366)(367, 374)(368, 373)(369, 375)(370, 388)(371, 379)(372, 385)(376, 405)(377, 412)(378, 415)(380, 407)(381, 403)(382, 421)(383, 419)(384, 411)(386, 427)(387, 416)(389, 413)(390, 409)(391, 431)(392, 425)(393, 423)(394, 426)(395, 430)(396, 424)(397, 417)(398, 428)(399, 414)(400, 420)(401, 422)(402, 410)(404, 429)(406, 432)(408, 418)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1866
Graph:: simple bipartite
	v = 162 e = 216 f = 18
	degree seq :: [ 2^108, 4^54 ]

E19.1864 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-2 * Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 109, 4, 112, 6, 114, 15, 123, 9, 117, 5, 113)(2, 110, 7, 115, 3, 111, 10, 118, 14, 122, 8, 116)(11, 119, 19, 127, 12, 120, 21, 129, 13, 121, 20, 128)(16, 124, 22, 130, 17, 125, 24, 132, 18, 126, 23, 131)(25, 133, 31, 139, 26, 134, 33, 141, 27, 135, 32, 140)(28, 136, 34, 142, 29, 137, 36, 144, 30, 138, 35, 143)(37, 145, 43, 151, 38, 146, 45, 153, 39, 147, 44, 152)(40, 148, 46, 154, 41, 149, 48, 156, 42, 150, 47, 155)(49, 157, 79, 187, 50, 158, 81, 189, 51, 159, 83, 191)(52, 160, 85, 193, 58, 166, 99, 207, 57, 165, 87, 195)(53, 161, 90, 198, 62, 170, 95, 203, 54, 162, 92, 200)(55, 163, 88, 196, 56, 164, 89, 197, 63, 171, 93, 201)(59, 167, 101, 209, 61, 169, 105, 213, 60, 168, 103, 211)(64, 172, 102, 210, 66, 174, 104, 212, 65, 173, 106, 214)(67, 175, 107, 215, 69, 177, 91, 199, 68, 176, 94, 202)(70, 178, 100, 208, 72, 180, 86, 194, 71, 179, 98, 206)(73, 181, 97, 205, 75, 183, 96, 204, 74, 182, 108, 216)(76, 184, 84, 192, 78, 186, 82, 190, 77, 185, 80, 188)(217, 218)(219, 225)(220, 227)(221, 228)(222, 230)(223, 232)(224, 233)(226, 234)(229, 231)(235, 241)(236, 242)(237, 243)(238, 244)(239, 245)(240, 246)(247, 253)(248, 254)(249, 255)(250, 256)(251, 257)(252, 258)(259, 265)(260, 266)(261, 267)(262, 279)(263, 271)(264, 272)(268, 297)(269, 304)(270, 305)(273, 299)(274, 295)(275, 303)(276, 301)(277, 315)(278, 309)(280, 308)(281, 306)(282, 311)(283, 319)(284, 317)(285, 321)(286, 322)(287, 318)(288, 320)(289, 310)(290, 323)(291, 307)(292, 314)(293, 316)(294, 302)(296, 324)(298, 313)(300, 312)(325, 327)(326, 330)(328, 336)(329, 337)(331, 341)(332, 342)(333, 338)(334, 340)(335, 339)(343, 350)(344, 351)(345, 349)(346, 353)(347, 354)(348, 352)(355, 362)(356, 363)(357, 361)(358, 365)(359, 366)(360, 364)(367, 374)(368, 375)(369, 373)(370, 379)(371, 380)(372, 387)(376, 407)(377, 413)(378, 417)(381, 403)(382, 405)(383, 409)(384, 423)(385, 411)(386, 412)(388, 414)(389, 419)(390, 416)(391, 425)(392, 429)(393, 427)(394, 426)(395, 428)(396, 430)(397, 431)(398, 415)(399, 418)(400, 424)(401, 410)(402, 422)(404, 421)(406, 420)(408, 432)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1865
Graph:: simple bipartite
	v = 126 e = 216 f = 54
	degree seq :: [ 2^108, 12^18 ]

E19.1865 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^3, (Y3 * Y2)^18 ]
Map::
	R = (1, 109, 217, 325, 4, 112, 220, 328)(2, 110, 218, 326, 6, 114, 222, 330)(3, 111, 219, 327, 8, 116, 224, 332)(5, 113, 221, 329, 12, 120, 228, 336)(7, 115, 223, 331, 15, 123, 231, 339)(9, 117, 225, 333, 17, 125, 233, 341)(10, 118, 226, 334, 18, 126, 234, 342)(11, 119, 227, 335, 19, 127, 235, 343)(13, 121, 229, 337, 21, 129, 237, 345)(14, 122, 230, 338, 22, 130, 238, 346)(16, 124, 232, 340, 23, 131, 239, 347)(20, 128, 236, 344, 27, 135, 243, 351)(24, 132, 240, 348, 31, 139, 247, 355)(25, 133, 241, 349, 32, 140, 248, 356)(26, 134, 242, 350, 33, 141, 249, 357)(28, 136, 244, 352, 34, 142, 250, 358)(29, 137, 245, 353, 35, 143, 251, 359)(30, 138, 246, 354, 36, 144, 252, 360)(37, 145, 253, 361, 43, 151, 259, 367)(38, 146, 254, 362, 44, 152, 260, 368)(39, 147, 255, 363, 45, 153, 261, 369)(40, 148, 256, 364, 46, 154, 262, 370)(41, 149, 257, 365, 47, 155, 263, 371)(42, 150, 258, 366, 48, 156, 264, 372)(49, 157, 265, 373, 85, 193, 301, 409)(50, 158, 266, 374, 86, 194, 302, 410)(51, 159, 267, 375, 87, 195, 303, 411)(52, 160, 268, 376, 90, 198, 306, 414)(53, 161, 269, 377, 91, 199, 307, 415)(54, 162, 270, 378, 92, 200, 308, 416)(55, 163, 271, 379, 94, 202, 310, 418)(56, 164, 272, 380, 96, 204, 312, 420)(57, 165, 273, 381, 98, 206, 314, 422)(58, 166, 274, 382, 97, 205, 313, 421)(59, 167, 275, 383, 99, 207, 315, 423)(60, 168, 276, 384, 89, 197, 305, 413)(61, 169, 277, 385, 95, 203, 311, 419)(62, 170, 278, 386, 93, 201, 309, 417)(63, 171, 279, 387, 100, 208, 316, 424)(64, 172, 280, 388, 101, 209, 317, 425)(65, 173, 281, 389, 102, 210, 318, 426)(66, 174, 282, 390, 103, 211, 319, 427)(67, 175, 283, 391, 104, 212, 320, 428)(68, 176, 284, 392, 88, 196, 304, 412)(69, 177, 285, 393, 105, 213, 321, 429)(70, 178, 286, 394, 106, 214, 322, 430)(71, 179, 287, 395, 107, 215, 323, 431)(72, 180, 288, 396, 108, 216, 324, 432)(73, 181, 289, 397, 82, 190, 298, 406)(74, 182, 290, 398, 83, 191, 299, 407)(75, 183, 291, 399, 84, 192, 300, 408)(76, 184, 292, 400, 79, 187, 295, 403)(77, 185, 293, 401, 80, 188, 296, 404)(78, 186, 294, 402, 81, 189, 297, 405)
	L = (1, 110)(2, 109)(3, 115)(4, 117)(5, 119)(6, 121)(7, 111)(8, 124)(9, 112)(10, 123)(11, 113)(12, 128)(13, 114)(14, 127)(15, 118)(16, 116)(17, 132)(18, 134)(19, 122)(20, 120)(21, 136)(22, 138)(23, 137)(24, 125)(25, 135)(26, 126)(27, 133)(28, 129)(29, 131)(30, 130)(31, 145)(32, 147)(33, 146)(34, 148)(35, 150)(36, 149)(37, 139)(38, 141)(39, 140)(40, 142)(41, 144)(42, 143)(43, 157)(44, 159)(45, 158)(46, 169)(47, 168)(48, 176)(49, 151)(50, 153)(51, 152)(52, 196)(53, 194)(54, 193)(55, 201)(56, 203)(57, 205)(58, 197)(59, 204)(60, 155)(61, 154)(62, 195)(63, 200)(64, 199)(65, 209)(66, 208)(67, 198)(68, 156)(69, 212)(70, 207)(71, 206)(72, 202)(73, 216)(74, 211)(75, 210)(76, 215)(77, 214)(78, 213)(79, 192)(80, 191)(81, 190)(82, 189)(83, 188)(84, 187)(85, 162)(86, 161)(87, 170)(88, 160)(89, 166)(90, 175)(91, 172)(92, 171)(93, 163)(94, 180)(95, 164)(96, 167)(97, 165)(98, 179)(99, 178)(100, 174)(101, 173)(102, 183)(103, 182)(104, 177)(105, 186)(106, 185)(107, 184)(108, 181)(217, 327)(218, 329)(219, 325)(220, 334)(221, 326)(222, 338)(223, 335)(224, 337)(225, 336)(226, 328)(227, 331)(228, 333)(229, 332)(230, 330)(231, 344)(232, 343)(233, 349)(234, 348)(235, 340)(236, 339)(237, 353)(238, 352)(239, 354)(240, 342)(241, 341)(242, 351)(243, 350)(244, 346)(245, 345)(246, 347)(247, 362)(248, 361)(249, 363)(250, 365)(251, 364)(252, 366)(253, 356)(254, 355)(255, 357)(256, 359)(257, 358)(258, 360)(259, 374)(260, 373)(261, 375)(262, 392)(263, 385)(264, 384)(265, 368)(266, 367)(267, 369)(268, 413)(269, 411)(270, 410)(271, 415)(272, 412)(273, 414)(274, 419)(275, 421)(276, 372)(277, 371)(278, 409)(279, 417)(280, 416)(281, 418)(282, 425)(283, 420)(284, 370)(285, 422)(286, 428)(287, 423)(288, 424)(289, 426)(290, 432)(291, 427)(292, 429)(293, 431)(294, 430)(295, 406)(296, 408)(297, 407)(298, 403)(299, 405)(300, 404)(301, 386)(302, 378)(303, 377)(304, 380)(305, 376)(306, 381)(307, 379)(308, 388)(309, 387)(310, 389)(311, 382)(312, 391)(313, 383)(314, 393)(315, 395)(316, 396)(317, 390)(318, 397)(319, 399)(320, 394)(321, 400)(322, 402)(323, 401)(324, 398)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1864
Transitivity :: VT+
Graph:: bipartite
	v = 54 e = 216 f = 126
	degree seq :: [ 8^54 ]

E19.1866 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-2 * Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 109, 217, 325, 4, 112, 220, 328, 6, 114, 222, 330, 15, 123, 231, 339, 9, 117, 225, 333, 5, 113, 221, 329)(2, 110, 218, 326, 7, 115, 223, 331, 3, 111, 219, 327, 10, 118, 226, 334, 14, 122, 230, 338, 8, 116, 224, 332)(11, 119, 227, 335, 19, 127, 235, 343, 12, 120, 228, 336, 21, 129, 237, 345, 13, 121, 229, 337, 20, 128, 236, 344)(16, 124, 232, 340, 22, 130, 238, 346, 17, 125, 233, 341, 24, 132, 240, 348, 18, 126, 234, 342, 23, 131, 239, 347)(25, 133, 241, 349, 31, 139, 247, 355, 26, 134, 242, 350, 33, 141, 249, 357, 27, 135, 243, 351, 32, 140, 248, 356)(28, 136, 244, 352, 34, 142, 250, 358, 29, 137, 245, 353, 36, 144, 252, 360, 30, 138, 246, 354, 35, 143, 251, 359)(37, 145, 253, 361, 43, 151, 259, 367, 38, 146, 254, 362, 45, 153, 261, 369, 39, 147, 255, 363, 44, 152, 260, 368)(40, 148, 256, 364, 46, 154, 262, 370, 41, 149, 257, 365, 48, 156, 264, 372, 42, 150, 258, 366, 47, 155, 263, 371)(49, 157, 265, 373, 67, 175, 283, 391, 50, 158, 266, 374, 68, 176, 284, 392, 51, 159, 267, 375, 69, 177, 285, 393)(52, 160, 268, 376, 93, 201, 309, 417, 57, 165, 273, 381, 103, 211, 319, 427, 60, 168, 276, 384, 95, 203, 311, 419)(53, 161, 269, 377, 97, 205, 313, 421, 54, 162, 270, 378, 100, 208, 316, 424, 65, 173, 281, 389, 98, 206, 314, 422)(55, 163, 271, 379, 94, 202, 310, 418, 66, 174, 282, 390, 96, 204, 312, 420, 56, 164, 272, 380, 99, 207, 315, 423)(58, 166, 274, 382, 91, 199, 307, 415, 61, 169, 277, 385, 92, 200, 308, 416, 59, 167, 275, 383, 105, 213, 321, 429)(62, 170, 278, 386, 86, 194, 302, 410, 63, 171, 279, 387, 88, 196, 304, 412, 64, 172, 280, 388, 85, 193, 301, 409)(70, 178, 286, 394, 101, 209, 317, 425, 72, 180, 288, 396, 102, 210, 318, 426, 71, 179, 287, 395, 104, 212, 320, 428)(73, 181, 289, 397, 106, 214, 322, 430, 75, 183, 291, 399, 107, 215, 323, 431, 74, 182, 290, 398, 108, 216, 324, 432)(76, 184, 292, 400, 90, 198, 306, 414, 78, 186, 294, 402, 89, 197, 305, 413, 77, 185, 293, 401, 87, 195, 303, 411)(79, 187, 295, 403, 84, 192, 300, 408, 81, 189, 297, 405, 83, 191, 299, 407, 80, 188, 296, 404, 82, 190, 298, 406)
	L = (1, 110)(2, 109)(3, 117)(4, 119)(5, 120)(6, 122)(7, 124)(8, 125)(9, 111)(10, 126)(11, 112)(12, 113)(13, 123)(14, 114)(15, 121)(16, 115)(17, 116)(18, 118)(19, 133)(20, 134)(21, 135)(22, 136)(23, 137)(24, 138)(25, 127)(26, 128)(27, 129)(28, 130)(29, 131)(30, 132)(31, 145)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 139)(38, 140)(39, 141)(40, 142)(41, 143)(42, 144)(43, 157)(44, 158)(45, 159)(46, 193)(47, 194)(48, 196)(49, 151)(50, 152)(51, 153)(52, 199)(53, 202)(54, 207)(55, 209)(56, 210)(57, 213)(58, 214)(59, 215)(60, 200)(61, 216)(62, 211)(63, 201)(64, 203)(65, 204)(66, 212)(67, 208)(68, 205)(69, 206)(70, 198)(71, 197)(72, 195)(73, 192)(74, 191)(75, 190)(76, 187)(77, 189)(78, 188)(79, 184)(80, 186)(81, 185)(82, 183)(83, 182)(84, 181)(85, 154)(86, 155)(87, 180)(88, 156)(89, 179)(90, 178)(91, 160)(92, 168)(93, 171)(94, 161)(95, 172)(96, 173)(97, 176)(98, 177)(99, 162)(100, 175)(101, 163)(102, 164)(103, 170)(104, 174)(105, 165)(106, 166)(107, 167)(108, 169)(217, 327)(218, 330)(219, 325)(220, 336)(221, 337)(222, 326)(223, 341)(224, 342)(225, 338)(226, 340)(227, 339)(228, 328)(229, 329)(230, 333)(231, 335)(232, 334)(233, 331)(234, 332)(235, 350)(236, 351)(237, 349)(238, 353)(239, 354)(240, 352)(241, 345)(242, 343)(243, 344)(244, 348)(245, 346)(246, 347)(247, 362)(248, 363)(249, 361)(250, 365)(251, 366)(252, 364)(253, 357)(254, 355)(255, 356)(256, 360)(257, 358)(258, 359)(259, 374)(260, 375)(261, 373)(262, 410)(263, 412)(264, 409)(265, 369)(266, 367)(267, 368)(268, 416)(269, 420)(270, 418)(271, 426)(272, 428)(273, 415)(274, 431)(275, 432)(276, 429)(277, 430)(278, 419)(279, 427)(280, 417)(281, 423)(282, 425)(283, 422)(284, 424)(285, 421)(286, 413)(287, 411)(288, 414)(289, 407)(290, 406)(291, 408)(292, 405)(293, 404)(294, 403)(295, 402)(296, 401)(297, 400)(298, 398)(299, 397)(300, 399)(301, 372)(302, 370)(303, 395)(304, 371)(305, 394)(306, 396)(307, 381)(308, 376)(309, 388)(310, 378)(311, 386)(312, 377)(313, 393)(314, 391)(315, 389)(316, 392)(317, 390)(318, 379)(319, 387)(320, 380)(321, 384)(322, 385)(323, 382)(324, 383)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.1863
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 216 f = 162
	degree seq :: [ 24^18 ]

E19.1867 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1 * Y3 * Y1 * Y2)^2, (Y3 * Y1)^6, Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 10, 118)(6, 114, 12, 120)(8, 116, 15, 123)(11, 119, 20, 128)(13, 121, 23, 131)(14, 122, 21, 129)(16, 124, 19, 127)(17, 125, 28, 136)(18, 126, 29, 137)(22, 130, 34, 142)(24, 132, 37, 145)(25, 133, 36, 144)(26, 134, 39, 147)(27, 135, 40, 148)(30, 138, 44, 152)(31, 139, 43, 151)(32, 140, 46, 154)(33, 141, 47, 155)(35, 143, 49, 157)(38, 146, 53, 161)(41, 149, 48, 156)(42, 150, 57, 165)(45, 153, 61, 169)(50, 158, 67, 175)(51, 159, 66, 174)(52, 160, 63, 171)(54, 162, 64, 172)(55, 163, 60, 168)(56, 164, 62, 170)(58, 166, 74, 182)(59, 167, 73, 181)(65, 173, 79, 187)(68, 176, 83, 191)(69, 177, 82, 190)(70, 178, 78, 186)(71, 179, 77, 185)(72, 180, 85, 193)(75, 183, 89, 197)(76, 184, 88, 196)(80, 188, 93, 201)(81, 189, 92, 200)(84, 192, 96, 204)(86, 194, 99, 207)(87, 195, 98, 206)(90, 198, 102, 210)(91, 199, 103, 211)(94, 202, 107, 215)(95, 203, 106, 214)(97, 205, 108, 216)(100, 208, 104, 212)(101, 209, 105, 213)(217, 325, 219, 327)(218, 326, 221, 329)(220, 328, 224, 332)(222, 330, 227, 335)(223, 331, 229, 337)(225, 333, 232, 340)(226, 334, 234, 342)(228, 336, 237, 345)(230, 338, 240, 348)(231, 339, 241, 349)(233, 341, 243, 351)(235, 343, 246, 354)(236, 344, 247, 355)(238, 346, 249, 357)(239, 347, 251, 359)(242, 350, 254, 362)(244, 352, 255, 363)(245, 353, 258, 366)(248, 356, 261, 369)(250, 358, 262, 370)(252, 360, 266, 374)(253, 361, 267, 375)(256, 364, 271, 379)(257, 365, 270, 378)(259, 367, 274, 382)(260, 368, 275, 383)(263, 371, 279, 387)(264, 372, 278, 386)(265, 373, 281, 389)(268, 376, 284, 392)(269, 377, 285, 393)(272, 380, 287, 395)(273, 381, 288, 396)(276, 384, 291, 399)(277, 385, 292, 400)(280, 388, 294, 402)(282, 390, 296, 404)(283, 391, 297, 405)(286, 394, 300, 408)(289, 397, 302, 410)(290, 398, 303, 411)(293, 401, 306, 414)(295, 403, 307, 415)(298, 406, 310, 418)(299, 407, 311, 419)(301, 409, 313, 421)(304, 412, 316, 424)(305, 413, 317, 425)(308, 416, 320, 428)(309, 417, 321, 429)(312, 420, 324, 432)(314, 422, 323, 431)(315, 423, 322, 430)(318, 426, 319, 427)
	L = (1, 220)(2, 222)(3, 224)(4, 217)(5, 227)(6, 218)(7, 230)(8, 219)(9, 233)(10, 235)(11, 221)(12, 238)(13, 240)(14, 223)(15, 242)(16, 243)(17, 225)(18, 246)(19, 226)(20, 248)(21, 249)(22, 228)(23, 252)(24, 229)(25, 254)(26, 231)(27, 232)(28, 257)(29, 259)(30, 234)(31, 261)(32, 236)(33, 237)(34, 264)(35, 266)(36, 239)(37, 268)(38, 241)(39, 270)(40, 272)(41, 244)(42, 274)(43, 245)(44, 276)(45, 247)(46, 278)(47, 280)(48, 250)(49, 282)(50, 251)(51, 284)(52, 253)(53, 286)(54, 255)(55, 287)(56, 256)(57, 289)(58, 258)(59, 291)(60, 260)(61, 293)(62, 262)(63, 294)(64, 263)(65, 296)(66, 265)(67, 298)(68, 267)(69, 300)(70, 269)(71, 271)(72, 302)(73, 273)(74, 304)(75, 275)(76, 306)(77, 277)(78, 279)(79, 308)(80, 281)(81, 310)(82, 283)(83, 312)(84, 285)(85, 314)(86, 288)(87, 316)(88, 290)(89, 318)(90, 292)(91, 320)(92, 295)(93, 322)(94, 297)(95, 324)(96, 299)(97, 323)(98, 301)(99, 321)(100, 303)(101, 319)(102, 305)(103, 317)(104, 307)(105, 315)(106, 309)(107, 313)(108, 311)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1871
Graph:: simple bipartite
	v = 108 e = 216 f = 72
	degree seq :: [ 4^108 ]

E19.1868 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y3, Y3^18, Y3^-8 * Y2 * Y3^2 * Y1 * Y3^-6 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 12, 120)(5, 113, 14, 122)(6, 114, 16, 124)(7, 115, 19, 127)(8, 116, 21, 129)(10, 118, 24, 132)(11, 119, 26, 134)(13, 121, 22, 130)(15, 123, 20, 128)(17, 125, 29, 137)(18, 126, 28, 136)(23, 131, 31, 139)(25, 133, 37, 145)(27, 135, 33, 141)(30, 138, 42, 150)(32, 140, 38, 146)(34, 142, 45, 153)(35, 143, 39, 147)(36, 144, 41, 149)(40, 148, 51, 159)(43, 151, 48, 156)(44, 152, 47, 155)(46, 154, 54, 162)(49, 157, 50, 158)(52, 160, 61, 169)(53, 161, 57, 165)(55, 163, 66, 174)(56, 164, 62, 170)(58, 166, 69, 177)(59, 167, 63, 171)(60, 168, 65, 173)(64, 172, 75, 183)(67, 175, 72, 180)(68, 176, 71, 179)(70, 178, 78, 186)(73, 181, 74, 182)(76, 184, 85, 193)(77, 185, 81, 189)(79, 187, 90, 198)(80, 188, 86, 194)(82, 190, 93, 201)(83, 191, 87, 195)(84, 192, 89, 197)(88, 196, 99, 207)(91, 199, 96, 204)(92, 200, 95, 203)(94, 202, 102, 210)(97, 205, 98, 206)(100, 208, 105, 213)(101, 209, 104, 212)(103, 211, 107, 215)(106, 214, 108, 216)(217, 325, 219, 327)(218, 326, 222, 330)(220, 328, 227, 335)(221, 329, 226, 334)(223, 331, 234, 342)(224, 332, 233, 341)(225, 333, 236, 344)(228, 336, 243, 351)(229, 337, 232, 340)(230, 338, 242, 350)(231, 339, 241, 349)(235, 343, 247, 355)(237, 345, 244, 352)(238, 346, 250, 358)(239, 347, 251, 359)(240, 348, 254, 362)(245, 353, 257, 365)(246, 354, 249, 357)(248, 356, 256, 364)(252, 360, 262, 370)(253, 361, 263, 371)(255, 363, 266, 374)(258, 366, 269, 377)(259, 367, 261, 369)(260, 368, 268, 376)(264, 372, 274, 382)(265, 373, 275, 383)(267, 375, 278, 386)(270, 378, 281, 389)(271, 379, 273, 381)(272, 380, 280, 388)(276, 384, 286, 394)(277, 385, 287, 395)(279, 387, 290, 398)(282, 390, 293, 401)(283, 391, 285, 393)(284, 392, 292, 400)(288, 396, 298, 406)(289, 397, 299, 407)(291, 399, 302, 410)(294, 402, 305, 413)(295, 403, 297, 405)(296, 404, 304, 412)(300, 408, 310, 418)(301, 409, 311, 419)(303, 411, 314, 422)(306, 414, 317, 425)(307, 415, 309, 417)(308, 416, 316, 424)(312, 420, 321, 429)(313, 421, 322, 430)(315, 423, 323, 431)(318, 426, 324, 432)(319, 427, 320, 428)
	L = (1, 220)(2, 223)(3, 226)(4, 229)(5, 217)(6, 233)(7, 236)(8, 218)(9, 234)(10, 241)(11, 219)(12, 244)(13, 246)(14, 247)(15, 221)(16, 227)(17, 250)(18, 222)(19, 242)(20, 251)(21, 243)(22, 224)(23, 225)(24, 235)(25, 256)(26, 237)(27, 257)(28, 230)(29, 228)(30, 259)(31, 254)(32, 231)(33, 232)(34, 262)(35, 263)(36, 238)(37, 239)(38, 266)(39, 240)(40, 268)(41, 269)(42, 245)(43, 271)(44, 248)(45, 249)(46, 274)(47, 275)(48, 252)(49, 253)(50, 278)(51, 255)(52, 280)(53, 281)(54, 258)(55, 283)(56, 260)(57, 261)(58, 286)(59, 287)(60, 264)(61, 265)(62, 290)(63, 267)(64, 292)(65, 293)(66, 270)(67, 295)(68, 272)(69, 273)(70, 298)(71, 299)(72, 276)(73, 277)(74, 302)(75, 279)(76, 304)(77, 305)(78, 282)(79, 307)(80, 284)(81, 285)(82, 310)(83, 311)(84, 288)(85, 289)(86, 314)(87, 291)(88, 316)(89, 317)(90, 294)(91, 319)(92, 296)(93, 297)(94, 321)(95, 322)(96, 300)(97, 301)(98, 323)(99, 303)(100, 320)(101, 324)(102, 306)(103, 308)(104, 309)(105, 313)(106, 312)(107, 318)(108, 315)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1872
Graph:: simple bipartite
	v = 108 e = 216 f = 72
	degree seq :: [ 4^108 ]

E19.1869 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2 * Y1 * Y3 * Y1)^2, (Y3 * Y1)^6, (Y3 * Y1 * Y2 * Y1 * Y2 * Y1)^2, (Y2 * Y1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 10, 118)(6, 114, 12, 120)(8, 116, 15, 123)(11, 119, 20, 128)(13, 121, 23, 131)(14, 122, 25, 133)(16, 124, 28, 136)(17, 125, 30, 138)(18, 126, 31, 139)(19, 127, 33, 141)(21, 129, 36, 144)(22, 130, 38, 146)(24, 132, 41, 149)(26, 134, 44, 152)(27, 135, 37, 145)(29, 137, 35, 143)(32, 140, 50, 158)(34, 142, 53, 161)(39, 147, 57, 165)(40, 148, 55, 163)(42, 150, 51, 159)(43, 151, 56, 164)(45, 153, 60, 168)(46, 154, 49, 157)(47, 155, 52, 160)(48, 156, 64, 172)(54, 162, 67, 175)(58, 166, 73, 181)(59, 167, 74, 182)(61, 169, 72, 180)(62, 170, 70, 178)(63, 171, 69, 177)(65, 173, 79, 187)(66, 174, 80, 188)(68, 176, 78, 186)(71, 179, 83, 191)(75, 183, 86, 194)(76, 184, 88, 196)(77, 185, 89, 197)(81, 189, 92, 200)(82, 190, 94, 202)(84, 192, 96, 204)(85, 193, 97, 205)(87, 195, 95, 203)(90, 198, 101, 209)(91, 199, 102, 210)(93, 201, 100, 208)(98, 206, 105, 213)(99, 207, 106, 214)(103, 211, 107, 215)(104, 212, 108, 216)(217, 325, 219, 327)(218, 326, 221, 329)(220, 328, 224, 332)(222, 330, 227, 335)(223, 331, 229, 337)(225, 333, 232, 340)(226, 334, 234, 342)(228, 336, 237, 345)(230, 338, 240, 348)(231, 339, 242, 350)(233, 341, 245, 353)(235, 343, 248, 356)(236, 344, 250, 358)(238, 346, 253, 361)(239, 347, 255, 363)(241, 349, 258, 366)(243, 351, 261, 369)(244, 352, 262, 370)(246, 354, 259, 367)(247, 355, 264, 372)(249, 357, 267, 375)(251, 359, 270, 378)(252, 360, 271, 379)(254, 362, 268, 376)(256, 364, 274, 382)(257, 365, 275, 383)(260, 368, 277, 385)(263, 371, 279, 387)(265, 373, 281, 389)(266, 374, 282, 390)(269, 377, 284, 392)(272, 380, 286, 394)(273, 381, 287, 395)(276, 384, 291, 399)(278, 386, 292, 400)(280, 388, 293, 401)(283, 391, 297, 405)(285, 393, 298, 406)(288, 396, 300, 408)(289, 397, 301, 409)(290, 398, 303, 411)(294, 402, 306, 414)(295, 403, 307, 415)(296, 404, 309, 417)(299, 407, 305, 413)(302, 410, 314, 422)(304, 412, 315, 423)(308, 416, 319, 427)(310, 418, 320, 428)(311, 419, 316, 424)(312, 420, 318, 426)(313, 421, 317, 425)(321, 429, 324, 432)(322, 430, 323, 431)
	L = (1, 220)(2, 222)(3, 224)(4, 217)(5, 227)(6, 218)(7, 230)(8, 219)(9, 233)(10, 235)(11, 221)(12, 238)(13, 240)(14, 223)(15, 243)(16, 245)(17, 225)(18, 248)(19, 226)(20, 251)(21, 253)(22, 228)(23, 256)(24, 229)(25, 259)(26, 261)(27, 231)(28, 263)(29, 232)(30, 258)(31, 265)(32, 234)(33, 268)(34, 270)(35, 236)(36, 272)(37, 237)(38, 267)(39, 274)(40, 239)(41, 276)(42, 246)(43, 241)(44, 278)(45, 242)(46, 279)(47, 244)(48, 281)(49, 247)(50, 283)(51, 254)(52, 249)(53, 285)(54, 250)(55, 286)(56, 252)(57, 288)(58, 255)(59, 291)(60, 257)(61, 292)(62, 260)(63, 262)(64, 294)(65, 264)(66, 297)(67, 266)(68, 298)(69, 269)(70, 271)(71, 300)(72, 273)(73, 302)(74, 304)(75, 275)(76, 277)(77, 306)(78, 280)(79, 308)(80, 310)(81, 282)(82, 284)(83, 311)(84, 287)(85, 314)(86, 289)(87, 315)(88, 290)(89, 316)(90, 293)(91, 319)(92, 295)(93, 320)(94, 296)(95, 299)(96, 321)(97, 322)(98, 301)(99, 303)(100, 305)(101, 323)(102, 324)(103, 307)(104, 309)(105, 312)(106, 313)(107, 317)(108, 318)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1870
Graph:: simple bipartite
	v = 108 e = 216 f = 72
	degree seq :: [ 4^108 ]

E19.1870 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 6, 114, 15, 123, 14, 122, 5, 113)(3, 111, 9, 117, 16, 124, 31, 139, 25, 133, 11, 119)(4, 112, 12, 120, 26, 134, 30, 138, 17, 125, 8, 116)(7, 115, 18, 126, 29, 137, 28, 136, 13, 121, 20, 128)(10, 118, 23, 131, 40, 148, 47, 155, 32, 140, 22, 130)(19, 127, 35, 143, 27, 135, 43, 151, 45, 153, 34, 142)(21, 129, 37, 145, 46, 154, 42, 150, 24, 132, 39, 147)(33, 141, 48, 156, 44, 152, 52, 160, 36, 144, 50, 158)(38, 146, 55, 163, 41, 149, 57, 165, 60, 168, 54, 162)(49, 157, 63, 171, 51, 159, 65, 173, 59, 167, 62, 170)(53, 161, 67, 175, 58, 166, 71, 179, 56, 164, 69, 177)(61, 169, 73, 181, 66, 174, 77, 185, 64, 172, 75, 183)(68, 176, 81, 189, 70, 178, 83, 191, 72, 180, 80, 188)(74, 182, 87, 195, 76, 184, 89, 197, 78, 186, 86, 194)(79, 187, 91, 199, 84, 192, 95, 203, 82, 190, 93, 201)(85, 193, 97, 205, 90, 198, 101, 209, 88, 196, 99, 207)(92, 200, 104, 212, 94, 202, 105, 213, 96, 204, 103, 211)(98, 206, 107, 215, 100, 208, 108, 216, 102, 210, 106, 214)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 226, 334)(221, 329, 229, 337)(222, 330, 232, 340)(224, 332, 235, 343)(225, 333, 237, 345)(227, 335, 240, 348)(228, 336, 243, 351)(230, 338, 241, 349)(231, 339, 245, 353)(233, 341, 248, 356)(234, 342, 249, 357)(236, 344, 252, 360)(238, 346, 254, 362)(239, 347, 257, 365)(242, 350, 256, 364)(244, 352, 260, 368)(246, 354, 261, 369)(247, 355, 262, 370)(250, 358, 265, 373)(251, 359, 267, 375)(253, 361, 269, 377)(255, 363, 272, 380)(258, 366, 274, 382)(259, 367, 275, 383)(263, 371, 276, 384)(264, 372, 277, 385)(266, 374, 280, 388)(268, 376, 282, 390)(270, 378, 284, 392)(271, 379, 286, 394)(273, 381, 288, 396)(278, 386, 290, 398)(279, 387, 292, 400)(281, 389, 294, 402)(283, 391, 295, 403)(285, 393, 298, 406)(287, 395, 300, 408)(289, 397, 301, 409)(291, 399, 304, 412)(293, 401, 306, 414)(296, 404, 308, 416)(297, 405, 310, 418)(299, 407, 312, 420)(302, 410, 314, 422)(303, 411, 316, 424)(305, 413, 318, 426)(307, 415, 317, 425)(309, 417, 313, 421)(311, 419, 315, 423)(319, 427, 324, 432)(320, 428, 322, 430)(321, 429, 323, 431)
	L = (1, 220)(2, 224)(3, 226)(4, 217)(5, 228)(6, 233)(7, 235)(8, 218)(9, 238)(10, 219)(11, 239)(12, 221)(13, 243)(14, 242)(15, 246)(16, 248)(17, 222)(18, 250)(19, 223)(20, 251)(21, 254)(22, 225)(23, 227)(24, 257)(25, 256)(26, 230)(27, 229)(28, 259)(29, 261)(30, 231)(31, 263)(32, 232)(33, 265)(34, 234)(35, 236)(36, 267)(37, 270)(38, 237)(39, 271)(40, 241)(41, 240)(42, 273)(43, 244)(44, 275)(45, 245)(46, 276)(47, 247)(48, 278)(49, 249)(50, 279)(51, 252)(52, 281)(53, 284)(54, 253)(55, 255)(56, 286)(57, 258)(58, 288)(59, 260)(60, 262)(61, 290)(62, 264)(63, 266)(64, 292)(65, 268)(66, 294)(67, 296)(68, 269)(69, 297)(70, 272)(71, 299)(72, 274)(73, 302)(74, 277)(75, 303)(76, 280)(77, 305)(78, 282)(79, 308)(80, 283)(81, 285)(82, 310)(83, 287)(84, 312)(85, 314)(86, 289)(87, 291)(88, 316)(89, 293)(90, 318)(91, 319)(92, 295)(93, 320)(94, 298)(95, 321)(96, 300)(97, 322)(98, 301)(99, 323)(100, 304)(101, 324)(102, 306)(103, 307)(104, 309)(105, 311)(106, 313)(107, 315)(108, 317)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1869
Graph:: simple bipartite
	v = 72 e = 216 f = 108
	degree seq :: [ 4^54, 12^18 ]

E19.1871 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y3)^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^6, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 6, 114, 15, 123, 14, 122, 5, 113)(3, 111, 9, 117, 21, 129, 32, 140, 16, 124, 11, 119)(4, 112, 12, 120, 26, 134, 30, 138, 17, 125, 8, 116)(7, 115, 18, 126, 13, 121, 28, 136, 29, 137, 20, 128)(10, 118, 24, 132, 31, 139, 46, 154, 37, 145, 23, 131)(19, 127, 35, 143, 45, 153, 43, 151, 27, 135, 34, 142)(22, 130, 38, 146, 25, 133, 42, 150, 47, 155, 40, 148)(33, 141, 48, 156, 36, 144, 52, 160, 44, 152, 50, 158)(39, 147, 55, 163, 60, 168, 57, 165, 41, 149, 54, 162)(49, 157, 63, 171, 59, 167, 65, 173, 51, 159, 62, 170)(53, 161, 67, 175, 56, 164, 71, 179, 58, 166, 69, 177)(61, 169, 73, 181, 64, 172, 77, 185, 66, 174, 75, 183)(68, 176, 81, 189, 72, 180, 83, 191, 70, 178, 80, 188)(74, 182, 87, 195, 78, 186, 89, 197, 76, 184, 86, 194)(79, 187, 91, 199, 82, 190, 95, 203, 84, 192, 93, 201)(85, 193, 97, 205, 88, 196, 101, 209, 90, 198, 99, 207)(92, 200, 105, 213, 96, 204, 107, 215, 94, 202, 104, 212)(98, 206, 108, 216, 102, 210, 103, 211, 100, 208, 106, 214)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 226, 334)(221, 329, 229, 337)(222, 330, 232, 340)(224, 332, 235, 343)(225, 333, 238, 346)(227, 335, 241, 349)(228, 336, 243, 351)(230, 338, 237, 345)(231, 339, 245, 353)(233, 341, 247, 355)(234, 342, 249, 357)(236, 344, 252, 360)(239, 347, 255, 363)(240, 348, 257, 365)(242, 350, 253, 361)(244, 352, 260, 368)(246, 354, 261, 369)(248, 356, 263, 371)(250, 358, 265, 373)(251, 359, 267, 375)(254, 362, 269, 377)(256, 364, 272, 380)(258, 366, 274, 382)(259, 367, 275, 383)(262, 370, 276, 384)(264, 372, 277, 385)(266, 374, 280, 388)(268, 376, 282, 390)(270, 378, 284, 392)(271, 379, 286, 394)(273, 381, 288, 396)(278, 386, 290, 398)(279, 387, 292, 400)(281, 389, 294, 402)(283, 391, 295, 403)(285, 393, 298, 406)(287, 395, 300, 408)(289, 397, 301, 409)(291, 399, 304, 412)(293, 401, 306, 414)(296, 404, 308, 416)(297, 405, 310, 418)(299, 407, 312, 420)(302, 410, 314, 422)(303, 411, 316, 424)(305, 413, 318, 426)(307, 415, 319, 427)(309, 417, 322, 430)(311, 419, 324, 432)(313, 421, 321, 429)(315, 423, 323, 431)(317, 425, 320, 428)
	L = (1, 220)(2, 224)(3, 226)(4, 217)(5, 228)(6, 233)(7, 235)(8, 218)(9, 239)(10, 219)(11, 240)(12, 221)(13, 243)(14, 242)(15, 246)(16, 247)(17, 222)(18, 250)(19, 223)(20, 251)(21, 253)(22, 255)(23, 225)(24, 227)(25, 257)(26, 230)(27, 229)(28, 259)(29, 261)(30, 231)(31, 232)(32, 262)(33, 265)(34, 234)(35, 236)(36, 267)(37, 237)(38, 270)(39, 238)(40, 271)(41, 241)(42, 273)(43, 244)(44, 275)(45, 245)(46, 248)(47, 276)(48, 278)(49, 249)(50, 279)(51, 252)(52, 281)(53, 284)(54, 254)(55, 256)(56, 286)(57, 258)(58, 288)(59, 260)(60, 263)(61, 290)(62, 264)(63, 266)(64, 292)(65, 268)(66, 294)(67, 296)(68, 269)(69, 297)(70, 272)(71, 299)(72, 274)(73, 302)(74, 277)(75, 303)(76, 280)(77, 305)(78, 282)(79, 308)(80, 283)(81, 285)(82, 310)(83, 287)(84, 312)(85, 314)(86, 289)(87, 291)(88, 316)(89, 293)(90, 318)(91, 320)(92, 295)(93, 321)(94, 298)(95, 323)(96, 300)(97, 322)(98, 301)(99, 324)(100, 304)(101, 319)(102, 306)(103, 317)(104, 307)(105, 309)(106, 313)(107, 311)(108, 315)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1867
Graph:: simple bipartite
	v = 72 e = 216 f = 108
	degree seq :: [ 4^54, 12^18 ]

E19.1872 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, Y1^2 * Y3^-1, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 109, 2, 110, 4, 112, 8, 116, 6, 114, 5, 113)(3, 111, 9, 117, 10, 118, 18, 126, 12, 120, 11, 119)(7, 115, 14, 122, 13, 121, 20, 128, 16, 124, 15, 123)(17, 125, 23, 131, 19, 127, 26, 134, 25, 133, 24, 132)(21, 129, 28, 136, 22, 130, 30, 138, 27, 135, 29, 137)(31, 139, 37, 145, 32, 140, 39, 147, 33, 141, 38, 146)(34, 142, 40, 148, 35, 143, 42, 150, 36, 144, 41, 149)(43, 151, 49, 157, 44, 152, 51, 159, 45, 153, 50, 158)(46, 154, 76, 184, 47, 155, 77, 185, 48, 156, 78, 186)(52, 160, 82, 190, 56, 164, 86, 194, 54, 162, 83, 191)(53, 161, 84, 192, 55, 163, 87, 195, 57, 165, 85, 193)(58, 166, 88, 196, 59, 167, 90, 198, 62, 170, 89, 197)(60, 168, 91, 199, 61, 169, 93, 201, 63, 171, 92, 200)(64, 172, 94, 202, 65, 173, 96, 204, 66, 174, 95, 203)(67, 175, 97, 205, 68, 176, 99, 207, 69, 177, 98, 206)(70, 178, 100, 208, 71, 179, 102, 210, 72, 180, 101, 209)(73, 181, 103, 211, 74, 182, 105, 213, 75, 183, 104, 212)(79, 187, 108, 216, 80, 188, 107, 215, 81, 189, 106, 214)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 228, 336)(221, 329, 229, 337)(222, 330, 226, 334)(224, 332, 232, 340)(225, 333, 233, 341)(227, 335, 235, 343)(230, 338, 237, 345)(231, 339, 238, 346)(234, 342, 241, 349)(236, 344, 243, 351)(239, 347, 247, 355)(240, 348, 248, 356)(242, 350, 249, 357)(244, 352, 250, 358)(245, 353, 251, 359)(246, 354, 252, 360)(253, 361, 259, 367)(254, 362, 260, 368)(255, 363, 261, 369)(256, 364, 262, 370)(257, 365, 263, 371)(258, 366, 264, 372)(265, 373, 270, 378)(266, 374, 268, 376)(267, 375, 272, 380)(269, 377, 294, 402)(271, 379, 293, 401)(273, 381, 292, 400)(274, 382, 302, 410)(275, 383, 298, 406)(276, 384, 303, 411)(277, 385, 300, 408)(278, 386, 299, 407)(279, 387, 301, 409)(280, 388, 306, 414)(281, 389, 304, 412)(282, 390, 305, 413)(283, 391, 309, 417)(284, 392, 307, 415)(285, 393, 308, 416)(286, 394, 312, 420)(287, 395, 310, 418)(288, 396, 311, 419)(289, 397, 315, 423)(290, 398, 313, 421)(291, 399, 314, 422)(295, 403, 318, 426)(296, 404, 316, 424)(297, 405, 317, 425)(319, 427, 324, 432)(320, 428, 323, 431)(321, 429, 322, 430)
	L = (1, 220)(2, 224)(3, 226)(4, 222)(5, 218)(6, 217)(7, 229)(8, 221)(9, 234)(10, 228)(11, 225)(12, 219)(13, 232)(14, 236)(15, 230)(16, 223)(17, 235)(18, 227)(19, 241)(20, 231)(21, 238)(22, 243)(23, 242)(24, 239)(25, 233)(26, 240)(27, 237)(28, 246)(29, 244)(30, 245)(31, 248)(32, 249)(33, 247)(34, 251)(35, 252)(36, 250)(37, 255)(38, 253)(39, 254)(40, 258)(41, 256)(42, 257)(43, 260)(44, 261)(45, 259)(46, 263)(47, 264)(48, 262)(49, 267)(50, 265)(51, 266)(52, 272)(53, 271)(54, 268)(55, 273)(56, 270)(57, 269)(58, 275)(59, 278)(60, 277)(61, 279)(62, 274)(63, 276)(64, 281)(65, 282)(66, 280)(67, 284)(68, 285)(69, 283)(70, 287)(71, 288)(72, 286)(73, 290)(74, 291)(75, 289)(76, 293)(77, 294)(78, 292)(79, 296)(80, 297)(81, 295)(82, 302)(83, 298)(84, 303)(85, 300)(86, 299)(87, 301)(88, 306)(89, 304)(90, 305)(91, 309)(92, 307)(93, 308)(94, 312)(95, 310)(96, 311)(97, 315)(98, 313)(99, 314)(100, 318)(101, 316)(102, 317)(103, 321)(104, 319)(105, 320)(106, 324)(107, 322)(108, 323)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1868
Graph:: bipartite
	v = 72 e = 216 f = 108
	degree seq :: [ 4^54, 12^18 ]

E19.1873 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2 * Y1 * Y3 * Y1)^2, (Y2 * Y1 * Y2 * Y1 * Y3 * Y1)^2, (Y3 * Y1)^6, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 110, 2, 109)(3, 115, 7, 111)(4, 117, 9, 112)(5, 119, 11, 113)(6, 121, 13, 114)(8, 125, 17, 116)(10, 129, 21, 118)(12, 132, 24, 120)(14, 136, 28, 122)(15, 137, 29, 123)(16, 139, 31, 124)(18, 143, 35, 126)(19, 144, 36, 127)(20, 146, 38, 128)(22, 150, 42, 130)(23, 152, 44, 131)(25, 156, 48, 133)(26, 157, 49, 134)(27, 159, 51, 135)(30, 165, 57, 138)(32, 162, 54, 140)(33, 158, 50, 141)(34, 170, 62, 142)(37, 154, 46, 145)(39, 178, 70, 147)(40, 179, 71, 148)(41, 153, 45, 149)(43, 184, 76, 151)(47, 189, 81, 155)(52, 197, 89, 160)(53, 198, 90, 161)(55, 182, 74, 163)(56, 193, 85, 164)(58, 203, 95, 166)(59, 186, 78, 167)(60, 195, 87, 168)(61, 188, 80, 169)(63, 199, 91, 171)(64, 206, 98, 172)(65, 202, 94, 173)(66, 183, 75, 174)(67, 201, 93, 175)(68, 187, 79, 176)(69, 196, 88, 177)(72, 190, 82, 180)(73, 200, 92, 181)(77, 209, 101, 185)(83, 212, 104, 191)(84, 208, 100, 192)(86, 207, 99, 194)(96, 211, 103, 204)(97, 210, 102, 205)(105, 216, 108, 213)(106, 215, 107, 214)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 22)(12, 25)(13, 26)(16, 32)(17, 33)(20, 39)(21, 40)(23, 45)(24, 46)(27, 52)(28, 53)(29, 55)(30, 58)(31, 59)(34, 63)(35, 64)(36, 66)(37, 67)(38, 68)(41, 73)(42, 74)(43, 77)(44, 78)(47, 82)(48, 83)(49, 85)(50, 86)(51, 87)(54, 92)(56, 94)(57, 80)(60, 96)(61, 76)(62, 97)(65, 90)(69, 95)(70, 91)(71, 84)(72, 89)(75, 100)(79, 102)(81, 103)(88, 101)(93, 105)(98, 106)(99, 107)(104, 108)(109, 112)(110, 114)(111, 116)(113, 120)(115, 124)(117, 128)(118, 126)(119, 131)(121, 135)(122, 133)(123, 138)(125, 142)(127, 145)(129, 149)(130, 151)(132, 155)(134, 158)(136, 162)(137, 164)(139, 168)(140, 166)(141, 169)(143, 173)(144, 167)(146, 177)(147, 175)(148, 180)(150, 183)(152, 187)(153, 185)(154, 188)(156, 192)(157, 186)(159, 196)(160, 194)(161, 199)(163, 201)(165, 190)(170, 191)(171, 184)(172, 189)(174, 204)(176, 206)(178, 200)(179, 205)(181, 197)(182, 207)(193, 210)(195, 212)(198, 211)(202, 213)(203, 214)(208, 215)(209, 216)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1874
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 54 e = 108 f = 18
	degree seq :: [ 4^54 ]

E19.1874 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^2 * Y3 * Y1^-2 * Y2, (Y3 * Y2)^3, (Y3 * Y1^-1 * Y2)^2, Y1^6, Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1^-2, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 110, 2, 114, 6, 126, 18, 125, 17, 113, 5, 109)(3, 117, 9, 128, 20, 159, 51, 141, 33, 119, 11, 111)(4, 120, 12, 142, 34, 180, 72, 148, 40, 122, 14, 112)(7, 129, 21, 155, 47, 187, 79, 167, 59, 131, 23, 115)(8, 132, 24, 168, 60, 149, 41, 123, 15, 134, 26, 116)(10, 137, 29, 157, 49, 151, 43, 171, 63, 133, 25, 118)(13, 145, 37, 160, 52, 130, 22, 163, 55, 146, 38, 121)(16, 150, 42, 164, 56, 186, 78, 154, 46, 152, 44, 124)(19, 156, 48, 153, 45, 177, 69, 138, 30, 158, 50, 127)(27, 173, 65, 143, 35, 182, 74, 188, 80, 174, 66, 135)(28, 175, 67, 144, 36, 178, 70, 139, 31, 176, 68, 136)(32, 179, 71, 147, 39, 183, 75, 189, 81, 181, 73, 140)(53, 190, 82, 169, 61, 197, 89, 184, 76, 191, 83, 161)(54, 192, 84, 170, 62, 194, 86, 165, 57, 193, 85, 162)(58, 195, 87, 172, 64, 198, 90, 185, 77, 196, 88, 166)(91, 214, 106, 203, 95, 216, 108, 206, 98, 211, 103, 199)(92, 213, 105, 204, 96, 210, 102, 201, 93, 209, 101, 200)(94, 212, 104, 205, 97, 215, 107, 207, 99, 208, 100, 202)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 30)(11, 31)(12, 35)(14, 28)(16, 43)(17, 40)(18, 46)(20, 52)(21, 53)(22, 56)(23, 57)(24, 61)(26, 54)(29, 47)(32, 72)(33, 63)(34, 49)(36, 69)(37, 59)(38, 60)(39, 48)(41, 58)(42, 62)(44, 64)(45, 55)(50, 80)(51, 81)(65, 91)(66, 93)(67, 95)(68, 92)(70, 94)(71, 96)(73, 97)(74, 99)(75, 98)(76, 78)(77, 79)(82, 100)(83, 102)(84, 104)(85, 101)(86, 103)(87, 105)(88, 106)(89, 108)(90, 107)(109, 112)(110, 116)(111, 118)(113, 124)(114, 128)(115, 130)(117, 136)(119, 140)(120, 144)(121, 138)(122, 147)(123, 145)(125, 153)(126, 155)(127, 157)(129, 162)(131, 166)(132, 170)(133, 164)(134, 172)(135, 156)(137, 168)(139, 158)(141, 163)(142, 160)(143, 159)(146, 154)(148, 171)(149, 184)(150, 185)(151, 167)(152, 161)(165, 186)(169, 187)(173, 200)(174, 202)(175, 204)(176, 205)(177, 189)(178, 206)(179, 207)(180, 188)(181, 199)(182, 203)(183, 201)(190, 209)(191, 211)(192, 213)(193, 214)(194, 215)(195, 216)(196, 208)(197, 212)(198, 210)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1873
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 54
	degree seq :: [ 12^18 ]

E19.1875 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2)^3, Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2, (Y3 * Y2 * Y3 * Y1 * Y3 * Y2)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, (Y3 * Y1 * Y3 * Y1 * Y3 * Y2)^2, (Y3 * Y2)^6, (Y3 * Y1)^6 ]
Map:: polytopal
	R = (1, 109, 4, 112)(2, 110, 6, 114)(3, 111, 8, 116)(5, 113, 12, 120)(7, 115, 15, 123)(9, 117, 19, 127)(10, 118, 21, 129)(11, 119, 22, 130)(13, 121, 26, 134)(14, 122, 28, 136)(16, 124, 32, 140)(17, 125, 34, 142)(18, 126, 36, 144)(20, 128, 39, 147)(23, 131, 45, 153)(24, 132, 47, 155)(25, 133, 49, 157)(27, 135, 52, 160)(29, 137, 56, 164)(30, 138, 58, 166)(31, 139, 60, 168)(33, 141, 62, 170)(35, 143, 65, 173)(37, 145, 68, 176)(38, 146, 69, 177)(40, 148, 71, 179)(41, 149, 73, 181)(42, 150, 75, 183)(43, 151, 77, 185)(44, 152, 79, 187)(46, 154, 81, 189)(48, 156, 84, 192)(50, 158, 87, 195)(51, 159, 88, 196)(53, 161, 90, 198)(54, 162, 92, 200)(55, 163, 85, 193)(57, 165, 89, 197)(59, 167, 86, 194)(61, 169, 96, 204)(63, 171, 97, 205)(64, 172, 98, 206)(66, 174, 74, 182)(67, 175, 78, 186)(70, 178, 76, 184)(72, 180, 93, 201)(80, 188, 102, 210)(82, 190, 103, 211)(83, 191, 104, 212)(91, 199, 99, 207)(94, 202, 105, 213)(95, 203, 106, 214)(100, 208, 107, 215)(101, 209, 108, 216)(217, 218)(219, 223)(220, 225)(221, 227)(222, 229)(224, 232)(226, 236)(228, 239)(230, 243)(231, 245)(233, 249)(234, 251)(235, 253)(237, 256)(238, 258)(240, 262)(241, 264)(242, 266)(244, 269)(246, 273)(247, 275)(248, 277)(250, 279)(252, 276)(254, 274)(255, 286)(257, 288)(259, 292)(260, 294)(261, 296)(263, 298)(265, 295)(267, 293)(268, 305)(270, 307)(271, 309)(272, 310)(278, 297)(280, 300)(281, 299)(282, 301)(283, 311)(284, 303)(285, 306)(287, 304)(289, 308)(290, 315)(291, 316)(302, 317)(312, 321)(313, 319)(314, 322)(318, 323)(320, 324)(325, 327)(326, 329)(328, 334)(330, 338)(331, 335)(332, 341)(333, 342)(336, 348)(337, 349)(339, 354)(340, 355)(343, 362)(344, 359)(345, 365)(346, 367)(347, 368)(350, 375)(351, 372)(352, 378)(353, 379)(356, 377)(357, 383)(358, 388)(360, 390)(361, 391)(363, 376)(364, 369)(366, 398)(370, 402)(371, 407)(373, 409)(374, 410)(380, 406)(381, 417)(382, 419)(384, 403)(385, 415)(386, 413)(387, 399)(389, 418)(392, 420)(393, 421)(394, 405)(395, 414)(396, 404)(397, 422)(400, 423)(401, 425)(408, 424)(411, 426)(412, 427)(416, 428)(429, 431)(430, 432)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1878
Graph:: simple bipartite
	v = 162 e = 216 f = 18
	degree seq :: [ 2^108, 4^54 ]

E19.1876 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^2 * Y1 * Y3^-2, (Y2 * Y1)^3, Y3^6, (Y2 * Y3 * Y1)^2, Y3^3 * Y1 * Y2 * Y3^-1 * Y1 * Y2, Y3 * Y1 * Y3^2 * Y2 * Y3 * Y2 * Y1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1, (Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1)^2 ]
Map:: polytopal
	R = (1, 109, 4, 112, 14, 122, 40, 148, 17, 125, 5, 113)(2, 110, 7, 115, 23, 131, 59, 167, 26, 134, 8, 116)(3, 111, 10, 118, 30, 138, 55, 163, 33, 141, 11, 119)(6, 114, 19, 127, 49, 157, 36, 144, 52, 160, 20, 128)(9, 117, 27, 135, 58, 166, 41, 149, 64, 172, 28, 136)(12, 120, 34, 142, 51, 159, 44, 152, 16, 124, 35, 143)(13, 121, 37, 145, 65, 173, 80, 188, 48, 156, 38, 146)(15, 123, 42, 150, 66, 174, 81, 189, 50, 158, 43, 151)(18, 126, 46, 154, 39, 147, 60, 168, 45, 153, 47, 155)(21, 129, 53, 161, 32, 140, 63, 171, 25, 133, 54, 162)(22, 130, 56, 164, 78, 186, 67, 175, 29, 137, 57, 165)(24, 132, 61, 169, 79, 187, 68, 176, 31, 139, 62, 170)(69, 177, 91, 199, 75, 183, 97, 205, 72, 180, 92, 200)(70, 178, 93, 201, 77, 185, 98, 206, 73, 181, 94, 202)(71, 179, 95, 203, 76, 184, 99, 207, 74, 182, 96, 204)(82, 190, 100, 208, 88, 196, 106, 214, 85, 193, 101, 209)(83, 191, 102, 210, 90, 198, 107, 215, 86, 194, 103, 211)(84, 192, 104, 212, 89, 197, 108, 216, 87, 195, 105, 213)(217, 218)(219, 225)(220, 228)(221, 231)(222, 234)(223, 237)(224, 240)(226, 241)(227, 247)(229, 252)(230, 246)(232, 235)(233, 261)(236, 266)(238, 271)(239, 265)(242, 280)(243, 267)(244, 282)(245, 276)(248, 262)(249, 268)(250, 285)(251, 287)(253, 288)(254, 290)(255, 274)(256, 281)(257, 264)(258, 292)(259, 289)(260, 293)(263, 295)(269, 298)(270, 300)(272, 301)(273, 303)(275, 294)(277, 305)(278, 302)(279, 306)(283, 299)(284, 304)(286, 296)(291, 297)(307, 323)(308, 321)(309, 318)(310, 324)(311, 320)(312, 317)(313, 322)(314, 316)(315, 319)(325, 327)(326, 330)(328, 337)(329, 340)(331, 346)(332, 349)(333, 342)(334, 353)(335, 356)(336, 352)(338, 363)(339, 365)(341, 350)(343, 372)(344, 375)(345, 371)(347, 382)(348, 384)(351, 389)(354, 373)(355, 383)(357, 388)(358, 394)(359, 396)(360, 390)(361, 397)(362, 399)(364, 374)(366, 393)(367, 395)(368, 398)(369, 376)(370, 402)(377, 407)(378, 409)(379, 403)(380, 410)(381, 412)(385, 406)(386, 408)(387, 411)(391, 413)(392, 414)(400, 404)(401, 405)(415, 424)(416, 426)(417, 425)(418, 427)(419, 431)(420, 429)(421, 432)(422, 428)(423, 430)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1877
Graph:: simple bipartite
	v = 126 e = 216 f = 54
	degree seq :: [ 2^108, 12^18 ]

E19.1877 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2)^3, Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2, (Y3 * Y2 * Y3 * Y1 * Y3 * Y2)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, (Y3 * Y1 * Y3 * Y1 * Y3 * Y2)^2, (Y3 * Y2)^6, (Y3 * Y1)^6 ]
Map::
	R = (1, 109, 217, 325, 4, 112, 220, 328)(2, 110, 218, 326, 6, 114, 222, 330)(3, 111, 219, 327, 8, 116, 224, 332)(5, 113, 221, 329, 12, 120, 228, 336)(7, 115, 223, 331, 15, 123, 231, 339)(9, 117, 225, 333, 19, 127, 235, 343)(10, 118, 226, 334, 21, 129, 237, 345)(11, 119, 227, 335, 22, 130, 238, 346)(13, 121, 229, 337, 26, 134, 242, 350)(14, 122, 230, 338, 28, 136, 244, 352)(16, 124, 232, 340, 32, 140, 248, 356)(17, 125, 233, 341, 34, 142, 250, 358)(18, 126, 234, 342, 36, 144, 252, 360)(20, 128, 236, 344, 39, 147, 255, 363)(23, 131, 239, 347, 45, 153, 261, 369)(24, 132, 240, 348, 47, 155, 263, 371)(25, 133, 241, 349, 49, 157, 265, 373)(27, 135, 243, 351, 52, 160, 268, 376)(29, 137, 245, 353, 56, 164, 272, 380)(30, 138, 246, 354, 58, 166, 274, 382)(31, 139, 247, 355, 60, 168, 276, 384)(33, 141, 249, 357, 62, 170, 278, 386)(35, 143, 251, 359, 65, 173, 281, 389)(37, 145, 253, 361, 68, 176, 284, 392)(38, 146, 254, 362, 69, 177, 285, 393)(40, 148, 256, 364, 71, 179, 287, 395)(41, 149, 257, 365, 73, 181, 289, 397)(42, 150, 258, 366, 75, 183, 291, 399)(43, 151, 259, 367, 77, 185, 293, 401)(44, 152, 260, 368, 79, 187, 295, 403)(46, 154, 262, 370, 81, 189, 297, 405)(48, 156, 264, 372, 84, 192, 300, 408)(50, 158, 266, 374, 87, 195, 303, 411)(51, 159, 267, 375, 88, 196, 304, 412)(53, 161, 269, 377, 90, 198, 306, 414)(54, 162, 270, 378, 92, 200, 308, 416)(55, 163, 271, 379, 85, 193, 301, 409)(57, 165, 273, 381, 89, 197, 305, 413)(59, 167, 275, 383, 86, 194, 302, 410)(61, 169, 277, 385, 96, 204, 312, 420)(63, 171, 279, 387, 97, 205, 313, 421)(64, 172, 280, 388, 98, 206, 314, 422)(66, 174, 282, 390, 74, 182, 290, 398)(67, 175, 283, 391, 78, 186, 294, 402)(70, 178, 286, 394, 76, 184, 292, 400)(72, 180, 288, 396, 93, 201, 309, 417)(80, 188, 296, 404, 102, 210, 318, 426)(82, 190, 298, 406, 103, 211, 319, 427)(83, 191, 299, 407, 104, 212, 320, 428)(91, 199, 307, 415, 99, 207, 315, 423)(94, 202, 310, 418, 105, 213, 321, 429)(95, 203, 311, 419, 106, 214, 322, 430)(100, 208, 316, 424, 107, 215, 323, 431)(101, 209, 317, 425, 108, 216, 324, 432)
	L = (1, 110)(2, 109)(3, 115)(4, 117)(5, 119)(6, 121)(7, 111)(8, 124)(9, 112)(10, 128)(11, 113)(12, 131)(13, 114)(14, 135)(15, 137)(16, 116)(17, 141)(18, 143)(19, 145)(20, 118)(21, 148)(22, 150)(23, 120)(24, 154)(25, 156)(26, 158)(27, 122)(28, 161)(29, 123)(30, 165)(31, 167)(32, 169)(33, 125)(34, 171)(35, 126)(36, 168)(37, 127)(38, 166)(39, 178)(40, 129)(41, 180)(42, 130)(43, 184)(44, 186)(45, 188)(46, 132)(47, 190)(48, 133)(49, 187)(50, 134)(51, 185)(52, 197)(53, 136)(54, 199)(55, 201)(56, 202)(57, 138)(58, 146)(59, 139)(60, 144)(61, 140)(62, 189)(63, 142)(64, 192)(65, 191)(66, 193)(67, 203)(68, 195)(69, 198)(70, 147)(71, 196)(72, 149)(73, 200)(74, 207)(75, 208)(76, 151)(77, 159)(78, 152)(79, 157)(80, 153)(81, 170)(82, 155)(83, 173)(84, 172)(85, 174)(86, 209)(87, 176)(88, 179)(89, 160)(90, 177)(91, 162)(92, 181)(93, 163)(94, 164)(95, 175)(96, 213)(97, 211)(98, 214)(99, 182)(100, 183)(101, 194)(102, 215)(103, 205)(104, 216)(105, 204)(106, 206)(107, 210)(108, 212)(217, 327)(218, 329)(219, 325)(220, 334)(221, 326)(222, 338)(223, 335)(224, 341)(225, 342)(226, 328)(227, 331)(228, 348)(229, 349)(230, 330)(231, 354)(232, 355)(233, 332)(234, 333)(235, 362)(236, 359)(237, 365)(238, 367)(239, 368)(240, 336)(241, 337)(242, 375)(243, 372)(244, 378)(245, 379)(246, 339)(247, 340)(248, 377)(249, 383)(250, 388)(251, 344)(252, 390)(253, 391)(254, 343)(255, 376)(256, 369)(257, 345)(258, 398)(259, 346)(260, 347)(261, 364)(262, 402)(263, 407)(264, 351)(265, 409)(266, 410)(267, 350)(268, 363)(269, 356)(270, 352)(271, 353)(272, 406)(273, 417)(274, 419)(275, 357)(276, 403)(277, 415)(278, 413)(279, 399)(280, 358)(281, 418)(282, 360)(283, 361)(284, 420)(285, 421)(286, 405)(287, 414)(288, 404)(289, 422)(290, 366)(291, 387)(292, 423)(293, 425)(294, 370)(295, 384)(296, 396)(297, 394)(298, 380)(299, 371)(300, 424)(301, 373)(302, 374)(303, 426)(304, 427)(305, 386)(306, 395)(307, 385)(308, 428)(309, 381)(310, 389)(311, 382)(312, 392)(313, 393)(314, 397)(315, 400)(316, 408)(317, 401)(318, 411)(319, 412)(320, 416)(321, 431)(322, 432)(323, 429)(324, 430)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1876
Transitivity :: VT+
Graph:: bipartite
	v = 54 e = 216 f = 126
	degree seq :: [ 8^54 ]

E19.1878 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^2 * Y1 * Y3^-2, (Y2 * Y1)^3, Y3^6, (Y2 * Y3 * Y1)^2, Y3^3 * Y1 * Y2 * Y3^-1 * Y1 * Y2, Y3 * Y1 * Y3^2 * Y2 * Y3 * Y2 * Y1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1, (Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 109, 217, 325, 4, 112, 220, 328, 14, 122, 230, 338, 40, 148, 256, 364, 17, 125, 233, 341, 5, 113, 221, 329)(2, 110, 218, 326, 7, 115, 223, 331, 23, 131, 239, 347, 59, 167, 275, 383, 26, 134, 242, 350, 8, 116, 224, 332)(3, 111, 219, 327, 10, 118, 226, 334, 30, 138, 246, 354, 55, 163, 271, 379, 33, 141, 249, 357, 11, 119, 227, 335)(6, 114, 222, 330, 19, 127, 235, 343, 49, 157, 265, 373, 36, 144, 252, 360, 52, 160, 268, 376, 20, 128, 236, 344)(9, 117, 225, 333, 27, 135, 243, 351, 58, 166, 274, 382, 41, 149, 257, 365, 64, 172, 280, 388, 28, 136, 244, 352)(12, 120, 228, 336, 34, 142, 250, 358, 51, 159, 267, 375, 44, 152, 260, 368, 16, 124, 232, 340, 35, 143, 251, 359)(13, 121, 229, 337, 37, 145, 253, 361, 65, 173, 281, 389, 80, 188, 296, 404, 48, 156, 264, 372, 38, 146, 254, 362)(15, 123, 231, 339, 42, 150, 258, 366, 66, 174, 282, 390, 81, 189, 297, 405, 50, 158, 266, 374, 43, 151, 259, 367)(18, 126, 234, 342, 46, 154, 262, 370, 39, 147, 255, 363, 60, 168, 276, 384, 45, 153, 261, 369, 47, 155, 263, 371)(21, 129, 237, 345, 53, 161, 269, 377, 32, 140, 248, 356, 63, 171, 279, 387, 25, 133, 241, 349, 54, 162, 270, 378)(22, 130, 238, 346, 56, 164, 272, 380, 78, 186, 294, 402, 67, 175, 283, 391, 29, 137, 245, 353, 57, 165, 273, 381)(24, 132, 240, 348, 61, 169, 277, 385, 79, 187, 295, 403, 68, 176, 284, 392, 31, 139, 247, 355, 62, 170, 278, 386)(69, 177, 285, 393, 91, 199, 307, 415, 75, 183, 291, 399, 97, 205, 313, 421, 72, 180, 288, 396, 92, 200, 308, 416)(70, 178, 286, 394, 93, 201, 309, 417, 77, 185, 293, 401, 98, 206, 314, 422, 73, 181, 289, 397, 94, 202, 310, 418)(71, 179, 287, 395, 95, 203, 311, 419, 76, 184, 292, 400, 99, 207, 315, 423, 74, 182, 290, 398, 96, 204, 312, 420)(82, 190, 298, 406, 100, 208, 316, 424, 88, 196, 304, 412, 106, 214, 322, 430, 85, 193, 301, 409, 101, 209, 317, 425)(83, 191, 299, 407, 102, 210, 318, 426, 90, 198, 306, 414, 107, 215, 323, 431, 86, 194, 302, 410, 103, 211, 319, 427)(84, 192, 300, 408, 104, 212, 320, 428, 89, 197, 305, 413, 108, 216, 324, 432, 87, 195, 303, 411, 105, 213, 321, 429)
	L = (1, 110)(2, 109)(3, 117)(4, 120)(5, 123)(6, 126)(7, 129)(8, 132)(9, 111)(10, 133)(11, 139)(12, 112)(13, 144)(14, 138)(15, 113)(16, 127)(17, 153)(18, 114)(19, 124)(20, 158)(21, 115)(22, 163)(23, 157)(24, 116)(25, 118)(26, 172)(27, 159)(28, 174)(29, 168)(30, 122)(31, 119)(32, 154)(33, 160)(34, 177)(35, 179)(36, 121)(37, 180)(38, 182)(39, 166)(40, 173)(41, 156)(42, 184)(43, 181)(44, 185)(45, 125)(46, 140)(47, 187)(48, 149)(49, 131)(50, 128)(51, 135)(52, 141)(53, 190)(54, 192)(55, 130)(56, 193)(57, 195)(58, 147)(59, 186)(60, 137)(61, 197)(62, 194)(63, 198)(64, 134)(65, 148)(66, 136)(67, 191)(68, 196)(69, 142)(70, 188)(71, 143)(72, 145)(73, 151)(74, 146)(75, 189)(76, 150)(77, 152)(78, 167)(79, 155)(80, 178)(81, 183)(82, 161)(83, 175)(84, 162)(85, 164)(86, 170)(87, 165)(88, 176)(89, 169)(90, 171)(91, 215)(92, 213)(93, 210)(94, 216)(95, 212)(96, 209)(97, 214)(98, 208)(99, 211)(100, 206)(101, 204)(102, 201)(103, 207)(104, 203)(105, 200)(106, 205)(107, 199)(108, 202)(217, 327)(218, 330)(219, 325)(220, 337)(221, 340)(222, 326)(223, 346)(224, 349)(225, 342)(226, 353)(227, 356)(228, 352)(229, 328)(230, 363)(231, 365)(232, 329)(233, 350)(234, 333)(235, 372)(236, 375)(237, 371)(238, 331)(239, 382)(240, 384)(241, 332)(242, 341)(243, 389)(244, 336)(245, 334)(246, 373)(247, 383)(248, 335)(249, 388)(250, 394)(251, 396)(252, 390)(253, 397)(254, 399)(255, 338)(256, 374)(257, 339)(258, 393)(259, 395)(260, 398)(261, 376)(262, 402)(263, 345)(264, 343)(265, 354)(266, 364)(267, 344)(268, 369)(269, 407)(270, 409)(271, 403)(272, 410)(273, 412)(274, 347)(275, 355)(276, 348)(277, 406)(278, 408)(279, 411)(280, 357)(281, 351)(282, 360)(283, 413)(284, 414)(285, 366)(286, 358)(287, 367)(288, 359)(289, 361)(290, 368)(291, 362)(292, 404)(293, 405)(294, 370)(295, 379)(296, 400)(297, 401)(298, 385)(299, 377)(300, 386)(301, 378)(302, 380)(303, 387)(304, 381)(305, 391)(306, 392)(307, 424)(308, 426)(309, 425)(310, 427)(311, 431)(312, 429)(313, 432)(314, 428)(315, 430)(316, 415)(317, 417)(318, 416)(319, 418)(320, 422)(321, 420)(322, 423)(323, 419)(324, 421)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.1875
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 216 f = 162
	degree seq :: [ 24^18 ]

E19.1879 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1 * Y3)^3, (Y1 * Y3)^6, (Y1 * Y2)^6, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 10, 118)(6, 114, 12, 120)(8, 116, 15, 123)(11, 119, 20, 128)(13, 121, 23, 131)(14, 122, 25, 133)(16, 124, 28, 136)(17, 125, 30, 138)(18, 126, 31, 139)(19, 127, 33, 141)(21, 129, 34, 142)(22, 130, 36, 144)(24, 132, 29, 137)(26, 134, 41, 149)(27, 135, 42, 150)(32, 140, 35, 143)(37, 145, 47, 155)(38, 146, 56, 164)(39, 147, 57, 165)(40, 148, 59, 167)(43, 151, 64, 172)(44, 152, 66, 174)(45, 153, 67, 175)(46, 154, 54, 162)(48, 156, 70, 178)(49, 157, 71, 179)(50, 158, 73, 181)(51, 159, 74, 182)(52, 160, 76, 184)(53, 161, 77, 185)(55, 163, 58, 166)(60, 168, 85, 193)(61, 169, 87, 195)(62, 170, 88, 196)(63, 171, 84, 192)(65, 173, 68, 176)(69, 177, 72, 180)(75, 183, 78, 186)(79, 187, 100, 208)(80, 188, 92, 200)(81, 189, 93, 201)(82, 190, 96, 204)(83, 191, 98, 206)(86, 194, 89, 197)(90, 198, 97, 205)(91, 199, 99, 207)(94, 202, 95, 203)(101, 209, 102, 210)(103, 211, 106, 214)(104, 212, 107, 215)(105, 213, 108, 216)(217, 325, 219, 327)(218, 326, 221, 329)(220, 328, 224, 332)(222, 330, 227, 335)(223, 331, 229, 337)(225, 333, 232, 340)(226, 334, 234, 342)(228, 336, 237, 345)(230, 338, 240, 348)(231, 339, 242, 350)(233, 341, 245, 353)(235, 343, 248, 356)(236, 344, 243, 351)(238, 346, 251, 359)(239, 347, 253, 361)(241, 349, 255, 363)(244, 352, 259, 367)(246, 354, 261, 369)(247, 355, 263, 371)(249, 357, 265, 373)(250, 358, 267, 375)(252, 360, 269, 377)(254, 362, 271, 379)(256, 364, 274, 382)(257, 365, 276, 384)(258, 366, 278, 386)(260, 368, 281, 389)(262, 370, 284, 392)(264, 372, 285, 393)(266, 374, 288, 396)(268, 376, 291, 399)(270, 378, 294, 402)(272, 380, 295, 403)(273, 381, 297, 405)(275, 383, 299, 407)(277, 385, 302, 410)(279, 387, 305, 413)(280, 388, 301, 409)(282, 390, 307, 415)(283, 391, 309, 417)(286, 394, 296, 404)(287, 395, 311, 419)(289, 397, 313, 421)(290, 398, 304, 412)(292, 400, 315, 423)(293, 401, 310, 418)(298, 406, 317, 425)(300, 408, 318, 426)(303, 411, 320, 428)(306, 414, 319, 427)(308, 416, 322, 430)(312, 420, 323, 431)(314, 422, 321, 429)(316, 424, 324, 432)
	L = (1, 220)(2, 222)(3, 224)(4, 217)(5, 227)(6, 218)(7, 230)(8, 219)(9, 233)(10, 235)(11, 221)(12, 238)(13, 240)(14, 223)(15, 243)(16, 245)(17, 225)(18, 248)(19, 226)(20, 242)(21, 251)(22, 228)(23, 254)(24, 229)(25, 256)(26, 236)(27, 231)(28, 260)(29, 232)(30, 262)(31, 264)(32, 234)(33, 266)(34, 268)(35, 237)(36, 270)(37, 271)(38, 239)(39, 274)(40, 241)(41, 277)(42, 279)(43, 281)(44, 244)(45, 284)(46, 246)(47, 285)(48, 247)(49, 288)(50, 249)(51, 291)(52, 250)(53, 294)(54, 252)(55, 253)(56, 296)(57, 298)(58, 255)(59, 300)(60, 302)(61, 257)(62, 305)(63, 258)(64, 306)(65, 259)(66, 308)(67, 310)(68, 261)(69, 263)(70, 295)(71, 312)(72, 265)(73, 303)(74, 314)(75, 267)(76, 316)(77, 309)(78, 269)(79, 286)(80, 272)(81, 317)(82, 273)(83, 318)(84, 275)(85, 319)(86, 276)(87, 289)(88, 321)(89, 278)(90, 280)(91, 322)(92, 282)(93, 293)(94, 283)(95, 323)(96, 287)(97, 320)(98, 290)(99, 324)(100, 292)(101, 297)(102, 299)(103, 301)(104, 313)(105, 304)(106, 307)(107, 311)(108, 315)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1884
Graph:: simple bipartite
	v = 108 e = 216 f = 72
	degree seq :: [ 4^108 ]

E19.1880 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y3, (Y3^-1 * Y2 * Y1 * Y3^-1)^2, (Y2 * Y1 * Y3)^3, (Y2 * Y1 * Y3^2 * Y1)^2, (Y2 * R * Y1 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 12, 120)(5, 113, 14, 122)(6, 114, 16, 124)(7, 115, 19, 127)(8, 116, 21, 129)(10, 118, 26, 134)(11, 119, 28, 136)(13, 121, 33, 141)(15, 123, 38, 146)(17, 125, 32, 140)(18, 126, 43, 151)(20, 128, 47, 155)(22, 130, 50, 158)(23, 131, 51, 159)(24, 132, 31, 139)(25, 133, 55, 163)(27, 135, 42, 150)(29, 137, 63, 171)(30, 138, 64, 172)(34, 142, 68, 176)(35, 143, 69, 177)(36, 144, 71, 179)(37, 145, 73, 181)(39, 147, 78, 186)(40, 148, 46, 154)(41, 149, 82, 190)(44, 152, 85, 193)(45, 153, 86, 194)(48, 156, 88, 196)(49, 157, 59, 167)(52, 160, 58, 166)(53, 161, 70, 178)(54, 162, 90, 198)(56, 164, 83, 191)(57, 165, 79, 187)(60, 168, 87, 195)(61, 169, 67, 175)(62, 170, 77, 185)(65, 173, 100, 208)(66, 174, 94, 202)(72, 180, 91, 199)(74, 182, 80, 188)(75, 183, 81, 189)(76, 184, 89, 197)(84, 192, 92, 200)(93, 201, 104, 212)(95, 203, 105, 213)(96, 204, 103, 211)(97, 205, 108, 216)(98, 206, 107, 215)(99, 207, 101, 209)(102, 210, 106, 214)(217, 325, 219, 327)(218, 326, 222, 330)(220, 328, 227, 335)(221, 329, 226, 334)(223, 331, 234, 342)(224, 332, 233, 341)(225, 333, 239, 347)(228, 336, 246, 354)(229, 337, 245, 353)(230, 338, 251, 359)(231, 339, 243, 351)(232, 340, 255, 363)(235, 343, 261, 369)(236, 344, 260, 368)(237, 345, 253, 361)(238, 346, 258, 366)(240, 348, 269, 377)(241, 349, 268, 376)(242, 350, 273, 381)(244, 352, 276, 384)(247, 355, 281, 389)(248, 356, 274, 382)(249, 357, 272, 380)(250, 358, 275, 383)(252, 360, 286, 394)(254, 362, 291, 399)(256, 364, 296, 404)(257, 365, 295, 403)(259, 367, 277, 385)(262, 370, 282, 390)(263, 371, 299, 407)(264, 372, 287, 395)(265, 373, 290, 398)(266, 374, 306, 414)(267, 375, 309, 417)(270, 378, 311, 419)(271, 379, 278, 386)(279, 387, 314, 422)(280, 388, 307, 415)(283, 391, 312, 420)(284, 392, 313, 421)(285, 393, 308, 416)(288, 396, 318, 426)(289, 397, 293, 401)(292, 400, 302, 410)(294, 402, 320, 428)(297, 405, 321, 429)(298, 406, 300, 408)(301, 409, 323, 431)(303, 411, 322, 430)(304, 412, 317, 425)(305, 413, 319, 427)(310, 418, 324, 432)(315, 423, 316, 424)
	L = (1, 220)(2, 223)(3, 226)(4, 229)(5, 217)(6, 233)(7, 236)(8, 218)(9, 240)(10, 243)(11, 219)(12, 247)(13, 250)(14, 252)(15, 221)(16, 256)(17, 258)(18, 222)(19, 262)(20, 264)(21, 265)(22, 224)(23, 268)(24, 270)(25, 225)(26, 235)(27, 275)(28, 277)(29, 227)(30, 274)(31, 282)(32, 228)(33, 283)(34, 231)(35, 237)(36, 288)(37, 230)(38, 292)(39, 295)(40, 297)(41, 232)(42, 287)(43, 276)(44, 234)(45, 273)(46, 281)(47, 303)(48, 238)(49, 305)(50, 307)(51, 310)(52, 249)(53, 239)(54, 312)(55, 284)(56, 241)(57, 248)(58, 242)(59, 245)(60, 271)(61, 298)(62, 244)(63, 315)(64, 306)(65, 246)(66, 261)(67, 311)(68, 317)(69, 301)(70, 251)(71, 260)(72, 319)(73, 279)(74, 253)(75, 289)(76, 294)(77, 254)(78, 316)(79, 263)(80, 255)(81, 322)(82, 304)(83, 257)(84, 259)(85, 324)(86, 291)(87, 321)(88, 313)(89, 318)(90, 285)(91, 267)(92, 266)(93, 280)(94, 323)(95, 269)(96, 272)(97, 278)(98, 293)(99, 320)(100, 314)(101, 300)(102, 286)(103, 290)(104, 302)(105, 296)(106, 299)(107, 308)(108, 309)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1885
Graph:: simple bipartite
	v = 108 e = 216 f = 72
	degree seq :: [ 4^108 ]

E19.1881 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2)^3, (Y3 * Y1)^6, Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 10, 118)(6, 114, 12, 120)(8, 116, 14, 122)(11, 119, 18, 126)(13, 121, 21, 129)(15, 123, 22, 130)(16, 124, 25, 133)(17, 125, 26, 134)(19, 127, 27, 135)(20, 128, 30, 138)(23, 131, 34, 142)(24, 132, 35, 143)(28, 136, 41, 149)(29, 137, 42, 150)(31, 139, 38, 146)(32, 140, 46, 154)(33, 141, 47, 155)(36, 144, 50, 158)(37, 145, 44, 152)(39, 147, 54, 162)(40, 148, 55, 163)(43, 151, 58, 166)(45, 153, 61, 169)(48, 156, 64, 172)(49, 157, 63, 171)(51, 159, 68, 176)(52, 160, 69, 177)(53, 161, 70, 178)(56, 164, 73, 181)(57, 165, 72, 180)(59, 167, 77, 185)(60, 168, 78, 186)(62, 170, 79, 187)(65, 173, 83, 191)(66, 174, 84, 192)(67, 175, 85, 193)(71, 179, 89, 197)(74, 182, 93, 201)(75, 183, 94, 202)(76, 184, 95, 203)(80, 188, 96, 204)(81, 189, 99, 207)(82, 190, 92, 200)(86, 194, 90, 198)(87, 195, 100, 208)(88, 196, 103, 211)(91, 199, 104, 212)(97, 205, 105, 213)(98, 206, 108, 216)(101, 209, 106, 214)(102, 210, 107, 215)(217, 325, 219, 327)(218, 326, 221, 329)(220, 328, 224, 332)(222, 330, 227, 335)(223, 331, 226, 334)(225, 333, 231, 339)(228, 336, 235, 343)(229, 337, 233, 341)(230, 338, 238, 346)(232, 340, 240, 348)(234, 342, 243, 351)(236, 344, 245, 353)(237, 345, 247, 355)(239, 347, 249, 357)(241, 349, 252, 360)(242, 350, 254, 362)(244, 352, 256, 364)(246, 354, 259, 367)(248, 356, 261, 369)(250, 358, 264, 372)(251, 359, 266, 374)(253, 361, 268, 376)(255, 363, 269, 377)(257, 365, 272, 380)(258, 366, 274, 382)(260, 368, 276, 384)(262, 370, 278, 386)(263, 371, 280, 388)(265, 373, 282, 390)(267, 375, 283, 391)(270, 378, 287, 395)(271, 379, 289, 397)(273, 381, 291, 399)(275, 383, 292, 400)(277, 385, 295, 403)(279, 387, 297, 405)(281, 389, 298, 406)(284, 392, 302, 410)(285, 393, 294, 402)(286, 394, 305, 413)(288, 396, 307, 415)(290, 398, 308, 416)(293, 401, 312, 420)(296, 404, 311, 419)(299, 407, 309, 417)(300, 408, 315, 423)(301, 409, 306, 414)(303, 411, 318, 426)(304, 412, 314, 422)(310, 418, 320, 428)(313, 421, 323, 431)(316, 424, 321, 429)(317, 425, 324, 432)(319, 427, 322, 430)
	L = (1, 220)(2, 222)(3, 224)(4, 217)(5, 227)(6, 218)(7, 229)(8, 219)(9, 232)(10, 233)(11, 221)(12, 236)(13, 223)(14, 239)(15, 240)(16, 225)(17, 226)(18, 244)(19, 245)(20, 228)(21, 248)(22, 249)(23, 230)(24, 231)(25, 253)(26, 255)(27, 256)(28, 234)(29, 235)(30, 260)(31, 261)(32, 237)(33, 238)(34, 265)(35, 267)(36, 268)(37, 241)(38, 269)(39, 242)(40, 243)(41, 273)(42, 275)(43, 276)(44, 246)(45, 247)(46, 279)(47, 281)(48, 282)(49, 250)(50, 283)(51, 251)(52, 252)(53, 254)(54, 288)(55, 290)(56, 291)(57, 257)(58, 292)(59, 258)(60, 259)(61, 296)(62, 297)(63, 262)(64, 298)(65, 263)(66, 264)(67, 266)(68, 303)(69, 304)(70, 306)(71, 307)(72, 270)(73, 308)(74, 271)(75, 272)(76, 274)(77, 313)(78, 314)(79, 311)(80, 277)(81, 278)(82, 280)(83, 316)(84, 317)(85, 305)(86, 318)(87, 284)(88, 285)(89, 301)(90, 286)(91, 287)(92, 289)(93, 321)(94, 322)(95, 295)(96, 323)(97, 293)(98, 294)(99, 324)(100, 299)(101, 300)(102, 302)(103, 320)(104, 319)(105, 309)(106, 310)(107, 312)(108, 315)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1883
Graph:: simple bipartite
	v = 108 e = 216 f = 72
	degree seq :: [ 4^108 ]

E19.1882 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y2 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (Y2 * Y1)^6, (R * Y2 * Y1 * Y2 * Y1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 12, 120)(5, 113, 13, 121)(6, 114, 14, 122)(7, 115, 17, 125)(8, 116, 18, 126)(10, 118, 22, 130)(11, 119, 23, 131)(15, 123, 33, 141)(16, 124, 34, 142)(19, 127, 41, 149)(20, 128, 44, 152)(21, 129, 45, 153)(24, 132, 52, 160)(25, 133, 36, 144)(26, 134, 39, 147)(27, 135, 55, 163)(28, 136, 37, 145)(29, 137, 40, 148)(30, 138, 58, 166)(31, 139, 53, 161)(32, 140, 57, 165)(35, 143, 50, 158)(38, 146, 48, 156)(42, 150, 70, 178)(43, 151, 71, 179)(46, 154, 72, 180)(47, 155, 65, 173)(49, 157, 75, 183)(51, 159, 66, 174)(54, 162, 62, 170)(56, 164, 64, 172)(59, 167, 83, 191)(60, 168, 84, 192)(61, 169, 85, 193)(63, 171, 87, 195)(67, 175, 80, 188)(68, 176, 73, 181)(69, 177, 77, 185)(74, 182, 92, 200)(76, 184, 94, 202)(78, 186, 82, 190)(79, 187, 81, 189)(86, 194, 100, 208)(88, 196, 102, 210)(89, 197, 104, 212)(90, 198, 103, 211)(91, 199, 101, 209)(93, 201, 99, 207)(95, 203, 98, 206)(96, 204, 97, 205)(105, 213, 107, 215)(106, 214, 108, 216)(217, 325, 219, 327)(218, 326, 222, 330)(220, 328, 227, 335)(221, 329, 226, 334)(223, 331, 232, 340)(224, 332, 231, 339)(225, 333, 235, 343)(228, 336, 240, 348)(229, 337, 243, 351)(230, 338, 246, 354)(233, 341, 251, 359)(234, 342, 254, 362)(236, 344, 259, 367)(237, 345, 258, 366)(238, 346, 262, 370)(239, 347, 265, 373)(241, 349, 270, 378)(242, 350, 269, 377)(244, 352, 273, 381)(245, 353, 272, 380)(247, 355, 276, 384)(248, 356, 275, 383)(249, 357, 277, 385)(250, 358, 279, 387)(252, 360, 281, 389)(253, 361, 260, 368)(255, 363, 261, 369)(256, 364, 282, 390)(257, 365, 283, 391)(263, 371, 290, 398)(264, 372, 289, 397)(266, 374, 293, 401)(267, 375, 292, 400)(268, 376, 294, 402)(271, 379, 295, 403)(274, 382, 296, 404)(278, 386, 302, 410)(280, 388, 304, 412)(284, 392, 306, 414)(285, 393, 305, 413)(286, 394, 307, 415)(287, 395, 309, 417)(288, 396, 311, 419)(291, 399, 312, 420)(297, 405, 314, 422)(298, 406, 313, 421)(299, 407, 315, 423)(300, 408, 317, 425)(301, 409, 319, 427)(303, 411, 320, 428)(308, 416, 321, 429)(310, 418, 322, 430)(316, 424, 323, 431)(318, 426, 324, 432)
	L = (1, 220)(2, 223)(3, 226)(4, 221)(5, 217)(6, 231)(7, 224)(8, 218)(9, 236)(10, 227)(11, 219)(12, 241)(13, 244)(14, 247)(15, 232)(16, 222)(17, 252)(18, 255)(19, 258)(20, 237)(21, 225)(22, 263)(23, 266)(24, 269)(25, 242)(26, 228)(27, 272)(28, 245)(29, 229)(30, 275)(31, 248)(32, 230)(33, 278)(34, 268)(35, 260)(36, 253)(37, 233)(38, 282)(39, 256)(40, 234)(41, 284)(42, 259)(43, 235)(44, 281)(45, 254)(46, 289)(47, 264)(48, 238)(49, 292)(50, 267)(51, 239)(52, 280)(53, 270)(54, 240)(55, 249)(56, 273)(57, 243)(58, 297)(59, 276)(60, 246)(61, 295)(62, 271)(63, 304)(64, 250)(65, 251)(66, 261)(67, 305)(68, 285)(69, 257)(70, 308)(71, 288)(72, 310)(73, 290)(74, 262)(75, 286)(76, 293)(77, 265)(78, 279)(79, 302)(80, 313)(81, 298)(82, 274)(83, 316)(84, 301)(85, 318)(86, 277)(87, 299)(88, 294)(89, 306)(90, 283)(91, 312)(92, 291)(93, 322)(94, 287)(95, 309)(96, 321)(97, 314)(98, 296)(99, 320)(100, 303)(101, 324)(102, 300)(103, 317)(104, 323)(105, 307)(106, 311)(107, 315)(108, 319)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1886
Graph:: simple bipartite
	v = 108 e = 216 f = 72
	degree seq :: [ 4^108 ]

E19.1883 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1^-1)^3, Y1^6, (Y2 * Y1^-3)^3, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-2 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 6, 114, 15, 123, 14, 122, 5, 113)(3, 111, 9, 117, 21, 129, 39, 147, 25, 133, 11, 119)(4, 112, 12, 120, 26, 134, 31, 139, 17, 125, 8, 116)(7, 115, 18, 126, 35, 143, 58, 166, 38, 146, 20, 128)(10, 118, 24, 132, 44, 152, 64, 172, 41, 149, 23, 131)(13, 121, 28, 136, 48, 156, 69, 177, 43, 151, 22, 130)(16, 124, 32, 140, 54, 162, 82, 190, 57, 165, 34, 142)(19, 127, 37, 145, 61, 169, 88, 196, 60, 168, 36, 144)(27, 135, 42, 150, 68, 176, 96, 204, 74, 182, 47, 155)(29, 137, 50, 158, 77, 185, 87, 195, 76, 184, 49, 157)(30, 138, 51, 159, 78, 186, 63, 171, 81, 189, 53, 161)(33, 141, 56, 164, 85, 193, 103, 211, 84, 192, 55, 163)(40, 148, 65, 173, 83, 191, 62, 170, 92, 200, 67, 175)(45, 153, 71, 179, 86, 194, 75, 183, 90, 198, 59, 167)(46, 154, 72, 180, 98, 206, 106, 214, 99, 207, 73, 181)(52, 160, 80, 188, 102, 210, 93, 201, 101, 209, 79, 187)(66, 174, 95, 203, 108, 216, 91, 199, 104, 212, 94, 202)(70, 178, 89, 197, 107, 215, 100, 208, 105, 213, 97, 205)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 226, 334)(221, 329, 229, 337)(222, 330, 232, 340)(224, 332, 235, 343)(225, 333, 238, 346)(227, 335, 234, 342)(228, 336, 243, 351)(230, 338, 245, 353)(231, 339, 246, 354)(233, 341, 249, 357)(236, 344, 248, 356)(237, 345, 256, 364)(239, 347, 258, 366)(240, 348, 252, 360)(241, 349, 261, 369)(242, 350, 262, 370)(244, 352, 265, 373)(247, 355, 268, 376)(250, 358, 267, 375)(251, 359, 275, 383)(253, 361, 271, 379)(254, 362, 278, 386)(255, 363, 279, 387)(257, 365, 282, 390)(259, 367, 281, 389)(260, 368, 286, 394)(263, 371, 288, 396)(264, 372, 291, 399)(266, 374, 269, 377)(270, 378, 299, 407)(272, 380, 295, 403)(273, 381, 302, 410)(274, 382, 303, 411)(276, 384, 305, 413)(277, 385, 307, 415)(280, 388, 309, 417)(283, 391, 297, 405)(284, 392, 310, 418)(285, 393, 298, 406)(287, 395, 294, 402)(289, 397, 296, 404)(290, 398, 316, 424)(292, 400, 306, 414)(293, 401, 308, 416)(300, 408, 320, 428)(301, 409, 321, 429)(304, 412, 322, 430)(311, 419, 318, 426)(312, 420, 319, 427)(313, 421, 317, 425)(314, 422, 323, 431)(315, 423, 324, 432)
	L = (1, 220)(2, 224)(3, 226)(4, 217)(5, 228)(6, 233)(7, 235)(8, 218)(9, 239)(10, 219)(11, 240)(12, 221)(13, 243)(14, 242)(15, 247)(16, 249)(17, 222)(18, 252)(19, 223)(20, 253)(21, 257)(22, 258)(23, 225)(24, 227)(25, 260)(26, 230)(27, 229)(28, 263)(29, 262)(30, 268)(31, 231)(32, 271)(33, 232)(34, 272)(35, 276)(36, 234)(37, 236)(38, 277)(39, 280)(40, 282)(41, 237)(42, 238)(43, 284)(44, 241)(45, 286)(46, 245)(47, 244)(48, 290)(49, 288)(50, 289)(51, 295)(52, 246)(53, 296)(54, 300)(55, 248)(56, 250)(57, 301)(58, 304)(59, 305)(60, 251)(61, 254)(62, 307)(63, 309)(64, 255)(65, 310)(66, 256)(67, 311)(68, 259)(69, 312)(70, 261)(71, 313)(72, 265)(73, 266)(74, 264)(75, 316)(76, 314)(77, 315)(78, 317)(79, 267)(80, 269)(81, 318)(82, 319)(83, 320)(84, 270)(85, 273)(86, 321)(87, 322)(88, 274)(89, 275)(90, 323)(91, 278)(92, 324)(93, 279)(94, 281)(95, 283)(96, 285)(97, 287)(98, 292)(99, 293)(100, 291)(101, 294)(102, 297)(103, 298)(104, 299)(105, 302)(106, 303)(107, 306)(108, 308)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1881
Graph:: simple bipartite
	v = 72 e = 216 f = 108
	degree seq :: [ 4^54, 12^18 ]

E19.1884 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^6, Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1, Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^-2 * Y2 * Y1^-2, (Y1^-1 * Y2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 6, 114, 15, 123, 14, 122, 5, 113)(3, 111, 9, 117, 21, 129, 41, 149, 26, 134, 11, 119)(4, 112, 12, 120, 27, 135, 33, 141, 17, 125, 8, 116)(7, 115, 18, 126, 37, 145, 62, 170, 40, 148, 20, 128)(10, 118, 24, 132, 45, 153, 68, 176, 43, 151, 23, 131)(13, 121, 29, 137, 50, 158, 80, 188, 52, 160, 30, 138)(16, 124, 34, 142, 58, 166, 88, 196, 61, 169, 36, 144)(19, 127, 22, 130, 44, 152, 71, 179, 64, 172, 39, 147)(25, 133, 28, 136, 49, 157, 79, 187, 75, 183, 46, 154)(31, 139, 53, 161, 83, 191, 102, 210, 85, 193, 54, 162)(32, 140, 55, 163, 86, 194, 100, 208, 87, 195, 57, 165)(35, 143, 38, 146, 65, 173, 96, 204, 90, 198, 60, 168)(42, 150, 69, 177, 89, 197, 82, 190, 98, 206, 66, 174)(47, 155, 76, 184, 92, 200, 63, 171, 94, 202, 77, 185)(48, 156, 78, 186, 105, 213, 93, 201, 81, 189, 51, 159)(56, 164, 59, 167, 91, 199, 67, 175, 99, 207, 84, 192)(70, 178, 72, 180, 103, 211, 106, 214, 107, 215, 101, 209)(73, 181, 104, 212, 108, 216, 95, 203, 97, 205, 74, 182)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 226, 334)(221, 329, 229, 337)(222, 330, 232, 340)(224, 332, 235, 343)(225, 333, 238, 346)(227, 335, 241, 349)(228, 336, 244, 352)(230, 338, 247, 355)(231, 339, 248, 356)(233, 341, 251, 359)(234, 342, 254, 362)(236, 344, 239, 347)(237, 345, 258, 366)(240, 348, 245, 353)(242, 350, 263, 371)(243, 351, 264, 372)(246, 354, 267, 375)(249, 357, 272, 380)(250, 358, 275, 383)(252, 360, 255, 363)(253, 361, 279, 387)(256, 364, 282, 390)(257, 365, 283, 391)(259, 367, 286, 394)(260, 368, 288, 396)(261, 369, 289, 397)(262, 370, 290, 398)(265, 373, 269, 377)(266, 374, 292, 400)(268, 376, 298, 406)(270, 378, 300, 408)(271, 379, 294, 402)(273, 381, 276, 384)(274, 382, 305, 413)(277, 385, 308, 416)(278, 386, 309, 417)(280, 388, 311, 419)(281, 389, 313, 421)(284, 392, 316, 424)(285, 393, 303, 411)(287, 395, 318, 426)(291, 399, 304, 412)(293, 401, 302, 410)(295, 403, 322, 430)(296, 404, 312, 420)(297, 405, 319, 427)(299, 407, 314, 422)(301, 409, 310, 418)(306, 414, 323, 431)(307, 415, 317, 425)(315, 423, 320, 428)(321, 429, 324, 432)
	L = (1, 220)(2, 224)(3, 226)(4, 217)(5, 228)(6, 233)(7, 235)(8, 218)(9, 239)(10, 219)(11, 240)(12, 221)(13, 244)(14, 243)(15, 249)(16, 251)(17, 222)(18, 255)(19, 223)(20, 238)(21, 259)(22, 236)(23, 225)(24, 227)(25, 245)(26, 261)(27, 230)(28, 229)(29, 241)(30, 265)(31, 264)(32, 272)(33, 231)(34, 276)(35, 232)(36, 254)(37, 280)(38, 252)(39, 234)(40, 260)(41, 284)(42, 286)(43, 237)(44, 256)(45, 242)(46, 266)(47, 289)(48, 247)(49, 246)(50, 262)(51, 269)(52, 295)(53, 267)(54, 294)(55, 300)(56, 248)(57, 275)(58, 306)(59, 273)(60, 250)(61, 281)(62, 287)(63, 311)(64, 253)(65, 277)(66, 288)(67, 316)(68, 257)(69, 317)(70, 258)(71, 278)(72, 282)(73, 263)(74, 292)(75, 296)(76, 290)(77, 320)(78, 270)(79, 268)(80, 291)(81, 299)(82, 322)(83, 297)(84, 271)(85, 321)(86, 315)(87, 307)(88, 312)(89, 323)(90, 274)(91, 303)(92, 313)(93, 318)(94, 324)(95, 279)(96, 304)(97, 308)(98, 319)(99, 302)(100, 283)(101, 285)(102, 309)(103, 314)(104, 293)(105, 301)(106, 298)(107, 305)(108, 310)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1879
Graph:: simple bipartite
	v = 72 e = 216 f = 108
	degree seq :: [ 4^54, 12^18 ]

E19.1885 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (Y1^-1 * Y3^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^2, (R * Y2 * Y3^-1)^2, Y1^6, Y3 * Y1^-2 * Y3 * Y1^2 * Y3, Y1^-2 * Y2 * Y1^2 * Y2 * Y3^-1, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 21, 129, 19, 127, 5, 113)(3, 111, 11, 119, 31, 139, 57, 165, 39, 147, 13, 121)(4, 112, 15, 123, 23, 131, 10, 118, 30, 138, 16, 124)(6, 114, 20, 128, 24, 132, 18, 126, 29, 137, 9, 117)(8, 116, 25, 133, 47, 155, 68, 176, 41, 149, 27, 135)(12, 120, 35, 143, 22, 130, 34, 142, 56, 164, 36, 144)(14, 122, 40, 148, 49, 157, 38, 146, 46, 154, 33, 141)(17, 125, 43, 151, 28, 136, 55, 163, 42, 150, 44, 152)(26, 134, 52, 160, 48, 156, 51, 159, 45, 153, 53, 161)(32, 140, 58, 166, 67, 175, 86, 194, 62, 170, 60, 168)(37, 145, 64, 172, 61, 169, 85, 193, 63, 171, 65, 173)(50, 158, 71, 179, 78, 186, 96, 204, 74, 182, 73, 181)(54, 162, 76, 184, 69, 177, 90, 198, 75, 183, 77, 185)(59, 167, 82, 190, 79, 187, 81, 189, 66, 174, 83, 191)(70, 178, 91, 199, 72, 180, 94, 202, 89, 197, 92, 200)(80, 188, 99, 207, 103, 211, 108, 216, 101, 209, 98, 206)(84, 192, 97, 205, 87, 195, 105, 213, 102, 210, 95, 203)(88, 196, 106, 214, 100, 208, 107, 215, 104, 212, 93, 201)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 233, 341)(222, 330, 228, 336)(223, 331, 238, 346)(225, 333, 244, 352)(226, 334, 242, 350)(227, 335, 248, 356)(229, 337, 253, 361)(231, 339, 257, 365)(232, 340, 258, 366)(234, 342, 261, 369)(235, 343, 262, 370)(236, 344, 263, 371)(237, 345, 264, 372)(239, 347, 247, 355)(240, 348, 265, 373)(241, 349, 266, 374)(243, 351, 270, 378)(245, 353, 255, 363)(246, 354, 272, 380)(249, 357, 277, 385)(250, 358, 275, 383)(251, 359, 278, 386)(252, 360, 279, 387)(254, 362, 282, 390)(256, 364, 283, 391)(259, 367, 285, 393)(260, 368, 286, 394)(267, 375, 288, 396)(268, 376, 290, 398)(269, 377, 291, 399)(271, 379, 294, 402)(273, 381, 295, 403)(274, 382, 296, 404)(276, 384, 300, 408)(280, 388, 303, 411)(281, 389, 304, 412)(284, 392, 305, 413)(287, 395, 309, 417)(289, 397, 311, 419)(292, 400, 313, 421)(293, 401, 314, 422)(297, 405, 316, 424)(298, 406, 317, 425)(299, 407, 318, 426)(301, 409, 319, 427)(302, 410, 320, 428)(306, 414, 322, 430)(307, 415, 321, 429)(308, 416, 315, 423)(310, 418, 323, 431)(312, 420, 324, 432)
	L = (1, 220)(2, 225)(3, 228)(4, 222)(5, 234)(6, 217)(7, 239)(8, 242)(9, 226)(10, 218)(11, 249)(12, 230)(13, 254)(14, 219)(15, 221)(16, 237)(17, 257)(18, 231)(19, 246)(20, 232)(21, 236)(22, 265)(23, 240)(24, 223)(25, 259)(26, 244)(27, 260)(28, 224)(29, 235)(30, 245)(31, 238)(32, 275)(33, 250)(34, 227)(35, 229)(36, 273)(37, 278)(38, 251)(39, 272)(40, 252)(41, 261)(42, 263)(43, 267)(44, 268)(45, 233)(46, 255)(47, 264)(48, 258)(49, 247)(50, 288)(51, 241)(52, 243)(53, 284)(54, 290)(55, 269)(56, 262)(57, 256)(58, 280)(59, 277)(60, 281)(61, 248)(62, 282)(63, 283)(64, 297)(65, 298)(66, 253)(67, 295)(68, 271)(69, 266)(70, 270)(71, 292)(72, 285)(73, 293)(74, 286)(75, 294)(76, 308)(77, 310)(78, 305)(79, 279)(80, 316)(81, 274)(82, 276)(83, 302)(84, 317)(85, 299)(86, 301)(87, 296)(88, 300)(89, 291)(90, 307)(91, 312)(92, 287)(93, 315)(94, 289)(95, 323)(96, 306)(97, 309)(98, 311)(99, 313)(100, 303)(101, 304)(102, 319)(103, 320)(104, 318)(105, 322)(106, 324)(107, 314)(108, 321)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1880
Graph:: simple bipartite
	v = 72 e = 216 f = 108
	degree seq :: [ 4^54, 12^18 ]

E19.1886 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1^3, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^6, Y2 * Y1^2 * Y2 * Y1^-2, Y1^-1 * Y3^-1 * Y2 * Y1^2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 21, 129, 19, 127, 5, 113)(3, 111, 11, 119, 22, 130, 46, 154, 38, 146, 13, 121)(4, 112, 15, 123, 23, 131, 10, 118, 30, 138, 16, 124)(6, 114, 20, 128, 24, 132, 18, 126, 29, 137, 9, 117)(8, 116, 25, 133, 45, 153, 42, 150, 17, 125, 27, 135)(12, 120, 34, 142, 47, 155, 33, 141, 57, 165, 35, 143)(14, 122, 39, 147, 48, 156, 37, 145, 58, 166, 32, 140)(26, 134, 52, 160, 41, 149, 51, 159, 40, 148, 53, 161)(28, 136, 56, 164, 44, 152, 55, 163, 43, 151, 50, 158)(31, 139, 59, 167, 69, 177, 65, 173, 36, 144, 61, 169)(49, 157, 70, 178, 68, 176, 76, 184, 54, 162, 72, 180)(60, 168, 82, 190, 64, 172, 81, 189, 63, 171, 83, 191)(62, 170, 86, 194, 67, 175, 85, 193, 66, 174, 80, 188)(71, 179, 91, 199, 75, 183, 90, 198, 74, 182, 92, 200)(73, 181, 95, 203, 78, 186, 94, 202, 77, 185, 89, 197)(79, 187, 88, 196, 87, 195, 96, 204, 84, 192, 93, 201)(97, 205, 107, 215, 100, 208, 104, 212, 99, 207, 108, 216)(98, 206, 106, 214, 102, 210, 105, 213, 101, 209, 103, 211)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 233, 341)(222, 330, 228, 336)(223, 331, 238, 346)(225, 333, 244, 352)(226, 334, 242, 350)(227, 335, 247, 355)(229, 337, 252, 360)(231, 339, 256, 364)(232, 340, 257, 365)(234, 342, 259, 367)(235, 343, 254, 362)(236, 344, 260, 368)(237, 345, 261, 369)(239, 347, 264, 372)(240, 348, 263, 371)(241, 349, 265, 373)(243, 351, 270, 378)(245, 353, 273, 381)(246, 354, 274, 382)(248, 356, 278, 386)(249, 357, 276, 384)(250, 358, 279, 387)(251, 359, 280, 388)(253, 361, 282, 390)(255, 363, 283, 391)(258, 366, 284, 392)(262, 370, 285, 393)(266, 374, 289, 397)(267, 375, 287, 395)(268, 376, 290, 398)(269, 377, 291, 399)(271, 379, 293, 401)(272, 380, 294, 402)(275, 383, 295, 403)(277, 385, 300, 408)(281, 389, 303, 411)(286, 394, 304, 412)(288, 396, 309, 417)(292, 400, 312, 420)(296, 404, 314, 422)(297, 405, 313, 421)(298, 406, 315, 423)(299, 407, 316, 424)(301, 409, 317, 425)(302, 410, 318, 426)(305, 413, 320, 428)(306, 414, 319, 427)(307, 415, 321, 429)(308, 416, 322, 430)(310, 418, 323, 431)(311, 419, 324, 432)
	L = (1, 220)(2, 225)(3, 228)(4, 222)(5, 234)(6, 217)(7, 239)(8, 242)(9, 226)(10, 218)(11, 248)(12, 230)(13, 253)(14, 219)(15, 221)(16, 237)(17, 256)(18, 231)(19, 246)(20, 232)(21, 236)(22, 263)(23, 240)(24, 223)(25, 266)(26, 244)(27, 271)(28, 224)(29, 235)(30, 245)(31, 276)(32, 249)(33, 227)(34, 229)(35, 262)(36, 279)(37, 250)(38, 273)(39, 251)(40, 259)(41, 260)(42, 272)(43, 233)(44, 261)(45, 257)(46, 255)(47, 264)(48, 238)(49, 287)(50, 267)(51, 241)(52, 243)(53, 258)(54, 290)(55, 268)(56, 269)(57, 274)(58, 254)(59, 296)(60, 278)(61, 301)(62, 247)(63, 282)(64, 283)(65, 302)(66, 252)(67, 285)(68, 291)(69, 280)(70, 305)(71, 289)(72, 310)(73, 265)(74, 293)(75, 294)(76, 311)(77, 270)(78, 284)(79, 313)(80, 297)(81, 275)(82, 277)(83, 281)(84, 315)(85, 298)(86, 299)(87, 316)(88, 319)(89, 306)(90, 286)(91, 288)(92, 292)(93, 321)(94, 307)(95, 308)(96, 322)(97, 314)(98, 295)(99, 317)(100, 318)(101, 300)(102, 303)(103, 320)(104, 304)(105, 323)(106, 324)(107, 309)(108, 312)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1882
Graph:: simple bipartite
	v = 72 e = 216 f = 108
	degree seq :: [ 4^54, 12^18 ]

E19.1887 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-2)^2, Y3^6, (Y3 * Y1 * Y2 * Y1)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2, Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 12, 120)(5, 113, 14, 122)(6, 114, 16, 124)(7, 115, 19, 127)(8, 116, 21, 129)(10, 118, 26, 134)(11, 119, 28, 136)(13, 121, 22, 130)(15, 123, 20, 128)(17, 125, 39, 147)(18, 126, 41, 149)(23, 131, 49, 157)(24, 132, 47, 155)(25, 133, 43, 151)(27, 135, 53, 161)(29, 137, 52, 160)(30, 138, 38, 146)(31, 139, 62, 170)(32, 140, 63, 171)(33, 141, 64, 172)(34, 142, 37, 145)(35, 143, 66, 174)(36, 144, 67, 175)(40, 148, 71, 179)(42, 150, 70, 178)(44, 152, 76, 184)(45, 153, 77, 185)(46, 154, 78, 186)(48, 156, 80, 188)(50, 158, 60, 168)(51, 159, 65, 173)(54, 162, 83, 191)(55, 163, 88, 196)(56, 164, 89, 197)(57, 165, 90, 198)(58, 166, 82, 190)(59, 167, 91, 199)(61, 169, 93, 201)(68, 176, 74, 182)(69, 177, 79, 187)(72, 180, 100, 208)(73, 181, 87, 195)(75, 183, 102, 210)(81, 189, 96, 204)(84, 192, 106, 214)(85, 193, 105, 213)(86, 194, 101, 209)(92, 200, 99, 207)(94, 202, 104, 212)(95, 203, 103, 211)(97, 205, 107, 215)(98, 206, 108, 216)(217, 325, 219, 327)(218, 326, 222, 330)(220, 328, 227, 335)(221, 329, 226, 334)(223, 331, 234, 342)(224, 332, 233, 341)(225, 333, 239, 347)(228, 336, 246, 354)(229, 337, 245, 353)(230, 338, 250, 358)(231, 339, 243, 351)(232, 340, 252, 360)(235, 343, 259, 367)(236, 344, 258, 366)(237, 345, 263, 371)(238, 346, 256, 364)(240, 348, 267, 375)(241, 349, 266, 374)(242, 350, 270, 378)(244, 352, 274, 382)(247, 355, 277, 385)(248, 356, 276, 384)(249, 357, 273, 381)(251, 359, 281, 389)(253, 361, 285, 393)(254, 362, 284, 392)(255, 363, 272, 380)(257, 365, 275, 383)(260, 368, 291, 399)(261, 369, 290, 398)(262, 370, 289, 397)(264, 372, 295, 403)(265, 373, 297, 405)(268, 376, 301, 409)(269, 377, 300, 408)(271, 379, 303, 411)(278, 386, 304, 412)(279, 387, 307, 415)(280, 388, 308, 416)(282, 390, 305, 413)(283, 391, 312, 420)(286, 394, 314, 422)(287, 395, 313, 421)(288, 396, 306, 414)(292, 400, 316, 424)(293, 401, 298, 406)(294, 402, 317, 425)(296, 404, 299, 407)(302, 410, 309, 417)(310, 418, 324, 432)(311, 419, 323, 431)(315, 423, 318, 426)(319, 427, 321, 429)(320, 428, 322, 430)
	L = (1, 220)(2, 223)(3, 226)(4, 229)(5, 217)(6, 233)(7, 236)(8, 218)(9, 240)(10, 243)(11, 219)(12, 247)(13, 249)(14, 251)(15, 221)(16, 253)(17, 256)(18, 222)(19, 260)(20, 262)(21, 264)(22, 224)(23, 266)(24, 268)(25, 225)(26, 271)(27, 273)(28, 275)(29, 227)(30, 276)(31, 230)(32, 228)(33, 231)(34, 277)(35, 280)(36, 284)(37, 286)(38, 232)(39, 288)(40, 289)(41, 274)(42, 234)(43, 290)(44, 237)(45, 235)(46, 238)(47, 291)(48, 294)(49, 298)(50, 300)(51, 239)(52, 302)(53, 241)(54, 255)(55, 244)(56, 242)(57, 245)(58, 303)(59, 306)(60, 308)(61, 246)(62, 310)(63, 312)(64, 248)(65, 250)(66, 311)(67, 307)(68, 313)(69, 252)(70, 315)(71, 254)(72, 257)(73, 258)(74, 317)(75, 259)(76, 319)(77, 297)(78, 261)(79, 263)(80, 320)(81, 296)(82, 321)(83, 265)(84, 309)(85, 267)(86, 269)(87, 270)(88, 323)(89, 283)(90, 272)(91, 324)(92, 281)(93, 301)(94, 279)(95, 278)(96, 282)(97, 318)(98, 285)(99, 287)(100, 322)(101, 295)(102, 314)(103, 293)(104, 292)(105, 316)(106, 299)(107, 305)(108, 304)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1888
Graph:: simple bipartite
	v = 108 e = 216 f = 72
	degree seq :: [ 4^108 ]

E19.1888 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1^3 * Y3, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^2, Y1^6, (Y1^-1 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 21, 129, 19, 127, 5, 113)(3, 111, 11, 119, 31, 139, 47, 155, 22, 130, 13, 121)(4, 112, 15, 123, 23, 131, 10, 118, 30, 138, 16, 124)(6, 114, 20, 128, 24, 132, 18, 126, 29, 137, 9, 117)(8, 116, 25, 133, 17, 125, 42, 150, 45, 153, 27, 135)(12, 120, 35, 143, 57, 165, 34, 142, 46, 154, 36, 144)(14, 122, 39, 147, 58, 166, 38, 146, 48, 156, 33, 141)(26, 134, 52, 160, 40, 148, 51, 159, 41, 149, 53, 161)(28, 136, 56, 164, 43, 151, 55, 163, 44, 152, 50, 158)(32, 140, 59, 167, 37, 145, 65, 173, 69, 177, 61, 169)(49, 157, 70, 178, 54, 162, 76, 184, 68, 176, 72, 180)(60, 168, 82, 190, 63, 171, 81, 189, 64, 172, 83, 191)(62, 170, 86, 194, 66, 174, 85, 193, 67, 175, 80, 188)(71, 179, 91, 199, 74, 182, 90, 198, 75, 183, 92, 200)(73, 181, 95, 203, 77, 185, 94, 202, 78, 186, 89, 197)(79, 187, 93, 201, 84, 192, 96, 204, 87, 195, 88, 196)(97, 205, 104, 212, 99, 207, 107, 215, 100, 208, 108, 216)(98, 206, 106, 214, 101, 209, 103, 211, 102, 210, 105, 213)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 233, 341)(222, 330, 228, 336)(223, 331, 238, 346)(225, 333, 244, 352)(226, 334, 242, 350)(227, 335, 248, 356)(229, 337, 253, 361)(231, 339, 256, 364)(232, 340, 257, 365)(234, 342, 259, 367)(235, 343, 247, 355)(236, 344, 260, 368)(237, 345, 261, 369)(239, 347, 264, 372)(240, 348, 262, 370)(241, 349, 265, 373)(243, 351, 270, 378)(245, 353, 273, 381)(246, 354, 274, 382)(249, 357, 278, 386)(250, 358, 276, 384)(251, 359, 279, 387)(252, 360, 280, 388)(254, 362, 282, 390)(255, 363, 283, 391)(258, 366, 284, 392)(263, 371, 285, 393)(266, 374, 289, 397)(267, 375, 287, 395)(268, 376, 290, 398)(269, 377, 291, 399)(271, 379, 293, 401)(272, 380, 294, 402)(275, 383, 295, 403)(277, 385, 300, 408)(281, 389, 303, 411)(286, 394, 304, 412)(288, 396, 309, 417)(292, 400, 312, 420)(296, 404, 314, 422)(297, 405, 313, 421)(298, 406, 315, 423)(299, 407, 316, 424)(301, 409, 317, 425)(302, 410, 318, 426)(305, 413, 320, 428)(306, 414, 319, 427)(307, 415, 321, 429)(308, 416, 322, 430)(310, 418, 323, 431)(311, 419, 324, 432)
	L = (1, 220)(2, 225)(3, 228)(4, 222)(5, 234)(6, 217)(7, 239)(8, 242)(9, 226)(10, 218)(11, 249)(12, 230)(13, 254)(14, 219)(15, 221)(16, 237)(17, 256)(18, 231)(19, 246)(20, 232)(21, 236)(22, 262)(23, 240)(24, 223)(25, 266)(26, 244)(27, 271)(28, 224)(29, 235)(30, 245)(31, 273)(32, 276)(33, 250)(34, 227)(35, 229)(36, 263)(37, 279)(38, 251)(39, 252)(40, 259)(41, 260)(42, 272)(43, 233)(44, 261)(45, 257)(46, 264)(47, 255)(48, 238)(49, 287)(50, 267)(51, 241)(52, 243)(53, 258)(54, 290)(55, 268)(56, 269)(57, 274)(58, 247)(59, 296)(60, 278)(61, 301)(62, 248)(63, 282)(64, 283)(65, 302)(66, 253)(67, 285)(68, 291)(69, 280)(70, 305)(71, 289)(72, 310)(73, 265)(74, 293)(75, 294)(76, 311)(77, 270)(78, 284)(79, 313)(80, 297)(81, 275)(82, 277)(83, 281)(84, 315)(85, 298)(86, 299)(87, 316)(88, 319)(89, 306)(90, 286)(91, 288)(92, 292)(93, 321)(94, 307)(95, 308)(96, 322)(97, 314)(98, 295)(99, 317)(100, 318)(101, 300)(102, 303)(103, 320)(104, 304)(105, 323)(106, 324)(107, 309)(108, 312)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1887
Graph:: simple bipartite
	v = 72 e = 216 f = 108
	degree seq :: [ 4^54, 12^18 ]

E19.1889 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^6, T2^-2 * T1 * T2^2 * T1^-1, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, (T2^-1 * T1^-1)^4, (T1^-2 * T2)^3, T1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 16, 5)(2, 7, 20, 49, 24, 8)(4, 12, 29, 63, 36, 13)(6, 17, 41, 77, 45, 18)(9, 26, 58, 38, 14, 27)(11, 30, 62, 39, 15, 31)(19, 47, 83, 53, 22, 48)(21, 50, 86, 54, 23, 51)(25, 55, 91, 72, 37, 56)(32, 67, 100, 71, 34, 68)(33, 60, 95, 57, 35, 69)(40, 75, 93, 80, 43, 76)(42, 78, 92, 81, 44, 79)(46, 70, 104, 66, 52, 82)(59, 96, 73, 99, 61, 97)(64, 101, 74, 103, 65, 102)(84, 94, 89, 107, 85, 98)(87, 105, 90, 108, 88, 106)(109, 110, 114, 112)(111, 117, 133, 119)(113, 122, 145, 123)(115, 127, 154, 129)(116, 130, 160, 131)(118, 128, 149, 137)(120, 140, 174, 141)(121, 142, 178, 143)(124, 132, 153, 144)(125, 148, 180, 150)(126, 151, 163, 152)(134, 165, 202, 167)(135, 168, 206, 169)(136, 166, 199, 170)(138, 172, 193, 156)(139, 173, 197, 161)(146, 177, 215, 181)(147, 182, 192, 155)(157, 191, 212, 194)(158, 195, 210, 184)(159, 196, 211, 188)(162, 198, 209, 183)(164, 200, 185, 201)(171, 208, 190, 203)(175, 189, 204, 213)(176, 186, 205, 214)(179, 187, 207, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E19.1890
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1890 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T2^4, T1^4, (F * T1)^2, (F * T2)^2, (T1 * T2^-1)^3, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-2 * T1^2 * T2 * T1^-2 * T2^-2 * T1^-1, T2^-2 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2^2 * T1^-1 * T2^2 * T1^2 * T2 * T1^2, (T1^-1 * T2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 10, 118, 5, 113)(2, 110, 7, 115, 19, 127, 8, 116)(4, 112, 12, 120, 30, 138, 13, 121)(6, 114, 16, 124, 39, 147, 17, 125)(9, 117, 24, 132, 55, 163, 25, 133)(11, 119, 21, 129, 50, 158, 28, 136)(14, 122, 35, 143, 69, 177, 31, 139)(15, 123, 36, 144, 75, 183, 37, 145)(18, 126, 44, 152, 88, 196, 45, 153)(20, 128, 41, 149, 83, 191, 48, 156)(22, 130, 51, 159, 98, 206, 52, 160)(23, 131, 53, 161, 79, 187, 54, 162)(26, 134, 60, 168, 76, 184, 61, 169)(27, 135, 57, 165, 82, 190, 62, 170)(29, 137, 56, 164, 100, 208, 66, 174)(32, 140, 58, 166, 81, 189, 40, 148)(33, 141, 64, 172, 103, 211, 71, 179)(34, 142, 72, 180, 80, 188, 73, 181)(38, 146, 77, 185, 104, 212, 78, 186)(42, 150, 84, 192, 108, 216, 85, 193)(43, 151, 86, 194, 67, 175, 87, 195)(46, 154, 91, 199, 65, 173, 92, 200)(47, 155, 89, 197, 70, 178, 93, 201)(49, 157, 95, 203, 68, 176, 96, 204)(59, 167, 90, 198, 105, 213, 102, 210)(63, 171, 94, 202, 106, 214, 99, 207)(74, 182, 97, 205, 107, 215, 101, 209)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 122)(6, 112)(7, 126)(8, 129)(9, 131)(10, 134)(11, 111)(12, 137)(13, 140)(14, 142)(15, 113)(16, 146)(17, 149)(18, 151)(19, 154)(20, 115)(21, 157)(22, 116)(23, 119)(24, 152)(25, 165)(26, 167)(27, 118)(28, 171)(29, 173)(30, 175)(31, 120)(32, 178)(33, 121)(34, 123)(35, 153)(36, 156)(37, 160)(38, 184)(39, 187)(40, 124)(41, 190)(42, 125)(43, 128)(44, 185)(45, 197)(46, 198)(47, 127)(48, 202)(49, 130)(50, 186)(51, 189)(52, 193)(53, 192)(54, 208)(55, 206)(56, 132)(57, 209)(58, 133)(59, 135)(60, 196)(61, 144)(62, 199)(63, 194)(64, 136)(65, 139)(66, 204)(67, 210)(68, 138)(69, 207)(70, 141)(71, 145)(72, 195)(73, 205)(74, 143)(75, 201)(76, 148)(77, 164)(78, 181)(79, 213)(80, 147)(81, 214)(82, 150)(83, 174)(84, 177)(85, 179)(86, 172)(87, 163)(88, 216)(89, 182)(90, 155)(91, 212)(92, 159)(93, 162)(94, 169)(95, 168)(96, 215)(97, 158)(98, 180)(99, 161)(100, 183)(101, 166)(102, 176)(103, 170)(104, 211)(105, 188)(106, 200)(107, 191)(108, 203)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1889
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 108 f = 45
	degree seq :: [ 8^27 ]

E19.1891 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y1^4, R * Y2 * R * Y3, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^2 * Y1 * Y2^-1, Y2^6, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3^-1 * Y1^-1)^4, (Y1^-2 * Y2)^3, Y1 * Y2 * Y1^-2 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 25, 133, 11, 119)(5, 113, 14, 122, 37, 145, 15, 123)(7, 115, 19, 127, 46, 154, 21, 129)(8, 116, 22, 130, 52, 160, 23, 131)(10, 118, 20, 128, 41, 149, 29, 137)(12, 120, 32, 140, 66, 174, 33, 141)(13, 121, 34, 142, 70, 178, 35, 143)(16, 124, 24, 132, 45, 153, 36, 144)(17, 125, 40, 148, 72, 180, 42, 150)(18, 126, 43, 151, 55, 163, 44, 152)(26, 134, 57, 165, 94, 202, 59, 167)(27, 135, 60, 168, 98, 206, 61, 169)(28, 136, 58, 166, 91, 199, 62, 170)(30, 138, 64, 172, 85, 193, 48, 156)(31, 139, 65, 173, 89, 197, 53, 161)(38, 146, 69, 177, 107, 215, 73, 181)(39, 147, 74, 182, 84, 192, 47, 155)(49, 157, 83, 191, 104, 212, 86, 194)(50, 158, 87, 195, 102, 210, 76, 184)(51, 159, 88, 196, 103, 211, 80, 188)(54, 162, 90, 198, 101, 209, 75, 183)(56, 164, 92, 200, 77, 185, 93, 201)(63, 171, 100, 208, 82, 190, 95, 203)(67, 175, 81, 189, 96, 204, 105, 213)(68, 176, 78, 186, 97, 205, 106, 214)(71, 179, 79, 187, 99, 207, 108, 216)(217, 325, 219, 327, 226, 334, 244, 352, 232, 340, 221, 329)(218, 326, 223, 331, 236, 344, 265, 373, 240, 348, 224, 332)(220, 328, 228, 336, 245, 353, 279, 387, 252, 360, 229, 337)(222, 330, 233, 341, 257, 365, 293, 401, 261, 369, 234, 342)(225, 333, 242, 350, 274, 382, 254, 362, 230, 338, 243, 351)(227, 335, 246, 354, 278, 386, 255, 363, 231, 339, 247, 355)(235, 343, 263, 371, 299, 407, 269, 377, 238, 346, 264, 372)(237, 345, 266, 374, 302, 410, 270, 378, 239, 347, 267, 375)(241, 349, 271, 379, 307, 415, 288, 396, 253, 361, 272, 380)(248, 356, 283, 391, 316, 424, 287, 395, 250, 358, 284, 392)(249, 357, 276, 384, 311, 419, 273, 381, 251, 359, 285, 393)(256, 364, 291, 399, 309, 417, 296, 404, 259, 367, 292, 400)(258, 366, 294, 402, 308, 416, 297, 405, 260, 368, 295, 403)(262, 370, 286, 394, 320, 428, 282, 390, 268, 376, 298, 406)(275, 383, 312, 420, 289, 397, 315, 423, 277, 385, 313, 421)(280, 388, 317, 425, 290, 398, 319, 427, 281, 389, 318, 426)(300, 408, 310, 418, 305, 413, 323, 431, 301, 409, 314, 422)(303, 411, 321, 429, 306, 414, 324, 432, 304, 412, 322, 430)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 236)(8, 218)(9, 242)(10, 244)(11, 246)(12, 245)(13, 220)(14, 243)(15, 247)(16, 221)(17, 257)(18, 222)(19, 263)(20, 265)(21, 266)(22, 264)(23, 267)(24, 224)(25, 271)(26, 274)(27, 225)(28, 232)(29, 279)(30, 278)(31, 227)(32, 283)(33, 276)(34, 284)(35, 285)(36, 229)(37, 272)(38, 230)(39, 231)(40, 291)(41, 293)(42, 294)(43, 292)(44, 295)(45, 234)(46, 286)(47, 299)(48, 235)(49, 240)(50, 302)(51, 237)(52, 298)(53, 238)(54, 239)(55, 307)(56, 241)(57, 251)(58, 254)(59, 312)(60, 311)(61, 313)(62, 255)(63, 252)(64, 317)(65, 318)(66, 268)(67, 316)(68, 248)(69, 249)(70, 320)(71, 250)(72, 253)(73, 315)(74, 319)(75, 309)(76, 256)(77, 261)(78, 308)(79, 258)(80, 259)(81, 260)(82, 262)(83, 269)(84, 310)(85, 314)(86, 270)(87, 321)(88, 322)(89, 323)(90, 324)(91, 288)(92, 297)(93, 296)(94, 305)(95, 273)(96, 289)(97, 275)(98, 300)(99, 277)(100, 287)(101, 290)(102, 280)(103, 281)(104, 282)(105, 306)(106, 303)(107, 301)(108, 304)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 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 E19.1892
Graph:: bipartite
	v = 45 e = 216 f = 135
	degree seq :: [ 8^27, 12^18 ]

E19.1892 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3^6, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-2 * Y2 * Y3, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y3 * Y2^-1)^4, Y2^-2 * Y3 * Y2^2 * Y3 * Y2^-2 * Y3, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 222, 330, 220, 328)(219, 327, 225, 333, 241, 349, 227, 335)(221, 329, 230, 338, 253, 361, 231, 339)(223, 331, 235, 343, 262, 370, 237, 345)(224, 332, 238, 346, 268, 376, 239, 347)(226, 334, 236, 344, 257, 365, 245, 353)(228, 336, 248, 356, 282, 390, 249, 357)(229, 337, 250, 358, 286, 394, 251, 359)(232, 340, 240, 348, 261, 369, 252, 360)(233, 341, 256, 364, 288, 396, 258, 366)(234, 342, 259, 367, 271, 379, 260, 368)(242, 350, 273, 381, 310, 418, 275, 383)(243, 351, 276, 384, 313, 421, 277, 385)(244, 352, 274, 382, 307, 415, 278, 386)(246, 354, 280, 388, 305, 413, 269, 377)(247, 355, 281, 389, 300, 408, 263, 371)(254, 362, 285, 393, 323, 431, 289, 397)(255, 363, 290, 398, 301, 409, 264, 372)(265, 373, 299, 407, 320, 428, 302, 410)(266, 374, 303, 411, 317, 425, 296, 404)(267, 375, 304, 412, 318, 426, 291, 399)(270, 378, 306, 414, 319, 427, 292, 400)(272, 380, 308, 416, 293, 401, 309, 417)(279, 387, 316, 424, 298, 406, 314, 422)(283, 391, 295, 403, 312, 420, 321, 429)(284, 392, 297, 405, 315, 423, 322, 430)(287, 395, 294, 402, 311, 419, 324, 432)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 236)(8, 218)(9, 242)(10, 244)(11, 246)(12, 245)(13, 220)(14, 243)(15, 247)(16, 221)(17, 257)(18, 222)(19, 263)(20, 265)(21, 266)(22, 264)(23, 267)(24, 224)(25, 271)(26, 274)(27, 225)(28, 232)(29, 279)(30, 278)(31, 227)(32, 283)(33, 285)(34, 284)(35, 273)(36, 229)(37, 272)(38, 230)(39, 231)(40, 291)(41, 293)(42, 294)(43, 292)(44, 295)(45, 234)(46, 286)(47, 299)(48, 235)(49, 240)(50, 302)(51, 237)(52, 298)(53, 238)(54, 239)(55, 307)(56, 241)(57, 249)(58, 254)(59, 311)(60, 251)(61, 312)(62, 255)(63, 252)(64, 317)(65, 318)(66, 268)(67, 316)(68, 248)(69, 314)(70, 320)(71, 250)(72, 253)(73, 315)(74, 319)(75, 309)(76, 256)(77, 261)(78, 308)(79, 258)(80, 259)(81, 260)(82, 262)(83, 269)(84, 323)(85, 310)(86, 270)(87, 324)(88, 321)(89, 313)(90, 322)(91, 288)(92, 297)(93, 296)(94, 300)(95, 289)(96, 275)(97, 301)(98, 276)(99, 277)(100, 287)(101, 290)(102, 280)(103, 281)(104, 282)(105, 303)(106, 304)(107, 305)(108, 306)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1891
Graph:: simple bipartite
	v = 135 e = 216 f = 45
	degree seq :: [ 2^108, 8^27 ]

E19.1893 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = (C3 x C3 x C3) : C4 (small group id <108, 37>)
Aut   = (C3 x S3 x S3) : C2 (small group id <216, 158>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^-2 * T1^-1, T2^6, (T2 * T1)^4, (T1^-2 * T2)^3, T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 16, 5)(2, 7, 20, 49, 24, 8)(4, 12, 33, 63, 29, 13)(6, 17, 41, 77, 45, 18)(9, 26, 14, 38, 61, 27)(11, 30, 15, 39, 62, 31)(19, 47, 22, 53, 85, 48)(21, 50, 23, 54, 86, 51)(25, 55, 91, 72, 37, 56)(32, 67, 35, 71, 100, 68)(34, 57, 36, 59, 98, 69)(40, 75, 43, 80, 93, 76)(42, 78, 44, 81, 92, 79)(46, 70, 104, 66, 52, 82)(58, 95, 60, 99, 73, 96)(64, 101, 65, 103, 74, 102)(83, 97, 84, 94, 89, 107)(87, 108, 88, 105, 90, 106)(109, 110, 114, 112)(111, 117, 133, 119)(113, 122, 145, 123)(115, 127, 154, 129)(116, 130, 160, 131)(118, 132, 149, 137)(120, 140, 174, 142)(121, 143, 178, 144)(124, 128, 153, 141)(125, 148, 180, 150)(126, 151, 163, 152)(134, 165, 202, 166)(135, 167, 205, 168)(136, 169, 199, 170)(138, 172, 191, 155)(139, 173, 197, 161)(146, 177, 215, 181)(147, 182, 192, 156)(157, 193, 212, 194)(158, 195, 211, 183)(159, 196, 209, 188)(162, 198, 210, 184)(164, 200, 185, 201)(171, 208, 190, 206)(175, 186, 207, 213)(176, 189, 203, 214)(179, 187, 204, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E19.1894
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 4^27, 6^18 ]

E19.1894 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = (C3 x C3 x C3) : C4 (small group id <108, 37>)
Aut   = (C3 x S3 x S3) : C2 (small group id <216, 158>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T1^4, (T1 * T2^-1)^3, T2^-2 * T1 * T2 * T1^-2 * T2 * T1, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 10, 118, 5, 113)(2, 110, 7, 115, 19, 127, 8, 116)(4, 112, 12, 120, 30, 138, 13, 121)(6, 114, 16, 124, 39, 147, 17, 125)(9, 117, 24, 132, 42, 150, 25, 133)(11, 119, 21, 129, 50, 158, 28, 136)(14, 122, 35, 143, 66, 174, 31, 139)(15, 123, 36, 144, 38, 146, 37, 145)(18, 126, 44, 152, 33, 141, 45, 153)(20, 128, 41, 149, 75, 183, 48, 156)(22, 130, 51, 159, 29, 137, 52, 160)(23, 131, 53, 161, 86, 194, 54, 162)(26, 134, 60, 168, 89, 197, 61, 169)(27, 135, 57, 165, 76, 184, 43, 151)(32, 140, 67, 175, 73, 181, 40, 148)(34, 142, 68, 176, 82, 190, 46, 154)(47, 155, 79, 187, 98, 206, 70, 178)(49, 157, 85, 193, 58, 166, 71, 179)(55, 163, 90, 198, 63, 171, 91, 199)(56, 164, 88, 196, 101, 209, 92, 200)(59, 167, 83, 191, 99, 207, 94, 202)(62, 170, 81, 189, 100, 208, 87, 195)(64, 172, 72, 180, 69, 177, 96, 204)(65, 173, 74, 182, 102, 210, 80, 188)(77, 185, 104, 212, 84, 192, 105, 213)(78, 186, 103, 211, 97, 205, 106, 214)(93, 201, 107, 215, 95, 203, 108, 216)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 122)(6, 112)(7, 126)(8, 129)(9, 131)(10, 134)(11, 111)(12, 137)(13, 140)(14, 142)(15, 113)(16, 146)(17, 149)(18, 151)(19, 154)(20, 115)(21, 157)(22, 116)(23, 119)(24, 163)(25, 165)(26, 167)(27, 118)(28, 170)(29, 172)(30, 173)(31, 120)(32, 168)(33, 121)(34, 123)(35, 171)(36, 177)(37, 164)(38, 178)(39, 179)(40, 124)(41, 182)(42, 125)(43, 128)(44, 185)(45, 187)(46, 189)(47, 127)(48, 191)(49, 130)(50, 192)(51, 194)(52, 186)(53, 138)(54, 196)(55, 145)(56, 132)(57, 201)(58, 133)(59, 135)(60, 141)(61, 144)(62, 143)(63, 136)(64, 139)(65, 195)(66, 202)(67, 205)(68, 184)(69, 203)(70, 148)(71, 207)(72, 147)(73, 208)(74, 150)(75, 209)(76, 211)(77, 160)(78, 152)(79, 215)(80, 153)(81, 155)(82, 159)(83, 158)(84, 156)(85, 206)(86, 216)(87, 161)(88, 213)(89, 162)(90, 214)(91, 210)(92, 176)(93, 166)(94, 175)(95, 169)(96, 212)(97, 174)(98, 198)(99, 180)(100, 183)(101, 181)(102, 204)(103, 200)(104, 199)(105, 197)(106, 193)(107, 188)(108, 190)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.1893
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 108 f = 45
	degree seq :: [ 8^27 ]

E19.1895 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C4 (small group id <108, 37>)
Aut   = (C3 x S3 x S3) : C2 (small group id <216, 158>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y1^4, R * Y2 * R * Y3, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-2 * Y1 * Y2^-1, Y2^6, (Y2 * Y1)^4, (Y3^-1 * Y1^-1)^4, (Y1^-2 * Y2)^3, Y1 * Y2 * Y1^-2 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 25, 133, 11, 119)(5, 113, 14, 122, 37, 145, 15, 123)(7, 115, 19, 127, 46, 154, 21, 129)(8, 116, 22, 130, 52, 160, 23, 131)(10, 118, 24, 132, 41, 149, 29, 137)(12, 120, 32, 140, 66, 174, 34, 142)(13, 121, 35, 143, 70, 178, 36, 144)(16, 124, 20, 128, 45, 153, 33, 141)(17, 125, 40, 148, 72, 180, 42, 150)(18, 126, 43, 151, 55, 163, 44, 152)(26, 134, 57, 165, 94, 202, 58, 166)(27, 135, 59, 167, 97, 205, 60, 168)(28, 136, 61, 169, 91, 199, 62, 170)(30, 138, 64, 172, 83, 191, 47, 155)(31, 139, 65, 173, 89, 197, 53, 161)(38, 146, 69, 177, 107, 215, 73, 181)(39, 147, 74, 182, 84, 192, 48, 156)(49, 157, 85, 193, 104, 212, 86, 194)(50, 158, 87, 195, 103, 211, 75, 183)(51, 159, 88, 196, 101, 209, 80, 188)(54, 162, 90, 198, 102, 210, 76, 184)(56, 164, 92, 200, 77, 185, 93, 201)(63, 171, 100, 208, 82, 190, 98, 206)(67, 175, 78, 186, 99, 207, 105, 213)(68, 176, 81, 189, 95, 203, 106, 214)(71, 179, 79, 187, 96, 204, 108, 216)(217, 325, 219, 327, 226, 334, 244, 352, 232, 340, 221, 329)(218, 326, 223, 331, 236, 344, 265, 373, 240, 348, 224, 332)(220, 328, 228, 336, 249, 357, 279, 387, 245, 353, 229, 337)(222, 330, 233, 341, 257, 365, 293, 401, 261, 369, 234, 342)(225, 333, 242, 350, 230, 338, 254, 362, 277, 385, 243, 351)(227, 335, 246, 354, 231, 339, 255, 363, 278, 386, 247, 355)(235, 343, 263, 371, 238, 346, 269, 377, 301, 409, 264, 372)(237, 345, 266, 374, 239, 347, 270, 378, 302, 410, 267, 375)(241, 349, 271, 379, 307, 415, 288, 396, 253, 361, 272, 380)(248, 356, 283, 391, 251, 359, 287, 395, 316, 424, 284, 392)(250, 358, 273, 381, 252, 360, 275, 383, 314, 422, 285, 393)(256, 364, 291, 399, 259, 367, 296, 404, 309, 417, 292, 400)(258, 366, 294, 402, 260, 368, 297, 405, 308, 416, 295, 403)(262, 370, 286, 394, 320, 428, 282, 390, 268, 376, 298, 406)(274, 382, 311, 419, 276, 384, 315, 423, 289, 397, 312, 420)(280, 388, 317, 425, 281, 389, 319, 427, 290, 398, 318, 426)(299, 407, 313, 421, 300, 408, 310, 418, 305, 413, 323, 431)(303, 411, 324, 432, 304, 412, 321, 429, 306, 414, 322, 430)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 236)(8, 218)(9, 242)(10, 244)(11, 246)(12, 249)(13, 220)(14, 254)(15, 255)(16, 221)(17, 257)(18, 222)(19, 263)(20, 265)(21, 266)(22, 269)(23, 270)(24, 224)(25, 271)(26, 230)(27, 225)(28, 232)(29, 229)(30, 231)(31, 227)(32, 283)(33, 279)(34, 273)(35, 287)(36, 275)(37, 272)(38, 277)(39, 278)(40, 291)(41, 293)(42, 294)(43, 296)(44, 297)(45, 234)(46, 286)(47, 238)(48, 235)(49, 240)(50, 239)(51, 237)(52, 298)(53, 301)(54, 302)(55, 307)(56, 241)(57, 252)(58, 311)(59, 314)(60, 315)(61, 243)(62, 247)(63, 245)(64, 317)(65, 319)(66, 268)(67, 251)(68, 248)(69, 250)(70, 320)(71, 316)(72, 253)(73, 312)(74, 318)(75, 259)(76, 256)(77, 261)(78, 260)(79, 258)(80, 309)(81, 308)(82, 262)(83, 313)(84, 310)(85, 264)(86, 267)(87, 324)(88, 321)(89, 323)(90, 322)(91, 288)(92, 295)(93, 292)(94, 305)(95, 276)(96, 274)(97, 300)(98, 285)(99, 289)(100, 284)(101, 281)(102, 280)(103, 290)(104, 282)(105, 306)(106, 303)(107, 299)(108, 304)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 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 E19.1896
Graph:: bipartite
	v = 45 e = 216 f = 135
	degree seq :: [ 8^27, 12^18 ]

E19.1896 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C4 (small group id <108, 37>)
Aut   = (C3 x S3 x S3) : C2 (small group id <216, 158>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^2 * Y2^-1, Y3^6, (Y3^-1 * Y2)^4, Y2 * Y3 * Y2^-2 * Y3 * Y2^2 * Y3 * Y2, (Y2^-2 * Y3)^3, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 222, 330, 220, 328)(219, 327, 225, 333, 241, 349, 227, 335)(221, 329, 230, 338, 253, 361, 231, 339)(223, 331, 235, 343, 262, 370, 237, 345)(224, 332, 238, 346, 268, 376, 239, 347)(226, 334, 240, 348, 257, 365, 245, 353)(228, 336, 248, 356, 282, 390, 250, 358)(229, 337, 251, 359, 286, 394, 252, 360)(232, 340, 236, 344, 261, 369, 249, 357)(233, 341, 256, 364, 288, 396, 258, 366)(234, 342, 259, 367, 271, 379, 260, 368)(242, 350, 273, 381, 310, 418, 274, 382)(243, 351, 275, 383, 313, 421, 276, 384)(244, 352, 277, 385, 307, 415, 278, 386)(246, 354, 280, 388, 299, 407, 263, 371)(247, 355, 281, 389, 305, 413, 269, 377)(254, 362, 285, 393, 323, 431, 289, 397)(255, 363, 290, 398, 300, 408, 264, 372)(265, 373, 301, 409, 320, 428, 302, 410)(266, 374, 303, 411, 319, 427, 291, 399)(267, 375, 304, 412, 317, 425, 296, 404)(270, 378, 306, 414, 318, 426, 292, 400)(272, 380, 308, 416, 293, 401, 309, 417)(279, 387, 316, 424, 298, 406, 314, 422)(283, 391, 294, 402, 315, 423, 321, 429)(284, 392, 297, 405, 311, 419, 322, 430)(287, 395, 295, 403, 312, 420, 324, 432)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 236)(8, 218)(9, 242)(10, 244)(11, 246)(12, 249)(13, 220)(14, 254)(15, 255)(16, 221)(17, 257)(18, 222)(19, 263)(20, 265)(21, 266)(22, 269)(23, 270)(24, 224)(25, 271)(26, 230)(27, 225)(28, 232)(29, 229)(30, 231)(31, 227)(32, 283)(33, 279)(34, 273)(35, 287)(36, 275)(37, 272)(38, 277)(39, 278)(40, 291)(41, 293)(42, 294)(43, 296)(44, 297)(45, 234)(46, 286)(47, 238)(48, 235)(49, 240)(50, 239)(51, 237)(52, 298)(53, 301)(54, 302)(55, 307)(56, 241)(57, 252)(58, 311)(59, 314)(60, 315)(61, 243)(62, 247)(63, 245)(64, 317)(65, 319)(66, 268)(67, 251)(68, 248)(69, 250)(70, 320)(71, 316)(72, 253)(73, 312)(74, 318)(75, 259)(76, 256)(77, 261)(78, 260)(79, 258)(80, 309)(81, 308)(82, 262)(83, 313)(84, 310)(85, 264)(86, 267)(87, 324)(88, 321)(89, 323)(90, 322)(91, 288)(92, 295)(93, 292)(94, 305)(95, 276)(96, 274)(97, 300)(98, 285)(99, 289)(100, 284)(101, 281)(102, 280)(103, 290)(104, 282)(105, 306)(106, 303)(107, 299)(108, 304)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1895
Graph:: simple bipartite
	v = 135 e = 216 f = 45
	degree seq :: [ 2^108, 8^27 ]

E19.1897 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T2^4, T2^-2 * T1 * T2^-2 * T1^-1, T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T1 * T2^-1 * T1 * T2)^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 22, 12)(8, 20, 13, 21)(10, 23, 14, 24)(15, 29, 18, 30)(17, 31, 19, 32)(25, 41, 27, 42)(26, 43, 28, 44)(33, 53, 35, 54)(34, 55, 36, 56)(37, 57, 39, 58)(38, 59, 40, 60)(45, 69, 47, 70)(46, 71, 48, 72)(49, 73, 51, 74)(50, 75, 52, 76)(61, 89, 63, 90)(62, 84, 64, 86)(65, 91, 67, 92)(66, 77, 68, 79)(78, 97, 80, 98)(81, 99, 82, 100)(83, 101, 85, 102)(87, 103, 88, 104)(93, 105, 94, 106)(95, 107, 96, 108)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 123, 125)(115, 126, 127)(117, 124, 130)(119, 133, 134)(120, 135, 136)(128, 141, 142)(129, 143, 144)(131, 145, 146)(132, 147, 148)(137, 153, 154)(138, 155, 156)(139, 157, 158)(140, 159, 160)(149, 169, 170)(150, 171, 172)(151, 173, 174)(152, 175, 176)(161, 185, 186)(162, 187, 188)(163, 181, 189)(164, 182, 190)(165, 191, 192)(166, 193, 194)(167, 195, 177)(168, 196, 178)(179, 199, 201)(180, 200, 202)(183, 203, 197)(184, 204, 198)(205, 211, 215)(206, 212, 216)(207, 213, 209)(208, 214, 210)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1901
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 3^36, 4^27 ]

E19.1898 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, (T2 * T1)^3, T2^-6 * T1^2, T1 * T2^-2 * T1 * T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-3 * T1^-1, T2^-3 * T1 * T2^-2 * T1 * T2 * T1^-1 * T2^-2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 38, 18, 6, 17, 37, 36, 16, 5)(2, 7, 20, 41, 31, 13, 4, 12, 30, 48, 24, 8)(9, 22, 44, 72, 56, 29, 11, 23, 45, 74, 51, 25)(14, 32, 58, 65, 39, 19, 15, 33, 60, 70, 43, 21)(26, 49, 77, 95, 86, 55, 28, 50, 78, 96, 83, 52)(34, 61, 91, 105, 87, 57, 35, 62, 92, 104, 90, 59)(40, 63, 93, 80, 102, 69, 42, 64, 94, 79, 99, 66)(46, 75, 107, 88, 103, 71, 47, 76, 108, 89, 106, 73)(53, 81, 100, 67, 97, 85, 54, 82, 101, 68, 98, 84)(109, 110, 114, 112)(111, 117, 125, 119)(113, 122, 126, 123)(115, 127, 120, 129)(116, 130, 121, 131)(118, 134, 145, 136)(124, 142, 146, 143)(128, 148, 138, 150)(132, 154, 139, 155)(133, 157, 137, 158)(135, 161, 144, 162)(140, 165, 141, 167)(147, 171, 151, 172)(149, 175, 156, 176)(152, 179, 153, 181)(159, 187, 164, 188)(160, 189, 163, 190)(166, 196, 168, 197)(169, 192, 170, 193)(173, 203, 178, 204)(174, 205, 177, 206)(180, 212, 182, 213)(183, 208, 184, 209)(185, 201, 186, 202)(191, 215, 194, 216)(195, 211, 198, 214)(199, 207, 200, 210)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1902
Transitivity :: ET+
Graph:: bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1899 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^2 * T2 * T1 * T2^-1 * T1 * T2, T1^2 * T2^-1 * T1^-1 * T2^-1 * T1^3, (T2^-1 * T1^-1)^4, T2 * T1^-1 * T2 * T1^2 * T2^-1 * T1 * T2^-1 * T1^-2, T1^-2 * T2 * T1^4 * T2 * T1^-2 * T2 ]
Map:: non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 26, 28)(12, 31, 33)(14, 37, 38)(15, 39, 41)(16, 43, 44)(19, 48, 35)(20, 49, 51)(21, 40, 53)(22, 54, 56)(23, 30, 58)(27, 62, 64)(29, 42, 67)(32, 47, 70)(34, 59, 72)(36, 61, 73)(45, 79, 81)(46, 55, 83)(50, 87, 88)(52, 86, 90)(57, 93, 94)(60, 74, 82)(63, 95, 97)(65, 75, 98)(66, 69, 96)(68, 89, 91)(71, 100, 103)(76, 104, 85)(77, 105, 102)(78, 84, 106)(80, 101, 108)(92, 99, 107)(109, 110, 114, 124, 150, 132, 156, 149, 164, 140, 120, 112)(111, 117, 131, 165, 182, 145, 143, 121, 142, 171, 135, 118)(113, 122, 144, 158, 128, 115, 127, 136, 173, 184, 148, 123)(116, 129, 160, 188, 153, 125, 147, 159, 197, 200, 163, 130)(119, 137, 174, 207, 198, 167, 133, 141, 179, 209, 176, 138)(126, 154, 190, 205, 185, 151, 162, 189, 170, 202, 192, 155)(134, 168, 187, 215, 211, 183, 146, 172, 191, 216, 204, 169)(139, 152, 186, 212, 181, 208, 175, 178, 210, 195, 206, 177)(157, 193, 213, 201, 180, 199, 161, 196, 214, 203, 166, 194)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^3 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1900
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 3^36, 12^9 ]

E19.1900 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T2^4, T2^-2 * T1 * T2^-2 * T1^-1, T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T1 * T2^-1 * T1 * T2)^3 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 9, 117, 5, 113)(2, 110, 6, 114, 16, 124, 7, 115)(4, 112, 11, 119, 22, 130, 12, 120)(8, 116, 20, 128, 13, 121, 21, 129)(10, 118, 23, 131, 14, 122, 24, 132)(15, 123, 29, 137, 18, 126, 30, 138)(17, 125, 31, 139, 19, 127, 32, 140)(25, 133, 41, 149, 27, 135, 42, 150)(26, 134, 43, 151, 28, 136, 44, 152)(33, 141, 53, 161, 35, 143, 54, 162)(34, 142, 55, 163, 36, 144, 56, 164)(37, 145, 57, 165, 39, 147, 58, 166)(38, 146, 59, 167, 40, 148, 60, 168)(45, 153, 69, 177, 47, 155, 70, 178)(46, 154, 71, 179, 48, 156, 72, 180)(49, 157, 73, 181, 51, 159, 74, 182)(50, 158, 75, 183, 52, 160, 76, 184)(61, 169, 89, 197, 63, 171, 90, 198)(62, 170, 84, 192, 64, 172, 86, 194)(65, 173, 91, 199, 67, 175, 92, 200)(66, 174, 77, 185, 68, 176, 79, 187)(78, 186, 97, 205, 80, 188, 98, 206)(81, 189, 99, 207, 82, 190, 100, 208)(83, 191, 101, 209, 85, 193, 102, 210)(87, 195, 103, 211, 88, 196, 104, 212)(93, 201, 105, 213, 94, 202, 106, 214)(95, 203, 107, 215, 96, 204, 108, 216)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 123)(7, 126)(8, 118)(9, 124)(10, 111)(11, 133)(12, 135)(13, 122)(14, 113)(15, 125)(16, 130)(17, 114)(18, 127)(19, 115)(20, 141)(21, 143)(22, 117)(23, 145)(24, 147)(25, 134)(26, 119)(27, 136)(28, 120)(29, 153)(30, 155)(31, 157)(32, 159)(33, 142)(34, 128)(35, 144)(36, 129)(37, 146)(38, 131)(39, 148)(40, 132)(41, 169)(42, 171)(43, 173)(44, 175)(45, 154)(46, 137)(47, 156)(48, 138)(49, 158)(50, 139)(51, 160)(52, 140)(53, 185)(54, 187)(55, 181)(56, 182)(57, 191)(58, 193)(59, 195)(60, 196)(61, 170)(62, 149)(63, 172)(64, 150)(65, 174)(66, 151)(67, 176)(68, 152)(69, 167)(70, 168)(71, 199)(72, 200)(73, 189)(74, 190)(75, 203)(76, 204)(77, 186)(78, 161)(79, 188)(80, 162)(81, 163)(82, 164)(83, 192)(84, 165)(85, 194)(86, 166)(87, 177)(88, 178)(89, 183)(90, 184)(91, 201)(92, 202)(93, 179)(94, 180)(95, 197)(96, 198)(97, 211)(98, 212)(99, 213)(100, 214)(101, 207)(102, 208)(103, 215)(104, 216)(105, 209)(106, 210)(107, 205)(108, 206)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1899
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 108 f = 45
	degree seq :: [ 8^27 ]

E19.1901 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, (T2 * T1)^3, T2^-6 * T1^2, T1 * T2^-2 * T1 * T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-3 * T1^-1, T2^-3 * T1 * T2^-2 * T1 * T2 * T1^-1 * T2^-2 * T1 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 10, 118, 27, 135, 38, 146, 18, 126, 6, 114, 17, 125, 37, 145, 36, 144, 16, 124, 5, 113)(2, 110, 7, 115, 20, 128, 41, 149, 31, 139, 13, 121, 4, 112, 12, 120, 30, 138, 48, 156, 24, 132, 8, 116)(9, 117, 22, 130, 44, 152, 72, 180, 56, 164, 29, 137, 11, 119, 23, 131, 45, 153, 74, 182, 51, 159, 25, 133)(14, 122, 32, 140, 58, 166, 65, 173, 39, 147, 19, 127, 15, 123, 33, 141, 60, 168, 70, 178, 43, 151, 21, 129)(26, 134, 49, 157, 77, 185, 95, 203, 86, 194, 55, 163, 28, 136, 50, 158, 78, 186, 96, 204, 83, 191, 52, 160)(34, 142, 61, 169, 91, 199, 105, 213, 87, 195, 57, 165, 35, 143, 62, 170, 92, 200, 104, 212, 90, 198, 59, 167)(40, 148, 63, 171, 93, 201, 80, 188, 102, 210, 69, 177, 42, 150, 64, 172, 94, 202, 79, 187, 99, 207, 66, 174)(46, 154, 75, 183, 107, 215, 88, 196, 103, 211, 71, 179, 47, 155, 76, 184, 108, 216, 89, 197, 106, 214, 73, 181)(53, 161, 81, 189, 100, 208, 67, 175, 97, 205, 85, 193, 54, 162, 82, 190, 101, 209, 68, 176, 98, 206, 84, 192)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 122)(6, 112)(7, 127)(8, 130)(9, 125)(10, 134)(11, 111)(12, 129)(13, 131)(14, 126)(15, 113)(16, 142)(17, 119)(18, 123)(19, 120)(20, 148)(21, 115)(22, 121)(23, 116)(24, 154)(25, 157)(26, 145)(27, 161)(28, 118)(29, 158)(30, 150)(31, 155)(32, 165)(33, 167)(34, 146)(35, 124)(36, 162)(37, 136)(38, 143)(39, 171)(40, 138)(41, 175)(42, 128)(43, 172)(44, 179)(45, 181)(46, 139)(47, 132)(48, 176)(49, 137)(50, 133)(51, 187)(52, 189)(53, 144)(54, 135)(55, 190)(56, 188)(57, 141)(58, 196)(59, 140)(60, 197)(61, 192)(62, 193)(63, 151)(64, 147)(65, 203)(66, 205)(67, 156)(68, 149)(69, 206)(70, 204)(71, 153)(72, 212)(73, 152)(74, 213)(75, 208)(76, 209)(77, 201)(78, 202)(79, 164)(80, 159)(81, 163)(82, 160)(83, 215)(84, 170)(85, 169)(86, 216)(87, 211)(88, 168)(89, 166)(90, 214)(91, 207)(92, 210)(93, 186)(94, 185)(95, 178)(96, 173)(97, 177)(98, 174)(99, 200)(100, 184)(101, 183)(102, 199)(103, 198)(104, 182)(105, 180)(106, 195)(107, 194)(108, 191)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.1897
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 63
	degree seq :: [ 24^9 ]

E19.1902 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^2 * T2 * T1 * T2^-1 * T1 * T2, T1^2 * T2^-1 * T1^-1 * T2^-1 * T1^3, (T2^-1 * T1^-1)^4, T2 * T1^-1 * T2 * T1^2 * T2^-1 * T1 * T2^-1 * T1^-2, T1^-2 * T2 * T1^4 * T2 * T1^-2 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 5, 113)(2, 110, 7, 115, 8, 116)(4, 112, 11, 119, 13, 121)(6, 114, 17, 125, 18, 126)(9, 117, 24, 132, 25, 133)(10, 118, 26, 134, 28, 136)(12, 120, 31, 139, 33, 141)(14, 122, 37, 145, 38, 146)(15, 123, 39, 147, 41, 149)(16, 124, 43, 151, 44, 152)(19, 127, 48, 156, 35, 143)(20, 128, 49, 157, 51, 159)(21, 129, 40, 148, 53, 161)(22, 130, 54, 162, 56, 164)(23, 131, 30, 138, 58, 166)(27, 135, 62, 170, 64, 172)(29, 137, 42, 150, 67, 175)(32, 140, 47, 155, 70, 178)(34, 142, 59, 167, 72, 180)(36, 144, 61, 169, 73, 181)(45, 153, 79, 187, 81, 189)(46, 154, 55, 163, 83, 191)(50, 158, 87, 195, 88, 196)(52, 160, 86, 194, 90, 198)(57, 165, 93, 201, 94, 202)(60, 168, 74, 182, 82, 190)(63, 171, 95, 203, 97, 205)(65, 173, 75, 183, 98, 206)(66, 174, 69, 177, 96, 204)(68, 176, 89, 197, 91, 199)(71, 179, 100, 208, 103, 211)(76, 184, 104, 212, 85, 193)(77, 185, 105, 213, 102, 210)(78, 186, 84, 192, 106, 214)(80, 188, 101, 209, 108, 216)(92, 200, 99, 207, 107, 215)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 122)(6, 124)(7, 127)(8, 129)(9, 131)(10, 111)(11, 137)(12, 112)(13, 142)(14, 144)(15, 113)(16, 150)(17, 147)(18, 154)(19, 136)(20, 115)(21, 160)(22, 116)(23, 165)(24, 156)(25, 141)(26, 168)(27, 118)(28, 173)(29, 174)(30, 119)(31, 152)(32, 120)(33, 179)(34, 171)(35, 121)(36, 158)(37, 143)(38, 172)(39, 159)(40, 123)(41, 164)(42, 132)(43, 162)(44, 186)(45, 125)(46, 190)(47, 126)(48, 149)(49, 193)(50, 128)(51, 197)(52, 188)(53, 196)(54, 189)(55, 130)(56, 140)(57, 182)(58, 194)(59, 133)(60, 187)(61, 134)(62, 202)(63, 135)(64, 191)(65, 184)(66, 207)(67, 178)(68, 138)(69, 139)(70, 210)(71, 209)(72, 199)(73, 208)(74, 145)(75, 146)(76, 148)(77, 151)(78, 212)(79, 215)(80, 153)(81, 170)(82, 205)(83, 216)(84, 155)(85, 213)(86, 157)(87, 206)(88, 214)(89, 200)(90, 167)(91, 161)(92, 163)(93, 180)(94, 192)(95, 166)(96, 169)(97, 185)(98, 177)(99, 198)(100, 175)(101, 176)(102, 195)(103, 183)(104, 181)(105, 201)(106, 203)(107, 211)(108, 204)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1898
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 6^36 ]

E19.1903 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, Y2^4, Y2^4, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2)^12 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 15, 123, 17, 125)(7, 115, 18, 126, 19, 127)(9, 117, 16, 124, 22, 130)(11, 119, 25, 133, 26, 134)(12, 120, 27, 135, 28, 136)(20, 128, 33, 141, 34, 142)(21, 129, 35, 143, 36, 144)(23, 131, 37, 145, 38, 146)(24, 132, 39, 147, 40, 148)(29, 137, 45, 153, 46, 154)(30, 138, 47, 155, 48, 156)(31, 139, 49, 157, 50, 158)(32, 140, 51, 159, 52, 160)(41, 149, 61, 169, 62, 170)(42, 150, 63, 171, 64, 172)(43, 151, 65, 173, 66, 174)(44, 152, 67, 175, 68, 176)(53, 161, 77, 185, 78, 186)(54, 162, 79, 187, 80, 188)(55, 163, 73, 181, 81, 189)(56, 164, 74, 182, 82, 190)(57, 165, 83, 191, 84, 192)(58, 166, 85, 193, 86, 194)(59, 167, 87, 195, 69, 177)(60, 168, 88, 196, 70, 178)(71, 179, 91, 199, 93, 201)(72, 180, 92, 200, 94, 202)(75, 183, 95, 203, 89, 197)(76, 184, 96, 204, 90, 198)(97, 205, 103, 211, 107, 215)(98, 206, 104, 212, 108, 216)(99, 207, 105, 213, 101, 209)(100, 208, 106, 214, 102, 210)(217, 325, 219, 327, 225, 333, 221, 329)(218, 326, 222, 330, 232, 340, 223, 331)(220, 328, 227, 335, 238, 346, 228, 336)(224, 332, 236, 344, 229, 337, 237, 345)(226, 334, 239, 347, 230, 338, 240, 348)(231, 339, 245, 353, 234, 342, 246, 354)(233, 341, 247, 355, 235, 343, 248, 356)(241, 349, 257, 365, 243, 351, 258, 366)(242, 350, 259, 367, 244, 352, 260, 368)(249, 357, 269, 377, 251, 359, 270, 378)(250, 358, 271, 379, 252, 360, 272, 380)(253, 361, 273, 381, 255, 363, 274, 382)(254, 362, 275, 383, 256, 364, 276, 384)(261, 369, 285, 393, 263, 371, 286, 394)(262, 370, 287, 395, 264, 372, 288, 396)(265, 373, 289, 397, 267, 375, 290, 398)(266, 374, 291, 399, 268, 376, 292, 400)(277, 385, 305, 413, 279, 387, 306, 414)(278, 386, 300, 408, 280, 388, 302, 410)(281, 389, 307, 415, 283, 391, 308, 416)(282, 390, 293, 401, 284, 392, 295, 403)(294, 402, 313, 421, 296, 404, 314, 422)(297, 405, 315, 423, 298, 406, 316, 424)(299, 407, 317, 425, 301, 409, 318, 426)(303, 411, 319, 427, 304, 412, 320, 428)(309, 417, 321, 429, 310, 418, 322, 430)(311, 419, 323, 431, 312, 420, 324, 432)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 233)(7, 235)(8, 219)(9, 238)(10, 224)(11, 242)(12, 244)(13, 221)(14, 229)(15, 222)(16, 225)(17, 231)(18, 223)(19, 234)(20, 250)(21, 252)(22, 232)(23, 254)(24, 256)(25, 227)(26, 241)(27, 228)(28, 243)(29, 262)(30, 264)(31, 266)(32, 268)(33, 236)(34, 249)(35, 237)(36, 251)(37, 239)(38, 253)(39, 240)(40, 255)(41, 278)(42, 280)(43, 282)(44, 284)(45, 245)(46, 261)(47, 246)(48, 263)(49, 247)(50, 265)(51, 248)(52, 267)(53, 294)(54, 296)(55, 297)(56, 298)(57, 300)(58, 302)(59, 285)(60, 286)(61, 257)(62, 277)(63, 258)(64, 279)(65, 259)(66, 281)(67, 260)(68, 283)(69, 303)(70, 304)(71, 309)(72, 310)(73, 271)(74, 272)(75, 305)(76, 306)(77, 269)(78, 293)(79, 270)(80, 295)(81, 289)(82, 290)(83, 273)(84, 299)(85, 274)(86, 301)(87, 275)(88, 276)(89, 311)(90, 312)(91, 287)(92, 288)(93, 307)(94, 308)(95, 291)(96, 292)(97, 323)(98, 324)(99, 317)(100, 318)(101, 321)(102, 322)(103, 313)(104, 314)(105, 315)(106, 316)(107, 319)(108, 320)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1906
Graph:: bipartite
	v = 63 e = 216 f = 117
	degree seq :: [ 6^36, 8^27 ]

E19.1904 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^3, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y1^2 * Y2 * Y1^2 * Y2^-1, Y2^-6 * Y1^2, Y2^2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-3 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^2 * Y1^-1 * Y2^3 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 17, 125, 11, 119)(5, 113, 14, 122, 18, 126, 15, 123)(7, 115, 19, 127, 12, 120, 21, 129)(8, 116, 22, 130, 13, 121, 23, 131)(10, 118, 26, 134, 37, 145, 28, 136)(16, 124, 34, 142, 38, 146, 35, 143)(20, 128, 40, 148, 30, 138, 42, 150)(24, 132, 46, 154, 31, 139, 47, 155)(25, 133, 49, 157, 29, 137, 50, 158)(27, 135, 53, 161, 36, 144, 54, 162)(32, 140, 57, 165, 33, 141, 59, 167)(39, 147, 63, 171, 43, 151, 64, 172)(41, 149, 67, 175, 48, 156, 68, 176)(44, 152, 71, 179, 45, 153, 73, 181)(51, 159, 79, 187, 56, 164, 80, 188)(52, 160, 81, 189, 55, 163, 82, 190)(58, 166, 88, 196, 60, 168, 89, 197)(61, 169, 84, 192, 62, 170, 85, 193)(65, 173, 95, 203, 70, 178, 96, 204)(66, 174, 97, 205, 69, 177, 98, 206)(72, 180, 104, 212, 74, 182, 105, 213)(75, 183, 100, 208, 76, 184, 101, 209)(77, 185, 93, 201, 78, 186, 94, 202)(83, 191, 107, 215, 86, 194, 108, 216)(87, 195, 103, 211, 90, 198, 106, 214)(91, 199, 99, 207, 92, 200, 102, 210)(217, 325, 219, 327, 226, 334, 243, 351, 254, 362, 234, 342, 222, 330, 233, 341, 253, 361, 252, 360, 232, 340, 221, 329)(218, 326, 223, 331, 236, 344, 257, 365, 247, 355, 229, 337, 220, 328, 228, 336, 246, 354, 264, 372, 240, 348, 224, 332)(225, 333, 238, 346, 260, 368, 288, 396, 272, 380, 245, 353, 227, 335, 239, 347, 261, 369, 290, 398, 267, 375, 241, 349)(230, 338, 248, 356, 274, 382, 281, 389, 255, 363, 235, 343, 231, 339, 249, 357, 276, 384, 286, 394, 259, 367, 237, 345)(242, 350, 265, 373, 293, 401, 311, 419, 302, 410, 271, 379, 244, 352, 266, 374, 294, 402, 312, 420, 299, 407, 268, 376)(250, 358, 277, 385, 307, 415, 321, 429, 303, 411, 273, 381, 251, 359, 278, 386, 308, 416, 320, 428, 306, 414, 275, 383)(256, 364, 279, 387, 309, 417, 296, 404, 318, 426, 285, 393, 258, 366, 280, 388, 310, 418, 295, 403, 315, 423, 282, 390)(262, 370, 291, 399, 323, 431, 304, 412, 319, 427, 287, 395, 263, 371, 292, 400, 324, 432, 305, 413, 322, 430, 289, 397)(269, 377, 297, 405, 316, 424, 283, 391, 313, 421, 301, 409, 270, 378, 298, 406, 317, 425, 284, 392, 314, 422, 300, 408)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 236)(8, 218)(9, 238)(10, 243)(11, 239)(12, 246)(13, 220)(14, 248)(15, 249)(16, 221)(17, 253)(18, 222)(19, 231)(20, 257)(21, 230)(22, 260)(23, 261)(24, 224)(25, 225)(26, 265)(27, 254)(28, 266)(29, 227)(30, 264)(31, 229)(32, 274)(33, 276)(34, 277)(35, 278)(36, 232)(37, 252)(38, 234)(39, 235)(40, 279)(41, 247)(42, 280)(43, 237)(44, 288)(45, 290)(46, 291)(47, 292)(48, 240)(49, 293)(50, 294)(51, 241)(52, 242)(53, 297)(54, 298)(55, 244)(56, 245)(57, 251)(58, 281)(59, 250)(60, 286)(61, 307)(62, 308)(63, 309)(64, 310)(65, 255)(66, 256)(67, 313)(68, 314)(69, 258)(70, 259)(71, 263)(72, 272)(73, 262)(74, 267)(75, 323)(76, 324)(77, 311)(78, 312)(79, 315)(80, 318)(81, 316)(82, 317)(83, 268)(84, 269)(85, 270)(86, 271)(87, 273)(88, 319)(89, 322)(90, 275)(91, 321)(92, 320)(93, 296)(94, 295)(95, 302)(96, 299)(97, 301)(98, 300)(99, 282)(100, 283)(101, 284)(102, 285)(103, 287)(104, 306)(105, 303)(106, 289)(107, 304)(108, 305)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ), ( 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 E19.1905
Graph:: bipartite
	v = 36 e = 216 f = 144
	degree seq :: [ 8^27, 24^9 ]

E19.1905 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3^-5 * Y2^-1, (Y3 * Y2^-1)^4, Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2, Y3 * Y2 * Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^2 * Y2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 220, 328)(219, 327, 224, 332, 226, 334)(221, 329, 229, 337, 230, 338)(222, 330, 232, 340, 234, 342)(223, 331, 235, 343, 236, 344)(225, 333, 240, 348, 242, 350)(227, 335, 245, 353, 247, 355)(228, 336, 248, 356, 249, 357)(231, 339, 255, 363, 256, 364)(233, 341, 260, 368, 262, 370)(237, 345, 238, 346, 267, 375)(239, 347, 264, 372, 270, 378)(241, 349, 274, 382, 276, 384)(243, 351, 252, 360, 265, 373)(244, 352, 266, 374, 278, 386)(246, 354, 280, 388, 254, 362)(250, 358, 258, 366, 284, 392)(251, 359, 286, 394, 279, 387)(253, 361, 287, 395, 275, 383)(257, 365, 292, 400, 273, 381)(259, 367, 282, 390, 294, 402)(261, 369, 298, 406, 299, 407)(263, 371, 283, 391, 301, 409)(268, 376, 304, 412, 297, 405)(269, 377, 305, 413, 307, 415)(271, 379, 272, 380, 293, 401)(277, 385, 308, 416, 313, 421)(281, 389, 315, 423, 316, 424)(285, 393, 317, 425, 314, 422)(288, 396, 300, 408, 291, 399)(289, 397, 303, 411, 302, 410)(290, 398, 295, 403, 296, 404)(306, 414, 321, 429, 319, 427)(309, 417, 322, 430, 318, 426)(310, 418, 311, 419, 323, 431)(312, 420, 320, 428, 324, 432)
	L = (1, 219)(2, 222)(3, 225)(4, 227)(5, 217)(6, 233)(7, 218)(8, 238)(9, 241)(10, 243)(11, 246)(12, 220)(13, 251)(14, 253)(15, 221)(16, 258)(17, 261)(18, 252)(19, 264)(20, 266)(21, 223)(22, 269)(23, 224)(24, 272)(25, 275)(26, 236)(27, 248)(28, 226)(29, 255)(30, 281)(31, 265)(32, 282)(33, 283)(34, 228)(35, 285)(36, 229)(37, 288)(38, 230)(39, 290)(40, 274)(41, 231)(42, 293)(43, 232)(44, 296)(45, 244)(46, 249)(47, 234)(48, 257)(49, 235)(50, 302)(51, 298)(52, 237)(53, 306)(54, 308)(55, 239)(56, 301)(57, 240)(58, 311)(59, 247)(60, 270)(61, 242)(62, 304)(63, 245)(64, 307)(65, 263)(66, 268)(67, 313)(68, 315)(69, 250)(70, 303)(71, 292)(72, 318)(73, 254)(74, 319)(75, 256)(76, 320)(77, 321)(78, 291)(79, 259)(80, 287)(81, 260)(82, 323)(83, 294)(84, 262)(85, 317)(86, 309)(87, 267)(88, 324)(89, 279)(90, 277)(91, 278)(92, 284)(93, 271)(94, 273)(95, 297)(96, 276)(97, 322)(98, 280)(99, 310)(100, 286)(101, 312)(102, 305)(103, 289)(104, 299)(105, 300)(106, 295)(107, 314)(108, 316)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1904
Graph:: simple bipartite
	v = 144 e = 216 f = 36
	degree seq :: [ 2^108, 6^36 ]

E19.1906 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^2 * Y3 * Y1 * Y3^-1 * Y1 * Y3, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^3, (Y3^-1 * Y1^-1)^4, Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^2 * Y3^-1, Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 16, 124, 42, 150, 24, 132, 48, 156, 41, 149, 56, 164, 32, 140, 12, 120, 4, 112)(3, 111, 9, 117, 23, 131, 57, 165, 74, 182, 37, 145, 35, 143, 13, 121, 34, 142, 63, 171, 27, 135, 10, 118)(5, 113, 14, 122, 36, 144, 50, 158, 20, 128, 7, 115, 19, 127, 28, 136, 65, 173, 76, 184, 40, 148, 15, 123)(8, 116, 21, 129, 52, 160, 80, 188, 45, 153, 17, 125, 39, 147, 51, 159, 89, 197, 92, 200, 55, 163, 22, 130)(11, 119, 29, 137, 66, 174, 99, 207, 90, 198, 59, 167, 25, 133, 33, 141, 71, 179, 101, 209, 68, 176, 30, 138)(18, 126, 46, 154, 82, 190, 97, 205, 77, 185, 43, 151, 54, 162, 81, 189, 62, 170, 94, 202, 84, 192, 47, 155)(26, 134, 60, 168, 79, 187, 107, 215, 103, 211, 75, 183, 38, 146, 64, 172, 83, 191, 108, 216, 96, 204, 61, 169)(31, 139, 44, 152, 78, 186, 104, 212, 73, 181, 100, 208, 67, 175, 70, 178, 102, 210, 87, 195, 98, 206, 69, 177)(49, 157, 85, 193, 105, 213, 93, 201, 72, 180, 91, 199, 53, 161, 88, 196, 106, 214, 95, 203, 58, 166, 86, 194)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 233)(7, 224)(8, 218)(9, 240)(10, 242)(11, 229)(12, 247)(13, 220)(14, 253)(15, 255)(16, 259)(17, 234)(18, 222)(19, 264)(20, 265)(21, 256)(22, 270)(23, 246)(24, 241)(25, 225)(26, 244)(27, 278)(28, 226)(29, 258)(30, 274)(31, 249)(32, 263)(33, 228)(34, 275)(35, 235)(36, 277)(37, 254)(38, 230)(39, 257)(40, 269)(41, 231)(42, 283)(43, 260)(44, 232)(45, 295)(46, 271)(47, 286)(48, 251)(49, 267)(50, 303)(51, 236)(52, 302)(53, 237)(54, 272)(55, 299)(56, 238)(57, 309)(58, 239)(59, 288)(60, 290)(61, 289)(62, 280)(63, 311)(64, 243)(65, 291)(66, 285)(67, 245)(68, 305)(69, 312)(70, 248)(71, 316)(72, 250)(73, 252)(74, 298)(75, 314)(76, 320)(77, 321)(78, 300)(79, 297)(80, 317)(81, 261)(82, 276)(83, 262)(84, 322)(85, 292)(86, 306)(87, 304)(88, 266)(89, 307)(90, 268)(91, 284)(92, 315)(93, 310)(94, 273)(95, 313)(96, 282)(97, 279)(98, 281)(99, 323)(100, 319)(101, 324)(102, 293)(103, 287)(104, 301)(105, 318)(106, 294)(107, 308)(108, 296)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1903
Graph:: simple bipartite
	v = 117 e = 216 f = 63
	degree seq :: [ 2^108, 24^9 ]

E19.1907 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, R * Y2^2 * Y1^-1 * R * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^4, (Y3 * Y2^-1)^4, (Y2 * R * Y2^-2 * Y1^-1)^2, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y3^-1, Y2 * Y3 * Y2^2 * Y1 * Y2^-1 * Y3^-1 * Y2^-2 * Y1^-1, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y1 * Y2^-2 * Y1 * Y2^4 * Y3^-1 * Y2^-2 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 24, 132, 26, 134)(11, 119, 29, 137, 31, 139)(12, 120, 32, 140, 33, 141)(15, 123, 39, 147, 40, 148)(17, 125, 36, 144, 45, 153)(21, 129, 50, 158, 51, 159)(22, 130, 42, 150, 38, 146)(23, 131, 53, 161, 54, 162)(25, 133, 57, 165, 58, 166)(27, 135, 34, 142, 62, 170)(28, 136, 63, 171, 64, 172)(30, 138, 48, 156, 67, 175)(35, 143, 43, 151, 71, 179)(37, 145, 46, 154, 73, 181)(41, 149, 60, 168, 76, 184)(44, 152, 77, 185, 78, 186)(47, 155, 66, 174, 83, 191)(49, 157, 68, 176, 85, 193)(52, 160, 80, 188, 88, 196)(55, 163, 91, 199, 92, 200)(56, 164, 82, 190, 86, 194)(59, 167, 65, 173, 87, 195)(61, 169, 79, 187, 81, 189)(69, 177, 100, 208, 89, 197)(70, 178, 74, 182, 84, 192)(72, 180, 90, 198, 97, 205)(75, 183, 99, 207, 101, 209)(93, 201, 103, 211, 108, 216)(94, 202, 105, 213, 104, 212)(95, 203, 96, 204, 106, 214)(98, 206, 102, 210, 107, 215)(217, 325, 219, 327, 225, 333, 241, 349, 259, 367, 232, 340, 258, 366, 249, 357, 280, 388, 257, 365, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 260, 368, 282, 390, 245, 353, 254, 362, 230, 338, 253, 361, 268, 376, 237, 345, 223, 331)(220, 328, 227, 335, 246, 354, 271, 379, 239, 347, 224, 332, 238, 346, 236, 344, 265, 373, 285, 393, 250, 358, 228, 336)(226, 334, 243, 351, 277, 385, 309, 417, 272, 380, 240, 348, 248, 356, 270, 378, 306, 414, 314, 422, 281, 389, 244, 352)(229, 337, 251, 359, 286, 394, 318, 426, 297, 405, 262, 370, 234, 342, 256, 364, 291, 399, 319, 427, 288, 396, 252, 360)(235, 343, 263, 371, 298, 406, 323, 431, 317, 425, 284, 392, 247, 355, 267, 375, 303, 411, 324, 432, 300, 408, 264, 372)(242, 350, 275, 383, 299, 407, 304, 412, 310, 418, 273, 381, 279, 387, 302, 410, 266, 374, 294, 402, 312, 420, 276, 384)(255, 363, 274, 382, 311, 419, 316, 424, 283, 391, 315, 423, 287, 395, 292, 400, 320, 428, 307, 415, 301, 409, 290, 398)(261, 369, 295, 403, 269, 377, 305, 413, 321, 429, 293, 401, 289, 397, 313, 421, 278, 386, 308, 416, 322, 430, 296, 404)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 234)(7, 236)(8, 219)(9, 242)(10, 224)(11, 247)(12, 249)(13, 221)(14, 229)(15, 256)(16, 222)(17, 261)(18, 232)(19, 223)(20, 235)(21, 267)(22, 254)(23, 270)(24, 225)(25, 274)(26, 240)(27, 278)(28, 280)(29, 227)(30, 283)(31, 245)(32, 228)(33, 248)(34, 243)(35, 287)(36, 233)(37, 289)(38, 258)(39, 231)(40, 255)(41, 292)(42, 238)(43, 251)(44, 294)(45, 252)(46, 253)(47, 299)(48, 246)(49, 301)(50, 237)(51, 266)(52, 304)(53, 239)(54, 269)(55, 308)(56, 302)(57, 241)(58, 273)(59, 303)(60, 257)(61, 297)(62, 250)(63, 244)(64, 279)(65, 275)(66, 263)(67, 264)(68, 265)(69, 305)(70, 300)(71, 259)(72, 313)(73, 262)(74, 286)(75, 317)(76, 276)(77, 260)(78, 293)(79, 277)(80, 268)(81, 295)(82, 272)(83, 282)(84, 290)(85, 284)(86, 298)(87, 281)(88, 296)(89, 316)(90, 288)(91, 271)(92, 307)(93, 324)(94, 320)(95, 322)(96, 311)(97, 306)(98, 323)(99, 291)(100, 285)(101, 315)(102, 314)(103, 309)(104, 321)(105, 310)(106, 312)(107, 318)(108, 319)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 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 E19.1908
Graph:: bipartite
	v = 45 e = 216 f = 135
	degree seq :: [ 6^36, 24^9 ]

E19.1908 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y3^-6 * Y1^2, (Y3^3 * Y1^-1)^3, Y1^-1 * Y3^3 * Y1 * Y3^3 * Y1^-1 * Y3^-3, Y3^2 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 17, 125, 11, 119)(5, 113, 14, 122, 18, 126, 15, 123)(7, 115, 19, 127, 12, 120, 21, 129)(8, 116, 22, 130, 13, 121, 23, 131)(10, 118, 26, 134, 37, 145, 28, 136)(16, 124, 34, 142, 38, 146, 35, 143)(20, 128, 40, 148, 30, 138, 42, 150)(24, 132, 46, 154, 31, 139, 47, 155)(25, 133, 49, 157, 29, 137, 50, 158)(27, 135, 53, 161, 36, 144, 54, 162)(32, 140, 57, 165, 33, 141, 59, 167)(39, 147, 63, 171, 43, 151, 64, 172)(41, 149, 67, 175, 48, 156, 68, 176)(44, 152, 71, 179, 45, 153, 73, 181)(51, 159, 79, 187, 56, 164, 80, 188)(52, 160, 81, 189, 55, 163, 82, 190)(58, 166, 88, 196, 60, 168, 89, 197)(61, 169, 84, 192, 62, 170, 85, 193)(65, 173, 95, 203, 70, 178, 96, 204)(66, 174, 97, 205, 69, 177, 98, 206)(72, 180, 104, 212, 74, 182, 105, 213)(75, 183, 100, 208, 76, 184, 101, 209)(77, 185, 93, 201, 78, 186, 94, 202)(83, 191, 107, 215, 86, 194, 108, 216)(87, 195, 103, 211, 90, 198, 106, 214)(91, 199, 99, 207, 92, 200, 102, 210)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 236)(8, 218)(9, 238)(10, 243)(11, 239)(12, 246)(13, 220)(14, 248)(15, 249)(16, 221)(17, 253)(18, 222)(19, 231)(20, 257)(21, 230)(22, 260)(23, 261)(24, 224)(25, 225)(26, 265)(27, 254)(28, 266)(29, 227)(30, 264)(31, 229)(32, 274)(33, 276)(34, 277)(35, 278)(36, 232)(37, 252)(38, 234)(39, 235)(40, 279)(41, 247)(42, 280)(43, 237)(44, 288)(45, 290)(46, 291)(47, 292)(48, 240)(49, 293)(50, 294)(51, 241)(52, 242)(53, 297)(54, 298)(55, 244)(56, 245)(57, 251)(58, 281)(59, 250)(60, 286)(61, 307)(62, 308)(63, 309)(64, 310)(65, 255)(66, 256)(67, 313)(68, 314)(69, 258)(70, 259)(71, 263)(72, 272)(73, 262)(74, 267)(75, 323)(76, 324)(77, 311)(78, 312)(79, 315)(80, 318)(81, 316)(82, 317)(83, 268)(84, 269)(85, 270)(86, 271)(87, 273)(88, 319)(89, 322)(90, 275)(91, 321)(92, 320)(93, 296)(94, 295)(95, 302)(96, 299)(97, 301)(98, 300)(99, 282)(100, 283)(101, 284)(102, 285)(103, 287)(104, 306)(105, 303)(106, 289)(107, 304)(108, 305)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1907
Graph:: simple bipartite
	v = 135 e = 216 f = 45
	degree seq :: [ 2^108, 8^27 ]

E19.1909 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, (T2 * T1^-1 * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 22, 12)(8, 20, 14, 21)(10, 23, 13, 24)(15, 29, 19, 30)(17, 31, 18, 32)(25, 41, 28, 42)(26, 43, 27, 44)(33, 53, 36, 54)(34, 55, 35, 56)(37, 57, 40, 58)(38, 59, 39, 60)(45, 69, 48, 70)(46, 71, 47, 72)(49, 73, 52, 74)(50, 75, 51, 76)(61, 85, 64, 88)(62, 89, 63, 90)(65, 80, 68, 81)(66, 91, 67, 92)(77, 97, 78, 98)(79, 99, 82, 100)(83, 101, 84, 102)(86, 103, 87, 104)(93, 105, 94, 106)(95, 107, 96, 108)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 123, 125)(115, 126, 127)(117, 130, 124)(119, 133, 134)(120, 135, 136)(128, 141, 142)(129, 143, 144)(131, 145, 146)(132, 147, 148)(137, 153, 154)(138, 155, 156)(139, 157, 158)(140, 159, 160)(149, 169, 170)(150, 171, 172)(151, 173, 174)(152, 175, 176)(161, 185, 183)(162, 184, 186)(163, 187, 188)(164, 189, 190)(165, 179, 191)(166, 192, 180)(167, 193, 194)(168, 195, 196)(177, 201, 199)(178, 200, 202)(181, 197, 203)(182, 204, 198)(205, 213, 211)(206, 212, 214)(207, 209, 215)(208, 216, 210)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1917
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 3^36, 4^27 ]

E19.1910 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^4, T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1, (T1^-1 * T2)^4, T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 46, 21)(10, 24, 54, 25)(13, 31, 64, 32)(14, 33, 67, 34)(15, 35, 69, 36)(17, 39, 75, 40)(18, 41, 76, 42)(19, 43, 78, 44)(22, 49, 86, 50)(23, 51, 89, 52)(26, 45, 80, 57)(28, 60, 98, 61)(29, 56, 88, 62)(30, 48, 84, 63)(37, 70, 102, 71)(38, 72, 103, 73)(47, 82, 104, 83)(53, 85, 65, 91)(55, 90, 66, 94)(58, 95, 105, 96)(59, 93, 107, 97)(68, 87, 106, 101)(74, 81, 77, 100)(79, 99, 108, 92)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 123, 125)(115, 126, 127)(117, 130, 131)(119, 134, 136)(120, 137, 138)(124, 145, 146)(128, 153, 143)(129, 155, 156)(132, 161, 150)(133, 163, 164)(135, 166, 167)(139, 148, 173)(140, 168, 174)(141, 144, 176)(142, 171, 152)(147, 182, 170)(149, 169, 185)(151, 165, 187)(154, 178, 189)(157, 193, 188)(158, 195, 196)(159, 183, 191)(160, 186, 198)(162, 200, 201)(172, 179, 207)(175, 208, 205)(177, 203, 202)(180, 206, 209)(181, 192, 199)(184, 204, 190)(194, 210, 213)(197, 211, 215)(212, 216, 214)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1918
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 3^36, 4^27 ]

E19.1911 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2 * T1^-1)^2, T1^4, (F * T1)^2, (T1^-1 * T2^-1)^3, T2^-2 * T1 * T2^4 * T1^-1 * T2^-2, T2^2 * T1^-2 * T2 * T1 * T2^-2 * T1 * T2 * T1^-2, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 46, 66, 102, 86, 56, 30, 14, 5)(2, 7, 18, 37, 67, 94, 89, 55, 72, 40, 20, 8)(4, 11, 26, 49, 80, 45, 76, 99, 87, 51, 27, 12)(6, 15, 32, 59, 95, 84, 107, 71, 100, 62, 34, 16)(9, 21, 41, 74, 104, 83, 48, 29, 54, 77, 43, 22)(13, 28, 53, 79, 44, 23, 39, 70, 103, 64, 35, 17)(19, 38, 69, 105, 65, 36, 61, 98, 90, 92, 57, 31)(25, 33, 60, 97, 78, 93, 58, 50, 85, 108, 82, 47)(42, 75, 96, 63, 101, 73, 91, 88, 52, 81, 106, 68)(109, 110, 114, 112)(111, 117, 127, 116)(113, 119, 133, 121)(115, 125, 141, 124)(118, 131, 150, 130)(120, 123, 139, 129)(122, 136, 160, 137)(126, 144, 171, 143)(128, 146, 176, 147)(132, 153, 186, 152)(134, 156, 189, 155)(135, 149, 181, 158)(138, 162, 198, 163)(140, 166, 199, 165)(142, 168, 204, 169)(145, 174, 212, 173)(148, 178, 216, 179)(151, 183, 205, 184)(154, 175, 203, 188)(157, 192, 213, 191)(159, 193, 211, 194)(161, 197, 200, 196)(164, 180, 208, 195)(167, 202, 187, 201)(170, 206, 185, 207)(172, 209, 182, 210)(177, 215, 190, 214)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1919
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1912 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2 * T1^-1 * T2^-3, (T2 * T1)^3, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1, T1^-1 * T2^-1 * T1^-2 * T2^2 * T1^-1 * T2^2 * T1^-1, T2 * T1^-1 * T2^3 * T1^-1 * T2 * T1^-2 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 60, 95, 108, 87, 51, 22, 16, 5)(2, 7, 20, 11, 31, 63, 91, 104, 77, 42, 24, 8)(4, 12, 33, 41, 75, 102, 98, 69, 37, 14, 35, 13)(6, 17, 40, 21, 49, 84, 106, 97, 66, 34, 44, 18)(9, 26, 55, 30, 62, 71, 99, 86, 50, 85, 58, 27)(15, 28, 48, 83, 61, 96, 103, 76, 70, 38, 46, 19)(23, 47, 74, 54, 25, 53, 90, 56, 88, 52, 72, 39)(32, 43, 73, 65, 80, 45, 79, 68, 36, 67, 78, 64)(57, 92, 105, 81, 59, 94, 100, 82, 107, 93, 101, 89)(109, 110, 114, 112)(111, 117, 133, 119)(113, 122, 144, 123)(115, 127, 153, 129)(116, 130, 158, 131)(118, 136, 167, 138)(120, 140, 169, 137)(121, 142, 164, 134)(124, 146, 165, 135)(125, 147, 179, 149)(126, 150, 184, 151)(128, 155, 190, 156)(132, 160, 189, 154)(139, 157, 183, 168)(141, 163, 200, 173)(143, 166, 201, 172)(145, 159, 185, 174)(148, 181, 209, 182)(152, 186, 208, 180)(161, 197, 211, 199)(162, 193, 177, 192)(170, 196, 212, 203)(171, 191, 175, 205)(176, 206, 207, 202)(178, 195, 210, 188)(187, 213, 198, 214)(194, 216, 204, 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) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1920
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1913 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1)^2, T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1, T1^-2 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-3 * T2^-1 * T1^4 * T2 * T1^-1, T1^-1 * T2 * T1^-2 * T2 * T1^-5, T2 * T1^-2 * T2 * T1 * T2^-1 * T1^2 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 26, 28)(12, 31, 23)(14, 35, 36)(15, 37, 38)(16, 40, 41)(19, 45, 46)(20, 47, 49)(21, 51, 52)(22, 53, 54)(27, 61, 34)(29, 58, 65)(30, 66, 57)(32, 70, 64)(33, 56, 73)(39, 79, 80)(42, 84, 86)(43, 88, 89)(44, 90, 91)(48, 94, 50)(55, 99, 93)(59, 77, 97)(60, 81, 76)(62, 92, 100)(63, 75, 82)(67, 78, 72)(68, 101, 103)(69, 96, 98)(71, 87, 85)(74, 102, 104)(83, 105, 106)(95, 107, 108)(109, 110, 114, 124, 147, 186, 169, 202, 179, 140, 120, 112)(111, 117, 131, 163, 187, 152, 126, 151, 195, 170, 135, 118)(113, 122, 142, 182, 188, 177, 139, 176, 193, 150, 125, 123)(115, 127, 121, 141, 180, 191, 149, 190, 178, 203, 156, 128)(116, 129, 158, 205, 175, 138, 119, 137, 172, 189, 148, 130)(132, 154, 136, 171, 198, 214, 201, 155, 200, 216, 197, 164)(133, 165, 196, 161, 199, 168, 134, 167, 208, 160, 207, 166)(143, 153, 146, 157, 204, 213, 212, 181, 192, 215, 211, 183)(144, 184, 209, 173, 206, 159, 145, 162, 194, 174, 210, 185)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^3 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1915
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 3^36, 12^9 ]

E19.1914 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, (T1 * T2^-1)^4, (T2^-1 * T1^-1)^4, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 23, 24)(10, 25, 27)(12, 29, 26)(14, 32, 33)(15, 34, 35)(16, 37, 38)(19, 41, 42)(20, 43, 44)(21, 45, 46)(22, 47, 48)(28, 55, 57)(30, 59, 56)(31, 61, 49)(36, 67, 68)(39, 71, 72)(40, 73, 74)(50, 83, 84)(51, 85, 65)(52, 86, 69)(53, 87, 81)(54, 89, 62)(58, 75, 93)(60, 88, 92)(63, 70, 96)(64, 90, 97)(66, 99, 100)(76, 103, 82)(77, 91, 101)(78, 104, 79)(80, 102, 95)(94, 106, 105)(98, 107, 108)(109, 110, 114, 124, 144, 174, 206, 202, 168, 138, 120, 112)(111, 117, 126, 148, 175, 209, 216, 211, 196, 161, 134, 118)(113, 122, 125, 147, 176, 210, 215, 212, 200, 166, 137, 123)(115, 127, 146, 178, 207, 197, 213, 192, 167, 139, 121, 128)(116, 129, 145, 177, 208, 193, 214, 198, 164, 136, 119, 130)(131, 157, 182, 151, 185, 150, 184, 204, 195, 162, 135, 158)(132, 159, 181, 205, 199, 165, 190, 155, 189, 154, 133, 160)(140, 170, 180, 191, 203, 169, 186, 152, 183, 149, 143, 171)(141, 163, 179, 156, 188, 153, 187, 194, 201, 173, 142, 172)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^3 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1916
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 3^36, 12^9 ]

E19.1915 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, (T2 * T1^-1 * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 9, 117, 5, 113)(2, 110, 6, 114, 16, 124, 7, 115)(4, 112, 11, 119, 22, 130, 12, 120)(8, 116, 20, 128, 14, 122, 21, 129)(10, 118, 23, 131, 13, 121, 24, 132)(15, 123, 29, 137, 19, 127, 30, 138)(17, 125, 31, 139, 18, 126, 32, 140)(25, 133, 41, 149, 28, 136, 42, 150)(26, 134, 43, 151, 27, 135, 44, 152)(33, 141, 53, 161, 36, 144, 54, 162)(34, 142, 55, 163, 35, 143, 56, 164)(37, 145, 57, 165, 40, 148, 58, 166)(38, 146, 59, 167, 39, 147, 60, 168)(45, 153, 69, 177, 48, 156, 70, 178)(46, 154, 71, 179, 47, 155, 72, 180)(49, 157, 73, 181, 52, 160, 74, 182)(50, 158, 75, 183, 51, 159, 76, 184)(61, 169, 85, 193, 64, 172, 88, 196)(62, 170, 89, 197, 63, 171, 90, 198)(65, 173, 80, 188, 68, 176, 81, 189)(66, 174, 91, 199, 67, 175, 92, 200)(77, 185, 97, 205, 78, 186, 98, 206)(79, 187, 99, 207, 82, 190, 100, 208)(83, 191, 101, 209, 84, 192, 102, 210)(86, 194, 103, 211, 87, 195, 104, 212)(93, 201, 105, 213, 94, 202, 106, 214)(95, 203, 107, 215, 96, 204, 108, 216)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 123)(7, 126)(8, 118)(9, 130)(10, 111)(11, 133)(12, 135)(13, 122)(14, 113)(15, 125)(16, 117)(17, 114)(18, 127)(19, 115)(20, 141)(21, 143)(22, 124)(23, 145)(24, 147)(25, 134)(26, 119)(27, 136)(28, 120)(29, 153)(30, 155)(31, 157)(32, 159)(33, 142)(34, 128)(35, 144)(36, 129)(37, 146)(38, 131)(39, 148)(40, 132)(41, 169)(42, 171)(43, 173)(44, 175)(45, 154)(46, 137)(47, 156)(48, 138)(49, 158)(50, 139)(51, 160)(52, 140)(53, 185)(54, 184)(55, 187)(56, 189)(57, 179)(58, 192)(59, 193)(60, 195)(61, 170)(62, 149)(63, 172)(64, 150)(65, 174)(66, 151)(67, 176)(68, 152)(69, 201)(70, 200)(71, 191)(72, 166)(73, 197)(74, 204)(75, 161)(76, 186)(77, 183)(78, 162)(79, 188)(80, 163)(81, 190)(82, 164)(83, 165)(84, 180)(85, 194)(86, 167)(87, 196)(88, 168)(89, 203)(90, 182)(91, 177)(92, 202)(93, 199)(94, 178)(95, 181)(96, 198)(97, 213)(98, 212)(99, 209)(100, 216)(101, 215)(102, 208)(103, 205)(104, 214)(105, 211)(106, 206)(107, 207)(108, 210)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1913
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 108 f = 45
	degree seq :: [ 8^27 ]

E19.1916 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^4, T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1, (T1^-1 * T2)^4, T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 9, 117, 5, 113)(2, 110, 6, 114, 16, 124, 7, 115)(4, 112, 11, 119, 27, 135, 12, 120)(8, 116, 20, 128, 46, 154, 21, 129)(10, 118, 24, 132, 54, 162, 25, 133)(13, 121, 31, 139, 64, 172, 32, 140)(14, 122, 33, 141, 67, 175, 34, 142)(15, 123, 35, 143, 69, 177, 36, 144)(17, 125, 39, 147, 75, 183, 40, 148)(18, 126, 41, 149, 76, 184, 42, 150)(19, 127, 43, 151, 78, 186, 44, 152)(22, 130, 49, 157, 86, 194, 50, 158)(23, 131, 51, 159, 89, 197, 52, 160)(26, 134, 45, 153, 80, 188, 57, 165)(28, 136, 60, 168, 98, 206, 61, 169)(29, 137, 56, 164, 88, 196, 62, 170)(30, 138, 48, 156, 84, 192, 63, 171)(37, 145, 70, 178, 102, 210, 71, 179)(38, 146, 72, 180, 103, 211, 73, 181)(47, 155, 82, 190, 104, 212, 83, 191)(53, 161, 85, 193, 65, 173, 91, 199)(55, 163, 90, 198, 66, 174, 94, 202)(58, 166, 95, 203, 105, 213, 96, 204)(59, 167, 93, 201, 107, 215, 97, 205)(68, 176, 87, 195, 106, 214, 101, 209)(74, 182, 81, 189, 77, 185, 100, 208)(79, 187, 99, 207, 108, 216, 92, 200)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 123)(7, 126)(8, 118)(9, 130)(10, 111)(11, 134)(12, 137)(13, 122)(14, 113)(15, 125)(16, 145)(17, 114)(18, 127)(19, 115)(20, 153)(21, 155)(22, 131)(23, 117)(24, 161)(25, 163)(26, 136)(27, 166)(28, 119)(29, 138)(30, 120)(31, 148)(32, 168)(33, 144)(34, 171)(35, 128)(36, 176)(37, 146)(38, 124)(39, 182)(40, 173)(41, 169)(42, 132)(43, 165)(44, 142)(45, 143)(46, 178)(47, 156)(48, 129)(49, 193)(50, 195)(51, 183)(52, 186)(53, 150)(54, 200)(55, 164)(56, 133)(57, 187)(58, 167)(59, 135)(60, 174)(61, 185)(62, 147)(63, 152)(64, 179)(65, 139)(66, 140)(67, 208)(68, 141)(69, 203)(70, 189)(71, 207)(72, 206)(73, 192)(74, 170)(75, 191)(76, 204)(77, 149)(78, 198)(79, 151)(80, 157)(81, 154)(82, 184)(83, 159)(84, 199)(85, 188)(86, 210)(87, 196)(88, 158)(89, 211)(90, 160)(91, 181)(92, 201)(93, 162)(94, 177)(95, 202)(96, 190)(97, 175)(98, 209)(99, 172)(100, 205)(101, 180)(102, 213)(103, 215)(104, 216)(105, 194)(106, 212)(107, 197)(108, 214)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1914
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 108 f = 45
	degree seq :: [ 8^27 ]

E19.1917 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2 * T1^-1)^2, T1^4, (F * T1)^2, (T1^-1 * T2^-1)^3, T2^-2 * T1 * T2^4 * T1^-1 * T2^-2, T2^2 * T1^-2 * T2 * T1 * T2^-2 * T1 * T2 * T1^-2, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 10, 118, 24, 132, 46, 154, 66, 174, 102, 210, 86, 194, 56, 164, 30, 138, 14, 122, 5, 113)(2, 110, 7, 115, 18, 126, 37, 145, 67, 175, 94, 202, 89, 197, 55, 163, 72, 180, 40, 148, 20, 128, 8, 116)(4, 112, 11, 119, 26, 134, 49, 157, 80, 188, 45, 153, 76, 184, 99, 207, 87, 195, 51, 159, 27, 135, 12, 120)(6, 114, 15, 123, 32, 140, 59, 167, 95, 203, 84, 192, 107, 215, 71, 179, 100, 208, 62, 170, 34, 142, 16, 124)(9, 117, 21, 129, 41, 149, 74, 182, 104, 212, 83, 191, 48, 156, 29, 137, 54, 162, 77, 185, 43, 151, 22, 130)(13, 121, 28, 136, 53, 161, 79, 187, 44, 152, 23, 131, 39, 147, 70, 178, 103, 211, 64, 172, 35, 143, 17, 125)(19, 127, 38, 146, 69, 177, 105, 213, 65, 173, 36, 144, 61, 169, 98, 206, 90, 198, 92, 200, 57, 165, 31, 139)(25, 133, 33, 141, 60, 168, 97, 205, 78, 186, 93, 201, 58, 166, 50, 158, 85, 193, 108, 216, 82, 190, 47, 155)(42, 150, 75, 183, 96, 204, 63, 171, 101, 209, 73, 181, 91, 199, 88, 196, 52, 160, 81, 189, 106, 214, 68, 176)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 119)(6, 112)(7, 125)(8, 111)(9, 127)(10, 131)(11, 133)(12, 123)(13, 113)(14, 136)(15, 139)(16, 115)(17, 141)(18, 144)(19, 116)(20, 146)(21, 120)(22, 118)(23, 150)(24, 153)(25, 121)(26, 156)(27, 149)(28, 160)(29, 122)(30, 162)(31, 129)(32, 166)(33, 124)(34, 168)(35, 126)(36, 171)(37, 174)(38, 176)(39, 128)(40, 178)(41, 181)(42, 130)(43, 183)(44, 132)(45, 186)(46, 175)(47, 134)(48, 189)(49, 192)(50, 135)(51, 193)(52, 137)(53, 197)(54, 198)(55, 138)(56, 180)(57, 140)(58, 199)(59, 202)(60, 204)(61, 142)(62, 206)(63, 143)(64, 209)(65, 145)(66, 212)(67, 203)(68, 147)(69, 215)(70, 216)(71, 148)(72, 208)(73, 158)(74, 210)(75, 205)(76, 151)(77, 207)(78, 152)(79, 201)(80, 154)(81, 155)(82, 214)(83, 157)(84, 213)(85, 211)(86, 159)(87, 164)(88, 161)(89, 200)(90, 163)(91, 165)(92, 196)(93, 167)(94, 187)(95, 188)(96, 169)(97, 184)(98, 185)(99, 170)(100, 195)(101, 182)(102, 172)(103, 194)(104, 173)(105, 191)(106, 177)(107, 190)(108, 179)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.1909
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 63
	degree seq :: [ 24^9 ]

E19.1918 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2 * T1^-1 * T2^-3, (T2 * T1)^3, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1, T1^-1 * T2^-1 * T1^-2 * T2^2 * T1^-1 * T2^2 * T1^-1, T2 * T1^-1 * T2^3 * T1^-1 * T2 * T1^-2 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 10, 118, 29, 137, 60, 168, 95, 203, 108, 216, 87, 195, 51, 159, 22, 130, 16, 124, 5, 113)(2, 110, 7, 115, 20, 128, 11, 119, 31, 139, 63, 171, 91, 199, 104, 212, 77, 185, 42, 150, 24, 132, 8, 116)(4, 112, 12, 120, 33, 141, 41, 149, 75, 183, 102, 210, 98, 206, 69, 177, 37, 145, 14, 122, 35, 143, 13, 121)(6, 114, 17, 125, 40, 148, 21, 129, 49, 157, 84, 192, 106, 214, 97, 205, 66, 174, 34, 142, 44, 152, 18, 126)(9, 117, 26, 134, 55, 163, 30, 138, 62, 170, 71, 179, 99, 207, 86, 194, 50, 158, 85, 193, 58, 166, 27, 135)(15, 123, 28, 136, 48, 156, 83, 191, 61, 169, 96, 204, 103, 211, 76, 184, 70, 178, 38, 146, 46, 154, 19, 127)(23, 131, 47, 155, 74, 182, 54, 162, 25, 133, 53, 161, 90, 198, 56, 164, 88, 196, 52, 160, 72, 180, 39, 147)(32, 140, 43, 151, 73, 181, 65, 173, 80, 188, 45, 153, 79, 187, 68, 176, 36, 144, 67, 175, 78, 186, 64, 172)(57, 165, 92, 200, 105, 213, 81, 189, 59, 167, 94, 202, 100, 208, 82, 190, 107, 215, 93, 201, 101, 209, 89, 197)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 122)(6, 112)(7, 127)(8, 130)(9, 133)(10, 136)(11, 111)(12, 140)(13, 142)(14, 144)(15, 113)(16, 146)(17, 147)(18, 150)(19, 153)(20, 155)(21, 115)(22, 158)(23, 116)(24, 160)(25, 119)(26, 121)(27, 124)(28, 167)(29, 120)(30, 118)(31, 157)(32, 169)(33, 163)(34, 164)(35, 166)(36, 123)(37, 159)(38, 165)(39, 179)(40, 181)(41, 125)(42, 184)(43, 126)(44, 186)(45, 129)(46, 132)(47, 190)(48, 128)(49, 183)(50, 131)(51, 185)(52, 189)(53, 197)(54, 193)(55, 200)(56, 134)(57, 135)(58, 201)(59, 138)(60, 139)(61, 137)(62, 196)(63, 191)(64, 143)(65, 141)(66, 145)(67, 205)(68, 206)(69, 192)(70, 195)(71, 149)(72, 152)(73, 209)(74, 148)(75, 168)(76, 151)(77, 174)(78, 208)(79, 213)(80, 178)(81, 154)(82, 156)(83, 175)(84, 162)(85, 177)(86, 216)(87, 210)(88, 212)(89, 211)(90, 214)(91, 161)(92, 173)(93, 172)(94, 176)(95, 170)(96, 215)(97, 171)(98, 207)(99, 202)(100, 180)(101, 182)(102, 188)(103, 199)(104, 203)(105, 198)(106, 187)(107, 194)(108, 204)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.1910
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 63
	degree seq :: [ 24^9 ]

E19.1919 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1)^2, T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1, T1^-2 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-3 * T2^-1 * T1^4 * T2 * T1^-1, T1^-1 * T2 * T1^-2 * T2 * T1^-5, T2 * T1^-2 * T2 * T1 * T2^-1 * T1^2 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 5, 113)(2, 110, 7, 115, 8, 116)(4, 112, 11, 119, 13, 121)(6, 114, 17, 125, 18, 126)(9, 117, 24, 132, 25, 133)(10, 118, 26, 134, 28, 136)(12, 120, 31, 139, 23, 131)(14, 122, 35, 143, 36, 144)(15, 123, 37, 145, 38, 146)(16, 124, 40, 148, 41, 149)(19, 127, 45, 153, 46, 154)(20, 128, 47, 155, 49, 157)(21, 129, 51, 159, 52, 160)(22, 130, 53, 161, 54, 162)(27, 135, 61, 169, 34, 142)(29, 137, 58, 166, 65, 173)(30, 138, 66, 174, 57, 165)(32, 140, 70, 178, 64, 172)(33, 141, 56, 164, 73, 181)(39, 147, 79, 187, 80, 188)(42, 150, 84, 192, 86, 194)(43, 151, 88, 196, 89, 197)(44, 152, 90, 198, 91, 199)(48, 156, 94, 202, 50, 158)(55, 163, 99, 207, 93, 201)(59, 167, 77, 185, 97, 205)(60, 168, 81, 189, 76, 184)(62, 170, 92, 200, 100, 208)(63, 171, 75, 183, 82, 190)(67, 175, 78, 186, 72, 180)(68, 176, 101, 209, 103, 211)(69, 177, 96, 204, 98, 206)(71, 179, 87, 195, 85, 193)(74, 182, 102, 210, 104, 212)(83, 191, 105, 213, 106, 214)(95, 203, 107, 215, 108, 216)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 122)(6, 124)(7, 127)(8, 129)(9, 131)(10, 111)(11, 137)(12, 112)(13, 141)(14, 142)(15, 113)(16, 147)(17, 123)(18, 151)(19, 121)(20, 115)(21, 158)(22, 116)(23, 163)(24, 154)(25, 165)(26, 167)(27, 118)(28, 171)(29, 172)(30, 119)(31, 176)(32, 120)(33, 180)(34, 182)(35, 153)(36, 184)(37, 162)(38, 157)(39, 186)(40, 130)(41, 190)(42, 125)(43, 195)(44, 126)(45, 146)(46, 136)(47, 200)(48, 128)(49, 204)(50, 205)(51, 145)(52, 207)(53, 199)(54, 194)(55, 187)(56, 132)(57, 196)(58, 133)(59, 208)(60, 134)(61, 202)(62, 135)(63, 198)(64, 189)(65, 206)(66, 210)(67, 138)(68, 193)(69, 139)(70, 203)(71, 140)(72, 191)(73, 192)(74, 188)(75, 143)(76, 209)(77, 144)(78, 169)(79, 152)(80, 177)(81, 148)(82, 178)(83, 149)(84, 215)(85, 150)(86, 174)(87, 170)(88, 161)(89, 164)(90, 214)(91, 168)(92, 216)(93, 155)(94, 179)(95, 156)(96, 213)(97, 175)(98, 159)(99, 166)(100, 160)(101, 173)(102, 185)(103, 183)(104, 181)(105, 212)(106, 201)(107, 211)(108, 197)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1911
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 6^36 ]

E19.1920 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, (T1 * T2^-1)^4, (T2^-1 * T1^-1)^4, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 5, 113)(2, 110, 7, 115, 8, 116)(4, 112, 11, 119, 13, 121)(6, 114, 17, 125, 18, 126)(9, 117, 23, 131, 24, 132)(10, 118, 25, 133, 27, 135)(12, 120, 29, 137, 26, 134)(14, 122, 32, 140, 33, 141)(15, 123, 34, 142, 35, 143)(16, 124, 37, 145, 38, 146)(19, 127, 41, 149, 42, 150)(20, 128, 43, 151, 44, 152)(21, 129, 45, 153, 46, 154)(22, 130, 47, 155, 48, 156)(28, 136, 55, 163, 57, 165)(30, 138, 59, 167, 56, 164)(31, 139, 61, 169, 49, 157)(36, 144, 67, 175, 68, 176)(39, 147, 71, 179, 72, 180)(40, 148, 73, 181, 74, 182)(50, 158, 83, 191, 84, 192)(51, 159, 85, 193, 65, 173)(52, 160, 86, 194, 69, 177)(53, 161, 87, 195, 81, 189)(54, 162, 89, 197, 62, 170)(58, 166, 75, 183, 93, 201)(60, 168, 88, 196, 92, 200)(63, 171, 70, 178, 96, 204)(64, 172, 90, 198, 97, 205)(66, 174, 99, 207, 100, 208)(76, 184, 103, 211, 82, 190)(77, 185, 91, 199, 101, 209)(78, 186, 104, 212, 79, 187)(80, 188, 102, 210, 95, 203)(94, 202, 106, 214, 105, 213)(98, 206, 107, 215, 108, 216)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 122)(6, 124)(7, 127)(8, 129)(9, 126)(10, 111)(11, 130)(12, 112)(13, 128)(14, 125)(15, 113)(16, 144)(17, 147)(18, 148)(19, 146)(20, 115)(21, 145)(22, 116)(23, 157)(24, 159)(25, 160)(26, 118)(27, 158)(28, 119)(29, 123)(30, 120)(31, 121)(32, 170)(33, 163)(34, 172)(35, 171)(36, 174)(37, 177)(38, 178)(39, 176)(40, 175)(41, 143)(42, 184)(43, 185)(44, 183)(45, 187)(46, 133)(47, 189)(48, 188)(49, 182)(50, 131)(51, 181)(52, 132)(53, 134)(54, 135)(55, 179)(56, 136)(57, 190)(58, 137)(59, 139)(60, 138)(61, 186)(62, 180)(63, 140)(64, 141)(65, 142)(66, 206)(67, 209)(68, 210)(69, 208)(70, 207)(71, 156)(72, 191)(73, 205)(74, 151)(75, 149)(76, 204)(77, 150)(78, 152)(79, 194)(80, 153)(81, 154)(82, 155)(83, 203)(84, 167)(85, 214)(86, 201)(87, 162)(88, 161)(89, 213)(90, 164)(91, 165)(92, 166)(93, 173)(94, 168)(95, 169)(96, 195)(97, 199)(98, 202)(99, 197)(100, 193)(101, 216)(102, 215)(103, 196)(104, 200)(105, 192)(106, 198)(107, 212)(108, 211)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1912
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 6^36 ]

E19.1921 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^2 * Y3^-1, Y2^4, Y1 * R * Y3^-1 * R, Y2^4, R * Y2^-1 * Y1 * R * Y2^-1 * Y3^-1, Y2 * Y1^-1 * Y2^2 * Y3 * Y2, Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1, R * Y2 * Y1 * R * Y2 * Y3^-1, Y2^-1 * R * Y2^-1 * R * Y3 * Y2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3, Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * R * Y2^-1 * R * Y2^-1 * Y1^-1 * Y2^-1 * Y3, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y2 * Y1 * Y2)^6 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 15, 123, 17, 125)(7, 115, 18, 126, 19, 127)(9, 117, 22, 130, 16, 124)(11, 119, 25, 133, 26, 134)(12, 120, 27, 135, 28, 136)(20, 128, 33, 141, 34, 142)(21, 129, 35, 143, 36, 144)(23, 131, 37, 145, 38, 146)(24, 132, 39, 147, 40, 148)(29, 137, 45, 153, 46, 154)(30, 138, 47, 155, 48, 156)(31, 139, 49, 157, 50, 158)(32, 140, 51, 159, 52, 160)(41, 149, 61, 169, 62, 170)(42, 150, 63, 171, 64, 172)(43, 151, 65, 173, 66, 174)(44, 152, 67, 175, 68, 176)(53, 161, 77, 185, 75, 183)(54, 162, 76, 184, 78, 186)(55, 163, 79, 187, 80, 188)(56, 164, 81, 189, 82, 190)(57, 165, 71, 179, 83, 191)(58, 166, 84, 192, 72, 180)(59, 167, 85, 193, 86, 194)(60, 168, 87, 195, 88, 196)(69, 177, 93, 201, 91, 199)(70, 178, 92, 200, 94, 202)(73, 181, 89, 197, 95, 203)(74, 182, 96, 204, 90, 198)(97, 205, 105, 213, 103, 211)(98, 206, 104, 212, 106, 214)(99, 207, 101, 209, 107, 215)(100, 208, 108, 216, 102, 210)(217, 325, 219, 327, 225, 333, 221, 329)(218, 326, 222, 330, 232, 340, 223, 331)(220, 328, 227, 335, 238, 346, 228, 336)(224, 332, 236, 344, 230, 338, 237, 345)(226, 334, 239, 347, 229, 337, 240, 348)(231, 339, 245, 353, 235, 343, 246, 354)(233, 341, 247, 355, 234, 342, 248, 356)(241, 349, 257, 365, 244, 352, 258, 366)(242, 350, 259, 367, 243, 351, 260, 368)(249, 357, 269, 377, 252, 360, 270, 378)(250, 358, 271, 379, 251, 359, 272, 380)(253, 361, 273, 381, 256, 364, 274, 382)(254, 362, 275, 383, 255, 363, 276, 384)(261, 369, 285, 393, 264, 372, 286, 394)(262, 370, 287, 395, 263, 371, 288, 396)(265, 373, 289, 397, 268, 376, 290, 398)(266, 374, 291, 399, 267, 375, 292, 400)(277, 385, 301, 409, 280, 388, 304, 412)(278, 386, 305, 413, 279, 387, 306, 414)(281, 389, 296, 404, 284, 392, 297, 405)(282, 390, 307, 415, 283, 391, 308, 416)(293, 401, 313, 421, 294, 402, 314, 422)(295, 403, 315, 423, 298, 406, 316, 424)(299, 407, 317, 425, 300, 408, 318, 426)(302, 410, 319, 427, 303, 411, 320, 428)(309, 417, 321, 429, 310, 418, 322, 430)(311, 419, 323, 431, 312, 420, 324, 432)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 233)(7, 235)(8, 219)(9, 232)(10, 224)(11, 242)(12, 244)(13, 221)(14, 229)(15, 222)(16, 238)(17, 231)(18, 223)(19, 234)(20, 250)(21, 252)(22, 225)(23, 254)(24, 256)(25, 227)(26, 241)(27, 228)(28, 243)(29, 262)(30, 264)(31, 266)(32, 268)(33, 236)(34, 249)(35, 237)(36, 251)(37, 239)(38, 253)(39, 240)(40, 255)(41, 278)(42, 280)(43, 282)(44, 284)(45, 245)(46, 261)(47, 246)(48, 263)(49, 247)(50, 265)(51, 248)(52, 267)(53, 291)(54, 294)(55, 296)(56, 298)(57, 299)(58, 288)(59, 302)(60, 304)(61, 257)(62, 277)(63, 258)(64, 279)(65, 259)(66, 281)(67, 260)(68, 283)(69, 307)(70, 310)(71, 273)(72, 300)(73, 311)(74, 306)(75, 293)(76, 270)(77, 269)(78, 292)(79, 271)(80, 295)(81, 272)(82, 297)(83, 287)(84, 274)(85, 275)(86, 301)(87, 276)(88, 303)(89, 289)(90, 312)(91, 309)(92, 286)(93, 285)(94, 308)(95, 305)(96, 290)(97, 319)(98, 322)(99, 323)(100, 318)(101, 315)(102, 324)(103, 321)(104, 314)(105, 313)(106, 320)(107, 317)(108, 316)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1927
Graph:: bipartite
	v = 63 e = 216 f = 117
	degree seq :: [ 6^36, 8^27 ]

E19.1922 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^-1 * Y3^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1, Y3 * Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2^-2 * Y1^-1 * Y2^-2, Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 15, 123, 17, 125)(7, 115, 18, 126, 19, 127)(9, 117, 22, 130, 23, 131)(11, 119, 26, 134, 28, 136)(12, 120, 29, 137, 30, 138)(16, 124, 37, 145, 38, 146)(20, 128, 45, 153, 35, 143)(21, 129, 47, 155, 48, 156)(24, 132, 53, 161, 42, 150)(25, 133, 55, 163, 56, 164)(27, 135, 58, 166, 59, 167)(31, 139, 40, 148, 65, 173)(32, 140, 60, 168, 66, 174)(33, 141, 36, 144, 68, 176)(34, 142, 63, 171, 44, 152)(39, 147, 74, 182, 62, 170)(41, 149, 61, 169, 77, 185)(43, 151, 57, 165, 79, 187)(46, 154, 70, 178, 81, 189)(49, 157, 85, 193, 80, 188)(50, 158, 87, 195, 88, 196)(51, 159, 75, 183, 83, 191)(52, 160, 78, 186, 90, 198)(54, 162, 92, 200, 93, 201)(64, 172, 71, 179, 99, 207)(67, 175, 100, 208, 97, 205)(69, 177, 95, 203, 94, 202)(72, 180, 98, 206, 101, 209)(73, 181, 84, 192, 91, 199)(76, 184, 96, 204, 82, 190)(86, 194, 102, 210, 105, 213)(89, 197, 103, 211, 107, 215)(104, 212, 108, 216, 106, 214)(217, 325, 219, 327, 225, 333, 221, 329)(218, 326, 222, 330, 232, 340, 223, 331)(220, 328, 227, 335, 243, 351, 228, 336)(224, 332, 236, 344, 262, 370, 237, 345)(226, 334, 240, 348, 270, 378, 241, 349)(229, 337, 247, 355, 280, 388, 248, 356)(230, 338, 249, 357, 283, 391, 250, 358)(231, 339, 251, 359, 285, 393, 252, 360)(233, 341, 255, 363, 291, 399, 256, 364)(234, 342, 257, 365, 292, 400, 258, 366)(235, 343, 259, 367, 294, 402, 260, 368)(238, 346, 265, 373, 302, 410, 266, 374)(239, 347, 267, 375, 305, 413, 268, 376)(242, 350, 261, 369, 296, 404, 273, 381)(244, 352, 276, 384, 314, 422, 277, 385)(245, 353, 272, 380, 304, 412, 278, 386)(246, 354, 264, 372, 300, 408, 279, 387)(253, 361, 286, 394, 318, 426, 287, 395)(254, 362, 288, 396, 319, 427, 289, 397)(263, 371, 298, 406, 320, 428, 299, 407)(269, 377, 301, 409, 281, 389, 307, 415)(271, 379, 306, 414, 282, 390, 310, 418)(274, 382, 311, 419, 321, 429, 312, 420)(275, 383, 309, 417, 323, 431, 313, 421)(284, 392, 303, 411, 322, 430, 317, 425)(290, 398, 297, 405, 293, 401, 316, 424)(295, 403, 315, 423, 324, 432, 308, 416)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 233)(7, 235)(8, 219)(9, 239)(10, 224)(11, 244)(12, 246)(13, 221)(14, 229)(15, 222)(16, 254)(17, 231)(18, 223)(19, 234)(20, 251)(21, 264)(22, 225)(23, 238)(24, 258)(25, 272)(26, 227)(27, 275)(28, 242)(29, 228)(30, 245)(31, 281)(32, 282)(33, 284)(34, 260)(35, 261)(36, 249)(37, 232)(38, 253)(39, 278)(40, 247)(41, 293)(42, 269)(43, 295)(44, 279)(45, 236)(46, 297)(47, 237)(48, 263)(49, 296)(50, 304)(51, 299)(52, 306)(53, 240)(54, 309)(55, 241)(56, 271)(57, 259)(58, 243)(59, 274)(60, 248)(61, 257)(62, 290)(63, 250)(64, 315)(65, 256)(66, 276)(67, 313)(68, 252)(69, 310)(70, 262)(71, 280)(72, 317)(73, 307)(74, 255)(75, 267)(76, 298)(77, 277)(78, 268)(79, 273)(80, 301)(81, 286)(82, 312)(83, 291)(84, 289)(85, 265)(86, 321)(87, 266)(88, 303)(89, 323)(90, 294)(91, 300)(92, 270)(93, 308)(94, 311)(95, 285)(96, 292)(97, 316)(98, 288)(99, 287)(100, 283)(101, 314)(102, 302)(103, 305)(104, 322)(105, 318)(106, 324)(107, 319)(108, 320)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1928
Graph:: bipartite
	v = 63 e = 216 f = 117
	degree seq :: [ 6^36, 8^27 ]

E19.1923 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, Y1^4, Y2^3 * Y1 * Y2^-1 * Y1, (Y2^-1 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y1, Y2 * Y1^2 * Y2^-2 * Y1 * Y2^-2 * Y1^2, (Y1^-1 * Y2 * Y1^-1)^4 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 25, 133, 11, 119)(5, 113, 14, 122, 36, 144, 15, 123)(7, 115, 19, 127, 45, 153, 21, 129)(8, 116, 22, 130, 50, 158, 23, 131)(10, 118, 28, 136, 59, 167, 30, 138)(12, 120, 32, 140, 61, 169, 29, 137)(13, 121, 34, 142, 56, 164, 26, 134)(16, 124, 38, 146, 57, 165, 27, 135)(17, 125, 39, 147, 71, 179, 41, 149)(18, 126, 42, 150, 76, 184, 43, 151)(20, 128, 47, 155, 82, 190, 48, 156)(24, 132, 52, 160, 81, 189, 46, 154)(31, 139, 49, 157, 75, 183, 60, 168)(33, 141, 55, 163, 92, 200, 65, 173)(35, 143, 58, 166, 93, 201, 64, 172)(37, 145, 51, 159, 77, 185, 66, 174)(40, 148, 73, 181, 101, 209, 74, 182)(44, 152, 78, 186, 100, 208, 72, 180)(53, 161, 89, 197, 103, 211, 91, 199)(54, 162, 85, 193, 69, 177, 84, 192)(62, 170, 88, 196, 104, 212, 95, 203)(63, 171, 83, 191, 67, 175, 97, 205)(68, 176, 98, 206, 99, 207, 94, 202)(70, 178, 87, 195, 102, 210, 80, 188)(79, 187, 105, 213, 90, 198, 106, 214)(86, 194, 108, 216, 96, 204, 107, 215)(217, 325, 219, 327, 226, 334, 245, 353, 276, 384, 311, 419, 324, 432, 303, 411, 267, 375, 238, 346, 232, 340, 221, 329)(218, 326, 223, 331, 236, 344, 227, 335, 247, 355, 279, 387, 307, 415, 320, 428, 293, 401, 258, 366, 240, 348, 224, 332)(220, 328, 228, 336, 249, 357, 257, 365, 291, 399, 318, 426, 314, 422, 285, 393, 253, 361, 230, 338, 251, 359, 229, 337)(222, 330, 233, 341, 256, 364, 237, 345, 265, 373, 300, 408, 322, 430, 313, 421, 282, 390, 250, 358, 260, 368, 234, 342)(225, 333, 242, 350, 271, 379, 246, 354, 278, 386, 287, 395, 315, 423, 302, 410, 266, 374, 301, 409, 274, 382, 243, 351)(231, 339, 244, 352, 264, 372, 299, 407, 277, 385, 312, 420, 319, 427, 292, 400, 286, 394, 254, 362, 262, 370, 235, 343)(239, 347, 263, 371, 290, 398, 270, 378, 241, 349, 269, 377, 306, 414, 272, 380, 304, 412, 268, 376, 288, 396, 255, 363)(248, 356, 259, 367, 289, 397, 281, 389, 296, 404, 261, 369, 295, 403, 284, 392, 252, 360, 283, 391, 294, 402, 280, 388)(273, 381, 308, 416, 321, 429, 297, 405, 275, 383, 310, 418, 316, 424, 298, 406, 323, 431, 309, 417, 317, 425, 305, 413)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 236)(8, 218)(9, 242)(10, 245)(11, 247)(12, 249)(13, 220)(14, 251)(15, 244)(16, 221)(17, 256)(18, 222)(19, 231)(20, 227)(21, 265)(22, 232)(23, 263)(24, 224)(25, 269)(26, 271)(27, 225)(28, 264)(29, 276)(30, 278)(31, 279)(32, 259)(33, 257)(34, 260)(35, 229)(36, 283)(37, 230)(38, 262)(39, 239)(40, 237)(41, 291)(42, 240)(43, 289)(44, 234)(45, 295)(46, 235)(47, 290)(48, 299)(49, 300)(50, 301)(51, 238)(52, 288)(53, 306)(54, 241)(55, 246)(56, 304)(57, 308)(58, 243)(59, 310)(60, 311)(61, 312)(62, 287)(63, 307)(64, 248)(65, 296)(66, 250)(67, 294)(68, 252)(69, 253)(70, 254)(71, 315)(72, 255)(73, 281)(74, 270)(75, 318)(76, 286)(77, 258)(78, 280)(79, 284)(80, 261)(81, 275)(82, 323)(83, 277)(84, 322)(85, 274)(86, 266)(87, 267)(88, 268)(89, 273)(90, 272)(91, 320)(92, 321)(93, 317)(94, 316)(95, 324)(96, 319)(97, 282)(98, 285)(99, 302)(100, 298)(101, 305)(102, 314)(103, 292)(104, 293)(105, 297)(106, 313)(107, 309)(108, 303)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ), ( 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 E19.1926
Graph:: bipartite
	v = 36 e = 216 f = 144
	degree seq :: [ 8^27, 24^9 ]

E19.1924 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^3, (Y1^-1 * Y2^-1)^3, Y2^5 * Y1^-1 * Y2^-3 * Y1^-1, Y2^2 * Y1^-2 * Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1^-2, Y1 * Y2^3 * Y1^2 * Y2^3 * Y1 * Y2^2 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 19, 127, 8, 116)(5, 113, 11, 119, 25, 133, 13, 121)(7, 115, 17, 125, 33, 141, 16, 124)(10, 118, 23, 131, 42, 150, 22, 130)(12, 120, 15, 123, 31, 139, 21, 129)(14, 122, 28, 136, 52, 160, 29, 137)(18, 126, 36, 144, 63, 171, 35, 143)(20, 128, 38, 146, 68, 176, 39, 147)(24, 132, 45, 153, 78, 186, 44, 152)(26, 134, 48, 156, 81, 189, 47, 155)(27, 135, 41, 149, 73, 181, 50, 158)(30, 138, 54, 162, 90, 198, 55, 163)(32, 140, 58, 166, 91, 199, 57, 165)(34, 142, 60, 168, 96, 204, 61, 169)(37, 145, 66, 174, 104, 212, 65, 173)(40, 148, 70, 178, 108, 216, 71, 179)(43, 151, 75, 183, 97, 205, 76, 184)(46, 154, 67, 175, 95, 203, 80, 188)(49, 157, 84, 192, 105, 213, 83, 191)(51, 159, 85, 193, 103, 211, 86, 194)(53, 161, 89, 197, 92, 200, 88, 196)(56, 164, 72, 180, 100, 208, 87, 195)(59, 167, 94, 202, 79, 187, 93, 201)(62, 170, 98, 206, 77, 185, 99, 207)(64, 172, 101, 209, 74, 182, 102, 210)(69, 177, 107, 215, 82, 190, 106, 214)(217, 325, 219, 327, 226, 334, 240, 348, 262, 370, 282, 390, 318, 426, 302, 410, 272, 380, 246, 354, 230, 338, 221, 329)(218, 326, 223, 331, 234, 342, 253, 361, 283, 391, 310, 418, 305, 413, 271, 379, 288, 396, 256, 364, 236, 344, 224, 332)(220, 328, 227, 335, 242, 350, 265, 373, 296, 404, 261, 369, 292, 400, 315, 423, 303, 411, 267, 375, 243, 351, 228, 336)(222, 330, 231, 339, 248, 356, 275, 383, 311, 419, 300, 408, 323, 431, 287, 395, 316, 424, 278, 386, 250, 358, 232, 340)(225, 333, 237, 345, 257, 365, 290, 398, 320, 428, 299, 407, 264, 372, 245, 353, 270, 378, 293, 401, 259, 367, 238, 346)(229, 337, 244, 352, 269, 377, 295, 403, 260, 368, 239, 347, 255, 363, 286, 394, 319, 427, 280, 388, 251, 359, 233, 341)(235, 343, 254, 362, 285, 393, 321, 429, 281, 389, 252, 360, 277, 385, 314, 422, 306, 414, 308, 416, 273, 381, 247, 355)(241, 349, 249, 357, 276, 384, 313, 421, 294, 402, 309, 417, 274, 382, 266, 374, 301, 409, 324, 432, 298, 406, 263, 371)(258, 366, 291, 399, 312, 420, 279, 387, 317, 425, 289, 397, 307, 415, 304, 412, 268, 376, 297, 405, 322, 430, 284, 392)
	L = (1, 219)(2, 223)(3, 226)(4, 227)(5, 217)(6, 231)(7, 234)(8, 218)(9, 237)(10, 240)(11, 242)(12, 220)(13, 244)(14, 221)(15, 248)(16, 222)(17, 229)(18, 253)(19, 254)(20, 224)(21, 257)(22, 225)(23, 255)(24, 262)(25, 249)(26, 265)(27, 228)(28, 269)(29, 270)(30, 230)(31, 235)(32, 275)(33, 276)(34, 232)(35, 233)(36, 277)(37, 283)(38, 285)(39, 286)(40, 236)(41, 290)(42, 291)(43, 238)(44, 239)(45, 292)(46, 282)(47, 241)(48, 245)(49, 296)(50, 301)(51, 243)(52, 297)(53, 295)(54, 293)(55, 288)(56, 246)(57, 247)(58, 266)(59, 311)(60, 313)(61, 314)(62, 250)(63, 317)(64, 251)(65, 252)(66, 318)(67, 310)(68, 258)(69, 321)(70, 319)(71, 316)(72, 256)(73, 307)(74, 320)(75, 312)(76, 315)(77, 259)(78, 309)(79, 260)(80, 261)(81, 322)(82, 263)(83, 264)(84, 323)(85, 324)(86, 272)(87, 267)(88, 268)(89, 271)(90, 308)(91, 304)(92, 273)(93, 274)(94, 305)(95, 300)(96, 279)(97, 294)(98, 306)(99, 303)(100, 278)(101, 289)(102, 302)(103, 280)(104, 299)(105, 281)(106, 284)(107, 287)(108, 298)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ), ( 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 E19.1925
Graph:: bipartite
	v = 36 e = 216 f = 144
	degree seq :: [ 8^27, 24^9 ]

E19.1925 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3^2 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-4, Y2^-1 * Y3^3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 220, 328)(219, 327, 224, 332, 226, 334)(221, 329, 229, 337, 230, 338)(222, 330, 232, 340, 234, 342)(223, 331, 235, 343, 236, 344)(225, 333, 240, 348, 237, 345)(227, 335, 244, 352, 246, 354)(228, 336, 247, 355, 248, 356)(231, 339, 245, 353, 253, 361)(233, 341, 257, 365, 249, 357)(238, 346, 265, 373, 263, 371)(239, 347, 262, 370, 267, 375)(241, 349, 271, 379, 268, 376)(242, 350, 273, 381, 259, 367)(243, 351, 261, 369, 274, 382)(250, 358, 284, 392, 279, 387)(251, 359, 286, 394, 277, 385)(252, 360, 276, 384, 288, 396)(254, 362, 287, 395, 292, 400)(255, 363, 294, 402, 282, 390)(256, 364, 281, 389, 296, 404)(258, 366, 300, 408, 297, 405)(260, 368, 280, 388, 302, 410)(264, 372, 305, 413, 307, 415)(266, 374, 298, 406, 275, 383)(269, 377, 313, 421, 312, 420)(270, 378, 311, 419, 315, 423)(272, 380, 301, 409, 316, 424)(278, 386, 319, 427, 309, 417)(283, 391, 310, 418, 318, 426)(285, 393, 299, 407, 289, 397)(290, 398, 303, 411, 295, 403)(291, 399, 306, 414, 304, 412)(293, 401, 308, 416, 314, 422)(317, 425, 324, 432, 321, 429)(320, 428, 323, 431, 322, 430)
	L = (1, 219)(2, 222)(3, 225)(4, 227)(5, 217)(6, 233)(7, 218)(8, 238)(9, 241)(10, 242)(11, 245)(12, 220)(13, 250)(14, 251)(15, 221)(16, 255)(17, 258)(18, 259)(19, 261)(20, 262)(21, 223)(22, 266)(23, 224)(24, 269)(25, 272)(26, 229)(27, 226)(28, 276)(29, 278)(30, 273)(31, 280)(32, 281)(33, 228)(34, 285)(35, 287)(36, 230)(37, 290)(38, 231)(39, 295)(40, 232)(41, 298)(42, 301)(43, 235)(44, 234)(45, 304)(46, 305)(47, 236)(48, 237)(49, 309)(50, 296)(51, 311)(52, 239)(53, 314)(54, 240)(55, 302)(56, 299)(57, 247)(58, 318)(59, 243)(60, 312)(61, 244)(62, 316)(63, 246)(64, 315)(65, 310)(66, 248)(67, 249)(68, 307)(69, 317)(70, 306)(71, 294)(72, 297)(73, 252)(74, 308)(75, 253)(76, 320)(77, 254)(78, 268)(79, 286)(80, 289)(81, 256)(82, 293)(83, 257)(84, 284)(85, 291)(86, 292)(87, 260)(88, 321)(89, 288)(90, 263)(91, 322)(92, 264)(93, 277)(94, 265)(95, 282)(96, 267)(97, 279)(98, 283)(99, 324)(100, 270)(101, 271)(102, 323)(103, 274)(104, 275)(105, 300)(106, 303)(107, 313)(108, 319)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1924
Graph:: simple bipartite
	v = 144 e = 216 f = 36
	degree seq :: [ 2^108, 6^36 ]

E19.1926 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1, (Y3^-1 * Y2^-1)^4, (Y3^-1 * Y2)^4, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 220, 328)(219, 327, 224, 332, 226, 334)(221, 329, 229, 337, 230, 338)(222, 330, 232, 340, 234, 342)(223, 331, 235, 343, 236, 344)(225, 333, 240, 348, 233, 341)(227, 335, 244, 352, 245, 353)(228, 336, 246, 354, 247, 355)(231, 339, 248, 356, 237, 345)(238, 346, 260, 368, 262, 370)(239, 347, 263, 371, 264, 372)(241, 349, 266, 374, 261, 369)(242, 350, 268, 376, 257, 365)(243, 351, 269, 377, 270, 378)(249, 357, 273, 381, 277, 385)(250, 358, 279, 387, 252, 360)(251, 359, 280, 388, 278, 386)(253, 361, 283, 391, 284, 392)(254, 362, 285, 393, 282, 390)(255, 363, 287, 395, 275, 383)(256, 364, 288, 396, 289, 397)(258, 366, 291, 399, 271, 379)(259, 367, 292, 400, 290, 398)(265, 373, 299, 407, 301, 409)(267, 375, 286, 394, 300, 408)(272, 380, 295, 403, 306, 414)(274, 382, 307, 415, 308, 416)(276, 384, 294, 402, 309, 417)(281, 389, 293, 401, 310, 418)(296, 404, 319, 427, 305, 413)(297, 405, 311, 419, 315, 423)(298, 406, 320, 428, 303, 411)(302, 410, 318, 426, 317, 425)(304, 412, 321, 429, 312, 420)(313, 421, 316, 424, 314, 422)(322, 430, 324, 432, 323, 431)
	L = (1, 219)(2, 222)(3, 225)(4, 227)(5, 217)(6, 233)(7, 218)(8, 238)(9, 241)(10, 242)(11, 240)(12, 220)(13, 243)(14, 239)(15, 221)(16, 252)(17, 254)(18, 255)(19, 256)(20, 253)(21, 223)(22, 261)(23, 224)(24, 265)(25, 267)(26, 266)(27, 226)(28, 271)(29, 273)(30, 274)(31, 272)(32, 228)(33, 229)(34, 230)(35, 231)(36, 282)(37, 232)(38, 286)(39, 285)(40, 234)(41, 235)(42, 236)(43, 237)(44, 247)(45, 295)(46, 296)(47, 297)(48, 294)(49, 300)(50, 289)(51, 302)(52, 303)(53, 290)(54, 304)(55, 301)(56, 244)(57, 299)(58, 245)(59, 246)(60, 248)(61, 305)(62, 249)(63, 298)(64, 250)(65, 251)(66, 263)(67, 312)(68, 280)(69, 308)(70, 315)(71, 316)(72, 309)(73, 317)(74, 257)(75, 314)(76, 258)(77, 259)(78, 260)(79, 318)(80, 306)(81, 262)(82, 264)(83, 270)(84, 321)(85, 283)(86, 322)(87, 288)(88, 268)(89, 269)(90, 292)(91, 278)(92, 311)(93, 275)(94, 276)(95, 277)(96, 279)(97, 281)(98, 284)(99, 323)(100, 307)(101, 287)(102, 291)(103, 293)(104, 310)(105, 324)(106, 313)(107, 319)(108, 320)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1923
Graph:: simple bipartite
	v = 144 e = 216 f = 36
	degree seq :: [ 2^108, 6^36 ]

E19.1927 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y1^2 * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1 * Y1^-1)^2, (Y3 * Y2^-1)^3, (Y3 * Y1^-2 * Y3)^2, (Y3 * Y1 * Y3^-1 * Y1)^2, Y3 * Y1^6 * Y3 * Y1^-2, Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal
	R = (1, 109, 2, 110, 6, 114, 16, 124, 39, 147, 78, 186, 61, 169, 94, 202, 71, 179, 32, 140, 12, 120, 4, 112)(3, 111, 9, 117, 23, 131, 55, 163, 79, 187, 44, 152, 18, 126, 43, 151, 87, 195, 62, 170, 27, 135, 10, 118)(5, 113, 14, 122, 34, 142, 74, 182, 80, 188, 69, 177, 31, 139, 68, 176, 85, 193, 42, 150, 17, 125, 15, 123)(7, 115, 19, 127, 13, 121, 33, 141, 72, 180, 83, 191, 41, 149, 82, 190, 70, 178, 95, 203, 48, 156, 20, 128)(8, 116, 21, 129, 50, 158, 97, 205, 67, 175, 30, 138, 11, 119, 29, 137, 64, 172, 81, 189, 40, 148, 22, 130)(24, 132, 46, 154, 28, 136, 63, 171, 90, 198, 106, 214, 93, 201, 47, 155, 92, 200, 108, 216, 89, 197, 56, 164)(25, 133, 57, 165, 88, 196, 53, 161, 91, 199, 60, 168, 26, 134, 59, 167, 100, 208, 52, 160, 99, 207, 58, 166)(35, 143, 45, 153, 38, 146, 49, 157, 96, 204, 105, 213, 104, 212, 73, 181, 84, 192, 107, 215, 103, 211, 75, 183)(36, 144, 76, 184, 101, 209, 65, 173, 98, 206, 51, 159, 37, 145, 54, 162, 86, 194, 66, 174, 102, 210, 77, 185)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 233)(7, 224)(8, 218)(9, 240)(10, 242)(11, 229)(12, 247)(13, 220)(14, 251)(15, 253)(16, 256)(17, 234)(18, 222)(19, 261)(20, 263)(21, 267)(22, 269)(23, 228)(24, 241)(25, 225)(26, 244)(27, 277)(28, 226)(29, 274)(30, 282)(31, 239)(32, 286)(33, 272)(34, 243)(35, 252)(36, 230)(37, 254)(38, 231)(39, 295)(40, 257)(41, 232)(42, 300)(43, 304)(44, 306)(45, 262)(46, 235)(47, 265)(48, 310)(49, 236)(50, 264)(51, 268)(52, 237)(53, 270)(54, 238)(55, 315)(56, 289)(57, 246)(58, 281)(59, 293)(60, 297)(61, 250)(62, 308)(63, 291)(64, 248)(65, 245)(66, 273)(67, 294)(68, 317)(69, 312)(70, 280)(71, 303)(72, 283)(73, 249)(74, 318)(75, 298)(76, 276)(77, 313)(78, 288)(79, 296)(80, 255)(81, 292)(82, 279)(83, 321)(84, 302)(85, 287)(86, 258)(87, 301)(88, 305)(89, 259)(90, 307)(91, 260)(92, 316)(93, 271)(94, 266)(95, 323)(96, 314)(97, 275)(98, 285)(99, 309)(100, 278)(101, 319)(102, 320)(103, 284)(104, 290)(105, 322)(106, 299)(107, 324)(108, 311)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1921
Graph:: simple bipartite
	v = 117 e = 216 f = 63
	degree seq :: [ 2^108, 24^9 ]

E19.1928 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y3 * Y2^-1)^3, (Y3 * Y1^-1)^4, (Y3^-1 * Y1^-1)^4, Y1^12 ]
Map:: polytopal
	R = (1, 109, 2, 110, 6, 114, 16, 124, 36, 144, 66, 174, 98, 206, 94, 202, 60, 168, 30, 138, 12, 120, 4, 112)(3, 111, 9, 117, 18, 126, 40, 148, 67, 175, 101, 209, 108, 216, 103, 211, 88, 196, 53, 161, 26, 134, 10, 118)(5, 113, 14, 122, 17, 125, 39, 147, 68, 176, 102, 210, 107, 215, 104, 212, 92, 200, 58, 166, 29, 137, 15, 123)(7, 115, 19, 127, 38, 146, 70, 178, 99, 207, 89, 197, 105, 213, 84, 192, 59, 167, 31, 139, 13, 121, 20, 128)(8, 116, 21, 129, 37, 145, 69, 177, 100, 208, 85, 193, 106, 214, 90, 198, 56, 164, 28, 136, 11, 119, 22, 130)(23, 131, 49, 157, 74, 182, 43, 151, 77, 185, 42, 150, 76, 184, 96, 204, 87, 195, 54, 162, 27, 135, 50, 158)(24, 132, 51, 159, 73, 181, 97, 205, 91, 199, 57, 165, 82, 190, 47, 155, 81, 189, 46, 154, 25, 133, 52, 160)(32, 140, 62, 170, 72, 180, 83, 191, 95, 203, 61, 169, 78, 186, 44, 152, 75, 183, 41, 149, 35, 143, 63, 171)(33, 141, 55, 163, 71, 179, 48, 156, 80, 188, 45, 153, 79, 187, 86, 194, 93, 201, 65, 173, 34, 142, 64, 172)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 233)(7, 224)(8, 218)(9, 239)(10, 241)(11, 229)(12, 245)(13, 220)(14, 248)(15, 250)(16, 253)(17, 234)(18, 222)(19, 257)(20, 259)(21, 261)(22, 263)(23, 240)(24, 225)(25, 243)(26, 228)(27, 226)(28, 271)(29, 242)(30, 275)(31, 277)(32, 249)(33, 230)(34, 251)(35, 231)(36, 283)(37, 254)(38, 232)(39, 287)(40, 289)(41, 258)(42, 235)(43, 260)(44, 236)(45, 262)(46, 237)(47, 264)(48, 238)(49, 247)(50, 299)(51, 301)(52, 302)(53, 303)(54, 305)(55, 273)(56, 246)(57, 244)(58, 291)(59, 272)(60, 304)(61, 265)(62, 270)(63, 286)(64, 306)(65, 267)(66, 315)(67, 284)(68, 252)(69, 268)(70, 312)(71, 288)(72, 255)(73, 290)(74, 256)(75, 309)(76, 319)(77, 307)(78, 320)(79, 294)(80, 318)(81, 269)(82, 292)(83, 300)(84, 266)(85, 281)(86, 285)(87, 297)(88, 308)(89, 278)(90, 313)(91, 317)(92, 276)(93, 274)(94, 322)(95, 296)(96, 279)(97, 280)(98, 323)(99, 316)(100, 282)(101, 293)(102, 311)(103, 298)(104, 295)(105, 310)(106, 321)(107, 324)(108, 314)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1922
Graph:: simple bipartite
	v = 117 e = 216 f = 63
	degree seq :: [ 2^108, 24^9 ]

E19.1929 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^-1 * Y1^-1, Y1^-1 * Y3^-1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2^2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1, (Y2^-1 * Y1^-1)^4, Y2^-1 * R * Y2^-1 * R * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-2, Y2 * Y1^-1 * Y2^-3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2 * R * Y2^3 * R * Y2^-1 * Y3^-1, Y2^2 * Y3 * Y2 * Y1 * Y2^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^3 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-6 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 24, 132, 26, 134)(11, 119, 29, 137, 31, 139)(12, 120, 32, 140, 33, 141)(15, 123, 37, 145, 17, 125)(21, 129, 47, 155, 30, 138)(22, 130, 49, 157, 39, 147)(23, 131, 50, 158, 51, 159)(25, 133, 54, 162, 56, 164)(27, 135, 59, 167, 61, 169)(28, 136, 62, 170, 63, 171)(34, 142, 43, 151, 69, 177)(35, 143, 70, 178, 42, 150)(36, 144, 40, 148, 73, 181)(38, 146, 76, 184, 68, 176)(41, 149, 79, 187, 81, 189)(44, 152, 67, 175, 84, 192)(45, 153, 85, 193, 66, 174)(46, 154, 64, 172, 88, 196)(48, 156, 91, 199, 83, 191)(52, 160, 89, 197, 60, 168)(53, 161, 95, 203, 96, 204)(55, 163, 80, 188, 98, 206)(57, 165, 82, 190, 78, 186)(58, 166, 87, 195, 86, 194)(65, 173, 102, 210, 103, 211)(71, 179, 90, 198, 72, 180)(74, 182, 104, 212, 101, 209)(75, 183, 93, 201, 100, 208)(77, 185, 92, 200, 97, 205)(94, 202, 108, 216, 105, 213)(99, 207, 107, 215, 106, 214)(217, 325, 219, 327, 225, 333, 241, 349, 271, 379, 306, 414, 263, 371, 305, 413, 293, 401, 254, 362, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 257, 365, 296, 404, 274, 382, 242, 350, 273, 381, 308, 416, 264, 372, 237, 345, 223, 331)(220, 328, 227, 335, 246, 354, 281, 389, 314, 422, 291, 399, 253, 361, 290, 398, 313, 421, 269, 377, 240, 348, 228, 336)(224, 332, 238, 346, 230, 338, 252, 360, 288, 396, 315, 423, 272, 380, 304, 412, 292, 400, 310, 418, 268, 376, 239, 347)(226, 334, 243, 351, 276, 384, 300, 408, 287, 395, 251, 359, 229, 337, 250, 358, 284, 392, 301, 409, 270, 378, 244, 352)(232, 340, 255, 363, 236, 344, 262, 370, 303, 411, 322, 430, 297, 405, 266, 374, 307, 415, 321, 429, 294, 402, 256, 364)(234, 342, 258, 366, 298, 406, 278, 386, 302, 410, 261, 369, 235, 343, 260, 368, 299, 407, 277, 385, 295, 403, 259, 367)(245, 353, 265, 373, 249, 357, 267, 375, 309, 417, 323, 431, 319, 427, 289, 397, 311, 419, 324, 432, 317, 425, 280, 388)(247, 355, 282, 390, 320, 428, 285, 393, 316, 424, 275, 383, 248, 356, 279, 387, 312, 420, 286, 394, 318, 426, 283, 391)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 234)(7, 236)(8, 219)(9, 242)(10, 224)(11, 247)(12, 249)(13, 221)(14, 229)(15, 233)(16, 222)(17, 253)(18, 232)(19, 223)(20, 235)(21, 246)(22, 255)(23, 267)(24, 225)(25, 272)(26, 240)(27, 277)(28, 279)(29, 227)(30, 263)(31, 245)(32, 228)(33, 248)(34, 285)(35, 258)(36, 289)(37, 231)(38, 284)(39, 265)(40, 252)(41, 297)(42, 286)(43, 250)(44, 300)(45, 282)(46, 304)(47, 237)(48, 299)(49, 238)(50, 239)(51, 266)(52, 276)(53, 312)(54, 241)(55, 314)(56, 270)(57, 294)(58, 302)(59, 243)(60, 305)(61, 275)(62, 244)(63, 278)(64, 262)(65, 319)(66, 301)(67, 260)(68, 292)(69, 259)(70, 251)(71, 288)(72, 306)(73, 256)(74, 317)(75, 316)(76, 254)(77, 313)(78, 298)(79, 257)(80, 271)(81, 295)(82, 273)(83, 307)(84, 283)(85, 261)(86, 303)(87, 274)(88, 280)(89, 268)(90, 287)(91, 264)(92, 293)(93, 291)(94, 321)(95, 269)(96, 311)(97, 308)(98, 296)(99, 322)(100, 309)(101, 320)(102, 281)(103, 318)(104, 290)(105, 324)(106, 323)(107, 315)(108, 310)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 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 E19.1932
Graph:: bipartite
	v = 45 e = 216 f = 135
	degree seq :: [ 6^36, 24^9 ]

E19.1930 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1, Y1^-1 * Y3^-1, Y1^2 * Y3^-1, R * Y3 * R * Y1^-1, Y2 * Y1 * Y2^-2 * Y1 * Y2, R * Y2 * R * Y3 * Y2 * Y3^-1, (Y1^-1 * Y2^-1)^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^12 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 24, 132, 17, 125)(11, 119, 28, 136, 29, 137)(12, 120, 30, 138, 31, 139)(15, 123, 32, 140, 21, 129)(22, 130, 44, 152, 46, 154)(23, 131, 47, 155, 48, 156)(25, 133, 50, 158, 45, 153)(26, 134, 52, 160, 41, 149)(27, 135, 53, 161, 54, 162)(33, 141, 57, 165, 61, 169)(34, 142, 63, 171, 36, 144)(35, 143, 64, 172, 62, 170)(37, 145, 67, 175, 68, 176)(38, 146, 69, 177, 66, 174)(39, 147, 71, 179, 59, 167)(40, 148, 72, 180, 73, 181)(42, 150, 75, 183, 55, 163)(43, 151, 76, 184, 74, 182)(49, 157, 83, 191, 85, 193)(51, 159, 70, 178, 84, 192)(56, 164, 79, 187, 90, 198)(58, 166, 91, 199, 92, 200)(60, 168, 78, 186, 93, 201)(65, 173, 77, 185, 94, 202)(80, 188, 103, 211, 89, 197)(81, 189, 95, 203, 99, 207)(82, 190, 104, 212, 87, 195)(86, 194, 102, 210, 101, 209)(88, 196, 105, 213, 96, 204)(97, 205, 100, 208, 98, 206)(106, 214, 108, 216, 107, 215)(217, 325, 219, 327, 225, 333, 241, 349, 267, 375, 302, 410, 322, 430, 313, 421, 281, 389, 251, 359, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 254, 362, 286, 394, 315, 423, 323, 431, 319, 427, 293, 401, 259, 367, 237, 345, 223, 331)(220, 328, 227, 335, 240, 348, 265, 373, 300, 408, 321, 429, 324, 432, 320, 428, 310, 418, 276, 384, 248, 356, 228, 336)(224, 332, 238, 346, 261, 369, 295, 403, 318, 426, 291, 399, 314, 422, 284, 392, 280, 388, 250, 358, 230, 338, 239, 347)(226, 334, 242, 350, 266, 374, 289, 397, 317, 425, 287, 395, 316, 424, 307, 415, 278, 386, 249, 357, 229, 337, 243, 351)(232, 340, 252, 360, 282, 390, 263, 371, 297, 405, 262, 370, 296, 404, 306, 414, 292, 400, 258, 366, 236, 344, 253, 361)(234, 342, 255, 363, 285, 393, 308, 416, 311, 419, 277, 385, 305, 413, 269, 377, 290, 398, 257, 365, 235, 343, 256, 364)(244, 352, 271, 379, 301, 409, 283, 391, 312, 420, 279, 387, 298, 406, 264, 372, 294, 402, 260, 368, 247, 355, 272, 380)(245, 353, 273, 381, 299, 407, 270, 378, 304, 412, 268, 376, 303, 411, 288, 396, 309, 417, 275, 383, 246, 354, 274, 382)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 234)(7, 236)(8, 219)(9, 233)(10, 224)(11, 245)(12, 247)(13, 221)(14, 229)(15, 237)(16, 222)(17, 240)(18, 232)(19, 223)(20, 235)(21, 248)(22, 262)(23, 264)(24, 225)(25, 261)(26, 257)(27, 270)(28, 227)(29, 244)(30, 228)(31, 246)(32, 231)(33, 277)(34, 252)(35, 278)(36, 279)(37, 284)(38, 282)(39, 275)(40, 289)(41, 268)(42, 271)(43, 290)(44, 238)(45, 266)(46, 260)(47, 239)(48, 263)(49, 301)(50, 241)(51, 300)(52, 242)(53, 243)(54, 269)(55, 291)(56, 306)(57, 249)(58, 308)(59, 287)(60, 309)(61, 273)(62, 280)(63, 250)(64, 251)(65, 310)(66, 285)(67, 253)(68, 283)(69, 254)(70, 267)(71, 255)(72, 256)(73, 288)(74, 292)(75, 258)(76, 259)(77, 281)(78, 276)(79, 272)(80, 305)(81, 315)(82, 303)(83, 265)(84, 286)(85, 299)(86, 317)(87, 320)(88, 312)(89, 319)(90, 295)(91, 274)(92, 307)(93, 294)(94, 293)(95, 297)(96, 321)(97, 314)(98, 316)(99, 311)(100, 313)(101, 318)(102, 302)(103, 296)(104, 298)(105, 304)(106, 323)(107, 324)(108, 322)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 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 E19.1931
Graph:: bipartite
	v = 45 e = 216 f = 135
	degree seq :: [ 6^36, 24^9 ]

E19.1931 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^3, Y3^-1 * Y1 * Y3^3 * Y1, Y3 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^3, Y1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 25, 133, 11, 119)(5, 113, 14, 122, 36, 144, 15, 123)(7, 115, 19, 127, 45, 153, 21, 129)(8, 116, 22, 130, 50, 158, 23, 131)(10, 118, 28, 136, 59, 167, 30, 138)(12, 120, 32, 140, 61, 169, 29, 137)(13, 121, 34, 142, 56, 164, 26, 134)(16, 124, 38, 146, 57, 165, 27, 135)(17, 125, 39, 147, 71, 179, 41, 149)(18, 126, 42, 150, 76, 184, 43, 151)(20, 128, 47, 155, 82, 190, 48, 156)(24, 132, 52, 160, 81, 189, 46, 154)(31, 139, 49, 157, 75, 183, 60, 168)(33, 141, 55, 163, 92, 200, 65, 173)(35, 143, 58, 166, 93, 201, 64, 172)(37, 145, 51, 159, 77, 185, 66, 174)(40, 148, 73, 181, 101, 209, 74, 182)(44, 152, 78, 186, 100, 208, 72, 180)(53, 161, 89, 197, 103, 211, 91, 199)(54, 162, 85, 193, 69, 177, 84, 192)(62, 170, 88, 196, 104, 212, 95, 203)(63, 171, 83, 191, 67, 175, 97, 205)(68, 176, 98, 206, 99, 207, 94, 202)(70, 178, 87, 195, 102, 210, 80, 188)(79, 187, 105, 213, 90, 198, 106, 214)(86, 194, 108, 216, 96, 204, 107, 215)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 236)(8, 218)(9, 242)(10, 245)(11, 247)(12, 249)(13, 220)(14, 251)(15, 244)(16, 221)(17, 256)(18, 222)(19, 231)(20, 227)(21, 265)(22, 232)(23, 263)(24, 224)(25, 269)(26, 271)(27, 225)(28, 264)(29, 276)(30, 278)(31, 279)(32, 259)(33, 257)(34, 260)(35, 229)(36, 283)(37, 230)(38, 262)(39, 239)(40, 237)(41, 291)(42, 240)(43, 289)(44, 234)(45, 295)(46, 235)(47, 290)(48, 299)(49, 300)(50, 301)(51, 238)(52, 288)(53, 306)(54, 241)(55, 246)(56, 304)(57, 308)(58, 243)(59, 310)(60, 311)(61, 312)(62, 287)(63, 307)(64, 248)(65, 296)(66, 250)(67, 294)(68, 252)(69, 253)(70, 254)(71, 315)(72, 255)(73, 281)(74, 270)(75, 318)(76, 286)(77, 258)(78, 280)(79, 284)(80, 261)(81, 275)(82, 323)(83, 277)(84, 322)(85, 274)(86, 266)(87, 267)(88, 268)(89, 273)(90, 272)(91, 320)(92, 321)(93, 317)(94, 316)(95, 324)(96, 319)(97, 282)(98, 285)(99, 302)(100, 298)(101, 305)(102, 314)(103, 292)(104, 293)(105, 297)(106, 313)(107, 309)(108, 303)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1930
Graph:: simple bipartite
	v = 135 e = 216 f = 45
	degree seq :: [ 2^108, 8^27 ]

E19.1932 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1)^3, Y3^-1 * Y1 * Y3^4 * Y1^-1 * Y3^-3, Y3^2 * Y1^-2 * Y3 * Y1 * Y3^-2 * Y1 * Y3 * Y1^-2, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 19, 127, 8, 116)(5, 113, 11, 119, 25, 133, 13, 121)(7, 115, 17, 125, 33, 141, 16, 124)(10, 118, 23, 131, 42, 150, 22, 130)(12, 120, 15, 123, 31, 139, 21, 129)(14, 122, 28, 136, 52, 160, 29, 137)(18, 126, 36, 144, 63, 171, 35, 143)(20, 128, 38, 146, 68, 176, 39, 147)(24, 132, 45, 153, 78, 186, 44, 152)(26, 134, 48, 156, 81, 189, 47, 155)(27, 135, 41, 149, 73, 181, 50, 158)(30, 138, 54, 162, 90, 198, 55, 163)(32, 140, 58, 166, 91, 199, 57, 165)(34, 142, 60, 168, 96, 204, 61, 169)(37, 145, 66, 174, 104, 212, 65, 173)(40, 148, 70, 178, 108, 216, 71, 179)(43, 151, 75, 183, 97, 205, 76, 184)(46, 154, 67, 175, 95, 203, 80, 188)(49, 157, 84, 192, 105, 213, 83, 191)(51, 159, 85, 193, 103, 211, 86, 194)(53, 161, 89, 197, 92, 200, 88, 196)(56, 164, 72, 180, 100, 208, 87, 195)(59, 167, 94, 202, 79, 187, 93, 201)(62, 170, 98, 206, 77, 185, 99, 207)(64, 172, 101, 209, 74, 182, 102, 210)(69, 177, 107, 215, 82, 190, 106, 214)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 226)(4, 227)(5, 217)(6, 231)(7, 234)(8, 218)(9, 237)(10, 240)(11, 242)(12, 220)(13, 244)(14, 221)(15, 248)(16, 222)(17, 229)(18, 253)(19, 254)(20, 224)(21, 257)(22, 225)(23, 255)(24, 262)(25, 249)(26, 265)(27, 228)(28, 269)(29, 270)(30, 230)(31, 235)(32, 275)(33, 276)(34, 232)(35, 233)(36, 277)(37, 283)(38, 285)(39, 286)(40, 236)(41, 290)(42, 291)(43, 238)(44, 239)(45, 292)(46, 282)(47, 241)(48, 245)(49, 296)(50, 301)(51, 243)(52, 297)(53, 295)(54, 293)(55, 288)(56, 246)(57, 247)(58, 266)(59, 311)(60, 313)(61, 314)(62, 250)(63, 317)(64, 251)(65, 252)(66, 318)(67, 310)(68, 258)(69, 321)(70, 319)(71, 316)(72, 256)(73, 307)(74, 320)(75, 312)(76, 315)(77, 259)(78, 309)(79, 260)(80, 261)(81, 322)(82, 263)(83, 264)(84, 323)(85, 324)(86, 272)(87, 267)(88, 268)(89, 271)(90, 308)(91, 304)(92, 273)(93, 274)(94, 305)(95, 300)(96, 279)(97, 294)(98, 306)(99, 303)(100, 278)(101, 289)(102, 302)(103, 280)(104, 299)(105, 281)(106, 284)(107, 287)(108, 298)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1929
Graph:: simple bipartite
	v = 135 e = 216 f = 45
	degree seq :: [ 2^108, 8^27 ]

E19.1933 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1, (T2^-1 * T1 * T2^-1 * T1^-1)^2, (T2^-1 * T1^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 46, 21)(10, 24, 53, 25)(13, 31, 63, 32)(14, 33, 65, 34)(15, 35, 68, 36)(17, 39, 73, 40)(18, 41, 74, 42)(19, 43, 76, 44)(22, 48, 82, 49)(23, 50, 84, 51)(26, 56, 80, 47)(28, 59, 90, 55)(29, 60, 83, 52)(30, 61, 94, 62)(37, 69, 99, 70)(38, 71, 100, 72)(45, 77, 101, 78)(54, 89, 107, 86)(57, 91, 104, 92)(58, 88, 105, 93)(64, 81, 103, 96)(66, 85, 106, 98)(67, 87, 108, 95)(75, 79, 102, 97)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 123, 125)(115, 126, 127)(117, 130, 131)(119, 134, 136)(120, 137, 138)(124, 145, 146)(128, 153, 152)(129, 144, 155)(132, 160, 162)(133, 148, 163)(135, 165, 166)(139, 149, 168)(140, 172, 147)(141, 151, 169)(142, 164, 174)(143, 175, 170)(150, 183, 167)(154, 177, 187)(156, 189, 188)(157, 186, 191)(158, 181, 193)(159, 184, 194)(161, 195, 196)(171, 178, 203)(173, 205, 201)(176, 199, 197)(179, 198, 185)(180, 202, 204)(182, 200, 206)(190, 207, 212)(192, 208, 213)(209, 216, 214)(210, 215, 211)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1937
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 3^36, 4^27 ]

E19.1934 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1)^3, (T2^-1 * T1^-1)^3, (T2^-1 * T1^-1)^3, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T1^-1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1, T2^5 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 60, 22, 59, 35, 76, 44, 16, 5)(2, 7, 20, 54, 91, 48, 32, 11, 31, 64, 24, 8)(4, 12, 34, 78, 40, 14, 39, 47, 89, 72, 37, 13)(6, 17, 46, 87, 80, 36, 57, 21, 56, 95, 50, 18)(9, 26, 66, 43, 58, 101, 75, 30, 74, 84, 69, 27)(15, 41, 63, 90, 73, 42, 55, 100, 71, 28, 52, 19)(23, 61, 94, 67, 99, 62, 88, 65, 25, 53, 85, 45)(33, 49, 92, 81, 38, 82, 93, 79, 96, 51, 86, 77)(68, 104, 107, 97, 83, 105, 106, 102, 70, 103, 108, 98)(109, 110, 114, 112)(111, 117, 133, 119)(113, 122, 146, 123)(115, 127, 159, 129)(116, 130, 166, 131)(118, 136, 178, 138)(120, 141, 179, 143)(121, 144, 175, 134)(124, 150, 191, 151)(125, 153, 192, 155)(126, 156, 198, 157)(128, 161, 206, 163)(132, 170, 210, 171)(135, 167, 149, 176)(137, 180, 204, 181)(139, 164, 197, 184)(140, 169, 205, 160)(142, 177, 213, 187)(145, 183, 212, 189)(147, 174, 211, 185)(148, 168, 199, 188)(152, 182, 207, 162)(154, 194, 215, 196)(158, 201, 216, 202)(165, 200, 214, 193)(172, 208, 190, 195)(173, 209, 186, 203)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1938
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 4^27, 12^9 ]

E19.1935 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1^2 * T2^-1)^2, (T2, T1^-1, T2), (T2^-1 * T1^-1)^4, T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1, T2 * T1^4 * T2^-1 * T1^-4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 26, 27)(12, 29, 31)(14, 34, 35)(15, 36, 38)(16, 40, 41)(19, 46, 47)(20, 48, 49)(21, 50, 51)(22, 52, 54)(23, 56, 37)(28, 59, 63)(30, 65, 67)(32, 60, 70)(33, 71, 57)(39, 77, 78)(42, 83, 84)(43, 85, 86)(44, 87, 89)(45, 91, 53)(55, 97, 92)(58, 80, 99)(61, 81, 73)(62, 76, 72)(64, 94, 93)(66, 88, 82)(68, 95, 98)(69, 101, 100)(74, 103, 96)(75, 102, 104)(79, 105, 106)(90, 108, 107)(109, 110, 114, 124, 147, 184, 164, 199, 174, 138, 120, 112)(111, 117, 131, 163, 185, 177, 139, 176, 196, 152, 126, 118)(113, 122, 137, 172, 186, 151, 125, 150, 190, 183, 145, 123)(115, 127, 153, 198, 180, 141, 121, 140, 173, 189, 149, 128)(116, 129, 119, 136, 170, 188, 148, 187, 175, 204, 161, 130)(132, 165, 206, 216, 209, 169, 135, 168, 195, 155, 200, 156)(133, 166, 134, 167, 208, 211, 205, 213, 197, 159, 203, 160)(142, 181, 192, 215, 193, 154, 146, 178, 210, 179, 201, 157)(143, 182, 144, 171, 194, 158, 202, 214, 212, 207, 191, 162)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^3 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1936
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 27
	degree seq :: [ 3^36, 12^9 ]

E19.1936 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1, (T2^-1 * T1 * T2^-1 * T1^-1)^2, (T2^-1 * T1^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 9, 117, 5, 113)(2, 110, 6, 114, 16, 124, 7, 115)(4, 112, 11, 119, 27, 135, 12, 120)(8, 116, 20, 128, 46, 154, 21, 129)(10, 118, 24, 132, 53, 161, 25, 133)(13, 121, 31, 139, 63, 171, 32, 140)(14, 122, 33, 141, 65, 173, 34, 142)(15, 123, 35, 143, 68, 176, 36, 144)(17, 125, 39, 147, 73, 181, 40, 148)(18, 126, 41, 149, 74, 182, 42, 150)(19, 127, 43, 151, 76, 184, 44, 152)(22, 130, 48, 156, 82, 190, 49, 157)(23, 131, 50, 158, 84, 192, 51, 159)(26, 134, 56, 164, 80, 188, 47, 155)(28, 136, 59, 167, 90, 198, 55, 163)(29, 137, 60, 168, 83, 191, 52, 160)(30, 138, 61, 169, 94, 202, 62, 170)(37, 145, 69, 177, 99, 207, 70, 178)(38, 146, 71, 179, 100, 208, 72, 180)(45, 153, 77, 185, 101, 209, 78, 186)(54, 162, 89, 197, 107, 215, 86, 194)(57, 165, 91, 199, 104, 212, 92, 200)(58, 166, 88, 196, 105, 213, 93, 201)(64, 172, 81, 189, 103, 211, 96, 204)(66, 174, 85, 193, 106, 214, 98, 206)(67, 175, 87, 195, 108, 216, 95, 203)(75, 183, 79, 187, 102, 210, 97, 205)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 123)(7, 126)(8, 118)(9, 130)(10, 111)(11, 134)(12, 137)(13, 122)(14, 113)(15, 125)(16, 145)(17, 114)(18, 127)(19, 115)(20, 153)(21, 144)(22, 131)(23, 117)(24, 160)(25, 148)(26, 136)(27, 165)(28, 119)(29, 138)(30, 120)(31, 149)(32, 172)(33, 151)(34, 164)(35, 175)(36, 155)(37, 146)(38, 124)(39, 140)(40, 163)(41, 168)(42, 183)(43, 169)(44, 128)(45, 152)(46, 177)(47, 129)(48, 189)(49, 186)(50, 181)(51, 184)(52, 162)(53, 195)(54, 132)(55, 133)(56, 174)(57, 166)(58, 135)(59, 150)(60, 139)(61, 141)(62, 143)(63, 178)(64, 147)(65, 205)(66, 142)(67, 170)(68, 199)(69, 187)(70, 203)(71, 198)(72, 202)(73, 193)(74, 200)(75, 167)(76, 194)(77, 179)(78, 191)(79, 154)(80, 156)(81, 188)(82, 207)(83, 157)(84, 208)(85, 158)(86, 159)(87, 196)(88, 161)(89, 176)(90, 185)(91, 197)(92, 206)(93, 173)(94, 204)(95, 171)(96, 180)(97, 201)(98, 182)(99, 212)(100, 213)(101, 216)(102, 215)(103, 210)(104, 190)(105, 192)(106, 209)(107, 211)(108, 214)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1935
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 108 f = 45
	degree seq :: [ 8^27 ]

E19.1937 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1)^3, (T2^-1 * T1^-1)^3, (T2^-1 * T1^-1)^3, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T1^-1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1, T2^5 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 10, 118, 29, 137, 60, 168, 22, 130, 59, 167, 35, 143, 76, 184, 44, 152, 16, 124, 5, 113)(2, 110, 7, 115, 20, 128, 54, 162, 91, 199, 48, 156, 32, 140, 11, 119, 31, 139, 64, 172, 24, 132, 8, 116)(4, 112, 12, 120, 34, 142, 78, 186, 40, 148, 14, 122, 39, 147, 47, 155, 89, 197, 72, 180, 37, 145, 13, 121)(6, 114, 17, 125, 46, 154, 87, 195, 80, 188, 36, 144, 57, 165, 21, 129, 56, 164, 95, 203, 50, 158, 18, 126)(9, 117, 26, 134, 66, 174, 43, 151, 58, 166, 101, 209, 75, 183, 30, 138, 74, 182, 84, 192, 69, 177, 27, 135)(15, 123, 41, 149, 63, 171, 90, 198, 73, 181, 42, 150, 55, 163, 100, 208, 71, 179, 28, 136, 52, 160, 19, 127)(23, 131, 61, 169, 94, 202, 67, 175, 99, 207, 62, 170, 88, 196, 65, 173, 25, 133, 53, 161, 85, 193, 45, 153)(33, 141, 49, 157, 92, 200, 81, 189, 38, 146, 82, 190, 93, 201, 79, 187, 96, 204, 51, 159, 86, 194, 77, 185)(68, 176, 104, 212, 107, 215, 97, 205, 83, 191, 105, 213, 106, 214, 102, 210, 70, 178, 103, 211, 108, 216, 98, 206)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 122)(6, 112)(7, 127)(8, 130)(9, 133)(10, 136)(11, 111)(12, 141)(13, 144)(14, 146)(15, 113)(16, 150)(17, 153)(18, 156)(19, 159)(20, 161)(21, 115)(22, 166)(23, 116)(24, 170)(25, 119)(26, 121)(27, 167)(28, 178)(29, 180)(30, 118)(31, 164)(32, 169)(33, 179)(34, 177)(35, 120)(36, 175)(37, 183)(38, 123)(39, 174)(40, 168)(41, 176)(42, 191)(43, 124)(44, 182)(45, 192)(46, 194)(47, 125)(48, 198)(49, 126)(50, 201)(51, 129)(52, 140)(53, 206)(54, 152)(55, 128)(56, 197)(57, 200)(58, 131)(59, 149)(60, 199)(61, 205)(62, 210)(63, 132)(64, 208)(65, 209)(66, 211)(67, 134)(68, 135)(69, 213)(70, 138)(71, 143)(72, 204)(73, 137)(74, 207)(75, 212)(76, 139)(77, 147)(78, 203)(79, 142)(80, 148)(81, 145)(82, 195)(83, 151)(84, 155)(85, 165)(86, 215)(87, 172)(88, 154)(89, 184)(90, 157)(91, 188)(92, 214)(93, 216)(94, 158)(95, 173)(96, 181)(97, 160)(98, 163)(99, 162)(100, 190)(101, 186)(102, 171)(103, 185)(104, 189)(105, 187)(106, 193)(107, 196)(108, 202)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.1933
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 63
	degree seq :: [ 24^9 ]

E19.1938 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1^2 * T2^-1)^2, (T2, T1^-1, T2), (T2^-1 * T1^-1)^4, T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1, T2 * T1^4 * T2^-1 * T1^-4 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 5, 113)(2, 110, 7, 115, 8, 116)(4, 112, 11, 119, 13, 121)(6, 114, 17, 125, 18, 126)(9, 117, 24, 132, 25, 133)(10, 118, 26, 134, 27, 135)(12, 120, 29, 137, 31, 139)(14, 122, 34, 142, 35, 143)(15, 123, 36, 144, 38, 146)(16, 124, 40, 148, 41, 149)(19, 127, 46, 154, 47, 155)(20, 128, 48, 156, 49, 157)(21, 129, 50, 158, 51, 159)(22, 130, 52, 160, 54, 162)(23, 131, 56, 164, 37, 145)(28, 136, 59, 167, 63, 171)(30, 138, 65, 173, 67, 175)(32, 140, 60, 168, 70, 178)(33, 141, 71, 179, 57, 165)(39, 147, 77, 185, 78, 186)(42, 150, 83, 191, 84, 192)(43, 151, 85, 193, 86, 194)(44, 152, 87, 195, 89, 197)(45, 153, 91, 199, 53, 161)(55, 163, 97, 205, 92, 200)(58, 166, 80, 188, 99, 207)(61, 169, 81, 189, 73, 181)(62, 170, 76, 184, 72, 180)(64, 172, 94, 202, 93, 201)(66, 174, 88, 196, 82, 190)(68, 176, 95, 203, 98, 206)(69, 177, 101, 209, 100, 208)(74, 182, 103, 211, 96, 204)(75, 183, 102, 210, 104, 212)(79, 187, 105, 213, 106, 214)(90, 198, 108, 216, 107, 215)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 122)(6, 124)(7, 127)(8, 129)(9, 131)(10, 111)(11, 136)(12, 112)(13, 140)(14, 137)(15, 113)(16, 147)(17, 150)(18, 118)(19, 153)(20, 115)(21, 119)(22, 116)(23, 163)(24, 165)(25, 166)(26, 167)(27, 168)(28, 170)(29, 172)(30, 120)(31, 176)(32, 173)(33, 121)(34, 181)(35, 182)(36, 171)(37, 123)(38, 178)(39, 184)(40, 187)(41, 128)(42, 190)(43, 125)(44, 126)(45, 198)(46, 146)(47, 200)(48, 132)(49, 142)(50, 202)(51, 203)(52, 133)(53, 130)(54, 143)(55, 185)(56, 199)(57, 206)(58, 134)(59, 208)(60, 195)(61, 135)(62, 188)(63, 194)(64, 186)(65, 189)(66, 138)(67, 204)(68, 196)(69, 139)(70, 210)(71, 201)(72, 141)(73, 192)(74, 144)(75, 145)(76, 164)(77, 177)(78, 151)(79, 175)(80, 148)(81, 149)(82, 183)(83, 162)(84, 215)(85, 154)(86, 158)(87, 155)(88, 152)(89, 159)(90, 180)(91, 174)(92, 156)(93, 157)(94, 214)(95, 160)(96, 161)(97, 213)(98, 216)(99, 191)(100, 211)(101, 169)(102, 179)(103, 205)(104, 207)(105, 197)(106, 212)(107, 193)(108, 209)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1934
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 36 e = 108 f = 36
	degree seq :: [ 6^36 ]

E19.1939 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, (R * Y3)^2, Y2^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y3 * Y2^-1 * Y3^-1 * Y2^-1)^2, Y2^-2 * Y3 * Y2 * Y1 * Y2^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y3 * Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 15, 123, 17, 125)(7, 115, 18, 126, 19, 127)(9, 117, 22, 130, 23, 131)(11, 119, 26, 134, 28, 136)(12, 120, 29, 137, 30, 138)(16, 124, 37, 145, 38, 146)(20, 128, 45, 153, 44, 152)(21, 129, 36, 144, 47, 155)(24, 132, 52, 160, 54, 162)(25, 133, 40, 148, 55, 163)(27, 135, 57, 165, 58, 166)(31, 139, 41, 149, 60, 168)(32, 140, 64, 172, 39, 147)(33, 141, 43, 151, 61, 169)(34, 142, 56, 164, 66, 174)(35, 143, 67, 175, 62, 170)(42, 150, 75, 183, 59, 167)(46, 154, 69, 177, 79, 187)(48, 156, 81, 189, 80, 188)(49, 157, 78, 186, 83, 191)(50, 158, 73, 181, 85, 193)(51, 159, 76, 184, 86, 194)(53, 161, 87, 195, 88, 196)(63, 171, 70, 178, 95, 203)(65, 173, 97, 205, 93, 201)(68, 176, 91, 199, 89, 197)(71, 179, 90, 198, 77, 185)(72, 180, 94, 202, 96, 204)(74, 182, 92, 200, 98, 206)(82, 190, 99, 207, 104, 212)(84, 192, 100, 208, 105, 213)(101, 209, 108, 216, 106, 214)(102, 210, 107, 215, 103, 211)(217, 325, 219, 327, 225, 333, 221, 329)(218, 326, 222, 330, 232, 340, 223, 331)(220, 328, 227, 335, 243, 351, 228, 336)(224, 332, 236, 344, 262, 370, 237, 345)(226, 334, 240, 348, 269, 377, 241, 349)(229, 337, 247, 355, 279, 387, 248, 356)(230, 338, 249, 357, 281, 389, 250, 358)(231, 339, 251, 359, 284, 392, 252, 360)(233, 341, 255, 363, 289, 397, 256, 364)(234, 342, 257, 365, 290, 398, 258, 366)(235, 343, 259, 367, 292, 400, 260, 368)(238, 346, 264, 372, 298, 406, 265, 373)(239, 347, 266, 374, 300, 408, 267, 375)(242, 350, 272, 380, 296, 404, 263, 371)(244, 352, 275, 383, 306, 414, 271, 379)(245, 353, 276, 384, 299, 407, 268, 376)(246, 354, 277, 385, 310, 418, 278, 386)(253, 361, 285, 393, 315, 423, 286, 394)(254, 362, 287, 395, 316, 424, 288, 396)(261, 369, 293, 401, 317, 425, 294, 402)(270, 378, 305, 413, 323, 431, 302, 410)(273, 381, 307, 415, 320, 428, 308, 416)(274, 382, 304, 412, 321, 429, 309, 417)(280, 388, 297, 405, 319, 427, 312, 420)(282, 390, 301, 409, 322, 430, 314, 422)(283, 391, 303, 411, 324, 432, 311, 419)(291, 399, 295, 403, 318, 426, 313, 421)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 233)(7, 235)(8, 219)(9, 239)(10, 224)(11, 244)(12, 246)(13, 221)(14, 229)(15, 222)(16, 254)(17, 231)(18, 223)(19, 234)(20, 260)(21, 263)(22, 225)(23, 238)(24, 270)(25, 271)(26, 227)(27, 274)(28, 242)(29, 228)(30, 245)(31, 276)(32, 255)(33, 277)(34, 282)(35, 278)(36, 237)(37, 232)(38, 253)(39, 280)(40, 241)(41, 247)(42, 275)(43, 249)(44, 261)(45, 236)(46, 295)(47, 252)(48, 296)(49, 299)(50, 301)(51, 302)(52, 240)(53, 304)(54, 268)(55, 256)(56, 250)(57, 243)(58, 273)(59, 291)(60, 257)(61, 259)(62, 283)(63, 311)(64, 248)(65, 309)(66, 272)(67, 251)(68, 305)(69, 262)(70, 279)(71, 293)(72, 312)(73, 266)(74, 314)(75, 258)(76, 267)(77, 306)(78, 265)(79, 285)(80, 297)(81, 264)(82, 320)(83, 294)(84, 321)(85, 289)(86, 292)(87, 269)(88, 303)(89, 307)(90, 287)(91, 284)(92, 290)(93, 313)(94, 288)(95, 286)(96, 310)(97, 281)(98, 308)(99, 298)(100, 300)(101, 322)(102, 319)(103, 323)(104, 315)(105, 316)(106, 324)(107, 318)(108, 317)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1942
Graph:: bipartite
	v = 63 e = 216 f = 117
	degree seq :: [ 6^36, 8^27 ]

E19.1940 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^3, (Y3^-1 * Y1^-1)^3, Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1^-2, Y2^3 * Y1^-1 * Y2 * Y1^-1 * Y2^2, Y2^2 * Y1 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 25, 133, 11, 119)(5, 113, 14, 122, 38, 146, 15, 123)(7, 115, 19, 127, 51, 159, 21, 129)(8, 116, 22, 130, 58, 166, 23, 131)(10, 118, 28, 136, 70, 178, 30, 138)(12, 120, 33, 141, 71, 179, 35, 143)(13, 121, 36, 144, 67, 175, 26, 134)(16, 124, 42, 150, 83, 191, 43, 151)(17, 125, 45, 153, 84, 192, 47, 155)(18, 126, 48, 156, 90, 198, 49, 157)(20, 128, 53, 161, 98, 206, 55, 163)(24, 132, 62, 170, 102, 210, 63, 171)(27, 135, 59, 167, 41, 149, 68, 176)(29, 137, 72, 180, 96, 204, 73, 181)(31, 139, 56, 164, 89, 197, 76, 184)(32, 140, 61, 169, 97, 205, 52, 160)(34, 142, 69, 177, 105, 213, 79, 187)(37, 145, 75, 183, 104, 212, 81, 189)(39, 147, 66, 174, 103, 211, 77, 185)(40, 148, 60, 168, 91, 199, 80, 188)(44, 152, 74, 182, 99, 207, 54, 162)(46, 154, 86, 194, 107, 215, 88, 196)(50, 158, 93, 201, 108, 216, 94, 202)(57, 165, 92, 200, 106, 214, 85, 193)(64, 172, 100, 208, 82, 190, 87, 195)(65, 173, 101, 209, 78, 186, 95, 203)(217, 325, 219, 327, 226, 334, 245, 353, 276, 384, 238, 346, 275, 383, 251, 359, 292, 400, 260, 368, 232, 340, 221, 329)(218, 326, 223, 331, 236, 344, 270, 378, 307, 415, 264, 372, 248, 356, 227, 335, 247, 355, 280, 388, 240, 348, 224, 332)(220, 328, 228, 336, 250, 358, 294, 402, 256, 364, 230, 338, 255, 363, 263, 371, 305, 413, 288, 396, 253, 361, 229, 337)(222, 330, 233, 341, 262, 370, 303, 411, 296, 404, 252, 360, 273, 381, 237, 345, 272, 380, 311, 419, 266, 374, 234, 342)(225, 333, 242, 350, 282, 390, 259, 367, 274, 382, 317, 425, 291, 399, 246, 354, 290, 398, 300, 408, 285, 393, 243, 351)(231, 339, 257, 365, 279, 387, 306, 414, 289, 397, 258, 366, 271, 379, 316, 424, 287, 395, 244, 352, 268, 376, 235, 343)(239, 347, 277, 385, 310, 418, 283, 391, 315, 423, 278, 386, 304, 412, 281, 389, 241, 349, 269, 377, 301, 409, 261, 369)(249, 357, 265, 373, 308, 416, 297, 405, 254, 362, 298, 406, 309, 417, 295, 403, 312, 420, 267, 375, 302, 410, 293, 401)(284, 392, 320, 428, 323, 431, 313, 421, 299, 407, 321, 429, 322, 430, 318, 426, 286, 394, 319, 427, 324, 432, 314, 422)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 236)(8, 218)(9, 242)(10, 245)(11, 247)(12, 250)(13, 220)(14, 255)(15, 257)(16, 221)(17, 262)(18, 222)(19, 231)(20, 270)(21, 272)(22, 275)(23, 277)(24, 224)(25, 269)(26, 282)(27, 225)(28, 268)(29, 276)(30, 290)(31, 280)(32, 227)(33, 265)(34, 294)(35, 292)(36, 273)(37, 229)(38, 298)(39, 263)(40, 230)(41, 279)(42, 271)(43, 274)(44, 232)(45, 239)(46, 303)(47, 305)(48, 248)(49, 308)(50, 234)(51, 302)(52, 235)(53, 301)(54, 307)(55, 316)(56, 311)(57, 237)(58, 317)(59, 251)(60, 238)(61, 310)(62, 304)(63, 306)(64, 240)(65, 241)(66, 259)(67, 315)(68, 320)(69, 243)(70, 319)(71, 244)(72, 253)(73, 258)(74, 300)(75, 246)(76, 260)(77, 249)(78, 256)(79, 312)(80, 252)(81, 254)(82, 309)(83, 321)(84, 285)(85, 261)(86, 293)(87, 296)(88, 281)(89, 288)(90, 289)(91, 264)(92, 297)(93, 295)(94, 283)(95, 266)(96, 267)(97, 299)(98, 284)(99, 278)(100, 287)(101, 291)(102, 286)(103, 324)(104, 323)(105, 322)(106, 318)(107, 313)(108, 314)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ), ( 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 E19.1941
Graph:: bipartite
	v = 36 e = 216 f = 144
	degree seq :: [ 8^27, 24^9 ]

E19.1941 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1 * Y3^-1)^2, (Y2^-1, Y3, Y2^-1), (Y3 * Y2^-1)^4, Y3^4 * Y2 * Y3^-4 * Y2^-1, Y3^6 * Y2^-1 * Y3^2 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 220, 328)(219, 327, 224, 332, 226, 334)(221, 329, 229, 337, 230, 338)(222, 330, 232, 340, 234, 342)(223, 331, 235, 343, 236, 344)(225, 333, 240, 348, 242, 350)(227, 335, 245, 353, 247, 355)(228, 336, 248, 356, 249, 357)(231, 339, 253, 361, 233, 341)(237, 345, 263, 371, 246, 354)(238, 346, 265, 373, 266, 374)(239, 347, 256, 364, 267, 375)(241, 349, 270, 378, 272, 380)(243, 351, 275, 383, 261, 369)(244, 352, 259, 367, 277, 385)(250, 358, 260, 368, 281, 389)(251, 359, 280, 388, 285, 393)(252, 360, 262, 370, 283, 391)(254, 362, 290, 398, 284, 392)(255, 363, 292, 400, 293, 401)(257, 365, 295, 403, 297, 405)(258, 366, 298, 406, 282, 390)(264, 372, 305, 413, 300, 408)(268, 376, 303, 411, 276, 384)(269, 377, 308, 416, 309, 417)(271, 379, 296, 404, 311, 419)(273, 381, 299, 407, 294, 402)(274, 382, 302, 410, 301, 409)(278, 386, 316, 424, 313, 421)(279, 387, 314, 422, 317, 425)(286, 394, 304, 412, 287, 395)(288, 396, 318, 426, 307, 415)(289, 397, 320, 428, 319, 427)(291, 399, 306, 414, 310, 418)(312, 420, 321, 429, 323, 431)(315, 423, 322, 430, 324, 432)
	L = (1, 219)(2, 222)(3, 225)(4, 227)(5, 217)(6, 233)(7, 218)(8, 238)(9, 241)(10, 243)(11, 246)(12, 220)(13, 250)(14, 252)(15, 221)(16, 255)(17, 257)(18, 258)(19, 260)(20, 262)(21, 223)(22, 230)(23, 224)(24, 228)(25, 271)(26, 273)(27, 276)(28, 226)(29, 278)(30, 279)(31, 280)(32, 281)(33, 283)(34, 284)(35, 229)(36, 287)(37, 288)(38, 231)(39, 236)(40, 232)(41, 296)(42, 299)(43, 234)(44, 300)(45, 235)(46, 302)(47, 303)(48, 237)(49, 307)(50, 297)(51, 245)(52, 239)(53, 240)(54, 244)(55, 304)(56, 312)(57, 306)(58, 242)(59, 314)(60, 315)(61, 247)(62, 249)(63, 311)(64, 318)(65, 309)(66, 248)(67, 320)(68, 298)(69, 295)(70, 251)(71, 313)(72, 310)(73, 253)(74, 292)(75, 254)(76, 268)(77, 317)(78, 256)(79, 259)(80, 274)(81, 321)(82, 270)(83, 322)(84, 285)(85, 261)(86, 266)(87, 291)(88, 263)(89, 316)(90, 264)(91, 267)(92, 265)(93, 275)(94, 269)(95, 289)(96, 290)(97, 272)(98, 277)(99, 286)(100, 294)(101, 323)(102, 324)(103, 282)(104, 293)(105, 305)(106, 301)(107, 308)(108, 319)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1940
Graph:: simple bipartite
	v = 144 e = 216 f = 36
	degree seq :: [ 2^108, 6^36 ]

E19.1942 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1^2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3, Y1^-1, Y3), (Y3^-1, Y1, Y3^-1), (Y3^-1 * Y1^-1)^4, Y1^-1 * Y3^-1 * Y1^4 * Y3 * Y1^-3 ]
Map:: polytopal
	R = (1, 109, 2, 110, 6, 114, 16, 124, 39, 147, 76, 184, 56, 164, 91, 199, 66, 174, 30, 138, 12, 120, 4, 112)(3, 111, 9, 117, 23, 131, 55, 163, 77, 185, 69, 177, 31, 139, 68, 176, 88, 196, 44, 152, 18, 126, 10, 118)(5, 113, 14, 122, 29, 137, 64, 172, 78, 186, 43, 151, 17, 125, 42, 150, 82, 190, 75, 183, 37, 145, 15, 123)(7, 115, 19, 127, 45, 153, 90, 198, 72, 180, 33, 141, 13, 121, 32, 140, 65, 173, 81, 189, 41, 149, 20, 128)(8, 116, 21, 129, 11, 119, 28, 136, 62, 170, 80, 188, 40, 148, 79, 187, 67, 175, 96, 204, 53, 161, 22, 130)(24, 132, 57, 165, 98, 206, 108, 216, 101, 209, 61, 169, 27, 135, 60, 168, 87, 195, 47, 155, 92, 200, 48, 156)(25, 133, 58, 166, 26, 134, 59, 167, 100, 208, 103, 211, 97, 205, 105, 213, 89, 197, 51, 159, 95, 203, 52, 160)(34, 142, 73, 181, 84, 192, 107, 215, 85, 193, 46, 154, 38, 146, 70, 178, 102, 210, 71, 179, 93, 201, 49, 157)(35, 143, 74, 182, 36, 144, 63, 171, 86, 194, 50, 158, 94, 202, 106, 214, 104, 212, 99, 207, 83, 191, 54, 162)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 233)(7, 224)(8, 218)(9, 240)(10, 242)(11, 229)(12, 245)(13, 220)(14, 250)(15, 252)(16, 256)(17, 234)(18, 222)(19, 262)(20, 264)(21, 266)(22, 268)(23, 272)(24, 241)(25, 225)(26, 243)(27, 226)(28, 275)(29, 247)(30, 281)(31, 228)(32, 276)(33, 287)(34, 251)(35, 230)(36, 254)(37, 239)(38, 231)(39, 293)(40, 257)(41, 232)(42, 299)(43, 301)(44, 303)(45, 307)(46, 263)(47, 235)(48, 265)(49, 236)(50, 267)(51, 237)(52, 270)(53, 261)(54, 238)(55, 313)(56, 253)(57, 249)(58, 296)(59, 279)(60, 286)(61, 297)(62, 292)(63, 244)(64, 310)(65, 283)(66, 304)(67, 246)(68, 311)(69, 317)(70, 248)(71, 273)(72, 278)(73, 277)(74, 319)(75, 318)(76, 288)(77, 294)(78, 255)(79, 321)(80, 315)(81, 289)(82, 282)(83, 300)(84, 258)(85, 302)(86, 259)(87, 305)(88, 298)(89, 260)(90, 324)(91, 269)(92, 271)(93, 280)(94, 309)(95, 314)(96, 290)(97, 308)(98, 284)(99, 274)(100, 285)(101, 316)(102, 320)(103, 312)(104, 291)(105, 322)(106, 295)(107, 306)(108, 323)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.1939
Graph:: simple bipartite
	v = 117 e = 216 f = 63
	degree seq :: [ 2^108, 24^9 ]

E19.1943 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y3^-1 * Y2^-2 * Y1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, (Y1^-1, Y2^-1, Y1^-1), Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-3, Y2^12 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 24, 132, 21, 129)(11, 119, 28, 136, 30, 138)(12, 120, 31, 139, 32, 140)(15, 123, 29, 137, 37, 145)(17, 125, 41, 149, 33, 141)(22, 130, 49, 157, 51, 159)(23, 131, 40, 148, 52, 160)(25, 133, 56, 164, 53, 161)(26, 134, 58, 166, 59, 167)(27, 135, 44, 152, 60, 168)(34, 142, 45, 153, 65, 173)(35, 143, 46, 154, 66, 174)(36, 144, 70, 178, 39, 147)(38, 146, 69, 177, 74, 182)(42, 150, 80, 188, 77, 185)(43, 151, 82, 190, 83, 191)(47, 155, 87, 195, 62, 170)(48, 156, 86, 194, 89, 197)(50, 158, 78, 186, 61, 169)(54, 162, 94, 202, 96, 204)(55, 163, 91, 199, 97, 205)(57, 165, 81, 189, 98, 206)(63, 171, 100, 208, 93, 201)(64, 172, 102, 210, 101, 209)(67, 175, 103, 211, 104, 212)(68, 176, 79, 187, 71, 179)(72, 180, 84, 192, 76, 184)(73, 181, 88, 196, 85, 193)(75, 183, 90, 198, 95, 203)(92, 200, 105, 213, 107, 215)(99, 207, 106, 214, 108, 216)(217, 325, 219, 327, 225, 333, 241, 349, 273, 381, 295, 403, 257, 365, 294, 402, 291, 399, 254, 362, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 258, 366, 297, 405, 289, 397, 253, 361, 288, 396, 306, 414, 264, 372, 237, 345, 223, 331)(220, 328, 227, 335, 245, 353, 279, 387, 314, 422, 271, 379, 240, 348, 270, 378, 311, 419, 283, 391, 249, 357, 228, 336)(224, 332, 238, 346, 266, 374, 308, 416, 287, 395, 252, 360, 230, 338, 251, 359, 285, 393, 303, 411, 269, 377, 239, 347)(226, 334, 242, 350, 229, 337, 250, 358, 284, 392, 298, 406, 272, 380, 315, 423, 290, 398, 317, 425, 277, 385, 243, 351)(232, 340, 255, 363, 292, 400, 321, 429, 304, 412, 263, 371, 236, 344, 262, 370, 302, 410, 267, 375, 293, 401, 256, 364)(234, 342, 259, 367, 235, 343, 261, 369, 301, 409, 318, 426, 296, 404, 322, 430, 305, 413, 275, 383, 300, 408, 260, 368)(244, 352, 278, 386, 312, 420, 323, 431, 307, 415, 265, 373, 248, 356, 282, 390, 319, 427, 286, 394, 309, 417, 268, 376)(246, 354, 280, 388, 247, 355, 281, 389, 313, 421, 274, 382, 316, 424, 324, 432, 320, 428, 299, 407, 310, 418, 276, 384)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 234)(7, 236)(8, 219)(9, 237)(10, 224)(11, 246)(12, 248)(13, 221)(14, 229)(15, 253)(16, 222)(17, 249)(18, 232)(19, 223)(20, 235)(21, 240)(22, 267)(23, 268)(24, 225)(25, 269)(26, 275)(27, 276)(28, 227)(29, 231)(30, 244)(31, 228)(32, 247)(33, 257)(34, 281)(35, 282)(36, 255)(37, 245)(38, 290)(39, 286)(40, 239)(41, 233)(42, 293)(43, 299)(44, 243)(45, 250)(46, 251)(47, 278)(48, 305)(49, 238)(50, 277)(51, 265)(52, 256)(53, 272)(54, 312)(55, 313)(56, 241)(57, 314)(58, 242)(59, 274)(60, 260)(61, 294)(62, 303)(63, 309)(64, 317)(65, 261)(66, 262)(67, 320)(68, 287)(69, 254)(70, 252)(71, 295)(72, 292)(73, 301)(74, 285)(75, 311)(76, 300)(77, 296)(78, 266)(79, 284)(80, 258)(81, 273)(82, 259)(83, 298)(84, 288)(85, 304)(86, 264)(87, 263)(88, 289)(89, 302)(90, 291)(91, 271)(92, 323)(93, 316)(94, 270)(95, 306)(96, 310)(97, 307)(98, 297)(99, 324)(100, 279)(101, 318)(102, 280)(103, 283)(104, 319)(105, 308)(106, 315)(107, 321)(108, 322)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 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 E19.1944
Graph:: bipartite
	v = 45 e = 216 f = 135
	degree seq :: [ 6^36, 24^9 ]

E19.1944 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, Y3^5 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1^-1 * Y3^-1 * Y1^-1)^2, Y3 * Y1^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^2, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 25, 133, 11, 119)(5, 113, 14, 122, 38, 146, 15, 123)(7, 115, 19, 127, 51, 159, 21, 129)(8, 116, 22, 130, 58, 166, 23, 131)(10, 118, 28, 136, 70, 178, 30, 138)(12, 120, 33, 141, 71, 179, 35, 143)(13, 121, 36, 144, 67, 175, 26, 134)(16, 124, 42, 150, 83, 191, 43, 151)(17, 125, 45, 153, 84, 192, 47, 155)(18, 126, 48, 156, 90, 198, 49, 157)(20, 128, 53, 161, 98, 206, 55, 163)(24, 132, 62, 170, 102, 210, 63, 171)(27, 135, 59, 167, 41, 149, 68, 176)(29, 137, 72, 180, 96, 204, 73, 181)(31, 139, 56, 164, 89, 197, 76, 184)(32, 140, 61, 169, 97, 205, 52, 160)(34, 142, 69, 177, 105, 213, 79, 187)(37, 145, 75, 183, 104, 212, 81, 189)(39, 147, 66, 174, 103, 211, 77, 185)(40, 148, 60, 168, 91, 199, 80, 188)(44, 152, 74, 182, 99, 207, 54, 162)(46, 154, 86, 194, 107, 215, 88, 196)(50, 158, 93, 201, 108, 216, 94, 202)(57, 165, 92, 200, 106, 214, 85, 193)(64, 172, 100, 208, 82, 190, 87, 195)(65, 173, 101, 209, 78, 186, 95, 203)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 236)(8, 218)(9, 242)(10, 245)(11, 247)(12, 250)(13, 220)(14, 255)(15, 257)(16, 221)(17, 262)(18, 222)(19, 231)(20, 270)(21, 272)(22, 275)(23, 277)(24, 224)(25, 269)(26, 282)(27, 225)(28, 268)(29, 276)(30, 290)(31, 280)(32, 227)(33, 265)(34, 294)(35, 292)(36, 273)(37, 229)(38, 298)(39, 263)(40, 230)(41, 279)(42, 271)(43, 274)(44, 232)(45, 239)(46, 303)(47, 305)(48, 248)(49, 308)(50, 234)(51, 302)(52, 235)(53, 301)(54, 307)(55, 316)(56, 311)(57, 237)(58, 317)(59, 251)(60, 238)(61, 310)(62, 304)(63, 306)(64, 240)(65, 241)(66, 259)(67, 315)(68, 320)(69, 243)(70, 319)(71, 244)(72, 253)(73, 258)(74, 300)(75, 246)(76, 260)(77, 249)(78, 256)(79, 312)(80, 252)(81, 254)(82, 309)(83, 321)(84, 285)(85, 261)(86, 293)(87, 296)(88, 281)(89, 288)(90, 289)(91, 264)(92, 297)(93, 295)(94, 283)(95, 266)(96, 267)(97, 299)(98, 284)(99, 278)(100, 287)(101, 291)(102, 286)(103, 324)(104, 323)(105, 322)(106, 318)(107, 313)(108, 314)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.1943
Graph:: simple bipartite
	v = 135 e = 216 f = 45
	degree seq :: [ 2^108, 8^27 ]

E19.1945 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 12})
Quotient :: regular
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^3, T1^-4 * T2 * T1^4 * T2, T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-5 * T2 * T1^-1, T1^12 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 84, 83, 46, 22, 10, 4)(3, 7, 15, 31, 48, 86, 92, 95, 73, 38, 18, 8)(6, 13, 27, 54, 85, 69, 74, 82, 45, 60, 30, 14)(9, 19, 39, 50, 24, 49, 59, 64, 101, 79, 42, 20)(12, 25, 37, 71, 99, 62, 32, 44, 21, 43, 53, 26)(16, 33, 63, 100, 78, 41, 77, 102, 72, 88, 66, 34)(17, 35, 67, 98, 61, 96, 56, 28, 55, 94, 70, 36)(29, 57, 68, 80, 93, 107, 90, 51, 89, 106, 97, 58)(40, 75, 103, 105, 87, 81, 104, 108, 91, 52, 65, 76)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 51)(26, 52)(27, 42)(30, 59)(31, 61)(33, 64)(34, 65)(35, 68)(36, 69)(38, 72)(39, 74)(43, 80)(44, 81)(46, 73)(47, 85)(49, 87)(50, 88)(53, 92)(54, 93)(55, 95)(56, 66)(57, 76)(58, 62)(60, 98)(63, 70)(67, 77)(71, 75)(78, 86)(79, 91)(82, 89)(83, 101)(84, 99)(90, 96)(94, 97)(100, 103)(102, 104)(105, 107)(106, 108)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.1946 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2 * T1 * T2)^3, T2^-4 * T1 * T2^4 * T1, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1, T2 * T1 * T2 * T1 * T2 * T1 * T2^5 * T1, T2^12 ]
Map::
	R = (1, 3, 8, 18, 38, 73, 102, 83, 46, 22, 10, 4)(2, 5, 12, 26, 53, 90, 100, 94, 60, 30, 14, 6)(7, 15, 32, 63, 91, 56, 76, 82, 45, 67, 34, 16)(9, 19, 40, 72, 37, 71, 66, 47, 84, 79, 42, 20)(11, 23, 48, 85, 78, 41, 77, 93, 59, 86, 50, 24)(13, 27, 55, 89, 52, 88, 62, 31, 61, 92, 57, 28)(17, 35, 29, 58, 87, 51, 25, 44, 21, 43, 70, 36)(33, 64, 54, 80, 95, 105, 98, 68, 97, 106, 96, 65)(39, 74, 103, 108, 101, 81, 104, 107, 99, 69, 49, 75)(109, 110)(111, 115)(112, 117)(113, 119)(114, 121)(116, 125)(118, 129)(120, 133)(122, 137)(123, 139)(124, 141)(126, 145)(127, 147)(128, 149)(130, 153)(131, 155)(132, 157)(134, 160)(135, 162)(136, 164)(138, 167)(140, 150)(142, 174)(143, 176)(144, 177)(146, 161)(148, 184)(151, 188)(152, 189)(154, 168)(156, 165)(158, 170)(159, 173)(163, 185)(166, 182)(169, 202)(171, 203)(172, 183)(175, 197)(178, 208)(179, 209)(180, 194)(181, 199)(186, 198)(187, 207)(190, 205)(191, 192)(193, 211)(195, 210)(196, 206)(200, 204)(201, 212)(213, 216)(214, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1947
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 2^54, 12^9 ]

E19.1947 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2 * T1 * T2)^3, T2^-4 * T1 * T2^4 * T1, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1, T2 * T1 * T2 * T1 * T2 * T1 * T2^5 * T1, T2^12 ]
Map::
	R = (1, 109, 3, 111, 8, 116, 18, 126, 38, 146, 73, 181, 102, 210, 83, 191, 46, 154, 22, 130, 10, 118, 4, 112)(2, 110, 5, 113, 12, 120, 26, 134, 53, 161, 90, 198, 100, 208, 94, 202, 60, 168, 30, 138, 14, 122, 6, 114)(7, 115, 15, 123, 32, 140, 63, 171, 91, 199, 56, 164, 76, 184, 82, 190, 45, 153, 67, 175, 34, 142, 16, 124)(9, 117, 19, 127, 40, 148, 72, 180, 37, 145, 71, 179, 66, 174, 47, 155, 84, 192, 79, 187, 42, 150, 20, 128)(11, 119, 23, 131, 48, 156, 85, 193, 78, 186, 41, 149, 77, 185, 93, 201, 59, 167, 86, 194, 50, 158, 24, 132)(13, 121, 27, 135, 55, 163, 89, 197, 52, 160, 88, 196, 62, 170, 31, 139, 61, 169, 92, 200, 57, 165, 28, 136)(17, 125, 35, 143, 29, 137, 58, 166, 87, 195, 51, 159, 25, 133, 44, 152, 21, 129, 43, 151, 70, 178, 36, 144)(33, 141, 64, 172, 54, 162, 80, 188, 95, 203, 105, 213, 98, 206, 68, 176, 97, 205, 106, 214, 96, 204, 65, 173)(39, 147, 74, 182, 103, 211, 108, 216, 101, 209, 81, 189, 104, 212, 107, 215, 99, 207, 69, 177, 49, 157, 75, 183)
	L = (1, 110)(2, 109)(3, 115)(4, 117)(5, 119)(6, 121)(7, 111)(8, 125)(9, 112)(10, 129)(11, 113)(12, 133)(13, 114)(14, 137)(15, 139)(16, 141)(17, 116)(18, 145)(19, 147)(20, 149)(21, 118)(22, 153)(23, 155)(24, 157)(25, 120)(26, 160)(27, 162)(28, 164)(29, 122)(30, 167)(31, 123)(32, 150)(33, 124)(34, 174)(35, 176)(36, 177)(37, 126)(38, 161)(39, 127)(40, 184)(41, 128)(42, 140)(43, 188)(44, 189)(45, 130)(46, 168)(47, 131)(48, 165)(49, 132)(50, 170)(51, 173)(52, 134)(53, 146)(54, 135)(55, 185)(56, 136)(57, 156)(58, 182)(59, 138)(60, 154)(61, 202)(62, 158)(63, 203)(64, 183)(65, 159)(66, 142)(67, 197)(68, 143)(69, 144)(70, 208)(71, 209)(72, 194)(73, 199)(74, 166)(75, 172)(76, 148)(77, 163)(78, 198)(79, 207)(80, 151)(81, 152)(82, 205)(83, 192)(84, 191)(85, 211)(86, 180)(87, 210)(88, 206)(89, 175)(90, 186)(91, 181)(92, 204)(93, 212)(94, 169)(95, 171)(96, 200)(97, 190)(98, 196)(99, 187)(100, 178)(101, 179)(102, 195)(103, 193)(104, 201)(105, 216)(106, 215)(107, 214)(108, 213)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1946
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 63
	degree seq :: [ 24^9 ]

E19.1948 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, R * Y2^-1 * R * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2)^3, (Y2^-3 * R * Y2^-1)^2, Y2^-4 * Y1 * Y2^4 * Y1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1, Y2^4 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 11, 119)(6, 114, 13, 121)(8, 116, 17, 125)(10, 118, 21, 129)(12, 120, 25, 133)(14, 122, 29, 137)(15, 123, 31, 139)(16, 124, 33, 141)(18, 126, 37, 145)(19, 127, 39, 147)(20, 128, 41, 149)(22, 130, 45, 153)(23, 131, 47, 155)(24, 132, 49, 157)(26, 134, 52, 160)(27, 135, 54, 162)(28, 136, 56, 164)(30, 138, 59, 167)(32, 140, 42, 150)(34, 142, 66, 174)(35, 143, 68, 176)(36, 144, 69, 177)(38, 146, 53, 161)(40, 148, 76, 184)(43, 151, 80, 188)(44, 152, 81, 189)(46, 154, 60, 168)(48, 156, 57, 165)(50, 158, 62, 170)(51, 159, 65, 173)(55, 163, 77, 185)(58, 166, 74, 182)(61, 169, 94, 202)(63, 171, 95, 203)(64, 172, 75, 183)(67, 175, 89, 197)(70, 178, 100, 208)(71, 179, 101, 209)(72, 180, 86, 194)(73, 181, 91, 199)(78, 186, 90, 198)(79, 187, 99, 207)(82, 190, 97, 205)(83, 191, 84, 192)(85, 193, 103, 211)(87, 195, 102, 210)(88, 196, 98, 206)(92, 200, 96, 204)(93, 201, 104, 212)(105, 213, 108, 216)(106, 214, 107, 215)(217, 325, 219, 327, 224, 332, 234, 342, 254, 362, 289, 397, 318, 426, 299, 407, 262, 370, 238, 346, 226, 334, 220, 328)(218, 326, 221, 329, 228, 336, 242, 350, 269, 377, 306, 414, 316, 424, 310, 418, 276, 384, 246, 354, 230, 338, 222, 330)(223, 331, 231, 339, 248, 356, 279, 387, 307, 415, 272, 380, 292, 400, 298, 406, 261, 369, 283, 391, 250, 358, 232, 340)(225, 333, 235, 343, 256, 364, 288, 396, 253, 361, 287, 395, 282, 390, 263, 371, 300, 408, 295, 403, 258, 366, 236, 344)(227, 335, 239, 347, 264, 372, 301, 409, 294, 402, 257, 365, 293, 401, 309, 417, 275, 383, 302, 410, 266, 374, 240, 348)(229, 337, 243, 351, 271, 379, 305, 413, 268, 376, 304, 412, 278, 386, 247, 355, 277, 385, 308, 416, 273, 381, 244, 352)(233, 341, 251, 359, 245, 353, 274, 382, 303, 411, 267, 375, 241, 349, 260, 368, 237, 345, 259, 367, 286, 394, 252, 360)(249, 357, 280, 388, 270, 378, 296, 404, 311, 419, 321, 429, 314, 422, 284, 392, 313, 421, 322, 430, 312, 420, 281, 389)(255, 363, 290, 398, 319, 427, 324, 432, 317, 425, 297, 405, 320, 428, 323, 431, 315, 423, 285, 393, 265, 373, 291, 399)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 241)(13, 222)(14, 245)(15, 247)(16, 249)(17, 224)(18, 253)(19, 255)(20, 257)(21, 226)(22, 261)(23, 263)(24, 265)(25, 228)(26, 268)(27, 270)(28, 272)(29, 230)(30, 275)(31, 231)(32, 258)(33, 232)(34, 282)(35, 284)(36, 285)(37, 234)(38, 269)(39, 235)(40, 292)(41, 236)(42, 248)(43, 296)(44, 297)(45, 238)(46, 276)(47, 239)(48, 273)(49, 240)(50, 278)(51, 281)(52, 242)(53, 254)(54, 243)(55, 293)(56, 244)(57, 264)(58, 290)(59, 246)(60, 262)(61, 310)(62, 266)(63, 311)(64, 291)(65, 267)(66, 250)(67, 305)(68, 251)(69, 252)(70, 316)(71, 317)(72, 302)(73, 307)(74, 274)(75, 280)(76, 256)(77, 271)(78, 306)(79, 315)(80, 259)(81, 260)(82, 313)(83, 300)(84, 299)(85, 319)(86, 288)(87, 318)(88, 314)(89, 283)(90, 294)(91, 289)(92, 312)(93, 320)(94, 277)(95, 279)(96, 308)(97, 298)(98, 304)(99, 295)(100, 286)(101, 287)(102, 303)(103, 301)(104, 309)(105, 324)(106, 323)(107, 322)(108, 321)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 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 E19.1949
Graph:: bipartite
	v = 63 e = 216 f = 117
	degree seq :: [ 4^54, 24^9 ]

E19.1949 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y1 * Y3 * Y1)^3, Y1^-1 * Y3 * Y1^4 * Y3 * Y1^-3, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 * Y3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-5 * Y3 * Y1^-1, Y1^12 ]
Map::
	R = (1, 109, 2, 110, 5, 113, 11, 119, 23, 131, 47, 155, 84, 192, 83, 191, 46, 154, 22, 130, 10, 118, 4, 112)(3, 111, 7, 115, 15, 123, 31, 139, 48, 156, 86, 194, 92, 200, 95, 203, 73, 181, 38, 146, 18, 126, 8, 116)(6, 114, 13, 121, 27, 135, 54, 162, 85, 193, 69, 177, 74, 182, 82, 190, 45, 153, 60, 168, 30, 138, 14, 122)(9, 117, 19, 127, 39, 147, 50, 158, 24, 132, 49, 157, 59, 167, 64, 172, 101, 209, 79, 187, 42, 150, 20, 128)(12, 120, 25, 133, 37, 145, 71, 179, 99, 207, 62, 170, 32, 140, 44, 152, 21, 129, 43, 151, 53, 161, 26, 134)(16, 124, 33, 141, 63, 171, 100, 208, 78, 186, 41, 149, 77, 185, 102, 210, 72, 180, 88, 196, 66, 174, 34, 142)(17, 125, 35, 143, 67, 175, 98, 206, 61, 169, 96, 204, 56, 164, 28, 136, 55, 163, 94, 202, 70, 178, 36, 144)(29, 137, 57, 165, 68, 176, 80, 188, 93, 201, 107, 215, 90, 198, 51, 159, 89, 197, 106, 214, 97, 205, 58, 166)(40, 148, 75, 183, 103, 211, 105, 213, 87, 195, 81, 189, 104, 212, 108, 216, 91, 199, 52, 160, 65, 173, 76, 184)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 222)(3, 217)(4, 225)(5, 228)(6, 218)(7, 232)(8, 233)(9, 220)(10, 237)(11, 240)(12, 221)(13, 244)(14, 245)(15, 248)(16, 223)(17, 224)(18, 253)(19, 256)(20, 257)(21, 226)(22, 261)(23, 264)(24, 227)(25, 267)(26, 268)(27, 258)(28, 229)(29, 230)(30, 275)(31, 277)(32, 231)(33, 280)(34, 281)(35, 284)(36, 285)(37, 234)(38, 288)(39, 290)(40, 235)(41, 236)(42, 243)(43, 296)(44, 297)(45, 238)(46, 289)(47, 301)(48, 239)(49, 303)(50, 304)(51, 241)(52, 242)(53, 308)(54, 309)(55, 311)(56, 282)(57, 292)(58, 278)(59, 246)(60, 314)(61, 247)(62, 274)(63, 286)(64, 249)(65, 250)(66, 272)(67, 293)(68, 251)(69, 252)(70, 279)(71, 291)(72, 254)(73, 262)(74, 255)(75, 287)(76, 273)(77, 283)(78, 302)(79, 307)(80, 259)(81, 260)(82, 305)(83, 317)(84, 315)(85, 263)(86, 294)(87, 265)(88, 266)(89, 298)(90, 312)(91, 295)(92, 269)(93, 270)(94, 313)(95, 271)(96, 306)(97, 310)(98, 276)(99, 300)(100, 319)(101, 299)(102, 320)(103, 316)(104, 318)(105, 323)(106, 324)(107, 321)(108, 322)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 24 ), ( 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 E19.1948
Graph:: simple bipartite
	v = 117 e = 216 f = 63
	degree seq :: [ 2^108, 24^9 ]

E19.1950 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 12})
Quotient :: regular
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1)^3, T1 * T2 * T1 * T2 * T1^-3 * T2 * T1 * T2, T1^4 * T2 * T1^-4 * T2, (T2 * T1 * T2 * T1^-1)^3, T1^12 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 76, 75, 46, 22, 10, 4)(3, 7, 15, 31, 48, 78, 83, 97, 69, 38, 18, 8)(6, 13, 27, 54, 77, 98, 70, 74, 45, 60, 30, 14)(9, 19, 39, 50, 24, 49, 59, 88, 101, 72, 42, 20)(12, 25, 37, 67, 90, 61, 32, 44, 21, 43, 53, 26)(16, 33, 62, 91, 103, 105, 85, 96, 68, 41, 64, 34)(17, 35, 56, 28, 55, 84, 93, 107, 108, 95, 66, 36)(29, 57, 81, 51, 80, 94, 65, 89, 102, 106, 87, 58)(40, 52, 82, 104, 79, 92, 63, 86, 100, 73, 99, 71)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 51)(26, 52)(27, 42)(30, 59)(31, 55)(33, 50)(34, 63)(35, 65)(36, 60)(38, 68)(39, 70)(43, 58)(44, 73)(46, 69)(47, 77)(49, 79)(53, 83)(54, 80)(56, 85)(57, 86)(61, 89)(62, 66)(64, 93)(67, 92)(71, 94)(72, 100)(74, 102)(75, 101)(76, 90)(78, 103)(81, 95)(82, 96)(84, 87)(88, 105)(91, 99)(97, 108)(98, 107)(104, 106)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 9 e = 54 f = 9
	degree seq :: [ 12^9 ]

E19.1951 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 12})
Quotient :: edge
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T1 * T2^-2)^3, T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-3, (T2 * T1 * T2^-1 * T1)^3, T2^12 ]
Map::
	R = (1, 3, 8, 18, 38, 69, 97, 75, 46, 22, 10, 4)(2, 5, 12, 26, 53, 83, 95, 88, 60, 30, 14, 6)(7, 15, 32, 61, 90, 99, 71, 74, 45, 56, 34, 16)(9, 19, 40, 47, 37, 68, 64, 93, 101, 72, 42, 20)(11, 23, 48, 76, 103, 105, 85, 87, 59, 41, 50, 24)(13, 27, 55, 31, 52, 82, 79, 104, 106, 86, 57, 28)(17, 35, 29, 58, 81, 51, 25, 44, 21, 43, 67, 36)(33, 62, 91, 65, 89, 84, 54, 80, 102, 107, 92, 63)(39, 66, 94, 108, 96, 78, 49, 77, 100, 73, 98, 70)(109, 110)(111, 115)(112, 117)(113, 119)(114, 121)(116, 125)(118, 129)(120, 133)(122, 137)(123, 139)(124, 141)(126, 145)(127, 147)(128, 149)(130, 153)(131, 155)(132, 157)(134, 160)(135, 162)(136, 164)(138, 167)(140, 150)(142, 172)(143, 173)(144, 174)(146, 161)(148, 179)(151, 171)(152, 181)(154, 168)(156, 165)(158, 187)(159, 188)(163, 193)(166, 186)(169, 197)(170, 185)(175, 203)(176, 204)(177, 198)(178, 192)(180, 208)(182, 210)(183, 209)(184, 206)(189, 205)(190, 200)(191, 211)(194, 199)(195, 202)(196, 214)(201, 213)(207, 212)(215, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E19.1952
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 108 f = 9
	degree seq :: [ 2^54, 12^9 ]

E19.1952 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 12})
Quotient :: loop
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T1 * T2^-2)^3, T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-3, (T2 * T1 * T2^-1 * T1)^3, T2^12 ]
Map::
	R = (1, 109, 3, 111, 8, 116, 18, 126, 38, 146, 69, 177, 97, 205, 75, 183, 46, 154, 22, 130, 10, 118, 4, 112)(2, 110, 5, 113, 12, 120, 26, 134, 53, 161, 83, 191, 95, 203, 88, 196, 60, 168, 30, 138, 14, 122, 6, 114)(7, 115, 15, 123, 32, 140, 61, 169, 90, 198, 99, 207, 71, 179, 74, 182, 45, 153, 56, 164, 34, 142, 16, 124)(9, 117, 19, 127, 40, 148, 47, 155, 37, 145, 68, 176, 64, 172, 93, 201, 101, 209, 72, 180, 42, 150, 20, 128)(11, 119, 23, 131, 48, 156, 76, 184, 103, 211, 105, 213, 85, 193, 87, 195, 59, 167, 41, 149, 50, 158, 24, 132)(13, 121, 27, 135, 55, 163, 31, 139, 52, 160, 82, 190, 79, 187, 104, 212, 106, 214, 86, 194, 57, 165, 28, 136)(17, 125, 35, 143, 29, 137, 58, 166, 81, 189, 51, 159, 25, 133, 44, 152, 21, 129, 43, 151, 67, 175, 36, 144)(33, 141, 62, 170, 91, 199, 65, 173, 89, 197, 84, 192, 54, 162, 80, 188, 102, 210, 107, 215, 92, 200, 63, 171)(39, 147, 66, 174, 94, 202, 108, 216, 96, 204, 78, 186, 49, 157, 77, 185, 100, 208, 73, 181, 98, 206, 70, 178)
	L = (1, 110)(2, 109)(3, 115)(4, 117)(5, 119)(6, 121)(7, 111)(8, 125)(9, 112)(10, 129)(11, 113)(12, 133)(13, 114)(14, 137)(15, 139)(16, 141)(17, 116)(18, 145)(19, 147)(20, 149)(21, 118)(22, 153)(23, 155)(24, 157)(25, 120)(26, 160)(27, 162)(28, 164)(29, 122)(30, 167)(31, 123)(32, 150)(33, 124)(34, 172)(35, 173)(36, 174)(37, 126)(38, 161)(39, 127)(40, 179)(41, 128)(42, 140)(43, 171)(44, 181)(45, 130)(46, 168)(47, 131)(48, 165)(49, 132)(50, 187)(51, 188)(52, 134)(53, 146)(54, 135)(55, 193)(56, 136)(57, 156)(58, 186)(59, 138)(60, 154)(61, 197)(62, 185)(63, 151)(64, 142)(65, 143)(66, 144)(67, 203)(68, 204)(69, 198)(70, 192)(71, 148)(72, 208)(73, 152)(74, 210)(75, 209)(76, 206)(77, 170)(78, 166)(79, 158)(80, 159)(81, 205)(82, 200)(83, 211)(84, 178)(85, 163)(86, 199)(87, 202)(88, 214)(89, 169)(90, 177)(91, 194)(92, 190)(93, 213)(94, 195)(95, 175)(96, 176)(97, 189)(98, 184)(99, 212)(100, 180)(101, 183)(102, 182)(103, 191)(104, 207)(105, 201)(106, 196)(107, 216)(108, 215)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.1951
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 63
	degree seq :: [ 24^9 ]

E19.1953 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (R * Y2^2 * Y1)^2, (Y2 * Y1 * Y2)^3, Y1 * Y2^-3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y1 * Y2^4 * Y1 * Y2^-4, Y2^-1 * Y1 * Y2^-1 * R * Y2^-3 * R * Y2^-1 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^3, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 11, 119)(6, 114, 13, 121)(8, 116, 17, 125)(10, 118, 21, 129)(12, 120, 25, 133)(14, 122, 29, 137)(15, 123, 31, 139)(16, 124, 33, 141)(18, 126, 37, 145)(19, 127, 39, 147)(20, 128, 41, 149)(22, 130, 45, 153)(23, 131, 47, 155)(24, 132, 49, 157)(26, 134, 52, 160)(27, 135, 54, 162)(28, 136, 56, 164)(30, 138, 59, 167)(32, 140, 42, 150)(34, 142, 64, 172)(35, 143, 65, 173)(36, 144, 66, 174)(38, 146, 53, 161)(40, 148, 71, 179)(43, 151, 63, 171)(44, 152, 73, 181)(46, 154, 60, 168)(48, 156, 57, 165)(50, 158, 79, 187)(51, 159, 80, 188)(55, 163, 85, 193)(58, 166, 78, 186)(61, 169, 89, 197)(62, 170, 77, 185)(67, 175, 95, 203)(68, 176, 96, 204)(69, 177, 90, 198)(70, 178, 84, 192)(72, 180, 100, 208)(74, 182, 102, 210)(75, 183, 101, 209)(76, 184, 98, 206)(81, 189, 97, 205)(82, 190, 92, 200)(83, 191, 103, 211)(86, 194, 91, 199)(87, 195, 94, 202)(88, 196, 106, 214)(93, 201, 105, 213)(99, 207, 104, 212)(107, 215, 108, 216)(217, 325, 219, 327, 224, 332, 234, 342, 254, 362, 285, 393, 313, 421, 291, 399, 262, 370, 238, 346, 226, 334, 220, 328)(218, 326, 221, 329, 228, 336, 242, 350, 269, 377, 299, 407, 311, 419, 304, 412, 276, 384, 246, 354, 230, 338, 222, 330)(223, 331, 231, 339, 248, 356, 277, 385, 306, 414, 315, 423, 287, 395, 290, 398, 261, 369, 272, 380, 250, 358, 232, 340)(225, 333, 235, 343, 256, 364, 263, 371, 253, 361, 284, 392, 280, 388, 309, 417, 317, 425, 288, 396, 258, 366, 236, 344)(227, 335, 239, 347, 264, 372, 292, 400, 319, 427, 321, 429, 301, 409, 303, 411, 275, 383, 257, 365, 266, 374, 240, 348)(229, 337, 243, 351, 271, 379, 247, 355, 268, 376, 298, 406, 295, 403, 320, 428, 322, 430, 302, 410, 273, 381, 244, 352)(233, 341, 251, 359, 245, 353, 274, 382, 297, 405, 267, 375, 241, 349, 260, 368, 237, 345, 259, 367, 283, 391, 252, 360)(249, 357, 278, 386, 307, 415, 281, 389, 305, 413, 300, 408, 270, 378, 296, 404, 318, 426, 323, 431, 308, 416, 279, 387)(255, 363, 282, 390, 310, 418, 324, 432, 312, 420, 294, 402, 265, 373, 293, 401, 316, 424, 289, 397, 314, 422, 286, 394)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 241)(13, 222)(14, 245)(15, 247)(16, 249)(17, 224)(18, 253)(19, 255)(20, 257)(21, 226)(22, 261)(23, 263)(24, 265)(25, 228)(26, 268)(27, 270)(28, 272)(29, 230)(30, 275)(31, 231)(32, 258)(33, 232)(34, 280)(35, 281)(36, 282)(37, 234)(38, 269)(39, 235)(40, 287)(41, 236)(42, 248)(43, 279)(44, 289)(45, 238)(46, 276)(47, 239)(48, 273)(49, 240)(50, 295)(51, 296)(52, 242)(53, 254)(54, 243)(55, 301)(56, 244)(57, 264)(58, 294)(59, 246)(60, 262)(61, 305)(62, 293)(63, 259)(64, 250)(65, 251)(66, 252)(67, 311)(68, 312)(69, 306)(70, 300)(71, 256)(72, 316)(73, 260)(74, 318)(75, 317)(76, 314)(77, 278)(78, 274)(79, 266)(80, 267)(81, 313)(82, 308)(83, 319)(84, 286)(85, 271)(86, 307)(87, 310)(88, 322)(89, 277)(90, 285)(91, 302)(92, 298)(93, 321)(94, 303)(95, 283)(96, 284)(97, 297)(98, 292)(99, 320)(100, 288)(101, 291)(102, 290)(103, 299)(104, 315)(105, 309)(106, 304)(107, 324)(108, 323)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 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 E19.1954
Graph:: bipartite
	v = 63 e = 216 f = 117
	degree seq :: [ 4^54, 24^9 ]

E19.1954 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y1^2 * Y3)^3, Y1 * Y3 * Y1 * Y3 * Y1^-3 * Y3 * Y1 * Y3, Y3 * Y1^4 * Y3 * Y1^-4, (Y1^-1 * Y3 * Y1 * Y3)^3, Y1^12 ]
Map::
	R = (1, 109, 2, 110, 5, 113, 11, 119, 23, 131, 47, 155, 76, 184, 75, 183, 46, 154, 22, 130, 10, 118, 4, 112)(3, 111, 7, 115, 15, 123, 31, 139, 48, 156, 78, 186, 83, 191, 97, 205, 69, 177, 38, 146, 18, 126, 8, 116)(6, 114, 13, 121, 27, 135, 54, 162, 77, 185, 98, 206, 70, 178, 74, 182, 45, 153, 60, 168, 30, 138, 14, 122)(9, 117, 19, 127, 39, 147, 50, 158, 24, 132, 49, 157, 59, 167, 88, 196, 101, 209, 72, 180, 42, 150, 20, 128)(12, 120, 25, 133, 37, 145, 67, 175, 90, 198, 61, 169, 32, 140, 44, 152, 21, 129, 43, 151, 53, 161, 26, 134)(16, 124, 33, 141, 62, 170, 91, 199, 103, 211, 105, 213, 85, 193, 96, 204, 68, 176, 41, 149, 64, 172, 34, 142)(17, 125, 35, 143, 56, 164, 28, 136, 55, 163, 84, 192, 93, 201, 107, 215, 108, 216, 95, 203, 66, 174, 36, 144)(29, 137, 57, 165, 81, 189, 51, 159, 80, 188, 94, 202, 65, 173, 89, 197, 102, 210, 106, 214, 87, 195, 58, 166)(40, 148, 52, 160, 82, 190, 104, 212, 79, 187, 92, 200, 63, 171, 86, 194, 100, 208, 73, 181, 99, 207, 71, 179)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 222)(3, 217)(4, 225)(5, 228)(6, 218)(7, 232)(8, 233)(9, 220)(10, 237)(11, 240)(12, 221)(13, 244)(14, 245)(15, 248)(16, 223)(17, 224)(18, 253)(19, 256)(20, 257)(21, 226)(22, 261)(23, 264)(24, 227)(25, 267)(26, 268)(27, 258)(28, 229)(29, 230)(30, 275)(31, 271)(32, 231)(33, 266)(34, 279)(35, 281)(36, 276)(37, 234)(38, 284)(39, 286)(40, 235)(41, 236)(42, 243)(43, 274)(44, 289)(45, 238)(46, 285)(47, 293)(48, 239)(49, 295)(50, 249)(51, 241)(52, 242)(53, 299)(54, 296)(55, 247)(56, 301)(57, 302)(58, 259)(59, 246)(60, 252)(61, 305)(62, 282)(63, 250)(64, 309)(65, 251)(66, 278)(67, 308)(68, 254)(69, 262)(70, 255)(71, 310)(72, 316)(73, 260)(74, 318)(75, 317)(76, 306)(77, 263)(78, 319)(79, 265)(80, 270)(81, 311)(82, 312)(83, 269)(84, 303)(85, 272)(86, 273)(87, 300)(88, 321)(89, 277)(90, 292)(91, 315)(92, 283)(93, 280)(94, 287)(95, 297)(96, 298)(97, 324)(98, 323)(99, 307)(100, 288)(101, 291)(102, 290)(103, 294)(104, 322)(105, 304)(106, 320)(107, 314)(108, 313)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 24 ), ( 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 E19.1953
Graph:: simple bipartite
	v = 117 e = 216 f = 63
	degree seq :: [ 2^108, 24^9 ]

E19.1955 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 57})
Quotient :: regular
Aut^+ = C3 x D38 (small group id <114, 4>)
Aut   = S3 x D38 (small group id <228, 8>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-3)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^7 * T2 * T1^-11 * T2 * T1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 77, 89, 101, 108, 97, 84, 72, 61, 48, 32, 45, 34, 17, 29, 43, 56, 68, 80, 92, 104, 113, 114, 109, 96, 85, 73, 60, 49, 33, 16, 28, 42, 35, 46, 58, 70, 82, 94, 106, 112, 100, 88, 76, 64, 52, 38, 22, 10, 4)(3, 7, 15, 31, 47, 59, 71, 83, 95, 107, 103, 90, 81, 67, 54, 44, 26, 12, 25, 20, 9, 19, 36, 50, 62, 74, 86, 98, 110, 105, 91, 78, 69, 55, 40, 30, 14, 6, 13, 27, 21, 37, 51, 63, 75, 87, 99, 111, 102, 93, 79, 66, 57, 41, 24, 18, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 31)(23, 40)(25, 42)(26, 43)(27, 45)(30, 46)(36, 48)(37, 49)(38, 50)(39, 54)(41, 56)(44, 58)(47, 60)(51, 61)(52, 63)(53, 66)(55, 68)(57, 70)(59, 72)(62, 73)(64, 71)(65, 78)(67, 80)(69, 82)(74, 84)(75, 85)(76, 86)(77, 90)(79, 92)(81, 94)(83, 96)(87, 97)(88, 99)(89, 102)(91, 104)(93, 106)(95, 108)(98, 109)(100, 107)(101, 110)(103, 113)(105, 112)(111, 114)
	local type(s) :: { ( 6^57 ) }
Outer automorphisms :: reflexible
Dual of E19.1956
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 57 f = 19
	degree seq :: [ 57^2 ]

E19.1956 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 57})
Quotient :: regular
Aut^+ = C3 x D38 (small group id <114, 4>)
Aut   = S3 x D38 (small group id <228, 8>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^6, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 12, 20, 17, 8)(6, 13, 19, 18, 9, 14)(15, 23, 27, 25, 16, 24)(21, 28, 26, 30, 22, 29)(31, 37, 33, 39, 32, 38)(34, 40, 36, 42, 35, 41)(43, 49, 45, 51, 44, 50)(46, 76, 48, 78, 47, 77)(52, 82, 55, 87, 58, 83)(53, 84, 59, 86, 54, 85)(56, 88, 63, 90, 57, 89)(60, 91, 62, 93, 61, 92)(64, 94, 66, 96, 65, 95)(67, 97, 69, 99, 68, 98)(70, 100, 72, 102, 71, 101)(73, 103, 75, 105, 74, 104)(79, 109, 81, 111, 80, 110)(106, 113, 108, 112, 107, 114)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 52)(50, 58)(51, 55)(53, 76)(54, 77)(56, 82)(57, 83)(59, 78)(60, 84)(61, 85)(62, 86)(63, 87)(64, 88)(65, 89)(66, 90)(67, 91)(68, 92)(69, 93)(70, 94)(71, 95)(72, 96)(73, 97)(74, 98)(75, 99)(79, 100)(80, 101)(81, 102)(103, 106)(104, 107)(105, 108)(109, 112)(110, 113)(111, 114)
	local type(s) :: { ( 57^6 ) }
Outer automorphisms :: reflexible
Dual of E19.1955
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 19 e = 57 f = 2
	degree seq :: [ 6^19 ]

E19.1957 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 57})
Quotient :: edge
Aut^+ = C3 x D38 (small group id <114, 4>)
Aut   = S3 x D38 (small group id <228, 8>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^6, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * 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 * T1, (T2^-1 * T1)^57 ]
Map::
	R = (1, 3, 8, 17, 10, 4)(2, 5, 12, 21, 14, 6)(7, 15, 24, 18, 9, 16)(11, 19, 28, 22, 13, 20)(23, 31, 26, 33, 25, 32)(27, 34, 30, 36, 29, 35)(37, 43, 39, 45, 38, 44)(40, 46, 42, 48, 41, 47)(49, 70, 51, 73, 50, 71)(52, 95, 59, 108, 61, 96)(53, 98, 63, 112, 65, 99)(54, 100, 68, 102, 55, 101)(56, 103, 72, 105, 57, 104)(58, 107, 75, 110, 60, 94)(62, 111, 79, 113, 64, 97)(66, 90, 69, 89, 67, 88)(74, 114, 77, 109, 76, 106)(78, 93, 81, 92, 80, 91)(82, 86, 84, 85, 83, 87)(115, 116)(117, 121)(118, 123)(119, 125)(120, 127)(122, 126)(124, 128)(129, 137)(130, 139)(131, 138)(132, 140)(133, 141)(134, 143)(135, 142)(136, 144)(145, 151)(146, 152)(147, 153)(148, 154)(149, 155)(150, 156)(157, 163)(158, 164)(159, 165)(160, 202)(161, 203)(162, 204)(166, 208)(167, 211)(168, 212)(169, 213)(170, 209)(171, 210)(172, 220)(173, 221)(174, 223)(175, 224)(176, 205)(177, 225)(178, 206)(179, 227)(180, 214)(181, 215)(182, 226)(183, 216)(184, 217)(185, 218)(186, 222)(187, 219)(188, 201)(189, 228)(190, 199)(191, 200)(192, 198)(193, 207)(194, 196)(195, 197)
	L = (1, 115)(2, 116)(3, 117)(4, 118)(5, 119)(6, 120)(7, 121)(8, 122)(9, 123)(10, 124)(11, 125)(12, 126)(13, 127)(14, 128)(15, 129)(16, 130)(17, 131)(18, 132)(19, 133)(20, 134)(21, 135)(22, 136)(23, 137)(24, 138)(25, 139)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 161)(48, 162)(49, 163)(50, 164)(51, 165)(52, 166)(53, 167)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 114, 114 ), ( 114^6 ) }
Outer automorphisms :: reflexible
Dual of E19.1961
Transitivity :: ET+
Graph:: simple bipartite
	v = 76 e = 114 f = 2
	degree seq :: [ 2^57, 6^19 ]

E19.1958 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 57})
Quotient :: edge
Aut^+ = C3 x D38 (small group id <114, 4>)
Aut   = S3 x D38 (small group id <228, 8>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^3 * T2 * T1^-1 * T2, (T2^-1 * T1 * T2^-1)^2, T1 * T2^2 * T1^-1 * T2^-17 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 73, 85, 97, 109, 102, 90, 78, 66, 54, 42, 30, 18, 6, 17, 29, 41, 53, 65, 77, 89, 101, 113, 114, 103, 91, 79, 67, 55, 43, 31, 20, 13, 21, 33, 45, 57, 69, 81, 93, 105, 112, 100, 88, 76, 64, 52, 40, 28, 15, 5)(2, 7, 19, 32, 44, 56, 68, 80, 92, 104, 108, 96, 84, 72, 60, 48, 36, 24, 11, 16, 14, 27, 39, 51, 63, 75, 87, 99, 111, 107, 95, 83, 71, 59, 47, 35, 23, 9, 4, 12, 26, 38, 50, 62, 74, 86, 98, 110, 106, 94, 82, 70, 58, 46, 34, 22, 8)(115, 116, 120, 130, 127, 118)(117, 123, 131, 122, 135, 125)(119, 128, 132, 126, 134, 121)(124, 138, 143, 137, 147, 136)(129, 140, 144, 133, 145, 141)(139, 148, 155, 150, 159, 149)(142, 146, 156, 153, 157, 152)(151, 161, 167, 160, 171, 162)(154, 165, 168, 164, 169, 158)(163, 174, 179, 173, 183, 172)(166, 176, 180, 170, 181, 177)(175, 184, 191, 186, 195, 185)(178, 182, 192, 189, 193, 188)(187, 197, 203, 196, 207, 198)(190, 201, 204, 200, 205, 194)(199, 210, 215, 209, 219, 208)(202, 212, 216, 206, 217, 213)(211, 220, 227, 222, 226, 221)(214, 218, 223, 225, 228, 224)
	L = (1, 115)(2, 116)(3, 117)(4, 118)(5, 119)(6, 120)(7, 121)(8, 122)(9, 123)(10, 124)(11, 125)(12, 126)(13, 127)(14, 128)(15, 129)(16, 130)(17, 131)(18, 132)(19, 133)(20, 134)(21, 135)(22, 136)(23, 137)(24, 138)(25, 139)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 161)(48, 162)(49, 163)(50, 164)(51, 165)(52, 166)(53, 167)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 4^6 ), ( 4^57 ) }
Outer automorphisms :: reflexible
Dual of E19.1962
Transitivity :: ET+
Graph:: bipartite
	v = 21 e = 114 f = 57
	degree seq :: [ 6^19, 57^2 ]

E19.1959 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 57})
Quotient :: edge
Aut^+ = C3 x D38 (small group id <114, 4>)
Aut   = S3 x D38 (small group id <228, 8>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-3)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^7 * T2 * T1^-11 * T2 * T1 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 31)(23, 40)(25, 42)(26, 43)(27, 45)(30, 46)(36, 48)(37, 49)(38, 50)(39, 54)(41, 56)(44, 58)(47, 60)(51, 61)(52, 63)(53, 66)(55, 68)(57, 70)(59, 72)(62, 73)(64, 71)(65, 78)(67, 80)(69, 82)(74, 84)(75, 85)(76, 86)(77, 90)(79, 92)(81, 94)(83, 96)(87, 97)(88, 99)(89, 102)(91, 104)(93, 106)(95, 108)(98, 109)(100, 107)(101, 110)(103, 113)(105, 112)(111, 114)(115, 116, 119, 125, 137, 153, 167, 179, 191, 203, 215, 222, 211, 198, 186, 175, 162, 146, 159, 148, 131, 143, 157, 170, 182, 194, 206, 218, 227, 228, 223, 210, 199, 187, 174, 163, 147, 130, 142, 156, 149, 160, 172, 184, 196, 208, 220, 226, 214, 202, 190, 178, 166, 152, 136, 124, 118)(117, 121, 129, 145, 161, 173, 185, 197, 209, 221, 217, 204, 195, 181, 168, 158, 140, 126, 139, 134, 123, 133, 150, 164, 176, 188, 200, 212, 224, 219, 205, 192, 183, 169, 154, 144, 128, 120, 127, 141, 135, 151, 165, 177, 189, 201, 213, 225, 216, 207, 193, 180, 171, 155, 138, 132, 122)
	L = (1, 115)(2, 116)(3, 117)(4, 118)(5, 119)(6, 120)(7, 121)(8, 122)(9, 123)(10, 124)(11, 125)(12, 126)(13, 127)(14, 128)(15, 129)(16, 130)(17, 131)(18, 132)(19, 133)(20, 134)(21, 135)(22, 136)(23, 137)(24, 138)(25, 139)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 161)(48, 162)(49, 163)(50, 164)(51, 165)(52, 166)(53, 167)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 12, 12 ), ( 12^57 ) }
Outer automorphisms :: reflexible
Dual of E19.1960
Transitivity :: ET+
Graph:: simple bipartite
	v = 59 e = 114 f = 19
	degree seq :: [ 2^57, 57^2 ]

E19.1960 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 57})
Quotient :: loop
Aut^+ = C3 x D38 (small group id <114, 4>)
Aut   = S3 x D38 (small group id <228, 8>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^6, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * 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 * T1, (T2^-1 * T1)^57 ]
Map::
	R = (1, 115, 3, 117, 8, 122, 17, 131, 10, 124, 4, 118)(2, 116, 5, 119, 12, 126, 21, 135, 14, 128, 6, 120)(7, 121, 15, 129, 24, 138, 18, 132, 9, 123, 16, 130)(11, 125, 19, 133, 28, 142, 22, 136, 13, 127, 20, 134)(23, 137, 31, 145, 26, 140, 33, 147, 25, 139, 32, 146)(27, 141, 34, 148, 30, 144, 36, 150, 29, 143, 35, 149)(37, 151, 43, 157, 39, 153, 45, 159, 38, 152, 44, 158)(40, 154, 46, 160, 42, 156, 48, 162, 41, 155, 47, 161)(49, 163, 85, 199, 51, 165, 87, 201, 50, 164, 86, 200)(52, 166, 89, 203, 59, 173, 100, 214, 61, 175, 90, 204)(53, 167, 91, 205, 62, 176, 102, 216, 63, 177, 92, 206)(54, 168, 93, 207, 66, 180, 95, 209, 55, 169, 94, 208)(56, 170, 96, 210, 70, 184, 98, 212, 57, 171, 97, 211)(58, 172, 99, 213, 72, 186, 101, 215, 60, 174, 88, 202)(64, 178, 103, 217, 67, 181, 105, 219, 65, 179, 104, 218)(68, 182, 106, 220, 71, 185, 108, 222, 69, 183, 107, 221)(73, 187, 109, 223, 75, 189, 111, 225, 74, 188, 110, 224)(76, 190, 112, 226, 78, 192, 114, 228, 77, 191, 113, 227)(79, 193, 83, 197, 81, 195, 82, 196, 80, 194, 84, 198)
	L = (1, 116)(2, 115)(3, 121)(4, 123)(5, 125)(6, 127)(7, 117)(8, 126)(9, 118)(10, 128)(11, 119)(12, 122)(13, 120)(14, 124)(15, 137)(16, 139)(17, 138)(18, 140)(19, 141)(20, 143)(21, 142)(22, 144)(23, 129)(24, 131)(25, 130)(26, 132)(27, 133)(28, 135)(29, 134)(30, 136)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 163)(44, 164)(45, 165)(46, 172)(47, 174)(48, 186)(49, 157)(50, 158)(51, 159)(52, 202)(53, 200)(54, 205)(55, 206)(56, 203)(57, 204)(58, 160)(59, 213)(60, 161)(61, 215)(62, 199)(63, 201)(64, 207)(65, 208)(66, 216)(67, 209)(68, 210)(69, 211)(70, 214)(71, 212)(72, 162)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 176)(86, 167)(87, 177)(88, 166)(89, 170)(90, 171)(91, 168)(92, 169)(93, 178)(94, 179)(95, 181)(96, 182)(97, 183)(98, 185)(99, 173)(100, 184)(101, 175)(102, 180)(103, 187)(104, 188)(105, 189)(106, 190)(107, 191)(108, 192)(109, 193)(110, 194)(111, 195)(112, 196)(113, 197)(114, 198)
	local type(s) :: { ( 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57 ) }
Outer automorphisms :: reflexible
Dual of E19.1959
Transitivity :: ET+ VT+ AT
Graph::
	v = 19 e = 114 f = 59
	degree seq :: [ 12^19 ]

E19.1961 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 57})
Quotient :: loop
Aut^+ = C3 x D38 (small group id <114, 4>)
Aut   = S3 x D38 (small group id <228, 8>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^3 * T2 * T1^-1 * T2, (T2^-1 * T1 * T2^-1)^2, T1 * T2^2 * T1^-1 * T2^-17 ]
Map::
	R = (1, 115, 3, 117, 10, 124, 25, 139, 37, 151, 49, 163, 61, 175, 73, 187, 85, 199, 97, 211, 109, 223, 102, 216, 90, 204, 78, 192, 66, 180, 54, 168, 42, 156, 30, 144, 18, 132, 6, 120, 17, 131, 29, 143, 41, 155, 53, 167, 65, 179, 77, 191, 89, 203, 101, 215, 113, 227, 114, 228, 103, 217, 91, 205, 79, 193, 67, 181, 55, 169, 43, 157, 31, 145, 20, 134, 13, 127, 21, 135, 33, 147, 45, 159, 57, 171, 69, 183, 81, 195, 93, 207, 105, 219, 112, 226, 100, 214, 88, 202, 76, 190, 64, 178, 52, 166, 40, 154, 28, 142, 15, 129, 5, 119)(2, 116, 7, 121, 19, 133, 32, 146, 44, 158, 56, 170, 68, 182, 80, 194, 92, 206, 104, 218, 108, 222, 96, 210, 84, 198, 72, 186, 60, 174, 48, 162, 36, 150, 24, 138, 11, 125, 16, 130, 14, 128, 27, 141, 39, 153, 51, 165, 63, 177, 75, 189, 87, 201, 99, 213, 111, 225, 107, 221, 95, 209, 83, 197, 71, 185, 59, 173, 47, 161, 35, 149, 23, 137, 9, 123, 4, 118, 12, 126, 26, 140, 38, 152, 50, 164, 62, 176, 74, 188, 86, 200, 98, 212, 110, 224, 106, 220, 94, 208, 82, 196, 70, 184, 58, 172, 46, 160, 34, 148, 22, 136, 8, 122)
	L = (1, 116)(2, 120)(3, 123)(4, 115)(5, 128)(6, 130)(7, 119)(8, 135)(9, 131)(10, 138)(11, 117)(12, 134)(13, 118)(14, 132)(15, 140)(16, 127)(17, 122)(18, 126)(19, 145)(20, 121)(21, 125)(22, 124)(23, 147)(24, 143)(25, 148)(26, 144)(27, 129)(28, 146)(29, 137)(30, 133)(31, 141)(32, 156)(33, 136)(34, 155)(35, 139)(36, 159)(37, 161)(38, 142)(39, 157)(40, 165)(41, 150)(42, 153)(43, 152)(44, 154)(45, 149)(46, 171)(47, 167)(48, 151)(49, 174)(50, 169)(51, 168)(52, 176)(53, 160)(54, 164)(55, 158)(56, 181)(57, 162)(58, 163)(59, 183)(60, 179)(61, 184)(62, 180)(63, 166)(64, 182)(65, 173)(66, 170)(67, 177)(68, 192)(69, 172)(70, 191)(71, 175)(72, 195)(73, 197)(74, 178)(75, 193)(76, 201)(77, 186)(78, 189)(79, 188)(80, 190)(81, 185)(82, 207)(83, 203)(84, 187)(85, 210)(86, 205)(87, 204)(88, 212)(89, 196)(90, 200)(91, 194)(92, 217)(93, 198)(94, 199)(95, 219)(96, 215)(97, 220)(98, 216)(99, 202)(100, 218)(101, 209)(102, 206)(103, 213)(104, 223)(105, 208)(106, 227)(107, 211)(108, 226)(109, 225)(110, 214)(111, 228)(112, 221)(113, 222)(114, 224)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.1957
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 114 f = 76
	degree seq :: [ 114^2 ]

E19.1962 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 57})
Quotient :: loop
Aut^+ = C3 x D38 (small group id <114, 4>)
Aut   = S3 x D38 (small group id <228, 8>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-3)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^7 * T2 * T1^-11 * T2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 115, 3, 117)(2, 116, 6, 120)(4, 118, 9, 123)(5, 119, 12, 126)(7, 121, 16, 130)(8, 122, 17, 131)(10, 124, 21, 135)(11, 125, 24, 138)(13, 127, 28, 142)(14, 128, 29, 143)(15, 129, 32, 146)(18, 132, 35, 149)(19, 133, 33, 147)(20, 134, 34, 148)(22, 136, 31, 145)(23, 137, 40, 154)(25, 139, 42, 156)(26, 140, 43, 157)(27, 141, 45, 159)(30, 144, 46, 160)(36, 150, 48, 162)(37, 151, 49, 163)(38, 152, 50, 164)(39, 153, 54, 168)(41, 155, 56, 170)(44, 158, 58, 172)(47, 161, 60, 174)(51, 165, 61, 175)(52, 166, 63, 177)(53, 167, 66, 180)(55, 169, 68, 182)(57, 171, 70, 184)(59, 173, 72, 186)(62, 176, 73, 187)(64, 178, 71, 185)(65, 179, 78, 192)(67, 181, 80, 194)(69, 183, 82, 196)(74, 188, 84, 198)(75, 189, 85, 199)(76, 190, 86, 200)(77, 191, 90, 204)(79, 193, 92, 206)(81, 195, 94, 208)(83, 197, 96, 210)(87, 201, 97, 211)(88, 202, 99, 213)(89, 203, 102, 216)(91, 205, 104, 218)(93, 207, 106, 220)(95, 209, 108, 222)(98, 212, 109, 223)(100, 214, 107, 221)(101, 215, 110, 224)(103, 217, 113, 227)(105, 219, 112, 226)(111, 225, 114, 228)
	L = (1, 116)(2, 119)(3, 121)(4, 115)(5, 125)(6, 127)(7, 129)(8, 117)(9, 133)(10, 118)(11, 137)(12, 139)(13, 141)(14, 120)(15, 145)(16, 142)(17, 143)(18, 122)(19, 150)(20, 123)(21, 151)(22, 124)(23, 153)(24, 132)(25, 134)(26, 126)(27, 135)(28, 156)(29, 157)(30, 128)(31, 161)(32, 159)(33, 130)(34, 131)(35, 160)(36, 164)(37, 165)(38, 136)(39, 167)(40, 144)(41, 138)(42, 149)(43, 170)(44, 140)(45, 148)(46, 172)(47, 173)(48, 146)(49, 147)(50, 176)(51, 177)(52, 152)(53, 179)(54, 158)(55, 154)(56, 182)(57, 155)(58, 184)(59, 185)(60, 163)(61, 162)(62, 188)(63, 189)(64, 166)(65, 191)(66, 171)(67, 168)(68, 194)(69, 169)(70, 196)(71, 197)(72, 175)(73, 174)(74, 200)(75, 201)(76, 178)(77, 203)(78, 183)(79, 180)(80, 206)(81, 181)(82, 208)(83, 209)(84, 186)(85, 187)(86, 212)(87, 213)(88, 190)(89, 215)(90, 195)(91, 192)(92, 218)(93, 193)(94, 220)(95, 221)(96, 199)(97, 198)(98, 224)(99, 225)(100, 202)(101, 222)(102, 207)(103, 204)(104, 227)(105, 205)(106, 226)(107, 217)(108, 211)(109, 210)(110, 219)(111, 216)(112, 214)(113, 228)(114, 223)
	local type(s) :: { ( 6, 57, 6, 57 ) }
Outer automorphisms :: reflexible
Dual of E19.1958
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 57 e = 114 f = 21
	degree seq :: [ 4^57 ]

E19.1963 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 57})
Quotient :: dipole
Aut^+ = C3 x D38 (small group id <114, 4>)
Aut   = S3 x D38 (small group id <228, 8>)
|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, Y2^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^57 ]
Map::
	R = (1, 115, 2, 116)(3, 117, 7, 121)(4, 118, 9, 123)(5, 119, 11, 125)(6, 120, 13, 127)(8, 122, 12, 126)(10, 124, 14, 128)(15, 129, 23, 137)(16, 130, 25, 139)(17, 131, 24, 138)(18, 132, 26, 140)(19, 133, 27, 141)(20, 134, 29, 143)(21, 135, 28, 142)(22, 136, 30, 144)(31, 145, 37, 151)(32, 146, 38, 152)(33, 147, 39, 153)(34, 148, 40, 154)(35, 149, 41, 155)(36, 150, 42, 156)(43, 157, 49, 163)(44, 158, 50, 164)(45, 159, 51, 165)(46, 160, 66, 180)(47, 161, 67, 181)(48, 162, 69, 183)(52, 166, 91, 205)(53, 167, 95, 209)(54, 168, 97, 211)(55, 169, 100, 214)(56, 170, 87, 201)(57, 171, 89, 203)(58, 172, 92, 206)(59, 173, 103, 217)(60, 174, 94, 208)(61, 175, 106, 220)(62, 176, 96, 210)(63, 177, 98, 212)(64, 178, 93, 207)(65, 179, 102, 216)(68, 182, 111, 225)(70, 184, 85, 199)(71, 185, 107, 221)(72, 186, 108, 222)(73, 187, 99, 213)(74, 188, 101, 215)(75, 189, 110, 224)(76, 190, 109, 223)(77, 191, 104, 218)(78, 192, 105, 219)(79, 193, 114, 228)(80, 194, 112, 226)(81, 195, 113, 227)(82, 196, 90, 204)(83, 197, 86, 200)(84, 198, 88, 202)(229, 343, 231, 345, 236, 350, 245, 359, 238, 352, 232, 346)(230, 344, 233, 347, 240, 354, 249, 363, 242, 356, 234, 348)(235, 349, 243, 357, 252, 366, 246, 360, 237, 351, 244, 358)(239, 353, 247, 361, 256, 370, 250, 364, 241, 355, 248, 362)(251, 365, 259, 373, 254, 368, 261, 375, 253, 367, 260, 374)(255, 369, 262, 376, 258, 372, 264, 378, 257, 371, 263, 377)(265, 379, 271, 385, 267, 381, 273, 387, 266, 380, 272, 386)(268, 382, 274, 388, 270, 384, 276, 390, 269, 383, 275, 389)(277, 391, 313, 427, 279, 393, 317, 431, 278, 392, 315, 429)(280, 394, 320, 434, 287, 401, 336, 450, 289, 403, 322, 436)(281, 395, 324, 438, 291, 405, 337, 451, 293, 407, 321, 435)(282, 396, 326, 440, 296, 410, 330, 444, 283, 397, 323, 437)(284, 398, 331, 445, 298, 412, 334, 448, 285, 399, 319, 433)(286, 400, 335, 449, 300, 414, 329, 443, 288, 402, 327, 441)(290, 404, 338, 452, 304, 418, 333, 447, 292, 406, 332, 446)(294, 408, 339, 453, 297, 411, 328, 442, 295, 409, 325, 439)(299, 413, 342, 456, 302, 416, 341, 455, 301, 415, 340, 454)(303, 417, 318, 432, 306, 420, 316, 430, 305, 419, 314, 428)(307, 421, 311, 425, 309, 423, 310, 424, 308, 422, 312, 426)
	L = (1, 230)(2, 229)(3, 235)(4, 237)(5, 239)(6, 241)(7, 231)(8, 240)(9, 232)(10, 242)(11, 233)(12, 236)(13, 234)(14, 238)(15, 251)(16, 253)(17, 252)(18, 254)(19, 255)(20, 257)(21, 256)(22, 258)(23, 243)(24, 245)(25, 244)(26, 246)(27, 247)(28, 249)(29, 248)(30, 250)(31, 265)(32, 266)(33, 267)(34, 268)(35, 269)(36, 270)(37, 259)(38, 260)(39, 261)(40, 262)(41, 263)(42, 264)(43, 277)(44, 278)(45, 279)(46, 294)(47, 295)(48, 297)(49, 271)(50, 272)(51, 273)(52, 319)(53, 323)(54, 325)(55, 328)(56, 315)(57, 317)(58, 320)(59, 331)(60, 322)(61, 334)(62, 324)(63, 326)(64, 321)(65, 330)(66, 274)(67, 275)(68, 339)(69, 276)(70, 313)(71, 335)(72, 336)(73, 327)(74, 329)(75, 338)(76, 337)(77, 332)(78, 333)(79, 342)(80, 340)(81, 341)(82, 318)(83, 314)(84, 316)(85, 298)(86, 311)(87, 284)(88, 312)(89, 285)(90, 310)(91, 280)(92, 286)(93, 292)(94, 288)(95, 281)(96, 290)(97, 282)(98, 291)(99, 301)(100, 283)(101, 302)(102, 293)(103, 287)(104, 305)(105, 306)(106, 289)(107, 299)(108, 300)(109, 304)(110, 303)(111, 296)(112, 308)(113, 309)(114, 307)(115, 343)(116, 344)(117, 345)(118, 346)(119, 347)(120, 348)(121, 349)(122, 350)(123, 351)(124, 352)(125, 353)(126, 354)(127, 355)(128, 356)(129, 357)(130, 358)(131, 359)(132, 360)(133, 361)(134, 362)(135, 363)(136, 364)(137, 365)(138, 366)(139, 367)(140, 368)(141, 369)(142, 370)(143, 371)(144, 372)(145, 373)(146, 374)(147, 375)(148, 376)(149, 377)(150, 378)(151, 379)(152, 380)(153, 381)(154, 382)(155, 383)(156, 384)(157, 385)(158, 386)(159, 387)(160, 388)(161, 389)(162, 390)(163, 391)(164, 392)(165, 393)(166, 394)(167, 395)(168, 396)(169, 397)(170, 398)(171, 399)(172, 400)(173, 401)(174, 402)(175, 403)(176, 404)(177, 405)(178, 406)(179, 407)(180, 408)(181, 409)(182, 410)(183, 411)(184, 412)(185, 413)(186, 414)(187, 415)(188, 416)(189, 417)(190, 418)(191, 419)(192, 420)(193, 421)(194, 422)(195, 423)(196, 424)(197, 425)(198, 426)(199, 427)(200, 428)(201, 429)(202, 430)(203, 431)(204, 432)(205, 433)(206, 434)(207, 435)(208, 436)(209, 437)(210, 438)(211, 439)(212, 440)(213, 441)(214, 442)(215, 443)(216, 444)(217, 445)(218, 446)(219, 447)(220, 448)(221, 449)(222, 450)(223, 451)(224, 452)(225, 453)(226, 454)(227, 455)(228, 456)
	local type(s) :: { ( 2, 114, 2, 114 ), ( 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114 ) }
Outer automorphisms :: reflexible
Dual of E19.1966
Graph:: bipartite
	v = 76 e = 228 f = 116
	degree seq :: [ 4^57, 12^19 ]

E19.1964 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 57})
Quotient :: dipole
Aut^+ = C3 x D38 (small group id <114, 4>)
Aut   = S3 x D38 (small group id <228, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y2 * Y1^-1 * Y2 * Y1, Y1^6, (Y2^-2 * Y1)^2, Y2^2 * Y1^-2 * Y2^17 ]
Map::
	R = (1, 115, 2, 116, 6, 120, 16, 130, 13, 127, 4, 118)(3, 117, 9, 123, 17, 131, 8, 122, 21, 135, 11, 125)(5, 119, 14, 128, 18, 132, 12, 126, 20, 134, 7, 121)(10, 124, 24, 138, 29, 143, 23, 137, 33, 147, 22, 136)(15, 129, 26, 140, 30, 144, 19, 133, 31, 145, 27, 141)(25, 139, 34, 148, 41, 155, 36, 150, 45, 159, 35, 149)(28, 142, 32, 146, 42, 156, 39, 153, 43, 157, 38, 152)(37, 151, 47, 161, 53, 167, 46, 160, 57, 171, 48, 162)(40, 154, 51, 165, 54, 168, 50, 164, 55, 169, 44, 158)(49, 163, 60, 174, 65, 179, 59, 173, 69, 183, 58, 172)(52, 166, 62, 176, 66, 180, 56, 170, 67, 181, 63, 177)(61, 175, 70, 184, 77, 191, 72, 186, 81, 195, 71, 185)(64, 178, 68, 182, 78, 192, 75, 189, 79, 193, 74, 188)(73, 187, 83, 197, 89, 203, 82, 196, 93, 207, 84, 198)(76, 190, 87, 201, 90, 204, 86, 200, 91, 205, 80, 194)(85, 199, 96, 210, 101, 215, 95, 209, 105, 219, 94, 208)(88, 202, 98, 212, 102, 216, 92, 206, 103, 217, 99, 213)(97, 211, 106, 220, 113, 227, 108, 222, 112, 226, 107, 221)(100, 214, 104, 218, 109, 223, 111, 225, 114, 228, 110, 224)(229, 343, 231, 345, 238, 352, 253, 367, 265, 379, 277, 391, 289, 403, 301, 415, 313, 427, 325, 439, 337, 451, 330, 444, 318, 432, 306, 420, 294, 408, 282, 396, 270, 384, 258, 372, 246, 360, 234, 348, 245, 359, 257, 371, 269, 383, 281, 395, 293, 407, 305, 419, 317, 431, 329, 443, 341, 455, 342, 456, 331, 445, 319, 433, 307, 421, 295, 409, 283, 397, 271, 385, 259, 373, 248, 362, 241, 355, 249, 363, 261, 375, 273, 387, 285, 399, 297, 411, 309, 423, 321, 435, 333, 447, 340, 454, 328, 442, 316, 430, 304, 418, 292, 406, 280, 394, 268, 382, 256, 370, 243, 357, 233, 347)(230, 344, 235, 349, 247, 361, 260, 374, 272, 386, 284, 398, 296, 410, 308, 422, 320, 434, 332, 446, 336, 450, 324, 438, 312, 426, 300, 414, 288, 402, 276, 390, 264, 378, 252, 366, 239, 353, 244, 358, 242, 356, 255, 369, 267, 381, 279, 393, 291, 405, 303, 417, 315, 429, 327, 441, 339, 453, 335, 449, 323, 437, 311, 425, 299, 413, 287, 401, 275, 389, 263, 377, 251, 365, 237, 351, 232, 346, 240, 354, 254, 368, 266, 380, 278, 392, 290, 404, 302, 416, 314, 428, 326, 440, 338, 452, 334, 448, 322, 436, 310, 424, 298, 412, 286, 400, 274, 388, 262, 376, 250, 364, 236, 350)
	L = (1, 231)(2, 235)(3, 238)(4, 240)(5, 229)(6, 245)(7, 247)(8, 230)(9, 232)(10, 253)(11, 244)(12, 254)(13, 249)(14, 255)(15, 233)(16, 242)(17, 257)(18, 234)(19, 260)(20, 241)(21, 261)(22, 236)(23, 237)(24, 239)(25, 265)(26, 266)(27, 267)(28, 243)(29, 269)(30, 246)(31, 248)(32, 272)(33, 273)(34, 250)(35, 251)(36, 252)(37, 277)(38, 278)(39, 279)(40, 256)(41, 281)(42, 258)(43, 259)(44, 284)(45, 285)(46, 262)(47, 263)(48, 264)(49, 289)(50, 290)(51, 291)(52, 268)(53, 293)(54, 270)(55, 271)(56, 296)(57, 297)(58, 274)(59, 275)(60, 276)(61, 301)(62, 302)(63, 303)(64, 280)(65, 305)(66, 282)(67, 283)(68, 308)(69, 309)(70, 286)(71, 287)(72, 288)(73, 313)(74, 314)(75, 315)(76, 292)(77, 317)(78, 294)(79, 295)(80, 320)(81, 321)(82, 298)(83, 299)(84, 300)(85, 325)(86, 326)(87, 327)(88, 304)(89, 329)(90, 306)(91, 307)(92, 332)(93, 333)(94, 310)(95, 311)(96, 312)(97, 337)(98, 338)(99, 339)(100, 316)(101, 341)(102, 318)(103, 319)(104, 336)(105, 340)(106, 322)(107, 323)(108, 324)(109, 330)(110, 334)(111, 335)(112, 328)(113, 342)(114, 331)(115, 343)(116, 344)(117, 345)(118, 346)(119, 347)(120, 348)(121, 349)(122, 350)(123, 351)(124, 352)(125, 353)(126, 354)(127, 355)(128, 356)(129, 357)(130, 358)(131, 359)(132, 360)(133, 361)(134, 362)(135, 363)(136, 364)(137, 365)(138, 366)(139, 367)(140, 368)(141, 369)(142, 370)(143, 371)(144, 372)(145, 373)(146, 374)(147, 375)(148, 376)(149, 377)(150, 378)(151, 379)(152, 380)(153, 381)(154, 382)(155, 383)(156, 384)(157, 385)(158, 386)(159, 387)(160, 388)(161, 389)(162, 390)(163, 391)(164, 392)(165, 393)(166, 394)(167, 395)(168, 396)(169, 397)(170, 398)(171, 399)(172, 400)(173, 401)(174, 402)(175, 403)(176, 404)(177, 405)(178, 406)(179, 407)(180, 408)(181, 409)(182, 410)(183, 411)(184, 412)(185, 413)(186, 414)(187, 415)(188, 416)(189, 417)(190, 418)(191, 419)(192, 420)(193, 421)(194, 422)(195, 423)(196, 424)(197, 425)(198, 426)(199, 427)(200, 428)(201, 429)(202, 430)(203, 431)(204, 432)(205, 433)(206, 434)(207, 435)(208, 436)(209, 437)(210, 438)(211, 439)(212, 440)(213, 441)(214, 442)(215, 443)(216, 444)(217, 445)(218, 446)(219, 447)(220, 448)(221, 449)(222, 450)(223, 451)(224, 452)(225, 453)(226, 454)(227, 455)(228, 456)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.1965
Graph:: bipartite
	v = 21 e = 228 f = 171
	degree seq :: [ 12^19, 114^2 ]

E19.1965 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 57})
Quotient :: dipole
Aut^+ = C3 x D38 (small group id <114, 4>)
Aut   = S3 x D38 (small group id <228, 8>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^3 * Y2)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y2 * Y3^-17 * Y2 * Y3^2, (Y3^-1 * Y1^-1)^57 ]
Map:: polytopal
	R = (1, 115)(2, 116)(3, 117)(4, 118)(5, 119)(6, 120)(7, 121)(8, 122)(9, 123)(10, 124)(11, 125)(12, 126)(13, 127)(14, 128)(15, 129)(16, 130)(17, 131)(18, 132)(19, 133)(20, 134)(21, 135)(22, 136)(23, 137)(24, 138)(25, 139)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 161)(48, 162)(49, 163)(50, 164)(51, 165)(52, 166)(53, 167)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)(229, 343, 230, 344)(231, 345, 235, 349)(232, 346, 237, 351)(233, 347, 239, 353)(234, 348, 241, 355)(236, 350, 245, 359)(238, 352, 249, 363)(240, 354, 253, 367)(242, 356, 257, 371)(243, 357, 251, 365)(244, 358, 255, 369)(246, 360, 258, 372)(247, 361, 252, 366)(248, 362, 256, 370)(250, 364, 254, 368)(259, 373, 269, 383)(260, 374, 273, 387)(261, 375, 267, 381)(262, 376, 272, 386)(263, 377, 275, 389)(264, 378, 270, 384)(265, 379, 268, 382)(266, 380, 278, 392)(271, 385, 281, 395)(274, 388, 284, 398)(276, 390, 285, 399)(277, 391, 288, 402)(279, 393, 282, 396)(280, 394, 291, 405)(283, 397, 294, 408)(286, 400, 297, 411)(287, 401, 296, 410)(289, 403, 298, 412)(290, 404, 293, 407)(292, 406, 295, 409)(299, 413, 309, 423)(300, 414, 308, 422)(301, 415, 311, 425)(302, 416, 306, 420)(303, 417, 305, 419)(304, 418, 314, 428)(307, 421, 317, 431)(310, 424, 320, 434)(312, 426, 321, 435)(313, 427, 324, 438)(315, 429, 318, 432)(316, 430, 327, 441)(319, 433, 330, 444)(322, 436, 333, 447)(323, 437, 332, 446)(325, 439, 334, 448)(326, 440, 329, 443)(328, 442, 331, 445)(335, 449, 340, 454)(336, 450, 342, 456)(337, 451, 338, 452)(339, 453, 341, 455)
	L = (1, 231)(2, 233)(3, 236)(4, 229)(5, 240)(6, 230)(7, 243)(8, 246)(9, 247)(10, 232)(11, 251)(12, 254)(13, 255)(14, 234)(15, 259)(16, 235)(17, 261)(18, 263)(19, 264)(20, 237)(21, 265)(22, 238)(23, 267)(24, 239)(25, 269)(26, 271)(27, 272)(28, 241)(29, 273)(30, 242)(31, 249)(32, 244)(33, 248)(34, 245)(35, 277)(36, 278)(37, 279)(38, 250)(39, 257)(40, 252)(41, 256)(42, 253)(43, 283)(44, 284)(45, 285)(46, 258)(47, 260)(48, 262)(49, 289)(50, 290)(51, 291)(52, 266)(53, 268)(54, 270)(55, 295)(56, 296)(57, 297)(58, 274)(59, 275)(60, 276)(61, 301)(62, 302)(63, 303)(64, 280)(65, 281)(66, 282)(67, 307)(68, 308)(69, 309)(70, 286)(71, 287)(72, 288)(73, 313)(74, 314)(75, 315)(76, 292)(77, 293)(78, 294)(79, 319)(80, 320)(81, 321)(82, 298)(83, 299)(84, 300)(85, 325)(86, 326)(87, 327)(88, 304)(89, 305)(90, 306)(91, 331)(92, 332)(93, 333)(94, 310)(95, 311)(96, 312)(97, 337)(98, 338)(99, 339)(100, 316)(101, 317)(102, 318)(103, 336)(104, 342)(105, 340)(106, 322)(107, 323)(108, 324)(109, 330)(110, 335)(111, 334)(112, 328)(113, 329)(114, 341)(115, 343)(116, 344)(117, 345)(118, 346)(119, 347)(120, 348)(121, 349)(122, 350)(123, 351)(124, 352)(125, 353)(126, 354)(127, 355)(128, 356)(129, 357)(130, 358)(131, 359)(132, 360)(133, 361)(134, 362)(135, 363)(136, 364)(137, 365)(138, 366)(139, 367)(140, 368)(141, 369)(142, 370)(143, 371)(144, 372)(145, 373)(146, 374)(147, 375)(148, 376)(149, 377)(150, 378)(151, 379)(152, 380)(153, 381)(154, 382)(155, 383)(156, 384)(157, 385)(158, 386)(159, 387)(160, 388)(161, 389)(162, 390)(163, 391)(164, 392)(165, 393)(166, 394)(167, 395)(168, 396)(169, 397)(170, 398)(171, 399)(172, 400)(173, 401)(174, 402)(175, 403)(176, 404)(177, 405)(178, 406)(179, 407)(180, 408)(181, 409)(182, 410)(183, 411)(184, 412)(185, 413)(186, 414)(187, 415)(188, 416)(189, 417)(190, 418)(191, 419)(192, 420)(193, 421)(194, 422)(195, 423)(196, 424)(197, 425)(198, 426)(199, 427)(200, 428)(201, 429)(202, 430)(203, 431)(204, 432)(205, 433)(206, 434)(207, 435)(208, 436)(209, 437)(210, 438)(211, 439)(212, 440)(213, 441)(214, 442)(215, 443)(216, 444)(217, 445)(218, 446)(219, 447)(220, 448)(221, 449)(222, 450)(223, 451)(224, 452)(225, 453)(226, 454)(227, 455)(228, 456)
	local type(s) :: { ( 12, 114 ), ( 12, 114, 12, 114 ) }
Outer automorphisms :: reflexible
Dual of E19.1964
Graph:: simple bipartite
	v = 171 e = 228 f = 21
	degree seq :: [ 2^114, 4^57 ]

E19.1966 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 57})
Quotient :: dipole
Aut^+ = C3 x D38 (small group id <114, 4>)
Aut   = S3 x D38 (small group id <228, 8>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y1^-1 * Y3 * Y1^-2)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y1^5 * Y3 * Y1^-14 * Y3 ]
Map::
	R = (1, 115, 2, 116, 5, 119, 11, 125, 23, 137, 39, 153, 53, 167, 65, 179, 77, 191, 89, 203, 101, 215, 108, 222, 97, 211, 84, 198, 72, 186, 61, 175, 48, 162, 32, 146, 45, 159, 34, 148, 17, 131, 29, 143, 43, 157, 56, 170, 68, 182, 80, 194, 92, 206, 104, 218, 113, 227, 114, 228, 109, 223, 96, 210, 85, 199, 73, 187, 60, 174, 49, 163, 33, 147, 16, 130, 28, 142, 42, 156, 35, 149, 46, 160, 58, 172, 70, 184, 82, 196, 94, 208, 106, 220, 112, 226, 100, 214, 88, 202, 76, 190, 64, 178, 52, 166, 38, 152, 22, 136, 10, 124, 4, 118)(3, 117, 7, 121, 15, 129, 31, 145, 47, 161, 59, 173, 71, 185, 83, 197, 95, 209, 107, 221, 103, 217, 90, 204, 81, 195, 67, 181, 54, 168, 44, 158, 26, 140, 12, 126, 25, 139, 20, 134, 9, 123, 19, 133, 36, 150, 50, 164, 62, 176, 74, 188, 86, 200, 98, 212, 110, 224, 105, 219, 91, 205, 78, 192, 69, 183, 55, 169, 40, 154, 30, 144, 14, 128, 6, 120, 13, 127, 27, 141, 21, 135, 37, 151, 51, 165, 63, 177, 75, 189, 87, 201, 99, 213, 111, 225, 102, 216, 93, 207, 79, 193, 66, 180, 57, 171, 41, 155, 24, 138, 18, 132, 8, 122)(229, 343)(230, 344)(231, 345)(232, 346)(233, 347)(234, 348)(235, 349)(236, 350)(237, 351)(238, 352)(239, 353)(240, 354)(241, 355)(242, 356)(243, 357)(244, 358)(245, 359)(246, 360)(247, 361)(248, 362)(249, 363)(250, 364)(251, 365)(252, 366)(253, 367)(254, 368)(255, 369)(256, 370)(257, 371)(258, 372)(259, 373)(260, 374)(261, 375)(262, 376)(263, 377)(264, 378)(265, 379)(266, 380)(267, 381)(268, 382)(269, 383)(270, 384)(271, 385)(272, 386)(273, 387)(274, 388)(275, 389)(276, 390)(277, 391)(278, 392)(279, 393)(280, 394)(281, 395)(282, 396)(283, 397)(284, 398)(285, 399)(286, 400)(287, 401)(288, 402)(289, 403)(290, 404)(291, 405)(292, 406)(293, 407)(294, 408)(295, 409)(296, 410)(297, 411)(298, 412)(299, 413)(300, 414)(301, 415)(302, 416)(303, 417)(304, 418)(305, 419)(306, 420)(307, 421)(308, 422)(309, 423)(310, 424)(311, 425)(312, 426)(313, 427)(314, 428)(315, 429)(316, 430)(317, 431)(318, 432)(319, 433)(320, 434)(321, 435)(322, 436)(323, 437)(324, 438)(325, 439)(326, 440)(327, 441)(328, 442)(329, 443)(330, 444)(331, 445)(332, 446)(333, 447)(334, 448)(335, 449)(336, 450)(337, 451)(338, 452)(339, 453)(340, 454)(341, 455)(342, 456)
	L = (1, 231)(2, 234)(3, 229)(4, 237)(5, 240)(6, 230)(7, 244)(8, 245)(9, 232)(10, 249)(11, 252)(12, 233)(13, 256)(14, 257)(15, 260)(16, 235)(17, 236)(18, 263)(19, 261)(20, 262)(21, 238)(22, 259)(23, 268)(24, 239)(25, 270)(26, 271)(27, 273)(28, 241)(29, 242)(30, 274)(31, 250)(32, 243)(33, 247)(34, 248)(35, 246)(36, 276)(37, 277)(38, 278)(39, 282)(40, 251)(41, 284)(42, 253)(43, 254)(44, 286)(45, 255)(46, 258)(47, 288)(48, 264)(49, 265)(50, 266)(51, 289)(52, 291)(53, 294)(54, 267)(55, 296)(56, 269)(57, 298)(58, 272)(59, 300)(60, 275)(61, 279)(62, 301)(63, 280)(64, 299)(65, 306)(66, 281)(67, 308)(68, 283)(69, 310)(70, 285)(71, 292)(72, 287)(73, 290)(74, 312)(75, 313)(76, 314)(77, 318)(78, 293)(79, 320)(80, 295)(81, 322)(82, 297)(83, 324)(84, 302)(85, 303)(86, 304)(87, 325)(88, 327)(89, 330)(90, 305)(91, 332)(92, 307)(93, 334)(94, 309)(95, 336)(96, 311)(97, 315)(98, 337)(99, 316)(100, 335)(101, 338)(102, 317)(103, 341)(104, 319)(105, 340)(106, 321)(107, 328)(108, 323)(109, 326)(110, 329)(111, 342)(112, 333)(113, 331)(114, 339)(115, 343)(116, 344)(117, 345)(118, 346)(119, 347)(120, 348)(121, 349)(122, 350)(123, 351)(124, 352)(125, 353)(126, 354)(127, 355)(128, 356)(129, 357)(130, 358)(131, 359)(132, 360)(133, 361)(134, 362)(135, 363)(136, 364)(137, 365)(138, 366)(139, 367)(140, 368)(141, 369)(142, 370)(143, 371)(144, 372)(145, 373)(146, 374)(147, 375)(148, 376)(149, 377)(150, 378)(151, 379)(152, 380)(153, 381)(154, 382)(155, 383)(156, 384)(157, 385)(158, 386)(159, 387)(160, 388)(161, 389)(162, 390)(163, 391)(164, 392)(165, 393)(166, 394)(167, 395)(168, 396)(169, 397)(170, 398)(171, 399)(172, 400)(173, 401)(174, 402)(175, 403)(176, 404)(177, 405)(178, 406)(179, 407)(180, 408)(181, 409)(182, 410)(183, 411)(184, 412)(185, 413)(186, 414)(187, 415)(188, 416)(189, 417)(190, 418)(191, 419)(192, 420)(193, 421)(194, 422)(195, 423)(196, 424)(197, 425)(198, 426)(199, 427)(200, 428)(201, 429)(202, 430)(203, 431)(204, 432)(205, 433)(206, 434)(207, 435)(208, 436)(209, 437)(210, 438)(211, 439)(212, 440)(213, 441)(214, 442)(215, 443)(216, 444)(217, 445)(218, 446)(219, 447)(220, 448)(221, 449)(222, 450)(223, 451)(224, 452)(225, 453)(226, 454)(227, 455)(228, 456)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 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 E19.1963
Graph:: simple bipartite
	v = 116 e = 228 f = 76
	degree seq :: [ 2^114, 114^2 ]

E19.1967 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 57})
Quotient :: dipole
Aut^+ = C3 x D38 (small group id <114, 4>)
Aut   = S3 x D38 (small group id <228, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^3 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^6, Y1 * Y2^5 * Y1 * Y2^-14 ]
Map::
	R = (1, 115, 2, 116)(3, 117, 7, 121)(4, 118, 9, 123)(5, 119, 11, 125)(6, 120, 13, 127)(8, 122, 17, 131)(10, 124, 21, 135)(12, 126, 25, 139)(14, 128, 29, 143)(15, 129, 23, 137)(16, 130, 27, 141)(18, 132, 30, 144)(19, 133, 24, 138)(20, 134, 28, 142)(22, 136, 26, 140)(31, 145, 41, 155)(32, 146, 45, 159)(33, 147, 39, 153)(34, 148, 44, 158)(35, 149, 47, 161)(36, 150, 42, 156)(37, 151, 40, 154)(38, 152, 50, 164)(43, 157, 53, 167)(46, 160, 56, 170)(48, 162, 57, 171)(49, 163, 60, 174)(51, 165, 54, 168)(52, 166, 63, 177)(55, 169, 66, 180)(58, 172, 69, 183)(59, 173, 68, 182)(61, 175, 70, 184)(62, 176, 65, 179)(64, 178, 67, 181)(71, 185, 81, 195)(72, 186, 80, 194)(73, 187, 83, 197)(74, 188, 78, 192)(75, 189, 77, 191)(76, 190, 86, 200)(79, 193, 89, 203)(82, 196, 92, 206)(84, 198, 93, 207)(85, 199, 96, 210)(87, 201, 90, 204)(88, 202, 99, 213)(91, 205, 102, 216)(94, 208, 105, 219)(95, 209, 104, 218)(97, 211, 106, 220)(98, 212, 101, 215)(100, 214, 103, 217)(107, 221, 112, 226)(108, 222, 114, 228)(109, 223, 110, 224)(111, 225, 113, 227)(229, 343, 231, 345, 236, 350, 246, 360, 263, 377, 277, 391, 289, 403, 301, 415, 313, 427, 325, 439, 337, 451, 330, 444, 318, 432, 306, 420, 294, 408, 282, 396, 270, 384, 253, 367, 269, 383, 256, 370, 241, 355, 255, 369, 272, 386, 284, 398, 296, 410, 308, 422, 320, 434, 332, 446, 342, 456, 341, 455, 329, 443, 317, 431, 305, 419, 293, 407, 281, 395, 268, 382, 252, 366, 239, 353, 251, 365, 267, 381, 257, 371, 273, 387, 285, 399, 297, 411, 309, 423, 321, 435, 333, 447, 340, 454, 328, 442, 316, 430, 304, 418, 292, 406, 280, 394, 266, 380, 250, 364, 238, 352, 232, 346)(230, 344, 233, 347, 240, 354, 254, 368, 271, 385, 283, 397, 295, 409, 307, 421, 319, 433, 331, 445, 336, 450, 324, 438, 312, 426, 300, 414, 288, 402, 276, 390, 262, 376, 245, 359, 261, 375, 248, 362, 237, 351, 247, 361, 264, 378, 278, 392, 290, 404, 302, 416, 314, 428, 326, 440, 338, 452, 335, 449, 323, 437, 311, 425, 299, 413, 287, 401, 275, 389, 260, 374, 244, 358, 235, 349, 243, 357, 259, 373, 249, 363, 265, 379, 279, 393, 291, 405, 303, 417, 315, 429, 327, 441, 339, 453, 334, 448, 322, 436, 310, 424, 298, 412, 286, 400, 274, 388, 258, 372, 242, 356, 234, 348)
	L = (1, 230)(2, 229)(3, 235)(4, 237)(5, 239)(6, 241)(7, 231)(8, 245)(9, 232)(10, 249)(11, 233)(12, 253)(13, 234)(14, 257)(15, 251)(16, 255)(17, 236)(18, 258)(19, 252)(20, 256)(21, 238)(22, 254)(23, 243)(24, 247)(25, 240)(26, 250)(27, 244)(28, 248)(29, 242)(30, 246)(31, 269)(32, 273)(33, 267)(34, 272)(35, 275)(36, 270)(37, 268)(38, 278)(39, 261)(40, 265)(41, 259)(42, 264)(43, 281)(44, 262)(45, 260)(46, 284)(47, 263)(48, 285)(49, 288)(50, 266)(51, 282)(52, 291)(53, 271)(54, 279)(55, 294)(56, 274)(57, 276)(58, 297)(59, 296)(60, 277)(61, 298)(62, 293)(63, 280)(64, 295)(65, 290)(66, 283)(67, 292)(68, 287)(69, 286)(70, 289)(71, 309)(72, 308)(73, 311)(74, 306)(75, 305)(76, 314)(77, 303)(78, 302)(79, 317)(80, 300)(81, 299)(82, 320)(83, 301)(84, 321)(85, 324)(86, 304)(87, 318)(88, 327)(89, 307)(90, 315)(91, 330)(92, 310)(93, 312)(94, 333)(95, 332)(96, 313)(97, 334)(98, 329)(99, 316)(100, 331)(101, 326)(102, 319)(103, 328)(104, 323)(105, 322)(106, 325)(107, 340)(108, 342)(109, 338)(110, 337)(111, 341)(112, 335)(113, 339)(114, 336)(115, 343)(116, 344)(117, 345)(118, 346)(119, 347)(120, 348)(121, 349)(122, 350)(123, 351)(124, 352)(125, 353)(126, 354)(127, 355)(128, 356)(129, 357)(130, 358)(131, 359)(132, 360)(133, 361)(134, 362)(135, 363)(136, 364)(137, 365)(138, 366)(139, 367)(140, 368)(141, 369)(142, 370)(143, 371)(144, 372)(145, 373)(146, 374)(147, 375)(148, 376)(149, 377)(150, 378)(151, 379)(152, 380)(153, 381)(154, 382)(155, 383)(156, 384)(157, 385)(158, 386)(159, 387)(160, 388)(161, 389)(162, 390)(163, 391)(164, 392)(165, 393)(166, 394)(167, 395)(168, 396)(169, 397)(170, 398)(171, 399)(172, 400)(173, 401)(174, 402)(175, 403)(176, 404)(177, 405)(178, 406)(179, 407)(180, 408)(181, 409)(182, 410)(183, 411)(184, 412)(185, 413)(186, 414)(187, 415)(188, 416)(189, 417)(190, 418)(191, 419)(192, 420)(193, 421)(194, 422)(195, 423)(196, 424)(197, 425)(198, 426)(199, 427)(200, 428)(201, 429)(202, 430)(203, 431)(204, 432)(205, 433)(206, 434)(207, 435)(208, 436)(209, 437)(210, 438)(211, 439)(212, 440)(213, 441)(214, 442)(215, 443)(216, 444)(217, 445)(218, 446)(219, 447)(220, 448)(221, 449)(222, 450)(223, 451)(224, 452)(225, 453)(226, 454)(227, 455)(228, 456)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 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 E19.1968
Graph:: bipartite
	v = 59 e = 228 f = 133
	degree seq :: [ 4^57, 114^2 ]

E19.1968 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 57})
Quotient :: dipole
Aut^+ = C3 x D38 (small group id <114, 4>)
Aut   = S3 x D38 (small group id <228, 8>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^3 * Y3 * Y1^-1 * Y3, (Y3^-1 * Y1 * Y3^-1)^2, Y3^2 * Y1^-1 * Y3^-17 * Y1, (Y3 * Y2^-1)^57 ]
Map::
	R = (1, 115, 2, 116, 6, 120, 16, 130, 13, 127, 4, 118)(3, 117, 9, 123, 17, 131, 8, 122, 21, 135, 11, 125)(5, 119, 14, 128, 18, 132, 12, 126, 20, 134, 7, 121)(10, 124, 24, 138, 29, 143, 23, 137, 33, 147, 22, 136)(15, 129, 26, 140, 30, 144, 19, 133, 31, 145, 27, 141)(25, 139, 34, 148, 41, 155, 36, 150, 45, 159, 35, 149)(28, 142, 32, 146, 42, 156, 39, 153, 43, 157, 38, 152)(37, 151, 47, 161, 53, 167, 46, 160, 57, 171, 48, 162)(40, 154, 51, 165, 54, 168, 50, 164, 55, 169, 44, 158)(49, 163, 60, 174, 65, 179, 59, 173, 69, 183, 58, 172)(52, 166, 62, 176, 66, 180, 56, 170, 67, 181, 63, 177)(61, 175, 70, 184, 77, 191, 72, 186, 81, 195, 71, 185)(64, 178, 68, 182, 78, 192, 75, 189, 79, 193, 74, 188)(73, 187, 83, 197, 89, 203, 82, 196, 93, 207, 84, 198)(76, 190, 87, 201, 90, 204, 86, 200, 91, 205, 80, 194)(85, 199, 96, 210, 101, 215, 95, 209, 105, 219, 94, 208)(88, 202, 98, 212, 102, 216, 92, 206, 103, 217, 99, 213)(97, 211, 106, 220, 113, 227, 108, 222, 112, 226, 107, 221)(100, 214, 104, 218, 109, 223, 111, 225, 114, 228, 110, 224)(229, 343)(230, 344)(231, 345)(232, 346)(233, 347)(234, 348)(235, 349)(236, 350)(237, 351)(238, 352)(239, 353)(240, 354)(241, 355)(242, 356)(243, 357)(244, 358)(245, 359)(246, 360)(247, 361)(248, 362)(249, 363)(250, 364)(251, 365)(252, 366)(253, 367)(254, 368)(255, 369)(256, 370)(257, 371)(258, 372)(259, 373)(260, 374)(261, 375)(262, 376)(263, 377)(264, 378)(265, 379)(266, 380)(267, 381)(268, 382)(269, 383)(270, 384)(271, 385)(272, 386)(273, 387)(274, 388)(275, 389)(276, 390)(277, 391)(278, 392)(279, 393)(280, 394)(281, 395)(282, 396)(283, 397)(284, 398)(285, 399)(286, 400)(287, 401)(288, 402)(289, 403)(290, 404)(291, 405)(292, 406)(293, 407)(294, 408)(295, 409)(296, 410)(297, 411)(298, 412)(299, 413)(300, 414)(301, 415)(302, 416)(303, 417)(304, 418)(305, 419)(306, 420)(307, 421)(308, 422)(309, 423)(310, 424)(311, 425)(312, 426)(313, 427)(314, 428)(315, 429)(316, 430)(317, 431)(318, 432)(319, 433)(320, 434)(321, 435)(322, 436)(323, 437)(324, 438)(325, 439)(326, 440)(327, 441)(328, 442)(329, 443)(330, 444)(331, 445)(332, 446)(333, 447)(334, 448)(335, 449)(336, 450)(337, 451)(338, 452)(339, 453)(340, 454)(341, 455)(342, 456)
	L = (1, 231)(2, 235)(3, 238)(4, 240)(5, 229)(6, 245)(7, 247)(8, 230)(9, 232)(10, 253)(11, 244)(12, 254)(13, 249)(14, 255)(15, 233)(16, 242)(17, 257)(18, 234)(19, 260)(20, 241)(21, 261)(22, 236)(23, 237)(24, 239)(25, 265)(26, 266)(27, 267)(28, 243)(29, 269)(30, 246)(31, 248)(32, 272)(33, 273)(34, 250)(35, 251)(36, 252)(37, 277)(38, 278)(39, 279)(40, 256)(41, 281)(42, 258)(43, 259)(44, 284)(45, 285)(46, 262)(47, 263)(48, 264)(49, 289)(50, 290)(51, 291)(52, 268)(53, 293)(54, 270)(55, 271)(56, 296)(57, 297)(58, 274)(59, 275)(60, 276)(61, 301)(62, 302)(63, 303)(64, 280)(65, 305)(66, 282)(67, 283)(68, 308)(69, 309)(70, 286)(71, 287)(72, 288)(73, 313)(74, 314)(75, 315)(76, 292)(77, 317)(78, 294)(79, 295)(80, 320)(81, 321)(82, 298)(83, 299)(84, 300)(85, 325)(86, 326)(87, 327)(88, 304)(89, 329)(90, 306)(91, 307)(92, 332)(93, 333)(94, 310)(95, 311)(96, 312)(97, 337)(98, 338)(99, 339)(100, 316)(101, 341)(102, 318)(103, 319)(104, 336)(105, 340)(106, 322)(107, 323)(108, 324)(109, 330)(110, 334)(111, 335)(112, 328)(113, 342)(114, 331)(115, 343)(116, 344)(117, 345)(118, 346)(119, 347)(120, 348)(121, 349)(122, 350)(123, 351)(124, 352)(125, 353)(126, 354)(127, 355)(128, 356)(129, 357)(130, 358)(131, 359)(132, 360)(133, 361)(134, 362)(135, 363)(136, 364)(137, 365)(138, 366)(139, 367)(140, 368)(141, 369)(142, 370)(143, 371)(144, 372)(145, 373)(146, 374)(147, 375)(148, 376)(149, 377)(150, 378)(151, 379)(152, 380)(153, 381)(154, 382)(155, 383)(156, 384)(157, 385)(158, 386)(159, 387)(160, 388)(161, 389)(162, 390)(163, 391)(164, 392)(165, 393)(166, 394)(167, 395)(168, 396)(169, 397)(170, 398)(171, 399)(172, 400)(173, 401)(174, 402)(175, 403)(176, 404)(177, 405)(178, 406)(179, 407)(180, 408)(181, 409)(182, 410)(183, 411)(184, 412)(185, 413)(186, 414)(187, 415)(188, 416)(189, 417)(190, 418)(191, 419)(192, 420)(193, 421)(194, 422)(195, 423)(196, 424)(197, 425)(198, 426)(199, 427)(200, 428)(201, 429)(202, 430)(203, 431)(204, 432)(205, 433)(206, 434)(207, 435)(208, 436)(209, 437)(210, 438)(211, 439)(212, 440)(213, 441)(214, 442)(215, 443)(216, 444)(217, 445)(218, 446)(219, 447)(220, 448)(221, 449)(222, 450)(223, 451)(224, 452)(225, 453)(226, 454)(227, 455)(228, 456)
	local type(s) :: { ( 4, 114 ), ( 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114 ) }
Outer automorphisms :: reflexible
Dual of E19.1967
Graph:: simple bipartite
	v = 133 e = 228 f = 59
	degree seq :: [ 2^114, 12^19 ]

E19.1969 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 39})
Quotient :: edge
Aut^+ = C3 x (C13 : C3) (small group id <117, 3>)
Aut   = C3 x (C13 : C3) (small group id <117, 3>)
|r| :: 1
Presentation :: [ X1^3, (X2^-1 * X1^-1)^3, (X2 * X1^-1)^3, (X2^-1 * X1^-1)^3, X2^-4 * X1 * X2^2 * X1^-1 * X2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 28, 30)(12, 31, 22)(15, 35, 36)(17, 39, 41)(21, 45, 46)(23, 49, 44)(25, 53, 55)(27, 57, 51)(29, 60, 62)(32, 64, 65)(33, 67, 42)(34, 59, 70)(37, 73, 74)(38, 76, 48)(40, 79, 81)(43, 83, 63)(47, 87, 88)(50, 91, 75)(52, 93, 85)(54, 68, 95)(56, 97, 94)(58, 98, 99)(61, 102, 103)(66, 105, 106)(69, 101, 108)(71, 109, 82)(72, 100, 110)(77, 112, 89)(78, 113, 90)(80, 84, 114)(86, 116, 104)(92, 111, 117)(96, 115, 107)(118, 120, 126, 142, 171, 158, 193, 181, 215, 219, 231, 233, 205, 234, 217, 176, 145, 137, 161, 202, 199, 159, 135, 148, 174, 214, 232, 198, 230, 229, 222, 218, 177, 200, 163, 192, 154, 132, 122)(119, 123, 134, 157, 197, 179, 187, 152, 188, 170, 211, 216, 223, 209, 167, 140, 125, 139, 165, 207, 221, 180, 147, 130, 150, 185, 224, 220, 225, 227, 190, 169, 141, 168, 182, 206, 164, 138, 124)(121, 128, 146, 178, 173, 143, 166, 162, 203, 196, 212, 226, 191, 228, 194, 155, 133, 131, 151, 186, 175, 144, 127, 136, 160, 201, 213, 172, 210, 208, 204, 195, 156, 184, 153, 189, 183, 149, 129)
	L = (1, 118)(2, 119)(3, 120)(4, 121)(5, 122)(6, 123)(7, 124)(8, 125)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 131)(15, 132)(16, 133)(17, 134)(18, 135)(19, 136)(20, 137)(21, 138)(22, 139)(23, 140)(24, 141)(25, 142)(26, 143)(27, 144)(28, 145)(29, 146)(30, 147)(31, 148)(32, 149)(33, 150)(34, 151)(35, 152)(36, 153)(37, 154)(38, 155)(39, 156)(40, 157)(41, 158)(42, 159)(43, 160)(44, 161)(45, 162)(46, 163)(47, 164)(48, 165)(49, 166)(50, 167)(51, 168)(52, 169)(53, 170)(54, 171)(55, 172)(56, 173)(57, 174)(58, 175)(59, 176)(60, 177)(61, 178)(62, 179)(63, 180)(64, 181)(65, 182)(66, 183)(67, 184)(68, 185)(69, 186)(70, 187)(71, 188)(72, 189)(73, 190)(74, 191)(75, 192)(76, 193)(77, 194)(78, 195)(79, 196)(80, 197)(81, 198)(82, 199)(83, 200)(84, 201)(85, 202)(86, 203)(87, 204)(88, 205)(89, 206)(90, 207)(91, 208)(92, 209)(93, 210)(94, 211)(95, 212)(96, 213)(97, 214)(98, 215)(99, 216)(100, 217)(101, 218)(102, 219)(103, 220)(104, 221)(105, 222)(106, 223)(107, 224)(108, 225)(109, 226)(110, 227)(111, 228)(112, 229)(113, 230)(114, 231)(115, 232)(116, 233)(117, 234)
	local type(s) :: { ( 6^3 ), ( 6^39 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 117 f = 39
	degree seq :: [ 3^39, 39^3 ]

E19.1970 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 39})
Quotient :: loop
Aut^+ = C3 x (C13 : C3) (small group id <117, 3>)
Aut   = C3 x (C13 : C3) (small group id <117, 3>)
|r| :: 1
Presentation :: [ X1^3, X2^3, (X2^-1 * X1)^3, X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 118, 2, 119, 4, 121)(3, 120, 8, 125, 9, 126)(5, 122, 12, 129, 13, 130)(6, 123, 14, 131, 15, 132)(7, 124, 16, 133, 17, 134)(10, 127, 21, 138, 22, 139)(11, 128, 23, 140, 24, 141)(18, 135, 33, 150, 34, 151)(19, 136, 26, 143, 35, 152)(20, 137, 36, 153, 37, 154)(25, 142, 42, 159, 43, 160)(27, 144, 44, 161, 45, 162)(28, 145, 46, 163, 47, 164)(29, 146, 31, 148, 48, 165)(30, 147, 49, 166, 50, 167)(32, 149, 51, 168, 52, 169)(38, 155, 59, 176, 60, 177)(39, 156, 40, 157, 61, 178)(41, 158, 62, 179, 63, 180)(53, 170, 76, 193, 77, 194)(54, 171, 56, 173, 78, 195)(55, 172, 79, 196, 80, 197)(57, 174, 66, 183, 81, 198)(58, 175, 82, 199, 83, 200)(64, 181, 90, 207, 91, 208)(65, 182, 92, 209, 93, 210)(67, 184, 94, 211, 95, 212)(68, 185, 96, 213, 97, 214)(69, 186, 71, 188, 98, 215)(70, 187, 99, 216, 100, 217)(72, 189, 74, 191, 101, 218)(73, 190, 102, 219, 103, 220)(75, 192, 104, 221, 105, 222)(84, 201, 108, 225, 112, 229)(85, 202, 86, 203, 111, 228)(87, 204, 88, 205, 113, 230)(89, 206, 107, 224, 109, 226)(106, 223, 116, 233, 114, 231)(110, 227, 115, 232, 117, 234)
	L = (1, 120)(2, 123)(3, 122)(4, 127)(5, 118)(6, 124)(7, 119)(8, 135)(9, 133)(10, 128)(11, 121)(12, 142)(13, 143)(14, 145)(15, 140)(16, 137)(17, 148)(18, 136)(19, 125)(20, 126)(21, 155)(22, 129)(23, 147)(24, 157)(25, 139)(26, 144)(27, 130)(28, 146)(29, 131)(30, 132)(31, 149)(32, 134)(33, 170)(34, 153)(35, 173)(36, 172)(37, 168)(38, 156)(39, 138)(40, 158)(41, 141)(42, 181)(43, 161)(44, 182)(45, 183)(46, 185)(47, 166)(48, 188)(49, 187)(50, 179)(51, 175)(52, 191)(53, 171)(54, 150)(55, 151)(56, 174)(57, 152)(58, 154)(59, 201)(60, 159)(61, 203)(62, 190)(63, 205)(64, 177)(65, 160)(66, 184)(67, 162)(68, 186)(69, 163)(70, 164)(71, 189)(72, 165)(73, 167)(74, 192)(75, 169)(76, 217)(77, 196)(78, 220)(79, 223)(80, 199)(81, 226)(82, 225)(83, 221)(84, 202)(85, 176)(86, 204)(87, 178)(88, 206)(89, 180)(90, 231)(91, 209)(92, 213)(93, 211)(94, 215)(95, 232)(96, 208)(97, 216)(98, 210)(99, 233)(100, 219)(101, 212)(102, 193)(103, 224)(104, 228)(105, 234)(106, 194)(107, 195)(108, 197)(109, 227)(110, 198)(111, 200)(112, 207)(113, 222)(114, 229)(115, 218)(116, 214)(117, 230)
	local type(s) :: { ( 3, 39, 3, 39, 3, 39 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 39 e = 117 f = 42
	degree seq :: [ 6^39 ]

E19.1971 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {3, 3, 39})
Quotient :: loop
Aut^+ = C3 x (C13 : C3) (small group id <117, 3>)
Aut   = (C3 x (C13 : C3)) : C2 (small group id <234, 9>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, F * T1 * F * T2, (T1 * T2^-1)^3, T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 6, 7)(4, 10, 11)(8, 18, 19)(9, 16, 20)(12, 25, 22)(13, 26, 27)(14, 28, 29)(15, 23, 30)(17, 31, 32)(21, 38, 39)(24, 40, 41)(33, 53, 54)(34, 36, 55)(35, 56, 57)(37, 51, 58)(42, 64, 60)(43, 44, 65)(45, 66, 67)(46, 68, 69)(47, 49, 70)(48, 71, 72)(50, 62, 73)(52, 74, 75)(59, 84, 85)(61, 86, 87)(63, 88, 89)(76, 100, 102)(77, 79, 106)(78, 103, 107)(80, 82, 108)(81, 109, 110)(83, 104, 111)(90, 114, 112)(91, 92, 96)(93, 94, 98)(95, 115, 101)(97, 99, 116)(105, 117, 113)(118, 119, 121)(120, 125, 126)(122, 129, 130)(123, 131, 132)(124, 133, 134)(127, 138, 139)(128, 140, 141)(135, 150, 151)(136, 143, 152)(137, 153, 154)(142, 159, 160)(144, 161, 162)(145, 163, 164)(146, 148, 165)(147, 166, 167)(149, 168, 169)(155, 176, 177)(156, 157, 178)(158, 179, 180)(170, 193, 194)(171, 173, 195)(172, 196, 197)(174, 183, 198)(175, 199, 200)(181, 207, 208)(182, 209, 210)(184, 211, 212)(185, 213, 214)(186, 188, 215)(187, 216, 217)(189, 191, 218)(190, 219, 220)(192, 221, 222)(201, 225, 229)(202, 203, 228)(204, 205, 230)(206, 224, 226)(223, 233, 231)(227, 232, 234)
	L = (1, 118)(2, 119)(3, 120)(4, 121)(5, 122)(6, 123)(7, 124)(8, 125)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 131)(15, 132)(16, 133)(17, 134)(18, 135)(19, 136)(20, 137)(21, 138)(22, 139)(23, 140)(24, 141)(25, 142)(26, 143)(27, 144)(28, 145)(29, 146)(30, 147)(31, 148)(32, 149)(33, 150)(34, 151)(35, 152)(36, 153)(37, 154)(38, 155)(39, 156)(40, 157)(41, 158)(42, 159)(43, 160)(44, 161)(45, 162)(46, 163)(47, 164)(48, 165)(49, 166)(50, 167)(51, 168)(52, 169)(53, 170)(54, 171)(55, 172)(56, 173)(57, 174)(58, 175)(59, 176)(60, 177)(61, 178)(62, 179)(63, 180)(64, 181)(65, 182)(66, 183)(67, 184)(68, 185)(69, 186)(70, 187)(71, 188)(72, 189)(73, 190)(74, 191)(75, 192)(76, 193)(77, 194)(78, 195)(79, 196)(80, 197)(81, 198)(82, 199)(83, 200)(84, 201)(85, 202)(86, 203)(87, 204)(88, 205)(89, 206)(90, 207)(91, 208)(92, 209)(93, 210)(94, 211)(95, 212)(96, 213)(97, 214)(98, 215)(99, 216)(100, 217)(101, 218)(102, 219)(103, 220)(104, 221)(105, 222)(106, 223)(107, 224)(108, 225)(109, 226)(110, 227)(111, 228)(112, 229)(113, 230)(114, 231)(115, 232)(116, 233)(117, 234)
	local type(s) :: { ( 78^3 ) }
Outer automorphisms :: reflexible
Dual of E19.1972
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 78 e = 117 f = 3
	degree seq :: [ 3^78 ]

E19.1972 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {3, 3, 39})
Quotient :: edge
Aut^+ = C3 x (C13 : C3) (small group id <117, 3>)
Aut   = (C3 x (C13 : C3)) : C2 (small group id <234, 9>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, F * T1 * T2 * F * T1^-1, (T1^-1 * T2^-1)^3, (T2 * T1^-1)^3, (T2^-1 * T1^-1)^3, T2^-2 * T1^-1 * T2^5 * T1, (T1^-1 * T2^2 * T1 * F)^2 ]
Map:: polytopal non-degenerate
	R = (1, 118, 3, 120, 9, 126, 25, 142, 54, 171, 41, 158, 76, 193, 64, 181, 98, 215, 102, 219, 114, 231, 116, 233, 88, 205, 117, 234, 100, 217, 59, 176, 28, 145, 20, 137, 44, 161, 85, 202, 82, 199, 42, 159, 18, 135, 31, 148, 57, 174, 97, 214, 115, 232, 81, 198, 113, 230, 112, 229, 105, 222, 101, 218, 60, 177, 83, 200, 46, 163, 75, 192, 37, 154, 15, 132, 5, 122)(2, 119, 6, 123, 17, 134, 40, 157, 80, 197, 62, 179, 70, 187, 35, 152, 71, 188, 53, 170, 94, 211, 99, 216, 106, 223, 92, 209, 50, 167, 23, 140, 8, 125, 22, 139, 48, 165, 90, 207, 104, 221, 63, 180, 30, 147, 13, 130, 33, 150, 68, 185, 107, 224, 103, 220, 108, 225, 110, 227, 73, 190, 52, 169, 24, 141, 51, 168, 65, 182, 89, 206, 47, 164, 21, 138, 7, 124)(4, 121, 11, 128, 29, 146, 61, 178, 56, 173, 26, 143, 49, 166, 45, 162, 86, 203, 79, 196, 95, 212, 109, 226, 74, 191, 111, 228, 77, 194, 38, 155, 16, 133, 14, 131, 34, 151, 69, 186, 58, 175, 27, 144, 10, 127, 19, 136, 43, 160, 84, 201, 96, 213, 55, 172, 93, 210, 91, 208, 87, 204, 78, 195, 39, 156, 67, 184, 36, 153, 72, 189, 66, 183, 32, 149, 12, 129)
	L = (1, 119)(2, 121)(3, 125)(4, 118)(5, 130)(6, 133)(7, 136)(8, 127)(9, 141)(10, 120)(11, 145)(12, 148)(13, 131)(14, 122)(15, 152)(16, 135)(17, 156)(18, 123)(19, 137)(20, 124)(21, 162)(22, 129)(23, 166)(24, 143)(25, 170)(26, 126)(27, 174)(28, 147)(29, 177)(30, 128)(31, 139)(32, 181)(33, 184)(34, 176)(35, 153)(36, 132)(37, 190)(38, 193)(39, 158)(40, 196)(41, 134)(42, 150)(43, 200)(44, 140)(45, 163)(46, 138)(47, 204)(48, 155)(49, 161)(50, 208)(51, 144)(52, 210)(53, 172)(54, 185)(55, 142)(56, 214)(57, 168)(58, 215)(59, 187)(60, 179)(61, 219)(62, 146)(63, 160)(64, 182)(65, 149)(66, 222)(67, 159)(68, 212)(69, 218)(70, 151)(71, 226)(72, 217)(73, 191)(74, 154)(75, 167)(76, 165)(77, 229)(78, 230)(79, 198)(80, 201)(81, 157)(82, 188)(83, 180)(84, 231)(85, 169)(86, 233)(87, 205)(88, 164)(89, 194)(90, 195)(91, 192)(92, 228)(93, 202)(94, 173)(95, 171)(96, 232)(97, 211)(98, 216)(99, 175)(100, 227)(101, 225)(102, 220)(103, 178)(104, 203)(105, 223)(106, 183)(107, 213)(108, 186)(109, 199)(110, 189)(111, 234)(112, 206)(113, 207)(114, 197)(115, 224)(116, 221)(117, 209)
	local type(s) :: { ( 3^78 ) }
Outer automorphisms :: reflexible
Dual of E19.1971
Transitivity :: ET+ VT+
Graph::
	v = 3 e = 117 f = 78
	degree seq :: [ 78^3 ]

E19.1973 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 39})
Quotient :: edge^2
Aut^+ = C3 x (C13 : C3) (small group id <117, 3>)
Aut   = (C3 x (C13 : C3)) : C2 (small group id <234, 9>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3, (Y2 * Y3^-1)^3, (Y3 * Y1^-1)^3, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1, Y3^4 * Y2^-1 * Y3^-2 * Y1^-1, Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y1^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 118, 4, 121, 15, 132, 40, 157, 59, 176, 61, 178, 64, 181, 35, 152, 74, 191, 92, 209, 110, 227, 111, 228, 112, 229, 117, 234, 95, 212, 48, 165, 19, 136, 30, 147, 50, 167, 87, 204, 58, 175, 24, 141, 26, 143, 11, 128, 32, 149, 71, 188, 102, 219, 103, 220, 106, 223, 108, 225, 77, 194, 93, 210, 47, 164, 67, 184, 69, 186, 97, 214, 57, 174, 23, 140, 7, 124)(2, 119, 8, 125, 25, 142, 60, 177, 90, 207, 91, 208, 94, 211, 55, 172, 85, 202, 42, 159, 72, 189, 75, 192, 78, 195, 98, 215, 51, 168, 20, 137, 6, 123, 12, 129, 34, 151, 73, 190, 89, 206, 44, 161, 46, 163, 21, 138, 52, 169, 84, 201, 113, 230, 114, 231, 115, 232, 116, 233, 88, 205, 43, 160, 17, 134, 33, 150, 36, 153, 76, 193, 70, 187, 31, 148, 10, 127)(3, 120, 5, 122, 18, 135, 45, 162, 81, 198, 39, 156, 41, 158, 49, 166, 68, 185, 105, 222, 62, 179, 99, 216, 100, 217, 101, 218, 109, 226, 65, 182, 28, 145, 9, 126, 22, 139, 54, 171, 80, 197, 38, 155, 14, 131, 16, 133, 29, 146, 66, 183, 104, 221, 82, 199, 83, 200, 86, 203, 96, 213, 107, 224, 63, 180, 27, 144, 53, 170, 56, 173, 79, 196, 37, 154, 13, 130)(235, 236, 239)(237, 245, 246)(238, 240, 250)(241, 255, 256)(242, 243, 260)(244, 263, 264)(247, 269, 270)(248, 266, 267)(249, 251, 275)(252, 253, 280)(254, 283, 284)(257, 289, 290)(258, 286, 287)(259, 261, 295)(262, 298, 268)(265, 302, 303)(271, 311, 312)(272, 308, 309)(273, 305, 306)(274, 276, 317)(277, 320, 321)(278, 300, 301)(279, 281, 325)(282, 328, 288)(285, 330, 331)(291, 322, 335)(292, 319, 334)(293, 318, 333)(294, 296, 337)(297, 340, 307)(299, 342, 310)(304, 341, 346)(313, 329, 350)(314, 327, 349)(315, 326, 348)(316, 336, 347)(323, 339, 345)(324, 338, 344)(332, 343, 351)(352, 354, 357)(353, 358, 360)(355, 365, 368)(356, 361, 370)(359, 375, 378)(362, 364, 384)(363, 377, 379)(366, 390, 393)(367, 371, 381)(369, 395, 398)(372, 374, 404)(373, 397, 399)(376, 410, 413)(380, 382, 418)(383, 389, 423)(385, 412, 414)(386, 388, 426)(387, 415, 416)(391, 433, 435)(392, 394, 401)(396, 441, 443)(400, 402, 420)(403, 409, 450)(405, 442, 444)(406, 408, 451)(407, 445, 446)(411, 453, 455)(417, 440, 461)(419, 421, 462)(422, 432, 464)(424, 454, 456)(425, 431, 465)(427, 457, 458)(428, 430, 466)(429, 459, 460)(434, 436, 438)(437, 439, 448)(447, 449, 463)(452, 467, 468)
	L = (1, 235)(2, 236)(3, 237)(4, 238)(5, 239)(6, 240)(7, 241)(8, 242)(9, 243)(10, 244)(11, 245)(12, 246)(13, 247)(14, 248)(15, 249)(16, 250)(17, 251)(18, 252)(19, 253)(20, 254)(21, 255)(22, 256)(23, 257)(24, 258)(25, 259)(26, 260)(27, 261)(28, 262)(29, 263)(30, 264)(31, 265)(32, 266)(33, 267)(34, 268)(35, 269)(36, 270)(37, 271)(38, 272)(39, 273)(40, 274)(41, 275)(42, 276)(43, 277)(44, 278)(45, 279)(46, 280)(47, 281)(48, 282)(49, 283)(50, 284)(51, 285)(52, 286)(53, 287)(54, 288)(55, 289)(56, 290)(57, 291)(58, 292)(59, 293)(60, 294)(61, 295)(62, 296)(63, 297)(64, 298)(65, 299)(66, 300)(67, 301)(68, 302)(69, 303)(70, 304)(71, 305)(72, 306)(73, 307)(74, 308)(75, 309)(76, 310)(77, 311)(78, 312)(79, 313)(80, 314)(81, 315)(82, 316)(83, 317)(84, 318)(85, 319)(86, 320)(87, 321)(88, 322)(89, 323)(90, 324)(91, 325)(92, 326)(93, 327)(94, 328)(95, 329)(96, 330)(97, 331)(98, 332)(99, 333)(100, 334)(101, 335)(102, 336)(103, 337)(104, 338)(105, 339)(106, 340)(107, 341)(108, 342)(109, 343)(110, 344)(111, 345)(112, 346)(113, 347)(114, 348)(115, 349)(116, 350)(117, 351)(118, 352)(119, 353)(120, 354)(121, 355)(122, 356)(123, 357)(124, 358)(125, 359)(126, 360)(127, 361)(128, 362)(129, 363)(130, 364)(131, 365)(132, 366)(133, 367)(134, 368)(135, 369)(136, 370)(137, 371)(138, 372)(139, 373)(140, 374)(141, 375)(142, 376)(143, 377)(144, 378)(145, 379)(146, 380)(147, 381)(148, 382)(149, 383)(150, 384)(151, 385)(152, 386)(153, 387)(154, 388)(155, 389)(156, 390)(157, 391)(158, 392)(159, 393)(160, 394)(161, 395)(162, 396)(163, 397)(164, 398)(165, 399)(166, 400)(167, 401)(168, 402)(169, 403)(170, 404)(171, 405)(172, 406)(173, 407)(174, 408)(175, 409)(176, 410)(177, 411)(178, 412)(179, 413)(180, 414)(181, 415)(182, 416)(183, 417)(184, 418)(185, 419)(186, 420)(187, 421)(188, 422)(189, 423)(190, 424)(191, 425)(192, 426)(193, 427)(194, 428)(195, 429)(196, 430)(197, 431)(198, 432)(199, 433)(200, 434)(201, 435)(202, 436)(203, 437)(204, 438)(205, 439)(206, 440)(207, 441)(208, 442)(209, 443)(210, 444)(211, 445)(212, 446)(213, 447)(214, 448)(215, 449)(216, 450)(217, 451)(218, 452)(219, 453)(220, 454)(221, 455)(222, 456)(223, 457)(224, 458)(225, 459)(226, 460)(227, 461)(228, 462)(229, 463)(230, 464)(231, 465)(232, 466)(233, 467)(234, 468)
	local type(s) :: { ( 4^3 ), ( 4^78 ) }
Outer automorphisms :: reflexible
Dual of E19.1976
Graph:: simple bipartite
	v = 81 e = 234 f = 117
	degree seq :: [ 3^78, 78^3 ]

E19.1974 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 39})
Quotient :: edge^2
Aut^+ = C3 x (C13 : C3) (small group id <117, 3>)
Aut   = (C3 x (C13 : C3)) : C2 (small group id <234, 9>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2^-1)^3, Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y1^-1 * Y3^-1 * Y2^-1)^39 ]
Map:: polytopal
	R = (1, 118)(2, 119)(3, 120)(4, 121)(5, 122)(6, 123)(7, 124)(8, 125)(9, 126)(10, 127)(11, 128)(12, 129)(13, 130)(14, 131)(15, 132)(16, 133)(17, 134)(18, 135)(19, 136)(20, 137)(21, 138)(22, 139)(23, 140)(24, 141)(25, 142)(26, 143)(27, 144)(28, 145)(29, 146)(30, 147)(31, 148)(32, 149)(33, 150)(34, 151)(35, 152)(36, 153)(37, 154)(38, 155)(39, 156)(40, 157)(41, 158)(42, 159)(43, 160)(44, 161)(45, 162)(46, 163)(47, 164)(48, 165)(49, 166)(50, 167)(51, 168)(52, 169)(53, 170)(54, 171)(55, 172)(56, 173)(57, 174)(58, 175)(59, 176)(60, 177)(61, 178)(62, 179)(63, 180)(64, 181)(65, 182)(66, 183)(67, 184)(68, 185)(69, 186)(70, 187)(71, 188)(72, 189)(73, 190)(74, 191)(75, 192)(76, 193)(77, 194)(78, 195)(79, 196)(80, 197)(81, 198)(82, 199)(83, 200)(84, 201)(85, 202)(86, 203)(87, 204)(88, 205)(89, 206)(90, 207)(91, 208)(92, 209)(93, 210)(94, 211)(95, 212)(96, 213)(97, 214)(98, 215)(99, 216)(100, 217)(101, 218)(102, 219)(103, 220)(104, 221)(105, 222)(106, 223)(107, 224)(108, 225)(109, 226)(110, 227)(111, 228)(112, 229)(113, 230)(114, 231)(115, 232)(116, 233)(117, 234)(235, 236, 238)(237, 242, 243)(239, 246, 247)(240, 248, 249)(241, 250, 251)(244, 255, 256)(245, 257, 258)(252, 267, 268)(253, 260, 269)(254, 270, 271)(259, 276, 277)(261, 278, 279)(262, 280, 281)(263, 265, 282)(264, 283, 284)(266, 285, 286)(272, 293, 294)(273, 274, 295)(275, 296, 297)(287, 310, 311)(288, 290, 312)(289, 313, 314)(291, 300, 315)(292, 316, 317)(298, 324, 325)(299, 326, 327)(301, 328, 329)(302, 330, 331)(303, 305, 332)(304, 333, 334)(306, 308, 335)(307, 336, 337)(309, 338, 339)(318, 342, 346)(319, 320, 345)(321, 322, 347)(323, 341, 343)(340, 350, 348)(344, 349, 351)(352, 354, 356)(353, 357, 358)(355, 361, 362)(359, 369, 370)(360, 367, 371)(363, 376, 373)(364, 377, 378)(365, 379, 380)(366, 374, 381)(368, 382, 383)(372, 389, 390)(375, 391, 392)(384, 404, 405)(385, 387, 406)(386, 407, 408)(388, 402, 409)(393, 415, 411)(394, 395, 416)(396, 417, 418)(397, 419, 420)(398, 400, 421)(399, 422, 423)(401, 413, 424)(403, 425, 426)(410, 435, 436)(412, 437, 438)(414, 439, 440)(427, 451, 453)(428, 430, 457)(429, 454, 458)(431, 433, 459)(432, 460, 461)(434, 455, 462)(441, 465, 463)(442, 443, 447)(444, 445, 449)(446, 466, 452)(448, 450, 467)(456, 468, 464)
	L = (1, 235)(2, 236)(3, 237)(4, 238)(5, 239)(6, 240)(7, 241)(8, 242)(9, 243)(10, 244)(11, 245)(12, 246)(13, 247)(14, 248)(15, 249)(16, 250)(17, 251)(18, 252)(19, 253)(20, 254)(21, 255)(22, 256)(23, 257)(24, 258)(25, 259)(26, 260)(27, 261)(28, 262)(29, 263)(30, 264)(31, 265)(32, 266)(33, 267)(34, 268)(35, 269)(36, 270)(37, 271)(38, 272)(39, 273)(40, 274)(41, 275)(42, 276)(43, 277)(44, 278)(45, 279)(46, 280)(47, 281)(48, 282)(49, 283)(50, 284)(51, 285)(52, 286)(53, 287)(54, 288)(55, 289)(56, 290)(57, 291)(58, 292)(59, 293)(60, 294)(61, 295)(62, 296)(63, 297)(64, 298)(65, 299)(66, 300)(67, 301)(68, 302)(69, 303)(70, 304)(71, 305)(72, 306)(73, 307)(74, 308)(75, 309)(76, 310)(77, 311)(78, 312)(79, 313)(80, 314)(81, 315)(82, 316)(83, 317)(84, 318)(85, 319)(86, 320)(87, 321)(88, 322)(89, 323)(90, 324)(91, 325)(92, 326)(93, 327)(94, 328)(95, 329)(96, 330)(97, 331)(98, 332)(99, 333)(100, 334)(101, 335)(102, 336)(103, 337)(104, 338)(105, 339)(106, 340)(107, 341)(108, 342)(109, 343)(110, 344)(111, 345)(112, 346)(113, 347)(114, 348)(115, 349)(116, 350)(117, 351)(118, 352)(119, 353)(120, 354)(121, 355)(122, 356)(123, 357)(124, 358)(125, 359)(126, 360)(127, 361)(128, 362)(129, 363)(130, 364)(131, 365)(132, 366)(133, 367)(134, 368)(135, 369)(136, 370)(137, 371)(138, 372)(139, 373)(140, 374)(141, 375)(142, 376)(143, 377)(144, 378)(145, 379)(146, 380)(147, 381)(148, 382)(149, 383)(150, 384)(151, 385)(152, 386)(153, 387)(154, 388)(155, 389)(156, 390)(157, 391)(158, 392)(159, 393)(160, 394)(161, 395)(162, 396)(163, 397)(164, 398)(165, 399)(166, 400)(167, 401)(168, 402)(169, 403)(170, 404)(171, 405)(172, 406)(173, 407)(174, 408)(175, 409)(176, 410)(177, 411)(178, 412)(179, 413)(180, 414)(181, 415)(182, 416)(183, 417)(184, 418)(185, 419)(186, 420)(187, 421)(188, 422)(189, 423)(190, 424)(191, 425)(192, 426)(193, 427)(194, 428)(195, 429)(196, 430)(197, 431)(198, 432)(199, 433)(200, 434)(201, 435)(202, 436)(203, 437)(204, 438)(205, 439)(206, 440)(207, 441)(208, 442)(209, 443)(210, 444)(211, 445)(212, 446)(213, 447)(214, 448)(215, 449)(216, 450)(217, 451)(218, 452)(219, 453)(220, 454)(221, 455)(222, 456)(223, 457)(224, 458)(225, 459)(226, 460)(227, 461)(228, 462)(229, 463)(230, 464)(231, 465)(232, 466)(233, 467)(234, 468)
	local type(s) :: { ( 156, 156 ), ( 156^3 ) }
Outer automorphisms :: reflexible
Dual of E19.1975
Graph:: simple bipartite
	v = 195 e = 234 f = 3
	degree seq :: [ 2^117, 3^78 ]

E19.1975 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 39})
Quotient :: loop^2
Aut^+ = C3 x (C13 : C3) (small group id <117, 3>)
Aut   = (C3 x (C13 : C3)) : C2 (small group id <234, 9>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3, (Y2 * Y3^-1)^3, (Y3 * Y1^-1)^3, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1, Y3^4 * Y2^-1 * Y3^-2 * Y1^-1, Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y1^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 118, 235, 352, 4, 121, 238, 355, 15, 132, 249, 366, 40, 157, 274, 391, 59, 176, 293, 410, 61, 178, 295, 412, 64, 181, 298, 415, 35, 152, 269, 386, 74, 191, 308, 425, 92, 209, 326, 443, 110, 227, 344, 461, 111, 228, 345, 462, 112, 229, 346, 463, 117, 234, 351, 468, 95, 212, 329, 446, 48, 165, 282, 399, 19, 136, 253, 370, 30, 147, 264, 381, 50, 167, 284, 401, 87, 204, 321, 438, 58, 175, 292, 409, 24, 141, 258, 375, 26, 143, 260, 377, 11, 128, 245, 362, 32, 149, 266, 383, 71, 188, 305, 422, 102, 219, 336, 453, 103, 220, 337, 454, 106, 223, 340, 457, 108, 225, 342, 459, 77, 194, 311, 428, 93, 210, 327, 444, 47, 164, 281, 398, 67, 184, 301, 418, 69, 186, 303, 420, 97, 214, 331, 448, 57, 174, 291, 408, 23, 140, 257, 374, 7, 124, 241, 358)(2, 119, 236, 353, 8, 125, 242, 359, 25, 142, 259, 376, 60, 177, 294, 411, 90, 207, 324, 441, 91, 208, 325, 442, 94, 211, 328, 445, 55, 172, 289, 406, 85, 202, 319, 436, 42, 159, 276, 393, 72, 189, 306, 423, 75, 192, 309, 426, 78, 195, 312, 429, 98, 215, 332, 449, 51, 168, 285, 402, 20, 137, 254, 371, 6, 123, 240, 357, 12, 129, 246, 363, 34, 151, 268, 385, 73, 190, 307, 424, 89, 206, 323, 440, 44, 161, 278, 395, 46, 163, 280, 397, 21, 138, 255, 372, 52, 169, 286, 403, 84, 201, 318, 435, 113, 230, 347, 464, 114, 231, 348, 465, 115, 232, 349, 466, 116, 233, 350, 467, 88, 205, 322, 439, 43, 160, 277, 394, 17, 134, 251, 368, 33, 150, 267, 384, 36, 153, 270, 387, 76, 193, 310, 427, 70, 187, 304, 421, 31, 148, 265, 382, 10, 127, 244, 361)(3, 120, 237, 354, 5, 122, 239, 356, 18, 135, 252, 369, 45, 162, 279, 396, 81, 198, 315, 432, 39, 156, 273, 390, 41, 158, 275, 392, 49, 166, 283, 400, 68, 185, 302, 419, 105, 222, 339, 456, 62, 179, 296, 413, 99, 216, 333, 450, 100, 217, 334, 451, 101, 218, 335, 452, 109, 226, 343, 460, 65, 182, 299, 416, 28, 145, 262, 379, 9, 126, 243, 360, 22, 139, 256, 373, 54, 171, 288, 405, 80, 197, 314, 431, 38, 155, 272, 389, 14, 131, 248, 365, 16, 133, 250, 367, 29, 146, 263, 380, 66, 183, 300, 417, 104, 221, 338, 455, 82, 199, 316, 433, 83, 200, 317, 434, 86, 203, 320, 437, 96, 213, 330, 447, 107, 224, 341, 458, 63, 180, 297, 414, 27, 144, 261, 378, 53, 170, 287, 404, 56, 173, 290, 407, 79, 196, 313, 430, 37, 154, 271, 388, 13, 130, 247, 364)
	L = (1, 119)(2, 122)(3, 128)(4, 123)(5, 118)(6, 133)(7, 138)(8, 126)(9, 143)(10, 146)(11, 129)(12, 120)(13, 152)(14, 149)(15, 134)(16, 121)(17, 158)(18, 136)(19, 163)(20, 166)(21, 139)(22, 124)(23, 172)(24, 169)(25, 144)(26, 125)(27, 178)(28, 181)(29, 147)(30, 127)(31, 185)(32, 150)(33, 131)(34, 145)(35, 153)(36, 130)(37, 194)(38, 191)(39, 188)(40, 159)(41, 132)(42, 200)(43, 203)(44, 183)(45, 164)(46, 135)(47, 208)(48, 211)(49, 167)(50, 137)(51, 213)(52, 170)(53, 141)(54, 165)(55, 173)(56, 140)(57, 205)(58, 202)(59, 201)(60, 179)(61, 142)(62, 220)(63, 223)(64, 151)(65, 225)(66, 184)(67, 161)(68, 186)(69, 148)(70, 224)(71, 189)(72, 156)(73, 180)(74, 192)(75, 155)(76, 182)(77, 195)(78, 154)(79, 212)(80, 210)(81, 209)(82, 219)(83, 157)(84, 216)(85, 217)(86, 204)(87, 160)(88, 218)(89, 222)(90, 221)(91, 162)(92, 231)(93, 232)(94, 171)(95, 233)(96, 214)(97, 168)(98, 226)(99, 176)(100, 175)(101, 174)(102, 230)(103, 177)(104, 227)(105, 228)(106, 190)(107, 229)(108, 193)(109, 234)(110, 207)(111, 206)(112, 187)(113, 199)(114, 198)(115, 197)(116, 196)(117, 215)(235, 354)(236, 358)(237, 357)(238, 365)(239, 361)(240, 352)(241, 360)(242, 375)(243, 353)(244, 370)(245, 364)(246, 377)(247, 384)(248, 368)(249, 390)(250, 371)(251, 355)(252, 395)(253, 356)(254, 381)(255, 374)(256, 397)(257, 404)(258, 378)(259, 410)(260, 379)(261, 359)(262, 363)(263, 382)(264, 367)(265, 418)(266, 389)(267, 362)(268, 412)(269, 388)(270, 415)(271, 426)(272, 423)(273, 393)(274, 433)(275, 394)(276, 366)(277, 401)(278, 398)(279, 441)(280, 399)(281, 369)(282, 373)(283, 402)(284, 392)(285, 420)(286, 409)(287, 372)(288, 442)(289, 408)(290, 445)(291, 451)(292, 450)(293, 413)(294, 453)(295, 414)(296, 376)(297, 385)(298, 416)(299, 387)(300, 440)(301, 380)(302, 421)(303, 400)(304, 462)(305, 432)(306, 383)(307, 454)(308, 431)(309, 386)(310, 457)(311, 430)(312, 459)(313, 466)(314, 465)(315, 464)(316, 435)(317, 436)(318, 391)(319, 438)(320, 439)(321, 434)(322, 448)(323, 461)(324, 443)(325, 444)(326, 396)(327, 405)(328, 446)(329, 407)(330, 449)(331, 437)(332, 463)(333, 403)(334, 406)(335, 467)(336, 455)(337, 456)(338, 411)(339, 424)(340, 458)(341, 427)(342, 460)(343, 429)(344, 417)(345, 419)(346, 447)(347, 422)(348, 425)(349, 428)(350, 468)(351, 452)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E19.1974
Transitivity :: VT+
Graph::
	v = 3 e = 234 f = 195
	degree seq :: [ 156^3 ]

E19.1976 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 39})
Quotient :: loop^2
Aut^+ = C3 x (C13 : C3) (small group id <117, 3>)
Aut   = (C3 x (C13 : C3)) : C2 (small group id <234, 9>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2^-1)^3, Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y1^-1 * Y3^-1 * Y2^-1)^39 ]
Map:: polytopal non-degenerate
	R = (1, 118, 235, 352)(2, 119, 236, 353)(3, 120, 237, 354)(4, 121, 238, 355)(5, 122, 239, 356)(6, 123, 240, 357)(7, 124, 241, 358)(8, 125, 242, 359)(9, 126, 243, 360)(10, 127, 244, 361)(11, 128, 245, 362)(12, 129, 246, 363)(13, 130, 247, 364)(14, 131, 248, 365)(15, 132, 249, 366)(16, 133, 250, 367)(17, 134, 251, 368)(18, 135, 252, 369)(19, 136, 253, 370)(20, 137, 254, 371)(21, 138, 255, 372)(22, 139, 256, 373)(23, 140, 257, 374)(24, 141, 258, 375)(25, 142, 259, 376)(26, 143, 260, 377)(27, 144, 261, 378)(28, 145, 262, 379)(29, 146, 263, 380)(30, 147, 264, 381)(31, 148, 265, 382)(32, 149, 266, 383)(33, 150, 267, 384)(34, 151, 268, 385)(35, 152, 269, 386)(36, 153, 270, 387)(37, 154, 271, 388)(38, 155, 272, 389)(39, 156, 273, 390)(40, 157, 274, 391)(41, 158, 275, 392)(42, 159, 276, 393)(43, 160, 277, 394)(44, 161, 278, 395)(45, 162, 279, 396)(46, 163, 280, 397)(47, 164, 281, 398)(48, 165, 282, 399)(49, 166, 283, 400)(50, 167, 284, 401)(51, 168, 285, 402)(52, 169, 286, 403)(53, 170, 287, 404)(54, 171, 288, 405)(55, 172, 289, 406)(56, 173, 290, 407)(57, 174, 291, 408)(58, 175, 292, 409)(59, 176, 293, 410)(60, 177, 294, 411)(61, 178, 295, 412)(62, 179, 296, 413)(63, 180, 297, 414)(64, 181, 298, 415)(65, 182, 299, 416)(66, 183, 300, 417)(67, 184, 301, 418)(68, 185, 302, 419)(69, 186, 303, 420)(70, 187, 304, 421)(71, 188, 305, 422)(72, 189, 306, 423)(73, 190, 307, 424)(74, 191, 308, 425)(75, 192, 309, 426)(76, 193, 310, 427)(77, 194, 311, 428)(78, 195, 312, 429)(79, 196, 313, 430)(80, 197, 314, 431)(81, 198, 315, 432)(82, 199, 316, 433)(83, 200, 317, 434)(84, 201, 318, 435)(85, 202, 319, 436)(86, 203, 320, 437)(87, 204, 321, 438)(88, 205, 322, 439)(89, 206, 323, 440)(90, 207, 324, 441)(91, 208, 325, 442)(92, 209, 326, 443)(93, 210, 327, 444)(94, 211, 328, 445)(95, 212, 329, 446)(96, 213, 330, 447)(97, 214, 331, 448)(98, 215, 332, 449)(99, 216, 333, 450)(100, 217, 334, 451)(101, 218, 335, 452)(102, 219, 336, 453)(103, 220, 337, 454)(104, 221, 338, 455)(105, 222, 339, 456)(106, 223, 340, 457)(107, 224, 341, 458)(108, 225, 342, 459)(109, 226, 343, 460)(110, 227, 344, 461)(111, 228, 345, 462)(112, 229, 346, 463)(113, 230, 347, 464)(114, 231, 348, 465)(115, 232, 349, 466)(116, 233, 350, 467)(117, 234, 351, 468)
	L = (1, 119)(2, 121)(3, 125)(4, 118)(5, 129)(6, 131)(7, 133)(8, 126)(9, 120)(10, 138)(11, 140)(12, 130)(13, 122)(14, 132)(15, 123)(16, 134)(17, 124)(18, 150)(19, 143)(20, 153)(21, 139)(22, 127)(23, 141)(24, 128)(25, 159)(26, 152)(27, 161)(28, 163)(29, 148)(30, 166)(31, 165)(32, 168)(33, 151)(34, 135)(35, 136)(36, 154)(37, 137)(38, 176)(39, 157)(40, 178)(41, 179)(42, 160)(43, 142)(44, 162)(45, 144)(46, 164)(47, 145)(48, 146)(49, 167)(50, 147)(51, 169)(52, 149)(53, 193)(54, 173)(55, 196)(56, 195)(57, 183)(58, 199)(59, 177)(60, 155)(61, 156)(62, 180)(63, 158)(64, 207)(65, 209)(66, 198)(67, 211)(68, 213)(69, 188)(70, 216)(71, 215)(72, 191)(73, 219)(74, 218)(75, 221)(76, 194)(77, 170)(78, 171)(79, 197)(80, 172)(81, 174)(82, 200)(83, 175)(84, 225)(85, 203)(86, 228)(87, 205)(88, 230)(89, 224)(90, 208)(91, 181)(92, 210)(93, 182)(94, 212)(95, 184)(96, 214)(97, 185)(98, 186)(99, 217)(100, 187)(101, 189)(102, 220)(103, 190)(104, 222)(105, 192)(106, 233)(107, 226)(108, 229)(109, 206)(110, 232)(111, 202)(112, 201)(113, 204)(114, 223)(115, 234)(116, 231)(117, 227)(235, 354)(236, 357)(237, 356)(238, 361)(239, 352)(240, 358)(241, 353)(242, 369)(243, 367)(244, 362)(245, 355)(246, 376)(247, 377)(248, 379)(249, 374)(250, 371)(251, 382)(252, 370)(253, 359)(254, 360)(255, 389)(256, 363)(257, 381)(258, 391)(259, 373)(260, 378)(261, 364)(262, 380)(263, 365)(264, 366)(265, 383)(266, 368)(267, 404)(268, 387)(269, 407)(270, 406)(271, 402)(272, 390)(273, 372)(274, 392)(275, 375)(276, 415)(277, 395)(278, 416)(279, 417)(280, 419)(281, 400)(282, 422)(283, 421)(284, 413)(285, 409)(286, 425)(287, 405)(288, 384)(289, 385)(290, 408)(291, 386)(292, 388)(293, 435)(294, 393)(295, 437)(296, 424)(297, 439)(298, 411)(299, 394)(300, 418)(301, 396)(302, 420)(303, 397)(304, 398)(305, 423)(306, 399)(307, 401)(308, 426)(309, 403)(310, 451)(311, 430)(312, 454)(313, 457)(314, 433)(315, 460)(316, 459)(317, 455)(318, 436)(319, 410)(320, 438)(321, 412)(322, 440)(323, 414)(324, 465)(325, 443)(326, 447)(327, 445)(328, 449)(329, 466)(330, 442)(331, 450)(332, 444)(333, 467)(334, 453)(335, 446)(336, 427)(337, 458)(338, 462)(339, 468)(340, 428)(341, 429)(342, 431)(343, 461)(344, 432)(345, 434)(346, 441)(347, 456)(348, 463)(349, 452)(350, 448)(351, 464)
	local type(s) :: { ( 3, 78, 3, 78 ) }
Outer automorphisms :: reflexible
Dual of E19.1973
Transitivity :: VT+
Graph:: simple
	v = 117 e = 234 f = 81
	degree seq :: [ 4^117 ]

E19.1977 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^5, Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2, (Y2 * Y1)^6, Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 10, 130)(6, 126, 12, 132)(8, 128, 15, 135)(11, 131, 20, 140)(13, 133, 23, 143)(14, 134, 25, 145)(16, 136, 28, 148)(17, 137, 30, 150)(18, 138, 31, 151)(19, 139, 33, 153)(21, 141, 36, 156)(22, 142, 38, 158)(24, 144, 41, 161)(26, 146, 44, 164)(27, 147, 46, 166)(29, 149, 49, 169)(32, 152, 53, 173)(34, 154, 56, 176)(35, 155, 58, 178)(37, 157, 61, 181)(39, 159, 51, 171)(40, 160, 64, 184)(42, 162, 67, 187)(43, 163, 69, 189)(45, 165, 57, 177)(47, 167, 73, 193)(48, 168, 75, 195)(50, 170, 76, 196)(52, 172, 78, 198)(54, 174, 81, 201)(55, 175, 83, 203)(59, 179, 87, 207)(60, 180, 89, 209)(62, 182, 90, 210)(63, 183, 91, 211)(65, 185, 94, 214)(66, 186, 95, 215)(68, 188, 98, 218)(70, 190, 100, 220)(71, 191, 102, 222)(72, 192, 103, 223)(74, 194, 105, 225)(77, 197, 109, 229)(79, 199, 101, 221)(80, 200, 99, 219)(82, 202, 108, 228)(84, 204, 107, 227)(85, 205, 113, 233)(86, 206, 93, 213)(88, 208, 114, 234)(92, 212, 115, 235)(96, 216, 117, 237)(97, 217, 104, 224)(106, 226, 112, 232)(110, 230, 118, 238)(111, 231, 119, 239)(116, 236, 120, 240)(241, 361, 243, 363)(242, 362, 245, 365)(244, 364, 248, 368)(246, 366, 251, 371)(247, 367, 253, 373)(249, 369, 256, 376)(250, 370, 258, 378)(252, 372, 261, 381)(254, 374, 264, 384)(255, 375, 266, 386)(257, 377, 269, 389)(259, 379, 272, 392)(260, 380, 274, 394)(262, 382, 277, 397)(263, 383, 279, 399)(265, 385, 282, 402)(267, 387, 285, 405)(268, 388, 287, 407)(270, 390, 290, 410)(271, 391, 291, 411)(273, 393, 294, 414)(275, 395, 297, 417)(276, 396, 299, 419)(278, 398, 302, 422)(280, 400, 303, 423)(281, 401, 305, 425)(283, 403, 308, 428)(284, 404, 310, 430)(286, 406, 312, 432)(288, 408, 314, 434)(289, 409, 306, 426)(292, 412, 317, 437)(293, 413, 319, 439)(295, 415, 322, 442)(296, 416, 324, 444)(298, 418, 326, 446)(300, 420, 328, 448)(301, 421, 320, 440)(304, 424, 332, 452)(307, 427, 336, 456)(309, 429, 339, 459)(311, 431, 341, 461)(313, 433, 340, 460)(315, 435, 346, 466)(316, 436, 348, 468)(318, 438, 350, 470)(321, 441, 351, 471)(323, 443, 335, 455)(325, 445, 334, 454)(327, 447, 347, 467)(329, 449, 344, 464)(330, 450, 338, 458)(331, 451, 345, 465)(333, 453, 356, 476)(337, 457, 358, 478)(342, 462, 359, 479)(343, 463, 360, 480)(349, 469, 354, 474)(352, 472, 355, 475)(353, 473, 357, 477)
	L = (1, 244)(2, 246)(3, 248)(4, 241)(5, 251)(6, 242)(7, 254)(8, 243)(9, 257)(10, 259)(11, 245)(12, 262)(13, 264)(14, 247)(15, 267)(16, 269)(17, 249)(18, 272)(19, 250)(20, 275)(21, 277)(22, 252)(23, 280)(24, 253)(25, 283)(26, 285)(27, 255)(28, 288)(29, 256)(30, 278)(31, 292)(32, 258)(33, 295)(34, 297)(35, 260)(36, 300)(37, 261)(38, 270)(39, 303)(40, 263)(41, 306)(42, 308)(43, 265)(44, 311)(45, 266)(46, 309)(47, 314)(48, 268)(49, 305)(50, 302)(51, 317)(52, 271)(53, 320)(54, 322)(55, 273)(56, 325)(57, 274)(58, 323)(59, 328)(60, 276)(61, 319)(62, 290)(63, 279)(64, 333)(65, 289)(66, 281)(67, 337)(68, 282)(69, 286)(70, 341)(71, 284)(72, 339)(73, 344)(74, 287)(75, 347)(76, 349)(77, 291)(78, 343)(79, 301)(80, 293)(81, 352)(82, 294)(83, 298)(84, 334)(85, 296)(86, 335)(87, 346)(88, 299)(89, 340)(90, 331)(91, 330)(92, 356)(93, 304)(94, 324)(95, 326)(96, 358)(97, 307)(98, 345)(99, 312)(100, 329)(101, 310)(102, 353)(103, 318)(104, 313)(105, 338)(106, 327)(107, 315)(108, 354)(109, 316)(110, 360)(111, 355)(112, 321)(113, 342)(114, 348)(115, 351)(116, 332)(117, 359)(118, 336)(119, 357)(120, 350)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.1980
Graph:: simple bipartite
	v = 120 e = 240 f = 84
	degree seq :: [ 4^120 ]

E19.1978 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2)^4, (Y1 * Y3)^5, Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 10, 130)(6, 126, 12, 132)(8, 128, 15, 135)(11, 131, 20, 140)(13, 133, 18, 138)(14, 134, 24, 144)(16, 136, 27, 147)(17, 137, 29, 149)(19, 139, 31, 151)(21, 141, 34, 154)(22, 142, 36, 156)(23, 143, 37, 157)(25, 145, 40, 160)(26, 146, 42, 162)(28, 148, 44, 164)(30, 150, 46, 166)(32, 152, 49, 169)(33, 153, 51, 171)(35, 155, 53, 173)(38, 158, 57, 177)(39, 159, 59, 179)(41, 161, 61, 181)(43, 163, 63, 183)(45, 165, 66, 186)(47, 167, 60, 180)(48, 168, 69, 189)(50, 170, 70, 190)(52, 172, 55, 175)(54, 174, 74, 194)(56, 176, 76, 196)(58, 178, 77, 197)(62, 182, 81, 201)(64, 184, 83, 203)(65, 185, 85, 205)(67, 187, 87, 207)(68, 188, 88, 208)(71, 191, 92, 212)(72, 192, 93, 213)(73, 193, 95, 215)(75, 195, 97, 217)(78, 198, 101, 221)(79, 199, 86, 206)(80, 200, 103, 223)(82, 202, 104, 224)(84, 204, 105, 225)(89, 209, 109, 229)(90, 210, 96, 216)(91, 211, 100, 220)(94, 214, 106, 226)(98, 218, 112, 232)(99, 219, 113, 233)(102, 222, 110, 230)(107, 227, 118, 238)(108, 228, 119, 239)(111, 231, 115, 235)(114, 234, 116, 236)(117, 237, 120, 240)(241, 361, 243, 363)(242, 362, 245, 365)(244, 364, 248, 368)(246, 366, 251, 371)(247, 367, 253, 373)(249, 369, 256, 376)(250, 370, 258, 378)(252, 372, 261, 381)(254, 374, 263, 383)(255, 375, 265, 385)(257, 377, 268, 388)(259, 379, 270, 390)(260, 380, 272, 392)(262, 382, 275, 395)(264, 384, 278, 398)(266, 386, 281, 401)(267, 387, 280, 400)(269, 389, 285, 405)(271, 391, 287, 407)(273, 393, 290, 410)(274, 394, 289, 409)(276, 396, 294, 414)(277, 397, 295, 415)(279, 399, 298, 418)(282, 402, 302, 422)(283, 403, 300, 420)(284, 404, 304, 424)(286, 406, 303, 423)(288, 408, 308, 428)(291, 411, 311, 431)(292, 412, 297, 417)(293, 413, 312, 432)(296, 416, 315, 435)(299, 419, 318, 438)(301, 421, 319, 439)(305, 425, 324, 444)(306, 426, 323, 443)(307, 427, 322, 442)(309, 429, 329, 449)(310, 430, 330, 450)(313, 433, 334, 454)(314, 434, 333, 453)(316, 436, 338, 458)(317, 437, 339, 459)(320, 440, 342, 462)(321, 441, 326, 446)(325, 445, 346, 466)(327, 447, 347, 467)(328, 448, 348, 468)(331, 451, 350, 470)(332, 452, 336, 456)(335, 455, 345, 465)(337, 457, 351, 471)(340, 460, 354, 474)(341, 461, 353, 473)(343, 463, 356, 476)(344, 464, 357, 477)(349, 469, 359, 479)(352, 472, 355, 475)(358, 478, 360, 480)
	L = (1, 244)(2, 246)(3, 248)(4, 241)(5, 251)(6, 242)(7, 254)(8, 243)(9, 257)(10, 259)(11, 245)(12, 262)(13, 263)(14, 247)(15, 266)(16, 268)(17, 249)(18, 270)(19, 250)(20, 273)(21, 275)(22, 252)(23, 253)(24, 279)(25, 281)(26, 255)(27, 283)(28, 256)(29, 276)(30, 258)(31, 288)(32, 290)(33, 260)(34, 292)(35, 261)(36, 269)(37, 296)(38, 298)(39, 264)(40, 300)(41, 265)(42, 299)(43, 267)(44, 305)(45, 294)(46, 307)(47, 308)(48, 271)(49, 297)(50, 272)(51, 309)(52, 274)(53, 313)(54, 285)(55, 315)(56, 277)(57, 289)(58, 278)(59, 282)(60, 280)(61, 320)(62, 318)(63, 322)(64, 324)(65, 284)(66, 326)(67, 286)(68, 287)(69, 291)(70, 331)(71, 329)(72, 334)(73, 293)(74, 336)(75, 295)(76, 327)(77, 340)(78, 302)(79, 342)(80, 301)(81, 323)(82, 303)(83, 321)(84, 304)(85, 344)(86, 306)(87, 316)(88, 343)(89, 311)(90, 350)(91, 310)(92, 333)(93, 332)(94, 312)(95, 337)(96, 314)(97, 335)(98, 347)(99, 354)(100, 317)(101, 355)(102, 319)(103, 328)(104, 325)(105, 351)(106, 357)(107, 338)(108, 356)(109, 360)(110, 330)(111, 345)(112, 353)(113, 352)(114, 339)(115, 341)(116, 348)(117, 346)(118, 359)(119, 358)(120, 349)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.1981
Graph:: simple bipartite
	v = 120 e = 240 f = 84
	degree seq :: [ 4^120 ]

E19.1979 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y3)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3^-1 * Y1)^5, Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3, Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3, (Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 121, 2, 122)(3, 123, 9, 129)(4, 124, 12, 132)(5, 125, 13, 133)(6, 126, 14, 134)(7, 127, 17, 137)(8, 128, 18, 138)(10, 130, 22, 142)(11, 131, 23, 143)(15, 135, 33, 153)(16, 136, 34, 154)(19, 139, 41, 161)(20, 140, 44, 164)(21, 141, 45, 165)(24, 144, 52, 172)(25, 145, 55, 175)(26, 146, 56, 176)(27, 147, 57, 177)(28, 148, 60, 180)(29, 149, 61, 181)(30, 150, 62, 182)(31, 151, 65, 185)(32, 152, 66, 186)(35, 155, 73, 193)(36, 156, 76, 196)(37, 157, 77, 197)(38, 158, 78, 198)(39, 159, 81, 201)(40, 160, 82, 202)(42, 162, 86, 206)(43, 163, 70, 190)(46, 166, 93, 213)(47, 167, 96, 216)(48, 168, 97, 217)(49, 169, 64, 184)(50, 170, 75, 195)(51, 171, 80, 200)(53, 173, 103, 223)(54, 174, 71, 191)(58, 178, 110, 230)(59, 179, 72, 192)(63, 183, 111, 231)(67, 187, 107, 227)(68, 188, 91, 211)(69, 189, 101, 221)(74, 194, 109, 229)(79, 199, 88, 208)(83, 203, 112, 232)(84, 204, 117, 237)(85, 205, 105, 225)(87, 207, 108, 228)(89, 209, 102, 222)(90, 210, 114, 234)(92, 212, 104, 224)(94, 214, 113, 233)(95, 215, 119, 239)(98, 218, 118, 238)(99, 219, 120, 240)(100, 220, 115, 235)(106, 226, 116, 236)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 251, 371)(245, 365, 250, 370)(247, 367, 256, 376)(248, 368, 255, 375)(249, 369, 259, 379)(252, 372, 264, 384)(253, 373, 267, 387)(254, 374, 270, 390)(257, 377, 275, 395)(258, 378, 278, 398)(260, 380, 283, 403)(261, 381, 282, 402)(262, 382, 286, 406)(263, 383, 289, 409)(265, 385, 294, 414)(266, 386, 293, 413)(268, 388, 299, 419)(269, 389, 298, 418)(271, 391, 304, 424)(272, 392, 303, 423)(273, 393, 307, 427)(274, 394, 310, 430)(276, 396, 315, 435)(277, 397, 314, 434)(279, 399, 320, 440)(280, 400, 319, 439)(281, 401, 323, 443)(284, 404, 327, 447)(285, 405, 330, 450)(287, 407, 335, 455)(288, 408, 334, 454)(290, 410, 339, 459)(291, 411, 338, 458)(292, 412, 340, 460)(295, 415, 344, 464)(296, 416, 346, 466)(297, 417, 324, 444)(300, 420, 328, 448)(301, 421, 331, 451)(302, 422, 352, 472)(305, 425, 355, 475)(306, 426, 345, 465)(308, 428, 358, 478)(309, 429, 357, 477)(311, 431, 360, 480)(312, 432, 359, 479)(313, 433, 348, 468)(316, 436, 332, 452)(317, 437, 342, 462)(318, 438, 353, 473)(321, 441, 350, 470)(322, 442, 336, 456)(325, 445, 349, 469)(326, 446, 356, 476)(329, 449, 351, 471)(333, 453, 341, 461)(337, 457, 347, 467)(343, 463, 354, 474)
	L = (1, 244)(2, 247)(3, 250)(4, 245)(5, 241)(6, 255)(7, 248)(8, 242)(9, 260)(10, 251)(11, 243)(12, 265)(13, 268)(14, 271)(15, 256)(16, 246)(17, 276)(18, 279)(19, 282)(20, 261)(21, 249)(22, 287)(23, 290)(24, 293)(25, 266)(26, 252)(27, 298)(28, 269)(29, 253)(30, 303)(31, 272)(32, 254)(33, 308)(34, 311)(35, 314)(36, 277)(37, 257)(38, 319)(39, 280)(40, 258)(41, 324)(42, 283)(43, 259)(44, 328)(45, 331)(46, 334)(47, 288)(48, 262)(49, 338)(50, 291)(51, 263)(52, 341)(53, 294)(54, 264)(55, 322)(56, 347)(57, 323)(58, 299)(59, 267)(60, 327)(61, 330)(62, 353)(63, 304)(64, 270)(65, 350)(66, 336)(67, 357)(68, 309)(69, 273)(70, 359)(71, 312)(72, 274)(73, 337)(74, 315)(75, 275)(76, 301)(77, 333)(78, 352)(79, 320)(80, 278)(81, 355)(82, 345)(83, 349)(84, 325)(85, 281)(86, 321)(87, 351)(88, 329)(89, 284)(90, 316)(91, 332)(92, 285)(93, 340)(94, 335)(95, 286)(96, 344)(97, 346)(98, 339)(99, 289)(100, 317)(101, 342)(102, 292)(103, 318)(104, 306)(105, 295)(106, 313)(107, 348)(108, 296)(109, 297)(110, 356)(111, 300)(112, 343)(113, 354)(114, 302)(115, 326)(116, 305)(117, 358)(118, 307)(119, 360)(120, 310)(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, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.1982
Graph:: simple bipartite
	v = 120 e = 240 f = 84
	degree seq :: [ 4^120 ]

E19.1980 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^5, Y1^-1 * Y3 * Y1^3 * Y3 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^2, Y1^-1 * Y3 * Y1 * Y2 * Y1^-2 * Y2 * Y1 * Y2 * Y1 * Y2, Y1^2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-2 * Y2, (Y2 * Y1^-2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 14, 134, 5, 125)(3, 123, 9, 129, 20, 140, 25, 145, 11, 131)(4, 124, 12, 132, 26, 146, 16, 136, 8, 128)(7, 127, 17, 137, 34, 154, 39, 159, 19, 139)(10, 130, 23, 143, 44, 164, 41, 161, 22, 142)(13, 133, 28, 148, 52, 172, 54, 174, 29, 149)(15, 135, 31, 151, 57, 177, 62, 182, 33, 153)(18, 138, 37, 157, 67, 187, 64, 184, 36, 156)(21, 141, 42, 162, 74, 194, 69, 189, 38, 158)(24, 144, 46, 166, 80, 200, 82, 202, 47, 167)(27, 147, 50, 170, 87, 207, 89, 209, 51, 171)(30, 150, 55, 175, 94, 214, 96, 216, 56, 176)(32, 152, 60, 180, 75, 195, 98, 218, 59, 179)(35, 155, 65, 185, 104, 224, 72, 192, 61, 181)(40, 160, 71, 191, 106, 226, 66, 186, 73, 193)(43, 163, 68, 188, 90, 210, 110, 230, 76, 196)(45, 165, 78, 198, 107, 227, 70, 190, 79, 199)(48, 168, 83, 203, 88, 208, 97, 217, 84, 204)(49, 169, 85, 205, 105, 225, 81, 201, 86, 206)(53, 173, 91, 211, 77, 197, 111, 231, 92, 212)(58, 178, 99, 219, 114, 234, 102, 222, 95, 215)(63, 183, 101, 221, 93, 213, 100, 220, 103, 223)(108, 228, 117, 237, 115, 235, 119, 239, 113, 233)(109, 229, 118, 238, 112, 232, 116, 236, 120, 240)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 255, 375)(248, 368, 258, 378)(249, 369, 261, 381)(251, 371, 264, 384)(252, 372, 267, 387)(254, 374, 270, 390)(256, 376, 272, 392)(257, 377, 275, 395)(259, 379, 278, 398)(260, 380, 280, 400)(262, 382, 283, 403)(263, 383, 285, 405)(265, 385, 288, 408)(266, 386, 289, 409)(268, 388, 286, 406)(269, 389, 293, 413)(271, 391, 298, 418)(273, 393, 301, 421)(274, 394, 303, 423)(276, 396, 306, 426)(277, 397, 308, 428)(279, 399, 310, 430)(281, 401, 312, 432)(282, 402, 315, 435)(284, 404, 317, 437)(287, 407, 321, 441)(290, 410, 328, 448)(291, 411, 319, 439)(292, 412, 330, 450)(294, 414, 333, 453)(295, 415, 331, 451)(296, 416, 335, 455)(297, 417, 337, 457)(299, 419, 340, 460)(300, 420, 313, 433)(302, 422, 316, 436)(304, 424, 342, 462)(305, 425, 345, 465)(307, 427, 320, 440)(309, 429, 329, 449)(311, 431, 348, 468)(314, 434, 349, 469)(318, 438, 334, 454)(322, 442, 352, 472)(323, 443, 326, 446)(324, 444, 353, 473)(325, 445, 343, 463)(327, 447, 339, 459)(332, 452, 338, 458)(336, 456, 346, 466)(341, 461, 355, 475)(344, 464, 356, 476)(347, 467, 357, 477)(350, 470, 359, 479)(351, 471, 360, 480)(354, 474, 358, 478)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 256)(7, 258)(8, 242)(9, 262)(10, 243)(11, 263)(12, 245)(13, 267)(14, 266)(15, 272)(16, 246)(17, 276)(18, 247)(19, 277)(20, 281)(21, 283)(22, 249)(23, 251)(24, 285)(25, 284)(26, 254)(27, 253)(28, 291)(29, 290)(30, 289)(31, 299)(32, 255)(33, 300)(34, 304)(35, 306)(36, 257)(37, 259)(38, 308)(39, 307)(40, 312)(41, 260)(42, 316)(43, 261)(44, 265)(45, 264)(46, 319)(47, 318)(48, 317)(49, 270)(50, 269)(51, 268)(52, 329)(53, 328)(54, 327)(55, 326)(56, 325)(57, 338)(58, 340)(59, 271)(60, 273)(61, 313)(62, 315)(63, 342)(64, 274)(65, 346)(66, 275)(67, 279)(68, 278)(69, 330)(70, 320)(71, 344)(72, 280)(73, 301)(74, 350)(75, 302)(76, 282)(77, 288)(78, 287)(79, 286)(80, 310)(81, 334)(82, 347)(83, 331)(84, 351)(85, 296)(86, 295)(87, 294)(88, 293)(89, 292)(90, 309)(91, 323)(92, 337)(93, 339)(94, 321)(95, 343)(96, 345)(97, 332)(98, 297)(99, 333)(100, 298)(101, 354)(102, 303)(103, 335)(104, 311)(105, 336)(106, 305)(107, 322)(108, 356)(109, 359)(110, 314)(111, 324)(112, 357)(113, 360)(114, 341)(115, 358)(116, 348)(117, 352)(118, 355)(119, 349)(120, 353)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4^4 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E19.1977
Graph:: simple bipartite
	v = 84 e = 240 f = 120
	degree seq :: [ 4^60, 10^24 ]

E19.1981 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, Y1^5, (Y2 * Y1^-1)^4, Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2, Y1^2 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2, Y1^-1 * Y2 * Y1 * Y2 * Y1^2 * Y2 * Y1^-2 * Y3 * Y1 * Y2, (Y2 * Y1^2 * Y2 * Y1^-2)^2, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 14, 134, 5, 125)(3, 123, 9, 129, 20, 140, 25, 145, 11, 131)(4, 124, 12, 132, 26, 146, 16, 136, 8, 128)(7, 127, 17, 137, 34, 154, 39, 159, 19, 139)(10, 130, 23, 143, 45, 165, 41, 161, 22, 142)(13, 133, 28, 148, 52, 172, 54, 174, 29, 149)(15, 135, 31, 151, 57, 177, 62, 182, 33, 153)(18, 138, 37, 157, 67, 187, 64, 184, 36, 156)(21, 141, 42, 162, 74, 194, 78, 198, 44, 164)(24, 144, 47, 167, 81, 201, 66, 186, 35, 155)(27, 147, 50, 170, 87, 207, 89, 209, 51, 171)(30, 150, 55, 175, 94, 214, 96, 216, 56, 176)(32, 152, 60, 180, 97, 217, 82, 202, 59, 179)(38, 158, 69, 189, 104, 224, 79, 199, 58, 178)(40, 160, 71, 191, 88, 208, 100, 220, 73, 193)(43, 163, 76, 196, 101, 221, 63, 183, 75, 195)(46, 166, 65, 185, 93, 213, 111, 231, 80, 200)(48, 168, 83, 203, 103, 223, 68, 188, 84, 204)(49, 169, 85, 205, 77, 197, 105, 225, 86, 206)(53, 173, 91, 211, 72, 192, 108, 228, 92, 212)(61, 181, 99, 219, 114, 234, 102, 222, 95, 215)(70, 190, 106, 226, 90, 210, 98, 218, 107, 227)(109, 229, 119, 239, 117, 237, 115, 235, 113, 233)(110, 230, 120, 240, 112, 232, 118, 238, 116, 236)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 255, 375)(248, 368, 258, 378)(249, 369, 261, 381)(251, 371, 264, 384)(252, 372, 267, 387)(254, 374, 270, 390)(256, 376, 272, 392)(257, 377, 275, 395)(259, 379, 278, 398)(260, 380, 280, 400)(262, 382, 283, 403)(263, 383, 286, 406)(265, 385, 288, 408)(266, 386, 289, 409)(268, 388, 293, 413)(269, 389, 282, 402)(271, 391, 298, 418)(273, 393, 301, 421)(274, 394, 303, 423)(276, 396, 305, 425)(277, 397, 308, 428)(279, 399, 310, 430)(281, 401, 312, 432)(284, 404, 317, 437)(285, 405, 319, 439)(287, 407, 322, 442)(290, 410, 315, 435)(291, 411, 328, 448)(292, 412, 330, 450)(294, 414, 333, 453)(295, 415, 335, 455)(296, 416, 331, 451)(297, 417, 320, 440)(299, 419, 324, 444)(300, 420, 338, 458)(302, 422, 340, 460)(304, 424, 314, 434)(306, 426, 327, 447)(307, 427, 342, 462)(309, 429, 345, 465)(311, 431, 325, 445)(313, 433, 349, 469)(316, 436, 336, 456)(318, 438, 350, 470)(321, 441, 352, 472)(323, 443, 353, 473)(326, 446, 347, 467)(329, 449, 339, 459)(332, 452, 337, 457)(334, 454, 343, 463)(341, 461, 355, 475)(344, 464, 356, 476)(346, 466, 357, 477)(348, 468, 358, 478)(351, 471, 359, 479)(354, 474, 360, 480)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 256)(7, 258)(8, 242)(9, 262)(10, 243)(11, 263)(12, 245)(13, 267)(14, 266)(15, 272)(16, 246)(17, 276)(18, 247)(19, 277)(20, 281)(21, 283)(22, 249)(23, 251)(24, 286)(25, 285)(26, 254)(27, 253)(28, 291)(29, 290)(30, 289)(31, 299)(32, 255)(33, 300)(34, 304)(35, 305)(36, 257)(37, 259)(38, 308)(39, 307)(40, 312)(41, 260)(42, 315)(43, 261)(44, 316)(45, 265)(46, 264)(47, 320)(48, 319)(49, 270)(50, 269)(51, 268)(52, 329)(53, 328)(54, 327)(55, 326)(56, 325)(57, 322)(58, 324)(59, 271)(60, 273)(61, 338)(62, 337)(63, 314)(64, 274)(65, 275)(66, 333)(67, 279)(68, 278)(69, 343)(70, 342)(71, 331)(72, 280)(73, 348)(74, 303)(75, 282)(76, 284)(77, 336)(78, 341)(79, 288)(80, 287)(81, 351)(82, 297)(83, 344)(84, 298)(85, 296)(86, 295)(87, 294)(88, 293)(89, 292)(90, 339)(91, 311)(92, 340)(93, 306)(94, 345)(95, 347)(96, 317)(97, 302)(98, 301)(99, 330)(100, 332)(101, 318)(102, 310)(103, 309)(104, 323)(105, 334)(106, 354)(107, 335)(108, 313)(109, 358)(110, 355)(111, 321)(112, 359)(113, 356)(114, 346)(115, 350)(116, 353)(117, 360)(118, 349)(119, 352)(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) :: { ( 4^4 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E19.1978
Graph:: simple bipartite
	v = 84 e = 240 f = 120
	degree seq :: [ 4^60, 10^24 ]

E19.1982 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (Y1^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y2 * Y3^-2 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-2 * Y2 * Y1^2 * Y2, (Y1 * Y2 * Y1^-1 * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y1^-2 * Y3 * Y1^-1 * Y3 ]
Map:: polyhedral non-degenerate
	R = (1, 121, 2, 122, 7, 127, 19, 139, 5, 125)(3, 123, 11, 131, 30, 150, 38, 158, 13, 133)(4, 124, 15, 135, 40, 160, 44, 164, 16, 136)(6, 126, 20, 140, 52, 172, 28, 148, 9, 129)(8, 128, 24, 144, 59, 179, 66, 186, 26, 146)(10, 130, 29, 149, 70, 190, 57, 177, 22, 142)(12, 132, 34, 154, 76, 196, 50, 170, 35, 155)(14, 134, 39, 159, 85, 205, 68, 188, 32, 152)(17, 137, 45, 165, 25, 145, 63, 183, 46, 166)(18, 138, 48, 168, 99, 219, 101, 221, 49, 169)(21, 141, 54, 174, 41, 161, 89, 209, 55, 175)(23, 143, 58, 178, 77, 197, 103, 223, 51, 171)(27, 147, 67, 187, 92, 212, 109, 229, 61, 181)(31, 151, 72, 192, 95, 215, 88, 208, 64, 184)(33, 153, 75, 195, 118, 238, 108, 228, 56, 176)(36, 156, 80, 200, 73, 193, 114, 234, 81, 201)(37, 157, 83, 203, 97, 217, 65, 185, 84, 204)(42, 162, 90, 210, 47, 167, 98, 218, 91, 211)(43, 163, 93, 213, 60, 180, 111, 231, 94, 214)(53, 173, 105, 225, 71, 191, 87, 207, 106, 226)(62, 182, 113, 233, 100, 220, 79, 199, 102, 222)(69, 189, 104, 224, 107, 227, 86, 206, 116, 236)(74, 194, 117, 237, 119, 239, 120, 240, 112, 232)(78, 198, 115, 235, 82, 202, 110, 230, 96, 216)(241, 361, 243, 363)(242, 362, 248, 368)(244, 364, 254, 374)(245, 365, 257, 377)(246, 366, 252, 372)(247, 367, 261, 381)(249, 369, 267, 387)(250, 370, 265, 385)(251, 371, 271, 391)(253, 373, 276, 396)(255, 375, 281, 401)(256, 376, 282, 402)(258, 378, 287, 407)(259, 379, 290, 410)(260, 380, 293, 413)(262, 382, 296, 416)(263, 383, 270, 390)(264, 384, 300, 420)(266, 386, 304, 424)(268, 388, 308, 428)(269, 389, 311, 431)(272, 392, 314, 434)(273, 393, 313, 433)(274, 394, 317, 437)(275, 395, 318, 438)(277, 397, 322, 442)(278, 398, 284, 404)(279, 399, 326, 446)(280, 400, 327, 447)(283, 403, 332, 452)(285, 405, 320, 440)(286, 406, 336, 456)(288, 408, 299, 419)(289, 409, 340, 460)(291, 411, 342, 462)(292, 412, 306, 426)(294, 414, 347, 467)(295, 415, 333, 453)(297, 417, 349, 469)(298, 418, 346, 466)(301, 421, 352, 472)(302, 422, 312, 432)(303, 423, 341, 461)(305, 425, 354, 474)(307, 427, 355, 475)(309, 429, 315, 435)(310, 430, 329, 449)(316, 436, 344, 464)(319, 439, 359, 479)(321, 441, 331, 451)(323, 443, 335, 455)(324, 444, 334, 454)(325, 445, 328, 448)(330, 450, 357, 477)(337, 457, 356, 476)(338, 458, 351, 471)(339, 459, 345, 465)(343, 463, 358, 478)(348, 468, 360, 480)(350, 470, 353, 473)
	L = (1, 244)(2, 249)(3, 252)(4, 246)(5, 258)(6, 241)(7, 262)(8, 265)(9, 250)(10, 242)(11, 272)(12, 254)(13, 277)(14, 243)(15, 245)(16, 283)(17, 281)(18, 255)(19, 291)(20, 256)(21, 270)(22, 263)(23, 247)(24, 301)(25, 267)(26, 305)(27, 248)(28, 309)(29, 268)(30, 296)(31, 313)(32, 273)(33, 251)(34, 253)(35, 319)(36, 317)(37, 274)(38, 295)(39, 275)(40, 289)(41, 287)(42, 293)(43, 260)(44, 335)(45, 330)(46, 337)(47, 257)(48, 259)(49, 328)(50, 299)(51, 288)(52, 334)(53, 332)(54, 348)(55, 323)(56, 261)(57, 350)(58, 297)(59, 342)(60, 312)(61, 302)(62, 264)(63, 266)(64, 341)(65, 303)(66, 316)(67, 285)(68, 311)(69, 269)(70, 356)(71, 315)(72, 352)(73, 314)(74, 271)(75, 308)(76, 324)(77, 322)(78, 326)(79, 279)(80, 355)(81, 339)(82, 276)(83, 278)(84, 306)(85, 340)(86, 359)(87, 325)(88, 280)(89, 286)(90, 307)(91, 358)(92, 282)(93, 284)(94, 344)(95, 333)(96, 310)(97, 329)(98, 294)(99, 343)(100, 327)(101, 354)(102, 290)(103, 321)(104, 292)(105, 331)(106, 353)(107, 351)(108, 338)(109, 346)(110, 298)(111, 360)(112, 300)(113, 349)(114, 304)(115, 357)(116, 336)(117, 320)(118, 345)(119, 318)(120, 347)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4^4 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E19.1979
Graph:: simple bipartite
	v = 84 e = 240 f = 120
	degree seq :: [ 4^60, 10^24 ]

E19.1983 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 5})
Quotient :: halfedge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y3)^3, (Y2 * Y1 * Y2 * Y3)^2, Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 122, 2, 121)(3, 127, 7, 123)(4, 129, 9, 124)(5, 131, 11, 125)(6, 133, 13, 126)(8, 137, 17, 128)(10, 141, 21, 130)(12, 144, 24, 132)(14, 148, 28, 134)(15, 149, 29, 135)(16, 151, 31, 136)(18, 145, 25, 138)(19, 155, 35, 139)(20, 156, 36, 140)(22, 157, 37, 142)(23, 159, 39, 143)(26, 163, 43, 146)(27, 164, 44, 147)(30, 167, 47, 150)(32, 170, 50, 152)(33, 171, 51, 153)(34, 172, 52, 154)(38, 174, 54, 158)(40, 179, 59, 160)(41, 180, 60, 161)(42, 168, 48, 162)(45, 183, 63, 165)(46, 175, 55, 166)(49, 187, 67, 169)(53, 191, 71, 173)(56, 192, 72, 176)(57, 193, 73, 177)(58, 181, 61, 178)(62, 198, 78, 182)(64, 189, 69, 184)(65, 201, 81, 185)(66, 202, 82, 186)(68, 205, 85, 188)(70, 206, 86, 190)(74, 197, 77, 194)(75, 213, 93, 195)(76, 214, 94, 196)(79, 217, 97, 199)(80, 203, 83, 200)(84, 215, 95, 204)(87, 212, 92, 207)(88, 209, 89, 208)(90, 226, 106, 210)(91, 227, 107, 211)(96, 232, 112, 216)(98, 221, 101, 218)(99, 235, 115, 219)(100, 231, 111, 220)(102, 234, 114, 222)(103, 224, 104, 223)(105, 228, 108, 225)(109, 238, 118, 229)(110, 237, 117, 230)(113, 236, 116, 233)(119, 240, 120, 239)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 22)(12, 25)(13, 26)(16, 32)(17, 33)(20, 34)(21, 30)(23, 40)(24, 41)(27, 42)(28, 38)(29, 45)(31, 48)(35, 53)(36, 55)(37, 57)(39, 52)(43, 49)(44, 61)(46, 65)(47, 66)(50, 64)(51, 68)(54, 70)(56, 69)(58, 75)(59, 74)(60, 76)(62, 77)(63, 79)(67, 83)(71, 87)(72, 89)(73, 91)(78, 95)(80, 99)(81, 98)(82, 100)(84, 101)(85, 102)(86, 104)(88, 105)(90, 103)(92, 109)(93, 108)(94, 110)(96, 111)(97, 113)(106, 115)(107, 116)(112, 118)(114, 119)(117, 120)(121, 124)(122, 126)(123, 128)(125, 132)(127, 136)(129, 140)(130, 138)(131, 143)(133, 147)(134, 145)(135, 150)(137, 154)(139, 153)(141, 152)(142, 158)(144, 162)(146, 161)(148, 160)(149, 166)(151, 169)(155, 174)(156, 176)(157, 178)(159, 173)(163, 167)(164, 182)(165, 184)(168, 186)(170, 185)(171, 189)(172, 190)(175, 188)(177, 194)(179, 195)(180, 197)(181, 196)(183, 200)(187, 204)(191, 208)(192, 210)(193, 212)(198, 216)(199, 218)(201, 219)(202, 221)(203, 220)(205, 223)(206, 225)(207, 224)(209, 222)(211, 228)(213, 229)(214, 231)(215, 230)(217, 234)(226, 233)(227, 237)(232, 236)(235, 239)(238, 240)
	local type(s) :: { ( 10^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1984
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 60 e = 120 f = 24
	degree seq :: [ 4^60 ]

E19.1984 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 5})
Quotient :: halfedge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^5, Y2 * Y1^2 * Y3 * Y1^-2, (Y1 * Y3 * Y2)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1, Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y3, (Y3 * Y1 * Y2 * Y1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 122, 2, 126, 6, 137, 17, 125, 5, 121)(3, 129, 9, 139, 19, 152, 32, 131, 11, 123)(4, 132, 12, 153, 33, 160, 40, 134, 14, 124)(7, 140, 20, 165, 45, 173, 53, 142, 22, 127)(8, 143, 23, 161, 41, 135, 15, 145, 25, 128)(10, 148, 28, 182, 62, 176, 56, 144, 24, 130)(13, 156, 36, 191, 71, 196, 76, 158, 38, 133)(16, 162, 42, 167, 47, 138, 18, 164, 44, 136)(21, 151, 31, 187, 67, 208, 88, 168, 48, 141)(26, 178, 58, 189, 69, 205, 85, 179, 59, 146)(27, 180, 60, 155, 35, 150, 30, 181, 61, 147)(29, 184, 64, 221, 101, 225, 105, 186, 66, 149)(34, 163, 43, 199, 79, 206, 86, 192, 72, 154)(37, 170, 50, 210, 90, 227, 107, 193, 73, 157)(39, 197, 77, 213, 93, 190, 70, 198, 78, 159)(46, 172, 52, 211, 91, 201, 81, 203, 83, 166)(49, 195, 75, 174, 54, 171, 51, 209, 89, 169)(55, 204, 84, 235, 115, 220, 100, 214, 94, 175)(57, 215, 95, 202, 82, 200, 80, 185, 65, 177)(63, 188, 68, 212, 92, 236, 116, 222, 102, 183)(74, 231, 111, 233, 113, 238, 118, 232, 112, 194)(87, 218, 98, 229, 109, 226, 106, 228, 108, 207)(96, 224, 104, 219, 99, 217, 97, 234, 114, 216)(103, 230, 110, 239, 119, 240, 120, 237, 117, 223)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 18)(8, 24)(9, 26)(10, 29)(11, 30)(12, 34)(14, 27)(16, 43)(17, 40)(19, 48)(20, 39)(21, 50)(22, 51)(23, 38)(25, 49)(28, 63)(31, 68)(32, 56)(33, 70)(35, 73)(36, 74)(37, 75)(41, 80)(42, 81)(44, 57)(45, 83)(46, 84)(47, 85)(52, 92)(53, 88)(54, 94)(55, 58)(59, 97)(60, 66)(61, 96)(62, 100)(64, 103)(65, 104)(67, 106)(69, 108)(71, 102)(72, 101)(76, 107)(77, 87)(78, 99)(79, 98)(82, 105)(86, 116)(89, 114)(90, 117)(91, 113)(93, 118)(95, 112)(109, 119)(110, 111)(115, 120)(121, 124)(122, 128)(123, 130)(125, 136)(126, 139)(127, 141)(129, 147)(131, 151)(132, 155)(133, 157)(134, 159)(135, 156)(137, 165)(138, 166)(140, 169)(142, 172)(143, 174)(144, 175)(145, 177)(146, 164)(148, 161)(149, 185)(150, 184)(152, 189)(153, 191)(154, 183)(158, 188)(160, 199)(162, 202)(163, 186)(167, 206)(168, 207)(170, 181)(171, 210)(173, 213)(176, 212)(178, 216)(179, 218)(180, 219)(182, 221)(187, 227)(190, 229)(192, 226)(193, 230)(194, 198)(195, 224)(196, 233)(197, 234)(200, 231)(201, 222)(203, 232)(204, 209)(205, 235)(208, 236)(211, 220)(214, 223)(215, 217)(225, 239)(228, 237)(238, 240)
	local type(s) :: { ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E19.1983
Transitivity :: VT+ AT
Graph:: bipartite
	v = 24 e = 120 f = 60
	degree seq :: [ 10^24 ]

E19.1985 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 5})
Quotient :: edge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2)^3, (Y2 * Y1 * Y3 * Y1)^2, Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1, (Y3 * Y1)^10 ]
Map:: polytopal
	R = (1, 121, 4, 124)(2, 122, 6, 126)(3, 123, 8, 128)(5, 125, 12, 132)(7, 127, 15, 135)(9, 129, 19, 139)(10, 130, 21, 141)(11, 131, 22, 142)(13, 133, 26, 146)(14, 134, 28, 148)(16, 136, 29, 149)(17, 137, 30, 150)(18, 138, 31, 151)(20, 140, 34, 154)(23, 143, 37, 157)(24, 144, 38, 158)(25, 145, 39, 159)(27, 147, 42, 162)(32, 152, 52, 172)(33, 153, 54, 174)(35, 155, 55, 175)(36, 156, 56, 176)(40, 160, 62, 182)(41, 161, 47, 167)(43, 163, 50, 170)(44, 164, 64, 184)(45, 165, 65, 185)(46, 166, 51, 171)(48, 168, 66, 186)(49, 169, 67, 187)(53, 173, 70, 190)(57, 177, 73, 193)(58, 178, 61, 181)(59, 179, 74, 194)(60, 180, 75, 195)(63, 183, 78, 198)(68, 188, 88, 208)(69, 189, 71, 191)(72, 192, 90, 210)(76, 196, 98, 218)(77, 197, 79, 199)(80, 200, 100, 220)(81, 201, 101, 221)(82, 202, 83, 203)(84, 204, 102, 222)(85, 205, 103, 223)(86, 206, 87, 207)(89, 209, 105, 225)(91, 211, 107, 227)(92, 212, 93, 213)(94, 214, 108, 228)(95, 215, 109, 229)(96, 216, 97, 217)(99, 219, 111, 231)(104, 224, 114, 234)(106, 226, 115, 235)(110, 230, 117, 237)(112, 232, 118, 238)(113, 233, 119, 239)(116, 236, 120, 240)(241, 242)(243, 247)(244, 249)(245, 251)(246, 253)(248, 256)(250, 260)(252, 263)(254, 267)(255, 265)(257, 264)(258, 262)(259, 272)(261, 275)(266, 280)(268, 283)(269, 285)(270, 287)(271, 289)(273, 293)(274, 291)(276, 290)(277, 297)(278, 294)(279, 300)(281, 303)(282, 301)(284, 295)(286, 299)(288, 298)(292, 308)(296, 311)(302, 316)(304, 319)(305, 321)(306, 323)(307, 325)(309, 329)(310, 327)(312, 326)(313, 331)(314, 333)(315, 335)(317, 339)(318, 337)(320, 336)(322, 334)(324, 332)(328, 344)(330, 340)(338, 350)(341, 353)(342, 351)(343, 352)(345, 348)(346, 349)(347, 356)(354, 357)(355, 359)(358, 360)(361, 363)(362, 365)(364, 370)(366, 374)(367, 371)(368, 377)(369, 378)(372, 384)(373, 385)(375, 387)(376, 383)(379, 393)(380, 382)(381, 396)(386, 401)(388, 404)(389, 406)(390, 408)(391, 410)(392, 411)(394, 413)(395, 409)(397, 418)(398, 419)(399, 415)(400, 421)(402, 423)(403, 420)(405, 414)(407, 417)(412, 429)(416, 432)(422, 437)(424, 440)(425, 442)(426, 444)(427, 446)(428, 447)(430, 449)(431, 445)(433, 452)(434, 454)(435, 456)(436, 457)(438, 459)(439, 455)(441, 453)(443, 451)(448, 461)(450, 466)(458, 467)(460, 472)(462, 470)(463, 469)(464, 468)(465, 473)(471, 476)(474, 478)(475, 477)(479, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 20, 20 ), ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E19.1988
Graph:: simple bipartite
	v = 180 e = 240 f = 24
	degree seq :: [ 2^120, 4^60 ]

E19.1986 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 5})
Quotient :: edge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3^-1 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3^5, (Y2 * Y1)^3, (Y2 * Y3 * Y1)^2, Y3^2 * Y1 * Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-2 * Y2 ]
Map:: polytopal
	R = (1, 121, 4, 124, 13, 133, 15, 135, 5, 125)(2, 122, 7, 127, 20, 140, 22, 142, 8, 128)(3, 123, 10, 130, 25, 145, 27, 147, 11, 131)(6, 126, 17, 137, 36, 156, 38, 158, 18, 138)(9, 129, 23, 143, 45, 165, 46, 166, 24, 144)(12, 132, 28, 148, 52, 172, 53, 173, 29, 149)(14, 134, 31, 151, 55, 175, 57, 177, 32, 152)(16, 136, 34, 154, 59, 179, 60, 180, 35, 155)(19, 139, 39, 159, 66, 186, 67, 187, 40, 160)(21, 141, 42, 162, 69, 189, 71, 191, 43, 163)(26, 146, 48, 168, 74, 194, 75, 195, 49, 169)(30, 150, 33, 153, 58, 178, 80, 200, 54, 174)(37, 157, 62, 182, 85, 205, 86, 206, 63, 183)(41, 161, 44, 164, 72, 192, 91, 211, 68, 188)(47, 167, 50, 170, 76, 196, 95, 215, 73, 193)(51, 171, 77, 197, 98, 218, 82, 202, 56, 176)(61, 181, 64, 184, 87, 207, 103, 223, 84, 204)(65, 185, 88, 208, 106, 226, 93, 213, 70, 190)(78, 198, 79, 199, 100, 220, 113, 233, 99, 219)(81, 201, 83, 203, 101, 221, 114, 234, 102, 222)(89, 209, 90, 210, 108, 228, 117, 237, 107, 227)(92, 212, 94, 214, 109, 229, 118, 238, 110, 230)(96, 216, 97, 217, 111, 231, 119, 239, 112, 232)(104, 224, 105, 225, 115, 235, 120, 240, 116, 236)(241, 242)(243, 249)(244, 252)(245, 251)(246, 256)(247, 259)(248, 258)(250, 261)(253, 270)(254, 257)(255, 272)(260, 281)(262, 283)(263, 277)(264, 275)(265, 287)(266, 274)(267, 289)(268, 291)(269, 286)(271, 290)(273, 288)(276, 301)(278, 303)(279, 305)(280, 300)(282, 304)(284, 302)(285, 310)(292, 318)(293, 308)(294, 307)(295, 321)(296, 299)(297, 322)(298, 323)(306, 329)(309, 332)(311, 333)(312, 334)(313, 326)(314, 336)(315, 324)(316, 337)(317, 330)(319, 328)(320, 339)(325, 344)(327, 345)(331, 347)(335, 350)(338, 352)(340, 349)(341, 348)(342, 343)(346, 356)(351, 355)(353, 359)(354, 358)(357, 360)(361, 363)(362, 366)(364, 367)(365, 374)(368, 381)(369, 376)(370, 383)(371, 386)(372, 384)(373, 388)(375, 393)(377, 394)(378, 397)(379, 395)(380, 399)(382, 404)(385, 402)(387, 410)(389, 401)(390, 400)(391, 396)(392, 416)(398, 424)(403, 430)(405, 422)(406, 425)(407, 423)(408, 419)(409, 421)(411, 420)(412, 437)(413, 439)(414, 438)(415, 436)(417, 443)(418, 434)(426, 448)(427, 450)(428, 449)(429, 447)(431, 454)(432, 445)(433, 452)(435, 457)(440, 461)(441, 444)(442, 456)(446, 465)(451, 469)(453, 464)(455, 471)(458, 468)(459, 472)(460, 466)(462, 470)(463, 475)(467, 476)(473, 478)(474, 477)(479, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 8 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E19.1987
Graph:: simple bipartite
	v = 144 e = 240 f = 60
	degree seq :: [ 2^120, 10^24 ]

E19.1987 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 5})
Quotient :: loop^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2)^3, (Y2 * Y1 * Y3 * Y1)^2, Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1, (Y3 * Y1)^10 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364)(2, 122, 242, 362, 6, 126, 246, 366)(3, 123, 243, 363, 8, 128, 248, 368)(5, 125, 245, 365, 12, 132, 252, 372)(7, 127, 247, 367, 15, 135, 255, 375)(9, 129, 249, 369, 19, 139, 259, 379)(10, 130, 250, 370, 21, 141, 261, 381)(11, 131, 251, 371, 22, 142, 262, 382)(13, 133, 253, 373, 26, 146, 266, 386)(14, 134, 254, 374, 28, 148, 268, 388)(16, 136, 256, 376, 29, 149, 269, 389)(17, 137, 257, 377, 30, 150, 270, 390)(18, 138, 258, 378, 31, 151, 271, 391)(20, 140, 260, 380, 34, 154, 274, 394)(23, 143, 263, 383, 37, 157, 277, 397)(24, 144, 264, 384, 38, 158, 278, 398)(25, 145, 265, 385, 39, 159, 279, 399)(27, 147, 267, 387, 42, 162, 282, 402)(32, 152, 272, 392, 52, 172, 292, 412)(33, 153, 273, 393, 54, 174, 294, 414)(35, 155, 275, 395, 55, 175, 295, 415)(36, 156, 276, 396, 56, 176, 296, 416)(40, 160, 280, 400, 62, 182, 302, 422)(41, 161, 281, 401, 47, 167, 287, 407)(43, 163, 283, 403, 50, 170, 290, 410)(44, 164, 284, 404, 64, 184, 304, 424)(45, 165, 285, 405, 65, 185, 305, 425)(46, 166, 286, 406, 51, 171, 291, 411)(48, 168, 288, 408, 66, 186, 306, 426)(49, 169, 289, 409, 67, 187, 307, 427)(53, 173, 293, 413, 70, 190, 310, 430)(57, 177, 297, 417, 73, 193, 313, 433)(58, 178, 298, 418, 61, 181, 301, 421)(59, 179, 299, 419, 74, 194, 314, 434)(60, 180, 300, 420, 75, 195, 315, 435)(63, 183, 303, 423, 78, 198, 318, 438)(68, 188, 308, 428, 88, 208, 328, 448)(69, 189, 309, 429, 71, 191, 311, 431)(72, 192, 312, 432, 90, 210, 330, 450)(76, 196, 316, 436, 98, 218, 338, 458)(77, 197, 317, 437, 79, 199, 319, 439)(80, 200, 320, 440, 100, 220, 340, 460)(81, 201, 321, 441, 101, 221, 341, 461)(82, 202, 322, 442, 83, 203, 323, 443)(84, 204, 324, 444, 102, 222, 342, 462)(85, 205, 325, 445, 103, 223, 343, 463)(86, 206, 326, 446, 87, 207, 327, 447)(89, 209, 329, 449, 105, 225, 345, 465)(91, 211, 331, 451, 107, 227, 347, 467)(92, 212, 332, 452, 93, 213, 333, 453)(94, 214, 334, 454, 108, 228, 348, 468)(95, 215, 335, 455, 109, 229, 349, 469)(96, 216, 336, 456, 97, 217, 337, 457)(99, 219, 339, 459, 111, 231, 351, 471)(104, 224, 344, 464, 114, 234, 354, 474)(106, 226, 346, 466, 115, 235, 355, 475)(110, 230, 350, 470, 117, 237, 357, 477)(112, 232, 352, 472, 118, 238, 358, 478)(113, 233, 353, 473, 119, 239, 359, 479)(116, 236, 356, 476, 120, 240, 360, 480)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 136)(9, 124)(10, 140)(11, 125)(12, 143)(13, 126)(14, 147)(15, 145)(16, 128)(17, 144)(18, 142)(19, 152)(20, 130)(21, 155)(22, 138)(23, 132)(24, 137)(25, 135)(26, 160)(27, 134)(28, 163)(29, 165)(30, 167)(31, 169)(32, 139)(33, 173)(34, 171)(35, 141)(36, 170)(37, 177)(38, 174)(39, 180)(40, 146)(41, 183)(42, 181)(43, 148)(44, 175)(45, 149)(46, 179)(47, 150)(48, 178)(49, 151)(50, 156)(51, 154)(52, 188)(53, 153)(54, 158)(55, 164)(56, 191)(57, 157)(58, 168)(59, 166)(60, 159)(61, 162)(62, 196)(63, 161)(64, 199)(65, 201)(66, 203)(67, 205)(68, 172)(69, 209)(70, 207)(71, 176)(72, 206)(73, 211)(74, 213)(75, 215)(76, 182)(77, 219)(78, 217)(79, 184)(80, 216)(81, 185)(82, 214)(83, 186)(84, 212)(85, 187)(86, 192)(87, 190)(88, 224)(89, 189)(90, 220)(91, 193)(92, 204)(93, 194)(94, 202)(95, 195)(96, 200)(97, 198)(98, 230)(99, 197)(100, 210)(101, 233)(102, 231)(103, 232)(104, 208)(105, 228)(106, 229)(107, 236)(108, 225)(109, 226)(110, 218)(111, 222)(112, 223)(113, 221)(114, 237)(115, 239)(116, 227)(117, 234)(118, 240)(119, 235)(120, 238)(241, 363)(242, 365)(243, 361)(244, 370)(245, 362)(246, 374)(247, 371)(248, 377)(249, 378)(250, 364)(251, 367)(252, 384)(253, 385)(254, 366)(255, 387)(256, 383)(257, 368)(258, 369)(259, 393)(260, 382)(261, 396)(262, 380)(263, 376)(264, 372)(265, 373)(266, 401)(267, 375)(268, 404)(269, 406)(270, 408)(271, 410)(272, 411)(273, 379)(274, 413)(275, 409)(276, 381)(277, 418)(278, 419)(279, 415)(280, 421)(281, 386)(282, 423)(283, 420)(284, 388)(285, 414)(286, 389)(287, 417)(288, 390)(289, 395)(290, 391)(291, 392)(292, 429)(293, 394)(294, 405)(295, 399)(296, 432)(297, 407)(298, 397)(299, 398)(300, 403)(301, 400)(302, 437)(303, 402)(304, 440)(305, 442)(306, 444)(307, 446)(308, 447)(309, 412)(310, 449)(311, 445)(312, 416)(313, 452)(314, 454)(315, 456)(316, 457)(317, 422)(318, 459)(319, 455)(320, 424)(321, 453)(322, 425)(323, 451)(324, 426)(325, 431)(326, 427)(327, 428)(328, 461)(329, 430)(330, 466)(331, 443)(332, 433)(333, 441)(334, 434)(335, 439)(336, 435)(337, 436)(338, 467)(339, 438)(340, 472)(341, 448)(342, 470)(343, 469)(344, 468)(345, 473)(346, 450)(347, 458)(348, 464)(349, 463)(350, 462)(351, 476)(352, 460)(353, 465)(354, 478)(355, 477)(356, 471)(357, 475)(358, 474)(359, 480)(360, 479)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.1986
Transitivity :: VT+
Graph:: bipartite
	v = 60 e = 240 f = 144
	degree seq :: [ 8^60 ]

E19.1988 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 5})
Quotient :: loop^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3^-1 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3^5, (Y2 * Y1)^3, (Y2 * Y3 * Y1)^2, Y3^2 * Y1 * Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-2 * Y2 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364, 13, 133, 253, 373, 15, 135, 255, 375, 5, 125, 245, 365)(2, 122, 242, 362, 7, 127, 247, 367, 20, 140, 260, 380, 22, 142, 262, 382, 8, 128, 248, 368)(3, 123, 243, 363, 10, 130, 250, 370, 25, 145, 265, 385, 27, 147, 267, 387, 11, 131, 251, 371)(6, 126, 246, 366, 17, 137, 257, 377, 36, 156, 276, 396, 38, 158, 278, 398, 18, 138, 258, 378)(9, 129, 249, 369, 23, 143, 263, 383, 45, 165, 285, 405, 46, 166, 286, 406, 24, 144, 264, 384)(12, 132, 252, 372, 28, 148, 268, 388, 52, 172, 292, 412, 53, 173, 293, 413, 29, 149, 269, 389)(14, 134, 254, 374, 31, 151, 271, 391, 55, 175, 295, 415, 57, 177, 297, 417, 32, 152, 272, 392)(16, 136, 256, 376, 34, 154, 274, 394, 59, 179, 299, 419, 60, 180, 300, 420, 35, 155, 275, 395)(19, 139, 259, 379, 39, 159, 279, 399, 66, 186, 306, 426, 67, 187, 307, 427, 40, 160, 280, 400)(21, 141, 261, 381, 42, 162, 282, 402, 69, 189, 309, 429, 71, 191, 311, 431, 43, 163, 283, 403)(26, 146, 266, 386, 48, 168, 288, 408, 74, 194, 314, 434, 75, 195, 315, 435, 49, 169, 289, 409)(30, 150, 270, 390, 33, 153, 273, 393, 58, 178, 298, 418, 80, 200, 320, 440, 54, 174, 294, 414)(37, 157, 277, 397, 62, 182, 302, 422, 85, 205, 325, 445, 86, 206, 326, 446, 63, 183, 303, 423)(41, 161, 281, 401, 44, 164, 284, 404, 72, 192, 312, 432, 91, 211, 331, 451, 68, 188, 308, 428)(47, 167, 287, 407, 50, 170, 290, 410, 76, 196, 316, 436, 95, 215, 335, 455, 73, 193, 313, 433)(51, 171, 291, 411, 77, 197, 317, 437, 98, 218, 338, 458, 82, 202, 322, 442, 56, 176, 296, 416)(61, 181, 301, 421, 64, 184, 304, 424, 87, 207, 327, 447, 103, 223, 343, 463, 84, 204, 324, 444)(65, 185, 305, 425, 88, 208, 328, 448, 106, 226, 346, 466, 93, 213, 333, 453, 70, 190, 310, 430)(78, 198, 318, 438, 79, 199, 319, 439, 100, 220, 340, 460, 113, 233, 353, 473, 99, 219, 339, 459)(81, 201, 321, 441, 83, 203, 323, 443, 101, 221, 341, 461, 114, 234, 354, 474, 102, 222, 342, 462)(89, 209, 329, 449, 90, 210, 330, 450, 108, 228, 348, 468, 117, 237, 357, 477, 107, 227, 347, 467)(92, 212, 332, 452, 94, 214, 334, 454, 109, 229, 349, 469, 118, 238, 358, 478, 110, 230, 350, 470)(96, 216, 336, 456, 97, 217, 337, 457, 111, 231, 351, 471, 119, 239, 359, 479, 112, 232, 352, 472)(104, 224, 344, 464, 105, 225, 345, 465, 115, 235, 355, 475, 120, 240, 360, 480, 116, 236, 356, 476)
	L = (1, 122)(2, 121)(3, 129)(4, 132)(5, 131)(6, 136)(7, 139)(8, 138)(9, 123)(10, 141)(11, 125)(12, 124)(13, 150)(14, 137)(15, 152)(16, 126)(17, 134)(18, 128)(19, 127)(20, 161)(21, 130)(22, 163)(23, 157)(24, 155)(25, 167)(26, 154)(27, 169)(28, 171)(29, 166)(30, 133)(31, 170)(32, 135)(33, 168)(34, 146)(35, 144)(36, 181)(37, 143)(38, 183)(39, 185)(40, 180)(41, 140)(42, 184)(43, 142)(44, 182)(45, 190)(46, 149)(47, 145)(48, 153)(49, 147)(50, 151)(51, 148)(52, 198)(53, 188)(54, 187)(55, 201)(56, 179)(57, 202)(58, 203)(59, 176)(60, 160)(61, 156)(62, 164)(63, 158)(64, 162)(65, 159)(66, 209)(67, 174)(68, 173)(69, 212)(70, 165)(71, 213)(72, 214)(73, 206)(74, 216)(75, 204)(76, 217)(77, 210)(78, 172)(79, 208)(80, 219)(81, 175)(82, 177)(83, 178)(84, 195)(85, 224)(86, 193)(87, 225)(88, 199)(89, 186)(90, 197)(91, 227)(92, 189)(93, 191)(94, 192)(95, 230)(96, 194)(97, 196)(98, 232)(99, 200)(100, 229)(101, 228)(102, 223)(103, 222)(104, 205)(105, 207)(106, 236)(107, 211)(108, 221)(109, 220)(110, 215)(111, 235)(112, 218)(113, 239)(114, 238)(115, 231)(116, 226)(117, 240)(118, 234)(119, 233)(120, 237)(241, 363)(242, 366)(243, 361)(244, 367)(245, 374)(246, 362)(247, 364)(248, 381)(249, 376)(250, 383)(251, 386)(252, 384)(253, 388)(254, 365)(255, 393)(256, 369)(257, 394)(258, 397)(259, 395)(260, 399)(261, 368)(262, 404)(263, 370)(264, 372)(265, 402)(266, 371)(267, 410)(268, 373)(269, 401)(270, 400)(271, 396)(272, 416)(273, 375)(274, 377)(275, 379)(276, 391)(277, 378)(278, 424)(279, 380)(280, 390)(281, 389)(282, 385)(283, 430)(284, 382)(285, 422)(286, 425)(287, 423)(288, 419)(289, 421)(290, 387)(291, 420)(292, 437)(293, 439)(294, 438)(295, 436)(296, 392)(297, 443)(298, 434)(299, 408)(300, 411)(301, 409)(302, 405)(303, 407)(304, 398)(305, 406)(306, 448)(307, 450)(308, 449)(309, 447)(310, 403)(311, 454)(312, 445)(313, 452)(314, 418)(315, 457)(316, 415)(317, 412)(318, 414)(319, 413)(320, 461)(321, 444)(322, 456)(323, 417)(324, 441)(325, 432)(326, 465)(327, 429)(328, 426)(329, 428)(330, 427)(331, 469)(332, 433)(333, 464)(334, 431)(335, 471)(336, 442)(337, 435)(338, 468)(339, 472)(340, 466)(341, 440)(342, 470)(343, 475)(344, 453)(345, 446)(346, 460)(347, 476)(348, 458)(349, 451)(350, 462)(351, 455)(352, 459)(353, 478)(354, 477)(355, 463)(356, 467)(357, 474)(358, 473)(359, 480)(360, 479)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.1985
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 240 f = 180
	degree seq :: [ 20^24 ]

E19.1989 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^3, (Y3 * Y1)^5, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 10, 130)(6, 126, 12, 132)(8, 128, 14, 134)(11, 131, 18, 138)(13, 133, 21, 141)(15, 135, 22, 142)(16, 136, 25, 145)(17, 137, 26, 146)(19, 139, 27, 147)(20, 140, 30, 150)(23, 143, 34, 154)(24, 144, 35, 155)(28, 148, 40, 160)(29, 149, 41, 161)(31, 151, 37, 157)(32, 152, 44, 164)(33, 153, 45, 165)(36, 156, 47, 167)(38, 158, 50, 170)(39, 159, 51, 171)(42, 162, 53, 173)(43, 163, 55, 175)(46, 166, 57, 177)(48, 168, 60, 180)(49, 169, 61, 181)(52, 172, 63, 183)(54, 174, 66, 186)(56, 176, 67, 187)(58, 178, 70, 190)(59, 179, 71, 191)(62, 182, 73, 193)(64, 184, 76, 196)(65, 185, 77, 197)(68, 188, 80, 200)(69, 189, 81, 201)(72, 192, 83, 203)(74, 194, 86, 206)(75, 195, 87, 207)(78, 198, 89, 209)(79, 199, 91, 211)(82, 202, 93, 213)(84, 204, 90, 210)(85, 205, 96, 216)(88, 208, 98, 218)(92, 212, 101, 221)(94, 214, 102, 222)(95, 215, 104, 224)(97, 217, 105, 225)(99, 219, 106, 226)(100, 220, 108, 228)(103, 223, 110, 230)(107, 227, 113, 233)(109, 229, 115, 235)(111, 231, 116, 236)(112, 232, 117, 237)(114, 234, 118, 238)(119, 239, 120, 240)(241, 361, 243, 363)(242, 362, 245, 365)(244, 364, 248, 368)(246, 366, 251, 371)(247, 367, 250, 370)(249, 369, 255, 375)(252, 372, 259, 379)(253, 373, 257, 377)(254, 374, 262, 382)(256, 376, 264, 384)(258, 378, 267, 387)(260, 380, 269, 389)(261, 381, 271, 391)(263, 383, 273, 393)(265, 385, 276, 396)(266, 386, 277, 397)(268, 388, 279, 399)(270, 390, 282, 402)(272, 392, 283, 403)(274, 394, 286, 406)(275, 395, 287, 407)(278, 398, 289, 409)(280, 400, 292, 412)(281, 401, 293, 413)(284, 404, 296, 416)(285, 405, 297, 417)(288, 408, 299, 419)(290, 410, 302, 422)(291, 411, 303, 423)(294, 414, 305, 425)(295, 415, 307, 427)(298, 418, 309, 429)(300, 420, 312, 432)(301, 421, 313, 433)(304, 424, 315, 435)(306, 426, 318, 438)(308, 428, 319, 439)(310, 430, 322, 442)(311, 431, 323, 443)(314, 434, 325, 445)(316, 436, 328, 448)(317, 437, 329, 449)(320, 440, 332, 452)(321, 441, 333, 453)(324, 444, 335, 455)(326, 446, 337, 457)(327, 447, 338, 458)(330, 450, 340, 460)(331, 451, 341, 461)(334, 454, 343, 463)(336, 456, 345, 465)(339, 459, 347, 467)(342, 462, 349, 469)(344, 464, 348, 468)(346, 466, 352, 472)(350, 470, 355, 475)(351, 471, 354, 474)(353, 473, 357, 477)(356, 476, 359, 479)(358, 478, 360, 480)
	L = (1, 244)(2, 246)(3, 248)(4, 241)(5, 251)(6, 242)(7, 253)(8, 243)(9, 256)(10, 257)(11, 245)(12, 260)(13, 247)(14, 263)(15, 264)(16, 249)(17, 250)(18, 268)(19, 269)(20, 252)(21, 272)(22, 273)(23, 254)(24, 255)(25, 270)(26, 278)(27, 279)(28, 258)(29, 259)(30, 265)(31, 283)(32, 261)(33, 262)(34, 284)(35, 288)(36, 282)(37, 289)(38, 266)(39, 267)(40, 290)(41, 294)(42, 276)(43, 271)(44, 274)(45, 298)(46, 296)(47, 299)(48, 275)(49, 277)(50, 280)(51, 304)(52, 302)(53, 305)(54, 281)(55, 308)(56, 286)(57, 309)(58, 285)(59, 287)(60, 310)(61, 314)(62, 292)(63, 315)(64, 291)(65, 293)(66, 316)(67, 319)(68, 295)(69, 297)(70, 300)(71, 324)(72, 322)(73, 325)(74, 301)(75, 303)(76, 306)(77, 330)(78, 328)(79, 307)(80, 326)(81, 334)(82, 312)(83, 335)(84, 311)(85, 313)(86, 320)(87, 339)(88, 318)(89, 340)(90, 317)(91, 342)(92, 337)(93, 343)(94, 321)(95, 323)(96, 346)(97, 332)(98, 347)(99, 327)(100, 329)(101, 349)(102, 331)(103, 333)(104, 351)(105, 352)(106, 336)(107, 338)(108, 354)(109, 341)(110, 356)(111, 344)(112, 345)(113, 358)(114, 348)(115, 359)(116, 350)(117, 360)(118, 353)(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, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.2000
Graph:: simple bipartite
	v = 120 e = 240 f = 84
	degree seq :: [ 4^120 ]

E19.1990 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^5, (Y3 * Y1)^5, (Y1 * Y3 * Y1 * Y2)^3, Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 10, 130)(6, 126, 12, 132)(8, 128, 15, 135)(11, 131, 20, 140)(13, 133, 23, 143)(14, 134, 25, 145)(16, 136, 28, 148)(17, 137, 30, 150)(18, 138, 31, 151)(19, 139, 33, 153)(21, 141, 36, 156)(22, 142, 38, 158)(24, 144, 40, 160)(26, 146, 43, 163)(27, 147, 45, 165)(29, 149, 48, 168)(32, 152, 51, 171)(34, 154, 54, 174)(35, 155, 56, 176)(37, 157, 59, 179)(39, 159, 61, 181)(41, 161, 58, 178)(42, 162, 65, 185)(44, 164, 68, 188)(46, 166, 66, 186)(47, 167, 52, 172)(49, 169, 73, 193)(50, 170, 74, 194)(53, 173, 78, 198)(55, 175, 81, 201)(57, 177, 79, 199)(60, 180, 86, 206)(62, 182, 89, 209)(63, 183, 91, 211)(64, 184, 92, 212)(67, 187, 87, 207)(69, 189, 97, 217)(70, 190, 98, 218)(71, 191, 99, 219)(72, 192, 101, 221)(75, 195, 105, 225)(76, 196, 107, 227)(77, 197, 108, 228)(80, 200, 103, 223)(82, 202, 113, 233)(83, 203, 114, 234)(84, 204, 115, 235)(85, 205, 117, 237)(88, 208, 118, 238)(90, 210, 111, 231)(93, 213, 109, 229)(94, 214, 110, 230)(95, 215, 106, 226)(96, 216, 116, 236)(100, 220, 112, 232)(102, 222, 104, 224)(119, 239, 120, 240)(241, 361, 243, 363)(242, 362, 245, 365)(244, 364, 248, 368)(246, 366, 251, 371)(247, 367, 253, 373)(249, 369, 256, 376)(250, 370, 258, 378)(252, 372, 261, 381)(254, 374, 264, 384)(255, 375, 266, 386)(257, 377, 269, 389)(259, 379, 272, 392)(260, 380, 274, 394)(262, 382, 277, 397)(263, 383, 271, 391)(265, 385, 281, 401)(267, 387, 284, 404)(268, 388, 286, 406)(270, 390, 289, 409)(273, 393, 292, 412)(275, 395, 295, 415)(276, 396, 297, 417)(278, 398, 300, 420)(279, 399, 290, 410)(280, 400, 302, 422)(282, 402, 304, 424)(283, 403, 306, 426)(285, 405, 309, 429)(287, 407, 310, 430)(288, 408, 311, 431)(291, 411, 315, 435)(293, 413, 317, 437)(294, 414, 319, 439)(296, 416, 322, 442)(298, 418, 323, 443)(299, 419, 324, 444)(301, 421, 327, 447)(303, 423, 330, 450)(305, 425, 333, 453)(307, 427, 334, 454)(308, 428, 335, 455)(312, 432, 340, 460)(313, 433, 342, 462)(314, 434, 343, 463)(316, 436, 346, 466)(318, 438, 349, 469)(320, 440, 350, 470)(321, 441, 351, 471)(325, 445, 356, 476)(326, 446, 358, 478)(328, 448, 355, 475)(329, 449, 354, 474)(331, 451, 353, 473)(332, 452, 348, 468)(336, 456, 359, 479)(337, 457, 347, 467)(338, 458, 345, 465)(339, 459, 344, 464)(341, 461, 357, 477)(352, 472, 360, 480)
	L = (1, 244)(2, 246)(3, 248)(4, 241)(5, 251)(6, 242)(7, 254)(8, 243)(9, 257)(10, 259)(11, 245)(12, 262)(13, 264)(14, 247)(15, 267)(16, 269)(17, 249)(18, 272)(19, 250)(20, 275)(21, 277)(22, 252)(23, 279)(24, 253)(25, 282)(26, 284)(27, 255)(28, 287)(29, 256)(30, 278)(31, 290)(32, 258)(33, 293)(34, 295)(35, 260)(36, 298)(37, 261)(38, 270)(39, 263)(40, 303)(41, 304)(42, 265)(43, 307)(44, 266)(45, 305)(46, 310)(47, 268)(48, 312)(49, 300)(50, 271)(51, 316)(52, 317)(53, 273)(54, 320)(55, 274)(56, 318)(57, 323)(58, 276)(59, 325)(60, 289)(61, 328)(62, 330)(63, 280)(64, 281)(65, 285)(66, 334)(67, 283)(68, 336)(69, 333)(70, 286)(71, 340)(72, 288)(73, 337)(74, 344)(75, 346)(76, 291)(77, 292)(78, 296)(79, 350)(80, 294)(81, 352)(82, 349)(83, 297)(84, 356)(85, 299)(86, 353)(87, 355)(88, 301)(89, 345)(90, 302)(91, 358)(92, 357)(93, 309)(94, 306)(95, 359)(96, 308)(97, 313)(98, 354)(99, 343)(100, 311)(101, 348)(102, 347)(103, 339)(104, 314)(105, 329)(106, 315)(107, 342)(108, 341)(109, 322)(110, 319)(111, 360)(112, 321)(113, 326)(114, 338)(115, 327)(116, 324)(117, 332)(118, 331)(119, 335)(120, 351)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.1999
Graph:: simple bipartite
	v = 120 e = 240 f = 84
	degree seq :: [ 4^120 ]

E19.1991 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^5, (Y1 * Y3 * Y1 * Y2 * Y1 * Y2)^2, (Y1 * Y2)^6, Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 10, 130)(6, 126, 12, 132)(8, 128, 15, 135)(11, 131, 20, 140)(13, 133, 23, 143)(14, 134, 25, 145)(16, 136, 28, 148)(17, 137, 30, 150)(18, 138, 31, 151)(19, 139, 33, 153)(21, 141, 36, 156)(22, 142, 38, 158)(24, 144, 41, 161)(26, 146, 44, 164)(27, 147, 46, 166)(29, 149, 49, 169)(32, 152, 53, 173)(34, 154, 56, 176)(35, 155, 58, 178)(37, 157, 61, 181)(39, 159, 51, 171)(40, 160, 59, 179)(42, 162, 54, 174)(43, 163, 67, 187)(45, 165, 70, 190)(47, 167, 52, 172)(48, 168, 73, 193)(50, 170, 76, 196)(55, 175, 81, 201)(57, 177, 84, 204)(60, 180, 87, 207)(62, 182, 90, 210)(63, 183, 82, 202)(64, 184, 78, 198)(65, 185, 92, 212)(66, 186, 93, 213)(68, 188, 77, 197)(69, 189, 96, 216)(71, 191, 99, 219)(72, 192, 100, 220)(74, 194, 102, 222)(75, 195, 104, 224)(79, 199, 107, 227)(80, 200, 103, 223)(83, 203, 110, 230)(85, 205, 98, 218)(86, 206, 111, 231)(88, 208, 112, 232)(89, 209, 113, 233)(91, 211, 105, 225)(94, 214, 115, 235)(95, 215, 116, 236)(97, 217, 118, 238)(101, 221, 119, 239)(106, 226, 114, 234)(108, 228, 117, 237)(109, 229, 120, 240)(241, 361, 243, 363)(242, 362, 245, 365)(244, 364, 248, 368)(246, 366, 251, 371)(247, 367, 253, 373)(249, 369, 256, 376)(250, 370, 258, 378)(252, 372, 261, 381)(254, 374, 264, 384)(255, 375, 266, 386)(257, 377, 269, 389)(259, 379, 272, 392)(260, 380, 274, 394)(262, 382, 277, 397)(263, 383, 279, 399)(265, 385, 282, 402)(267, 387, 285, 405)(268, 388, 287, 407)(270, 390, 290, 410)(271, 391, 291, 411)(273, 393, 294, 414)(275, 395, 297, 417)(276, 396, 299, 419)(278, 398, 302, 422)(280, 400, 303, 423)(281, 401, 304, 424)(283, 403, 306, 426)(284, 404, 308, 428)(286, 406, 311, 431)(288, 408, 312, 432)(289, 409, 314, 434)(292, 412, 317, 437)(293, 413, 318, 438)(295, 415, 320, 440)(296, 416, 322, 442)(298, 418, 325, 445)(300, 420, 326, 446)(301, 421, 328, 448)(305, 425, 331, 451)(307, 427, 334, 454)(309, 429, 335, 455)(310, 430, 337, 457)(313, 433, 339, 459)(315, 435, 343, 463)(316, 436, 336, 456)(319, 439, 346, 466)(321, 441, 348, 468)(323, 443, 349, 469)(324, 444, 341, 461)(327, 447, 338, 458)(329, 449, 333, 453)(330, 450, 350, 470)(332, 452, 344, 464)(340, 460, 358, 478)(342, 462, 356, 476)(345, 465, 357, 477)(347, 467, 353, 473)(351, 471, 359, 479)(352, 472, 360, 480)(354, 474, 355, 475)
	L = (1, 244)(2, 246)(3, 248)(4, 241)(5, 251)(6, 242)(7, 254)(8, 243)(9, 257)(10, 259)(11, 245)(12, 262)(13, 264)(14, 247)(15, 267)(16, 269)(17, 249)(18, 272)(19, 250)(20, 275)(21, 277)(22, 252)(23, 280)(24, 253)(25, 283)(26, 285)(27, 255)(28, 288)(29, 256)(30, 278)(31, 292)(32, 258)(33, 295)(34, 297)(35, 260)(36, 300)(37, 261)(38, 270)(39, 303)(40, 263)(41, 305)(42, 306)(43, 265)(44, 309)(45, 266)(46, 307)(47, 312)(48, 268)(49, 315)(50, 302)(51, 317)(52, 271)(53, 319)(54, 320)(55, 273)(56, 323)(57, 274)(58, 321)(59, 326)(60, 276)(61, 329)(62, 290)(63, 279)(64, 331)(65, 281)(66, 282)(67, 286)(68, 335)(69, 284)(70, 338)(71, 334)(72, 287)(73, 341)(74, 343)(75, 289)(76, 345)(77, 291)(78, 346)(79, 293)(80, 294)(81, 298)(82, 349)(83, 296)(84, 339)(85, 348)(86, 299)(87, 337)(88, 333)(89, 301)(90, 354)(91, 304)(92, 351)(93, 328)(94, 311)(95, 308)(96, 357)(97, 327)(98, 310)(99, 324)(100, 347)(101, 313)(102, 352)(103, 314)(104, 359)(105, 316)(106, 318)(107, 340)(108, 325)(109, 322)(110, 355)(111, 332)(112, 342)(113, 358)(114, 330)(115, 350)(116, 360)(117, 336)(118, 353)(119, 344)(120, 356)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.1998
Graph:: simple bipartite
	v = 120 e = 240 f = 84
	degree seq :: [ 4^120 ]

E19.1992 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3)^5, Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1, (Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 10, 130)(6, 126, 12, 132)(8, 128, 15, 135)(11, 131, 20, 140)(13, 133, 23, 143)(14, 134, 25, 145)(16, 136, 28, 148)(17, 137, 30, 150)(18, 138, 31, 151)(19, 139, 33, 153)(21, 141, 36, 156)(22, 142, 38, 158)(24, 144, 41, 161)(26, 146, 44, 164)(27, 147, 46, 166)(29, 149, 49, 169)(32, 152, 53, 173)(34, 154, 56, 176)(35, 155, 58, 178)(37, 157, 61, 181)(39, 159, 63, 183)(40, 160, 65, 185)(42, 162, 68, 188)(43, 163, 70, 190)(45, 165, 73, 193)(47, 167, 75, 195)(48, 168, 77, 197)(50, 170, 80, 200)(51, 171, 79, 199)(52, 172, 69, 189)(54, 174, 84, 204)(55, 175, 85, 205)(57, 177, 88, 208)(59, 179, 74, 194)(60, 180, 90, 210)(62, 182, 92, 212)(64, 184, 94, 214)(66, 186, 95, 215)(67, 187, 97, 217)(71, 191, 100, 220)(72, 192, 102, 222)(76, 196, 106, 226)(78, 198, 109, 229)(81, 201, 108, 228)(82, 202, 112, 232)(83, 203, 98, 218)(86, 206, 111, 231)(87, 207, 115, 235)(89, 209, 118, 238)(91, 211, 107, 227)(93, 213, 104, 224)(96, 216, 116, 236)(99, 219, 105, 225)(101, 221, 114, 234)(103, 223, 113, 233)(110, 230, 117, 237)(119, 239, 120, 240)(241, 361, 243, 363)(242, 362, 245, 365)(244, 364, 248, 368)(246, 366, 251, 371)(247, 367, 253, 373)(249, 369, 256, 376)(250, 370, 258, 378)(252, 372, 261, 381)(254, 374, 264, 384)(255, 375, 266, 386)(257, 377, 269, 389)(259, 379, 272, 392)(260, 380, 274, 394)(262, 382, 277, 397)(263, 383, 279, 399)(265, 385, 282, 402)(267, 387, 285, 405)(268, 388, 287, 407)(270, 390, 290, 410)(271, 391, 291, 411)(273, 393, 294, 414)(275, 395, 297, 417)(276, 396, 299, 419)(278, 398, 302, 422)(280, 400, 304, 424)(281, 401, 306, 426)(283, 403, 309, 429)(284, 404, 311, 431)(286, 406, 314, 434)(288, 408, 316, 436)(289, 409, 318, 438)(292, 412, 321, 441)(293, 413, 322, 442)(295, 415, 305, 425)(296, 416, 326, 446)(298, 418, 315, 435)(300, 420, 329, 449)(301, 421, 331, 451)(303, 423, 333, 453)(307, 427, 336, 456)(308, 428, 320, 440)(310, 430, 339, 459)(312, 432, 341, 461)(313, 433, 343, 463)(317, 437, 347, 467)(319, 439, 350, 470)(323, 443, 353, 473)(324, 444, 332, 452)(325, 445, 345, 465)(327, 447, 354, 474)(328, 448, 356, 476)(330, 450, 349, 469)(334, 454, 355, 475)(335, 455, 358, 478)(337, 457, 340, 460)(338, 458, 351, 471)(342, 462, 348, 468)(344, 464, 359, 479)(346, 466, 352, 472)(357, 477, 360, 480)
	L = (1, 244)(2, 246)(3, 248)(4, 241)(5, 251)(6, 242)(7, 254)(8, 243)(9, 257)(10, 259)(11, 245)(12, 262)(13, 264)(14, 247)(15, 267)(16, 269)(17, 249)(18, 272)(19, 250)(20, 275)(21, 277)(22, 252)(23, 280)(24, 253)(25, 283)(26, 285)(27, 255)(28, 288)(29, 256)(30, 278)(31, 292)(32, 258)(33, 295)(34, 297)(35, 260)(36, 300)(37, 261)(38, 270)(39, 304)(40, 263)(41, 307)(42, 309)(43, 265)(44, 312)(45, 266)(46, 310)(47, 316)(48, 268)(49, 319)(50, 302)(51, 321)(52, 271)(53, 323)(54, 305)(55, 273)(56, 327)(57, 274)(58, 325)(59, 329)(60, 276)(61, 303)(62, 290)(63, 301)(64, 279)(65, 294)(66, 336)(67, 281)(68, 338)(69, 282)(70, 286)(71, 341)(72, 284)(73, 344)(74, 339)(75, 345)(76, 287)(77, 348)(78, 350)(79, 289)(80, 351)(81, 291)(82, 353)(83, 293)(84, 337)(85, 298)(86, 354)(87, 296)(88, 357)(89, 299)(90, 334)(91, 333)(92, 340)(93, 331)(94, 330)(95, 352)(96, 306)(97, 324)(98, 308)(99, 314)(100, 332)(101, 311)(102, 347)(103, 359)(104, 313)(105, 315)(106, 358)(107, 342)(108, 317)(109, 355)(110, 318)(111, 320)(112, 335)(113, 322)(114, 326)(115, 349)(116, 360)(117, 328)(118, 346)(119, 343)(120, 356)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.1997
Graph:: simple bipartite
	v = 120 e = 240 f = 84
	degree seq :: [ 4^120 ]

E19.1993 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^2 * Y2, (Y3^-1 * Y1)^5, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 9, 129)(4, 124, 12, 132)(5, 125, 13, 133)(6, 126, 14, 134)(7, 127, 17, 137)(8, 128, 18, 138)(10, 130, 22, 142)(11, 131, 16, 136)(15, 135, 30, 150)(19, 139, 35, 155)(20, 140, 36, 156)(21, 141, 37, 157)(23, 143, 39, 159)(24, 144, 40, 160)(25, 145, 41, 161)(26, 146, 42, 162)(27, 147, 43, 163)(28, 148, 44, 164)(29, 149, 45, 165)(31, 151, 47, 167)(32, 152, 48, 168)(33, 153, 49, 169)(34, 154, 50, 170)(38, 158, 58, 178)(46, 166, 55, 175)(51, 171, 73, 193)(52, 172, 64, 184)(53, 173, 74, 194)(54, 174, 75, 195)(56, 176, 76, 196)(57, 177, 60, 180)(59, 179, 77, 197)(61, 181, 78, 198)(62, 182, 79, 199)(63, 183, 80, 200)(65, 185, 81, 201)(66, 186, 72, 192)(67, 187, 82, 202)(68, 188, 70, 190)(69, 189, 83, 203)(71, 191, 84, 204)(85, 205, 109, 229)(86, 206, 92, 212)(87, 207, 110, 230)(88, 208, 90, 210)(89, 209, 108, 228)(91, 211, 106, 226)(93, 213, 111, 231)(94, 214, 100, 220)(95, 215, 112, 232)(96, 216, 98, 218)(97, 217, 104, 224)(99, 219, 102, 222)(101, 221, 113, 233)(103, 223, 114, 234)(105, 225, 115, 235)(107, 227, 116, 236)(117, 237, 119, 239)(118, 238, 120, 240)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 251, 371)(245, 365, 250, 370)(247, 367, 256, 376)(248, 368, 255, 375)(249, 369, 259, 379)(252, 372, 263, 383)(253, 373, 260, 380)(254, 374, 267, 387)(257, 377, 271, 391)(258, 378, 268, 388)(261, 381, 266, 386)(262, 382, 264, 384)(265, 385, 278, 398)(269, 389, 274, 394)(270, 390, 272, 392)(273, 393, 286, 406)(275, 395, 291, 411)(276, 396, 294, 414)(277, 397, 292, 412)(279, 399, 299, 419)(280, 400, 302, 422)(281, 401, 300, 420)(282, 402, 295, 415)(283, 403, 305, 425)(284, 404, 303, 423)(285, 405, 306, 426)(287, 407, 309, 429)(288, 408, 296, 416)(289, 409, 310, 430)(290, 410, 298, 418)(293, 413, 297, 417)(301, 421, 304, 424)(307, 427, 308, 428)(311, 431, 312, 432)(313, 433, 325, 445)(314, 434, 326, 446)(315, 435, 329, 449)(316, 436, 330, 450)(317, 437, 333, 453)(318, 438, 334, 454)(319, 439, 337, 457)(320, 440, 338, 458)(321, 441, 341, 461)(322, 442, 342, 462)(323, 443, 345, 465)(324, 444, 346, 466)(327, 447, 328, 448)(331, 451, 332, 452)(335, 455, 336, 456)(339, 459, 340, 460)(343, 463, 344, 464)(347, 467, 348, 468)(349, 469, 357, 477)(350, 470, 352, 472)(351, 471, 358, 478)(353, 473, 359, 479)(354, 474, 356, 476)(355, 475, 360, 480)
	L = (1, 244)(2, 247)(3, 250)(4, 245)(5, 241)(6, 255)(7, 248)(8, 242)(9, 260)(10, 251)(11, 243)(12, 264)(13, 259)(14, 268)(15, 256)(16, 246)(17, 272)(18, 267)(19, 266)(20, 261)(21, 249)(22, 263)(23, 278)(24, 265)(25, 252)(26, 253)(27, 274)(28, 269)(29, 254)(30, 271)(31, 286)(32, 273)(33, 257)(34, 258)(35, 292)(36, 295)(37, 291)(38, 262)(39, 300)(40, 290)(41, 299)(42, 294)(43, 306)(44, 298)(45, 305)(46, 270)(47, 310)(48, 282)(49, 309)(50, 303)(51, 297)(52, 293)(53, 275)(54, 288)(55, 296)(56, 276)(57, 277)(58, 302)(59, 304)(60, 301)(61, 279)(62, 284)(63, 280)(64, 281)(65, 308)(66, 307)(67, 283)(68, 285)(69, 312)(70, 311)(71, 287)(72, 289)(73, 326)(74, 325)(75, 330)(76, 329)(77, 334)(78, 333)(79, 338)(80, 337)(81, 342)(82, 341)(83, 346)(84, 345)(85, 328)(86, 327)(87, 313)(88, 314)(89, 332)(90, 331)(91, 315)(92, 316)(93, 336)(94, 335)(95, 317)(96, 318)(97, 340)(98, 339)(99, 319)(100, 320)(101, 344)(102, 343)(103, 321)(104, 322)(105, 348)(106, 347)(107, 323)(108, 324)(109, 352)(110, 357)(111, 350)(112, 358)(113, 356)(114, 359)(115, 354)(116, 360)(117, 351)(118, 349)(119, 355)(120, 353)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.1995
Graph:: simple bipartite
	v = 120 e = 240 f = 84
	degree seq :: [ 4^120 ]

E19.1994 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^5, (Y1 * Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^4 * Y1 * Y3, (Y3 * Y1 * Y3)^3, Y3 * Y1 * Y2 * Y1 * Y3^-2 * Y1 * Y3 * Y1 * Y2, (Y3^-1 * Y1)^5, (Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 9, 129)(4, 124, 12, 132)(5, 125, 14, 134)(6, 126, 16, 136)(7, 127, 19, 139)(8, 128, 21, 141)(10, 130, 26, 146)(11, 131, 18, 138)(13, 133, 32, 152)(15, 135, 34, 154)(17, 137, 38, 158)(20, 140, 44, 164)(22, 142, 46, 166)(23, 143, 47, 167)(24, 144, 49, 169)(25, 145, 51, 171)(27, 147, 56, 176)(28, 148, 57, 177)(29, 149, 58, 178)(30, 150, 60, 180)(31, 151, 62, 182)(33, 153, 67, 187)(35, 155, 70, 190)(36, 156, 72, 192)(37, 157, 74, 194)(39, 159, 79, 199)(40, 160, 80, 200)(41, 161, 81, 201)(42, 162, 83, 203)(43, 163, 85, 205)(45, 165, 89, 209)(48, 168, 76, 196)(50, 170, 97, 217)(52, 172, 78, 198)(53, 173, 71, 191)(54, 174, 99, 219)(55, 175, 75, 195)(59, 179, 87, 207)(61, 181, 68, 188)(63, 183, 88, 208)(64, 184, 82, 202)(65, 185, 105, 225)(66, 186, 86, 206)(69, 189, 106, 226)(73, 193, 113, 233)(77, 197, 115, 235)(84, 204, 90, 210)(91, 211, 107, 227)(92, 212, 110, 230)(93, 213, 109, 229)(94, 214, 108, 228)(95, 215, 116, 236)(96, 216, 114, 234)(98, 218, 112, 232)(100, 220, 111, 231)(101, 221, 118, 238)(102, 222, 117, 237)(103, 223, 120, 240)(104, 224, 119, 239)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 251, 371)(245, 365, 250, 370)(247, 367, 258, 378)(248, 368, 257, 377)(249, 369, 263, 383)(252, 372, 269, 389)(253, 373, 268, 388)(254, 374, 264, 384)(255, 375, 267, 387)(256, 376, 275, 395)(259, 379, 281, 401)(260, 380, 280, 400)(261, 381, 276, 396)(262, 382, 279, 399)(265, 385, 288, 408)(266, 386, 293, 413)(270, 390, 297, 417)(271, 391, 299, 419)(272, 392, 304, 424)(273, 393, 290, 410)(274, 394, 294, 414)(277, 397, 311, 431)(278, 398, 316, 436)(282, 402, 320, 440)(283, 403, 322, 442)(284, 404, 327, 447)(285, 405, 313, 433)(286, 406, 317, 437)(287, 407, 331, 451)(289, 409, 334, 454)(291, 411, 332, 452)(292, 412, 308, 428)(295, 415, 328, 448)(296, 416, 305, 425)(298, 418, 333, 453)(300, 420, 342, 462)(301, 421, 340, 460)(302, 422, 341, 461)(303, 423, 337, 457)(306, 426, 318, 438)(307, 427, 335, 455)(309, 429, 319, 439)(310, 430, 347, 467)(312, 432, 350, 470)(314, 434, 348, 468)(315, 435, 330, 450)(321, 441, 349, 469)(323, 443, 358, 478)(324, 444, 356, 476)(325, 445, 357, 477)(326, 446, 353, 473)(329, 449, 351, 471)(336, 456, 345, 465)(338, 458, 344, 464)(339, 459, 343, 463)(346, 466, 352, 472)(354, 474, 360, 480)(355, 475, 359, 479)
	L = (1, 244)(2, 247)(3, 250)(4, 253)(5, 241)(6, 257)(7, 260)(8, 242)(9, 264)(10, 267)(11, 243)(12, 270)(13, 255)(14, 263)(15, 245)(16, 276)(17, 279)(18, 246)(19, 282)(20, 262)(21, 275)(22, 248)(23, 288)(24, 290)(25, 249)(26, 294)(27, 268)(28, 251)(29, 299)(30, 301)(31, 252)(32, 305)(33, 254)(34, 293)(35, 311)(36, 313)(37, 256)(38, 317)(39, 280)(40, 258)(41, 322)(42, 324)(43, 259)(44, 309)(45, 261)(46, 316)(47, 332)(48, 308)(49, 335)(50, 292)(51, 331)(52, 265)(53, 328)(54, 319)(55, 266)(56, 304)(57, 269)(58, 341)(59, 337)(60, 329)(61, 303)(62, 333)(63, 271)(64, 318)(65, 286)(66, 272)(67, 334)(68, 273)(69, 274)(70, 348)(71, 330)(72, 351)(73, 315)(74, 347)(75, 277)(76, 306)(77, 296)(78, 278)(79, 327)(80, 281)(81, 357)(82, 353)(83, 307)(84, 326)(85, 349)(86, 283)(87, 295)(88, 284)(89, 350)(90, 285)(91, 298)(92, 344)(93, 287)(94, 345)(95, 358)(96, 289)(97, 340)(98, 291)(99, 352)(100, 297)(101, 338)(102, 339)(103, 300)(104, 302)(105, 359)(106, 343)(107, 321)(108, 360)(109, 310)(110, 346)(111, 342)(112, 312)(113, 356)(114, 314)(115, 336)(116, 320)(117, 354)(118, 355)(119, 323)(120, 325)(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, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.1996
Graph:: simple bipartite
	v = 120 e = 240 f = 84
	degree seq :: [ 4^120 ]

E19.1995 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y1^5, Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 14, 134, 5, 125)(3, 123, 9, 129, 20, 140, 25, 145, 11, 131)(4, 124, 12, 132, 26, 146, 16, 136, 8, 128)(7, 127, 17, 137, 34, 154, 37, 157, 19, 139)(10, 130, 23, 143, 41, 161, 39, 159, 22, 142)(13, 133, 28, 148, 46, 166, 48, 168, 29, 149)(15, 135, 31, 151, 51, 171, 54, 174, 33, 153)(18, 138, 21, 141, 40, 160, 56, 176, 36, 156)(24, 144, 27, 147, 45, 165, 64, 184, 42, 162)(30, 150, 49, 169, 69, 189, 70, 190, 50, 170)(32, 152, 35, 155, 57, 177, 72, 192, 53, 173)(38, 158, 59, 179, 79, 199, 78, 198, 58, 178)(43, 163, 65, 185, 85, 205, 86, 206, 66, 186)(44, 164, 52, 172, 73, 193, 67, 187, 47, 167)(55, 175, 75, 195, 95, 215, 94, 214, 74, 194)(60, 180, 61, 181, 82, 202, 99, 219, 81, 201)(62, 182, 80, 200, 100, 220, 83, 203, 63, 183)(68, 188, 88, 208, 104, 224, 105, 225, 89, 209)(71, 191, 91, 211, 107, 227, 106, 226, 90, 210)(76, 196, 77, 197, 97, 217, 111, 231, 96, 216)(84, 204, 101, 221, 114, 234, 103, 223, 87, 207)(92, 212, 93, 213, 109, 229, 117, 237, 108, 228)(98, 218, 110, 230, 116, 236, 115, 235, 102, 222)(112, 232, 113, 233, 119, 239, 120, 240, 118, 238)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 255, 375)(248, 368, 258, 378)(249, 369, 261, 381)(251, 371, 264, 384)(252, 372, 267, 387)(254, 374, 270, 390)(256, 376, 272, 392)(257, 377, 275, 395)(259, 379, 262, 382)(260, 380, 278, 398)(263, 383, 268, 388)(265, 385, 283, 403)(266, 386, 284, 404)(269, 389, 287, 407)(271, 391, 292, 412)(273, 393, 276, 396)(274, 394, 295, 415)(277, 397, 298, 418)(279, 399, 300, 420)(280, 400, 301, 421)(281, 401, 302, 422)(282, 402, 303, 423)(285, 405, 289, 409)(286, 406, 305, 425)(288, 408, 308, 428)(290, 410, 293, 413)(291, 411, 311, 431)(294, 414, 314, 434)(296, 416, 316, 436)(297, 417, 317, 437)(299, 419, 320, 440)(304, 424, 324, 444)(306, 426, 321, 441)(307, 427, 327, 447)(309, 429, 328, 448)(310, 430, 330, 450)(312, 432, 332, 452)(313, 433, 333, 453)(315, 435, 322, 442)(318, 438, 336, 456)(319, 439, 338, 458)(323, 443, 329, 449)(325, 445, 341, 461)(326, 446, 342, 462)(331, 451, 337, 457)(334, 454, 348, 468)(335, 455, 350, 470)(339, 459, 352, 472)(340, 460, 353, 473)(343, 463, 346, 466)(344, 464, 349, 469)(345, 465, 355, 475)(347, 467, 356, 476)(351, 471, 358, 478)(354, 474, 359, 479)(357, 477, 360, 480)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 256)(7, 258)(8, 242)(9, 262)(10, 243)(11, 263)(12, 245)(13, 267)(14, 266)(15, 272)(16, 246)(17, 276)(18, 247)(19, 261)(20, 279)(21, 259)(22, 249)(23, 251)(24, 268)(25, 281)(26, 254)(27, 253)(28, 264)(29, 285)(30, 284)(31, 293)(32, 255)(33, 275)(34, 296)(35, 273)(36, 257)(37, 280)(38, 300)(39, 260)(40, 277)(41, 265)(42, 286)(43, 302)(44, 270)(45, 269)(46, 282)(47, 289)(48, 304)(49, 287)(50, 292)(51, 312)(52, 290)(53, 271)(54, 297)(55, 316)(56, 274)(57, 294)(58, 301)(59, 321)(60, 278)(61, 298)(62, 283)(63, 305)(64, 288)(65, 303)(66, 320)(67, 309)(68, 324)(69, 307)(70, 313)(71, 332)(72, 291)(73, 310)(74, 317)(75, 336)(76, 295)(77, 314)(78, 322)(79, 339)(80, 306)(81, 299)(82, 318)(83, 325)(84, 308)(85, 323)(86, 340)(87, 328)(88, 327)(89, 341)(90, 333)(91, 348)(92, 311)(93, 330)(94, 337)(95, 351)(96, 315)(97, 334)(98, 352)(99, 319)(100, 326)(101, 329)(102, 353)(103, 344)(104, 343)(105, 354)(106, 349)(107, 357)(108, 331)(109, 346)(110, 358)(111, 335)(112, 338)(113, 342)(114, 345)(115, 359)(116, 360)(117, 347)(118, 350)(119, 355)(120, 356)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4^4 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E19.1993
Graph:: simple bipartite
	v = 84 e = 240 f = 120
	degree seq :: [ 4^60, 10^24 ]

E19.1996 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1)^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^5, Y1^-1 * Y3 * Y2 * Y1^-2 * Y2 * Y1^2 * Y2 * Y1^-1, (Y2 * Y1^-1 * Y2 * Y1^-2)^2, Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2, (Y2 * Y1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 14, 134, 5, 125)(3, 123, 9, 129, 20, 140, 25, 145, 11, 131)(4, 124, 12, 132, 26, 146, 16, 136, 8, 128)(7, 127, 17, 137, 34, 154, 39, 159, 19, 139)(10, 130, 23, 143, 45, 165, 41, 161, 22, 142)(13, 133, 28, 148, 53, 173, 56, 176, 29, 149)(15, 135, 31, 151, 59, 179, 64, 184, 33, 153)(18, 138, 37, 157, 70, 190, 66, 186, 36, 156)(21, 141, 42, 162, 76, 196, 81, 201, 44, 164)(24, 144, 47, 167, 85, 205, 60, 180, 48, 168)(27, 147, 51, 171, 90, 210, 74, 194, 52, 172)(30, 150, 57, 177, 82, 202, 97, 217, 58, 178)(32, 152, 62, 182, 40, 160, 75, 195, 61, 181)(35, 155, 67, 187, 55, 175, 95, 215, 69, 189)(38, 158, 72, 192, 106, 226, 96, 216, 73, 193)(43, 163, 79, 199, 111, 231, 108, 228, 78, 198)(46, 166, 83, 203, 98, 218, 113, 233, 84, 204)(49, 169, 88, 208, 50, 170, 89, 209, 65, 185)(54, 174, 93, 213, 63, 183, 100, 220, 94, 214)(68, 188, 103, 223, 116, 236, 91, 211, 102, 222)(71, 191, 105, 225, 115, 235, 112, 232, 80, 200)(77, 197, 101, 221, 87, 207, 107, 227, 110, 230)(86, 206, 104, 224, 99, 219, 117, 237, 92, 212)(109, 229, 120, 240, 119, 239, 114, 234, 118, 238)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 255, 375)(248, 368, 258, 378)(249, 369, 261, 381)(251, 371, 264, 384)(252, 372, 267, 387)(254, 374, 270, 390)(256, 376, 272, 392)(257, 377, 275, 395)(259, 379, 278, 398)(260, 380, 280, 400)(262, 382, 283, 403)(263, 383, 286, 406)(265, 385, 289, 409)(266, 386, 290, 410)(268, 388, 294, 414)(269, 389, 295, 415)(271, 391, 300, 420)(273, 393, 303, 423)(274, 394, 305, 425)(276, 396, 308, 428)(277, 397, 311, 431)(279, 399, 314, 434)(281, 401, 304, 424)(282, 402, 317, 437)(284, 404, 320, 440)(285, 405, 322, 442)(287, 407, 326, 446)(288, 408, 327, 447)(291, 411, 331, 451)(292, 412, 332, 452)(293, 413, 310, 430)(296, 416, 315, 435)(297, 417, 336, 456)(298, 418, 316, 436)(299, 419, 330, 450)(301, 421, 338, 458)(302, 422, 339, 459)(306, 426, 337, 457)(307, 427, 341, 461)(309, 429, 344, 464)(312, 432, 319, 439)(313, 433, 347, 467)(318, 438, 349, 469)(321, 441, 353, 473)(323, 443, 354, 474)(324, 444, 334, 454)(325, 445, 351, 471)(328, 448, 355, 475)(329, 449, 348, 468)(333, 453, 350, 470)(335, 455, 352, 472)(340, 460, 343, 463)(342, 462, 358, 478)(345, 465, 359, 479)(346, 466, 356, 476)(357, 477, 360, 480)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 256)(7, 258)(8, 242)(9, 262)(10, 243)(11, 263)(12, 245)(13, 267)(14, 266)(15, 272)(16, 246)(17, 276)(18, 247)(19, 277)(20, 281)(21, 283)(22, 249)(23, 251)(24, 286)(25, 285)(26, 254)(27, 253)(28, 292)(29, 291)(30, 290)(31, 301)(32, 255)(33, 302)(34, 306)(35, 308)(36, 257)(37, 259)(38, 311)(39, 310)(40, 304)(41, 260)(42, 318)(43, 261)(44, 319)(45, 265)(46, 264)(47, 324)(48, 323)(49, 322)(50, 270)(51, 269)(52, 268)(53, 314)(54, 332)(55, 331)(56, 330)(57, 328)(58, 329)(59, 315)(60, 338)(61, 271)(62, 273)(63, 339)(64, 280)(65, 337)(66, 274)(67, 342)(68, 275)(69, 343)(70, 279)(71, 278)(72, 320)(73, 345)(74, 293)(75, 299)(76, 348)(77, 349)(78, 282)(79, 284)(80, 312)(81, 351)(82, 289)(83, 288)(84, 287)(85, 353)(86, 334)(87, 354)(88, 297)(89, 298)(90, 296)(91, 295)(92, 294)(93, 357)(94, 326)(95, 356)(96, 355)(97, 305)(98, 300)(99, 303)(100, 344)(101, 358)(102, 307)(103, 309)(104, 340)(105, 313)(106, 352)(107, 359)(108, 316)(109, 317)(110, 360)(111, 321)(112, 346)(113, 325)(114, 327)(115, 336)(116, 335)(117, 333)(118, 341)(119, 347)(120, 350)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4^4 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E19.1994
Graph:: simple bipartite
	v = 84 e = 240 f = 120
	degree seq :: [ 4^60, 10^24 ]

E19.1997 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^5, (Y1^-1 * Y2 * Y1 * Y2 * Y1^-1)^2, Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^2, Y1^2 * Y3 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y1 * Y2, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 14, 134, 5, 125)(3, 123, 9, 129, 20, 140, 25, 145, 11, 131)(4, 124, 12, 132, 26, 146, 16, 136, 8, 128)(7, 127, 17, 137, 34, 154, 39, 159, 19, 139)(10, 130, 23, 143, 45, 165, 41, 161, 22, 142)(13, 133, 28, 148, 53, 173, 56, 176, 29, 149)(15, 135, 31, 151, 59, 179, 64, 184, 33, 153)(18, 138, 37, 157, 70, 190, 66, 186, 36, 156)(21, 141, 42, 162, 77, 197, 63, 183, 44, 164)(24, 144, 47, 167, 85, 205, 88, 208, 48, 168)(27, 147, 51, 171, 93, 213, 96, 216, 52, 172)(30, 150, 57, 177, 101, 221, 103, 223, 58, 178)(32, 152, 62, 182, 87, 207, 105, 225, 61, 181)(35, 155, 67, 187, 82, 202, 102, 222, 69, 189)(38, 158, 72, 192, 54, 174, 97, 217, 73, 193)(40, 160, 75, 195, 114, 234, 94, 214, 74, 194)(43, 163, 80, 200, 106, 226, 100, 220, 79, 199)(46, 166, 83, 203, 65, 185, 107, 227, 84, 204)(49, 169, 89, 209, 68, 188, 108, 228, 90, 210)(50, 170, 91, 211, 113, 233, 78, 198, 92, 212)(55, 175, 98, 218, 60, 180, 76, 196, 99, 219)(71, 191, 110, 230, 104, 224, 95, 215, 111, 231)(81, 201, 112, 232, 86, 206, 117, 237, 109, 229)(115, 235, 118, 238, 120, 240, 116, 236, 119, 239)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 255, 375)(248, 368, 258, 378)(249, 369, 261, 381)(251, 371, 264, 384)(252, 372, 267, 387)(254, 374, 270, 390)(256, 376, 272, 392)(257, 377, 275, 395)(259, 379, 278, 398)(260, 380, 280, 400)(262, 382, 283, 403)(263, 383, 286, 406)(265, 385, 289, 409)(266, 386, 290, 410)(268, 388, 294, 414)(269, 389, 295, 415)(271, 391, 300, 420)(273, 393, 303, 423)(274, 394, 305, 425)(276, 396, 308, 428)(277, 397, 311, 431)(279, 399, 314, 434)(281, 401, 316, 436)(282, 402, 318, 438)(284, 404, 321, 441)(285, 405, 322, 442)(287, 407, 326, 446)(288, 408, 327, 447)(291, 411, 334, 454)(292, 412, 335, 455)(293, 413, 329, 449)(296, 416, 340, 460)(297, 417, 325, 445)(298, 418, 342, 462)(299, 419, 344, 464)(301, 421, 315, 435)(302, 422, 346, 466)(304, 424, 323, 443)(306, 426, 328, 448)(307, 427, 336, 456)(309, 429, 349, 469)(310, 430, 339, 459)(312, 432, 352, 472)(313, 433, 353, 473)(317, 437, 333, 453)(319, 439, 341, 461)(320, 440, 355, 475)(324, 444, 356, 476)(330, 450, 331, 451)(332, 452, 347, 467)(337, 457, 345, 465)(338, 458, 357, 477)(343, 463, 350, 470)(348, 468, 358, 478)(351, 471, 359, 479)(354, 474, 360, 480)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 256)(7, 258)(8, 242)(9, 262)(10, 243)(11, 263)(12, 245)(13, 267)(14, 266)(15, 272)(16, 246)(17, 276)(18, 247)(19, 277)(20, 281)(21, 283)(22, 249)(23, 251)(24, 286)(25, 285)(26, 254)(27, 253)(28, 292)(29, 291)(30, 290)(31, 301)(32, 255)(33, 302)(34, 306)(35, 308)(36, 257)(37, 259)(38, 311)(39, 310)(40, 316)(41, 260)(42, 319)(43, 261)(44, 320)(45, 265)(46, 264)(47, 324)(48, 323)(49, 322)(50, 270)(51, 269)(52, 268)(53, 336)(54, 335)(55, 334)(56, 333)(57, 332)(58, 331)(59, 345)(60, 315)(61, 271)(62, 273)(63, 346)(64, 327)(65, 328)(66, 274)(67, 329)(68, 275)(69, 348)(70, 279)(71, 278)(72, 351)(73, 350)(74, 339)(75, 300)(76, 280)(77, 340)(78, 341)(79, 282)(80, 284)(81, 355)(82, 289)(83, 288)(84, 287)(85, 347)(86, 356)(87, 304)(88, 305)(89, 307)(90, 342)(91, 298)(92, 297)(93, 296)(94, 295)(95, 294)(96, 293)(97, 344)(98, 354)(99, 314)(100, 317)(101, 318)(102, 330)(103, 353)(104, 337)(105, 299)(106, 303)(107, 325)(108, 309)(109, 358)(110, 313)(111, 312)(112, 359)(113, 343)(114, 338)(115, 321)(116, 326)(117, 360)(118, 349)(119, 352)(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) :: { ( 4^4 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E19.1992
Graph:: simple bipartite
	v = 84 e = 240 f = 120
	degree seq :: [ 4^60, 10^24 ]

E19.1998 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^5, (Y2 * Y1^-1 * Y2 * Y1^-2)^2, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-2 * Y2 * Y1^-2, (Y2 * Y1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 14, 134, 5, 125)(3, 123, 9, 129, 20, 140, 25, 145, 11, 131)(4, 124, 12, 132, 26, 146, 16, 136, 8, 128)(7, 127, 17, 137, 34, 154, 39, 159, 19, 139)(10, 130, 23, 143, 45, 165, 41, 161, 22, 142)(13, 133, 28, 148, 53, 173, 56, 176, 29, 149)(15, 135, 31, 151, 59, 179, 64, 184, 33, 153)(18, 138, 37, 157, 70, 190, 66, 186, 36, 156)(21, 141, 42, 162, 78, 198, 83, 203, 44, 164)(24, 144, 47, 167, 87, 207, 60, 180, 48, 168)(27, 147, 51, 171, 93, 213, 96, 216, 52, 172)(30, 150, 57, 177, 101, 221, 103, 223, 58, 178)(32, 152, 62, 182, 105, 225, 82, 202, 61, 181)(35, 155, 67, 187, 55, 175, 100, 220, 69, 189)(38, 158, 72, 192, 76, 196, 102, 222, 73, 193)(40, 160, 75, 195, 71, 191, 111, 231, 77, 197)(43, 163, 81, 201, 74, 194, 113, 233, 80, 200)(46, 166, 85, 205, 104, 224, 97, 217, 86, 206)(49, 169, 90, 210, 117, 237, 95, 215, 65, 185)(50, 170, 91, 211, 88, 208, 110, 230, 92, 212)(54, 174, 98, 218, 63, 183, 84, 204, 99, 219)(68, 188, 109, 229, 106, 226, 94, 214, 108, 228)(79, 199, 107, 227, 89, 209, 112, 232, 115, 235)(114, 234, 120, 240, 119, 239, 116, 236, 118, 238)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 255, 375)(248, 368, 258, 378)(249, 369, 261, 381)(251, 371, 264, 384)(252, 372, 267, 387)(254, 374, 270, 390)(256, 376, 272, 392)(257, 377, 275, 395)(259, 379, 278, 398)(260, 380, 280, 400)(262, 382, 283, 403)(263, 383, 286, 406)(265, 385, 289, 409)(266, 386, 290, 410)(268, 388, 294, 414)(269, 389, 295, 415)(271, 391, 300, 420)(273, 393, 303, 423)(274, 394, 305, 425)(276, 396, 308, 428)(277, 397, 311, 431)(279, 399, 314, 434)(281, 401, 316, 436)(282, 402, 319, 439)(284, 404, 322, 442)(285, 405, 324, 444)(287, 407, 328, 448)(288, 408, 329, 449)(291, 411, 334, 454)(292, 412, 335, 455)(293, 413, 337, 457)(296, 416, 315, 435)(297, 417, 342, 462)(298, 418, 318, 438)(299, 419, 321, 441)(301, 421, 344, 464)(302, 422, 330, 450)(304, 424, 346, 466)(306, 426, 339, 459)(307, 427, 347, 467)(309, 429, 350, 470)(310, 430, 323, 443)(312, 432, 333, 453)(313, 433, 352, 472)(317, 437, 332, 452)(320, 440, 354, 474)(325, 445, 356, 476)(326, 446, 343, 463)(327, 447, 336, 456)(331, 451, 353, 473)(338, 458, 355, 475)(340, 460, 345, 465)(341, 461, 349, 469)(348, 468, 358, 478)(351, 471, 359, 479)(357, 477, 360, 480)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 256)(7, 258)(8, 242)(9, 262)(10, 243)(11, 263)(12, 245)(13, 267)(14, 266)(15, 272)(16, 246)(17, 276)(18, 247)(19, 277)(20, 281)(21, 283)(22, 249)(23, 251)(24, 286)(25, 285)(26, 254)(27, 253)(28, 292)(29, 291)(30, 290)(31, 301)(32, 255)(33, 302)(34, 306)(35, 308)(36, 257)(37, 259)(38, 311)(39, 310)(40, 316)(41, 260)(42, 320)(43, 261)(44, 321)(45, 265)(46, 264)(47, 326)(48, 325)(49, 324)(50, 270)(51, 269)(52, 268)(53, 336)(54, 335)(55, 334)(56, 333)(57, 332)(58, 331)(59, 322)(60, 344)(61, 271)(62, 273)(63, 330)(64, 345)(65, 339)(66, 274)(67, 348)(68, 275)(69, 349)(70, 279)(71, 278)(72, 315)(73, 351)(74, 323)(75, 312)(76, 280)(77, 342)(78, 353)(79, 354)(80, 282)(81, 284)(82, 299)(83, 314)(84, 289)(85, 288)(86, 287)(87, 337)(88, 343)(89, 356)(90, 303)(91, 298)(92, 297)(93, 296)(94, 295)(95, 294)(96, 293)(97, 327)(98, 357)(99, 305)(100, 346)(101, 350)(102, 317)(103, 328)(104, 300)(105, 304)(106, 340)(107, 358)(108, 307)(109, 309)(110, 341)(111, 313)(112, 359)(113, 318)(114, 319)(115, 360)(116, 329)(117, 338)(118, 347)(119, 352)(120, 355)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4^4 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E19.1991
Graph:: simple bipartite
	v = 84 e = 240 f = 120
	degree seq :: [ 4^60, 10^24 ]

E19.1999 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1^5, (Y1^-1 * Y2 * Y1^-1)^3, (Y2 * Y1 * Y2 * Y1^-2)^2, (Y2 * Y1^-1)^5, (Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 14, 134, 5, 125)(3, 123, 9, 129, 20, 140, 25, 145, 11, 131)(4, 124, 12, 132, 26, 146, 16, 136, 8, 128)(7, 127, 17, 137, 34, 154, 39, 159, 19, 139)(10, 130, 23, 143, 45, 165, 41, 161, 22, 142)(13, 133, 28, 148, 53, 173, 56, 176, 29, 149)(15, 135, 31, 151, 49, 169, 63, 183, 33, 153)(18, 138, 37, 157, 68, 188, 64, 184, 36, 156)(21, 141, 42, 162, 74, 194, 62, 182, 44, 164)(24, 144, 47, 167, 82, 202, 84, 204, 48, 168)(27, 147, 51, 171, 87, 207, 90, 210, 52, 172)(30, 150, 57, 177, 72, 192, 40, 160, 58, 178)(32, 152, 61, 181, 96, 216, 79, 199, 60, 180)(35, 155, 65, 185, 98, 218, 93, 213, 67, 187)(38, 158, 70, 190, 54, 174, 91, 211, 71, 191)(43, 163, 77, 197, 97, 217, 106, 226, 76, 196)(46, 166, 80, 200, 109, 229, 111, 231, 81, 201)(50, 170, 85, 205, 73, 193, 102, 222, 86, 206)(55, 175, 92, 212, 59, 179, 94, 214, 75, 195)(66, 186, 100, 220, 113, 233, 117, 237, 99, 219)(69, 189, 103, 223, 115, 235, 89, 209, 104, 224)(78, 198, 105, 225, 83, 203, 112, 232, 101, 221)(88, 208, 107, 227, 116, 236, 95, 215, 114, 234)(108, 228, 118, 238, 120, 240, 110, 230, 119, 239)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 255, 375)(248, 368, 258, 378)(249, 369, 261, 381)(251, 371, 264, 384)(252, 372, 267, 387)(254, 374, 270, 390)(256, 376, 272, 392)(257, 377, 275, 395)(259, 379, 278, 398)(260, 380, 280, 400)(262, 382, 283, 403)(263, 383, 286, 406)(265, 385, 289, 409)(266, 386, 290, 410)(268, 388, 294, 414)(269, 389, 295, 415)(271, 391, 299, 419)(273, 393, 302, 422)(274, 394, 296, 416)(276, 396, 306, 426)(277, 397, 309, 429)(279, 399, 312, 432)(281, 401, 313, 433)(282, 402, 315, 435)(284, 404, 318, 438)(285, 405, 319, 439)(287, 407, 323, 443)(288, 408, 305, 425)(291, 411, 328, 448)(292, 412, 329, 449)(293, 413, 303, 423)(297, 417, 322, 442)(298, 418, 333, 453)(300, 420, 335, 455)(301, 421, 337, 457)(304, 424, 327, 447)(307, 427, 341, 461)(308, 428, 342, 462)(310, 430, 345, 465)(311, 431, 334, 454)(314, 434, 324, 444)(316, 436, 347, 467)(317, 437, 348, 468)(320, 440, 339, 459)(321, 441, 350, 470)(325, 445, 353, 473)(326, 446, 351, 471)(330, 450, 336, 456)(331, 451, 338, 458)(332, 452, 352, 472)(340, 460, 358, 478)(343, 463, 356, 476)(344, 464, 359, 479)(346, 466, 349, 469)(354, 474, 360, 480)(355, 475, 357, 477)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 256)(7, 258)(8, 242)(9, 262)(10, 243)(11, 263)(12, 245)(13, 267)(14, 266)(15, 272)(16, 246)(17, 276)(18, 247)(19, 277)(20, 281)(21, 283)(22, 249)(23, 251)(24, 286)(25, 285)(26, 254)(27, 253)(28, 292)(29, 291)(30, 290)(31, 300)(32, 255)(33, 301)(34, 304)(35, 306)(36, 257)(37, 259)(38, 309)(39, 308)(40, 313)(41, 260)(42, 316)(43, 261)(44, 317)(45, 265)(46, 264)(47, 321)(48, 320)(49, 319)(50, 270)(51, 269)(52, 268)(53, 330)(54, 329)(55, 328)(56, 327)(57, 326)(58, 325)(59, 335)(60, 271)(61, 273)(62, 337)(63, 336)(64, 274)(65, 339)(66, 275)(67, 340)(68, 279)(69, 278)(70, 344)(71, 343)(72, 342)(73, 280)(74, 346)(75, 347)(76, 282)(77, 284)(78, 348)(79, 289)(80, 288)(81, 287)(82, 351)(83, 350)(84, 349)(85, 298)(86, 297)(87, 296)(88, 295)(89, 294)(90, 293)(91, 355)(92, 354)(93, 353)(94, 356)(95, 299)(96, 303)(97, 302)(98, 357)(99, 305)(100, 307)(101, 358)(102, 312)(103, 311)(104, 310)(105, 359)(106, 314)(107, 315)(108, 318)(109, 324)(110, 323)(111, 322)(112, 360)(113, 333)(114, 332)(115, 331)(116, 334)(117, 338)(118, 341)(119, 345)(120, 352)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4^4 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E19.1990
Graph:: simple bipartite
	v = 84 e = 240 f = 120
	degree seq :: [ 4^60, 10^24 ]

E19.2000 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^5, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 14, 134, 5, 125)(3, 123, 9, 129, 20, 140, 24, 144, 11, 131)(4, 124, 12, 132, 25, 145, 16, 136, 8, 128)(7, 127, 17, 137, 32, 152, 35, 155, 19, 139)(10, 130, 23, 143, 40, 160, 37, 157, 22, 142)(13, 133, 27, 147, 44, 164, 39, 159, 21, 141)(15, 135, 29, 149, 47, 167, 50, 170, 31, 151)(18, 138, 34, 154, 53, 173, 52, 172, 33, 153)(26, 146, 38, 158, 58, 178, 63, 183, 43, 163)(28, 148, 46, 166, 66, 186, 65, 185, 45, 165)(30, 150, 49, 169, 69, 189, 68, 188, 48, 168)(36, 156, 55, 175, 75, 195, 78, 198, 57, 177)(41, 161, 60, 180, 80, 200, 72, 192, 51, 171)(42, 162, 61, 181, 81, 201, 82, 202, 62, 182)(54, 174, 74, 194, 93, 213, 88, 208, 67, 187)(56, 176, 77, 197, 95, 215, 94, 214, 76, 196)(59, 179, 71, 191, 91, 211, 97, 217, 79, 199)(64, 184, 84, 204, 102, 222, 103, 223, 85, 205)(70, 190, 90, 210, 107, 227, 104, 224, 86, 206)(73, 193, 87, 207, 105, 225, 108, 228, 92, 212)(83, 203, 101, 221, 115, 235, 113, 233, 99, 219)(89, 209, 100, 220, 114, 234, 116, 236, 106, 226)(96, 216, 111, 231, 117, 237, 109, 229, 98, 218)(110, 230, 112, 232, 118, 238, 120, 240, 119, 239)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 255, 375)(248, 368, 258, 378)(249, 369, 261, 381)(251, 371, 257, 377)(252, 372, 266, 386)(254, 374, 268, 388)(256, 376, 270, 390)(259, 379, 269, 389)(260, 380, 276, 396)(262, 382, 278, 398)(263, 383, 273, 393)(264, 384, 281, 401)(265, 385, 282, 402)(267, 387, 285, 405)(271, 391, 286, 406)(272, 392, 291, 411)(274, 394, 288, 408)(275, 395, 294, 414)(277, 397, 296, 416)(279, 399, 295, 415)(280, 400, 299, 419)(283, 403, 301, 421)(284, 404, 304, 424)(287, 407, 307, 427)(289, 409, 302, 422)(290, 410, 310, 430)(292, 412, 311, 431)(293, 413, 313, 433)(297, 417, 300, 420)(298, 418, 316, 436)(303, 423, 323, 443)(305, 425, 324, 444)(306, 426, 326, 446)(308, 428, 327, 447)(309, 429, 329, 449)(312, 432, 314, 434)(315, 435, 325, 445)(317, 437, 319, 439)(318, 438, 336, 456)(320, 440, 338, 458)(321, 441, 339, 459)(322, 442, 340, 460)(328, 448, 330, 450)(331, 451, 332, 452)(333, 453, 349, 469)(334, 454, 341, 461)(335, 455, 350, 470)(337, 457, 352, 472)(342, 462, 344, 464)(343, 463, 351, 471)(345, 465, 346, 466)(347, 467, 357, 477)(348, 468, 358, 478)(353, 473, 354, 474)(355, 475, 359, 479)(356, 476, 360, 480)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 256)(7, 258)(8, 242)(9, 262)(10, 243)(11, 263)(12, 245)(13, 266)(14, 265)(15, 270)(16, 246)(17, 273)(18, 247)(19, 274)(20, 277)(21, 278)(22, 249)(23, 251)(24, 280)(25, 254)(26, 253)(27, 283)(28, 282)(29, 288)(30, 255)(31, 289)(32, 292)(33, 257)(34, 259)(35, 293)(36, 296)(37, 260)(38, 261)(39, 298)(40, 264)(41, 299)(42, 268)(43, 267)(44, 303)(45, 301)(46, 302)(47, 308)(48, 269)(49, 271)(50, 309)(51, 311)(52, 272)(53, 275)(54, 313)(55, 316)(56, 276)(57, 317)(58, 279)(59, 281)(60, 319)(61, 285)(62, 286)(63, 284)(64, 323)(65, 321)(66, 322)(67, 327)(68, 287)(69, 290)(70, 329)(71, 291)(72, 331)(73, 294)(74, 332)(75, 334)(76, 295)(77, 297)(78, 335)(79, 300)(80, 337)(81, 305)(82, 306)(83, 304)(84, 339)(85, 341)(86, 340)(87, 307)(88, 345)(89, 310)(90, 346)(91, 312)(92, 314)(93, 348)(94, 315)(95, 318)(96, 350)(97, 320)(98, 352)(99, 324)(100, 326)(101, 325)(102, 353)(103, 355)(104, 354)(105, 328)(106, 330)(107, 356)(108, 333)(109, 358)(110, 336)(111, 359)(112, 338)(113, 342)(114, 344)(115, 343)(116, 347)(117, 360)(118, 349)(119, 351)(120, 357)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4^4 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E19.1989
Graph:: simple bipartite
	v = 84 e = 240 f = 120
	degree seq :: [ 4^60, 10^24 ]

E19.2001 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 5})
Quotient :: edge
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^5, (T1 * T2^-2)^2, (T1 * T2^-2)^2, (T2^-1, T1^-1)^2, (T2^-1 * T1^-1)^4, (T1^-2 * T2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 16, 5)(2, 7, 20, 24, 8)(4, 12, 32, 36, 13)(6, 17, 43, 47, 18)(9, 26, 62, 41, 27)(11, 29, 14, 38, 30)(15, 39, 28, 65, 40)(19, 49, 94, 58, 50)(21, 52, 22, 55, 53)(23, 56, 51, 66, 57)(25, 59, 81, 103, 60)(31, 71, 67, 78, 68)(33, 73, 34, 76, 74)(35, 77, 72, 105, 61)(37, 79, 107, 69, 80)(42, 84, 111, 92, 85)(44, 87, 45, 89, 88)(46, 90, 86, 97, 91)(48, 75, 100, 117, 93)(54, 99, 108, 98, 70)(63, 83, 64, 106, 82)(95, 102, 96, 118, 101)(104, 109, 119, 112, 110)(113, 116, 114, 120, 115)(121, 122, 126, 124)(123, 129, 145, 131)(125, 134, 157, 135)(127, 139, 168, 141)(128, 142, 174, 143)(130, 148, 178, 144)(132, 151, 190, 153)(133, 154, 195, 155)(136, 152, 192, 161)(137, 162, 200, 164)(138, 165, 179, 166)(140, 171, 212, 167)(146, 181, 224, 183)(147, 184, 218, 173)(149, 186, 228, 187)(150, 188, 229, 189)(156, 163, 206, 198)(158, 201, 221, 176)(159, 196, 219, 202)(160, 203, 215, 169)(170, 216, 180, 208)(172, 217, 223, 182)(175, 220, 235, 210)(177, 222, 233, 204)(185, 227, 231, 193)(191, 211, 236, 230)(194, 205, 234, 213)(197, 209, 199, 232)(207, 225, 237, 214)(226, 239, 240, 238)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8^4 ), ( 8^5 ) }
Outer automorphisms :: reflexible
Dual of E19.2002
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 120 f = 30
	degree seq :: [ 4^30, 5^24 ]

E19.2002 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 5})
Quotient :: loop
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, T2^4, T1^4, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, (T2^-1, T1^-1)^2, T2^-2 * T1^2 * T2^-1 * T1^-2 * T2^-2 * T1^-1, T2 * T1 * T2^2 * T1 * T2^-1 * T1^-2 * T2^-1 * T1^-1, T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-2 * T2 * T1^-2, (T2^-1 * T1^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123, 10, 130, 5, 125)(2, 122, 7, 127, 19, 139, 8, 128)(4, 124, 12, 132, 30, 150, 13, 133)(6, 126, 16, 136, 39, 159, 17, 137)(9, 129, 24, 144, 56, 176, 25, 145)(11, 131, 21, 141, 50, 170, 28, 148)(14, 134, 35, 155, 69, 189, 31, 151)(15, 135, 36, 156, 77, 197, 37, 157)(18, 138, 44, 164, 93, 213, 45, 165)(20, 140, 41, 161, 87, 207, 48, 168)(22, 142, 51, 171, 104, 224, 52, 172)(23, 143, 53, 173, 84, 204, 54, 174)(26, 146, 60, 180, 86, 206, 61, 181)(27, 147, 58, 178, 80, 200, 62, 182)(29, 149, 66, 186, 107, 227, 63, 183)(32, 152, 71, 191, 85, 205, 40, 160)(33, 153, 72, 192, 111, 231, 73, 193)(34, 154, 74, 194, 83, 203, 75, 195)(38, 158, 81, 201, 113, 233, 82, 202)(42, 162, 88, 208, 117, 237, 89, 209)(43, 163, 90, 210, 68, 188, 91, 211)(46, 166, 97, 217, 70, 190, 98, 218)(47, 167, 95, 215, 65, 185, 99, 219)(49, 169, 101, 221, 67, 187, 102, 222)(55, 175, 92, 212, 79, 199, 106, 226)(57, 177, 108, 228, 119, 239, 109, 229)(59, 179, 110, 230, 114, 234, 96, 216)(64, 184, 112, 232, 76, 196, 94, 214)(78, 198, 100, 220, 118, 238, 103, 223)(105, 225, 115, 235, 120, 240, 116, 236)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 134)(6, 124)(7, 138)(8, 141)(9, 143)(10, 146)(11, 123)(12, 149)(13, 152)(14, 154)(15, 125)(16, 158)(17, 161)(18, 163)(19, 166)(20, 127)(21, 169)(22, 128)(23, 131)(24, 175)(25, 178)(26, 179)(27, 130)(28, 183)(29, 185)(30, 187)(31, 132)(32, 190)(33, 133)(34, 135)(35, 196)(36, 191)(37, 198)(38, 200)(39, 203)(40, 136)(41, 206)(42, 137)(43, 140)(44, 212)(45, 215)(46, 216)(47, 139)(48, 145)(49, 142)(50, 223)(51, 155)(52, 225)(53, 217)(54, 228)(55, 209)(56, 210)(57, 144)(58, 220)(59, 147)(60, 231)(61, 156)(62, 222)(63, 211)(64, 148)(65, 151)(66, 226)(67, 230)(68, 150)(69, 202)(70, 153)(71, 229)(72, 207)(73, 214)(74, 208)(75, 224)(76, 218)(77, 227)(78, 201)(79, 157)(80, 160)(81, 199)(82, 174)(83, 234)(84, 159)(85, 165)(86, 162)(87, 236)(88, 170)(89, 177)(90, 195)(91, 184)(92, 193)(93, 182)(94, 164)(95, 235)(96, 167)(97, 197)(98, 171)(99, 180)(100, 168)(101, 192)(102, 237)(103, 194)(104, 176)(105, 186)(106, 172)(107, 173)(108, 189)(109, 181)(110, 188)(111, 233)(112, 239)(113, 219)(114, 204)(115, 205)(116, 221)(117, 213)(118, 232)(119, 240)(120, 238)
	local type(s) :: { ( 4, 5, 4, 5, 4, 5, 4, 5 ) }
Outer automorphisms :: reflexible
Dual of E19.2001
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 30 e = 120 f = 54
	degree seq :: [ 8^30 ]

E19.2003 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^5, (Y1 * Y2^-2)^2, (Y1 * Y2^-2)^2, (Y2^-1, Y1^-1)^2, (Y3^-1 * Y1^-1)^4, (Y2^-1 * Y1^-1)^4, Y1^-2 * Y2 * Y1^2 * Y2 * Y1^-2 * Y2 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 4, 124)(3, 123, 9, 129, 25, 145, 11, 131)(5, 125, 14, 134, 37, 157, 15, 135)(7, 127, 19, 139, 48, 168, 21, 141)(8, 128, 22, 142, 54, 174, 23, 143)(10, 130, 28, 148, 58, 178, 24, 144)(12, 132, 31, 151, 70, 190, 33, 153)(13, 133, 34, 154, 75, 195, 35, 155)(16, 136, 32, 152, 72, 192, 41, 161)(17, 137, 42, 162, 80, 200, 44, 164)(18, 138, 45, 165, 59, 179, 46, 166)(20, 140, 51, 171, 92, 212, 47, 167)(26, 146, 61, 181, 104, 224, 63, 183)(27, 147, 64, 184, 98, 218, 53, 173)(29, 149, 66, 186, 108, 228, 67, 187)(30, 150, 68, 188, 109, 229, 69, 189)(36, 156, 43, 163, 86, 206, 78, 198)(38, 158, 81, 201, 101, 221, 56, 176)(39, 159, 76, 196, 99, 219, 82, 202)(40, 160, 83, 203, 95, 215, 49, 169)(50, 170, 96, 216, 60, 180, 88, 208)(52, 172, 97, 217, 103, 223, 62, 182)(55, 175, 100, 220, 115, 235, 90, 210)(57, 177, 102, 222, 113, 233, 84, 204)(65, 185, 107, 227, 111, 231, 73, 193)(71, 191, 91, 211, 116, 236, 110, 230)(74, 194, 85, 205, 114, 234, 93, 213)(77, 197, 89, 209, 79, 199, 112, 232)(87, 207, 105, 225, 117, 237, 94, 214)(106, 226, 119, 239, 120, 240, 118, 238)(241, 361, 243, 363, 250, 370, 256, 376, 245, 365)(242, 362, 247, 367, 260, 380, 264, 384, 248, 368)(244, 364, 252, 372, 272, 392, 276, 396, 253, 373)(246, 366, 257, 377, 283, 403, 287, 407, 258, 378)(249, 369, 266, 386, 302, 422, 281, 401, 267, 387)(251, 371, 269, 389, 254, 374, 278, 398, 270, 390)(255, 375, 279, 399, 268, 388, 305, 425, 280, 400)(259, 379, 289, 409, 334, 454, 298, 418, 290, 410)(261, 381, 292, 412, 262, 382, 295, 415, 293, 413)(263, 383, 296, 416, 291, 411, 306, 426, 297, 417)(265, 385, 299, 419, 321, 441, 343, 463, 300, 420)(271, 391, 311, 431, 307, 427, 318, 438, 308, 428)(273, 393, 313, 433, 274, 394, 316, 436, 314, 434)(275, 395, 317, 437, 312, 432, 345, 465, 301, 421)(277, 397, 319, 439, 347, 467, 309, 429, 320, 440)(282, 402, 324, 444, 351, 471, 332, 452, 325, 445)(284, 404, 327, 447, 285, 405, 329, 449, 328, 448)(286, 406, 330, 450, 326, 446, 337, 457, 331, 451)(288, 408, 315, 435, 340, 460, 357, 477, 333, 453)(294, 414, 339, 459, 348, 468, 338, 458, 310, 430)(303, 423, 323, 443, 304, 424, 346, 466, 322, 442)(335, 455, 342, 462, 336, 456, 358, 478, 341, 461)(344, 464, 349, 469, 359, 479, 352, 472, 350, 470)(353, 473, 356, 476, 354, 474, 360, 480, 355, 475)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 257)(7, 260)(8, 242)(9, 266)(10, 256)(11, 269)(12, 272)(13, 244)(14, 278)(15, 279)(16, 245)(17, 283)(18, 246)(19, 289)(20, 264)(21, 292)(22, 295)(23, 296)(24, 248)(25, 299)(26, 302)(27, 249)(28, 305)(29, 254)(30, 251)(31, 311)(32, 276)(33, 313)(34, 316)(35, 317)(36, 253)(37, 319)(38, 270)(39, 268)(40, 255)(41, 267)(42, 324)(43, 287)(44, 327)(45, 329)(46, 330)(47, 258)(48, 315)(49, 334)(50, 259)(51, 306)(52, 262)(53, 261)(54, 339)(55, 293)(56, 291)(57, 263)(58, 290)(59, 321)(60, 265)(61, 275)(62, 281)(63, 323)(64, 346)(65, 280)(66, 297)(67, 318)(68, 271)(69, 320)(70, 294)(71, 307)(72, 345)(73, 274)(74, 273)(75, 340)(76, 314)(77, 312)(78, 308)(79, 347)(80, 277)(81, 343)(82, 303)(83, 304)(84, 351)(85, 282)(86, 337)(87, 285)(88, 284)(89, 328)(90, 326)(91, 286)(92, 325)(93, 288)(94, 298)(95, 342)(96, 358)(97, 331)(98, 310)(99, 348)(100, 357)(101, 335)(102, 336)(103, 300)(104, 349)(105, 301)(106, 322)(107, 309)(108, 338)(109, 359)(110, 344)(111, 332)(112, 350)(113, 356)(114, 360)(115, 353)(116, 354)(117, 333)(118, 341)(119, 352)(120, 355)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2004
Graph:: bipartite
	v = 54 e = 240 f = 150
	degree seq :: [ 8^30, 10^24 ]

E19.2004 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3^5, (Y3^-1 * Y2^-1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-2)^2, (Y3, Y2)^2, (Y3 * Y2^-1)^4, (Y2^-2 * Y3^-1)^3, (Y3^-1 * Y1^-1)^5 ]
Map:: polytopal
	R = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(241, 361, 242, 362, 246, 366, 244, 364)(243, 363, 249, 369, 265, 385, 251, 371)(245, 365, 254, 374, 277, 397, 255, 375)(247, 367, 259, 379, 288, 408, 261, 381)(248, 368, 262, 382, 294, 414, 263, 383)(250, 370, 268, 388, 304, 424, 269, 389)(252, 372, 272, 392, 310, 430, 274, 394)(253, 373, 275, 395, 315, 435, 276, 396)(256, 376, 281, 401, 291, 411, 260, 380)(257, 377, 282, 402, 320, 440, 284, 404)(258, 378, 285, 405, 299, 419, 286, 406)(264, 384, 298, 418, 326, 446, 283, 403)(266, 386, 301, 421, 345, 465, 302, 422)(267, 387, 303, 423, 338, 458, 293, 413)(270, 390, 306, 426, 341, 461, 296, 416)(271, 391, 308, 428, 333, 453, 309, 429)(273, 393, 287, 407, 332, 452, 312, 432)(278, 398, 321, 441, 342, 462, 297, 417)(279, 399, 313, 433, 350, 470, 322, 442)(280, 400, 316, 436, 351, 471, 323, 443)(289, 409, 334, 454, 346, 466, 305, 425)(290, 410, 335, 455, 354, 474, 328, 448)(292, 412, 337, 457, 356, 476, 330, 450)(295, 415, 340, 460, 319, 439, 331, 451)(300, 420, 343, 463, 314, 434, 325, 445)(307, 427, 344, 464, 349, 469, 311, 431)(317, 437, 327, 447, 353, 473, 352, 472)(318, 438, 329, 449, 355, 475, 339, 459)(324, 444, 347, 467, 357, 477, 336, 456)(348, 468, 359, 479, 360, 480, 358, 478)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 257)(7, 260)(8, 242)(9, 266)(10, 256)(11, 270)(12, 273)(13, 244)(14, 278)(15, 280)(16, 245)(17, 283)(18, 246)(19, 289)(20, 264)(21, 292)(22, 295)(23, 297)(24, 248)(25, 299)(26, 255)(27, 249)(28, 253)(29, 305)(30, 307)(31, 251)(32, 311)(33, 268)(34, 313)(35, 316)(36, 318)(37, 319)(38, 269)(39, 254)(40, 267)(41, 271)(42, 324)(43, 287)(44, 327)(45, 329)(46, 331)(47, 258)(48, 315)(49, 263)(50, 259)(51, 336)(52, 301)(53, 261)(54, 339)(55, 291)(56, 262)(57, 290)(58, 293)(59, 323)(60, 265)(61, 298)(62, 317)(63, 320)(64, 314)(65, 279)(66, 322)(67, 281)(68, 272)(69, 348)(70, 294)(71, 276)(72, 302)(73, 347)(74, 274)(75, 342)(76, 312)(77, 275)(78, 308)(79, 346)(80, 277)(81, 306)(82, 309)(83, 344)(84, 286)(85, 282)(86, 349)(87, 334)(88, 284)(89, 326)(90, 285)(91, 325)(92, 328)(93, 288)(94, 332)(95, 310)(96, 296)(97, 341)(98, 358)(99, 357)(100, 337)(101, 338)(102, 345)(103, 359)(104, 300)(105, 333)(106, 303)(107, 304)(108, 321)(109, 330)(110, 352)(111, 350)(112, 343)(113, 356)(114, 360)(115, 353)(116, 354)(117, 335)(118, 340)(119, 351)(120, 355)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.2003
Graph:: simple bipartite
	v = 150 e = 240 f = 54
	degree seq :: [ 2^120, 8^30 ]

E19.2005 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 5, 6})
Quotient :: edge
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^5, T1 * T2 * T1 * T2^-2 * T1^-1 * T2^-2, T1 * T2 * T1 * T2^-2 * T1^-1 * T2^-2, T2^-1 * T1 * T2 * T1 * T2^-2 * T1^-1 * T2^-1, T1^-1 * T2^-2 * T1 * T2 * T1 * T2^-2, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2 * T1^-1, (T2 * T1^-1)^5, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 15, 5)(2, 6, 17, 21, 7)(4, 11, 29, 33, 12)(8, 22, 53, 57, 23)(10, 26, 62, 66, 27)(13, 34, 77, 81, 35)(14, 36, 51, 65, 37)(16, 40, 58, 24, 41)(18, 44, 92, 83, 45)(19, 46, 96, 84, 47)(20, 48, 76, 95, 49)(25, 59, 106, 85, 60)(28, 67, 90, 42, 68)(30, 70, 54, 101, 71)(31, 72, 55, 102, 73)(32, 74, 39, 87, 75)(38, 43, 52, 104, 86)(50, 69, 88, 118, 103)(56, 105, 110, 113, 79)(61, 107, 116, 78, 108)(63, 98, 89, 117, 82)(64, 109, 97, 80, 91)(93, 115, 111, 120, 100)(94, 119, 114, 99, 112)(121, 122, 124)(123, 128, 130)(125, 133, 134)(126, 136, 138)(127, 139, 140)(129, 144, 145)(131, 148, 150)(132, 151, 152)(135, 158, 159)(137, 162, 163)(141, 170, 171)(142, 172, 174)(143, 175, 176)(146, 181, 183)(147, 184, 185)(149, 177, 189)(153, 180, 196)(154, 173, 198)(155, 199, 200)(156, 202, 203)(157, 204, 205)(160, 208, 182)(161, 197, 209)(164, 211, 213)(165, 214, 215)(166, 178, 217)(167, 218, 219)(168, 220, 221)(169, 222, 206)(179, 212, 187)(186, 194, 230)(188, 216, 231)(190, 232, 233)(191, 227, 207)(192, 210, 234)(193, 235, 228)(195, 201, 223)(224, 238, 226)(225, 240, 237)(229, 236, 239)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12^3 ), ( 12^5 ) }
Outer automorphisms :: reflexible
Dual of E19.2009
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 120 f = 20
	degree seq :: [ 3^40, 5^24 ]

E19.2006 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 5, 6})
Quotient :: edge
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^5, T1^5, (T1 * T2)^3, T2^6, T2 * T1^-2 * T2^-2 * T1^-2, T2 * T1^-1 * T2^3 * T1 * T2^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 17, 5)(2, 7, 21, 55, 25, 8)(4, 12, 36, 74, 41, 14)(6, 18, 33, 79, 52, 19)(9, 27, 67, 47, 71, 28)(11, 32, 77, 48, 81, 34)(13, 38, 58, 88, 42, 39)(15, 43, 73, 29, 72, 44)(16, 45, 64, 31, 54, 20)(22, 57, 98, 65, 91, 59)(23, 60, 85, 37, 84, 61)(24, 62, 68, 56, 95, 49)(26, 66, 75, 51, 94, 46)(35, 82, 104, 63, 53, 83)(40, 86, 76, 50, 96, 87)(69, 101, 110, 78, 103, 107)(70, 108, 109, 106, 115, 89)(80, 111, 97, 105, 117, 92)(90, 116, 113, 93, 118, 100)(99, 119, 114, 112, 120, 102)(121, 122, 126, 133, 124)(123, 129, 146, 153, 131)(125, 135, 162, 166, 136)(127, 140, 173, 178, 142)(128, 143, 161, 183, 144)(130, 149, 158, 195, 151)(132, 155, 176, 141, 157)(134, 160, 172, 188, 147)(137, 167, 171, 139, 168)(138, 169, 191, 156, 170)(145, 184, 202, 159, 185)(148, 189, 201, 207, 190)(150, 175, 199, 208, 194)(152, 196, 226, 187, 198)(154, 200, 214, 229, 192)(163, 197, 225, 186, 209)(164, 210, 174, 217, 211)(165, 212, 177, 193, 213)(179, 219, 224, 233, 204)(180, 218, 232, 203, 220)(181, 221, 215, 234, 206)(182, 222, 216, 205, 223)(227, 238, 235, 239, 231)(228, 240, 237, 230, 236)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 6^5 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2010
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 120 f = 40
	degree seq :: [ 5^24, 6^20 ]

E19.2007 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 5, 6})
Quotient :: edge
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^6, T2 * T1^-3 * T2^-1 * T1^-3, T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2, T1 * T2^-1 * T1^-2 * T2 * T1 * T2^-1 * T1 * T2, (T2 * T1^-1)^5, (T2^-1 * T1^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 26, 28)(12, 31, 32)(14, 36, 37)(15, 38, 40)(16, 41, 42)(19, 48, 49)(20, 50, 52)(21, 54, 55)(22, 56, 58)(23, 59, 60)(27, 67, 68)(29, 71, 72)(30, 73, 74)(33, 75, 76)(34, 77, 78)(35, 79, 80)(39, 87, 88)(43, 89, 91)(44, 92, 63)(45, 93, 65)(46, 81, 94)(47, 84, 95)(51, 97, 70)(53, 99, 62)(57, 86, 102)(61, 105, 106)(64, 109, 110)(66, 100, 111)(69, 112, 113)(82, 108, 117)(83, 103, 115)(85, 104, 118)(90, 107, 96)(98, 119, 116)(101, 114, 120)(121, 122, 126, 136, 132, 124)(123, 129, 143, 161, 147, 130)(125, 134, 155, 162, 159, 135)(127, 139, 167, 151, 171, 140)(128, 141, 173, 152, 177, 142)(131, 149, 164, 137, 163, 150)(133, 153, 166, 138, 165, 154)(144, 181, 178, 187, 227, 182)(145, 183, 228, 188, 194, 184)(146, 185, 223, 179, 196, 186)(148, 189, 169, 180, 224, 190)(156, 201, 230, 207, 197, 202)(157, 203, 170, 208, 231, 204)(158, 205, 174, 199, 233, 206)(160, 209, 226, 200, 191, 210)(168, 216, 214, 217, 225, 198)(172, 218, 211, 215, 234, 192)(175, 220, 212, 222, 235, 193)(176, 221, 213, 219, 236, 195)(229, 240, 238, 237, 239, 232)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10^3 ), ( 10^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2008
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 120 f = 24
	degree seq :: [ 3^40, 6^20 ]

E19.2008 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 5, 6})
Quotient :: loop
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^5, T1 * T2 * T1 * T2^-2 * T1^-1 * T2^-2, T1 * T2 * T1 * T2^-2 * T1^-1 * T2^-2, T2^-1 * T1 * T2 * T1 * T2^-2 * T1^-1 * T2^-1, T1^-1 * T2^-2 * T1 * T2 * T1 * T2^-2, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2 * T1^-1, (T2 * T1^-1)^5, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123, 9, 129, 15, 135, 5, 125)(2, 122, 6, 126, 17, 137, 21, 141, 7, 127)(4, 124, 11, 131, 29, 149, 33, 153, 12, 132)(8, 128, 22, 142, 53, 173, 57, 177, 23, 143)(10, 130, 26, 146, 62, 182, 66, 186, 27, 147)(13, 133, 34, 154, 77, 197, 81, 201, 35, 155)(14, 134, 36, 156, 51, 171, 65, 185, 37, 157)(16, 136, 40, 160, 58, 178, 24, 144, 41, 161)(18, 138, 44, 164, 92, 212, 83, 203, 45, 165)(19, 139, 46, 166, 96, 216, 84, 204, 47, 167)(20, 140, 48, 168, 76, 196, 95, 215, 49, 169)(25, 145, 59, 179, 106, 226, 85, 205, 60, 180)(28, 148, 67, 187, 90, 210, 42, 162, 68, 188)(30, 150, 70, 190, 54, 174, 101, 221, 71, 191)(31, 151, 72, 192, 55, 175, 102, 222, 73, 193)(32, 152, 74, 194, 39, 159, 87, 207, 75, 195)(38, 158, 43, 163, 52, 172, 104, 224, 86, 206)(50, 170, 69, 189, 88, 208, 118, 238, 103, 223)(56, 176, 105, 225, 110, 230, 113, 233, 79, 199)(61, 181, 107, 227, 116, 236, 78, 198, 108, 228)(63, 183, 98, 218, 89, 209, 117, 237, 82, 202)(64, 184, 109, 229, 97, 217, 80, 200, 91, 211)(93, 213, 115, 235, 111, 231, 120, 240, 100, 220)(94, 214, 119, 239, 114, 234, 99, 219, 112, 232)
	L = (1, 122)(2, 124)(3, 128)(4, 121)(5, 133)(6, 136)(7, 139)(8, 130)(9, 144)(10, 123)(11, 148)(12, 151)(13, 134)(14, 125)(15, 158)(16, 138)(17, 162)(18, 126)(19, 140)(20, 127)(21, 170)(22, 172)(23, 175)(24, 145)(25, 129)(26, 181)(27, 184)(28, 150)(29, 177)(30, 131)(31, 152)(32, 132)(33, 180)(34, 173)(35, 199)(36, 202)(37, 204)(38, 159)(39, 135)(40, 208)(41, 197)(42, 163)(43, 137)(44, 211)(45, 214)(46, 178)(47, 218)(48, 220)(49, 222)(50, 171)(51, 141)(52, 174)(53, 198)(54, 142)(55, 176)(56, 143)(57, 189)(58, 217)(59, 212)(60, 196)(61, 183)(62, 160)(63, 146)(64, 185)(65, 147)(66, 194)(67, 179)(68, 216)(69, 149)(70, 232)(71, 227)(72, 210)(73, 235)(74, 230)(75, 201)(76, 153)(77, 209)(78, 154)(79, 200)(80, 155)(81, 223)(82, 203)(83, 156)(84, 205)(85, 157)(86, 169)(87, 191)(88, 182)(89, 161)(90, 234)(91, 213)(92, 187)(93, 164)(94, 215)(95, 165)(96, 231)(97, 166)(98, 219)(99, 167)(100, 221)(101, 168)(102, 206)(103, 195)(104, 238)(105, 240)(106, 224)(107, 207)(108, 193)(109, 236)(110, 186)(111, 188)(112, 233)(113, 190)(114, 192)(115, 228)(116, 239)(117, 225)(118, 226)(119, 229)(120, 237)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2007
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 24 e = 120 f = 60
	degree seq :: [ 10^24 ]

E19.2009 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 5, 6})
Quotient :: loop
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^5, T1^5, (T1 * T2)^3, T2^6, T2 * T1^-2 * T2^-2 * T1^-2, T2 * T1^-1 * T2^3 * T1 * T2^2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123, 10, 130, 30, 150, 17, 137, 5, 125)(2, 122, 7, 127, 21, 141, 55, 175, 25, 145, 8, 128)(4, 124, 12, 132, 36, 156, 74, 194, 41, 161, 14, 134)(6, 126, 18, 138, 33, 153, 79, 199, 52, 172, 19, 139)(9, 129, 27, 147, 67, 187, 47, 167, 71, 191, 28, 148)(11, 131, 32, 152, 77, 197, 48, 168, 81, 201, 34, 154)(13, 133, 38, 158, 58, 178, 88, 208, 42, 162, 39, 159)(15, 135, 43, 163, 73, 193, 29, 149, 72, 192, 44, 164)(16, 136, 45, 165, 64, 184, 31, 151, 54, 174, 20, 140)(22, 142, 57, 177, 98, 218, 65, 185, 91, 211, 59, 179)(23, 143, 60, 180, 85, 205, 37, 157, 84, 204, 61, 181)(24, 144, 62, 182, 68, 188, 56, 176, 95, 215, 49, 169)(26, 146, 66, 186, 75, 195, 51, 171, 94, 214, 46, 166)(35, 155, 82, 202, 104, 224, 63, 183, 53, 173, 83, 203)(40, 160, 86, 206, 76, 196, 50, 170, 96, 216, 87, 207)(69, 189, 101, 221, 110, 230, 78, 198, 103, 223, 107, 227)(70, 190, 108, 228, 109, 229, 106, 226, 115, 235, 89, 209)(80, 200, 111, 231, 97, 217, 105, 225, 117, 237, 92, 212)(90, 210, 116, 236, 113, 233, 93, 213, 118, 238, 100, 220)(99, 219, 119, 239, 114, 234, 112, 232, 120, 240, 102, 222)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 135)(6, 133)(7, 140)(8, 143)(9, 146)(10, 149)(11, 123)(12, 155)(13, 124)(14, 160)(15, 162)(16, 125)(17, 167)(18, 169)(19, 168)(20, 173)(21, 157)(22, 127)(23, 161)(24, 128)(25, 184)(26, 153)(27, 134)(28, 189)(29, 158)(30, 175)(31, 130)(32, 196)(33, 131)(34, 200)(35, 176)(36, 170)(37, 132)(38, 195)(39, 185)(40, 172)(41, 183)(42, 166)(43, 197)(44, 210)(45, 212)(46, 136)(47, 171)(48, 137)(49, 191)(50, 138)(51, 139)(52, 188)(53, 178)(54, 217)(55, 199)(56, 141)(57, 193)(58, 142)(59, 219)(60, 218)(61, 221)(62, 222)(63, 144)(64, 202)(65, 145)(66, 209)(67, 198)(68, 147)(69, 201)(70, 148)(71, 156)(72, 154)(73, 213)(74, 150)(75, 151)(76, 226)(77, 225)(78, 152)(79, 208)(80, 214)(81, 207)(82, 159)(83, 220)(84, 179)(85, 223)(86, 181)(87, 190)(88, 194)(89, 163)(90, 174)(91, 164)(92, 177)(93, 165)(94, 229)(95, 234)(96, 205)(97, 211)(98, 232)(99, 224)(100, 180)(101, 215)(102, 216)(103, 182)(104, 233)(105, 186)(106, 187)(107, 238)(108, 240)(109, 192)(110, 236)(111, 227)(112, 203)(113, 204)(114, 206)(115, 239)(116, 228)(117, 230)(118, 235)(119, 231)(120, 237)
	local type(s) :: { ( 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5 ) }
Outer automorphisms :: reflexible
Dual of E19.2005
Transitivity :: ET+ VT+ AT
Graph::
	v = 20 e = 120 f = 64
	degree seq :: [ 12^20 ]

E19.2010 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 5, 6})
Quotient :: loop
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^6, T2 * T1^-3 * T2^-1 * T1^-3, T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2, T1 * T2^-1 * T1^-2 * T2 * T1 * T2^-1 * T1 * T2, (T2 * T1^-1)^5, (T2^-1 * T1^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123, 5, 125)(2, 122, 7, 127, 8, 128)(4, 124, 11, 131, 13, 133)(6, 126, 17, 137, 18, 138)(9, 129, 24, 144, 25, 145)(10, 130, 26, 146, 28, 148)(12, 132, 31, 151, 32, 152)(14, 134, 36, 156, 37, 157)(15, 135, 38, 158, 40, 160)(16, 136, 41, 161, 42, 162)(19, 139, 48, 168, 49, 169)(20, 140, 50, 170, 52, 172)(21, 141, 54, 174, 55, 175)(22, 142, 56, 176, 58, 178)(23, 143, 59, 179, 60, 180)(27, 147, 67, 187, 68, 188)(29, 149, 71, 191, 72, 192)(30, 150, 73, 193, 74, 194)(33, 153, 75, 195, 76, 196)(34, 154, 77, 197, 78, 198)(35, 155, 79, 199, 80, 200)(39, 159, 87, 207, 88, 208)(43, 163, 89, 209, 91, 211)(44, 164, 92, 212, 63, 183)(45, 165, 93, 213, 65, 185)(46, 166, 81, 201, 94, 214)(47, 167, 84, 204, 95, 215)(51, 171, 97, 217, 70, 190)(53, 173, 99, 219, 62, 182)(57, 177, 86, 206, 102, 222)(61, 181, 105, 225, 106, 226)(64, 184, 109, 229, 110, 230)(66, 186, 100, 220, 111, 231)(69, 189, 112, 232, 113, 233)(82, 202, 108, 228, 117, 237)(83, 203, 103, 223, 115, 235)(85, 205, 104, 224, 118, 238)(90, 210, 107, 227, 96, 216)(98, 218, 119, 239, 116, 236)(101, 221, 114, 234, 120, 240)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 134)(6, 136)(7, 139)(8, 141)(9, 143)(10, 123)(11, 149)(12, 124)(13, 153)(14, 155)(15, 125)(16, 132)(17, 163)(18, 165)(19, 167)(20, 127)(21, 173)(22, 128)(23, 161)(24, 181)(25, 183)(26, 185)(27, 130)(28, 189)(29, 164)(30, 131)(31, 171)(32, 177)(33, 166)(34, 133)(35, 162)(36, 201)(37, 203)(38, 205)(39, 135)(40, 209)(41, 147)(42, 159)(43, 150)(44, 137)(45, 154)(46, 138)(47, 151)(48, 216)(49, 180)(50, 208)(51, 140)(52, 218)(53, 152)(54, 199)(55, 220)(56, 221)(57, 142)(58, 187)(59, 196)(60, 224)(61, 178)(62, 144)(63, 228)(64, 145)(65, 223)(66, 146)(67, 227)(68, 194)(69, 169)(70, 148)(71, 210)(72, 172)(73, 175)(74, 184)(75, 176)(76, 186)(77, 202)(78, 168)(79, 233)(80, 191)(81, 230)(82, 156)(83, 170)(84, 157)(85, 174)(86, 158)(87, 197)(88, 231)(89, 226)(90, 160)(91, 215)(92, 222)(93, 219)(94, 217)(95, 234)(96, 214)(97, 225)(98, 211)(99, 236)(100, 212)(101, 213)(102, 235)(103, 179)(104, 190)(105, 198)(106, 200)(107, 182)(108, 188)(109, 240)(110, 207)(111, 204)(112, 229)(113, 206)(114, 192)(115, 193)(116, 195)(117, 239)(118, 237)(119, 232)(120, 238)
	local type(s) :: { ( 5, 6, 5, 6, 5, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2006
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 40 e = 120 f = 44
	degree seq :: [ 6^40 ]

E19.2011 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2^5, (Y2^-1 * Y3^-1 * R)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^2 * Y3 * Y2^-1 * Y1^-1 * Y2^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^2 * Y1 * Y2^2, Y1 * Y2^-2 * Y1^-1 * Y2^-2 * Y3^-1 * Y2, Y2^-2 * R * Y2^2 * Y3 * Y2^-1 * R, Y2^2 * Y1 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2, Y2 * Y1 * Y2 * R * Y2^2 * R * Y2^-1 * Y3^-1, Y3^-1 * Y2^-2 * Y1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2 * Y1^-1 * Y2, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 121, 2, 122, 4, 124)(3, 123, 8, 128, 10, 130)(5, 125, 13, 133, 14, 134)(6, 126, 16, 136, 18, 138)(7, 127, 19, 139, 20, 140)(9, 129, 24, 144, 25, 145)(11, 131, 28, 148, 30, 150)(12, 132, 31, 151, 32, 152)(15, 135, 38, 158, 39, 159)(17, 137, 42, 162, 43, 163)(21, 141, 50, 170, 51, 171)(22, 142, 52, 172, 54, 174)(23, 143, 55, 175, 56, 176)(26, 146, 61, 181, 63, 183)(27, 147, 64, 184, 65, 185)(29, 149, 57, 177, 69, 189)(33, 153, 60, 180, 76, 196)(34, 154, 53, 173, 78, 198)(35, 155, 79, 199, 80, 200)(36, 156, 82, 202, 83, 203)(37, 157, 84, 204, 85, 205)(40, 160, 88, 208, 62, 182)(41, 161, 77, 197, 89, 209)(44, 164, 91, 211, 93, 213)(45, 165, 94, 214, 95, 215)(46, 166, 58, 178, 97, 217)(47, 167, 98, 218, 99, 219)(48, 168, 100, 220, 101, 221)(49, 169, 102, 222, 86, 206)(59, 179, 92, 212, 67, 187)(66, 186, 74, 194, 110, 230)(68, 188, 96, 216, 111, 231)(70, 190, 112, 232, 113, 233)(71, 191, 107, 227, 87, 207)(72, 192, 90, 210, 114, 234)(73, 193, 115, 235, 108, 228)(75, 195, 81, 201, 103, 223)(104, 224, 118, 238, 106, 226)(105, 225, 120, 240, 117, 237)(109, 229, 116, 236, 119, 239)(241, 361, 243, 363, 249, 369, 255, 375, 245, 365)(242, 362, 246, 366, 257, 377, 261, 381, 247, 367)(244, 364, 251, 371, 269, 389, 273, 393, 252, 372)(248, 368, 262, 382, 293, 413, 297, 417, 263, 383)(250, 370, 266, 386, 302, 422, 306, 426, 267, 387)(253, 373, 274, 394, 317, 437, 321, 441, 275, 395)(254, 374, 276, 396, 291, 411, 305, 425, 277, 397)(256, 376, 280, 400, 298, 418, 264, 384, 281, 401)(258, 378, 284, 404, 332, 452, 323, 443, 285, 405)(259, 379, 286, 406, 336, 456, 324, 444, 287, 407)(260, 380, 288, 408, 316, 436, 335, 455, 289, 409)(265, 385, 299, 419, 346, 466, 325, 445, 300, 420)(268, 388, 307, 427, 330, 450, 282, 402, 308, 428)(270, 390, 310, 430, 294, 414, 341, 461, 311, 431)(271, 391, 312, 432, 295, 415, 342, 462, 313, 433)(272, 392, 314, 434, 279, 399, 327, 447, 315, 435)(278, 398, 283, 403, 292, 412, 344, 464, 326, 446)(290, 410, 309, 429, 328, 448, 358, 478, 343, 463)(296, 416, 345, 465, 350, 470, 353, 473, 319, 439)(301, 421, 347, 467, 356, 476, 318, 438, 348, 468)(303, 423, 338, 458, 329, 449, 357, 477, 322, 442)(304, 424, 349, 469, 337, 457, 320, 440, 331, 451)(333, 453, 355, 475, 351, 471, 360, 480, 340, 460)(334, 454, 359, 479, 354, 474, 339, 459, 352, 472)
	L = (1, 244)(2, 241)(3, 250)(4, 242)(5, 254)(6, 258)(7, 260)(8, 243)(9, 265)(10, 248)(11, 270)(12, 272)(13, 245)(14, 253)(15, 279)(16, 246)(17, 283)(18, 256)(19, 247)(20, 259)(21, 291)(22, 294)(23, 296)(24, 249)(25, 264)(26, 303)(27, 305)(28, 251)(29, 309)(30, 268)(31, 252)(32, 271)(33, 316)(34, 318)(35, 320)(36, 323)(37, 325)(38, 255)(39, 278)(40, 302)(41, 329)(42, 257)(43, 282)(44, 333)(45, 335)(46, 337)(47, 339)(48, 341)(49, 326)(50, 261)(51, 290)(52, 262)(53, 274)(54, 292)(55, 263)(56, 295)(57, 269)(58, 286)(59, 307)(60, 273)(61, 266)(62, 328)(63, 301)(64, 267)(65, 304)(66, 350)(67, 332)(68, 351)(69, 297)(70, 353)(71, 327)(72, 354)(73, 348)(74, 306)(75, 343)(76, 300)(77, 281)(78, 293)(79, 275)(80, 319)(81, 315)(82, 276)(83, 322)(84, 277)(85, 324)(86, 342)(87, 347)(88, 280)(89, 317)(90, 312)(91, 284)(92, 299)(93, 331)(94, 285)(95, 334)(96, 308)(97, 298)(98, 287)(99, 338)(100, 288)(101, 340)(102, 289)(103, 321)(104, 346)(105, 357)(106, 358)(107, 311)(108, 355)(109, 359)(110, 314)(111, 336)(112, 310)(113, 352)(114, 330)(115, 313)(116, 349)(117, 360)(118, 344)(119, 356)(120, 345)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2014
Graph:: bipartite
	v = 64 e = 240 f = 140
	degree seq :: [ 6^40, 10^24 ]

E19.2012 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^5, Y1^5, (Y1 * Y2)^3, Y2^6, (Y3^-1 * Y1^-1)^3, Y2 * Y1^-2 * Y2^-2 * Y1^-2, Y2 * Y1^-1 * Y2^3 * Y1 * Y2^2 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 13, 133, 4, 124)(3, 123, 9, 129, 26, 146, 33, 153, 11, 131)(5, 125, 15, 135, 42, 162, 46, 166, 16, 136)(7, 127, 20, 140, 53, 173, 58, 178, 22, 142)(8, 128, 23, 143, 41, 161, 63, 183, 24, 144)(10, 130, 29, 149, 38, 158, 75, 195, 31, 151)(12, 132, 35, 155, 56, 176, 21, 141, 37, 157)(14, 134, 40, 160, 52, 172, 68, 188, 27, 147)(17, 137, 47, 167, 51, 171, 19, 139, 48, 168)(18, 138, 49, 169, 71, 191, 36, 156, 50, 170)(25, 145, 64, 184, 82, 202, 39, 159, 65, 185)(28, 148, 69, 189, 81, 201, 87, 207, 70, 190)(30, 150, 55, 175, 79, 199, 88, 208, 74, 194)(32, 152, 76, 196, 106, 226, 67, 187, 78, 198)(34, 154, 80, 200, 94, 214, 109, 229, 72, 192)(43, 163, 77, 197, 105, 225, 66, 186, 89, 209)(44, 164, 90, 210, 54, 174, 97, 217, 91, 211)(45, 165, 92, 212, 57, 177, 73, 193, 93, 213)(59, 179, 99, 219, 104, 224, 113, 233, 84, 204)(60, 180, 98, 218, 112, 232, 83, 203, 100, 220)(61, 181, 101, 221, 95, 215, 114, 234, 86, 206)(62, 182, 102, 222, 96, 216, 85, 205, 103, 223)(107, 227, 118, 238, 115, 235, 119, 239, 111, 231)(108, 228, 120, 240, 117, 237, 110, 230, 116, 236)(241, 361, 243, 363, 250, 370, 270, 390, 257, 377, 245, 365)(242, 362, 247, 367, 261, 381, 295, 415, 265, 385, 248, 368)(244, 364, 252, 372, 276, 396, 314, 434, 281, 401, 254, 374)(246, 366, 258, 378, 273, 393, 319, 439, 292, 412, 259, 379)(249, 369, 267, 387, 307, 427, 287, 407, 311, 431, 268, 388)(251, 371, 272, 392, 317, 437, 288, 408, 321, 441, 274, 394)(253, 373, 278, 398, 298, 418, 328, 448, 282, 402, 279, 399)(255, 375, 283, 403, 313, 433, 269, 389, 312, 432, 284, 404)(256, 376, 285, 405, 304, 424, 271, 391, 294, 414, 260, 380)(262, 382, 297, 417, 338, 458, 305, 425, 331, 451, 299, 419)(263, 383, 300, 420, 325, 445, 277, 397, 324, 444, 301, 421)(264, 384, 302, 422, 308, 428, 296, 416, 335, 455, 289, 409)(266, 386, 306, 426, 315, 435, 291, 411, 334, 454, 286, 406)(275, 395, 322, 442, 344, 464, 303, 423, 293, 413, 323, 443)(280, 400, 326, 446, 316, 436, 290, 410, 336, 456, 327, 447)(309, 429, 341, 461, 350, 470, 318, 438, 343, 463, 347, 467)(310, 430, 348, 468, 349, 469, 346, 466, 355, 475, 329, 449)(320, 440, 351, 471, 337, 457, 345, 465, 357, 477, 332, 452)(330, 450, 356, 476, 353, 473, 333, 453, 358, 478, 340, 460)(339, 459, 359, 479, 354, 474, 352, 472, 360, 480, 342, 462)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 258)(7, 261)(8, 242)(9, 267)(10, 270)(11, 272)(12, 276)(13, 278)(14, 244)(15, 283)(16, 285)(17, 245)(18, 273)(19, 246)(20, 256)(21, 295)(22, 297)(23, 300)(24, 302)(25, 248)(26, 306)(27, 307)(28, 249)(29, 312)(30, 257)(31, 294)(32, 317)(33, 319)(34, 251)(35, 322)(36, 314)(37, 324)(38, 298)(39, 253)(40, 326)(41, 254)(42, 279)(43, 313)(44, 255)(45, 304)(46, 266)(47, 311)(48, 321)(49, 264)(50, 336)(51, 334)(52, 259)(53, 323)(54, 260)(55, 265)(56, 335)(57, 338)(58, 328)(59, 262)(60, 325)(61, 263)(62, 308)(63, 293)(64, 271)(65, 331)(66, 315)(67, 287)(68, 296)(69, 341)(70, 348)(71, 268)(72, 284)(73, 269)(74, 281)(75, 291)(76, 290)(77, 288)(78, 343)(79, 292)(80, 351)(81, 274)(82, 344)(83, 275)(84, 301)(85, 277)(86, 316)(87, 280)(88, 282)(89, 310)(90, 356)(91, 299)(92, 320)(93, 358)(94, 286)(95, 289)(96, 327)(97, 345)(98, 305)(99, 359)(100, 330)(101, 350)(102, 339)(103, 347)(104, 303)(105, 357)(106, 355)(107, 309)(108, 349)(109, 346)(110, 318)(111, 337)(112, 360)(113, 333)(114, 352)(115, 329)(116, 353)(117, 332)(118, 340)(119, 354)(120, 342)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 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 E19.2013
Graph:: bipartite
	v = 44 e = 240 f = 160
	degree seq :: [ 10^24, 12^20 ]

E19.2013 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3^-1 * Y2 * Y3^-3 * Y2^-1 * Y3^-2, Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3, Y3^-1 * Y2^-1 * Y3^2 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, (Y2^-1 * Y3^-1)^5, (Y3 * Y2^-1)^5, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(241, 361, 242, 362, 244, 364)(243, 363, 248, 368, 250, 370)(245, 365, 253, 373, 254, 374)(246, 366, 256, 376, 258, 378)(247, 367, 259, 379, 260, 380)(249, 369, 264, 384, 266, 386)(251, 371, 269, 389, 271, 391)(252, 372, 272, 392, 273, 393)(255, 375, 279, 399, 280, 400)(257, 377, 283, 403, 285, 405)(261, 381, 292, 412, 293, 413)(262, 382, 294, 414, 296, 416)(263, 383, 297, 417, 298, 418)(265, 385, 284, 404, 302, 422)(267, 387, 305, 425, 307, 427)(268, 388, 308, 428, 309, 429)(270, 390, 313, 433, 314, 434)(274, 394, 321, 441, 322, 442)(275, 395, 323, 443, 324, 444)(276, 396, 325, 445, 326, 446)(277, 397, 327, 447, 328, 448)(278, 398, 329, 449, 330, 450)(281, 401, 331, 451, 332, 452)(282, 402, 306, 426, 333, 453)(286, 406, 301, 421, 338, 458)(287, 407, 339, 459, 340, 460)(288, 408, 303, 423, 341, 461)(289, 409, 342, 462, 343, 463)(290, 410, 344, 464, 345, 465)(291, 411, 299, 419, 346, 466)(295, 415, 316, 436, 348, 468)(300, 420, 319, 439, 350, 470)(304, 424, 311, 431, 351, 471)(310, 430, 318, 438, 353, 473)(312, 432, 337, 457, 354, 474)(315, 435, 335, 455, 355, 475)(317, 437, 336, 456, 356, 476)(320, 440, 334, 454, 347, 467)(349, 469, 360, 480, 358, 478)(352, 472, 357, 477, 359, 479)
	L = (1, 243)(2, 246)(3, 249)(4, 251)(5, 241)(6, 257)(7, 242)(8, 262)(9, 265)(10, 267)(11, 270)(12, 244)(13, 275)(14, 277)(15, 245)(16, 281)(17, 284)(18, 286)(19, 288)(20, 290)(21, 247)(22, 295)(23, 248)(24, 300)(25, 255)(26, 303)(27, 306)(28, 250)(29, 311)(30, 302)(31, 315)(32, 317)(33, 319)(34, 252)(35, 301)(36, 253)(37, 304)(38, 254)(39, 299)(40, 310)(41, 309)(42, 256)(43, 328)(44, 261)(45, 336)(46, 337)(47, 258)(48, 335)(49, 259)(50, 296)(51, 260)(52, 334)(53, 326)(54, 347)(55, 279)(56, 285)(57, 322)(58, 349)(59, 263)(60, 276)(61, 264)(62, 274)(63, 278)(64, 266)(65, 313)(66, 280)(67, 342)(68, 352)(69, 292)(70, 268)(71, 340)(72, 269)(73, 345)(74, 323)(75, 297)(76, 271)(77, 305)(78, 272)(79, 332)(80, 273)(81, 329)(82, 343)(83, 320)(84, 298)(85, 307)(86, 287)(87, 308)(88, 289)(89, 312)(90, 294)(91, 330)(92, 314)(93, 358)(94, 282)(95, 283)(96, 291)(97, 293)(98, 353)(99, 359)(100, 321)(101, 333)(102, 338)(103, 316)(104, 339)(105, 318)(106, 331)(107, 351)(108, 357)(109, 350)(110, 348)(111, 346)(112, 341)(113, 355)(114, 360)(115, 325)(116, 354)(117, 324)(118, 327)(119, 356)(120, 344)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 10, 12 ), ( 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2012
Graph:: simple bipartite
	v = 160 e = 240 f = 44
	degree seq :: [ 2^120, 6^40 ]

E19.2014 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, Y1^-2 * Y3^-1 * Y1^-3 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1 * Y3, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1 * Y3, (Y3^-1 * Y1^-1)^5, (Y3 * Y1^-1)^5 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 16, 136, 12, 132, 4, 124)(3, 123, 9, 129, 23, 143, 41, 161, 27, 147, 10, 130)(5, 125, 14, 134, 35, 155, 42, 162, 39, 159, 15, 135)(7, 127, 19, 139, 47, 167, 31, 151, 51, 171, 20, 140)(8, 128, 21, 141, 53, 173, 32, 152, 57, 177, 22, 142)(11, 131, 29, 149, 44, 164, 17, 137, 43, 163, 30, 150)(13, 133, 33, 153, 46, 166, 18, 138, 45, 165, 34, 154)(24, 144, 61, 181, 58, 178, 67, 187, 107, 227, 62, 182)(25, 145, 63, 183, 108, 228, 68, 188, 74, 194, 64, 184)(26, 146, 65, 185, 103, 223, 59, 179, 76, 196, 66, 186)(28, 148, 69, 189, 49, 169, 60, 180, 104, 224, 70, 190)(36, 156, 81, 201, 110, 230, 87, 207, 77, 197, 82, 202)(37, 157, 83, 203, 50, 170, 88, 208, 111, 231, 84, 204)(38, 158, 85, 205, 54, 174, 79, 199, 113, 233, 86, 206)(40, 160, 89, 209, 106, 226, 80, 200, 71, 191, 90, 210)(48, 168, 96, 216, 94, 214, 97, 217, 105, 225, 78, 198)(52, 172, 98, 218, 91, 211, 95, 215, 114, 234, 72, 192)(55, 175, 100, 220, 92, 212, 102, 222, 115, 235, 73, 193)(56, 176, 101, 221, 93, 213, 99, 219, 116, 236, 75, 195)(109, 229, 120, 240, 118, 238, 117, 237, 119, 239, 112, 232)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 245)(4, 251)(5, 241)(6, 257)(7, 248)(8, 242)(9, 264)(10, 266)(11, 253)(12, 271)(13, 244)(14, 276)(15, 278)(16, 281)(17, 258)(18, 246)(19, 288)(20, 290)(21, 294)(22, 296)(23, 299)(24, 265)(25, 249)(26, 268)(27, 307)(28, 250)(29, 311)(30, 313)(31, 272)(32, 252)(33, 315)(34, 317)(35, 319)(36, 277)(37, 254)(38, 280)(39, 327)(40, 255)(41, 282)(42, 256)(43, 329)(44, 332)(45, 333)(46, 321)(47, 324)(48, 289)(49, 259)(50, 292)(51, 337)(52, 260)(53, 339)(54, 295)(55, 261)(56, 298)(57, 326)(58, 262)(59, 300)(60, 263)(61, 345)(62, 293)(63, 284)(64, 349)(65, 285)(66, 340)(67, 308)(68, 267)(69, 352)(70, 291)(71, 312)(72, 269)(73, 314)(74, 270)(75, 316)(76, 273)(77, 318)(78, 274)(79, 320)(80, 275)(81, 334)(82, 348)(83, 343)(84, 335)(85, 344)(86, 342)(87, 328)(88, 279)(89, 331)(90, 347)(91, 283)(92, 303)(93, 305)(94, 286)(95, 287)(96, 330)(97, 310)(98, 359)(99, 302)(100, 351)(101, 354)(102, 297)(103, 355)(104, 358)(105, 346)(106, 301)(107, 336)(108, 357)(109, 350)(110, 304)(111, 306)(112, 353)(113, 309)(114, 360)(115, 323)(116, 338)(117, 322)(118, 325)(119, 356)(120, 341)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.2011
Graph:: simple bipartite
	v = 140 e = 240 f = 64
	degree seq :: [ 2^120, 12^20 ]

E19.2015 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3 * Y1^-2, (R * Y3)^2, (R * Y1)^2, Y2^6, Y2^6, Y2 * Y3 * Y1 * Y2^-1 * Y1^-1 * Y3^-1, Y2^6, (R * Y2 * Y3^-1)^2, Y2^2 * Y3^-1 * Y2^-3 * Y1^-1 * Y2, Y2^-1 * Y1^-1 * Y2^2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y2^-2 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^2 * Y3^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-1, Y1 * Y2^2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y3^-1 * Y2^-2 * Y3^-1 * Y2 * R * Y2^-1 * R * Y2 * Y3^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^5 ]
Map::
	R = (1, 121, 2, 122, 4, 124)(3, 123, 8, 128, 10, 130)(5, 125, 13, 133, 14, 134)(6, 126, 16, 136, 18, 138)(7, 127, 19, 139, 20, 140)(9, 129, 24, 144, 26, 146)(11, 131, 29, 149, 31, 151)(12, 132, 32, 152, 33, 153)(15, 135, 39, 159, 40, 160)(17, 137, 43, 163, 45, 165)(21, 141, 52, 172, 53, 173)(22, 142, 54, 174, 56, 176)(23, 143, 57, 177, 58, 178)(25, 145, 44, 164, 62, 182)(27, 147, 65, 185, 67, 187)(28, 148, 68, 188, 69, 189)(30, 150, 73, 193, 74, 194)(34, 154, 81, 201, 82, 202)(35, 155, 83, 203, 84, 204)(36, 156, 85, 205, 86, 206)(37, 157, 87, 207, 88, 208)(38, 158, 89, 209, 90, 210)(41, 161, 91, 211, 92, 212)(42, 162, 66, 186, 93, 213)(46, 166, 61, 181, 98, 218)(47, 167, 99, 219, 100, 220)(48, 168, 63, 183, 101, 221)(49, 169, 102, 222, 103, 223)(50, 170, 104, 224, 105, 225)(51, 171, 59, 179, 106, 226)(55, 175, 76, 196, 108, 228)(60, 180, 79, 199, 110, 230)(64, 184, 71, 191, 111, 231)(70, 190, 78, 198, 113, 233)(72, 192, 97, 217, 114, 234)(75, 195, 95, 215, 115, 235)(77, 197, 96, 216, 116, 236)(80, 200, 94, 214, 107, 227)(109, 229, 120, 240, 118, 238)(112, 232, 117, 237, 119, 239)(241, 361, 243, 363, 249, 369, 265, 385, 255, 375, 245, 365)(242, 362, 246, 366, 257, 377, 284, 404, 261, 381, 247, 367)(244, 364, 251, 371, 270, 390, 302, 422, 274, 394, 252, 372)(248, 368, 262, 382, 295, 415, 279, 399, 299, 419, 263, 383)(250, 370, 267, 387, 306, 426, 280, 400, 310, 430, 268, 388)(253, 373, 275, 395, 301, 421, 264, 384, 300, 420, 276, 396)(254, 374, 277, 397, 304, 424, 266, 386, 303, 423, 278, 398)(256, 376, 281, 401, 309, 429, 292, 412, 334, 454, 282, 402)(258, 378, 286, 406, 337, 457, 293, 413, 326, 446, 287, 407)(259, 379, 288, 408, 335, 455, 283, 403, 328, 448, 289, 409)(260, 380, 290, 410, 296, 416, 285, 405, 336, 456, 291, 411)(269, 389, 311, 431, 340, 460, 321, 441, 329, 449, 312, 432)(271, 391, 315, 435, 297, 417, 322, 442, 343, 463, 316, 436)(272, 392, 317, 437, 305, 425, 313, 433, 345, 465, 318, 438)(273, 393, 319, 439, 332, 452, 314, 434, 323, 443, 320, 440)(294, 414, 347, 467, 351, 471, 346, 466, 331, 451, 330, 450)(298, 418, 349, 469, 350, 470, 348, 468, 357, 477, 324, 444)(307, 427, 342, 462, 338, 458, 353, 473, 355, 475, 325, 445)(308, 428, 352, 472, 341, 461, 333, 453, 358, 478, 327, 447)(339, 459, 359, 479, 356, 476, 354, 474, 360, 480, 344, 464)
	L = (1, 244)(2, 241)(3, 250)(4, 242)(5, 254)(6, 258)(7, 260)(8, 243)(9, 266)(10, 248)(11, 271)(12, 273)(13, 245)(14, 253)(15, 280)(16, 246)(17, 285)(18, 256)(19, 247)(20, 259)(21, 293)(22, 296)(23, 298)(24, 249)(25, 302)(26, 264)(27, 307)(28, 309)(29, 251)(30, 314)(31, 269)(32, 252)(33, 272)(34, 322)(35, 324)(36, 326)(37, 328)(38, 330)(39, 255)(40, 279)(41, 332)(42, 333)(43, 257)(44, 265)(45, 283)(46, 338)(47, 340)(48, 341)(49, 343)(50, 345)(51, 346)(52, 261)(53, 292)(54, 262)(55, 348)(56, 294)(57, 263)(58, 297)(59, 291)(60, 350)(61, 286)(62, 284)(63, 288)(64, 351)(65, 267)(66, 282)(67, 305)(68, 268)(69, 308)(70, 353)(71, 304)(72, 354)(73, 270)(74, 313)(75, 355)(76, 295)(77, 356)(78, 310)(79, 300)(80, 347)(81, 274)(82, 321)(83, 275)(84, 323)(85, 276)(86, 325)(87, 277)(88, 327)(89, 278)(90, 329)(91, 281)(92, 331)(93, 306)(94, 320)(95, 315)(96, 317)(97, 312)(98, 301)(99, 287)(100, 339)(101, 303)(102, 289)(103, 342)(104, 290)(105, 344)(106, 299)(107, 334)(108, 316)(109, 358)(110, 319)(111, 311)(112, 359)(113, 318)(114, 337)(115, 335)(116, 336)(117, 352)(118, 360)(119, 357)(120, 349)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.2016
Graph:: bipartite
	v = 60 e = 240 f = 144
	degree seq :: [ 6^40, 12^20 ]

E19.2016 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y1^5, Y1^5, (R * Y2 * Y3^-1)^2, Y3^6, (Y1 * Y3)^3, Y3 * Y1^-2 * Y3^-2 * Y1^-2, Y3 * Y1^-1 * Y3^-3 * Y1 * Y3^2, (Y3 * Y2^-1)^6 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 13, 133, 4, 124)(3, 123, 9, 129, 26, 146, 33, 153, 11, 131)(5, 125, 15, 135, 42, 162, 46, 166, 16, 136)(7, 127, 20, 140, 53, 173, 58, 178, 22, 142)(8, 128, 23, 143, 41, 161, 63, 183, 24, 144)(10, 130, 29, 149, 38, 158, 75, 195, 31, 151)(12, 132, 35, 155, 56, 176, 21, 141, 37, 157)(14, 134, 40, 160, 52, 172, 68, 188, 27, 147)(17, 137, 47, 167, 51, 171, 19, 139, 48, 168)(18, 138, 49, 169, 71, 191, 36, 156, 50, 170)(25, 145, 64, 184, 82, 202, 39, 159, 65, 185)(28, 148, 69, 189, 81, 201, 87, 207, 70, 190)(30, 150, 55, 175, 79, 199, 88, 208, 74, 194)(32, 152, 76, 196, 106, 226, 67, 187, 78, 198)(34, 154, 80, 200, 94, 214, 109, 229, 72, 192)(43, 163, 77, 197, 105, 225, 66, 186, 89, 209)(44, 164, 90, 210, 54, 174, 97, 217, 91, 211)(45, 165, 92, 212, 57, 177, 73, 193, 93, 213)(59, 179, 99, 219, 104, 224, 113, 233, 84, 204)(60, 180, 98, 218, 112, 232, 83, 203, 100, 220)(61, 181, 101, 221, 95, 215, 114, 234, 86, 206)(62, 182, 102, 222, 96, 216, 85, 205, 103, 223)(107, 227, 118, 238, 115, 235, 119, 239, 111, 231)(108, 228, 120, 240, 117, 237, 110, 230, 116, 236)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 258)(7, 261)(8, 242)(9, 267)(10, 270)(11, 272)(12, 276)(13, 278)(14, 244)(15, 283)(16, 285)(17, 245)(18, 273)(19, 246)(20, 256)(21, 295)(22, 297)(23, 300)(24, 302)(25, 248)(26, 306)(27, 307)(28, 249)(29, 312)(30, 257)(31, 294)(32, 317)(33, 319)(34, 251)(35, 322)(36, 314)(37, 324)(38, 298)(39, 253)(40, 326)(41, 254)(42, 279)(43, 313)(44, 255)(45, 304)(46, 266)(47, 311)(48, 321)(49, 264)(50, 336)(51, 334)(52, 259)(53, 323)(54, 260)(55, 265)(56, 335)(57, 338)(58, 328)(59, 262)(60, 325)(61, 263)(62, 308)(63, 293)(64, 271)(65, 331)(66, 315)(67, 287)(68, 296)(69, 341)(70, 348)(71, 268)(72, 284)(73, 269)(74, 281)(75, 291)(76, 290)(77, 288)(78, 343)(79, 292)(80, 351)(81, 274)(82, 344)(83, 275)(84, 301)(85, 277)(86, 316)(87, 280)(88, 282)(89, 310)(90, 356)(91, 299)(92, 320)(93, 358)(94, 286)(95, 289)(96, 327)(97, 345)(98, 305)(99, 359)(100, 330)(101, 350)(102, 339)(103, 347)(104, 303)(105, 357)(106, 355)(107, 309)(108, 349)(109, 346)(110, 318)(111, 337)(112, 360)(113, 333)(114, 352)(115, 329)(116, 353)(117, 332)(118, 340)(119, 354)(120, 342)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2015
Graph:: simple bipartite
	v = 144 e = 240 f = 60
	degree seq :: [ 2^120, 10^24 ]

E19.2017 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 10})
Quotient :: regular
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^2 * T2)^3, (T1^-1 * T2 * T1^2 * T2)^2, T1^10, (T2 * T1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-3 * T2 * T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 46, 22, 10, 4)(3, 7, 15, 31, 61, 83, 72, 38, 18, 8)(6, 13, 27, 54, 91, 82, 98, 60, 30, 14)(9, 19, 39, 73, 85, 48, 84, 77, 42, 20)(12, 25, 37, 70, 81, 45, 80, 62, 53, 26)(16, 33, 63, 100, 115, 106, 109, 90, 52, 34)(17, 35, 66, 102, 93, 99, 112, 86, 69, 36)(21, 43, 78, 71, 50, 24, 49, 59, 32, 44)(28, 55, 92, 79, 110, 105, 68, 104, 87, 56)(29, 57, 40, 74, 107, 114, 117, 111, 97, 58)(41, 75, 108, 96, 64, 101, 89, 51, 88, 76)(65, 95, 67, 103, 116, 119, 120, 118, 113, 94)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 51)(26, 52)(27, 42)(30, 59)(31, 62)(33, 64)(34, 65)(35, 67)(36, 68)(38, 71)(39, 70)(43, 66)(44, 79)(46, 82)(47, 83)(49, 86)(50, 87)(53, 77)(54, 78)(55, 93)(56, 94)(57, 95)(58, 96)(60, 73)(61, 99)(63, 69)(72, 106)(74, 104)(75, 103)(76, 109)(80, 108)(81, 100)(84, 111)(85, 101)(88, 107)(89, 113)(90, 102)(91, 114)(92, 97)(98, 105)(110, 116)(112, 118)(115, 119)(117, 120)
	local type(s) :: { ( 10^10 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 12 e = 60 f = 12
	degree seq :: [ 10^12 ]

E19.2018 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 10})
Quotient :: edge
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T1 * T2^-2)^3, (T2^-1 * T1 * T2^2 * T1)^2, T2^10, (T2^-1 * T1 * T2^-1 * T1 * T2 * T1)^2, (T2 * T1 * T2 * T1 * T2^2)^2, T2^-4 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 ]
Map::
	R = (1, 3, 8, 18, 38, 72, 46, 22, 10, 4)(2, 5, 12, 26, 53, 90, 60, 30, 14, 6)(7, 15, 32, 63, 100, 82, 102, 66, 34, 16)(9, 19, 40, 74, 106, 71, 105, 77, 42, 20)(11, 23, 48, 85, 111, 96, 109, 88, 50, 24)(13, 27, 55, 92, 97, 89, 113, 95, 57, 28)(17, 35, 29, 58, 81, 45, 80, 52, 68, 36)(21, 43, 78, 59, 70, 37, 69, 51, 25, 44)(31, 61, 98, 79, 110, 94, 56, 93, 99, 62)(33, 64, 39, 73, 107, 115, 119, 116, 101, 65)(41, 75, 108, 84, 47, 83, 104, 67, 103, 76)(49, 86, 54, 91, 114, 117, 120, 118, 112, 87)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 137)(130, 141)(132, 145)(134, 149)(135, 151)(136, 153)(138, 157)(139, 159)(140, 161)(142, 165)(143, 167)(144, 169)(146, 172)(147, 174)(148, 176)(150, 179)(152, 162)(154, 171)(155, 187)(156, 170)(158, 191)(160, 178)(163, 175)(164, 199)(166, 202)(168, 177)(173, 209)(180, 216)(181, 217)(182, 207)(183, 198)(184, 206)(185, 204)(186, 194)(188, 197)(189, 215)(190, 219)(192, 210)(193, 213)(195, 211)(196, 229)(200, 228)(201, 205)(203, 226)(208, 212)(214, 222)(218, 221)(220, 235)(223, 227)(224, 232)(225, 236)(230, 234)(231, 237)(233, 238)(239, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 20, 20 ), ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E19.2019
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 120 f = 12
	degree seq :: [ 2^60, 10^12 ]

E19.2019 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 10})
Quotient :: loop
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T1 * T2^-2)^3, (T2^-1 * T1 * T2^2 * T1)^2, T2^10, (T2^-1 * T1 * T2^-1 * T1 * T2 * T1)^2, (T2 * T1 * T2 * T1 * T2^2)^2, T2^-4 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 ]
Map::
	R = (1, 121, 3, 123, 8, 128, 18, 138, 38, 158, 72, 192, 46, 166, 22, 142, 10, 130, 4, 124)(2, 122, 5, 125, 12, 132, 26, 146, 53, 173, 90, 210, 60, 180, 30, 150, 14, 134, 6, 126)(7, 127, 15, 135, 32, 152, 63, 183, 100, 220, 82, 202, 102, 222, 66, 186, 34, 154, 16, 136)(9, 129, 19, 139, 40, 160, 74, 194, 106, 226, 71, 191, 105, 225, 77, 197, 42, 162, 20, 140)(11, 131, 23, 143, 48, 168, 85, 205, 111, 231, 96, 216, 109, 229, 88, 208, 50, 170, 24, 144)(13, 133, 27, 147, 55, 175, 92, 212, 97, 217, 89, 209, 113, 233, 95, 215, 57, 177, 28, 148)(17, 137, 35, 155, 29, 149, 58, 178, 81, 201, 45, 165, 80, 200, 52, 172, 68, 188, 36, 156)(21, 141, 43, 163, 78, 198, 59, 179, 70, 190, 37, 157, 69, 189, 51, 171, 25, 145, 44, 164)(31, 151, 61, 181, 98, 218, 79, 199, 110, 230, 94, 214, 56, 176, 93, 213, 99, 219, 62, 182)(33, 153, 64, 184, 39, 159, 73, 193, 107, 227, 115, 235, 119, 239, 116, 236, 101, 221, 65, 185)(41, 161, 75, 195, 108, 228, 84, 204, 47, 167, 83, 203, 104, 224, 67, 187, 103, 223, 76, 196)(49, 169, 86, 206, 54, 174, 91, 211, 114, 234, 117, 237, 120, 240, 118, 238, 112, 232, 87, 207)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 137)(9, 124)(10, 141)(11, 125)(12, 145)(13, 126)(14, 149)(15, 151)(16, 153)(17, 128)(18, 157)(19, 159)(20, 161)(21, 130)(22, 165)(23, 167)(24, 169)(25, 132)(26, 172)(27, 174)(28, 176)(29, 134)(30, 179)(31, 135)(32, 162)(33, 136)(34, 171)(35, 187)(36, 170)(37, 138)(38, 191)(39, 139)(40, 178)(41, 140)(42, 152)(43, 175)(44, 199)(45, 142)(46, 202)(47, 143)(48, 177)(49, 144)(50, 156)(51, 154)(52, 146)(53, 209)(54, 147)(55, 163)(56, 148)(57, 168)(58, 160)(59, 150)(60, 216)(61, 217)(62, 207)(63, 198)(64, 206)(65, 204)(66, 194)(67, 155)(68, 197)(69, 215)(70, 219)(71, 158)(72, 210)(73, 213)(74, 186)(75, 211)(76, 229)(77, 188)(78, 183)(79, 164)(80, 228)(81, 205)(82, 166)(83, 226)(84, 185)(85, 201)(86, 184)(87, 182)(88, 212)(89, 173)(90, 192)(91, 195)(92, 208)(93, 193)(94, 222)(95, 189)(96, 180)(97, 181)(98, 221)(99, 190)(100, 235)(101, 218)(102, 214)(103, 227)(104, 232)(105, 236)(106, 203)(107, 223)(108, 200)(109, 196)(110, 234)(111, 237)(112, 224)(113, 238)(114, 230)(115, 220)(116, 225)(117, 231)(118, 233)(119, 240)(120, 239)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.2018
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 120 f = 72
	degree seq :: [ 20^12 ]

E19.2020 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, R * Y1 * Y2 * Y1 * R * Y2, Y1 * Y2^-1 * Y1 * R * Y2^-1 * R, (R * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * R * Y2^2 * R * Y2^-2 * Y1 * Y2^-1, Y2^10, Y1 * Y2^2 * R * Y2 * R * Y2^2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2 * R * Y2 * R * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y2 * Y1 * Y2 * Y1 * Y2^2)^2, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 17, 137)(10, 130, 21, 141)(12, 132, 25, 145)(14, 134, 29, 149)(15, 135, 31, 151)(16, 136, 33, 153)(18, 138, 37, 157)(19, 139, 39, 159)(20, 140, 41, 161)(22, 142, 45, 165)(23, 143, 47, 167)(24, 144, 49, 169)(26, 146, 52, 172)(27, 147, 54, 174)(28, 148, 56, 176)(30, 150, 59, 179)(32, 152, 42, 162)(34, 154, 51, 171)(35, 155, 67, 187)(36, 156, 50, 170)(38, 158, 71, 191)(40, 160, 58, 178)(43, 163, 55, 175)(44, 164, 79, 199)(46, 166, 82, 202)(48, 168, 57, 177)(53, 173, 89, 209)(60, 180, 96, 216)(61, 181, 97, 217)(62, 182, 87, 207)(63, 183, 78, 198)(64, 184, 86, 206)(65, 185, 84, 204)(66, 186, 74, 194)(68, 188, 77, 197)(69, 189, 95, 215)(70, 190, 99, 219)(72, 192, 90, 210)(73, 193, 93, 213)(75, 195, 91, 211)(76, 196, 109, 229)(80, 200, 108, 228)(81, 201, 85, 205)(83, 203, 106, 226)(88, 208, 92, 212)(94, 214, 102, 222)(98, 218, 101, 221)(100, 220, 115, 235)(103, 223, 107, 227)(104, 224, 112, 232)(105, 225, 116, 236)(110, 230, 114, 234)(111, 231, 117, 237)(113, 233, 118, 238)(119, 239, 120, 240)(241, 361, 243, 363, 248, 368, 258, 378, 278, 398, 312, 432, 286, 406, 262, 382, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 266, 386, 293, 413, 330, 450, 300, 420, 270, 390, 254, 374, 246, 366)(247, 367, 255, 375, 272, 392, 303, 423, 340, 460, 322, 442, 342, 462, 306, 426, 274, 394, 256, 376)(249, 369, 259, 379, 280, 400, 314, 434, 346, 466, 311, 431, 345, 465, 317, 437, 282, 402, 260, 380)(251, 371, 263, 383, 288, 408, 325, 445, 351, 471, 336, 456, 349, 469, 328, 448, 290, 410, 264, 384)(253, 373, 267, 387, 295, 415, 332, 452, 337, 457, 329, 449, 353, 473, 335, 455, 297, 417, 268, 388)(257, 377, 275, 395, 269, 389, 298, 418, 321, 441, 285, 405, 320, 440, 292, 412, 308, 428, 276, 396)(261, 381, 283, 403, 318, 438, 299, 419, 310, 430, 277, 397, 309, 429, 291, 411, 265, 385, 284, 404)(271, 391, 301, 421, 338, 458, 319, 439, 350, 470, 334, 454, 296, 416, 333, 453, 339, 459, 302, 422)(273, 393, 304, 424, 279, 399, 313, 433, 347, 467, 355, 475, 359, 479, 356, 476, 341, 461, 305, 425)(281, 401, 315, 435, 348, 468, 324, 444, 287, 407, 323, 443, 344, 464, 307, 427, 343, 463, 316, 436)(289, 409, 326, 446, 294, 414, 331, 451, 354, 474, 357, 477, 360, 480, 358, 478, 352, 472, 327, 447)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 257)(9, 244)(10, 261)(11, 245)(12, 265)(13, 246)(14, 269)(15, 271)(16, 273)(17, 248)(18, 277)(19, 279)(20, 281)(21, 250)(22, 285)(23, 287)(24, 289)(25, 252)(26, 292)(27, 294)(28, 296)(29, 254)(30, 299)(31, 255)(32, 282)(33, 256)(34, 291)(35, 307)(36, 290)(37, 258)(38, 311)(39, 259)(40, 298)(41, 260)(42, 272)(43, 295)(44, 319)(45, 262)(46, 322)(47, 263)(48, 297)(49, 264)(50, 276)(51, 274)(52, 266)(53, 329)(54, 267)(55, 283)(56, 268)(57, 288)(58, 280)(59, 270)(60, 336)(61, 337)(62, 327)(63, 318)(64, 326)(65, 324)(66, 314)(67, 275)(68, 317)(69, 335)(70, 339)(71, 278)(72, 330)(73, 333)(74, 306)(75, 331)(76, 349)(77, 308)(78, 303)(79, 284)(80, 348)(81, 325)(82, 286)(83, 346)(84, 305)(85, 321)(86, 304)(87, 302)(88, 332)(89, 293)(90, 312)(91, 315)(92, 328)(93, 313)(94, 342)(95, 309)(96, 300)(97, 301)(98, 341)(99, 310)(100, 355)(101, 338)(102, 334)(103, 347)(104, 352)(105, 356)(106, 323)(107, 343)(108, 320)(109, 316)(110, 354)(111, 357)(112, 344)(113, 358)(114, 350)(115, 340)(116, 345)(117, 351)(118, 353)(119, 360)(120, 359)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 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 E19.2021
Graph:: bipartite
	v = 72 e = 240 f = 132
	degree seq :: [ 4^60, 20^12 ]

E19.2021 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y1^2 * Y3)^3, (Y1^-1 * Y3 * Y1^2 * Y3)^2, Y1^10, (Y3 * Y1 * Y3 * Y1^-1)^3, (Y3 * Y1^-3 * Y3 * Y1^-1)^2 ]
Map::
	R = (1, 121, 2, 122, 5, 125, 11, 131, 23, 143, 47, 167, 46, 166, 22, 142, 10, 130, 4, 124)(3, 123, 7, 127, 15, 135, 31, 151, 61, 181, 83, 203, 72, 192, 38, 158, 18, 138, 8, 128)(6, 126, 13, 133, 27, 147, 54, 174, 91, 211, 82, 202, 98, 218, 60, 180, 30, 150, 14, 134)(9, 129, 19, 139, 39, 159, 73, 193, 85, 205, 48, 168, 84, 204, 77, 197, 42, 162, 20, 140)(12, 132, 25, 145, 37, 157, 70, 190, 81, 201, 45, 165, 80, 200, 62, 182, 53, 173, 26, 146)(16, 136, 33, 153, 63, 183, 100, 220, 115, 235, 106, 226, 109, 229, 90, 210, 52, 172, 34, 154)(17, 137, 35, 155, 66, 186, 102, 222, 93, 213, 99, 219, 112, 232, 86, 206, 69, 189, 36, 156)(21, 141, 43, 163, 78, 198, 71, 191, 50, 170, 24, 144, 49, 169, 59, 179, 32, 152, 44, 164)(28, 148, 55, 175, 92, 212, 79, 199, 110, 230, 105, 225, 68, 188, 104, 224, 87, 207, 56, 176)(29, 149, 57, 177, 40, 160, 74, 194, 107, 227, 114, 234, 117, 237, 111, 231, 97, 217, 58, 178)(41, 161, 75, 195, 108, 228, 96, 216, 64, 184, 101, 221, 89, 209, 51, 171, 88, 208, 76, 196)(65, 185, 95, 215, 67, 187, 103, 223, 116, 236, 119, 239, 120, 240, 118, 238, 113, 233, 94, 214)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 246)(3, 241)(4, 249)(5, 252)(6, 242)(7, 256)(8, 257)(9, 244)(10, 261)(11, 264)(12, 245)(13, 268)(14, 269)(15, 272)(16, 247)(17, 248)(18, 277)(19, 280)(20, 281)(21, 250)(22, 285)(23, 288)(24, 251)(25, 291)(26, 292)(27, 282)(28, 253)(29, 254)(30, 299)(31, 302)(32, 255)(33, 304)(34, 305)(35, 307)(36, 308)(37, 258)(38, 311)(39, 310)(40, 259)(41, 260)(42, 267)(43, 306)(44, 319)(45, 262)(46, 322)(47, 323)(48, 263)(49, 326)(50, 327)(51, 265)(52, 266)(53, 317)(54, 318)(55, 333)(56, 334)(57, 335)(58, 336)(59, 270)(60, 313)(61, 339)(62, 271)(63, 309)(64, 273)(65, 274)(66, 283)(67, 275)(68, 276)(69, 303)(70, 279)(71, 278)(72, 346)(73, 300)(74, 344)(75, 343)(76, 349)(77, 293)(78, 294)(79, 284)(80, 348)(81, 340)(82, 286)(83, 287)(84, 351)(85, 341)(86, 289)(87, 290)(88, 347)(89, 353)(90, 342)(91, 354)(92, 337)(93, 295)(94, 296)(95, 297)(96, 298)(97, 332)(98, 345)(99, 301)(100, 321)(101, 325)(102, 330)(103, 315)(104, 314)(105, 338)(106, 312)(107, 328)(108, 320)(109, 316)(110, 356)(111, 324)(112, 358)(113, 329)(114, 331)(115, 359)(116, 350)(117, 360)(118, 352)(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, 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 E19.2020
Graph:: simple bipartite
	v = 132 e = 240 f = 72
	degree seq :: [ 2^120, 20^12 ]

E19.2022 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 21})
Quotient :: regular
Aut^+ = C3 x D42 (small group id <126, 13>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-3)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^21 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 77, 89, 101, 112, 100, 88, 76, 64, 52, 38, 22, 10, 4)(3, 7, 15, 31, 47, 59, 71, 83, 95, 107, 118, 114, 102, 93, 79, 66, 57, 41, 24, 18, 8)(6, 13, 27, 21, 37, 51, 63, 75, 87, 99, 111, 122, 113, 105, 91, 78, 69, 55, 40, 30, 14)(9, 19, 36, 50, 62, 74, 86, 98, 110, 121, 116, 103, 90, 81, 67, 54, 44, 26, 12, 25, 20)(16, 28, 42, 35, 46, 58, 70, 82, 94, 106, 117, 124, 125, 120, 109, 96, 85, 73, 60, 49, 33)(17, 29, 43, 56, 68, 80, 92, 104, 115, 123, 126, 119, 108, 97, 84, 72, 61, 48, 32, 45, 34)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 31)(23, 40)(25, 42)(26, 43)(27, 45)(30, 46)(36, 48)(37, 49)(38, 50)(39, 54)(41, 56)(44, 58)(47, 60)(51, 61)(52, 63)(53, 66)(55, 68)(57, 70)(59, 72)(62, 73)(64, 71)(65, 78)(67, 80)(69, 82)(74, 84)(75, 85)(76, 86)(77, 90)(79, 92)(81, 94)(83, 96)(87, 97)(88, 99)(89, 102)(91, 104)(93, 106)(95, 108)(98, 109)(100, 107)(101, 113)(103, 115)(105, 117)(110, 119)(111, 120)(112, 121)(114, 123)(116, 124)(118, 125)(122, 126)
	local type(s) :: { ( 6^21 ) }
Outer automorphisms :: reflexible
Dual of E19.2023
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 63 f = 21
	degree seq :: [ 21^6 ]

E19.2023 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 21})
Quotient :: regular
Aut^+ = C3 x D42 (small group id <126, 13>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^6, (T1^-1 * T2)^21 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 12, 20, 17, 8)(6, 13, 19, 18, 9, 14)(15, 23, 27, 25, 16, 24)(21, 28, 26, 30, 22, 29)(31, 37, 33, 39, 32, 38)(34, 40, 36, 42, 35, 41)(43, 49, 45, 51, 44, 50)(46, 76, 48, 78, 47, 77)(52, 82, 55, 87, 58, 83)(53, 84, 59, 86, 54, 85)(56, 88, 63, 90, 57, 89)(60, 91, 62, 93, 61, 92)(64, 94, 66, 96, 65, 95)(67, 97, 69, 99, 68, 98)(70, 100, 72, 102, 71, 101)(73, 103, 75, 105, 74, 104)(79, 109, 81, 111, 80, 110)(106, 126, 107, 124, 108, 125)(112, 122, 113, 123, 114, 121)(115, 120, 116, 118, 117, 119)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 55)(50, 52)(51, 58)(53, 77)(54, 78)(56, 82)(57, 83)(59, 76)(60, 84)(61, 85)(62, 86)(63, 87)(64, 88)(65, 89)(66, 90)(67, 91)(68, 92)(69, 93)(70, 94)(71, 95)(72, 96)(73, 97)(74, 98)(75, 99)(79, 100)(80, 101)(81, 102)(103, 106)(104, 108)(105, 107)(109, 113)(110, 112)(111, 114)(115, 125)(116, 126)(117, 124)(118, 122)(119, 123)(120, 121)
	local type(s) :: { ( 21^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2022
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 21 e = 63 f = 6
	degree seq :: [ 6^21 ]

E19.2024 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 21})
Quotient :: edge
Aut^+ = C3 x D42 (small group id <126, 13>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^6, (T2^-1 * T1)^21 ]
Map:: polytopal
	R = (1, 3, 8, 17, 10, 4)(2, 5, 12, 21, 14, 6)(7, 15, 24, 18, 9, 16)(11, 19, 28, 22, 13, 20)(23, 31, 26, 33, 25, 32)(27, 34, 30, 36, 29, 35)(37, 43, 39, 45, 38, 44)(40, 46, 42, 48, 41, 47)(49, 79, 51, 81, 50, 80)(52, 82, 57, 90, 58, 83)(53, 84, 61, 86, 54, 85)(55, 87, 65, 89, 56, 88)(59, 91, 62, 93, 60, 92)(63, 94, 66, 96, 64, 95)(67, 97, 69, 99, 68, 98)(70, 100, 72, 102, 71, 101)(73, 103, 75, 105, 74, 104)(76, 106, 78, 108, 77, 107)(109, 126, 110, 124, 111, 125)(112, 122, 113, 123, 114, 121)(115, 120, 116, 118, 117, 119)(127, 128)(129, 133)(130, 135)(131, 137)(132, 139)(134, 138)(136, 140)(141, 149)(142, 151)(143, 150)(144, 152)(145, 153)(146, 155)(147, 154)(148, 156)(157, 163)(158, 164)(159, 165)(160, 166)(161, 167)(162, 168)(169, 175)(170, 176)(171, 177)(172, 183)(173, 178)(174, 184)(179, 206)(180, 207)(181, 208)(182, 209)(185, 210)(186, 211)(187, 205)(188, 212)(189, 213)(190, 214)(191, 216)(192, 215)(193, 217)(194, 218)(195, 219)(196, 220)(197, 221)(198, 222)(199, 223)(200, 224)(201, 225)(202, 226)(203, 227)(204, 228)(229, 235)(230, 237)(231, 236)(232, 239)(233, 238)(234, 240)(241, 251)(242, 252)(243, 250)(244, 248)(245, 249)(246, 247)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 42, 42 ), ( 42^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2028
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 126 f = 6
	degree seq :: [ 2^63, 6^21 ]

E19.2025 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 21})
Quotient :: edge
Aut^+ = C3 x D42 (small group id <126, 13>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^-1 * T2 * T1^3, (T2^-2 * T1)^2, T2^21 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 73, 85, 97, 109, 112, 100, 88, 76, 64, 52, 40, 28, 15, 5)(2, 7, 19, 32, 44, 56, 68, 80, 92, 104, 116, 118, 106, 94, 82, 70, 58, 46, 34, 22, 8)(4, 12, 26, 38, 50, 62, 74, 86, 98, 110, 121, 119, 107, 95, 83, 71, 59, 47, 35, 23, 9)(6, 17, 29, 41, 53, 65, 77, 89, 101, 113, 123, 124, 114, 102, 90, 78, 66, 54, 42, 30, 18)(11, 16, 14, 27, 39, 51, 63, 75, 87, 99, 111, 122, 120, 108, 96, 84, 72, 60, 48, 36, 24)(13, 21, 33, 45, 57, 69, 81, 93, 105, 117, 126, 125, 115, 103, 91, 79, 67, 55, 43, 31, 20)(127, 128, 132, 142, 139, 130)(129, 135, 143, 134, 147, 137)(131, 140, 144, 138, 146, 133)(136, 150, 155, 149, 159, 148)(141, 152, 156, 145, 157, 153)(151, 160, 167, 162, 171, 161)(154, 158, 168, 165, 169, 164)(163, 173, 179, 172, 183, 174)(166, 177, 180, 176, 181, 170)(175, 186, 191, 185, 195, 184)(178, 188, 192, 182, 193, 189)(187, 196, 203, 198, 207, 197)(190, 194, 204, 201, 205, 200)(199, 209, 215, 208, 219, 210)(202, 213, 216, 212, 217, 206)(211, 222, 227, 221, 231, 220)(214, 224, 228, 218, 229, 225)(223, 232, 239, 234, 243, 233)(226, 230, 240, 237, 241, 236)(235, 245, 249, 244, 252, 246)(238, 248, 250, 247, 251, 242)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 4^6 ), ( 4^21 ) }
Outer automorphisms :: reflexible
Dual of E19.2029
Transitivity :: ET+
Graph:: simple bipartite
	v = 27 e = 126 f = 63
	degree seq :: [ 6^21, 21^6 ]

E19.2026 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 21})
Quotient :: edge
Aut^+ = C3 x D42 (small group id <126, 13>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-3)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^21 ]
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, 35)(19, 33)(20, 34)(22, 31)(23, 40)(25, 42)(26, 43)(27, 45)(30, 46)(36, 48)(37, 49)(38, 50)(39, 54)(41, 56)(44, 58)(47, 60)(51, 61)(52, 63)(53, 66)(55, 68)(57, 70)(59, 72)(62, 73)(64, 71)(65, 78)(67, 80)(69, 82)(74, 84)(75, 85)(76, 86)(77, 90)(79, 92)(81, 94)(83, 96)(87, 97)(88, 99)(89, 102)(91, 104)(93, 106)(95, 108)(98, 109)(100, 107)(101, 113)(103, 115)(105, 117)(110, 119)(111, 120)(112, 121)(114, 123)(116, 124)(118, 125)(122, 126)(127, 128, 131, 137, 149, 165, 179, 191, 203, 215, 227, 238, 226, 214, 202, 190, 178, 164, 148, 136, 130)(129, 133, 141, 157, 173, 185, 197, 209, 221, 233, 244, 240, 228, 219, 205, 192, 183, 167, 150, 144, 134)(132, 139, 153, 147, 163, 177, 189, 201, 213, 225, 237, 248, 239, 231, 217, 204, 195, 181, 166, 156, 140)(135, 145, 162, 176, 188, 200, 212, 224, 236, 247, 242, 229, 216, 207, 193, 180, 170, 152, 138, 151, 146)(142, 154, 168, 161, 172, 184, 196, 208, 220, 232, 243, 250, 251, 246, 235, 222, 211, 199, 186, 175, 159)(143, 155, 169, 182, 194, 206, 218, 230, 241, 249, 252, 245, 234, 223, 210, 198, 187, 174, 158, 171, 160)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 12, 12 ), ( 12^21 ) }
Outer automorphisms :: reflexible
Dual of E19.2027
Transitivity :: ET+
Graph:: simple bipartite
	v = 69 e = 126 f = 21
	degree seq :: [ 2^63, 21^6 ]

E19.2027 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 21})
Quotient :: loop
Aut^+ = C3 x D42 (small group id <126, 13>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^6, (T2^-1 * T1)^21 ]
Map::
	R = (1, 127, 3, 129, 8, 134, 17, 143, 10, 136, 4, 130)(2, 128, 5, 131, 12, 138, 21, 147, 14, 140, 6, 132)(7, 133, 15, 141, 24, 150, 18, 144, 9, 135, 16, 142)(11, 137, 19, 145, 28, 154, 22, 148, 13, 139, 20, 146)(23, 149, 31, 157, 26, 152, 33, 159, 25, 151, 32, 158)(27, 153, 34, 160, 30, 156, 36, 162, 29, 155, 35, 161)(37, 163, 43, 169, 39, 165, 45, 171, 38, 164, 44, 170)(40, 166, 46, 172, 42, 168, 48, 174, 41, 167, 47, 173)(49, 175, 79, 205, 51, 177, 81, 207, 50, 176, 80, 206)(52, 178, 82, 208, 57, 183, 90, 216, 58, 184, 83, 209)(53, 179, 84, 210, 61, 187, 86, 212, 54, 180, 85, 211)(55, 181, 87, 213, 65, 191, 89, 215, 56, 182, 88, 214)(59, 185, 91, 217, 62, 188, 93, 219, 60, 186, 92, 218)(63, 189, 94, 220, 66, 192, 96, 222, 64, 190, 95, 221)(67, 193, 97, 223, 69, 195, 99, 225, 68, 194, 98, 224)(70, 196, 100, 226, 72, 198, 102, 228, 71, 197, 101, 227)(73, 199, 103, 229, 75, 201, 105, 231, 74, 200, 104, 230)(76, 202, 106, 232, 78, 204, 108, 234, 77, 203, 107, 233)(109, 235, 126, 252, 110, 236, 124, 250, 111, 237, 125, 251)(112, 238, 122, 248, 113, 239, 123, 249, 114, 240, 121, 247)(115, 241, 120, 246, 116, 242, 118, 244, 117, 243, 119, 245)
	L = (1, 128)(2, 127)(3, 133)(4, 135)(5, 137)(6, 139)(7, 129)(8, 138)(9, 130)(10, 140)(11, 131)(12, 134)(13, 132)(14, 136)(15, 149)(16, 151)(17, 150)(18, 152)(19, 153)(20, 155)(21, 154)(22, 156)(23, 141)(24, 143)(25, 142)(26, 144)(27, 145)(28, 147)(29, 146)(30, 148)(31, 163)(32, 164)(33, 165)(34, 166)(35, 167)(36, 168)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 175)(44, 176)(45, 177)(46, 183)(47, 178)(48, 184)(49, 169)(50, 170)(51, 171)(52, 173)(53, 206)(54, 207)(55, 208)(56, 209)(57, 172)(58, 174)(59, 210)(60, 211)(61, 205)(62, 212)(63, 213)(64, 214)(65, 216)(66, 215)(67, 217)(68, 218)(69, 219)(70, 220)(71, 221)(72, 222)(73, 223)(74, 224)(75, 225)(76, 226)(77, 227)(78, 228)(79, 187)(80, 179)(81, 180)(82, 181)(83, 182)(84, 185)(85, 186)(86, 188)(87, 189)(88, 190)(89, 192)(90, 191)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)(103, 235)(104, 237)(105, 236)(106, 239)(107, 238)(108, 240)(109, 229)(110, 231)(111, 230)(112, 233)(113, 232)(114, 234)(115, 251)(116, 252)(117, 250)(118, 248)(119, 249)(120, 247)(121, 246)(122, 244)(123, 245)(124, 243)(125, 241)(126, 242)
	local type(s) :: { ( 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21 ) }
Outer automorphisms :: reflexible
Dual of E19.2026
Transitivity :: ET+ VT+ AT
Graph::
	v = 21 e = 126 f = 69
	degree seq :: [ 12^21 ]

E19.2028 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 21})
Quotient :: loop
Aut^+ = C3 x D42 (small group id <126, 13>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^-1 * T2 * T1^3, (T2^-2 * T1)^2, T2^21 ]
Map::
	R = (1, 127, 3, 129, 10, 136, 25, 151, 37, 163, 49, 175, 61, 187, 73, 199, 85, 211, 97, 223, 109, 235, 112, 238, 100, 226, 88, 214, 76, 202, 64, 190, 52, 178, 40, 166, 28, 154, 15, 141, 5, 131)(2, 128, 7, 133, 19, 145, 32, 158, 44, 170, 56, 182, 68, 194, 80, 206, 92, 218, 104, 230, 116, 242, 118, 244, 106, 232, 94, 220, 82, 208, 70, 196, 58, 184, 46, 172, 34, 160, 22, 148, 8, 134)(4, 130, 12, 138, 26, 152, 38, 164, 50, 176, 62, 188, 74, 200, 86, 212, 98, 224, 110, 236, 121, 247, 119, 245, 107, 233, 95, 221, 83, 209, 71, 197, 59, 185, 47, 173, 35, 161, 23, 149, 9, 135)(6, 132, 17, 143, 29, 155, 41, 167, 53, 179, 65, 191, 77, 203, 89, 215, 101, 227, 113, 239, 123, 249, 124, 250, 114, 240, 102, 228, 90, 216, 78, 204, 66, 192, 54, 180, 42, 168, 30, 156, 18, 144)(11, 137, 16, 142, 14, 140, 27, 153, 39, 165, 51, 177, 63, 189, 75, 201, 87, 213, 99, 225, 111, 237, 122, 248, 120, 246, 108, 234, 96, 222, 84, 210, 72, 198, 60, 186, 48, 174, 36, 162, 24, 150)(13, 139, 21, 147, 33, 159, 45, 171, 57, 183, 69, 195, 81, 207, 93, 219, 105, 231, 117, 243, 126, 252, 125, 251, 115, 241, 103, 229, 91, 217, 79, 205, 67, 193, 55, 181, 43, 169, 31, 157, 20, 146)
	L = (1, 128)(2, 132)(3, 135)(4, 127)(5, 140)(6, 142)(7, 131)(8, 147)(9, 143)(10, 150)(11, 129)(12, 146)(13, 130)(14, 144)(15, 152)(16, 139)(17, 134)(18, 138)(19, 157)(20, 133)(21, 137)(22, 136)(23, 159)(24, 155)(25, 160)(26, 156)(27, 141)(28, 158)(29, 149)(30, 145)(31, 153)(32, 168)(33, 148)(34, 167)(35, 151)(36, 171)(37, 173)(38, 154)(39, 169)(40, 177)(41, 162)(42, 165)(43, 164)(44, 166)(45, 161)(46, 183)(47, 179)(48, 163)(49, 186)(50, 181)(51, 180)(52, 188)(53, 172)(54, 176)(55, 170)(56, 193)(57, 174)(58, 175)(59, 195)(60, 191)(61, 196)(62, 192)(63, 178)(64, 194)(65, 185)(66, 182)(67, 189)(68, 204)(69, 184)(70, 203)(71, 187)(72, 207)(73, 209)(74, 190)(75, 205)(76, 213)(77, 198)(78, 201)(79, 200)(80, 202)(81, 197)(82, 219)(83, 215)(84, 199)(85, 222)(86, 217)(87, 216)(88, 224)(89, 208)(90, 212)(91, 206)(92, 229)(93, 210)(94, 211)(95, 231)(96, 227)(97, 232)(98, 228)(99, 214)(100, 230)(101, 221)(102, 218)(103, 225)(104, 240)(105, 220)(106, 239)(107, 223)(108, 243)(109, 245)(110, 226)(111, 241)(112, 248)(113, 234)(114, 237)(115, 236)(116, 238)(117, 233)(118, 252)(119, 249)(120, 235)(121, 251)(122, 250)(123, 244)(124, 247)(125, 242)(126, 246)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.2024
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 126 f = 84
	degree seq :: [ 42^6 ]

E19.2029 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 21})
Quotient :: loop
Aut^+ = C3 x D42 (small group id <126, 13>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-3)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^21 ]
Map:: polytopal non-degenerate
	R = (1, 127, 3, 129)(2, 128, 6, 132)(4, 130, 9, 135)(5, 131, 12, 138)(7, 133, 16, 142)(8, 134, 17, 143)(10, 136, 21, 147)(11, 137, 24, 150)(13, 139, 28, 154)(14, 140, 29, 155)(15, 141, 32, 158)(18, 144, 35, 161)(19, 145, 33, 159)(20, 146, 34, 160)(22, 148, 31, 157)(23, 149, 40, 166)(25, 151, 42, 168)(26, 152, 43, 169)(27, 153, 45, 171)(30, 156, 46, 172)(36, 162, 48, 174)(37, 163, 49, 175)(38, 164, 50, 176)(39, 165, 54, 180)(41, 167, 56, 182)(44, 170, 58, 184)(47, 173, 60, 186)(51, 177, 61, 187)(52, 178, 63, 189)(53, 179, 66, 192)(55, 181, 68, 194)(57, 183, 70, 196)(59, 185, 72, 198)(62, 188, 73, 199)(64, 190, 71, 197)(65, 191, 78, 204)(67, 193, 80, 206)(69, 195, 82, 208)(74, 200, 84, 210)(75, 201, 85, 211)(76, 202, 86, 212)(77, 203, 90, 216)(79, 205, 92, 218)(81, 207, 94, 220)(83, 209, 96, 222)(87, 213, 97, 223)(88, 214, 99, 225)(89, 215, 102, 228)(91, 217, 104, 230)(93, 219, 106, 232)(95, 221, 108, 234)(98, 224, 109, 235)(100, 226, 107, 233)(101, 227, 113, 239)(103, 229, 115, 241)(105, 231, 117, 243)(110, 236, 119, 245)(111, 237, 120, 246)(112, 238, 121, 247)(114, 240, 123, 249)(116, 242, 124, 250)(118, 244, 125, 251)(122, 248, 126, 252)
	L = (1, 128)(2, 131)(3, 133)(4, 127)(5, 137)(6, 139)(7, 141)(8, 129)(9, 145)(10, 130)(11, 149)(12, 151)(13, 153)(14, 132)(15, 157)(16, 154)(17, 155)(18, 134)(19, 162)(20, 135)(21, 163)(22, 136)(23, 165)(24, 144)(25, 146)(26, 138)(27, 147)(28, 168)(29, 169)(30, 140)(31, 173)(32, 171)(33, 142)(34, 143)(35, 172)(36, 176)(37, 177)(38, 148)(39, 179)(40, 156)(41, 150)(42, 161)(43, 182)(44, 152)(45, 160)(46, 184)(47, 185)(48, 158)(49, 159)(50, 188)(51, 189)(52, 164)(53, 191)(54, 170)(55, 166)(56, 194)(57, 167)(58, 196)(59, 197)(60, 175)(61, 174)(62, 200)(63, 201)(64, 178)(65, 203)(66, 183)(67, 180)(68, 206)(69, 181)(70, 208)(71, 209)(72, 187)(73, 186)(74, 212)(75, 213)(76, 190)(77, 215)(78, 195)(79, 192)(80, 218)(81, 193)(82, 220)(83, 221)(84, 198)(85, 199)(86, 224)(87, 225)(88, 202)(89, 227)(90, 207)(91, 204)(92, 230)(93, 205)(94, 232)(95, 233)(96, 211)(97, 210)(98, 236)(99, 237)(100, 214)(101, 238)(102, 219)(103, 216)(104, 241)(105, 217)(106, 243)(107, 244)(108, 223)(109, 222)(110, 247)(111, 248)(112, 226)(113, 231)(114, 228)(115, 249)(116, 229)(117, 250)(118, 240)(119, 234)(120, 235)(121, 242)(122, 239)(123, 252)(124, 251)(125, 246)(126, 245)
	local type(s) :: { ( 6, 21, 6, 21 ) }
Outer automorphisms :: reflexible
Dual of E19.2025
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 63 e = 126 f = 27
	degree seq :: [ 4^63 ]

E19.2030 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D42 (small group id <126, 13>)
Aut   = S3 x D42 (small group id <252, 36>)
|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, Y2^6, (Y3 * Y2^-1)^21 ]
Map::
	R = (1, 127, 2, 128)(3, 129, 7, 133)(4, 130, 9, 135)(5, 131, 11, 137)(6, 132, 13, 139)(8, 134, 12, 138)(10, 136, 14, 140)(15, 141, 23, 149)(16, 142, 25, 151)(17, 143, 24, 150)(18, 144, 26, 152)(19, 145, 27, 153)(20, 146, 29, 155)(21, 147, 28, 154)(22, 148, 30, 156)(31, 157, 37, 163)(32, 158, 38, 164)(33, 159, 39, 165)(34, 160, 40, 166)(35, 161, 41, 167)(36, 162, 42, 168)(43, 169, 49, 175)(44, 170, 50, 176)(45, 171, 51, 177)(46, 172, 52, 178)(47, 173, 58, 184)(48, 174, 57, 183)(53, 179, 79, 205)(54, 180, 80, 206)(55, 181, 82, 208)(56, 182, 83, 209)(59, 185, 84, 210)(60, 186, 85, 211)(61, 187, 81, 207)(62, 188, 86, 212)(63, 189, 87, 213)(64, 190, 88, 214)(65, 191, 90, 216)(66, 192, 89, 215)(67, 193, 91, 217)(68, 194, 92, 218)(69, 195, 93, 219)(70, 196, 94, 220)(71, 197, 95, 221)(72, 198, 96, 222)(73, 199, 97, 223)(74, 200, 98, 224)(75, 201, 99, 225)(76, 202, 100, 226)(77, 203, 101, 227)(78, 204, 102, 228)(103, 229, 109, 235)(104, 230, 110, 236)(105, 231, 111, 237)(106, 232, 112, 238)(107, 233, 113, 239)(108, 234, 114, 240)(115, 241, 126, 252)(116, 242, 124, 250)(117, 243, 125, 251)(118, 244, 123, 249)(119, 245, 121, 247)(120, 246, 122, 248)(253, 379, 255, 381, 260, 386, 269, 395, 262, 388, 256, 382)(254, 380, 257, 383, 264, 390, 273, 399, 266, 392, 258, 384)(259, 385, 267, 393, 276, 402, 270, 396, 261, 387, 268, 394)(263, 389, 271, 397, 280, 406, 274, 400, 265, 391, 272, 398)(275, 401, 283, 409, 278, 404, 285, 411, 277, 403, 284, 410)(279, 405, 286, 412, 282, 408, 288, 414, 281, 407, 287, 413)(289, 415, 295, 421, 291, 417, 297, 423, 290, 416, 296, 422)(292, 418, 298, 424, 294, 420, 300, 426, 293, 419, 299, 425)(301, 427, 331, 457, 303, 429, 333, 459, 302, 428, 332, 458)(304, 430, 334, 460, 309, 435, 342, 468, 310, 436, 335, 461)(305, 431, 336, 462, 313, 439, 338, 464, 306, 432, 337, 463)(307, 433, 339, 465, 317, 443, 341, 467, 308, 434, 340, 466)(311, 437, 343, 469, 314, 440, 345, 471, 312, 438, 344, 470)(315, 441, 346, 472, 318, 444, 348, 474, 316, 442, 347, 473)(319, 445, 349, 475, 321, 447, 351, 477, 320, 446, 350, 476)(322, 448, 352, 478, 324, 450, 354, 480, 323, 449, 353, 479)(325, 451, 355, 481, 327, 453, 357, 483, 326, 452, 356, 482)(328, 454, 358, 484, 330, 456, 360, 486, 329, 455, 359, 485)(361, 487, 378, 504, 363, 489, 377, 503, 362, 488, 376, 502)(364, 490, 375, 501, 366, 492, 374, 500, 365, 491, 373, 499)(367, 493, 371, 497, 369, 495, 370, 496, 368, 494, 372, 498)
	L = (1, 254)(2, 253)(3, 259)(4, 261)(5, 263)(6, 265)(7, 255)(8, 264)(9, 256)(10, 266)(11, 257)(12, 260)(13, 258)(14, 262)(15, 275)(16, 277)(17, 276)(18, 278)(19, 279)(20, 281)(21, 280)(22, 282)(23, 267)(24, 269)(25, 268)(26, 270)(27, 271)(28, 273)(29, 272)(30, 274)(31, 289)(32, 290)(33, 291)(34, 292)(35, 293)(36, 294)(37, 283)(38, 284)(39, 285)(40, 286)(41, 287)(42, 288)(43, 301)(44, 302)(45, 303)(46, 304)(47, 310)(48, 309)(49, 295)(50, 296)(51, 297)(52, 298)(53, 331)(54, 332)(55, 334)(56, 335)(57, 300)(58, 299)(59, 336)(60, 337)(61, 333)(62, 338)(63, 339)(64, 340)(65, 342)(66, 341)(67, 343)(68, 344)(69, 345)(70, 346)(71, 347)(72, 348)(73, 349)(74, 350)(75, 351)(76, 352)(77, 353)(78, 354)(79, 305)(80, 306)(81, 313)(82, 307)(83, 308)(84, 311)(85, 312)(86, 314)(87, 315)(88, 316)(89, 318)(90, 317)(91, 319)(92, 320)(93, 321)(94, 322)(95, 323)(96, 324)(97, 325)(98, 326)(99, 327)(100, 328)(101, 329)(102, 330)(103, 361)(104, 362)(105, 363)(106, 364)(107, 365)(108, 366)(109, 355)(110, 356)(111, 357)(112, 358)(113, 359)(114, 360)(115, 378)(116, 376)(117, 377)(118, 375)(119, 373)(120, 374)(121, 371)(122, 372)(123, 370)(124, 368)(125, 369)(126, 367)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 2, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ) }
Outer automorphisms :: reflexible
Dual of E19.2033
Graph:: bipartite
	v = 84 e = 252 f = 132
	degree seq :: [ 4^63, 12^21 ]

E19.2031 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D42 (small group id <126, 13>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^2, Y2^-1 * Y1^-3 * Y2^-1 * Y1, Y1^6, Y2^21 ]
Map::
	R = (1, 127, 2, 128, 6, 132, 16, 142, 13, 139, 4, 130)(3, 129, 9, 135, 17, 143, 8, 134, 21, 147, 11, 137)(5, 131, 14, 140, 18, 144, 12, 138, 20, 146, 7, 133)(10, 136, 24, 150, 29, 155, 23, 149, 33, 159, 22, 148)(15, 141, 26, 152, 30, 156, 19, 145, 31, 157, 27, 153)(25, 151, 34, 160, 41, 167, 36, 162, 45, 171, 35, 161)(28, 154, 32, 158, 42, 168, 39, 165, 43, 169, 38, 164)(37, 163, 47, 173, 53, 179, 46, 172, 57, 183, 48, 174)(40, 166, 51, 177, 54, 180, 50, 176, 55, 181, 44, 170)(49, 175, 60, 186, 65, 191, 59, 185, 69, 195, 58, 184)(52, 178, 62, 188, 66, 192, 56, 182, 67, 193, 63, 189)(61, 187, 70, 196, 77, 203, 72, 198, 81, 207, 71, 197)(64, 190, 68, 194, 78, 204, 75, 201, 79, 205, 74, 200)(73, 199, 83, 209, 89, 215, 82, 208, 93, 219, 84, 210)(76, 202, 87, 213, 90, 216, 86, 212, 91, 217, 80, 206)(85, 211, 96, 222, 101, 227, 95, 221, 105, 231, 94, 220)(88, 214, 98, 224, 102, 228, 92, 218, 103, 229, 99, 225)(97, 223, 106, 232, 113, 239, 108, 234, 117, 243, 107, 233)(100, 226, 104, 230, 114, 240, 111, 237, 115, 241, 110, 236)(109, 235, 119, 245, 123, 249, 118, 244, 126, 252, 120, 246)(112, 238, 122, 248, 124, 250, 121, 247, 125, 251, 116, 242)(253, 379, 255, 381, 262, 388, 277, 403, 289, 415, 301, 427, 313, 439, 325, 451, 337, 463, 349, 475, 361, 487, 364, 490, 352, 478, 340, 466, 328, 454, 316, 442, 304, 430, 292, 418, 280, 406, 267, 393, 257, 383)(254, 380, 259, 385, 271, 397, 284, 410, 296, 422, 308, 434, 320, 446, 332, 458, 344, 470, 356, 482, 368, 494, 370, 496, 358, 484, 346, 472, 334, 460, 322, 448, 310, 436, 298, 424, 286, 412, 274, 400, 260, 386)(256, 382, 264, 390, 278, 404, 290, 416, 302, 428, 314, 440, 326, 452, 338, 464, 350, 476, 362, 488, 373, 499, 371, 497, 359, 485, 347, 473, 335, 461, 323, 449, 311, 437, 299, 425, 287, 413, 275, 401, 261, 387)(258, 384, 269, 395, 281, 407, 293, 419, 305, 431, 317, 443, 329, 455, 341, 467, 353, 479, 365, 491, 375, 501, 376, 502, 366, 492, 354, 480, 342, 468, 330, 456, 318, 444, 306, 432, 294, 420, 282, 408, 270, 396)(263, 389, 268, 394, 266, 392, 279, 405, 291, 417, 303, 429, 315, 441, 327, 453, 339, 465, 351, 477, 363, 489, 374, 500, 372, 498, 360, 486, 348, 474, 336, 462, 324, 450, 312, 438, 300, 426, 288, 414, 276, 402)(265, 391, 273, 399, 285, 411, 297, 423, 309, 435, 321, 447, 333, 459, 345, 471, 357, 483, 369, 495, 378, 504, 377, 503, 367, 493, 355, 481, 343, 469, 331, 457, 319, 445, 307, 433, 295, 421, 283, 409, 272, 398)
	L = (1, 255)(2, 259)(3, 262)(4, 264)(5, 253)(6, 269)(7, 271)(8, 254)(9, 256)(10, 277)(11, 268)(12, 278)(13, 273)(14, 279)(15, 257)(16, 266)(17, 281)(18, 258)(19, 284)(20, 265)(21, 285)(22, 260)(23, 261)(24, 263)(25, 289)(26, 290)(27, 291)(28, 267)(29, 293)(30, 270)(31, 272)(32, 296)(33, 297)(34, 274)(35, 275)(36, 276)(37, 301)(38, 302)(39, 303)(40, 280)(41, 305)(42, 282)(43, 283)(44, 308)(45, 309)(46, 286)(47, 287)(48, 288)(49, 313)(50, 314)(51, 315)(52, 292)(53, 317)(54, 294)(55, 295)(56, 320)(57, 321)(58, 298)(59, 299)(60, 300)(61, 325)(62, 326)(63, 327)(64, 304)(65, 329)(66, 306)(67, 307)(68, 332)(69, 333)(70, 310)(71, 311)(72, 312)(73, 337)(74, 338)(75, 339)(76, 316)(77, 341)(78, 318)(79, 319)(80, 344)(81, 345)(82, 322)(83, 323)(84, 324)(85, 349)(86, 350)(87, 351)(88, 328)(89, 353)(90, 330)(91, 331)(92, 356)(93, 357)(94, 334)(95, 335)(96, 336)(97, 361)(98, 362)(99, 363)(100, 340)(101, 365)(102, 342)(103, 343)(104, 368)(105, 369)(106, 346)(107, 347)(108, 348)(109, 364)(110, 373)(111, 374)(112, 352)(113, 375)(114, 354)(115, 355)(116, 370)(117, 378)(118, 358)(119, 359)(120, 360)(121, 371)(122, 372)(123, 376)(124, 366)(125, 367)(126, 377)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2032
Graph:: bipartite
	v = 27 e = 252 f = 189
	degree seq :: [ 12^21, 42^6 ]

E19.2032 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D42 (small group id <126, 13>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^3 * Y2)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y1^-1)^21 ]
Map:: polytopal
	R = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)(253, 379, 254, 380)(255, 381, 259, 385)(256, 382, 261, 387)(257, 383, 263, 389)(258, 384, 265, 391)(260, 386, 269, 395)(262, 388, 273, 399)(264, 390, 277, 403)(266, 392, 281, 407)(267, 393, 275, 401)(268, 394, 279, 405)(270, 396, 282, 408)(271, 397, 276, 402)(272, 398, 280, 406)(274, 400, 278, 404)(283, 409, 293, 419)(284, 410, 297, 423)(285, 411, 291, 417)(286, 412, 296, 422)(287, 413, 299, 425)(288, 414, 294, 420)(289, 415, 292, 418)(290, 416, 302, 428)(295, 421, 305, 431)(298, 424, 308, 434)(300, 426, 309, 435)(301, 427, 312, 438)(303, 429, 306, 432)(304, 430, 315, 441)(307, 433, 318, 444)(310, 436, 321, 447)(311, 437, 320, 446)(313, 439, 322, 448)(314, 440, 317, 443)(316, 442, 319, 445)(323, 449, 333, 459)(324, 450, 332, 458)(325, 451, 335, 461)(326, 452, 330, 456)(327, 453, 329, 455)(328, 454, 338, 464)(331, 457, 341, 467)(334, 460, 344, 470)(336, 462, 345, 471)(337, 463, 348, 474)(339, 465, 342, 468)(340, 466, 351, 477)(343, 469, 354, 480)(346, 472, 357, 483)(347, 473, 356, 482)(349, 475, 358, 484)(350, 476, 353, 479)(352, 478, 355, 481)(359, 485, 369, 495)(360, 486, 368, 494)(361, 487, 371, 497)(362, 488, 366, 492)(363, 489, 365, 491)(364, 490, 373, 499)(367, 493, 375, 501)(370, 496, 377, 503)(372, 498, 378, 504)(374, 500, 376, 502)
	L = (1, 255)(2, 257)(3, 260)(4, 253)(5, 264)(6, 254)(7, 267)(8, 270)(9, 271)(10, 256)(11, 275)(12, 278)(13, 279)(14, 258)(15, 283)(16, 259)(17, 285)(18, 287)(19, 288)(20, 261)(21, 289)(22, 262)(23, 291)(24, 263)(25, 293)(26, 295)(27, 296)(28, 265)(29, 297)(30, 266)(31, 273)(32, 268)(33, 272)(34, 269)(35, 301)(36, 302)(37, 303)(38, 274)(39, 281)(40, 276)(41, 280)(42, 277)(43, 307)(44, 308)(45, 309)(46, 282)(47, 284)(48, 286)(49, 313)(50, 314)(51, 315)(52, 290)(53, 292)(54, 294)(55, 319)(56, 320)(57, 321)(58, 298)(59, 299)(60, 300)(61, 325)(62, 326)(63, 327)(64, 304)(65, 305)(66, 306)(67, 331)(68, 332)(69, 333)(70, 310)(71, 311)(72, 312)(73, 337)(74, 338)(75, 339)(76, 316)(77, 317)(78, 318)(79, 343)(80, 344)(81, 345)(82, 322)(83, 323)(84, 324)(85, 349)(86, 350)(87, 351)(88, 328)(89, 329)(90, 330)(91, 355)(92, 356)(93, 357)(94, 334)(95, 335)(96, 336)(97, 361)(98, 362)(99, 363)(100, 340)(101, 341)(102, 342)(103, 367)(104, 368)(105, 369)(106, 346)(107, 347)(108, 348)(109, 364)(110, 373)(111, 374)(112, 352)(113, 353)(114, 354)(115, 370)(116, 377)(117, 378)(118, 358)(119, 359)(120, 360)(121, 372)(122, 371)(123, 365)(124, 366)(125, 376)(126, 375)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 12, 42 ), ( 12, 42, 12, 42 ) }
Outer automorphisms :: reflexible
Dual of E19.2031
Graph:: simple bipartite
	v = 189 e = 252 f = 27
	degree seq :: [ 2^126, 4^63 ]

E19.2033 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D42 (small group id <126, 13>)
Aut   = S3 x D42 (small group id <252, 36>)
|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, (Y1^-1, Y3^-1, Y1^-1), Y1^-1 * Y3 * Y1^-3 * Y3^-1 * Y1^-2, (Y3^-1 * Y1^-1)^6, Y1^21 ]
Map:: polytopal
	R = (1, 127, 2, 128, 5, 131, 11, 137, 23, 149, 39, 165, 53, 179, 65, 191, 77, 203, 89, 215, 101, 227, 112, 238, 100, 226, 88, 214, 76, 202, 64, 190, 52, 178, 38, 164, 22, 148, 10, 136, 4, 130)(3, 129, 7, 133, 15, 141, 31, 157, 47, 173, 59, 185, 71, 197, 83, 209, 95, 221, 107, 233, 118, 244, 114, 240, 102, 228, 93, 219, 79, 205, 66, 192, 57, 183, 41, 167, 24, 150, 18, 144, 8, 134)(6, 132, 13, 139, 27, 153, 21, 147, 37, 163, 51, 177, 63, 189, 75, 201, 87, 213, 99, 225, 111, 237, 122, 248, 113, 239, 105, 231, 91, 217, 78, 204, 69, 195, 55, 181, 40, 166, 30, 156, 14, 140)(9, 135, 19, 145, 36, 162, 50, 176, 62, 188, 74, 200, 86, 212, 98, 224, 110, 236, 121, 247, 116, 242, 103, 229, 90, 216, 81, 207, 67, 193, 54, 180, 44, 170, 26, 152, 12, 138, 25, 151, 20, 146)(16, 142, 28, 154, 42, 168, 35, 161, 46, 172, 58, 184, 70, 196, 82, 208, 94, 220, 106, 232, 117, 243, 124, 250, 125, 251, 120, 246, 109, 235, 96, 222, 85, 211, 73, 199, 60, 186, 49, 175, 33, 159)(17, 143, 29, 155, 43, 169, 56, 182, 68, 194, 80, 206, 92, 218, 104, 230, 115, 241, 123, 249, 126, 252, 119, 245, 108, 234, 97, 223, 84, 210, 72, 198, 61, 187, 48, 174, 32, 158, 45, 171, 34, 160)(253, 379)(254, 380)(255, 381)(256, 382)(257, 383)(258, 384)(259, 385)(260, 386)(261, 387)(262, 388)(263, 389)(264, 390)(265, 391)(266, 392)(267, 393)(268, 394)(269, 395)(270, 396)(271, 397)(272, 398)(273, 399)(274, 400)(275, 401)(276, 402)(277, 403)(278, 404)(279, 405)(280, 406)(281, 407)(282, 408)(283, 409)(284, 410)(285, 411)(286, 412)(287, 413)(288, 414)(289, 415)(290, 416)(291, 417)(292, 418)(293, 419)(294, 420)(295, 421)(296, 422)(297, 423)(298, 424)(299, 425)(300, 426)(301, 427)(302, 428)(303, 429)(304, 430)(305, 431)(306, 432)(307, 433)(308, 434)(309, 435)(310, 436)(311, 437)(312, 438)(313, 439)(314, 440)(315, 441)(316, 442)(317, 443)(318, 444)(319, 445)(320, 446)(321, 447)(322, 448)(323, 449)(324, 450)(325, 451)(326, 452)(327, 453)(328, 454)(329, 455)(330, 456)(331, 457)(332, 458)(333, 459)(334, 460)(335, 461)(336, 462)(337, 463)(338, 464)(339, 465)(340, 466)(341, 467)(342, 468)(343, 469)(344, 470)(345, 471)(346, 472)(347, 473)(348, 474)(349, 475)(350, 476)(351, 477)(352, 478)(353, 479)(354, 480)(355, 481)(356, 482)(357, 483)(358, 484)(359, 485)(360, 486)(361, 487)(362, 488)(363, 489)(364, 490)(365, 491)(366, 492)(367, 493)(368, 494)(369, 495)(370, 496)(371, 497)(372, 498)(373, 499)(374, 500)(375, 501)(376, 502)(377, 503)(378, 504)
	L = (1, 255)(2, 258)(3, 253)(4, 261)(5, 264)(6, 254)(7, 268)(8, 269)(9, 256)(10, 273)(11, 276)(12, 257)(13, 280)(14, 281)(15, 284)(16, 259)(17, 260)(18, 287)(19, 285)(20, 286)(21, 262)(22, 283)(23, 292)(24, 263)(25, 294)(26, 295)(27, 297)(28, 265)(29, 266)(30, 298)(31, 274)(32, 267)(33, 271)(34, 272)(35, 270)(36, 300)(37, 301)(38, 302)(39, 306)(40, 275)(41, 308)(42, 277)(43, 278)(44, 310)(45, 279)(46, 282)(47, 312)(48, 288)(49, 289)(50, 290)(51, 313)(52, 315)(53, 318)(54, 291)(55, 320)(56, 293)(57, 322)(58, 296)(59, 324)(60, 299)(61, 303)(62, 325)(63, 304)(64, 323)(65, 330)(66, 305)(67, 332)(68, 307)(69, 334)(70, 309)(71, 316)(72, 311)(73, 314)(74, 336)(75, 337)(76, 338)(77, 342)(78, 317)(79, 344)(80, 319)(81, 346)(82, 321)(83, 348)(84, 326)(85, 327)(86, 328)(87, 349)(88, 351)(89, 354)(90, 329)(91, 356)(92, 331)(93, 358)(94, 333)(95, 360)(96, 335)(97, 339)(98, 361)(99, 340)(100, 359)(101, 365)(102, 341)(103, 367)(104, 343)(105, 369)(106, 345)(107, 352)(108, 347)(109, 350)(110, 371)(111, 372)(112, 373)(113, 353)(114, 375)(115, 355)(116, 376)(117, 357)(118, 377)(119, 362)(120, 363)(121, 364)(122, 378)(123, 366)(124, 368)(125, 370)(126, 374)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 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 E19.2030
Graph:: simple bipartite
	v = 132 e = 252 f = 84
	degree seq :: [ 2^126, 42^6 ]

E19.2034 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D42 (small group id <126, 13>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^3 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^6, Y2^21 ]
Map::
	R = (1, 127, 2, 128)(3, 129, 7, 133)(4, 130, 9, 135)(5, 131, 11, 137)(6, 132, 13, 139)(8, 134, 17, 143)(10, 136, 21, 147)(12, 138, 25, 151)(14, 140, 29, 155)(15, 141, 23, 149)(16, 142, 27, 153)(18, 144, 30, 156)(19, 145, 24, 150)(20, 146, 28, 154)(22, 148, 26, 152)(31, 157, 41, 167)(32, 158, 45, 171)(33, 159, 39, 165)(34, 160, 44, 170)(35, 161, 47, 173)(36, 162, 42, 168)(37, 163, 40, 166)(38, 164, 50, 176)(43, 169, 53, 179)(46, 172, 56, 182)(48, 174, 57, 183)(49, 175, 60, 186)(51, 177, 54, 180)(52, 178, 63, 189)(55, 181, 66, 192)(58, 184, 69, 195)(59, 185, 68, 194)(61, 187, 70, 196)(62, 188, 65, 191)(64, 190, 67, 193)(71, 197, 81, 207)(72, 198, 80, 206)(73, 199, 83, 209)(74, 200, 78, 204)(75, 201, 77, 203)(76, 202, 86, 212)(79, 205, 89, 215)(82, 208, 92, 218)(84, 210, 93, 219)(85, 211, 96, 222)(87, 213, 90, 216)(88, 214, 99, 225)(91, 217, 102, 228)(94, 220, 105, 231)(95, 221, 104, 230)(97, 223, 106, 232)(98, 224, 101, 227)(100, 226, 103, 229)(107, 233, 117, 243)(108, 234, 116, 242)(109, 235, 119, 245)(110, 236, 114, 240)(111, 237, 113, 239)(112, 238, 121, 247)(115, 241, 123, 249)(118, 244, 125, 251)(120, 246, 126, 252)(122, 248, 124, 250)(253, 379, 255, 381, 260, 386, 270, 396, 287, 413, 301, 427, 313, 439, 325, 451, 337, 463, 349, 475, 361, 487, 364, 490, 352, 478, 340, 466, 328, 454, 316, 442, 304, 430, 290, 416, 274, 400, 262, 388, 256, 382)(254, 380, 257, 383, 264, 390, 278, 404, 295, 421, 307, 433, 319, 445, 331, 457, 343, 469, 355, 481, 367, 493, 370, 496, 358, 484, 346, 472, 334, 460, 322, 448, 310, 436, 298, 424, 282, 408, 266, 392, 258, 384)(259, 385, 267, 393, 283, 409, 273, 399, 289, 415, 303, 429, 315, 441, 327, 453, 339, 465, 351, 477, 363, 489, 374, 500, 371, 497, 359, 485, 347, 473, 335, 461, 323, 449, 311, 437, 299, 425, 284, 410, 268, 394)(261, 387, 271, 397, 288, 414, 302, 428, 314, 440, 326, 452, 338, 464, 350, 476, 362, 488, 373, 499, 372, 498, 360, 486, 348, 474, 336, 462, 324, 450, 312, 438, 300, 426, 286, 412, 269, 395, 285, 411, 272, 398)(263, 389, 275, 401, 291, 417, 281, 407, 297, 423, 309, 435, 321, 447, 333, 459, 345, 471, 357, 483, 369, 495, 378, 504, 375, 501, 365, 491, 353, 479, 341, 467, 329, 455, 317, 443, 305, 431, 292, 418, 276, 402)(265, 391, 279, 405, 296, 422, 308, 434, 320, 446, 332, 458, 344, 470, 356, 482, 368, 494, 377, 503, 376, 502, 366, 492, 354, 480, 342, 468, 330, 456, 318, 444, 306, 432, 294, 420, 277, 403, 293, 419, 280, 406)
	L = (1, 254)(2, 253)(3, 259)(4, 261)(5, 263)(6, 265)(7, 255)(8, 269)(9, 256)(10, 273)(11, 257)(12, 277)(13, 258)(14, 281)(15, 275)(16, 279)(17, 260)(18, 282)(19, 276)(20, 280)(21, 262)(22, 278)(23, 267)(24, 271)(25, 264)(26, 274)(27, 268)(28, 272)(29, 266)(30, 270)(31, 293)(32, 297)(33, 291)(34, 296)(35, 299)(36, 294)(37, 292)(38, 302)(39, 285)(40, 289)(41, 283)(42, 288)(43, 305)(44, 286)(45, 284)(46, 308)(47, 287)(48, 309)(49, 312)(50, 290)(51, 306)(52, 315)(53, 295)(54, 303)(55, 318)(56, 298)(57, 300)(58, 321)(59, 320)(60, 301)(61, 322)(62, 317)(63, 304)(64, 319)(65, 314)(66, 307)(67, 316)(68, 311)(69, 310)(70, 313)(71, 333)(72, 332)(73, 335)(74, 330)(75, 329)(76, 338)(77, 327)(78, 326)(79, 341)(80, 324)(81, 323)(82, 344)(83, 325)(84, 345)(85, 348)(86, 328)(87, 342)(88, 351)(89, 331)(90, 339)(91, 354)(92, 334)(93, 336)(94, 357)(95, 356)(96, 337)(97, 358)(98, 353)(99, 340)(100, 355)(101, 350)(102, 343)(103, 352)(104, 347)(105, 346)(106, 349)(107, 369)(108, 368)(109, 371)(110, 366)(111, 365)(112, 373)(113, 363)(114, 362)(115, 375)(116, 360)(117, 359)(118, 377)(119, 361)(120, 378)(121, 364)(122, 376)(123, 367)(124, 374)(125, 370)(126, 372)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 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 E19.2035
Graph:: bipartite
	v = 69 e = 252 f = 147
	degree seq :: [ 4^63, 42^6 ]

E19.2035 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D42 (small group id <126, 13>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1^3, (Y3^-2 * Y1)^2, (Y3 * Y2^-1)^21 ]
Map:: polytopal
	R = (1, 127, 2, 128, 6, 132, 16, 142, 13, 139, 4, 130)(3, 129, 9, 135, 17, 143, 8, 134, 21, 147, 11, 137)(5, 131, 14, 140, 18, 144, 12, 138, 20, 146, 7, 133)(10, 136, 24, 150, 29, 155, 23, 149, 33, 159, 22, 148)(15, 141, 26, 152, 30, 156, 19, 145, 31, 157, 27, 153)(25, 151, 34, 160, 41, 167, 36, 162, 45, 171, 35, 161)(28, 154, 32, 158, 42, 168, 39, 165, 43, 169, 38, 164)(37, 163, 47, 173, 53, 179, 46, 172, 57, 183, 48, 174)(40, 166, 51, 177, 54, 180, 50, 176, 55, 181, 44, 170)(49, 175, 60, 186, 65, 191, 59, 185, 69, 195, 58, 184)(52, 178, 62, 188, 66, 192, 56, 182, 67, 193, 63, 189)(61, 187, 70, 196, 77, 203, 72, 198, 81, 207, 71, 197)(64, 190, 68, 194, 78, 204, 75, 201, 79, 205, 74, 200)(73, 199, 83, 209, 89, 215, 82, 208, 93, 219, 84, 210)(76, 202, 87, 213, 90, 216, 86, 212, 91, 217, 80, 206)(85, 211, 96, 222, 101, 227, 95, 221, 105, 231, 94, 220)(88, 214, 98, 224, 102, 228, 92, 218, 103, 229, 99, 225)(97, 223, 106, 232, 113, 239, 108, 234, 117, 243, 107, 233)(100, 226, 104, 230, 114, 240, 111, 237, 115, 241, 110, 236)(109, 235, 119, 245, 123, 249, 118, 244, 126, 252, 120, 246)(112, 238, 122, 248, 124, 250, 121, 247, 125, 251, 116, 242)(253, 379)(254, 380)(255, 381)(256, 382)(257, 383)(258, 384)(259, 385)(260, 386)(261, 387)(262, 388)(263, 389)(264, 390)(265, 391)(266, 392)(267, 393)(268, 394)(269, 395)(270, 396)(271, 397)(272, 398)(273, 399)(274, 400)(275, 401)(276, 402)(277, 403)(278, 404)(279, 405)(280, 406)(281, 407)(282, 408)(283, 409)(284, 410)(285, 411)(286, 412)(287, 413)(288, 414)(289, 415)(290, 416)(291, 417)(292, 418)(293, 419)(294, 420)(295, 421)(296, 422)(297, 423)(298, 424)(299, 425)(300, 426)(301, 427)(302, 428)(303, 429)(304, 430)(305, 431)(306, 432)(307, 433)(308, 434)(309, 435)(310, 436)(311, 437)(312, 438)(313, 439)(314, 440)(315, 441)(316, 442)(317, 443)(318, 444)(319, 445)(320, 446)(321, 447)(322, 448)(323, 449)(324, 450)(325, 451)(326, 452)(327, 453)(328, 454)(329, 455)(330, 456)(331, 457)(332, 458)(333, 459)(334, 460)(335, 461)(336, 462)(337, 463)(338, 464)(339, 465)(340, 466)(341, 467)(342, 468)(343, 469)(344, 470)(345, 471)(346, 472)(347, 473)(348, 474)(349, 475)(350, 476)(351, 477)(352, 478)(353, 479)(354, 480)(355, 481)(356, 482)(357, 483)(358, 484)(359, 485)(360, 486)(361, 487)(362, 488)(363, 489)(364, 490)(365, 491)(366, 492)(367, 493)(368, 494)(369, 495)(370, 496)(371, 497)(372, 498)(373, 499)(374, 500)(375, 501)(376, 502)(377, 503)(378, 504)
	L = (1, 255)(2, 259)(3, 262)(4, 264)(5, 253)(6, 269)(7, 271)(8, 254)(9, 256)(10, 277)(11, 268)(12, 278)(13, 273)(14, 279)(15, 257)(16, 266)(17, 281)(18, 258)(19, 284)(20, 265)(21, 285)(22, 260)(23, 261)(24, 263)(25, 289)(26, 290)(27, 291)(28, 267)(29, 293)(30, 270)(31, 272)(32, 296)(33, 297)(34, 274)(35, 275)(36, 276)(37, 301)(38, 302)(39, 303)(40, 280)(41, 305)(42, 282)(43, 283)(44, 308)(45, 309)(46, 286)(47, 287)(48, 288)(49, 313)(50, 314)(51, 315)(52, 292)(53, 317)(54, 294)(55, 295)(56, 320)(57, 321)(58, 298)(59, 299)(60, 300)(61, 325)(62, 326)(63, 327)(64, 304)(65, 329)(66, 306)(67, 307)(68, 332)(69, 333)(70, 310)(71, 311)(72, 312)(73, 337)(74, 338)(75, 339)(76, 316)(77, 341)(78, 318)(79, 319)(80, 344)(81, 345)(82, 322)(83, 323)(84, 324)(85, 349)(86, 350)(87, 351)(88, 328)(89, 353)(90, 330)(91, 331)(92, 356)(93, 357)(94, 334)(95, 335)(96, 336)(97, 361)(98, 362)(99, 363)(100, 340)(101, 365)(102, 342)(103, 343)(104, 368)(105, 369)(106, 346)(107, 347)(108, 348)(109, 364)(110, 373)(111, 374)(112, 352)(113, 375)(114, 354)(115, 355)(116, 370)(117, 378)(118, 358)(119, 359)(120, 360)(121, 371)(122, 372)(123, 376)(124, 366)(125, 367)(126, 377)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E19.2034
Graph:: simple bipartite
	v = 147 e = 252 f = 69
	degree seq :: [ 2^126, 12^21 ]

E19.2036 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = D8 x D18 (small group id <144, 41>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y2 * Y3)^4, (Y3 * Y1)^18 ]
Map:: polytopal non-degenerate
	R = (1, 146, 2, 145)(3, 151, 7, 147)(4, 153, 9, 148)(5, 155, 11, 149)(6, 157, 13, 150)(8, 156, 12, 152)(10, 158, 14, 154)(15, 169, 25, 159)(16, 170, 26, 160)(17, 171, 27, 161)(18, 173, 29, 162)(19, 174, 30, 163)(20, 175, 31, 164)(21, 176, 32, 165)(22, 177, 33, 166)(23, 179, 35, 167)(24, 180, 36, 168)(28, 178, 34, 172)(37, 191, 47, 181)(38, 192, 48, 182)(39, 193, 49, 183)(40, 194, 50, 184)(41, 195, 51, 185)(42, 196, 52, 186)(43, 197, 53, 187)(44, 198, 54, 188)(45, 199, 55, 189)(46, 200, 56, 190)(57, 209, 65, 201)(58, 210, 66, 202)(59, 211, 67, 203)(60, 212, 68, 204)(61, 213, 69, 205)(62, 214, 70, 206)(63, 215, 71, 207)(64, 216, 72, 208)(73, 225, 81, 217)(74, 226, 82, 218)(75, 227, 83, 219)(76, 228, 84, 220)(77, 229, 85, 221)(78, 230, 86, 222)(79, 231, 87, 223)(80, 232, 88, 224)(89, 241, 97, 233)(90, 242, 98, 234)(91, 243, 99, 235)(92, 244, 100, 236)(93, 245, 101, 237)(94, 246, 102, 238)(95, 247, 103, 239)(96, 248, 104, 240)(105, 257, 113, 249)(106, 258, 114, 250)(107, 259, 115, 251)(108, 260, 116, 252)(109, 261, 117, 253)(110, 262, 118, 254)(111, 263, 119, 255)(112, 264, 120, 256)(121, 273, 129, 265)(122, 274, 130, 266)(123, 275, 131, 267)(124, 276, 132, 268)(125, 277, 133, 269)(126, 278, 134, 270)(127, 279, 135, 271)(128, 280, 136, 272)(137, 285, 141, 281)(138, 286, 142, 282)(139, 287, 143, 283)(140, 288, 144, 284)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 28)(21, 33)(24, 34)(25, 37)(26, 39)(29, 38)(30, 40)(31, 42)(32, 44)(35, 43)(36, 45)(41, 50)(46, 55)(47, 57)(48, 59)(49, 58)(51, 60)(52, 61)(53, 63)(54, 62)(56, 64)(65, 73)(66, 75)(67, 74)(68, 76)(69, 77)(70, 79)(71, 78)(72, 80)(81, 89)(82, 91)(83, 90)(84, 92)(85, 93)(86, 95)(87, 94)(88, 96)(97, 105)(98, 107)(99, 106)(100, 108)(101, 109)(102, 111)(103, 110)(104, 112)(113, 121)(114, 123)(115, 122)(116, 124)(117, 125)(118, 127)(119, 126)(120, 128)(129, 137)(130, 139)(131, 138)(132, 140)(133, 141)(134, 143)(135, 142)(136, 144)(145, 148)(146, 150)(147, 152)(149, 156)(151, 160)(153, 159)(154, 163)(155, 165)(157, 164)(158, 168)(161, 172)(162, 174)(166, 178)(167, 180)(169, 182)(170, 181)(171, 184)(173, 185)(175, 187)(176, 186)(177, 189)(179, 190)(183, 194)(188, 199)(191, 202)(192, 201)(193, 204)(195, 203)(196, 206)(197, 205)(198, 208)(200, 207)(209, 218)(210, 217)(211, 220)(212, 219)(213, 222)(214, 221)(215, 224)(216, 223)(225, 234)(226, 233)(227, 236)(228, 235)(229, 238)(230, 237)(231, 240)(232, 239)(241, 250)(242, 249)(243, 252)(244, 251)(245, 254)(246, 253)(247, 256)(248, 255)(257, 266)(258, 265)(259, 268)(260, 267)(261, 270)(262, 269)(263, 272)(264, 271)(273, 282)(274, 281)(275, 284)(276, 283)(277, 286)(278, 285)(279, 288)(280, 287)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2038
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.2037 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C4 x D18) : C2 (small group id <144, 44>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y2 * Y3)^4, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 146, 2, 145)(3, 151, 7, 147)(4, 153, 9, 148)(5, 155, 11, 149)(6, 157, 13, 150)(8, 156, 12, 152)(10, 158, 14, 154)(15, 169, 25, 159)(16, 170, 26, 160)(17, 171, 27, 161)(18, 173, 29, 162)(19, 174, 30, 163)(20, 175, 31, 164)(21, 176, 32, 165)(22, 177, 33, 166)(23, 179, 35, 167)(24, 180, 36, 168)(28, 178, 34, 172)(37, 191, 47, 181)(38, 192, 48, 182)(39, 193, 49, 183)(40, 194, 50, 184)(41, 195, 51, 185)(42, 196, 52, 186)(43, 197, 53, 187)(44, 198, 54, 188)(45, 199, 55, 189)(46, 200, 56, 190)(57, 209, 65, 201)(58, 210, 66, 202)(59, 211, 67, 203)(60, 212, 68, 204)(61, 213, 69, 205)(62, 214, 70, 206)(63, 215, 71, 207)(64, 216, 72, 208)(73, 225, 81, 217)(74, 226, 82, 218)(75, 227, 83, 219)(76, 228, 84, 220)(77, 229, 85, 221)(78, 230, 86, 222)(79, 231, 87, 223)(80, 232, 88, 224)(89, 241, 97, 233)(90, 242, 98, 234)(91, 243, 99, 235)(92, 244, 100, 236)(93, 245, 101, 237)(94, 246, 102, 238)(95, 247, 103, 239)(96, 248, 104, 240)(105, 257, 113, 249)(106, 258, 114, 250)(107, 259, 115, 251)(108, 260, 116, 252)(109, 261, 117, 253)(110, 262, 118, 254)(111, 263, 119, 255)(112, 264, 120, 256)(121, 273, 129, 265)(122, 274, 130, 266)(123, 275, 131, 267)(124, 276, 132, 268)(125, 277, 133, 269)(126, 278, 134, 270)(127, 279, 135, 271)(128, 280, 136, 272)(137, 288, 144, 281)(138, 287, 143, 282)(139, 286, 142, 283)(140, 285, 141, 284)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 28)(21, 33)(24, 34)(25, 37)(26, 39)(29, 38)(30, 40)(31, 42)(32, 44)(35, 43)(36, 45)(41, 50)(46, 55)(47, 57)(48, 59)(49, 58)(51, 60)(52, 61)(53, 63)(54, 62)(56, 64)(65, 73)(66, 75)(67, 74)(68, 76)(69, 77)(70, 79)(71, 78)(72, 80)(81, 89)(82, 91)(83, 90)(84, 92)(85, 93)(86, 95)(87, 94)(88, 96)(97, 105)(98, 107)(99, 106)(100, 108)(101, 109)(102, 111)(103, 110)(104, 112)(113, 121)(114, 123)(115, 122)(116, 124)(117, 125)(118, 127)(119, 126)(120, 128)(129, 137)(130, 139)(131, 138)(132, 140)(133, 141)(134, 143)(135, 142)(136, 144)(145, 148)(146, 150)(147, 152)(149, 156)(151, 160)(153, 159)(154, 163)(155, 165)(157, 164)(158, 168)(161, 172)(162, 174)(166, 178)(167, 180)(169, 182)(170, 181)(171, 184)(173, 185)(175, 187)(176, 186)(177, 189)(179, 190)(183, 194)(188, 199)(191, 202)(192, 201)(193, 204)(195, 203)(196, 206)(197, 205)(198, 208)(200, 207)(209, 218)(210, 217)(211, 220)(212, 219)(213, 222)(214, 221)(215, 224)(216, 223)(225, 234)(226, 233)(227, 236)(228, 235)(229, 238)(230, 237)(231, 240)(232, 239)(241, 250)(242, 249)(243, 252)(244, 251)(245, 254)(246, 253)(247, 256)(248, 255)(257, 266)(258, 265)(259, 268)(260, 267)(261, 270)(262, 269)(263, 272)(264, 271)(273, 282)(274, 281)(275, 284)(276, 283)(277, 286)(278, 285)(279, 288)(280, 287)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2039
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.2038 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = D8 x D18 (small group id <144, 41>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 146, 2, 150, 6, 149, 5, 145)(3, 153, 9, 161, 17, 155, 11, 147)(4, 156, 12, 162, 18, 158, 14, 148)(7, 163, 19, 159, 15, 165, 21, 151)(8, 166, 22, 160, 16, 168, 24, 152)(10, 164, 20, 157, 13, 167, 23, 154)(25, 177, 33, 171, 27, 178, 34, 169)(26, 179, 35, 172, 28, 180, 36, 170)(29, 181, 37, 175, 31, 182, 38, 173)(30, 183, 39, 176, 32, 184, 40, 174)(41, 193, 49, 187, 43, 194, 50, 185)(42, 195, 51, 188, 44, 196, 52, 186)(45, 197, 53, 191, 47, 198, 54, 189)(46, 199, 55, 192, 48, 200, 56, 190)(57, 209, 65, 203, 59, 210, 66, 201)(58, 211, 67, 204, 60, 212, 68, 202)(61, 213, 69, 207, 63, 214, 70, 205)(62, 215, 71, 208, 64, 216, 72, 206)(73, 225, 81, 219, 75, 226, 82, 217)(74, 227, 83, 220, 76, 228, 84, 218)(77, 229, 85, 223, 79, 230, 86, 221)(78, 231, 87, 224, 80, 232, 88, 222)(89, 241, 97, 235, 91, 242, 98, 233)(90, 243, 99, 236, 92, 244, 100, 234)(93, 245, 101, 239, 95, 246, 102, 237)(94, 247, 103, 240, 96, 248, 104, 238)(105, 257, 113, 251, 107, 258, 114, 249)(106, 259, 115, 252, 108, 260, 116, 250)(109, 261, 117, 255, 111, 262, 118, 253)(110, 263, 119, 256, 112, 264, 120, 254)(121, 273, 129, 267, 123, 274, 130, 265)(122, 275, 131, 268, 124, 276, 132, 266)(125, 277, 133, 271, 127, 278, 134, 269)(126, 279, 135, 272, 128, 280, 136, 270)(137, 287, 143, 283, 139, 285, 141, 281)(138, 288, 144, 284, 140, 286, 142, 282)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 27)(12, 28)(14, 26)(16, 20)(19, 29)(21, 31)(22, 32)(24, 30)(33, 41)(34, 43)(35, 44)(36, 42)(37, 45)(38, 47)(39, 48)(40, 46)(49, 57)(50, 59)(51, 60)(52, 58)(53, 61)(54, 63)(55, 64)(56, 62)(65, 73)(66, 75)(67, 76)(68, 74)(69, 77)(70, 79)(71, 80)(72, 78)(81, 89)(82, 91)(83, 92)(84, 90)(85, 93)(86, 95)(87, 96)(88, 94)(97, 105)(98, 107)(99, 108)(100, 106)(101, 109)(102, 111)(103, 112)(104, 110)(113, 121)(114, 123)(115, 124)(116, 122)(117, 125)(118, 127)(119, 128)(120, 126)(129, 137)(130, 139)(131, 140)(132, 138)(133, 141)(134, 143)(135, 144)(136, 142)(145, 148)(146, 152)(147, 154)(149, 160)(150, 162)(151, 164)(153, 170)(155, 172)(156, 169)(157, 161)(158, 171)(159, 167)(163, 174)(165, 176)(166, 173)(168, 175)(177, 186)(178, 188)(179, 185)(180, 187)(181, 190)(182, 192)(183, 189)(184, 191)(193, 202)(194, 204)(195, 201)(196, 203)(197, 206)(198, 208)(199, 205)(200, 207)(209, 218)(210, 220)(211, 217)(212, 219)(213, 222)(214, 224)(215, 221)(216, 223)(225, 234)(226, 236)(227, 233)(228, 235)(229, 238)(230, 240)(231, 237)(232, 239)(241, 250)(242, 252)(243, 249)(244, 251)(245, 254)(246, 256)(247, 253)(248, 255)(257, 266)(258, 268)(259, 265)(260, 267)(261, 270)(262, 272)(263, 269)(264, 271)(273, 282)(274, 284)(275, 281)(276, 283)(277, 286)(278, 288)(279, 285)(280, 287)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2036
Transitivity :: VT+ AT
Graph:: bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.2039 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C4 x D18) : C2 (small group id <144, 44>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 146, 2, 150, 6, 149, 5, 145)(3, 153, 9, 161, 17, 155, 11, 147)(4, 156, 12, 162, 18, 158, 14, 148)(7, 163, 19, 159, 15, 165, 21, 151)(8, 166, 22, 160, 16, 168, 24, 152)(10, 164, 20, 157, 13, 167, 23, 154)(25, 177, 33, 171, 27, 178, 34, 169)(26, 179, 35, 172, 28, 180, 36, 170)(29, 181, 37, 175, 31, 182, 38, 173)(30, 183, 39, 176, 32, 184, 40, 174)(41, 193, 49, 187, 43, 194, 50, 185)(42, 195, 51, 188, 44, 196, 52, 186)(45, 197, 53, 191, 47, 198, 54, 189)(46, 199, 55, 192, 48, 200, 56, 190)(57, 209, 65, 203, 59, 210, 66, 201)(58, 211, 67, 204, 60, 212, 68, 202)(61, 213, 69, 207, 63, 214, 70, 205)(62, 215, 71, 208, 64, 216, 72, 206)(73, 225, 81, 219, 75, 226, 82, 217)(74, 227, 83, 220, 76, 228, 84, 218)(77, 229, 85, 223, 79, 230, 86, 221)(78, 231, 87, 224, 80, 232, 88, 222)(89, 241, 97, 235, 91, 242, 98, 233)(90, 243, 99, 236, 92, 244, 100, 234)(93, 245, 101, 239, 95, 246, 102, 237)(94, 247, 103, 240, 96, 248, 104, 238)(105, 257, 113, 251, 107, 258, 114, 249)(106, 259, 115, 252, 108, 260, 116, 250)(109, 261, 117, 255, 111, 262, 118, 253)(110, 263, 119, 256, 112, 264, 120, 254)(121, 273, 129, 267, 123, 274, 130, 265)(122, 275, 131, 268, 124, 276, 132, 266)(125, 277, 133, 271, 127, 278, 134, 269)(126, 279, 135, 272, 128, 280, 136, 270)(137, 285, 141, 283, 139, 287, 143, 281)(138, 286, 142, 284, 140, 288, 144, 282)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 27)(12, 28)(14, 26)(16, 20)(19, 29)(21, 31)(22, 32)(24, 30)(33, 41)(34, 43)(35, 44)(36, 42)(37, 45)(38, 47)(39, 48)(40, 46)(49, 57)(50, 59)(51, 60)(52, 58)(53, 61)(54, 63)(55, 64)(56, 62)(65, 73)(66, 75)(67, 76)(68, 74)(69, 77)(70, 79)(71, 80)(72, 78)(81, 89)(82, 91)(83, 92)(84, 90)(85, 93)(86, 95)(87, 96)(88, 94)(97, 105)(98, 107)(99, 108)(100, 106)(101, 109)(102, 111)(103, 112)(104, 110)(113, 121)(114, 123)(115, 124)(116, 122)(117, 125)(118, 127)(119, 128)(120, 126)(129, 137)(130, 139)(131, 140)(132, 138)(133, 141)(134, 143)(135, 144)(136, 142)(145, 148)(146, 152)(147, 154)(149, 160)(150, 162)(151, 164)(153, 170)(155, 172)(156, 169)(157, 161)(158, 171)(159, 167)(163, 174)(165, 176)(166, 173)(168, 175)(177, 186)(178, 188)(179, 185)(180, 187)(181, 190)(182, 192)(183, 189)(184, 191)(193, 202)(194, 204)(195, 201)(196, 203)(197, 206)(198, 208)(199, 205)(200, 207)(209, 218)(210, 220)(211, 217)(212, 219)(213, 222)(214, 224)(215, 221)(216, 223)(225, 234)(226, 236)(227, 233)(228, 235)(229, 238)(230, 240)(231, 237)(232, 239)(241, 250)(242, 252)(243, 249)(244, 251)(245, 254)(246, 256)(247, 253)(248, 255)(257, 266)(258, 268)(259, 265)(260, 267)(261, 270)(262, 272)(263, 269)(264, 271)(273, 282)(274, 284)(275, 281)(276, 283)(277, 286)(278, 288)(279, 285)(280, 287)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2037
Transitivity :: VT+ AT
Graph:: bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.2040 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = D8 x D18 (small group id <144, 41>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, (Y3 * Y2)^18 ]
Map:: polytopal
	R = (1, 145, 4, 148)(2, 146, 6, 150)(3, 147, 8, 152)(5, 149, 12, 156)(7, 151, 16, 160)(9, 153, 18, 162)(10, 154, 19, 163)(11, 155, 21, 165)(13, 157, 23, 167)(14, 158, 24, 168)(15, 159, 25, 169)(17, 161, 27, 171)(20, 164, 31, 175)(22, 166, 33, 177)(26, 170, 37, 181)(28, 172, 39, 183)(29, 173, 40, 184)(30, 174, 41, 185)(32, 176, 42, 186)(34, 178, 44, 188)(35, 179, 45, 189)(36, 180, 46, 190)(38, 182, 47, 191)(43, 187, 52, 196)(48, 192, 57, 201)(49, 193, 58, 202)(50, 194, 59, 203)(51, 195, 60, 204)(53, 197, 61, 205)(54, 198, 62, 206)(55, 199, 63, 207)(56, 200, 64, 208)(65, 209, 73, 217)(66, 210, 74, 218)(67, 211, 75, 219)(68, 212, 76, 220)(69, 213, 77, 221)(70, 214, 78, 222)(71, 215, 79, 223)(72, 216, 80, 224)(81, 225, 89, 233)(82, 226, 90, 234)(83, 227, 91, 235)(84, 228, 92, 236)(85, 229, 93, 237)(86, 230, 94, 238)(87, 231, 95, 239)(88, 232, 96, 240)(97, 241, 105, 249)(98, 242, 106, 250)(99, 243, 107, 251)(100, 244, 108, 252)(101, 245, 109, 253)(102, 246, 110, 254)(103, 247, 111, 255)(104, 248, 112, 256)(113, 257, 121, 265)(114, 258, 122, 266)(115, 259, 123, 267)(116, 260, 124, 268)(117, 261, 125, 269)(118, 262, 126, 270)(119, 263, 127, 271)(120, 264, 128, 272)(129, 273, 137, 281)(130, 274, 138, 282)(131, 275, 139, 283)(132, 276, 140, 284)(133, 277, 141, 285)(134, 278, 142, 286)(135, 279, 143, 287)(136, 280, 144, 288)(289, 290)(291, 295)(292, 297)(293, 299)(294, 301)(296, 305)(298, 304)(300, 310)(302, 309)(303, 308)(306, 316)(307, 318)(311, 322)(312, 324)(313, 320)(314, 319)(315, 323)(317, 321)(325, 331)(326, 330)(327, 336)(328, 338)(329, 337)(332, 341)(333, 343)(334, 342)(335, 344)(339, 340)(345, 353)(346, 355)(347, 354)(348, 356)(349, 357)(350, 359)(351, 358)(352, 360)(361, 369)(362, 371)(363, 370)(364, 372)(365, 373)(366, 375)(367, 374)(368, 376)(377, 385)(378, 387)(379, 386)(380, 388)(381, 389)(382, 391)(383, 390)(384, 392)(393, 401)(394, 403)(395, 402)(396, 404)(397, 405)(398, 407)(399, 406)(400, 408)(409, 417)(410, 419)(411, 418)(412, 420)(413, 421)(414, 423)(415, 422)(416, 424)(425, 429)(426, 431)(427, 430)(428, 432)(433, 435)(434, 437)(436, 442)(438, 446)(439, 447)(440, 445)(441, 444)(443, 452)(448, 458)(449, 457)(450, 461)(451, 460)(453, 464)(454, 463)(455, 467)(456, 466)(459, 470)(462, 469)(465, 475)(468, 474)(471, 481)(472, 480)(473, 483)(476, 486)(477, 485)(478, 488)(479, 487)(482, 484)(489, 498)(490, 497)(491, 500)(492, 499)(493, 502)(494, 501)(495, 504)(496, 503)(505, 514)(506, 513)(507, 516)(508, 515)(509, 518)(510, 517)(511, 520)(512, 519)(521, 530)(522, 529)(523, 532)(524, 531)(525, 534)(526, 533)(527, 536)(528, 535)(537, 546)(538, 545)(539, 548)(540, 547)(541, 550)(542, 549)(543, 552)(544, 551)(553, 562)(554, 561)(555, 564)(556, 563)(557, 566)(558, 565)(559, 568)(560, 567)(569, 574)(570, 573)(571, 576)(572, 575)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2046
Graph:: simple bipartite
	v = 216 e = 288 f = 36
	degree seq :: [ 2^144, 4^72 ]

E19.2041 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C4 x D18) : C2 (small group id <144, 44>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: polytopal
	R = (1, 145, 4, 148)(2, 146, 6, 150)(3, 147, 8, 152)(5, 149, 12, 156)(7, 151, 16, 160)(9, 153, 18, 162)(10, 154, 19, 163)(11, 155, 21, 165)(13, 157, 23, 167)(14, 158, 24, 168)(15, 159, 25, 169)(17, 161, 27, 171)(20, 164, 31, 175)(22, 166, 33, 177)(26, 170, 37, 181)(28, 172, 39, 183)(29, 173, 40, 184)(30, 174, 41, 185)(32, 176, 42, 186)(34, 178, 44, 188)(35, 179, 45, 189)(36, 180, 46, 190)(38, 182, 47, 191)(43, 187, 52, 196)(48, 192, 57, 201)(49, 193, 58, 202)(50, 194, 59, 203)(51, 195, 60, 204)(53, 197, 61, 205)(54, 198, 62, 206)(55, 199, 63, 207)(56, 200, 64, 208)(65, 209, 73, 217)(66, 210, 74, 218)(67, 211, 75, 219)(68, 212, 76, 220)(69, 213, 77, 221)(70, 214, 78, 222)(71, 215, 79, 223)(72, 216, 80, 224)(81, 225, 89, 233)(82, 226, 90, 234)(83, 227, 91, 235)(84, 228, 92, 236)(85, 229, 93, 237)(86, 230, 94, 238)(87, 231, 95, 239)(88, 232, 96, 240)(97, 241, 105, 249)(98, 242, 106, 250)(99, 243, 107, 251)(100, 244, 108, 252)(101, 245, 109, 253)(102, 246, 110, 254)(103, 247, 111, 255)(104, 248, 112, 256)(113, 257, 121, 265)(114, 258, 122, 266)(115, 259, 123, 267)(116, 260, 124, 268)(117, 261, 125, 269)(118, 262, 126, 270)(119, 263, 127, 271)(120, 264, 128, 272)(129, 273, 137, 281)(130, 274, 138, 282)(131, 275, 139, 283)(132, 276, 140, 284)(133, 277, 141, 285)(134, 278, 142, 286)(135, 279, 143, 287)(136, 280, 144, 288)(289, 290)(291, 295)(292, 297)(293, 299)(294, 301)(296, 305)(298, 304)(300, 310)(302, 309)(303, 308)(306, 316)(307, 318)(311, 322)(312, 324)(313, 320)(314, 319)(315, 323)(317, 321)(325, 331)(326, 330)(327, 336)(328, 338)(329, 337)(332, 341)(333, 343)(334, 342)(335, 344)(339, 340)(345, 353)(346, 355)(347, 354)(348, 356)(349, 357)(350, 359)(351, 358)(352, 360)(361, 369)(362, 371)(363, 370)(364, 372)(365, 373)(366, 375)(367, 374)(368, 376)(377, 385)(378, 387)(379, 386)(380, 388)(381, 389)(382, 391)(383, 390)(384, 392)(393, 401)(394, 403)(395, 402)(396, 404)(397, 405)(398, 407)(399, 406)(400, 408)(409, 417)(410, 419)(411, 418)(412, 420)(413, 421)(414, 423)(415, 422)(416, 424)(425, 432)(426, 430)(427, 431)(428, 429)(433, 435)(434, 437)(436, 442)(438, 446)(439, 447)(440, 445)(441, 444)(443, 452)(448, 458)(449, 457)(450, 461)(451, 460)(453, 464)(454, 463)(455, 467)(456, 466)(459, 470)(462, 469)(465, 475)(468, 474)(471, 481)(472, 480)(473, 483)(476, 486)(477, 485)(478, 488)(479, 487)(482, 484)(489, 498)(490, 497)(491, 500)(492, 499)(493, 502)(494, 501)(495, 504)(496, 503)(505, 514)(506, 513)(507, 516)(508, 515)(509, 518)(510, 517)(511, 520)(512, 519)(521, 530)(522, 529)(523, 532)(524, 531)(525, 534)(526, 533)(527, 536)(528, 535)(537, 546)(538, 545)(539, 548)(540, 547)(541, 550)(542, 549)(543, 552)(544, 551)(553, 562)(554, 561)(555, 564)(556, 563)(557, 566)(558, 565)(559, 568)(560, 567)(569, 575)(570, 576)(571, 573)(572, 574)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2047
Graph:: simple bipartite
	v = 216 e = 288 f = 36
	degree seq :: [ 2^144, 4^72 ]

E19.2042 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = D8 x D18 (small group id <144, 41>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 145, 4, 148, 14, 158, 5, 149)(2, 146, 7, 151, 22, 166, 8, 152)(3, 147, 10, 154, 17, 161, 11, 155)(6, 150, 18, 162, 9, 153, 19, 163)(12, 156, 25, 169, 15, 159, 26, 170)(13, 157, 27, 171, 16, 160, 28, 172)(20, 164, 29, 173, 23, 167, 30, 174)(21, 165, 31, 175, 24, 168, 32, 176)(33, 177, 41, 185, 35, 179, 42, 186)(34, 178, 43, 187, 36, 180, 44, 188)(37, 181, 45, 189, 39, 183, 46, 190)(38, 182, 47, 191, 40, 184, 48, 192)(49, 193, 57, 201, 51, 195, 58, 202)(50, 194, 59, 203, 52, 196, 60, 204)(53, 197, 61, 205, 55, 199, 62, 206)(54, 198, 63, 207, 56, 200, 64, 208)(65, 209, 73, 217, 67, 211, 74, 218)(66, 210, 75, 219, 68, 212, 76, 220)(69, 213, 77, 221, 71, 215, 78, 222)(70, 214, 79, 223, 72, 216, 80, 224)(81, 225, 89, 233, 83, 227, 90, 234)(82, 226, 91, 235, 84, 228, 92, 236)(85, 229, 93, 237, 87, 231, 94, 238)(86, 230, 95, 239, 88, 232, 96, 240)(97, 241, 105, 249, 99, 243, 106, 250)(98, 242, 107, 251, 100, 244, 108, 252)(101, 245, 109, 253, 103, 247, 110, 254)(102, 246, 111, 255, 104, 248, 112, 256)(113, 257, 121, 265, 115, 259, 122, 266)(114, 258, 123, 267, 116, 260, 124, 268)(117, 261, 125, 269, 119, 263, 126, 270)(118, 262, 127, 271, 120, 264, 128, 272)(129, 273, 137, 281, 131, 275, 138, 282)(130, 274, 139, 283, 132, 276, 140, 284)(133, 277, 141, 285, 135, 279, 142, 286)(134, 278, 143, 287, 136, 280, 144, 288)(289, 290)(291, 297)(292, 300)(293, 303)(294, 305)(295, 308)(296, 311)(298, 312)(299, 309)(301, 307)(302, 310)(304, 306)(313, 321)(314, 323)(315, 324)(316, 322)(317, 325)(318, 327)(319, 328)(320, 326)(329, 337)(330, 339)(331, 340)(332, 338)(333, 341)(334, 343)(335, 344)(336, 342)(345, 353)(346, 355)(347, 356)(348, 354)(349, 357)(350, 359)(351, 360)(352, 358)(361, 369)(362, 371)(363, 372)(364, 370)(365, 373)(366, 375)(367, 376)(368, 374)(377, 385)(378, 387)(379, 388)(380, 386)(381, 389)(382, 391)(383, 392)(384, 390)(393, 401)(394, 403)(395, 404)(396, 402)(397, 405)(398, 407)(399, 408)(400, 406)(409, 417)(410, 419)(411, 420)(412, 418)(413, 421)(414, 423)(415, 424)(416, 422)(425, 430)(426, 429)(427, 431)(428, 432)(433, 435)(434, 438)(436, 445)(437, 448)(439, 453)(440, 456)(441, 454)(442, 452)(443, 455)(444, 450)(446, 449)(447, 451)(457, 466)(458, 468)(459, 465)(460, 467)(461, 470)(462, 472)(463, 469)(464, 471)(473, 482)(474, 484)(475, 481)(476, 483)(477, 486)(478, 488)(479, 485)(480, 487)(489, 498)(490, 500)(491, 497)(492, 499)(493, 502)(494, 504)(495, 501)(496, 503)(505, 514)(506, 516)(507, 513)(508, 515)(509, 518)(510, 520)(511, 517)(512, 519)(521, 530)(522, 532)(523, 529)(524, 531)(525, 534)(526, 536)(527, 533)(528, 535)(537, 546)(538, 548)(539, 545)(540, 547)(541, 550)(542, 552)(543, 549)(544, 551)(553, 562)(554, 564)(555, 561)(556, 563)(557, 566)(558, 568)(559, 565)(560, 567)(569, 576)(570, 575)(571, 574)(572, 573)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2044
Graph:: simple bipartite
	v = 180 e = 288 f = 72
	degree seq :: [ 2^144, 8^36 ]

E19.2043 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C4 x D18) : C2 (small group id <144, 44>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 145, 4, 148, 14, 158, 5, 149)(2, 146, 7, 151, 22, 166, 8, 152)(3, 147, 10, 154, 17, 161, 11, 155)(6, 150, 18, 162, 9, 153, 19, 163)(12, 156, 25, 169, 15, 159, 26, 170)(13, 157, 27, 171, 16, 160, 28, 172)(20, 164, 29, 173, 23, 167, 30, 174)(21, 165, 31, 175, 24, 168, 32, 176)(33, 177, 41, 185, 35, 179, 42, 186)(34, 178, 43, 187, 36, 180, 44, 188)(37, 181, 45, 189, 39, 183, 46, 190)(38, 182, 47, 191, 40, 184, 48, 192)(49, 193, 57, 201, 51, 195, 58, 202)(50, 194, 59, 203, 52, 196, 60, 204)(53, 197, 61, 205, 55, 199, 62, 206)(54, 198, 63, 207, 56, 200, 64, 208)(65, 209, 73, 217, 67, 211, 74, 218)(66, 210, 75, 219, 68, 212, 76, 220)(69, 213, 77, 221, 71, 215, 78, 222)(70, 214, 79, 223, 72, 216, 80, 224)(81, 225, 89, 233, 83, 227, 90, 234)(82, 226, 91, 235, 84, 228, 92, 236)(85, 229, 93, 237, 87, 231, 94, 238)(86, 230, 95, 239, 88, 232, 96, 240)(97, 241, 105, 249, 99, 243, 106, 250)(98, 242, 107, 251, 100, 244, 108, 252)(101, 245, 109, 253, 103, 247, 110, 254)(102, 246, 111, 255, 104, 248, 112, 256)(113, 257, 121, 265, 115, 259, 122, 266)(114, 258, 123, 267, 116, 260, 124, 268)(117, 261, 125, 269, 119, 263, 126, 270)(118, 262, 127, 271, 120, 264, 128, 272)(129, 273, 137, 281, 131, 275, 138, 282)(130, 274, 139, 283, 132, 276, 140, 284)(133, 277, 141, 285, 135, 279, 142, 286)(134, 278, 143, 287, 136, 280, 144, 288)(289, 290)(291, 297)(292, 300)(293, 303)(294, 305)(295, 308)(296, 311)(298, 312)(299, 309)(301, 307)(302, 310)(304, 306)(313, 321)(314, 323)(315, 324)(316, 322)(317, 325)(318, 327)(319, 328)(320, 326)(329, 337)(330, 339)(331, 340)(332, 338)(333, 341)(334, 343)(335, 344)(336, 342)(345, 353)(346, 355)(347, 356)(348, 354)(349, 357)(350, 359)(351, 360)(352, 358)(361, 369)(362, 371)(363, 372)(364, 370)(365, 373)(366, 375)(367, 376)(368, 374)(377, 385)(378, 387)(379, 388)(380, 386)(381, 389)(382, 391)(383, 392)(384, 390)(393, 401)(394, 403)(395, 404)(396, 402)(397, 405)(398, 407)(399, 408)(400, 406)(409, 417)(410, 419)(411, 420)(412, 418)(413, 421)(414, 423)(415, 424)(416, 422)(425, 429)(426, 430)(427, 432)(428, 431)(433, 435)(434, 438)(436, 445)(437, 448)(439, 453)(440, 456)(441, 454)(442, 452)(443, 455)(444, 450)(446, 449)(447, 451)(457, 466)(458, 468)(459, 465)(460, 467)(461, 470)(462, 472)(463, 469)(464, 471)(473, 482)(474, 484)(475, 481)(476, 483)(477, 486)(478, 488)(479, 485)(480, 487)(489, 498)(490, 500)(491, 497)(492, 499)(493, 502)(494, 504)(495, 501)(496, 503)(505, 514)(506, 516)(507, 513)(508, 515)(509, 518)(510, 520)(511, 517)(512, 519)(521, 530)(522, 532)(523, 529)(524, 531)(525, 534)(526, 536)(527, 533)(528, 535)(537, 546)(538, 548)(539, 545)(540, 547)(541, 550)(542, 552)(543, 549)(544, 551)(553, 562)(554, 564)(555, 561)(556, 563)(557, 566)(558, 568)(559, 565)(560, 567)(569, 575)(570, 576)(571, 573)(572, 574)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2045
Graph:: simple bipartite
	v = 180 e = 288 f = 72
	degree seq :: [ 2^144, 8^36 ]

E19.2044 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = D8 x D18 (small group id <144, 41>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, (Y3 * Y2)^18 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436)(2, 146, 290, 434, 6, 150, 294, 438)(3, 147, 291, 435, 8, 152, 296, 440)(5, 149, 293, 437, 12, 156, 300, 444)(7, 151, 295, 439, 16, 160, 304, 448)(9, 153, 297, 441, 18, 162, 306, 450)(10, 154, 298, 442, 19, 163, 307, 451)(11, 155, 299, 443, 21, 165, 309, 453)(13, 157, 301, 445, 23, 167, 311, 455)(14, 158, 302, 446, 24, 168, 312, 456)(15, 159, 303, 447, 25, 169, 313, 457)(17, 161, 305, 449, 27, 171, 315, 459)(20, 164, 308, 452, 31, 175, 319, 463)(22, 166, 310, 454, 33, 177, 321, 465)(26, 170, 314, 458, 37, 181, 325, 469)(28, 172, 316, 460, 39, 183, 327, 471)(29, 173, 317, 461, 40, 184, 328, 472)(30, 174, 318, 462, 41, 185, 329, 473)(32, 176, 320, 464, 42, 186, 330, 474)(34, 178, 322, 466, 44, 188, 332, 476)(35, 179, 323, 467, 45, 189, 333, 477)(36, 180, 324, 468, 46, 190, 334, 478)(38, 182, 326, 470, 47, 191, 335, 479)(43, 187, 331, 475, 52, 196, 340, 484)(48, 192, 336, 480, 57, 201, 345, 489)(49, 193, 337, 481, 58, 202, 346, 490)(50, 194, 338, 482, 59, 203, 347, 491)(51, 195, 339, 483, 60, 204, 348, 492)(53, 197, 341, 485, 61, 205, 349, 493)(54, 198, 342, 486, 62, 206, 350, 494)(55, 199, 343, 487, 63, 207, 351, 495)(56, 200, 344, 488, 64, 208, 352, 496)(65, 209, 353, 497, 73, 217, 361, 505)(66, 210, 354, 498, 74, 218, 362, 506)(67, 211, 355, 499, 75, 219, 363, 507)(68, 212, 356, 500, 76, 220, 364, 508)(69, 213, 357, 501, 77, 221, 365, 509)(70, 214, 358, 502, 78, 222, 366, 510)(71, 215, 359, 503, 79, 223, 367, 511)(72, 216, 360, 504, 80, 224, 368, 512)(81, 225, 369, 513, 89, 233, 377, 521)(82, 226, 370, 514, 90, 234, 378, 522)(83, 227, 371, 515, 91, 235, 379, 523)(84, 228, 372, 516, 92, 236, 380, 524)(85, 229, 373, 517, 93, 237, 381, 525)(86, 230, 374, 518, 94, 238, 382, 526)(87, 231, 375, 519, 95, 239, 383, 527)(88, 232, 376, 520, 96, 240, 384, 528)(97, 241, 385, 529, 105, 249, 393, 537)(98, 242, 386, 530, 106, 250, 394, 538)(99, 243, 387, 531, 107, 251, 395, 539)(100, 244, 388, 532, 108, 252, 396, 540)(101, 245, 389, 533, 109, 253, 397, 541)(102, 246, 390, 534, 110, 254, 398, 542)(103, 247, 391, 535, 111, 255, 399, 543)(104, 248, 392, 536, 112, 256, 400, 544)(113, 257, 401, 545, 121, 265, 409, 553)(114, 258, 402, 546, 122, 266, 410, 554)(115, 259, 403, 547, 123, 267, 411, 555)(116, 260, 404, 548, 124, 268, 412, 556)(117, 261, 405, 549, 125, 269, 413, 557)(118, 262, 406, 550, 126, 270, 414, 558)(119, 263, 407, 551, 127, 271, 415, 559)(120, 264, 408, 552, 128, 272, 416, 560)(129, 273, 417, 561, 137, 281, 425, 569)(130, 274, 418, 562, 138, 282, 426, 570)(131, 275, 419, 563, 139, 283, 427, 571)(132, 276, 420, 564, 140, 284, 428, 572)(133, 277, 421, 565, 141, 285, 429, 573)(134, 278, 422, 566, 142, 286, 430, 574)(135, 279, 423, 567, 143, 287, 431, 575)(136, 280, 424, 568, 144, 288, 432, 576)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 161)(9, 148)(10, 160)(11, 149)(12, 166)(13, 150)(14, 165)(15, 164)(16, 154)(17, 152)(18, 172)(19, 174)(20, 159)(21, 158)(22, 156)(23, 178)(24, 180)(25, 176)(26, 175)(27, 179)(28, 162)(29, 177)(30, 163)(31, 170)(32, 169)(33, 173)(34, 167)(35, 171)(36, 168)(37, 187)(38, 186)(39, 192)(40, 194)(41, 193)(42, 182)(43, 181)(44, 197)(45, 199)(46, 198)(47, 200)(48, 183)(49, 185)(50, 184)(51, 196)(52, 195)(53, 188)(54, 190)(55, 189)(56, 191)(57, 209)(58, 211)(59, 210)(60, 212)(61, 213)(62, 215)(63, 214)(64, 216)(65, 201)(66, 203)(67, 202)(68, 204)(69, 205)(70, 207)(71, 206)(72, 208)(73, 225)(74, 227)(75, 226)(76, 228)(77, 229)(78, 231)(79, 230)(80, 232)(81, 217)(82, 219)(83, 218)(84, 220)(85, 221)(86, 223)(87, 222)(88, 224)(89, 241)(90, 243)(91, 242)(92, 244)(93, 245)(94, 247)(95, 246)(96, 248)(97, 233)(98, 235)(99, 234)(100, 236)(101, 237)(102, 239)(103, 238)(104, 240)(105, 257)(106, 259)(107, 258)(108, 260)(109, 261)(110, 263)(111, 262)(112, 264)(113, 249)(114, 251)(115, 250)(116, 252)(117, 253)(118, 255)(119, 254)(120, 256)(121, 273)(122, 275)(123, 274)(124, 276)(125, 277)(126, 279)(127, 278)(128, 280)(129, 265)(130, 267)(131, 266)(132, 268)(133, 269)(134, 271)(135, 270)(136, 272)(137, 285)(138, 287)(139, 286)(140, 288)(141, 281)(142, 283)(143, 282)(144, 284)(289, 435)(290, 437)(291, 433)(292, 442)(293, 434)(294, 446)(295, 447)(296, 445)(297, 444)(298, 436)(299, 452)(300, 441)(301, 440)(302, 438)(303, 439)(304, 458)(305, 457)(306, 461)(307, 460)(308, 443)(309, 464)(310, 463)(311, 467)(312, 466)(313, 449)(314, 448)(315, 470)(316, 451)(317, 450)(318, 469)(319, 454)(320, 453)(321, 475)(322, 456)(323, 455)(324, 474)(325, 462)(326, 459)(327, 481)(328, 480)(329, 483)(330, 468)(331, 465)(332, 486)(333, 485)(334, 488)(335, 487)(336, 472)(337, 471)(338, 484)(339, 473)(340, 482)(341, 477)(342, 476)(343, 479)(344, 478)(345, 498)(346, 497)(347, 500)(348, 499)(349, 502)(350, 501)(351, 504)(352, 503)(353, 490)(354, 489)(355, 492)(356, 491)(357, 494)(358, 493)(359, 496)(360, 495)(361, 514)(362, 513)(363, 516)(364, 515)(365, 518)(366, 517)(367, 520)(368, 519)(369, 506)(370, 505)(371, 508)(372, 507)(373, 510)(374, 509)(375, 512)(376, 511)(377, 530)(378, 529)(379, 532)(380, 531)(381, 534)(382, 533)(383, 536)(384, 535)(385, 522)(386, 521)(387, 524)(388, 523)(389, 526)(390, 525)(391, 528)(392, 527)(393, 546)(394, 545)(395, 548)(396, 547)(397, 550)(398, 549)(399, 552)(400, 551)(401, 538)(402, 537)(403, 540)(404, 539)(405, 542)(406, 541)(407, 544)(408, 543)(409, 562)(410, 561)(411, 564)(412, 563)(413, 566)(414, 565)(415, 568)(416, 567)(417, 554)(418, 553)(419, 556)(420, 555)(421, 558)(422, 557)(423, 560)(424, 559)(425, 574)(426, 573)(427, 576)(428, 575)(429, 570)(430, 569)(431, 572)(432, 571)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2042
Transitivity :: VT+
Graph:: bipartite
	v = 72 e = 288 f = 180
	degree seq :: [ 8^72 ]

E19.2045 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C4 x D18) : C2 (small group id <144, 44>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436)(2, 146, 290, 434, 6, 150, 294, 438)(3, 147, 291, 435, 8, 152, 296, 440)(5, 149, 293, 437, 12, 156, 300, 444)(7, 151, 295, 439, 16, 160, 304, 448)(9, 153, 297, 441, 18, 162, 306, 450)(10, 154, 298, 442, 19, 163, 307, 451)(11, 155, 299, 443, 21, 165, 309, 453)(13, 157, 301, 445, 23, 167, 311, 455)(14, 158, 302, 446, 24, 168, 312, 456)(15, 159, 303, 447, 25, 169, 313, 457)(17, 161, 305, 449, 27, 171, 315, 459)(20, 164, 308, 452, 31, 175, 319, 463)(22, 166, 310, 454, 33, 177, 321, 465)(26, 170, 314, 458, 37, 181, 325, 469)(28, 172, 316, 460, 39, 183, 327, 471)(29, 173, 317, 461, 40, 184, 328, 472)(30, 174, 318, 462, 41, 185, 329, 473)(32, 176, 320, 464, 42, 186, 330, 474)(34, 178, 322, 466, 44, 188, 332, 476)(35, 179, 323, 467, 45, 189, 333, 477)(36, 180, 324, 468, 46, 190, 334, 478)(38, 182, 326, 470, 47, 191, 335, 479)(43, 187, 331, 475, 52, 196, 340, 484)(48, 192, 336, 480, 57, 201, 345, 489)(49, 193, 337, 481, 58, 202, 346, 490)(50, 194, 338, 482, 59, 203, 347, 491)(51, 195, 339, 483, 60, 204, 348, 492)(53, 197, 341, 485, 61, 205, 349, 493)(54, 198, 342, 486, 62, 206, 350, 494)(55, 199, 343, 487, 63, 207, 351, 495)(56, 200, 344, 488, 64, 208, 352, 496)(65, 209, 353, 497, 73, 217, 361, 505)(66, 210, 354, 498, 74, 218, 362, 506)(67, 211, 355, 499, 75, 219, 363, 507)(68, 212, 356, 500, 76, 220, 364, 508)(69, 213, 357, 501, 77, 221, 365, 509)(70, 214, 358, 502, 78, 222, 366, 510)(71, 215, 359, 503, 79, 223, 367, 511)(72, 216, 360, 504, 80, 224, 368, 512)(81, 225, 369, 513, 89, 233, 377, 521)(82, 226, 370, 514, 90, 234, 378, 522)(83, 227, 371, 515, 91, 235, 379, 523)(84, 228, 372, 516, 92, 236, 380, 524)(85, 229, 373, 517, 93, 237, 381, 525)(86, 230, 374, 518, 94, 238, 382, 526)(87, 231, 375, 519, 95, 239, 383, 527)(88, 232, 376, 520, 96, 240, 384, 528)(97, 241, 385, 529, 105, 249, 393, 537)(98, 242, 386, 530, 106, 250, 394, 538)(99, 243, 387, 531, 107, 251, 395, 539)(100, 244, 388, 532, 108, 252, 396, 540)(101, 245, 389, 533, 109, 253, 397, 541)(102, 246, 390, 534, 110, 254, 398, 542)(103, 247, 391, 535, 111, 255, 399, 543)(104, 248, 392, 536, 112, 256, 400, 544)(113, 257, 401, 545, 121, 265, 409, 553)(114, 258, 402, 546, 122, 266, 410, 554)(115, 259, 403, 547, 123, 267, 411, 555)(116, 260, 404, 548, 124, 268, 412, 556)(117, 261, 405, 549, 125, 269, 413, 557)(118, 262, 406, 550, 126, 270, 414, 558)(119, 263, 407, 551, 127, 271, 415, 559)(120, 264, 408, 552, 128, 272, 416, 560)(129, 273, 417, 561, 137, 281, 425, 569)(130, 274, 418, 562, 138, 282, 426, 570)(131, 275, 419, 563, 139, 283, 427, 571)(132, 276, 420, 564, 140, 284, 428, 572)(133, 277, 421, 565, 141, 285, 429, 573)(134, 278, 422, 566, 142, 286, 430, 574)(135, 279, 423, 567, 143, 287, 431, 575)(136, 280, 424, 568, 144, 288, 432, 576)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 161)(9, 148)(10, 160)(11, 149)(12, 166)(13, 150)(14, 165)(15, 164)(16, 154)(17, 152)(18, 172)(19, 174)(20, 159)(21, 158)(22, 156)(23, 178)(24, 180)(25, 176)(26, 175)(27, 179)(28, 162)(29, 177)(30, 163)(31, 170)(32, 169)(33, 173)(34, 167)(35, 171)(36, 168)(37, 187)(38, 186)(39, 192)(40, 194)(41, 193)(42, 182)(43, 181)(44, 197)(45, 199)(46, 198)(47, 200)(48, 183)(49, 185)(50, 184)(51, 196)(52, 195)(53, 188)(54, 190)(55, 189)(56, 191)(57, 209)(58, 211)(59, 210)(60, 212)(61, 213)(62, 215)(63, 214)(64, 216)(65, 201)(66, 203)(67, 202)(68, 204)(69, 205)(70, 207)(71, 206)(72, 208)(73, 225)(74, 227)(75, 226)(76, 228)(77, 229)(78, 231)(79, 230)(80, 232)(81, 217)(82, 219)(83, 218)(84, 220)(85, 221)(86, 223)(87, 222)(88, 224)(89, 241)(90, 243)(91, 242)(92, 244)(93, 245)(94, 247)(95, 246)(96, 248)(97, 233)(98, 235)(99, 234)(100, 236)(101, 237)(102, 239)(103, 238)(104, 240)(105, 257)(106, 259)(107, 258)(108, 260)(109, 261)(110, 263)(111, 262)(112, 264)(113, 249)(114, 251)(115, 250)(116, 252)(117, 253)(118, 255)(119, 254)(120, 256)(121, 273)(122, 275)(123, 274)(124, 276)(125, 277)(126, 279)(127, 278)(128, 280)(129, 265)(130, 267)(131, 266)(132, 268)(133, 269)(134, 271)(135, 270)(136, 272)(137, 288)(138, 286)(139, 287)(140, 285)(141, 284)(142, 282)(143, 283)(144, 281)(289, 435)(290, 437)(291, 433)(292, 442)(293, 434)(294, 446)(295, 447)(296, 445)(297, 444)(298, 436)(299, 452)(300, 441)(301, 440)(302, 438)(303, 439)(304, 458)(305, 457)(306, 461)(307, 460)(308, 443)(309, 464)(310, 463)(311, 467)(312, 466)(313, 449)(314, 448)(315, 470)(316, 451)(317, 450)(318, 469)(319, 454)(320, 453)(321, 475)(322, 456)(323, 455)(324, 474)(325, 462)(326, 459)(327, 481)(328, 480)(329, 483)(330, 468)(331, 465)(332, 486)(333, 485)(334, 488)(335, 487)(336, 472)(337, 471)(338, 484)(339, 473)(340, 482)(341, 477)(342, 476)(343, 479)(344, 478)(345, 498)(346, 497)(347, 500)(348, 499)(349, 502)(350, 501)(351, 504)(352, 503)(353, 490)(354, 489)(355, 492)(356, 491)(357, 494)(358, 493)(359, 496)(360, 495)(361, 514)(362, 513)(363, 516)(364, 515)(365, 518)(366, 517)(367, 520)(368, 519)(369, 506)(370, 505)(371, 508)(372, 507)(373, 510)(374, 509)(375, 512)(376, 511)(377, 530)(378, 529)(379, 532)(380, 531)(381, 534)(382, 533)(383, 536)(384, 535)(385, 522)(386, 521)(387, 524)(388, 523)(389, 526)(390, 525)(391, 528)(392, 527)(393, 546)(394, 545)(395, 548)(396, 547)(397, 550)(398, 549)(399, 552)(400, 551)(401, 538)(402, 537)(403, 540)(404, 539)(405, 542)(406, 541)(407, 544)(408, 543)(409, 562)(410, 561)(411, 564)(412, 563)(413, 566)(414, 565)(415, 568)(416, 567)(417, 554)(418, 553)(419, 556)(420, 555)(421, 558)(422, 557)(423, 560)(424, 559)(425, 575)(426, 576)(427, 573)(428, 574)(429, 571)(430, 572)(431, 569)(432, 570)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2043
Transitivity :: VT+
Graph:: bipartite
	v = 72 e = 288 f = 180
	degree seq :: [ 8^72 ]

E19.2046 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = D8 x D18 (small group id <144, 41>)
Aut   = $<288, 120>$ (small group id <288, 120>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436, 14, 158, 302, 446, 5, 149, 293, 437)(2, 146, 290, 434, 7, 151, 295, 439, 22, 166, 310, 454, 8, 152, 296, 440)(3, 147, 291, 435, 10, 154, 298, 442, 17, 161, 305, 449, 11, 155, 299, 443)(6, 150, 294, 438, 18, 162, 306, 450, 9, 153, 297, 441, 19, 163, 307, 451)(12, 156, 300, 444, 25, 169, 313, 457, 15, 159, 303, 447, 26, 170, 314, 458)(13, 157, 301, 445, 27, 171, 315, 459, 16, 160, 304, 448, 28, 172, 316, 460)(20, 164, 308, 452, 29, 173, 317, 461, 23, 167, 311, 455, 30, 174, 318, 462)(21, 165, 309, 453, 31, 175, 319, 463, 24, 168, 312, 456, 32, 176, 320, 464)(33, 177, 321, 465, 41, 185, 329, 473, 35, 179, 323, 467, 42, 186, 330, 474)(34, 178, 322, 466, 43, 187, 331, 475, 36, 180, 324, 468, 44, 188, 332, 476)(37, 181, 325, 469, 45, 189, 333, 477, 39, 183, 327, 471, 46, 190, 334, 478)(38, 182, 326, 470, 47, 191, 335, 479, 40, 184, 328, 472, 48, 192, 336, 480)(49, 193, 337, 481, 57, 201, 345, 489, 51, 195, 339, 483, 58, 202, 346, 490)(50, 194, 338, 482, 59, 203, 347, 491, 52, 196, 340, 484, 60, 204, 348, 492)(53, 197, 341, 485, 61, 205, 349, 493, 55, 199, 343, 487, 62, 206, 350, 494)(54, 198, 342, 486, 63, 207, 351, 495, 56, 200, 344, 488, 64, 208, 352, 496)(65, 209, 353, 497, 73, 217, 361, 505, 67, 211, 355, 499, 74, 218, 362, 506)(66, 210, 354, 498, 75, 219, 363, 507, 68, 212, 356, 500, 76, 220, 364, 508)(69, 213, 357, 501, 77, 221, 365, 509, 71, 215, 359, 503, 78, 222, 366, 510)(70, 214, 358, 502, 79, 223, 367, 511, 72, 216, 360, 504, 80, 224, 368, 512)(81, 225, 369, 513, 89, 233, 377, 521, 83, 227, 371, 515, 90, 234, 378, 522)(82, 226, 370, 514, 91, 235, 379, 523, 84, 228, 372, 516, 92, 236, 380, 524)(85, 229, 373, 517, 93, 237, 381, 525, 87, 231, 375, 519, 94, 238, 382, 526)(86, 230, 374, 518, 95, 239, 383, 527, 88, 232, 376, 520, 96, 240, 384, 528)(97, 241, 385, 529, 105, 249, 393, 537, 99, 243, 387, 531, 106, 250, 394, 538)(98, 242, 386, 530, 107, 251, 395, 539, 100, 244, 388, 532, 108, 252, 396, 540)(101, 245, 389, 533, 109, 253, 397, 541, 103, 247, 391, 535, 110, 254, 398, 542)(102, 246, 390, 534, 111, 255, 399, 543, 104, 248, 392, 536, 112, 256, 400, 544)(113, 257, 401, 545, 121, 265, 409, 553, 115, 259, 403, 547, 122, 266, 410, 554)(114, 258, 402, 546, 123, 267, 411, 555, 116, 260, 404, 548, 124, 268, 412, 556)(117, 261, 405, 549, 125, 269, 413, 557, 119, 263, 407, 551, 126, 270, 414, 558)(118, 262, 406, 550, 127, 271, 415, 559, 120, 264, 408, 552, 128, 272, 416, 560)(129, 273, 417, 561, 137, 281, 425, 569, 131, 275, 419, 563, 138, 282, 426, 570)(130, 274, 418, 562, 139, 283, 427, 571, 132, 276, 420, 564, 140, 284, 428, 572)(133, 277, 421, 565, 141, 285, 429, 573, 135, 279, 423, 567, 142, 286, 430, 574)(134, 278, 422, 566, 143, 287, 431, 575, 136, 280, 424, 568, 144, 288, 432, 576)
	L = (1, 146)(2, 145)(3, 153)(4, 156)(5, 159)(6, 161)(7, 164)(8, 167)(9, 147)(10, 168)(11, 165)(12, 148)(13, 163)(14, 166)(15, 149)(16, 162)(17, 150)(18, 160)(19, 157)(20, 151)(21, 155)(22, 158)(23, 152)(24, 154)(25, 177)(26, 179)(27, 180)(28, 178)(29, 181)(30, 183)(31, 184)(32, 182)(33, 169)(34, 172)(35, 170)(36, 171)(37, 173)(38, 176)(39, 174)(40, 175)(41, 193)(42, 195)(43, 196)(44, 194)(45, 197)(46, 199)(47, 200)(48, 198)(49, 185)(50, 188)(51, 186)(52, 187)(53, 189)(54, 192)(55, 190)(56, 191)(57, 209)(58, 211)(59, 212)(60, 210)(61, 213)(62, 215)(63, 216)(64, 214)(65, 201)(66, 204)(67, 202)(68, 203)(69, 205)(70, 208)(71, 206)(72, 207)(73, 225)(74, 227)(75, 228)(76, 226)(77, 229)(78, 231)(79, 232)(80, 230)(81, 217)(82, 220)(83, 218)(84, 219)(85, 221)(86, 224)(87, 222)(88, 223)(89, 241)(90, 243)(91, 244)(92, 242)(93, 245)(94, 247)(95, 248)(96, 246)(97, 233)(98, 236)(99, 234)(100, 235)(101, 237)(102, 240)(103, 238)(104, 239)(105, 257)(106, 259)(107, 260)(108, 258)(109, 261)(110, 263)(111, 264)(112, 262)(113, 249)(114, 252)(115, 250)(116, 251)(117, 253)(118, 256)(119, 254)(120, 255)(121, 273)(122, 275)(123, 276)(124, 274)(125, 277)(126, 279)(127, 280)(128, 278)(129, 265)(130, 268)(131, 266)(132, 267)(133, 269)(134, 272)(135, 270)(136, 271)(137, 286)(138, 285)(139, 287)(140, 288)(141, 282)(142, 281)(143, 283)(144, 284)(289, 435)(290, 438)(291, 433)(292, 445)(293, 448)(294, 434)(295, 453)(296, 456)(297, 454)(298, 452)(299, 455)(300, 450)(301, 436)(302, 449)(303, 451)(304, 437)(305, 446)(306, 444)(307, 447)(308, 442)(309, 439)(310, 441)(311, 443)(312, 440)(313, 466)(314, 468)(315, 465)(316, 467)(317, 470)(318, 472)(319, 469)(320, 471)(321, 459)(322, 457)(323, 460)(324, 458)(325, 463)(326, 461)(327, 464)(328, 462)(329, 482)(330, 484)(331, 481)(332, 483)(333, 486)(334, 488)(335, 485)(336, 487)(337, 475)(338, 473)(339, 476)(340, 474)(341, 479)(342, 477)(343, 480)(344, 478)(345, 498)(346, 500)(347, 497)(348, 499)(349, 502)(350, 504)(351, 501)(352, 503)(353, 491)(354, 489)(355, 492)(356, 490)(357, 495)(358, 493)(359, 496)(360, 494)(361, 514)(362, 516)(363, 513)(364, 515)(365, 518)(366, 520)(367, 517)(368, 519)(369, 507)(370, 505)(371, 508)(372, 506)(373, 511)(374, 509)(375, 512)(376, 510)(377, 530)(378, 532)(379, 529)(380, 531)(381, 534)(382, 536)(383, 533)(384, 535)(385, 523)(386, 521)(387, 524)(388, 522)(389, 527)(390, 525)(391, 528)(392, 526)(393, 546)(394, 548)(395, 545)(396, 547)(397, 550)(398, 552)(399, 549)(400, 551)(401, 539)(402, 537)(403, 540)(404, 538)(405, 543)(406, 541)(407, 544)(408, 542)(409, 562)(410, 564)(411, 561)(412, 563)(413, 566)(414, 568)(415, 565)(416, 567)(417, 555)(418, 553)(419, 556)(420, 554)(421, 559)(422, 557)(423, 560)(424, 558)(425, 576)(426, 575)(427, 574)(428, 573)(429, 572)(430, 571)(431, 570)(432, 569)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2040
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 288 f = 216
	degree seq :: [ 16^36 ]

E19.2047 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C4 x D18) : C2 (small group id <144, 44>)
Aut   = $<288, 124>$ (small group id <288, 124>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436, 14, 158, 302, 446, 5, 149, 293, 437)(2, 146, 290, 434, 7, 151, 295, 439, 22, 166, 310, 454, 8, 152, 296, 440)(3, 147, 291, 435, 10, 154, 298, 442, 17, 161, 305, 449, 11, 155, 299, 443)(6, 150, 294, 438, 18, 162, 306, 450, 9, 153, 297, 441, 19, 163, 307, 451)(12, 156, 300, 444, 25, 169, 313, 457, 15, 159, 303, 447, 26, 170, 314, 458)(13, 157, 301, 445, 27, 171, 315, 459, 16, 160, 304, 448, 28, 172, 316, 460)(20, 164, 308, 452, 29, 173, 317, 461, 23, 167, 311, 455, 30, 174, 318, 462)(21, 165, 309, 453, 31, 175, 319, 463, 24, 168, 312, 456, 32, 176, 320, 464)(33, 177, 321, 465, 41, 185, 329, 473, 35, 179, 323, 467, 42, 186, 330, 474)(34, 178, 322, 466, 43, 187, 331, 475, 36, 180, 324, 468, 44, 188, 332, 476)(37, 181, 325, 469, 45, 189, 333, 477, 39, 183, 327, 471, 46, 190, 334, 478)(38, 182, 326, 470, 47, 191, 335, 479, 40, 184, 328, 472, 48, 192, 336, 480)(49, 193, 337, 481, 57, 201, 345, 489, 51, 195, 339, 483, 58, 202, 346, 490)(50, 194, 338, 482, 59, 203, 347, 491, 52, 196, 340, 484, 60, 204, 348, 492)(53, 197, 341, 485, 61, 205, 349, 493, 55, 199, 343, 487, 62, 206, 350, 494)(54, 198, 342, 486, 63, 207, 351, 495, 56, 200, 344, 488, 64, 208, 352, 496)(65, 209, 353, 497, 73, 217, 361, 505, 67, 211, 355, 499, 74, 218, 362, 506)(66, 210, 354, 498, 75, 219, 363, 507, 68, 212, 356, 500, 76, 220, 364, 508)(69, 213, 357, 501, 77, 221, 365, 509, 71, 215, 359, 503, 78, 222, 366, 510)(70, 214, 358, 502, 79, 223, 367, 511, 72, 216, 360, 504, 80, 224, 368, 512)(81, 225, 369, 513, 89, 233, 377, 521, 83, 227, 371, 515, 90, 234, 378, 522)(82, 226, 370, 514, 91, 235, 379, 523, 84, 228, 372, 516, 92, 236, 380, 524)(85, 229, 373, 517, 93, 237, 381, 525, 87, 231, 375, 519, 94, 238, 382, 526)(86, 230, 374, 518, 95, 239, 383, 527, 88, 232, 376, 520, 96, 240, 384, 528)(97, 241, 385, 529, 105, 249, 393, 537, 99, 243, 387, 531, 106, 250, 394, 538)(98, 242, 386, 530, 107, 251, 395, 539, 100, 244, 388, 532, 108, 252, 396, 540)(101, 245, 389, 533, 109, 253, 397, 541, 103, 247, 391, 535, 110, 254, 398, 542)(102, 246, 390, 534, 111, 255, 399, 543, 104, 248, 392, 536, 112, 256, 400, 544)(113, 257, 401, 545, 121, 265, 409, 553, 115, 259, 403, 547, 122, 266, 410, 554)(114, 258, 402, 546, 123, 267, 411, 555, 116, 260, 404, 548, 124, 268, 412, 556)(117, 261, 405, 549, 125, 269, 413, 557, 119, 263, 407, 551, 126, 270, 414, 558)(118, 262, 406, 550, 127, 271, 415, 559, 120, 264, 408, 552, 128, 272, 416, 560)(129, 273, 417, 561, 137, 281, 425, 569, 131, 275, 419, 563, 138, 282, 426, 570)(130, 274, 418, 562, 139, 283, 427, 571, 132, 276, 420, 564, 140, 284, 428, 572)(133, 277, 421, 565, 141, 285, 429, 573, 135, 279, 423, 567, 142, 286, 430, 574)(134, 278, 422, 566, 143, 287, 431, 575, 136, 280, 424, 568, 144, 288, 432, 576)
	L = (1, 146)(2, 145)(3, 153)(4, 156)(5, 159)(6, 161)(7, 164)(8, 167)(9, 147)(10, 168)(11, 165)(12, 148)(13, 163)(14, 166)(15, 149)(16, 162)(17, 150)(18, 160)(19, 157)(20, 151)(21, 155)(22, 158)(23, 152)(24, 154)(25, 177)(26, 179)(27, 180)(28, 178)(29, 181)(30, 183)(31, 184)(32, 182)(33, 169)(34, 172)(35, 170)(36, 171)(37, 173)(38, 176)(39, 174)(40, 175)(41, 193)(42, 195)(43, 196)(44, 194)(45, 197)(46, 199)(47, 200)(48, 198)(49, 185)(50, 188)(51, 186)(52, 187)(53, 189)(54, 192)(55, 190)(56, 191)(57, 209)(58, 211)(59, 212)(60, 210)(61, 213)(62, 215)(63, 216)(64, 214)(65, 201)(66, 204)(67, 202)(68, 203)(69, 205)(70, 208)(71, 206)(72, 207)(73, 225)(74, 227)(75, 228)(76, 226)(77, 229)(78, 231)(79, 232)(80, 230)(81, 217)(82, 220)(83, 218)(84, 219)(85, 221)(86, 224)(87, 222)(88, 223)(89, 241)(90, 243)(91, 244)(92, 242)(93, 245)(94, 247)(95, 248)(96, 246)(97, 233)(98, 236)(99, 234)(100, 235)(101, 237)(102, 240)(103, 238)(104, 239)(105, 257)(106, 259)(107, 260)(108, 258)(109, 261)(110, 263)(111, 264)(112, 262)(113, 249)(114, 252)(115, 250)(116, 251)(117, 253)(118, 256)(119, 254)(120, 255)(121, 273)(122, 275)(123, 276)(124, 274)(125, 277)(126, 279)(127, 280)(128, 278)(129, 265)(130, 268)(131, 266)(132, 267)(133, 269)(134, 272)(135, 270)(136, 271)(137, 285)(138, 286)(139, 288)(140, 287)(141, 281)(142, 282)(143, 284)(144, 283)(289, 435)(290, 438)(291, 433)(292, 445)(293, 448)(294, 434)(295, 453)(296, 456)(297, 454)(298, 452)(299, 455)(300, 450)(301, 436)(302, 449)(303, 451)(304, 437)(305, 446)(306, 444)(307, 447)(308, 442)(309, 439)(310, 441)(311, 443)(312, 440)(313, 466)(314, 468)(315, 465)(316, 467)(317, 470)(318, 472)(319, 469)(320, 471)(321, 459)(322, 457)(323, 460)(324, 458)(325, 463)(326, 461)(327, 464)(328, 462)(329, 482)(330, 484)(331, 481)(332, 483)(333, 486)(334, 488)(335, 485)(336, 487)(337, 475)(338, 473)(339, 476)(340, 474)(341, 479)(342, 477)(343, 480)(344, 478)(345, 498)(346, 500)(347, 497)(348, 499)(349, 502)(350, 504)(351, 501)(352, 503)(353, 491)(354, 489)(355, 492)(356, 490)(357, 495)(358, 493)(359, 496)(360, 494)(361, 514)(362, 516)(363, 513)(364, 515)(365, 518)(366, 520)(367, 517)(368, 519)(369, 507)(370, 505)(371, 508)(372, 506)(373, 511)(374, 509)(375, 512)(376, 510)(377, 530)(378, 532)(379, 529)(380, 531)(381, 534)(382, 536)(383, 533)(384, 535)(385, 523)(386, 521)(387, 524)(388, 522)(389, 527)(390, 525)(391, 528)(392, 526)(393, 546)(394, 548)(395, 545)(396, 547)(397, 550)(398, 552)(399, 549)(400, 551)(401, 539)(402, 537)(403, 540)(404, 538)(405, 543)(406, 541)(407, 544)(408, 542)(409, 562)(410, 564)(411, 561)(412, 563)(413, 566)(414, 568)(415, 565)(416, 567)(417, 555)(418, 553)(419, 556)(420, 554)(421, 559)(422, 557)(423, 560)(424, 558)(425, 575)(426, 576)(427, 573)(428, 574)(429, 571)(430, 572)(431, 569)(432, 570)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2041
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 288 f = 216
	degree seq :: [ 16^36 ]

E19.2048 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = D8 x D18 (small group id <144, 41>)
Aut   = $<288, 356>$ (small group id <288, 356>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1 * Y2 * Y1)^2, (Y3 * Y1)^4, (Y2 * Y1)^18 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 10, 154)(6, 150, 12, 156)(8, 152, 15, 159)(11, 155, 20, 164)(13, 157, 23, 167)(14, 158, 21, 165)(16, 160, 19, 163)(17, 161, 22, 166)(18, 162, 28, 172)(24, 168, 35, 179)(25, 169, 34, 178)(26, 170, 32, 176)(27, 171, 31, 175)(29, 173, 39, 183)(30, 174, 38, 182)(33, 177, 41, 185)(36, 180, 44, 188)(37, 181, 45, 189)(40, 184, 48, 192)(42, 186, 51, 195)(43, 187, 50, 194)(46, 190, 55, 199)(47, 191, 54, 198)(49, 193, 57, 201)(52, 196, 60, 204)(53, 197, 61, 205)(56, 200, 64, 208)(58, 202, 67, 211)(59, 203, 66, 210)(62, 206, 80, 224)(63, 207, 69, 213)(65, 209, 79, 223)(68, 212, 73, 217)(70, 214, 107, 251)(71, 215, 103, 247)(72, 216, 112, 256)(74, 218, 114, 258)(75, 219, 111, 255)(76, 220, 117, 261)(77, 221, 101, 245)(78, 222, 120, 264)(81, 225, 115, 259)(82, 226, 122, 266)(83, 227, 109, 253)(84, 228, 116, 260)(85, 229, 119, 263)(86, 230, 105, 249)(87, 231, 127, 271)(88, 232, 110, 254)(89, 233, 129, 273)(90, 234, 113, 257)(91, 235, 123, 267)(92, 236, 124, 268)(93, 237, 125, 269)(94, 238, 126, 270)(95, 239, 135, 279)(96, 240, 118, 262)(97, 241, 137, 281)(98, 242, 121, 265)(99, 243, 131, 275)(100, 244, 132, 276)(102, 246, 133, 277)(104, 248, 134, 278)(106, 250, 140, 284)(108, 252, 128, 272)(130, 274, 142, 286)(136, 280, 144, 288)(138, 282, 141, 285)(139, 283, 143, 287)(289, 433, 291, 435)(290, 434, 293, 437)(292, 436, 296, 440)(294, 438, 299, 443)(295, 439, 301, 445)(297, 441, 304, 448)(298, 442, 306, 450)(300, 444, 309, 453)(302, 446, 312, 456)(303, 447, 313, 457)(305, 449, 315, 459)(307, 451, 317, 461)(308, 452, 318, 462)(310, 454, 320, 464)(311, 455, 321, 465)(314, 458, 324, 468)(316, 460, 325, 469)(319, 463, 328, 472)(322, 466, 330, 474)(323, 467, 331, 475)(326, 470, 334, 478)(327, 471, 335, 479)(329, 473, 337, 481)(332, 476, 340, 484)(333, 477, 341, 485)(336, 480, 344, 488)(338, 482, 346, 490)(339, 483, 347, 491)(342, 486, 350, 494)(343, 487, 351, 495)(345, 489, 353, 497)(348, 492, 356, 500)(349, 493, 389, 533)(352, 496, 391, 535)(354, 498, 393, 537)(355, 499, 395, 539)(357, 501, 397, 541)(358, 502, 398, 542)(359, 503, 399, 543)(360, 504, 401, 545)(361, 505, 402, 546)(362, 506, 403, 547)(363, 507, 404, 548)(364, 508, 406, 550)(365, 509, 407, 551)(366, 510, 409, 553)(367, 511, 410, 554)(368, 512, 400, 544)(369, 513, 411, 555)(370, 514, 412, 556)(371, 515, 408, 552)(372, 516, 413, 557)(373, 517, 414, 558)(374, 518, 405, 549)(375, 519, 416, 560)(376, 520, 415, 559)(377, 521, 418, 562)(378, 522, 417, 561)(379, 523, 419, 563)(380, 524, 420, 564)(381, 525, 421, 565)(382, 526, 422, 566)(383, 527, 424, 568)(384, 528, 423, 567)(385, 529, 394, 538)(386, 530, 425, 569)(387, 531, 426, 570)(388, 532, 427, 571)(390, 534, 429, 573)(392, 536, 431, 575)(396, 540, 428, 572)(430, 574, 432, 576)
	L = (1, 292)(2, 294)(3, 296)(4, 289)(5, 299)(6, 290)(7, 302)(8, 291)(9, 305)(10, 307)(11, 293)(12, 310)(13, 312)(14, 295)(15, 314)(16, 315)(17, 297)(18, 317)(19, 298)(20, 319)(21, 320)(22, 300)(23, 322)(24, 301)(25, 324)(26, 303)(27, 304)(28, 326)(29, 306)(30, 328)(31, 308)(32, 309)(33, 330)(34, 311)(35, 332)(36, 313)(37, 334)(38, 316)(39, 336)(40, 318)(41, 338)(42, 321)(43, 340)(44, 323)(45, 342)(46, 325)(47, 344)(48, 327)(49, 346)(50, 329)(51, 348)(52, 331)(53, 350)(54, 333)(55, 352)(56, 335)(57, 354)(58, 337)(59, 356)(60, 339)(61, 357)(62, 341)(63, 391)(64, 343)(65, 393)(66, 345)(67, 361)(68, 347)(69, 349)(70, 367)(71, 368)(72, 365)(73, 355)(74, 374)(75, 371)(76, 370)(77, 360)(78, 373)(79, 358)(80, 359)(81, 376)(82, 364)(83, 363)(84, 378)(85, 366)(86, 362)(87, 380)(88, 369)(89, 382)(90, 372)(91, 384)(92, 375)(93, 386)(94, 377)(95, 388)(96, 379)(97, 392)(98, 381)(99, 396)(100, 383)(101, 397)(102, 430)(103, 351)(104, 385)(105, 353)(106, 431)(107, 402)(108, 387)(109, 389)(110, 410)(111, 400)(112, 399)(113, 407)(114, 395)(115, 405)(116, 408)(117, 403)(118, 412)(119, 401)(120, 404)(121, 414)(122, 398)(123, 415)(124, 406)(125, 417)(126, 409)(127, 411)(128, 420)(129, 413)(130, 422)(131, 423)(132, 416)(133, 425)(134, 418)(135, 419)(136, 427)(137, 421)(138, 428)(139, 424)(140, 426)(141, 432)(142, 390)(143, 394)(144, 429)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2053
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2049 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = D8 x D18 (small group id <144, 41>)
Aut   = $<288, 356>$ (small group id <288, 356>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2, (Y3^2 * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^18, Y3^-8 * Y2 * Y3^2 * Y1 * Y3^-6 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146)(3, 147, 9, 153)(4, 148, 12, 156)(5, 149, 14, 158)(6, 150, 16, 160)(7, 151, 19, 163)(8, 152, 21, 165)(10, 154, 24, 168)(11, 155, 26, 170)(13, 157, 22, 166)(15, 159, 20, 164)(17, 161, 34, 178)(18, 162, 36, 180)(23, 167, 37, 181)(25, 169, 43, 187)(27, 171, 33, 177)(28, 172, 38, 182)(29, 173, 41, 185)(30, 174, 50, 194)(31, 175, 39, 183)(32, 176, 44, 188)(35, 179, 53, 197)(40, 184, 60, 204)(42, 186, 54, 198)(45, 189, 58, 202)(46, 190, 59, 203)(47, 191, 65, 209)(48, 192, 55, 199)(49, 193, 56, 200)(51, 195, 62, 206)(52, 196, 61, 205)(57, 201, 73, 217)(63, 207, 75, 219)(64, 208, 76, 220)(66, 210, 79, 223)(67, 211, 71, 215)(68, 212, 72, 216)(69, 213, 84, 228)(70, 214, 80, 224)(74, 218, 87, 231)(77, 221, 92, 236)(78, 222, 88, 232)(81, 225, 91, 235)(82, 226, 97, 241)(83, 227, 89, 233)(85, 229, 94, 238)(86, 230, 93, 237)(90, 234, 105, 249)(95, 239, 107, 251)(96, 240, 108, 252)(98, 242, 111, 255)(99, 243, 103, 247)(100, 244, 104, 248)(101, 245, 116, 260)(102, 246, 112, 256)(106, 250, 119, 263)(109, 253, 124, 268)(110, 254, 120, 264)(113, 257, 123, 267)(114, 258, 129, 273)(115, 259, 121, 265)(117, 261, 126, 270)(118, 262, 125, 269)(122, 266, 136, 280)(127, 271, 138, 282)(128, 272, 139, 283)(130, 274, 137, 281)(131, 275, 134, 278)(132, 276, 135, 279)(133, 277, 141, 285)(140, 284, 143, 287)(142, 286, 144, 288)(289, 433, 291, 435)(290, 434, 294, 438)(292, 436, 299, 443)(293, 437, 298, 442)(295, 439, 306, 450)(296, 440, 305, 449)(297, 441, 308, 452)(300, 444, 315, 459)(301, 445, 304, 448)(302, 446, 314, 458)(303, 447, 313, 457)(307, 451, 325, 469)(309, 453, 324, 468)(310, 454, 323, 467)(311, 455, 328, 472)(312, 456, 332, 476)(316, 460, 336, 480)(317, 461, 337, 481)(318, 462, 321, 465)(319, 463, 333, 477)(320, 464, 335, 479)(322, 466, 342, 486)(326, 470, 346, 490)(327, 471, 347, 491)(329, 473, 343, 487)(330, 474, 345, 489)(331, 475, 349, 493)(334, 478, 352, 496)(338, 482, 355, 499)(339, 483, 341, 485)(340, 484, 354, 498)(344, 488, 360, 504)(348, 492, 363, 507)(350, 494, 362, 506)(351, 495, 365, 509)(353, 497, 368, 512)(356, 500, 371, 515)(357, 501, 359, 503)(358, 502, 370, 514)(361, 505, 376, 520)(364, 508, 379, 523)(366, 510, 378, 522)(367, 511, 381, 525)(369, 513, 384, 528)(372, 516, 387, 531)(373, 517, 375, 519)(374, 518, 386, 530)(377, 521, 392, 536)(380, 524, 395, 539)(382, 526, 394, 538)(383, 527, 397, 541)(385, 529, 400, 544)(388, 532, 403, 547)(389, 533, 391, 535)(390, 534, 402, 546)(393, 537, 408, 552)(396, 540, 411, 555)(398, 542, 410, 554)(399, 543, 413, 557)(401, 545, 416, 560)(404, 548, 419, 563)(405, 549, 407, 551)(406, 550, 418, 562)(409, 553, 423, 567)(412, 556, 426, 570)(414, 558, 425, 569)(415, 559, 428, 572)(417, 561, 429, 573)(420, 564, 430, 574)(421, 565, 422, 566)(424, 568, 431, 575)(427, 571, 432, 576)
	L = (1, 292)(2, 295)(3, 298)(4, 301)(5, 289)(6, 305)(7, 308)(8, 290)(9, 306)(10, 313)(11, 291)(12, 316)(13, 318)(14, 319)(15, 293)(16, 299)(17, 323)(18, 294)(19, 326)(20, 328)(21, 329)(22, 296)(23, 297)(24, 333)(25, 335)(26, 336)(27, 337)(28, 302)(29, 300)(30, 339)(31, 332)(32, 303)(33, 304)(34, 343)(35, 345)(36, 346)(37, 347)(38, 309)(39, 307)(40, 349)(41, 342)(42, 310)(43, 311)(44, 352)(45, 314)(46, 312)(47, 354)(48, 315)(49, 355)(50, 317)(51, 357)(52, 320)(53, 321)(54, 360)(55, 324)(56, 322)(57, 362)(58, 325)(59, 363)(60, 327)(61, 365)(62, 330)(63, 331)(64, 368)(65, 334)(66, 370)(67, 371)(68, 338)(69, 373)(70, 340)(71, 341)(72, 376)(73, 344)(74, 378)(75, 379)(76, 348)(77, 381)(78, 350)(79, 351)(80, 384)(81, 353)(82, 386)(83, 387)(84, 356)(85, 389)(86, 358)(87, 359)(88, 392)(89, 361)(90, 394)(91, 395)(92, 364)(93, 397)(94, 366)(95, 367)(96, 400)(97, 369)(98, 402)(99, 403)(100, 372)(101, 405)(102, 374)(103, 375)(104, 408)(105, 377)(106, 410)(107, 411)(108, 380)(109, 413)(110, 382)(111, 383)(112, 416)(113, 385)(114, 418)(115, 419)(116, 388)(117, 421)(118, 390)(119, 391)(120, 423)(121, 393)(122, 425)(123, 426)(124, 396)(125, 428)(126, 398)(127, 399)(128, 429)(129, 401)(130, 422)(131, 430)(132, 404)(133, 406)(134, 407)(135, 431)(136, 409)(137, 415)(138, 432)(139, 412)(140, 414)(141, 420)(142, 417)(143, 427)(144, 424)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2054
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2050 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = D8 x D18 (small group id <144, 41>)
Aut   = $<288, 356>$ (small group id <288, 356>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1 * Y2 * Y1)^2, (Y3 * Y1)^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 10, 154)(6, 150, 12, 156)(8, 152, 15, 159)(11, 155, 20, 164)(13, 157, 23, 167)(14, 158, 21, 165)(16, 160, 19, 163)(17, 161, 22, 166)(18, 162, 28, 172)(24, 168, 35, 179)(25, 169, 34, 178)(26, 170, 32, 176)(27, 171, 31, 175)(29, 173, 39, 183)(30, 174, 38, 182)(33, 177, 41, 185)(36, 180, 44, 188)(37, 181, 45, 189)(40, 184, 48, 192)(42, 186, 51, 195)(43, 187, 50, 194)(46, 190, 55, 199)(47, 191, 54, 198)(49, 193, 57, 201)(52, 196, 60, 204)(53, 197, 61, 205)(56, 200, 64, 208)(58, 202, 67, 211)(59, 203, 66, 210)(62, 206, 108, 252)(63, 207, 91, 235)(65, 209, 88, 232)(68, 212, 104, 248)(69, 213, 125, 269)(70, 214, 127, 271)(71, 215, 129, 273)(72, 216, 131, 275)(73, 217, 122, 266)(74, 218, 133, 277)(75, 219, 135, 279)(76, 220, 134, 278)(77, 221, 137, 281)(78, 222, 123, 267)(79, 223, 132, 276)(80, 224, 140, 284)(81, 225, 113, 257)(82, 226, 142, 286)(83, 227, 117, 261)(84, 228, 141, 285)(85, 229, 139, 283)(86, 230, 111, 255)(87, 231, 143, 287)(89, 233, 138, 282)(90, 234, 136, 280)(92, 236, 120, 264)(93, 237, 118, 262)(94, 238, 144, 288)(95, 239, 126, 270)(96, 240, 116, 260)(97, 241, 115, 259)(98, 242, 121, 265)(99, 243, 128, 272)(100, 244, 103, 247)(101, 245, 119, 263)(102, 246, 130, 274)(105, 249, 124, 268)(106, 250, 110, 254)(107, 251, 109, 253)(112, 256, 114, 258)(289, 433, 291, 435)(290, 434, 293, 437)(292, 436, 296, 440)(294, 438, 299, 443)(295, 439, 301, 445)(297, 441, 304, 448)(298, 442, 306, 450)(300, 444, 309, 453)(302, 446, 312, 456)(303, 447, 313, 457)(305, 449, 315, 459)(307, 451, 317, 461)(308, 452, 318, 462)(310, 454, 320, 464)(311, 455, 321, 465)(314, 458, 324, 468)(316, 460, 325, 469)(319, 463, 328, 472)(322, 466, 330, 474)(323, 467, 331, 475)(326, 470, 334, 478)(327, 471, 335, 479)(329, 473, 337, 481)(332, 476, 340, 484)(333, 477, 341, 485)(336, 480, 344, 488)(338, 482, 346, 490)(339, 483, 347, 491)(342, 486, 350, 494)(343, 487, 351, 495)(345, 489, 353, 497)(348, 492, 356, 500)(349, 493, 405, 549)(352, 496, 407, 551)(354, 498, 409, 553)(355, 499, 411, 555)(357, 501, 414, 558)(358, 502, 416, 560)(359, 503, 418, 562)(360, 504, 420, 564)(361, 505, 412, 556)(362, 506, 422, 566)(363, 507, 424, 568)(364, 508, 408, 552)(365, 509, 426, 570)(366, 510, 427, 571)(367, 511, 404, 548)(368, 512, 429, 573)(369, 513, 402, 546)(370, 514, 419, 563)(371, 515, 428, 572)(372, 516, 403, 547)(373, 517, 417, 561)(374, 518, 400, 544)(375, 519, 421, 565)(376, 520, 425, 569)(377, 521, 406, 550)(378, 522, 410, 554)(379, 523, 432, 576)(380, 524, 398, 542)(381, 525, 397, 541)(382, 526, 413, 557)(383, 527, 399, 543)(384, 528, 395, 539)(385, 529, 394, 538)(386, 530, 415, 559)(387, 531, 401, 545)(388, 532, 393, 537)(389, 533, 430, 574)(390, 534, 391, 535)(392, 536, 431, 575)(396, 540, 423, 567)
	L = (1, 292)(2, 294)(3, 296)(4, 289)(5, 299)(6, 290)(7, 302)(8, 291)(9, 305)(10, 307)(11, 293)(12, 310)(13, 312)(14, 295)(15, 314)(16, 315)(17, 297)(18, 317)(19, 298)(20, 319)(21, 320)(22, 300)(23, 322)(24, 301)(25, 324)(26, 303)(27, 304)(28, 326)(29, 306)(30, 328)(31, 308)(32, 309)(33, 330)(34, 311)(35, 332)(36, 313)(37, 334)(38, 316)(39, 336)(40, 318)(41, 338)(42, 321)(43, 340)(44, 323)(45, 342)(46, 325)(47, 344)(48, 327)(49, 346)(50, 329)(51, 348)(52, 331)(53, 350)(54, 333)(55, 352)(56, 335)(57, 354)(58, 337)(59, 356)(60, 339)(61, 379)(62, 341)(63, 407)(64, 343)(65, 409)(66, 345)(67, 392)(68, 347)(69, 368)(70, 365)(71, 377)(72, 378)(73, 372)(74, 373)(75, 371)(76, 387)(77, 358)(78, 376)(79, 383)(80, 357)(81, 381)(82, 382)(83, 363)(84, 361)(85, 362)(86, 385)(87, 386)(88, 366)(89, 359)(90, 360)(91, 349)(92, 390)(93, 369)(94, 370)(95, 367)(96, 393)(97, 374)(98, 375)(99, 364)(100, 395)(101, 396)(102, 380)(103, 398)(104, 355)(105, 384)(106, 400)(107, 388)(108, 389)(109, 402)(110, 391)(111, 404)(112, 394)(113, 408)(114, 397)(115, 412)(116, 399)(117, 432)(118, 418)(119, 351)(120, 401)(121, 353)(122, 420)(123, 431)(124, 403)(125, 419)(126, 429)(127, 421)(128, 426)(129, 422)(130, 406)(131, 413)(132, 410)(133, 415)(134, 417)(135, 430)(136, 428)(137, 427)(138, 416)(139, 425)(140, 424)(141, 414)(142, 423)(143, 411)(144, 405)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.2052
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2051 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C4 x D18) : C2 (small group id <144, 44>)
Aut   = $<288, 363>$ (small group id <288, 363>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y3)^2, (Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146)(3, 147, 9, 153)(4, 148, 7, 151)(5, 149, 8, 152)(6, 150, 13, 157)(10, 154, 18, 162)(11, 155, 19, 163)(12, 156, 16, 160)(14, 158, 22, 166)(15, 159, 23, 167)(17, 161, 25, 169)(20, 164, 28, 172)(21, 165, 29, 173)(24, 168, 32, 176)(26, 170, 34, 178)(27, 171, 35, 179)(30, 174, 38, 182)(31, 175, 39, 183)(33, 177, 41, 185)(36, 180, 44, 188)(37, 181, 45, 189)(40, 184, 48, 192)(42, 186, 50, 194)(43, 187, 51, 195)(46, 190, 54, 198)(47, 191, 55, 199)(49, 193, 57, 201)(52, 196, 60, 204)(53, 197, 61, 205)(56, 200, 64, 208)(58, 202, 66, 210)(59, 203, 67, 211)(62, 206, 101, 245)(63, 207, 103, 247)(65, 209, 105, 249)(68, 212, 106, 250)(69, 213, 109, 253)(70, 214, 110, 254)(71, 215, 111, 255)(72, 216, 112, 256)(73, 217, 113, 257)(74, 218, 115, 259)(75, 219, 114, 258)(76, 220, 116, 260)(77, 221, 117, 261)(78, 222, 118, 262)(79, 223, 119, 263)(80, 224, 120, 264)(81, 225, 121, 265)(82, 226, 122, 266)(83, 227, 123, 267)(84, 228, 124, 268)(85, 229, 125, 269)(86, 230, 126, 270)(87, 231, 127, 271)(88, 232, 128, 272)(89, 233, 129, 273)(90, 234, 130, 274)(91, 235, 131, 275)(92, 236, 132, 276)(93, 237, 133, 277)(94, 238, 134, 278)(95, 239, 135, 279)(96, 240, 136, 280)(97, 241, 137, 281)(98, 242, 138, 282)(99, 243, 139, 283)(100, 244, 140, 284)(102, 246, 142, 286)(104, 248, 143, 287)(107, 251, 144, 288)(108, 252, 141, 285)(289, 433, 291, 435)(290, 434, 294, 438)(292, 436, 299, 443)(293, 437, 298, 442)(295, 439, 303, 447)(296, 440, 302, 446)(297, 441, 305, 449)(300, 444, 308, 452)(301, 445, 309, 453)(304, 448, 312, 456)(306, 450, 315, 459)(307, 451, 314, 458)(310, 454, 319, 463)(311, 455, 318, 462)(313, 457, 321, 465)(316, 460, 324, 468)(317, 461, 325, 469)(320, 464, 328, 472)(322, 466, 331, 475)(323, 467, 330, 474)(326, 470, 335, 479)(327, 471, 334, 478)(329, 473, 337, 481)(332, 476, 340, 484)(333, 477, 341, 485)(336, 480, 344, 488)(338, 482, 347, 491)(339, 483, 346, 490)(342, 486, 351, 495)(343, 487, 350, 494)(345, 489, 353, 497)(348, 492, 356, 500)(349, 493, 360, 504)(352, 496, 363, 507)(354, 498, 364, 508)(355, 499, 357, 501)(358, 502, 391, 535)(359, 503, 394, 538)(361, 505, 402, 546)(362, 506, 404, 548)(365, 509, 406, 550)(366, 510, 389, 533)(367, 511, 393, 537)(368, 512, 399, 543)(369, 513, 400, 544)(370, 514, 401, 545)(371, 515, 412, 556)(372, 516, 397, 541)(373, 517, 414, 558)(374, 518, 398, 542)(375, 519, 407, 551)(376, 520, 408, 552)(377, 521, 409, 553)(378, 522, 410, 554)(379, 523, 420, 564)(380, 524, 403, 547)(381, 525, 422, 566)(382, 526, 405, 549)(383, 527, 415, 559)(384, 528, 416, 560)(385, 529, 417, 561)(386, 530, 418, 562)(387, 531, 428, 572)(388, 532, 411, 555)(390, 534, 431, 575)(392, 536, 413, 557)(395, 539, 423, 567)(396, 540, 424, 568)(419, 563, 430, 574)(421, 565, 427, 571)(425, 569, 429, 573)(426, 570, 432, 576)
	L = (1, 292)(2, 295)(3, 298)(4, 300)(5, 289)(6, 302)(7, 304)(8, 290)(9, 306)(10, 308)(11, 291)(12, 293)(13, 310)(14, 312)(15, 294)(16, 296)(17, 314)(18, 316)(19, 297)(20, 299)(21, 318)(22, 320)(23, 301)(24, 303)(25, 322)(26, 324)(27, 305)(28, 307)(29, 326)(30, 328)(31, 309)(32, 311)(33, 330)(34, 332)(35, 313)(36, 315)(37, 334)(38, 336)(39, 317)(40, 319)(41, 338)(42, 340)(43, 321)(44, 323)(45, 342)(46, 344)(47, 325)(48, 327)(49, 346)(50, 348)(51, 329)(52, 331)(53, 350)(54, 352)(55, 333)(56, 335)(57, 354)(58, 356)(59, 337)(60, 339)(61, 389)(62, 363)(63, 341)(64, 343)(65, 357)(66, 394)(67, 345)(68, 347)(69, 359)(70, 361)(71, 364)(72, 358)(73, 366)(74, 368)(75, 351)(76, 353)(77, 370)(78, 360)(79, 362)(80, 372)(81, 365)(82, 374)(83, 376)(84, 367)(85, 378)(86, 369)(87, 371)(88, 380)(89, 373)(90, 382)(91, 384)(92, 375)(93, 386)(94, 377)(95, 379)(96, 388)(97, 381)(98, 392)(99, 396)(100, 383)(101, 402)(102, 432)(103, 349)(104, 385)(105, 397)(106, 355)(107, 387)(108, 430)(109, 399)(110, 401)(111, 404)(112, 398)(113, 406)(114, 391)(115, 408)(116, 393)(117, 410)(118, 400)(119, 403)(120, 412)(121, 405)(122, 414)(123, 416)(124, 407)(125, 418)(126, 409)(127, 411)(128, 420)(129, 413)(130, 422)(131, 424)(132, 415)(133, 426)(134, 417)(135, 419)(136, 428)(137, 421)(138, 431)(139, 429)(140, 423)(141, 390)(142, 395)(143, 425)(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) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2055
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2052 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = D8 x D18 (small group id <144, 41>)
Aut   = $<288, 356>$ (small group id <288, 356>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146, 6, 150, 5, 149)(3, 147, 9, 153, 14, 158, 11, 155)(4, 148, 12, 156, 15, 159, 8, 152)(7, 151, 16, 160, 13, 157, 18, 162)(10, 154, 21, 165, 24, 168, 20, 164)(17, 161, 27, 171, 23, 167, 26, 170)(19, 163, 29, 173, 22, 166, 31, 175)(25, 169, 33, 177, 28, 172, 35, 179)(30, 174, 39, 183, 32, 176, 38, 182)(34, 178, 43, 187, 36, 180, 42, 186)(37, 181, 45, 189, 40, 184, 47, 191)(41, 185, 49, 193, 44, 188, 51, 195)(46, 190, 55, 199, 48, 192, 54, 198)(50, 194, 59, 203, 52, 196, 58, 202)(53, 197, 61, 205, 56, 200, 63, 207)(57, 201, 65, 209, 60, 204, 67, 211)(62, 206, 71, 215, 64, 208, 70, 214)(66, 210, 107, 251, 68, 212, 105, 249)(69, 213, 109, 253, 72, 216, 112, 256)(73, 217, 113, 257, 76, 220, 114, 258)(74, 218, 115, 259, 75, 219, 116, 260)(77, 221, 117, 261, 80, 224, 118, 262)(78, 222, 119, 263, 79, 223, 120, 264)(81, 225, 121, 265, 82, 226, 122, 266)(83, 227, 123, 267, 84, 228, 124, 268)(85, 229, 125, 269, 86, 230, 126, 270)(87, 231, 127, 271, 88, 232, 128, 272)(89, 233, 129, 273, 90, 234, 130, 274)(91, 235, 131, 275, 92, 236, 132, 276)(93, 237, 133, 277, 94, 238, 134, 278)(95, 239, 135, 279, 96, 240, 136, 280)(97, 241, 137, 281, 98, 242, 138, 282)(99, 243, 139, 283, 100, 244, 140, 284)(101, 245, 141, 285, 102, 246, 142, 286)(103, 247, 108, 252, 104, 248, 106, 250)(110, 254, 143, 287, 111, 255, 144, 288)(289, 433, 291, 435)(290, 434, 295, 439)(292, 436, 298, 442)(293, 437, 301, 445)(294, 438, 302, 446)(296, 440, 305, 449)(297, 441, 307, 451)(299, 443, 310, 454)(300, 444, 311, 455)(303, 447, 312, 456)(304, 448, 313, 457)(306, 450, 316, 460)(308, 452, 318, 462)(309, 453, 320, 464)(314, 458, 322, 466)(315, 459, 324, 468)(317, 461, 325, 469)(319, 463, 328, 472)(321, 465, 329, 473)(323, 467, 332, 476)(326, 470, 334, 478)(327, 471, 336, 480)(330, 474, 338, 482)(331, 475, 340, 484)(333, 477, 341, 485)(335, 479, 344, 488)(337, 481, 345, 489)(339, 483, 348, 492)(342, 486, 350, 494)(343, 487, 352, 496)(346, 490, 354, 498)(347, 491, 356, 500)(349, 493, 357, 501)(351, 495, 360, 504)(353, 497, 365, 509)(355, 499, 368, 512)(358, 502, 361, 505)(359, 503, 364, 508)(362, 506, 393, 537)(363, 507, 395, 539)(366, 510, 402, 546)(367, 511, 401, 545)(369, 513, 404, 548)(370, 514, 403, 547)(371, 515, 397, 541)(372, 516, 400, 544)(373, 517, 405, 549)(374, 518, 406, 550)(375, 519, 408, 552)(376, 520, 407, 551)(377, 521, 410, 554)(378, 522, 409, 553)(379, 523, 411, 555)(380, 524, 412, 556)(381, 525, 413, 557)(382, 526, 414, 558)(383, 527, 416, 560)(384, 528, 415, 559)(385, 529, 418, 562)(386, 530, 417, 561)(387, 531, 419, 563)(388, 532, 420, 564)(389, 533, 421, 565)(390, 534, 422, 566)(391, 535, 424, 568)(392, 536, 423, 567)(394, 538, 426, 570)(396, 540, 425, 569)(398, 542, 427, 571)(399, 543, 428, 572)(429, 573, 431, 575)(430, 574, 432, 576)
	L = (1, 292)(2, 296)(3, 298)(4, 289)(5, 300)(6, 303)(7, 305)(8, 290)(9, 308)(10, 291)(11, 309)(12, 293)(13, 311)(14, 312)(15, 294)(16, 314)(17, 295)(18, 315)(19, 318)(20, 297)(21, 299)(22, 320)(23, 301)(24, 302)(25, 322)(26, 304)(27, 306)(28, 324)(29, 326)(30, 307)(31, 327)(32, 310)(33, 330)(34, 313)(35, 331)(36, 316)(37, 334)(38, 317)(39, 319)(40, 336)(41, 338)(42, 321)(43, 323)(44, 340)(45, 342)(46, 325)(47, 343)(48, 328)(49, 346)(50, 329)(51, 347)(52, 332)(53, 350)(54, 333)(55, 335)(56, 352)(57, 354)(58, 337)(59, 339)(60, 356)(61, 358)(62, 341)(63, 359)(64, 344)(65, 393)(66, 345)(67, 395)(68, 348)(69, 361)(70, 349)(71, 351)(72, 364)(73, 357)(74, 365)(75, 368)(76, 360)(77, 362)(78, 371)(79, 372)(80, 363)(81, 373)(82, 374)(83, 366)(84, 367)(85, 369)(86, 370)(87, 379)(88, 380)(89, 381)(90, 382)(91, 375)(92, 376)(93, 377)(94, 378)(95, 387)(96, 388)(97, 389)(98, 390)(99, 383)(100, 384)(101, 385)(102, 386)(103, 398)(104, 399)(105, 353)(106, 431)(107, 355)(108, 432)(109, 402)(110, 391)(111, 392)(112, 401)(113, 400)(114, 397)(115, 406)(116, 405)(117, 404)(118, 403)(119, 412)(120, 411)(121, 414)(122, 413)(123, 408)(124, 407)(125, 410)(126, 409)(127, 420)(128, 419)(129, 422)(130, 421)(131, 416)(132, 415)(133, 418)(134, 417)(135, 428)(136, 427)(137, 430)(138, 429)(139, 424)(140, 423)(141, 426)(142, 425)(143, 394)(144, 396)(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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2050
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2053 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = D8 x D18 (small group id <144, 41>)
Aut   = $<288, 356>$ (small group id <288, 356>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y2)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146, 6, 150, 5, 149)(3, 147, 9, 153, 14, 158, 11, 155)(4, 148, 12, 156, 15, 159, 8, 152)(7, 151, 16, 160, 13, 157, 18, 162)(10, 154, 21, 165, 24, 168, 20, 164)(17, 161, 27, 171, 23, 167, 26, 170)(19, 163, 29, 173, 22, 166, 31, 175)(25, 169, 33, 177, 28, 172, 35, 179)(30, 174, 39, 183, 32, 176, 38, 182)(34, 178, 43, 187, 36, 180, 42, 186)(37, 181, 45, 189, 40, 184, 47, 191)(41, 185, 49, 193, 44, 188, 51, 195)(46, 190, 55, 199, 48, 192, 54, 198)(50, 194, 59, 203, 52, 196, 58, 202)(53, 197, 61, 205, 56, 200, 63, 207)(57, 201, 65, 209, 60, 204, 67, 211)(62, 206, 71, 215, 64, 208, 70, 214)(66, 210, 110, 254, 68, 212, 109, 253)(69, 213, 113, 257, 72, 216, 115, 259)(73, 217, 117, 261, 78, 222, 119, 263)(74, 218, 120, 264, 77, 221, 122, 266)(75, 219, 123, 267, 82, 226, 125, 269)(76, 220, 126, 270, 83, 227, 128, 272)(79, 223, 131, 275, 81, 225, 133, 277)(80, 224, 134, 278, 88, 232, 136, 280)(84, 228, 140, 284, 87, 231, 142, 286)(85, 229, 143, 287, 86, 230, 141, 285)(89, 233, 135, 279, 90, 234, 144, 288)(91, 235, 137, 281, 92, 236, 132, 276)(93, 237, 124, 268, 94, 238, 138, 282)(95, 239, 127, 271, 96, 240, 139, 283)(97, 241, 114, 258, 98, 242, 116, 260)(99, 243, 118, 262, 100, 244, 130, 274)(101, 245, 121, 265, 102, 246, 129, 273)(103, 247, 105, 249, 104, 248, 106, 250)(107, 251, 112, 256, 108, 252, 111, 255)(289, 433, 291, 435)(290, 434, 295, 439)(292, 436, 298, 442)(293, 437, 301, 445)(294, 438, 302, 446)(296, 440, 305, 449)(297, 441, 307, 451)(299, 443, 310, 454)(300, 444, 311, 455)(303, 447, 312, 456)(304, 448, 313, 457)(306, 450, 316, 460)(308, 452, 318, 462)(309, 453, 320, 464)(314, 458, 322, 466)(315, 459, 324, 468)(317, 461, 325, 469)(319, 463, 328, 472)(321, 465, 329, 473)(323, 467, 332, 476)(326, 470, 334, 478)(327, 471, 336, 480)(330, 474, 338, 482)(331, 475, 340, 484)(333, 477, 341, 485)(335, 479, 344, 488)(337, 481, 345, 489)(339, 483, 348, 492)(342, 486, 350, 494)(343, 487, 352, 496)(346, 490, 354, 498)(347, 491, 356, 500)(349, 493, 357, 501)(351, 495, 360, 504)(353, 497, 371, 515)(355, 499, 364, 508)(358, 502, 365, 509)(359, 503, 362, 506)(361, 505, 397, 541)(363, 507, 408, 552)(366, 510, 398, 542)(367, 511, 407, 551)(368, 512, 403, 547)(369, 513, 405, 549)(370, 514, 410, 554)(372, 516, 414, 558)(373, 517, 413, 557)(374, 518, 411, 555)(375, 519, 416, 560)(376, 520, 401, 545)(377, 521, 421, 565)(378, 522, 419, 563)(379, 523, 422, 566)(380, 524, 424, 568)(381, 525, 428, 572)(382, 526, 430, 574)(383, 527, 429, 573)(384, 528, 431, 575)(385, 529, 432, 576)(386, 530, 423, 567)(387, 531, 425, 569)(388, 532, 420, 564)(389, 533, 412, 556)(390, 534, 426, 570)(391, 535, 427, 571)(392, 536, 415, 559)(393, 537, 404, 548)(394, 538, 402, 546)(395, 539, 406, 550)(396, 540, 418, 562)(399, 543, 409, 553)(400, 544, 417, 561)
	L = (1, 292)(2, 296)(3, 298)(4, 289)(5, 300)(6, 303)(7, 305)(8, 290)(9, 308)(10, 291)(11, 309)(12, 293)(13, 311)(14, 312)(15, 294)(16, 314)(17, 295)(18, 315)(19, 318)(20, 297)(21, 299)(22, 320)(23, 301)(24, 302)(25, 322)(26, 304)(27, 306)(28, 324)(29, 326)(30, 307)(31, 327)(32, 310)(33, 330)(34, 313)(35, 331)(36, 316)(37, 334)(38, 317)(39, 319)(40, 336)(41, 338)(42, 321)(43, 323)(44, 340)(45, 342)(46, 325)(47, 343)(48, 328)(49, 346)(50, 329)(51, 347)(52, 332)(53, 350)(54, 333)(55, 335)(56, 352)(57, 354)(58, 337)(59, 339)(60, 356)(61, 358)(62, 341)(63, 359)(64, 344)(65, 397)(66, 345)(67, 398)(68, 348)(69, 365)(70, 349)(71, 351)(72, 362)(73, 371)(74, 360)(75, 376)(76, 366)(77, 357)(78, 364)(79, 375)(80, 370)(81, 372)(82, 368)(83, 361)(84, 369)(85, 380)(86, 379)(87, 367)(88, 363)(89, 382)(90, 381)(91, 374)(92, 373)(93, 378)(94, 377)(95, 388)(96, 387)(97, 390)(98, 389)(99, 384)(100, 383)(101, 386)(102, 385)(103, 396)(104, 395)(105, 400)(106, 399)(107, 392)(108, 391)(109, 353)(110, 355)(111, 394)(112, 393)(113, 408)(114, 409)(115, 410)(116, 417)(117, 414)(118, 415)(119, 416)(120, 401)(121, 402)(122, 403)(123, 422)(124, 423)(125, 424)(126, 405)(127, 406)(128, 407)(129, 404)(130, 427)(131, 428)(132, 429)(133, 430)(134, 411)(135, 412)(136, 413)(137, 431)(138, 432)(139, 418)(140, 419)(141, 420)(142, 421)(143, 425)(144, 426)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2048
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2054 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = D8 x D18 (small group id <144, 41>)
Aut   = $<288, 356>$ (small group id <288, 356>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^-1 * Y3^-2 * Y1^-1, Y1^4, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146, 7, 151, 5, 149)(3, 147, 11, 155, 16, 160, 13, 157)(4, 148, 9, 153, 6, 150, 10, 154)(8, 152, 17, 161, 15, 159, 19, 163)(12, 156, 22, 166, 14, 158, 23, 167)(18, 162, 26, 170, 20, 164, 27, 171)(21, 165, 29, 173, 24, 168, 31, 175)(25, 169, 33, 177, 28, 172, 35, 179)(30, 174, 38, 182, 32, 176, 39, 183)(34, 178, 42, 186, 36, 180, 43, 187)(37, 181, 45, 189, 40, 184, 47, 191)(41, 185, 49, 193, 44, 188, 51, 195)(46, 190, 54, 198, 48, 192, 55, 199)(50, 194, 58, 202, 52, 196, 59, 203)(53, 197, 61, 205, 56, 200, 63, 207)(57, 201, 65, 209, 60, 204, 67, 211)(62, 206, 70, 214, 64, 208, 71, 215)(66, 210, 129, 273, 68, 212, 131, 275)(69, 213, 133, 277, 72, 216, 136, 280)(73, 217, 105, 249, 79, 223, 107, 251)(74, 218, 103, 247, 77, 221, 101, 245)(75, 219, 115, 259, 88, 232, 117, 261)(76, 220, 113, 257, 78, 222, 114, 258)(80, 224, 119, 263, 87, 231, 121, 265)(81, 225, 111, 255, 82, 226, 110, 254)(83, 227, 91, 235, 85, 229, 89, 233)(84, 228, 123, 267, 86, 230, 124, 268)(90, 234, 125, 269, 92, 236, 126, 270)(93, 237, 127, 271, 96, 240, 128, 272)(94, 238, 99, 243, 95, 239, 98, 242)(97, 241, 130, 274, 100, 244, 132, 276)(102, 246, 134, 278, 104, 248, 135, 279)(106, 250, 137, 281, 108, 252, 138, 282)(109, 253, 140, 284, 112, 256, 139, 283)(116, 260, 141, 285, 118, 262, 142, 286)(120, 264, 143, 287, 122, 266, 144, 288)(289, 433, 291, 435)(290, 434, 296, 440)(292, 436, 302, 446)(293, 437, 303, 447)(294, 438, 300, 444)(295, 439, 304, 448)(297, 441, 308, 452)(298, 442, 306, 450)(299, 443, 309, 453)(301, 445, 312, 456)(305, 449, 313, 457)(307, 451, 316, 460)(310, 454, 320, 464)(311, 455, 318, 462)(314, 458, 324, 468)(315, 459, 322, 466)(317, 461, 325, 469)(319, 463, 328, 472)(321, 465, 329, 473)(323, 467, 332, 476)(326, 470, 336, 480)(327, 471, 334, 478)(330, 474, 340, 484)(331, 475, 338, 482)(333, 477, 341, 485)(335, 479, 344, 488)(337, 481, 345, 489)(339, 483, 348, 492)(342, 486, 352, 496)(343, 487, 350, 494)(346, 490, 356, 500)(347, 491, 354, 498)(349, 493, 357, 501)(351, 495, 360, 504)(353, 497, 397, 541)(355, 499, 400, 544)(358, 502, 408, 552)(359, 503, 410, 554)(361, 505, 409, 553)(362, 506, 403, 547)(363, 507, 416, 560)(364, 508, 413, 557)(365, 509, 405, 549)(366, 510, 414, 558)(367, 511, 407, 551)(368, 512, 420, 564)(369, 513, 412, 556)(370, 514, 411, 555)(371, 515, 393, 537)(372, 516, 422, 566)(373, 517, 395, 539)(374, 518, 423, 567)(375, 519, 418, 562)(376, 520, 415, 559)(377, 521, 391, 535)(378, 522, 425, 569)(379, 523, 389, 533)(380, 524, 426, 570)(381, 525, 427, 571)(382, 526, 402, 546)(383, 527, 401, 545)(384, 528, 428, 572)(385, 529, 421, 565)(386, 530, 398, 542)(387, 531, 399, 543)(388, 532, 424, 568)(390, 534, 429, 573)(392, 536, 430, 574)(394, 538, 431, 575)(396, 540, 432, 576)(404, 548, 419, 563)(406, 550, 417, 561)
	L = (1, 292)(2, 297)(3, 300)(4, 295)(5, 298)(6, 289)(7, 294)(8, 306)(9, 293)(10, 290)(11, 310)(12, 304)(13, 311)(14, 291)(15, 308)(16, 302)(17, 314)(18, 303)(19, 315)(20, 296)(21, 318)(22, 301)(23, 299)(24, 320)(25, 322)(26, 307)(27, 305)(28, 324)(29, 326)(30, 312)(31, 327)(32, 309)(33, 330)(34, 316)(35, 331)(36, 313)(37, 334)(38, 319)(39, 317)(40, 336)(41, 338)(42, 323)(43, 321)(44, 340)(45, 342)(46, 328)(47, 343)(48, 325)(49, 346)(50, 332)(51, 347)(52, 329)(53, 350)(54, 335)(55, 333)(56, 352)(57, 354)(58, 339)(59, 337)(60, 356)(61, 358)(62, 344)(63, 359)(64, 341)(65, 417)(66, 348)(67, 419)(68, 345)(69, 410)(70, 351)(71, 349)(72, 408)(73, 364)(74, 369)(75, 372)(76, 367)(77, 370)(78, 361)(79, 366)(80, 378)(81, 365)(82, 362)(83, 382)(84, 376)(85, 383)(86, 363)(87, 380)(88, 374)(89, 386)(90, 375)(91, 387)(92, 368)(93, 390)(94, 373)(95, 371)(96, 392)(97, 394)(98, 379)(99, 377)(100, 396)(101, 398)(102, 384)(103, 399)(104, 381)(105, 401)(106, 388)(107, 402)(108, 385)(109, 404)(110, 391)(111, 389)(112, 406)(113, 395)(114, 393)(115, 411)(116, 400)(117, 412)(118, 397)(119, 413)(120, 357)(121, 414)(122, 360)(123, 405)(124, 403)(125, 409)(126, 407)(127, 422)(128, 423)(129, 355)(130, 425)(131, 353)(132, 426)(133, 432)(134, 416)(135, 415)(136, 431)(137, 420)(138, 418)(139, 430)(140, 429)(141, 427)(142, 428)(143, 421)(144, 424)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2049
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2055 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C4 x D18) : C2 (small group id <144, 44>)
Aut   = $<288, 363>$ (small group id <288, 363>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y1^-1 * Y3^-1)^2, Y1^-1 * Y3^2 * Y1^-1, Y3^2 * Y1^2, (Y3^-1, Y1^-1), (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y3^2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146, 7, 151, 5, 149)(3, 147, 11, 155, 16, 160, 13, 157)(4, 148, 9, 153, 6, 150, 10, 154)(8, 152, 17, 161, 15, 159, 19, 163)(12, 156, 22, 166, 14, 158, 23, 167)(18, 162, 26, 170, 20, 164, 27, 171)(21, 165, 29, 173, 24, 168, 31, 175)(25, 169, 33, 177, 28, 172, 35, 179)(30, 174, 38, 182, 32, 176, 39, 183)(34, 178, 42, 186, 36, 180, 43, 187)(37, 181, 45, 189, 40, 184, 47, 191)(41, 185, 49, 193, 44, 188, 51, 195)(46, 190, 54, 198, 48, 192, 55, 199)(50, 194, 58, 202, 52, 196, 59, 203)(53, 197, 61, 205, 56, 200, 63, 207)(57, 201, 65, 209, 60, 204, 67, 211)(62, 206, 70, 214, 64, 208, 71, 215)(66, 210, 84, 228, 68, 212, 82, 226)(69, 213, 73, 217, 72, 216, 78, 222)(74, 218, 111, 255, 76, 220, 109, 253)(75, 219, 113, 257, 77, 221, 114, 258)(79, 223, 129, 273, 80, 224, 132, 276)(81, 225, 127, 271, 83, 227, 117, 261)(85, 229, 123, 267, 86, 230, 119, 263)(87, 231, 121, 265, 88, 232, 125, 269)(89, 233, 130, 274, 90, 234, 133, 277)(91, 235, 138, 282, 92, 236, 135, 279)(93, 237, 139, 283, 94, 238, 136, 280)(95, 239, 141, 285, 96, 240, 143, 287)(97, 241, 142, 286, 98, 242, 144, 288)(99, 243, 124, 268, 100, 244, 120, 264)(101, 245, 118, 262, 102, 246, 128, 272)(103, 247, 131, 275, 104, 248, 134, 278)(105, 249, 126, 270, 106, 250, 122, 266)(107, 251, 110, 254, 108, 252, 112, 256)(115, 259, 140, 284, 116, 260, 137, 281)(289, 433, 291, 435)(290, 434, 296, 440)(292, 436, 302, 446)(293, 437, 303, 447)(294, 438, 300, 444)(295, 439, 304, 448)(297, 441, 308, 452)(298, 442, 306, 450)(299, 443, 309, 453)(301, 445, 312, 456)(305, 449, 313, 457)(307, 451, 316, 460)(310, 454, 320, 464)(311, 455, 318, 462)(314, 458, 324, 468)(315, 459, 322, 466)(317, 461, 325, 469)(319, 463, 328, 472)(321, 465, 329, 473)(323, 467, 332, 476)(326, 470, 336, 480)(327, 471, 334, 478)(330, 474, 340, 484)(331, 475, 338, 482)(333, 477, 341, 485)(335, 479, 344, 488)(337, 481, 345, 489)(339, 483, 348, 492)(342, 486, 352, 496)(343, 487, 350, 494)(346, 490, 356, 500)(347, 491, 354, 498)(349, 493, 357, 501)(351, 495, 360, 504)(353, 497, 397, 541)(355, 499, 399, 543)(358, 502, 402, 546)(359, 503, 401, 545)(361, 505, 405, 549)(362, 506, 407, 551)(363, 507, 409, 553)(364, 508, 411, 555)(365, 509, 413, 557)(366, 510, 415, 559)(367, 511, 418, 562)(368, 512, 421, 565)(369, 513, 423, 567)(370, 514, 417, 561)(371, 515, 426, 570)(372, 516, 420, 564)(373, 517, 424, 568)(374, 518, 427, 571)(375, 519, 429, 573)(376, 520, 431, 575)(377, 521, 430, 574)(378, 522, 432, 576)(379, 523, 408, 552)(380, 524, 412, 556)(381, 525, 416, 560)(382, 526, 406, 550)(383, 527, 419, 563)(384, 528, 422, 566)(385, 529, 414, 558)(386, 530, 410, 554)(387, 531, 400, 544)(388, 532, 398, 542)(389, 533, 395, 539)(390, 534, 396, 540)(391, 535, 428, 572)(392, 536, 425, 569)(393, 537, 404, 548)(394, 538, 403, 547)
	L = (1, 292)(2, 297)(3, 300)(4, 295)(5, 298)(6, 289)(7, 294)(8, 306)(9, 293)(10, 290)(11, 310)(12, 304)(13, 311)(14, 291)(15, 308)(16, 302)(17, 314)(18, 303)(19, 315)(20, 296)(21, 318)(22, 301)(23, 299)(24, 320)(25, 322)(26, 307)(27, 305)(28, 324)(29, 326)(30, 312)(31, 327)(32, 309)(33, 330)(34, 316)(35, 331)(36, 313)(37, 334)(38, 319)(39, 317)(40, 336)(41, 338)(42, 323)(43, 321)(44, 340)(45, 342)(46, 328)(47, 343)(48, 325)(49, 346)(50, 332)(51, 347)(52, 329)(53, 350)(54, 335)(55, 333)(56, 352)(57, 354)(58, 339)(59, 337)(60, 356)(61, 358)(62, 344)(63, 359)(64, 341)(65, 372)(66, 348)(67, 370)(68, 345)(69, 401)(70, 351)(71, 349)(72, 402)(73, 365)(74, 368)(75, 361)(76, 367)(77, 366)(78, 363)(79, 362)(80, 364)(81, 376)(82, 353)(83, 375)(84, 355)(85, 378)(86, 377)(87, 369)(88, 371)(89, 373)(90, 374)(91, 384)(92, 383)(93, 386)(94, 385)(95, 379)(96, 380)(97, 381)(98, 382)(99, 392)(100, 391)(101, 394)(102, 393)(103, 387)(104, 388)(105, 389)(106, 390)(107, 404)(108, 403)(109, 417)(110, 425)(111, 420)(112, 428)(113, 360)(114, 357)(115, 395)(116, 396)(117, 409)(118, 410)(119, 418)(120, 419)(121, 415)(122, 416)(123, 421)(124, 422)(125, 405)(126, 406)(127, 413)(128, 414)(129, 399)(130, 411)(131, 412)(132, 397)(133, 407)(134, 408)(135, 429)(136, 430)(137, 400)(138, 431)(139, 432)(140, 398)(141, 426)(142, 427)(143, 423)(144, 424)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2051
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2056 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
Aut   = $<288, 835>$ (small group id <288, 835>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, R * Y3 * R * Y2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2 * Y1)^18 ]
Map:: polytopal non-degenerate
	R = (1, 146, 2, 145)(3, 151, 7, 147)(4, 153, 9, 148)(5, 154, 10, 149)(6, 156, 12, 150)(8, 159, 15, 152)(11, 164, 20, 155)(13, 167, 23, 157)(14, 169, 25, 158)(16, 172, 28, 160)(17, 174, 30, 161)(18, 175, 31, 162)(19, 177, 33, 163)(21, 180, 36, 165)(22, 182, 38, 166)(24, 179, 35, 168)(26, 181, 37, 170)(27, 176, 32, 171)(29, 178, 34, 173)(39, 193, 49, 183)(40, 194, 50, 184)(41, 195, 51, 185)(42, 196, 52, 186)(43, 192, 48, 187)(44, 197, 53, 188)(45, 198, 54, 189)(46, 199, 55, 190)(47, 200, 56, 191)(57, 209, 65, 201)(58, 210, 66, 202)(59, 211, 67, 203)(60, 212, 68, 204)(61, 213, 69, 205)(62, 214, 70, 206)(63, 215, 71, 207)(64, 216, 72, 208)(73, 225, 81, 217)(74, 226, 82, 218)(75, 227, 83, 219)(76, 228, 84, 220)(77, 229, 85, 221)(78, 230, 86, 222)(79, 231, 87, 223)(80, 232, 88, 224)(89, 241, 97, 233)(90, 242, 98, 234)(91, 243, 99, 235)(92, 244, 100, 236)(93, 245, 101, 237)(94, 246, 102, 238)(95, 247, 103, 239)(96, 248, 104, 240)(105, 257, 113, 249)(106, 258, 114, 250)(107, 259, 115, 251)(108, 260, 116, 252)(109, 261, 117, 253)(110, 262, 118, 254)(111, 263, 119, 255)(112, 264, 120, 256)(121, 273, 129, 265)(122, 274, 130, 266)(123, 275, 131, 267)(124, 276, 132, 268)(125, 277, 133, 269)(126, 278, 134, 270)(127, 279, 135, 271)(128, 280, 136, 272)(137, 285, 141, 281)(138, 288, 144, 282)(139, 287, 143, 283)(140, 286, 142, 284)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 13)(9, 16)(10, 18)(12, 21)(14, 24)(15, 26)(17, 29)(19, 32)(20, 34)(22, 37)(23, 39)(25, 41)(27, 43)(28, 42)(30, 40)(31, 44)(33, 46)(35, 48)(36, 47)(38, 45)(49, 57)(50, 59)(51, 60)(52, 58)(53, 61)(54, 63)(55, 64)(56, 62)(65, 73)(66, 75)(67, 76)(68, 74)(69, 77)(70, 79)(71, 80)(72, 78)(81, 89)(82, 91)(83, 92)(84, 90)(85, 93)(86, 95)(87, 96)(88, 94)(97, 105)(98, 107)(99, 108)(100, 106)(101, 109)(102, 111)(103, 112)(104, 110)(113, 121)(114, 123)(115, 124)(116, 122)(117, 125)(118, 127)(119, 128)(120, 126)(129, 137)(130, 139)(131, 140)(132, 138)(133, 141)(134, 143)(135, 144)(136, 142)(145, 148)(146, 150)(147, 152)(149, 155)(151, 158)(153, 161)(154, 163)(156, 166)(157, 168)(159, 171)(160, 173)(162, 176)(164, 179)(165, 181)(167, 184)(169, 186)(170, 187)(172, 185)(174, 183)(175, 189)(177, 191)(178, 192)(180, 190)(182, 188)(193, 202)(194, 204)(195, 203)(196, 201)(197, 206)(198, 208)(199, 207)(200, 205)(209, 218)(210, 220)(211, 219)(212, 217)(213, 222)(214, 224)(215, 223)(216, 221)(225, 234)(226, 236)(227, 235)(228, 233)(229, 238)(230, 240)(231, 239)(232, 237)(241, 250)(242, 252)(243, 251)(244, 249)(245, 254)(246, 256)(247, 255)(248, 253)(257, 266)(258, 268)(259, 267)(260, 265)(261, 270)(262, 272)(263, 271)(264, 269)(273, 282)(274, 284)(275, 283)(276, 281)(277, 286)(278, 288)(279, 287)(280, 285)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2057
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.2057 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
Aut   = $<288, 835>$ (small group id <288, 835>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y2 * Y3 * Y1^-1)^2, Y1^-1 * Y3 * Y1^-2 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 146, 2, 150, 6, 149, 5, 145)(3, 153, 9, 161, 17, 155, 11, 147)(4, 156, 12, 160, 16, 157, 13, 148)(7, 162, 18, 159, 15, 164, 20, 151)(8, 165, 21, 158, 14, 166, 22, 152)(10, 169, 25, 172, 28, 163, 19, 154)(23, 177, 33, 171, 27, 178, 34, 167)(24, 179, 35, 170, 26, 180, 36, 168)(29, 181, 37, 176, 32, 182, 38, 173)(30, 183, 39, 175, 31, 184, 40, 174)(41, 193, 49, 188, 44, 194, 50, 185)(42, 195, 51, 187, 43, 196, 52, 186)(45, 197, 53, 192, 48, 198, 54, 189)(46, 199, 55, 191, 47, 200, 56, 190)(57, 209, 65, 204, 60, 210, 66, 201)(58, 211, 67, 203, 59, 212, 68, 202)(61, 213, 69, 208, 64, 214, 70, 205)(62, 215, 71, 207, 63, 216, 72, 206)(73, 225, 81, 220, 76, 226, 82, 217)(74, 227, 83, 219, 75, 228, 84, 218)(77, 229, 85, 224, 80, 230, 86, 221)(78, 231, 87, 223, 79, 232, 88, 222)(89, 241, 97, 236, 92, 242, 98, 233)(90, 243, 99, 235, 91, 244, 100, 234)(93, 245, 101, 240, 96, 246, 102, 237)(94, 247, 103, 239, 95, 248, 104, 238)(105, 257, 113, 252, 108, 258, 114, 249)(106, 259, 115, 251, 107, 260, 116, 250)(109, 261, 117, 256, 112, 262, 118, 253)(110, 263, 119, 255, 111, 264, 120, 254)(121, 273, 129, 268, 124, 274, 130, 265)(122, 275, 131, 267, 123, 276, 132, 266)(125, 277, 133, 272, 128, 278, 134, 269)(126, 279, 135, 271, 127, 280, 136, 270)(137, 285, 141, 284, 140, 288, 144, 281)(138, 287, 143, 283, 139, 286, 142, 282)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 27)(13, 24)(15, 25)(17, 28)(18, 29)(20, 31)(21, 32)(22, 30)(33, 41)(34, 43)(35, 44)(36, 42)(37, 45)(38, 47)(39, 48)(40, 46)(49, 57)(50, 59)(51, 60)(52, 58)(53, 61)(54, 63)(55, 64)(56, 62)(65, 73)(66, 75)(67, 76)(68, 74)(69, 77)(70, 79)(71, 80)(72, 78)(81, 89)(82, 91)(83, 92)(84, 90)(85, 93)(86, 95)(87, 96)(88, 94)(97, 105)(98, 107)(99, 108)(100, 106)(101, 109)(102, 111)(103, 112)(104, 110)(113, 121)(114, 123)(115, 124)(116, 122)(117, 125)(118, 127)(119, 128)(120, 126)(129, 137)(130, 139)(131, 140)(132, 138)(133, 141)(134, 143)(135, 144)(136, 142)(145, 148)(146, 152)(147, 154)(149, 159)(150, 161)(151, 163)(153, 168)(155, 171)(156, 170)(157, 167)(158, 169)(160, 172)(162, 174)(164, 176)(165, 175)(166, 173)(177, 186)(178, 188)(179, 187)(180, 185)(181, 190)(182, 192)(183, 191)(184, 189)(193, 202)(194, 204)(195, 203)(196, 201)(197, 206)(198, 208)(199, 207)(200, 205)(209, 218)(210, 220)(211, 219)(212, 217)(213, 222)(214, 224)(215, 223)(216, 221)(225, 234)(226, 236)(227, 235)(228, 233)(229, 238)(230, 240)(231, 239)(232, 237)(241, 250)(242, 252)(243, 251)(244, 249)(245, 254)(246, 256)(247, 255)(248, 253)(257, 266)(258, 268)(259, 267)(260, 265)(261, 270)(262, 272)(263, 271)(264, 269)(273, 282)(274, 284)(275, 283)(276, 281)(277, 286)(278, 288)(279, 287)(280, 285)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2056
Transitivity :: VT+ AT
Graph:: bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.2058 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
Aut   = $<288, 835>$ (small group id <288, 835>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1, (Y3 * Y1)^18 ]
Map:: polytopal
	R = (1, 145, 4, 148)(2, 146, 6, 150)(3, 147, 7, 151)(5, 149, 10, 154)(8, 152, 16, 160)(9, 153, 17, 161)(11, 155, 21, 165)(12, 156, 22, 166)(13, 157, 24, 168)(14, 158, 25, 169)(15, 159, 26, 170)(18, 162, 32, 176)(19, 163, 33, 177)(20, 164, 34, 178)(23, 167, 39, 183)(27, 171, 40, 184)(28, 172, 41, 185)(29, 173, 42, 186)(30, 174, 43, 187)(31, 175, 44, 188)(35, 179, 45, 189)(36, 180, 46, 190)(37, 181, 47, 191)(38, 182, 48, 192)(49, 193, 57, 201)(50, 194, 58, 202)(51, 195, 59, 203)(52, 196, 60, 204)(53, 197, 61, 205)(54, 198, 62, 206)(55, 199, 63, 207)(56, 200, 64, 208)(65, 209, 73, 217)(66, 210, 74, 218)(67, 211, 75, 219)(68, 212, 76, 220)(69, 213, 77, 221)(70, 214, 78, 222)(71, 215, 79, 223)(72, 216, 80, 224)(81, 225, 89, 233)(82, 226, 90, 234)(83, 227, 91, 235)(84, 228, 92, 236)(85, 229, 93, 237)(86, 230, 94, 238)(87, 231, 95, 239)(88, 232, 96, 240)(97, 241, 105, 249)(98, 242, 106, 250)(99, 243, 107, 251)(100, 244, 108, 252)(101, 245, 109, 253)(102, 246, 110, 254)(103, 247, 111, 255)(104, 248, 112, 256)(113, 257, 121, 265)(114, 258, 122, 266)(115, 259, 123, 267)(116, 260, 124, 268)(117, 261, 125, 269)(118, 262, 126, 270)(119, 263, 127, 271)(120, 264, 128, 272)(129, 273, 137, 281)(130, 274, 138, 282)(131, 275, 139, 283)(132, 276, 140, 284)(133, 277, 141, 285)(134, 278, 142, 286)(135, 279, 143, 287)(136, 280, 144, 288)(289, 290)(291, 293)(292, 296)(294, 299)(295, 301)(297, 303)(298, 306)(300, 308)(302, 311)(304, 315)(305, 317)(307, 319)(309, 323)(310, 325)(312, 326)(313, 324)(314, 327)(316, 321)(318, 320)(322, 332)(328, 337)(329, 339)(330, 340)(331, 338)(333, 341)(334, 343)(335, 344)(336, 342)(345, 353)(346, 355)(347, 356)(348, 354)(349, 357)(350, 359)(351, 360)(352, 358)(361, 369)(362, 371)(363, 372)(364, 370)(365, 373)(366, 375)(367, 376)(368, 374)(377, 385)(378, 387)(379, 388)(380, 386)(381, 389)(382, 391)(383, 392)(384, 390)(393, 401)(394, 403)(395, 404)(396, 402)(397, 405)(398, 407)(399, 408)(400, 406)(409, 417)(410, 419)(411, 420)(412, 418)(413, 421)(414, 423)(415, 424)(416, 422)(425, 429)(426, 431)(427, 430)(428, 432)(433, 435)(434, 437)(436, 441)(438, 444)(439, 446)(440, 447)(442, 451)(443, 452)(445, 455)(448, 460)(449, 462)(450, 463)(453, 468)(454, 470)(456, 469)(457, 467)(458, 466)(459, 465)(461, 464)(471, 476)(472, 482)(473, 484)(474, 483)(475, 481)(477, 486)(478, 488)(479, 487)(480, 485)(489, 498)(490, 500)(491, 499)(492, 497)(493, 502)(494, 504)(495, 503)(496, 501)(505, 514)(506, 516)(507, 515)(508, 513)(509, 518)(510, 520)(511, 519)(512, 517)(521, 530)(522, 532)(523, 531)(524, 529)(525, 534)(526, 536)(527, 535)(528, 533)(537, 546)(538, 548)(539, 547)(540, 545)(541, 550)(542, 552)(543, 551)(544, 549)(553, 562)(554, 564)(555, 563)(556, 561)(557, 566)(558, 568)(559, 567)(560, 565)(569, 576)(570, 574)(571, 575)(572, 573)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2061
Graph:: simple bipartite
	v = 216 e = 288 f = 36
	degree seq :: [ 2^144, 4^72 ]

E19.2059 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
Aut   = $<288, 835>$ (small group id <288, 835>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 145, 4, 148, 13, 157, 5, 149)(2, 146, 7, 151, 20, 164, 8, 152)(3, 147, 9, 153, 23, 167, 10, 154)(6, 150, 16, 160, 28, 172, 17, 161)(11, 155, 24, 168, 15, 159, 25, 169)(12, 156, 26, 170, 14, 158, 27, 171)(18, 162, 29, 173, 22, 166, 30, 174)(19, 163, 31, 175, 21, 165, 32, 176)(33, 177, 41, 185, 36, 180, 42, 186)(34, 178, 43, 187, 35, 179, 44, 188)(37, 181, 45, 189, 40, 184, 46, 190)(38, 182, 47, 191, 39, 183, 48, 192)(49, 193, 57, 201, 52, 196, 58, 202)(50, 194, 59, 203, 51, 195, 60, 204)(53, 197, 61, 205, 56, 200, 62, 206)(54, 198, 63, 207, 55, 199, 64, 208)(65, 209, 73, 217, 68, 212, 74, 218)(66, 210, 75, 219, 67, 211, 76, 220)(69, 213, 77, 221, 72, 216, 78, 222)(70, 214, 79, 223, 71, 215, 80, 224)(81, 225, 89, 233, 84, 228, 90, 234)(82, 226, 91, 235, 83, 227, 92, 236)(85, 229, 93, 237, 88, 232, 94, 238)(86, 230, 95, 239, 87, 231, 96, 240)(97, 241, 105, 249, 100, 244, 106, 250)(98, 242, 107, 251, 99, 243, 108, 252)(101, 245, 109, 253, 104, 248, 110, 254)(102, 246, 111, 255, 103, 247, 112, 256)(113, 257, 121, 265, 116, 260, 122, 266)(114, 258, 123, 267, 115, 259, 124, 268)(117, 261, 125, 269, 120, 264, 126, 270)(118, 262, 127, 271, 119, 263, 128, 272)(129, 273, 137, 281, 132, 276, 138, 282)(130, 274, 139, 283, 131, 275, 140, 284)(133, 277, 141, 285, 136, 280, 142, 286)(134, 278, 143, 287, 135, 279, 144, 288)(289, 290)(291, 294)(292, 299)(293, 302)(295, 306)(296, 309)(297, 310)(298, 307)(300, 305)(301, 311)(303, 304)(308, 316)(312, 321)(313, 323)(314, 324)(315, 322)(317, 325)(318, 327)(319, 328)(320, 326)(329, 337)(330, 339)(331, 340)(332, 338)(333, 341)(334, 343)(335, 344)(336, 342)(345, 353)(346, 355)(347, 356)(348, 354)(349, 357)(350, 359)(351, 360)(352, 358)(361, 369)(362, 371)(363, 372)(364, 370)(365, 373)(366, 375)(367, 376)(368, 374)(377, 385)(378, 387)(379, 388)(380, 386)(381, 389)(382, 391)(383, 392)(384, 390)(393, 401)(394, 403)(395, 404)(396, 402)(397, 405)(398, 407)(399, 408)(400, 406)(409, 417)(410, 419)(411, 420)(412, 418)(413, 421)(414, 423)(415, 424)(416, 422)(425, 429)(426, 431)(427, 430)(428, 432)(433, 435)(434, 438)(436, 444)(437, 447)(439, 451)(440, 454)(441, 453)(442, 450)(443, 449)(445, 452)(446, 448)(455, 460)(456, 466)(457, 468)(458, 467)(459, 465)(461, 470)(462, 472)(463, 471)(464, 469)(473, 482)(474, 484)(475, 483)(476, 481)(477, 486)(478, 488)(479, 487)(480, 485)(489, 498)(490, 500)(491, 499)(492, 497)(493, 502)(494, 504)(495, 503)(496, 501)(505, 514)(506, 516)(507, 515)(508, 513)(509, 518)(510, 520)(511, 519)(512, 517)(521, 530)(522, 532)(523, 531)(524, 529)(525, 534)(526, 536)(527, 535)(528, 533)(537, 546)(538, 548)(539, 547)(540, 545)(541, 550)(542, 552)(543, 551)(544, 549)(553, 562)(554, 564)(555, 563)(556, 561)(557, 566)(558, 568)(559, 567)(560, 565)(569, 576)(570, 574)(571, 575)(572, 573)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2060
Graph:: simple bipartite
	v = 180 e = 288 f = 72
	degree seq :: [ 2^144, 8^36 ]

E19.2060 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
Aut   = $<288, 835>$ (small group id <288, 835>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1, (Y3 * Y1)^18 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436)(2, 146, 290, 434, 6, 150, 294, 438)(3, 147, 291, 435, 7, 151, 295, 439)(5, 149, 293, 437, 10, 154, 298, 442)(8, 152, 296, 440, 16, 160, 304, 448)(9, 153, 297, 441, 17, 161, 305, 449)(11, 155, 299, 443, 21, 165, 309, 453)(12, 156, 300, 444, 22, 166, 310, 454)(13, 157, 301, 445, 24, 168, 312, 456)(14, 158, 302, 446, 25, 169, 313, 457)(15, 159, 303, 447, 26, 170, 314, 458)(18, 162, 306, 450, 32, 176, 320, 464)(19, 163, 307, 451, 33, 177, 321, 465)(20, 164, 308, 452, 34, 178, 322, 466)(23, 167, 311, 455, 39, 183, 327, 471)(27, 171, 315, 459, 40, 184, 328, 472)(28, 172, 316, 460, 41, 185, 329, 473)(29, 173, 317, 461, 42, 186, 330, 474)(30, 174, 318, 462, 43, 187, 331, 475)(31, 175, 319, 463, 44, 188, 332, 476)(35, 179, 323, 467, 45, 189, 333, 477)(36, 180, 324, 468, 46, 190, 334, 478)(37, 181, 325, 469, 47, 191, 335, 479)(38, 182, 326, 470, 48, 192, 336, 480)(49, 193, 337, 481, 57, 201, 345, 489)(50, 194, 338, 482, 58, 202, 346, 490)(51, 195, 339, 483, 59, 203, 347, 491)(52, 196, 340, 484, 60, 204, 348, 492)(53, 197, 341, 485, 61, 205, 349, 493)(54, 198, 342, 486, 62, 206, 350, 494)(55, 199, 343, 487, 63, 207, 351, 495)(56, 200, 344, 488, 64, 208, 352, 496)(65, 209, 353, 497, 73, 217, 361, 505)(66, 210, 354, 498, 74, 218, 362, 506)(67, 211, 355, 499, 75, 219, 363, 507)(68, 212, 356, 500, 76, 220, 364, 508)(69, 213, 357, 501, 77, 221, 365, 509)(70, 214, 358, 502, 78, 222, 366, 510)(71, 215, 359, 503, 79, 223, 367, 511)(72, 216, 360, 504, 80, 224, 368, 512)(81, 225, 369, 513, 89, 233, 377, 521)(82, 226, 370, 514, 90, 234, 378, 522)(83, 227, 371, 515, 91, 235, 379, 523)(84, 228, 372, 516, 92, 236, 380, 524)(85, 229, 373, 517, 93, 237, 381, 525)(86, 230, 374, 518, 94, 238, 382, 526)(87, 231, 375, 519, 95, 239, 383, 527)(88, 232, 376, 520, 96, 240, 384, 528)(97, 241, 385, 529, 105, 249, 393, 537)(98, 242, 386, 530, 106, 250, 394, 538)(99, 243, 387, 531, 107, 251, 395, 539)(100, 244, 388, 532, 108, 252, 396, 540)(101, 245, 389, 533, 109, 253, 397, 541)(102, 246, 390, 534, 110, 254, 398, 542)(103, 247, 391, 535, 111, 255, 399, 543)(104, 248, 392, 536, 112, 256, 400, 544)(113, 257, 401, 545, 121, 265, 409, 553)(114, 258, 402, 546, 122, 266, 410, 554)(115, 259, 403, 547, 123, 267, 411, 555)(116, 260, 404, 548, 124, 268, 412, 556)(117, 261, 405, 549, 125, 269, 413, 557)(118, 262, 406, 550, 126, 270, 414, 558)(119, 263, 407, 551, 127, 271, 415, 559)(120, 264, 408, 552, 128, 272, 416, 560)(129, 273, 417, 561, 137, 281, 425, 569)(130, 274, 418, 562, 138, 282, 426, 570)(131, 275, 419, 563, 139, 283, 427, 571)(132, 276, 420, 564, 140, 284, 428, 572)(133, 277, 421, 565, 141, 285, 429, 573)(134, 278, 422, 566, 142, 286, 430, 574)(135, 279, 423, 567, 143, 287, 431, 575)(136, 280, 424, 568, 144, 288, 432, 576)
	L = (1, 146)(2, 145)(3, 149)(4, 152)(5, 147)(6, 155)(7, 157)(8, 148)(9, 159)(10, 162)(11, 150)(12, 164)(13, 151)(14, 167)(15, 153)(16, 171)(17, 173)(18, 154)(19, 175)(20, 156)(21, 179)(22, 181)(23, 158)(24, 182)(25, 180)(26, 183)(27, 160)(28, 177)(29, 161)(30, 176)(31, 163)(32, 174)(33, 172)(34, 188)(35, 165)(36, 169)(37, 166)(38, 168)(39, 170)(40, 193)(41, 195)(42, 196)(43, 194)(44, 178)(45, 197)(46, 199)(47, 200)(48, 198)(49, 184)(50, 187)(51, 185)(52, 186)(53, 189)(54, 192)(55, 190)(56, 191)(57, 209)(58, 211)(59, 212)(60, 210)(61, 213)(62, 215)(63, 216)(64, 214)(65, 201)(66, 204)(67, 202)(68, 203)(69, 205)(70, 208)(71, 206)(72, 207)(73, 225)(74, 227)(75, 228)(76, 226)(77, 229)(78, 231)(79, 232)(80, 230)(81, 217)(82, 220)(83, 218)(84, 219)(85, 221)(86, 224)(87, 222)(88, 223)(89, 241)(90, 243)(91, 244)(92, 242)(93, 245)(94, 247)(95, 248)(96, 246)(97, 233)(98, 236)(99, 234)(100, 235)(101, 237)(102, 240)(103, 238)(104, 239)(105, 257)(106, 259)(107, 260)(108, 258)(109, 261)(110, 263)(111, 264)(112, 262)(113, 249)(114, 252)(115, 250)(116, 251)(117, 253)(118, 256)(119, 254)(120, 255)(121, 273)(122, 275)(123, 276)(124, 274)(125, 277)(126, 279)(127, 280)(128, 278)(129, 265)(130, 268)(131, 266)(132, 267)(133, 269)(134, 272)(135, 270)(136, 271)(137, 285)(138, 287)(139, 286)(140, 288)(141, 281)(142, 283)(143, 282)(144, 284)(289, 435)(290, 437)(291, 433)(292, 441)(293, 434)(294, 444)(295, 446)(296, 447)(297, 436)(298, 451)(299, 452)(300, 438)(301, 455)(302, 439)(303, 440)(304, 460)(305, 462)(306, 463)(307, 442)(308, 443)(309, 468)(310, 470)(311, 445)(312, 469)(313, 467)(314, 466)(315, 465)(316, 448)(317, 464)(318, 449)(319, 450)(320, 461)(321, 459)(322, 458)(323, 457)(324, 453)(325, 456)(326, 454)(327, 476)(328, 482)(329, 484)(330, 483)(331, 481)(332, 471)(333, 486)(334, 488)(335, 487)(336, 485)(337, 475)(338, 472)(339, 474)(340, 473)(341, 480)(342, 477)(343, 479)(344, 478)(345, 498)(346, 500)(347, 499)(348, 497)(349, 502)(350, 504)(351, 503)(352, 501)(353, 492)(354, 489)(355, 491)(356, 490)(357, 496)(358, 493)(359, 495)(360, 494)(361, 514)(362, 516)(363, 515)(364, 513)(365, 518)(366, 520)(367, 519)(368, 517)(369, 508)(370, 505)(371, 507)(372, 506)(373, 512)(374, 509)(375, 511)(376, 510)(377, 530)(378, 532)(379, 531)(380, 529)(381, 534)(382, 536)(383, 535)(384, 533)(385, 524)(386, 521)(387, 523)(388, 522)(389, 528)(390, 525)(391, 527)(392, 526)(393, 546)(394, 548)(395, 547)(396, 545)(397, 550)(398, 552)(399, 551)(400, 549)(401, 540)(402, 537)(403, 539)(404, 538)(405, 544)(406, 541)(407, 543)(408, 542)(409, 562)(410, 564)(411, 563)(412, 561)(413, 566)(414, 568)(415, 567)(416, 565)(417, 556)(418, 553)(419, 555)(420, 554)(421, 560)(422, 557)(423, 559)(424, 558)(425, 576)(426, 574)(427, 575)(428, 573)(429, 572)(430, 570)(431, 571)(432, 569)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2059
Transitivity :: VT+
Graph:: bipartite
	v = 72 e = 288 f = 180
	degree seq :: [ 8^72 ]

E19.2061 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
Aut   = $<288, 835>$ (small group id <288, 835>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436, 13, 157, 301, 445, 5, 149, 293, 437)(2, 146, 290, 434, 7, 151, 295, 439, 20, 164, 308, 452, 8, 152, 296, 440)(3, 147, 291, 435, 9, 153, 297, 441, 23, 167, 311, 455, 10, 154, 298, 442)(6, 150, 294, 438, 16, 160, 304, 448, 28, 172, 316, 460, 17, 161, 305, 449)(11, 155, 299, 443, 24, 168, 312, 456, 15, 159, 303, 447, 25, 169, 313, 457)(12, 156, 300, 444, 26, 170, 314, 458, 14, 158, 302, 446, 27, 171, 315, 459)(18, 162, 306, 450, 29, 173, 317, 461, 22, 166, 310, 454, 30, 174, 318, 462)(19, 163, 307, 451, 31, 175, 319, 463, 21, 165, 309, 453, 32, 176, 320, 464)(33, 177, 321, 465, 41, 185, 329, 473, 36, 180, 324, 468, 42, 186, 330, 474)(34, 178, 322, 466, 43, 187, 331, 475, 35, 179, 323, 467, 44, 188, 332, 476)(37, 181, 325, 469, 45, 189, 333, 477, 40, 184, 328, 472, 46, 190, 334, 478)(38, 182, 326, 470, 47, 191, 335, 479, 39, 183, 327, 471, 48, 192, 336, 480)(49, 193, 337, 481, 57, 201, 345, 489, 52, 196, 340, 484, 58, 202, 346, 490)(50, 194, 338, 482, 59, 203, 347, 491, 51, 195, 339, 483, 60, 204, 348, 492)(53, 197, 341, 485, 61, 205, 349, 493, 56, 200, 344, 488, 62, 206, 350, 494)(54, 198, 342, 486, 63, 207, 351, 495, 55, 199, 343, 487, 64, 208, 352, 496)(65, 209, 353, 497, 73, 217, 361, 505, 68, 212, 356, 500, 74, 218, 362, 506)(66, 210, 354, 498, 75, 219, 363, 507, 67, 211, 355, 499, 76, 220, 364, 508)(69, 213, 357, 501, 77, 221, 365, 509, 72, 216, 360, 504, 78, 222, 366, 510)(70, 214, 358, 502, 79, 223, 367, 511, 71, 215, 359, 503, 80, 224, 368, 512)(81, 225, 369, 513, 89, 233, 377, 521, 84, 228, 372, 516, 90, 234, 378, 522)(82, 226, 370, 514, 91, 235, 379, 523, 83, 227, 371, 515, 92, 236, 380, 524)(85, 229, 373, 517, 93, 237, 381, 525, 88, 232, 376, 520, 94, 238, 382, 526)(86, 230, 374, 518, 95, 239, 383, 527, 87, 231, 375, 519, 96, 240, 384, 528)(97, 241, 385, 529, 105, 249, 393, 537, 100, 244, 388, 532, 106, 250, 394, 538)(98, 242, 386, 530, 107, 251, 395, 539, 99, 243, 387, 531, 108, 252, 396, 540)(101, 245, 389, 533, 109, 253, 397, 541, 104, 248, 392, 536, 110, 254, 398, 542)(102, 246, 390, 534, 111, 255, 399, 543, 103, 247, 391, 535, 112, 256, 400, 544)(113, 257, 401, 545, 121, 265, 409, 553, 116, 260, 404, 548, 122, 266, 410, 554)(114, 258, 402, 546, 123, 267, 411, 555, 115, 259, 403, 547, 124, 268, 412, 556)(117, 261, 405, 549, 125, 269, 413, 557, 120, 264, 408, 552, 126, 270, 414, 558)(118, 262, 406, 550, 127, 271, 415, 559, 119, 263, 407, 551, 128, 272, 416, 560)(129, 273, 417, 561, 137, 281, 425, 569, 132, 276, 420, 564, 138, 282, 426, 570)(130, 274, 418, 562, 139, 283, 427, 571, 131, 275, 419, 563, 140, 284, 428, 572)(133, 277, 421, 565, 141, 285, 429, 573, 136, 280, 424, 568, 142, 286, 430, 574)(134, 278, 422, 566, 143, 287, 431, 575, 135, 279, 423, 567, 144, 288, 432, 576)
	L = (1, 146)(2, 145)(3, 150)(4, 155)(5, 158)(6, 147)(7, 162)(8, 165)(9, 166)(10, 163)(11, 148)(12, 161)(13, 167)(14, 149)(15, 160)(16, 159)(17, 156)(18, 151)(19, 154)(20, 172)(21, 152)(22, 153)(23, 157)(24, 177)(25, 179)(26, 180)(27, 178)(28, 164)(29, 181)(30, 183)(31, 184)(32, 182)(33, 168)(34, 171)(35, 169)(36, 170)(37, 173)(38, 176)(39, 174)(40, 175)(41, 193)(42, 195)(43, 196)(44, 194)(45, 197)(46, 199)(47, 200)(48, 198)(49, 185)(50, 188)(51, 186)(52, 187)(53, 189)(54, 192)(55, 190)(56, 191)(57, 209)(58, 211)(59, 212)(60, 210)(61, 213)(62, 215)(63, 216)(64, 214)(65, 201)(66, 204)(67, 202)(68, 203)(69, 205)(70, 208)(71, 206)(72, 207)(73, 225)(74, 227)(75, 228)(76, 226)(77, 229)(78, 231)(79, 232)(80, 230)(81, 217)(82, 220)(83, 218)(84, 219)(85, 221)(86, 224)(87, 222)(88, 223)(89, 241)(90, 243)(91, 244)(92, 242)(93, 245)(94, 247)(95, 248)(96, 246)(97, 233)(98, 236)(99, 234)(100, 235)(101, 237)(102, 240)(103, 238)(104, 239)(105, 257)(106, 259)(107, 260)(108, 258)(109, 261)(110, 263)(111, 264)(112, 262)(113, 249)(114, 252)(115, 250)(116, 251)(117, 253)(118, 256)(119, 254)(120, 255)(121, 273)(122, 275)(123, 276)(124, 274)(125, 277)(126, 279)(127, 280)(128, 278)(129, 265)(130, 268)(131, 266)(132, 267)(133, 269)(134, 272)(135, 270)(136, 271)(137, 285)(138, 287)(139, 286)(140, 288)(141, 281)(142, 283)(143, 282)(144, 284)(289, 435)(290, 438)(291, 433)(292, 444)(293, 447)(294, 434)(295, 451)(296, 454)(297, 453)(298, 450)(299, 449)(300, 436)(301, 452)(302, 448)(303, 437)(304, 446)(305, 443)(306, 442)(307, 439)(308, 445)(309, 441)(310, 440)(311, 460)(312, 466)(313, 468)(314, 467)(315, 465)(316, 455)(317, 470)(318, 472)(319, 471)(320, 469)(321, 459)(322, 456)(323, 458)(324, 457)(325, 464)(326, 461)(327, 463)(328, 462)(329, 482)(330, 484)(331, 483)(332, 481)(333, 486)(334, 488)(335, 487)(336, 485)(337, 476)(338, 473)(339, 475)(340, 474)(341, 480)(342, 477)(343, 479)(344, 478)(345, 498)(346, 500)(347, 499)(348, 497)(349, 502)(350, 504)(351, 503)(352, 501)(353, 492)(354, 489)(355, 491)(356, 490)(357, 496)(358, 493)(359, 495)(360, 494)(361, 514)(362, 516)(363, 515)(364, 513)(365, 518)(366, 520)(367, 519)(368, 517)(369, 508)(370, 505)(371, 507)(372, 506)(373, 512)(374, 509)(375, 511)(376, 510)(377, 530)(378, 532)(379, 531)(380, 529)(381, 534)(382, 536)(383, 535)(384, 533)(385, 524)(386, 521)(387, 523)(388, 522)(389, 528)(390, 525)(391, 527)(392, 526)(393, 546)(394, 548)(395, 547)(396, 545)(397, 550)(398, 552)(399, 551)(400, 549)(401, 540)(402, 537)(403, 539)(404, 538)(405, 544)(406, 541)(407, 543)(408, 542)(409, 562)(410, 564)(411, 563)(412, 561)(413, 566)(414, 568)(415, 567)(416, 565)(417, 556)(418, 553)(419, 555)(420, 554)(421, 560)(422, 557)(423, 559)(424, 558)(425, 576)(426, 574)(427, 575)(428, 573)(429, 572)(430, 570)(431, 571)(432, 569)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2058
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 288 f = 216
	degree seq :: [ 16^36 ]

E19.2062 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
Aut   = $<288, 835>$ (small group id <288, 835>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y3)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y1)^4, Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^18 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 10, 154)(6, 150, 12, 156)(8, 152, 15, 159)(11, 155, 20, 164)(13, 157, 23, 167)(14, 158, 25, 169)(16, 160, 28, 172)(17, 161, 22, 166)(18, 162, 30, 174)(19, 163, 29, 173)(21, 165, 27, 171)(24, 168, 35, 179)(26, 170, 36, 180)(31, 175, 41, 185)(32, 176, 42, 186)(33, 177, 43, 187)(34, 178, 37, 181)(38, 182, 40, 184)(39, 183, 47, 191)(44, 188, 53, 197)(45, 189, 54, 198)(46, 190, 52, 196)(48, 192, 57, 201)(49, 193, 58, 202)(50, 194, 56, 200)(51, 195, 59, 203)(55, 199, 63, 207)(60, 204, 69, 213)(61, 205, 70, 214)(62, 206, 68, 212)(64, 208, 83, 227)(65, 209, 92, 236)(66, 210, 77, 221)(67, 211, 76, 220)(71, 215, 119, 263)(72, 216, 118, 262)(73, 217, 122, 266)(74, 218, 111, 255)(75, 219, 125, 269)(78, 222, 127, 271)(79, 223, 115, 259)(80, 224, 124, 268)(81, 225, 128, 272)(82, 226, 133, 277)(84, 228, 132, 276)(85, 229, 117, 261)(86, 230, 136, 280)(87, 231, 130, 274)(88, 232, 135, 279)(89, 233, 129, 273)(90, 234, 121, 265)(91, 235, 138, 282)(93, 237, 120, 264)(94, 238, 131, 275)(95, 239, 140, 284)(96, 240, 139, 283)(97, 241, 123, 267)(98, 242, 126, 270)(99, 243, 142, 286)(100, 244, 137, 281)(101, 245, 143, 287)(102, 246, 134, 278)(103, 247, 141, 285)(104, 248, 144, 288)(105, 249, 116, 260)(106, 250, 114, 258)(107, 251, 110, 254)(108, 252, 112, 256)(109, 253, 113, 257)(289, 433, 291, 435)(290, 434, 293, 437)(292, 436, 296, 440)(294, 438, 299, 443)(295, 439, 301, 445)(297, 441, 304, 448)(298, 442, 306, 450)(300, 444, 309, 453)(302, 446, 312, 456)(303, 447, 314, 458)(305, 449, 317, 461)(307, 451, 319, 463)(308, 452, 320, 464)(310, 454, 313, 457)(311, 455, 321, 465)(315, 459, 325, 469)(316, 460, 326, 470)(318, 462, 327, 471)(322, 466, 332, 476)(323, 467, 333, 477)(324, 468, 334, 478)(328, 472, 336, 480)(329, 473, 337, 481)(330, 474, 338, 482)(331, 475, 339, 483)(335, 479, 343, 487)(340, 484, 348, 492)(341, 485, 349, 493)(342, 486, 350, 494)(344, 488, 352, 496)(345, 489, 353, 497)(346, 490, 354, 498)(347, 491, 355, 499)(351, 495, 399, 543)(356, 500, 403, 547)(357, 501, 405, 549)(358, 502, 406, 550)(359, 503, 408, 552)(360, 504, 409, 553)(361, 505, 411, 555)(362, 506, 412, 556)(363, 507, 414, 558)(364, 508, 415, 559)(365, 509, 416, 560)(366, 510, 417, 561)(367, 511, 418, 562)(368, 512, 419, 563)(369, 513, 420, 564)(370, 514, 422, 566)(371, 515, 423, 567)(372, 516, 424, 568)(373, 517, 410, 554)(374, 518, 404, 548)(375, 519, 421, 565)(376, 520, 413, 557)(377, 521, 425, 569)(378, 522, 426, 570)(379, 523, 427, 571)(380, 524, 407, 551)(381, 525, 428, 572)(382, 526, 429, 573)(383, 527, 430, 574)(384, 528, 395, 539)(385, 529, 431, 575)(386, 530, 432, 576)(387, 531, 394, 538)(388, 532, 400, 544)(389, 533, 402, 546)(390, 534, 401, 545)(391, 535, 396, 540)(392, 536, 398, 542)(393, 537, 397, 541)
	L = (1, 292)(2, 294)(3, 296)(4, 289)(5, 299)(6, 290)(7, 302)(8, 291)(9, 305)(10, 307)(11, 293)(12, 310)(13, 312)(14, 295)(15, 315)(16, 317)(17, 297)(18, 319)(19, 298)(20, 316)(21, 313)(22, 300)(23, 322)(24, 301)(25, 309)(26, 325)(27, 303)(28, 308)(29, 304)(30, 328)(31, 306)(32, 326)(33, 332)(34, 311)(35, 324)(36, 323)(37, 314)(38, 320)(39, 336)(40, 318)(41, 330)(42, 329)(43, 340)(44, 321)(45, 334)(46, 333)(47, 344)(48, 327)(49, 338)(50, 337)(51, 348)(52, 331)(53, 342)(54, 341)(55, 352)(56, 335)(57, 346)(58, 345)(59, 356)(60, 339)(61, 350)(62, 349)(63, 365)(64, 343)(65, 354)(66, 353)(67, 403)(68, 347)(69, 358)(70, 357)(71, 362)(72, 364)(73, 366)(74, 359)(75, 368)(76, 360)(77, 351)(78, 361)(79, 373)(80, 363)(81, 376)(82, 377)(83, 380)(84, 381)(85, 367)(86, 382)(87, 378)(88, 369)(89, 370)(90, 375)(91, 385)(92, 371)(93, 372)(94, 374)(95, 386)(96, 388)(97, 379)(98, 383)(99, 391)(100, 384)(101, 390)(102, 389)(103, 387)(104, 393)(105, 392)(106, 396)(107, 400)(108, 394)(109, 398)(110, 397)(111, 416)(112, 395)(113, 402)(114, 401)(115, 355)(116, 429)(117, 406)(118, 405)(119, 423)(120, 412)(121, 415)(122, 418)(123, 417)(124, 408)(125, 420)(126, 419)(127, 409)(128, 399)(129, 411)(130, 410)(131, 414)(132, 413)(133, 426)(134, 425)(135, 407)(136, 428)(137, 422)(138, 421)(139, 431)(140, 424)(141, 404)(142, 432)(143, 427)(144, 430)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2065
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2063 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
Aut   = $<288, 835>$ (small group id <288, 835>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^4, (Y3 * Y1 * Y2 * Y1 * Y2 * Y1)^2, (Y2 * Y1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 10, 154)(6, 150, 12, 156)(8, 152, 15, 159)(11, 155, 20, 164)(13, 157, 23, 167)(14, 158, 25, 169)(16, 160, 28, 172)(17, 161, 22, 166)(18, 162, 30, 174)(19, 163, 32, 176)(21, 165, 35, 179)(24, 168, 39, 183)(26, 170, 42, 186)(27, 171, 41, 185)(29, 173, 46, 190)(31, 175, 49, 193)(33, 177, 52, 196)(34, 178, 51, 195)(36, 180, 56, 200)(37, 181, 57, 201)(38, 182, 54, 198)(40, 184, 50, 194)(43, 187, 64, 208)(44, 188, 48, 192)(45, 189, 66, 210)(47, 191, 69, 213)(53, 197, 76, 220)(55, 199, 78, 222)(58, 202, 83, 227)(59, 203, 84, 228)(60, 204, 77, 221)(61, 205, 86, 230)(62, 206, 82, 226)(63, 207, 79, 223)(65, 209, 72, 216)(67, 211, 75, 219)(68, 212, 90, 234)(70, 214, 94, 238)(71, 215, 95, 239)(73, 217, 97, 241)(74, 218, 93, 237)(80, 224, 101, 245)(81, 225, 103, 247)(85, 229, 109, 253)(87, 231, 106, 250)(88, 232, 108, 252)(89, 233, 102, 246)(91, 235, 100, 244)(92, 236, 112, 256)(96, 240, 118, 262)(98, 242, 115, 259)(99, 243, 117, 261)(104, 248, 122, 266)(105, 249, 123, 267)(107, 251, 121, 265)(110, 254, 119, 263)(111, 255, 127, 271)(113, 257, 129, 273)(114, 258, 130, 274)(116, 260, 128, 272)(120, 264, 134, 278)(124, 268, 137, 281)(125, 269, 135, 279)(126, 270, 136, 280)(131, 275, 141, 285)(132, 276, 139, 283)(133, 277, 140, 284)(138, 282, 143, 287)(142, 286, 144, 288)(289, 433, 291, 435)(290, 434, 293, 437)(292, 436, 296, 440)(294, 438, 299, 443)(295, 439, 301, 445)(297, 441, 304, 448)(298, 442, 306, 450)(300, 444, 309, 453)(302, 446, 312, 456)(303, 447, 314, 458)(305, 449, 317, 461)(307, 451, 319, 463)(308, 452, 321, 465)(310, 454, 324, 468)(311, 455, 325, 469)(313, 457, 328, 472)(315, 459, 331, 475)(316, 460, 332, 476)(318, 462, 335, 479)(320, 464, 338, 482)(322, 466, 341, 485)(323, 467, 342, 486)(326, 470, 346, 490)(327, 471, 347, 491)(329, 473, 349, 493)(330, 474, 350, 494)(333, 477, 353, 497)(334, 478, 355, 499)(336, 480, 358, 502)(337, 481, 359, 503)(339, 483, 361, 505)(340, 484, 362, 506)(343, 487, 365, 509)(344, 488, 367, 511)(345, 489, 369, 513)(348, 492, 373, 517)(351, 495, 375, 519)(352, 496, 376, 520)(354, 498, 374, 518)(356, 500, 379, 523)(357, 501, 380, 524)(360, 504, 384, 528)(363, 507, 386, 530)(364, 508, 387, 531)(366, 510, 385, 529)(368, 512, 390, 534)(370, 514, 392, 536)(371, 515, 393, 537)(372, 516, 395, 539)(377, 521, 399, 543)(378, 522, 398, 542)(381, 525, 401, 545)(382, 526, 402, 546)(383, 527, 404, 548)(388, 532, 408, 552)(389, 533, 407, 551)(391, 535, 400, 544)(394, 538, 412, 556)(396, 540, 413, 557)(397, 541, 414, 558)(403, 547, 419, 563)(405, 549, 420, 564)(406, 550, 421, 565)(409, 553, 416, 560)(410, 554, 418, 562)(411, 555, 417, 561)(415, 559, 426, 570)(422, 566, 430, 574)(423, 567, 428, 572)(424, 568, 427, 571)(425, 569, 429, 573)(431, 575, 432, 576)
	L = (1, 292)(2, 294)(3, 296)(4, 289)(5, 299)(6, 290)(7, 302)(8, 291)(9, 305)(10, 307)(11, 293)(12, 310)(13, 312)(14, 295)(15, 315)(16, 317)(17, 297)(18, 319)(19, 298)(20, 322)(21, 324)(22, 300)(23, 326)(24, 301)(25, 329)(26, 331)(27, 303)(28, 333)(29, 304)(30, 336)(31, 306)(32, 339)(33, 341)(34, 308)(35, 343)(36, 309)(37, 346)(38, 311)(39, 348)(40, 349)(41, 313)(42, 351)(43, 314)(44, 353)(45, 316)(46, 356)(47, 358)(48, 318)(49, 360)(50, 361)(51, 320)(52, 363)(53, 321)(54, 365)(55, 323)(56, 368)(57, 370)(58, 325)(59, 373)(60, 327)(61, 328)(62, 375)(63, 330)(64, 377)(65, 332)(66, 378)(67, 379)(68, 334)(69, 381)(70, 335)(71, 384)(72, 337)(73, 338)(74, 386)(75, 340)(76, 388)(77, 342)(78, 389)(79, 390)(80, 344)(81, 392)(82, 345)(83, 394)(84, 396)(85, 347)(86, 398)(87, 350)(88, 399)(89, 352)(90, 354)(91, 355)(92, 401)(93, 357)(94, 403)(95, 405)(96, 359)(97, 407)(98, 362)(99, 408)(100, 364)(101, 366)(102, 367)(103, 409)(104, 369)(105, 412)(106, 371)(107, 413)(108, 372)(109, 415)(110, 374)(111, 376)(112, 416)(113, 380)(114, 419)(115, 382)(116, 420)(117, 383)(118, 422)(119, 385)(120, 387)(121, 391)(122, 423)(123, 424)(124, 393)(125, 395)(126, 426)(127, 397)(128, 400)(129, 427)(130, 428)(131, 402)(132, 404)(133, 430)(134, 406)(135, 410)(136, 411)(137, 431)(138, 414)(139, 417)(140, 418)(141, 432)(142, 421)(143, 425)(144, 429)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2066
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2064 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
Aut   = $<288, 835>$ (small group id <288, 835>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^4, (Y3 * Y1 * Y2 * Y1 * Y2 * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 10, 154)(6, 150, 12, 156)(8, 152, 15, 159)(11, 155, 20, 164)(13, 157, 23, 167)(14, 158, 25, 169)(16, 160, 28, 172)(17, 161, 22, 166)(18, 162, 30, 174)(19, 163, 32, 176)(21, 165, 35, 179)(24, 168, 39, 183)(26, 170, 42, 186)(27, 171, 41, 185)(29, 173, 46, 190)(31, 175, 49, 193)(33, 177, 52, 196)(34, 178, 51, 195)(36, 180, 56, 200)(37, 181, 57, 201)(38, 182, 54, 198)(40, 184, 50, 194)(43, 187, 64, 208)(44, 188, 48, 192)(45, 189, 66, 210)(47, 191, 69, 213)(53, 197, 76, 220)(55, 199, 78, 222)(58, 202, 83, 227)(59, 203, 84, 228)(60, 204, 77, 221)(61, 205, 86, 230)(62, 206, 82, 226)(63, 207, 79, 223)(65, 209, 72, 216)(67, 211, 75, 219)(68, 212, 90, 234)(70, 214, 94, 238)(71, 215, 95, 239)(73, 217, 97, 241)(74, 218, 93, 237)(80, 224, 101, 245)(81, 225, 103, 247)(85, 229, 109, 253)(87, 231, 106, 250)(88, 232, 108, 252)(89, 233, 102, 246)(91, 235, 100, 244)(92, 236, 112, 256)(96, 240, 118, 262)(98, 242, 115, 259)(99, 243, 117, 261)(104, 248, 123, 267)(105, 249, 124, 268)(107, 251, 122, 266)(110, 254, 119, 263)(111, 255, 128, 272)(113, 257, 131, 275)(114, 258, 132, 276)(116, 260, 130, 274)(120, 264, 136, 280)(121, 265, 137, 281)(125, 269, 143, 287)(126, 270, 140, 284)(127, 271, 142, 286)(129, 273, 144, 288)(133, 277, 138, 282)(134, 278, 139, 283)(135, 279, 141, 285)(289, 433, 291, 435)(290, 434, 293, 437)(292, 436, 296, 440)(294, 438, 299, 443)(295, 439, 301, 445)(297, 441, 304, 448)(298, 442, 306, 450)(300, 444, 309, 453)(302, 446, 312, 456)(303, 447, 314, 458)(305, 449, 317, 461)(307, 451, 319, 463)(308, 452, 321, 465)(310, 454, 324, 468)(311, 455, 325, 469)(313, 457, 328, 472)(315, 459, 331, 475)(316, 460, 332, 476)(318, 462, 335, 479)(320, 464, 338, 482)(322, 466, 341, 485)(323, 467, 342, 486)(326, 470, 346, 490)(327, 471, 347, 491)(329, 473, 349, 493)(330, 474, 350, 494)(333, 477, 353, 497)(334, 478, 355, 499)(336, 480, 358, 502)(337, 481, 359, 503)(339, 483, 361, 505)(340, 484, 362, 506)(343, 487, 365, 509)(344, 488, 367, 511)(345, 489, 369, 513)(348, 492, 373, 517)(351, 495, 375, 519)(352, 496, 376, 520)(354, 498, 374, 518)(356, 500, 379, 523)(357, 501, 380, 524)(360, 504, 384, 528)(363, 507, 386, 530)(364, 508, 387, 531)(366, 510, 385, 529)(368, 512, 390, 534)(370, 514, 392, 536)(371, 515, 393, 537)(372, 516, 395, 539)(377, 521, 399, 543)(378, 522, 398, 542)(381, 525, 401, 545)(382, 526, 402, 546)(383, 527, 404, 548)(388, 532, 408, 552)(389, 533, 407, 551)(391, 535, 409, 553)(394, 538, 413, 557)(396, 540, 414, 558)(397, 541, 415, 559)(400, 544, 417, 561)(403, 547, 421, 565)(405, 549, 422, 566)(406, 550, 423, 567)(410, 554, 426, 570)(411, 555, 427, 571)(412, 556, 429, 573)(416, 560, 432, 576)(418, 562, 431, 575)(419, 563, 428, 572)(420, 564, 430, 574)(424, 568, 425, 569)
	L = (1, 292)(2, 294)(3, 296)(4, 289)(5, 299)(6, 290)(7, 302)(8, 291)(9, 305)(10, 307)(11, 293)(12, 310)(13, 312)(14, 295)(15, 315)(16, 317)(17, 297)(18, 319)(19, 298)(20, 322)(21, 324)(22, 300)(23, 326)(24, 301)(25, 329)(26, 331)(27, 303)(28, 333)(29, 304)(30, 336)(31, 306)(32, 339)(33, 341)(34, 308)(35, 343)(36, 309)(37, 346)(38, 311)(39, 348)(40, 349)(41, 313)(42, 351)(43, 314)(44, 353)(45, 316)(46, 356)(47, 358)(48, 318)(49, 360)(50, 361)(51, 320)(52, 363)(53, 321)(54, 365)(55, 323)(56, 368)(57, 370)(58, 325)(59, 373)(60, 327)(61, 328)(62, 375)(63, 330)(64, 377)(65, 332)(66, 378)(67, 379)(68, 334)(69, 381)(70, 335)(71, 384)(72, 337)(73, 338)(74, 386)(75, 340)(76, 388)(77, 342)(78, 389)(79, 390)(80, 344)(81, 392)(82, 345)(83, 394)(84, 396)(85, 347)(86, 398)(87, 350)(88, 399)(89, 352)(90, 354)(91, 355)(92, 401)(93, 357)(94, 403)(95, 405)(96, 359)(97, 407)(98, 362)(99, 408)(100, 364)(101, 366)(102, 367)(103, 410)(104, 369)(105, 413)(106, 371)(107, 414)(108, 372)(109, 416)(110, 374)(111, 376)(112, 418)(113, 380)(114, 421)(115, 382)(116, 422)(117, 383)(118, 424)(119, 385)(120, 387)(121, 426)(122, 391)(123, 428)(124, 430)(125, 393)(126, 395)(127, 432)(128, 397)(129, 431)(130, 400)(131, 427)(132, 429)(133, 402)(134, 404)(135, 425)(136, 406)(137, 423)(138, 409)(139, 419)(140, 411)(141, 420)(142, 412)(143, 417)(144, 415)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2067
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2065 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
Aut   = $<288, 835>$ (small group id <288, 835>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (Y1^-1 * Y3)^2, (R * Y2)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1^-1 * Y3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146, 6, 150, 5, 149)(3, 147, 9, 153, 19, 163, 11, 155)(4, 148, 12, 156, 15, 159, 8, 152)(7, 151, 16, 160, 24, 168, 18, 162)(10, 154, 22, 166, 14, 158, 21, 165)(13, 157, 25, 169, 17, 161, 26, 170)(20, 164, 29, 173, 32, 176, 31, 175)(23, 167, 33, 177, 30, 174, 34, 178)(27, 171, 37, 181, 36, 180, 38, 182)(28, 172, 39, 183, 35, 179, 40, 184)(41, 185, 49, 193, 44, 188, 50, 194)(42, 186, 51, 195, 43, 187, 52, 196)(45, 189, 53, 197, 48, 192, 54, 198)(46, 190, 55, 199, 47, 191, 56, 200)(57, 201, 65, 209, 60, 204, 66, 210)(58, 202, 67, 211, 59, 203, 68, 212)(61, 205, 69, 213, 64, 208, 70, 214)(62, 206, 71, 215, 63, 207, 72, 216)(73, 217, 81, 225, 76, 220, 82, 226)(74, 218, 83, 227, 75, 219, 84, 228)(77, 221, 85, 229, 80, 224, 86, 230)(78, 222, 87, 231, 79, 223, 88, 232)(89, 233, 97, 241, 92, 236, 98, 242)(90, 234, 99, 243, 91, 235, 100, 244)(93, 237, 101, 245, 96, 240, 102, 246)(94, 238, 103, 247, 95, 239, 104, 248)(105, 249, 113, 257, 108, 252, 114, 258)(106, 250, 115, 259, 107, 251, 116, 260)(109, 253, 117, 261, 112, 256, 118, 262)(110, 254, 119, 263, 111, 255, 120, 264)(121, 265, 129, 273, 124, 268, 130, 274)(122, 266, 131, 275, 123, 267, 132, 276)(125, 269, 133, 277, 128, 272, 134, 278)(126, 270, 135, 279, 127, 271, 136, 280)(137, 281, 141, 285, 140, 284, 144, 288)(138, 282, 143, 287, 139, 283, 142, 286)(289, 433, 291, 435)(290, 434, 295, 439)(292, 436, 298, 442)(293, 437, 301, 445)(294, 438, 302, 446)(296, 440, 305, 449)(297, 441, 308, 452)(299, 443, 311, 455)(300, 444, 312, 456)(303, 447, 307, 451)(304, 448, 315, 459)(306, 450, 316, 460)(309, 453, 318, 462)(310, 454, 320, 464)(313, 457, 323, 467)(314, 458, 324, 468)(317, 461, 329, 473)(319, 463, 330, 474)(321, 465, 331, 475)(322, 466, 332, 476)(325, 469, 333, 477)(326, 470, 334, 478)(327, 471, 335, 479)(328, 472, 336, 480)(337, 481, 345, 489)(338, 482, 346, 490)(339, 483, 347, 491)(340, 484, 348, 492)(341, 485, 349, 493)(342, 486, 350, 494)(343, 487, 351, 495)(344, 488, 352, 496)(353, 497, 361, 505)(354, 498, 362, 506)(355, 499, 363, 507)(356, 500, 364, 508)(357, 501, 365, 509)(358, 502, 366, 510)(359, 503, 367, 511)(360, 504, 368, 512)(369, 513, 377, 521)(370, 514, 378, 522)(371, 515, 379, 523)(372, 516, 380, 524)(373, 517, 381, 525)(374, 518, 382, 526)(375, 519, 383, 527)(376, 520, 384, 528)(385, 529, 393, 537)(386, 530, 394, 538)(387, 531, 395, 539)(388, 532, 396, 540)(389, 533, 397, 541)(390, 534, 398, 542)(391, 535, 399, 543)(392, 536, 400, 544)(401, 545, 409, 553)(402, 546, 410, 554)(403, 547, 411, 555)(404, 548, 412, 556)(405, 549, 413, 557)(406, 550, 414, 558)(407, 551, 415, 559)(408, 552, 416, 560)(417, 561, 425, 569)(418, 562, 426, 570)(419, 563, 427, 571)(420, 564, 428, 572)(421, 565, 429, 573)(422, 566, 430, 574)(423, 567, 431, 575)(424, 568, 432, 576)
	L = (1, 292)(2, 296)(3, 298)(4, 289)(5, 300)(6, 303)(7, 305)(8, 290)(9, 309)(10, 291)(11, 310)(12, 293)(13, 312)(14, 307)(15, 294)(16, 313)(17, 295)(18, 314)(19, 302)(20, 318)(21, 297)(22, 299)(23, 320)(24, 301)(25, 304)(26, 306)(27, 323)(28, 324)(29, 321)(30, 308)(31, 322)(32, 311)(33, 317)(34, 319)(35, 315)(36, 316)(37, 327)(38, 328)(39, 325)(40, 326)(41, 331)(42, 332)(43, 329)(44, 330)(45, 335)(46, 336)(47, 333)(48, 334)(49, 339)(50, 340)(51, 337)(52, 338)(53, 343)(54, 344)(55, 341)(56, 342)(57, 347)(58, 348)(59, 345)(60, 346)(61, 351)(62, 352)(63, 349)(64, 350)(65, 355)(66, 356)(67, 353)(68, 354)(69, 359)(70, 360)(71, 357)(72, 358)(73, 363)(74, 364)(75, 361)(76, 362)(77, 367)(78, 368)(79, 365)(80, 366)(81, 371)(82, 372)(83, 369)(84, 370)(85, 375)(86, 376)(87, 373)(88, 374)(89, 379)(90, 380)(91, 377)(92, 378)(93, 383)(94, 384)(95, 381)(96, 382)(97, 387)(98, 388)(99, 385)(100, 386)(101, 391)(102, 392)(103, 389)(104, 390)(105, 395)(106, 396)(107, 393)(108, 394)(109, 399)(110, 400)(111, 397)(112, 398)(113, 403)(114, 404)(115, 401)(116, 402)(117, 407)(118, 408)(119, 405)(120, 406)(121, 411)(122, 412)(123, 409)(124, 410)(125, 415)(126, 416)(127, 413)(128, 414)(129, 419)(130, 420)(131, 417)(132, 418)(133, 423)(134, 424)(135, 421)(136, 422)(137, 427)(138, 428)(139, 425)(140, 426)(141, 431)(142, 432)(143, 429)(144, 430)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2062
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2066 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
Aut   = $<288, 835>$ (small group id <288, 835>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, Y1^4, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146, 6, 150, 5, 149)(3, 147, 9, 153, 19, 163, 11, 155)(4, 148, 12, 156, 15, 159, 8, 152)(7, 151, 16, 160, 30, 174, 18, 162)(10, 154, 22, 166, 36, 180, 21, 165)(13, 157, 25, 169, 45, 189, 26, 170)(14, 158, 27, 171, 48, 192, 29, 173)(17, 161, 33, 177, 54, 198, 32, 176)(20, 164, 37, 181, 52, 196, 39, 183)(23, 167, 41, 185, 49, 193, 42, 186)(24, 168, 43, 187, 71, 215, 44, 188)(28, 172, 51, 195, 75, 219, 50, 194)(31, 175, 55, 199, 47, 191, 57, 201)(34, 178, 59, 203, 46, 190, 60, 204)(35, 179, 61, 205, 74, 218, 53, 197)(38, 182, 65, 209, 77, 221, 64, 208)(40, 184, 67, 211, 76, 220, 68, 212)(56, 200, 81, 225, 72, 216, 80, 224)(58, 202, 83, 227, 73, 217, 84, 228)(62, 206, 78, 222, 96, 240, 87, 231)(63, 207, 88, 232, 70, 214, 90, 234)(66, 210, 92, 236, 69, 213, 93, 237)(79, 223, 97, 241, 86, 230, 99, 243)(82, 226, 101, 245, 85, 229, 102, 246)(89, 233, 107, 251, 94, 238, 106, 250)(91, 235, 109, 253, 95, 239, 110, 254)(98, 242, 115, 259, 103, 247, 114, 258)(100, 244, 117, 261, 104, 248, 118, 262)(105, 249, 121, 265, 112, 256, 123, 267)(108, 252, 125, 269, 111, 255, 126, 270)(113, 257, 129, 273, 120, 264, 131, 275)(116, 260, 133, 277, 119, 263, 134, 278)(122, 266, 138, 282, 127, 271, 137, 281)(124, 268, 139, 283, 128, 272, 140, 284)(130, 274, 142, 286, 135, 279, 141, 285)(132, 276, 143, 287, 136, 280, 144, 288)(289, 433, 291, 435)(290, 434, 295, 439)(292, 436, 298, 442)(293, 437, 301, 445)(294, 438, 302, 446)(296, 440, 305, 449)(297, 441, 308, 452)(299, 443, 311, 455)(300, 444, 312, 456)(303, 447, 316, 460)(304, 448, 319, 463)(306, 450, 322, 466)(307, 451, 323, 467)(309, 453, 326, 470)(310, 454, 328, 472)(313, 457, 334, 478)(314, 458, 335, 479)(315, 459, 337, 481)(317, 461, 340, 484)(318, 462, 341, 485)(320, 464, 344, 488)(321, 465, 346, 490)(324, 468, 350, 494)(325, 469, 351, 495)(327, 471, 354, 498)(329, 473, 357, 501)(330, 474, 358, 502)(331, 475, 360, 504)(332, 476, 361, 505)(333, 477, 349, 493)(336, 480, 362, 506)(338, 482, 364, 508)(339, 483, 365, 509)(342, 486, 366, 510)(343, 487, 367, 511)(345, 489, 370, 514)(347, 491, 373, 517)(348, 492, 374, 518)(352, 496, 377, 521)(353, 497, 379, 523)(355, 499, 382, 526)(356, 500, 383, 527)(359, 503, 375, 519)(363, 507, 384, 528)(368, 512, 386, 530)(369, 513, 388, 532)(371, 515, 391, 535)(372, 516, 392, 536)(376, 520, 393, 537)(378, 522, 396, 540)(380, 524, 399, 543)(381, 525, 400, 544)(385, 529, 401, 545)(387, 531, 404, 548)(389, 533, 407, 551)(390, 534, 408, 552)(394, 538, 410, 554)(395, 539, 412, 556)(397, 541, 415, 559)(398, 542, 416, 560)(402, 546, 418, 562)(403, 547, 420, 564)(405, 549, 423, 567)(406, 550, 424, 568)(409, 553, 422, 566)(411, 555, 417, 561)(413, 557, 419, 563)(414, 558, 421, 565)(425, 569, 431, 575)(426, 570, 429, 573)(427, 571, 432, 576)(428, 572, 430, 574)
	L = (1, 292)(2, 296)(3, 298)(4, 289)(5, 300)(6, 303)(7, 305)(8, 290)(9, 309)(10, 291)(11, 310)(12, 293)(13, 312)(14, 316)(15, 294)(16, 320)(17, 295)(18, 321)(19, 324)(20, 326)(21, 297)(22, 299)(23, 328)(24, 301)(25, 332)(26, 331)(27, 338)(28, 302)(29, 339)(30, 342)(31, 344)(32, 304)(33, 306)(34, 346)(35, 350)(36, 307)(37, 352)(38, 308)(39, 353)(40, 311)(41, 356)(42, 355)(43, 314)(44, 313)(45, 359)(46, 361)(47, 360)(48, 363)(49, 364)(50, 315)(51, 317)(52, 365)(53, 366)(54, 318)(55, 368)(56, 319)(57, 369)(58, 322)(59, 372)(60, 371)(61, 375)(62, 323)(63, 377)(64, 325)(65, 327)(66, 379)(67, 330)(68, 329)(69, 383)(70, 382)(71, 333)(72, 335)(73, 334)(74, 384)(75, 336)(76, 337)(77, 340)(78, 341)(79, 386)(80, 343)(81, 345)(82, 388)(83, 348)(84, 347)(85, 392)(86, 391)(87, 349)(88, 394)(89, 351)(90, 395)(91, 354)(92, 398)(93, 397)(94, 358)(95, 357)(96, 362)(97, 402)(98, 367)(99, 403)(100, 370)(101, 406)(102, 405)(103, 374)(104, 373)(105, 410)(106, 376)(107, 378)(108, 412)(109, 381)(110, 380)(111, 416)(112, 415)(113, 418)(114, 385)(115, 387)(116, 420)(117, 390)(118, 389)(119, 424)(120, 423)(121, 425)(122, 393)(123, 426)(124, 396)(125, 428)(126, 427)(127, 400)(128, 399)(129, 429)(130, 401)(131, 430)(132, 404)(133, 432)(134, 431)(135, 408)(136, 407)(137, 409)(138, 411)(139, 414)(140, 413)(141, 417)(142, 419)(143, 422)(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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2063
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2067 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
Aut   = $<288, 835>$ (small group id <288, 835>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, (Y3 * Y2)^2, (Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146, 6, 150, 5, 149)(3, 147, 9, 153, 19, 163, 11, 155)(4, 148, 12, 156, 15, 159, 8, 152)(7, 151, 16, 160, 30, 174, 18, 162)(10, 154, 22, 166, 36, 180, 21, 165)(13, 157, 25, 169, 45, 189, 26, 170)(14, 158, 27, 171, 48, 192, 29, 173)(17, 161, 33, 177, 54, 198, 32, 176)(20, 164, 37, 181, 52, 196, 39, 183)(23, 167, 41, 185, 49, 193, 42, 186)(24, 168, 43, 187, 71, 215, 44, 188)(28, 172, 51, 195, 75, 219, 50, 194)(31, 175, 55, 199, 47, 191, 57, 201)(34, 178, 59, 203, 46, 190, 60, 204)(35, 179, 61, 205, 74, 218, 53, 197)(38, 182, 65, 209, 77, 221, 64, 208)(40, 184, 67, 211, 76, 220, 68, 212)(56, 200, 81, 225, 72, 216, 80, 224)(58, 202, 83, 227, 73, 217, 84, 228)(62, 206, 78, 222, 96, 240, 87, 231)(63, 207, 88, 232, 70, 214, 90, 234)(66, 210, 92, 236, 69, 213, 93, 237)(79, 223, 97, 241, 86, 230, 99, 243)(82, 226, 101, 245, 85, 229, 102, 246)(89, 233, 107, 251, 94, 238, 106, 250)(91, 235, 109, 253, 95, 239, 110, 254)(98, 242, 115, 259, 103, 247, 114, 258)(100, 244, 117, 261, 104, 248, 118, 262)(105, 249, 121, 265, 112, 256, 123, 267)(108, 252, 125, 269, 111, 255, 126, 270)(113, 257, 129, 273, 120, 264, 131, 275)(116, 260, 133, 277, 119, 263, 134, 278)(122, 266, 139, 283, 127, 271, 138, 282)(124, 268, 141, 285, 128, 272, 142, 286)(130, 274, 137, 281, 135, 279, 144, 288)(132, 276, 143, 287, 136, 280, 140, 284)(289, 433, 291, 435)(290, 434, 295, 439)(292, 436, 298, 442)(293, 437, 301, 445)(294, 438, 302, 446)(296, 440, 305, 449)(297, 441, 308, 452)(299, 443, 311, 455)(300, 444, 312, 456)(303, 447, 316, 460)(304, 448, 319, 463)(306, 450, 322, 466)(307, 451, 323, 467)(309, 453, 326, 470)(310, 454, 328, 472)(313, 457, 334, 478)(314, 458, 335, 479)(315, 459, 337, 481)(317, 461, 340, 484)(318, 462, 341, 485)(320, 464, 344, 488)(321, 465, 346, 490)(324, 468, 350, 494)(325, 469, 351, 495)(327, 471, 354, 498)(329, 473, 357, 501)(330, 474, 358, 502)(331, 475, 360, 504)(332, 476, 361, 505)(333, 477, 349, 493)(336, 480, 362, 506)(338, 482, 364, 508)(339, 483, 365, 509)(342, 486, 366, 510)(343, 487, 367, 511)(345, 489, 370, 514)(347, 491, 373, 517)(348, 492, 374, 518)(352, 496, 377, 521)(353, 497, 379, 523)(355, 499, 382, 526)(356, 500, 383, 527)(359, 503, 375, 519)(363, 507, 384, 528)(368, 512, 386, 530)(369, 513, 388, 532)(371, 515, 391, 535)(372, 516, 392, 536)(376, 520, 393, 537)(378, 522, 396, 540)(380, 524, 399, 543)(381, 525, 400, 544)(385, 529, 401, 545)(387, 531, 404, 548)(389, 533, 407, 551)(390, 534, 408, 552)(394, 538, 410, 554)(395, 539, 412, 556)(397, 541, 415, 559)(398, 542, 416, 560)(402, 546, 418, 562)(403, 547, 420, 564)(405, 549, 423, 567)(406, 550, 424, 568)(409, 553, 425, 569)(411, 555, 428, 572)(413, 557, 431, 575)(414, 558, 432, 576)(417, 561, 429, 573)(419, 563, 426, 570)(421, 565, 427, 571)(422, 566, 430, 574)
	L = (1, 292)(2, 296)(3, 298)(4, 289)(5, 300)(6, 303)(7, 305)(8, 290)(9, 309)(10, 291)(11, 310)(12, 293)(13, 312)(14, 316)(15, 294)(16, 320)(17, 295)(18, 321)(19, 324)(20, 326)(21, 297)(22, 299)(23, 328)(24, 301)(25, 332)(26, 331)(27, 338)(28, 302)(29, 339)(30, 342)(31, 344)(32, 304)(33, 306)(34, 346)(35, 350)(36, 307)(37, 352)(38, 308)(39, 353)(40, 311)(41, 356)(42, 355)(43, 314)(44, 313)(45, 359)(46, 361)(47, 360)(48, 363)(49, 364)(50, 315)(51, 317)(52, 365)(53, 366)(54, 318)(55, 368)(56, 319)(57, 369)(58, 322)(59, 372)(60, 371)(61, 375)(62, 323)(63, 377)(64, 325)(65, 327)(66, 379)(67, 330)(68, 329)(69, 383)(70, 382)(71, 333)(72, 335)(73, 334)(74, 384)(75, 336)(76, 337)(77, 340)(78, 341)(79, 386)(80, 343)(81, 345)(82, 388)(83, 348)(84, 347)(85, 392)(86, 391)(87, 349)(88, 394)(89, 351)(90, 395)(91, 354)(92, 398)(93, 397)(94, 358)(95, 357)(96, 362)(97, 402)(98, 367)(99, 403)(100, 370)(101, 406)(102, 405)(103, 374)(104, 373)(105, 410)(106, 376)(107, 378)(108, 412)(109, 381)(110, 380)(111, 416)(112, 415)(113, 418)(114, 385)(115, 387)(116, 420)(117, 390)(118, 389)(119, 424)(120, 423)(121, 426)(122, 393)(123, 427)(124, 396)(125, 430)(126, 429)(127, 400)(128, 399)(129, 432)(130, 401)(131, 425)(132, 404)(133, 428)(134, 431)(135, 408)(136, 407)(137, 419)(138, 409)(139, 411)(140, 421)(141, 414)(142, 413)(143, 422)(144, 417)(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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2064
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2068 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = D8 x ((C3 x C3) : C2) (small group id <144, 172>)
Aut   = $<288, 958>$ (small group id <288, 958>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, Y3^6, R * Y2 * Y1 * Y3^2 * R * Y1 * Y2, Y3^-1 * Y2 * Y3 * R * Y3^-2 * Y2 * R, (Y3 * Y1)^4, (Y3 * Y1 * Y2 * Y1)^2, R * Y3^-1 * Y2 * Y3 * Y1 * Y2 * R * Y2 * Y1 * Y2, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146)(3, 147, 9, 153)(4, 148, 12, 156)(5, 149, 14, 158)(6, 150, 16, 160)(7, 151, 19, 163)(8, 152, 21, 165)(10, 154, 26, 170)(11, 155, 28, 172)(13, 157, 22, 166)(15, 159, 20, 164)(17, 161, 39, 183)(18, 162, 41, 185)(23, 167, 49, 193)(24, 168, 47, 191)(25, 169, 43, 187)(27, 171, 53, 197)(29, 173, 52, 196)(30, 174, 38, 182)(31, 175, 44, 188)(32, 176, 48, 192)(33, 177, 62, 206)(34, 178, 37, 181)(35, 179, 45, 189)(36, 180, 64, 208)(40, 184, 68, 212)(42, 186, 67, 211)(46, 190, 77, 221)(50, 194, 82, 226)(51, 195, 84, 228)(54, 198, 81, 225)(55, 199, 76, 220)(56, 200, 75, 219)(57, 201, 89, 233)(58, 202, 80, 224)(59, 203, 78, 222)(60, 204, 71, 215)(61, 205, 70, 214)(63, 207, 74, 218)(65, 209, 95, 239)(66, 210, 97, 241)(69, 213, 94, 238)(72, 216, 102, 246)(73, 217, 93, 237)(79, 223, 92, 236)(83, 227, 108, 252)(85, 229, 107, 251)(86, 230, 104, 248)(87, 231, 111, 255)(88, 232, 110, 254)(90, 234, 114, 258)(91, 235, 99, 243)(96, 240, 119, 263)(98, 242, 118, 262)(100, 244, 122, 266)(101, 245, 121, 265)(103, 247, 125, 269)(105, 249, 124, 268)(106, 250, 120, 264)(109, 253, 117, 261)(112, 256, 132, 276)(113, 257, 116, 260)(115, 259, 129, 273)(123, 267, 139, 283)(126, 270, 136, 280)(127, 271, 135, 279)(128, 272, 134, 278)(130, 274, 140, 284)(131, 275, 138, 282)(133, 277, 137, 281)(141, 285, 144, 288)(142, 286, 143, 287)(289, 433, 291, 435)(290, 434, 294, 438)(292, 436, 299, 443)(293, 437, 298, 442)(295, 439, 306, 450)(296, 440, 305, 449)(297, 441, 311, 455)(300, 444, 318, 462)(301, 445, 317, 461)(302, 446, 322, 466)(303, 447, 315, 459)(304, 448, 324, 468)(307, 451, 331, 475)(308, 452, 330, 474)(309, 453, 335, 479)(310, 454, 328, 472)(312, 456, 339, 483)(313, 457, 338, 482)(314, 458, 342, 486)(316, 460, 346, 490)(319, 463, 349, 493)(320, 464, 348, 492)(321, 465, 345, 489)(323, 467, 351, 495)(325, 469, 354, 498)(326, 470, 353, 497)(327, 471, 357, 501)(329, 473, 361, 505)(332, 476, 364, 508)(333, 477, 363, 507)(334, 478, 360, 504)(336, 480, 366, 510)(337, 481, 367, 511)(340, 484, 373, 517)(341, 485, 371, 515)(343, 487, 376, 520)(344, 488, 375, 519)(347, 491, 378, 522)(350, 494, 379, 523)(352, 496, 380, 524)(355, 499, 386, 530)(356, 500, 384, 528)(358, 502, 389, 533)(359, 503, 388, 532)(362, 506, 391, 535)(365, 509, 392, 536)(368, 512, 394, 538)(369, 513, 393, 537)(370, 514, 397, 541)(372, 516, 401, 545)(374, 518, 400, 544)(377, 521, 403, 547)(381, 525, 405, 549)(382, 526, 404, 548)(383, 527, 408, 552)(385, 529, 412, 556)(387, 531, 411, 555)(390, 534, 414, 558)(395, 539, 416, 560)(396, 540, 415, 559)(398, 542, 419, 563)(399, 543, 418, 562)(402, 546, 421, 565)(406, 550, 423, 567)(407, 551, 422, 566)(409, 553, 426, 570)(410, 554, 425, 569)(413, 557, 428, 572)(417, 561, 429, 573)(420, 564, 430, 574)(424, 568, 431, 575)(427, 571, 432, 576)
	L = (1, 292)(2, 295)(3, 298)(4, 301)(5, 289)(6, 305)(7, 308)(8, 290)(9, 312)(10, 315)(11, 291)(12, 319)(13, 321)(14, 323)(15, 293)(16, 325)(17, 328)(18, 294)(19, 332)(20, 334)(21, 336)(22, 296)(23, 338)(24, 340)(25, 297)(26, 343)(27, 345)(28, 347)(29, 299)(30, 348)(31, 302)(32, 300)(33, 303)(34, 349)(35, 350)(36, 353)(37, 355)(38, 304)(39, 358)(40, 360)(41, 362)(42, 306)(43, 363)(44, 309)(45, 307)(46, 310)(47, 364)(48, 365)(49, 368)(50, 371)(51, 311)(52, 374)(53, 313)(54, 375)(55, 316)(56, 314)(57, 317)(58, 376)(59, 377)(60, 379)(61, 318)(62, 320)(63, 322)(64, 381)(65, 384)(66, 324)(67, 387)(68, 326)(69, 388)(70, 329)(71, 327)(72, 330)(73, 389)(74, 390)(75, 392)(76, 331)(77, 333)(78, 335)(79, 393)(80, 395)(81, 337)(82, 398)(83, 400)(84, 402)(85, 339)(86, 341)(87, 403)(88, 342)(89, 344)(90, 346)(91, 351)(92, 404)(93, 406)(94, 352)(95, 409)(96, 411)(97, 413)(98, 354)(99, 356)(100, 414)(101, 357)(102, 359)(103, 361)(104, 366)(105, 415)(106, 367)(107, 417)(108, 369)(109, 418)(110, 372)(111, 370)(112, 373)(113, 419)(114, 420)(115, 378)(116, 422)(117, 380)(118, 424)(119, 382)(120, 425)(121, 385)(122, 383)(123, 386)(124, 426)(125, 427)(126, 391)(127, 429)(128, 394)(129, 396)(130, 430)(131, 397)(132, 399)(133, 401)(134, 431)(135, 405)(136, 407)(137, 432)(138, 408)(139, 410)(140, 412)(141, 416)(142, 421)(143, 423)(144, 428)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2069
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2069 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = D8 x ((C3 x C3) : C2) (small group id <144, 172>)
Aut   = $<288, 958>$ (small group id <288, 958>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^4, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2 * Y3)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3^6, (Y2 * R * Y2 * Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1, (R * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146, 7, 151, 5, 149)(3, 147, 11, 155, 20, 164, 13, 157)(4, 148, 15, 159, 21, 165, 10, 154)(6, 150, 18, 162, 22, 166, 9, 153)(8, 152, 23, 167, 17, 161, 25, 169)(12, 156, 32, 176, 42, 186, 31, 175)(14, 158, 35, 179, 43, 187, 30, 174)(16, 160, 28, 172, 44, 188, 38, 182)(19, 163, 27, 171, 45, 189, 41, 185)(24, 168, 49, 193, 37, 181, 48, 192)(26, 170, 52, 196, 40, 184, 47, 191)(29, 173, 55, 199, 34, 178, 57, 201)(33, 177, 60, 204, 69, 213, 62, 206)(36, 180, 59, 203, 70, 214, 65, 209)(39, 183, 67, 211, 71, 215, 54, 198)(46, 190, 72, 216, 51, 195, 74, 218)(50, 194, 77, 221, 66, 210, 79, 223)(53, 197, 76, 220, 68, 212, 82, 226)(56, 200, 86, 230, 61, 205, 85, 229)(58, 202, 89, 233, 64, 208, 84, 228)(63, 207, 93, 237, 96, 240, 91, 235)(73, 217, 100, 244, 78, 222, 99, 243)(75, 219, 103, 247, 81, 225, 98, 242)(80, 224, 107, 251, 95, 239, 105, 249)(83, 227, 102, 246, 88, 232, 97, 241)(87, 231, 112, 256, 92, 236, 114, 258)(90, 234, 111, 255, 94, 238, 117, 261)(101, 245, 122, 266, 106, 250, 124, 268)(104, 248, 121, 265, 108, 252, 127, 271)(109, 253, 120, 264, 113, 257, 126, 270)(110, 254, 119, 263, 116, 260, 123, 267)(115, 259, 133, 277, 118, 262, 131, 275)(125, 269, 139, 283, 128, 272, 137, 281)(129, 273, 140, 284, 132, 276, 136, 280)(130, 274, 138, 282, 134, 278, 135, 279)(141, 285, 143, 287, 142, 286, 144, 288)(289, 433, 291, 435)(290, 434, 296, 440)(292, 436, 302, 446)(293, 437, 305, 449)(294, 438, 300, 444)(295, 439, 308, 452)(297, 441, 314, 458)(298, 442, 312, 456)(299, 443, 317, 461)(301, 445, 322, 466)(303, 447, 325, 469)(304, 448, 324, 468)(306, 450, 328, 472)(307, 451, 321, 465)(309, 453, 331, 475)(310, 454, 330, 474)(311, 455, 334, 478)(313, 457, 339, 483)(315, 459, 341, 485)(316, 460, 338, 482)(318, 462, 346, 490)(319, 463, 344, 488)(320, 464, 349, 493)(323, 467, 352, 496)(326, 470, 354, 498)(327, 471, 351, 495)(329, 473, 356, 500)(332, 476, 358, 502)(333, 477, 357, 501)(335, 479, 363, 507)(336, 480, 361, 505)(337, 481, 366, 510)(340, 484, 369, 513)(342, 486, 368, 512)(343, 487, 371, 515)(345, 489, 376, 520)(347, 491, 378, 522)(348, 492, 375, 519)(350, 494, 380, 524)(353, 497, 382, 526)(355, 499, 383, 527)(359, 503, 384, 528)(360, 504, 385, 529)(362, 506, 390, 534)(364, 508, 392, 536)(365, 509, 389, 533)(367, 511, 394, 538)(370, 514, 396, 540)(372, 516, 398, 542)(373, 517, 397, 541)(374, 518, 401, 545)(377, 521, 404, 548)(379, 523, 403, 547)(381, 525, 406, 550)(386, 530, 408, 552)(387, 531, 407, 551)(388, 532, 411, 555)(391, 535, 414, 558)(393, 537, 413, 557)(395, 539, 416, 560)(399, 543, 418, 562)(400, 544, 417, 561)(402, 546, 420, 564)(405, 549, 422, 566)(409, 553, 424, 568)(410, 554, 423, 567)(412, 556, 426, 570)(415, 559, 428, 572)(419, 563, 429, 573)(421, 565, 430, 574)(425, 569, 431, 575)(427, 571, 432, 576)
	L = (1, 292)(2, 297)(3, 300)(4, 304)(5, 306)(6, 289)(7, 309)(8, 312)(9, 315)(10, 290)(11, 318)(12, 321)(13, 323)(14, 291)(15, 293)(16, 327)(17, 325)(18, 329)(19, 294)(20, 330)(21, 332)(22, 295)(23, 335)(24, 338)(25, 340)(26, 296)(27, 342)(28, 298)(29, 344)(30, 347)(31, 299)(32, 301)(33, 351)(34, 349)(35, 353)(36, 302)(37, 354)(38, 303)(39, 307)(40, 305)(41, 355)(42, 357)(43, 308)(44, 359)(45, 310)(46, 361)(47, 364)(48, 311)(49, 313)(50, 368)(51, 366)(52, 370)(53, 314)(54, 316)(55, 372)(56, 375)(57, 377)(58, 317)(59, 379)(60, 319)(61, 380)(62, 320)(63, 324)(64, 322)(65, 381)(66, 383)(67, 326)(68, 328)(69, 384)(70, 331)(71, 333)(72, 386)(73, 389)(74, 391)(75, 334)(76, 393)(77, 336)(78, 394)(79, 337)(80, 341)(81, 339)(82, 395)(83, 397)(84, 399)(85, 343)(86, 345)(87, 403)(88, 401)(89, 405)(90, 346)(91, 348)(92, 406)(93, 350)(94, 352)(95, 356)(96, 358)(97, 407)(98, 409)(99, 360)(100, 362)(101, 413)(102, 411)(103, 415)(104, 363)(105, 365)(106, 416)(107, 367)(108, 369)(109, 417)(110, 371)(111, 419)(112, 373)(113, 420)(114, 374)(115, 378)(116, 376)(117, 421)(118, 382)(119, 423)(120, 385)(121, 425)(122, 387)(123, 426)(124, 388)(125, 392)(126, 390)(127, 427)(128, 396)(129, 429)(130, 398)(131, 400)(132, 430)(133, 402)(134, 404)(135, 431)(136, 408)(137, 410)(138, 432)(139, 412)(140, 414)(141, 418)(142, 422)(143, 424)(144, 428)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2068
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2070 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
Aut   = $<288, 1031>$ (small group id <288, 1031>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3 * Y1)^4, (Y1 * Y2)^4, Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 10, 154)(6, 150, 12, 156)(8, 152, 15, 159)(11, 155, 20, 164)(13, 157, 18, 162)(14, 158, 24, 168)(16, 160, 27, 171)(17, 161, 22, 166)(19, 163, 30, 174)(21, 165, 33, 177)(23, 167, 35, 179)(25, 169, 38, 182)(26, 170, 37, 181)(28, 172, 41, 185)(29, 173, 42, 186)(31, 175, 45, 189)(32, 176, 44, 188)(34, 178, 48, 192)(36, 180, 51, 195)(39, 183, 54, 198)(40, 184, 55, 199)(43, 187, 60, 204)(46, 190, 63, 207)(47, 191, 64, 208)(49, 193, 67, 211)(50, 194, 59, 203)(52, 196, 70, 214)(53, 197, 71, 215)(56, 200, 65, 209)(57, 201, 75, 219)(58, 202, 77, 221)(61, 205, 80, 224)(62, 206, 81, 225)(66, 210, 85, 229)(68, 212, 88, 232)(69, 213, 89, 233)(72, 216, 90, 234)(73, 217, 93, 237)(74, 218, 95, 239)(76, 220, 97, 241)(78, 222, 99, 243)(79, 223, 100, 244)(82, 226, 101, 245)(83, 227, 104, 248)(84, 228, 106, 250)(86, 230, 108, 252)(87, 231, 109, 253)(91, 235, 113, 257)(92, 236, 115, 259)(94, 238, 105, 249)(96, 240, 118, 262)(98, 242, 119, 263)(102, 246, 123, 267)(103, 247, 125, 269)(107, 251, 128, 272)(110, 254, 120, 264)(111, 255, 130, 274)(112, 256, 131, 275)(114, 258, 124, 268)(116, 260, 126, 270)(117, 261, 134, 278)(121, 265, 136, 280)(122, 266, 137, 281)(127, 271, 140, 284)(129, 273, 141, 285)(132, 276, 138, 282)(133, 277, 139, 283)(135, 279, 143, 287)(142, 286, 144, 288)(289, 433, 291, 435)(290, 434, 293, 437)(292, 436, 296, 440)(294, 438, 299, 443)(295, 439, 301, 445)(297, 441, 304, 448)(298, 442, 306, 450)(300, 444, 309, 453)(302, 446, 311, 455)(303, 447, 313, 457)(305, 449, 316, 460)(307, 451, 317, 461)(308, 452, 319, 463)(310, 454, 322, 466)(312, 456, 324, 468)(314, 458, 327, 471)(315, 459, 326, 470)(318, 462, 331, 475)(320, 464, 334, 478)(321, 465, 333, 477)(323, 467, 337, 481)(325, 469, 340, 484)(328, 472, 341, 485)(329, 473, 344, 488)(330, 474, 346, 490)(332, 476, 349, 493)(335, 479, 350, 494)(336, 480, 353, 497)(338, 482, 356, 500)(339, 483, 355, 499)(342, 486, 360, 504)(343, 487, 362, 506)(345, 489, 364, 508)(347, 491, 366, 510)(348, 492, 365, 509)(351, 495, 370, 514)(352, 496, 372, 516)(354, 498, 374, 518)(357, 501, 375, 519)(358, 502, 378, 522)(359, 503, 380, 524)(361, 505, 382, 526)(363, 507, 384, 528)(367, 511, 386, 530)(368, 512, 389, 533)(369, 513, 391, 535)(371, 515, 393, 537)(373, 517, 395, 539)(376, 520, 398, 542)(377, 521, 400, 544)(379, 523, 402, 546)(381, 525, 404, 548)(383, 527, 403, 547)(385, 529, 399, 543)(387, 531, 408, 552)(388, 532, 410, 554)(390, 534, 412, 556)(392, 536, 414, 558)(394, 538, 413, 557)(396, 540, 409, 553)(397, 541, 417, 561)(401, 545, 420, 564)(405, 549, 421, 565)(406, 550, 418, 562)(407, 551, 423, 567)(411, 555, 426, 570)(415, 559, 427, 571)(416, 560, 424, 568)(419, 563, 429, 573)(422, 566, 430, 574)(425, 569, 431, 575)(428, 572, 432, 576)
	L = (1, 292)(2, 294)(3, 296)(4, 289)(5, 299)(6, 290)(7, 302)(8, 291)(9, 305)(10, 307)(11, 293)(12, 310)(13, 311)(14, 295)(15, 314)(16, 316)(17, 297)(18, 317)(19, 298)(20, 320)(21, 322)(22, 300)(23, 301)(24, 325)(25, 327)(26, 303)(27, 328)(28, 304)(29, 306)(30, 332)(31, 334)(32, 308)(33, 335)(34, 309)(35, 338)(36, 340)(37, 312)(38, 341)(39, 313)(40, 315)(41, 345)(42, 347)(43, 349)(44, 318)(45, 350)(46, 319)(47, 321)(48, 354)(49, 356)(50, 323)(51, 357)(52, 324)(53, 326)(54, 361)(55, 363)(56, 364)(57, 329)(58, 366)(59, 330)(60, 367)(61, 331)(62, 333)(63, 371)(64, 373)(65, 374)(66, 336)(67, 375)(68, 337)(69, 339)(70, 379)(71, 381)(72, 382)(73, 342)(74, 384)(75, 343)(76, 344)(77, 386)(78, 346)(79, 348)(80, 390)(81, 392)(82, 393)(83, 351)(84, 395)(85, 352)(86, 353)(87, 355)(88, 399)(89, 401)(90, 402)(91, 358)(92, 404)(93, 359)(94, 360)(95, 405)(96, 362)(97, 398)(98, 365)(99, 409)(100, 411)(101, 412)(102, 368)(103, 414)(104, 369)(105, 370)(106, 415)(107, 372)(108, 408)(109, 418)(110, 385)(111, 376)(112, 420)(113, 377)(114, 378)(115, 421)(116, 380)(117, 383)(118, 417)(119, 424)(120, 396)(121, 387)(122, 426)(123, 388)(124, 389)(125, 427)(126, 391)(127, 394)(128, 423)(129, 406)(130, 397)(131, 430)(132, 400)(133, 403)(134, 429)(135, 416)(136, 407)(137, 432)(138, 410)(139, 413)(140, 431)(141, 422)(142, 419)(143, 428)(144, 425)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2075
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2071 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
Aut   = $<288, 1031>$ (small group id <288, 1031>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3 * R * Y3^-1 * Y2 * R * Y2, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^4, Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-1, Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 145, 2, 146)(3, 147, 9, 153)(4, 148, 12, 156)(5, 149, 14, 158)(6, 150, 15, 159)(7, 151, 18, 162)(8, 152, 20, 164)(10, 154, 16, 160)(11, 155, 25, 169)(13, 157, 27, 171)(17, 161, 35, 179)(19, 163, 37, 181)(21, 165, 41, 185)(22, 166, 43, 187)(23, 167, 45, 189)(24, 168, 46, 190)(26, 170, 40, 184)(28, 172, 51, 195)(29, 173, 53, 197)(30, 174, 36, 180)(31, 175, 55, 199)(32, 176, 57, 201)(33, 177, 59, 203)(34, 178, 60, 204)(38, 182, 65, 209)(39, 183, 67, 211)(42, 186, 72, 216)(44, 188, 74, 218)(47, 191, 75, 219)(48, 192, 77, 221)(49, 193, 73, 217)(50, 194, 71, 215)(52, 196, 81, 225)(54, 198, 82, 226)(56, 200, 86, 230)(58, 202, 88, 232)(61, 205, 89, 233)(62, 206, 91, 235)(63, 207, 87, 231)(64, 208, 85, 229)(66, 210, 95, 239)(68, 212, 96, 240)(69, 213, 83, 227)(70, 214, 84, 228)(76, 220, 105, 249)(78, 222, 106, 250)(79, 223, 93, 237)(80, 224, 94, 238)(90, 234, 119, 263)(92, 236, 120, 264)(97, 241, 116, 260)(98, 242, 115, 259)(99, 243, 122, 266)(100, 244, 121, 265)(101, 245, 112, 256)(102, 246, 111, 255)(103, 247, 123, 267)(104, 248, 124, 268)(107, 251, 114, 258)(108, 252, 113, 257)(109, 253, 117, 261)(110, 254, 118, 262)(125, 269, 135, 279)(126, 270, 136, 280)(127, 271, 133, 277)(128, 272, 134, 278)(129, 273, 139, 283)(130, 274, 140, 284)(131, 275, 137, 281)(132, 276, 138, 282)(141, 285, 143, 287)(142, 286, 144, 288)(289, 433, 291, 435)(290, 434, 294, 438)(292, 436, 299, 443)(293, 437, 298, 442)(295, 439, 305, 449)(296, 440, 304, 448)(297, 441, 309, 453)(300, 444, 311, 455)(301, 445, 312, 456)(302, 446, 316, 460)(303, 447, 319, 463)(306, 450, 321, 465)(307, 451, 322, 466)(308, 452, 326, 470)(310, 454, 330, 474)(313, 457, 335, 479)(314, 458, 332, 476)(315, 459, 337, 481)(317, 461, 340, 484)(318, 462, 334, 478)(320, 464, 344, 488)(323, 467, 349, 493)(324, 468, 346, 490)(325, 469, 351, 495)(327, 471, 354, 498)(328, 472, 348, 492)(329, 473, 357, 501)(331, 475, 359, 503)(333, 477, 356, 500)(336, 480, 364, 508)(338, 482, 366, 510)(339, 483, 367, 511)(341, 485, 365, 509)(342, 486, 347, 491)(343, 487, 371, 515)(345, 489, 373, 517)(350, 494, 378, 522)(352, 496, 380, 524)(353, 497, 381, 525)(355, 499, 379, 523)(358, 502, 385, 529)(360, 504, 387, 531)(361, 505, 386, 530)(362, 506, 389, 533)(363, 507, 391, 535)(368, 512, 392, 536)(369, 513, 395, 539)(370, 514, 397, 541)(372, 516, 399, 543)(374, 518, 401, 545)(375, 519, 400, 544)(376, 520, 403, 547)(377, 521, 405, 549)(382, 526, 406, 550)(383, 527, 409, 553)(384, 528, 411, 555)(388, 532, 413, 557)(390, 534, 414, 558)(393, 537, 415, 559)(394, 538, 417, 561)(396, 540, 419, 563)(398, 542, 420, 564)(402, 546, 421, 565)(404, 548, 422, 566)(407, 551, 423, 567)(408, 552, 425, 569)(410, 554, 427, 571)(412, 556, 428, 572)(416, 560, 429, 573)(418, 562, 430, 574)(424, 568, 431, 575)(426, 570, 432, 576)
	L = (1, 292)(2, 295)(3, 298)(4, 301)(5, 289)(6, 304)(7, 307)(8, 290)(9, 310)(10, 312)(11, 291)(12, 314)(13, 293)(14, 317)(15, 320)(16, 322)(17, 294)(18, 324)(19, 296)(20, 327)(21, 300)(22, 332)(23, 297)(24, 299)(25, 336)(26, 330)(27, 338)(28, 334)(29, 342)(30, 302)(31, 306)(32, 346)(33, 303)(34, 305)(35, 350)(36, 344)(37, 352)(38, 348)(39, 356)(40, 308)(41, 358)(42, 309)(43, 361)(44, 311)(45, 354)(46, 347)(47, 315)(48, 366)(49, 313)(50, 364)(51, 368)(52, 316)(53, 363)(54, 318)(55, 372)(56, 319)(57, 375)(58, 321)(59, 340)(60, 333)(61, 325)(62, 380)(63, 323)(64, 378)(65, 382)(66, 326)(67, 377)(68, 328)(69, 331)(70, 386)(71, 329)(72, 388)(73, 385)(74, 390)(75, 392)(76, 335)(77, 339)(78, 337)(79, 341)(80, 391)(81, 396)(82, 398)(83, 345)(84, 400)(85, 343)(86, 402)(87, 399)(88, 404)(89, 406)(90, 349)(91, 353)(92, 351)(93, 355)(94, 405)(95, 410)(96, 412)(97, 357)(98, 359)(99, 362)(100, 414)(101, 360)(102, 413)(103, 365)(104, 367)(105, 416)(106, 418)(107, 370)(108, 420)(109, 369)(110, 419)(111, 371)(112, 373)(113, 376)(114, 422)(115, 374)(116, 421)(117, 379)(118, 381)(119, 424)(120, 426)(121, 384)(122, 428)(123, 383)(124, 427)(125, 387)(126, 389)(127, 394)(128, 430)(129, 393)(130, 429)(131, 395)(132, 397)(133, 401)(134, 403)(135, 408)(136, 432)(137, 407)(138, 431)(139, 409)(140, 411)(141, 415)(142, 417)(143, 423)(144, 425)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2074
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2072 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
Aut   = $<288, 1031>$ (small group id <288, 1031>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^4, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-2, (Y3^-1 * Y1 * Y3 * Y1)^3, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146)(3, 147, 9, 153)(4, 148, 12, 156)(5, 149, 14, 158)(6, 150, 15, 159)(7, 151, 18, 162)(8, 152, 20, 164)(10, 154, 24, 168)(11, 155, 17, 161)(13, 157, 29, 173)(16, 160, 34, 178)(19, 163, 39, 183)(21, 165, 41, 185)(22, 166, 43, 187)(23, 167, 45, 189)(25, 169, 49, 193)(26, 170, 50, 194)(27, 171, 40, 184)(28, 172, 53, 197)(30, 174, 37, 181)(31, 175, 55, 199)(32, 176, 57, 201)(33, 177, 59, 203)(35, 179, 63, 207)(36, 180, 64, 208)(38, 182, 67, 211)(42, 186, 72, 216)(44, 188, 73, 217)(46, 190, 75, 219)(47, 191, 74, 218)(48, 192, 78, 222)(51, 195, 81, 225)(52, 196, 82, 226)(54, 198, 70, 214)(56, 200, 86, 230)(58, 202, 87, 231)(60, 204, 89, 233)(61, 205, 88, 232)(62, 206, 92, 236)(65, 209, 95, 239)(66, 210, 96, 240)(68, 212, 84, 228)(69, 213, 83, 227)(71, 215, 85, 229)(76, 220, 105, 249)(77, 221, 106, 250)(79, 223, 93, 237)(80, 224, 94, 238)(90, 234, 119, 263)(91, 235, 120, 264)(97, 241, 116, 260)(98, 242, 114, 258)(99, 243, 123, 267)(100, 244, 112, 256)(101, 245, 121, 265)(102, 246, 111, 255)(103, 247, 122, 266)(104, 248, 124, 268)(107, 251, 115, 259)(108, 252, 117, 261)(109, 253, 113, 257)(110, 254, 118, 262)(125, 269, 135, 279)(126, 270, 137, 281)(127, 271, 133, 277)(128, 272, 139, 283)(129, 273, 134, 278)(130, 274, 140, 284)(131, 275, 136, 280)(132, 276, 138, 282)(141, 285, 143, 287)(142, 286, 144, 288)(289, 433, 291, 435)(290, 434, 294, 438)(292, 436, 299, 443)(293, 437, 298, 442)(295, 439, 305, 449)(296, 440, 304, 448)(297, 441, 309, 453)(300, 444, 314, 458)(301, 445, 313, 457)(302, 446, 310, 454)(303, 447, 319, 463)(306, 450, 324, 468)(307, 451, 323, 467)(308, 452, 320, 464)(311, 455, 330, 474)(312, 456, 334, 478)(315, 459, 337, 481)(316, 460, 339, 483)(317, 461, 335, 479)(318, 462, 332, 476)(321, 465, 344, 488)(322, 466, 348, 492)(325, 469, 351, 495)(326, 470, 353, 497)(327, 471, 349, 493)(328, 472, 346, 490)(329, 473, 357, 501)(331, 475, 354, 498)(333, 477, 358, 502)(336, 480, 364, 508)(338, 482, 367, 511)(340, 484, 345, 489)(341, 485, 366, 510)(342, 486, 365, 509)(343, 487, 371, 515)(347, 491, 372, 516)(350, 494, 378, 522)(352, 496, 381, 525)(355, 499, 380, 524)(356, 500, 379, 523)(359, 503, 385, 529)(360, 504, 387, 531)(361, 505, 388, 532)(362, 506, 386, 530)(363, 507, 391, 535)(368, 512, 392, 536)(369, 513, 395, 539)(370, 514, 396, 540)(373, 517, 399, 543)(374, 518, 401, 545)(375, 519, 402, 546)(376, 520, 400, 544)(377, 521, 405, 549)(382, 526, 406, 550)(383, 527, 409, 553)(384, 528, 410, 554)(389, 533, 413, 557)(390, 534, 414, 558)(393, 537, 415, 559)(394, 538, 416, 560)(397, 541, 419, 563)(398, 542, 420, 564)(403, 547, 421, 565)(404, 548, 422, 566)(407, 551, 423, 567)(408, 552, 424, 568)(411, 555, 427, 571)(412, 556, 428, 572)(417, 561, 429, 573)(418, 562, 430, 574)(425, 569, 431, 575)(426, 570, 432, 576)
	L = (1, 292)(2, 295)(3, 298)(4, 301)(5, 289)(6, 304)(7, 307)(8, 290)(9, 310)(10, 313)(11, 291)(12, 315)(13, 293)(14, 309)(15, 320)(16, 323)(17, 294)(18, 325)(19, 296)(20, 319)(21, 330)(22, 332)(23, 297)(24, 335)(25, 299)(26, 339)(27, 340)(28, 300)(29, 334)(30, 302)(31, 344)(32, 346)(33, 303)(34, 349)(35, 305)(36, 353)(37, 354)(38, 306)(39, 348)(40, 308)(41, 358)(42, 318)(43, 351)(44, 311)(45, 357)(46, 364)(47, 365)(48, 312)(49, 314)(50, 366)(51, 345)(52, 316)(53, 367)(54, 317)(55, 372)(56, 328)(57, 337)(58, 321)(59, 371)(60, 378)(61, 379)(62, 322)(63, 324)(64, 380)(65, 331)(66, 326)(67, 381)(68, 327)(69, 385)(70, 386)(71, 329)(72, 388)(73, 387)(74, 333)(75, 341)(76, 342)(77, 336)(78, 391)(79, 392)(80, 338)(81, 396)(82, 395)(83, 399)(84, 400)(85, 343)(86, 402)(87, 401)(88, 347)(89, 355)(90, 356)(91, 350)(92, 405)(93, 406)(94, 352)(95, 410)(96, 409)(97, 362)(98, 359)(99, 413)(100, 414)(101, 360)(102, 361)(103, 368)(104, 363)(105, 416)(106, 415)(107, 419)(108, 420)(109, 369)(110, 370)(111, 376)(112, 373)(113, 421)(114, 422)(115, 374)(116, 375)(117, 382)(118, 377)(119, 424)(120, 423)(121, 427)(122, 428)(123, 383)(124, 384)(125, 390)(126, 389)(127, 429)(128, 430)(129, 393)(130, 394)(131, 398)(132, 397)(133, 404)(134, 403)(135, 431)(136, 432)(137, 407)(138, 408)(139, 412)(140, 411)(141, 418)(142, 417)(143, 426)(144, 425)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2073
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2073 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
Aut   = $<288, 1031>$ (small group id <288, 1031>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1 * Y2 * Y1)^2, (Y2 * Y1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146, 6, 150, 5, 149)(3, 147, 9, 153, 19, 163, 11, 155)(4, 148, 12, 156, 15, 159, 8, 152)(7, 151, 16, 160, 30, 174, 18, 162)(10, 154, 22, 166, 36, 180, 21, 165)(13, 157, 25, 169, 44, 188, 26, 170)(14, 158, 27, 171, 46, 190, 29, 173)(17, 161, 33, 177, 52, 196, 32, 176)(20, 164, 37, 181, 56, 200, 34, 178)(23, 167, 40, 184, 64, 208, 41, 185)(24, 168, 42, 186, 66, 210, 43, 187)(28, 172, 49, 193, 71, 215, 48, 192)(31, 175, 53, 197, 75, 219, 50, 194)(35, 179, 57, 201, 83, 227, 59, 203)(38, 182, 55, 199, 81, 225, 61, 205)(39, 183, 62, 206, 90, 234, 63, 207)(45, 189, 47, 191, 72, 216, 69, 213)(51, 195, 76, 220, 104, 248, 78, 222)(54, 198, 74, 218, 102, 246, 80, 224)(58, 202, 86, 230, 112, 256, 85, 229)(60, 204, 88, 232, 115, 259, 87, 231)(65, 209, 84, 228, 108, 252, 79, 223)(67, 211, 94, 238, 101, 245, 73, 217)(68, 212, 95, 239, 121, 265, 96, 240)(70, 214, 97, 241, 122, 266, 99, 243)(77, 221, 107, 251, 130, 274, 106, 250)(82, 226, 105, 249, 126, 270, 100, 244)(89, 233, 114, 258, 135, 279, 116, 260)(91, 235, 109, 253, 132, 276, 113, 257)(92, 236, 103, 247, 123, 267, 118, 262)(93, 237, 119, 263, 137, 281, 120, 264)(98, 242, 125, 269, 139, 283, 124, 268)(110, 254, 127, 271, 141, 285, 131, 275)(111, 255, 133, 277, 138, 282, 129, 273)(117, 261, 136, 280, 140, 284, 128, 272)(134, 278, 142, 286, 144, 288, 143, 287)(289, 433, 291, 435)(290, 434, 295, 439)(292, 436, 298, 442)(293, 437, 301, 445)(294, 438, 302, 446)(296, 440, 305, 449)(297, 441, 308, 452)(299, 443, 311, 455)(300, 444, 312, 456)(303, 447, 316, 460)(304, 448, 319, 463)(306, 450, 322, 466)(307, 451, 323, 467)(309, 453, 326, 470)(310, 454, 327, 471)(313, 457, 328, 472)(314, 458, 333, 477)(315, 459, 335, 479)(317, 461, 338, 482)(318, 462, 339, 483)(320, 464, 342, 486)(321, 465, 343, 487)(324, 468, 346, 490)(325, 469, 348, 492)(329, 473, 353, 497)(330, 474, 355, 499)(331, 475, 351, 495)(332, 476, 356, 500)(334, 478, 358, 502)(336, 480, 361, 505)(337, 481, 362, 506)(340, 484, 365, 509)(341, 485, 367, 511)(344, 488, 370, 514)(345, 489, 372, 516)(347, 491, 375, 519)(349, 493, 377, 521)(350, 494, 379, 523)(352, 496, 380, 524)(354, 498, 381, 525)(357, 501, 376, 520)(359, 503, 386, 530)(360, 504, 388, 532)(363, 507, 391, 535)(364, 508, 393, 537)(366, 510, 396, 540)(368, 512, 397, 541)(369, 513, 398, 542)(371, 515, 399, 543)(373, 517, 401, 545)(374, 518, 402, 546)(378, 522, 405, 549)(382, 526, 404, 548)(383, 527, 403, 547)(384, 528, 406, 550)(385, 529, 411, 555)(387, 531, 414, 558)(389, 533, 415, 559)(390, 534, 416, 560)(392, 536, 417, 561)(394, 538, 419, 563)(395, 539, 420, 564)(400, 544, 422, 566)(407, 551, 424, 568)(408, 552, 423, 567)(409, 553, 421, 565)(410, 554, 426, 570)(412, 556, 428, 572)(413, 557, 429, 573)(418, 562, 430, 574)(425, 569, 431, 575)(427, 571, 432, 576)
	L = (1, 292)(2, 296)(3, 298)(4, 289)(5, 300)(6, 303)(7, 305)(8, 290)(9, 309)(10, 291)(11, 310)(12, 293)(13, 312)(14, 316)(15, 294)(16, 320)(17, 295)(18, 321)(19, 324)(20, 326)(21, 297)(22, 299)(23, 327)(24, 301)(25, 331)(26, 330)(27, 336)(28, 302)(29, 337)(30, 340)(31, 342)(32, 304)(33, 306)(34, 343)(35, 346)(36, 307)(37, 349)(38, 308)(39, 311)(40, 351)(41, 350)(42, 314)(43, 313)(44, 354)(45, 355)(46, 359)(47, 361)(48, 315)(49, 317)(50, 362)(51, 365)(52, 318)(53, 368)(54, 319)(55, 322)(56, 369)(57, 373)(58, 323)(59, 374)(60, 377)(61, 325)(62, 329)(63, 328)(64, 378)(65, 379)(66, 332)(67, 333)(68, 381)(69, 382)(70, 386)(71, 334)(72, 389)(73, 335)(74, 338)(75, 390)(76, 394)(77, 339)(78, 395)(79, 397)(80, 341)(81, 344)(82, 398)(83, 400)(84, 401)(85, 345)(86, 347)(87, 402)(88, 404)(89, 348)(90, 352)(91, 353)(92, 405)(93, 356)(94, 357)(95, 408)(96, 407)(97, 412)(98, 358)(99, 413)(100, 415)(101, 360)(102, 363)(103, 416)(104, 418)(105, 419)(106, 364)(107, 366)(108, 420)(109, 367)(110, 370)(111, 422)(112, 371)(113, 372)(114, 375)(115, 423)(116, 376)(117, 380)(118, 424)(119, 384)(120, 383)(121, 425)(122, 427)(123, 428)(124, 385)(125, 387)(126, 429)(127, 388)(128, 391)(129, 430)(130, 392)(131, 393)(132, 396)(133, 431)(134, 399)(135, 403)(136, 406)(137, 409)(138, 432)(139, 410)(140, 411)(141, 414)(142, 417)(143, 421)(144, 426)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2072
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2074 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
Aut   = $<288, 1031>$ (small group id <288, 1031>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1, (Y1^-1 * R * Y2)^2, Y1^-1 * Y2 * Y3 * Y1^2 * Y3^-1 * Y2 * Y1^-1, Y3 * Y1^-2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y1^-1)^6, Y3^-2 * Y1^2 * Y2 * Y3^-1 * Y1^-2 * Y3 * Y2 * Y1^-2, Y2 * Y1^-2 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 145, 2, 146, 7, 151, 5, 149)(3, 147, 11, 155, 31, 175, 13, 157)(4, 148, 15, 159, 39, 183, 17, 161)(6, 150, 20, 164, 29, 173, 9, 153)(8, 152, 24, 168, 53, 197, 26, 170)(10, 154, 30, 174, 51, 195, 22, 166)(12, 156, 35, 179, 47, 191, 25, 169)(14, 158, 38, 182, 67, 211, 33, 177)(16, 160, 32, 176, 64, 208, 40, 184)(18, 162, 42, 186, 75, 219, 43, 187)(19, 163, 23, 167, 52, 196, 44, 188)(21, 165, 46, 190, 79, 223, 48, 192)(27, 171, 57, 201, 91, 235, 55, 199)(28, 172, 54, 198, 88, 232, 58, 202)(34, 178, 68, 212, 100, 244, 62, 206)(36, 180, 69, 213, 109, 253, 70, 214)(37, 181, 63, 207, 101, 245, 71, 215)(41, 185, 61, 205, 97, 241, 74, 218)(45, 189, 78, 222, 95, 239, 59, 203)(49, 193, 83, 227, 123, 267, 81, 225)(50, 194, 80, 224, 120, 264, 84, 228)(56, 200, 92, 236, 129, 273, 87, 231)(60, 204, 96, 240, 127, 271, 85, 229)(65, 209, 105, 249, 126, 270, 103, 247)(66, 210, 102, 246, 125, 269, 106, 250)(72, 216, 112, 256, 122, 266, 107, 251)(73, 217, 104, 248, 121, 265, 113, 257)(76, 220, 116, 260, 141, 285, 115, 259)(77, 221, 86, 230, 128, 272, 117, 261)(82, 226, 124, 268, 143, 287, 119, 263)(89, 233, 133, 277, 98, 242, 131, 275)(90, 234, 130, 274, 99, 243, 134, 278)(93, 237, 137, 281, 111, 255, 135, 279)(94, 238, 132, 276, 110, 254, 138, 282)(108, 252, 142, 286, 144, 288, 136, 280)(114, 258, 139, 283, 118, 262, 140, 284)(289, 433, 291, 435)(290, 434, 296, 440)(292, 436, 302, 446)(293, 437, 306, 450)(294, 438, 300, 444)(295, 439, 309, 453)(297, 441, 315, 459)(298, 442, 313, 457)(299, 443, 320, 464)(301, 445, 324, 468)(303, 447, 323, 467)(304, 448, 314, 458)(305, 449, 322, 466)(307, 451, 325, 469)(308, 452, 326, 470)(310, 454, 337, 481)(311, 455, 335, 479)(312, 456, 342, 486)(316, 460, 336, 480)(317, 461, 344, 488)(318, 462, 345, 489)(319, 463, 349, 493)(321, 465, 353, 497)(327, 471, 351, 495)(328, 472, 360, 504)(329, 473, 354, 498)(330, 474, 357, 501)(331, 475, 338, 482)(332, 476, 364, 508)(333, 477, 341, 485)(334, 478, 368, 512)(339, 483, 370, 514)(340, 484, 371, 515)(343, 487, 377, 521)(346, 490, 381, 525)(347, 491, 378, 522)(348, 492, 367, 511)(350, 494, 386, 530)(352, 496, 390, 534)(355, 499, 392, 536)(356, 500, 393, 537)(358, 502, 387, 531)(359, 503, 398, 542)(361, 505, 375, 519)(362, 506, 396, 540)(363, 507, 374, 518)(365, 509, 399, 543)(366, 510, 400, 544)(369, 513, 409, 553)(372, 516, 413, 557)(373, 517, 410, 554)(376, 520, 418, 562)(379, 523, 420, 564)(380, 524, 421, 565)(382, 526, 407, 551)(383, 527, 424, 568)(384, 528, 425, 569)(385, 529, 422, 566)(388, 532, 427, 571)(389, 533, 419, 563)(391, 535, 411, 555)(394, 538, 416, 560)(395, 539, 408, 552)(397, 541, 423, 567)(401, 545, 412, 556)(402, 546, 429, 573)(403, 547, 414, 558)(404, 548, 426, 570)(405, 549, 430, 574)(406, 550, 417, 561)(415, 559, 432, 576)(428, 572, 431, 575)
	L = (1, 292)(2, 297)(3, 300)(4, 304)(5, 307)(6, 289)(7, 310)(8, 313)(9, 316)(10, 290)(11, 321)(12, 314)(13, 325)(14, 291)(15, 293)(16, 294)(17, 329)(18, 323)(19, 324)(20, 328)(21, 335)(22, 338)(23, 295)(24, 343)(25, 336)(26, 302)(27, 296)(28, 298)(29, 347)(30, 346)(31, 350)(32, 305)(33, 354)(34, 299)(35, 301)(36, 303)(37, 306)(38, 341)(39, 358)(40, 361)(41, 353)(42, 359)(43, 337)(44, 365)(45, 308)(46, 369)(47, 331)(48, 315)(49, 309)(50, 311)(51, 373)(52, 372)(53, 375)(54, 317)(55, 378)(56, 312)(57, 367)(58, 382)(59, 377)(60, 318)(61, 327)(62, 387)(63, 319)(64, 391)(65, 320)(66, 322)(67, 395)(68, 394)(69, 332)(70, 386)(71, 399)(72, 326)(73, 333)(74, 402)(75, 403)(76, 330)(77, 398)(78, 401)(79, 407)(80, 339)(81, 410)(82, 334)(83, 363)(84, 414)(85, 409)(86, 340)(87, 360)(88, 419)(89, 342)(90, 344)(91, 423)(92, 422)(93, 345)(94, 348)(95, 427)(96, 426)(97, 421)(98, 349)(99, 351)(100, 424)(101, 418)(102, 355)(103, 408)(104, 352)(105, 362)(106, 429)(107, 411)(108, 356)(109, 420)(110, 357)(111, 364)(112, 417)(113, 415)(114, 416)(115, 413)(116, 425)(117, 428)(118, 366)(119, 381)(120, 392)(121, 368)(122, 370)(123, 390)(124, 400)(125, 371)(126, 374)(127, 406)(128, 393)(129, 432)(130, 379)(131, 397)(132, 376)(133, 383)(134, 388)(135, 389)(136, 380)(137, 431)(138, 405)(139, 385)(140, 384)(141, 396)(142, 404)(143, 430)(144, 412)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2071
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2075 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
Aut   = $<288, 1031>$ (small group id <288, 1031>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2)^4, (Y2 * Y1)^4, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146, 6, 150, 5, 149)(3, 147, 9, 153, 19, 163, 11, 155)(4, 148, 12, 156, 15, 159, 8, 152)(7, 151, 16, 160, 30, 174, 18, 162)(10, 154, 22, 166, 36, 180, 21, 165)(13, 157, 25, 169, 44, 188, 26, 170)(14, 158, 27, 171, 46, 190, 29, 173)(17, 161, 33, 177, 52, 196, 32, 176)(20, 164, 37, 181, 60, 204, 39, 183)(23, 167, 41, 185, 54, 198, 31, 175)(24, 168, 42, 186, 66, 210, 43, 187)(28, 172, 49, 193, 71, 215, 48, 192)(34, 178, 56, 200, 73, 217, 47, 191)(35, 179, 57, 201, 83, 227, 59, 203)(38, 182, 62, 206, 89, 233, 61, 205)(40, 184, 53, 197, 79, 223, 64, 208)(45, 189, 50, 194, 75, 219, 69, 213)(51, 195, 76, 220, 104, 248, 78, 222)(55, 199, 72, 216, 100, 244, 81, 225)(58, 202, 86, 230, 112, 256, 85, 229)(63, 207, 82, 226, 108, 252, 84, 228)(65, 209, 87, 231, 115, 259, 92, 236)(67, 211, 94, 238, 102, 246, 74, 218)(68, 212, 95, 239, 121, 265, 96, 240)(70, 214, 97, 241, 122, 266, 99, 243)(77, 221, 107, 251, 130, 274, 106, 250)(80, 224, 103, 247, 126, 270, 105, 249)(88, 232, 116, 260, 123, 267, 101, 245)(90, 234, 113, 257, 132, 276, 110, 254)(91, 235, 118, 262, 135, 279, 114, 258)(93, 237, 119, 263, 137, 281, 120, 264)(98, 242, 125, 269, 139, 283, 124, 268)(109, 253, 131, 275, 141, 285, 128, 272)(111, 255, 129, 273, 138, 282, 134, 278)(117, 261, 127, 271, 140, 284, 136, 280)(133, 277, 143, 287, 144, 288, 142, 286)(289, 433, 291, 435)(290, 434, 295, 439)(292, 436, 298, 442)(293, 437, 301, 445)(294, 438, 302, 446)(296, 440, 305, 449)(297, 441, 308, 452)(299, 443, 311, 455)(300, 444, 312, 456)(303, 447, 316, 460)(304, 448, 319, 463)(306, 450, 322, 466)(307, 451, 323, 467)(309, 453, 326, 470)(310, 454, 328, 472)(313, 457, 333, 477)(314, 458, 325, 469)(315, 459, 335, 479)(317, 461, 338, 482)(318, 462, 339, 483)(320, 464, 341, 485)(321, 465, 343, 487)(324, 468, 346, 490)(327, 471, 351, 495)(329, 473, 353, 497)(330, 474, 349, 493)(331, 475, 355, 499)(332, 476, 356, 500)(334, 478, 358, 502)(336, 480, 360, 504)(337, 481, 362, 506)(340, 484, 365, 509)(342, 486, 368, 512)(344, 488, 370, 514)(345, 489, 372, 516)(347, 491, 375, 519)(348, 492, 376, 520)(350, 494, 378, 522)(352, 496, 379, 523)(354, 498, 381, 525)(357, 501, 380, 524)(359, 503, 386, 530)(361, 505, 389, 533)(363, 507, 391, 535)(364, 508, 393, 537)(366, 510, 396, 540)(367, 511, 397, 541)(369, 513, 398, 542)(371, 515, 399, 543)(373, 517, 401, 545)(374, 518, 402, 546)(377, 521, 405, 549)(382, 526, 406, 550)(383, 527, 403, 547)(384, 528, 404, 548)(385, 529, 411, 555)(387, 531, 414, 558)(388, 532, 415, 559)(390, 534, 416, 560)(392, 536, 417, 561)(394, 538, 419, 563)(395, 539, 420, 564)(400, 544, 421, 565)(407, 551, 424, 568)(408, 552, 423, 567)(409, 553, 422, 566)(410, 554, 426, 570)(412, 556, 428, 572)(413, 557, 429, 573)(418, 562, 430, 574)(425, 569, 431, 575)(427, 571, 432, 576)
	L = (1, 292)(2, 296)(3, 298)(4, 289)(5, 300)(6, 303)(7, 305)(8, 290)(9, 309)(10, 291)(11, 310)(12, 293)(13, 312)(14, 316)(15, 294)(16, 320)(17, 295)(18, 321)(19, 324)(20, 326)(21, 297)(22, 299)(23, 328)(24, 301)(25, 331)(26, 330)(27, 336)(28, 302)(29, 337)(30, 340)(31, 341)(32, 304)(33, 306)(34, 343)(35, 346)(36, 307)(37, 349)(38, 308)(39, 350)(40, 311)(41, 352)(42, 314)(43, 313)(44, 354)(45, 355)(46, 359)(47, 360)(48, 315)(49, 317)(50, 362)(51, 365)(52, 318)(53, 319)(54, 367)(55, 322)(56, 369)(57, 373)(58, 323)(59, 374)(60, 377)(61, 325)(62, 327)(63, 378)(64, 329)(65, 379)(66, 332)(67, 333)(68, 381)(69, 382)(70, 386)(71, 334)(72, 335)(73, 388)(74, 338)(75, 390)(76, 394)(77, 339)(78, 395)(79, 342)(80, 397)(81, 344)(82, 398)(83, 400)(84, 401)(85, 345)(86, 347)(87, 402)(88, 405)(89, 348)(90, 351)(91, 353)(92, 406)(93, 356)(94, 357)(95, 408)(96, 407)(97, 412)(98, 358)(99, 413)(100, 361)(101, 415)(102, 363)(103, 416)(104, 418)(105, 419)(106, 364)(107, 366)(108, 420)(109, 368)(110, 370)(111, 421)(112, 371)(113, 372)(114, 375)(115, 423)(116, 424)(117, 376)(118, 380)(119, 384)(120, 383)(121, 425)(122, 427)(123, 428)(124, 385)(125, 387)(126, 429)(127, 389)(128, 391)(129, 430)(130, 392)(131, 393)(132, 396)(133, 399)(134, 431)(135, 403)(136, 404)(137, 409)(138, 432)(139, 410)(140, 411)(141, 414)(142, 417)(143, 422)(144, 426)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2070
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2076 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3, (Y2 * Y1)^6, (Y1 * Y2 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 146, 2, 145)(3, 151, 7, 147)(4, 153, 9, 148)(5, 155, 11, 149)(6, 157, 13, 150)(8, 161, 17, 152)(10, 165, 21, 154)(12, 168, 24, 156)(14, 172, 28, 158)(15, 173, 29, 159)(16, 175, 31, 160)(18, 179, 35, 162)(19, 180, 36, 163)(20, 182, 38, 164)(22, 186, 42, 166)(23, 188, 44, 167)(25, 192, 48, 169)(26, 193, 49, 170)(27, 195, 51, 171)(30, 191, 47, 174)(32, 204, 60, 176)(33, 205, 61, 177)(34, 187, 43, 178)(37, 212, 68, 181)(39, 197, 53, 183)(40, 196, 52, 184)(41, 216, 72, 185)(45, 223, 79, 189)(46, 224, 80, 190)(50, 231, 87, 194)(54, 235, 91, 198)(55, 218, 74, 199)(56, 222, 78, 200)(57, 238, 94, 201)(58, 239, 95, 202)(59, 219, 75, 203)(62, 236, 92, 206)(63, 242, 98, 207)(64, 241, 97, 208)(65, 248, 104, 209)(66, 233, 89, 210)(67, 250, 106, 211)(69, 253, 109, 213)(70, 229, 85, 214)(71, 252, 108, 215)(73, 225, 81, 217)(76, 257, 113, 220)(77, 258, 114, 221)(82, 261, 117, 226)(83, 260, 116, 227)(84, 267, 123, 228)(86, 269, 125, 230)(88, 272, 128, 232)(90, 271, 127, 234)(93, 263, 119, 237)(96, 274, 130, 240)(99, 262, 118, 243)(100, 256, 112, 244)(101, 270, 126, 245)(102, 268, 124, 246)(103, 273, 129, 247)(105, 265, 121, 249)(107, 264, 120, 251)(110, 266, 122, 254)(111, 259, 115, 255)(131, 282, 138, 275)(132, 287, 143, 276)(133, 288, 144, 277)(134, 286, 142, 278)(135, 285, 141, 279)(136, 283, 139, 280)(137, 284, 140, 281)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 22)(12, 25)(13, 26)(16, 32)(17, 33)(20, 39)(21, 40)(23, 45)(24, 46)(27, 52)(28, 53)(29, 55)(30, 57)(31, 58)(34, 63)(35, 64)(36, 66)(37, 69)(38, 70)(41, 73)(42, 74)(43, 76)(44, 77)(47, 82)(48, 83)(49, 85)(50, 88)(51, 89)(54, 92)(56, 93)(59, 97)(60, 98)(61, 100)(62, 102)(65, 105)(67, 107)(68, 99)(71, 110)(72, 111)(75, 112)(78, 116)(79, 117)(80, 119)(81, 121)(84, 124)(86, 126)(87, 118)(90, 129)(91, 130)(94, 114)(95, 113)(96, 133)(101, 135)(103, 136)(104, 137)(106, 132)(108, 134)(109, 131)(115, 140)(120, 142)(122, 143)(123, 144)(125, 139)(127, 141)(128, 138)(145, 148)(146, 150)(147, 152)(149, 156)(151, 160)(153, 164)(154, 162)(155, 167)(157, 171)(158, 169)(159, 174)(161, 178)(163, 181)(165, 185)(166, 187)(168, 191)(170, 194)(172, 198)(173, 200)(175, 203)(176, 201)(177, 206)(179, 209)(180, 211)(182, 199)(183, 213)(184, 215)(186, 219)(188, 222)(189, 220)(190, 225)(192, 228)(193, 230)(195, 218)(196, 232)(197, 234)(202, 240)(204, 243)(205, 245)(207, 246)(208, 247)(210, 248)(212, 252)(214, 237)(216, 244)(217, 254)(221, 259)(223, 262)(224, 264)(226, 265)(227, 266)(229, 267)(231, 271)(233, 256)(235, 263)(236, 273)(238, 275)(239, 276)(241, 277)(242, 278)(249, 280)(250, 272)(251, 281)(253, 269)(255, 279)(257, 282)(258, 283)(260, 284)(261, 285)(268, 287)(270, 288)(274, 286)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2077
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.2077 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y3 * Y2)^3, (Y1^-1 * Y2 * Y3)^2, Y3 * Y1^-2 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1, (Y3 * Y2 * Y3 * Y1^-2)^2, Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1 * Y3 * Y1^-2)^2, (Y3 * Y1^-1 * Y2 * Y1^-2)^2, Y1 * Y3 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1 * Y3 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 146, 2, 150, 6, 149, 5, 145)(3, 153, 9, 169, 25, 155, 11, 147)(4, 156, 12, 176, 32, 158, 14, 148)(7, 163, 19, 193, 49, 165, 21, 151)(8, 166, 22, 200, 56, 168, 24, 152)(10, 172, 28, 203, 59, 167, 23, 154)(13, 179, 35, 223, 79, 180, 36, 157)(15, 182, 38, 227, 83, 183, 39, 159)(16, 184, 40, 212, 68, 186, 42, 160)(17, 187, 43, 233, 89, 189, 45, 161)(18, 190, 46, 239, 95, 192, 48, 162)(20, 196, 52, 241, 97, 191, 47, 164)(26, 207, 63, 238, 94, 209, 65, 170)(27, 210, 66, 235, 91, 211, 67, 171)(29, 214, 70, 237, 93, 215, 71, 173)(30, 216, 72, 234, 90, 217, 73, 174)(31, 218, 74, 177, 33, 219, 75, 175)(34, 221, 77, 242, 98, 222, 78, 178)(37, 225, 81, 240, 96, 226, 82, 181)(41, 188, 44, 236, 92, 206, 62, 185)(50, 244, 100, 230, 86, 246, 102, 194)(51, 247, 103, 229, 85, 248, 104, 195)(53, 250, 106, 224, 80, 251, 107, 197)(54, 252, 108, 228, 84, 253, 109, 198)(55, 254, 110, 201, 57, 255, 111, 199)(58, 257, 113, 232, 88, 258, 114, 202)(60, 259, 115, 231, 87, 260, 116, 204)(61, 256, 112, 220, 76, 243, 99, 205)(64, 249, 105, 275, 131, 261, 117, 208)(69, 245, 101, 276, 132, 269, 125, 213)(118, 277, 133, 272, 128, 286, 142, 262)(119, 287, 143, 271, 127, 283, 139, 263)(120, 284, 140, 270, 126, 279, 135, 264)(121, 282, 138, 266, 122, 288, 144, 265)(123, 278, 134, 274, 130, 285, 141, 267)(124, 281, 137, 273, 129, 280, 136, 268)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 26)(10, 29)(11, 30)(12, 33)(14, 27)(16, 41)(18, 47)(19, 50)(20, 53)(21, 54)(22, 57)(24, 51)(25, 61)(28, 68)(31, 46)(32, 52)(34, 71)(35, 80)(36, 69)(37, 64)(38, 84)(39, 86)(40, 55)(42, 85)(43, 90)(44, 93)(45, 94)(48, 91)(49, 99)(56, 92)(58, 107)(59, 105)(60, 101)(62, 117)(63, 118)(65, 120)(66, 122)(67, 119)(70, 96)(72, 126)(73, 128)(74, 121)(75, 127)(76, 89)(77, 124)(78, 130)(79, 95)(81, 129)(82, 123)(83, 112)(87, 106)(88, 125)(97, 132)(98, 131)(100, 133)(102, 135)(103, 137)(104, 134)(108, 140)(109, 142)(110, 136)(111, 141)(113, 139)(114, 144)(115, 143)(116, 138)(145, 148)(146, 152)(147, 154)(149, 160)(150, 162)(151, 164)(153, 171)(155, 175)(156, 178)(157, 173)(158, 181)(159, 179)(161, 188)(163, 195)(165, 199)(166, 202)(167, 197)(168, 204)(169, 206)(170, 208)(172, 213)(174, 214)(176, 220)(177, 189)(180, 193)(182, 229)(183, 201)(184, 231)(185, 224)(186, 232)(187, 235)(190, 240)(191, 237)(192, 242)(194, 245)(196, 249)(198, 250)(200, 256)(203, 233)(205, 239)(207, 263)(209, 265)(210, 267)(211, 268)(212, 243)(215, 238)(216, 271)(217, 266)(218, 273)(219, 274)(221, 262)(222, 270)(223, 261)(225, 264)(226, 272)(227, 241)(228, 269)(230, 251)(234, 275)(236, 276)(244, 278)(246, 280)(247, 282)(248, 283)(252, 285)(253, 281)(254, 287)(255, 288)(257, 277)(258, 284)(259, 279)(260, 286)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2076
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.2078 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, (Y3 * Y2)^6, (Y1 * Y3 * Y2)^4 ]
Map:: polytopal
	R = (1, 145, 4, 148)(2, 146, 6, 150)(3, 147, 8, 152)(5, 149, 12, 156)(7, 151, 15, 159)(9, 153, 19, 163)(10, 154, 21, 165)(11, 155, 22, 166)(13, 157, 26, 170)(14, 158, 28, 172)(16, 160, 32, 176)(17, 161, 34, 178)(18, 162, 36, 180)(20, 164, 39, 183)(23, 167, 45, 189)(24, 168, 47, 191)(25, 169, 49, 193)(27, 171, 52, 196)(29, 173, 56, 200)(30, 174, 58, 202)(31, 175, 60, 204)(33, 177, 63, 207)(35, 179, 65, 209)(37, 181, 67, 211)(38, 182, 69, 213)(40, 184, 72, 216)(41, 185, 73, 217)(42, 186, 75, 219)(43, 187, 77, 221)(44, 188, 79, 223)(46, 190, 82, 226)(48, 192, 84, 228)(50, 194, 86, 230)(51, 195, 88, 232)(53, 197, 91, 235)(54, 198, 92, 236)(55, 199, 94, 238)(57, 201, 96, 240)(59, 203, 98, 242)(61, 205, 99, 243)(62, 206, 101, 245)(64, 208, 103, 247)(66, 210, 106, 250)(68, 212, 107, 251)(70, 214, 109, 253)(71, 215, 110, 254)(74, 218, 113, 257)(76, 220, 115, 259)(78, 222, 117, 261)(80, 224, 118, 262)(81, 225, 120, 264)(83, 227, 122, 266)(85, 229, 125, 269)(87, 231, 126, 270)(89, 233, 128, 272)(90, 234, 129, 273)(93, 237, 131, 275)(95, 239, 132, 276)(97, 241, 133, 277)(100, 244, 135, 279)(102, 246, 136, 280)(104, 248, 127, 271)(105, 249, 137, 281)(108, 252, 123, 267)(111, 255, 134, 278)(112, 256, 138, 282)(114, 258, 139, 283)(116, 260, 140, 284)(119, 263, 142, 286)(121, 265, 143, 287)(124, 268, 144, 288)(130, 274, 141, 285)(289, 290)(291, 295)(292, 297)(293, 299)(294, 301)(296, 304)(298, 308)(300, 311)(302, 315)(303, 317)(305, 321)(306, 323)(307, 325)(309, 328)(310, 330)(312, 334)(313, 336)(314, 338)(316, 341)(318, 345)(319, 347)(320, 349)(322, 352)(324, 354)(326, 356)(327, 351)(329, 344)(331, 364)(332, 366)(333, 368)(335, 371)(337, 373)(339, 375)(340, 370)(342, 363)(343, 381)(346, 385)(348, 377)(350, 388)(353, 392)(355, 374)(357, 396)(358, 367)(359, 383)(360, 391)(361, 387)(362, 400)(365, 404)(369, 407)(372, 411)(376, 415)(378, 402)(379, 410)(380, 406)(382, 409)(384, 403)(386, 412)(389, 418)(390, 401)(393, 405)(394, 414)(395, 413)(397, 417)(398, 416)(399, 408)(419, 429)(420, 432)(421, 428)(422, 426)(423, 431)(424, 430)(425, 427)(433, 435)(434, 437)(436, 442)(438, 446)(439, 443)(440, 449)(441, 450)(444, 456)(445, 457)(447, 462)(448, 463)(451, 470)(452, 467)(453, 473)(454, 475)(455, 476)(458, 483)(459, 480)(460, 486)(461, 487)(464, 494)(465, 491)(466, 482)(468, 481)(469, 479)(471, 502)(472, 503)(474, 506)(477, 513)(478, 510)(484, 521)(485, 522)(488, 527)(489, 525)(490, 512)(492, 526)(493, 509)(495, 534)(496, 519)(497, 537)(498, 528)(499, 524)(500, 515)(501, 520)(504, 543)(505, 518)(507, 546)(508, 544)(511, 545)(514, 553)(516, 556)(517, 547)(523, 562)(529, 551)(530, 566)(531, 550)(532, 548)(533, 564)(535, 569)(536, 563)(538, 567)(539, 560)(540, 565)(541, 558)(542, 568)(549, 573)(552, 571)(554, 576)(555, 570)(557, 574)(559, 572)(561, 575)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2081
Graph:: simple bipartite
	v = 216 e = 288 f = 36
	degree seq :: [ 2^144, 4^72 ]

E19.2079 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1)^3, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1 * Y1 * Y2, (Y3^-1 * Y1 * Y3 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3 * Y2 * Y3^-1)^2, Y2 * Y3^-2 * Y2 * Y3 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 145, 4, 148, 14, 158, 5, 149)(2, 146, 7, 151, 22, 166, 8, 152)(3, 147, 10, 154, 28, 172, 11, 155)(6, 150, 18, 162, 46, 190, 19, 163)(9, 153, 25, 169, 62, 206, 26, 170)(12, 156, 31, 175, 73, 217, 32, 176)(13, 157, 34, 178, 47, 191, 35, 179)(15, 159, 39, 183, 61, 205, 40, 184)(16, 160, 41, 185, 87, 231, 42, 186)(17, 161, 43, 187, 90, 234, 44, 188)(20, 164, 49, 193, 101, 245, 50, 194)(21, 165, 52, 196, 29, 173, 53, 197)(23, 167, 57, 201, 89, 233, 58, 202)(24, 168, 59, 203, 115, 259, 60, 204)(27, 171, 64, 208, 91, 235, 65, 209)(30, 174, 69, 213, 118, 262, 70, 214)(33, 177, 55, 199, 110, 254, 76, 220)(36, 180, 68, 212, 95, 239, 80, 224)(37, 181, 82, 226, 104, 248, 51, 195)(38, 182, 81, 225, 117, 261, 66, 210)(45, 189, 92, 236, 63, 207, 93, 237)(48, 192, 97, 241, 132, 276, 98, 242)(54, 198, 96, 240, 67, 211, 108, 252)(56, 200, 109, 253, 131, 275, 94, 238)(71, 215, 119, 263, 84, 228, 120, 264)(72, 216, 121, 265, 78, 222, 122, 266)(74, 218, 123, 267, 83, 227, 124, 268)(75, 219, 125, 269, 85, 229, 126, 270)(77, 221, 127, 271, 88, 232, 128, 272)(79, 223, 129, 273, 86, 230, 130, 274)(99, 243, 133, 277, 112, 256, 134, 278)(100, 244, 135, 279, 106, 250, 136, 280)(102, 246, 137, 281, 111, 255, 138, 282)(103, 247, 139, 283, 113, 257, 140, 284)(105, 249, 141, 285, 116, 260, 142, 286)(107, 251, 143, 287, 114, 258, 144, 288)(289, 290)(291, 297)(292, 300)(293, 303)(294, 305)(295, 308)(296, 311)(298, 312)(299, 317)(301, 321)(302, 324)(304, 306)(307, 335)(309, 339)(310, 342)(313, 336)(314, 351)(315, 344)(316, 354)(318, 331)(319, 359)(320, 362)(322, 363)(323, 366)(325, 369)(326, 333)(327, 371)(328, 372)(329, 373)(330, 360)(332, 379)(334, 382)(337, 387)(338, 390)(340, 391)(341, 394)(343, 397)(345, 399)(346, 400)(347, 401)(348, 388)(349, 384)(350, 392)(352, 404)(353, 395)(355, 383)(356, 377)(357, 393)(358, 402)(361, 396)(364, 378)(365, 385)(367, 381)(368, 389)(370, 403)(374, 386)(375, 398)(376, 380)(405, 420)(406, 419)(407, 421)(408, 426)(409, 432)(410, 430)(411, 425)(412, 422)(413, 431)(414, 429)(415, 428)(416, 424)(417, 427)(418, 423)(433, 435)(434, 438)(436, 445)(437, 448)(439, 453)(440, 456)(441, 449)(442, 459)(443, 462)(444, 458)(446, 469)(447, 470)(450, 477)(451, 480)(452, 476)(454, 487)(455, 488)(457, 493)(460, 499)(461, 500)(463, 504)(464, 507)(465, 495)(466, 509)(467, 511)(468, 508)(471, 510)(472, 517)(473, 518)(474, 520)(475, 521)(478, 527)(479, 528)(481, 532)(482, 535)(483, 523)(484, 537)(485, 539)(486, 536)(489, 538)(490, 545)(491, 546)(492, 548)(494, 541)(496, 531)(497, 543)(498, 526)(501, 534)(502, 544)(503, 524)(505, 549)(506, 529)(512, 547)(513, 522)(514, 550)(515, 525)(516, 530)(519, 540)(533, 563)(542, 564)(551, 573)(552, 576)(553, 571)(554, 568)(555, 574)(556, 575)(557, 567)(558, 572)(559, 565)(560, 569)(561, 570)(562, 566)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2080
Graph:: simple bipartite
	v = 180 e = 288 f = 72
	degree seq :: [ 2^144, 8^36 ]

E19.2080 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, (Y3 * Y2)^6, (Y1 * Y3 * Y2)^4 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436)(2, 146, 290, 434, 6, 150, 294, 438)(3, 147, 291, 435, 8, 152, 296, 440)(5, 149, 293, 437, 12, 156, 300, 444)(7, 151, 295, 439, 15, 159, 303, 447)(9, 153, 297, 441, 19, 163, 307, 451)(10, 154, 298, 442, 21, 165, 309, 453)(11, 155, 299, 443, 22, 166, 310, 454)(13, 157, 301, 445, 26, 170, 314, 458)(14, 158, 302, 446, 28, 172, 316, 460)(16, 160, 304, 448, 32, 176, 320, 464)(17, 161, 305, 449, 34, 178, 322, 466)(18, 162, 306, 450, 36, 180, 324, 468)(20, 164, 308, 452, 39, 183, 327, 471)(23, 167, 311, 455, 45, 189, 333, 477)(24, 168, 312, 456, 47, 191, 335, 479)(25, 169, 313, 457, 49, 193, 337, 481)(27, 171, 315, 459, 52, 196, 340, 484)(29, 173, 317, 461, 56, 200, 344, 488)(30, 174, 318, 462, 58, 202, 346, 490)(31, 175, 319, 463, 60, 204, 348, 492)(33, 177, 321, 465, 63, 207, 351, 495)(35, 179, 323, 467, 65, 209, 353, 497)(37, 181, 325, 469, 67, 211, 355, 499)(38, 182, 326, 470, 69, 213, 357, 501)(40, 184, 328, 472, 72, 216, 360, 504)(41, 185, 329, 473, 73, 217, 361, 505)(42, 186, 330, 474, 75, 219, 363, 507)(43, 187, 331, 475, 77, 221, 365, 509)(44, 188, 332, 476, 79, 223, 367, 511)(46, 190, 334, 478, 82, 226, 370, 514)(48, 192, 336, 480, 84, 228, 372, 516)(50, 194, 338, 482, 86, 230, 374, 518)(51, 195, 339, 483, 88, 232, 376, 520)(53, 197, 341, 485, 91, 235, 379, 523)(54, 198, 342, 486, 92, 236, 380, 524)(55, 199, 343, 487, 94, 238, 382, 526)(57, 201, 345, 489, 96, 240, 384, 528)(59, 203, 347, 491, 98, 242, 386, 530)(61, 205, 349, 493, 99, 243, 387, 531)(62, 206, 350, 494, 101, 245, 389, 533)(64, 208, 352, 496, 103, 247, 391, 535)(66, 210, 354, 498, 106, 250, 394, 538)(68, 212, 356, 500, 107, 251, 395, 539)(70, 214, 358, 502, 109, 253, 397, 541)(71, 215, 359, 503, 110, 254, 398, 542)(74, 218, 362, 506, 113, 257, 401, 545)(76, 220, 364, 508, 115, 259, 403, 547)(78, 222, 366, 510, 117, 261, 405, 549)(80, 224, 368, 512, 118, 262, 406, 550)(81, 225, 369, 513, 120, 264, 408, 552)(83, 227, 371, 515, 122, 266, 410, 554)(85, 229, 373, 517, 125, 269, 413, 557)(87, 231, 375, 519, 126, 270, 414, 558)(89, 233, 377, 521, 128, 272, 416, 560)(90, 234, 378, 522, 129, 273, 417, 561)(93, 237, 381, 525, 131, 275, 419, 563)(95, 239, 383, 527, 132, 276, 420, 564)(97, 241, 385, 529, 133, 277, 421, 565)(100, 244, 388, 532, 135, 279, 423, 567)(102, 246, 390, 534, 136, 280, 424, 568)(104, 248, 392, 536, 127, 271, 415, 559)(105, 249, 393, 537, 137, 281, 425, 569)(108, 252, 396, 540, 123, 267, 411, 555)(111, 255, 399, 543, 134, 278, 422, 566)(112, 256, 400, 544, 138, 282, 426, 570)(114, 258, 402, 546, 139, 283, 427, 571)(116, 260, 404, 548, 140, 284, 428, 572)(119, 263, 407, 551, 142, 286, 430, 574)(121, 265, 409, 553, 143, 287, 431, 575)(124, 268, 412, 556, 144, 288, 432, 576)(130, 274, 418, 562, 141, 285, 429, 573)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 160)(9, 148)(10, 164)(11, 149)(12, 167)(13, 150)(14, 171)(15, 173)(16, 152)(17, 177)(18, 179)(19, 181)(20, 154)(21, 184)(22, 186)(23, 156)(24, 190)(25, 192)(26, 194)(27, 158)(28, 197)(29, 159)(30, 201)(31, 203)(32, 205)(33, 161)(34, 208)(35, 162)(36, 210)(37, 163)(38, 212)(39, 207)(40, 165)(41, 200)(42, 166)(43, 220)(44, 222)(45, 224)(46, 168)(47, 227)(48, 169)(49, 229)(50, 170)(51, 231)(52, 226)(53, 172)(54, 219)(55, 237)(56, 185)(57, 174)(58, 241)(59, 175)(60, 233)(61, 176)(62, 244)(63, 183)(64, 178)(65, 248)(66, 180)(67, 230)(68, 182)(69, 252)(70, 223)(71, 239)(72, 247)(73, 243)(74, 256)(75, 198)(76, 187)(77, 260)(78, 188)(79, 214)(80, 189)(81, 263)(82, 196)(83, 191)(84, 267)(85, 193)(86, 211)(87, 195)(88, 271)(89, 204)(90, 258)(91, 266)(92, 262)(93, 199)(94, 265)(95, 215)(96, 259)(97, 202)(98, 268)(99, 217)(100, 206)(101, 274)(102, 257)(103, 216)(104, 209)(105, 261)(106, 270)(107, 269)(108, 213)(109, 273)(110, 272)(111, 264)(112, 218)(113, 246)(114, 234)(115, 240)(116, 221)(117, 249)(118, 236)(119, 225)(120, 255)(121, 238)(122, 235)(123, 228)(124, 242)(125, 251)(126, 250)(127, 232)(128, 254)(129, 253)(130, 245)(131, 285)(132, 288)(133, 284)(134, 282)(135, 287)(136, 286)(137, 283)(138, 278)(139, 281)(140, 277)(141, 275)(142, 280)(143, 279)(144, 276)(289, 435)(290, 437)(291, 433)(292, 442)(293, 434)(294, 446)(295, 443)(296, 449)(297, 450)(298, 436)(299, 439)(300, 456)(301, 457)(302, 438)(303, 462)(304, 463)(305, 440)(306, 441)(307, 470)(308, 467)(309, 473)(310, 475)(311, 476)(312, 444)(313, 445)(314, 483)(315, 480)(316, 486)(317, 487)(318, 447)(319, 448)(320, 494)(321, 491)(322, 482)(323, 452)(324, 481)(325, 479)(326, 451)(327, 502)(328, 503)(329, 453)(330, 506)(331, 454)(332, 455)(333, 513)(334, 510)(335, 469)(336, 459)(337, 468)(338, 466)(339, 458)(340, 521)(341, 522)(342, 460)(343, 461)(344, 527)(345, 525)(346, 512)(347, 465)(348, 526)(349, 509)(350, 464)(351, 534)(352, 519)(353, 537)(354, 528)(355, 524)(356, 515)(357, 520)(358, 471)(359, 472)(360, 543)(361, 518)(362, 474)(363, 546)(364, 544)(365, 493)(366, 478)(367, 545)(368, 490)(369, 477)(370, 553)(371, 500)(372, 556)(373, 547)(374, 505)(375, 496)(376, 501)(377, 484)(378, 485)(379, 562)(380, 499)(381, 489)(382, 492)(383, 488)(384, 498)(385, 551)(386, 566)(387, 550)(388, 548)(389, 564)(390, 495)(391, 569)(392, 563)(393, 497)(394, 567)(395, 560)(396, 565)(397, 558)(398, 568)(399, 504)(400, 508)(401, 511)(402, 507)(403, 517)(404, 532)(405, 573)(406, 531)(407, 529)(408, 571)(409, 514)(410, 576)(411, 570)(412, 516)(413, 574)(414, 541)(415, 572)(416, 539)(417, 575)(418, 523)(419, 536)(420, 533)(421, 540)(422, 530)(423, 538)(424, 542)(425, 535)(426, 555)(427, 552)(428, 559)(429, 549)(430, 557)(431, 561)(432, 554)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2079
Transitivity :: VT+
Graph:: bipartite
	v = 72 e = 288 f = 180
	degree seq :: [ 8^72 ]

E19.2081 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1)^3, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1 * Y1 * Y2, (Y3^-1 * Y1 * Y3 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3 * Y2 * Y3^-1)^2, Y2 * Y3^-2 * Y2 * Y3 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436, 14, 158, 302, 446, 5, 149, 293, 437)(2, 146, 290, 434, 7, 151, 295, 439, 22, 166, 310, 454, 8, 152, 296, 440)(3, 147, 291, 435, 10, 154, 298, 442, 28, 172, 316, 460, 11, 155, 299, 443)(6, 150, 294, 438, 18, 162, 306, 450, 46, 190, 334, 478, 19, 163, 307, 451)(9, 153, 297, 441, 25, 169, 313, 457, 62, 206, 350, 494, 26, 170, 314, 458)(12, 156, 300, 444, 31, 175, 319, 463, 73, 217, 361, 505, 32, 176, 320, 464)(13, 157, 301, 445, 34, 178, 322, 466, 47, 191, 335, 479, 35, 179, 323, 467)(15, 159, 303, 447, 39, 183, 327, 471, 61, 205, 349, 493, 40, 184, 328, 472)(16, 160, 304, 448, 41, 185, 329, 473, 87, 231, 375, 519, 42, 186, 330, 474)(17, 161, 305, 449, 43, 187, 331, 475, 90, 234, 378, 522, 44, 188, 332, 476)(20, 164, 308, 452, 49, 193, 337, 481, 101, 245, 389, 533, 50, 194, 338, 482)(21, 165, 309, 453, 52, 196, 340, 484, 29, 173, 317, 461, 53, 197, 341, 485)(23, 167, 311, 455, 57, 201, 345, 489, 89, 233, 377, 521, 58, 202, 346, 490)(24, 168, 312, 456, 59, 203, 347, 491, 115, 259, 403, 547, 60, 204, 348, 492)(27, 171, 315, 459, 64, 208, 352, 496, 91, 235, 379, 523, 65, 209, 353, 497)(30, 174, 318, 462, 69, 213, 357, 501, 118, 262, 406, 550, 70, 214, 358, 502)(33, 177, 321, 465, 55, 199, 343, 487, 110, 254, 398, 542, 76, 220, 364, 508)(36, 180, 324, 468, 68, 212, 356, 500, 95, 239, 383, 527, 80, 224, 368, 512)(37, 181, 325, 469, 82, 226, 370, 514, 104, 248, 392, 536, 51, 195, 339, 483)(38, 182, 326, 470, 81, 225, 369, 513, 117, 261, 405, 549, 66, 210, 354, 498)(45, 189, 333, 477, 92, 236, 380, 524, 63, 207, 351, 495, 93, 237, 381, 525)(48, 192, 336, 480, 97, 241, 385, 529, 132, 276, 420, 564, 98, 242, 386, 530)(54, 198, 342, 486, 96, 240, 384, 528, 67, 211, 355, 499, 108, 252, 396, 540)(56, 200, 344, 488, 109, 253, 397, 541, 131, 275, 419, 563, 94, 238, 382, 526)(71, 215, 359, 503, 119, 263, 407, 551, 84, 228, 372, 516, 120, 264, 408, 552)(72, 216, 360, 504, 121, 265, 409, 553, 78, 222, 366, 510, 122, 266, 410, 554)(74, 218, 362, 506, 123, 267, 411, 555, 83, 227, 371, 515, 124, 268, 412, 556)(75, 219, 363, 507, 125, 269, 413, 557, 85, 229, 373, 517, 126, 270, 414, 558)(77, 221, 365, 509, 127, 271, 415, 559, 88, 232, 376, 520, 128, 272, 416, 560)(79, 223, 367, 511, 129, 273, 417, 561, 86, 230, 374, 518, 130, 274, 418, 562)(99, 243, 387, 531, 133, 277, 421, 565, 112, 256, 400, 544, 134, 278, 422, 566)(100, 244, 388, 532, 135, 279, 423, 567, 106, 250, 394, 538, 136, 280, 424, 568)(102, 246, 390, 534, 137, 281, 425, 569, 111, 255, 399, 543, 138, 282, 426, 570)(103, 247, 391, 535, 139, 283, 427, 571, 113, 257, 401, 545, 140, 284, 428, 572)(105, 249, 393, 537, 141, 285, 429, 573, 116, 260, 404, 548, 142, 286, 430, 574)(107, 251, 395, 539, 143, 287, 431, 575, 114, 258, 402, 546, 144, 288, 432, 576)
	L = (1, 146)(2, 145)(3, 153)(4, 156)(5, 159)(6, 161)(7, 164)(8, 167)(9, 147)(10, 168)(11, 173)(12, 148)(13, 177)(14, 180)(15, 149)(16, 162)(17, 150)(18, 160)(19, 191)(20, 151)(21, 195)(22, 198)(23, 152)(24, 154)(25, 192)(26, 207)(27, 200)(28, 210)(29, 155)(30, 187)(31, 215)(32, 218)(33, 157)(34, 219)(35, 222)(36, 158)(37, 225)(38, 189)(39, 227)(40, 228)(41, 229)(42, 216)(43, 174)(44, 235)(45, 182)(46, 238)(47, 163)(48, 169)(49, 243)(50, 246)(51, 165)(52, 247)(53, 250)(54, 166)(55, 253)(56, 171)(57, 255)(58, 256)(59, 257)(60, 244)(61, 240)(62, 248)(63, 170)(64, 260)(65, 251)(66, 172)(67, 239)(68, 233)(69, 249)(70, 258)(71, 175)(72, 186)(73, 252)(74, 176)(75, 178)(76, 234)(77, 241)(78, 179)(79, 237)(80, 245)(81, 181)(82, 259)(83, 183)(84, 184)(85, 185)(86, 242)(87, 254)(88, 236)(89, 212)(90, 220)(91, 188)(92, 232)(93, 223)(94, 190)(95, 211)(96, 205)(97, 221)(98, 230)(99, 193)(100, 204)(101, 224)(102, 194)(103, 196)(104, 206)(105, 213)(106, 197)(107, 209)(108, 217)(109, 199)(110, 231)(111, 201)(112, 202)(113, 203)(114, 214)(115, 226)(116, 208)(117, 276)(118, 275)(119, 277)(120, 282)(121, 288)(122, 286)(123, 281)(124, 278)(125, 287)(126, 285)(127, 284)(128, 280)(129, 283)(130, 279)(131, 262)(132, 261)(133, 263)(134, 268)(135, 274)(136, 272)(137, 267)(138, 264)(139, 273)(140, 271)(141, 270)(142, 266)(143, 269)(144, 265)(289, 435)(290, 438)(291, 433)(292, 445)(293, 448)(294, 434)(295, 453)(296, 456)(297, 449)(298, 459)(299, 462)(300, 458)(301, 436)(302, 469)(303, 470)(304, 437)(305, 441)(306, 477)(307, 480)(308, 476)(309, 439)(310, 487)(311, 488)(312, 440)(313, 493)(314, 444)(315, 442)(316, 499)(317, 500)(318, 443)(319, 504)(320, 507)(321, 495)(322, 509)(323, 511)(324, 508)(325, 446)(326, 447)(327, 510)(328, 517)(329, 518)(330, 520)(331, 521)(332, 452)(333, 450)(334, 527)(335, 528)(336, 451)(337, 532)(338, 535)(339, 523)(340, 537)(341, 539)(342, 536)(343, 454)(344, 455)(345, 538)(346, 545)(347, 546)(348, 548)(349, 457)(350, 541)(351, 465)(352, 531)(353, 543)(354, 526)(355, 460)(356, 461)(357, 534)(358, 544)(359, 524)(360, 463)(361, 549)(362, 529)(363, 464)(364, 468)(365, 466)(366, 471)(367, 467)(368, 547)(369, 522)(370, 550)(371, 525)(372, 530)(373, 472)(374, 473)(375, 540)(376, 474)(377, 475)(378, 513)(379, 483)(380, 503)(381, 515)(382, 498)(383, 478)(384, 479)(385, 506)(386, 516)(387, 496)(388, 481)(389, 563)(390, 501)(391, 482)(392, 486)(393, 484)(394, 489)(395, 485)(396, 519)(397, 494)(398, 564)(399, 497)(400, 502)(401, 490)(402, 491)(403, 512)(404, 492)(405, 505)(406, 514)(407, 573)(408, 576)(409, 571)(410, 568)(411, 574)(412, 575)(413, 567)(414, 572)(415, 565)(416, 569)(417, 570)(418, 566)(419, 533)(420, 542)(421, 559)(422, 562)(423, 557)(424, 554)(425, 560)(426, 561)(427, 553)(428, 558)(429, 551)(430, 555)(431, 556)(432, 552)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2078
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 288 f = 216
	degree seq :: [ 16^36 ]

E19.2082 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3)^4, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (R * Y2 * Y1 * Y2 * Y1 * Y2)^2, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146)(3, 147, 9, 153)(4, 148, 12, 156)(5, 149, 13, 157)(6, 150, 14, 158)(7, 151, 17, 161)(8, 152, 18, 162)(10, 154, 22, 166)(11, 155, 23, 167)(15, 159, 33, 177)(16, 160, 34, 178)(19, 163, 41, 185)(20, 164, 44, 188)(21, 165, 45, 189)(24, 168, 52, 196)(25, 169, 40, 184)(26, 170, 55, 199)(27, 171, 56, 200)(28, 172, 59, 203)(29, 173, 36, 180)(30, 174, 60, 204)(31, 175, 53, 197)(32, 176, 63, 207)(35, 179, 69, 213)(37, 181, 71, 215)(38, 182, 48, 192)(39, 183, 74, 218)(42, 186, 78, 222)(43, 187, 79, 223)(46, 190, 82, 226)(47, 191, 81, 225)(49, 193, 85, 229)(50, 194, 73, 217)(51, 195, 70, 214)(54, 198, 68, 212)(57, 201, 89, 233)(58, 202, 67, 211)(61, 205, 96, 240)(62, 206, 97, 241)(64, 208, 100, 244)(65, 209, 99, 243)(66, 210, 102, 246)(72, 216, 106, 250)(75, 219, 93, 237)(76, 220, 83, 227)(77, 221, 105, 249)(80, 224, 107, 251)(84, 228, 115, 259)(86, 230, 117, 261)(87, 231, 114, 258)(88, 232, 95, 239)(90, 234, 98, 242)(91, 235, 108, 252)(92, 236, 94, 238)(101, 245, 128, 272)(103, 247, 130, 274)(104, 248, 127, 271)(109, 253, 132, 276)(110, 254, 129, 273)(111, 255, 126, 270)(112, 256, 134, 278)(113, 257, 124, 268)(116, 260, 123, 267)(118, 262, 133, 277)(119, 263, 122, 266)(120, 264, 131, 275)(121, 265, 125, 269)(135, 279, 144, 288)(136, 280, 141, 285)(137, 281, 143, 287)(138, 282, 142, 286)(139, 283, 140, 284)(289, 433, 291, 435)(290, 434, 294, 438)(292, 436, 299, 443)(293, 437, 298, 442)(295, 439, 304, 448)(296, 440, 303, 447)(297, 441, 307, 451)(300, 444, 312, 456)(301, 445, 315, 459)(302, 446, 318, 462)(305, 449, 323, 467)(306, 450, 326, 470)(308, 452, 331, 475)(309, 453, 330, 474)(310, 454, 334, 478)(311, 455, 337, 481)(313, 457, 342, 486)(314, 458, 341, 485)(316, 460, 346, 490)(317, 461, 345, 489)(319, 463, 350, 494)(320, 464, 349, 493)(321, 465, 352, 496)(322, 466, 354, 498)(324, 468, 358, 502)(325, 469, 332, 476)(327, 471, 361, 505)(328, 472, 360, 504)(329, 473, 363, 507)(333, 477, 343, 487)(335, 479, 372, 516)(336, 480, 371, 515)(338, 482, 375, 519)(339, 483, 374, 518)(340, 484, 376, 520)(344, 488, 380, 524)(347, 491, 368, 512)(348, 492, 381, 525)(351, 495, 359, 503)(353, 497, 389, 533)(355, 499, 392, 536)(356, 500, 391, 535)(357, 501, 393, 537)(362, 506, 386, 530)(364, 508, 398, 542)(365, 509, 397, 541)(366, 510, 399, 543)(367, 511, 401, 545)(369, 513, 379, 523)(370, 514, 404, 548)(373, 517, 407, 551)(377, 521, 409, 553)(378, 522, 408, 552)(382, 526, 411, 555)(383, 527, 410, 554)(384, 528, 412, 556)(385, 529, 414, 558)(387, 531, 396, 540)(388, 532, 417, 561)(390, 534, 420, 564)(394, 538, 422, 566)(395, 539, 421, 565)(400, 544, 423, 567)(402, 546, 425, 569)(403, 547, 424, 568)(405, 549, 427, 571)(406, 550, 426, 570)(413, 557, 428, 572)(415, 559, 430, 574)(416, 560, 429, 573)(418, 562, 432, 576)(419, 563, 431, 575)
	L = (1, 292)(2, 295)(3, 298)(4, 293)(5, 289)(6, 303)(7, 296)(8, 290)(9, 308)(10, 299)(11, 291)(12, 313)(13, 316)(14, 319)(15, 304)(16, 294)(17, 324)(18, 327)(19, 330)(20, 309)(21, 297)(22, 335)(23, 338)(24, 341)(25, 314)(26, 300)(27, 345)(28, 317)(29, 301)(30, 349)(31, 320)(32, 302)(33, 353)(34, 355)(35, 332)(36, 325)(37, 305)(38, 360)(39, 328)(40, 306)(41, 364)(42, 331)(43, 307)(44, 358)(45, 368)(46, 371)(47, 336)(48, 310)(49, 374)(50, 339)(51, 311)(52, 377)(53, 342)(54, 312)(55, 379)(56, 321)(57, 346)(58, 315)(59, 343)(60, 382)(61, 350)(62, 318)(63, 386)(64, 380)(65, 344)(66, 391)(67, 356)(68, 322)(69, 394)(70, 323)(71, 396)(72, 361)(73, 326)(74, 359)(75, 397)(76, 365)(77, 329)(78, 400)(79, 402)(80, 369)(81, 333)(82, 405)(83, 372)(84, 334)(85, 366)(86, 375)(87, 337)(88, 408)(89, 378)(90, 340)(91, 347)(92, 389)(93, 410)(94, 383)(95, 348)(96, 413)(97, 415)(98, 387)(99, 351)(100, 418)(101, 352)(102, 384)(103, 392)(104, 354)(105, 421)(106, 395)(107, 357)(108, 362)(109, 398)(110, 363)(111, 407)(112, 373)(113, 424)(114, 403)(115, 367)(116, 426)(117, 406)(118, 370)(119, 423)(120, 409)(121, 376)(122, 411)(123, 381)(124, 420)(125, 390)(126, 429)(127, 416)(128, 385)(129, 431)(130, 419)(131, 388)(132, 428)(133, 422)(134, 393)(135, 399)(136, 425)(137, 401)(138, 427)(139, 404)(140, 412)(141, 430)(142, 414)(143, 432)(144, 417)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.2085
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2083 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, Y3^6, R * Y2 * Y1 * Y3^2 * R * Y1 * Y2, Y3^-1 * Y2 * Y3 * R * Y3^-2 * Y2 * R, (Y3 * Y1)^4, Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-1, (Y2 * Y1)^6, Y2 * Y1 * Y2 * R * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * R * Y3^-1 * Y2 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146)(3, 147, 9, 153)(4, 148, 12, 156)(5, 149, 14, 158)(6, 150, 16, 160)(7, 151, 19, 163)(8, 152, 21, 165)(10, 154, 26, 170)(11, 155, 28, 172)(13, 157, 22, 166)(15, 159, 20, 164)(17, 161, 39, 183)(18, 162, 41, 185)(23, 167, 49, 193)(24, 168, 52, 196)(25, 169, 54, 198)(27, 171, 55, 199)(29, 173, 53, 197)(30, 174, 62, 206)(31, 175, 44, 188)(32, 176, 48, 192)(33, 177, 65, 209)(34, 178, 66, 210)(35, 179, 45, 189)(36, 180, 68, 212)(37, 181, 63, 207)(38, 182, 67, 211)(40, 184, 72, 216)(42, 186, 71, 215)(43, 187, 61, 205)(46, 190, 78, 222)(47, 191, 58, 202)(50, 194, 82, 226)(51, 195, 84, 228)(56, 200, 88, 232)(57, 201, 86, 230)(59, 203, 91, 235)(60, 204, 92, 236)(64, 208, 97, 241)(69, 213, 102, 246)(70, 214, 104, 248)(73, 217, 106, 250)(74, 218, 96, 240)(75, 219, 95, 239)(76, 220, 108, 252)(77, 221, 87, 231)(79, 223, 99, 243)(80, 224, 89, 233)(81, 225, 93, 237)(83, 227, 112, 256)(85, 229, 111, 255)(90, 234, 120, 264)(94, 238, 101, 245)(98, 242, 100, 244)(103, 247, 127, 271)(105, 249, 126, 270)(107, 251, 133, 277)(109, 253, 134, 278)(110, 254, 131, 275)(113, 257, 130, 274)(114, 258, 119, 263)(115, 259, 118, 262)(116, 260, 128, 272)(117, 261, 125, 269)(121, 265, 124, 268)(122, 266, 129, 273)(123, 267, 132, 276)(135, 279, 141, 285)(136, 280, 140, 284)(137, 281, 144, 288)(138, 282, 143, 287)(139, 283, 142, 286)(289, 433, 291, 435)(290, 434, 294, 438)(292, 436, 299, 443)(293, 437, 298, 442)(295, 439, 306, 450)(296, 440, 305, 449)(297, 441, 311, 455)(300, 444, 318, 462)(301, 445, 317, 461)(302, 446, 322, 466)(303, 447, 315, 459)(304, 448, 324, 468)(307, 451, 331, 475)(308, 452, 330, 474)(309, 453, 335, 479)(310, 454, 328, 472)(312, 456, 339, 483)(313, 457, 338, 482)(314, 458, 344, 488)(316, 460, 348, 492)(319, 463, 352, 496)(320, 464, 351, 495)(321, 465, 347, 491)(323, 467, 355, 499)(325, 469, 358, 502)(326, 470, 357, 501)(327, 471, 361, 505)(329, 473, 364, 508)(332, 476, 365, 509)(333, 477, 340, 484)(334, 478, 363, 507)(336, 480, 342, 486)(337, 481, 367, 511)(341, 485, 373, 517)(343, 487, 371, 515)(345, 489, 378, 522)(346, 490, 377, 521)(349, 493, 381, 525)(350, 494, 382, 526)(353, 497, 384, 528)(354, 498, 386, 530)(356, 500, 387, 531)(359, 503, 393, 537)(360, 504, 391, 535)(362, 506, 395, 539)(366, 510, 374, 518)(368, 512, 398, 542)(369, 513, 397, 541)(370, 514, 401, 545)(372, 516, 404, 548)(375, 519, 403, 547)(376, 520, 405, 549)(379, 523, 407, 551)(380, 524, 409, 553)(383, 527, 410, 554)(385, 529, 411, 555)(388, 532, 413, 557)(389, 533, 412, 556)(390, 534, 416, 560)(392, 536, 418, 562)(394, 538, 419, 563)(396, 540, 422, 566)(399, 543, 424, 568)(400, 544, 423, 567)(402, 546, 425, 569)(406, 550, 426, 570)(408, 552, 427, 571)(414, 558, 429, 573)(415, 559, 428, 572)(417, 561, 430, 574)(420, 564, 431, 575)(421, 565, 432, 576)
	L = (1, 292)(2, 295)(3, 298)(4, 301)(5, 289)(6, 305)(7, 308)(8, 290)(9, 312)(10, 315)(11, 291)(12, 319)(13, 321)(14, 323)(15, 293)(16, 325)(17, 328)(18, 294)(19, 332)(20, 334)(21, 336)(22, 296)(23, 338)(24, 341)(25, 297)(26, 345)(27, 347)(28, 349)(29, 299)(30, 351)(31, 302)(32, 300)(33, 303)(34, 352)(35, 353)(36, 357)(37, 359)(38, 304)(39, 362)(40, 363)(41, 350)(42, 306)(43, 340)(44, 309)(45, 307)(46, 310)(47, 365)(48, 366)(49, 368)(50, 371)(51, 311)(52, 374)(53, 375)(54, 335)(55, 313)(56, 377)(57, 316)(58, 314)(59, 317)(60, 378)(61, 379)(62, 383)(63, 384)(64, 318)(65, 320)(66, 327)(67, 322)(68, 388)(69, 391)(70, 324)(71, 385)(72, 326)(73, 386)(74, 329)(75, 330)(76, 395)(77, 331)(78, 333)(79, 397)(80, 399)(81, 337)(82, 402)(83, 403)(84, 376)(85, 339)(86, 342)(87, 343)(88, 406)(89, 407)(90, 344)(91, 346)(92, 370)(93, 348)(94, 364)(95, 354)(96, 355)(97, 360)(98, 410)(99, 412)(100, 414)(101, 356)(102, 417)(103, 411)(104, 394)(105, 358)(106, 420)(107, 361)(108, 390)(109, 423)(110, 367)(111, 408)(112, 369)(113, 409)(114, 372)(115, 373)(116, 425)(117, 404)(118, 380)(119, 381)(120, 400)(121, 426)(122, 382)(123, 393)(124, 428)(125, 387)(126, 421)(127, 389)(128, 422)(129, 392)(130, 430)(131, 418)(132, 396)(133, 415)(134, 431)(135, 427)(136, 398)(137, 401)(138, 405)(139, 424)(140, 432)(141, 413)(142, 416)(143, 419)(144, 429)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2086
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2084 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, (Y3^-1 * Y1 * Y3^-1)^2, Y3^6, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146)(3, 147, 9, 153)(4, 148, 12, 156)(5, 149, 14, 158)(6, 150, 16, 160)(7, 151, 19, 163)(8, 152, 21, 165)(10, 154, 25, 169)(11, 155, 27, 171)(13, 157, 22, 166)(15, 159, 20, 164)(17, 161, 37, 181)(18, 162, 39, 183)(23, 167, 47, 191)(24, 168, 49, 193)(26, 170, 50, 194)(28, 172, 48, 192)(29, 173, 55, 199)(30, 174, 42, 186)(31, 175, 46, 190)(32, 176, 59, 203)(33, 177, 51, 195)(34, 178, 43, 187)(35, 179, 61, 205)(36, 180, 63, 207)(38, 182, 64, 208)(40, 184, 62, 206)(41, 185, 69, 213)(44, 188, 73, 217)(45, 189, 65, 209)(52, 196, 76, 220)(53, 197, 80, 224)(54, 198, 83, 227)(56, 200, 77, 221)(57, 201, 85, 229)(58, 202, 87, 231)(60, 204, 88, 232)(66, 210, 90, 234)(67, 211, 94, 238)(68, 212, 97, 241)(70, 214, 91, 235)(71, 215, 99, 243)(72, 216, 101, 245)(74, 218, 102, 246)(75, 219, 93, 237)(78, 222, 105, 249)(79, 223, 89, 233)(81, 225, 107, 251)(82, 226, 109, 253)(84, 228, 110, 254)(86, 230, 108, 252)(92, 236, 116, 260)(95, 239, 118, 262)(96, 240, 120, 264)(98, 242, 121, 265)(100, 244, 119, 263)(103, 247, 125, 269)(104, 248, 127, 271)(106, 250, 128, 272)(111, 255, 131, 275)(112, 256, 130, 274)(113, 257, 129, 273)(114, 258, 132, 276)(115, 259, 134, 278)(117, 261, 135, 279)(122, 266, 138, 282)(123, 267, 137, 281)(124, 268, 136, 280)(126, 270, 133, 277)(139, 283, 144, 288)(140, 284, 143, 287)(141, 285, 142, 286)(289, 433, 291, 435)(290, 434, 294, 438)(292, 436, 299, 443)(293, 437, 298, 442)(295, 439, 306, 450)(296, 440, 305, 449)(297, 441, 304, 448)(300, 444, 317, 461)(301, 445, 316, 460)(302, 446, 321, 465)(303, 447, 314, 458)(307, 451, 329, 473)(308, 452, 328, 472)(309, 453, 333, 477)(310, 454, 326, 470)(311, 455, 324, 468)(312, 456, 323, 467)(313, 457, 339, 483)(315, 459, 343, 487)(318, 462, 346, 490)(319, 463, 345, 489)(320, 464, 342, 486)(322, 466, 348, 492)(325, 469, 353, 497)(327, 471, 357, 501)(330, 474, 360, 504)(331, 475, 359, 503)(332, 476, 356, 500)(334, 478, 362, 506)(335, 479, 363, 507)(336, 480, 352, 496)(337, 481, 367, 511)(338, 482, 350, 494)(340, 484, 370, 514)(341, 485, 369, 513)(344, 488, 372, 516)(347, 491, 374, 518)(349, 493, 377, 521)(351, 495, 381, 525)(354, 498, 384, 528)(355, 499, 383, 527)(358, 502, 386, 530)(361, 505, 388, 532)(364, 508, 392, 536)(365, 509, 391, 535)(366, 510, 380, 524)(368, 512, 394, 538)(371, 515, 396, 540)(373, 517, 390, 534)(375, 519, 389, 533)(376, 520, 387, 531)(378, 522, 403, 547)(379, 523, 402, 546)(382, 526, 405, 549)(385, 529, 407, 551)(393, 537, 414, 558)(395, 539, 416, 560)(397, 541, 415, 559)(398, 542, 413, 557)(399, 543, 412, 556)(400, 544, 411, 555)(401, 545, 410, 554)(404, 548, 421, 565)(406, 550, 423, 567)(408, 552, 422, 566)(409, 553, 420, 564)(417, 561, 429, 573)(418, 562, 428, 572)(419, 563, 427, 571)(424, 568, 432, 576)(425, 569, 431, 575)(426, 570, 430, 574)
	L = (1, 292)(2, 295)(3, 298)(4, 301)(5, 289)(6, 305)(7, 308)(8, 290)(9, 311)(10, 314)(11, 291)(12, 318)(13, 320)(14, 322)(15, 293)(16, 323)(17, 326)(18, 294)(19, 330)(20, 332)(21, 334)(22, 296)(23, 336)(24, 297)(25, 340)(26, 342)(27, 344)(28, 299)(29, 345)(30, 302)(31, 300)(32, 303)(33, 346)(34, 347)(35, 350)(36, 304)(37, 354)(38, 356)(39, 358)(40, 306)(41, 359)(42, 309)(43, 307)(44, 310)(45, 360)(46, 361)(47, 364)(48, 366)(49, 368)(50, 312)(51, 369)(52, 315)(53, 313)(54, 316)(55, 370)(56, 371)(57, 374)(58, 317)(59, 319)(60, 321)(61, 378)(62, 380)(63, 382)(64, 324)(65, 383)(66, 327)(67, 325)(68, 328)(69, 384)(70, 385)(71, 388)(72, 329)(73, 331)(74, 333)(75, 391)(76, 337)(77, 335)(78, 338)(79, 392)(80, 393)(81, 396)(82, 339)(83, 341)(84, 343)(85, 399)(86, 348)(87, 401)(88, 400)(89, 402)(90, 351)(91, 349)(92, 352)(93, 403)(94, 404)(95, 407)(96, 353)(97, 355)(98, 357)(99, 410)(100, 362)(101, 412)(102, 411)(103, 414)(104, 363)(105, 365)(106, 367)(107, 417)(108, 372)(109, 419)(110, 418)(111, 375)(112, 373)(113, 376)(114, 421)(115, 377)(116, 379)(117, 381)(118, 424)(119, 386)(120, 426)(121, 425)(122, 389)(123, 387)(124, 390)(125, 427)(126, 394)(127, 429)(128, 428)(129, 397)(130, 395)(131, 398)(132, 430)(133, 405)(134, 432)(135, 431)(136, 408)(137, 406)(138, 409)(139, 415)(140, 413)(141, 416)(142, 422)(143, 420)(144, 423)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2087
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2085 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (R * Y3)^2, Y1^4, (Y2 * Y3^-1)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y3^-1 * Y1^-2 * Y3 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146, 7, 151, 5, 149)(3, 147, 11, 155, 29, 173, 13, 157)(4, 148, 15, 159, 38, 182, 16, 160)(6, 150, 19, 163, 27, 171, 9, 153)(8, 152, 23, 167, 53, 197, 25, 169)(10, 154, 28, 172, 51, 195, 21, 165)(12, 156, 33, 177, 69, 213, 34, 178)(14, 158, 37, 181, 50, 194, 31, 175)(17, 161, 42, 186, 79, 223, 43, 187)(18, 162, 22, 166, 52, 196, 45, 189)(20, 164, 47, 191, 83, 227, 49, 193)(24, 168, 57, 201, 40, 184, 58, 202)(26, 170, 61, 205, 44, 188, 55, 199)(30, 174, 65, 209, 86, 230, 67, 211)(32, 176, 48, 192, 85, 229, 62, 206)(35, 179, 72, 216, 84, 228, 73, 217)(36, 180, 64, 208, 87, 231, 75, 219)(39, 183, 78, 222, 88, 232, 56, 200)(41, 185, 77, 221, 89, 233, 63, 207)(46, 190, 60, 204, 90, 234, 82, 226)(54, 198, 91, 235, 81, 225, 93, 237)(59, 203, 97, 241, 80, 224, 98, 242)(66, 210, 104, 248, 71, 215, 105, 249)(68, 212, 108, 252, 74, 218, 102, 246)(70, 214, 109, 253, 115, 259, 103, 247)(76, 220, 107, 251, 116, 260, 112, 256)(92, 236, 120, 264, 96, 240, 121, 265)(94, 238, 124, 268, 99, 243, 118, 262)(95, 239, 125, 269, 113, 257, 119, 263)(100, 244, 123, 267, 114, 258, 128, 272)(101, 245, 117, 261, 111, 255, 127, 271)(106, 250, 126, 270, 110, 254, 122, 266)(129, 273, 144, 288, 132, 276, 142, 286)(130, 274, 140, 284, 133, 277, 137, 281)(131, 275, 141, 285, 135, 279, 138, 282)(134, 278, 143, 287, 136, 280, 139, 283)(289, 433, 291, 435)(290, 434, 296, 440)(292, 436, 302, 446)(293, 437, 305, 449)(294, 438, 300, 444)(295, 439, 308, 452)(297, 441, 314, 458)(298, 442, 312, 456)(299, 443, 318, 462)(301, 445, 323, 467)(303, 447, 327, 471)(304, 448, 328, 472)(306, 450, 332, 476)(307, 451, 334, 478)(309, 453, 338, 482)(310, 454, 336, 480)(311, 455, 342, 486)(313, 457, 347, 491)(315, 459, 350, 494)(316, 460, 352, 496)(317, 461, 351, 495)(319, 463, 356, 500)(320, 464, 354, 498)(321, 465, 358, 502)(322, 466, 359, 503)(324, 468, 362, 506)(325, 469, 364, 508)(326, 470, 363, 507)(329, 473, 367, 511)(330, 474, 368, 512)(331, 475, 369, 513)(333, 477, 357, 501)(335, 479, 372, 516)(337, 481, 374, 518)(339, 483, 376, 520)(340, 484, 378, 522)(341, 485, 377, 521)(343, 487, 382, 526)(344, 488, 380, 524)(345, 489, 383, 527)(346, 490, 384, 528)(348, 492, 387, 531)(349, 493, 388, 532)(353, 497, 389, 533)(355, 499, 394, 538)(360, 504, 398, 542)(361, 505, 399, 543)(365, 509, 371, 515)(366, 510, 401, 545)(370, 514, 402, 546)(373, 517, 403, 547)(375, 519, 404, 548)(379, 523, 405, 549)(381, 525, 410, 554)(385, 529, 414, 558)(386, 530, 415, 559)(390, 534, 418, 562)(391, 535, 417, 561)(392, 536, 419, 563)(393, 537, 420, 564)(395, 539, 421, 565)(396, 540, 422, 566)(397, 541, 423, 567)(400, 544, 424, 568)(406, 550, 426, 570)(407, 551, 425, 569)(408, 552, 427, 571)(409, 553, 428, 572)(411, 555, 429, 573)(412, 556, 430, 574)(413, 557, 431, 575)(416, 560, 432, 576)
	L = (1, 292)(2, 297)(3, 300)(4, 294)(5, 306)(6, 289)(7, 309)(8, 312)(9, 298)(10, 290)(11, 319)(12, 302)(13, 324)(14, 291)(15, 293)(16, 329)(17, 327)(18, 303)(19, 304)(20, 336)(21, 310)(22, 295)(23, 343)(24, 314)(25, 348)(26, 296)(27, 351)(28, 315)(29, 350)(30, 354)(31, 320)(32, 299)(33, 301)(34, 335)(35, 358)(36, 321)(37, 322)(38, 333)(39, 332)(40, 334)(41, 307)(42, 349)(43, 370)(44, 305)(45, 365)(46, 367)(47, 325)(48, 338)(49, 375)(50, 308)(51, 377)(52, 339)(53, 376)(54, 380)(55, 344)(56, 311)(57, 313)(58, 330)(59, 383)(60, 345)(61, 346)(62, 352)(63, 316)(64, 317)(65, 390)(66, 356)(67, 395)(68, 318)(69, 363)(70, 362)(71, 364)(72, 396)(73, 400)(74, 323)(75, 371)(76, 372)(77, 326)(78, 331)(79, 328)(80, 384)(81, 401)(82, 366)(83, 357)(84, 359)(85, 337)(86, 403)(87, 373)(88, 378)(89, 340)(90, 341)(91, 406)(92, 382)(93, 411)(94, 342)(95, 387)(96, 388)(97, 412)(98, 416)(99, 347)(100, 368)(101, 417)(102, 391)(103, 353)(104, 355)(105, 360)(106, 419)(107, 392)(108, 393)(109, 361)(110, 420)(111, 423)(112, 397)(113, 402)(114, 369)(115, 404)(116, 374)(117, 425)(118, 407)(119, 379)(120, 381)(121, 385)(122, 427)(123, 408)(124, 409)(125, 386)(126, 428)(127, 431)(128, 413)(129, 418)(130, 389)(131, 421)(132, 422)(133, 394)(134, 398)(135, 424)(136, 399)(137, 426)(138, 405)(139, 429)(140, 430)(141, 410)(142, 414)(143, 432)(144, 415)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2082
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2086 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y1 * Y2 * Y1^-2 * Y2 * Y1^-1 * Y3^-3, Y1^-1 * Y3^-1 * Y2 * Y3^2 * Y1^2 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y3^-2 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146, 7, 151, 5, 149)(3, 147, 11, 155, 29, 173, 13, 157)(4, 148, 15, 159, 21, 165, 10, 154)(6, 150, 18, 162, 22, 166, 9, 153)(8, 152, 23, 167, 51, 195, 25, 169)(12, 156, 33, 177, 62, 206, 32, 176)(14, 158, 36, 180, 63, 207, 31, 175)(16, 160, 28, 172, 49, 193, 39, 183)(17, 161, 41, 185, 81, 225, 42, 186)(19, 163, 27, 171, 50, 194, 44, 188)(20, 164, 45, 189, 72, 216, 47, 191)(24, 168, 55, 199, 86, 230, 54, 198)(26, 170, 58, 202, 78, 222, 53, 197)(30, 174, 64, 208, 88, 232, 66, 210)(34, 178, 69, 213, 48, 192, 71, 215)(35, 179, 73, 217, 87, 231, 74, 218)(37, 181, 68, 212, 46, 190, 76, 220)(38, 182, 77, 221, 59, 203, 79, 223)(40, 184, 80, 224, 61, 205, 60, 204)(43, 187, 85, 229, 56, 200, 83, 227)(52, 196, 89, 233, 84, 228, 91, 235)(57, 201, 94, 238, 82, 226, 95, 239)(65, 209, 100, 244, 112, 256, 99, 243)(67, 211, 103, 247, 106, 250, 98, 242)(70, 214, 105, 249, 104, 248, 107, 251)(75, 219, 111, 255, 101, 245, 109, 253)(90, 234, 120, 264, 113, 257, 119, 263)(92, 236, 122, 266, 116, 260, 118, 262)(93, 237, 123, 267, 114, 258, 124, 268)(96, 240, 128, 272, 115, 259, 126, 270)(97, 241, 117, 261, 110, 254, 127, 271)(102, 246, 125, 269, 108, 252, 121, 265)(129, 273, 144, 288, 133, 277, 138, 282)(130, 274, 141, 285, 136, 280, 137, 281)(131, 275, 140, 284, 134, 278, 143, 287)(132, 276, 139, 283, 135, 279, 142, 286)(289, 433, 291, 435)(290, 434, 296, 440)(292, 436, 302, 446)(293, 437, 305, 449)(294, 438, 300, 444)(295, 439, 308, 452)(297, 441, 314, 458)(298, 442, 312, 456)(299, 443, 318, 462)(301, 445, 323, 467)(303, 447, 326, 470)(304, 448, 325, 469)(306, 450, 331, 475)(307, 451, 322, 466)(309, 453, 336, 480)(310, 454, 334, 478)(311, 455, 340, 484)(313, 457, 345, 489)(315, 459, 347, 491)(316, 460, 344, 488)(317, 461, 349, 493)(319, 463, 355, 499)(320, 464, 353, 497)(321, 465, 358, 502)(324, 468, 363, 507)(327, 471, 366, 510)(328, 472, 360, 504)(329, 473, 370, 514)(330, 474, 372, 516)(332, 476, 374, 518)(333, 477, 375, 519)(335, 479, 376, 520)(337, 481, 350, 494)(338, 482, 351, 495)(339, 483, 368, 512)(341, 485, 380, 524)(342, 486, 378, 522)(343, 487, 381, 525)(346, 490, 384, 528)(348, 492, 369, 513)(352, 496, 385, 529)(354, 498, 390, 534)(356, 500, 392, 536)(357, 501, 389, 533)(359, 503, 394, 538)(361, 505, 396, 540)(362, 506, 398, 542)(364, 508, 400, 544)(365, 509, 401, 545)(367, 511, 402, 546)(371, 515, 403, 547)(373, 517, 404, 548)(377, 521, 405, 549)(379, 523, 409, 553)(382, 526, 413, 557)(383, 527, 415, 559)(386, 530, 418, 562)(387, 531, 417, 561)(388, 532, 419, 563)(391, 535, 420, 564)(393, 537, 421, 565)(395, 539, 422, 566)(397, 541, 423, 567)(399, 543, 424, 568)(406, 550, 426, 570)(407, 551, 425, 569)(408, 552, 427, 571)(410, 554, 428, 572)(411, 555, 429, 573)(412, 556, 430, 574)(414, 558, 431, 575)(416, 560, 432, 576)
	L = (1, 292)(2, 297)(3, 300)(4, 304)(5, 306)(6, 289)(7, 309)(8, 312)(9, 315)(10, 290)(11, 319)(12, 322)(13, 324)(14, 291)(15, 293)(16, 328)(17, 326)(18, 332)(19, 294)(20, 334)(21, 337)(22, 295)(23, 341)(24, 344)(25, 346)(26, 296)(27, 348)(28, 298)(29, 350)(30, 353)(31, 356)(32, 299)(33, 301)(34, 360)(35, 358)(36, 364)(37, 302)(38, 366)(39, 303)(40, 307)(41, 371)(42, 373)(43, 305)(44, 368)(45, 357)(46, 351)(47, 359)(48, 308)(49, 349)(50, 310)(51, 374)(52, 378)(53, 367)(54, 311)(55, 313)(56, 369)(57, 381)(58, 365)(59, 314)(60, 316)(61, 338)(62, 336)(63, 317)(64, 386)(65, 389)(66, 391)(67, 318)(68, 333)(69, 320)(70, 394)(71, 321)(72, 325)(73, 397)(74, 399)(75, 323)(76, 335)(77, 330)(78, 339)(79, 329)(80, 327)(81, 347)(82, 402)(83, 342)(84, 401)(85, 343)(86, 331)(87, 392)(88, 400)(89, 406)(90, 403)(91, 410)(92, 340)(93, 404)(94, 414)(95, 416)(96, 345)(97, 417)(98, 395)(99, 352)(100, 354)(101, 375)(102, 419)(103, 393)(104, 355)(105, 362)(106, 376)(107, 361)(108, 422)(109, 387)(110, 421)(111, 388)(112, 363)(113, 384)(114, 380)(115, 370)(116, 372)(117, 425)(118, 412)(119, 377)(120, 379)(121, 427)(122, 411)(123, 383)(124, 382)(125, 430)(126, 407)(127, 429)(128, 408)(129, 423)(130, 385)(131, 424)(132, 390)(133, 420)(134, 418)(135, 396)(136, 398)(137, 431)(138, 405)(139, 432)(140, 409)(141, 428)(142, 426)(143, 413)(144, 415)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2083
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2087 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^4, (Y3 * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, Y3^6 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146, 7, 151, 5, 149)(3, 147, 11, 155, 29, 173, 13, 157)(4, 148, 15, 159, 21, 165, 10, 154)(6, 150, 18, 162, 22, 166, 9, 153)(8, 152, 23, 167, 49, 193, 25, 169)(12, 156, 33, 177, 58, 202, 32, 176)(14, 158, 35, 179, 59, 203, 31, 175)(16, 160, 28, 172, 47, 191, 38, 182)(17, 161, 40, 184, 61, 205, 30, 174)(19, 163, 27, 171, 48, 192, 42, 186)(20, 164, 43, 187, 73, 217, 45, 189)(24, 168, 52, 196, 82, 226, 51, 195)(26, 170, 54, 198, 83, 227, 50, 194)(34, 178, 64, 208, 92, 236, 65, 209)(36, 180, 63, 207, 93, 237, 67, 211)(37, 181, 62, 206, 96, 240, 69, 213)(39, 183, 70, 214, 80, 224, 56, 200)(41, 185, 60, 204, 94, 238, 71, 215)(44, 188, 76, 220, 104, 248, 75, 219)(46, 190, 78, 222, 105, 249, 74, 218)(53, 197, 85, 229, 113, 257, 86, 230)(55, 199, 84, 228, 114, 258, 88, 232)(57, 201, 89, 233, 103, 247, 81, 225)(66, 210, 99, 243, 121, 265, 98, 242)(68, 212, 100, 244, 124, 268, 97, 241)(72, 216, 102, 246, 122, 266, 95, 239)(77, 221, 107, 251, 128, 272, 108, 252)(79, 223, 106, 250, 129, 273, 110, 254)(87, 231, 116, 260, 134, 278, 115, 259)(90, 234, 112, 256, 126, 270, 118, 262)(91, 235, 111, 255, 127, 271, 117, 261)(101, 245, 123, 267, 138, 282, 125, 269)(109, 253, 131, 275, 141, 285, 130, 274)(119, 263, 136, 280, 139, 283, 133, 277)(120, 264, 135, 279, 140, 284, 132, 276)(137, 281, 142, 286, 144, 288, 143, 287)(289, 433, 291, 435)(290, 434, 296, 440)(292, 436, 302, 446)(293, 437, 305, 449)(294, 438, 300, 444)(295, 439, 308, 452)(297, 441, 314, 458)(298, 442, 312, 456)(299, 443, 318, 462)(301, 445, 311, 455)(303, 447, 325, 469)(304, 448, 324, 468)(306, 450, 329, 473)(307, 451, 322, 466)(309, 453, 334, 478)(310, 454, 332, 476)(313, 457, 331, 475)(315, 459, 343, 487)(316, 460, 341, 485)(317, 461, 345, 489)(319, 463, 350, 494)(320, 464, 348, 492)(321, 465, 338, 482)(323, 467, 339, 483)(326, 470, 356, 500)(327, 471, 354, 498)(328, 472, 333, 477)(330, 474, 360, 504)(335, 479, 367, 511)(336, 480, 365, 509)(337, 481, 369, 513)(340, 484, 362, 506)(342, 486, 363, 507)(344, 488, 375, 519)(346, 490, 379, 523)(347, 491, 378, 522)(349, 493, 377, 521)(351, 495, 385, 529)(352, 496, 383, 527)(353, 497, 372, 516)(355, 499, 373, 517)(357, 501, 366, 510)(358, 502, 389, 533)(359, 503, 364, 508)(361, 505, 391, 535)(368, 512, 397, 541)(370, 514, 400, 544)(371, 515, 399, 543)(374, 518, 394, 538)(376, 520, 395, 539)(380, 524, 408, 552)(381, 525, 407, 551)(382, 526, 405, 549)(384, 528, 406, 550)(386, 530, 411, 555)(387, 531, 403, 547)(388, 532, 398, 542)(390, 534, 396, 540)(392, 536, 415, 559)(393, 537, 414, 558)(401, 545, 421, 565)(402, 546, 420, 564)(404, 548, 418, 562)(409, 553, 425, 569)(410, 554, 423, 567)(412, 556, 424, 568)(413, 557, 419, 563)(416, 560, 428, 572)(417, 561, 427, 571)(422, 566, 430, 574)(426, 570, 431, 575)(429, 573, 432, 576)
	L = (1, 292)(2, 297)(3, 300)(4, 304)(5, 306)(6, 289)(7, 309)(8, 312)(9, 315)(10, 290)(11, 319)(12, 322)(13, 323)(14, 291)(15, 293)(16, 327)(17, 325)(18, 330)(19, 294)(20, 332)(21, 335)(22, 295)(23, 338)(24, 341)(25, 342)(26, 296)(27, 344)(28, 298)(29, 346)(30, 348)(31, 351)(32, 299)(33, 301)(34, 354)(35, 355)(36, 302)(37, 356)(38, 303)(39, 307)(40, 359)(41, 305)(42, 358)(43, 362)(44, 365)(45, 366)(46, 308)(47, 368)(48, 310)(49, 370)(50, 372)(51, 311)(52, 313)(53, 375)(54, 376)(55, 314)(56, 316)(57, 378)(58, 380)(59, 317)(60, 383)(61, 384)(62, 318)(63, 386)(64, 320)(65, 321)(66, 324)(67, 387)(68, 389)(69, 328)(70, 326)(71, 390)(72, 329)(73, 392)(74, 394)(75, 331)(76, 333)(77, 397)(78, 398)(79, 334)(80, 336)(81, 399)(82, 401)(83, 337)(84, 403)(85, 339)(86, 340)(87, 343)(88, 404)(89, 405)(90, 407)(91, 345)(92, 409)(93, 347)(94, 349)(95, 411)(96, 412)(97, 350)(98, 352)(99, 353)(100, 357)(101, 360)(102, 413)(103, 414)(104, 416)(105, 361)(106, 418)(107, 363)(108, 364)(109, 367)(110, 419)(111, 420)(112, 369)(113, 422)(114, 371)(115, 373)(116, 374)(117, 423)(118, 377)(119, 425)(120, 379)(121, 381)(122, 382)(123, 385)(124, 426)(125, 388)(126, 427)(127, 391)(128, 429)(129, 393)(130, 395)(131, 396)(132, 430)(133, 400)(134, 402)(135, 431)(136, 406)(137, 408)(138, 410)(139, 432)(140, 415)(141, 417)(142, 421)(143, 424)(144, 428)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2084
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2088 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = ((C3 x C3) : C4) : C4 (small group id <144, 120>)
Aut   = ((C3 x C3) : C4) : C4 (small group id <144, 120>)
|r| :: 1
Presentation :: [ X2^4, X2^4, X1^4, (X2^-1, X1^-1)^2, X2 * X1^-2 * X2^2 * X1 * X2 * X1^-1, (X2^-1, X1)^2, (X2^-1 * X1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 6, 4)(3, 9, 23, 11)(5, 14, 35, 15)(7, 18, 45, 20)(8, 21, 52, 22)(10, 26, 50, 27)(12, 30, 68, 32)(13, 33, 72, 34)(16, 40, 80, 42)(17, 43, 86, 44)(19, 48, 84, 49)(24, 57, 103, 59)(25, 60, 97, 51)(28, 64, 31, 54)(29, 66, 113, 67)(36, 76, 101, 55)(37, 70, 83, 41)(38, 73, 110, 78)(39, 79, 91, 46)(47, 92, 75, 85)(53, 99, 127, 88)(56, 102, 121, 81)(58, 104, 120, 90)(61, 108, 137, 105)(62, 109, 65, 107)(63, 111, 124, 95)(69, 89, 128, 115)(71, 82, 122, 98)(74, 87, 126, 117)(77, 118, 130, 114)(93, 132, 106, 129)(94, 133, 96, 131)(100, 135, 140, 134)(112, 136, 116, 139)(119, 125, 141, 123)(138, 142, 144, 143)(145, 147, 154, 149)(146, 151, 163, 152)(148, 156, 175, 157)(150, 160, 185, 161)(153, 168, 202, 169)(155, 172, 209, 173)(158, 180, 221, 181)(159, 182, 212, 183)(162, 190, 234, 191)(164, 194, 240, 195)(165, 197, 244, 198)(166, 199, 167, 200)(170, 187, 231, 205)(171, 206, 254, 207)(174, 213, 248, 210)(176, 214, 260, 215)(177, 217, 237, 192)(178, 218, 224, 201)(179, 219, 249, 203)(184, 225, 264, 226)(186, 228, 269, 229)(188, 232, 189, 233)(193, 238, 220, 239)(196, 242, 273, 235)(204, 250, 282, 251)(208, 256, 270, 255)(211, 258, 265, 230)(216, 241, 278, 259)(222, 252, 272, 263)(223, 253, 271, 262)(227, 267, 243, 268)(236, 274, 286, 275)(245, 276, 247, 280)(246, 277, 261, 279)(257, 281, 287, 283)(266, 284, 288, 285)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Dual of E19.2090
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.2089 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = ((C3 x C3) : C4) : C4 (small group id <144, 120>)
Aut   = ((C3 x C3) : C4) : C4 (small group id <144, 120>)
|r| :: 1
Presentation :: [ X1^4, X2^4, X2^-2 * X1^-1 * X2 * X1 * X2 * X1^-2, X2^-1 * X1 * X2^-2 * X1^-2 * X2^-1 * X1^-1, (X2 * X1^-1)^4, X2^-1 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 6, 4)(3, 9, 23, 11)(5, 14, 35, 15)(7, 18, 45, 20)(8, 21, 52, 22)(10, 26, 61, 27)(12, 30, 69, 32)(13, 33, 73, 34)(16, 40, 80, 42)(17, 43, 86, 44)(19, 48, 24, 49)(25, 60, 97, 51)(28, 65, 100, 54)(29, 67, 98, 68)(31, 70, 81, 56)(36, 76, 102, 55)(37, 71, 115, 77)(38, 58, 104, 79)(39, 41, 83, 46)(47, 91, 125, 85)(50, 95, 127, 88)(53, 99, 128, 89)(57, 84, 123, 103)(59, 105, 62, 106)(63, 109, 122, 93)(64, 110, 134, 111)(66, 112, 124, 96)(72, 82, 75, 116)(74, 87, 126, 117)(78, 107, 138, 119)(90, 129, 92, 130)(94, 132, 141, 133)(101, 131, 113, 136)(108, 135, 114, 139)(118, 121, 140, 120)(137, 142, 144, 143)(145, 147, 154, 149)(146, 151, 163, 152)(148, 156, 175, 157)(150, 160, 185, 161)(153, 168, 203, 169)(155, 172, 210, 173)(158, 180, 189, 181)(159, 182, 222, 183)(162, 190, 234, 191)(164, 194, 240, 195)(165, 197, 224, 198)(166, 199, 245, 200)(167, 201, 177, 202)(170, 206, 246, 207)(171, 188, 233, 208)(174, 205, 252, 211)(176, 215, 256, 216)(178, 218, 238, 193)(179, 219, 254, 209)(184, 225, 264, 226)(186, 228, 268, 229)(187, 231, 213, 232)(192, 236, 272, 237)(196, 242, 276, 239)(204, 251, 267, 230)(212, 257, 281, 250)(214, 258, 223, 253)(217, 235, 275, 259)(220, 255, 271, 262)(221, 249, 270, 263)(227, 265, 261, 266)(241, 278, 286, 274)(243, 277, 247, 279)(244, 273, 248, 280)(260, 282, 287, 283)(269, 285, 288, 284)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Dual of E19.2091
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.2090 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = ((C3 x C3) : C4) : C4 (small group id <144, 120>)
Aut   = ((C3 x C3) : C4) : C4 (small group id <144, 120>)
|r| :: 1
Presentation :: [ X2^4, X1^4, X1 * X2^2 * X1^-2 * X2 * X1 * X2^-1, X1^-2 * X2 * X1 * X2^-1 * X1 * X2^-2, (X1^-1, X2)^2, (X2^-1 * X1^-1)^4, (X2^-1 * X1)^4, X2^-2 * X1 * X2 * X1 * X2 * X1^-1 * X2^-2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 145, 2, 146, 6, 150, 4, 148)(3, 147, 9, 153, 23, 167, 11, 155)(5, 149, 14, 158, 35, 179, 15, 159)(7, 151, 18, 162, 45, 189, 20, 164)(8, 152, 21, 165, 52, 196, 22, 166)(10, 154, 26, 170, 62, 206, 27, 171)(12, 156, 30, 174, 68, 212, 32, 176)(13, 157, 33, 177, 72, 216, 34, 178)(16, 160, 40, 184, 80, 224, 42, 186)(17, 161, 43, 187, 85, 229, 44, 188)(19, 163, 48, 192, 29, 173, 49, 193)(24, 168, 59, 203, 91, 235, 61, 205)(25, 169, 41, 185, 82, 226, 51, 195)(28, 172, 66, 210, 100, 244, 54, 198)(31, 175, 70, 214, 84, 228, 47, 191)(36, 180, 76, 220, 90, 234, 55, 199)(37, 181, 71, 215, 116, 260, 77, 221)(38, 182, 73, 217, 104, 248, 57, 201)(39, 183, 79, 223, 93, 237, 46, 190)(50, 194, 97, 241, 127, 271, 87, 231)(53, 197, 99, 243, 120, 264, 88, 232)(56, 200, 102, 246, 121, 265, 81, 225)(58, 202, 105, 249, 69, 213, 89, 233)(60, 204, 107, 251, 65, 209, 108, 252)(63, 207, 95, 239, 129, 273, 112, 256)(64, 208, 103, 247, 137, 281, 110, 254)(67, 211, 114, 258, 133, 277, 106, 250)(74, 218, 83, 227, 124, 268, 117, 261)(75, 219, 86, 230, 126, 270, 115, 259)(78, 222, 98, 242, 134, 278, 118, 262)(92, 236, 130, 274, 96, 240, 131, 275)(94, 238, 123, 267, 119, 263, 132, 276)(101, 245, 125, 269, 141, 285, 135, 279)(109, 253, 136, 280, 140, 284, 122, 266)(111, 255, 138, 282, 113, 257, 128, 272)(139, 283, 142, 286, 144, 288, 143, 287)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 160)(7, 163)(8, 146)(9, 168)(10, 149)(11, 172)(12, 175)(13, 148)(14, 180)(15, 182)(16, 185)(17, 150)(18, 190)(19, 152)(20, 194)(21, 197)(22, 199)(23, 201)(24, 204)(25, 153)(26, 207)(27, 184)(28, 211)(29, 155)(30, 213)(31, 157)(32, 215)(33, 217)(34, 219)(35, 198)(36, 216)(37, 158)(38, 222)(39, 159)(40, 225)(41, 161)(42, 227)(43, 230)(44, 232)(45, 234)(46, 236)(47, 162)(48, 238)(49, 174)(50, 242)(51, 164)(52, 231)(53, 179)(54, 165)(55, 245)(56, 166)(57, 247)(58, 167)(59, 178)(60, 169)(61, 253)(62, 176)(63, 237)(64, 170)(65, 171)(66, 257)(67, 173)(68, 259)(69, 240)(70, 254)(71, 255)(72, 181)(73, 229)(74, 177)(75, 250)(76, 251)(77, 256)(78, 183)(79, 224)(80, 264)(81, 209)(82, 266)(83, 269)(84, 186)(85, 218)(86, 196)(87, 187)(88, 272)(89, 188)(90, 273)(91, 189)(92, 191)(93, 208)(94, 265)(95, 192)(96, 193)(97, 277)(98, 195)(99, 274)(100, 276)(101, 200)(102, 212)(103, 202)(104, 275)(105, 267)(106, 203)(107, 268)(108, 210)(109, 214)(110, 205)(111, 206)(112, 283)(113, 270)(114, 221)(115, 280)(116, 279)(117, 281)(118, 220)(119, 223)(120, 263)(121, 239)(122, 249)(123, 226)(124, 262)(125, 228)(126, 252)(127, 284)(128, 233)(129, 235)(130, 260)(131, 241)(132, 286)(133, 248)(134, 244)(135, 243)(136, 246)(137, 287)(138, 261)(139, 258)(140, 288)(141, 271)(142, 278)(143, 282)(144, 285)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Dual of E19.2088
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.2091 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = ((C3 x C3) : C4) : C4 (small group id <144, 120>)
Aut   = ((C3 x C3) : C4) : C4 (small group id <144, 120>)
|r| :: 1
Presentation :: [ X2^4, X1^4, X1^2 * X2^-2 * X1 * X2 * X1 * X2^-1, X2^-1 * X1^-2 * X2^2 * X1 * X2 * X1, (X2^-1 * X1)^4, X1^-1 * X2 * X1^-2 * X2^-1 * X1^2 * X2^-1 * X1 * X2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 145, 2, 146, 6, 150, 4, 148)(3, 147, 9, 153, 23, 167, 11, 155)(5, 149, 14, 158, 35, 179, 15, 159)(7, 151, 18, 162, 45, 189, 20, 164)(8, 152, 21, 165, 52, 196, 22, 166)(10, 154, 26, 170, 47, 191, 27, 171)(12, 156, 30, 174, 69, 213, 32, 176)(13, 157, 33, 177, 72, 216, 34, 178)(16, 160, 40, 184, 80, 224, 42, 186)(17, 161, 43, 187, 85, 229, 44, 188)(19, 163, 48, 192, 82, 226, 49, 193)(24, 168, 59, 203, 104, 248, 61, 205)(25, 169, 62, 206, 31, 175, 51, 195)(28, 172, 66, 210, 100, 244, 54, 198)(29, 173, 68, 212, 83, 227, 41, 185)(36, 180, 57, 201, 101, 245, 55, 199)(37, 181, 71, 215, 112, 256, 77, 221)(38, 182, 73, 217, 114, 258, 78, 222)(39, 183, 79, 223, 93, 237, 46, 190)(50, 194, 97, 241, 58, 202, 87, 231)(53, 197, 90, 234, 127, 271, 88, 232)(56, 200, 102, 246, 122, 266, 81, 225)(60, 204, 99, 243, 135, 279, 105, 249)(63, 207, 110, 254, 67, 211, 107, 251)(64, 208, 111, 255, 136, 280, 109, 253)(65, 209, 95, 239, 134, 278, 103, 247)(70, 214, 89, 233, 128, 272, 115, 259)(74, 218, 84, 228, 125, 269, 91, 235)(75, 219, 86, 230, 120, 264, 117, 261)(76, 220, 118, 262, 138, 282, 113, 257)(92, 236, 126, 270, 106, 250, 130, 274)(94, 238, 133, 277, 98, 242, 132, 276)(96, 240, 123, 267, 141, 285, 129, 273)(108, 252, 137, 281, 119, 263, 124, 268)(116, 260, 131, 275, 140, 284, 121, 265)(139, 283, 142, 286, 144, 288, 143, 287)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 160)(7, 163)(8, 146)(9, 168)(10, 149)(11, 172)(12, 175)(13, 148)(14, 180)(15, 182)(16, 185)(17, 150)(18, 190)(19, 152)(20, 194)(21, 197)(22, 199)(23, 201)(24, 204)(25, 153)(26, 186)(27, 208)(28, 211)(29, 155)(30, 214)(31, 157)(32, 215)(33, 217)(34, 219)(35, 203)(36, 220)(37, 158)(38, 196)(39, 159)(40, 225)(41, 161)(42, 228)(43, 230)(44, 232)(45, 234)(46, 236)(47, 162)(48, 176)(49, 239)(50, 242)(51, 164)(52, 183)(53, 243)(54, 165)(55, 229)(56, 166)(57, 247)(58, 167)(59, 178)(60, 169)(61, 250)(62, 252)(63, 170)(64, 256)(65, 171)(66, 240)(67, 173)(68, 174)(69, 258)(70, 257)(71, 238)(72, 233)(73, 260)(74, 177)(75, 179)(76, 181)(77, 224)(78, 254)(79, 255)(80, 264)(81, 265)(82, 184)(83, 267)(84, 207)(85, 200)(86, 270)(87, 187)(88, 216)(89, 188)(90, 273)(91, 189)(92, 191)(93, 275)(94, 192)(95, 210)(96, 193)(97, 268)(98, 195)(99, 198)(100, 213)(101, 277)(102, 278)(103, 202)(104, 281)(105, 223)(106, 271)(107, 205)(108, 269)(109, 206)(110, 266)(111, 283)(112, 209)(113, 212)(114, 280)(115, 279)(116, 218)(117, 276)(118, 222)(119, 221)(120, 263)(121, 226)(122, 262)(123, 241)(124, 227)(125, 253)(126, 231)(127, 251)(128, 285)(129, 235)(130, 246)(131, 261)(132, 237)(133, 259)(134, 286)(135, 245)(136, 244)(137, 287)(138, 248)(139, 249)(140, 272)(141, 288)(142, 274)(143, 282)(144, 284)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Dual of E19.2089
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.2092 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = ((C3 x C3) : C4) : C4 (small group id <144, 120>)
Aut   = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
|r| :: 2
Presentation :: [ F^2, T2^4, F * T1 * F * T2, T1^4, T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^-2 * T1 * T2 * T1^-2 * T2^-1 * T1^-1, (T2^-1, T1^-1)^2, (T2 * T1^-1)^4, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, T2^-2 * T1^2 * T2 * T1^-1 * T2^2 * T1 * T2^-1 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 31, 13)(6, 16, 41, 17)(9, 24, 59, 25)(11, 28, 67, 29)(14, 36, 77, 37)(15, 38, 44, 39)(18, 46, 89, 47)(20, 50, 95, 51)(21, 53, 98, 54)(22, 55, 34, 56)(23, 57, 100, 58)(26, 45, 88, 63)(27, 64, 109, 65)(30, 70, 108, 68)(32, 72, 110, 66)(33, 74, 105, 61)(35, 75, 117, 76)(40, 79, 119, 80)(42, 83, 125, 84)(43, 86, 128, 87)(48, 78, 118, 92)(49, 93, 135, 94)(52, 96, 136, 97)(60, 103, 138, 104)(62, 106, 121, 107)(69, 111, 122, 81)(71, 113, 129, 114)(73, 115, 130, 116)(82, 123, 99, 124)(85, 126, 102, 127)(90, 131, 142, 132)(91, 133, 101, 134)(112, 139, 143, 137)(120, 140, 144, 141)(145, 146, 150, 148)(147, 153, 167, 155)(149, 158, 179, 159)(151, 162, 189, 164)(152, 165, 196, 166)(154, 170, 206, 171)(156, 174, 213, 176)(157, 177, 217, 178)(160, 184, 222, 186)(161, 187, 229, 188)(163, 192, 235, 193)(168, 199, 180, 204)(169, 205, 227, 195)(172, 210, 224, 198)(173, 212, 231, 194)(175, 202, 245, 215)(181, 216, 228, 191)(182, 218, 256, 214)(183, 197, 234, 190)(185, 225, 265, 226)(200, 230, 264, 223)(201, 243, 271, 240)(203, 246, 276, 236)(207, 252, 280, 248)(208, 242, 267, 249)(209, 254, 277, 247)(211, 251, 275, 238)(219, 255, 279, 241)(220, 259, 262, 253)(221, 237, 272, 257)(232, 273, 260, 270)(233, 274, 285, 266)(239, 278, 284, 268)(244, 263, 261, 281)(250, 283, 258, 269)(282, 286, 288, 287)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2093
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.2093 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = ((C3 x C3) : C4) : C4 (small group id <144, 120>)
Aut   = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
|r| :: 2
Presentation :: [ F^2, T2^4, T1^4, (F * T2)^2, F * T1 * T2 * F * T1^-1, T1^2 * T2^-2 * T1 * T2 * T1 * T2^-1, T2^-1 * T1^2 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1, (F * T1^-1 * T2 * T1^-1)^2, (T2^-1 * T1)^4, T2 * T1 * F * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * F, T2 * T1^-2 * T2^-1 * T1^2 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147, 10, 154, 5, 149)(2, 146, 7, 151, 19, 163, 8, 152)(4, 148, 12, 156, 31, 175, 13, 157)(6, 150, 16, 160, 41, 185, 17, 161)(9, 153, 24, 168, 60, 204, 25, 169)(11, 155, 28, 172, 67, 211, 29, 173)(14, 158, 36, 180, 76, 220, 37, 181)(15, 159, 38, 182, 52, 196, 39, 183)(18, 162, 46, 190, 92, 236, 47, 191)(20, 164, 50, 194, 98, 242, 51, 195)(21, 165, 53, 197, 99, 243, 54, 198)(22, 166, 55, 199, 85, 229, 56, 200)(23, 167, 57, 201, 103, 247, 58, 202)(26, 170, 42, 186, 84, 228, 63, 207)(27, 171, 64, 208, 112, 256, 65, 209)(30, 174, 70, 214, 113, 257, 68, 212)(32, 176, 71, 215, 94, 238, 48, 192)(33, 177, 73, 217, 116, 260, 74, 218)(34, 178, 75, 219, 35, 179, 59, 203)(40, 184, 81, 225, 121, 265, 82, 226)(43, 187, 86, 230, 126, 270, 87, 231)(44, 188, 88, 232, 72, 216, 89, 233)(45, 189, 90, 234, 129, 273, 91, 235)(49, 193, 95, 239, 66, 210, 96, 240)(61, 205, 106, 250, 127, 271, 107, 251)(62, 206, 108, 252, 125, 269, 109, 253)(69, 213, 114, 258, 136, 280, 100, 244)(77, 221, 80, 224, 120, 264, 119, 263)(78, 222, 110, 254, 122, 266, 118, 262)(79, 223, 111, 255, 139, 283, 105, 249)(83, 227, 123, 267, 97, 241, 124, 268)(93, 237, 131, 275, 117, 261, 132, 276)(101, 245, 133, 277, 115, 259, 135, 279)(102, 246, 134, 278, 142, 286, 130, 274)(104, 248, 137, 281, 143, 287, 138, 282)(128, 272, 141, 285, 144, 288, 140, 284)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 148)(7, 162)(8, 165)(9, 167)(10, 170)(11, 147)(12, 174)(13, 177)(14, 179)(15, 149)(16, 184)(17, 187)(18, 189)(19, 192)(20, 151)(21, 196)(22, 152)(23, 155)(24, 203)(25, 206)(26, 191)(27, 154)(28, 210)(29, 212)(30, 213)(31, 195)(32, 156)(33, 216)(34, 157)(35, 159)(36, 201)(37, 215)(38, 217)(39, 223)(40, 224)(41, 173)(42, 160)(43, 229)(44, 161)(45, 164)(46, 183)(47, 171)(48, 226)(49, 163)(50, 241)(51, 169)(52, 166)(53, 234)(54, 172)(55, 180)(56, 246)(57, 245)(58, 231)(59, 248)(60, 243)(61, 168)(62, 175)(63, 254)(64, 255)(65, 239)(66, 244)(67, 251)(68, 227)(69, 176)(70, 233)(71, 256)(72, 178)(73, 258)(74, 228)(75, 230)(76, 262)(77, 181)(78, 182)(79, 237)(80, 186)(81, 200)(82, 193)(83, 185)(84, 269)(85, 188)(86, 264)(87, 194)(88, 197)(89, 272)(90, 271)(91, 218)(92, 270)(93, 190)(94, 277)(95, 278)(96, 267)(97, 202)(98, 276)(99, 279)(100, 198)(101, 199)(102, 266)(103, 209)(104, 205)(105, 204)(106, 274)(107, 207)(108, 281)(109, 208)(110, 211)(111, 280)(112, 221)(113, 220)(114, 222)(115, 214)(116, 275)(117, 219)(118, 282)(119, 268)(120, 261)(121, 260)(122, 225)(123, 285)(124, 252)(125, 235)(126, 250)(127, 232)(128, 259)(129, 240)(130, 236)(131, 284)(132, 238)(133, 242)(134, 247)(135, 249)(136, 253)(137, 263)(138, 257)(139, 286)(140, 265)(141, 273)(142, 288)(143, 283)(144, 287)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2092
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.2094 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C4) : C4 (small group id <144, 120>)
Aut   = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^-1, Y1^4, (R * Y3)^2, Y3^4, R * Y2 * R * Y1, Y2^4, (Y2 * Y1 * Y3)^2, Y1^2 * Y3 * Y2^-2 * Y3^-1, Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y1^-2 * Y3 * Y2^-2 * Y3^-1, Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, (Y3 * Y1^-1)^4, Y2 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y1 * Y2^-1 * Y3^2 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map:: polyhedral non-degenerate
	R = (1, 145, 4, 148, 17, 161, 7, 151)(2, 146, 9, 153, 32, 176, 11, 155)(3, 147, 5, 149, 21, 165, 15, 159)(6, 150, 24, 168, 71, 215, 25, 169)(8, 152, 29, 173, 53, 197, 20, 164)(10, 154, 36, 180, 92, 236, 37, 181)(12, 156, 42, 186, 101, 245, 44, 188)(13, 157, 14, 158, 48, 192, 46, 190)(16, 160, 18, 162, 58, 202, 54, 198)(19, 163, 60, 204, 105, 249, 61, 205)(22, 166, 67, 211, 117, 261, 52, 196)(23, 167, 68, 212, 121, 265, 57, 201)(26, 170, 75, 219, 131, 275, 76, 220)(27, 171, 28, 172, 79, 223, 78, 222)(30, 174, 81, 225, 137, 281, 82, 226)(31, 175, 33, 177, 86, 230, 74, 218)(34, 178, 65, 209, 128, 272, 88, 232)(35, 179, 89, 233, 106, 250, 85, 229)(38, 182, 95, 239, 73, 217, 96, 240)(39, 183, 40, 184, 99, 243, 98, 242)(41, 185, 63, 207, 64, 208, 47, 191)(43, 187, 104, 248, 126, 270, 66, 210)(45, 189, 107, 251, 143, 287, 109, 253)(49, 193, 94, 238, 124, 268, 62, 206)(50, 194, 51, 195, 115, 259, 114, 258)(55, 199, 56, 200, 113, 257, 122, 266)(59, 203, 83, 227, 84, 228, 120, 264)(69, 213, 129, 273, 130, 274, 132, 276)(70, 214, 72, 216, 110, 254, 90, 234)(77, 221, 123, 267, 133, 277, 134, 278)(80, 224, 112, 256, 108, 252, 127, 271)(87, 231, 118, 262, 116, 260, 125, 269)(91, 235, 93, 237, 102, 246, 111, 255)(97, 241, 139, 283, 140, 284, 135, 279)(100, 244, 142, 286, 144, 288, 141, 285)(103, 247, 119, 263, 138, 282, 136, 280)(289, 290, 296, 293)(291, 300, 329, 302)(292, 294, 311, 306)(295, 314, 334, 316)(297, 298, 323, 321)(299, 326, 366, 328)(301, 333, 360, 312)(303, 319, 313, 339)(304, 340, 404, 341)(305, 307, 325, 344)(308, 350, 386, 352)(309, 310, 354, 353)(315, 365, 381, 324)(317, 318, 368, 348)(320, 322, 370, 372)(327, 385, 426, 369)(330, 331, 391, 367)(332, 393, 402, 373)(335, 383, 377, 378)(336, 337, 400, 399)(338, 401, 411, 392)(342, 358, 349, 407)(343, 408, 427, 409)(345, 412, 374, 375)(346, 347, 414, 384)(351, 388, 418, 355)(356, 357, 387, 363)(359, 361, 420, 422)(362, 379, 376, 417)(364, 416, 410, 415)(371, 413, 430, 394)(380, 382, 398, 423)(389, 390, 429, 425)(395, 396, 406, 403)(397, 405, 419, 424)(421, 428, 432, 431)(433, 435, 445, 438)(434, 439, 459, 442)(436, 448, 461, 451)(437, 452, 495, 454)(440, 443, 471, 462)(441, 463, 453, 466)(444, 447, 482, 475)(446, 479, 542, 481)(449, 487, 500, 458)(450, 489, 557, 491)(455, 457, 506, 501)(456, 502, 490, 505)(460, 480, 534, 474)(464, 515, 521, 470)(465, 517, 547, 519)(467, 469, 493, 522)(468, 523, 518, 526)(472, 511, 568, 507)(473, 476, 538, 532)(477, 478, 508, 540)(483, 503, 565, 539)(484, 486, 535, 498)(485, 550, 544, 494)(488, 524, 572, 555)(492, 559, 545, 546)(496, 531, 564, 527)(497, 558, 552, 554)(499, 561, 560, 563)(504, 541, 570, 567)(509, 510, 528, 536)(512, 514, 520, 543)(513, 551, 537, 533)(516, 569, 576, 571)(525, 566, 562, 573)(529, 530, 556, 553)(548, 549, 575, 574)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2097
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2095 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C4) : C4 (small group id <144, 120>)
Aut   = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y1^4, Y1^-1 * Y2^2 * Y1 * Y2 * Y1^2 * Y2^-1, (Y2^-1 * Y1)^4, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y2^-2 * Y1^2 * Y2^2 * Y1^-2 * Y2^-2 * Y1^-2, Y2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1^-2 * Y2 * Y1^-2, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
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, 290, 294, 292)(291, 297, 311, 299)(293, 302, 323, 303)(295, 306, 333, 308)(296, 309, 340, 310)(298, 314, 350, 315)(300, 318, 357, 320)(301, 321, 361, 322)(304, 328, 366, 330)(305, 331, 373, 332)(307, 336, 379, 337)(312, 343, 324, 348)(313, 349, 371, 339)(316, 354, 368, 342)(317, 356, 375, 338)(319, 346, 389, 359)(325, 360, 372, 335)(326, 362, 400, 358)(327, 341, 378, 334)(329, 369, 409, 370)(344, 374, 408, 367)(345, 387, 415, 384)(347, 390, 420, 380)(351, 396, 424, 392)(352, 386, 411, 393)(353, 398, 421, 391)(355, 395, 419, 382)(363, 399, 423, 385)(364, 403, 406, 397)(365, 381, 416, 401)(376, 417, 404, 414)(377, 418, 429, 410)(383, 422, 428, 412)(388, 407, 405, 425)(394, 427, 402, 413)(426, 430, 432, 431)(433, 435, 442, 437)(434, 439, 451, 440)(436, 444, 463, 445)(438, 448, 473, 449)(441, 456, 491, 457)(443, 460, 499, 461)(446, 468, 509, 469)(447, 470, 476, 471)(450, 478, 521, 479)(452, 482, 527, 483)(453, 485, 530, 486)(454, 487, 466, 488)(455, 489, 532, 490)(458, 477, 520, 495)(459, 496, 541, 497)(462, 502, 540, 500)(464, 504, 542, 498)(465, 506, 537, 493)(467, 507, 549, 508)(472, 511, 551, 512)(474, 515, 557, 516)(475, 518, 560, 519)(480, 510, 550, 524)(481, 525, 567, 526)(484, 528, 568, 529)(492, 535, 570, 536)(494, 538, 553, 539)(501, 543, 554, 513)(503, 545, 561, 546)(505, 547, 562, 548)(514, 555, 531, 556)(517, 558, 534, 559)(522, 563, 574, 564)(523, 565, 533, 566)(544, 571, 575, 569)(552, 572, 576, 573)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2096
Graph:: simple bipartite
	v = 216 e = 288 f = 36
	degree seq :: [ 2^144, 4^72 ]

E19.2096 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C4) : C4 (small group id <144, 120>)
Aut   = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^-1, Y1^4, (R * Y3)^2, Y3^4, R * Y2 * R * Y1, Y2^4, (Y2 * Y1 * Y3)^2, Y1^2 * Y3 * Y2^-2 * Y3^-1, Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y1^-2 * Y3 * Y2^-2 * Y3^-1, Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, (Y3 * Y1^-1)^4, Y2 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y1 * Y2^-1 * Y3^2 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436, 17, 161, 305, 449, 7, 151, 295, 439)(2, 146, 290, 434, 9, 153, 297, 441, 32, 176, 320, 464, 11, 155, 299, 443)(3, 147, 291, 435, 5, 149, 293, 437, 21, 165, 309, 453, 15, 159, 303, 447)(6, 150, 294, 438, 24, 168, 312, 456, 71, 215, 359, 503, 25, 169, 313, 457)(8, 152, 296, 440, 29, 173, 317, 461, 53, 197, 341, 485, 20, 164, 308, 452)(10, 154, 298, 442, 36, 180, 324, 468, 92, 236, 380, 524, 37, 181, 325, 469)(12, 156, 300, 444, 42, 186, 330, 474, 101, 245, 389, 533, 44, 188, 332, 476)(13, 157, 301, 445, 14, 158, 302, 446, 48, 192, 336, 480, 46, 190, 334, 478)(16, 160, 304, 448, 18, 162, 306, 450, 58, 202, 346, 490, 54, 198, 342, 486)(19, 163, 307, 451, 60, 204, 348, 492, 105, 249, 393, 537, 61, 205, 349, 493)(22, 166, 310, 454, 67, 211, 355, 499, 117, 261, 405, 549, 52, 196, 340, 484)(23, 167, 311, 455, 68, 212, 356, 500, 121, 265, 409, 553, 57, 201, 345, 489)(26, 170, 314, 458, 75, 219, 363, 507, 131, 275, 419, 563, 76, 220, 364, 508)(27, 171, 315, 459, 28, 172, 316, 460, 79, 223, 367, 511, 78, 222, 366, 510)(30, 174, 318, 462, 81, 225, 369, 513, 137, 281, 425, 569, 82, 226, 370, 514)(31, 175, 319, 463, 33, 177, 321, 465, 86, 230, 374, 518, 74, 218, 362, 506)(34, 178, 322, 466, 65, 209, 353, 497, 128, 272, 416, 560, 88, 232, 376, 520)(35, 179, 323, 467, 89, 233, 377, 521, 106, 250, 394, 538, 85, 229, 373, 517)(38, 182, 326, 470, 95, 239, 383, 527, 73, 217, 361, 505, 96, 240, 384, 528)(39, 183, 327, 471, 40, 184, 328, 472, 99, 243, 387, 531, 98, 242, 386, 530)(41, 185, 329, 473, 63, 207, 351, 495, 64, 208, 352, 496, 47, 191, 335, 479)(43, 187, 331, 475, 104, 248, 392, 536, 126, 270, 414, 558, 66, 210, 354, 498)(45, 189, 333, 477, 107, 251, 395, 539, 143, 287, 431, 575, 109, 253, 397, 541)(49, 193, 337, 481, 94, 238, 382, 526, 124, 268, 412, 556, 62, 206, 350, 494)(50, 194, 338, 482, 51, 195, 339, 483, 115, 259, 403, 547, 114, 258, 402, 546)(55, 199, 343, 487, 56, 200, 344, 488, 113, 257, 401, 545, 122, 266, 410, 554)(59, 203, 347, 491, 83, 227, 371, 515, 84, 228, 372, 516, 120, 264, 408, 552)(69, 213, 357, 501, 129, 273, 417, 561, 130, 274, 418, 562, 132, 276, 420, 564)(70, 214, 358, 502, 72, 216, 360, 504, 110, 254, 398, 542, 90, 234, 378, 522)(77, 221, 365, 509, 123, 267, 411, 555, 133, 277, 421, 565, 134, 278, 422, 566)(80, 224, 368, 512, 112, 256, 400, 544, 108, 252, 396, 540, 127, 271, 415, 559)(87, 231, 375, 519, 118, 262, 406, 550, 116, 260, 404, 548, 125, 269, 413, 557)(91, 235, 379, 523, 93, 237, 381, 525, 102, 246, 390, 534, 111, 255, 399, 543)(97, 241, 385, 529, 139, 283, 427, 571, 140, 284, 428, 572, 135, 279, 423, 567)(100, 244, 388, 532, 142, 286, 430, 574, 144, 288, 432, 576, 141, 285, 429, 573)(103, 247, 391, 535, 119, 263, 407, 551, 138, 282, 426, 570, 136, 280, 424, 568)
	L = (1, 146)(2, 152)(3, 156)(4, 150)(5, 145)(6, 167)(7, 170)(8, 149)(9, 154)(10, 179)(11, 182)(12, 185)(13, 189)(14, 147)(15, 175)(16, 196)(17, 163)(18, 148)(19, 181)(20, 206)(21, 166)(22, 210)(23, 162)(24, 157)(25, 195)(26, 190)(27, 221)(28, 151)(29, 174)(30, 224)(31, 169)(32, 178)(33, 153)(34, 226)(35, 177)(36, 171)(37, 200)(38, 222)(39, 241)(40, 155)(41, 158)(42, 187)(43, 247)(44, 249)(45, 216)(46, 172)(47, 239)(48, 193)(49, 256)(50, 257)(51, 159)(52, 260)(53, 160)(54, 214)(55, 264)(56, 161)(57, 268)(58, 203)(59, 270)(60, 173)(61, 263)(62, 242)(63, 244)(64, 164)(65, 165)(66, 209)(67, 207)(68, 213)(69, 243)(70, 205)(71, 217)(72, 168)(73, 276)(74, 235)(75, 212)(76, 272)(77, 237)(78, 184)(79, 186)(80, 204)(81, 183)(82, 228)(83, 269)(84, 176)(85, 188)(86, 231)(87, 201)(88, 273)(89, 234)(90, 191)(91, 232)(92, 238)(93, 180)(94, 254)(95, 233)(96, 202)(97, 282)(98, 208)(99, 219)(100, 274)(101, 246)(102, 285)(103, 223)(104, 194)(105, 258)(106, 227)(107, 252)(108, 262)(109, 261)(110, 279)(111, 192)(112, 255)(113, 267)(114, 229)(115, 251)(116, 197)(117, 275)(118, 259)(119, 198)(120, 283)(121, 199)(122, 271)(123, 248)(124, 230)(125, 286)(126, 240)(127, 220)(128, 266)(129, 218)(130, 211)(131, 280)(132, 278)(133, 284)(134, 215)(135, 236)(136, 253)(137, 245)(138, 225)(139, 265)(140, 288)(141, 281)(142, 250)(143, 277)(144, 287)(289, 435)(290, 439)(291, 445)(292, 448)(293, 452)(294, 433)(295, 459)(296, 443)(297, 463)(298, 434)(299, 471)(300, 447)(301, 438)(302, 479)(303, 482)(304, 461)(305, 487)(306, 489)(307, 436)(308, 495)(309, 466)(310, 437)(311, 457)(312, 502)(313, 506)(314, 449)(315, 442)(316, 480)(317, 451)(318, 440)(319, 453)(320, 515)(321, 517)(322, 441)(323, 469)(324, 523)(325, 493)(326, 464)(327, 462)(328, 511)(329, 476)(330, 460)(331, 444)(332, 538)(333, 478)(334, 508)(335, 542)(336, 534)(337, 446)(338, 475)(339, 503)(340, 486)(341, 550)(342, 535)(343, 500)(344, 524)(345, 557)(346, 505)(347, 450)(348, 559)(349, 522)(350, 485)(351, 454)(352, 531)(353, 558)(354, 484)(355, 561)(356, 458)(357, 455)(358, 490)(359, 565)(360, 541)(361, 456)(362, 501)(363, 472)(364, 540)(365, 510)(366, 528)(367, 568)(368, 514)(369, 551)(370, 520)(371, 521)(372, 569)(373, 547)(374, 526)(375, 465)(376, 543)(377, 470)(378, 467)(379, 518)(380, 572)(381, 566)(382, 468)(383, 496)(384, 536)(385, 530)(386, 556)(387, 564)(388, 473)(389, 513)(390, 474)(391, 498)(392, 509)(393, 533)(394, 532)(395, 483)(396, 477)(397, 570)(398, 481)(399, 512)(400, 494)(401, 546)(402, 492)(403, 519)(404, 549)(405, 575)(406, 544)(407, 537)(408, 554)(409, 529)(410, 497)(411, 488)(412, 553)(413, 491)(414, 552)(415, 545)(416, 563)(417, 560)(418, 573)(419, 499)(420, 527)(421, 539)(422, 562)(423, 504)(424, 507)(425, 576)(426, 567)(427, 516)(428, 555)(429, 525)(430, 548)(431, 574)(432, 571)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2095
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 288 f = 216
	degree seq :: [ 16^36 ]

E19.2097 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C4) : C4 (small group id <144, 120>)
Aut   = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y1^4, Y1^-1 * Y2^2 * Y1 * Y2 * Y1^2 * Y2^-1, (Y2^-1 * Y1)^4, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y2^-2 * Y1^2 * Y2^2 * Y1^-2 * Y2^-2 * Y1^-2, Y2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1^-2 * Y2 * Y1^-2, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 145, 289, 433)(2, 146, 290, 434)(3, 147, 291, 435)(4, 148, 292, 436)(5, 149, 293, 437)(6, 150, 294, 438)(7, 151, 295, 439)(8, 152, 296, 440)(9, 153, 297, 441)(10, 154, 298, 442)(11, 155, 299, 443)(12, 156, 300, 444)(13, 157, 301, 445)(14, 158, 302, 446)(15, 159, 303, 447)(16, 160, 304, 448)(17, 161, 305, 449)(18, 162, 306, 450)(19, 163, 307, 451)(20, 164, 308, 452)(21, 165, 309, 453)(22, 166, 310, 454)(23, 167, 311, 455)(24, 168, 312, 456)(25, 169, 313, 457)(26, 170, 314, 458)(27, 171, 315, 459)(28, 172, 316, 460)(29, 173, 317, 461)(30, 174, 318, 462)(31, 175, 319, 463)(32, 176, 320, 464)(33, 177, 321, 465)(34, 178, 322, 466)(35, 179, 323, 467)(36, 180, 324, 468)(37, 181, 325, 469)(38, 182, 326, 470)(39, 183, 327, 471)(40, 184, 328, 472)(41, 185, 329, 473)(42, 186, 330, 474)(43, 187, 331, 475)(44, 188, 332, 476)(45, 189, 333, 477)(46, 190, 334, 478)(47, 191, 335, 479)(48, 192, 336, 480)(49, 193, 337, 481)(50, 194, 338, 482)(51, 195, 339, 483)(52, 196, 340, 484)(53, 197, 341, 485)(54, 198, 342, 486)(55, 199, 343, 487)(56, 200, 344, 488)(57, 201, 345, 489)(58, 202, 346, 490)(59, 203, 347, 491)(60, 204, 348, 492)(61, 205, 349, 493)(62, 206, 350, 494)(63, 207, 351, 495)(64, 208, 352, 496)(65, 209, 353, 497)(66, 210, 354, 498)(67, 211, 355, 499)(68, 212, 356, 500)(69, 213, 357, 501)(70, 214, 358, 502)(71, 215, 359, 503)(72, 216, 360, 504)(73, 217, 361, 505)(74, 218, 362, 506)(75, 219, 363, 507)(76, 220, 364, 508)(77, 221, 365, 509)(78, 222, 366, 510)(79, 223, 367, 511)(80, 224, 368, 512)(81, 225, 369, 513)(82, 226, 370, 514)(83, 227, 371, 515)(84, 228, 372, 516)(85, 229, 373, 517)(86, 230, 374, 518)(87, 231, 375, 519)(88, 232, 376, 520)(89, 233, 377, 521)(90, 234, 378, 522)(91, 235, 379, 523)(92, 236, 380, 524)(93, 237, 381, 525)(94, 238, 382, 526)(95, 239, 383, 527)(96, 240, 384, 528)(97, 241, 385, 529)(98, 242, 386, 530)(99, 243, 387, 531)(100, 244, 388, 532)(101, 245, 389, 533)(102, 246, 390, 534)(103, 247, 391, 535)(104, 248, 392, 536)(105, 249, 393, 537)(106, 250, 394, 538)(107, 251, 395, 539)(108, 252, 396, 540)(109, 253, 397, 541)(110, 254, 398, 542)(111, 255, 399, 543)(112, 256, 400, 544)(113, 257, 401, 545)(114, 258, 402, 546)(115, 259, 403, 547)(116, 260, 404, 548)(117, 261, 405, 549)(118, 262, 406, 550)(119, 263, 407, 551)(120, 264, 408, 552)(121, 265, 409, 553)(122, 266, 410, 554)(123, 267, 411, 555)(124, 268, 412, 556)(125, 269, 413, 557)(126, 270, 414, 558)(127, 271, 415, 559)(128, 272, 416, 560)(129, 273, 417, 561)(130, 274, 418, 562)(131, 275, 419, 563)(132, 276, 420, 564)(133, 277, 421, 565)(134, 278, 422, 566)(135, 279, 423, 567)(136, 280, 424, 568)(137, 281, 425, 569)(138, 282, 426, 570)(139, 283, 427, 571)(140, 284, 428, 572)(141, 285, 429, 573)(142, 286, 430, 574)(143, 287, 431, 575)(144, 288, 432, 576)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 148)(7, 162)(8, 165)(9, 167)(10, 170)(11, 147)(12, 174)(13, 177)(14, 179)(15, 149)(16, 184)(17, 187)(18, 189)(19, 192)(20, 151)(21, 196)(22, 152)(23, 155)(24, 199)(25, 205)(26, 206)(27, 154)(28, 210)(29, 212)(30, 213)(31, 202)(32, 156)(33, 217)(34, 157)(35, 159)(36, 204)(37, 216)(38, 218)(39, 197)(40, 222)(41, 225)(42, 160)(43, 229)(44, 161)(45, 164)(46, 183)(47, 181)(48, 235)(49, 163)(50, 173)(51, 169)(52, 166)(53, 234)(54, 172)(55, 180)(56, 230)(57, 243)(58, 245)(59, 246)(60, 168)(61, 227)(62, 171)(63, 252)(64, 242)(65, 254)(66, 224)(67, 251)(68, 231)(69, 176)(70, 182)(71, 175)(72, 228)(73, 178)(74, 256)(75, 255)(76, 259)(77, 237)(78, 186)(79, 200)(80, 198)(81, 265)(82, 185)(83, 195)(84, 191)(85, 188)(86, 264)(87, 194)(88, 273)(89, 274)(90, 190)(91, 193)(92, 203)(93, 272)(94, 211)(95, 278)(96, 201)(97, 219)(98, 267)(99, 271)(100, 263)(101, 215)(102, 276)(103, 209)(104, 207)(105, 208)(106, 283)(107, 275)(108, 280)(109, 220)(110, 277)(111, 279)(112, 214)(113, 221)(114, 269)(115, 262)(116, 270)(117, 281)(118, 253)(119, 261)(120, 223)(121, 226)(122, 233)(123, 249)(124, 239)(125, 250)(126, 232)(127, 240)(128, 257)(129, 260)(130, 285)(131, 238)(132, 236)(133, 247)(134, 284)(135, 241)(136, 248)(137, 244)(138, 286)(139, 258)(140, 268)(141, 266)(142, 288)(143, 282)(144, 287)(289, 435)(290, 439)(291, 442)(292, 444)(293, 433)(294, 448)(295, 451)(296, 434)(297, 456)(298, 437)(299, 460)(300, 463)(301, 436)(302, 468)(303, 470)(304, 473)(305, 438)(306, 478)(307, 440)(308, 482)(309, 485)(310, 487)(311, 489)(312, 491)(313, 441)(314, 477)(315, 496)(316, 499)(317, 443)(318, 502)(319, 445)(320, 504)(321, 506)(322, 488)(323, 507)(324, 509)(325, 446)(326, 476)(327, 447)(328, 511)(329, 449)(330, 515)(331, 518)(332, 471)(333, 520)(334, 521)(335, 450)(336, 510)(337, 525)(338, 527)(339, 452)(340, 528)(341, 530)(342, 453)(343, 466)(344, 454)(345, 532)(346, 455)(347, 457)(348, 535)(349, 465)(350, 538)(351, 458)(352, 541)(353, 459)(354, 464)(355, 461)(356, 462)(357, 543)(358, 540)(359, 545)(360, 542)(361, 547)(362, 537)(363, 549)(364, 467)(365, 469)(366, 550)(367, 551)(368, 472)(369, 501)(370, 555)(371, 557)(372, 474)(373, 558)(374, 560)(375, 475)(376, 495)(377, 479)(378, 563)(379, 565)(380, 480)(381, 567)(382, 481)(383, 483)(384, 568)(385, 484)(386, 486)(387, 556)(388, 490)(389, 566)(390, 559)(391, 570)(392, 492)(393, 493)(394, 553)(395, 494)(396, 500)(397, 497)(398, 498)(399, 554)(400, 571)(401, 561)(402, 503)(403, 562)(404, 505)(405, 508)(406, 524)(407, 512)(408, 572)(409, 539)(410, 513)(411, 531)(412, 514)(413, 516)(414, 534)(415, 517)(416, 519)(417, 546)(418, 548)(419, 574)(420, 522)(421, 533)(422, 523)(423, 526)(424, 529)(425, 544)(426, 536)(427, 575)(428, 576)(429, 552)(430, 564)(431, 569)(432, 573)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2094
Transitivity :: VT+
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2098 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = C4 x ((C3 x C3) : C4) (small group id <144, 132>)
Aut   = $<288, 879>$ (small group id <288, 879>)
|r| :: 2
Presentation :: [ F^2, T2^4, T1^4, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-2 * T1 * T2^-2, (T1^-1 * T2 * T1^-1 * T2^-1)^2, T2^2 * T1^-2 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 26, 13)(6, 16, 35, 17)(9, 24, 14, 25)(11, 27, 15, 28)(18, 40, 21, 41)(20, 42, 22, 43)(23, 45, 33, 46)(29, 54, 31, 55)(30, 47, 32, 49)(34, 58, 37, 59)(36, 60, 38, 61)(39, 63, 44, 64)(48, 74, 50, 75)(51, 77, 52, 78)(53, 79, 56, 80)(57, 83, 62, 84)(65, 93, 66, 94)(67, 95, 68, 96)(69, 98, 71, 99)(70, 100, 72, 101)(73, 103, 76, 104)(81, 105, 82, 106)(85, 115, 86, 116)(87, 117, 88, 118)(89, 120, 91, 121)(90, 122, 92, 123)(97, 125, 102, 126)(107, 127, 109, 128)(108, 129, 110, 130)(111, 134, 113, 135)(112, 136, 114, 137)(119, 139, 124, 140)(131, 141, 132, 142)(133, 143, 138, 144)(145, 146, 150, 148)(147, 153, 167, 155)(149, 158, 177, 159)(151, 162, 183, 164)(152, 165, 188, 166)(154, 163, 179, 170)(156, 173, 197, 174)(157, 175, 200, 176)(160, 178, 201, 180)(161, 181, 206, 182)(168, 191, 217, 192)(169, 193, 220, 194)(171, 195, 209, 184)(172, 196, 210, 185)(186, 211, 229, 202)(187, 212, 230, 203)(189, 213, 241, 214)(190, 215, 246, 216)(198, 204, 231, 225)(199, 205, 232, 226)(207, 233, 263, 234)(208, 235, 268, 236)(218, 239, 266, 242)(219, 240, 267, 243)(221, 244, 271, 249)(222, 245, 272, 250)(223, 251, 275, 252)(224, 253, 276, 254)(227, 255, 277, 256)(228, 257, 282, 258)(237, 261, 280, 264)(238, 262, 281, 265)(247, 273, 278, 259)(248, 274, 279, 260)(269, 283, 287, 285)(270, 284, 288, 286)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2099
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.2099 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = C4 x ((C3 x C3) : C4) (small group id <144, 132>)
Aut   = $<288, 879>$ (small group id <288, 879>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, T2^4, T1^4, (F * T2)^2, T2 * T1^-2 * T2 * T1 * T2^-2 * T1, T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1, (T2 * T1)^4, (T1 * T2 * T1^-1 * T2)^2, T2^-1 * T1^-2 * T2^-1 * T1^-1 * T2^-2 * T1^-1, (T1^-1 * T2 * T1^-1 * T2^-1)^2, T2^-2 * T1^2 * T2^2 * T1 * T2^-1 * T1^-1 * T2 * T1^-2, T1^-1 * T2^-2 * T1^-1 * T2 * T1 * T2^-1 * T1^-2 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147, 10, 154, 5, 149)(2, 146, 7, 151, 19, 163, 8, 152)(4, 148, 12, 156, 31, 175, 13, 157)(6, 150, 16, 160, 41, 185, 17, 161)(9, 153, 24, 168, 44, 188, 25, 169)(11, 155, 28, 172, 66, 210, 29, 173)(14, 158, 36, 180, 73, 217, 37, 181)(15, 159, 38, 182, 40, 184, 39, 183)(18, 162, 46, 190, 34, 178, 47, 191)(20, 164, 50, 194, 87, 231, 51, 195)(21, 165, 53, 197, 91, 235, 54, 198)(22, 166, 55, 199, 30, 174, 56, 200)(23, 167, 57, 201, 93, 237, 58, 202)(26, 170, 62, 206, 96, 240, 63, 207)(27, 171, 64, 208, 83, 227, 45, 189)(32, 176, 71, 215, 98, 242, 59, 203)(33, 177, 60, 204, 99, 243, 65, 209)(35, 179, 72, 216, 85, 229, 48, 192)(42, 186, 78, 222, 119, 263, 79, 223)(43, 187, 81, 225, 123, 267, 82, 226)(49, 193, 86, 230, 115, 259, 75, 219)(52, 196, 90, 234, 117, 261, 76, 220)(61, 205, 100, 244, 121, 265, 101, 245)(67, 211, 108, 252, 138, 282, 102, 246)(68, 212, 103, 247, 116, 260, 104, 248)(69, 213, 77, 221, 118, 262, 109, 253)(70, 214, 80, 224, 122, 266, 110, 254)(74, 218, 105, 249, 134, 278, 114, 258)(84, 228, 126, 270, 97, 241, 127, 271)(88, 232, 133, 277, 95, 239, 128, 272)(89, 233, 129, 273, 94, 238, 130, 274)(92, 236, 131, 275, 143, 287, 136, 280)(106, 250, 132, 276, 112, 256, 139, 283)(107, 251, 137, 281, 144, 288, 124, 268)(111, 255, 140, 284, 141, 285, 135, 279)(113, 257, 120, 264, 142, 286, 125, 269)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 148)(7, 162)(8, 165)(9, 167)(10, 170)(11, 147)(12, 174)(13, 177)(14, 179)(15, 149)(16, 184)(17, 187)(18, 189)(19, 192)(20, 151)(21, 196)(22, 152)(23, 155)(24, 190)(25, 203)(26, 205)(27, 154)(28, 209)(29, 212)(30, 213)(31, 214)(32, 156)(33, 206)(34, 157)(35, 159)(36, 191)(37, 218)(38, 195)(39, 200)(40, 219)(41, 220)(42, 160)(43, 224)(44, 161)(45, 164)(46, 183)(47, 173)(48, 228)(49, 163)(50, 181)(51, 233)(52, 166)(53, 182)(54, 236)(55, 223)(56, 168)(57, 175)(58, 239)(59, 241)(60, 169)(61, 171)(62, 178)(63, 246)(64, 248)(65, 250)(66, 251)(67, 172)(68, 180)(69, 176)(70, 238)(71, 226)(72, 227)(73, 245)(74, 232)(75, 186)(76, 260)(77, 185)(78, 198)(79, 265)(80, 188)(81, 199)(82, 268)(83, 269)(84, 193)(85, 272)(86, 274)(87, 276)(88, 194)(89, 197)(90, 259)(91, 271)(92, 264)(93, 270)(94, 201)(95, 281)(96, 202)(97, 204)(98, 275)(99, 273)(100, 210)(101, 261)(102, 267)(103, 207)(104, 263)(105, 208)(106, 211)(107, 262)(108, 277)(109, 282)(110, 279)(111, 215)(112, 216)(113, 217)(114, 280)(115, 285)(116, 221)(117, 257)(118, 244)(119, 249)(120, 222)(121, 225)(122, 253)(123, 247)(124, 255)(125, 256)(126, 231)(127, 254)(128, 243)(129, 229)(130, 242)(131, 230)(132, 237)(133, 286)(134, 234)(135, 235)(136, 288)(137, 240)(138, 287)(139, 258)(140, 252)(141, 278)(142, 284)(143, 266)(144, 283)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2098
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.2100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x ((C3 x C3) : C4) (small group id <144, 132>)
Aut   = $<288, 879>$ (small group id <288, 879>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^4, (R * Y3)^2, (R * Y1)^2, Y1^4, Y2^4, Y1 * Y2 * Y1^2 * Y2^-1 * Y1, Y1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^4, Y2^2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 4, 148)(3, 147, 9, 153, 16, 160, 11, 155)(5, 149, 14, 158, 17, 161, 15, 159)(7, 151, 18, 162, 12, 156, 20, 164)(8, 152, 21, 165, 13, 157, 22, 166)(10, 154, 25, 169, 34, 178, 26, 170)(19, 163, 37, 181, 29, 173, 38, 182)(23, 167, 42, 186, 27, 171, 44, 188)(24, 168, 46, 190, 28, 172, 47, 191)(30, 174, 53, 197, 32, 176, 55, 199)(31, 175, 35, 179, 33, 177, 39, 183)(36, 180, 58, 202, 40, 184, 59, 203)(41, 185, 65, 209, 43, 187, 67, 211)(45, 189, 69, 213, 52, 196, 70, 214)(48, 192, 72, 216, 50, 194, 74, 218)(49, 193, 76, 220, 51, 195, 77, 221)(54, 198, 80, 224, 56, 200, 81, 225)(57, 201, 83, 227, 64, 208, 84, 228)(60, 204, 86, 230, 62, 206, 88, 232)(61, 205, 90, 234, 63, 207, 91, 235)(66, 210, 94, 238, 68, 212, 95, 239)(71, 215, 85, 229, 73, 217, 87, 231)(75, 219, 103, 247, 78, 222, 104, 248)(79, 223, 93, 237, 82, 226, 96, 240)(89, 233, 117, 261, 92, 236, 118, 262)(97, 241, 122, 266, 99, 243, 124, 268)(98, 242, 115, 259, 100, 244, 116, 260)(101, 245, 112, 256, 102, 246, 114, 258)(105, 249, 121, 265, 106, 250, 123, 267)(107, 251, 119, 263, 109, 253, 120, 264)(108, 252, 111, 255, 110, 254, 113, 257)(125, 269, 135, 279, 126, 270, 137, 281)(127, 271, 133, 277, 129, 273, 134, 278)(128, 272, 139, 283, 130, 274, 140, 284)(131, 275, 136, 280, 132, 276, 138, 282)(141, 285, 143, 287, 142, 286, 144, 288)(289, 433, 291, 435, 298, 442, 293, 437)(290, 434, 295, 439, 307, 451, 296, 440)(292, 436, 300, 444, 317, 461, 301, 445)(294, 438, 304, 448, 322, 466, 305, 449)(297, 441, 311, 455, 333, 477, 312, 456)(299, 443, 315, 459, 340, 484, 316, 460)(302, 446, 318, 462, 342, 486, 319, 463)(303, 447, 320, 464, 344, 488, 321, 465)(306, 450, 323, 467, 345, 489, 324, 468)(308, 452, 327, 471, 352, 496, 328, 472)(309, 453, 329, 473, 354, 498, 330, 474)(310, 454, 331, 475, 356, 500, 332, 476)(313, 457, 336, 480, 363, 507, 337, 481)(314, 458, 338, 482, 366, 510, 339, 483)(325, 469, 348, 492, 377, 521, 349, 493)(326, 470, 350, 494, 380, 524, 351, 495)(334, 478, 359, 503, 389, 533, 360, 504)(335, 479, 361, 505, 390, 534, 362, 506)(341, 485, 364, 508, 393, 537, 367, 511)(343, 487, 365, 509, 394, 538, 370, 514)(346, 490, 373, 517, 403, 547, 374, 518)(347, 491, 375, 519, 404, 548, 376, 520)(353, 497, 378, 522, 407, 551, 381, 525)(355, 499, 379, 523, 408, 552, 384, 528)(357, 501, 385, 529, 413, 557, 386, 530)(358, 502, 387, 531, 414, 558, 388, 532)(368, 512, 395, 539, 419, 563, 396, 540)(369, 513, 397, 541, 420, 564, 398, 542)(371, 515, 399, 543, 421, 565, 400, 544)(372, 516, 401, 545, 422, 566, 402, 546)(382, 526, 409, 553, 427, 571, 410, 554)(383, 527, 411, 555, 428, 572, 412, 556)(391, 535, 415, 559, 429, 573, 416, 560)(392, 536, 417, 561, 430, 574, 418, 562)(405, 549, 423, 567, 431, 575, 424, 568)(406, 550, 425, 569, 432, 576, 426, 570)
	L = (1, 292)(2, 289)(3, 299)(4, 294)(5, 303)(6, 290)(7, 308)(8, 310)(9, 291)(10, 314)(11, 304)(12, 306)(13, 309)(14, 293)(15, 305)(16, 297)(17, 302)(18, 295)(19, 326)(20, 300)(21, 296)(22, 301)(23, 332)(24, 335)(25, 298)(26, 322)(27, 330)(28, 334)(29, 325)(30, 343)(31, 327)(32, 341)(33, 323)(34, 313)(35, 319)(36, 347)(37, 307)(38, 317)(39, 321)(40, 346)(41, 355)(42, 311)(43, 353)(44, 315)(45, 358)(46, 312)(47, 316)(48, 362)(49, 365)(50, 360)(51, 364)(52, 357)(53, 318)(54, 369)(55, 320)(56, 368)(57, 372)(58, 324)(59, 328)(60, 376)(61, 379)(62, 374)(63, 378)(64, 371)(65, 329)(66, 383)(67, 331)(68, 382)(69, 333)(70, 340)(71, 375)(72, 336)(73, 373)(74, 338)(75, 392)(76, 337)(77, 339)(78, 391)(79, 384)(80, 342)(81, 344)(82, 381)(83, 345)(84, 352)(85, 359)(86, 348)(87, 361)(88, 350)(89, 406)(90, 349)(91, 351)(92, 405)(93, 367)(94, 354)(95, 356)(96, 370)(97, 412)(98, 404)(99, 410)(100, 403)(101, 402)(102, 400)(103, 363)(104, 366)(105, 411)(106, 409)(107, 408)(108, 401)(109, 407)(110, 399)(111, 396)(112, 389)(113, 398)(114, 390)(115, 386)(116, 388)(117, 377)(118, 380)(119, 395)(120, 397)(121, 393)(122, 385)(123, 394)(124, 387)(125, 425)(126, 423)(127, 422)(128, 428)(129, 421)(130, 427)(131, 426)(132, 424)(133, 415)(134, 417)(135, 413)(136, 419)(137, 414)(138, 420)(139, 416)(140, 418)(141, 432)(142, 431)(143, 429)(144, 430)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2101
Graph:: bipartite
	v = 72 e = 288 f = 180
	degree seq :: [ 8^72 ]

E19.2101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x ((C3 x C3) : C4) (small group id <144, 132>)
Aut   = $<288, 879>$ (small group id <288, 879>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^4, (R * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^2 * Y2^-1, (Y3^-1 * Y1^-1)^4, (Y2^-1 * Y3^-1)^4, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 ]
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, 294, 438, 292, 436)(291, 435, 297, 441, 311, 455, 299, 443)(293, 437, 302, 446, 321, 465, 303, 447)(295, 439, 306, 450, 327, 471, 308, 452)(296, 440, 309, 453, 332, 476, 310, 454)(298, 442, 307, 451, 323, 467, 314, 458)(300, 444, 317, 461, 341, 485, 318, 462)(301, 445, 319, 463, 344, 488, 320, 464)(304, 448, 322, 466, 345, 489, 324, 468)(305, 449, 325, 469, 350, 494, 326, 470)(312, 456, 335, 479, 361, 505, 336, 480)(313, 457, 337, 481, 364, 508, 338, 482)(315, 459, 339, 483, 353, 497, 328, 472)(316, 460, 340, 484, 354, 498, 329, 473)(330, 474, 355, 499, 373, 517, 346, 490)(331, 475, 356, 500, 374, 518, 347, 491)(333, 477, 357, 501, 385, 529, 358, 502)(334, 478, 359, 503, 390, 534, 360, 504)(342, 486, 348, 492, 375, 519, 369, 513)(343, 487, 349, 493, 376, 520, 370, 514)(351, 495, 377, 521, 407, 551, 378, 522)(352, 496, 379, 523, 412, 556, 380, 524)(362, 506, 383, 527, 410, 554, 386, 530)(363, 507, 384, 528, 411, 555, 387, 531)(365, 509, 388, 532, 415, 559, 393, 537)(366, 510, 389, 533, 416, 560, 394, 538)(367, 511, 395, 539, 419, 563, 396, 540)(368, 512, 397, 541, 420, 564, 398, 542)(371, 515, 399, 543, 421, 565, 400, 544)(372, 516, 401, 545, 426, 570, 402, 546)(381, 525, 405, 549, 424, 568, 408, 552)(382, 526, 406, 550, 425, 569, 409, 553)(391, 535, 417, 561, 422, 566, 403, 547)(392, 536, 418, 562, 423, 567, 404, 548)(413, 557, 427, 571, 431, 575, 429, 573)(414, 558, 428, 572, 432, 576, 430, 574)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 304)(7, 307)(8, 290)(9, 312)(10, 293)(11, 315)(12, 314)(13, 292)(14, 313)(15, 316)(16, 323)(17, 294)(18, 328)(19, 296)(20, 330)(21, 329)(22, 331)(23, 333)(24, 302)(25, 297)(26, 301)(27, 303)(28, 299)(29, 342)(30, 335)(31, 343)(32, 337)(33, 334)(34, 346)(35, 305)(36, 348)(37, 347)(38, 349)(39, 351)(40, 309)(41, 306)(42, 310)(43, 308)(44, 352)(45, 321)(46, 311)(47, 320)(48, 362)(49, 318)(50, 363)(51, 365)(52, 366)(53, 367)(54, 319)(55, 317)(56, 368)(57, 371)(58, 325)(59, 322)(60, 326)(61, 324)(62, 372)(63, 332)(64, 327)(65, 381)(66, 382)(67, 383)(68, 384)(69, 386)(70, 388)(71, 387)(72, 389)(73, 391)(74, 338)(75, 336)(76, 392)(77, 340)(78, 339)(79, 344)(80, 341)(81, 393)(82, 394)(83, 350)(84, 345)(85, 403)(86, 404)(87, 405)(88, 406)(89, 408)(90, 410)(91, 409)(92, 411)(93, 354)(94, 353)(95, 356)(96, 355)(97, 413)(98, 359)(99, 357)(100, 360)(101, 358)(102, 414)(103, 364)(104, 361)(105, 370)(106, 369)(107, 415)(108, 417)(109, 416)(110, 418)(111, 422)(112, 424)(113, 423)(114, 425)(115, 374)(116, 373)(117, 376)(118, 375)(119, 427)(120, 379)(121, 377)(122, 380)(123, 378)(124, 428)(125, 390)(126, 385)(127, 397)(128, 395)(129, 398)(130, 396)(131, 429)(132, 430)(133, 431)(134, 401)(135, 399)(136, 402)(137, 400)(138, 432)(139, 412)(140, 407)(141, 420)(142, 419)(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) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2100
Graph:: simple bipartite
	v = 180 e = 288 f = 72
	degree seq :: [ 2^144, 8^36 ]

E19.2102 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = (C12 x C3) : C4 (small group id <144, 133>)
Aut   = $<288, 878>$ (small group id <288, 878>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^4, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, (T2 * T1 * T2 * T1^-1)^2, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2^-2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 29, 13)(6, 16, 34, 17)(9, 23, 45, 24)(11, 27, 52, 28)(14, 30, 54, 31)(15, 32, 56, 33)(18, 35, 57, 36)(20, 39, 64, 40)(21, 41, 66, 42)(22, 43, 68, 44)(25, 48, 75, 49)(26, 50, 78, 51)(37, 60, 89, 61)(38, 62, 92, 63)(46, 71, 101, 72)(47, 73, 102, 74)(53, 76, 105, 79)(55, 77, 106, 82)(58, 85, 115, 86)(59, 87, 116, 88)(65, 90, 119, 93)(67, 91, 120, 96)(69, 97, 125, 98)(70, 99, 126, 100)(80, 107, 131, 108)(81, 109, 132, 110)(83, 111, 133, 112)(84, 113, 134, 114)(94, 121, 139, 122)(95, 123, 140, 124)(103, 127, 141, 128)(104, 129, 142, 130)(117, 135, 143, 136)(118, 137, 144, 138)(145, 146, 150, 148)(147, 153, 160, 155)(149, 158, 161, 159)(151, 162, 156, 164)(152, 165, 157, 166)(154, 169, 178, 170)(163, 181, 173, 182)(167, 186, 171, 188)(168, 190, 172, 191)(174, 197, 176, 199)(175, 179, 177, 183)(180, 202, 184, 203)(185, 209, 187, 211)(189, 213, 196, 214)(192, 216, 194, 218)(193, 220, 195, 221)(198, 224, 200, 225)(201, 227, 208, 228)(204, 230, 206, 232)(205, 234, 207, 235)(210, 238, 212, 239)(215, 231, 217, 229)(219, 247, 222, 248)(223, 240, 226, 237)(233, 261, 236, 262)(241, 266, 243, 268)(242, 260, 244, 259)(245, 258, 246, 256)(249, 267, 250, 265)(251, 264, 253, 263)(252, 255, 254, 257)(269, 281, 270, 279)(271, 278, 273, 277)(272, 284, 274, 283)(275, 282, 276, 280)(285, 287, 286, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2103
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.2103 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = (C12 x C3) : C4 (small group id <144, 133>)
Aut   = $<288, 878>$ (small group id <288, 878>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^4, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, (T2 * T1 * T2 * T1^-1)^2, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2^-2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147, 10, 154, 5, 149)(2, 146, 7, 151, 19, 163, 8, 152)(4, 148, 12, 156, 29, 173, 13, 157)(6, 150, 16, 160, 34, 178, 17, 161)(9, 153, 23, 167, 45, 189, 24, 168)(11, 155, 27, 171, 52, 196, 28, 172)(14, 158, 30, 174, 54, 198, 31, 175)(15, 159, 32, 176, 56, 200, 33, 177)(18, 162, 35, 179, 57, 201, 36, 180)(20, 164, 39, 183, 64, 208, 40, 184)(21, 165, 41, 185, 66, 210, 42, 186)(22, 166, 43, 187, 68, 212, 44, 188)(25, 169, 48, 192, 75, 219, 49, 193)(26, 170, 50, 194, 78, 222, 51, 195)(37, 181, 60, 204, 89, 233, 61, 205)(38, 182, 62, 206, 92, 236, 63, 207)(46, 190, 71, 215, 101, 245, 72, 216)(47, 191, 73, 217, 102, 246, 74, 218)(53, 197, 76, 220, 105, 249, 79, 223)(55, 199, 77, 221, 106, 250, 82, 226)(58, 202, 85, 229, 115, 259, 86, 230)(59, 203, 87, 231, 116, 260, 88, 232)(65, 209, 90, 234, 119, 263, 93, 237)(67, 211, 91, 235, 120, 264, 96, 240)(69, 213, 97, 241, 125, 269, 98, 242)(70, 214, 99, 243, 126, 270, 100, 244)(80, 224, 107, 251, 131, 275, 108, 252)(81, 225, 109, 253, 132, 276, 110, 254)(83, 227, 111, 255, 133, 277, 112, 256)(84, 228, 113, 257, 134, 278, 114, 258)(94, 238, 121, 265, 139, 283, 122, 266)(95, 239, 123, 267, 140, 284, 124, 268)(103, 247, 127, 271, 141, 285, 128, 272)(104, 248, 129, 273, 142, 286, 130, 274)(117, 261, 135, 279, 143, 287, 136, 280)(118, 262, 137, 281, 144, 288, 138, 282)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 148)(7, 162)(8, 165)(9, 160)(10, 169)(11, 147)(12, 164)(13, 166)(14, 161)(15, 149)(16, 155)(17, 159)(18, 156)(19, 181)(20, 151)(21, 157)(22, 152)(23, 186)(24, 190)(25, 178)(26, 154)(27, 188)(28, 191)(29, 182)(30, 197)(31, 179)(32, 199)(33, 183)(34, 170)(35, 177)(36, 202)(37, 173)(38, 163)(39, 175)(40, 203)(41, 209)(42, 171)(43, 211)(44, 167)(45, 213)(46, 172)(47, 168)(48, 216)(49, 220)(50, 218)(51, 221)(52, 214)(53, 176)(54, 224)(55, 174)(56, 225)(57, 227)(58, 184)(59, 180)(60, 230)(61, 234)(62, 232)(63, 235)(64, 228)(65, 187)(66, 238)(67, 185)(68, 239)(69, 196)(70, 189)(71, 231)(72, 194)(73, 229)(74, 192)(75, 247)(76, 195)(77, 193)(78, 248)(79, 240)(80, 200)(81, 198)(82, 237)(83, 208)(84, 201)(85, 215)(86, 206)(87, 217)(88, 204)(89, 261)(90, 207)(91, 205)(92, 262)(93, 223)(94, 212)(95, 210)(96, 226)(97, 266)(98, 260)(99, 268)(100, 259)(101, 258)(102, 256)(103, 222)(104, 219)(105, 267)(106, 265)(107, 264)(108, 255)(109, 263)(110, 257)(111, 254)(112, 245)(113, 252)(114, 246)(115, 242)(116, 244)(117, 236)(118, 233)(119, 251)(120, 253)(121, 249)(122, 243)(123, 250)(124, 241)(125, 281)(126, 279)(127, 278)(128, 284)(129, 277)(130, 283)(131, 282)(132, 280)(133, 271)(134, 273)(135, 269)(136, 275)(137, 270)(138, 276)(139, 272)(140, 274)(141, 287)(142, 288)(143, 286)(144, 285)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2102
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.2104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = (C12 x C3) : C4 (small group id <144, 133>)
Aut   = $<288, 878>$ (small group id <288, 878>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^4, Y2^4, (R * Y1)^2, Y1^2 * Y3^-2, (R * Y3)^2, Y2 * Y1^-1 * Y2^2 * Y1 * Y2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y3^-1 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 4, 148)(3, 147, 9, 153, 23, 167, 11, 155)(5, 149, 14, 158, 33, 177, 15, 159)(7, 151, 18, 162, 39, 183, 20, 164)(8, 152, 21, 165, 44, 188, 22, 166)(10, 154, 19, 163, 35, 179, 26, 170)(12, 156, 29, 173, 53, 197, 30, 174)(13, 157, 31, 175, 56, 200, 32, 176)(16, 160, 34, 178, 57, 201, 36, 180)(17, 161, 37, 181, 62, 206, 38, 182)(24, 168, 47, 191, 73, 217, 48, 192)(25, 169, 49, 193, 76, 220, 50, 194)(27, 171, 51, 195, 65, 209, 40, 184)(28, 172, 52, 196, 66, 210, 41, 185)(42, 186, 67, 211, 85, 229, 58, 202)(43, 187, 68, 212, 86, 230, 59, 203)(45, 189, 69, 213, 97, 241, 70, 214)(46, 190, 71, 215, 102, 246, 72, 216)(54, 198, 60, 204, 87, 231, 81, 225)(55, 199, 61, 205, 88, 232, 82, 226)(63, 207, 89, 233, 119, 263, 90, 234)(64, 208, 91, 235, 124, 268, 92, 236)(74, 218, 96, 240, 123, 267, 98, 242)(75, 219, 95, 239, 122, 266, 99, 243)(77, 221, 100, 244, 127, 271, 105, 249)(78, 222, 101, 245, 128, 272, 106, 250)(79, 223, 107, 251, 131, 275, 108, 252)(80, 224, 109, 253, 132, 276, 110, 254)(83, 227, 111, 255, 133, 277, 112, 256)(84, 228, 113, 257, 138, 282, 114, 258)(93, 237, 118, 262, 137, 281, 120, 264)(94, 238, 117, 261, 136, 280, 121, 265)(103, 247, 129, 273, 135, 279, 116, 260)(104, 248, 130, 274, 134, 278, 115, 259)(125, 269, 140, 284, 143, 287, 141, 285)(126, 270, 139, 283, 144, 288, 142, 286)(289, 433, 291, 435, 298, 442, 293, 437)(290, 434, 295, 439, 307, 451, 296, 440)(292, 436, 300, 444, 314, 458, 301, 445)(294, 438, 304, 448, 323, 467, 305, 449)(297, 441, 312, 456, 302, 446, 313, 457)(299, 443, 315, 459, 303, 447, 316, 460)(306, 450, 328, 472, 309, 453, 329, 473)(308, 452, 330, 474, 310, 454, 331, 475)(311, 455, 333, 477, 321, 465, 334, 478)(317, 461, 342, 486, 319, 463, 343, 487)(318, 462, 335, 479, 320, 464, 337, 481)(322, 466, 346, 490, 325, 469, 347, 491)(324, 468, 348, 492, 326, 470, 349, 493)(327, 471, 351, 495, 332, 476, 352, 496)(336, 480, 362, 506, 338, 482, 363, 507)(339, 483, 365, 509, 340, 484, 366, 510)(341, 485, 367, 511, 344, 488, 368, 512)(345, 489, 371, 515, 350, 494, 372, 516)(353, 497, 381, 525, 354, 498, 382, 526)(355, 499, 383, 527, 356, 500, 384, 528)(357, 501, 386, 530, 359, 503, 387, 531)(358, 502, 388, 532, 360, 504, 389, 533)(361, 505, 391, 535, 364, 508, 392, 536)(369, 513, 394, 538, 370, 514, 393, 537)(373, 517, 403, 547, 374, 518, 404, 548)(375, 519, 405, 549, 376, 520, 406, 550)(377, 521, 408, 552, 379, 523, 409, 553)(378, 522, 410, 554, 380, 524, 411, 555)(385, 529, 413, 557, 390, 534, 414, 558)(395, 539, 416, 560, 397, 541, 415, 559)(396, 540, 417, 561, 398, 542, 418, 562)(399, 543, 422, 566, 401, 545, 423, 567)(400, 544, 424, 568, 402, 546, 425, 569)(407, 551, 427, 571, 412, 556, 428, 572)(419, 563, 430, 574, 420, 564, 429, 573)(421, 565, 431, 575, 426, 570, 432, 576)
	L = (1, 292)(2, 289)(3, 299)(4, 294)(5, 303)(6, 290)(7, 308)(8, 310)(9, 291)(10, 314)(11, 311)(12, 318)(13, 320)(14, 293)(15, 321)(16, 324)(17, 326)(18, 295)(19, 298)(20, 327)(21, 296)(22, 332)(23, 297)(24, 336)(25, 338)(26, 323)(27, 328)(28, 329)(29, 300)(30, 341)(31, 301)(32, 344)(33, 302)(34, 304)(35, 307)(36, 345)(37, 305)(38, 350)(39, 306)(40, 353)(41, 354)(42, 346)(43, 347)(44, 309)(45, 358)(46, 360)(47, 312)(48, 361)(49, 313)(50, 364)(51, 315)(52, 316)(53, 317)(54, 369)(55, 370)(56, 319)(57, 322)(58, 373)(59, 374)(60, 342)(61, 343)(62, 325)(63, 378)(64, 380)(65, 339)(66, 340)(67, 330)(68, 331)(69, 333)(70, 385)(71, 334)(72, 390)(73, 335)(74, 386)(75, 387)(76, 337)(77, 393)(78, 394)(79, 396)(80, 398)(81, 375)(82, 376)(83, 400)(84, 402)(85, 355)(86, 356)(87, 348)(88, 349)(89, 351)(90, 407)(91, 352)(92, 412)(93, 408)(94, 409)(95, 363)(96, 362)(97, 357)(98, 411)(99, 410)(100, 365)(101, 366)(102, 359)(103, 404)(104, 403)(105, 415)(106, 416)(107, 367)(108, 419)(109, 368)(110, 420)(111, 371)(112, 421)(113, 372)(114, 426)(115, 422)(116, 423)(117, 382)(118, 381)(119, 377)(120, 425)(121, 424)(122, 383)(123, 384)(124, 379)(125, 429)(126, 430)(127, 388)(128, 389)(129, 391)(130, 392)(131, 395)(132, 397)(133, 399)(134, 418)(135, 417)(136, 405)(137, 406)(138, 401)(139, 414)(140, 413)(141, 431)(142, 432)(143, 428)(144, 427)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2105
Graph:: bipartite
	v = 72 e = 288 f = 180
	degree seq :: [ 8^72 ]

E19.2105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = (C12 x C3) : C4 (small group id <144, 133>)
Aut   = $<288, 878>$ (small group id <288, 878>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^4, (R * Y3^-1)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, (Y2^-1 * Y3^-1 * Y2^-1 * Y3)^2, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^4, Y2^-1 * Y3 * Y2^-2 * Y3^2 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 ]
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, 294, 438, 292, 436)(291, 435, 297, 441, 311, 455, 299, 443)(293, 437, 302, 446, 321, 465, 303, 447)(295, 439, 306, 450, 327, 471, 308, 452)(296, 440, 309, 453, 332, 476, 310, 454)(298, 442, 307, 451, 323, 467, 314, 458)(300, 444, 317, 461, 341, 485, 318, 462)(301, 445, 319, 463, 344, 488, 320, 464)(304, 448, 322, 466, 345, 489, 324, 468)(305, 449, 325, 469, 350, 494, 326, 470)(312, 456, 335, 479, 361, 505, 336, 480)(313, 457, 337, 481, 364, 508, 338, 482)(315, 459, 339, 483, 353, 497, 328, 472)(316, 460, 340, 484, 354, 498, 329, 473)(330, 474, 355, 499, 373, 517, 346, 490)(331, 475, 356, 500, 374, 518, 347, 491)(333, 477, 357, 501, 385, 529, 358, 502)(334, 478, 359, 503, 390, 534, 360, 504)(342, 486, 348, 492, 375, 519, 369, 513)(343, 487, 349, 493, 376, 520, 370, 514)(351, 495, 377, 521, 407, 551, 378, 522)(352, 496, 379, 523, 412, 556, 380, 524)(362, 506, 384, 528, 411, 555, 386, 530)(363, 507, 383, 527, 410, 554, 387, 531)(365, 509, 388, 532, 415, 559, 393, 537)(366, 510, 389, 533, 416, 560, 394, 538)(367, 511, 395, 539, 419, 563, 396, 540)(368, 512, 397, 541, 420, 564, 398, 542)(371, 515, 399, 543, 421, 565, 400, 544)(372, 516, 401, 545, 426, 570, 402, 546)(381, 525, 406, 550, 425, 569, 408, 552)(382, 526, 405, 549, 424, 568, 409, 553)(391, 535, 417, 561, 423, 567, 404, 548)(392, 536, 418, 562, 422, 566, 403, 547)(413, 557, 428, 572, 431, 575, 429, 573)(414, 558, 427, 571, 432, 576, 430, 574)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 304)(7, 307)(8, 290)(9, 312)(10, 293)(11, 315)(12, 314)(13, 292)(14, 313)(15, 316)(16, 323)(17, 294)(18, 328)(19, 296)(20, 330)(21, 329)(22, 331)(23, 333)(24, 302)(25, 297)(26, 301)(27, 303)(28, 299)(29, 342)(30, 335)(31, 343)(32, 337)(33, 334)(34, 346)(35, 305)(36, 348)(37, 347)(38, 349)(39, 351)(40, 309)(41, 306)(42, 310)(43, 308)(44, 352)(45, 321)(46, 311)(47, 320)(48, 362)(49, 318)(50, 363)(51, 365)(52, 366)(53, 367)(54, 319)(55, 317)(56, 368)(57, 371)(58, 325)(59, 322)(60, 326)(61, 324)(62, 372)(63, 332)(64, 327)(65, 381)(66, 382)(67, 383)(68, 384)(69, 386)(70, 388)(71, 387)(72, 389)(73, 391)(74, 338)(75, 336)(76, 392)(77, 340)(78, 339)(79, 344)(80, 341)(81, 394)(82, 393)(83, 350)(84, 345)(85, 403)(86, 404)(87, 405)(88, 406)(89, 408)(90, 410)(91, 409)(92, 411)(93, 354)(94, 353)(95, 356)(96, 355)(97, 413)(98, 359)(99, 357)(100, 360)(101, 358)(102, 414)(103, 364)(104, 361)(105, 369)(106, 370)(107, 416)(108, 417)(109, 415)(110, 418)(111, 422)(112, 424)(113, 423)(114, 425)(115, 374)(116, 373)(117, 376)(118, 375)(119, 427)(120, 379)(121, 377)(122, 380)(123, 378)(124, 428)(125, 390)(126, 385)(127, 395)(128, 397)(129, 398)(130, 396)(131, 430)(132, 429)(133, 431)(134, 401)(135, 399)(136, 402)(137, 400)(138, 432)(139, 412)(140, 407)(141, 419)(142, 420)(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) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2104
Graph:: simple bipartite
	v = 180 e = 288 f = 72
	degree seq :: [ 2^144, 8^36 ]

E19.2106 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = S3 x SL(2,3) (small group id <144, 128>)
Aut   = $<288, 851>$ (small group id <288, 851>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1, T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 22, 12)(8, 20, 13, 21)(10, 23, 14, 24)(15, 29, 18, 30)(17, 31, 19, 32)(25, 41, 27, 42)(26, 43, 28, 44)(33, 53, 35, 54)(34, 55, 36, 56)(37, 57, 39, 58)(38, 59, 40, 60)(45, 69, 47, 70)(46, 71, 48, 72)(49, 73, 51, 74)(50, 75, 52, 76)(61, 91, 63, 92)(62, 93, 64, 94)(65, 95, 67, 96)(66, 79, 68, 77)(78, 107, 80, 108)(81, 109, 83, 110)(82, 111, 84, 112)(85, 113, 87, 114)(86, 115, 88, 116)(89, 117, 90, 118)(97, 127, 99, 128)(98, 129, 100, 130)(101, 131, 103, 132)(102, 133, 104, 134)(105, 135, 106, 136)(119, 137, 121, 138)(120, 142, 122, 144)(123, 143, 125, 141)(124, 139, 126, 140)(145, 146, 148)(147, 152, 154)(149, 157, 158)(150, 159, 161)(151, 162, 163)(153, 160, 166)(155, 169, 170)(156, 171, 172)(164, 177, 178)(165, 179, 180)(167, 181, 182)(168, 183, 184)(173, 189, 190)(174, 191, 192)(175, 193, 194)(176, 195, 196)(185, 205, 206)(186, 207, 208)(187, 209, 210)(188, 211, 212)(197, 221, 222)(198, 223, 224)(199, 225, 226)(200, 227, 228)(201, 229, 230)(202, 231, 232)(203, 233, 214)(204, 234, 213)(215, 241, 242)(216, 243, 244)(217, 245, 246)(218, 247, 248)(219, 249, 236)(220, 250, 235)(237, 263, 264)(238, 265, 266)(239, 267, 268)(240, 269, 270)(251, 275, 274)(252, 276, 273)(253, 271, 281)(254, 272, 282)(255, 279, 258)(256, 280, 257)(259, 277, 283)(260, 278, 284)(261, 285, 286)(262, 287, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12^3 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2110
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 144 f = 24
	degree seq :: [ 3^48, 4^36 ]

E19.2107 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = S3 x SL(2,3) (small group id <144, 128>)
Aut   = $<288, 851>$ (small group id <288, 851>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2^6, T2^2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 16, 5)(2, 7, 20, 40, 24, 8)(4, 12, 30, 55, 31, 13)(6, 17, 36, 62, 37, 18)(9, 22, 43, 72, 49, 25)(11, 23, 44, 74, 54, 29)(14, 32, 57, 70, 42, 21)(15, 33, 59, 65, 38, 19)(26, 47, 77, 110, 83, 50)(28, 48, 78, 112, 86, 53)(34, 60, 91, 122, 90, 58)(35, 61, 92, 121, 87, 56)(39, 63, 93, 124, 99, 66)(41, 64, 94, 126, 102, 69)(45, 75, 107, 136, 106, 73)(46, 76, 108, 135, 103, 71)(51, 81, 115, 139, 117, 84)(52, 82, 116, 140, 118, 85)(67, 97, 129, 143, 131, 100)(68, 98, 130, 144, 132, 101)(79, 113, 89, 120, 138, 111)(80, 114, 88, 119, 137, 109)(95, 127, 105, 134, 142, 125)(96, 128, 104, 133, 141, 123)(145, 146, 150, 148)(147, 153, 161, 155)(149, 158, 162, 159)(151, 163, 156, 165)(152, 166, 157, 167)(154, 170, 180, 172)(160, 178, 181, 179)(164, 183, 174, 185)(168, 189, 175, 190)(169, 191, 173, 192)(171, 195, 206, 196)(176, 200, 177, 202)(182, 207, 186, 208)(184, 211, 199, 212)(187, 215, 188, 217)(193, 223, 198, 224)(194, 225, 197, 226)(201, 232, 203, 233)(204, 229, 205, 228)(209, 239, 214, 240)(210, 241, 213, 242)(216, 248, 218, 249)(219, 245, 220, 244)(221, 253, 222, 255)(227, 246, 230, 243)(231, 263, 234, 264)(235, 252, 236, 251)(237, 267, 238, 269)(247, 277, 250, 278)(254, 273, 256, 274)(257, 271, 258, 272)(259, 268, 260, 270)(261, 280, 262, 279)(265, 276, 266, 275)(281, 287, 282, 288)(283, 285, 284, 286)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6^4 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2111
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 144 f = 48
	degree seq :: [ 4^36, 6^24 ]

E19.2108 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = S3 x SL(2,3) (small group id <144, 128>)
Aut   = $<288, 851>$ (small group id <288, 851>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^6, T1^-2 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1, T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^4, (T2^-1 * T1^2 * T2^-1 * T1^-1)^2, T1^-4 * T2^-1 * T1 * T2 * T1^2 * T2 * T1^-1, T2 * T1^-3 * T2 * T1^-1 * T2 * T1^2 * T2^-1 * T1^-2, T1^-2 * T2^-1 * T1^2 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 26, 28)(12, 31, 32)(14, 36, 37)(15, 38, 40)(16, 41, 42)(19, 46, 34)(20, 47, 49)(21, 39, 51)(22, 52, 54)(23, 30, 56)(27, 61, 62)(29, 57, 65)(33, 58, 71)(35, 60, 73)(43, 78, 80)(44, 53, 82)(45, 67, 84)(48, 87, 88)(50, 86, 91)(55, 93, 94)(59, 74, 99)(63, 75, 104)(64, 68, 106)(66, 108, 109)(69, 107, 113)(70, 96, 101)(72, 114, 85)(76, 117, 110)(77, 83, 120)(79, 123, 124)(81, 122, 127)(89, 92, 133)(90, 134, 121)(95, 97, 137)(98, 102, 119)(100, 126, 139)(103, 138, 140)(105, 132, 141)(111, 135, 136)(112, 129, 131)(115, 116, 118)(125, 128, 143)(130, 142, 144)(145, 146, 150, 160, 156, 148)(147, 153, 167, 199, 171, 154)(149, 158, 179, 216, 183, 159)(151, 163, 172, 207, 192, 164)(152, 165, 194, 234, 197, 166)(155, 173, 208, 249, 210, 174)(157, 177, 214, 218, 180, 178)(161, 182, 193, 233, 223, 187)(162, 188, 225, 270, 227, 189)(168, 190, 184, 198, 228, 201)(169, 176, 213, 256, 241, 202)(170, 203, 242, 261, 244, 204)(175, 211, 254, 284, 255, 212)(181, 206, 247, 264, 260, 219)(185, 196, 224, 269, 262, 220)(186, 221, 263, 286, 251, 209)(191, 229, 273, 250, 274, 230)(195, 232, 276, 257, 280, 236)(200, 239, 266, 222, 265, 240)(205, 245, 267, 235, 279, 246)(215, 253, 272, 226, 268, 237)(217, 259, 271, 252, 275, 231)(238, 278, 277, 288, 282, 243)(248, 283, 287, 281, 285, 258)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^3 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2109
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 3^48, 6^24 ]

E19.2109 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = S3 x SL(2,3) (small group id <144, 128>)
Aut   = $<288, 851>$ (small group id <288, 851>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1, T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147, 9, 153, 5, 149)(2, 146, 6, 150, 16, 160, 7, 151)(4, 148, 11, 155, 22, 166, 12, 156)(8, 152, 20, 164, 13, 157, 21, 165)(10, 154, 23, 167, 14, 158, 24, 168)(15, 159, 29, 173, 18, 162, 30, 174)(17, 161, 31, 175, 19, 163, 32, 176)(25, 169, 41, 185, 27, 171, 42, 186)(26, 170, 43, 187, 28, 172, 44, 188)(33, 177, 53, 197, 35, 179, 54, 198)(34, 178, 55, 199, 36, 180, 56, 200)(37, 181, 57, 201, 39, 183, 58, 202)(38, 182, 59, 203, 40, 184, 60, 204)(45, 189, 69, 213, 47, 191, 70, 214)(46, 190, 71, 215, 48, 192, 72, 216)(49, 193, 73, 217, 51, 195, 74, 218)(50, 194, 75, 219, 52, 196, 76, 220)(61, 205, 91, 235, 63, 207, 92, 236)(62, 206, 93, 237, 64, 208, 94, 238)(65, 209, 95, 239, 67, 211, 96, 240)(66, 210, 79, 223, 68, 212, 77, 221)(78, 222, 107, 251, 80, 224, 108, 252)(81, 225, 109, 253, 83, 227, 110, 254)(82, 226, 111, 255, 84, 228, 112, 256)(85, 229, 113, 257, 87, 231, 114, 258)(86, 230, 115, 259, 88, 232, 116, 260)(89, 233, 117, 261, 90, 234, 118, 262)(97, 241, 127, 271, 99, 243, 128, 272)(98, 242, 129, 273, 100, 244, 130, 274)(101, 245, 131, 275, 103, 247, 132, 276)(102, 246, 133, 277, 104, 248, 134, 278)(105, 249, 135, 279, 106, 250, 136, 280)(119, 263, 137, 281, 121, 265, 138, 282)(120, 264, 142, 286, 122, 266, 144, 288)(123, 267, 143, 287, 125, 269, 141, 285)(124, 268, 139, 283, 126, 270, 140, 284)
	L = (1, 146)(2, 148)(3, 152)(4, 145)(5, 157)(6, 159)(7, 162)(8, 154)(9, 160)(10, 147)(11, 169)(12, 171)(13, 158)(14, 149)(15, 161)(16, 166)(17, 150)(18, 163)(19, 151)(20, 177)(21, 179)(22, 153)(23, 181)(24, 183)(25, 170)(26, 155)(27, 172)(28, 156)(29, 189)(30, 191)(31, 193)(32, 195)(33, 178)(34, 164)(35, 180)(36, 165)(37, 182)(38, 167)(39, 184)(40, 168)(41, 205)(42, 207)(43, 209)(44, 211)(45, 190)(46, 173)(47, 192)(48, 174)(49, 194)(50, 175)(51, 196)(52, 176)(53, 221)(54, 223)(55, 225)(56, 227)(57, 229)(58, 231)(59, 233)(60, 234)(61, 206)(62, 185)(63, 208)(64, 186)(65, 210)(66, 187)(67, 212)(68, 188)(69, 204)(70, 203)(71, 241)(72, 243)(73, 245)(74, 247)(75, 249)(76, 250)(77, 222)(78, 197)(79, 224)(80, 198)(81, 226)(82, 199)(83, 228)(84, 200)(85, 230)(86, 201)(87, 232)(88, 202)(89, 214)(90, 213)(91, 220)(92, 219)(93, 263)(94, 265)(95, 267)(96, 269)(97, 242)(98, 215)(99, 244)(100, 216)(101, 246)(102, 217)(103, 248)(104, 218)(105, 236)(106, 235)(107, 275)(108, 276)(109, 271)(110, 272)(111, 279)(112, 280)(113, 256)(114, 255)(115, 277)(116, 278)(117, 285)(118, 287)(119, 264)(120, 237)(121, 266)(122, 238)(123, 268)(124, 239)(125, 270)(126, 240)(127, 281)(128, 282)(129, 252)(130, 251)(131, 274)(132, 273)(133, 283)(134, 284)(135, 258)(136, 257)(137, 253)(138, 254)(139, 259)(140, 260)(141, 286)(142, 261)(143, 288)(144, 262)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2108
Transitivity :: ET+ VT+ AT
Graph::
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.2110 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = S3 x SL(2,3) (small group id <144, 128>)
Aut   = $<288, 851>$ (small group id <288, 851>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2^6, T2^2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147, 10, 154, 27, 171, 16, 160, 5, 149)(2, 146, 7, 151, 20, 164, 40, 184, 24, 168, 8, 152)(4, 148, 12, 156, 30, 174, 55, 199, 31, 175, 13, 157)(6, 150, 17, 161, 36, 180, 62, 206, 37, 181, 18, 162)(9, 153, 22, 166, 43, 187, 72, 216, 49, 193, 25, 169)(11, 155, 23, 167, 44, 188, 74, 218, 54, 198, 29, 173)(14, 158, 32, 176, 57, 201, 70, 214, 42, 186, 21, 165)(15, 159, 33, 177, 59, 203, 65, 209, 38, 182, 19, 163)(26, 170, 47, 191, 77, 221, 110, 254, 83, 227, 50, 194)(28, 172, 48, 192, 78, 222, 112, 256, 86, 230, 53, 197)(34, 178, 60, 204, 91, 235, 122, 266, 90, 234, 58, 202)(35, 179, 61, 205, 92, 236, 121, 265, 87, 231, 56, 200)(39, 183, 63, 207, 93, 237, 124, 268, 99, 243, 66, 210)(41, 185, 64, 208, 94, 238, 126, 270, 102, 246, 69, 213)(45, 189, 75, 219, 107, 251, 136, 280, 106, 250, 73, 217)(46, 190, 76, 220, 108, 252, 135, 279, 103, 247, 71, 215)(51, 195, 81, 225, 115, 259, 139, 283, 117, 261, 84, 228)(52, 196, 82, 226, 116, 260, 140, 284, 118, 262, 85, 229)(67, 211, 97, 241, 129, 273, 143, 287, 131, 275, 100, 244)(68, 212, 98, 242, 130, 274, 144, 288, 132, 276, 101, 245)(79, 223, 113, 257, 89, 233, 120, 264, 138, 282, 111, 255)(80, 224, 114, 258, 88, 232, 119, 263, 137, 281, 109, 253)(95, 239, 127, 271, 105, 249, 134, 278, 142, 286, 125, 269)(96, 240, 128, 272, 104, 248, 133, 277, 141, 285, 123, 267)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 148)(7, 163)(8, 166)(9, 161)(10, 170)(11, 147)(12, 165)(13, 167)(14, 162)(15, 149)(16, 178)(17, 155)(18, 159)(19, 156)(20, 183)(21, 151)(22, 157)(23, 152)(24, 189)(25, 191)(26, 180)(27, 195)(28, 154)(29, 192)(30, 185)(31, 190)(32, 200)(33, 202)(34, 181)(35, 160)(36, 172)(37, 179)(38, 207)(39, 174)(40, 211)(41, 164)(42, 208)(43, 215)(44, 217)(45, 175)(46, 168)(47, 173)(48, 169)(49, 223)(50, 225)(51, 206)(52, 171)(53, 226)(54, 224)(55, 212)(56, 177)(57, 232)(58, 176)(59, 233)(60, 229)(61, 228)(62, 196)(63, 186)(64, 182)(65, 239)(66, 241)(67, 199)(68, 184)(69, 242)(70, 240)(71, 188)(72, 248)(73, 187)(74, 249)(75, 245)(76, 244)(77, 253)(78, 255)(79, 198)(80, 193)(81, 197)(82, 194)(83, 246)(84, 204)(85, 205)(86, 243)(87, 263)(88, 203)(89, 201)(90, 264)(91, 252)(92, 251)(93, 267)(94, 269)(95, 214)(96, 209)(97, 213)(98, 210)(99, 227)(100, 219)(101, 220)(102, 230)(103, 277)(104, 218)(105, 216)(106, 278)(107, 235)(108, 236)(109, 222)(110, 273)(111, 221)(112, 274)(113, 271)(114, 272)(115, 268)(116, 270)(117, 280)(118, 279)(119, 234)(120, 231)(121, 276)(122, 275)(123, 238)(124, 260)(125, 237)(126, 259)(127, 258)(128, 257)(129, 256)(130, 254)(131, 265)(132, 266)(133, 250)(134, 247)(135, 261)(136, 262)(137, 287)(138, 288)(139, 285)(140, 286)(141, 284)(142, 283)(143, 282)(144, 281)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2106
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 24 e = 144 f = 84
	degree seq :: [ 12^24 ]

E19.2111 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = S3 x SL(2,3) (small group id <144, 128>)
Aut   = $<288, 851>$ (small group id <288, 851>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^6, T1^-2 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1, T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^4, (T2^-1 * T1^2 * T2^-1 * T1^-1)^2, T1^-4 * T2^-1 * T1 * T2 * T1^2 * T2 * T1^-1, T2 * T1^-3 * T2 * T1^-1 * T2 * T1^2 * T2^-1 * T1^-2, T1^-2 * T2^-1 * T1^2 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147, 5, 149)(2, 146, 7, 151, 8, 152)(4, 148, 11, 155, 13, 157)(6, 150, 17, 161, 18, 162)(9, 153, 24, 168, 25, 169)(10, 154, 26, 170, 28, 172)(12, 156, 31, 175, 32, 176)(14, 158, 36, 180, 37, 181)(15, 159, 38, 182, 40, 184)(16, 160, 41, 185, 42, 186)(19, 163, 46, 190, 34, 178)(20, 164, 47, 191, 49, 193)(21, 165, 39, 183, 51, 195)(22, 166, 52, 196, 54, 198)(23, 167, 30, 174, 56, 200)(27, 171, 61, 205, 62, 206)(29, 173, 57, 201, 65, 209)(33, 177, 58, 202, 71, 215)(35, 179, 60, 204, 73, 217)(43, 187, 78, 222, 80, 224)(44, 188, 53, 197, 82, 226)(45, 189, 67, 211, 84, 228)(48, 192, 87, 231, 88, 232)(50, 194, 86, 230, 91, 235)(55, 199, 93, 237, 94, 238)(59, 203, 74, 218, 99, 243)(63, 207, 75, 219, 104, 248)(64, 208, 68, 212, 106, 250)(66, 210, 108, 252, 109, 253)(69, 213, 107, 251, 113, 257)(70, 214, 96, 240, 101, 245)(72, 216, 114, 258, 85, 229)(76, 220, 117, 261, 110, 254)(77, 221, 83, 227, 120, 264)(79, 223, 123, 267, 124, 268)(81, 225, 122, 266, 127, 271)(89, 233, 92, 236, 133, 277)(90, 234, 134, 278, 121, 265)(95, 239, 97, 241, 137, 281)(98, 242, 102, 246, 119, 263)(100, 244, 126, 270, 139, 283)(103, 247, 138, 282, 140, 284)(105, 249, 132, 276, 141, 285)(111, 255, 135, 279, 136, 280)(112, 256, 129, 273, 131, 275)(115, 259, 116, 260, 118, 262)(125, 269, 128, 272, 143, 287)(130, 274, 142, 286, 144, 288)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 160)(7, 163)(8, 165)(9, 167)(10, 147)(11, 173)(12, 148)(13, 177)(14, 179)(15, 149)(16, 156)(17, 182)(18, 188)(19, 172)(20, 151)(21, 194)(22, 152)(23, 199)(24, 190)(25, 176)(26, 203)(27, 154)(28, 207)(29, 208)(30, 155)(31, 211)(32, 213)(33, 214)(34, 157)(35, 216)(36, 178)(37, 206)(38, 193)(39, 159)(40, 198)(41, 196)(42, 221)(43, 161)(44, 225)(45, 162)(46, 184)(47, 229)(48, 164)(49, 233)(50, 234)(51, 232)(52, 224)(53, 166)(54, 228)(55, 171)(56, 239)(57, 168)(58, 169)(59, 242)(60, 170)(61, 245)(62, 247)(63, 192)(64, 249)(65, 186)(66, 174)(67, 254)(68, 175)(69, 256)(70, 218)(71, 253)(72, 183)(73, 259)(74, 180)(75, 181)(76, 185)(77, 263)(78, 265)(79, 187)(80, 269)(81, 270)(82, 268)(83, 189)(84, 201)(85, 273)(86, 191)(87, 217)(88, 276)(89, 223)(90, 197)(91, 279)(92, 195)(93, 215)(94, 278)(95, 266)(96, 200)(97, 202)(98, 261)(99, 238)(100, 204)(101, 267)(102, 205)(103, 264)(104, 283)(105, 210)(106, 274)(107, 209)(108, 275)(109, 272)(110, 284)(111, 212)(112, 241)(113, 280)(114, 248)(115, 271)(116, 219)(117, 244)(118, 220)(119, 286)(120, 260)(121, 240)(122, 222)(123, 235)(124, 237)(125, 262)(126, 227)(127, 252)(128, 226)(129, 250)(130, 230)(131, 231)(132, 257)(133, 288)(134, 277)(135, 246)(136, 236)(137, 285)(138, 243)(139, 287)(140, 255)(141, 258)(142, 251)(143, 281)(144, 282)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2107
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 144 f = 60
	degree seq :: [ 6^48 ]

E19.2112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = S3 x SL(2,3) (small group id <144, 128>)
Aut   = $<288, 851>$ (small group id <288, 851>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, (Y3 * Y2)^6, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 145, 2, 146, 4, 148)(3, 147, 8, 152, 10, 154)(5, 149, 13, 157, 14, 158)(6, 150, 15, 159, 17, 161)(7, 151, 18, 162, 19, 163)(9, 153, 16, 160, 22, 166)(11, 155, 25, 169, 26, 170)(12, 156, 27, 171, 28, 172)(20, 164, 33, 177, 34, 178)(21, 165, 35, 179, 36, 180)(23, 167, 37, 181, 38, 182)(24, 168, 39, 183, 40, 184)(29, 173, 45, 189, 46, 190)(30, 174, 47, 191, 48, 192)(31, 175, 49, 193, 50, 194)(32, 176, 51, 195, 52, 196)(41, 185, 61, 205, 62, 206)(42, 186, 63, 207, 64, 208)(43, 187, 65, 209, 66, 210)(44, 188, 67, 211, 68, 212)(53, 197, 77, 221, 78, 222)(54, 198, 79, 223, 80, 224)(55, 199, 81, 225, 82, 226)(56, 200, 83, 227, 84, 228)(57, 201, 85, 229, 86, 230)(58, 202, 87, 231, 88, 232)(59, 203, 89, 233, 70, 214)(60, 204, 90, 234, 69, 213)(71, 215, 97, 241, 98, 242)(72, 216, 99, 243, 100, 244)(73, 217, 101, 245, 102, 246)(74, 218, 103, 247, 104, 248)(75, 219, 105, 249, 92, 236)(76, 220, 106, 250, 91, 235)(93, 237, 119, 263, 120, 264)(94, 238, 121, 265, 122, 266)(95, 239, 123, 267, 124, 268)(96, 240, 125, 269, 126, 270)(107, 251, 131, 275, 130, 274)(108, 252, 132, 276, 129, 273)(109, 253, 127, 271, 137, 281)(110, 254, 128, 272, 138, 282)(111, 255, 135, 279, 114, 258)(112, 256, 136, 280, 113, 257)(115, 259, 133, 277, 139, 283)(116, 260, 134, 278, 140, 284)(117, 261, 141, 285, 142, 286)(118, 262, 143, 287, 144, 288)(289, 433, 291, 435, 297, 441, 293, 437)(290, 434, 294, 438, 304, 448, 295, 439)(292, 436, 299, 443, 310, 454, 300, 444)(296, 440, 308, 452, 301, 445, 309, 453)(298, 442, 311, 455, 302, 446, 312, 456)(303, 447, 317, 461, 306, 450, 318, 462)(305, 449, 319, 463, 307, 451, 320, 464)(313, 457, 329, 473, 315, 459, 330, 474)(314, 458, 331, 475, 316, 460, 332, 476)(321, 465, 341, 485, 323, 467, 342, 486)(322, 466, 343, 487, 324, 468, 344, 488)(325, 469, 345, 489, 327, 471, 346, 490)(326, 470, 347, 491, 328, 472, 348, 492)(333, 477, 357, 501, 335, 479, 358, 502)(334, 478, 359, 503, 336, 480, 360, 504)(337, 481, 361, 505, 339, 483, 362, 506)(338, 482, 363, 507, 340, 484, 364, 508)(349, 493, 379, 523, 351, 495, 380, 524)(350, 494, 381, 525, 352, 496, 382, 526)(353, 497, 383, 527, 355, 499, 384, 528)(354, 498, 367, 511, 356, 500, 365, 509)(366, 510, 395, 539, 368, 512, 396, 540)(369, 513, 397, 541, 371, 515, 398, 542)(370, 514, 399, 543, 372, 516, 400, 544)(373, 517, 401, 545, 375, 519, 402, 546)(374, 518, 403, 547, 376, 520, 404, 548)(377, 521, 405, 549, 378, 522, 406, 550)(385, 529, 415, 559, 387, 531, 416, 560)(386, 530, 417, 561, 388, 532, 418, 562)(389, 533, 419, 563, 391, 535, 420, 564)(390, 534, 421, 565, 392, 536, 422, 566)(393, 537, 423, 567, 394, 538, 424, 568)(407, 551, 425, 569, 409, 553, 426, 570)(408, 552, 430, 574, 410, 554, 432, 576)(411, 555, 431, 575, 413, 557, 429, 573)(412, 556, 427, 571, 414, 558, 428, 572)
	L = (1, 292)(2, 289)(3, 298)(4, 290)(5, 302)(6, 305)(7, 307)(8, 291)(9, 310)(10, 296)(11, 314)(12, 316)(13, 293)(14, 301)(15, 294)(16, 297)(17, 303)(18, 295)(19, 306)(20, 322)(21, 324)(22, 304)(23, 326)(24, 328)(25, 299)(26, 313)(27, 300)(28, 315)(29, 334)(30, 336)(31, 338)(32, 340)(33, 308)(34, 321)(35, 309)(36, 323)(37, 311)(38, 325)(39, 312)(40, 327)(41, 350)(42, 352)(43, 354)(44, 356)(45, 317)(46, 333)(47, 318)(48, 335)(49, 319)(50, 337)(51, 320)(52, 339)(53, 366)(54, 368)(55, 370)(56, 372)(57, 374)(58, 376)(59, 358)(60, 357)(61, 329)(62, 349)(63, 330)(64, 351)(65, 331)(66, 353)(67, 332)(68, 355)(69, 378)(70, 377)(71, 386)(72, 388)(73, 390)(74, 392)(75, 380)(76, 379)(77, 341)(78, 365)(79, 342)(80, 367)(81, 343)(82, 369)(83, 344)(84, 371)(85, 345)(86, 373)(87, 346)(88, 375)(89, 347)(90, 348)(91, 394)(92, 393)(93, 408)(94, 410)(95, 412)(96, 414)(97, 359)(98, 385)(99, 360)(100, 387)(101, 361)(102, 389)(103, 362)(104, 391)(105, 363)(106, 364)(107, 418)(108, 417)(109, 425)(110, 426)(111, 402)(112, 401)(113, 424)(114, 423)(115, 427)(116, 428)(117, 430)(118, 432)(119, 381)(120, 407)(121, 382)(122, 409)(123, 383)(124, 411)(125, 384)(126, 413)(127, 397)(128, 398)(129, 420)(130, 419)(131, 395)(132, 396)(133, 403)(134, 404)(135, 399)(136, 400)(137, 415)(138, 416)(139, 421)(140, 422)(141, 405)(142, 429)(143, 406)(144, 431)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2115
Graph:: bipartite
	v = 84 e = 288 f = 168
	degree seq :: [ 6^48, 8^36 ]

E19.2113 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = S3 x SL(2,3) (small group id <144, 128>)
Aut   = $<288, 851>$ (small group id <288, 851>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y1^4, R * Y2 * R * Y3, (R * Y1)^2, (Y1^-1 * Y2^-1)^3, Y2^6, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y1 * Y2^-2 * Y1^-2 * Y2^2 * Y1, Y2^2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 4, 148)(3, 147, 9, 153, 17, 161, 11, 155)(5, 149, 14, 158, 18, 162, 15, 159)(7, 151, 19, 163, 12, 156, 21, 165)(8, 152, 22, 166, 13, 157, 23, 167)(10, 154, 26, 170, 36, 180, 28, 172)(16, 160, 34, 178, 37, 181, 35, 179)(20, 164, 39, 183, 30, 174, 41, 185)(24, 168, 45, 189, 31, 175, 46, 190)(25, 169, 47, 191, 29, 173, 48, 192)(27, 171, 51, 195, 62, 206, 52, 196)(32, 176, 56, 200, 33, 177, 58, 202)(38, 182, 63, 207, 42, 186, 64, 208)(40, 184, 67, 211, 55, 199, 68, 212)(43, 187, 71, 215, 44, 188, 73, 217)(49, 193, 79, 223, 54, 198, 80, 224)(50, 194, 81, 225, 53, 197, 82, 226)(57, 201, 88, 232, 59, 203, 89, 233)(60, 204, 85, 229, 61, 205, 84, 228)(65, 209, 95, 239, 70, 214, 96, 240)(66, 210, 97, 241, 69, 213, 98, 242)(72, 216, 104, 248, 74, 218, 105, 249)(75, 219, 101, 245, 76, 220, 100, 244)(77, 221, 109, 253, 78, 222, 111, 255)(83, 227, 102, 246, 86, 230, 99, 243)(87, 231, 119, 263, 90, 234, 120, 264)(91, 235, 108, 252, 92, 236, 107, 251)(93, 237, 123, 267, 94, 238, 125, 269)(103, 247, 133, 277, 106, 250, 134, 278)(110, 254, 129, 273, 112, 256, 130, 274)(113, 257, 127, 271, 114, 258, 128, 272)(115, 259, 124, 268, 116, 260, 126, 270)(117, 261, 136, 280, 118, 262, 135, 279)(121, 265, 132, 276, 122, 266, 131, 275)(137, 281, 143, 287, 138, 282, 144, 288)(139, 283, 141, 285, 140, 284, 142, 286)(289, 433, 291, 435, 298, 442, 315, 459, 304, 448, 293, 437)(290, 434, 295, 439, 308, 452, 328, 472, 312, 456, 296, 440)(292, 436, 300, 444, 318, 462, 343, 487, 319, 463, 301, 445)(294, 438, 305, 449, 324, 468, 350, 494, 325, 469, 306, 450)(297, 441, 310, 454, 331, 475, 360, 504, 337, 481, 313, 457)(299, 443, 311, 455, 332, 476, 362, 506, 342, 486, 317, 461)(302, 446, 320, 464, 345, 489, 358, 502, 330, 474, 309, 453)(303, 447, 321, 465, 347, 491, 353, 497, 326, 470, 307, 451)(314, 458, 335, 479, 365, 509, 398, 542, 371, 515, 338, 482)(316, 460, 336, 480, 366, 510, 400, 544, 374, 518, 341, 485)(322, 466, 348, 492, 379, 523, 410, 554, 378, 522, 346, 490)(323, 467, 349, 493, 380, 524, 409, 553, 375, 519, 344, 488)(327, 471, 351, 495, 381, 525, 412, 556, 387, 531, 354, 498)(329, 473, 352, 496, 382, 526, 414, 558, 390, 534, 357, 501)(333, 477, 363, 507, 395, 539, 424, 568, 394, 538, 361, 505)(334, 478, 364, 508, 396, 540, 423, 567, 391, 535, 359, 503)(339, 483, 369, 513, 403, 547, 427, 571, 405, 549, 372, 516)(340, 484, 370, 514, 404, 548, 428, 572, 406, 550, 373, 517)(355, 499, 385, 529, 417, 561, 431, 575, 419, 563, 388, 532)(356, 500, 386, 530, 418, 562, 432, 576, 420, 564, 389, 533)(367, 511, 401, 545, 377, 521, 408, 552, 426, 570, 399, 543)(368, 512, 402, 546, 376, 520, 407, 551, 425, 569, 397, 541)(383, 527, 415, 559, 393, 537, 422, 566, 430, 574, 413, 557)(384, 528, 416, 560, 392, 536, 421, 565, 429, 573, 411, 555)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 308)(8, 290)(9, 310)(10, 315)(11, 311)(12, 318)(13, 292)(14, 320)(15, 321)(16, 293)(17, 324)(18, 294)(19, 303)(20, 328)(21, 302)(22, 331)(23, 332)(24, 296)(25, 297)(26, 335)(27, 304)(28, 336)(29, 299)(30, 343)(31, 301)(32, 345)(33, 347)(34, 348)(35, 349)(36, 350)(37, 306)(38, 307)(39, 351)(40, 312)(41, 352)(42, 309)(43, 360)(44, 362)(45, 363)(46, 364)(47, 365)(48, 366)(49, 313)(50, 314)(51, 369)(52, 370)(53, 316)(54, 317)(55, 319)(56, 323)(57, 358)(58, 322)(59, 353)(60, 379)(61, 380)(62, 325)(63, 381)(64, 382)(65, 326)(66, 327)(67, 385)(68, 386)(69, 329)(70, 330)(71, 334)(72, 337)(73, 333)(74, 342)(75, 395)(76, 396)(77, 398)(78, 400)(79, 401)(80, 402)(81, 403)(82, 404)(83, 338)(84, 339)(85, 340)(86, 341)(87, 344)(88, 407)(89, 408)(90, 346)(91, 410)(92, 409)(93, 412)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 354)(100, 355)(101, 356)(102, 357)(103, 359)(104, 421)(105, 422)(106, 361)(107, 424)(108, 423)(109, 368)(110, 371)(111, 367)(112, 374)(113, 377)(114, 376)(115, 427)(116, 428)(117, 372)(118, 373)(119, 425)(120, 426)(121, 375)(122, 378)(123, 384)(124, 387)(125, 383)(126, 390)(127, 393)(128, 392)(129, 431)(130, 432)(131, 388)(132, 389)(133, 429)(134, 430)(135, 391)(136, 394)(137, 397)(138, 399)(139, 405)(140, 406)(141, 411)(142, 413)(143, 419)(144, 420)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2114
Graph:: bipartite
	v = 60 e = 288 f = 192
	degree seq :: [ 8^36, 12^24 ]

E19.2114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = S3 x SL(2,3) (small group id <144, 128>)
Aut   = $<288, 851>$ (small group id <288, 851>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-2 * Y2, Y2^-2 * Y3^-1 * Y2^3 * Y3 * Y2^-1, (Y3 * Y2^-1)^4, (Y3 * Y2^-1 * Y3^-2 * Y2^-1)^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2 * Y3^-5, Y3^-3 * Y2^-1 * Y3^-2 * Y2 * Y3^2 * Y2^-1 * Y3^-1 * Y2^-1, Y3^2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y3, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)(289, 433, 290, 434, 292, 436)(291, 435, 296, 440, 298, 442)(293, 437, 301, 445, 302, 446)(294, 438, 304, 448, 306, 450)(295, 439, 307, 451, 308, 452)(297, 441, 312, 456, 314, 458)(299, 443, 317, 461, 319, 463)(300, 444, 320, 464, 321, 465)(303, 447, 327, 471, 328, 472)(305, 449, 331, 475, 333, 477)(309, 453, 310, 454, 338, 482)(311, 455, 335, 479, 340, 484)(313, 457, 344, 488, 345, 489)(315, 459, 324, 468, 336, 480)(316, 460, 337, 481, 347, 491)(318, 462, 350, 494, 326, 470)(322, 466, 329, 473, 355, 499)(323, 467, 356, 500, 349, 493)(325, 469, 358, 502, 352, 496)(330, 474, 353, 497, 365, 509)(332, 476, 369, 513, 370, 514)(334, 478, 354, 498, 372, 516)(339, 483, 377, 521, 379, 523)(341, 485, 342, 486, 381, 525)(343, 487, 373, 517, 362, 506)(346, 490, 380, 524, 386, 530)(348, 492, 375, 519, 368, 512)(351, 495, 391, 535, 392, 536)(357, 501, 394, 538, 390, 534)(359, 503, 398, 542, 363, 507)(360, 504, 396, 540, 400, 544)(361, 505, 401, 545, 397, 541)(364, 508, 405, 549, 407, 551)(366, 510, 367, 511, 409, 553)(371, 515, 408, 552, 414, 558)(374, 518, 416, 560, 376, 520)(378, 522, 421, 565, 422, 566)(382, 526, 410, 554, 427, 571)(383, 527, 384, 528, 406, 550)(385, 529, 403, 547, 415, 559)(387, 531, 425, 569, 420, 564)(388, 532, 389, 533, 429, 573)(393, 537, 428, 572, 395, 539)(399, 543, 413, 557, 417, 561)(402, 546, 411, 555, 412, 556)(404, 548, 418, 562, 419, 563)(423, 567, 431, 575, 430, 574)(424, 568, 432, 576, 426, 570)
	L = (1, 291)(2, 294)(3, 297)(4, 299)(5, 289)(6, 305)(7, 290)(8, 310)(9, 313)(10, 315)(11, 318)(12, 292)(13, 323)(14, 325)(15, 293)(16, 329)(17, 332)(18, 324)(19, 335)(20, 337)(21, 295)(22, 339)(23, 296)(24, 342)(25, 303)(26, 308)(27, 320)(28, 298)(29, 327)(30, 351)(31, 336)(32, 353)(33, 354)(34, 300)(35, 357)(36, 301)(37, 359)(38, 302)(39, 361)(40, 362)(41, 364)(42, 304)(43, 367)(44, 309)(45, 321)(46, 306)(47, 373)(48, 307)(49, 374)(50, 375)(51, 378)(52, 380)(53, 311)(54, 382)(55, 312)(56, 384)(57, 340)(58, 314)(59, 369)(60, 316)(61, 317)(62, 389)(63, 322)(64, 319)(65, 348)(66, 393)(67, 394)(68, 396)(69, 334)(70, 344)(71, 399)(72, 326)(73, 402)(74, 403)(75, 328)(76, 406)(77, 408)(78, 330)(79, 410)(80, 331)(81, 412)(82, 365)(83, 333)(84, 391)(85, 352)(86, 387)(87, 417)(88, 338)(89, 419)(90, 341)(91, 347)(92, 424)(93, 425)(94, 414)(95, 343)(96, 428)(97, 345)(98, 421)(99, 346)(100, 349)(101, 427)(102, 350)(103, 422)(104, 356)(105, 415)(106, 420)(107, 355)(108, 426)(109, 358)(110, 423)(111, 360)(112, 411)(113, 418)(114, 388)(115, 405)(116, 363)(117, 404)(118, 366)(119, 372)(120, 432)(121, 385)(122, 400)(123, 368)(124, 398)(125, 370)(126, 383)(127, 371)(128, 431)(129, 401)(130, 376)(131, 395)(132, 377)(133, 390)(134, 416)(135, 379)(136, 409)(137, 392)(138, 381)(139, 386)(140, 430)(141, 413)(142, 397)(143, 407)(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) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2113
Graph:: simple bipartite
	v = 192 e = 288 f = 60
	degree seq :: [ 2^144, 6^48 ]

E19.2115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = S3 x SL(2,3) (small group id <144, 128>)
Aut   = $<288, 851>$ (small group id <288, 851>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, Y1^-2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, (Y3^-1 * Y1^2 * Y3^-1 * Y1^-1)^2, Y1^-4 * Y3^-1 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1, Y3 * Y1^-3 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-2, Y1^-2 * Y3^-1 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 145, 2, 146, 6, 150, 16, 160, 12, 156, 4, 148)(3, 147, 9, 153, 23, 167, 55, 199, 27, 171, 10, 154)(5, 149, 14, 158, 35, 179, 72, 216, 39, 183, 15, 159)(7, 151, 19, 163, 28, 172, 63, 207, 48, 192, 20, 164)(8, 152, 21, 165, 50, 194, 90, 234, 53, 197, 22, 166)(11, 155, 29, 173, 64, 208, 105, 249, 66, 210, 30, 174)(13, 157, 33, 177, 70, 214, 74, 218, 36, 180, 34, 178)(17, 161, 38, 182, 49, 193, 89, 233, 79, 223, 43, 187)(18, 162, 44, 188, 81, 225, 126, 270, 83, 227, 45, 189)(24, 168, 46, 190, 40, 184, 54, 198, 84, 228, 57, 201)(25, 169, 32, 176, 69, 213, 112, 256, 97, 241, 58, 202)(26, 170, 59, 203, 98, 242, 117, 261, 100, 244, 60, 204)(31, 175, 67, 211, 110, 254, 140, 284, 111, 255, 68, 212)(37, 181, 62, 206, 103, 247, 120, 264, 116, 260, 75, 219)(41, 185, 52, 196, 80, 224, 125, 269, 118, 262, 76, 220)(42, 186, 77, 221, 119, 263, 142, 286, 107, 251, 65, 209)(47, 191, 85, 229, 129, 273, 106, 250, 130, 274, 86, 230)(51, 195, 88, 232, 132, 276, 113, 257, 136, 280, 92, 236)(56, 200, 95, 239, 122, 266, 78, 222, 121, 265, 96, 240)(61, 205, 101, 245, 123, 267, 91, 235, 135, 279, 102, 246)(71, 215, 109, 253, 128, 272, 82, 226, 124, 268, 93, 237)(73, 217, 115, 259, 127, 271, 108, 252, 131, 275, 87, 231)(94, 238, 134, 278, 133, 277, 144, 288, 138, 282, 99, 243)(104, 248, 139, 283, 143, 287, 137, 281, 141, 285, 114, 258)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 295)(3, 293)(4, 299)(5, 289)(6, 305)(7, 296)(8, 290)(9, 312)(10, 314)(11, 301)(12, 319)(13, 292)(14, 324)(15, 326)(16, 329)(17, 306)(18, 294)(19, 334)(20, 335)(21, 327)(22, 340)(23, 318)(24, 313)(25, 297)(26, 316)(27, 349)(28, 298)(29, 345)(30, 344)(31, 320)(32, 300)(33, 346)(34, 307)(35, 348)(36, 325)(37, 302)(38, 328)(39, 339)(40, 303)(41, 330)(42, 304)(43, 366)(44, 341)(45, 355)(46, 322)(47, 337)(48, 375)(49, 308)(50, 374)(51, 309)(52, 342)(53, 370)(54, 310)(55, 381)(56, 311)(57, 353)(58, 359)(59, 362)(60, 361)(61, 350)(62, 315)(63, 363)(64, 356)(65, 317)(66, 396)(67, 372)(68, 394)(69, 395)(70, 384)(71, 321)(72, 402)(73, 323)(74, 387)(75, 392)(76, 405)(77, 371)(78, 368)(79, 411)(80, 331)(81, 410)(82, 332)(83, 408)(84, 333)(85, 360)(86, 379)(87, 376)(88, 336)(89, 380)(90, 422)(91, 338)(92, 421)(93, 382)(94, 343)(95, 385)(96, 389)(97, 425)(98, 390)(99, 347)(100, 414)(101, 358)(102, 407)(103, 426)(104, 351)(105, 420)(106, 352)(107, 401)(108, 397)(109, 354)(110, 364)(111, 423)(112, 417)(113, 357)(114, 373)(115, 404)(116, 406)(117, 398)(118, 403)(119, 386)(120, 365)(121, 378)(122, 415)(123, 412)(124, 367)(125, 416)(126, 427)(127, 369)(128, 431)(129, 419)(130, 430)(131, 400)(132, 429)(133, 377)(134, 409)(135, 424)(136, 399)(137, 383)(138, 428)(139, 388)(140, 391)(141, 393)(142, 432)(143, 413)(144, 418)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2112
Graph:: simple bipartite
	v = 168 e = 288 f = 84
	degree seq :: [ 2^144, 12^24 ]

E19.2116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = S3 x SL(2,3) (small group id <144, 128>)
Aut   = $<288, 851>$ (small group id <288, 851>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1^-2, Y3^3, (R * Y1)^2, (R * Y3)^2, Y2^6, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2^2 * Y1, Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^4, Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2, Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^3 * Y1^-1, Y2^-3 * Y1 * Y2^-1 * Y1 * Y2^-3 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2, Y2^-1 * Y1 * Y2^-3 * Y3 * Y2 * Y1^-1 * Y2^-3 * Y3^-1, Y2^2 * Y1 * Y2^-2 * Y3 * Y2 * Y1^-1 * Y2^3 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2, Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map::
	R = (1, 145, 2, 146, 4, 148)(3, 147, 8, 152, 10, 154)(5, 149, 13, 157, 14, 158)(6, 150, 16, 160, 18, 162)(7, 151, 19, 163, 20, 164)(9, 153, 24, 168, 26, 170)(11, 155, 29, 173, 31, 175)(12, 156, 32, 176, 33, 177)(15, 159, 39, 183, 40, 184)(17, 161, 36, 180, 44, 188)(21, 165, 49, 193, 50, 194)(22, 166, 41, 185, 38, 182)(23, 167, 51, 195, 52, 196)(25, 169, 55, 199, 56, 200)(27, 171, 34, 178, 60, 204)(28, 172, 61, 205, 62, 206)(30, 174, 47, 191, 66, 210)(35, 179, 42, 186, 69, 213)(37, 181, 45, 189, 72, 216)(43, 187, 77, 221, 78, 222)(46, 190, 64, 208, 83, 227)(48, 192, 67, 211, 85, 229)(53, 197, 92, 236, 93, 237)(54, 198, 94, 238, 95, 239)(57, 201, 63, 207, 100, 244)(58, 202, 73, 217, 76, 220)(59, 203, 90, 234, 103, 247)(65, 209, 105, 249, 89, 233)(68, 212, 74, 218, 109, 253)(70, 214, 111, 255, 112, 256)(71, 215, 80, 224, 86, 230)(75, 219, 110, 254, 116, 260)(79, 223, 81, 225, 120, 264)(82, 226, 87, 231, 123, 267)(84, 228, 125, 269, 126, 270)(88, 232, 124, 268, 130, 274)(91, 235, 104, 248, 133, 277)(96, 240, 127, 271, 117, 261)(97, 241, 122, 266, 113, 257)(98, 242, 101, 245, 129, 273)(99, 243, 119, 263, 138, 282)(102, 246, 118, 262, 121, 265)(106, 250, 107, 251, 137, 281)(108, 252, 135, 279, 141, 285)(114, 258, 128, 272, 140, 284)(115, 259, 131, 275, 134, 278)(132, 276, 142, 286, 144, 288)(136, 280, 139, 283, 143, 287)(289, 433, 291, 435, 297, 441, 313, 457, 303, 447, 293, 437)(290, 434, 294, 438, 305, 449, 331, 475, 309, 453, 295, 439)(292, 436, 299, 443, 318, 462, 353, 497, 322, 466, 300, 444)(296, 440, 310, 454, 308, 452, 336, 480, 341, 485, 311, 455)(298, 442, 315, 459, 347, 491, 390, 534, 351, 495, 316, 460)(301, 445, 323, 467, 356, 500, 396, 540, 358, 502, 324, 468)(302, 446, 325, 469, 359, 503, 352, 496, 317, 461, 326, 470)(304, 448, 329, 473, 321, 465, 350, 494, 364, 508, 330, 474)(306, 450, 328, 472, 363, 507, 403, 547, 369, 513, 333, 477)(307, 451, 334, 478, 370, 514, 410, 554, 372, 516, 335, 479)(312, 456, 320, 464, 340, 484, 379, 523, 384, 528, 342, 486)(314, 458, 345, 489, 387, 531, 413, 557, 389, 533, 346, 490)(319, 463, 338, 482, 376, 520, 417, 561, 395, 539, 355, 499)(327, 471, 361, 505, 401, 545, 418, 562, 402, 546, 362, 506)(332, 476, 367, 511, 407, 551, 382, 526, 409, 553, 368, 512)(337, 481, 374, 518, 415, 559, 391, 535, 416, 560, 375, 519)(339, 483, 377, 521, 419, 563, 397, 541, 420, 564, 378, 522)(343, 487, 349, 493, 383, 527, 424, 568, 425, 569, 385, 529)(344, 488, 386, 530, 411, 555, 430, 574, 398, 542, 357, 501)(348, 492, 381, 525, 423, 567, 404, 548, 428, 572, 392, 536)(354, 498, 394, 538, 426, 570, 399, 543, 422, 566, 380, 524)(360, 504, 400, 544, 427, 571, 388, 532, 405, 549, 365, 509)(366, 510, 406, 550, 421, 565, 432, 576, 412, 556, 371, 515)(373, 517, 414, 558, 431, 575, 408, 552, 429, 573, 393, 537)
	L = (1, 292)(2, 289)(3, 298)(4, 290)(5, 302)(6, 306)(7, 308)(8, 291)(9, 314)(10, 296)(11, 319)(12, 321)(13, 293)(14, 301)(15, 328)(16, 294)(17, 332)(18, 304)(19, 295)(20, 307)(21, 338)(22, 326)(23, 340)(24, 297)(25, 344)(26, 312)(27, 348)(28, 350)(29, 299)(30, 354)(31, 317)(32, 300)(33, 320)(34, 315)(35, 357)(36, 305)(37, 360)(38, 329)(39, 303)(40, 327)(41, 310)(42, 323)(43, 366)(44, 324)(45, 325)(46, 371)(47, 318)(48, 373)(49, 309)(50, 337)(51, 311)(52, 339)(53, 381)(54, 383)(55, 313)(56, 343)(57, 388)(58, 364)(59, 391)(60, 322)(61, 316)(62, 349)(63, 345)(64, 334)(65, 377)(66, 335)(67, 336)(68, 397)(69, 330)(70, 400)(71, 374)(72, 333)(73, 346)(74, 356)(75, 404)(76, 361)(77, 331)(78, 365)(79, 408)(80, 359)(81, 367)(82, 411)(83, 352)(84, 414)(85, 355)(86, 368)(87, 370)(88, 418)(89, 393)(90, 347)(91, 421)(92, 341)(93, 380)(94, 342)(95, 382)(96, 405)(97, 401)(98, 417)(99, 426)(100, 351)(101, 386)(102, 409)(103, 378)(104, 379)(105, 353)(106, 425)(107, 394)(108, 429)(109, 362)(110, 363)(111, 358)(112, 399)(113, 410)(114, 428)(115, 422)(116, 398)(117, 415)(118, 390)(119, 387)(120, 369)(121, 406)(122, 385)(123, 375)(124, 376)(125, 372)(126, 413)(127, 384)(128, 402)(129, 389)(130, 412)(131, 403)(132, 432)(133, 392)(134, 419)(135, 396)(136, 431)(137, 395)(138, 407)(139, 424)(140, 416)(141, 423)(142, 420)(143, 427)(144, 430)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2117
Graph:: bipartite
	v = 72 e = 288 f = 180
	degree seq :: [ 6^48, 12^24 ]

E19.2117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = S3 x SL(2,3) (small group id <144, 128>)
Aut   = $<288, 851>$ (small group id <288, 851>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y3^6, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3, (Y3 * Y2^-1)^6 ]
Map:: polytopal
	R = (1, 145, 2, 146, 6, 150, 4, 148)(3, 147, 9, 153, 17, 161, 11, 155)(5, 149, 14, 158, 18, 162, 15, 159)(7, 151, 19, 163, 12, 156, 21, 165)(8, 152, 22, 166, 13, 157, 23, 167)(10, 154, 26, 170, 36, 180, 28, 172)(16, 160, 34, 178, 37, 181, 35, 179)(20, 164, 39, 183, 30, 174, 41, 185)(24, 168, 45, 189, 31, 175, 46, 190)(25, 169, 47, 191, 29, 173, 48, 192)(27, 171, 51, 195, 62, 206, 52, 196)(32, 176, 56, 200, 33, 177, 58, 202)(38, 182, 63, 207, 42, 186, 64, 208)(40, 184, 67, 211, 55, 199, 68, 212)(43, 187, 71, 215, 44, 188, 73, 217)(49, 193, 79, 223, 54, 198, 80, 224)(50, 194, 81, 225, 53, 197, 82, 226)(57, 201, 88, 232, 59, 203, 89, 233)(60, 204, 85, 229, 61, 205, 84, 228)(65, 209, 95, 239, 70, 214, 96, 240)(66, 210, 97, 241, 69, 213, 98, 242)(72, 216, 104, 248, 74, 218, 105, 249)(75, 219, 101, 245, 76, 220, 100, 244)(77, 221, 109, 253, 78, 222, 111, 255)(83, 227, 102, 246, 86, 230, 99, 243)(87, 231, 119, 263, 90, 234, 120, 264)(91, 235, 108, 252, 92, 236, 107, 251)(93, 237, 123, 267, 94, 238, 125, 269)(103, 247, 133, 277, 106, 250, 134, 278)(110, 254, 129, 273, 112, 256, 130, 274)(113, 257, 127, 271, 114, 258, 128, 272)(115, 259, 124, 268, 116, 260, 126, 270)(117, 261, 136, 280, 118, 262, 135, 279)(121, 265, 132, 276, 122, 266, 131, 275)(137, 281, 143, 287, 138, 282, 144, 288)(139, 283, 141, 285, 140, 284, 142, 286)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 308)(8, 290)(9, 310)(10, 315)(11, 311)(12, 318)(13, 292)(14, 320)(15, 321)(16, 293)(17, 324)(18, 294)(19, 303)(20, 328)(21, 302)(22, 331)(23, 332)(24, 296)(25, 297)(26, 335)(27, 304)(28, 336)(29, 299)(30, 343)(31, 301)(32, 345)(33, 347)(34, 348)(35, 349)(36, 350)(37, 306)(38, 307)(39, 351)(40, 312)(41, 352)(42, 309)(43, 360)(44, 362)(45, 363)(46, 364)(47, 365)(48, 366)(49, 313)(50, 314)(51, 369)(52, 370)(53, 316)(54, 317)(55, 319)(56, 323)(57, 358)(58, 322)(59, 353)(60, 379)(61, 380)(62, 325)(63, 381)(64, 382)(65, 326)(66, 327)(67, 385)(68, 386)(69, 329)(70, 330)(71, 334)(72, 337)(73, 333)(74, 342)(75, 395)(76, 396)(77, 398)(78, 400)(79, 401)(80, 402)(81, 403)(82, 404)(83, 338)(84, 339)(85, 340)(86, 341)(87, 344)(88, 407)(89, 408)(90, 346)(91, 410)(92, 409)(93, 412)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 354)(100, 355)(101, 356)(102, 357)(103, 359)(104, 421)(105, 422)(106, 361)(107, 424)(108, 423)(109, 368)(110, 371)(111, 367)(112, 374)(113, 377)(114, 376)(115, 427)(116, 428)(117, 372)(118, 373)(119, 425)(120, 426)(121, 375)(122, 378)(123, 384)(124, 387)(125, 383)(126, 390)(127, 393)(128, 392)(129, 431)(130, 432)(131, 388)(132, 389)(133, 429)(134, 430)(135, 391)(136, 394)(137, 397)(138, 399)(139, 405)(140, 406)(141, 411)(142, 413)(143, 419)(144, 420)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2116
Graph:: simple bipartite
	v = 180 e = 288 f = 72
	degree seq :: [ 2^144, 8^36 ]

E19.2118 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 130>)
Aut   = $<288, 873>$ (small group id <288, 873>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^-2 * T2 * T1^-2)^2, T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-2, (T2 * T1 * T2 * T1^-1)^3, T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 63, 93, 70, 41, 65, 34)(17, 35, 56, 28, 55, 83, 67, 36)(29, 57, 78, 50, 77, 108, 86, 58)(32, 61, 89, 69, 37, 68, 92, 62)(40, 51, 79, 105, 75, 74, 102, 72)(54, 81, 113, 88, 59, 87, 116, 82)(64, 85, 115, 90, 122, 136, 120, 95)(66, 91, 123, 131, 117, 99, 127, 97)(71, 100, 129, 104, 73, 103, 130, 101)(76, 106, 132, 112, 80, 111, 135, 107)(84, 110, 134, 114, 98, 128, 138, 118)(94, 125, 133, 119, 96, 126, 137, 109)(121, 139, 143, 142, 124, 140, 144, 141)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 55)(33, 48)(34, 64)(35, 66)(36, 60)(38, 70)(39, 71)(42, 73)(43, 58)(44, 74)(47, 75)(49, 76)(52, 80)(53, 77)(56, 84)(57, 85)(61, 90)(62, 91)(63, 94)(65, 96)(67, 98)(68, 95)(69, 99)(72, 97)(78, 109)(79, 110)(81, 114)(82, 115)(83, 117)(86, 119)(87, 118)(88, 120)(89, 121)(92, 124)(93, 122)(100, 123)(101, 126)(102, 128)(103, 127)(104, 125)(105, 131)(106, 133)(107, 134)(108, 136)(111, 137)(112, 138)(113, 139)(116, 140)(129, 141)(130, 142)(132, 143)(135, 144)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.2119 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 130>)
Aut   = $<288, 873>$ (small group id <288, 873>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^-2 * T1 * T2^-2)^2, T2^-2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^3, T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 ]
Map::
	R = (1, 3, 8, 18, 38, 22, 10, 4)(2, 5, 12, 26, 53, 30, 14, 6)(7, 15, 32, 62, 45, 56, 34, 16)(9, 19, 40, 46, 37, 70, 42, 20)(11, 23, 47, 76, 60, 41, 49, 24)(13, 27, 55, 31, 52, 84, 57, 28)(17, 35, 67, 44, 21, 43, 69, 36)(25, 50, 81, 59, 29, 58, 83, 51)(33, 63, 92, 66, 91, 123, 93, 64)(39, 68, 97, 126, 99, 74, 100, 71)(48, 77, 108, 80, 107, 133, 109, 78)(54, 82, 113, 136, 115, 88, 116, 85)(61, 89, 121, 95, 65, 94, 122, 90)(72, 101, 129, 104, 73, 103, 130, 102)(75, 105, 131, 111, 79, 110, 132, 106)(86, 117, 139, 120, 87, 119, 140, 118)(96, 124, 141, 128, 98, 127, 142, 125)(112, 134, 143, 138, 114, 137, 144, 135)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 161)(154, 165)(156, 169)(158, 173)(159, 175)(160, 177)(162, 181)(163, 183)(164, 185)(166, 189)(167, 190)(168, 192)(170, 196)(171, 198)(172, 200)(174, 204)(176, 205)(178, 209)(179, 210)(180, 212)(182, 197)(184, 216)(186, 217)(187, 208)(188, 218)(191, 219)(193, 223)(194, 224)(195, 226)(199, 230)(201, 231)(202, 222)(203, 232)(206, 235)(207, 221)(211, 240)(213, 242)(214, 243)(215, 229)(220, 251)(225, 256)(227, 258)(228, 259)(233, 264)(234, 252)(236, 250)(237, 255)(238, 262)(239, 253)(241, 261)(244, 263)(245, 257)(246, 254)(247, 260)(248, 249)(265, 278)(266, 281)(267, 277)(268, 275)(269, 283)(270, 280)(271, 276)(272, 284)(273, 279)(274, 282)(285, 287)(286, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2120
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.2120 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 130>)
Aut   = $<288, 873>$ (small group id <288, 873>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^-2 * T1 * T2^-2)^2, T2^-2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^3, T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 18, 162, 38, 182, 22, 166, 10, 154, 4, 148)(2, 146, 5, 149, 12, 156, 26, 170, 53, 197, 30, 174, 14, 158, 6, 150)(7, 151, 15, 159, 32, 176, 62, 206, 45, 189, 56, 200, 34, 178, 16, 160)(9, 153, 19, 163, 40, 184, 46, 190, 37, 181, 70, 214, 42, 186, 20, 164)(11, 155, 23, 167, 47, 191, 76, 220, 60, 204, 41, 185, 49, 193, 24, 168)(13, 157, 27, 171, 55, 199, 31, 175, 52, 196, 84, 228, 57, 201, 28, 172)(17, 161, 35, 179, 67, 211, 44, 188, 21, 165, 43, 187, 69, 213, 36, 180)(25, 169, 50, 194, 81, 225, 59, 203, 29, 173, 58, 202, 83, 227, 51, 195)(33, 177, 63, 207, 92, 236, 66, 210, 91, 235, 123, 267, 93, 237, 64, 208)(39, 183, 68, 212, 97, 241, 126, 270, 99, 243, 74, 218, 100, 244, 71, 215)(48, 192, 77, 221, 108, 252, 80, 224, 107, 251, 133, 277, 109, 253, 78, 222)(54, 198, 82, 226, 113, 257, 136, 280, 115, 259, 88, 232, 116, 260, 85, 229)(61, 205, 89, 233, 121, 265, 95, 239, 65, 209, 94, 238, 122, 266, 90, 234)(72, 216, 101, 245, 129, 273, 104, 248, 73, 217, 103, 247, 130, 274, 102, 246)(75, 219, 105, 249, 131, 275, 111, 255, 79, 223, 110, 254, 132, 276, 106, 250)(86, 230, 117, 261, 139, 283, 120, 264, 87, 231, 119, 263, 140, 284, 118, 262)(96, 240, 124, 268, 141, 285, 128, 272, 98, 242, 127, 271, 142, 286, 125, 269)(112, 256, 134, 278, 143, 287, 138, 282, 114, 258, 137, 281, 144, 288, 135, 279)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 161)(9, 148)(10, 165)(11, 149)(12, 169)(13, 150)(14, 173)(15, 175)(16, 177)(17, 152)(18, 181)(19, 183)(20, 185)(21, 154)(22, 189)(23, 190)(24, 192)(25, 156)(26, 196)(27, 198)(28, 200)(29, 158)(30, 204)(31, 159)(32, 205)(33, 160)(34, 209)(35, 210)(36, 212)(37, 162)(38, 197)(39, 163)(40, 216)(41, 164)(42, 217)(43, 208)(44, 218)(45, 166)(46, 167)(47, 219)(48, 168)(49, 223)(50, 224)(51, 226)(52, 170)(53, 182)(54, 171)(55, 230)(56, 172)(57, 231)(58, 222)(59, 232)(60, 174)(61, 176)(62, 235)(63, 221)(64, 187)(65, 178)(66, 179)(67, 240)(68, 180)(69, 242)(70, 243)(71, 229)(72, 184)(73, 186)(74, 188)(75, 191)(76, 251)(77, 207)(78, 202)(79, 193)(80, 194)(81, 256)(82, 195)(83, 258)(84, 259)(85, 215)(86, 199)(87, 201)(88, 203)(89, 264)(90, 252)(91, 206)(92, 250)(93, 255)(94, 262)(95, 253)(96, 211)(97, 261)(98, 213)(99, 214)(100, 263)(101, 257)(102, 254)(103, 260)(104, 249)(105, 248)(106, 236)(107, 220)(108, 234)(109, 239)(110, 246)(111, 237)(112, 225)(113, 245)(114, 227)(115, 228)(116, 247)(117, 241)(118, 238)(119, 244)(120, 233)(121, 278)(122, 281)(123, 277)(124, 275)(125, 283)(126, 280)(127, 276)(128, 284)(129, 279)(130, 282)(131, 268)(132, 271)(133, 267)(134, 265)(135, 273)(136, 270)(137, 266)(138, 274)(139, 269)(140, 272)(141, 287)(142, 288)(143, 285)(144, 286)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2119
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 144 f = 90
	degree seq :: [ 16^18 ]

E19.2121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 130>)
Aut   = $<288, 873>$ (small group id <288, 873>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1 * R * Y2 * R, Y2^8, (Y2^-2 * R * Y2^-2)^2, Y2 * Y1 * Y2^-3 * R * Y2^-1 * R * Y2 * Y1, (Y2^-2 * Y1 * Y2^-2)^2, (Y2 * Y1 * Y2^-1 * Y1)^3, (Y3 * Y2^-1)^8, Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * 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, 17, 161)(10, 154, 21, 165)(12, 156, 25, 169)(14, 158, 29, 173)(15, 159, 31, 175)(16, 160, 33, 177)(18, 162, 37, 181)(19, 163, 39, 183)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 46, 190)(24, 168, 48, 192)(26, 170, 52, 196)(27, 171, 54, 198)(28, 172, 56, 200)(30, 174, 60, 204)(32, 176, 61, 205)(34, 178, 65, 209)(35, 179, 66, 210)(36, 180, 68, 212)(38, 182, 53, 197)(40, 184, 72, 216)(42, 186, 73, 217)(43, 187, 64, 208)(44, 188, 74, 218)(47, 191, 75, 219)(49, 193, 79, 223)(50, 194, 80, 224)(51, 195, 82, 226)(55, 199, 86, 230)(57, 201, 87, 231)(58, 202, 78, 222)(59, 203, 88, 232)(62, 206, 91, 235)(63, 207, 77, 221)(67, 211, 96, 240)(69, 213, 98, 242)(70, 214, 99, 243)(71, 215, 85, 229)(76, 220, 107, 251)(81, 225, 112, 256)(83, 227, 114, 258)(84, 228, 115, 259)(89, 233, 120, 264)(90, 234, 108, 252)(92, 236, 106, 250)(93, 237, 111, 255)(94, 238, 118, 262)(95, 239, 109, 253)(97, 241, 117, 261)(100, 244, 119, 263)(101, 245, 113, 257)(102, 246, 110, 254)(103, 247, 116, 260)(104, 248, 105, 249)(121, 265, 134, 278)(122, 266, 137, 281)(123, 267, 133, 277)(124, 268, 131, 275)(125, 269, 139, 283)(126, 270, 136, 280)(127, 271, 132, 276)(128, 272, 140, 284)(129, 273, 135, 279)(130, 274, 138, 282)(141, 285, 143, 287)(142, 286, 144, 288)(289, 433, 291, 435, 296, 440, 306, 450, 326, 470, 310, 454, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 314, 458, 341, 485, 318, 462, 302, 446, 294, 438)(295, 439, 303, 447, 320, 464, 350, 494, 333, 477, 344, 488, 322, 466, 304, 448)(297, 441, 307, 451, 328, 472, 334, 478, 325, 469, 358, 502, 330, 474, 308, 452)(299, 443, 311, 455, 335, 479, 364, 508, 348, 492, 329, 473, 337, 481, 312, 456)(301, 445, 315, 459, 343, 487, 319, 463, 340, 484, 372, 516, 345, 489, 316, 460)(305, 449, 323, 467, 355, 499, 332, 476, 309, 453, 331, 475, 357, 501, 324, 468)(313, 457, 338, 482, 369, 513, 347, 491, 317, 461, 346, 490, 371, 515, 339, 483)(321, 465, 351, 495, 380, 524, 354, 498, 379, 523, 411, 555, 381, 525, 352, 496)(327, 471, 356, 500, 385, 529, 414, 558, 387, 531, 362, 506, 388, 532, 359, 503)(336, 480, 365, 509, 396, 540, 368, 512, 395, 539, 421, 565, 397, 541, 366, 510)(342, 486, 370, 514, 401, 545, 424, 568, 403, 547, 376, 520, 404, 548, 373, 517)(349, 493, 377, 521, 409, 553, 383, 527, 353, 497, 382, 526, 410, 554, 378, 522)(360, 504, 389, 533, 417, 561, 392, 536, 361, 505, 391, 535, 418, 562, 390, 534)(363, 507, 393, 537, 419, 563, 399, 543, 367, 511, 398, 542, 420, 564, 394, 538)(374, 518, 405, 549, 427, 571, 408, 552, 375, 519, 407, 551, 428, 572, 406, 550)(384, 528, 412, 556, 429, 573, 416, 560, 386, 530, 415, 559, 430, 574, 413, 557)(400, 544, 422, 566, 431, 575, 426, 570, 402, 546, 425, 569, 432, 576, 423, 567)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 313)(13, 294)(14, 317)(15, 319)(16, 321)(17, 296)(18, 325)(19, 327)(20, 329)(21, 298)(22, 333)(23, 334)(24, 336)(25, 300)(26, 340)(27, 342)(28, 344)(29, 302)(30, 348)(31, 303)(32, 349)(33, 304)(34, 353)(35, 354)(36, 356)(37, 306)(38, 341)(39, 307)(40, 360)(41, 308)(42, 361)(43, 352)(44, 362)(45, 310)(46, 311)(47, 363)(48, 312)(49, 367)(50, 368)(51, 370)(52, 314)(53, 326)(54, 315)(55, 374)(56, 316)(57, 375)(58, 366)(59, 376)(60, 318)(61, 320)(62, 379)(63, 365)(64, 331)(65, 322)(66, 323)(67, 384)(68, 324)(69, 386)(70, 387)(71, 373)(72, 328)(73, 330)(74, 332)(75, 335)(76, 395)(77, 351)(78, 346)(79, 337)(80, 338)(81, 400)(82, 339)(83, 402)(84, 403)(85, 359)(86, 343)(87, 345)(88, 347)(89, 408)(90, 396)(91, 350)(92, 394)(93, 399)(94, 406)(95, 397)(96, 355)(97, 405)(98, 357)(99, 358)(100, 407)(101, 401)(102, 398)(103, 404)(104, 393)(105, 392)(106, 380)(107, 364)(108, 378)(109, 383)(110, 390)(111, 381)(112, 369)(113, 389)(114, 371)(115, 372)(116, 391)(117, 385)(118, 382)(119, 388)(120, 377)(121, 422)(122, 425)(123, 421)(124, 419)(125, 427)(126, 424)(127, 420)(128, 428)(129, 423)(130, 426)(131, 412)(132, 415)(133, 411)(134, 409)(135, 417)(136, 414)(137, 410)(138, 418)(139, 413)(140, 416)(141, 431)(142, 432)(143, 429)(144, 430)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.2122
Graph:: bipartite
	v = 90 e = 288 f = 162
	degree seq :: [ 4^72, 16^18 ]

E19.2122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 130>)
Aut   = $<288, 873>$ (small group id <288, 873>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^8, (Y1^-2 * Y3 * Y1^-2)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^3 * Y3 * Y1^-1 * Y3, (Y1 * Y3 * Y1^-1 * Y3)^3, Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2 ]
Map::
	R = (1, 145, 2, 146, 5, 149, 11, 155, 23, 167, 22, 166, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 31, 175, 46, 190, 38, 182, 18, 162, 8, 152)(6, 150, 13, 157, 27, 171, 53, 197, 45, 189, 60, 204, 30, 174, 14, 158)(9, 153, 19, 163, 39, 183, 48, 192, 24, 168, 47, 191, 42, 186, 20, 164)(12, 156, 25, 169, 49, 193, 44, 188, 21, 165, 43, 187, 52, 196, 26, 170)(16, 160, 33, 177, 63, 207, 93, 237, 70, 214, 41, 185, 65, 209, 34, 178)(17, 161, 35, 179, 56, 200, 28, 172, 55, 199, 83, 227, 67, 211, 36, 180)(29, 173, 57, 201, 78, 222, 50, 194, 77, 221, 108, 252, 86, 230, 58, 202)(32, 176, 61, 205, 89, 233, 69, 213, 37, 181, 68, 212, 92, 236, 62, 206)(40, 184, 51, 195, 79, 223, 105, 249, 75, 219, 74, 218, 102, 246, 72, 216)(54, 198, 81, 225, 113, 257, 88, 232, 59, 203, 87, 231, 116, 260, 82, 226)(64, 208, 85, 229, 115, 259, 90, 234, 122, 266, 136, 280, 120, 264, 95, 239)(66, 210, 91, 235, 123, 267, 131, 275, 117, 261, 99, 243, 127, 271, 97, 241)(71, 215, 100, 244, 129, 273, 104, 248, 73, 217, 103, 247, 130, 274, 101, 245)(76, 220, 106, 250, 132, 276, 112, 256, 80, 224, 111, 255, 135, 279, 107, 251)(84, 228, 110, 254, 134, 278, 114, 258, 98, 242, 128, 272, 138, 282, 118, 262)(94, 238, 125, 269, 133, 277, 119, 263, 96, 240, 126, 270, 137, 281, 109, 253)(121, 265, 139, 283, 143, 287, 142, 286, 124, 268, 140, 284, 144, 288, 141, 285)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 294)(3, 289)(4, 297)(5, 300)(6, 290)(7, 304)(8, 305)(9, 292)(10, 309)(11, 312)(12, 293)(13, 316)(14, 317)(15, 320)(16, 295)(17, 296)(18, 325)(19, 328)(20, 329)(21, 298)(22, 333)(23, 334)(24, 299)(25, 338)(26, 339)(27, 342)(28, 301)(29, 302)(30, 347)(31, 343)(32, 303)(33, 336)(34, 352)(35, 354)(36, 348)(37, 306)(38, 358)(39, 359)(40, 307)(41, 308)(42, 361)(43, 346)(44, 362)(45, 310)(46, 311)(47, 363)(48, 321)(49, 364)(50, 313)(51, 314)(52, 368)(53, 365)(54, 315)(55, 319)(56, 372)(57, 373)(58, 331)(59, 318)(60, 324)(61, 378)(62, 379)(63, 382)(64, 322)(65, 384)(66, 323)(67, 386)(68, 383)(69, 387)(70, 326)(71, 327)(72, 385)(73, 330)(74, 332)(75, 335)(76, 337)(77, 341)(78, 397)(79, 398)(80, 340)(81, 402)(82, 403)(83, 405)(84, 344)(85, 345)(86, 407)(87, 406)(88, 408)(89, 409)(90, 349)(91, 350)(92, 412)(93, 410)(94, 351)(95, 356)(96, 353)(97, 360)(98, 355)(99, 357)(100, 411)(101, 414)(102, 416)(103, 415)(104, 413)(105, 419)(106, 421)(107, 422)(108, 424)(109, 366)(110, 367)(111, 425)(112, 426)(113, 427)(114, 369)(115, 370)(116, 428)(117, 371)(118, 375)(119, 374)(120, 376)(121, 377)(122, 381)(123, 388)(124, 380)(125, 392)(126, 389)(127, 391)(128, 390)(129, 429)(130, 430)(131, 393)(132, 431)(133, 394)(134, 395)(135, 432)(136, 396)(137, 399)(138, 400)(139, 401)(140, 404)(141, 417)(142, 418)(143, 420)(144, 423)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.2121
Graph:: simple bipartite
	v = 162 e = 288 f = 90
	degree seq :: [ 2^144, 16^18 ]

E19.2123 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 131>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, T1^-1 * T2 * T1^4 * T2 * T1^-3, T1 * T2 * T1^-3 * T2 * T1 * T2 * T1 * T2, T1^2 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2, T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 63, 93, 70, 41, 65, 34)(17, 35, 56, 28, 55, 83, 67, 36)(29, 57, 78, 50, 77, 110, 86, 58)(32, 61, 89, 69, 37, 68, 92, 62)(40, 51, 79, 107, 75, 74, 104, 72)(54, 81, 115, 88, 59, 87, 118, 82)(64, 95, 124, 90, 122, 85, 117, 96)(66, 91, 126, 103, 119, 100, 130, 98)(71, 101, 131, 106, 73, 105, 132, 102)(76, 108, 133, 114, 80, 113, 136, 109)(84, 120, 138, 116, 99, 112, 135, 121)(94, 128, 137, 111, 97, 129, 134, 123)(125, 140, 143, 142, 127, 139, 144, 141)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 55)(33, 48)(34, 64)(35, 66)(36, 60)(38, 70)(39, 71)(42, 73)(43, 58)(44, 74)(47, 75)(49, 76)(52, 80)(53, 77)(56, 84)(57, 85)(61, 90)(62, 91)(63, 94)(65, 97)(67, 99)(68, 96)(69, 100)(72, 103)(78, 111)(79, 112)(81, 116)(82, 117)(83, 119)(86, 123)(87, 121)(88, 124)(89, 125)(92, 127)(93, 122)(95, 110)(98, 107)(101, 130)(102, 129)(104, 120)(105, 126)(106, 128)(108, 134)(109, 135)(113, 137)(114, 138)(115, 139)(118, 140)(131, 142)(132, 141)(133, 143)(136, 144)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.2124 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 131>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^-2 * T1 * T2^-2)^2, T2 * T1 * T2 * T1 * T2^-3 * T1 * T2 * T1, T1 * T2 * T1 * T2^3 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1, T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 ]
Map::
	R = (1, 3, 8, 18, 38, 22, 10, 4)(2, 5, 12, 26, 53, 30, 14, 6)(7, 15, 32, 62, 45, 56, 34, 16)(9, 19, 40, 46, 37, 70, 42, 20)(11, 23, 47, 76, 60, 41, 49, 24)(13, 27, 55, 31, 52, 84, 57, 28)(17, 35, 67, 44, 21, 43, 69, 36)(25, 50, 81, 59, 29, 58, 83, 51)(33, 63, 93, 66, 91, 110, 94, 64)(39, 68, 98, 119, 100, 74, 102, 71)(48, 77, 111, 80, 109, 92, 112, 78)(54, 82, 116, 101, 118, 88, 120, 85)(61, 89, 125, 96, 65, 95, 126, 90)(72, 103, 131, 106, 73, 105, 132, 104)(75, 107, 133, 114, 79, 113, 134, 108)(86, 121, 139, 124, 87, 123, 140, 122)(97, 127, 141, 130, 99, 129, 142, 128)(115, 135, 143, 138, 117, 137, 144, 136)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 161)(154, 165)(156, 169)(158, 173)(159, 175)(160, 177)(162, 181)(163, 183)(164, 185)(166, 189)(167, 190)(168, 192)(170, 196)(171, 198)(172, 200)(174, 204)(176, 205)(178, 209)(179, 210)(180, 212)(182, 197)(184, 216)(186, 217)(187, 208)(188, 218)(191, 219)(193, 223)(194, 224)(195, 226)(199, 230)(201, 231)(202, 222)(203, 232)(206, 235)(207, 236)(211, 241)(213, 243)(214, 244)(215, 245)(220, 253)(221, 254)(225, 259)(227, 261)(228, 262)(229, 263)(233, 268)(234, 256)(237, 258)(238, 252)(239, 266)(240, 255)(242, 267)(246, 265)(247, 264)(248, 257)(249, 260)(250, 251)(269, 281)(270, 279)(271, 278)(272, 284)(273, 277)(274, 283)(275, 282)(276, 280)(285, 287)(286, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2125
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.2125 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 131>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^-2 * T1 * T2^-2)^2, T2 * T1 * T2 * T1 * T2^-3 * T1 * T2 * T1, T1 * T2 * T1 * T2^3 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1, T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 18, 162, 38, 182, 22, 166, 10, 154, 4, 148)(2, 146, 5, 149, 12, 156, 26, 170, 53, 197, 30, 174, 14, 158, 6, 150)(7, 151, 15, 159, 32, 176, 62, 206, 45, 189, 56, 200, 34, 178, 16, 160)(9, 153, 19, 163, 40, 184, 46, 190, 37, 181, 70, 214, 42, 186, 20, 164)(11, 155, 23, 167, 47, 191, 76, 220, 60, 204, 41, 185, 49, 193, 24, 168)(13, 157, 27, 171, 55, 199, 31, 175, 52, 196, 84, 228, 57, 201, 28, 172)(17, 161, 35, 179, 67, 211, 44, 188, 21, 165, 43, 187, 69, 213, 36, 180)(25, 169, 50, 194, 81, 225, 59, 203, 29, 173, 58, 202, 83, 227, 51, 195)(33, 177, 63, 207, 93, 237, 66, 210, 91, 235, 110, 254, 94, 238, 64, 208)(39, 183, 68, 212, 98, 242, 119, 263, 100, 244, 74, 218, 102, 246, 71, 215)(48, 192, 77, 221, 111, 255, 80, 224, 109, 253, 92, 236, 112, 256, 78, 222)(54, 198, 82, 226, 116, 260, 101, 245, 118, 262, 88, 232, 120, 264, 85, 229)(61, 205, 89, 233, 125, 269, 96, 240, 65, 209, 95, 239, 126, 270, 90, 234)(72, 216, 103, 247, 131, 275, 106, 250, 73, 217, 105, 249, 132, 276, 104, 248)(75, 219, 107, 251, 133, 277, 114, 258, 79, 223, 113, 257, 134, 278, 108, 252)(86, 230, 121, 265, 139, 283, 124, 268, 87, 231, 123, 267, 140, 284, 122, 266)(97, 241, 127, 271, 141, 285, 130, 274, 99, 243, 129, 273, 142, 286, 128, 272)(115, 259, 135, 279, 143, 287, 138, 282, 117, 261, 137, 281, 144, 288, 136, 280)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 161)(9, 148)(10, 165)(11, 149)(12, 169)(13, 150)(14, 173)(15, 175)(16, 177)(17, 152)(18, 181)(19, 183)(20, 185)(21, 154)(22, 189)(23, 190)(24, 192)(25, 156)(26, 196)(27, 198)(28, 200)(29, 158)(30, 204)(31, 159)(32, 205)(33, 160)(34, 209)(35, 210)(36, 212)(37, 162)(38, 197)(39, 163)(40, 216)(41, 164)(42, 217)(43, 208)(44, 218)(45, 166)(46, 167)(47, 219)(48, 168)(49, 223)(50, 224)(51, 226)(52, 170)(53, 182)(54, 171)(55, 230)(56, 172)(57, 231)(58, 222)(59, 232)(60, 174)(61, 176)(62, 235)(63, 236)(64, 187)(65, 178)(66, 179)(67, 241)(68, 180)(69, 243)(70, 244)(71, 245)(72, 184)(73, 186)(74, 188)(75, 191)(76, 253)(77, 254)(78, 202)(79, 193)(80, 194)(81, 259)(82, 195)(83, 261)(84, 262)(85, 263)(86, 199)(87, 201)(88, 203)(89, 268)(90, 256)(91, 206)(92, 207)(93, 258)(94, 252)(95, 266)(96, 255)(97, 211)(98, 267)(99, 213)(100, 214)(101, 215)(102, 265)(103, 264)(104, 257)(105, 260)(106, 251)(107, 250)(108, 238)(109, 220)(110, 221)(111, 240)(112, 234)(113, 248)(114, 237)(115, 225)(116, 249)(117, 227)(118, 228)(119, 229)(120, 247)(121, 246)(122, 239)(123, 242)(124, 233)(125, 281)(126, 279)(127, 278)(128, 284)(129, 277)(130, 283)(131, 282)(132, 280)(133, 273)(134, 271)(135, 270)(136, 276)(137, 269)(138, 275)(139, 274)(140, 272)(141, 287)(142, 288)(143, 285)(144, 286)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2124
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 144 f = 90
	degree seq :: [ 16^18 ]

E19.2126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 131>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^8, Y2^-2 * Y1 * R * Y2^-3 * R * Y1 * Y2^-1, (Y2^-2 * R * Y2^-2)^2, (Y2^-2 * Y1 * Y2^-2)^2, Y2 * Y1 * Y2 * Y1 * Y2^-3 * Y1 * Y2 * Y1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^3 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^8, Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * 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, 17, 161)(10, 154, 21, 165)(12, 156, 25, 169)(14, 158, 29, 173)(15, 159, 31, 175)(16, 160, 33, 177)(18, 162, 37, 181)(19, 163, 39, 183)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 46, 190)(24, 168, 48, 192)(26, 170, 52, 196)(27, 171, 54, 198)(28, 172, 56, 200)(30, 174, 60, 204)(32, 176, 61, 205)(34, 178, 65, 209)(35, 179, 66, 210)(36, 180, 68, 212)(38, 182, 53, 197)(40, 184, 72, 216)(42, 186, 73, 217)(43, 187, 64, 208)(44, 188, 74, 218)(47, 191, 75, 219)(49, 193, 79, 223)(50, 194, 80, 224)(51, 195, 82, 226)(55, 199, 86, 230)(57, 201, 87, 231)(58, 202, 78, 222)(59, 203, 88, 232)(62, 206, 91, 235)(63, 207, 92, 236)(67, 211, 97, 241)(69, 213, 99, 243)(70, 214, 100, 244)(71, 215, 101, 245)(76, 220, 109, 253)(77, 221, 110, 254)(81, 225, 115, 259)(83, 227, 117, 261)(84, 228, 118, 262)(85, 229, 119, 263)(89, 233, 124, 268)(90, 234, 112, 256)(93, 237, 114, 258)(94, 238, 108, 252)(95, 239, 122, 266)(96, 240, 111, 255)(98, 242, 123, 267)(102, 246, 121, 265)(103, 247, 120, 264)(104, 248, 113, 257)(105, 249, 116, 260)(106, 250, 107, 251)(125, 269, 137, 281)(126, 270, 135, 279)(127, 271, 134, 278)(128, 272, 140, 284)(129, 273, 133, 277)(130, 274, 139, 283)(131, 275, 138, 282)(132, 276, 136, 280)(141, 285, 143, 287)(142, 286, 144, 288)(289, 433, 291, 435, 296, 440, 306, 450, 326, 470, 310, 454, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 314, 458, 341, 485, 318, 462, 302, 446, 294, 438)(295, 439, 303, 447, 320, 464, 350, 494, 333, 477, 344, 488, 322, 466, 304, 448)(297, 441, 307, 451, 328, 472, 334, 478, 325, 469, 358, 502, 330, 474, 308, 452)(299, 443, 311, 455, 335, 479, 364, 508, 348, 492, 329, 473, 337, 481, 312, 456)(301, 445, 315, 459, 343, 487, 319, 463, 340, 484, 372, 516, 345, 489, 316, 460)(305, 449, 323, 467, 355, 499, 332, 476, 309, 453, 331, 475, 357, 501, 324, 468)(313, 457, 338, 482, 369, 513, 347, 491, 317, 461, 346, 490, 371, 515, 339, 483)(321, 465, 351, 495, 381, 525, 354, 498, 379, 523, 398, 542, 382, 526, 352, 496)(327, 471, 356, 500, 386, 530, 407, 551, 388, 532, 362, 506, 390, 534, 359, 503)(336, 480, 365, 509, 399, 543, 368, 512, 397, 541, 380, 524, 400, 544, 366, 510)(342, 486, 370, 514, 404, 548, 389, 533, 406, 550, 376, 520, 408, 552, 373, 517)(349, 493, 377, 521, 413, 557, 384, 528, 353, 497, 383, 527, 414, 558, 378, 522)(360, 504, 391, 535, 419, 563, 394, 538, 361, 505, 393, 537, 420, 564, 392, 536)(363, 507, 395, 539, 421, 565, 402, 546, 367, 511, 401, 545, 422, 566, 396, 540)(374, 518, 409, 553, 427, 571, 412, 556, 375, 519, 411, 555, 428, 572, 410, 554)(385, 529, 415, 559, 429, 573, 418, 562, 387, 531, 417, 561, 430, 574, 416, 560)(403, 547, 423, 567, 431, 575, 426, 570, 405, 549, 425, 569, 432, 576, 424, 568)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 313)(13, 294)(14, 317)(15, 319)(16, 321)(17, 296)(18, 325)(19, 327)(20, 329)(21, 298)(22, 333)(23, 334)(24, 336)(25, 300)(26, 340)(27, 342)(28, 344)(29, 302)(30, 348)(31, 303)(32, 349)(33, 304)(34, 353)(35, 354)(36, 356)(37, 306)(38, 341)(39, 307)(40, 360)(41, 308)(42, 361)(43, 352)(44, 362)(45, 310)(46, 311)(47, 363)(48, 312)(49, 367)(50, 368)(51, 370)(52, 314)(53, 326)(54, 315)(55, 374)(56, 316)(57, 375)(58, 366)(59, 376)(60, 318)(61, 320)(62, 379)(63, 380)(64, 331)(65, 322)(66, 323)(67, 385)(68, 324)(69, 387)(70, 388)(71, 389)(72, 328)(73, 330)(74, 332)(75, 335)(76, 397)(77, 398)(78, 346)(79, 337)(80, 338)(81, 403)(82, 339)(83, 405)(84, 406)(85, 407)(86, 343)(87, 345)(88, 347)(89, 412)(90, 400)(91, 350)(92, 351)(93, 402)(94, 396)(95, 410)(96, 399)(97, 355)(98, 411)(99, 357)(100, 358)(101, 359)(102, 409)(103, 408)(104, 401)(105, 404)(106, 395)(107, 394)(108, 382)(109, 364)(110, 365)(111, 384)(112, 378)(113, 392)(114, 381)(115, 369)(116, 393)(117, 371)(118, 372)(119, 373)(120, 391)(121, 390)(122, 383)(123, 386)(124, 377)(125, 425)(126, 423)(127, 422)(128, 428)(129, 421)(130, 427)(131, 426)(132, 424)(133, 417)(134, 415)(135, 414)(136, 420)(137, 413)(138, 419)(139, 418)(140, 416)(141, 431)(142, 432)(143, 429)(144, 430)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.2127
Graph:: bipartite
	v = 90 e = 288 f = 162
	degree seq :: [ 4^72, 16^18 ]

E19.2127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 131>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^8, (Y1^-2 * Y3 * Y1^-2)^2, Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1, Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2 ]
Map::
	R = (1, 145, 2, 146, 5, 149, 11, 155, 23, 167, 22, 166, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 31, 175, 46, 190, 38, 182, 18, 162, 8, 152)(6, 150, 13, 157, 27, 171, 53, 197, 45, 189, 60, 204, 30, 174, 14, 158)(9, 153, 19, 163, 39, 183, 48, 192, 24, 168, 47, 191, 42, 186, 20, 164)(12, 156, 25, 169, 49, 193, 44, 188, 21, 165, 43, 187, 52, 196, 26, 170)(16, 160, 33, 177, 63, 207, 93, 237, 70, 214, 41, 185, 65, 209, 34, 178)(17, 161, 35, 179, 56, 200, 28, 172, 55, 199, 83, 227, 67, 211, 36, 180)(29, 173, 57, 201, 78, 222, 50, 194, 77, 221, 110, 254, 86, 230, 58, 202)(32, 176, 61, 205, 89, 233, 69, 213, 37, 181, 68, 212, 92, 236, 62, 206)(40, 184, 51, 195, 79, 223, 107, 251, 75, 219, 74, 218, 104, 248, 72, 216)(54, 198, 81, 225, 115, 259, 88, 232, 59, 203, 87, 231, 118, 262, 82, 226)(64, 208, 95, 239, 124, 268, 90, 234, 122, 266, 85, 229, 117, 261, 96, 240)(66, 210, 91, 235, 126, 270, 103, 247, 119, 263, 100, 244, 130, 274, 98, 242)(71, 215, 101, 245, 131, 275, 106, 250, 73, 217, 105, 249, 132, 276, 102, 246)(76, 220, 108, 252, 133, 277, 114, 258, 80, 224, 113, 257, 136, 280, 109, 253)(84, 228, 120, 264, 138, 282, 116, 260, 99, 243, 112, 256, 135, 279, 121, 265)(94, 238, 128, 272, 137, 281, 111, 255, 97, 241, 129, 273, 134, 278, 123, 267)(125, 269, 140, 284, 143, 287, 142, 286, 127, 271, 139, 283, 144, 288, 141, 285)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 294)(3, 289)(4, 297)(5, 300)(6, 290)(7, 304)(8, 305)(9, 292)(10, 309)(11, 312)(12, 293)(13, 316)(14, 317)(15, 320)(16, 295)(17, 296)(18, 325)(19, 328)(20, 329)(21, 298)(22, 333)(23, 334)(24, 299)(25, 338)(26, 339)(27, 342)(28, 301)(29, 302)(30, 347)(31, 343)(32, 303)(33, 336)(34, 352)(35, 354)(36, 348)(37, 306)(38, 358)(39, 359)(40, 307)(41, 308)(42, 361)(43, 346)(44, 362)(45, 310)(46, 311)(47, 363)(48, 321)(49, 364)(50, 313)(51, 314)(52, 368)(53, 365)(54, 315)(55, 319)(56, 372)(57, 373)(58, 331)(59, 318)(60, 324)(61, 378)(62, 379)(63, 382)(64, 322)(65, 385)(66, 323)(67, 387)(68, 384)(69, 388)(70, 326)(71, 327)(72, 391)(73, 330)(74, 332)(75, 335)(76, 337)(77, 341)(78, 399)(79, 400)(80, 340)(81, 404)(82, 405)(83, 407)(84, 344)(85, 345)(86, 411)(87, 409)(88, 412)(89, 413)(90, 349)(91, 350)(92, 415)(93, 410)(94, 351)(95, 398)(96, 356)(97, 353)(98, 395)(99, 355)(100, 357)(101, 418)(102, 417)(103, 360)(104, 408)(105, 414)(106, 416)(107, 386)(108, 422)(109, 423)(110, 383)(111, 366)(112, 367)(113, 425)(114, 426)(115, 427)(116, 369)(117, 370)(118, 428)(119, 371)(120, 392)(121, 375)(122, 381)(123, 374)(124, 376)(125, 377)(126, 393)(127, 380)(128, 394)(129, 390)(130, 389)(131, 430)(132, 429)(133, 431)(134, 396)(135, 397)(136, 432)(137, 401)(138, 402)(139, 403)(140, 406)(141, 420)(142, 419)(143, 421)(144, 424)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.2126
Graph:: simple bipartite
	v = 162 e = 288 f = 90
	degree seq :: [ 2^144, 16^18 ]

E19.2128 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 8, 8})
Quotient :: halfedge
Aut^+ = C2 x ((C3 x C3) : C8) (small group id <144, 185>)
Aut   = C2 x ((C3 x C3) : C8) (small group id <144, 185>)
|r| :: 1
Presentation :: [ X2^2, X1^8, X2 * X1^-1 * X2 * X1^-2 * X2 * X1^2 * X2 * X1, X2 * X1 * X2 * X1^-1 * X2 * X1^-2 * X2 * X1^2, X2 * X1^3 * X2 * X1^-1 * X2 * X1 * X2 * X1^-3, X1^-1 * X2 * X1^-4 * X2 * X1^-2 * X2 * X1^-1 * X2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 61, 38, 18, 8)(6, 13, 27, 53, 98, 60, 30, 14)(9, 19, 39, 74, 113, 79, 42, 20)(12, 25, 49, 91, 70, 97, 52, 26)(16, 33, 64, 112, 130, 108, 67, 34)(17, 35, 68, 100, 54, 88, 71, 36)(21, 43, 66, 105, 138, 123, 82, 44)(24, 47, 87, 126, 106, 129, 90, 48)(28, 55, 101, 81, 122, 134, 103, 56)(29, 57, 104, 131, 92, 72, 37, 58)(32, 50, 93, 78, 41, 77, 111, 63)(40, 75, 119, 125, 99, 73, 118, 76)(45, 83, 117, 69, 116, 136, 102, 84)(46, 85, 124, 120, 133, 114, 65, 86)(51, 94, 132, 141, 127, 107, 59, 95)(62, 109, 139, 121, 80, 96, 128, 89)(110, 135, 142, 144, 143, 140, 115, 137)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 62)(33, 65)(34, 66)(35, 69)(36, 70)(38, 73)(39, 56)(42, 71)(43, 80)(44, 81)(47, 88)(48, 89)(49, 92)(52, 96)(53, 99)(55, 102)(57, 105)(58, 106)(60, 108)(61, 101)(63, 110)(64, 113)(67, 115)(68, 114)(72, 85)(74, 94)(75, 90)(76, 117)(77, 120)(78, 98)(79, 109)(82, 93)(83, 107)(84, 112)(86, 125)(87, 127)(91, 130)(95, 133)(97, 134)(100, 135)(103, 137)(104, 136)(111, 129)(116, 128)(118, 140)(119, 138)(121, 124)(122, 126)(123, 132)(131, 142)(139, 143)(141, 144)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: chiral positively-selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 18 e = 72 f = 18
	degree seq :: [ 8^18 ]

E19.2129 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = C2 x ((C3 x C3) : C8) (small group id <144, 185>)
Aut   = C2 x ((C3 x C3) : C8) (small group id <144, 185>)
|r| :: 1
Presentation :: [ X1^2, X2^8, X1 * X2 * X1 * X2^-1 * X1 * X2^-2 * X1 * X2^2, (X2 * X1 * X2^-1 * X1)^3, (X2 * X1 * X2)^4, (X2^-1 * X1 * X2^-1 * X1 * X2^-2)^2 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 25)(14, 29)(15, 31)(16, 33)(18, 37)(19, 39)(20, 41)(22, 45)(23, 46)(24, 48)(26, 52)(27, 54)(28, 56)(30, 60)(32, 63)(34, 66)(35, 50)(36, 69)(38, 73)(40, 62)(42, 57)(43, 80)(44, 81)(47, 87)(49, 90)(51, 93)(53, 97)(55, 86)(58, 104)(59, 105)(61, 109)(64, 108)(65, 89)(67, 91)(68, 106)(70, 116)(71, 103)(72, 96)(74, 118)(75, 99)(76, 115)(77, 120)(78, 111)(79, 95)(82, 92)(83, 114)(84, 88)(85, 124)(94, 131)(98, 133)(100, 130)(101, 135)(102, 126)(107, 129)(110, 128)(112, 134)(113, 125)(117, 139)(119, 127)(121, 137)(122, 136)(123, 140)(132, 141)(138, 142)(143, 144)(145, 147, 152, 162, 182, 166, 154, 148)(146, 149, 156, 170, 197, 174, 158, 150)(151, 159, 176, 208, 255, 211, 178, 160)(153, 163, 184, 220, 231, 223, 186, 164)(155, 167, 191, 232, 270, 235, 193, 168)(157, 171, 199, 244, 207, 247, 201, 172)(161, 179, 212, 246, 200, 245, 214, 180)(165, 187, 192, 233, 271, 267, 226, 188)(169, 194, 236, 222, 185, 221, 238, 195)(173, 202, 177, 209, 256, 282, 250, 203)(175, 205, 241, 225, 266, 279, 254, 206)(181, 215, 261, 280, 248, 275, 262, 216)(183, 218, 263, 268, 252, 204, 251, 219)(189, 227, 243, 198, 242, 278, 253, 228)(190, 229, 217, 249, 281, 264, 269, 230)(196, 239, 276, 265, 224, 260, 277, 240)(210, 257, 213, 259, 284, 287, 283, 258)(234, 272, 237, 274, 286, 288, 285, 273)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: chiral
Dual of E19.2130
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 144 f = 18
	degree seq :: [ 2^72, 8^18 ]

E19.2130 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = C2 x ((C3 x C3) : C8) (small group id <144, 185>)
Aut   = C2 x ((C3 x C3) : C8) (small group id <144, 185>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, X1^-2 * X2^-1 * X1 * X2^-2 * X1^-1 * X2, (X2^-1 * X1)^4, X2^8, X1^8, X2^3 * X1^-3 * X2 * X1^-1 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 40, 184, 34, 178, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 57, 201, 99, 243, 67, 211, 29, 173, 11, 155)(5, 149, 14, 158, 35, 179, 71, 215, 95, 239, 51, 195, 20, 164, 7, 151)(8, 152, 21, 165, 52, 196, 26, 170, 63, 207, 87, 231, 44, 188, 17, 161)(10, 154, 25, 169, 61, 205, 107, 251, 75, 219, 37, 181, 46, 190, 27, 171)(12, 156, 30, 174, 68, 212, 112, 256, 126, 270, 105, 249, 65, 209, 32, 176)(15, 159, 38, 182, 73, 217, 93, 237, 128, 272, 110, 254, 76, 220, 36, 180)(18, 162, 45, 189, 88, 232, 48, 192, 92, 236, 122, 266, 81, 225, 41, 185)(19, 163, 47, 191, 90, 234, 130, 274, 96, 240, 54, 198, 28, 172, 49, 193)(22, 166, 55, 199, 31, 175, 70, 214, 115, 259, 133, 277, 97, 241, 53, 197)(24, 168, 59, 203, 103, 247, 64, 208, 94, 238, 134, 278, 102, 246, 58, 202)(33, 177, 72, 216, 101, 245, 131, 275, 91, 235, 132, 276, 98, 242, 56, 200)(39, 183, 74, 218, 79, 223, 119, 263, 108, 252, 62, 206, 109, 253, 77, 221)(42, 186, 82, 226, 123, 267, 84, 228, 127, 271, 104, 248, 60, 204, 78, 222)(43, 187, 83, 227, 125, 269, 141, 285, 129, 273, 89, 233, 50, 194, 85, 229)(66, 210, 111, 255, 139, 283, 113, 257, 69, 213, 114, 258, 118, 262, 106, 250)(80, 224, 120, 264, 100, 244, 137, 281, 140, 284, 124, 268, 86, 230, 121, 265)(116, 260, 135, 279, 142, 286, 144, 288, 143, 287, 138, 282, 117, 261, 136, 280)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 163)(8, 146)(9, 148)(10, 170)(11, 172)(12, 175)(13, 177)(14, 180)(15, 149)(16, 185)(17, 187)(18, 150)(19, 192)(20, 194)(21, 197)(22, 152)(23, 202)(24, 153)(25, 155)(26, 208)(27, 209)(28, 186)(29, 210)(30, 157)(31, 215)(32, 190)(33, 217)(34, 218)(35, 219)(36, 212)(37, 158)(38, 221)(39, 159)(40, 222)(41, 224)(42, 160)(43, 228)(44, 230)(45, 181)(46, 162)(47, 164)(48, 237)(49, 173)(50, 223)(51, 238)(52, 240)(53, 167)(54, 165)(55, 242)(56, 166)(57, 241)(58, 245)(59, 248)(60, 168)(61, 252)(62, 169)(63, 171)(64, 183)(65, 244)(66, 179)(67, 182)(68, 257)(69, 174)(70, 176)(71, 250)(72, 178)(73, 243)(74, 247)(75, 260)(76, 261)(77, 234)(78, 262)(79, 184)(80, 206)(81, 213)(82, 198)(83, 188)(84, 214)(85, 195)(86, 216)(87, 272)(88, 273)(89, 189)(90, 275)(91, 191)(92, 193)(93, 200)(94, 196)(95, 199)(96, 279)(97, 280)(98, 269)(99, 264)(100, 201)(101, 268)(102, 282)(103, 270)(104, 205)(105, 203)(106, 204)(107, 271)(108, 283)(109, 265)(110, 207)(111, 211)(112, 220)(113, 263)(114, 266)(115, 267)(116, 277)(117, 278)(118, 235)(119, 233)(120, 225)(121, 231)(122, 259)(123, 284)(124, 226)(125, 256)(126, 227)(127, 229)(128, 232)(129, 286)(130, 253)(131, 246)(132, 258)(133, 236)(134, 239)(135, 251)(136, 254)(137, 249)(138, 255)(139, 287)(140, 288)(141, 276)(142, 274)(143, 281)(144, 285)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Dual of E19.2129
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 18 e = 144 f = 90
	degree seq :: [ 16^18 ]

E19.2131 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 12})
Quotient :: edge
Aut^+ = C3 x ((C4 x C4) : C3) (small group id <144, 68>)
Aut   = $<288, 401>$ (small group id <288, 401>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^3, (T2^-1 * T1)^3, (T2^-1 * T1^-1)^3, T1^-1 * T2^4 * T1 * T2^-4, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 54, 99, 138, 121, 75, 37, 15, 5)(2, 6, 17, 40, 80, 127, 141, 133, 91, 47, 21, 7)(4, 11, 29, 61, 100, 137, 136, 135, 116, 66, 32, 12)(8, 22, 48, 92, 134, 110, 118, 120, 73, 94, 50, 23)(10, 19, 43, 85, 126, 79, 117, 119, 74, 106, 58, 27)(13, 33, 68, 98, 53, 97, 105, 115, 144, 112, 63, 30)(14, 34, 69, 101, 55, 95, 93, 89, 123, 77, 38, 16)(18, 31, 57, 102, 139, 109, 131, 132, 90, 130, 83, 42)(20, 44, 86, 128, 81, 124, 122, 114, 142, 107, 59, 28)(24, 51, 65, 113, 143, 111, 62, 70, 35, 71, 96, 52)(26, 49, 45, 87, 125, 78, 39, 67, 36, 72, 103, 56)(41, 76, 64, 104, 140, 108, 60, 84, 46, 88, 129, 82)(145, 146, 148)(147, 152, 154)(149, 157, 158)(150, 160, 162)(151, 163, 164)(153, 168, 170)(155, 172, 174)(156, 175, 166)(159, 179, 180)(161, 183, 185)(165, 189, 190)(167, 193, 188)(169, 197, 199)(171, 201, 195)(173, 204, 206)(176, 208, 209)(177, 211, 186)(178, 203, 214)(181, 217, 218)(182, 220, 192)(184, 223, 225)(187, 228, 207)(191, 233, 234)(194, 237, 232)(196, 239, 230)(198, 224, 244)(200, 246, 241)(202, 248, 249)(205, 253, 254)(210, 258, 259)(212, 261, 226)(213, 252, 262)(215, 263, 227)(216, 251, 264)(219, 235, 260)(221, 266, 257)(222, 268, 236)(229, 275, 255)(231, 276, 256)(238, 279, 274)(240, 280, 273)(242, 281, 272)(243, 278, 270)(245, 283, 271)(247, 284, 285)(250, 286, 277)(265, 288, 267)(269, 282, 287)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6^3 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2132
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 144 f = 48
	degree seq :: [ 3^48, 12^12 ]

E19.2132 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 12})
Quotient :: loop
Aut^+ = C3 x ((C4 x C4) : C3) (small group id <144, 68>)
Aut   = $<288, 401>$ (small group id <288, 401>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^3, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1)^2, (T2^-1 * T1^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147, 5, 149)(2, 146, 6, 150, 7, 151)(4, 148, 10, 154, 11, 155)(8, 152, 18, 162, 19, 163)(9, 153, 16, 160, 20, 164)(12, 156, 25, 169, 22, 166)(13, 157, 26, 170, 27, 171)(14, 158, 28, 172, 29, 173)(15, 159, 23, 167, 30, 174)(17, 161, 31, 175, 32, 176)(21, 165, 38, 182, 39, 183)(24, 168, 40, 184, 41, 185)(33, 177, 53, 197, 54, 198)(34, 178, 36, 180, 55, 199)(35, 179, 56, 200, 57, 201)(37, 181, 51, 195, 58, 202)(42, 186, 64, 208, 60, 204)(43, 187, 44, 188, 65, 209)(45, 189, 66, 210, 67, 211)(46, 190, 68, 212, 69, 213)(47, 191, 49, 193, 70, 214)(48, 192, 71, 215, 72, 216)(50, 194, 62, 206, 73, 217)(52, 196, 74, 218, 75, 219)(59, 203, 84, 228, 85, 229)(61, 205, 86, 230, 87, 231)(63, 207, 88, 232, 89, 233)(76, 220, 106, 250, 107, 251)(77, 221, 79, 223, 108, 252)(78, 222, 109, 253, 110, 254)(80, 224, 82, 226, 111, 255)(81, 225, 112, 256, 113, 257)(83, 227, 104, 248, 114, 258)(90, 234, 121, 265, 116, 260)(91, 235, 92, 236, 122, 266)(93, 237, 94, 238, 123, 267)(95, 239, 124, 268, 125, 269)(96, 240, 126, 270, 127, 271)(97, 241, 99, 243, 128, 272)(98, 242, 129, 273, 130, 274)(100, 244, 102, 246, 131, 275)(101, 245, 132, 276, 133, 277)(103, 247, 119, 263, 134, 278)(105, 249, 135, 279, 136, 280)(115, 259, 137, 281, 138, 282)(117, 261, 139, 283, 140, 284)(118, 262, 141, 285, 142, 286)(120, 264, 143, 287, 144, 288)
	L = (1, 146)(2, 148)(3, 152)(4, 145)(5, 156)(6, 158)(7, 160)(8, 153)(9, 147)(10, 165)(11, 167)(12, 157)(13, 149)(14, 159)(15, 150)(16, 161)(17, 151)(18, 177)(19, 170)(20, 180)(21, 166)(22, 154)(23, 168)(24, 155)(25, 186)(26, 179)(27, 188)(28, 190)(29, 175)(30, 193)(31, 192)(32, 195)(33, 178)(34, 162)(35, 163)(36, 181)(37, 164)(38, 203)(39, 184)(40, 205)(41, 206)(42, 187)(43, 169)(44, 189)(45, 171)(46, 191)(47, 172)(48, 173)(49, 194)(50, 174)(51, 196)(52, 176)(53, 220)(54, 200)(55, 223)(56, 222)(57, 210)(58, 226)(59, 204)(60, 182)(61, 183)(62, 207)(63, 185)(64, 234)(65, 236)(66, 225)(67, 238)(68, 240)(69, 215)(70, 243)(71, 242)(72, 218)(73, 246)(74, 245)(75, 248)(76, 221)(77, 197)(78, 198)(79, 224)(80, 199)(81, 201)(82, 227)(83, 202)(84, 259)(85, 230)(86, 261)(87, 232)(88, 262)(89, 263)(90, 235)(91, 208)(92, 237)(93, 209)(94, 239)(95, 211)(96, 241)(97, 212)(98, 213)(99, 244)(100, 214)(101, 216)(102, 247)(103, 217)(104, 249)(105, 219)(106, 270)(107, 253)(108, 282)(109, 272)(110, 256)(111, 284)(112, 275)(113, 268)(114, 286)(115, 260)(116, 228)(117, 229)(118, 231)(119, 264)(120, 233)(121, 271)(122, 274)(123, 277)(124, 278)(125, 280)(126, 281)(127, 273)(128, 251)(129, 265)(130, 276)(131, 254)(132, 266)(133, 279)(134, 257)(135, 267)(136, 288)(137, 250)(138, 283)(139, 252)(140, 285)(141, 255)(142, 287)(143, 258)(144, 269)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2131
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 48 e = 144 f = 60
	degree seq :: [ 6^48 ]

E19.2133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C4) : C3) (small group id <144, 68>)
Aut   = $<288, 401>$ (small group id <288, 401>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y2^-1 * Y1)^3, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y2^4 * Y1 * Y2^-4, Y2^12 ]
Map::
	R = (1, 145, 2, 146, 4, 148)(3, 147, 8, 152, 10, 154)(5, 149, 13, 157, 14, 158)(6, 150, 16, 160, 18, 162)(7, 151, 19, 163, 20, 164)(9, 153, 24, 168, 26, 170)(11, 155, 28, 172, 30, 174)(12, 156, 31, 175, 22, 166)(15, 159, 35, 179, 36, 180)(17, 161, 39, 183, 41, 185)(21, 165, 45, 189, 46, 190)(23, 167, 49, 193, 44, 188)(25, 169, 53, 197, 55, 199)(27, 171, 57, 201, 51, 195)(29, 173, 60, 204, 62, 206)(32, 176, 64, 208, 65, 209)(33, 177, 67, 211, 42, 186)(34, 178, 59, 203, 70, 214)(37, 181, 73, 217, 74, 218)(38, 182, 76, 220, 48, 192)(40, 184, 79, 223, 81, 225)(43, 187, 84, 228, 63, 207)(47, 191, 89, 233, 90, 234)(50, 194, 93, 237, 88, 232)(52, 196, 95, 239, 86, 230)(54, 198, 80, 224, 100, 244)(56, 200, 102, 246, 97, 241)(58, 202, 104, 248, 105, 249)(61, 205, 109, 253, 110, 254)(66, 210, 114, 258, 115, 259)(68, 212, 117, 261, 82, 226)(69, 213, 108, 252, 118, 262)(71, 215, 119, 263, 83, 227)(72, 216, 107, 251, 120, 264)(75, 219, 91, 235, 116, 260)(77, 221, 122, 266, 113, 257)(78, 222, 124, 268, 92, 236)(85, 229, 131, 275, 111, 255)(87, 231, 132, 276, 112, 256)(94, 238, 135, 279, 130, 274)(96, 240, 136, 280, 129, 273)(98, 242, 137, 281, 128, 272)(99, 243, 134, 278, 126, 270)(101, 245, 139, 283, 127, 271)(103, 247, 140, 284, 141, 285)(106, 250, 142, 286, 133, 277)(121, 265, 144, 288, 123, 267)(125, 269, 138, 282, 143, 287)(289, 433, 291, 435, 297, 441, 313, 457, 342, 486, 387, 531, 426, 570, 409, 553, 363, 507, 325, 469, 303, 447, 293, 437)(290, 434, 294, 438, 305, 449, 328, 472, 368, 512, 415, 559, 429, 573, 421, 565, 379, 523, 335, 479, 309, 453, 295, 439)(292, 436, 299, 443, 317, 461, 349, 493, 388, 532, 425, 569, 424, 568, 423, 567, 404, 548, 354, 498, 320, 464, 300, 444)(296, 440, 310, 454, 336, 480, 380, 524, 422, 566, 398, 542, 406, 550, 408, 552, 361, 505, 382, 526, 338, 482, 311, 455)(298, 442, 307, 451, 331, 475, 373, 517, 414, 558, 367, 511, 405, 549, 407, 551, 362, 506, 394, 538, 346, 490, 315, 459)(301, 445, 321, 465, 356, 500, 386, 530, 341, 485, 385, 529, 393, 537, 403, 547, 432, 576, 400, 544, 351, 495, 318, 462)(302, 446, 322, 466, 357, 501, 389, 533, 343, 487, 383, 527, 381, 525, 377, 521, 411, 555, 365, 509, 326, 470, 304, 448)(306, 450, 319, 463, 345, 489, 390, 534, 427, 571, 397, 541, 419, 563, 420, 564, 378, 522, 418, 562, 371, 515, 330, 474)(308, 452, 332, 476, 374, 518, 416, 560, 369, 513, 412, 556, 410, 554, 402, 546, 430, 574, 395, 539, 347, 491, 316, 460)(312, 456, 339, 483, 353, 497, 401, 545, 431, 575, 399, 543, 350, 494, 358, 502, 323, 467, 359, 503, 384, 528, 340, 484)(314, 458, 337, 481, 333, 477, 375, 519, 413, 557, 366, 510, 327, 471, 355, 499, 324, 468, 360, 504, 391, 535, 344, 488)(329, 473, 364, 508, 352, 496, 392, 536, 428, 572, 396, 540, 348, 492, 372, 516, 334, 478, 376, 520, 417, 561, 370, 514)
	L = (1, 291)(2, 294)(3, 297)(4, 299)(5, 289)(6, 305)(7, 290)(8, 310)(9, 313)(10, 307)(11, 317)(12, 292)(13, 321)(14, 322)(15, 293)(16, 302)(17, 328)(18, 319)(19, 331)(20, 332)(21, 295)(22, 336)(23, 296)(24, 339)(25, 342)(26, 337)(27, 298)(28, 308)(29, 349)(30, 301)(31, 345)(32, 300)(33, 356)(34, 357)(35, 359)(36, 360)(37, 303)(38, 304)(39, 355)(40, 368)(41, 364)(42, 306)(43, 373)(44, 374)(45, 375)(46, 376)(47, 309)(48, 380)(49, 333)(50, 311)(51, 353)(52, 312)(53, 385)(54, 387)(55, 383)(56, 314)(57, 390)(58, 315)(59, 316)(60, 372)(61, 388)(62, 358)(63, 318)(64, 392)(65, 401)(66, 320)(67, 324)(68, 386)(69, 389)(70, 323)(71, 384)(72, 391)(73, 382)(74, 394)(75, 325)(76, 352)(77, 326)(78, 327)(79, 405)(80, 415)(81, 412)(82, 329)(83, 330)(84, 334)(85, 414)(86, 416)(87, 413)(88, 417)(89, 411)(90, 418)(91, 335)(92, 422)(93, 377)(94, 338)(95, 381)(96, 340)(97, 393)(98, 341)(99, 426)(100, 425)(101, 343)(102, 427)(103, 344)(104, 428)(105, 403)(106, 346)(107, 347)(108, 348)(109, 419)(110, 406)(111, 350)(112, 351)(113, 431)(114, 430)(115, 432)(116, 354)(117, 407)(118, 408)(119, 362)(120, 361)(121, 363)(122, 402)(123, 365)(124, 410)(125, 366)(126, 367)(127, 429)(128, 369)(129, 370)(130, 371)(131, 420)(132, 378)(133, 379)(134, 398)(135, 404)(136, 423)(137, 424)(138, 409)(139, 397)(140, 396)(141, 421)(142, 395)(143, 399)(144, 400)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2134
Graph:: bipartite
	v = 60 e = 288 f = 192
	degree seq :: [ 6^48, 24^12 ]

E19.2134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C4) : C3) (small group id <144, 68>)
Aut   = $<288, 401>$ (small group id <288, 401>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^3, (Y3 * Y2^-1)^3, (Y3 * Y2)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^4 * Y2 * Y3^-4 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)(289, 433, 290, 434, 292, 436)(291, 435, 296, 440, 298, 442)(293, 437, 301, 445, 302, 446)(294, 438, 304, 448, 306, 450)(295, 439, 307, 451, 308, 452)(297, 441, 312, 456, 314, 458)(299, 443, 316, 460, 318, 462)(300, 444, 319, 463, 310, 454)(303, 447, 323, 467, 324, 468)(305, 449, 327, 471, 329, 473)(309, 453, 333, 477, 334, 478)(311, 455, 337, 481, 332, 476)(313, 457, 341, 485, 343, 487)(315, 459, 345, 489, 339, 483)(317, 461, 348, 492, 350, 494)(320, 464, 352, 496, 353, 497)(321, 465, 355, 499, 330, 474)(322, 466, 347, 491, 358, 502)(325, 469, 361, 505, 362, 506)(326, 470, 364, 508, 336, 480)(328, 472, 367, 511, 369, 513)(331, 475, 372, 516, 351, 495)(335, 479, 377, 521, 378, 522)(338, 482, 381, 525, 376, 520)(340, 484, 383, 527, 374, 518)(342, 486, 368, 512, 388, 532)(344, 488, 390, 534, 385, 529)(346, 490, 392, 536, 393, 537)(349, 493, 397, 541, 398, 542)(354, 498, 402, 546, 403, 547)(356, 500, 405, 549, 370, 514)(357, 501, 396, 540, 406, 550)(359, 503, 407, 551, 371, 515)(360, 504, 395, 539, 408, 552)(363, 507, 379, 523, 404, 548)(365, 509, 410, 554, 401, 545)(366, 510, 412, 556, 380, 524)(373, 517, 419, 563, 399, 543)(375, 519, 420, 564, 400, 544)(382, 526, 423, 567, 418, 562)(384, 528, 424, 568, 417, 561)(386, 530, 425, 569, 416, 560)(387, 531, 422, 566, 414, 558)(389, 533, 427, 571, 415, 559)(391, 535, 428, 572, 429, 573)(394, 538, 430, 574, 421, 565)(409, 553, 432, 576, 411, 555)(413, 557, 426, 570, 431, 575)
	L = (1, 291)(2, 294)(3, 297)(4, 299)(5, 289)(6, 305)(7, 290)(8, 310)(9, 313)(10, 307)(11, 317)(12, 292)(13, 321)(14, 322)(15, 293)(16, 302)(17, 328)(18, 319)(19, 331)(20, 332)(21, 295)(22, 336)(23, 296)(24, 339)(25, 342)(26, 337)(27, 298)(28, 308)(29, 349)(30, 301)(31, 345)(32, 300)(33, 356)(34, 357)(35, 359)(36, 360)(37, 303)(38, 304)(39, 355)(40, 368)(41, 364)(42, 306)(43, 373)(44, 374)(45, 375)(46, 376)(47, 309)(48, 380)(49, 333)(50, 311)(51, 353)(52, 312)(53, 385)(54, 387)(55, 383)(56, 314)(57, 390)(58, 315)(59, 316)(60, 372)(61, 388)(62, 358)(63, 318)(64, 392)(65, 401)(66, 320)(67, 324)(68, 386)(69, 389)(70, 323)(71, 384)(72, 391)(73, 382)(74, 394)(75, 325)(76, 352)(77, 326)(78, 327)(79, 405)(80, 415)(81, 412)(82, 329)(83, 330)(84, 334)(85, 414)(86, 416)(87, 413)(88, 417)(89, 411)(90, 418)(91, 335)(92, 422)(93, 377)(94, 338)(95, 381)(96, 340)(97, 393)(98, 341)(99, 426)(100, 425)(101, 343)(102, 427)(103, 344)(104, 428)(105, 403)(106, 346)(107, 347)(108, 348)(109, 419)(110, 406)(111, 350)(112, 351)(113, 431)(114, 430)(115, 432)(116, 354)(117, 407)(118, 408)(119, 362)(120, 361)(121, 363)(122, 402)(123, 365)(124, 410)(125, 366)(126, 367)(127, 429)(128, 369)(129, 370)(130, 371)(131, 420)(132, 378)(133, 379)(134, 398)(135, 404)(136, 423)(137, 424)(138, 409)(139, 397)(140, 396)(141, 421)(142, 395)(143, 399)(144, 400)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2133
Graph:: simple bipartite
	v = 192 e = 288 f = 60
	degree seq :: [ 2^144, 6^48 ]

E19.2135 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 127>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^3, (T2 * T1^-2 * T2 * T1^-1)^2, (T1 * T2)^6, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-3 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 80, 70, 46, 22, 10, 4)(3, 7, 15, 31, 58, 28, 57, 41, 73, 38, 18, 8)(6, 13, 27, 55, 87, 52, 36, 17, 35, 62, 30, 14)(9, 19, 39, 68, 34, 16, 33, 66, 102, 76, 42, 20)(12, 25, 51, 85, 120, 83, 60, 29, 59, 90, 54, 26)(21, 43, 77, 112, 75, 40, 48, 81, 117, 115, 78, 44)(24, 49, 82, 118, 116, 79, 45, 53, 88, 122, 84, 50)(32, 64, 99, 119, 89, 127, 104, 67, 103, 126, 101, 65)(37, 71, 107, 121, 106, 69, 93, 133, 114, 132, 92, 56)(61, 95, 135, 111, 134, 94, 125, 110, 74, 109, 124, 86)(63, 97, 123, 143, 140, 108, 72, 100, 128, 144, 137, 98)(91, 129, 141, 139, 113, 136, 96, 131, 142, 138, 105, 130)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 63)(33, 47)(34, 67)(35, 69)(36, 70)(38, 72)(39, 74)(42, 64)(43, 50)(44, 66)(46, 60)(49, 83)(51, 86)(54, 89)(55, 91)(57, 80)(58, 93)(59, 94)(62, 96)(65, 100)(68, 105)(71, 98)(73, 104)(75, 111)(76, 113)(77, 114)(78, 109)(79, 81)(82, 119)(84, 121)(85, 123)(87, 125)(88, 126)(90, 128)(92, 131)(95, 130)(97, 127)(99, 138)(101, 120)(102, 135)(103, 139)(106, 129)(107, 117)(108, 133)(110, 136)(112, 137)(115, 140)(116, 132)(118, 141)(122, 142)(124, 144)(134, 143)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2136
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.2136 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 127>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2 * T1^-2)^2, T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 22, 18, 8)(6, 13, 25, 21, 28, 14)(9, 19, 24, 12, 23, 20)(16, 30, 47, 34, 50, 31)(17, 32, 46, 29, 45, 33)(26, 40, 63, 44, 66, 41)(27, 42, 62, 39, 61, 43)(35, 53, 58, 37, 57, 54)(36, 55, 60, 38, 59, 56)(48, 72, 101, 76, 84, 73)(49, 74, 100, 71, 99, 75)(51, 77, 97, 69, 96, 78)(52, 79, 64, 70, 98, 80)(65, 91, 120, 90, 119, 92)(67, 93, 118, 88, 117, 94)(68, 95, 85, 89, 108, 81)(82, 109, 114, 86, 113, 110)(83, 111, 116, 87, 115, 112)(102, 123, 122, 131, 142, 132)(103, 121, 139, 129, 144, 133)(104, 125, 126, 130, 134, 105)(106, 124, 141, 127, 143, 135)(107, 136, 140, 128, 138, 137)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 29)(18, 34)(19, 35)(20, 36)(23, 37)(24, 38)(25, 39)(28, 44)(30, 48)(31, 49)(32, 51)(33, 52)(40, 64)(41, 65)(42, 67)(43, 68)(45, 69)(46, 70)(47, 71)(50, 76)(53, 81)(54, 82)(55, 83)(56, 84)(57, 85)(58, 86)(59, 87)(60, 72)(61, 88)(62, 89)(63, 90)(66, 80)(73, 102)(74, 103)(75, 104)(77, 105)(78, 106)(79, 107)(91, 121)(92, 122)(93, 123)(94, 124)(95, 125)(96, 126)(97, 127)(98, 128)(99, 129)(100, 130)(101, 131)(108, 134)(109, 133)(110, 137)(111, 138)(112, 135)(113, 139)(114, 140)(115, 136)(116, 141)(117, 142)(118, 143)(119, 144)(120, 132)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2135
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 6^24 ]

E19.2137 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 127>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2 * T1 * T2^-3 * T1 * T2^2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 ]
Map::
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 21, 32, 16)(9, 19, 34, 17, 33, 20)(11, 22, 38, 28, 40, 23)(13, 26, 42, 24, 41, 27)(29, 45, 70, 50, 72, 46)(31, 48, 74, 47, 73, 49)(35, 53, 78, 51, 77, 54)(36, 55, 80, 52, 79, 56)(37, 57, 85, 62, 84, 58)(39, 60, 88, 59, 87, 61)(43, 65, 92, 63, 91, 66)(44, 67, 69, 64, 93, 68)(71, 98, 130, 97, 129, 99)(75, 102, 133, 100, 132, 103)(76, 104, 105, 101, 108, 81)(82, 109, 135, 106, 134, 110)(83, 111, 137, 107, 136, 112)(86, 114, 131, 113, 139, 115)(89, 118, 141, 116, 140, 119)(90, 120, 121, 117, 124, 94)(95, 125, 143, 122, 142, 126)(96, 127, 144, 123, 138, 128)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 161)(154, 165)(156, 168)(158, 172)(159, 173)(160, 175)(162, 169)(163, 179)(164, 180)(166, 181)(167, 183)(170, 187)(171, 188)(174, 191)(176, 194)(177, 195)(178, 196)(182, 203)(184, 206)(185, 207)(186, 208)(189, 213)(190, 215)(192, 219)(193, 220)(197, 225)(198, 226)(199, 227)(200, 228)(201, 224)(202, 230)(204, 233)(205, 234)(209, 238)(210, 239)(211, 240)(212, 216)(214, 241)(217, 244)(218, 245)(221, 249)(222, 250)(223, 251)(229, 257)(231, 260)(232, 261)(235, 265)(236, 266)(237, 267)(242, 262)(243, 275)(246, 258)(247, 269)(248, 264)(252, 268)(253, 263)(254, 272)(255, 282)(256, 270)(259, 274)(271, 280)(273, 284)(276, 283)(277, 286)(278, 285)(279, 288)(281, 287)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2141
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 144 f = 12
	degree seq :: [ 2^72, 6^24 ]

E19.2138 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 127>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T2^-1 * T1^2)^2, T1^6, T2^-2 * T1^3 * T2^-4, T2^2 * T1^-1 * T2^-2 * T1 * T2^-3 * T1 * T2^-1 * T1, T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^3 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 56, 37, 16, 36, 70, 35, 15, 5)(2, 7, 19, 42, 60, 29, 13, 31, 63, 48, 22, 8)(4, 12, 30, 61, 40, 18, 6, 17, 38, 52, 24, 9)(11, 28, 59, 98, 88, 50, 23, 49, 87, 94, 54, 25)(14, 32, 64, 104, 76, 41, 20, 44, 80, 107, 66, 33)(21, 45, 81, 122, 111, 71, 39, 73, 113, 125, 83, 46)(27, 58, 97, 124, 110, 69, 53, 92, 134, 135, 95, 55)(34, 67, 108, 140, 139, 103, 65, 57, 96, 123, 109, 68)(43, 79, 119, 93, 128, 86, 75, 115, 143, 130, 117, 77)(47, 84, 126, 129, 144, 121, 82, 78, 118, 99, 127, 85)(51, 89, 131, 120, 142, 114, 74, 101, 138, 105, 132, 90)(62, 102, 136, 106, 133, 91, 72, 112, 141, 116, 137, 100)(145, 146, 150, 160, 157, 148)(147, 153, 167, 180, 162, 155)(149, 158, 175, 181, 164, 151)(152, 165, 156, 173, 183, 161)(154, 169, 197, 214, 194, 171)(159, 178, 188, 200, 209, 176)(163, 185, 219, 207, 177, 187)(166, 191, 217, 204, 226, 189)(168, 195, 172, 184, 218, 193)(170, 199, 211, 179, 213, 201)(174, 190, 216, 182, 215, 206)(186, 221, 228, 192, 230, 222)(196, 235, 245, 205, 244, 233)(198, 237, 202, 232, 274, 236)(203, 234, 273, 231, 258, 243)(208, 247, 264, 224, 212, 249)(210, 250, 259, 220, 260, 223)(225, 265, 284, 257, 229, 267)(227, 268, 246, 255, 279, 256)(238, 270, 261, 242, 262, 272)(239, 266, 240, 254, 269, 252)(241, 263, 285, 278, 287, 280)(248, 282, 277, 251, 275, 281)(253, 271, 286, 283, 288, 276)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2142
Transitivity :: ET+
Graph:: bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 6^24, 12^12 ]

E19.2139 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 127>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^3, (T2 * T1^-2 * T2 * T1^-1)^2, T1^12, (T2 * T1)^6, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-3 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 63)(33, 47)(34, 67)(35, 69)(36, 70)(38, 72)(39, 74)(42, 64)(43, 50)(44, 66)(46, 60)(49, 83)(51, 86)(54, 89)(55, 91)(57, 80)(58, 93)(59, 94)(62, 96)(65, 100)(68, 105)(71, 98)(73, 104)(75, 111)(76, 113)(77, 114)(78, 109)(79, 81)(82, 119)(84, 121)(85, 123)(87, 125)(88, 126)(90, 128)(92, 131)(95, 130)(97, 127)(99, 138)(101, 120)(102, 135)(103, 139)(106, 129)(107, 117)(108, 133)(110, 136)(112, 137)(115, 140)(116, 132)(118, 141)(122, 142)(124, 144)(134, 143)(145, 146, 149, 155, 167, 191, 224, 214, 190, 166, 154, 148)(147, 151, 159, 175, 202, 172, 201, 185, 217, 182, 162, 152)(150, 157, 171, 199, 231, 196, 180, 161, 179, 206, 174, 158)(153, 163, 183, 212, 178, 160, 177, 210, 246, 220, 186, 164)(156, 169, 195, 229, 264, 227, 204, 173, 203, 234, 198, 170)(165, 187, 221, 256, 219, 184, 192, 225, 261, 259, 222, 188)(168, 193, 226, 262, 260, 223, 189, 197, 232, 266, 228, 194)(176, 208, 243, 263, 233, 271, 248, 211, 247, 270, 245, 209)(181, 215, 251, 265, 250, 213, 237, 277, 258, 276, 236, 200)(205, 239, 279, 255, 278, 238, 269, 254, 218, 253, 268, 230)(207, 241, 267, 287, 284, 252, 216, 244, 272, 288, 281, 242)(235, 273, 285, 283, 257, 280, 240, 275, 286, 282, 249, 274)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2140
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 144 f = 24
	degree seq :: [ 2^72, 12^12 ]

E19.2140 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 127>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2 * T1 * T2^-3 * T1 * T2^2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 18, 162, 10, 154, 4, 148)(2, 146, 5, 149, 12, 156, 25, 169, 14, 158, 6, 150)(7, 151, 15, 159, 30, 174, 21, 165, 32, 176, 16, 160)(9, 153, 19, 163, 34, 178, 17, 161, 33, 177, 20, 164)(11, 155, 22, 166, 38, 182, 28, 172, 40, 184, 23, 167)(13, 157, 26, 170, 42, 186, 24, 168, 41, 185, 27, 171)(29, 173, 45, 189, 70, 214, 50, 194, 72, 216, 46, 190)(31, 175, 48, 192, 74, 218, 47, 191, 73, 217, 49, 193)(35, 179, 53, 197, 78, 222, 51, 195, 77, 221, 54, 198)(36, 180, 55, 199, 80, 224, 52, 196, 79, 223, 56, 200)(37, 181, 57, 201, 85, 229, 62, 206, 84, 228, 58, 202)(39, 183, 60, 204, 88, 232, 59, 203, 87, 231, 61, 205)(43, 187, 65, 209, 92, 236, 63, 207, 91, 235, 66, 210)(44, 188, 67, 211, 69, 213, 64, 208, 93, 237, 68, 212)(71, 215, 98, 242, 130, 274, 97, 241, 129, 273, 99, 243)(75, 219, 102, 246, 133, 277, 100, 244, 132, 276, 103, 247)(76, 220, 104, 248, 105, 249, 101, 245, 108, 252, 81, 225)(82, 226, 109, 253, 135, 279, 106, 250, 134, 278, 110, 254)(83, 227, 111, 255, 137, 281, 107, 251, 136, 280, 112, 256)(86, 230, 114, 258, 131, 275, 113, 257, 139, 283, 115, 259)(89, 233, 118, 262, 141, 285, 116, 260, 140, 284, 119, 263)(90, 234, 120, 264, 121, 265, 117, 261, 124, 268, 94, 238)(95, 239, 125, 269, 143, 287, 122, 266, 142, 286, 126, 270)(96, 240, 127, 271, 144, 288, 123, 267, 138, 282, 128, 272)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 161)(9, 148)(10, 165)(11, 149)(12, 168)(13, 150)(14, 172)(15, 173)(16, 175)(17, 152)(18, 169)(19, 179)(20, 180)(21, 154)(22, 181)(23, 183)(24, 156)(25, 162)(26, 187)(27, 188)(28, 158)(29, 159)(30, 191)(31, 160)(32, 194)(33, 195)(34, 196)(35, 163)(36, 164)(37, 166)(38, 203)(39, 167)(40, 206)(41, 207)(42, 208)(43, 170)(44, 171)(45, 213)(46, 215)(47, 174)(48, 219)(49, 220)(50, 176)(51, 177)(52, 178)(53, 225)(54, 226)(55, 227)(56, 228)(57, 224)(58, 230)(59, 182)(60, 233)(61, 234)(62, 184)(63, 185)(64, 186)(65, 238)(66, 239)(67, 240)(68, 216)(69, 189)(70, 241)(71, 190)(72, 212)(73, 244)(74, 245)(75, 192)(76, 193)(77, 249)(78, 250)(79, 251)(80, 201)(81, 197)(82, 198)(83, 199)(84, 200)(85, 257)(86, 202)(87, 260)(88, 261)(89, 204)(90, 205)(91, 265)(92, 266)(93, 267)(94, 209)(95, 210)(96, 211)(97, 214)(98, 262)(99, 275)(100, 217)(101, 218)(102, 258)(103, 269)(104, 264)(105, 221)(106, 222)(107, 223)(108, 268)(109, 263)(110, 272)(111, 282)(112, 270)(113, 229)(114, 246)(115, 274)(116, 231)(117, 232)(118, 242)(119, 253)(120, 248)(121, 235)(122, 236)(123, 237)(124, 252)(125, 247)(126, 256)(127, 280)(128, 254)(129, 284)(130, 259)(131, 243)(132, 283)(133, 286)(134, 285)(135, 288)(136, 271)(137, 287)(138, 255)(139, 276)(140, 273)(141, 278)(142, 277)(143, 281)(144, 279)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2139
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 144 f = 84
	degree seq :: [ 12^24 ]

E19.2141 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 127>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T2^-1 * T1^2)^2, T1^6, T2^-2 * T1^3 * T2^-4, T2^2 * T1^-1 * T2^-2 * T1 * T2^-3 * T1 * T2^-1 * T1, T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^3 * T1 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 26, 170, 56, 200, 37, 181, 16, 160, 36, 180, 70, 214, 35, 179, 15, 159, 5, 149)(2, 146, 7, 151, 19, 163, 42, 186, 60, 204, 29, 173, 13, 157, 31, 175, 63, 207, 48, 192, 22, 166, 8, 152)(4, 148, 12, 156, 30, 174, 61, 205, 40, 184, 18, 162, 6, 150, 17, 161, 38, 182, 52, 196, 24, 168, 9, 153)(11, 155, 28, 172, 59, 203, 98, 242, 88, 232, 50, 194, 23, 167, 49, 193, 87, 231, 94, 238, 54, 198, 25, 169)(14, 158, 32, 176, 64, 208, 104, 248, 76, 220, 41, 185, 20, 164, 44, 188, 80, 224, 107, 251, 66, 210, 33, 177)(21, 165, 45, 189, 81, 225, 122, 266, 111, 255, 71, 215, 39, 183, 73, 217, 113, 257, 125, 269, 83, 227, 46, 190)(27, 171, 58, 202, 97, 241, 124, 268, 110, 254, 69, 213, 53, 197, 92, 236, 134, 278, 135, 279, 95, 239, 55, 199)(34, 178, 67, 211, 108, 252, 140, 284, 139, 283, 103, 247, 65, 209, 57, 201, 96, 240, 123, 267, 109, 253, 68, 212)(43, 187, 79, 223, 119, 263, 93, 237, 128, 272, 86, 230, 75, 219, 115, 259, 143, 287, 130, 274, 117, 261, 77, 221)(47, 191, 84, 228, 126, 270, 129, 273, 144, 288, 121, 265, 82, 226, 78, 222, 118, 262, 99, 243, 127, 271, 85, 229)(51, 195, 89, 233, 131, 275, 120, 264, 142, 286, 114, 258, 74, 218, 101, 245, 138, 282, 105, 249, 132, 276, 90, 234)(62, 206, 102, 246, 136, 280, 106, 250, 133, 277, 91, 235, 72, 216, 112, 256, 141, 285, 116, 260, 137, 281, 100, 244)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 160)(7, 149)(8, 165)(9, 167)(10, 169)(11, 147)(12, 173)(13, 148)(14, 175)(15, 178)(16, 157)(17, 152)(18, 155)(19, 185)(20, 151)(21, 156)(22, 191)(23, 180)(24, 195)(25, 197)(26, 199)(27, 154)(28, 184)(29, 183)(30, 190)(31, 181)(32, 159)(33, 187)(34, 188)(35, 213)(36, 162)(37, 164)(38, 215)(39, 161)(40, 218)(41, 219)(42, 221)(43, 163)(44, 200)(45, 166)(46, 216)(47, 217)(48, 230)(49, 168)(50, 171)(51, 172)(52, 235)(53, 214)(54, 237)(55, 211)(56, 209)(57, 170)(58, 232)(59, 234)(60, 226)(61, 244)(62, 174)(63, 177)(64, 247)(65, 176)(66, 250)(67, 179)(68, 249)(69, 201)(70, 194)(71, 206)(72, 182)(73, 204)(74, 193)(75, 207)(76, 260)(77, 228)(78, 186)(79, 210)(80, 212)(81, 265)(82, 189)(83, 268)(84, 192)(85, 267)(86, 222)(87, 258)(88, 274)(89, 196)(90, 273)(91, 245)(92, 198)(93, 202)(94, 270)(95, 266)(96, 254)(97, 263)(98, 262)(99, 203)(100, 233)(101, 205)(102, 255)(103, 264)(104, 282)(105, 208)(106, 259)(107, 275)(108, 239)(109, 271)(110, 269)(111, 279)(112, 227)(113, 229)(114, 243)(115, 220)(116, 223)(117, 242)(118, 272)(119, 285)(120, 224)(121, 284)(122, 240)(123, 225)(124, 246)(125, 252)(126, 261)(127, 286)(128, 238)(129, 231)(130, 236)(131, 281)(132, 253)(133, 251)(134, 287)(135, 256)(136, 241)(137, 248)(138, 277)(139, 288)(140, 257)(141, 278)(142, 283)(143, 280)(144, 276)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2137
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 144 f = 96
	degree seq :: [ 24^12 ]

E19.2142 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 127>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^3, (T2 * T1^-2 * T2 * T1^-1)^2, T1^12, (T2 * T1)^6, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147)(2, 146, 6, 150)(4, 148, 9, 153)(5, 149, 12, 156)(7, 151, 16, 160)(8, 152, 17, 161)(10, 154, 21, 165)(11, 155, 24, 168)(13, 157, 28, 172)(14, 158, 29, 173)(15, 159, 32, 176)(18, 162, 37, 181)(19, 163, 40, 184)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 48, 192)(25, 169, 52, 196)(26, 170, 53, 197)(27, 171, 56, 200)(30, 174, 61, 205)(31, 175, 63, 207)(33, 177, 47, 191)(34, 178, 67, 211)(35, 179, 69, 213)(36, 180, 70, 214)(38, 182, 72, 216)(39, 183, 74, 218)(42, 186, 64, 208)(43, 187, 50, 194)(44, 188, 66, 210)(46, 190, 60, 204)(49, 193, 83, 227)(51, 195, 86, 230)(54, 198, 89, 233)(55, 199, 91, 235)(57, 201, 80, 224)(58, 202, 93, 237)(59, 203, 94, 238)(62, 206, 96, 240)(65, 209, 100, 244)(68, 212, 105, 249)(71, 215, 98, 242)(73, 217, 104, 248)(75, 219, 111, 255)(76, 220, 113, 257)(77, 221, 114, 258)(78, 222, 109, 253)(79, 223, 81, 225)(82, 226, 119, 263)(84, 228, 121, 265)(85, 229, 123, 267)(87, 231, 125, 269)(88, 232, 126, 270)(90, 234, 128, 272)(92, 236, 131, 275)(95, 239, 130, 274)(97, 241, 127, 271)(99, 243, 138, 282)(101, 245, 120, 264)(102, 246, 135, 279)(103, 247, 139, 283)(106, 250, 129, 273)(107, 251, 117, 261)(108, 252, 133, 277)(110, 254, 136, 280)(112, 256, 137, 281)(115, 259, 140, 284)(116, 260, 132, 276)(118, 262, 141, 285)(122, 266, 142, 286)(124, 268, 144, 288)(134, 278, 143, 287)
	L = (1, 146)(2, 149)(3, 151)(4, 145)(5, 155)(6, 157)(7, 159)(8, 147)(9, 163)(10, 148)(11, 167)(12, 169)(13, 171)(14, 150)(15, 175)(16, 177)(17, 179)(18, 152)(19, 183)(20, 153)(21, 187)(22, 154)(23, 191)(24, 193)(25, 195)(26, 156)(27, 199)(28, 201)(29, 203)(30, 158)(31, 202)(32, 208)(33, 210)(34, 160)(35, 206)(36, 161)(37, 215)(38, 162)(39, 212)(40, 192)(41, 217)(42, 164)(43, 221)(44, 165)(45, 197)(46, 166)(47, 224)(48, 225)(49, 226)(50, 168)(51, 229)(52, 180)(53, 232)(54, 170)(55, 231)(56, 181)(57, 185)(58, 172)(59, 234)(60, 173)(61, 239)(62, 174)(63, 241)(64, 243)(65, 176)(66, 246)(67, 247)(68, 178)(69, 237)(70, 190)(71, 251)(72, 244)(73, 182)(74, 253)(75, 184)(76, 186)(77, 256)(78, 188)(79, 189)(80, 214)(81, 261)(82, 262)(83, 204)(84, 194)(85, 264)(86, 205)(87, 196)(88, 266)(89, 271)(90, 198)(91, 273)(92, 200)(93, 277)(94, 269)(95, 279)(96, 275)(97, 267)(98, 207)(99, 263)(100, 272)(101, 209)(102, 220)(103, 270)(104, 211)(105, 274)(106, 213)(107, 265)(108, 216)(109, 268)(110, 218)(111, 278)(112, 219)(113, 280)(114, 276)(115, 222)(116, 223)(117, 259)(118, 260)(119, 233)(120, 227)(121, 250)(122, 228)(123, 287)(124, 230)(125, 254)(126, 245)(127, 248)(128, 288)(129, 285)(130, 235)(131, 286)(132, 236)(133, 258)(134, 238)(135, 255)(136, 240)(137, 242)(138, 249)(139, 257)(140, 252)(141, 283)(142, 282)(143, 284)(144, 281)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2138
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.2143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 127>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^6, (Y1 * R * Y2)^2, (R * Y2 * Y3^-1)^2, (R * Y2^-3)^2, Y2 * Y1 * Y2^-3 * Y1 * Y2^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 24, 168)(14, 158, 28, 172)(15, 159, 29, 173)(16, 160, 31, 175)(18, 162, 25, 169)(19, 163, 35, 179)(20, 164, 36, 180)(22, 166, 37, 181)(23, 167, 39, 183)(26, 170, 43, 187)(27, 171, 44, 188)(30, 174, 47, 191)(32, 176, 50, 194)(33, 177, 51, 195)(34, 178, 52, 196)(38, 182, 59, 203)(40, 184, 62, 206)(41, 185, 63, 207)(42, 186, 64, 208)(45, 189, 69, 213)(46, 190, 71, 215)(48, 192, 75, 219)(49, 193, 76, 220)(53, 197, 81, 225)(54, 198, 82, 226)(55, 199, 83, 227)(56, 200, 84, 228)(57, 201, 80, 224)(58, 202, 86, 230)(60, 204, 89, 233)(61, 205, 90, 234)(65, 209, 94, 238)(66, 210, 95, 239)(67, 211, 96, 240)(68, 212, 72, 216)(70, 214, 97, 241)(73, 217, 100, 244)(74, 218, 101, 245)(77, 221, 105, 249)(78, 222, 106, 250)(79, 223, 107, 251)(85, 229, 113, 257)(87, 231, 116, 260)(88, 232, 117, 261)(91, 235, 121, 265)(92, 236, 122, 266)(93, 237, 123, 267)(98, 242, 118, 262)(99, 243, 131, 275)(102, 246, 114, 258)(103, 247, 125, 269)(104, 248, 120, 264)(108, 252, 124, 268)(109, 253, 119, 263)(110, 254, 128, 272)(111, 255, 138, 282)(112, 256, 126, 270)(115, 259, 130, 274)(127, 271, 136, 280)(129, 273, 140, 284)(132, 276, 139, 283)(133, 277, 142, 286)(134, 278, 141, 285)(135, 279, 144, 288)(137, 281, 143, 287)(289, 433, 291, 435, 296, 440, 306, 450, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 313, 457, 302, 446, 294, 438)(295, 439, 303, 447, 318, 462, 309, 453, 320, 464, 304, 448)(297, 441, 307, 451, 322, 466, 305, 449, 321, 465, 308, 452)(299, 443, 310, 454, 326, 470, 316, 460, 328, 472, 311, 455)(301, 445, 314, 458, 330, 474, 312, 456, 329, 473, 315, 459)(317, 461, 333, 477, 358, 502, 338, 482, 360, 504, 334, 478)(319, 463, 336, 480, 362, 506, 335, 479, 361, 505, 337, 481)(323, 467, 341, 485, 366, 510, 339, 483, 365, 509, 342, 486)(324, 468, 343, 487, 368, 512, 340, 484, 367, 511, 344, 488)(325, 469, 345, 489, 373, 517, 350, 494, 372, 516, 346, 490)(327, 471, 348, 492, 376, 520, 347, 491, 375, 519, 349, 493)(331, 475, 353, 497, 380, 524, 351, 495, 379, 523, 354, 498)(332, 476, 355, 499, 357, 501, 352, 496, 381, 525, 356, 500)(359, 503, 386, 530, 418, 562, 385, 529, 417, 561, 387, 531)(363, 507, 390, 534, 421, 565, 388, 532, 420, 564, 391, 535)(364, 508, 392, 536, 393, 537, 389, 533, 396, 540, 369, 513)(370, 514, 397, 541, 423, 567, 394, 538, 422, 566, 398, 542)(371, 515, 399, 543, 425, 569, 395, 539, 424, 568, 400, 544)(374, 518, 402, 546, 419, 563, 401, 545, 427, 571, 403, 547)(377, 521, 406, 550, 429, 573, 404, 548, 428, 572, 407, 551)(378, 522, 408, 552, 409, 553, 405, 549, 412, 556, 382, 526)(383, 527, 413, 557, 431, 575, 410, 554, 430, 574, 414, 558)(384, 528, 415, 559, 432, 576, 411, 555, 426, 570, 416, 560)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 312)(13, 294)(14, 316)(15, 317)(16, 319)(17, 296)(18, 313)(19, 323)(20, 324)(21, 298)(22, 325)(23, 327)(24, 300)(25, 306)(26, 331)(27, 332)(28, 302)(29, 303)(30, 335)(31, 304)(32, 338)(33, 339)(34, 340)(35, 307)(36, 308)(37, 310)(38, 347)(39, 311)(40, 350)(41, 351)(42, 352)(43, 314)(44, 315)(45, 357)(46, 359)(47, 318)(48, 363)(49, 364)(50, 320)(51, 321)(52, 322)(53, 369)(54, 370)(55, 371)(56, 372)(57, 368)(58, 374)(59, 326)(60, 377)(61, 378)(62, 328)(63, 329)(64, 330)(65, 382)(66, 383)(67, 384)(68, 360)(69, 333)(70, 385)(71, 334)(72, 356)(73, 388)(74, 389)(75, 336)(76, 337)(77, 393)(78, 394)(79, 395)(80, 345)(81, 341)(82, 342)(83, 343)(84, 344)(85, 401)(86, 346)(87, 404)(88, 405)(89, 348)(90, 349)(91, 409)(92, 410)(93, 411)(94, 353)(95, 354)(96, 355)(97, 358)(98, 406)(99, 419)(100, 361)(101, 362)(102, 402)(103, 413)(104, 408)(105, 365)(106, 366)(107, 367)(108, 412)(109, 407)(110, 416)(111, 426)(112, 414)(113, 373)(114, 390)(115, 418)(116, 375)(117, 376)(118, 386)(119, 397)(120, 392)(121, 379)(122, 380)(123, 381)(124, 396)(125, 391)(126, 400)(127, 424)(128, 398)(129, 428)(130, 403)(131, 387)(132, 427)(133, 430)(134, 429)(135, 432)(136, 415)(137, 431)(138, 399)(139, 420)(140, 417)(141, 422)(142, 421)(143, 425)(144, 423)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2146
Graph:: bipartite
	v = 96 e = 288 f = 156
	degree seq :: [ 4^72, 12^24 ]

E19.2144 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 127>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y2 * Y1^-2)^2, Y1^6, Y1 * Y2^-6 * Y1^2, Y2^2 * Y1^-1 * Y2^-2 * Y1 * Y2^-3 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^3 * Y1 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 36, 180, 18, 162, 11, 155)(5, 149, 14, 158, 31, 175, 37, 181, 20, 164, 7, 151)(8, 152, 21, 165, 12, 156, 29, 173, 39, 183, 17, 161)(10, 154, 25, 169, 53, 197, 70, 214, 50, 194, 27, 171)(15, 159, 34, 178, 44, 188, 56, 200, 65, 209, 32, 176)(19, 163, 41, 185, 75, 219, 63, 207, 33, 177, 43, 187)(22, 166, 47, 191, 73, 217, 60, 204, 82, 226, 45, 189)(24, 168, 51, 195, 28, 172, 40, 184, 74, 218, 49, 193)(26, 170, 55, 199, 67, 211, 35, 179, 69, 213, 57, 201)(30, 174, 46, 190, 72, 216, 38, 182, 71, 215, 62, 206)(42, 186, 77, 221, 84, 228, 48, 192, 86, 230, 78, 222)(52, 196, 91, 235, 101, 245, 61, 205, 100, 244, 89, 233)(54, 198, 93, 237, 58, 202, 88, 232, 130, 274, 92, 236)(59, 203, 90, 234, 129, 273, 87, 231, 114, 258, 99, 243)(64, 208, 103, 247, 120, 264, 80, 224, 68, 212, 105, 249)(66, 210, 106, 250, 115, 259, 76, 220, 116, 260, 79, 223)(81, 225, 121, 265, 140, 284, 113, 257, 85, 229, 123, 267)(83, 227, 124, 268, 102, 246, 111, 255, 135, 279, 112, 256)(94, 238, 126, 270, 117, 261, 98, 242, 118, 262, 128, 272)(95, 239, 122, 266, 96, 240, 110, 254, 125, 269, 108, 252)(97, 241, 119, 263, 141, 285, 134, 278, 143, 287, 136, 280)(104, 248, 138, 282, 133, 277, 107, 251, 131, 275, 137, 281)(109, 253, 127, 271, 142, 286, 139, 283, 144, 288, 132, 276)(289, 433, 291, 435, 298, 442, 314, 458, 344, 488, 325, 469, 304, 448, 324, 468, 358, 502, 323, 467, 303, 447, 293, 437)(290, 434, 295, 439, 307, 451, 330, 474, 348, 492, 317, 461, 301, 445, 319, 463, 351, 495, 336, 480, 310, 454, 296, 440)(292, 436, 300, 444, 318, 462, 349, 493, 328, 472, 306, 450, 294, 438, 305, 449, 326, 470, 340, 484, 312, 456, 297, 441)(299, 443, 316, 460, 347, 491, 386, 530, 376, 520, 338, 482, 311, 455, 337, 481, 375, 519, 382, 526, 342, 486, 313, 457)(302, 446, 320, 464, 352, 496, 392, 536, 364, 508, 329, 473, 308, 452, 332, 476, 368, 512, 395, 539, 354, 498, 321, 465)(309, 453, 333, 477, 369, 513, 410, 554, 399, 543, 359, 503, 327, 471, 361, 505, 401, 545, 413, 557, 371, 515, 334, 478)(315, 459, 346, 490, 385, 529, 412, 556, 398, 542, 357, 501, 341, 485, 380, 524, 422, 566, 423, 567, 383, 527, 343, 487)(322, 466, 355, 499, 396, 540, 428, 572, 427, 571, 391, 535, 353, 497, 345, 489, 384, 528, 411, 555, 397, 541, 356, 500)(331, 475, 367, 511, 407, 551, 381, 525, 416, 560, 374, 518, 363, 507, 403, 547, 431, 575, 418, 562, 405, 549, 365, 509)(335, 479, 372, 516, 414, 558, 417, 561, 432, 576, 409, 553, 370, 514, 366, 510, 406, 550, 387, 531, 415, 559, 373, 517)(339, 483, 377, 521, 419, 563, 408, 552, 430, 574, 402, 546, 362, 506, 389, 533, 426, 570, 393, 537, 420, 564, 378, 522)(350, 494, 390, 534, 424, 568, 394, 538, 421, 565, 379, 523, 360, 504, 400, 544, 429, 573, 404, 548, 425, 569, 388, 532)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 316)(12, 318)(13, 319)(14, 320)(15, 293)(16, 324)(17, 326)(18, 294)(19, 330)(20, 332)(21, 333)(22, 296)(23, 337)(24, 297)(25, 299)(26, 344)(27, 346)(28, 347)(29, 301)(30, 349)(31, 351)(32, 352)(33, 302)(34, 355)(35, 303)(36, 358)(37, 304)(38, 340)(39, 361)(40, 306)(41, 308)(42, 348)(43, 367)(44, 368)(45, 369)(46, 309)(47, 372)(48, 310)(49, 375)(50, 311)(51, 377)(52, 312)(53, 380)(54, 313)(55, 315)(56, 325)(57, 384)(58, 385)(59, 386)(60, 317)(61, 328)(62, 390)(63, 336)(64, 392)(65, 345)(66, 321)(67, 396)(68, 322)(69, 341)(70, 323)(71, 327)(72, 400)(73, 401)(74, 389)(75, 403)(76, 329)(77, 331)(78, 406)(79, 407)(80, 395)(81, 410)(82, 366)(83, 334)(84, 414)(85, 335)(86, 363)(87, 382)(88, 338)(89, 419)(90, 339)(91, 360)(92, 422)(93, 416)(94, 342)(95, 343)(96, 411)(97, 412)(98, 376)(99, 415)(100, 350)(101, 426)(102, 424)(103, 353)(104, 364)(105, 420)(106, 421)(107, 354)(108, 428)(109, 356)(110, 357)(111, 359)(112, 429)(113, 413)(114, 362)(115, 431)(116, 425)(117, 365)(118, 387)(119, 381)(120, 430)(121, 370)(122, 399)(123, 397)(124, 398)(125, 371)(126, 417)(127, 373)(128, 374)(129, 432)(130, 405)(131, 408)(132, 378)(133, 379)(134, 423)(135, 383)(136, 394)(137, 388)(138, 393)(139, 391)(140, 427)(141, 404)(142, 402)(143, 418)(144, 409)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2145
Graph:: bipartite
	v = 36 e = 288 f = 216
	degree seq :: [ 12^24, 24^12 ]

E19.2145 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 127>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-2, (Y3^-1 * Y2 * Y3^-2 * Y2)^2, Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^-3 * Y2 * Y3^-1 * Y2 * Y3, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)(289, 433, 290, 434)(291, 435, 295, 439)(292, 436, 297, 441)(293, 437, 299, 443)(294, 438, 301, 445)(296, 440, 305, 449)(298, 442, 309, 453)(300, 444, 313, 457)(302, 446, 317, 461)(303, 447, 319, 463)(304, 448, 321, 465)(306, 450, 325, 469)(307, 451, 327, 471)(308, 452, 329, 473)(310, 454, 333, 477)(311, 455, 335, 479)(312, 456, 337, 481)(314, 458, 341, 485)(315, 459, 343, 487)(316, 460, 345, 489)(318, 462, 349, 493)(320, 464, 348, 492)(322, 466, 355, 499)(323, 467, 346, 490)(324, 468, 357, 501)(326, 470, 361, 505)(328, 472, 363, 507)(330, 474, 339, 483)(331, 475, 360, 504)(332, 476, 336, 480)(334, 478, 354, 498)(338, 482, 372, 516)(340, 484, 374, 518)(342, 486, 378, 522)(344, 488, 380, 524)(347, 491, 377, 521)(350, 494, 371, 515)(351, 495, 368, 512)(352, 496, 385, 529)(353, 497, 386, 530)(356, 500, 390, 534)(358, 502, 393, 537)(359, 503, 388, 532)(362, 506, 397, 541)(364, 508, 401, 545)(365, 509, 402, 546)(366, 510, 399, 543)(367, 511, 396, 540)(369, 513, 405, 549)(370, 514, 406, 550)(373, 517, 410, 554)(375, 519, 413, 557)(376, 520, 408, 552)(379, 523, 417, 561)(381, 525, 421, 565)(382, 526, 422, 566)(383, 527, 419, 563)(384, 528, 416, 560)(387, 531, 412, 556)(389, 533, 409, 553)(391, 535, 414, 558)(392, 536, 407, 551)(394, 538, 411, 555)(395, 539, 418, 562)(398, 542, 415, 559)(400, 544, 420, 564)(403, 547, 424, 568)(404, 548, 423, 567)(425, 569, 432, 576)(426, 570, 431, 575)(427, 571, 430, 574)(428, 572, 429, 573)
	L = (1, 291)(2, 293)(3, 296)(4, 289)(5, 300)(6, 290)(7, 303)(8, 306)(9, 307)(10, 292)(11, 311)(12, 314)(13, 315)(14, 294)(15, 320)(16, 295)(17, 323)(18, 326)(19, 328)(20, 297)(21, 331)(22, 298)(23, 336)(24, 299)(25, 339)(26, 342)(27, 344)(28, 301)(29, 347)(30, 302)(31, 351)(32, 352)(33, 353)(34, 304)(35, 356)(36, 305)(37, 359)(38, 335)(39, 361)(40, 338)(41, 350)(42, 308)(43, 365)(44, 309)(45, 357)(46, 310)(47, 368)(48, 369)(49, 370)(50, 312)(51, 373)(52, 313)(53, 376)(54, 319)(55, 378)(56, 322)(57, 334)(58, 316)(59, 382)(60, 317)(61, 374)(62, 318)(63, 329)(64, 381)(65, 387)(66, 321)(67, 389)(68, 391)(69, 392)(70, 324)(71, 394)(72, 325)(73, 396)(74, 327)(75, 399)(76, 330)(77, 398)(78, 332)(79, 333)(80, 345)(81, 364)(82, 407)(83, 337)(84, 409)(85, 411)(86, 412)(87, 340)(88, 414)(89, 341)(90, 416)(91, 343)(92, 419)(93, 346)(94, 418)(95, 348)(96, 349)(97, 417)(98, 421)(99, 358)(100, 354)(101, 405)(102, 355)(103, 413)(104, 427)(105, 408)(106, 428)(107, 360)(108, 422)(109, 425)(110, 362)(111, 426)(112, 363)(113, 420)(114, 423)(115, 366)(116, 367)(117, 397)(118, 401)(119, 375)(120, 371)(121, 385)(122, 372)(123, 393)(124, 431)(125, 388)(126, 432)(127, 377)(128, 402)(129, 429)(130, 379)(131, 430)(132, 380)(133, 400)(134, 403)(135, 383)(136, 384)(137, 386)(138, 390)(139, 395)(140, 404)(141, 406)(142, 410)(143, 415)(144, 424)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2144
Graph:: simple bipartite
	v = 216 e = 288 f = 36
	degree seq :: [ 2^144, 4^72 ]

E19.2146 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 127>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|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^-5, (Y1^-1 * Y3 * Y1^-2 * Y3)^2, Y3 * Y1^-2 * Y3 * Y1^3 * Y3 * Y1^2 * Y3 * Y1^-3 ]
Map::
	R = (1, 145, 2, 146, 5, 149, 11, 155, 23, 167, 47, 191, 80, 224, 70, 214, 46, 190, 22, 166, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 31, 175, 58, 202, 28, 172, 57, 201, 41, 185, 73, 217, 38, 182, 18, 162, 8, 152)(6, 150, 13, 157, 27, 171, 55, 199, 87, 231, 52, 196, 36, 180, 17, 161, 35, 179, 62, 206, 30, 174, 14, 158)(9, 153, 19, 163, 39, 183, 68, 212, 34, 178, 16, 160, 33, 177, 66, 210, 102, 246, 76, 220, 42, 186, 20, 164)(12, 156, 25, 169, 51, 195, 85, 229, 120, 264, 83, 227, 60, 204, 29, 173, 59, 203, 90, 234, 54, 198, 26, 170)(21, 165, 43, 187, 77, 221, 112, 256, 75, 219, 40, 184, 48, 192, 81, 225, 117, 261, 115, 259, 78, 222, 44, 188)(24, 168, 49, 193, 82, 226, 118, 262, 116, 260, 79, 223, 45, 189, 53, 197, 88, 232, 122, 266, 84, 228, 50, 194)(32, 176, 64, 208, 99, 243, 119, 263, 89, 233, 127, 271, 104, 248, 67, 211, 103, 247, 126, 270, 101, 245, 65, 209)(37, 181, 71, 215, 107, 251, 121, 265, 106, 250, 69, 213, 93, 237, 133, 277, 114, 258, 132, 276, 92, 236, 56, 200)(61, 205, 95, 239, 135, 279, 111, 255, 134, 278, 94, 238, 125, 269, 110, 254, 74, 218, 109, 253, 124, 268, 86, 230)(63, 207, 97, 241, 123, 267, 143, 287, 140, 284, 108, 252, 72, 216, 100, 244, 128, 272, 144, 288, 137, 281, 98, 242)(91, 235, 129, 273, 141, 285, 139, 283, 113, 257, 136, 280, 96, 240, 131, 275, 142, 286, 138, 282, 105, 249, 130, 274)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 294)(3, 289)(4, 297)(5, 300)(6, 290)(7, 304)(8, 305)(9, 292)(10, 309)(11, 312)(12, 293)(13, 316)(14, 317)(15, 320)(16, 295)(17, 296)(18, 325)(19, 328)(20, 329)(21, 298)(22, 333)(23, 336)(24, 299)(25, 340)(26, 341)(27, 344)(28, 301)(29, 302)(30, 349)(31, 351)(32, 303)(33, 335)(34, 355)(35, 357)(36, 358)(37, 306)(38, 360)(39, 362)(40, 307)(41, 308)(42, 352)(43, 338)(44, 354)(45, 310)(46, 348)(47, 321)(48, 311)(49, 371)(50, 331)(51, 374)(52, 313)(53, 314)(54, 377)(55, 379)(56, 315)(57, 368)(58, 381)(59, 382)(60, 334)(61, 318)(62, 384)(63, 319)(64, 330)(65, 388)(66, 332)(67, 322)(68, 393)(69, 323)(70, 324)(71, 386)(72, 326)(73, 392)(74, 327)(75, 399)(76, 401)(77, 402)(78, 397)(79, 369)(80, 345)(81, 367)(82, 407)(83, 337)(84, 409)(85, 411)(86, 339)(87, 413)(88, 414)(89, 342)(90, 416)(91, 343)(92, 419)(93, 346)(94, 347)(95, 418)(96, 350)(97, 415)(98, 359)(99, 426)(100, 353)(101, 408)(102, 423)(103, 427)(104, 361)(105, 356)(106, 417)(107, 405)(108, 421)(109, 366)(110, 424)(111, 363)(112, 425)(113, 364)(114, 365)(115, 428)(116, 420)(117, 395)(118, 429)(119, 370)(120, 389)(121, 372)(122, 430)(123, 373)(124, 432)(125, 375)(126, 376)(127, 385)(128, 378)(129, 394)(130, 383)(131, 380)(132, 404)(133, 396)(134, 431)(135, 390)(136, 398)(137, 400)(138, 387)(139, 391)(140, 403)(141, 406)(142, 410)(143, 422)(144, 412)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 12 ), ( 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 E19.2143
Graph:: simple bipartite
	v = 156 e = 288 f = 96
	degree seq :: [ 2^144, 24^12 ]

E19.2147 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 127>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y1 * Y2^-1)^2, Y2^-1 * R * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * R * Y2^-1 * Y1, Y2^-3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-2, (Y2^-2 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^6, Y2^-2 * Y1 * Y2^-2 * R * Y2^-2 * R * Y2^-2 * Y1 * Y2^-2 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 25, 169)(14, 158, 29, 173)(15, 159, 31, 175)(16, 160, 33, 177)(18, 162, 37, 181)(19, 163, 39, 183)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 47, 191)(24, 168, 49, 193)(26, 170, 53, 197)(27, 171, 55, 199)(28, 172, 57, 201)(30, 174, 61, 205)(32, 176, 60, 204)(34, 178, 67, 211)(35, 179, 58, 202)(36, 180, 69, 213)(38, 182, 73, 217)(40, 184, 75, 219)(42, 186, 51, 195)(43, 187, 72, 216)(44, 188, 48, 192)(46, 190, 66, 210)(50, 194, 84, 228)(52, 196, 86, 230)(54, 198, 90, 234)(56, 200, 92, 236)(59, 203, 89, 233)(62, 206, 83, 227)(63, 207, 80, 224)(64, 208, 97, 241)(65, 209, 98, 242)(68, 212, 102, 246)(70, 214, 105, 249)(71, 215, 100, 244)(74, 218, 109, 253)(76, 220, 113, 257)(77, 221, 114, 258)(78, 222, 111, 255)(79, 223, 108, 252)(81, 225, 117, 261)(82, 226, 118, 262)(85, 229, 122, 266)(87, 231, 125, 269)(88, 232, 120, 264)(91, 235, 129, 273)(93, 237, 133, 277)(94, 238, 134, 278)(95, 239, 131, 275)(96, 240, 128, 272)(99, 243, 124, 268)(101, 245, 121, 265)(103, 247, 126, 270)(104, 248, 119, 263)(106, 250, 123, 267)(107, 251, 130, 274)(110, 254, 127, 271)(112, 256, 132, 276)(115, 259, 136, 280)(116, 260, 135, 279)(137, 281, 144, 288)(138, 282, 143, 287)(139, 283, 142, 286)(140, 284, 141, 285)(289, 433, 291, 435, 296, 440, 306, 450, 326, 470, 335, 479, 368, 512, 345, 489, 334, 478, 310, 454, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 314, 458, 342, 486, 319, 463, 351, 495, 329, 473, 350, 494, 318, 462, 302, 446, 294, 438)(295, 439, 303, 447, 320, 464, 352, 496, 381, 525, 346, 490, 316, 460, 301, 445, 315, 459, 344, 488, 322, 466, 304, 448)(297, 441, 307, 451, 328, 472, 338, 482, 312, 456, 299, 443, 311, 455, 336, 480, 369, 513, 364, 508, 330, 474, 308, 452)(305, 449, 323, 467, 356, 500, 391, 535, 413, 557, 388, 532, 354, 498, 321, 465, 353, 497, 387, 531, 358, 502, 324, 468)(309, 453, 331, 475, 365, 509, 398, 542, 362, 506, 327, 471, 361, 505, 396, 540, 422, 566, 403, 547, 366, 510, 332, 476)(313, 457, 339, 483, 373, 517, 411, 555, 393, 537, 408, 552, 371, 515, 337, 481, 370, 514, 407, 551, 375, 519, 340, 484)(317, 461, 347, 491, 382, 526, 418, 562, 379, 523, 343, 487, 378, 522, 416, 560, 402, 546, 423, 567, 383, 527, 348, 492)(325, 469, 359, 503, 394, 538, 428, 572, 404, 548, 367, 511, 333, 477, 357, 501, 392, 536, 427, 571, 395, 539, 360, 504)(341, 485, 376, 520, 414, 558, 432, 576, 424, 568, 384, 528, 349, 493, 374, 518, 412, 556, 431, 575, 415, 559, 377, 521)(355, 499, 389, 533, 405, 549, 397, 541, 425, 569, 386, 530, 421, 565, 400, 544, 363, 507, 399, 543, 426, 570, 390, 534)(372, 516, 409, 553, 385, 529, 417, 561, 429, 573, 406, 550, 401, 545, 420, 564, 380, 524, 419, 563, 430, 574, 410, 554)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 313)(13, 294)(14, 317)(15, 319)(16, 321)(17, 296)(18, 325)(19, 327)(20, 329)(21, 298)(22, 333)(23, 335)(24, 337)(25, 300)(26, 341)(27, 343)(28, 345)(29, 302)(30, 349)(31, 303)(32, 348)(33, 304)(34, 355)(35, 346)(36, 357)(37, 306)(38, 361)(39, 307)(40, 363)(41, 308)(42, 339)(43, 360)(44, 336)(45, 310)(46, 354)(47, 311)(48, 332)(49, 312)(50, 372)(51, 330)(52, 374)(53, 314)(54, 378)(55, 315)(56, 380)(57, 316)(58, 323)(59, 377)(60, 320)(61, 318)(62, 371)(63, 368)(64, 385)(65, 386)(66, 334)(67, 322)(68, 390)(69, 324)(70, 393)(71, 388)(72, 331)(73, 326)(74, 397)(75, 328)(76, 401)(77, 402)(78, 399)(79, 396)(80, 351)(81, 405)(82, 406)(83, 350)(84, 338)(85, 410)(86, 340)(87, 413)(88, 408)(89, 347)(90, 342)(91, 417)(92, 344)(93, 421)(94, 422)(95, 419)(96, 416)(97, 352)(98, 353)(99, 412)(100, 359)(101, 409)(102, 356)(103, 414)(104, 407)(105, 358)(106, 411)(107, 418)(108, 367)(109, 362)(110, 415)(111, 366)(112, 420)(113, 364)(114, 365)(115, 424)(116, 423)(117, 369)(118, 370)(119, 392)(120, 376)(121, 389)(122, 373)(123, 394)(124, 387)(125, 375)(126, 391)(127, 398)(128, 384)(129, 379)(130, 395)(131, 383)(132, 400)(133, 381)(134, 382)(135, 404)(136, 403)(137, 432)(138, 431)(139, 430)(140, 429)(141, 428)(142, 427)(143, 426)(144, 425)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 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 E19.2148
Graph:: bipartite
	v = 84 e = 288 f = 168
	degree seq :: [ 4^72, 24^12 ]

E19.2148 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 127>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y1^6, Y3^-2 * Y1^3 * Y3^-4, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^3 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 36, 180, 18, 162, 11, 155)(5, 149, 14, 158, 31, 175, 37, 181, 20, 164, 7, 151)(8, 152, 21, 165, 12, 156, 29, 173, 39, 183, 17, 161)(10, 154, 25, 169, 53, 197, 70, 214, 50, 194, 27, 171)(15, 159, 34, 178, 44, 188, 56, 200, 65, 209, 32, 176)(19, 163, 41, 185, 75, 219, 63, 207, 33, 177, 43, 187)(22, 166, 47, 191, 73, 217, 60, 204, 82, 226, 45, 189)(24, 168, 51, 195, 28, 172, 40, 184, 74, 218, 49, 193)(26, 170, 55, 199, 67, 211, 35, 179, 69, 213, 57, 201)(30, 174, 46, 190, 72, 216, 38, 182, 71, 215, 62, 206)(42, 186, 77, 221, 84, 228, 48, 192, 86, 230, 78, 222)(52, 196, 91, 235, 101, 245, 61, 205, 100, 244, 89, 233)(54, 198, 93, 237, 58, 202, 88, 232, 130, 274, 92, 236)(59, 203, 90, 234, 129, 273, 87, 231, 114, 258, 99, 243)(64, 208, 103, 247, 120, 264, 80, 224, 68, 212, 105, 249)(66, 210, 106, 250, 115, 259, 76, 220, 116, 260, 79, 223)(81, 225, 121, 265, 140, 284, 113, 257, 85, 229, 123, 267)(83, 227, 124, 268, 102, 246, 111, 255, 135, 279, 112, 256)(94, 238, 126, 270, 117, 261, 98, 242, 118, 262, 128, 272)(95, 239, 122, 266, 96, 240, 110, 254, 125, 269, 108, 252)(97, 241, 119, 263, 141, 285, 134, 278, 143, 287, 136, 280)(104, 248, 138, 282, 133, 277, 107, 251, 131, 275, 137, 281)(109, 253, 127, 271, 142, 286, 139, 283, 144, 288, 132, 276)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 316)(12, 318)(13, 319)(14, 320)(15, 293)(16, 324)(17, 326)(18, 294)(19, 330)(20, 332)(21, 333)(22, 296)(23, 337)(24, 297)(25, 299)(26, 344)(27, 346)(28, 347)(29, 301)(30, 349)(31, 351)(32, 352)(33, 302)(34, 355)(35, 303)(36, 358)(37, 304)(38, 340)(39, 361)(40, 306)(41, 308)(42, 348)(43, 367)(44, 368)(45, 369)(46, 309)(47, 372)(48, 310)(49, 375)(50, 311)(51, 377)(52, 312)(53, 380)(54, 313)(55, 315)(56, 325)(57, 384)(58, 385)(59, 386)(60, 317)(61, 328)(62, 390)(63, 336)(64, 392)(65, 345)(66, 321)(67, 396)(68, 322)(69, 341)(70, 323)(71, 327)(72, 400)(73, 401)(74, 389)(75, 403)(76, 329)(77, 331)(78, 406)(79, 407)(80, 395)(81, 410)(82, 366)(83, 334)(84, 414)(85, 335)(86, 363)(87, 382)(88, 338)(89, 419)(90, 339)(91, 360)(92, 422)(93, 416)(94, 342)(95, 343)(96, 411)(97, 412)(98, 376)(99, 415)(100, 350)(101, 426)(102, 424)(103, 353)(104, 364)(105, 420)(106, 421)(107, 354)(108, 428)(109, 356)(110, 357)(111, 359)(112, 429)(113, 413)(114, 362)(115, 431)(116, 425)(117, 365)(118, 387)(119, 381)(120, 430)(121, 370)(122, 399)(123, 397)(124, 398)(125, 371)(126, 417)(127, 373)(128, 374)(129, 432)(130, 405)(131, 408)(132, 378)(133, 379)(134, 423)(135, 383)(136, 394)(137, 388)(138, 393)(139, 391)(140, 427)(141, 404)(142, 402)(143, 418)(144, 409)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2147
Graph:: simple bipartite
	v = 168 e = 288 f = 84
	degree seq :: [ 2^144, 12^24 ]

E19.2149 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = C6 x S4 (small group id <144, 188>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1 * T2 * T1^-1)^2, T1^2 * T2 * T1^-4 * T2 * T1^2, T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2, (T1 * T2)^6, T1^12, (T2 * T1 * T2 * T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 85, 84, 46, 22, 10, 4)(3, 7, 15, 31, 48, 87, 123, 116, 75, 38, 18, 8)(6, 13, 27, 55, 86, 122, 109, 83, 45, 62, 30, 14)(9, 19, 39, 50, 24, 49, 88, 125, 119, 80, 42, 20)(12, 25, 51, 91, 121, 114, 82, 44, 21, 43, 54, 26)(16, 33, 66, 110, 124, 95, 53, 94, 74, 113, 69, 34)(17, 35, 70, 108, 63, 107, 81, 120, 130, 93, 52, 36)(28, 57, 41, 79, 118, 128, 90, 127, 106, 134, 101, 58)(29, 59, 102, 133, 97, 78, 40, 77, 117, 126, 89, 60)(32, 64, 92, 61, 105, 76, 98, 56, 37, 73, 96, 65)(67, 99, 72, 104, 132, 142, 136, 143, 139, 144, 138, 111)(68, 103, 129, 141, 137, 115, 71, 100, 131, 140, 135, 112)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 63)(33, 67)(34, 68)(35, 71)(36, 72)(38, 74)(39, 76)(42, 64)(43, 81)(44, 66)(46, 75)(47, 86)(49, 89)(50, 90)(51, 92)(54, 96)(55, 97)(57, 99)(58, 100)(59, 103)(60, 104)(62, 106)(65, 109)(69, 91)(70, 114)(73, 88)(77, 111)(78, 115)(79, 112)(80, 102)(82, 98)(83, 117)(84, 119)(85, 121)(87, 124)(93, 129)(94, 131)(95, 132)(101, 125)(105, 123)(107, 135)(108, 136)(110, 137)(113, 139)(116, 130)(118, 122)(120, 138)(126, 140)(127, 141)(128, 142)(133, 143)(134, 144)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2151
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.2150 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2 * T1^-2)^2, (T1 * T2 * T1^-1 * T2 * T1)^2, T2 * T1^2 * T2 * T1 * T2 * T1^2 * T2 * T1^-3, (T2 * T1^2)^4, (T2 * T1 * T2 * T1^-1)^3, (T1^-1 * T2)^6, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 85, 84, 46, 22, 10, 4)(3, 7, 15, 31, 63, 107, 124, 87, 48, 38, 18, 8)(6, 13, 27, 55, 45, 83, 115, 122, 86, 62, 30, 14)(9, 19, 39, 76, 117, 128, 90, 50, 24, 49, 42, 20)(12, 25, 51, 44, 21, 43, 81, 110, 121, 96, 54, 26)(16, 33, 66, 109, 75, 116, 82, 120, 132, 94, 53, 34)(17, 35, 69, 112, 123, 93, 52, 92, 64, 108, 72, 36)(28, 57, 99, 134, 106, 79, 41, 78, 119, 127, 89, 58)(29, 59, 40, 77, 118, 126, 88, 125, 97, 133, 104, 60)(32, 65, 91, 74, 37, 73, 95, 56, 98, 80, 105, 61)(67, 111, 137, 140, 131, 100, 71, 114, 139, 142, 129, 103)(68, 102, 70, 113, 138, 143, 135, 144, 136, 141, 130, 101)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 67)(34, 68)(35, 70)(36, 71)(38, 75)(39, 73)(42, 80)(43, 69)(44, 82)(46, 63)(47, 86)(49, 88)(50, 89)(51, 91)(54, 95)(55, 97)(57, 100)(58, 101)(59, 102)(60, 103)(62, 106)(65, 90)(66, 110)(72, 96)(74, 115)(76, 99)(77, 114)(78, 113)(79, 111)(81, 105)(83, 119)(84, 117)(85, 121)(87, 123)(92, 129)(93, 130)(94, 131)(98, 124)(104, 128)(107, 132)(108, 135)(109, 136)(112, 137)(116, 139)(118, 122)(120, 138)(125, 140)(126, 141)(127, 142)(133, 143)(134, 144)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2152
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 12 e = 72 f = 24
	degree seq :: [ 12^12 ]

E19.2151 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = C6 x S4 (small group id <144, 188>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2 * T1^-2)^2, (T2 * T1 * T2 * T1^-1)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 22, 18, 8)(6, 13, 25, 21, 28, 14)(9, 19, 24, 12, 23, 20)(16, 30, 47, 34, 50, 31)(17, 32, 46, 29, 45, 33)(26, 40, 63, 44, 66, 41)(27, 42, 62, 39, 61, 43)(35, 53, 58, 37, 57, 54)(36, 55, 60, 38, 59, 56)(48, 72, 100, 75, 103, 73)(49, 67, 94, 71, 87, 74)(51, 76, 84, 69, 97, 77)(52, 78, 99, 70, 98, 79)(64, 90, 119, 93, 122, 91)(65, 85, 114, 89, 81, 92)(68, 95, 118, 88, 117, 96)(80, 108, 113, 83, 112, 109)(82, 110, 116, 86, 115, 111)(101, 120, 136, 132, 144, 131)(102, 128, 138, 130, 106, 123)(104, 133, 139, 124, 137, 134)(105, 121, 141, 127, 143, 125)(107, 126, 140, 129, 142, 135)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 29)(18, 34)(19, 35)(20, 36)(23, 37)(24, 38)(25, 39)(28, 44)(30, 48)(31, 49)(32, 51)(33, 52)(40, 64)(41, 65)(42, 67)(43, 68)(45, 69)(46, 70)(47, 71)(50, 75)(53, 80)(54, 77)(55, 81)(56, 82)(57, 83)(58, 84)(59, 85)(60, 86)(61, 87)(62, 88)(63, 89)(66, 93)(72, 101)(73, 102)(74, 104)(76, 105)(78, 106)(79, 107)(90, 120)(91, 121)(92, 123)(94, 124)(95, 125)(96, 126)(97, 127)(98, 128)(99, 129)(100, 130)(103, 132)(108, 131)(109, 133)(110, 134)(111, 135)(112, 136)(113, 137)(114, 138)(115, 139)(116, 140)(117, 141)(118, 142)(119, 143)(122, 144)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2149
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 6^24 ]

E19.2152 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^2 * T2 * T1^-1)^2, (T1^-1 * T2 * T1^-1 * T2 * T1 * T2)^2, (T1 * T2 * T1)^4, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T1^-1 * T2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 57, 82, 46, 32)(17, 33, 60, 99, 63, 34)(21, 40, 71, 110, 73, 41)(22, 42, 74, 112, 77, 43)(26, 50, 86, 115, 76, 51)(27, 52, 37, 67, 91, 53)(30, 56, 95, 113, 92, 54)(35, 64, 104, 116, 79, 65)(38, 68, 75, 114, 108, 69)(45, 80, 118, 111, 72, 81)(49, 85, 70, 109, 122, 83)(55, 93, 117, 141, 132, 94)(58, 98, 134, 139, 128, 90)(59, 89, 61, 100, 120, 88)(62, 101, 131, 140, 119, 102)(84, 123, 138, 136, 106, 124)(87, 127, 107, 135, 143, 121)(96, 133, 144, 126, 105, 129)(97, 125, 103, 137, 142, 130)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 58)(32, 59)(33, 61)(34, 62)(36, 64)(39, 70)(40, 60)(41, 72)(42, 75)(43, 76)(44, 79)(47, 83)(48, 84)(50, 87)(51, 88)(52, 89)(53, 90)(56, 96)(57, 97)(63, 103)(65, 105)(66, 106)(67, 101)(68, 100)(69, 107)(71, 109)(73, 95)(74, 113)(77, 116)(78, 117)(80, 119)(81, 120)(82, 121)(85, 125)(86, 126)(91, 129)(92, 130)(93, 131)(94, 128)(98, 123)(99, 135)(102, 136)(104, 137)(108, 133)(110, 132)(111, 134)(112, 138)(114, 139)(115, 140)(118, 142)(122, 144)(124, 143)(127, 141)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2150
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 24 e = 72 f = 12
	degree seq :: [ 6^24 ]

E19.2153 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C6 x S4 (small group id <144, 188>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-2 * T1 * T2^-1)^2, (T2 * T1 * T2^-1 * T1)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 21, 32, 16)(9, 19, 34, 17, 33, 20)(11, 22, 38, 28, 40, 23)(13, 26, 42, 24, 41, 27)(29, 45, 70, 50, 72, 46)(31, 48, 74, 47, 73, 49)(35, 53, 77, 51, 76, 54)(36, 55, 79, 52, 78, 56)(37, 57, 84, 62, 86, 58)(39, 60, 88, 59, 87, 61)(43, 65, 91, 63, 90, 66)(44, 67, 93, 64, 92, 68)(69, 97, 127, 102, 128, 98)(71, 100, 129, 99, 81, 101)(75, 104, 131, 103, 130, 105)(80, 108, 133, 106, 132, 109)(82, 110, 135, 107, 134, 111)(83, 112, 136, 117, 137, 113)(85, 115, 138, 114, 95, 116)(89, 119, 140, 118, 139, 120)(94, 123, 142, 121, 141, 124)(96, 125, 144, 122, 143, 126)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 161)(154, 165)(156, 168)(158, 172)(159, 173)(160, 175)(162, 169)(163, 179)(164, 180)(166, 181)(167, 183)(170, 187)(171, 188)(174, 191)(176, 194)(177, 195)(178, 196)(182, 203)(184, 206)(185, 207)(186, 208)(189, 213)(190, 215)(192, 204)(193, 219)(197, 224)(198, 210)(199, 225)(200, 226)(201, 227)(202, 229)(205, 233)(209, 238)(211, 239)(212, 240)(214, 243)(216, 246)(217, 231)(218, 247)(220, 250)(221, 235)(222, 244)(223, 251)(228, 258)(230, 261)(232, 262)(234, 265)(236, 259)(237, 266)(241, 256)(242, 267)(245, 260)(248, 268)(249, 269)(252, 257)(253, 263)(254, 264)(255, 270)(271, 285)(272, 281)(273, 282)(274, 286)(275, 287)(276, 280)(277, 283)(278, 284)(279, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2161
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 144 f = 12
	degree seq :: [ 2^72, 6^24 ]

E19.2154 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-1 * T1 * T2^2)^2, (T2^2 * T1 * T2^-1 * T1)^2, (T2^-1 * T1 * T2 * T1)^3, (T1 * T2^-2)^4, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1, T2^3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 67, 39, 20)(11, 22, 43, 77, 45, 23)(13, 26, 50, 86, 52, 27)(17, 33, 62, 102, 63, 34)(21, 40, 71, 110, 73, 41)(24, 46, 81, 121, 82, 47)(28, 53, 90, 129, 92, 54)(29, 55, 94, 132, 95, 56)(31, 59, 36, 66, 99, 60)(35, 64, 104, 137, 105, 65)(38, 68, 103, 136, 108, 69)(42, 74, 113, 139, 114, 75)(44, 78, 49, 85, 118, 79)(48, 83, 123, 144, 124, 84)(51, 87, 122, 143, 127, 88)(57, 96, 70, 109, 133, 97)(61, 100, 135, 111, 72, 101)(76, 115, 89, 128, 140, 116)(80, 119, 142, 130, 91, 120)(93, 131, 107, 125, 141, 117)(98, 112, 138, 126, 106, 134)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 161)(154, 165)(156, 168)(158, 172)(159, 173)(160, 175)(162, 179)(163, 180)(164, 182)(166, 186)(167, 188)(169, 192)(170, 193)(171, 195)(174, 201)(176, 191)(177, 205)(178, 189)(181, 197)(183, 214)(184, 194)(185, 216)(187, 220)(190, 224)(196, 233)(198, 235)(199, 237)(200, 223)(202, 242)(203, 222)(204, 219)(206, 236)(207, 241)(208, 247)(209, 239)(210, 231)(211, 250)(212, 229)(213, 251)(215, 253)(217, 225)(218, 256)(221, 261)(226, 260)(227, 266)(228, 258)(230, 269)(232, 270)(234, 272)(238, 274)(240, 259)(243, 264)(244, 271)(245, 262)(246, 267)(248, 265)(249, 273)(252, 263)(254, 268)(255, 257)(275, 288)(276, 287)(277, 286)(278, 285)(279, 284)(280, 283)(281, 282)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2162
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 144 f = 12
	degree seq :: [ 2^72, 6^24 ]

E19.2155 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C6 x S4 (small group id <144, 188>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T2^-1 * T1^2)^2, T1^6, T2^5 * T1 * T2^-3 * T1, T2^3 * T1^-1 * T2^-5 * T1^-1, T2^-1 * T1 * T2^2 * T1^-1 * T2^2 * T1 * T2^-1 * T1, T1^-1 * T2^3 * T1^-1 * T2^7 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 56, 102, 134, 91, 70, 35, 15, 5)(2, 7, 19, 42, 82, 57, 104, 123, 92, 48, 22, 8)(4, 12, 30, 61, 103, 127, 113, 69, 97, 52, 24, 9)(6, 17, 38, 74, 118, 83, 129, 112, 124, 78, 40, 18)(11, 28, 59, 105, 117, 75, 68, 34, 67, 99, 54, 25)(13, 31, 63, 109, 139, 100, 138, 96, 137, 106, 60, 29)(14, 32, 64, 101, 55, 27, 58, 87, 131, 111, 66, 33)(16, 36, 71, 114, 140, 119, 143, 133, 141, 115, 72, 37)(20, 44, 85, 130, 98, 53, 90, 47, 89, 126, 80, 41)(21, 45, 86, 128, 81, 43, 84, 51, 95, 132, 88, 46)(23, 49, 93, 135, 107, 62, 108, 65, 110, 136, 94, 50)(39, 76, 120, 144, 125, 79, 122, 77, 121, 142, 116, 73)(145, 146, 150, 160, 157, 148)(147, 153, 167, 180, 162, 155)(149, 158, 175, 181, 164, 151)(152, 165, 156, 173, 183, 161)(154, 169, 197, 215, 194, 171)(159, 178, 188, 216, 209, 176)(163, 185, 223, 207, 177, 187)(166, 191, 220, 204, 231, 189)(168, 195, 172, 184, 221, 193)(170, 199, 244, 258, 242, 201)(174, 190, 219, 182, 217, 206)(179, 213, 254, 259, 256, 211)(186, 225, 271, 253, 269, 227)(192, 235, 275, 250, 277, 233)(196, 240, 265, 222, 267, 239)(198, 230, 202, 238, 264, 234)(200, 226, 262, 284, 283, 247)(203, 228, 210, 237, 266, 224)(205, 251, 263, 218, 261, 246)(208, 252, 260, 229, 212, 232)(214, 236, 268, 285, 281, 241)(243, 273, 288, 280, 257, 272)(245, 276, 248, 274, 286, 282)(249, 270, 287, 279, 255, 278)
	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) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2163
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 6^24, 12^12 ]

E19.2156 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2)^4, (T2^-2 * T1 * T2^-1)^2, T2 * T1^-1 * T2^-3 * T1 * T2^2 * T1^-2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1, T1^-1 * T2^-2 * T1^3 * T2^-2 * T1^-2, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 63, 94, 141, 129, 84, 38, 15, 5)(2, 7, 19, 46, 102, 133, 128, 75, 114, 54, 22, 8)(4, 12, 31, 72, 109, 50, 108, 132, 121, 59, 24, 9)(6, 17, 41, 90, 137, 126, 66, 29, 68, 98, 44, 18)(11, 28, 67, 37, 83, 91, 138, 96, 43, 95, 61, 25)(13, 33, 76, 120, 79, 34, 78, 93, 140, 122, 70, 30)(14, 35, 80, 111, 77, 117, 143, 104, 62, 27, 64, 36)(16, 39, 85, 130, 115, 55, 105, 49, 107, 135, 88, 40)(20, 48, 106, 53, 113, 82, 127, 134, 87, 60, 100, 45)(21, 51, 110, 71, 32, 74, 119, 58, 101, 47, 103, 52)(23, 56, 116, 81, 86, 131, 123, 65, 124, 73, 118, 57)(42, 92, 139, 97, 142, 112, 144, 125, 69, 99, 136, 89)(145, 146, 150, 160, 157, 148)(147, 153, 167, 199, 173, 155)(149, 158, 178, 193, 164, 151)(152, 165, 194, 237, 186, 161)(154, 169, 204, 232, 209, 171)(156, 174, 213, 270, 219, 176)(159, 181, 226, 229, 225, 179)(162, 187, 238, 276, 230, 183)(163, 189, 243, 214, 248, 191)(166, 197, 256, 220, 255, 195)(168, 202, 235, 185, 233, 200)(170, 206, 266, 274, 257, 198)(172, 210, 269, 275, 252, 196)(175, 215, 239, 188, 241, 217)(177, 184, 231, 277, 273, 221)(180, 218, 272, 278, 236, 222)(182, 216, 268, 279, 234, 227)(190, 245, 203, 264, 286, 242)(192, 249, 201, 261, 285, 240)(205, 254, 224, 260, 280, 244)(207, 258, 281, 251, 223, 265)(208, 267, 288, 250, 282, 263)(211, 247, 287, 262, 283, 271)(212, 259, 284, 253, 228, 246)
	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) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2164
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 6^24, 12^12 ]

E19.2157 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C6 x S4 (small group id <144, 188>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1 * T2 * T1^-1)^2, T1^2 * T2 * T1^-4 * T2 * T1^2, (T2 * T1)^6, T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2, (T2 * T1 * T2 * T1^-1)^3, T1^12 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 63)(33, 67)(34, 68)(35, 71)(36, 72)(38, 74)(39, 76)(42, 64)(43, 81)(44, 66)(46, 75)(47, 86)(49, 89)(50, 90)(51, 92)(54, 96)(55, 97)(57, 99)(58, 100)(59, 103)(60, 104)(62, 106)(65, 109)(69, 91)(70, 114)(73, 88)(77, 111)(78, 115)(79, 112)(80, 102)(82, 98)(83, 117)(84, 119)(85, 121)(87, 124)(93, 129)(94, 131)(95, 132)(101, 125)(105, 123)(107, 135)(108, 136)(110, 137)(113, 139)(116, 130)(118, 122)(120, 138)(126, 140)(127, 141)(128, 142)(133, 143)(134, 144)(145, 146, 149, 155, 167, 191, 229, 228, 190, 166, 154, 148)(147, 151, 159, 175, 192, 231, 267, 260, 219, 182, 162, 152)(150, 157, 171, 199, 230, 266, 253, 227, 189, 206, 174, 158)(153, 163, 183, 194, 168, 193, 232, 269, 263, 224, 186, 164)(156, 169, 195, 235, 265, 258, 226, 188, 165, 187, 198, 170)(160, 177, 210, 254, 268, 239, 197, 238, 218, 257, 213, 178)(161, 179, 214, 252, 207, 251, 225, 264, 274, 237, 196, 180)(172, 201, 185, 223, 262, 272, 234, 271, 250, 278, 245, 202)(173, 203, 246, 277, 241, 222, 184, 221, 261, 270, 233, 204)(176, 208, 236, 205, 249, 220, 242, 200, 181, 217, 240, 209)(211, 243, 216, 248, 276, 286, 280, 287, 283, 288, 282, 255)(212, 247, 273, 285, 281, 259, 215, 244, 275, 284, 279, 256)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2159
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 144 f = 24
	degree seq :: [ 2^72, 12^12 ]

E19.2158 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2 * T1^-2)^2, (T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1^2)^4, (T1 * T2 * T1^-1 * T2 * T1 * T2)^2, T2 * T1^2 * T2 * T1 * T2 * T1^2 * T2 * T1^-3, (T2 * T1^-1)^6, T1^12 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 67)(34, 68)(35, 70)(36, 71)(38, 75)(39, 73)(42, 80)(43, 69)(44, 82)(46, 63)(47, 86)(49, 88)(50, 89)(51, 91)(54, 95)(55, 97)(57, 100)(58, 101)(59, 102)(60, 103)(62, 106)(65, 90)(66, 110)(72, 96)(74, 115)(76, 99)(77, 114)(78, 113)(79, 111)(81, 105)(83, 119)(84, 117)(85, 121)(87, 123)(92, 129)(93, 130)(94, 131)(98, 124)(104, 128)(107, 132)(108, 135)(109, 136)(112, 137)(116, 139)(118, 122)(120, 138)(125, 140)(126, 141)(127, 142)(133, 143)(134, 144)(145, 146, 149, 155, 167, 191, 229, 228, 190, 166, 154, 148)(147, 151, 159, 175, 207, 251, 268, 231, 192, 182, 162, 152)(150, 157, 171, 199, 189, 227, 259, 266, 230, 206, 174, 158)(153, 163, 183, 220, 261, 272, 234, 194, 168, 193, 186, 164)(156, 169, 195, 188, 165, 187, 225, 254, 265, 240, 198, 170)(160, 177, 210, 253, 219, 260, 226, 264, 276, 238, 197, 178)(161, 179, 213, 256, 267, 237, 196, 236, 208, 252, 216, 180)(172, 201, 243, 278, 250, 223, 185, 222, 263, 271, 233, 202)(173, 203, 184, 221, 262, 270, 232, 269, 241, 277, 248, 204)(176, 209, 235, 218, 181, 217, 239, 200, 242, 224, 249, 205)(211, 255, 281, 284, 275, 244, 215, 258, 283, 286, 273, 247)(212, 246, 214, 257, 282, 287, 279, 288, 280, 285, 274, 245)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2160
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 144 f = 24
	degree seq :: [ 2^72, 12^12 ]

E19.2159 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C6 x S4 (small group id <144, 188>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-2 * T1 * T2^-1)^2, (T2 * T1 * T2^-1 * T1)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 18, 162, 10, 154, 4, 148)(2, 146, 5, 149, 12, 156, 25, 169, 14, 158, 6, 150)(7, 151, 15, 159, 30, 174, 21, 165, 32, 176, 16, 160)(9, 153, 19, 163, 34, 178, 17, 161, 33, 177, 20, 164)(11, 155, 22, 166, 38, 182, 28, 172, 40, 184, 23, 167)(13, 157, 26, 170, 42, 186, 24, 168, 41, 185, 27, 171)(29, 173, 45, 189, 70, 214, 50, 194, 72, 216, 46, 190)(31, 175, 48, 192, 74, 218, 47, 191, 73, 217, 49, 193)(35, 179, 53, 197, 77, 221, 51, 195, 76, 220, 54, 198)(36, 180, 55, 199, 79, 223, 52, 196, 78, 222, 56, 200)(37, 181, 57, 201, 84, 228, 62, 206, 86, 230, 58, 202)(39, 183, 60, 204, 88, 232, 59, 203, 87, 231, 61, 205)(43, 187, 65, 209, 91, 235, 63, 207, 90, 234, 66, 210)(44, 188, 67, 211, 93, 237, 64, 208, 92, 236, 68, 212)(69, 213, 97, 241, 127, 271, 102, 246, 128, 272, 98, 242)(71, 215, 100, 244, 129, 273, 99, 243, 81, 225, 101, 245)(75, 219, 104, 248, 131, 275, 103, 247, 130, 274, 105, 249)(80, 224, 108, 252, 133, 277, 106, 250, 132, 276, 109, 253)(82, 226, 110, 254, 135, 279, 107, 251, 134, 278, 111, 255)(83, 227, 112, 256, 136, 280, 117, 261, 137, 281, 113, 257)(85, 229, 115, 259, 138, 282, 114, 258, 95, 239, 116, 260)(89, 233, 119, 263, 140, 284, 118, 262, 139, 283, 120, 264)(94, 238, 123, 267, 142, 286, 121, 265, 141, 285, 124, 268)(96, 240, 125, 269, 144, 288, 122, 266, 143, 287, 126, 270)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 161)(9, 148)(10, 165)(11, 149)(12, 168)(13, 150)(14, 172)(15, 173)(16, 175)(17, 152)(18, 169)(19, 179)(20, 180)(21, 154)(22, 181)(23, 183)(24, 156)(25, 162)(26, 187)(27, 188)(28, 158)(29, 159)(30, 191)(31, 160)(32, 194)(33, 195)(34, 196)(35, 163)(36, 164)(37, 166)(38, 203)(39, 167)(40, 206)(41, 207)(42, 208)(43, 170)(44, 171)(45, 213)(46, 215)(47, 174)(48, 204)(49, 219)(50, 176)(51, 177)(52, 178)(53, 224)(54, 210)(55, 225)(56, 226)(57, 227)(58, 229)(59, 182)(60, 192)(61, 233)(62, 184)(63, 185)(64, 186)(65, 238)(66, 198)(67, 239)(68, 240)(69, 189)(70, 243)(71, 190)(72, 246)(73, 231)(74, 247)(75, 193)(76, 250)(77, 235)(78, 244)(79, 251)(80, 197)(81, 199)(82, 200)(83, 201)(84, 258)(85, 202)(86, 261)(87, 217)(88, 262)(89, 205)(90, 265)(91, 221)(92, 259)(93, 266)(94, 209)(95, 211)(96, 212)(97, 256)(98, 267)(99, 214)(100, 222)(101, 260)(102, 216)(103, 218)(104, 268)(105, 269)(106, 220)(107, 223)(108, 257)(109, 263)(110, 264)(111, 270)(112, 241)(113, 252)(114, 228)(115, 236)(116, 245)(117, 230)(118, 232)(119, 253)(120, 254)(121, 234)(122, 237)(123, 242)(124, 248)(125, 249)(126, 255)(127, 285)(128, 281)(129, 282)(130, 286)(131, 287)(132, 280)(133, 283)(134, 284)(135, 288)(136, 276)(137, 272)(138, 273)(139, 277)(140, 278)(141, 271)(142, 274)(143, 275)(144, 279)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2157
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 144 f = 84
	degree seq :: [ 12^24 ]

E19.2160 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-1 * T1 * T2^2)^2, (T2^2 * T1 * T2^-1 * T1)^2, (T2^-1 * T1 * T2 * T1)^3, (T1 * T2^-2)^4, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1, T2^3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 18, 162, 10, 154, 4, 148)(2, 146, 5, 149, 12, 156, 25, 169, 14, 158, 6, 150)(7, 151, 15, 159, 30, 174, 58, 202, 32, 176, 16, 160)(9, 153, 19, 163, 37, 181, 67, 211, 39, 183, 20, 164)(11, 155, 22, 166, 43, 187, 77, 221, 45, 189, 23, 167)(13, 157, 26, 170, 50, 194, 86, 230, 52, 196, 27, 171)(17, 161, 33, 177, 62, 206, 102, 246, 63, 207, 34, 178)(21, 165, 40, 184, 71, 215, 110, 254, 73, 217, 41, 185)(24, 168, 46, 190, 81, 225, 121, 265, 82, 226, 47, 191)(28, 172, 53, 197, 90, 234, 129, 273, 92, 236, 54, 198)(29, 173, 55, 199, 94, 238, 132, 276, 95, 239, 56, 200)(31, 175, 59, 203, 36, 180, 66, 210, 99, 243, 60, 204)(35, 179, 64, 208, 104, 248, 137, 281, 105, 249, 65, 209)(38, 182, 68, 212, 103, 247, 136, 280, 108, 252, 69, 213)(42, 186, 74, 218, 113, 257, 139, 283, 114, 258, 75, 219)(44, 188, 78, 222, 49, 193, 85, 229, 118, 262, 79, 223)(48, 192, 83, 227, 123, 267, 144, 288, 124, 268, 84, 228)(51, 195, 87, 231, 122, 266, 143, 287, 127, 271, 88, 232)(57, 201, 96, 240, 70, 214, 109, 253, 133, 277, 97, 241)(61, 205, 100, 244, 135, 279, 111, 255, 72, 216, 101, 245)(76, 220, 115, 259, 89, 233, 128, 272, 140, 284, 116, 260)(80, 224, 119, 263, 142, 286, 130, 274, 91, 235, 120, 264)(93, 237, 131, 275, 107, 251, 125, 269, 141, 285, 117, 261)(98, 242, 112, 256, 138, 282, 126, 270, 106, 250, 134, 278)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 161)(9, 148)(10, 165)(11, 149)(12, 168)(13, 150)(14, 172)(15, 173)(16, 175)(17, 152)(18, 179)(19, 180)(20, 182)(21, 154)(22, 186)(23, 188)(24, 156)(25, 192)(26, 193)(27, 195)(28, 158)(29, 159)(30, 201)(31, 160)(32, 191)(33, 205)(34, 189)(35, 162)(36, 163)(37, 197)(38, 164)(39, 214)(40, 194)(41, 216)(42, 166)(43, 220)(44, 167)(45, 178)(46, 224)(47, 176)(48, 169)(49, 170)(50, 184)(51, 171)(52, 233)(53, 181)(54, 235)(55, 237)(56, 223)(57, 174)(58, 242)(59, 222)(60, 219)(61, 177)(62, 236)(63, 241)(64, 247)(65, 239)(66, 231)(67, 250)(68, 229)(69, 251)(70, 183)(71, 253)(72, 185)(73, 225)(74, 256)(75, 204)(76, 187)(77, 261)(78, 203)(79, 200)(80, 190)(81, 217)(82, 260)(83, 266)(84, 258)(85, 212)(86, 269)(87, 210)(88, 270)(89, 196)(90, 272)(91, 198)(92, 206)(93, 199)(94, 274)(95, 209)(96, 259)(97, 207)(98, 202)(99, 264)(100, 271)(101, 262)(102, 267)(103, 208)(104, 265)(105, 273)(106, 211)(107, 213)(108, 263)(109, 215)(110, 268)(111, 257)(112, 218)(113, 255)(114, 228)(115, 240)(116, 226)(117, 221)(118, 245)(119, 252)(120, 243)(121, 248)(122, 227)(123, 246)(124, 254)(125, 230)(126, 232)(127, 244)(128, 234)(129, 249)(130, 238)(131, 288)(132, 287)(133, 286)(134, 285)(135, 284)(136, 283)(137, 282)(138, 281)(139, 280)(140, 279)(141, 278)(142, 277)(143, 276)(144, 275)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2158
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 144 f = 84
	degree seq :: [ 12^24 ]

E19.2161 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C6 x S4 (small group id <144, 188>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T2^-1 * T1^2)^2, T1^6, T2^5 * T1 * T2^-3 * T1, T2^3 * T1^-1 * T2^-5 * T1^-1, T2^-1 * T1 * T2^2 * T1^-1 * T2^2 * T1 * T2^-1 * T1, T1^-1 * T2^3 * T1^-1 * T2^7 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 26, 170, 56, 200, 102, 246, 134, 278, 91, 235, 70, 214, 35, 179, 15, 159, 5, 149)(2, 146, 7, 151, 19, 163, 42, 186, 82, 226, 57, 201, 104, 248, 123, 267, 92, 236, 48, 192, 22, 166, 8, 152)(4, 148, 12, 156, 30, 174, 61, 205, 103, 247, 127, 271, 113, 257, 69, 213, 97, 241, 52, 196, 24, 168, 9, 153)(6, 150, 17, 161, 38, 182, 74, 218, 118, 262, 83, 227, 129, 273, 112, 256, 124, 268, 78, 222, 40, 184, 18, 162)(11, 155, 28, 172, 59, 203, 105, 249, 117, 261, 75, 219, 68, 212, 34, 178, 67, 211, 99, 243, 54, 198, 25, 169)(13, 157, 31, 175, 63, 207, 109, 253, 139, 283, 100, 244, 138, 282, 96, 240, 137, 281, 106, 250, 60, 204, 29, 173)(14, 158, 32, 176, 64, 208, 101, 245, 55, 199, 27, 171, 58, 202, 87, 231, 131, 275, 111, 255, 66, 210, 33, 177)(16, 160, 36, 180, 71, 215, 114, 258, 140, 284, 119, 263, 143, 287, 133, 277, 141, 285, 115, 259, 72, 216, 37, 181)(20, 164, 44, 188, 85, 229, 130, 274, 98, 242, 53, 197, 90, 234, 47, 191, 89, 233, 126, 270, 80, 224, 41, 185)(21, 165, 45, 189, 86, 230, 128, 272, 81, 225, 43, 187, 84, 228, 51, 195, 95, 239, 132, 276, 88, 232, 46, 190)(23, 167, 49, 193, 93, 237, 135, 279, 107, 251, 62, 206, 108, 252, 65, 209, 110, 254, 136, 280, 94, 238, 50, 194)(39, 183, 76, 220, 120, 264, 144, 288, 125, 269, 79, 223, 122, 266, 77, 221, 121, 265, 142, 286, 116, 260, 73, 217)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 160)(7, 149)(8, 165)(9, 167)(10, 169)(11, 147)(12, 173)(13, 148)(14, 175)(15, 178)(16, 157)(17, 152)(18, 155)(19, 185)(20, 151)(21, 156)(22, 191)(23, 180)(24, 195)(25, 197)(26, 199)(27, 154)(28, 184)(29, 183)(30, 190)(31, 181)(32, 159)(33, 187)(34, 188)(35, 213)(36, 162)(37, 164)(38, 217)(39, 161)(40, 221)(41, 223)(42, 225)(43, 163)(44, 216)(45, 166)(46, 219)(47, 220)(48, 235)(49, 168)(50, 171)(51, 172)(52, 240)(53, 215)(54, 230)(55, 244)(56, 226)(57, 170)(58, 238)(59, 228)(60, 231)(61, 251)(62, 174)(63, 177)(64, 252)(65, 176)(66, 237)(67, 179)(68, 232)(69, 254)(70, 236)(71, 194)(72, 209)(73, 206)(74, 261)(75, 182)(76, 204)(77, 193)(78, 267)(79, 207)(80, 203)(81, 271)(82, 262)(83, 186)(84, 210)(85, 212)(86, 202)(87, 189)(88, 208)(89, 192)(90, 198)(91, 275)(92, 268)(93, 266)(94, 264)(95, 196)(96, 265)(97, 214)(98, 201)(99, 273)(100, 258)(101, 276)(102, 205)(103, 200)(104, 274)(105, 270)(106, 277)(107, 263)(108, 260)(109, 269)(110, 259)(111, 278)(112, 211)(113, 272)(114, 242)(115, 256)(116, 229)(117, 246)(118, 284)(119, 218)(120, 234)(121, 222)(122, 224)(123, 239)(124, 285)(125, 227)(126, 287)(127, 253)(128, 243)(129, 288)(130, 286)(131, 250)(132, 248)(133, 233)(134, 249)(135, 255)(136, 257)(137, 241)(138, 245)(139, 247)(140, 283)(141, 281)(142, 282)(143, 279)(144, 280)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2153
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 144 f = 96
	degree seq :: [ 24^12 ]

E19.2162 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2)^4, (T2^-2 * T1 * T2^-1)^2, T2 * T1^-1 * T2^-3 * T1 * T2^2 * T1^-2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1, T1^-1 * T2^-2 * T1^3 * T2^-2 * T1^-2, T2^12 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 26, 170, 63, 207, 94, 238, 141, 285, 129, 273, 84, 228, 38, 182, 15, 159, 5, 149)(2, 146, 7, 151, 19, 163, 46, 190, 102, 246, 133, 277, 128, 272, 75, 219, 114, 258, 54, 198, 22, 166, 8, 152)(4, 148, 12, 156, 31, 175, 72, 216, 109, 253, 50, 194, 108, 252, 132, 276, 121, 265, 59, 203, 24, 168, 9, 153)(6, 150, 17, 161, 41, 185, 90, 234, 137, 281, 126, 270, 66, 210, 29, 173, 68, 212, 98, 242, 44, 188, 18, 162)(11, 155, 28, 172, 67, 211, 37, 181, 83, 227, 91, 235, 138, 282, 96, 240, 43, 187, 95, 239, 61, 205, 25, 169)(13, 157, 33, 177, 76, 220, 120, 264, 79, 223, 34, 178, 78, 222, 93, 237, 140, 284, 122, 266, 70, 214, 30, 174)(14, 158, 35, 179, 80, 224, 111, 255, 77, 221, 117, 261, 143, 287, 104, 248, 62, 206, 27, 171, 64, 208, 36, 180)(16, 160, 39, 183, 85, 229, 130, 274, 115, 259, 55, 199, 105, 249, 49, 193, 107, 251, 135, 279, 88, 232, 40, 184)(20, 164, 48, 192, 106, 250, 53, 197, 113, 257, 82, 226, 127, 271, 134, 278, 87, 231, 60, 204, 100, 244, 45, 189)(21, 165, 51, 195, 110, 254, 71, 215, 32, 176, 74, 218, 119, 263, 58, 202, 101, 245, 47, 191, 103, 247, 52, 196)(23, 167, 56, 200, 116, 260, 81, 225, 86, 230, 131, 275, 123, 267, 65, 209, 124, 268, 73, 217, 118, 262, 57, 201)(42, 186, 92, 236, 139, 283, 97, 241, 142, 286, 112, 256, 144, 288, 125, 269, 69, 213, 99, 243, 136, 280, 89, 233)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 160)(7, 149)(8, 165)(9, 167)(10, 169)(11, 147)(12, 174)(13, 148)(14, 178)(15, 181)(16, 157)(17, 152)(18, 187)(19, 189)(20, 151)(21, 194)(22, 197)(23, 199)(24, 202)(25, 204)(26, 206)(27, 154)(28, 210)(29, 155)(30, 213)(31, 215)(32, 156)(33, 184)(34, 193)(35, 159)(36, 218)(37, 226)(38, 216)(39, 162)(40, 231)(41, 233)(42, 161)(43, 238)(44, 241)(45, 243)(46, 245)(47, 163)(48, 249)(49, 164)(50, 237)(51, 166)(52, 172)(53, 256)(54, 170)(55, 173)(56, 168)(57, 261)(58, 235)(59, 264)(60, 232)(61, 254)(62, 266)(63, 258)(64, 267)(65, 171)(66, 269)(67, 247)(68, 259)(69, 270)(70, 248)(71, 239)(72, 268)(73, 175)(74, 272)(75, 176)(76, 255)(77, 177)(78, 180)(79, 265)(80, 260)(81, 179)(82, 229)(83, 182)(84, 246)(85, 225)(86, 183)(87, 277)(88, 209)(89, 200)(90, 227)(91, 185)(92, 222)(93, 186)(94, 276)(95, 188)(96, 192)(97, 217)(98, 190)(99, 214)(100, 205)(101, 203)(102, 212)(103, 287)(104, 191)(105, 201)(106, 282)(107, 223)(108, 196)(109, 228)(110, 224)(111, 195)(112, 220)(113, 198)(114, 281)(115, 284)(116, 280)(117, 285)(118, 283)(119, 208)(120, 286)(121, 207)(122, 274)(123, 288)(124, 279)(125, 275)(126, 219)(127, 211)(128, 278)(129, 221)(130, 257)(131, 252)(132, 230)(133, 273)(134, 236)(135, 234)(136, 244)(137, 251)(138, 263)(139, 271)(140, 253)(141, 240)(142, 242)(143, 262)(144, 250)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2154
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 144 f = 96
	degree seq :: [ 24^12 ]

E19.2163 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C6 x S4 (small group id <144, 188>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1 * T2 * T1^-1)^2, T1^2 * T2 * T1^-4 * T2 * T1^2, (T2 * T1)^6, T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2, (T2 * T1 * T2 * T1^-1)^3, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147)(2, 146, 6, 150)(4, 148, 9, 153)(5, 149, 12, 156)(7, 151, 16, 160)(8, 152, 17, 161)(10, 154, 21, 165)(11, 155, 24, 168)(13, 157, 28, 172)(14, 158, 29, 173)(15, 159, 32, 176)(18, 162, 37, 181)(19, 163, 40, 184)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 48, 192)(25, 169, 52, 196)(26, 170, 53, 197)(27, 171, 56, 200)(30, 174, 61, 205)(31, 175, 63, 207)(33, 177, 67, 211)(34, 178, 68, 212)(35, 179, 71, 215)(36, 180, 72, 216)(38, 182, 74, 218)(39, 183, 76, 220)(42, 186, 64, 208)(43, 187, 81, 225)(44, 188, 66, 210)(46, 190, 75, 219)(47, 191, 86, 230)(49, 193, 89, 233)(50, 194, 90, 234)(51, 195, 92, 236)(54, 198, 96, 240)(55, 199, 97, 241)(57, 201, 99, 243)(58, 202, 100, 244)(59, 203, 103, 247)(60, 204, 104, 248)(62, 206, 106, 250)(65, 209, 109, 253)(69, 213, 91, 235)(70, 214, 114, 258)(73, 217, 88, 232)(77, 221, 111, 255)(78, 222, 115, 259)(79, 223, 112, 256)(80, 224, 102, 246)(82, 226, 98, 242)(83, 227, 117, 261)(84, 228, 119, 263)(85, 229, 121, 265)(87, 231, 124, 268)(93, 237, 129, 273)(94, 238, 131, 275)(95, 239, 132, 276)(101, 245, 125, 269)(105, 249, 123, 267)(107, 251, 135, 279)(108, 252, 136, 280)(110, 254, 137, 281)(113, 257, 139, 283)(116, 260, 130, 274)(118, 262, 122, 266)(120, 264, 138, 282)(126, 270, 140, 284)(127, 271, 141, 285)(128, 272, 142, 286)(133, 277, 143, 287)(134, 278, 144, 288)
	L = (1, 146)(2, 149)(3, 151)(4, 145)(5, 155)(6, 157)(7, 159)(8, 147)(9, 163)(10, 148)(11, 167)(12, 169)(13, 171)(14, 150)(15, 175)(16, 177)(17, 179)(18, 152)(19, 183)(20, 153)(21, 187)(22, 154)(23, 191)(24, 193)(25, 195)(26, 156)(27, 199)(28, 201)(29, 203)(30, 158)(31, 192)(32, 208)(33, 210)(34, 160)(35, 214)(36, 161)(37, 217)(38, 162)(39, 194)(40, 221)(41, 223)(42, 164)(43, 198)(44, 165)(45, 206)(46, 166)(47, 229)(48, 231)(49, 232)(50, 168)(51, 235)(52, 180)(53, 238)(54, 170)(55, 230)(56, 181)(57, 185)(58, 172)(59, 246)(60, 173)(61, 249)(62, 174)(63, 251)(64, 236)(65, 176)(66, 254)(67, 243)(68, 247)(69, 178)(70, 252)(71, 244)(72, 248)(73, 240)(74, 257)(75, 182)(76, 242)(77, 261)(78, 184)(79, 262)(80, 186)(81, 264)(82, 188)(83, 189)(84, 190)(85, 228)(86, 266)(87, 267)(88, 269)(89, 204)(90, 271)(91, 265)(92, 205)(93, 196)(94, 218)(95, 197)(96, 209)(97, 222)(98, 200)(99, 216)(100, 275)(101, 202)(102, 277)(103, 273)(104, 276)(105, 220)(106, 278)(107, 225)(108, 207)(109, 227)(110, 268)(111, 211)(112, 212)(113, 213)(114, 226)(115, 215)(116, 219)(117, 270)(118, 272)(119, 224)(120, 274)(121, 258)(122, 253)(123, 260)(124, 239)(125, 263)(126, 233)(127, 250)(128, 234)(129, 285)(130, 237)(131, 284)(132, 286)(133, 241)(134, 245)(135, 256)(136, 287)(137, 259)(138, 255)(139, 288)(140, 279)(141, 281)(142, 280)(143, 283)(144, 282)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2155
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.2164 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2 * T1^-2)^2, (T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1^2)^4, (T1 * T2 * T1^-1 * T2 * T1 * T2)^2, T2 * T1^2 * T2 * T1 * T2 * T1^2 * T2 * T1^-3, (T2 * T1^-1)^6, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147)(2, 146, 6, 150)(4, 148, 9, 153)(5, 149, 12, 156)(7, 151, 16, 160)(8, 152, 17, 161)(10, 154, 21, 165)(11, 155, 24, 168)(13, 157, 28, 172)(14, 158, 29, 173)(15, 159, 32, 176)(18, 162, 37, 181)(19, 163, 40, 184)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 48, 192)(25, 169, 52, 196)(26, 170, 53, 197)(27, 171, 56, 200)(30, 174, 61, 205)(31, 175, 64, 208)(33, 177, 67, 211)(34, 178, 68, 212)(35, 179, 70, 214)(36, 180, 71, 215)(38, 182, 75, 219)(39, 183, 73, 217)(42, 186, 80, 224)(43, 187, 69, 213)(44, 188, 82, 226)(46, 190, 63, 207)(47, 191, 86, 230)(49, 193, 88, 232)(50, 194, 89, 233)(51, 195, 91, 235)(54, 198, 95, 239)(55, 199, 97, 241)(57, 201, 100, 244)(58, 202, 101, 245)(59, 203, 102, 246)(60, 204, 103, 247)(62, 206, 106, 250)(65, 209, 90, 234)(66, 210, 110, 254)(72, 216, 96, 240)(74, 218, 115, 259)(76, 220, 99, 243)(77, 221, 114, 258)(78, 222, 113, 257)(79, 223, 111, 255)(81, 225, 105, 249)(83, 227, 119, 263)(84, 228, 117, 261)(85, 229, 121, 265)(87, 231, 123, 267)(92, 236, 129, 273)(93, 237, 130, 274)(94, 238, 131, 275)(98, 242, 124, 268)(104, 248, 128, 272)(107, 251, 132, 276)(108, 252, 135, 279)(109, 253, 136, 280)(112, 256, 137, 281)(116, 260, 139, 283)(118, 262, 122, 266)(120, 264, 138, 282)(125, 269, 140, 284)(126, 270, 141, 285)(127, 271, 142, 286)(133, 277, 143, 287)(134, 278, 144, 288)
	L = (1, 146)(2, 149)(3, 151)(4, 145)(5, 155)(6, 157)(7, 159)(8, 147)(9, 163)(10, 148)(11, 167)(12, 169)(13, 171)(14, 150)(15, 175)(16, 177)(17, 179)(18, 152)(19, 183)(20, 153)(21, 187)(22, 154)(23, 191)(24, 193)(25, 195)(26, 156)(27, 199)(28, 201)(29, 203)(30, 158)(31, 207)(32, 209)(33, 210)(34, 160)(35, 213)(36, 161)(37, 217)(38, 162)(39, 220)(40, 221)(41, 222)(42, 164)(43, 225)(44, 165)(45, 227)(46, 166)(47, 229)(48, 182)(49, 186)(50, 168)(51, 188)(52, 236)(53, 178)(54, 170)(55, 189)(56, 242)(57, 243)(58, 172)(59, 184)(60, 173)(61, 176)(62, 174)(63, 251)(64, 252)(65, 235)(66, 253)(67, 255)(68, 246)(69, 256)(70, 257)(71, 258)(72, 180)(73, 239)(74, 181)(75, 260)(76, 261)(77, 262)(78, 263)(79, 185)(80, 249)(81, 254)(82, 264)(83, 259)(84, 190)(85, 228)(86, 206)(87, 192)(88, 269)(89, 202)(90, 194)(91, 218)(92, 208)(93, 196)(94, 197)(95, 200)(96, 198)(97, 277)(98, 224)(99, 278)(100, 215)(101, 212)(102, 214)(103, 211)(104, 204)(105, 205)(106, 223)(107, 268)(108, 216)(109, 219)(110, 265)(111, 281)(112, 267)(113, 282)(114, 283)(115, 266)(116, 226)(117, 272)(118, 270)(119, 271)(120, 276)(121, 240)(122, 230)(123, 237)(124, 231)(125, 241)(126, 232)(127, 233)(128, 234)(129, 247)(130, 245)(131, 244)(132, 238)(133, 248)(134, 250)(135, 288)(136, 285)(137, 284)(138, 287)(139, 286)(140, 275)(141, 274)(142, 273)(143, 279)(144, 280)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2156
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.2165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C6 x S4 (small group id <144, 188>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^6, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^-3)^2, (R * Y2^-2 * Y1)^2, (Y2^-1 * Y1 * Y2^-2)^2, (Y1 * Y2 * Y1 * Y2^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 24, 168)(14, 158, 28, 172)(15, 159, 29, 173)(16, 160, 31, 175)(18, 162, 25, 169)(19, 163, 35, 179)(20, 164, 36, 180)(22, 166, 37, 181)(23, 167, 39, 183)(26, 170, 43, 187)(27, 171, 44, 188)(30, 174, 47, 191)(32, 176, 50, 194)(33, 177, 51, 195)(34, 178, 52, 196)(38, 182, 59, 203)(40, 184, 62, 206)(41, 185, 63, 207)(42, 186, 64, 208)(45, 189, 69, 213)(46, 190, 71, 215)(48, 192, 60, 204)(49, 193, 75, 219)(53, 197, 80, 224)(54, 198, 66, 210)(55, 199, 81, 225)(56, 200, 82, 226)(57, 201, 83, 227)(58, 202, 85, 229)(61, 205, 89, 233)(65, 209, 94, 238)(67, 211, 95, 239)(68, 212, 96, 240)(70, 214, 99, 243)(72, 216, 102, 246)(73, 217, 87, 231)(74, 218, 103, 247)(76, 220, 106, 250)(77, 221, 91, 235)(78, 222, 100, 244)(79, 223, 107, 251)(84, 228, 114, 258)(86, 230, 117, 261)(88, 232, 118, 262)(90, 234, 121, 265)(92, 236, 115, 259)(93, 237, 122, 266)(97, 241, 112, 256)(98, 242, 123, 267)(101, 245, 116, 260)(104, 248, 124, 268)(105, 249, 125, 269)(108, 252, 113, 257)(109, 253, 119, 263)(110, 254, 120, 264)(111, 255, 126, 270)(127, 271, 141, 285)(128, 272, 137, 281)(129, 273, 138, 282)(130, 274, 142, 286)(131, 275, 143, 287)(132, 276, 136, 280)(133, 277, 139, 283)(134, 278, 140, 284)(135, 279, 144, 288)(289, 433, 291, 435, 296, 440, 306, 450, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 313, 457, 302, 446, 294, 438)(295, 439, 303, 447, 318, 462, 309, 453, 320, 464, 304, 448)(297, 441, 307, 451, 322, 466, 305, 449, 321, 465, 308, 452)(299, 443, 310, 454, 326, 470, 316, 460, 328, 472, 311, 455)(301, 445, 314, 458, 330, 474, 312, 456, 329, 473, 315, 459)(317, 461, 333, 477, 358, 502, 338, 482, 360, 504, 334, 478)(319, 463, 336, 480, 362, 506, 335, 479, 361, 505, 337, 481)(323, 467, 341, 485, 365, 509, 339, 483, 364, 508, 342, 486)(324, 468, 343, 487, 367, 511, 340, 484, 366, 510, 344, 488)(325, 469, 345, 489, 372, 516, 350, 494, 374, 518, 346, 490)(327, 471, 348, 492, 376, 520, 347, 491, 375, 519, 349, 493)(331, 475, 353, 497, 379, 523, 351, 495, 378, 522, 354, 498)(332, 476, 355, 499, 381, 525, 352, 496, 380, 524, 356, 500)(357, 501, 385, 529, 415, 559, 390, 534, 416, 560, 386, 530)(359, 503, 388, 532, 417, 561, 387, 531, 369, 513, 389, 533)(363, 507, 392, 536, 419, 563, 391, 535, 418, 562, 393, 537)(368, 512, 396, 540, 421, 565, 394, 538, 420, 564, 397, 541)(370, 514, 398, 542, 423, 567, 395, 539, 422, 566, 399, 543)(371, 515, 400, 544, 424, 568, 405, 549, 425, 569, 401, 545)(373, 517, 403, 547, 426, 570, 402, 546, 383, 527, 404, 548)(377, 521, 407, 551, 428, 572, 406, 550, 427, 571, 408, 552)(382, 526, 411, 555, 430, 574, 409, 553, 429, 573, 412, 556)(384, 528, 413, 557, 432, 576, 410, 554, 431, 575, 414, 558)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 312)(13, 294)(14, 316)(15, 317)(16, 319)(17, 296)(18, 313)(19, 323)(20, 324)(21, 298)(22, 325)(23, 327)(24, 300)(25, 306)(26, 331)(27, 332)(28, 302)(29, 303)(30, 335)(31, 304)(32, 338)(33, 339)(34, 340)(35, 307)(36, 308)(37, 310)(38, 347)(39, 311)(40, 350)(41, 351)(42, 352)(43, 314)(44, 315)(45, 357)(46, 359)(47, 318)(48, 348)(49, 363)(50, 320)(51, 321)(52, 322)(53, 368)(54, 354)(55, 369)(56, 370)(57, 371)(58, 373)(59, 326)(60, 336)(61, 377)(62, 328)(63, 329)(64, 330)(65, 382)(66, 342)(67, 383)(68, 384)(69, 333)(70, 387)(71, 334)(72, 390)(73, 375)(74, 391)(75, 337)(76, 394)(77, 379)(78, 388)(79, 395)(80, 341)(81, 343)(82, 344)(83, 345)(84, 402)(85, 346)(86, 405)(87, 361)(88, 406)(89, 349)(90, 409)(91, 365)(92, 403)(93, 410)(94, 353)(95, 355)(96, 356)(97, 400)(98, 411)(99, 358)(100, 366)(101, 404)(102, 360)(103, 362)(104, 412)(105, 413)(106, 364)(107, 367)(108, 401)(109, 407)(110, 408)(111, 414)(112, 385)(113, 396)(114, 372)(115, 380)(116, 389)(117, 374)(118, 376)(119, 397)(120, 398)(121, 378)(122, 381)(123, 386)(124, 392)(125, 393)(126, 399)(127, 429)(128, 425)(129, 426)(130, 430)(131, 431)(132, 424)(133, 427)(134, 428)(135, 432)(136, 420)(137, 416)(138, 417)(139, 421)(140, 422)(141, 415)(142, 418)(143, 419)(144, 423)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2171
Graph:: bipartite
	v = 96 e = 288 f = 156
	degree seq :: [ 4^72, 12^24 ]

E19.2166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y1 * Y2^2 * Y1 * R * Y2^2 * R, (R * Y2^-2 * Y1)^2, Y2^-1 * R * Y2^-2 * R * Y2^-1 * Y1 * Y2^2 * Y1, (Y2^-1 * Y1 * Y2 * Y1)^3, (Y1 * Y2^-2)^4, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-3 * Y1, (Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 24, 168)(14, 158, 28, 172)(15, 159, 29, 173)(16, 160, 31, 175)(18, 162, 35, 179)(19, 163, 36, 180)(20, 164, 38, 182)(22, 166, 42, 186)(23, 167, 44, 188)(25, 169, 48, 192)(26, 170, 49, 193)(27, 171, 51, 195)(30, 174, 57, 201)(32, 176, 47, 191)(33, 177, 61, 205)(34, 178, 45, 189)(37, 181, 53, 197)(39, 183, 70, 214)(40, 184, 50, 194)(41, 185, 72, 216)(43, 187, 76, 220)(46, 190, 80, 224)(52, 196, 89, 233)(54, 198, 91, 235)(55, 199, 93, 237)(56, 200, 79, 223)(58, 202, 98, 242)(59, 203, 78, 222)(60, 204, 75, 219)(62, 206, 92, 236)(63, 207, 97, 241)(64, 208, 103, 247)(65, 209, 95, 239)(66, 210, 87, 231)(67, 211, 106, 250)(68, 212, 85, 229)(69, 213, 107, 251)(71, 215, 109, 253)(73, 217, 81, 225)(74, 218, 112, 256)(77, 221, 117, 261)(82, 226, 116, 260)(83, 227, 122, 266)(84, 228, 114, 258)(86, 230, 125, 269)(88, 232, 126, 270)(90, 234, 128, 272)(94, 238, 130, 274)(96, 240, 115, 259)(99, 243, 120, 264)(100, 244, 127, 271)(101, 245, 118, 262)(102, 246, 123, 267)(104, 248, 121, 265)(105, 249, 129, 273)(108, 252, 119, 263)(110, 254, 124, 268)(111, 255, 113, 257)(131, 275, 144, 288)(132, 276, 143, 287)(133, 277, 142, 286)(134, 278, 141, 285)(135, 279, 140, 284)(136, 280, 139, 283)(137, 281, 138, 282)(289, 433, 291, 435, 296, 440, 306, 450, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 313, 457, 302, 446, 294, 438)(295, 439, 303, 447, 318, 462, 346, 490, 320, 464, 304, 448)(297, 441, 307, 451, 325, 469, 355, 499, 327, 471, 308, 452)(299, 443, 310, 454, 331, 475, 365, 509, 333, 477, 311, 455)(301, 445, 314, 458, 338, 482, 374, 518, 340, 484, 315, 459)(305, 449, 321, 465, 350, 494, 390, 534, 351, 495, 322, 466)(309, 453, 328, 472, 359, 503, 398, 542, 361, 505, 329, 473)(312, 456, 334, 478, 369, 513, 409, 553, 370, 514, 335, 479)(316, 460, 341, 485, 378, 522, 417, 561, 380, 524, 342, 486)(317, 461, 343, 487, 382, 526, 420, 564, 383, 527, 344, 488)(319, 463, 347, 491, 324, 468, 354, 498, 387, 531, 348, 492)(323, 467, 352, 496, 392, 536, 425, 569, 393, 537, 353, 497)(326, 470, 356, 500, 391, 535, 424, 568, 396, 540, 357, 501)(330, 474, 362, 506, 401, 545, 427, 571, 402, 546, 363, 507)(332, 476, 366, 510, 337, 481, 373, 517, 406, 550, 367, 511)(336, 480, 371, 515, 411, 555, 432, 576, 412, 556, 372, 516)(339, 483, 375, 519, 410, 554, 431, 575, 415, 559, 376, 520)(345, 489, 384, 528, 358, 502, 397, 541, 421, 565, 385, 529)(349, 493, 388, 532, 423, 567, 399, 543, 360, 504, 389, 533)(364, 508, 403, 547, 377, 521, 416, 560, 428, 572, 404, 548)(368, 512, 407, 551, 430, 574, 418, 562, 379, 523, 408, 552)(381, 525, 419, 563, 395, 539, 413, 557, 429, 573, 405, 549)(386, 530, 400, 544, 426, 570, 414, 558, 394, 538, 422, 566)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 312)(13, 294)(14, 316)(15, 317)(16, 319)(17, 296)(18, 323)(19, 324)(20, 326)(21, 298)(22, 330)(23, 332)(24, 300)(25, 336)(26, 337)(27, 339)(28, 302)(29, 303)(30, 345)(31, 304)(32, 335)(33, 349)(34, 333)(35, 306)(36, 307)(37, 341)(38, 308)(39, 358)(40, 338)(41, 360)(42, 310)(43, 364)(44, 311)(45, 322)(46, 368)(47, 320)(48, 313)(49, 314)(50, 328)(51, 315)(52, 377)(53, 325)(54, 379)(55, 381)(56, 367)(57, 318)(58, 386)(59, 366)(60, 363)(61, 321)(62, 380)(63, 385)(64, 391)(65, 383)(66, 375)(67, 394)(68, 373)(69, 395)(70, 327)(71, 397)(72, 329)(73, 369)(74, 400)(75, 348)(76, 331)(77, 405)(78, 347)(79, 344)(80, 334)(81, 361)(82, 404)(83, 410)(84, 402)(85, 356)(86, 413)(87, 354)(88, 414)(89, 340)(90, 416)(91, 342)(92, 350)(93, 343)(94, 418)(95, 353)(96, 403)(97, 351)(98, 346)(99, 408)(100, 415)(101, 406)(102, 411)(103, 352)(104, 409)(105, 417)(106, 355)(107, 357)(108, 407)(109, 359)(110, 412)(111, 401)(112, 362)(113, 399)(114, 372)(115, 384)(116, 370)(117, 365)(118, 389)(119, 396)(120, 387)(121, 392)(122, 371)(123, 390)(124, 398)(125, 374)(126, 376)(127, 388)(128, 378)(129, 393)(130, 382)(131, 432)(132, 431)(133, 430)(134, 429)(135, 428)(136, 427)(137, 426)(138, 425)(139, 424)(140, 423)(141, 422)(142, 421)(143, 420)(144, 419)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2172
Graph:: bipartite
	v = 96 e = 288 f = 156
	degree seq :: [ 4^72, 12^24 ]

E19.2167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C6 x S4 (small group id <144, 188>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y2 * Y1^-2)^2, Y1^6, Y2^5 * Y1 * Y2^-3 * Y1, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, Y2^3 * Y1^-1 * Y2^-5 * Y1^-1, Y1^-1 * Y2^3 * Y1^-1 * Y2^7 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 36, 180, 18, 162, 11, 155)(5, 149, 14, 158, 31, 175, 37, 181, 20, 164, 7, 151)(8, 152, 21, 165, 12, 156, 29, 173, 39, 183, 17, 161)(10, 154, 25, 169, 53, 197, 71, 215, 50, 194, 27, 171)(15, 159, 34, 178, 44, 188, 72, 216, 65, 209, 32, 176)(19, 163, 41, 185, 79, 223, 63, 207, 33, 177, 43, 187)(22, 166, 47, 191, 76, 220, 60, 204, 87, 231, 45, 189)(24, 168, 51, 195, 28, 172, 40, 184, 77, 221, 49, 193)(26, 170, 55, 199, 100, 244, 114, 258, 98, 242, 57, 201)(30, 174, 46, 190, 75, 219, 38, 182, 73, 217, 62, 206)(35, 179, 69, 213, 110, 254, 115, 259, 112, 256, 67, 211)(42, 186, 81, 225, 127, 271, 109, 253, 125, 269, 83, 227)(48, 192, 91, 235, 131, 275, 106, 250, 133, 277, 89, 233)(52, 196, 96, 240, 121, 265, 78, 222, 123, 267, 95, 239)(54, 198, 86, 230, 58, 202, 94, 238, 120, 264, 90, 234)(56, 200, 82, 226, 118, 262, 140, 284, 139, 283, 103, 247)(59, 203, 84, 228, 66, 210, 93, 237, 122, 266, 80, 224)(61, 205, 107, 251, 119, 263, 74, 218, 117, 261, 102, 246)(64, 208, 108, 252, 116, 260, 85, 229, 68, 212, 88, 232)(70, 214, 92, 236, 124, 268, 141, 285, 137, 281, 97, 241)(99, 243, 129, 273, 144, 288, 136, 280, 113, 257, 128, 272)(101, 245, 132, 276, 104, 248, 130, 274, 142, 286, 138, 282)(105, 249, 126, 270, 143, 287, 135, 279, 111, 255, 134, 278)(289, 433, 291, 435, 298, 442, 314, 458, 344, 488, 390, 534, 422, 566, 379, 523, 358, 502, 323, 467, 303, 447, 293, 437)(290, 434, 295, 439, 307, 451, 330, 474, 370, 514, 345, 489, 392, 536, 411, 555, 380, 524, 336, 480, 310, 454, 296, 440)(292, 436, 300, 444, 318, 462, 349, 493, 391, 535, 415, 559, 401, 545, 357, 501, 385, 529, 340, 484, 312, 456, 297, 441)(294, 438, 305, 449, 326, 470, 362, 506, 406, 550, 371, 515, 417, 561, 400, 544, 412, 556, 366, 510, 328, 472, 306, 450)(299, 443, 316, 460, 347, 491, 393, 537, 405, 549, 363, 507, 356, 500, 322, 466, 355, 499, 387, 531, 342, 486, 313, 457)(301, 445, 319, 463, 351, 495, 397, 541, 427, 571, 388, 532, 426, 570, 384, 528, 425, 569, 394, 538, 348, 492, 317, 461)(302, 446, 320, 464, 352, 496, 389, 533, 343, 487, 315, 459, 346, 490, 375, 519, 419, 563, 399, 543, 354, 498, 321, 465)(304, 448, 324, 468, 359, 503, 402, 546, 428, 572, 407, 551, 431, 575, 421, 565, 429, 573, 403, 547, 360, 504, 325, 469)(308, 452, 332, 476, 373, 517, 418, 562, 386, 530, 341, 485, 378, 522, 335, 479, 377, 521, 414, 558, 368, 512, 329, 473)(309, 453, 333, 477, 374, 518, 416, 560, 369, 513, 331, 475, 372, 516, 339, 483, 383, 527, 420, 564, 376, 520, 334, 478)(311, 455, 337, 481, 381, 525, 423, 567, 395, 539, 350, 494, 396, 540, 353, 497, 398, 542, 424, 568, 382, 526, 338, 482)(327, 471, 364, 508, 408, 552, 432, 576, 413, 557, 367, 511, 410, 554, 365, 509, 409, 553, 430, 574, 404, 548, 361, 505)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 316)(12, 318)(13, 319)(14, 320)(15, 293)(16, 324)(17, 326)(18, 294)(19, 330)(20, 332)(21, 333)(22, 296)(23, 337)(24, 297)(25, 299)(26, 344)(27, 346)(28, 347)(29, 301)(30, 349)(31, 351)(32, 352)(33, 302)(34, 355)(35, 303)(36, 359)(37, 304)(38, 362)(39, 364)(40, 306)(41, 308)(42, 370)(43, 372)(44, 373)(45, 374)(46, 309)(47, 377)(48, 310)(49, 381)(50, 311)(51, 383)(52, 312)(53, 378)(54, 313)(55, 315)(56, 390)(57, 392)(58, 375)(59, 393)(60, 317)(61, 391)(62, 396)(63, 397)(64, 389)(65, 398)(66, 321)(67, 387)(68, 322)(69, 385)(70, 323)(71, 402)(72, 325)(73, 327)(74, 406)(75, 356)(76, 408)(77, 409)(78, 328)(79, 410)(80, 329)(81, 331)(82, 345)(83, 417)(84, 339)(85, 418)(86, 416)(87, 419)(88, 334)(89, 414)(90, 335)(91, 358)(92, 336)(93, 423)(94, 338)(95, 420)(96, 425)(97, 340)(98, 341)(99, 342)(100, 426)(101, 343)(102, 422)(103, 415)(104, 411)(105, 405)(106, 348)(107, 350)(108, 353)(109, 427)(110, 424)(111, 354)(112, 412)(113, 357)(114, 428)(115, 360)(116, 361)(117, 363)(118, 371)(119, 431)(120, 432)(121, 430)(122, 365)(123, 380)(124, 366)(125, 367)(126, 368)(127, 401)(128, 369)(129, 400)(130, 386)(131, 399)(132, 376)(133, 429)(134, 379)(135, 395)(136, 382)(137, 394)(138, 384)(139, 388)(140, 407)(141, 403)(142, 404)(143, 421)(144, 413)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.2169
Graph:: bipartite
	v = 36 e = 288 f = 216
	degree seq :: [ 12^24, 24^12 ]

E19.2168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y1^6, (Y2^3 * Y1^-1)^2, (Y2 * Y1^-1)^4, Y2^2 * Y1^-1 * Y2^-2 * Y1^2 * Y2^-2 * Y1^-1, Y1^-1 * Y2^-2 * Y1 * Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y1 * Y2^4 * Y1 * Y2^-1 * Y1, Y2^12 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 55, 199, 29, 173, 11, 155)(5, 149, 14, 158, 34, 178, 49, 193, 20, 164, 7, 151)(8, 152, 21, 165, 50, 194, 93, 237, 42, 186, 17, 161)(10, 154, 25, 169, 60, 204, 88, 232, 65, 209, 27, 171)(12, 156, 30, 174, 69, 213, 126, 270, 75, 219, 32, 176)(15, 159, 37, 181, 82, 226, 85, 229, 81, 225, 35, 179)(18, 162, 43, 187, 94, 238, 132, 276, 86, 230, 39, 183)(19, 163, 45, 189, 99, 243, 70, 214, 104, 248, 47, 191)(22, 166, 53, 197, 112, 256, 76, 220, 111, 255, 51, 195)(24, 168, 58, 202, 91, 235, 41, 185, 89, 233, 56, 200)(26, 170, 62, 206, 122, 266, 130, 274, 113, 257, 54, 198)(28, 172, 66, 210, 125, 269, 131, 275, 108, 252, 52, 196)(31, 175, 71, 215, 95, 239, 44, 188, 97, 241, 73, 217)(33, 177, 40, 184, 87, 231, 133, 277, 129, 273, 77, 221)(36, 180, 74, 218, 128, 272, 134, 278, 92, 236, 78, 222)(38, 182, 72, 216, 124, 268, 135, 279, 90, 234, 83, 227)(46, 190, 101, 245, 59, 203, 120, 264, 142, 286, 98, 242)(48, 192, 105, 249, 57, 201, 117, 261, 141, 285, 96, 240)(61, 205, 110, 254, 80, 224, 116, 260, 136, 280, 100, 244)(63, 207, 114, 258, 137, 281, 107, 251, 79, 223, 121, 265)(64, 208, 123, 267, 144, 288, 106, 250, 138, 282, 119, 263)(67, 211, 103, 247, 143, 287, 118, 262, 139, 283, 127, 271)(68, 212, 115, 259, 140, 284, 109, 253, 84, 228, 102, 246)(289, 433, 291, 435, 298, 442, 314, 458, 351, 495, 382, 526, 429, 573, 417, 561, 372, 516, 326, 470, 303, 447, 293, 437)(290, 434, 295, 439, 307, 451, 334, 478, 390, 534, 421, 565, 416, 560, 363, 507, 402, 546, 342, 486, 310, 454, 296, 440)(292, 436, 300, 444, 319, 463, 360, 504, 397, 541, 338, 482, 396, 540, 420, 564, 409, 553, 347, 491, 312, 456, 297, 441)(294, 438, 305, 449, 329, 473, 378, 522, 425, 569, 414, 558, 354, 498, 317, 461, 356, 500, 386, 530, 332, 476, 306, 450)(299, 443, 316, 460, 355, 499, 325, 469, 371, 515, 379, 523, 426, 570, 384, 528, 331, 475, 383, 527, 349, 493, 313, 457)(301, 445, 321, 465, 364, 508, 408, 552, 367, 511, 322, 466, 366, 510, 381, 525, 428, 572, 410, 554, 358, 502, 318, 462)(302, 446, 323, 467, 368, 512, 399, 543, 365, 509, 405, 549, 431, 575, 392, 536, 350, 494, 315, 459, 352, 496, 324, 468)(304, 448, 327, 471, 373, 517, 418, 562, 403, 547, 343, 487, 393, 537, 337, 481, 395, 539, 423, 567, 376, 520, 328, 472)(308, 452, 336, 480, 394, 538, 341, 485, 401, 545, 370, 514, 415, 559, 422, 566, 375, 519, 348, 492, 388, 532, 333, 477)(309, 453, 339, 483, 398, 542, 359, 503, 320, 464, 362, 506, 407, 551, 346, 490, 389, 533, 335, 479, 391, 535, 340, 484)(311, 455, 344, 488, 404, 548, 369, 513, 374, 518, 419, 563, 411, 555, 353, 497, 412, 556, 361, 505, 406, 550, 345, 489)(330, 474, 380, 524, 427, 571, 385, 529, 430, 574, 400, 544, 432, 576, 413, 557, 357, 501, 387, 531, 424, 568, 377, 521)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 316)(12, 319)(13, 321)(14, 323)(15, 293)(16, 327)(17, 329)(18, 294)(19, 334)(20, 336)(21, 339)(22, 296)(23, 344)(24, 297)(25, 299)(26, 351)(27, 352)(28, 355)(29, 356)(30, 301)(31, 360)(32, 362)(33, 364)(34, 366)(35, 368)(36, 302)(37, 371)(38, 303)(39, 373)(40, 304)(41, 378)(42, 380)(43, 383)(44, 306)(45, 308)(46, 390)(47, 391)(48, 394)(49, 395)(50, 396)(51, 398)(52, 309)(53, 401)(54, 310)(55, 393)(56, 404)(57, 311)(58, 389)(59, 312)(60, 388)(61, 313)(62, 315)(63, 382)(64, 324)(65, 412)(66, 317)(67, 325)(68, 386)(69, 387)(70, 318)(71, 320)(72, 397)(73, 406)(74, 407)(75, 402)(76, 408)(77, 405)(78, 381)(79, 322)(80, 399)(81, 374)(82, 415)(83, 379)(84, 326)(85, 418)(86, 419)(87, 348)(88, 328)(89, 330)(90, 425)(91, 426)(92, 427)(93, 428)(94, 429)(95, 349)(96, 331)(97, 430)(98, 332)(99, 424)(100, 333)(101, 335)(102, 421)(103, 340)(104, 350)(105, 337)(106, 341)(107, 423)(108, 420)(109, 338)(110, 359)(111, 365)(112, 432)(113, 370)(114, 342)(115, 343)(116, 369)(117, 431)(118, 345)(119, 346)(120, 367)(121, 347)(122, 358)(123, 353)(124, 361)(125, 357)(126, 354)(127, 422)(128, 363)(129, 372)(130, 403)(131, 411)(132, 409)(133, 416)(134, 375)(135, 376)(136, 377)(137, 414)(138, 384)(139, 385)(140, 410)(141, 417)(142, 400)(143, 392)(144, 413)(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 ) }
Outer automorphisms :: reflexible
Dual of E19.2170
Graph:: bipartite
	v = 36 e = 288 f = 216
	degree seq :: [ 12^24, 24^12 ]

E19.2169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C6 x S4 (small group id <144, 188>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^4 * Y2 * Y3^-2, (Y3 * Y2 * Y3^2 * Y2)^2, (Y3^-2 * Y2 * Y3^2 * Y2)^2, (Y3^-1 * Y2)^6, Y3 * Y2 * Y3^-2 * Y2 * Y3^-3 * Y2 * Y3^-2 * Y2, (Y3 * Y2 * Y3^-1 * Y2)^3, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)(289, 433, 290, 434)(291, 435, 295, 439)(292, 436, 297, 441)(293, 437, 299, 443)(294, 438, 301, 445)(296, 440, 305, 449)(298, 442, 309, 453)(300, 444, 313, 457)(302, 446, 317, 461)(303, 447, 319, 463)(304, 448, 321, 465)(306, 450, 325, 469)(307, 451, 327, 471)(308, 452, 329, 473)(310, 454, 333, 477)(311, 455, 335, 479)(312, 456, 337, 481)(314, 458, 341, 485)(315, 459, 343, 487)(316, 460, 345, 489)(318, 462, 349, 493)(320, 464, 348, 492)(322, 466, 356, 500)(323, 467, 346, 490)(324, 468, 359, 503)(326, 470, 342, 486)(328, 472, 366, 510)(330, 474, 339, 483)(331, 475, 369, 513)(332, 476, 336, 480)(334, 478, 350, 494)(338, 482, 378, 522)(340, 484, 381, 525)(344, 488, 388, 532)(347, 491, 391, 535)(351, 495, 373, 517)(352, 496, 386, 530)(353, 497, 396, 540)(354, 498, 376, 520)(355, 499, 389, 533)(357, 501, 401, 545)(358, 502, 380, 524)(360, 504, 382, 526)(361, 505, 399, 543)(362, 506, 403, 547)(363, 507, 397, 541)(364, 508, 374, 518)(365, 509, 387, 531)(367, 511, 377, 521)(368, 512, 398, 542)(370, 514, 392, 536)(371, 515, 405, 549)(372, 516, 407, 551)(375, 519, 410, 554)(379, 523, 415, 559)(383, 527, 413, 557)(384, 528, 417, 561)(385, 529, 411, 555)(390, 534, 412, 556)(393, 537, 419, 563)(394, 538, 421, 565)(395, 539, 422, 566)(400, 544, 418, 562)(402, 546, 420, 564)(404, 548, 414, 558)(406, 550, 416, 560)(408, 552, 409, 553)(423, 567, 428, 572)(424, 568, 431, 575)(425, 569, 430, 574)(426, 570, 429, 573)(427, 571, 432, 576)
	L = (1, 291)(2, 293)(3, 296)(4, 289)(5, 300)(6, 290)(7, 303)(8, 306)(9, 307)(10, 292)(11, 311)(12, 314)(13, 315)(14, 294)(15, 320)(16, 295)(17, 323)(18, 326)(19, 328)(20, 297)(21, 331)(22, 298)(23, 336)(24, 299)(25, 339)(26, 342)(27, 344)(28, 301)(29, 347)(30, 302)(31, 351)(32, 353)(33, 354)(34, 304)(35, 358)(36, 305)(37, 361)(38, 363)(39, 364)(40, 362)(41, 367)(42, 308)(43, 360)(44, 309)(45, 357)(46, 310)(47, 373)(48, 375)(49, 376)(50, 312)(51, 380)(52, 313)(53, 383)(54, 385)(55, 386)(56, 384)(57, 389)(58, 316)(59, 382)(60, 317)(61, 379)(62, 318)(63, 329)(64, 319)(65, 397)(66, 398)(67, 321)(68, 400)(69, 322)(70, 378)(71, 393)(72, 324)(73, 391)(74, 325)(75, 404)(76, 405)(77, 327)(78, 392)(79, 406)(80, 330)(81, 408)(82, 332)(83, 333)(84, 334)(85, 345)(86, 335)(87, 411)(88, 412)(89, 337)(90, 414)(91, 338)(92, 356)(93, 371)(94, 340)(95, 369)(96, 341)(97, 418)(98, 419)(99, 343)(100, 370)(101, 420)(102, 346)(103, 422)(104, 348)(105, 349)(106, 350)(107, 352)(108, 365)(109, 416)(110, 424)(111, 355)(112, 366)(113, 423)(114, 359)(115, 426)(116, 372)(117, 425)(118, 427)(119, 368)(120, 421)(121, 374)(122, 387)(123, 402)(124, 429)(125, 377)(126, 388)(127, 428)(128, 381)(129, 431)(130, 394)(131, 430)(132, 432)(133, 390)(134, 407)(135, 395)(136, 396)(137, 399)(138, 401)(139, 403)(140, 409)(141, 410)(142, 413)(143, 415)(144, 417)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2167
Graph:: simple bipartite
	v = 216 e = 288 f = 36
	degree seq :: [ 2^144, 4^72 ]

E19.2170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2 * Y3^-2 * Y2)^2, (Y3^-3 * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3^-2, (Y3 * Y2)^6, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)(289, 433, 290, 434)(291, 435, 295, 439)(292, 436, 297, 441)(293, 437, 299, 443)(294, 438, 301, 445)(296, 440, 305, 449)(298, 442, 309, 453)(300, 444, 313, 457)(302, 446, 317, 461)(303, 447, 319, 463)(304, 448, 321, 465)(306, 450, 325, 469)(307, 451, 327, 471)(308, 452, 329, 473)(310, 454, 333, 477)(311, 455, 335, 479)(312, 456, 337, 481)(314, 458, 341, 485)(315, 459, 343, 487)(316, 460, 345, 489)(318, 462, 349, 493)(320, 464, 353, 497)(322, 466, 340, 484)(323, 467, 358, 502)(324, 468, 338, 482)(326, 470, 350, 494)(328, 472, 347, 491)(330, 474, 368, 512)(331, 475, 344, 488)(332, 476, 370, 514)(334, 478, 342, 486)(336, 480, 375, 519)(339, 483, 380, 524)(346, 490, 390, 534)(348, 492, 392, 536)(351, 495, 389, 533)(352, 496, 378, 522)(354, 498, 398, 542)(355, 499, 377, 521)(356, 500, 374, 518)(357, 501, 400, 544)(359, 503, 381, 525)(360, 504, 391, 535)(361, 505, 403, 547)(362, 506, 396, 540)(363, 507, 401, 545)(364, 508, 388, 532)(365, 509, 395, 539)(366, 510, 386, 530)(367, 511, 373, 517)(369, 513, 382, 526)(371, 515, 407, 551)(372, 516, 406, 550)(376, 520, 412, 556)(379, 523, 414, 558)(383, 527, 417, 561)(384, 528, 410, 554)(385, 529, 415, 559)(387, 531, 409, 553)(393, 537, 421, 565)(394, 538, 420, 564)(397, 541, 418, 562)(399, 543, 416, 560)(402, 546, 413, 557)(404, 548, 411, 555)(405, 549, 422, 566)(408, 552, 419, 563)(423, 567, 431, 575)(424, 568, 429, 573)(425, 569, 432, 576)(426, 570, 428, 572)(427, 571, 430, 574)
	L = (1, 291)(2, 293)(3, 296)(4, 289)(5, 300)(6, 290)(7, 303)(8, 306)(9, 307)(10, 292)(11, 311)(12, 314)(13, 315)(14, 294)(15, 320)(16, 295)(17, 323)(18, 326)(19, 328)(20, 297)(21, 331)(22, 298)(23, 336)(24, 299)(25, 339)(26, 342)(27, 344)(28, 301)(29, 347)(30, 302)(31, 351)(32, 354)(33, 355)(34, 304)(35, 359)(36, 305)(37, 361)(38, 363)(39, 364)(40, 365)(41, 366)(42, 308)(43, 369)(44, 309)(45, 371)(46, 310)(47, 373)(48, 376)(49, 377)(50, 312)(51, 381)(52, 313)(53, 383)(54, 385)(55, 386)(56, 387)(57, 388)(58, 316)(59, 391)(60, 317)(61, 393)(62, 318)(63, 395)(64, 319)(65, 397)(66, 333)(67, 327)(68, 321)(69, 322)(70, 384)(71, 332)(72, 324)(73, 330)(74, 325)(75, 404)(76, 405)(77, 406)(78, 407)(79, 329)(80, 382)(81, 375)(82, 408)(83, 392)(84, 334)(85, 409)(86, 335)(87, 411)(88, 349)(89, 343)(90, 337)(91, 338)(92, 362)(93, 348)(94, 340)(95, 346)(96, 341)(97, 418)(98, 419)(99, 420)(100, 421)(101, 345)(102, 360)(103, 353)(104, 422)(105, 370)(106, 350)(107, 423)(108, 352)(109, 368)(110, 425)(111, 356)(112, 367)(113, 357)(114, 358)(115, 426)(116, 372)(117, 427)(118, 416)(119, 424)(120, 415)(121, 428)(122, 374)(123, 390)(124, 430)(125, 378)(126, 389)(127, 379)(128, 380)(129, 431)(130, 394)(131, 432)(132, 402)(133, 429)(134, 401)(135, 400)(136, 396)(137, 399)(138, 398)(139, 403)(140, 414)(141, 410)(142, 413)(143, 412)(144, 417)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2168
Graph:: simple bipartite
	v = 216 e = 288 f = 36
	degree seq :: [ 2^144, 4^72 ]

E19.2171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C6 x S4 (small group id <144, 188>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|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 * Y1^4 * Y3 * Y1^-2, (Y3 * Y1^-1 * Y3 * Y1^-2)^2, (Y3 * Y1 * Y3 * Y1^-1)^3, Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2, (Y3 * Y1)^6, Y1^12 ]
Map:: polytopal
	R = (1, 145, 2, 146, 5, 149, 11, 155, 23, 167, 47, 191, 85, 229, 84, 228, 46, 190, 22, 166, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 31, 175, 48, 192, 87, 231, 123, 267, 116, 260, 75, 219, 38, 182, 18, 162, 8, 152)(6, 150, 13, 157, 27, 171, 55, 199, 86, 230, 122, 266, 109, 253, 83, 227, 45, 189, 62, 206, 30, 174, 14, 158)(9, 153, 19, 163, 39, 183, 50, 194, 24, 168, 49, 193, 88, 232, 125, 269, 119, 263, 80, 224, 42, 186, 20, 164)(12, 156, 25, 169, 51, 195, 91, 235, 121, 265, 114, 258, 82, 226, 44, 188, 21, 165, 43, 187, 54, 198, 26, 170)(16, 160, 33, 177, 66, 210, 110, 254, 124, 268, 95, 239, 53, 197, 94, 238, 74, 218, 113, 257, 69, 213, 34, 178)(17, 161, 35, 179, 70, 214, 108, 252, 63, 207, 107, 251, 81, 225, 120, 264, 130, 274, 93, 237, 52, 196, 36, 180)(28, 172, 57, 201, 41, 185, 79, 223, 118, 262, 128, 272, 90, 234, 127, 271, 106, 250, 134, 278, 101, 245, 58, 202)(29, 173, 59, 203, 102, 246, 133, 277, 97, 241, 78, 222, 40, 184, 77, 221, 117, 261, 126, 270, 89, 233, 60, 204)(32, 176, 64, 208, 92, 236, 61, 205, 105, 249, 76, 220, 98, 242, 56, 200, 37, 181, 73, 217, 96, 240, 65, 209)(67, 211, 99, 243, 72, 216, 104, 248, 132, 276, 142, 286, 136, 280, 143, 287, 139, 283, 144, 288, 138, 282, 111, 255)(68, 212, 103, 247, 129, 273, 141, 285, 137, 281, 115, 259, 71, 215, 100, 244, 131, 275, 140, 284, 135, 279, 112, 256)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 294)(3, 289)(4, 297)(5, 300)(6, 290)(7, 304)(8, 305)(9, 292)(10, 309)(11, 312)(12, 293)(13, 316)(14, 317)(15, 320)(16, 295)(17, 296)(18, 325)(19, 328)(20, 329)(21, 298)(22, 333)(23, 336)(24, 299)(25, 340)(26, 341)(27, 344)(28, 301)(29, 302)(30, 349)(31, 351)(32, 303)(33, 355)(34, 356)(35, 359)(36, 360)(37, 306)(38, 362)(39, 364)(40, 307)(41, 308)(42, 352)(43, 369)(44, 354)(45, 310)(46, 363)(47, 374)(48, 311)(49, 377)(50, 378)(51, 380)(52, 313)(53, 314)(54, 384)(55, 385)(56, 315)(57, 387)(58, 388)(59, 391)(60, 392)(61, 318)(62, 394)(63, 319)(64, 330)(65, 397)(66, 332)(67, 321)(68, 322)(69, 379)(70, 402)(71, 323)(72, 324)(73, 376)(74, 326)(75, 334)(76, 327)(77, 399)(78, 403)(79, 400)(80, 390)(81, 331)(82, 386)(83, 405)(84, 407)(85, 409)(86, 335)(87, 412)(88, 361)(89, 337)(90, 338)(91, 357)(92, 339)(93, 417)(94, 419)(95, 420)(96, 342)(97, 343)(98, 370)(99, 345)(100, 346)(101, 413)(102, 368)(103, 347)(104, 348)(105, 411)(106, 350)(107, 423)(108, 424)(109, 353)(110, 425)(111, 365)(112, 367)(113, 427)(114, 358)(115, 366)(116, 418)(117, 371)(118, 410)(119, 372)(120, 426)(121, 373)(122, 406)(123, 393)(124, 375)(125, 389)(126, 428)(127, 429)(128, 430)(129, 381)(130, 404)(131, 382)(132, 383)(133, 431)(134, 432)(135, 395)(136, 396)(137, 398)(138, 408)(139, 401)(140, 414)(141, 415)(142, 416)(143, 421)(144, 422)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 12 ), ( 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 E19.2165
Graph:: simple bipartite
	v = 156 e = 288 f = 96
	degree seq :: [ 2^144, 24^12 ]

E19.2172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|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 * Y3)^2, (Y1^-1 * Y3 * Y1^-3)^2, (Y3 * Y1^2)^4, (Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1)^2, Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-3, (Y3 * Y1^-1)^6, Y1^12 ]
Map:: polytopal
	R = (1, 145, 2, 146, 5, 149, 11, 155, 23, 167, 47, 191, 85, 229, 84, 228, 46, 190, 22, 166, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 31, 175, 63, 207, 107, 251, 124, 268, 87, 231, 48, 192, 38, 182, 18, 162, 8, 152)(6, 150, 13, 157, 27, 171, 55, 199, 45, 189, 83, 227, 115, 259, 122, 266, 86, 230, 62, 206, 30, 174, 14, 158)(9, 153, 19, 163, 39, 183, 76, 220, 117, 261, 128, 272, 90, 234, 50, 194, 24, 168, 49, 193, 42, 186, 20, 164)(12, 156, 25, 169, 51, 195, 44, 188, 21, 165, 43, 187, 81, 225, 110, 254, 121, 265, 96, 240, 54, 198, 26, 170)(16, 160, 33, 177, 66, 210, 109, 253, 75, 219, 116, 260, 82, 226, 120, 264, 132, 276, 94, 238, 53, 197, 34, 178)(17, 161, 35, 179, 69, 213, 112, 256, 123, 267, 93, 237, 52, 196, 92, 236, 64, 208, 108, 252, 72, 216, 36, 180)(28, 172, 57, 201, 99, 243, 134, 278, 106, 250, 79, 223, 41, 185, 78, 222, 119, 263, 127, 271, 89, 233, 58, 202)(29, 173, 59, 203, 40, 184, 77, 221, 118, 262, 126, 270, 88, 232, 125, 269, 97, 241, 133, 277, 104, 248, 60, 204)(32, 176, 65, 209, 91, 235, 74, 218, 37, 181, 73, 217, 95, 239, 56, 200, 98, 242, 80, 224, 105, 249, 61, 205)(67, 211, 111, 255, 137, 281, 140, 284, 131, 275, 100, 244, 71, 215, 114, 258, 139, 283, 142, 286, 129, 273, 103, 247)(68, 212, 102, 246, 70, 214, 113, 257, 138, 282, 143, 287, 135, 279, 144, 288, 136, 280, 141, 285, 130, 274, 101, 245)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 294)(3, 289)(4, 297)(5, 300)(6, 290)(7, 304)(8, 305)(9, 292)(10, 309)(11, 312)(12, 293)(13, 316)(14, 317)(15, 320)(16, 295)(17, 296)(18, 325)(19, 328)(20, 329)(21, 298)(22, 333)(23, 336)(24, 299)(25, 340)(26, 341)(27, 344)(28, 301)(29, 302)(30, 349)(31, 352)(32, 303)(33, 355)(34, 356)(35, 358)(36, 359)(37, 306)(38, 363)(39, 361)(40, 307)(41, 308)(42, 368)(43, 357)(44, 370)(45, 310)(46, 351)(47, 374)(48, 311)(49, 376)(50, 377)(51, 379)(52, 313)(53, 314)(54, 383)(55, 385)(56, 315)(57, 388)(58, 389)(59, 390)(60, 391)(61, 318)(62, 394)(63, 334)(64, 319)(65, 378)(66, 398)(67, 321)(68, 322)(69, 331)(70, 323)(71, 324)(72, 384)(73, 327)(74, 403)(75, 326)(76, 387)(77, 402)(78, 401)(79, 399)(80, 330)(81, 393)(82, 332)(83, 407)(84, 405)(85, 409)(86, 335)(87, 411)(88, 337)(89, 338)(90, 353)(91, 339)(92, 417)(93, 418)(94, 419)(95, 342)(96, 360)(97, 343)(98, 412)(99, 364)(100, 345)(101, 346)(102, 347)(103, 348)(104, 416)(105, 369)(106, 350)(107, 420)(108, 423)(109, 424)(110, 354)(111, 367)(112, 425)(113, 366)(114, 365)(115, 362)(116, 427)(117, 372)(118, 410)(119, 371)(120, 426)(121, 373)(122, 406)(123, 375)(124, 386)(125, 428)(126, 429)(127, 430)(128, 392)(129, 380)(130, 381)(131, 382)(132, 395)(133, 431)(134, 432)(135, 396)(136, 397)(137, 400)(138, 408)(139, 404)(140, 413)(141, 414)(142, 415)(143, 421)(144, 422)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 12 ), ( 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 E19.2166
Graph:: simple bipartite
	v = 156 e = 288 f = 96
	degree seq :: [ 2^144, 24^12 ]

E19.2173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C6 x S4 (small group id <144, 188>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^4 * Y1 * Y2^-2, (Y2^-2 * R * Y2^-2)^2, (Y2^-2 * Y1 * Y2^-1 * Y1)^2, (Y2 * Y1 * Y2^-1 * Y1)^3, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, (Y3 * Y2^-1)^6, Y2^12 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 25, 169)(14, 158, 29, 173)(15, 159, 31, 175)(16, 160, 33, 177)(18, 162, 37, 181)(19, 163, 39, 183)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 47, 191)(24, 168, 49, 193)(26, 170, 53, 197)(27, 171, 55, 199)(28, 172, 57, 201)(30, 174, 61, 205)(32, 176, 60, 204)(34, 178, 68, 212)(35, 179, 58, 202)(36, 180, 71, 215)(38, 182, 54, 198)(40, 184, 78, 222)(42, 186, 51, 195)(43, 187, 81, 225)(44, 188, 48, 192)(46, 190, 62, 206)(50, 194, 90, 234)(52, 196, 93, 237)(56, 200, 100, 244)(59, 203, 103, 247)(63, 207, 85, 229)(64, 208, 98, 242)(65, 209, 108, 252)(66, 210, 88, 232)(67, 211, 101, 245)(69, 213, 113, 257)(70, 214, 92, 236)(72, 216, 94, 238)(73, 217, 111, 255)(74, 218, 115, 259)(75, 219, 109, 253)(76, 220, 86, 230)(77, 221, 99, 243)(79, 223, 89, 233)(80, 224, 110, 254)(82, 226, 104, 248)(83, 227, 117, 261)(84, 228, 119, 263)(87, 231, 122, 266)(91, 235, 127, 271)(95, 239, 125, 269)(96, 240, 129, 273)(97, 241, 123, 267)(102, 246, 124, 268)(105, 249, 131, 275)(106, 250, 133, 277)(107, 251, 134, 278)(112, 256, 130, 274)(114, 258, 132, 276)(116, 260, 126, 270)(118, 262, 128, 272)(120, 264, 121, 265)(135, 279, 140, 284)(136, 280, 143, 287)(137, 281, 142, 286)(138, 282, 141, 285)(139, 283, 144, 288)(289, 433, 291, 435, 296, 440, 306, 450, 326, 470, 363, 507, 404, 548, 372, 516, 334, 478, 310, 454, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 314, 458, 342, 486, 385, 529, 418, 562, 394, 538, 350, 494, 318, 462, 302, 446, 294, 438)(295, 439, 303, 447, 320, 464, 353, 497, 397, 541, 416, 560, 381, 525, 371, 515, 333, 477, 357, 501, 322, 466, 304, 448)(297, 441, 307, 451, 328, 472, 362, 506, 325, 469, 361, 505, 391, 535, 422, 566, 407, 551, 368, 512, 330, 474, 308, 452)(299, 443, 311, 455, 336, 480, 375, 519, 411, 555, 402, 546, 359, 503, 393, 537, 349, 493, 379, 523, 338, 482, 312, 456)(301, 445, 315, 459, 344, 488, 384, 528, 341, 485, 383, 527, 369, 513, 408, 552, 421, 565, 390, 534, 346, 490, 316, 460)(305, 449, 323, 467, 358, 502, 378, 522, 414, 558, 388, 532, 370, 514, 332, 476, 309, 453, 331, 475, 360, 504, 324, 468)(313, 457, 339, 483, 380, 524, 356, 500, 400, 544, 366, 510, 392, 536, 348, 492, 317, 461, 347, 491, 382, 526, 340, 484)(319, 463, 351, 495, 329, 473, 367, 511, 406, 550, 427, 571, 403, 547, 426, 570, 401, 545, 423, 567, 395, 539, 352, 496)(321, 465, 354, 498, 398, 542, 424, 568, 396, 540, 365, 509, 327, 471, 364, 508, 405, 549, 425, 569, 399, 543, 355, 499)(335, 479, 373, 517, 345, 489, 389, 533, 420, 564, 432, 576, 417, 561, 431, 575, 415, 559, 428, 572, 409, 553, 374, 518)(337, 481, 376, 520, 412, 556, 429, 573, 410, 554, 387, 531, 343, 487, 386, 530, 419, 563, 430, 574, 413, 557, 377, 521)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 313)(13, 294)(14, 317)(15, 319)(16, 321)(17, 296)(18, 325)(19, 327)(20, 329)(21, 298)(22, 333)(23, 335)(24, 337)(25, 300)(26, 341)(27, 343)(28, 345)(29, 302)(30, 349)(31, 303)(32, 348)(33, 304)(34, 356)(35, 346)(36, 359)(37, 306)(38, 342)(39, 307)(40, 366)(41, 308)(42, 339)(43, 369)(44, 336)(45, 310)(46, 350)(47, 311)(48, 332)(49, 312)(50, 378)(51, 330)(52, 381)(53, 314)(54, 326)(55, 315)(56, 388)(57, 316)(58, 323)(59, 391)(60, 320)(61, 318)(62, 334)(63, 373)(64, 386)(65, 396)(66, 376)(67, 389)(68, 322)(69, 401)(70, 380)(71, 324)(72, 382)(73, 399)(74, 403)(75, 397)(76, 374)(77, 387)(78, 328)(79, 377)(80, 398)(81, 331)(82, 392)(83, 405)(84, 407)(85, 351)(86, 364)(87, 410)(88, 354)(89, 367)(90, 338)(91, 415)(92, 358)(93, 340)(94, 360)(95, 413)(96, 417)(97, 411)(98, 352)(99, 365)(100, 344)(101, 355)(102, 412)(103, 347)(104, 370)(105, 419)(106, 421)(107, 422)(108, 353)(109, 363)(110, 368)(111, 361)(112, 418)(113, 357)(114, 420)(115, 362)(116, 414)(117, 371)(118, 416)(119, 372)(120, 409)(121, 408)(122, 375)(123, 385)(124, 390)(125, 383)(126, 404)(127, 379)(128, 406)(129, 384)(130, 400)(131, 393)(132, 402)(133, 394)(134, 395)(135, 428)(136, 431)(137, 430)(138, 429)(139, 432)(140, 423)(141, 426)(142, 425)(143, 424)(144, 427)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 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 E19.2175
Graph:: bipartite
	v = 84 e = 288 f = 168
	degree seq :: [ 4^72, 24^12 ]

E19.2174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2^-1 * R)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2^-2 * Y1)^2, (Y2^-1 * Y1 * Y2^-3)^2, Y2^-2 * R * Y2^4 * R * Y2^-2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-2, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1)^2, Y2^12, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 25, 169)(14, 158, 29, 173)(15, 159, 31, 175)(16, 160, 33, 177)(18, 162, 37, 181)(19, 163, 39, 183)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 47, 191)(24, 168, 49, 193)(26, 170, 53, 197)(27, 171, 55, 199)(28, 172, 57, 201)(30, 174, 61, 205)(32, 176, 65, 209)(34, 178, 52, 196)(35, 179, 70, 214)(36, 180, 50, 194)(38, 182, 62, 206)(40, 184, 59, 203)(42, 186, 80, 224)(43, 187, 56, 200)(44, 188, 82, 226)(46, 190, 54, 198)(48, 192, 87, 231)(51, 195, 92, 236)(58, 202, 102, 246)(60, 204, 104, 248)(63, 207, 101, 245)(64, 208, 90, 234)(66, 210, 110, 254)(67, 211, 89, 233)(68, 212, 86, 230)(69, 213, 112, 256)(71, 215, 93, 237)(72, 216, 103, 247)(73, 217, 115, 259)(74, 218, 108, 252)(75, 219, 113, 257)(76, 220, 100, 244)(77, 221, 107, 251)(78, 222, 98, 242)(79, 223, 85, 229)(81, 225, 94, 238)(83, 227, 119, 263)(84, 228, 118, 262)(88, 232, 124, 268)(91, 235, 126, 270)(95, 239, 129, 273)(96, 240, 122, 266)(97, 241, 127, 271)(99, 243, 121, 265)(105, 249, 133, 277)(106, 250, 132, 276)(109, 253, 130, 274)(111, 255, 128, 272)(114, 258, 125, 269)(116, 260, 123, 267)(117, 261, 134, 278)(120, 264, 131, 275)(135, 279, 143, 287)(136, 280, 141, 285)(137, 281, 144, 288)(138, 282, 140, 284)(139, 283, 142, 286)(289, 433, 291, 435, 296, 440, 306, 450, 326, 470, 363, 507, 404, 548, 372, 516, 334, 478, 310, 454, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 314, 458, 342, 486, 385, 529, 418, 562, 394, 538, 350, 494, 318, 462, 302, 446, 294, 438)(295, 439, 303, 447, 320, 464, 354, 498, 333, 477, 371, 515, 392, 536, 422, 566, 401, 545, 357, 501, 322, 466, 304, 448)(297, 441, 307, 451, 328, 472, 365, 509, 406, 550, 416, 560, 380, 524, 362, 506, 325, 469, 361, 505, 330, 474, 308, 452)(299, 443, 311, 455, 336, 480, 376, 520, 349, 493, 393, 537, 370, 514, 408, 552, 415, 559, 379, 523, 338, 482, 312, 456)(301, 445, 315, 459, 344, 488, 387, 531, 420, 564, 402, 546, 358, 502, 384, 528, 341, 485, 383, 527, 346, 490, 316, 460)(305, 449, 323, 467, 359, 503, 332, 476, 309, 453, 331, 475, 369, 513, 375, 519, 411, 555, 390, 534, 360, 504, 324, 468)(313, 457, 339, 483, 381, 525, 348, 492, 317, 461, 347, 491, 391, 535, 353, 497, 397, 541, 368, 512, 382, 526, 340, 484)(319, 463, 351, 495, 395, 539, 423, 567, 400, 544, 367, 511, 329, 473, 366, 510, 407, 551, 424, 568, 396, 540, 352, 496)(321, 465, 355, 499, 327, 471, 364, 508, 405, 549, 427, 571, 403, 547, 426, 570, 398, 542, 425, 569, 399, 543, 356, 500)(335, 479, 373, 517, 409, 553, 428, 572, 414, 558, 389, 533, 345, 489, 388, 532, 421, 565, 429, 573, 410, 554, 374, 518)(337, 481, 377, 521, 343, 487, 386, 530, 419, 563, 432, 576, 417, 561, 431, 575, 412, 556, 430, 574, 413, 557, 378, 522)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 313)(13, 294)(14, 317)(15, 319)(16, 321)(17, 296)(18, 325)(19, 327)(20, 329)(21, 298)(22, 333)(23, 335)(24, 337)(25, 300)(26, 341)(27, 343)(28, 345)(29, 302)(30, 349)(31, 303)(32, 353)(33, 304)(34, 340)(35, 358)(36, 338)(37, 306)(38, 350)(39, 307)(40, 347)(41, 308)(42, 368)(43, 344)(44, 370)(45, 310)(46, 342)(47, 311)(48, 375)(49, 312)(50, 324)(51, 380)(52, 322)(53, 314)(54, 334)(55, 315)(56, 331)(57, 316)(58, 390)(59, 328)(60, 392)(61, 318)(62, 326)(63, 389)(64, 378)(65, 320)(66, 398)(67, 377)(68, 374)(69, 400)(70, 323)(71, 381)(72, 391)(73, 403)(74, 396)(75, 401)(76, 388)(77, 395)(78, 386)(79, 373)(80, 330)(81, 382)(82, 332)(83, 407)(84, 406)(85, 367)(86, 356)(87, 336)(88, 412)(89, 355)(90, 352)(91, 414)(92, 339)(93, 359)(94, 369)(95, 417)(96, 410)(97, 415)(98, 366)(99, 409)(100, 364)(101, 351)(102, 346)(103, 360)(104, 348)(105, 421)(106, 420)(107, 365)(108, 362)(109, 418)(110, 354)(111, 416)(112, 357)(113, 363)(114, 413)(115, 361)(116, 411)(117, 422)(118, 372)(119, 371)(120, 419)(121, 387)(122, 384)(123, 404)(124, 376)(125, 402)(126, 379)(127, 385)(128, 399)(129, 383)(130, 397)(131, 408)(132, 394)(133, 393)(134, 405)(135, 431)(136, 429)(137, 432)(138, 428)(139, 430)(140, 426)(141, 424)(142, 427)(143, 423)(144, 425)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 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 E19.2176
Graph:: bipartite
	v = 84 e = 288 f = 168
	degree seq :: [ 4^72, 24^12 ]

E19.2175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C6 x S4 (small group id <144, 188>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1 * Y1)^2, Y1^6, Y3^5 * Y1 * Y3^-3 * Y1, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y3^3 * Y1^-1 * Y3^-5 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 145, 2, 146, 6, 150, 16, 160, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 36, 180, 18, 162, 11, 155)(5, 149, 14, 158, 31, 175, 37, 181, 20, 164, 7, 151)(8, 152, 21, 165, 12, 156, 29, 173, 39, 183, 17, 161)(10, 154, 25, 169, 53, 197, 71, 215, 50, 194, 27, 171)(15, 159, 34, 178, 44, 188, 72, 216, 65, 209, 32, 176)(19, 163, 41, 185, 79, 223, 63, 207, 33, 177, 43, 187)(22, 166, 47, 191, 76, 220, 60, 204, 87, 231, 45, 189)(24, 168, 51, 195, 28, 172, 40, 184, 77, 221, 49, 193)(26, 170, 55, 199, 100, 244, 114, 258, 98, 242, 57, 201)(30, 174, 46, 190, 75, 219, 38, 182, 73, 217, 62, 206)(35, 179, 69, 213, 110, 254, 115, 259, 112, 256, 67, 211)(42, 186, 81, 225, 127, 271, 109, 253, 125, 269, 83, 227)(48, 192, 91, 235, 131, 275, 106, 250, 133, 277, 89, 233)(52, 196, 96, 240, 121, 265, 78, 222, 123, 267, 95, 239)(54, 198, 86, 230, 58, 202, 94, 238, 120, 264, 90, 234)(56, 200, 82, 226, 118, 262, 140, 284, 139, 283, 103, 247)(59, 203, 84, 228, 66, 210, 93, 237, 122, 266, 80, 224)(61, 205, 107, 251, 119, 263, 74, 218, 117, 261, 102, 246)(64, 208, 108, 252, 116, 260, 85, 229, 68, 212, 88, 232)(70, 214, 92, 236, 124, 268, 141, 285, 137, 281, 97, 241)(99, 243, 129, 273, 144, 288, 136, 280, 113, 257, 128, 272)(101, 245, 132, 276, 104, 248, 130, 274, 142, 286, 138, 282)(105, 249, 126, 270, 143, 287, 135, 279, 111, 255, 134, 278)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 316)(12, 318)(13, 319)(14, 320)(15, 293)(16, 324)(17, 326)(18, 294)(19, 330)(20, 332)(21, 333)(22, 296)(23, 337)(24, 297)(25, 299)(26, 344)(27, 346)(28, 347)(29, 301)(30, 349)(31, 351)(32, 352)(33, 302)(34, 355)(35, 303)(36, 359)(37, 304)(38, 362)(39, 364)(40, 306)(41, 308)(42, 370)(43, 372)(44, 373)(45, 374)(46, 309)(47, 377)(48, 310)(49, 381)(50, 311)(51, 383)(52, 312)(53, 378)(54, 313)(55, 315)(56, 390)(57, 392)(58, 375)(59, 393)(60, 317)(61, 391)(62, 396)(63, 397)(64, 389)(65, 398)(66, 321)(67, 387)(68, 322)(69, 385)(70, 323)(71, 402)(72, 325)(73, 327)(74, 406)(75, 356)(76, 408)(77, 409)(78, 328)(79, 410)(80, 329)(81, 331)(82, 345)(83, 417)(84, 339)(85, 418)(86, 416)(87, 419)(88, 334)(89, 414)(90, 335)(91, 358)(92, 336)(93, 423)(94, 338)(95, 420)(96, 425)(97, 340)(98, 341)(99, 342)(100, 426)(101, 343)(102, 422)(103, 415)(104, 411)(105, 405)(106, 348)(107, 350)(108, 353)(109, 427)(110, 424)(111, 354)(112, 412)(113, 357)(114, 428)(115, 360)(116, 361)(117, 363)(118, 371)(119, 431)(120, 432)(121, 430)(122, 365)(123, 380)(124, 366)(125, 367)(126, 368)(127, 401)(128, 369)(129, 400)(130, 386)(131, 399)(132, 376)(133, 429)(134, 379)(135, 395)(136, 382)(137, 394)(138, 384)(139, 388)(140, 407)(141, 403)(142, 404)(143, 421)(144, 413)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2173
Graph:: simple bipartite
	v = 168 e = 288 f = 84
	degree seq :: [ 2^144, 12^24 ]

E19.2176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y1^-1 * Y3^3)^2, (Y1^-1 * Y3)^4, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1 * Y3^-1 * Y1 * Y3 * Y1^-2 * Y3^-2 * Y1^2, Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3^-4, Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^3 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3^-2 * Y1^2 * Y3^-2 * Y1^-1 * Y3, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 145, 2, 146, 6, 150, 16, 160, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 55, 199, 29, 173, 11, 155)(5, 149, 14, 158, 34, 178, 49, 193, 20, 164, 7, 151)(8, 152, 21, 165, 50, 194, 93, 237, 42, 186, 17, 161)(10, 154, 25, 169, 60, 204, 88, 232, 65, 209, 27, 171)(12, 156, 30, 174, 69, 213, 126, 270, 75, 219, 32, 176)(15, 159, 37, 181, 82, 226, 85, 229, 81, 225, 35, 179)(18, 162, 43, 187, 94, 238, 132, 276, 86, 230, 39, 183)(19, 163, 45, 189, 99, 243, 70, 214, 104, 248, 47, 191)(22, 166, 53, 197, 112, 256, 76, 220, 111, 255, 51, 195)(24, 168, 58, 202, 91, 235, 41, 185, 89, 233, 56, 200)(26, 170, 62, 206, 122, 266, 130, 274, 113, 257, 54, 198)(28, 172, 66, 210, 125, 269, 131, 275, 108, 252, 52, 196)(31, 175, 71, 215, 95, 239, 44, 188, 97, 241, 73, 217)(33, 177, 40, 184, 87, 231, 133, 277, 129, 273, 77, 221)(36, 180, 74, 218, 128, 272, 134, 278, 92, 236, 78, 222)(38, 182, 72, 216, 124, 268, 135, 279, 90, 234, 83, 227)(46, 190, 101, 245, 59, 203, 120, 264, 142, 286, 98, 242)(48, 192, 105, 249, 57, 201, 117, 261, 141, 285, 96, 240)(61, 205, 110, 254, 80, 224, 116, 260, 136, 280, 100, 244)(63, 207, 114, 258, 137, 281, 107, 251, 79, 223, 121, 265)(64, 208, 123, 267, 144, 288, 106, 250, 138, 282, 119, 263)(67, 211, 103, 247, 143, 287, 118, 262, 139, 283, 127, 271)(68, 212, 115, 259, 140, 284, 109, 253, 84, 228, 102, 246)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 316)(12, 319)(13, 321)(14, 323)(15, 293)(16, 327)(17, 329)(18, 294)(19, 334)(20, 336)(21, 339)(22, 296)(23, 344)(24, 297)(25, 299)(26, 351)(27, 352)(28, 355)(29, 356)(30, 301)(31, 360)(32, 362)(33, 364)(34, 366)(35, 368)(36, 302)(37, 371)(38, 303)(39, 373)(40, 304)(41, 378)(42, 380)(43, 383)(44, 306)(45, 308)(46, 390)(47, 391)(48, 394)(49, 395)(50, 396)(51, 398)(52, 309)(53, 401)(54, 310)(55, 393)(56, 404)(57, 311)(58, 389)(59, 312)(60, 388)(61, 313)(62, 315)(63, 382)(64, 324)(65, 412)(66, 317)(67, 325)(68, 386)(69, 387)(70, 318)(71, 320)(72, 397)(73, 406)(74, 407)(75, 402)(76, 408)(77, 405)(78, 381)(79, 322)(80, 399)(81, 374)(82, 415)(83, 379)(84, 326)(85, 418)(86, 419)(87, 348)(88, 328)(89, 330)(90, 425)(91, 426)(92, 427)(93, 428)(94, 429)(95, 349)(96, 331)(97, 430)(98, 332)(99, 424)(100, 333)(101, 335)(102, 421)(103, 340)(104, 350)(105, 337)(106, 341)(107, 423)(108, 420)(109, 338)(110, 359)(111, 365)(112, 432)(113, 370)(114, 342)(115, 343)(116, 369)(117, 431)(118, 345)(119, 346)(120, 367)(121, 347)(122, 358)(123, 353)(124, 361)(125, 357)(126, 354)(127, 422)(128, 363)(129, 372)(130, 403)(131, 411)(132, 409)(133, 416)(134, 375)(135, 376)(136, 377)(137, 414)(138, 384)(139, 385)(140, 410)(141, 417)(142, 400)(143, 392)(144, 413)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2174
Graph:: simple bipartite
	v = 168 e = 288 f = 84
	degree seq :: [ 2^144, 12^24 ]

E19.2177 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 76})
Quotient :: regular
Aut^+ = C4 x D38 (small group id <152, 4>)
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, T1^35 * T2 * T1^-3 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 71, 73, 77, 84, 89, 93, 97, 101, 106, 147, 152, 151, 144, 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, 149, 146, 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, 145, 150, 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, 148, 143, 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, 143)(103, 144)(104, 146)(106, 148)(107, 150)(108, 151)(110, 149)(140, 152)(145, 147)
	local type(s) :: { ( 4^76 ) }
Outer automorphisms :: reflexible
Dual of E19.2178
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 76 f = 38
	degree seq :: [ 76^2 ]

E19.2178 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 76})
Quotient :: regular
Aut^+ = C4 x D38 (small group id <152, 4>)
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, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-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, 61, 38, 62)(39, 63, 43, 64)(40, 65, 42, 67)(41, 66, 46, 68)(44, 69, 45, 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)(59, 83, 60, 84)(85, 109, 86, 110)(87, 111, 88, 112)(89, 113, 90, 115)(91, 114, 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)(107, 131, 108, 132)(133, 152, 134, 151)(135, 148, 136, 147)(137, 145, 138, 146)(139, 150, 140, 149)(141, 143, 142, 144)
	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, 46)(36, 41)(39, 62)(40, 66)(42, 68)(43, 61)(44, 63)(45, 64)(47, 65)(48, 67)(49, 69)(50, 70)(51, 71)(52, 72)(53, 73)(54, 74)(55, 75)(56, 76)(57, 77)(58, 78)(59, 79)(60, 80)(81, 85)(82, 86)(83, 92)(84, 91)(87, 110)(88, 109)(89, 114)(90, 116)(93, 111)(94, 112)(95, 113)(96, 115)(97, 117)(98, 118)(99, 119)(100, 120)(101, 121)(102, 122)(103, 123)(104, 124)(105, 125)(106, 126)(107, 127)(108, 128)(129, 133)(130, 134)(131, 140)(132, 139)(135, 151)(136, 152)(137, 150)(138, 149)(141, 148)(142, 147)(143, 145)(144, 146)
	local type(s) :: { ( 76^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2177
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 38 e = 76 f = 2
	degree seq :: [ 4^38 ]

E19.2179 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 76})
Quotient :: edge
Aut^+ = C4 x D38 (small group id <152, 4>)
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^-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 * 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, 39, 36, 44)(40, 59, 41, 57)(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, 95, 72, 93)(64, 97, 66, 98)(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, 133, 112, 134)(106, 138, 107, 137)(110, 142, 111, 141)(115, 145, 116, 144)(119, 149, 120, 148)(123, 151, 124, 150)(127, 147, 128, 146)(131, 143, 132, 152)(135, 139, 136, 140)(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, 209)(190, 211)(191, 213)(192, 215)(193, 217)(194, 219)(195, 222)(196, 220)(197, 225)(198, 227)(199, 229)(200, 231)(201, 233)(202, 235)(203, 237)(204, 239)(205, 241)(206, 243)(207, 245)(208, 247)(210, 250)(212, 249)(214, 254)(216, 257)(218, 256)(221, 261)(223, 260)(224, 253)(226, 266)(228, 265)(230, 270)(232, 269)(234, 274)(236, 273)(238, 278)(240, 277)(242, 282)(244, 281)(246, 286)(248, 285)(251, 289)(252, 290)(255, 293)(258, 296)(259, 297)(262, 300)(263, 301)(264, 294)(267, 302)(268, 303)(271, 298)(272, 299)(275, 304)(276, 295)(279, 292)(280, 291)(283, 287)(284, 288)
	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) :: { ( 152, 152 ), ( 152^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2183
Transitivity :: ET+
Graph:: simple bipartite
	v = 114 e = 152 f = 2
	degree seq :: [ 2^76, 4^38 ]

E19.2180 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 76})
Quotient :: edge
Aut^+ = C4 x D38 (small group id <152, 4>)
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, T1^-1 * T2^-38 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 114, 120, 135, 145, 151, 142, 130, 141, 150, 152, 110, 105, 101, 97, 93, 88, 81, 74, 80, 87, 92, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 109, 144, 131, 122, 133, 147, 139, 128, 118, 124, 116, 108, 104, 100, 96, 91, 86, 79, 73, 69, 71, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 111, 123, 119, 127, 140, 148, 136, 126, 137, 149, 113, 107, 103, 99, 95, 90, 84, 77, 72, 78, 85, 65, 57, 49, 41, 33, 25, 17, 9, 4, 11, 19, 27, 35, 43, 51, 59, 67, 115, 125, 117, 129, 138, 146, 134, 121, 132, 143, 112, 106, 102, 98, 94, 89, 83, 76, 70, 75, 82, 64, 56, 48, 40, 32, 24, 16, 8)(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, 261, 217)(212, 215, 244, 219)(218, 237, 296, 234)(220, 267, 239, 263)(221, 269, 226, 271)(222, 272, 224, 274)(223, 275, 232, 277)(225, 279, 233, 281)(227, 283, 230, 266)(228, 285, 229, 287)(231, 290, 240, 292)(235, 297, 236, 299)(238, 300, 245, 298)(241, 291, 242, 303)(243, 286, 249, 288)(246, 294, 247, 280)(248, 278, 253, 273)(250, 270, 251, 282)(252, 284, 257, 289)(254, 293, 255, 276)(256, 301, 262, 295)(258, 268, 259, 302)(260, 264, 304, 265)
	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 ), ( 4^76 ) }
Outer automorphisms :: reflexible
Dual of E19.2184
Transitivity :: ET+
Graph:: bipartite
	v = 40 e = 152 f = 76
	degree seq :: [ 4^38, 76^2 ]

E19.2181 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 76})
Quotient :: edge
Aut^+ = C4 x D38 (small group id <152, 4>)
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, T1^35 * T2 * T1^-3 * T2 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 113)(63, 103)(67, 117)(68, 88)(69, 119)(70, 121)(71, 123)(72, 125)(73, 127)(74, 129)(75, 122)(76, 131)(77, 133)(78, 135)(79, 132)(80, 137)(81, 128)(82, 139)(83, 141)(84, 143)(85, 134)(86, 120)(87, 140)(89, 146)(90, 142)(91, 124)(92, 126)(93, 148)(94, 144)(95, 147)(96, 130)(97, 149)(98, 150)(99, 136)(100, 118)(101, 138)(102, 114)(104, 151)(105, 111)(106, 145)(107, 152)(108, 109)(110, 116)(112, 115)(153, 154, 157, 163, 172, 181, 189, 197, 205, 213, 230, 224, 221, 222, 225, 231, 239, 247, 252, 257, 261, 266, 288, 278, 272, 274, 280, 283, 291, 298, 269, 218, 210, 202, 194, 186, 178, 168, 175, 169, 176, 184, 192, 200, 208, 216, 255, 250, 245, 236, 242, 237, 243, 248, 253, 258, 262, 267, 304, 303, 301, 296, 293, 285, 275, 281, 289, 220, 212, 204, 196, 188, 180, 171, 162, 156)(155, 159, 167, 177, 185, 193, 201, 209, 217, 241, 232, 228, 223, 227, 235, 244, 249, 254, 259, 263, 268, 299, 290, 284, 276, 273, 294, 277, 300, 265, 215, 206, 199, 190, 183, 173, 166, 158, 165, 161, 170, 179, 187, 195, 203, 211, 219, 240, 234, 226, 233, 229, 238, 246, 251, 256, 260, 264, 270, 297, 292, 282, 279, 286, 271, 295, 287, 302, 214, 207, 198, 191, 182, 174, 164, 160)
	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 ), ( 8^76 ) }
Outer automorphisms :: reflexible
Dual of E19.2182
Transitivity :: ET+
Graph:: simple bipartite
	v = 78 e = 152 f = 38
	degree seq :: [ 2^76, 76^2 ]

E19.2182 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 76})
Quotient :: loop
Aut^+ = C4 x D38 (small group id <152, 4>)
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^-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 * T2^-1 * T1 * T2^-1 * T1 ]
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, 39, 191, 36, 188, 44, 196)(40, 192, 59, 211, 41, 193, 57, 209)(42, 194, 68, 220, 43, 195, 61, 213)(45, 197, 65, 217, 46, 198, 63, 215)(47, 199, 70, 222, 48, 200, 67, 219)(49, 201, 75, 227, 50, 202, 73, 225)(51, 203, 79, 231, 52, 204, 77, 229)(53, 205, 83, 235, 54, 206, 81, 233)(55, 207, 87, 239, 56, 208, 85, 237)(58, 210, 91, 243, 60, 212, 89, 241)(62, 214, 95, 247, 72, 224, 93, 245)(64, 216, 97, 249, 66, 218, 98, 250)(69, 221, 101, 253, 71, 223, 102, 254)(74, 226, 104, 256, 76, 228, 105, 257)(78, 230, 108, 260, 80, 232, 109, 261)(82, 234, 113, 265, 84, 236, 114, 266)(86, 238, 117, 269, 88, 240, 118, 270)(90, 242, 121, 273, 92, 244, 122, 274)(94, 246, 125, 277, 96, 248, 126, 278)(99, 251, 129, 281, 100, 252, 130, 282)(103, 255, 133, 285, 112, 264, 134, 286)(106, 258, 138, 290, 107, 259, 137, 289)(110, 262, 142, 294, 111, 263, 141, 293)(115, 267, 145, 297, 116, 268, 144, 296)(119, 271, 149, 301, 120, 272, 148, 300)(123, 275, 151, 303, 124, 276, 150, 302)(127, 279, 147, 299, 128, 280, 146, 298)(131, 283, 143, 295, 132, 284, 152, 304)(135, 287, 139, 291, 136, 288, 140, 292)
	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, 209)(38, 211)(39, 213)(40, 215)(41, 217)(42, 219)(43, 222)(44, 220)(45, 225)(46, 227)(47, 229)(48, 231)(49, 233)(50, 235)(51, 237)(52, 239)(53, 241)(54, 243)(55, 245)(56, 247)(57, 189)(58, 250)(59, 190)(60, 249)(61, 191)(62, 254)(63, 192)(64, 257)(65, 193)(66, 256)(67, 194)(68, 196)(69, 261)(70, 195)(71, 260)(72, 253)(73, 197)(74, 266)(75, 198)(76, 265)(77, 199)(78, 270)(79, 200)(80, 269)(81, 201)(82, 274)(83, 202)(84, 273)(85, 203)(86, 278)(87, 204)(88, 277)(89, 205)(90, 282)(91, 206)(92, 281)(93, 207)(94, 286)(95, 208)(96, 285)(97, 212)(98, 210)(99, 289)(100, 290)(101, 224)(102, 214)(103, 293)(104, 218)(105, 216)(106, 296)(107, 297)(108, 223)(109, 221)(110, 300)(111, 301)(112, 294)(113, 228)(114, 226)(115, 302)(116, 303)(117, 232)(118, 230)(119, 298)(120, 299)(121, 236)(122, 234)(123, 304)(124, 295)(125, 240)(126, 238)(127, 292)(128, 291)(129, 244)(130, 242)(131, 287)(132, 288)(133, 248)(134, 246)(135, 283)(136, 284)(137, 251)(138, 252)(139, 280)(140, 279)(141, 255)(142, 264)(143, 276)(144, 258)(145, 259)(146, 271)(147, 272)(148, 262)(149, 263)(150, 267)(151, 268)(152, 275)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E19.2181
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 38 e = 152 f = 78
	degree seq :: [ 8^38 ]

E19.2183 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 76})
Quotient :: loop
Aut^+ = C4 x D38 (small group id <152, 4>)
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, T1^-1 * T2^-38 * T1^-1 ]
Map::
	R = (1, 153, 3, 155, 10, 162, 18, 170, 26, 178, 34, 186, 42, 194, 50, 202, 58, 210, 66, 218, 109, 261, 116, 268, 121, 273, 125, 277, 129, 281, 133, 285, 137, 289, 141, 293, 146, 298, 149, 301, 112, 264, 102, 254, 100, 252, 94, 246, 92, 244, 86, 238, 84, 236, 75, 227, 72, 224, 76, 228, 82, 234, 62, 214, 54, 206, 46, 198, 38, 190, 30, 182, 22, 174, 14, 166, 6, 158, 13, 165, 21, 173, 29, 181, 37, 189, 45, 197, 53, 205, 61, 213, 105, 257, 118, 270, 113, 265, 117, 269, 122, 274, 126, 278, 130, 282, 134, 286, 138, 290, 142, 294, 147, 299, 150, 302, 108, 260, 104, 256, 98, 250, 96, 248, 90, 242, 88, 240, 81, 233, 78, 230, 70, 222, 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, 114, 266, 119, 271, 123, 275, 127, 279, 131, 283, 135, 287, 139, 291, 144, 296, 151, 303, 148, 300, 103, 255, 106, 258, 95, 247, 97, 249, 87, 239, 89, 241, 77, 229, 79, 231, 69, 221, 80, 232, 65, 217, 57, 209, 49, 201, 41, 193, 33, 185, 25, 177, 17, 169, 9, 161, 4, 156, 11, 163, 19, 171, 27, 179, 35, 187, 43, 195, 51, 203, 59, 211, 67, 219, 111, 263, 115, 267, 120, 272, 124, 276, 128, 280, 132, 284, 136, 288, 140, 292, 145, 297, 152, 304, 110, 262, 143, 295, 99, 251, 101, 253, 91, 243, 93, 245, 83, 235, 85, 237, 71, 223, 74, 226, 73, 225, 64, 216, 56, 208, 48, 200, 40, 192, 32, 184, 24, 176, 16, 168, 8, 160)
	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, 232)(67, 212)(68, 263)(69, 261)(70, 266)(71, 268)(72, 267)(73, 218)(74, 265)(75, 271)(76, 259)(77, 273)(78, 272)(79, 269)(80, 270)(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, 226)(110, 301)(111, 228)(112, 304)(113, 221)(114, 224)(115, 222)(116, 231)(117, 223)(118, 225)(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, 302)(149, 300)(150, 262)(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, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E19.2179
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 152 f = 114
	degree seq :: [ 152^2 ]

E19.2184 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 76})
Quotient :: loop
Aut^+ = C4 x D38 (small group id <152, 4>)
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, T1^35 * T2 * T1^-3 * T2 ]
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, 75, 227)(63, 215, 107, 259)(67, 219, 86, 238)(68, 220, 111, 263)(69, 221, 113, 265)(70, 222, 105, 257)(71, 223, 116, 268)(72, 224, 118, 270)(73, 225, 120, 272)(74, 226, 122, 274)(76, 228, 125, 277)(77, 229, 127, 279)(78, 230, 129, 281)(79, 231, 131, 283)(80, 232, 133, 285)(81, 233, 109, 261)(82, 234, 136, 288)(83, 235, 138, 290)(84, 236, 140, 292)(85, 237, 142, 294)(87, 239, 145, 297)(88, 240, 147, 299)(89, 241, 149, 301)(90, 242, 148, 300)(91, 243, 151, 303)(92, 244, 141, 293)(93, 245, 152, 304)(94, 246, 137, 289)(95, 247, 150, 302)(96, 248, 132, 284)(97, 249, 146, 298)(98, 250, 126, 278)(99, 251, 139, 291)(100, 252, 123, 275)(101, 253, 134, 286)(102, 254, 117, 269)(103, 255, 128, 280)(104, 256, 130, 282)(106, 258, 143, 295)(108, 260, 114, 266)(110, 262, 119, 271)(112, 264, 121, 273)(115, 267, 144, 296)(124, 276, 135, 287)
	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, 257)(62, 207)(63, 206)(64, 259)(65, 261)(66, 210)(67, 263)(68, 212)(69, 220)(70, 225)(71, 221)(72, 230)(73, 214)(74, 222)(75, 215)(76, 223)(77, 226)(78, 227)(79, 224)(80, 237)(81, 238)(82, 228)(83, 231)(84, 229)(85, 233)(86, 218)(87, 232)(88, 234)(89, 236)(90, 235)(91, 239)(92, 240)(93, 242)(94, 241)(95, 243)(96, 244)(97, 246)(98, 245)(99, 247)(100, 248)(101, 250)(102, 249)(103, 251)(104, 252)(105, 270)(106, 254)(107, 272)(108, 253)(109, 265)(110, 255)(111, 294)(112, 256)(113, 285)(114, 264)(115, 273)(116, 297)(117, 266)(118, 279)(119, 282)(120, 281)(121, 258)(122, 283)(123, 267)(124, 260)(125, 303)(126, 269)(127, 290)(128, 275)(129, 274)(130, 276)(131, 292)(132, 271)(133, 277)(134, 295)(135, 296)(136, 302)(137, 278)(138, 301)(139, 284)(140, 300)(141, 280)(142, 268)(143, 287)(144, 262)(145, 288)(146, 286)(147, 291)(148, 289)(149, 304)(150, 293)(151, 299)(152, 298)
	local type(s) :: { ( 4, 76, 4, 76 ) }
Outer automorphisms :: reflexible
Dual of E19.2180
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 76 e = 152 f = 40
	degree seq :: [ 4^76 ]

E19.2185 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 76})
Quotient :: dipole
Aut^+ = C4 x D38 (small group id <152, 4>)
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, (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 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^76 ]
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, 61, 213)(38, 190, 62, 214)(39, 191, 63, 215)(40, 192, 64, 216)(41, 193, 65, 217)(42, 194, 66, 218)(43, 195, 67, 219)(44, 196, 68, 220)(45, 197, 69, 221)(46, 198, 70, 222)(47, 199, 71, 223)(48, 200, 72, 224)(49, 201, 73, 225)(50, 202, 74, 226)(51, 203, 75, 227)(52, 204, 76, 228)(53, 205, 77, 229)(54, 206, 78, 230)(55, 207, 79, 231)(56, 208, 80, 232)(57, 209, 81, 233)(58, 210, 82, 234)(59, 211, 83, 235)(60, 212, 84, 236)(85, 237, 109, 261)(86, 238, 110, 262)(87, 239, 111, 263)(88, 240, 112, 264)(89, 241, 113, 265)(90, 242, 114, 266)(91, 243, 115, 267)(92, 244, 116, 268)(93, 245, 117, 269)(94, 246, 118, 270)(95, 247, 119, 271)(96, 248, 120, 272)(97, 249, 121, 273)(98, 250, 122, 274)(99, 251, 123, 275)(100, 252, 124, 276)(101, 253, 125, 277)(102, 254, 126, 278)(103, 255, 127, 279)(104, 256, 128, 280)(105, 257, 129, 281)(106, 258, 130, 282)(107, 259, 131, 283)(108, 260, 132, 284)(133, 285, 151, 303)(134, 286, 152, 304)(135, 287, 148, 300)(136, 288, 146, 298)(137, 289, 150, 302)(138, 290, 149, 301)(139, 291, 142, 294)(140, 292, 147, 299)(141, 293, 144, 296)(143, 295, 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, 346, 498, 340, 492, 345, 497)(343, 495, 366, 518, 348, 500, 365, 517)(344, 496, 369, 521, 351, 503, 370, 522)(347, 499, 372, 524, 349, 501, 367, 519)(350, 502, 375, 527, 352, 504, 368, 520)(353, 505, 373, 525, 354, 506, 371, 523)(355, 507, 376, 528, 356, 508, 374, 526)(357, 509, 378, 530, 358, 510, 377, 529)(359, 511, 380, 532, 360, 512, 379, 531)(361, 513, 382, 534, 362, 514, 381, 533)(363, 515, 384, 536, 364, 516, 383, 535)(385, 537, 389, 541, 386, 538, 390, 542)(387, 539, 394, 546, 388, 540, 393, 545)(391, 543, 414, 566, 396, 548, 413, 565)(392, 544, 417, 569, 399, 551, 418, 570)(395, 547, 420, 572, 397, 549, 415, 567)(398, 550, 423, 575, 400, 552, 416, 568)(401, 553, 421, 573, 402, 554, 419, 571)(403, 555, 424, 576, 404, 556, 422, 574)(405, 557, 426, 578, 406, 558, 425, 577)(407, 559, 428, 580, 408, 560, 427, 579)(409, 561, 430, 582, 410, 562, 429, 581)(411, 563, 432, 584, 412, 564, 431, 583)(433, 585, 437, 589, 434, 586, 438, 590)(435, 587, 442, 594, 436, 588, 441, 593)(439, 591, 456, 608, 444, 596, 455, 607)(440, 592, 454, 606, 447, 599, 453, 605)(443, 595, 451, 603, 445, 597, 452, 604)(446, 598, 449, 601, 448, 600, 450, 602)
	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, 365)(38, 366)(39, 367)(40, 368)(41, 369)(42, 370)(43, 371)(44, 372)(45, 373)(46, 374)(47, 375)(48, 376)(49, 377)(50, 378)(51, 379)(52, 380)(53, 381)(54, 382)(55, 383)(56, 384)(57, 385)(58, 386)(59, 387)(60, 388)(61, 341)(62, 342)(63, 343)(64, 344)(65, 345)(66, 346)(67, 347)(68, 348)(69, 349)(70, 350)(71, 351)(72, 352)(73, 353)(74, 354)(75, 355)(76, 356)(77, 357)(78, 358)(79, 359)(80, 360)(81, 361)(82, 362)(83, 363)(84, 364)(85, 413)(86, 414)(87, 415)(88, 416)(89, 417)(90, 418)(91, 419)(92, 420)(93, 421)(94, 422)(95, 423)(96, 424)(97, 425)(98, 426)(99, 427)(100, 428)(101, 429)(102, 430)(103, 431)(104, 432)(105, 433)(106, 434)(107, 435)(108, 436)(109, 389)(110, 390)(111, 391)(112, 392)(113, 393)(114, 394)(115, 395)(116, 396)(117, 397)(118, 398)(119, 399)(120, 400)(121, 401)(122, 402)(123, 403)(124, 404)(125, 405)(126, 406)(127, 407)(128, 408)(129, 409)(130, 410)(131, 411)(132, 412)(133, 455)(134, 456)(135, 452)(136, 450)(137, 454)(138, 453)(139, 446)(140, 451)(141, 448)(142, 443)(143, 449)(144, 445)(145, 447)(146, 440)(147, 444)(148, 439)(149, 442)(150, 441)(151, 437)(152, 438)(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, 152, 2, 152 ), ( 2, 152, 2, 152, 2, 152, 2, 152 ) }
Outer automorphisms :: reflexible
Dual of E19.2188
Graph:: bipartite
	v = 114 e = 304 f = 154
	degree seq :: [ 4^76, 8^38 ]

E19.2186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 76})
Quotient :: dipole
Aut^+ = C4 x D38 (small group id <152, 4>)
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, Y1^-1 * Y2^-38 * Y1^-1 ]
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, 69, 221, 65, 217)(60, 212, 63, 215, 98, 250, 67, 219)(66, 218, 100, 252, 70, 222, 104, 256)(68, 220, 71, 223, 106, 258, 73, 225)(72, 224, 108, 260, 77, 229, 110, 262)(74, 226, 112, 264, 76, 228, 114, 266)(75, 227, 115, 267, 81, 233, 117, 269)(78, 230, 120, 272, 80, 232, 122, 274)(79, 231, 123, 275, 85, 237, 125, 277)(82, 234, 128, 280, 84, 236, 130, 282)(83, 235, 131, 283, 89, 241, 133, 285)(86, 238, 136, 288, 88, 240, 138, 290)(87, 239, 139, 291, 93, 245, 141, 293)(90, 242, 144, 296, 92, 244, 146, 298)(91, 243, 147, 299, 97, 249, 149, 301)(94, 246, 148, 300, 96, 248, 152, 304)(95, 247, 145, 297, 103, 255, 150, 302)(99, 251, 151, 303, 102, 254, 140, 292)(101, 253, 142, 294, 105, 257, 137, 289)(107, 259, 143, 295, 111, 263, 132, 284)(109, 261, 134, 286, 119, 271, 129, 281)(113, 265, 124, 276, 118, 270, 135, 287)(116, 268, 121, 273, 127, 279, 126, 278)(305, 457, 307, 459, 314, 466, 322, 474, 330, 482, 338, 490, 346, 498, 354, 506, 362, 514, 370, 522, 381, 533, 385, 537, 389, 541, 393, 545, 397, 549, 401, 553, 407, 559, 409, 561, 413, 565, 420, 572, 428, 580, 436, 588, 444, 596, 452, 604, 450, 602, 440, 592, 434, 586, 424, 576, 418, 570, 410, 562, 402, 554, 366, 518, 358, 510, 350, 502, 342, 494, 334, 486, 326, 478, 318, 470, 310, 462, 317, 469, 325, 477, 333, 485, 341, 493, 349, 501, 357, 509, 365, 517, 373, 525, 374, 526, 376, 528, 379, 531, 383, 535, 387, 539, 391, 543, 395, 547, 399, 551, 405, 557, 423, 575, 431, 583, 439, 591, 447, 599, 455, 607, 456, 608, 448, 600, 442, 594, 432, 584, 426, 578, 416, 568, 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, 377, 529, 380, 532, 384, 536, 388, 540, 392, 544, 396, 548, 400, 552, 406, 558, 411, 563, 417, 569, 425, 577, 433, 585, 441, 593, 449, 601, 453, 605, 443, 595, 437, 589, 427, 579, 421, 573, 412, 564, 404, 556, 369, 521, 361, 513, 353, 505, 345, 497, 337, 489, 329, 481, 321, 473, 313, 465, 308, 460, 315, 467, 323, 475, 331, 483, 339, 491, 347, 499, 355, 507, 363, 515, 371, 523, 375, 527, 378, 530, 382, 534, 386, 538, 390, 542, 394, 546, 398, 550, 403, 555, 415, 567, 422, 574, 430, 582, 438, 590, 446, 598, 454, 606, 451, 603, 445, 597, 435, 587, 429, 581, 419, 571, 414, 566, 408, 560, 368, 520, 360, 512, 352, 504, 344, 496, 336, 488, 328, 480, 320, 472, 312, 464)
	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, 373)(62, 358)(63, 377)(64, 360)(65, 361)(66, 381)(67, 375)(68, 364)(69, 374)(70, 376)(71, 378)(72, 379)(73, 380)(74, 382)(75, 383)(76, 384)(77, 385)(78, 386)(79, 387)(80, 388)(81, 389)(82, 390)(83, 391)(84, 392)(85, 393)(86, 394)(87, 395)(88, 396)(89, 397)(90, 398)(91, 399)(92, 400)(93, 401)(94, 403)(95, 405)(96, 406)(97, 407)(98, 366)(99, 415)(100, 369)(101, 423)(102, 411)(103, 409)(104, 368)(105, 413)(106, 402)(107, 417)(108, 404)(109, 420)(110, 408)(111, 422)(112, 372)(113, 425)(114, 410)(115, 414)(116, 428)(117, 412)(118, 430)(119, 431)(120, 418)(121, 433)(122, 416)(123, 421)(124, 436)(125, 419)(126, 438)(127, 439)(128, 426)(129, 441)(130, 424)(131, 429)(132, 444)(133, 427)(134, 446)(135, 447)(136, 434)(137, 449)(138, 432)(139, 437)(140, 452)(141, 435)(142, 454)(143, 455)(144, 442)(145, 453)(146, 440)(147, 445)(148, 450)(149, 443)(150, 451)(151, 456)(152, 448)(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, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E19.2187
Graph:: bipartite
	v = 40 e = 304 f = 228
	degree seq :: [ 8^38, 152^2 ]

E19.2187 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 76})
Quotient :: dipole
Aut^+ = C4 x D38 (small group id <152, 4>)
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, Y3^35 * Y2 * Y3^-1 * Y2 * Y3^2, (Y3^-1 * Y1^-1)^76 ]
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, 386, 538)(370, 522, 412, 564)(371, 523, 413, 565)(372, 524, 375, 527)(373, 525, 415, 567)(374, 526, 416, 568)(376, 528, 417, 569)(377, 529, 418, 570)(378, 530, 419, 571)(379, 531, 420, 572)(380, 532, 421, 573)(381, 533, 422, 574)(382, 534, 423, 575)(383, 535, 424, 576)(384, 536, 425, 577)(385, 537, 426, 578)(387, 539, 427, 579)(388, 540, 428, 580)(389, 541, 429, 581)(390, 542, 430, 582)(391, 543, 431, 583)(392, 544, 432, 584)(393, 545, 433, 585)(394, 546, 434, 586)(395, 547, 435, 587)(396, 548, 436, 588)(397, 549, 437, 589)(398, 550, 438, 590)(399, 551, 439, 591)(400, 552, 440, 592)(401, 553, 441, 593)(402, 554, 442, 594)(403, 555, 443, 595)(404, 556, 444, 596)(405, 557, 446, 598)(406, 558, 447, 599)(407, 559, 448, 600)(408, 560, 449, 601)(409, 561, 451, 603)(410, 562, 452, 604)(411, 563, 454, 606)(414, 566, 455, 607)(445, 597, 456, 608)(450, 602, 453, 605)
	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, 382)(63, 386)(64, 360)(65, 361)(66, 374)(67, 375)(68, 364)(69, 381)(70, 379)(71, 388)(72, 389)(73, 384)(74, 385)(75, 383)(76, 393)(77, 380)(78, 373)(79, 391)(80, 378)(81, 390)(82, 377)(83, 397)(84, 376)(85, 387)(86, 395)(87, 394)(88, 401)(89, 392)(90, 399)(91, 398)(92, 405)(93, 396)(94, 403)(95, 402)(96, 409)(97, 400)(98, 407)(99, 406)(100, 445)(101, 404)(102, 411)(103, 410)(104, 450)(105, 408)(106, 453)(107, 455)(108, 369)(109, 365)(110, 452)(111, 372)(112, 418)(113, 415)(114, 368)(115, 416)(116, 425)(117, 417)(118, 428)(119, 413)(120, 419)(121, 412)(122, 420)(123, 421)(124, 423)(125, 422)(126, 424)(127, 426)(128, 427)(129, 429)(130, 430)(131, 431)(132, 432)(133, 433)(134, 434)(135, 435)(136, 436)(137, 437)(138, 438)(139, 439)(140, 440)(141, 414)(142, 441)(143, 442)(144, 443)(145, 444)(146, 454)(147, 446)(148, 447)(149, 456)(150, 448)(151, 449)(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) :: { ( 8, 152 ), ( 8, 152, 8, 152 ) }
Outer automorphisms :: reflexible
Dual of E19.2186
Graph:: simple bipartite
	v = 228 e = 304 f = 40
	degree seq :: [ 2^152, 4^76 ]

E19.2188 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 76})
Quotient :: dipole
Aut^+ = C4 x D38 (small group id <152, 4>)
Aut   = D8 x D38 (small group id <304, 31>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3)^2, (Y3 * Y1^-2)^2, (Y3 * Y1)^4, Y1^-2 * Y3 * Y1^17 * Y3 * Y1^-19 ]
Map::
	R = (1, 153, 2, 154, 5, 157, 11, 163, 20, 172, 29, 181, 37, 189, 45, 197, 53, 205, 61, 213, 112, 264, 104, 256, 96, 248, 87, 239, 78, 230, 72, 224, 69, 221, 70, 222, 73, 225, 79, 231, 88, 240, 97, 249, 105, 257, 113, 265, 120, 272, 128, 280, 144, 296, 148, 300, 141, 293, 137, 289, 133, 285, 66, 218, 58, 210, 50, 202, 42, 194, 34, 186, 26, 178, 16, 168, 23, 175, 17, 169, 24, 176, 32, 184, 40, 192, 48, 200, 56, 208, 64, 216, 129, 281, 132, 284, 125, 277, 118, 270, 110, 262, 102, 254, 94, 246, 84, 236, 91, 243, 85, 237, 92, 244, 100, 252, 108, 260, 116, 268, 123, 275, 130, 282, 135, 287, 138, 290, 142, 294, 149, 301, 152, 304, 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, 122, 274, 114, 266, 107, 259, 98, 250, 90, 242, 80, 232, 76, 228, 71, 223, 75, 227, 83, 235, 93, 245, 101, 253, 109, 261, 117, 269, 124, 276, 131, 283, 136, 288, 151, 303, 147, 299, 143, 295, 127, 279, 63, 215, 54, 206, 47, 199, 38, 190, 31, 183, 21, 173, 14, 166, 6, 158, 13, 165, 9, 161, 18, 170, 27, 179, 35, 187, 43, 195, 51, 203, 59, 211, 67, 219, 121, 273, 115, 267, 106, 258, 99, 251, 89, 241, 82, 234, 74, 226, 81, 233, 77, 229, 86, 238, 95, 247, 103, 255, 111, 263, 119, 271, 126, 278, 134, 286, 146, 298, 140, 292, 150, 302, 145, 297, 139, 291, 62, 214, 55, 207, 46, 198, 39, 191, 30, 182, 22, 174, 12, 164, 8, 160)(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, 431)(62, 357)(63, 433)(64, 359)(65, 364)(66, 361)(67, 437)(68, 425)(69, 423)(70, 413)(71, 427)(72, 428)(73, 407)(74, 434)(75, 401)(76, 417)(77, 420)(78, 438)(79, 397)(80, 439)(81, 409)(82, 424)(83, 412)(84, 430)(85, 415)(86, 392)(87, 440)(88, 390)(89, 442)(90, 432)(91, 421)(92, 405)(93, 383)(94, 435)(95, 404)(96, 444)(97, 379)(98, 446)(99, 448)(100, 399)(101, 396)(102, 450)(103, 377)(104, 451)(105, 385)(106, 453)(107, 452)(108, 387)(109, 374)(110, 455)(111, 389)(112, 449)(113, 380)(114, 456)(115, 445)(116, 381)(117, 395)(118, 454)(119, 373)(120, 386)(121, 372)(122, 441)(123, 375)(124, 376)(125, 447)(126, 388)(127, 365)(128, 394)(129, 367)(130, 378)(131, 398)(132, 443)(133, 371)(134, 382)(135, 384)(136, 391)(137, 426)(138, 393)(139, 436)(140, 400)(141, 419)(142, 402)(143, 429)(144, 403)(145, 416)(146, 406)(147, 408)(148, 411)(149, 410)(150, 422)(151, 414)(152, 418)(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, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E19.2185
Graph:: simple bipartite
	v = 154 e = 304 f = 114
	degree seq :: [ 2^152, 152^2 ]

E19.2189 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 76})
Quotient :: dipole
Aut^+ = C4 x D38 (small group id <152, 4>)
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, Y2^17 * Y1 * Y2^-21 * Y1 ]
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, 107, 259)(66, 218, 73, 225)(67, 219, 76, 228)(68, 220, 111, 263)(69, 221, 113, 265)(70, 222, 115, 267)(71, 223, 106, 258)(72, 224, 118, 270)(74, 226, 121, 273)(75, 227, 123, 275)(77, 229, 126, 278)(78, 230, 128, 280)(79, 231, 130, 282)(80, 232, 132, 284)(81, 233, 110, 262)(82, 234, 135, 287)(83, 235, 137, 289)(84, 236, 139, 291)(85, 237, 141, 293)(86, 238, 143, 295)(87, 239, 145, 297)(88, 240, 147, 299)(89, 241, 149, 301)(90, 242, 148, 300)(91, 243, 151, 303)(92, 244, 146, 298)(93, 245, 152, 304)(94, 246, 150, 302)(95, 247, 138, 290)(96, 248, 133, 285)(97, 249, 144, 296)(98, 250, 129, 281)(99, 251, 142, 294)(100, 252, 124, 276)(101, 253, 136, 288)(102, 254, 131, 283)(103, 255, 119, 271)(104, 256, 116, 268)(105, 257, 122, 274)(108, 260, 114, 266)(109, 261, 140, 292)(112, 264, 127, 279)(117, 269, 120, 272)(125, 277, 134, 286)(305, 457, 307, 459, 312, 464, 321, 473, 330, 482, 338, 490, 346, 498, 354, 506, 362, 514, 370, 522, 414, 566, 425, 577, 439, 591, 447, 599, 455, 607, 454, 606, 446, 598, 435, 587, 444, 596, 416, 568, 408, 560, 404, 556, 400, 552, 396, 548, 392, 544, 387, 539, 382, 534, 376, 528, 373, 525, 375, 527, 380, 532, 365, 517, 357, 509, 349, 501, 341, 493, 333, 485, 325, 477, 315, 467, 324, 476, 317, 469, 327, 479, 335, 487, 343, 495, 351, 503, 359, 511, 367, 519, 411, 563, 430, 582, 419, 571, 427, 579, 436, 588, 449, 601, 452, 604, 442, 594, 433, 585, 423, 575, 418, 570, 421, 573, 429, 581, 409, 561, 405, 557, 401, 553, 397, 549, 393, 545, 389, 541, 383, 535, 388, 540, 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, 410, 562, 443, 595, 422, 574, 445, 597, 441, 593, 456, 608, 450, 602, 440, 592, 428, 580, 438, 590, 431, 583, 412, 564, 406, 558, 402, 554, 398, 550, 394, 546, 390, 542, 384, 536, 378, 530, 374, 526, 377, 529, 369, 521, 361, 513, 353, 505, 345, 497, 337, 489, 329, 481, 320, 472, 311, 463, 319, 471, 313, 465, 322, 474, 331, 483, 339, 491, 347, 499, 355, 507, 363, 515, 371, 523, 415, 567, 417, 569, 434, 586, 432, 584, 453, 605, 451, 603, 448, 600, 437, 589, 426, 578, 420, 572, 424, 576, 413, 565, 407, 559, 403, 555, 399, 551, 395, 547, 391, 543, 386, 538, 379, 531, 385, 537, 381, 533, 368, 520, 360, 512, 352, 504, 344, 496, 336, 488, 328, 480, 318, 470, 310, 462)
	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, 411)(66, 377)(67, 380)(68, 415)(69, 417)(70, 419)(71, 410)(72, 422)(73, 370)(74, 425)(75, 427)(76, 371)(77, 430)(78, 432)(79, 434)(80, 436)(81, 414)(82, 439)(83, 441)(84, 443)(85, 445)(86, 447)(87, 449)(88, 451)(89, 453)(90, 452)(91, 455)(92, 450)(93, 456)(94, 454)(95, 442)(96, 437)(97, 448)(98, 433)(99, 446)(100, 428)(101, 440)(102, 435)(103, 423)(104, 420)(105, 426)(106, 375)(107, 369)(108, 418)(109, 444)(110, 385)(111, 372)(112, 431)(113, 373)(114, 412)(115, 374)(116, 408)(117, 424)(118, 376)(119, 407)(120, 421)(121, 378)(122, 409)(123, 379)(124, 404)(125, 438)(126, 381)(127, 416)(128, 382)(129, 402)(130, 383)(131, 406)(132, 384)(133, 400)(134, 429)(135, 386)(136, 405)(137, 387)(138, 399)(139, 388)(140, 413)(141, 389)(142, 403)(143, 390)(144, 401)(145, 391)(146, 396)(147, 392)(148, 394)(149, 393)(150, 398)(151, 395)(152, 397)(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, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E19.2190
Graph:: bipartite
	v = 78 e = 304 f = 190
	degree seq :: [ 4^76, 152^2 ]

E19.2190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 76})
Quotient :: dipole
Aut^+ = C4 x D38 (small group id <152, 4>)
Aut   = D8 x D38 (small group id <304, 31>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^37 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^76 ]
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, 89, 241, 65, 217)(60, 212, 63, 215, 110, 262, 67, 219)(66, 218, 113, 265, 85, 237, 132, 284)(68, 220, 78, 230, 127, 279, 87, 239)(69, 221, 115, 267, 74, 226, 116, 268)(70, 222, 117, 269, 72, 224, 118, 270)(71, 223, 119, 271, 81, 233, 120, 272)(73, 225, 121, 273, 82, 234, 122, 274)(75, 227, 123, 275, 79, 231, 124, 276)(76, 228, 125, 277, 77, 229, 126, 278)(80, 232, 128, 280, 88, 240, 129, 281)(83, 235, 130, 282, 84, 236, 131, 283)(86, 238, 133, 285, 93, 245, 134, 286)(90, 242, 135, 287, 91, 243, 136, 288)(92, 244, 137, 289, 97, 249, 138, 290)(94, 246, 139, 291, 95, 247, 140, 292)(96, 248, 141, 293, 101, 253, 142, 294)(98, 250, 143, 295, 99, 251, 144, 296)(100, 252, 145, 297, 105, 257, 146, 298)(102, 254, 147, 299, 103, 255, 148, 300)(104, 256, 149, 301, 109, 261, 151, 303)(106, 258, 114, 266, 107, 259, 152, 304)(108, 260, 111, 263, 150, 302, 112, 264)(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, 393)(62, 358)(63, 391)(64, 360)(65, 361)(66, 383)(67, 382)(68, 364)(69, 386)(70, 381)(71, 378)(72, 380)(73, 392)(74, 377)(75, 376)(76, 388)(77, 387)(78, 385)(79, 374)(80, 397)(81, 373)(82, 384)(83, 395)(84, 394)(85, 379)(86, 401)(87, 375)(88, 390)(89, 389)(90, 399)(91, 398)(92, 405)(93, 396)(94, 403)(95, 402)(96, 409)(97, 400)(98, 407)(99, 406)(100, 413)(101, 404)(102, 411)(103, 410)(104, 454)(105, 408)(106, 416)(107, 415)(108, 456)(109, 412)(110, 366)(111, 453)(112, 455)(113, 369)(114, 451)(115, 423)(116, 424)(117, 427)(118, 428)(119, 431)(120, 372)(121, 419)(122, 420)(123, 417)(124, 436)(125, 421)(126, 422)(127, 414)(128, 425)(129, 426)(130, 429)(131, 430)(132, 368)(133, 432)(134, 433)(135, 434)(136, 435)(137, 437)(138, 438)(139, 439)(140, 440)(141, 441)(142, 442)(143, 443)(144, 444)(145, 445)(146, 446)(147, 447)(148, 448)(149, 449)(150, 418)(151, 450)(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) :: { ( 4, 152 ), ( 4, 152, 4, 152, 4, 152, 4, 152 ) }
Outer automorphisms :: reflexible
Dual of E19.2189
Graph:: simple bipartite
	v = 190 e = 304 f = 78
	degree seq :: [ 2^152, 8^38 ]

E19.2191 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 40})
Quotient :: regular
Aut^+ = (C40 x C2) : C2 (small group id <160, 28>)
Aut   = $<320, 359>$ (small group id <320, 359>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^40 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 101, 118, 122, 126, 131, 136, 142, 160, 159, 158, 153, 150, 144, 106, 100, 95, 92, 87, 84, 77, 74, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 105, 113, 116, 120, 124, 128, 133, 138, 146, 155, 152, 147, 139, 135, 97, 104, 89, 94, 80, 86, 71, 78, 69, 62, 55, 46, 39, 30, 22, 12, 8)(6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 107, 112, 115, 119, 123, 127, 132, 137, 145, 156, 151, 148, 140, 102, 130, 93, 98, 85, 90, 75, 82, 70, 81, 63, 54, 47, 38, 31, 21, 14)(16, 23, 17, 24, 32, 40, 48, 56, 64, 103, 109, 110, 111, 114, 117, 121, 125, 129, 134, 141, 157, 154, 149, 143, 108, 99, 96, 91, 88, 83, 79, 72, 76, 73, 66, 58, 50, 42, 34, 26)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 81)(63, 103)(67, 73)(68, 107)(69, 109)(70, 110)(71, 111)(72, 112)(74, 113)(75, 114)(76, 105)(77, 115)(78, 101)(79, 116)(80, 117)(82, 118)(83, 119)(84, 120)(85, 121)(86, 122)(87, 123)(88, 124)(89, 125)(90, 126)(91, 127)(92, 128)(93, 129)(94, 131)(95, 132)(96, 133)(97, 134)(98, 136)(99, 137)(100, 138)(102, 141)(104, 142)(106, 145)(108, 146)(130, 160)(135, 159)(139, 157)(140, 158)(143, 156)(144, 155)(147, 153)(148, 154)(149, 152)(150, 151)
	local type(s) :: { ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E19.2192
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 80 f = 40
	degree seq :: [ 40^4 ]

E19.2192 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 40})
Quotient :: regular
Aut^+ = (C40 x C2) : C2 (small group id <160, 28>)
Aut   = $<320, 359>$ (small group id <320, 359>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, (T1 * T2)^40 ]
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, 39, 38, 42)(40, 59, 41, 57)(43, 67, 44, 61)(45, 65, 46, 63)(47, 71, 48, 69)(49, 75, 50, 73)(51, 79, 52, 77)(53, 83, 54, 81)(55, 87, 56, 85)(58, 91, 60, 89)(62, 95, 68, 93)(64, 97, 66, 98)(70, 101, 72, 102)(74, 104, 76, 105)(78, 109, 80, 110)(82, 113, 84, 114)(86, 117, 88, 118)(90, 121, 92, 122)(94, 125, 96, 126)(99, 129, 100, 130)(103, 133, 108, 134)(106, 138, 107, 137)(111, 142, 112, 141)(115, 145, 116, 144)(119, 150, 120, 149)(123, 154, 124, 153)(127, 158, 128, 157)(131, 160, 132, 159)(135, 156, 136, 155)(139, 151, 140, 152)(143, 146, 148, 147)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 13)(8, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 37)(34, 38)(35, 57)(36, 59)(39, 61)(40, 63)(41, 65)(42, 67)(43, 69)(44, 71)(45, 73)(46, 75)(47, 77)(48, 79)(49, 81)(50, 83)(51, 85)(52, 87)(53, 89)(54, 91)(55, 93)(56, 95)(58, 98)(60, 97)(62, 102)(64, 105)(66, 104)(68, 101)(70, 110)(72, 109)(74, 114)(76, 113)(78, 118)(80, 117)(82, 122)(84, 121)(86, 126)(88, 125)(90, 130)(92, 129)(94, 134)(96, 133)(99, 137)(100, 138)(103, 141)(106, 144)(107, 145)(108, 142)(111, 149)(112, 150)(115, 153)(116, 154)(119, 157)(120, 158)(123, 159)(124, 160)(127, 155)(128, 156)(131, 152)(132, 151)(135, 147)(136, 146)(139, 143)(140, 148)
	local type(s) :: { ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2191
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 40 e = 80 f = 4
	degree seq :: [ 4^40 ]

E19.2193 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 40})
Quotient :: edge
Aut^+ = (C40 x C2) : C2 (small group id <160, 28>)
Aut   = $<320, 359>$ (small group id <320, 359>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^40 ]
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, 39, 36, 44)(40, 59, 41, 57)(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, 95, 72, 93)(64, 97, 66, 98)(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, 133, 112, 134)(106, 138, 107, 137)(110, 142, 111, 141)(115, 145, 116, 144)(119, 149, 120, 148)(123, 154, 124, 153)(127, 158, 128, 157)(131, 160, 132, 159)(135, 156, 136, 155)(139, 150, 140, 151)(143, 146, 152, 147)(161, 162)(163, 167)(164, 169)(165, 170)(166, 172)(168, 171)(173, 177)(174, 178)(175, 179)(176, 180)(181, 185)(182, 186)(183, 187)(184, 188)(189, 193)(190, 194)(191, 195)(192, 196)(197, 217)(198, 219)(199, 221)(200, 223)(201, 225)(202, 227)(203, 230)(204, 228)(205, 233)(206, 235)(207, 237)(208, 239)(209, 241)(210, 243)(211, 245)(212, 247)(213, 249)(214, 251)(215, 253)(216, 255)(218, 258)(220, 257)(222, 262)(224, 265)(226, 264)(229, 269)(231, 268)(232, 261)(234, 274)(236, 273)(238, 278)(240, 277)(242, 282)(244, 281)(246, 286)(248, 285)(250, 290)(252, 289)(254, 294)(256, 293)(259, 297)(260, 298)(263, 301)(266, 304)(267, 305)(270, 308)(271, 309)(272, 302)(275, 313)(276, 314)(279, 317)(280, 318)(283, 319)(284, 320)(287, 315)(288, 316)(291, 311)(292, 310)(295, 307)(296, 306)(299, 303)(300, 312)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 80, 80 ), ( 80^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2197
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 160 f = 4
	degree seq :: [ 2^80, 4^40 ]

E19.2194 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 40})
Quotient :: edge
Aut^+ = (C40 x C2) : C2 (small group id <160, 28>)
Aut   = $<320, 359>$ (small group id <320, 359>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^40 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 88, 80, 73, 69, 71, 78, 86, 94, 101, 106, 111, 115, 121, 147, 139, 131, 124, 126, 136, 142, 152, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 99, 92, 84, 76, 70, 75, 83, 91, 98, 105, 110, 114, 119, 155, 151, 143, 135, 127, 125, 130, 140, 146, 158, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 100, 93, 85, 77, 72, 79, 87, 95, 102, 107, 112, 116, 122, 157, 153, 145, 137, 129, 123, 132, 138, 148, 120, 65, 57, 49, 41, 33, 25, 17, 9)(6, 13, 21, 29, 37, 45, 53, 61, 109, 104, 97, 90, 82, 74, 81, 89, 96, 103, 108, 113, 117, 160, 159, 154, 149, 141, 133, 128, 134, 144, 150, 156, 118, 62, 54, 46, 38, 30, 22, 14)(161, 162, 166, 164)(163, 169, 173, 168)(165, 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, 214, 211)(210, 217, 221, 216)(212, 219, 222, 215)(218, 224, 269, 225)(220, 223, 278, 227)(226, 280, 264, 318)(228, 260, 316, 259)(229, 283, 234, 285)(230, 286, 232, 288)(231, 287, 241, 289)(233, 290, 242, 292)(235, 293, 239, 284)(236, 294, 237, 296)(238, 297, 249, 295)(240, 298, 250, 300)(243, 291, 247, 301)(244, 302, 245, 304)(246, 303, 256, 305)(248, 306, 257, 308)(251, 309, 255, 299)(252, 310, 253, 312)(254, 313, 263, 311)(258, 307, 262, 314)(261, 315, 268, 317)(265, 319, 267, 281)(266, 282, 273, 279)(270, 275, 272, 320)(271, 274, 277, 276)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E19.2198
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 160 f = 80
	degree seq :: [ 4^40, 40^4 ]

E19.2195 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 40})
Quotient :: edge
Aut^+ = (C40 x C2) : C2 (small group id <160, 28>)
Aut   = $<320, 359>$ (small group id <320, 359>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^40 ]
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, 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, 152)(112, 154)(138, 160)(143, 157)(147, 156)(149, 158)(151, 159)(153, 155)(161, 162, 165, 171, 180, 189, 197, 205, 213, 221, 265, 273, 275, 278, 284, 289, 293, 297, 302, 308, 316, 313, 270, 264, 259, 256, 251, 248, 240, 236, 231, 228, 220, 212, 204, 196, 188, 179, 170, 164)(163, 167, 175, 185, 193, 201, 209, 217, 225, 269, 274, 276, 280, 287, 291, 295, 300, 305, 312, 319, 307, 303, 261, 268, 253, 258, 244, 250, 233, 242, 229, 241, 222, 215, 206, 199, 190, 182, 172, 168)(166, 173, 169, 178, 187, 195, 203, 211, 219, 227, 271, 279, 277, 283, 288, 292, 296, 301, 306, 314, 315, 309, 266, 298, 257, 262, 249, 254, 237, 246, 230, 245, 232, 223, 214, 207, 198, 191, 181, 174)(176, 183, 177, 184, 192, 200, 208, 216, 224, 267, 281, 285, 282, 286, 290, 294, 299, 304, 310, 320, 317, 318, 311, 272, 263, 260, 255, 252, 247, 243, 234, 238, 235, 239, 226, 218, 210, 202, 194, 186)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 8 ), ( 8^40 ) }
Outer automorphisms :: reflexible
Dual of E19.2196
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 160 f = 40
	degree seq :: [ 2^80, 40^4 ]

E19.2196 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 40})
Quotient :: loop
Aut^+ = (C40 x C2) : C2 (small group id <160, 28>)
Aut   = $<320, 359>$ (small group id <320, 359>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^40 ]
Map::
	R = (1, 161, 3, 163, 8, 168, 4, 164)(2, 162, 5, 165, 11, 171, 6, 166)(7, 167, 13, 173, 9, 169, 14, 174)(10, 170, 15, 175, 12, 172, 16, 176)(17, 177, 21, 181, 18, 178, 22, 182)(19, 179, 23, 183, 20, 180, 24, 184)(25, 185, 29, 189, 26, 186, 30, 190)(27, 187, 31, 191, 28, 188, 32, 192)(33, 193, 37, 197, 34, 194, 38, 198)(35, 195, 60, 220, 36, 196, 59, 219)(39, 199, 72, 232, 46, 206, 73, 233)(40, 200, 75, 235, 49, 209, 76, 236)(41, 201, 77, 237, 42, 202, 78, 238)(43, 203, 79, 239, 44, 204, 80, 240)(45, 205, 82, 242, 47, 207, 71, 231)(48, 208, 85, 245, 50, 210, 74, 234)(51, 211, 87, 247, 52, 212, 88, 248)(53, 213, 70, 230, 54, 214, 69, 229)(55, 215, 83, 243, 56, 216, 81, 241)(57, 217, 86, 246, 58, 218, 84, 244)(61, 221, 90, 250, 62, 222, 89, 249)(63, 223, 92, 252, 64, 224, 91, 251)(65, 225, 94, 254, 66, 226, 93, 253)(67, 227, 96, 256, 68, 228, 95, 255)(97, 257, 101, 261, 98, 258, 102, 262)(99, 259, 120, 280, 100, 260, 119, 279)(103, 263, 136, 296, 114, 274, 137, 297)(104, 264, 138, 298, 105, 265, 139, 299)(106, 266, 141, 301, 117, 277, 142, 302)(107, 267, 143, 303, 108, 268, 144, 304)(109, 269, 145, 305, 110, 270, 146, 306)(111, 271, 134, 294, 112, 272, 133, 293)(113, 273, 148, 308, 115, 275, 135, 295)(116, 276, 151, 311, 118, 278, 140, 300)(121, 281, 149, 309, 122, 282, 147, 307)(123, 283, 152, 312, 124, 284, 150, 310)(125, 285, 154, 314, 126, 286, 153, 313)(127, 287, 156, 316, 128, 288, 155, 315)(129, 289, 158, 318, 130, 290, 157, 317)(131, 291, 160, 320, 132, 292, 159, 319)
	L = (1, 162)(2, 161)(3, 167)(4, 169)(5, 170)(6, 172)(7, 163)(8, 171)(9, 164)(10, 165)(11, 168)(12, 166)(13, 177)(14, 178)(15, 179)(16, 180)(17, 173)(18, 174)(19, 175)(20, 176)(21, 185)(22, 186)(23, 187)(24, 188)(25, 181)(26, 182)(27, 183)(28, 184)(29, 193)(30, 194)(31, 195)(32, 196)(33, 189)(34, 190)(35, 191)(36, 192)(37, 229)(38, 230)(39, 231)(40, 234)(41, 235)(42, 236)(43, 232)(44, 233)(45, 241)(46, 242)(47, 243)(48, 244)(49, 245)(50, 246)(51, 237)(52, 238)(53, 239)(54, 240)(55, 249)(56, 250)(57, 251)(58, 252)(59, 247)(60, 248)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 197)(70, 198)(71, 199)(72, 203)(73, 204)(74, 200)(75, 201)(76, 202)(77, 211)(78, 212)(79, 213)(80, 214)(81, 205)(82, 206)(83, 207)(84, 208)(85, 209)(86, 210)(87, 219)(88, 220)(89, 215)(90, 216)(91, 217)(92, 218)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 300)(107, 301)(108, 302)(109, 303)(110, 304)(111, 298)(112, 299)(113, 307)(114, 308)(115, 309)(116, 310)(117, 311)(118, 312)(119, 305)(120, 306)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 291)(130, 292)(131, 289)(132, 290)(133, 261)(134, 262)(135, 263)(136, 264)(137, 265)(138, 271)(139, 272)(140, 266)(141, 267)(142, 268)(143, 269)(144, 270)(145, 279)(146, 280)(147, 273)(148, 274)(149, 275)(150, 276)(151, 277)(152, 278)(153, 281)(154, 282)(155, 283)(156, 284)(157, 285)(158, 286)(159, 287)(160, 288)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.2195
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 40 e = 160 f = 84
	degree seq :: [ 8^40 ]

E19.2197 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 40})
Quotient :: loop
Aut^+ = (C40 x C2) : C2 (small group id <160, 28>)
Aut   = $<320, 359>$ (small group id <320, 359>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^40 ]
Map::
	R = (1, 161, 3, 163, 10, 170, 18, 178, 26, 186, 34, 194, 42, 202, 50, 210, 58, 218, 66, 226, 106, 266, 126, 286, 132, 292, 142, 302, 148, 308, 158, 318, 153, 313, 145, 305, 137, 297, 129, 289, 121, 281, 115, 275, 109, 269, 112, 272, 102, 262, 97, 257, 93, 253, 89, 249, 85, 245, 81, 241, 77, 237, 68, 228, 60, 220, 52, 212, 44, 204, 36, 196, 28, 188, 20, 180, 12, 172, 5, 165)(2, 162, 7, 167, 15, 175, 23, 183, 31, 191, 39, 199, 47, 207, 55, 215, 63, 223, 103, 263, 116, 276, 120, 280, 130, 290, 136, 296, 146, 306, 152, 312, 157, 317, 149, 309, 141, 301, 133, 293, 125, 285, 117, 277, 111, 271, 105, 265, 99, 259, 95, 255, 91, 251, 87, 247, 83, 243, 79, 239, 75, 235, 72, 232, 64, 224, 56, 216, 48, 208, 40, 200, 32, 192, 24, 184, 16, 176, 8, 168)(4, 164, 11, 171, 19, 179, 27, 187, 35, 195, 43, 203, 51, 211, 59, 219, 67, 227, 107, 267, 114, 274, 122, 282, 128, 288, 138, 298, 144, 304, 154, 314, 159, 319, 151, 311, 143, 303, 135, 295, 127, 287, 119, 279, 113, 273, 104, 264, 98, 258, 94, 254, 90, 250, 86, 246, 82, 242, 78, 238, 74, 234, 70, 230, 65, 225, 57, 217, 49, 209, 41, 201, 33, 193, 25, 185, 17, 177, 9, 169)(6, 166, 13, 173, 21, 181, 29, 189, 37, 197, 45, 205, 53, 213, 61, 221, 101, 261, 110, 270, 118, 278, 124, 284, 134, 294, 140, 300, 150, 310, 156, 316, 160, 320, 155, 315, 147, 307, 139, 299, 131, 291, 123, 283, 108, 268, 100, 260, 96, 256, 92, 252, 88, 248, 84, 244, 80, 240, 76, 236, 73, 233, 69, 229, 71, 231, 62, 222, 54, 214, 46, 206, 38, 198, 30, 190, 22, 182, 14, 174)
	L = (1, 162)(2, 166)(3, 169)(4, 161)(5, 171)(6, 164)(7, 165)(8, 163)(9, 173)(10, 176)(11, 174)(12, 175)(13, 168)(14, 167)(15, 182)(16, 181)(17, 170)(18, 185)(19, 172)(20, 187)(21, 177)(22, 179)(23, 180)(24, 178)(25, 189)(26, 192)(27, 190)(28, 191)(29, 184)(30, 183)(31, 198)(32, 197)(33, 186)(34, 201)(35, 188)(36, 203)(37, 193)(38, 195)(39, 196)(40, 194)(41, 205)(42, 208)(43, 206)(44, 207)(45, 200)(46, 199)(47, 214)(48, 213)(49, 202)(50, 217)(51, 204)(52, 219)(53, 209)(54, 211)(55, 212)(56, 210)(57, 221)(58, 224)(59, 222)(60, 223)(61, 216)(62, 215)(63, 231)(64, 261)(65, 218)(66, 230)(67, 220)(68, 267)(69, 263)(70, 270)(71, 227)(72, 226)(73, 274)(74, 266)(75, 278)(76, 280)(77, 276)(78, 284)(79, 286)(80, 288)(81, 282)(82, 292)(83, 294)(84, 296)(85, 290)(86, 300)(87, 302)(88, 304)(89, 298)(90, 308)(91, 310)(92, 312)(93, 306)(94, 316)(95, 318)(96, 319)(97, 314)(98, 313)(99, 320)(100, 309)(101, 225)(102, 317)(103, 228)(104, 315)(105, 305)(106, 235)(107, 229)(108, 303)(109, 301)(110, 232)(111, 307)(112, 311)(113, 297)(114, 237)(115, 295)(116, 233)(117, 289)(118, 234)(119, 299)(120, 241)(121, 285)(122, 236)(123, 293)(124, 239)(125, 291)(126, 238)(127, 281)(128, 245)(129, 279)(130, 240)(131, 287)(132, 243)(133, 275)(134, 242)(135, 283)(136, 249)(137, 271)(138, 244)(139, 277)(140, 247)(141, 268)(142, 246)(143, 269)(144, 253)(145, 264)(146, 248)(147, 273)(148, 251)(149, 272)(150, 250)(151, 260)(152, 257)(153, 259)(154, 252)(155, 265)(156, 255)(157, 256)(158, 254)(159, 262)(160, 258)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.2193
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 160 f = 120
	degree seq :: [ 80^4 ]

E19.2198 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 40})
Quotient :: loop
Aut^+ = (C40 x C2) : C2 (small group id <160, 28>)
Aut   = $<320, 359>$ (small group id <320, 359>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^40 ]
Map:: polytopal non-degenerate
	R = (1, 161, 3, 163)(2, 162, 6, 166)(4, 164, 9, 169)(5, 165, 12, 172)(7, 167, 16, 176)(8, 168, 17, 177)(10, 170, 15, 175)(11, 171, 21, 181)(13, 173, 23, 183)(14, 174, 24, 184)(18, 178, 26, 186)(19, 179, 27, 187)(20, 180, 30, 190)(22, 182, 32, 192)(25, 185, 34, 194)(28, 188, 33, 193)(29, 189, 38, 198)(31, 191, 40, 200)(35, 195, 42, 202)(36, 196, 43, 203)(37, 197, 46, 206)(39, 199, 48, 208)(41, 201, 50, 210)(44, 204, 49, 209)(45, 205, 54, 214)(47, 207, 56, 216)(51, 211, 58, 218)(52, 212, 59, 219)(53, 213, 62, 222)(55, 215, 64, 224)(57, 217, 66, 226)(60, 220, 65, 225)(61, 221, 117, 277)(63, 223, 106, 266)(67, 227, 121, 281)(68, 228, 105, 265)(69, 229, 123, 283)(70, 230, 124, 284)(71, 231, 125, 285)(72, 232, 126, 286)(73, 233, 127, 287)(74, 234, 128, 288)(75, 235, 129, 289)(76, 236, 130, 290)(77, 237, 131, 291)(78, 238, 132, 292)(79, 239, 133, 293)(80, 240, 134, 294)(81, 241, 135, 295)(82, 242, 136, 296)(83, 243, 137, 297)(84, 244, 138, 298)(85, 245, 139, 299)(86, 246, 140, 300)(87, 247, 141, 301)(88, 248, 142, 302)(89, 249, 143, 303)(90, 250, 144, 304)(91, 251, 145, 305)(92, 252, 146, 306)(93, 253, 147, 307)(94, 254, 148, 308)(95, 255, 149, 309)(96, 256, 150, 310)(97, 257, 151, 311)(98, 258, 152, 312)(99, 259, 153, 313)(100, 260, 154, 314)(101, 261, 155, 315)(102, 262, 156, 316)(103, 263, 157, 317)(104, 264, 122, 282)(107, 267, 158, 318)(108, 268, 119, 279)(109, 269, 159, 319)(110, 270, 116, 276)(111, 271, 160, 320)(112, 272, 114, 274)(113, 273, 120, 280)(115, 275, 118, 278)
	L = (1, 162)(2, 165)(3, 167)(4, 161)(5, 171)(6, 173)(7, 175)(8, 163)(9, 178)(10, 164)(11, 180)(12, 168)(13, 169)(14, 166)(15, 185)(16, 183)(17, 184)(18, 187)(19, 170)(20, 189)(21, 174)(22, 172)(23, 177)(24, 192)(25, 193)(26, 176)(27, 195)(28, 179)(29, 197)(30, 182)(31, 181)(32, 200)(33, 201)(34, 186)(35, 203)(36, 188)(37, 205)(38, 191)(39, 190)(40, 208)(41, 209)(42, 194)(43, 211)(44, 196)(45, 213)(46, 199)(47, 198)(48, 216)(49, 217)(50, 202)(51, 219)(52, 204)(53, 221)(54, 207)(55, 206)(56, 224)(57, 225)(58, 210)(59, 227)(60, 212)(61, 255)(62, 215)(63, 214)(64, 266)(65, 248)(66, 218)(67, 265)(68, 220)(69, 244)(70, 251)(71, 234)(72, 254)(73, 245)(74, 240)(75, 241)(76, 242)(77, 231)(78, 260)(79, 252)(80, 249)(81, 236)(82, 250)(83, 237)(84, 238)(85, 229)(86, 235)(87, 267)(88, 259)(89, 257)(90, 258)(91, 232)(92, 230)(93, 246)(94, 247)(95, 243)(96, 271)(97, 263)(98, 264)(99, 233)(100, 256)(101, 253)(102, 275)(103, 269)(104, 270)(105, 239)(106, 261)(107, 262)(108, 280)(109, 273)(110, 274)(111, 268)(112, 319)(113, 278)(114, 279)(115, 272)(116, 317)(117, 223)(118, 320)(119, 316)(120, 276)(121, 226)(122, 311)(123, 284)(124, 287)(125, 289)(126, 283)(127, 293)(128, 295)(129, 297)(130, 285)(131, 300)(132, 286)(133, 302)(134, 290)(135, 291)(136, 288)(137, 307)(138, 305)(139, 306)(140, 309)(141, 292)(142, 281)(143, 296)(144, 294)(145, 299)(146, 313)(147, 277)(148, 298)(149, 315)(150, 301)(151, 304)(152, 303)(153, 228)(154, 308)(155, 222)(156, 310)(157, 312)(158, 314)(159, 282)(160, 318)
	local type(s) :: { ( 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.2194
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 80 e = 160 f = 44
	degree seq :: [ 4^80 ]

E19.2199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = (C40 x C2) : C2 (small group id <160, 28>)
Aut   = $<320, 359>$ (small group id <320, 359>)
|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)^40 ]
Map::
	R = (1, 161, 2, 162)(3, 163, 7, 167)(4, 164, 9, 169)(5, 165, 10, 170)(6, 166, 12, 172)(8, 168, 11, 171)(13, 173, 17, 177)(14, 174, 18, 178)(15, 175, 19, 179)(16, 176, 20, 180)(21, 181, 25, 185)(22, 182, 26, 186)(23, 183, 27, 187)(24, 184, 28, 188)(29, 189, 33, 193)(30, 190, 34, 194)(31, 191, 35, 195)(32, 192, 36, 196)(37, 197, 57, 217)(38, 198, 59, 219)(39, 199, 61, 221)(40, 200, 63, 223)(41, 201, 65, 225)(42, 202, 67, 227)(43, 203, 70, 230)(44, 204, 68, 228)(45, 205, 73, 233)(46, 206, 75, 235)(47, 207, 77, 237)(48, 208, 79, 239)(49, 209, 81, 241)(50, 210, 83, 243)(51, 211, 85, 245)(52, 212, 87, 247)(53, 213, 89, 249)(54, 214, 91, 251)(55, 215, 93, 253)(56, 216, 95, 255)(58, 218, 98, 258)(60, 220, 97, 257)(62, 222, 102, 262)(64, 224, 105, 265)(66, 226, 104, 264)(69, 229, 109, 269)(71, 231, 108, 268)(72, 232, 101, 261)(74, 234, 114, 274)(76, 236, 113, 273)(78, 238, 118, 278)(80, 240, 117, 277)(82, 242, 122, 282)(84, 244, 121, 281)(86, 246, 126, 286)(88, 248, 125, 285)(90, 250, 130, 290)(92, 252, 129, 289)(94, 254, 134, 294)(96, 256, 133, 293)(99, 259, 137, 297)(100, 260, 138, 298)(103, 263, 141, 301)(106, 266, 144, 304)(107, 267, 145, 305)(110, 270, 148, 308)(111, 271, 149, 309)(112, 272, 142, 302)(115, 275, 153, 313)(116, 276, 154, 314)(119, 279, 157, 317)(120, 280, 158, 318)(123, 283, 160, 320)(124, 284, 159, 319)(127, 287, 156, 316)(128, 288, 155, 315)(131, 291, 150, 310)(132, 292, 151, 311)(135, 295, 146, 306)(136, 296, 147, 307)(139, 299, 152, 312)(140, 300, 143, 303)(321, 481, 323, 483, 328, 488, 324, 484)(322, 482, 325, 485, 331, 491, 326, 486)(327, 487, 333, 493, 329, 489, 334, 494)(330, 490, 335, 495, 332, 492, 336, 496)(337, 497, 341, 501, 338, 498, 342, 502)(339, 499, 343, 503, 340, 500, 344, 504)(345, 505, 349, 509, 346, 506, 350, 510)(347, 507, 351, 511, 348, 508, 352, 512)(353, 513, 357, 517, 354, 514, 358, 518)(355, 515, 364, 524, 356, 516, 359, 519)(360, 520, 377, 537, 361, 521, 379, 539)(362, 522, 388, 548, 363, 523, 381, 541)(365, 525, 385, 545, 366, 526, 383, 543)(367, 527, 390, 550, 368, 528, 387, 547)(369, 529, 395, 555, 370, 530, 393, 553)(371, 531, 399, 559, 372, 532, 397, 557)(373, 533, 403, 563, 374, 534, 401, 561)(375, 535, 407, 567, 376, 536, 405, 565)(378, 538, 411, 571, 380, 540, 409, 569)(382, 542, 413, 573, 392, 552, 415, 575)(384, 544, 418, 578, 386, 546, 417, 577)(389, 549, 421, 581, 391, 551, 422, 582)(394, 554, 424, 584, 396, 556, 425, 585)(398, 558, 428, 588, 400, 560, 429, 589)(402, 562, 433, 593, 404, 564, 434, 594)(406, 566, 437, 597, 408, 568, 438, 598)(410, 570, 441, 601, 412, 572, 442, 602)(414, 574, 445, 605, 416, 576, 446, 606)(419, 579, 449, 609, 420, 580, 450, 610)(423, 583, 454, 614, 432, 592, 453, 613)(426, 586, 457, 617, 427, 587, 458, 618)(430, 590, 462, 622, 431, 591, 461, 621)(435, 595, 465, 625, 436, 596, 464, 624)(439, 599, 469, 629, 440, 600, 468, 628)(443, 603, 474, 634, 444, 604, 473, 633)(447, 607, 478, 638, 448, 608, 477, 637)(451, 611, 479, 639, 452, 612, 480, 640)(455, 615, 475, 635, 456, 616, 476, 636)(459, 619, 471, 631, 460, 620, 470, 630)(463, 623, 466, 626, 472, 632, 467, 627)
	L = (1, 322)(2, 321)(3, 327)(4, 329)(5, 330)(6, 332)(7, 323)(8, 331)(9, 324)(10, 325)(11, 328)(12, 326)(13, 337)(14, 338)(15, 339)(16, 340)(17, 333)(18, 334)(19, 335)(20, 336)(21, 345)(22, 346)(23, 347)(24, 348)(25, 341)(26, 342)(27, 343)(28, 344)(29, 353)(30, 354)(31, 355)(32, 356)(33, 349)(34, 350)(35, 351)(36, 352)(37, 377)(38, 379)(39, 381)(40, 383)(41, 385)(42, 387)(43, 390)(44, 388)(45, 393)(46, 395)(47, 397)(48, 399)(49, 401)(50, 403)(51, 405)(52, 407)(53, 409)(54, 411)(55, 413)(56, 415)(57, 357)(58, 418)(59, 358)(60, 417)(61, 359)(62, 422)(63, 360)(64, 425)(65, 361)(66, 424)(67, 362)(68, 364)(69, 429)(70, 363)(71, 428)(72, 421)(73, 365)(74, 434)(75, 366)(76, 433)(77, 367)(78, 438)(79, 368)(80, 437)(81, 369)(82, 442)(83, 370)(84, 441)(85, 371)(86, 446)(87, 372)(88, 445)(89, 373)(90, 450)(91, 374)(92, 449)(93, 375)(94, 454)(95, 376)(96, 453)(97, 380)(98, 378)(99, 457)(100, 458)(101, 392)(102, 382)(103, 461)(104, 386)(105, 384)(106, 464)(107, 465)(108, 391)(109, 389)(110, 468)(111, 469)(112, 462)(113, 396)(114, 394)(115, 473)(116, 474)(117, 400)(118, 398)(119, 477)(120, 478)(121, 404)(122, 402)(123, 480)(124, 479)(125, 408)(126, 406)(127, 476)(128, 475)(129, 412)(130, 410)(131, 470)(132, 471)(133, 416)(134, 414)(135, 466)(136, 467)(137, 419)(138, 420)(139, 472)(140, 463)(141, 423)(142, 432)(143, 460)(144, 426)(145, 427)(146, 455)(147, 456)(148, 430)(149, 431)(150, 451)(151, 452)(152, 459)(153, 435)(154, 436)(155, 448)(156, 447)(157, 439)(158, 440)(159, 444)(160, 443)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 2, 80, 2, 80 ), ( 2, 80, 2, 80, 2, 80, 2, 80 ) }
Outer automorphisms :: reflexible
Dual of E19.2202
Graph:: bipartite
	v = 120 e = 320 f = 164
	degree seq :: [ 4^80, 8^40 ]

E19.2200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = (C40 x C2) : C2 (small group id <160, 28>)
Aut   = $<320, 359>$ (small group id <320, 359>)
|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, Y2^40 ]
Map::
	R = (1, 161, 2, 162, 6, 166, 4, 164)(3, 163, 9, 169, 13, 173, 8, 168)(5, 165, 11, 171, 14, 174, 7, 167)(10, 170, 16, 176, 21, 181, 17, 177)(12, 172, 15, 175, 22, 182, 19, 179)(18, 178, 25, 185, 29, 189, 24, 184)(20, 180, 27, 187, 30, 190, 23, 183)(26, 186, 32, 192, 37, 197, 33, 193)(28, 188, 31, 191, 38, 198, 35, 195)(34, 194, 41, 201, 45, 205, 40, 200)(36, 196, 43, 203, 46, 206, 39, 199)(42, 202, 48, 208, 53, 213, 49, 209)(44, 204, 47, 207, 54, 214, 51, 211)(50, 210, 57, 217, 61, 221, 56, 216)(52, 212, 59, 219, 62, 222, 55, 215)(58, 218, 64, 224, 101, 261, 65, 225)(60, 220, 63, 223, 74, 234, 67, 227)(66, 226, 72, 232, 109, 269, 69, 229)(68, 228, 107, 267, 70, 230, 103, 263)(71, 231, 105, 265, 77, 237, 110, 270)(73, 233, 111, 271, 76, 236, 112, 272)(75, 235, 113, 273, 81, 241, 114, 274)(78, 238, 115, 275, 80, 240, 116, 276)(79, 239, 117, 277, 85, 245, 118, 278)(82, 242, 119, 279, 84, 244, 120, 280)(83, 243, 121, 281, 89, 249, 122, 282)(86, 246, 123, 283, 88, 248, 124, 284)(87, 247, 125, 285, 93, 253, 126, 286)(90, 250, 127, 287, 92, 252, 128, 288)(91, 251, 129, 289, 97, 257, 130, 290)(94, 254, 131, 291, 96, 256, 132, 292)(95, 255, 133, 293, 102, 262, 134, 294)(98, 258, 136, 296, 100, 260, 137, 297)(99, 259, 138, 298, 135, 295, 139, 299)(104, 264, 142, 302, 108, 268, 143, 303)(106, 266, 146, 306, 140, 300, 147, 307)(141, 301, 160, 320, 144, 304, 159, 319)(145, 305, 158, 318, 148, 308, 157, 317)(149, 309, 155, 315, 150, 310, 156, 316)(151, 311, 153, 313, 152, 312, 154, 314)(321, 481, 323, 483, 330, 490, 338, 498, 346, 506, 354, 514, 362, 522, 370, 530, 378, 538, 386, 546, 425, 585, 433, 593, 437, 597, 441, 601, 445, 605, 449, 609, 453, 613, 458, 618, 466, 626, 478, 638, 473, 633, 470, 630, 461, 621, 428, 588, 418, 578, 416, 576, 410, 570, 408, 568, 402, 562, 400, 560, 393, 553, 388, 548, 380, 540, 372, 532, 364, 524, 356, 516, 348, 508, 340, 500, 332, 492, 325, 485)(322, 482, 327, 487, 335, 495, 343, 503, 351, 511, 359, 519, 367, 527, 375, 535, 383, 543, 423, 583, 431, 591, 435, 595, 439, 599, 443, 603, 447, 607, 451, 611, 456, 616, 462, 622, 480, 640, 475, 635, 472, 632, 465, 625, 460, 620, 419, 579, 422, 582, 411, 571, 413, 573, 403, 563, 405, 565, 395, 555, 397, 557, 389, 549, 384, 544, 376, 536, 368, 528, 360, 520, 352, 512, 344, 504, 336, 496, 328, 488)(324, 484, 331, 491, 339, 499, 347, 507, 355, 515, 363, 523, 371, 531, 379, 539, 387, 547, 427, 587, 432, 592, 436, 596, 440, 600, 444, 604, 448, 608, 452, 612, 457, 617, 463, 623, 479, 639, 476, 636, 471, 631, 468, 628, 426, 586, 455, 615, 415, 575, 417, 577, 407, 567, 409, 569, 399, 559, 401, 561, 391, 551, 392, 552, 385, 545, 377, 537, 369, 529, 361, 521, 353, 513, 345, 505, 337, 497, 329, 489)(326, 486, 333, 493, 341, 501, 349, 509, 357, 517, 365, 525, 373, 533, 381, 541, 421, 581, 429, 589, 430, 590, 434, 594, 438, 598, 442, 602, 446, 606, 450, 610, 454, 614, 459, 619, 467, 627, 477, 637, 474, 634, 469, 629, 464, 624, 424, 584, 420, 580, 414, 574, 412, 572, 406, 566, 404, 564, 398, 558, 396, 556, 390, 550, 394, 554, 382, 542, 374, 534, 366, 526, 358, 518, 350, 510, 342, 502, 334, 494)
	L = (1, 323)(2, 327)(3, 330)(4, 331)(5, 321)(6, 333)(7, 335)(8, 322)(9, 324)(10, 338)(11, 339)(12, 325)(13, 341)(14, 326)(15, 343)(16, 328)(17, 329)(18, 346)(19, 347)(20, 332)(21, 349)(22, 334)(23, 351)(24, 336)(25, 337)(26, 354)(27, 355)(28, 340)(29, 357)(30, 342)(31, 359)(32, 344)(33, 345)(34, 362)(35, 363)(36, 348)(37, 365)(38, 350)(39, 367)(40, 352)(41, 353)(42, 370)(43, 371)(44, 356)(45, 373)(46, 358)(47, 375)(48, 360)(49, 361)(50, 378)(51, 379)(52, 364)(53, 381)(54, 366)(55, 383)(56, 368)(57, 369)(58, 386)(59, 387)(60, 372)(61, 421)(62, 374)(63, 423)(64, 376)(65, 377)(66, 425)(67, 427)(68, 380)(69, 384)(70, 394)(71, 392)(72, 385)(73, 388)(74, 382)(75, 397)(76, 390)(77, 389)(78, 396)(79, 401)(80, 393)(81, 391)(82, 400)(83, 405)(84, 398)(85, 395)(86, 404)(87, 409)(88, 402)(89, 399)(90, 408)(91, 413)(92, 406)(93, 403)(94, 412)(95, 417)(96, 410)(97, 407)(98, 416)(99, 422)(100, 414)(101, 429)(102, 411)(103, 431)(104, 420)(105, 433)(106, 455)(107, 432)(108, 418)(109, 430)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 456)(132, 457)(133, 458)(134, 459)(135, 415)(136, 462)(137, 463)(138, 466)(139, 467)(140, 419)(141, 428)(142, 480)(143, 479)(144, 424)(145, 460)(146, 478)(147, 477)(148, 426)(149, 464)(150, 461)(151, 468)(152, 465)(153, 470)(154, 469)(155, 472)(156, 471)(157, 474)(158, 473)(159, 476)(160, 475)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E19.2201
Graph:: bipartite
	v = 44 e = 320 f = 240
	degree seq :: [ 8^40, 80^4 ]

E19.2201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = (C40 x C2) : C2 (small group id <160, 28>)
Aut   = $<320, 359>$ (small group id <320, 359>)
|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, Y3^18 * Y2 * Y3^-22 * Y2, (Y3^-1 * Y1^-1)^40 ]
Map:: polytopal
	R = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)(321, 481, 322, 482)(323, 483, 327, 487)(324, 484, 329, 489)(325, 485, 331, 491)(326, 486, 333, 493)(328, 488, 334, 494)(330, 490, 332, 492)(335, 495, 340, 500)(336, 496, 343, 503)(337, 497, 345, 505)(338, 498, 341, 501)(339, 499, 347, 507)(342, 502, 349, 509)(344, 504, 351, 511)(346, 506, 352, 512)(348, 508, 350, 510)(353, 513, 359, 519)(354, 514, 361, 521)(355, 515, 357, 517)(356, 516, 363, 523)(358, 518, 365, 525)(360, 520, 367, 527)(362, 522, 368, 528)(364, 524, 366, 526)(369, 529, 375, 535)(370, 530, 377, 537)(371, 531, 373, 533)(372, 532, 379, 539)(374, 534, 381, 541)(376, 536, 383, 543)(378, 538, 384, 544)(380, 540, 382, 542)(385, 545, 389, 549)(386, 546, 419, 579)(387, 547, 421, 581)(388, 548, 391, 551)(390, 550, 424, 584)(392, 552, 427, 587)(393, 553, 429, 589)(394, 554, 431, 591)(395, 555, 433, 593)(396, 556, 435, 595)(397, 557, 437, 597)(398, 558, 439, 599)(399, 559, 441, 601)(400, 560, 443, 603)(401, 561, 445, 605)(402, 562, 447, 607)(403, 563, 449, 609)(404, 564, 451, 611)(405, 565, 453, 613)(406, 566, 455, 615)(407, 567, 457, 617)(408, 568, 459, 619)(409, 569, 461, 621)(410, 570, 463, 623)(411, 571, 465, 625)(412, 572, 467, 627)(413, 573, 469, 629)(414, 574, 471, 631)(415, 575, 473, 633)(416, 576, 475, 635)(417, 577, 477, 637)(418, 578, 479, 639)(420, 580, 470, 630)(422, 582, 474, 634)(423, 583, 478, 638)(425, 585, 476, 636)(426, 586, 480, 640)(428, 588, 462, 622)(430, 590, 466, 626)(432, 592, 458, 618)(434, 594, 460, 620)(436, 596, 472, 632)(438, 598, 464, 624)(440, 600, 468, 628)(442, 602, 446, 606)(444, 604, 450, 610)(448, 608, 454, 614)(452, 612, 456, 616)
	L = (1, 323)(2, 325)(3, 328)(4, 321)(5, 332)(6, 322)(7, 335)(8, 337)(9, 338)(10, 324)(11, 340)(12, 342)(13, 343)(14, 326)(15, 329)(16, 327)(17, 346)(18, 347)(19, 330)(20, 333)(21, 331)(22, 350)(23, 351)(24, 334)(25, 336)(26, 354)(27, 355)(28, 339)(29, 341)(30, 358)(31, 359)(32, 344)(33, 345)(34, 362)(35, 363)(36, 348)(37, 349)(38, 366)(39, 367)(40, 352)(41, 353)(42, 370)(43, 371)(44, 356)(45, 357)(46, 374)(47, 375)(48, 360)(49, 361)(50, 378)(51, 379)(52, 364)(53, 365)(54, 382)(55, 383)(56, 368)(57, 369)(58, 386)(59, 387)(60, 372)(61, 373)(62, 393)(63, 389)(64, 376)(65, 377)(66, 398)(67, 391)(68, 380)(69, 390)(70, 392)(71, 394)(72, 395)(73, 396)(74, 397)(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, 420)(96, 422)(97, 430)(98, 423)(99, 385)(100, 440)(101, 381)(102, 426)(103, 425)(104, 384)(105, 428)(106, 432)(107, 419)(108, 434)(109, 421)(110, 436)(111, 429)(112, 438)(113, 439)(114, 442)(115, 388)(116, 444)(117, 435)(118, 446)(119, 424)(120, 448)(121, 447)(122, 450)(123, 431)(124, 452)(125, 443)(126, 454)(127, 427)(128, 456)(129, 455)(130, 458)(131, 437)(132, 460)(133, 451)(134, 462)(135, 433)(136, 464)(137, 463)(138, 466)(139, 445)(140, 468)(141, 459)(142, 470)(143, 441)(144, 472)(145, 471)(146, 474)(147, 453)(148, 476)(149, 467)(150, 478)(151, 449)(152, 480)(153, 479)(154, 469)(155, 461)(156, 473)(157, 475)(158, 465)(159, 457)(160, 477)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 8, 80 ), ( 8, 80, 8, 80 ) }
Outer automorphisms :: reflexible
Dual of E19.2200
Graph:: simple bipartite
	v = 240 e = 320 f = 44
	degree seq :: [ 2^160, 4^80 ]

E19.2202 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = (C40 x C2) : C2 (small group id <160, 28>)
Aut   = $<320, 359>$ (small group id <320, 359>)
|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, Y1^40 ]
Map:: polytopal
	R = (1, 161, 2, 162, 5, 165, 11, 171, 20, 180, 29, 189, 37, 197, 45, 205, 53, 213, 61, 221, 75, 235, 80, 240, 76, 236, 81, 241, 87, 247, 94, 254, 98, 258, 102, 262, 106, 266, 111, 271, 156, 316, 154, 314, 149, 309, 144, 304, 140, 300, 136, 296, 130, 290, 123, 283, 118, 278, 115, 275, 116, 276, 68, 228, 60, 220, 52, 212, 44, 204, 36, 196, 28, 188, 19, 179, 10, 170, 4, 164)(3, 163, 7, 167, 15, 175, 25, 185, 33, 193, 41, 201, 49, 209, 57, 217, 65, 225, 89, 249, 70, 230, 88, 248, 72, 232, 90, 250, 85, 245, 99, 259, 96, 256, 107, 267, 104, 264, 148, 308, 114, 274, 157, 317, 151, 311, 145, 305, 142, 302, 137, 297, 132, 292, 124, 284, 121, 281, 117, 277, 120, 280, 127, 287, 62, 222, 55, 215, 46, 206, 39, 199, 30, 190, 22, 182, 12, 172, 8, 168)(6, 166, 13, 173, 9, 169, 18, 178, 27, 187, 35, 195, 43, 203, 51, 211, 59, 219, 67, 227, 73, 233, 84, 244, 69, 229, 83, 243, 78, 238, 95, 255, 92, 252, 103, 263, 100, 260, 112, 272, 108, 268, 153, 313, 158, 318, 150, 310, 146, 306, 141, 301, 138, 298, 131, 291, 126, 286, 119, 279, 125, 285, 122, 282, 109, 269, 63, 223, 54, 214, 47, 207, 38, 198, 31, 191, 21, 181, 14, 174)(16, 176, 23, 183, 17, 177, 24, 184, 32, 192, 40, 200, 48, 208, 56, 216, 64, 224, 91, 251, 82, 242, 77, 237, 71, 231, 74, 234, 79, 239, 86, 246, 93, 253, 97, 257, 101, 261, 105, 265, 110, 270, 155, 315, 160, 320, 159, 319, 152, 312, 147, 307, 143, 303, 139, 299, 135, 295, 128, 288, 133, 293, 129, 289, 134, 294, 113, 273, 66, 226, 58, 218, 50, 210, 42, 202, 34, 194, 26, 186)(321, 481)(322, 482)(323, 483)(324, 484)(325, 485)(326, 486)(327, 487)(328, 488)(329, 489)(330, 490)(331, 491)(332, 492)(333, 493)(334, 494)(335, 495)(336, 496)(337, 497)(338, 498)(339, 499)(340, 500)(341, 501)(342, 502)(343, 503)(344, 504)(345, 505)(346, 506)(347, 507)(348, 508)(349, 509)(350, 510)(351, 511)(352, 512)(353, 513)(354, 514)(355, 515)(356, 516)(357, 517)(358, 518)(359, 519)(360, 520)(361, 521)(362, 522)(363, 523)(364, 524)(365, 525)(366, 526)(367, 527)(368, 528)(369, 529)(370, 530)(371, 531)(372, 532)(373, 533)(374, 534)(375, 535)(376, 536)(377, 537)(378, 538)(379, 539)(380, 540)(381, 541)(382, 542)(383, 543)(384, 544)(385, 545)(386, 546)(387, 547)(388, 548)(389, 549)(390, 550)(391, 551)(392, 552)(393, 553)(394, 554)(395, 555)(396, 556)(397, 557)(398, 558)(399, 559)(400, 560)(401, 561)(402, 562)(403, 563)(404, 564)(405, 565)(406, 566)(407, 567)(408, 568)(409, 569)(410, 570)(411, 571)(412, 572)(413, 573)(414, 574)(415, 575)(416, 576)(417, 577)(418, 578)(419, 579)(420, 580)(421, 581)(422, 582)(423, 583)(424, 584)(425, 585)(426, 586)(427, 587)(428, 588)(429, 589)(430, 590)(431, 591)(432, 592)(433, 593)(434, 594)(435, 595)(436, 596)(437, 597)(438, 598)(439, 599)(440, 600)(441, 601)(442, 602)(443, 603)(444, 604)(445, 605)(446, 606)(447, 607)(448, 608)(449, 609)(450, 610)(451, 611)(452, 612)(453, 613)(454, 614)(455, 615)(456, 616)(457, 617)(458, 618)(459, 619)(460, 620)(461, 621)(462, 622)(463, 623)(464, 624)(465, 625)(466, 626)(467, 627)(468, 628)(469, 629)(470, 630)(471, 631)(472, 632)(473, 633)(474, 634)(475, 635)(476, 636)(477, 637)(478, 638)(479, 639)(480, 640)
	L = (1, 323)(2, 326)(3, 321)(4, 329)(5, 332)(6, 322)(7, 336)(8, 337)(9, 324)(10, 335)(11, 341)(12, 325)(13, 343)(14, 344)(15, 330)(16, 327)(17, 328)(18, 346)(19, 347)(20, 350)(21, 331)(22, 352)(23, 333)(24, 334)(25, 354)(26, 338)(27, 339)(28, 353)(29, 358)(30, 340)(31, 360)(32, 342)(33, 348)(34, 345)(35, 362)(36, 363)(37, 366)(38, 349)(39, 368)(40, 351)(41, 370)(42, 355)(43, 356)(44, 369)(45, 374)(46, 357)(47, 376)(48, 359)(49, 364)(50, 361)(51, 378)(52, 379)(53, 382)(54, 365)(55, 384)(56, 367)(57, 386)(58, 371)(59, 372)(60, 385)(61, 429)(62, 373)(63, 411)(64, 375)(65, 380)(66, 377)(67, 433)(68, 393)(69, 435)(70, 436)(71, 437)(72, 438)(73, 388)(74, 439)(75, 440)(76, 441)(77, 442)(78, 443)(79, 444)(80, 445)(81, 446)(82, 447)(83, 448)(84, 449)(85, 450)(86, 451)(87, 452)(88, 453)(89, 454)(90, 455)(91, 383)(92, 456)(93, 457)(94, 458)(95, 459)(96, 460)(97, 461)(98, 462)(99, 463)(100, 464)(101, 465)(102, 466)(103, 467)(104, 469)(105, 470)(106, 471)(107, 472)(108, 474)(109, 381)(110, 477)(111, 478)(112, 479)(113, 387)(114, 476)(115, 389)(116, 390)(117, 391)(118, 392)(119, 394)(120, 395)(121, 396)(122, 397)(123, 398)(124, 399)(125, 400)(126, 401)(127, 402)(128, 403)(129, 404)(130, 405)(131, 406)(132, 407)(133, 408)(134, 409)(135, 410)(136, 412)(137, 413)(138, 414)(139, 415)(140, 416)(141, 417)(142, 418)(143, 419)(144, 420)(145, 421)(146, 422)(147, 423)(148, 480)(149, 424)(150, 425)(151, 426)(152, 427)(153, 475)(154, 428)(155, 473)(156, 434)(157, 430)(158, 431)(159, 432)(160, 468)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E19.2199
Graph:: simple bipartite
	v = 164 e = 320 f = 120
	degree seq :: [ 2^160, 80^4 ]

E19.2203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = (C40 x C2) : C2 (small group id <160, 28>)
Aut   = $<320, 359>$ (small group id <320, 359>)
|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, Y2^40 ]
Map::
	R = (1, 161, 2, 162)(3, 163, 7, 167)(4, 164, 9, 169)(5, 165, 11, 171)(6, 166, 13, 173)(8, 168, 14, 174)(10, 170, 12, 172)(15, 175, 20, 180)(16, 176, 23, 183)(17, 177, 25, 185)(18, 178, 21, 181)(19, 179, 27, 187)(22, 182, 29, 189)(24, 184, 31, 191)(26, 186, 32, 192)(28, 188, 30, 190)(33, 193, 39, 199)(34, 194, 41, 201)(35, 195, 37, 197)(36, 196, 43, 203)(38, 198, 45, 205)(40, 200, 47, 207)(42, 202, 48, 208)(44, 204, 46, 206)(49, 209, 55, 215)(50, 210, 57, 217)(51, 211, 53, 213)(52, 212, 59, 219)(54, 214, 61, 221)(56, 216, 63, 223)(58, 218, 64, 224)(60, 220, 62, 222)(65, 225, 103, 263)(66, 226, 69, 229)(67, 227, 73, 233)(68, 228, 107, 267)(70, 230, 101, 261)(71, 231, 105, 265)(72, 232, 109, 269)(74, 234, 110, 270)(75, 235, 111, 271)(76, 236, 112, 272)(77, 237, 113, 273)(78, 238, 114, 274)(79, 239, 115, 275)(80, 240, 116, 276)(81, 241, 117, 277)(82, 242, 118, 278)(83, 243, 119, 279)(84, 244, 120, 280)(85, 245, 121, 281)(86, 246, 122, 282)(87, 247, 123, 283)(88, 248, 124, 284)(89, 249, 125, 285)(90, 250, 126, 286)(91, 251, 127, 287)(92, 252, 128, 288)(93, 253, 129, 289)(94, 254, 130, 290)(95, 255, 131, 291)(96, 256, 133, 293)(97, 257, 134, 294)(98, 258, 135, 295)(99, 259, 136, 296)(100, 260, 138, 298)(102, 262, 141, 301)(104, 264, 142, 302)(106, 266, 145, 305)(108, 268, 146, 306)(132, 292, 160, 320)(137, 297, 159, 319)(139, 299, 157, 317)(140, 300, 158, 318)(143, 303, 156, 316)(144, 304, 155, 315)(147, 307, 154, 314)(148, 308, 153, 313)(149, 309, 151, 311)(150, 310, 152, 312)(321, 481, 323, 483, 328, 488, 337, 497, 346, 506, 354, 514, 362, 522, 370, 530, 378, 538, 386, 546, 425, 585, 430, 590, 434, 594, 439, 599, 443, 603, 447, 607, 451, 611, 456, 616, 465, 625, 476, 636, 471, 631, 468, 628, 459, 619, 428, 588, 417, 577, 416, 576, 409, 569, 408, 568, 401, 561, 399, 559, 392, 552, 388, 548, 380, 540, 372, 532, 364, 524, 356, 516, 348, 508, 339, 499, 330, 490, 324, 484)(322, 482, 325, 485, 332, 492, 342, 502, 350, 510, 358, 518, 366, 526, 374, 534, 382, 542, 421, 581, 429, 589, 432, 592, 437, 597, 441, 601, 445, 605, 449, 609, 454, 614, 461, 621, 477, 637, 474, 634, 469, 629, 464, 624, 426, 586, 452, 612, 415, 575, 418, 578, 407, 567, 410, 570, 398, 558, 402, 562, 391, 551, 400, 560, 384, 544, 376, 536, 368, 528, 360, 520, 352, 512, 344, 504, 334, 494, 326, 486)(327, 487, 335, 495, 329, 489, 338, 498, 347, 507, 355, 515, 363, 523, 371, 531, 379, 539, 387, 547, 427, 587, 431, 591, 435, 595, 440, 600, 444, 604, 448, 608, 453, 613, 458, 618, 466, 626, 478, 638, 473, 633, 470, 630, 463, 623, 457, 617, 419, 579, 424, 584, 411, 571, 414, 574, 403, 563, 406, 566, 394, 554, 397, 557, 389, 549, 385, 545, 377, 537, 369, 529, 361, 521, 353, 513, 345, 505, 336, 496)(331, 491, 340, 500, 333, 493, 343, 503, 351, 511, 359, 519, 367, 527, 375, 535, 383, 543, 423, 583, 436, 596, 433, 593, 438, 598, 442, 602, 446, 606, 450, 610, 455, 615, 462, 622, 480, 640, 479, 639, 475, 635, 472, 632, 467, 627, 460, 620, 422, 582, 420, 580, 413, 573, 412, 572, 405, 565, 404, 564, 396, 556, 395, 555, 390, 550, 393, 553, 381, 541, 373, 533, 365, 525, 357, 517, 349, 509, 341, 501)
	L = (1, 322)(2, 321)(3, 327)(4, 329)(5, 331)(6, 333)(7, 323)(8, 334)(9, 324)(10, 332)(11, 325)(12, 330)(13, 326)(14, 328)(15, 340)(16, 343)(17, 345)(18, 341)(19, 347)(20, 335)(21, 338)(22, 349)(23, 336)(24, 351)(25, 337)(26, 352)(27, 339)(28, 350)(29, 342)(30, 348)(31, 344)(32, 346)(33, 359)(34, 361)(35, 357)(36, 363)(37, 355)(38, 365)(39, 353)(40, 367)(41, 354)(42, 368)(43, 356)(44, 366)(45, 358)(46, 364)(47, 360)(48, 362)(49, 375)(50, 377)(51, 373)(52, 379)(53, 371)(54, 381)(55, 369)(56, 383)(57, 370)(58, 384)(59, 372)(60, 382)(61, 374)(62, 380)(63, 376)(64, 378)(65, 423)(66, 389)(67, 393)(68, 427)(69, 386)(70, 421)(71, 425)(72, 429)(73, 387)(74, 430)(75, 431)(76, 432)(77, 433)(78, 434)(79, 435)(80, 436)(81, 437)(82, 438)(83, 439)(84, 440)(85, 441)(86, 442)(87, 443)(88, 444)(89, 445)(90, 446)(91, 447)(92, 448)(93, 449)(94, 450)(95, 451)(96, 453)(97, 454)(98, 455)(99, 456)(100, 458)(101, 390)(102, 461)(103, 385)(104, 462)(105, 391)(106, 465)(107, 388)(108, 466)(109, 392)(110, 394)(111, 395)(112, 396)(113, 397)(114, 398)(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, 411)(128, 412)(129, 413)(130, 414)(131, 415)(132, 480)(133, 416)(134, 417)(135, 418)(136, 419)(137, 479)(138, 420)(139, 477)(140, 478)(141, 422)(142, 424)(143, 476)(144, 475)(145, 426)(146, 428)(147, 474)(148, 473)(149, 471)(150, 472)(151, 469)(152, 470)(153, 468)(154, 467)(155, 464)(156, 463)(157, 459)(158, 460)(159, 457)(160, 452)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E19.2204
Graph:: bipartite
	v = 84 e = 320 f = 200
	degree seq :: [ 4^80, 80^4 ]

E19.2204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = (C40 x C2) : C2 (small group id <160, 28>)
Aut   = $<320, 359>$ (small group id <320, 359>)
|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)^40 ]
Map:: polytopal
	R = (1, 161, 2, 162, 6, 166, 4, 164)(3, 163, 9, 169, 13, 173, 8, 168)(5, 165, 11, 171, 14, 174, 7, 167)(10, 170, 16, 176, 21, 181, 17, 177)(12, 172, 15, 175, 22, 182, 19, 179)(18, 178, 25, 185, 29, 189, 24, 184)(20, 180, 27, 187, 30, 190, 23, 183)(26, 186, 32, 192, 37, 197, 33, 193)(28, 188, 31, 191, 38, 198, 35, 195)(34, 194, 41, 201, 45, 205, 40, 200)(36, 196, 43, 203, 46, 206, 39, 199)(42, 202, 48, 208, 53, 213, 49, 209)(44, 204, 47, 207, 54, 214, 51, 211)(50, 210, 57, 217, 61, 221, 56, 216)(52, 212, 59, 219, 62, 222, 55, 215)(58, 218, 64, 224, 101, 261, 65, 225)(60, 220, 63, 223, 74, 234, 67, 227)(66, 226, 72, 232, 109, 269, 69, 229)(68, 228, 107, 267, 70, 230, 103, 263)(71, 231, 105, 265, 77, 237, 110, 270)(73, 233, 111, 271, 76, 236, 112, 272)(75, 235, 113, 273, 81, 241, 114, 274)(78, 238, 115, 275, 80, 240, 116, 276)(79, 239, 117, 277, 85, 245, 118, 278)(82, 242, 119, 279, 84, 244, 120, 280)(83, 243, 121, 281, 89, 249, 122, 282)(86, 246, 123, 283, 88, 248, 124, 284)(87, 247, 125, 285, 93, 253, 126, 286)(90, 250, 127, 287, 92, 252, 128, 288)(91, 251, 129, 289, 97, 257, 130, 290)(94, 254, 131, 291, 96, 256, 132, 292)(95, 255, 133, 293, 102, 262, 134, 294)(98, 258, 136, 296, 100, 260, 137, 297)(99, 259, 138, 298, 135, 295, 139, 299)(104, 264, 142, 302, 108, 268, 143, 303)(106, 266, 146, 306, 140, 300, 147, 307)(141, 301, 160, 320, 144, 304, 159, 319)(145, 305, 158, 318, 148, 308, 157, 317)(149, 309, 155, 315, 150, 310, 156, 316)(151, 311, 153, 313, 152, 312, 154, 314)(321, 481)(322, 482)(323, 483)(324, 484)(325, 485)(326, 486)(327, 487)(328, 488)(329, 489)(330, 490)(331, 491)(332, 492)(333, 493)(334, 494)(335, 495)(336, 496)(337, 497)(338, 498)(339, 499)(340, 500)(341, 501)(342, 502)(343, 503)(344, 504)(345, 505)(346, 506)(347, 507)(348, 508)(349, 509)(350, 510)(351, 511)(352, 512)(353, 513)(354, 514)(355, 515)(356, 516)(357, 517)(358, 518)(359, 519)(360, 520)(361, 521)(362, 522)(363, 523)(364, 524)(365, 525)(366, 526)(367, 527)(368, 528)(369, 529)(370, 530)(371, 531)(372, 532)(373, 533)(374, 534)(375, 535)(376, 536)(377, 537)(378, 538)(379, 539)(380, 540)(381, 541)(382, 542)(383, 543)(384, 544)(385, 545)(386, 546)(387, 547)(388, 548)(389, 549)(390, 550)(391, 551)(392, 552)(393, 553)(394, 554)(395, 555)(396, 556)(397, 557)(398, 558)(399, 559)(400, 560)(401, 561)(402, 562)(403, 563)(404, 564)(405, 565)(406, 566)(407, 567)(408, 568)(409, 569)(410, 570)(411, 571)(412, 572)(413, 573)(414, 574)(415, 575)(416, 576)(417, 577)(418, 578)(419, 579)(420, 580)(421, 581)(422, 582)(423, 583)(424, 584)(425, 585)(426, 586)(427, 587)(428, 588)(429, 589)(430, 590)(431, 591)(432, 592)(433, 593)(434, 594)(435, 595)(436, 596)(437, 597)(438, 598)(439, 599)(440, 600)(441, 601)(442, 602)(443, 603)(444, 604)(445, 605)(446, 606)(447, 607)(448, 608)(449, 609)(450, 610)(451, 611)(452, 612)(453, 613)(454, 614)(455, 615)(456, 616)(457, 617)(458, 618)(459, 619)(460, 620)(461, 621)(462, 622)(463, 623)(464, 624)(465, 625)(466, 626)(467, 627)(468, 628)(469, 629)(470, 630)(471, 631)(472, 632)(473, 633)(474, 634)(475, 635)(476, 636)(477, 637)(478, 638)(479, 639)(480, 640)
	L = (1, 323)(2, 327)(3, 330)(4, 331)(5, 321)(6, 333)(7, 335)(8, 322)(9, 324)(10, 338)(11, 339)(12, 325)(13, 341)(14, 326)(15, 343)(16, 328)(17, 329)(18, 346)(19, 347)(20, 332)(21, 349)(22, 334)(23, 351)(24, 336)(25, 337)(26, 354)(27, 355)(28, 340)(29, 357)(30, 342)(31, 359)(32, 344)(33, 345)(34, 362)(35, 363)(36, 348)(37, 365)(38, 350)(39, 367)(40, 352)(41, 353)(42, 370)(43, 371)(44, 356)(45, 373)(46, 358)(47, 375)(48, 360)(49, 361)(50, 378)(51, 379)(52, 364)(53, 381)(54, 366)(55, 383)(56, 368)(57, 369)(58, 386)(59, 387)(60, 372)(61, 421)(62, 374)(63, 423)(64, 376)(65, 377)(66, 425)(67, 427)(68, 380)(69, 384)(70, 394)(71, 392)(72, 385)(73, 388)(74, 382)(75, 397)(76, 390)(77, 389)(78, 396)(79, 401)(80, 393)(81, 391)(82, 400)(83, 405)(84, 398)(85, 395)(86, 404)(87, 409)(88, 402)(89, 399)(90, 408)(91, 413)(92, 406)(93, 403)(94, 412)(95, 417)(96, 410)(97, 407)(98, 416)(99, 422)(100, 414)(101, 429)(102, 411)(103, 431)(104, 420)(105, 433)(106, 455)(107, 432)(108, 418)(109, 430)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 456)(132, 457)(133, 458)(134, 459)(135, 415)(136, 462)(137, 463)(138, 466)(139, 467)(140, 419)(141, 428)(142, 480)(143, 479)(144, 424)(145, 460)(146, 478)(147, 477)(148, 426)(149, 464)(150, 461)(151, 468)(152, 465)(153, 470)(154, 469)(155, 472)(156, 471)(157, 474)(158, 473)(159, 476)(160, 475)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 80 ), ( 4, 80, 4, 80, 4, 80, 4, 80 ) }
Outer automorphisms :: reflexible
Dual of E19.2203
Graph:: simple bipartite
	v = 200 e = 320 f = 84
	degree seq :: [ 2^160, 8^40 ]

E19.2205 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 40})
Quotient :: regular
Aut^+ = (C5 x (C8 : C2)) : C2 (small group id <160, 32>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^4, T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1 * T2, T2 * T1^10 * T2 * T1^-10, T1^40 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 68, 85, 101, 117, 133, 149, 143, 127, 110, 96, 79, 61, 32, 54, 73, 63, 36, 57, 75, 91, 107, 123, 139, 155, 148, 132, 116, 100, 84, 67, 44, 22, 10, 4)(3, 7, 15, 31, 59, 77, 93, 109, 125, 141, 150, 140, 121, 103, 86, 76, 52, 26, 12, 25, 49, 42, 21, 41, 65, 82, 98, 114, 130, 146, 153, 135, 118, 108, 89, 70, 46, 37, 18, 8)(6, 13, 27, 53, 43, 66, 83, 99, 115, 131, 147, 156, 137, 119, 102, 92, 72, 48, 24, 47, 40, 20, 9, 19, 38, 64, 81, 97, 113, 129, 145, 151, 134, 124, 105, 87, 69, 58, 30, 14)(16, 33, 50, 29, 56, 71, 90, 104, 122, 136, 154, 159, 158, 142, 126, 112, 95, 78, 60, 39, 55, 28, 17, 35, 51, 74, 88, 106, 120, 138, 152, 160, 157, 144, 128, 111, 94, 80, 62, 34)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 53)(35, 47)(37, 56)(38, 61)(40, 63)(41, 62)(42, 55)(44, 59)(45, 69)(48, 71)(49, 73)(52, 75)(58, 74)(64, 80)(65, 79)(66, 78)(67, 81)(68, 86)(70, 88)(72, 91)(76, 90)(77, 94)(82, 95)(83, 96)(84, 98)(85, 102)(87, 104)(89, 107)(92, 106)(93, 110)(97, 112)(99, 111)(100, 115)(101, 118)(103, 120)(105, 123)(108, 122)(109, 126)(113, 127)(114, 128)(116, 125)(117, 134)(119, 136)(121, 139)(124, 138)(129, 144)(130, 143)(131, 142)(132, 145)(133, 150)(135, 152)(137, 155)(140, 154)(141, 157)(146, 158)(147, 149)(148, 153)(151, 159)(156, 160)
	local type(s) :: { ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E19.2206
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 80 f = 40
	degree seq :: [ 40^4 ]

E19.2206 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 40})
Quotient :: regular
Aut^+ = (C5 x (C8 : C2)) : C2 (small group id <160, 32>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * 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 * 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 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 32, 25)(15, 26, 33, 27)(21, 35, 29, 36)(22, 37, 30, 38)(23, 34, 44, 39)(40, 49, 42, 50)(41, 51, 43, 52)(45, 53, 47, 54)(46, 55, 48, 56)(57, 65, 59, 66)(58, 67, 60, 68)(61, 69, 63, 70)(62, 71, 64, 72)(73, 121, 75, 125)(74, 123, 76, 127)(77, 129, 81, 132)(78, 133, 80, 135)(79, 136, 87, 138)(82, 142, 92, 143)(83, 144, 84, 130)(85, 147, 96, 137)(86, 149, 99, 148)(88, 151, 100, 152)(89, 141, 101, 131)(90, 154, 91, 140)(93, 158, 97, 159)(94, 139, 98, 134)(95, 157, 108, 153)(102, 160, 103, 150)(104, 156, 106, 155)(105, 146, 107, 145)(109, 122, 111, 126)(110, 124, 112, 128)(113, 117, 115, 119)(114, 118, 116, 120)
	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, 84)(70, 91)(71, 83)(72, 90)(77, 130)(78, 123)(79, 135)(80, 121)(81, 140)(82, 129)(85, 132)(86, 133)(87, 150)(88, 136)(89, 138)(92, 157)(93, 142)(94, 143)(95, 144)(96, 153)(97, 147)(98, 137)(99, 160)(100, 149)(101, 148)(102, 127)(103, 125)(104, 151)(105, 152)(106, 141)(107, 131)(108, 154)(109, 158)(110, 159)(111, 139)(112, 134)(113, 156)(114, 155)(115, 146)(116, 145)(117, 122)(118, 126)(119, 124)(120, 128)
	local type(s) :: { ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2205
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 40 e = 80 f = 4
	degree seq :: [ 4^40 ]

E19.2207 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 40})
Quotient :: edge
Aut^+ = (C5 x (C8 : C2)) : C2 (small group id <160, 32>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1, T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2, T2^-1 * T1 * T2 * T1 * T2^-1 * 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 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 43, 27)(20, 34, 48, 35)(23, 39, 28, 40)(25, 41, 30, 42)(31, 44, 36, 45)(33, 46, 38, 47)(49, 57, 51, 58)(50, 59, 52, 60)(53, 61, 55, 62)(54, 63, 56, 64)(65, 73, 67, 74)(66, 75, 68, 76)(69, 126, 71, 128)(70, 125, 72, 127)(77, 144, 84, 142)(78, 145, 87, 146)(79, 135, 80, 136)(81, 131, 82, 132)(83, 147, 100, 148)(85, 149, 105, 150)(86, 151, 108, 153)(88, 154, 113, 156)(89, 120, 90, 121)(91, 157, 119, 158)(92, 122, 93, 123)(94, 115, 95, 116)(96, 140, 124, 138)(97, 117, 98, 118)(99, 155, 104, 159)(101, 152, 106, 160)(102, 129, 103, 130)(107, 141, 112, 137)(109, 143, 114, 139)(110, 133, 111, 134)(161, 162)(163, 167)(164, 169)(165, 170)(166, 172)(168, 175)(171, 180)(173, 183)(174, 185)(176, 188)(177, 190)(178, 191)(179, 193)(181, 196)(182, 198)(184, 194)(186, 192)(187, 197)(189, 195)(199, 209)(200, 210)(201, 211)(202, 212)(203, 208)(204, 213)(205, 214)(206, 215)(207, 216)(217, 225)(218, 226)(219, 227)(220, 228)(221, 229)(222, 230)(223, 231)(224, 232)(233, 297)(234, 299)(235, 301)(236, 303)(237, 292)(238, 296)(239, 281)(240, 283)(241, 276)(242, 278)(243, 304)(244, 290)(245, 302)(246, 305)(247, 294)(248, 306)(249, 254)(250, 257)(251, 295)(252, 255)(253, 258)(256, 291)(259, 307)(260, 300)(261, 308)(262, 275)(263, 277)(264, 309)(265, 298)(266, 310)(267, 311)(268, 317)(269, 313)(270, 280)(271, 282)(272, 314)(273, 318)(274, 316)(279, 293)(284, 289)(285, 315)(286, 319)(287, 312)(288, 320)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 80, 80 ), ( 80^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2211
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 160 f = 4
	degree seq :: [ 2^80, 4^40 ]

E19.2208 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 40})
Quotient :: edge
Aut^+ = (C5 x (C8 : C2)) : C2 (small group id <160, 32>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ F^2, T1^4, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1^-1, (T2^3 * T1^-1)^2, (T2 * T1^-1)^4, T2 * T1^-1 * T2^-19 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 48, 64, 80, 96, 112, 128, 144, 152, 136, 120, 104, 88, 72, 56, 39, 28, 42, 19, 41, 58, 74, 90, 106, 122, 138, 154, 148, 132, 116, 100, 84, 68, 52, 32, 14, 5)(2, 7, 17, 38, 57, 73, 89, 105, 121, 137, 153, 142, 126, 110, 94, 78, 62, 46, 23, 11, 26, 35, 31, 51, 67, 83, 99, 115, 131, 147, 156, 140, 124, 108, 92, 76, 60, 44, 20, 8)(4, 12, 27, 49, 65, 81, 97, 113, 129, 145, 158, 143, 127, 111, 95, 79, 63, 47, 25, 34, 30, 13, 29, 50, 66, 82, 98, 114, 130, 146, 157, 141, 125, 109, 93, 77, 61, 45, 22, 9)(6, 15, 33, 53, 69, 85, 101, 117, 133, 149, 159, 151, 135, 119, 103, 87, 71, 55, 37, 18, 40, 21, 43, 59, 75, 91, 107, 123, 139, 155, 160, 150, 134, 118, 102, 86, 70, 54, 36, 16)(161, 162, 166, 164)(163, 169, 181, 171)(165, 173, 178, 167)(168, 179, 194, 175)(170, 183, 193, 185)(172, 176, 195, 188)(174, 191, 196, 189)(177, 197, 187, 199)(180, 203, 182, 201)(184, 207, 219, 204)(186, 200, 190, 202)(192, 209, 215, 211)(198, 216, 210, 214)(205, 213, 206, 218)(208, 220, 229, 221)(212, 217, 230, 225)(222, 235, 223, 234)(224, 237, 251, 238)(226, 232, 227, 231)(228, 242, 247, 233)(236, 250, 239, 245)(240, 254, 261, 255)(241, 246, 243, 248)(244, 259, 262, 258)(249, 263, 257, 264)(252, 267, 253, 266)(256, 271, 283, 268)(260, 273, 279, 275)(265, 280, 274, 278)(269, 277, 270, 282)(272, 284, 293, 285)(276, 281, 294, 289)(286, 299, 287, 298)(288, 301, 315, 302)(290, 296, 291, 295)(292, 306, 311, 297)(300, 314, 303, 309)(304, 313, 319, 318)(305, 310, 307, 312)(308, 316, 320, 317)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E19.2212
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 160 f = 80
	degree seq :: [ 4^40, 40^4 ]

E19.2209 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 40})
Quotient :: edge
Aut^+ = (C5 x (C8 : C2)) : C2 (small group id <160, 32>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1, (T1^4 * T2)^2, T1^-4 * T2 * T1^6 * T2 * T1^-10 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 53)(35, 47)(37, 56)(38, 61)(40, 63)(41, 62)(42, 55)(44, 59)(45, 69)(48, 71)(49, 73)(52, 75)(58, 74)(64, 80)(65, 79)(66, 78)(67, 81)(68, 86)(70, 88)(72, 91)(76, 90)(77, 94)(82, 95)(83, 96)(84, 98)(85, 102)(87, 104)(89, 107)(92, 106)(93, 110)(97, 112)(99, 111)(100, 115)(101, 118)(103, 120)(105, 123)(108, 122)(109, 126)(113, 127)(114, 128)(116, 125)(117, 134)(119, 136)(121, 139)(124, 138)(129, 144)(130, 143)(131, 142)(132, 145)(133, 150)(135, 152)(137, 155)(140, 154)(141, 157)(146, 158)(147, 149)(148, 153)(151, 159)(156, 160)(161, 162, 165, 171, 183, 205, 228, 245, 261, 277, 293, 309, 303, 287, 270, 256, 239, 221, 192, 214, 233, 223, 196, 217, 235, 251, 267, 283, 299, 315, 308, 292, 276, 260, 244, 227, 204, 182, 170, 164)(163, 167, 175, 191, 219, 237, 253, 269, 285, 301, 310, 300, 281, 263, 246, 236, 212, 186, 172, 185, 209, 202, 181, 201, 225, 242, 258, 274, 290, 306, 313, 295, 278, 268, 249, 230, 206, 197, 178, 168)(166, 173, 187, 213, 203, 226, 243, 259, 275, 291, 307, 316, 297, 279, 262, 252, 232, 208, 184, 207, 200, 180, 169, 179, 198, 224, 241, 257, 273, 289, 305, 311, 294, 284, 265, 247, 229, 218, 190, 174)(176, 193, 210, 189, 216, 231, 250, 264, 282, 296, 314, 319, 318, 302, 286, 272, 255, 238, 220, 199, 215, 188, 177, 195, 211, 234, 248, 266, 280, 298, 312, 320, 317, 304, 288, 271, 254, 240, 222, 194)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 8 ), ( 8^40 ) }
Outer automorphisms :: reflexible
Dual of E19.2210
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 160 f = 40
	degree seq :: [ 2^80, 40^4 ]

E19.2210 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 40})
Quotient :: loop
Aut^+ = (C5 x (C8 : C2)) : C2 (small group id <160, 32>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1, T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2, T2^-1 * T1 * T2 * T1 * T2^-1 * 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 ]
Map::
	R = (1, 161, 3, 163, 8, 168, 4, 164)(2, 162, 5, 165, 11, 171, 6, 166)(7, 167, 13, 173, 24, 184, 14, 174)(9, 169, 16, 176, 29, 189, 17, 177)(10, 170, 18, 178, 32, 192, 19, 179)(12, 172, 21, 181, 37, 197, 22, 182)(15, 175, 26, 186, 43, 203, 27, 187)(20, 180, 34, 194, 48, 208, 35, 195)(23, 183, 39, 199, 28, 188, 40, 200)(25, 185, 41, 201, 30, 190, 42, 202)(31, 191, 44, 204, 36, 196, 45, 205)(33, 193, 46, 206, 38, 198, 47, 207)(49, 209, 57, 217, 51, 211, 58, 218)(50, 210, 59, 219, 52, 212, 60, 220)(53, 213, 61, 221, 55, 215, 62, 222)(54, 214, 63, 223, 56, 216, 64, 224)(65, 225, 73, 233, 67, 227, 74, 234)(66, 226, 75, 235, 68, 228, 76, 236)(69, 229, 143, 303, 71, 231, 144, 304)(70, 230, 141, 301, 72, 232, 142, 302)(77, 237, 116, 276, 96, 256, 118, 278)(78, 238, 121, 281, 91, 251, 123, 283)(79, 239, 94, 254, 110, 270, 97, 257)(80, 240, 95, 255, 111, 271, 98, 258)(81, 241, 89, 249, 102, 262, 92, 252)(82, 242, 90, 250, 103, 263, 93, 253)(83, 243, 134, 294, 85, 245, 136, 296)(84, 244, 115, 275, 124, 284, 117, 277)(86, 246, 138, 298, 88, 248, 140, 300)(87, 247, 120, 280, 119, 279, 122, 282)(99, 259, 148, 308, 101, 261, 152, 312)(100, 260, 133, 293, 105, 265, 135, 295)(104, 264, 146, 306, 106, 266, 150, 310)(107, 267, 153, 313, 109, 269, 154, 314)(108, 268, 137, 297, 113, 273, 139, 299)(112, 272, 155, 315, 114, 274, 156, 316)(125, 285, 157, 317, 126, 286, 158, 318)(127, 287, 159, 319, 128, 288, 160, 320)(129, 289, 149, 309, 130, 290, 145, 305)(131, 291, 151, 311, 132, 292, 147, 307)
	L = (1, 162)(2, 161)(3, 167)(4, 169)(5, 170)(6, 172)(7, 163)(8, 175)(9, 164)(10, 165)(11, 180)(12, 166)(13, 183)(14, 185)(15, 168)(16, 188)(17, 190)(18, 191)(19, 193)(20, 171)(21, 196)(22, 198)(23, 173)(24, 194)(25, 174)(26, 192)(27, 197)(28, 176)(29, 195)(30, 177)(31, 178)(32, 186)(33, 179)(34, 184)(35, 189)(36, 181)(37, 187)(38, 182)(39, 209)(40, 210)(41, 211)(42, 212)(43, 208)(44, 213)(45, 214)(46, 215)(47, 216)(48, 203)(49, 199)(50, 200)(51, 201)(52, 202)(53, 204)(54, 205)(55, 206)(56, 207)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 217)(66, 218)(67, 219)(68, 220)(69, 221)(70, 222)(71, 223)(72, 224)(73, 305)(74, 307)(75, 309)(76, 311)(77, 250)(78, 255)(79, 263)(80, 242)(81, 271)(82, 240)(83, 276)(84, 253)(85, 275)(86, 281)(87, 258)(88, 280)(89, 256)(90, 237)(91, 254)(92, 284)(93, 244)(94, 251)(95, 238)(96, 249)(97, 279)(98, 247)(99, 294)(100, 278)(101, 293)(102, 270)(103, 239)(104, 296)(105, 277)(106, 295)(107, 298)(108, 283)(109, 297)(110, 262)(111, 241)(112, 300)(113, 282)(114, 299)(115, 245)(116, 243)(117, 265)(118, 260)(119, 257)(120, 248)(121, 246)(122, 273)(123, 268)(124, 252)(125, 308)(126, 306)(127, 312)(128, 310)(129, 313)(130, 315)(131, 314)(132, 316)(133, 261)(134, 259)(135, 266)(136, 264)(137, 269)(138, 267)(139, 274)(140, 272)(141, 317)(142, 319)(143, 318)(144, 320)(145, 233)(146, 286)(147, 234)(148, 285)(149, 235)(150, 288)(151, 236)(152, 287)(153, 289)(154, 291)(155, 290)(156, 292)(157, 301)(158, 303)(159, 302)(160, 304)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.2209
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 40 e = 160 f = 84
	degree seq :: [ 8^40 ]

E19.2211 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 40})
Quotient :: loop
Aut^+ = (C5 x (C8 : C2)) : C2 (small group id <160, 32>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ F^2, T1^4, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1^-1, (T2^3 * T1^-1)^2, (T2 * T1^-1)^4, T2 * T1^-1 * T2^-19 * T1^-1 ]
Map::
	R = (1, 161, 3, 163, 10, 170, 24, 184, 48, 208, 64, 224, 80, 240, 96, 256, 112, 272, 128, 288, 144, 304, 152, 312, 136, 296, 120, 280, 104, 264, 88, 248, 72, 232, 56, 216, 39, 199, 28, 188, 42, 202, 19, 179, 41, 201, 58, 218, 74, 234, 90, 250, 106, 266, 122, 282, 138, 298, 154, 314, 148, 308, 132, 292, 116, 276, 100, 260, 84, 244, 68, 228, 52, 212, 32, 192, 14, 174, 5, 165)(2, 162, 7, 167, 17, 177, 38, 198, 57, 217, 73, 233, 89, 249, 105, 265, 121, 281, 137, 297, 153, 313, 142, 302, 126, 286, 110, 270, 94, 254, 78, 238, 62, 222, 46, 206, 23, 183, 11, 171, 26, 186, 35, 195, 31, 191, 51, 211, 67, 227, 83, 243, 99, 259, 115, 275, 131, 291, 147, 307, 156, 316, 140, 300, 124, 284, 108, 268, 92, 252, 76, 236, 60, 220, 44, 204, 20, 180, 8, 168)(4, 164, 12, 172, 27, 187, 49, 209, 65, 225, 81, 241, 97, 257, 113, 273, 129, 289, 145, 305, 158, 318, 143, 303, 127, 287, 111, 271, 95, 255, 79, 239, 63, 223, 47, 207, 25, 185, 34, 194, 30, 190, 13, 173, 29, 189, 50, 210, 66, 226, 82, 242, 98, 258, 114, 274, 130, 290, 146, 306, 157, 317, 141, 301, 125, 285, 109, 269, 93, 253, 77, 237, 61, 221, 45, 205, 22, 182, 9, 169)(6, 166, 15, 175, 33, 193, 53, 213, 69, 229, 85, 245, 101, 261, 117, 277, 133, 293, 149, 309, 159, 319, 151, 311, 135, 295, 119, 279, 103, 263, 87, 247, 71, 231, 55, 215, 37, 197, 18, 178, 40, 200, 21, 181, 43, 203, 59, 219, 75, 235, 91, 251, 107, 267, 123, 283, 139, 299, 155, 315, 160, 320, 150, 310, 134, 294, 118, 278, 102, 262, 86, 246, 70, 230, 54, 214, 36, 196, 16, 176)
	L = (1, 162)(2, 166)(3, 169)(4, 161)(5, 173)(6, 164)(7, 165)(8, 179)(9, 181)(10, 183)(11, 163)(12, 176)(13, 178)(14, 191)(15, 168)(16, 195)(17, 197)(18, 167)(19, 194)(20, 203)(21, 171)(22, 201)(23, 193)(24, 207)(25, 170)(26, 200)(27, 199)(28, 172)(29, 174)(30, 202)(31, 196)(32, 209)(33, 185)(34, 175)(35, 188)(36, 189)(37, 187)(38, 216)(39, 177)(40, 190)(41, 180)(42, 186)(43, 182)(44, 184)(45, 213)(46, 218)(47, 219)(48, 220)(49, 215)(50, 214)(51, 192)(52, 217)(53, 206)(54, 198)(55, 211)(56, 210)(57, 230)(58, 205)(59, 204)(60, 229)(61, 208)(62, 235)(63, 234)(64, 237)(65, 212)(66, 232)(67, 231)(68, 242)(69, 221)(70, 225)(71, 226)(72, 227)(73, 228)(74, 222)(75, 223)(76, 250)(77, 251)(78, 224)(79, 245)(80, 254)(81, 246)(82, 247)(83, 248)(84, 259)(85, 236)(86, 243)(87, 233)(88, 241)(89, 263)(90, 239)(91, 238)(92, 267)(93, 266)(94, 261)(95, 240)(96, 271)(97, 264)(98, 244)(99, 262)(100, 273)(101, 255)(102, 258)(103, 257)(104, 249)(105, 280)(106, 252)(107, 253)(108, 256)(109, 277)(110, 282)(111, 283)(112, 284)(113, 279)(114, 278)(115, 260)(116, 281)(117, 270)(118, 265)(119, 275)(120, 274)(121, 294)(122, 269)(123, 268)(124, 293)(125, 272)(126, 299)(127, 298)(128, 301)(129, 276)(130, 296)(131, 295)(132, 306)(133, 285)(134, 289)(135, 290)(136, 291)(137, 292)(138, 286)(139, 287)(140, 314)(141, 315)(142, 288)(143, 309)(144, 313)(145, 310)(146, 311)(147, 312)(148, 316)(149, 300)(150, 307)(151, 297)(152, 305)(153, 319)(154, 303)(155, 302)(156, 320)(157, 308)(158, 304)(159, 318)(160, 317)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.2207
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 160 f = 120
	degree seq :: [ 80^4 ]

E19.2212 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 40})
Quotient :: loop
Aut^+ = (C5 x (C8 : C2)) : C2 (small group id <160, 32>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1, (T1^4 * T2)^2, T1^-4 * T2 * T1^6 * T2 * T1^-10 ]
Map:: polytopal non-degenerate
	R = (1, 161, 3, 163)(2, 162, 6, 166)(4, 164, 9, 169)(5, 165, 12, 172)(7, 167, 16, 176)(8, 168, 17, 177)(10, 170, 21, 181)(11, 171, 24, 184)(13, 173, 28, 188)(14, 174, 29, 189)(15, 175, 32, 192)(18, 178, 36, 196)(19, 179, 39, 199)(20, 180, 33, 193)(22, 182, 43, 203)(23, 183, 46, 206)(25, 185, 50, 210)(26, 186, 51, 211)(27, 187, 54, 214)(30, 190, 57, 217)(31, 191, 60, 220)(34, 194, 53, 213)(35, 195, 47, 207)(37, 197, 56, 216)(38, 198, 61, 221)(40, 200, 63, 223)(41, 201, 62, 222)(42, 202, 55, 215)(44, 204, 59, 219)(45, 205, 69, 229)(48, 208, 71, 231)(49, 209, 73, 233)(52, 212, 75, 235)(58, 218, 74, 234)(64, 224, 80, 240)(65, 225, 79, 239)(66, 226, 78, 238)(67, 227, 81, 241)(68, 228, 86, 246)(70, 230, 88, 248)(72, 232, 91, 251)(76, 236, 90, 250)(77, 237, 94, 254)(82, 242, 95, 255)(83, 243, 96, 256)(84, 244, 98, 258)(85, 245, 102, 262)(87, 247, 104, 264)(89, 249, 107, 267)(92, 252, 106, 266)(93, 253, 110, 270)(97, 257, 112, 272)(99, 259, 111, 271)(100, 260, 115, 275)(101, 261, 118, 278)(103, 263, 120, 280)(105, 265, 123, 283)(108, 268, 122, 282)(109, 269, 126, 286)(113, 273, 127, 287)(114, 274, 128, 288)(116, 276, 125, 285)(117, 277, 134, 294)(119, 279, 136, 296)(121, 281, 139, 299)(124, 284, 138, 298)(129, 289, 144, 304)(130, 290, 143, 303)(131, 291, 142, 302)(132, 292, 145, 305)(133, 293, 150, 310)(135, 295, 152, 312)(137, 297, 155, 315)(140, 300, 154, 314)(141, 301, 157, 317)(146, 306, 158, 318)(147, 307, 149, 309)(148, 308, 153, 313)(151, 311, 159, 319)(156, 316, 160, 320)
	L = (1, 162)(2, 165)(3, 167)(4, 161)(5, 171)(6, 173)(7, 175)(8, 163)(9, 179)(10, 164)(11, 183)(12, 185)(13, 187)(14, 166)(15, 191)(16, 193)(17, 195)(18, 168)(19, 198)(20, 169)(21, 201)(22, 170)(23, 205)(24, 207)(25, 209)(26, 172)(27, 213)(28, 177)(29, 216)(30, 174)(31, 219)(32, 214)(33, 210)(34, 176)(35, 211)(36, 217)(37, 178)(38, 224)(39, 215)(40, 180)(41, 225)(42, 181)(43, 226)(44, 182)(45, 228)(46, 197)(47, 200)(48, 184)(49, 202)(50, 189)(51, 234)(52, 186)(53, 203)(54, 233)(55, 188)(56, 231)(57, 235)(58, 190)(59, 237)(60, 199)(61, 192)(62, 194)(63, 196)(64, 241)(65, 242)(66, 243)(67, 204)(68, 245)(69, 218)(70, 206)(71, 250)(72, 208)(73, 223)(74, 248)(75, 251)(76, 212)(77, 253)(78, 220)(79, 221)(80, 222)(81, 257)(82, 258)(83, 259)(84, 227)(85, 261)(86, 236)(87, 229)(88, 266)(89, 230)(90, 264)(91, 267)(92, 232)(93, 269)(94, 240)(95, 238)(96, 239)(97, 273)(98, 274)(99, 275)(100, 244)(101, 277)(102, 252)(103, 246)(104, 282)(105, 247)(106, 280)(107, 283)(108, 249)(109, 285)(110, 256)(111, 254)(112, 255)(113, 289)(114, 290)(115, 291)(116, 260)(117, 293)(118, 268)(119, 262)(120, 298)(121, 263)(122, 296)(123, 299)(124, 265)(125, 301)(126, 272)(127, 270)(128, 271)(129, 305)(130, 306)(131, 307)(132, 276)(133, 309)(134, 284)(135, 278)(136, 314)(137, 279)(138, 312)(139, 315)(140, 281)(141, 310)(142, 286)(143, 287)(144, 288)(145, 311)(146, 313)(147, 316)(148, 292)(149, 303)(150, 300)(151, 294)(152, 320)(153, 295)(154, 319)(155, 308)(156, 297)(157, 304)(158, 302)(159, 318)(160, 317)
	local type(s) :: { ( 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E19.2208
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 80 e = 160 f = 44
	degree seq :: [ 4^80 ]

E19.2213 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = (C5 x (C8 : C2)) : C2 (small group id <160, 32>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, R * Y2^-2 * R * Y1 * Y2^-2 * Y1, Y2^-1 * Y1 * Y2 * R * Y2^2 * R * Y2^-1 * Y1 * Y2^-1, 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, (Y3 * Y2^-1)^40 ]
Map::
	R = (1, 161, 2, 162)(3, 163, 7, 167)(4, 164, 9, 169)(5, 165, 10, 170)(6, 166, 12, 172)(8, 168, 15, 175)(11, 171, 20, 180)(13, 173, 23, 183)(14, 174, 25, 185)(16, 176, 28, 188)(17, 177, 30, 190)(18, 178, 31, 191)(19, 179, 33, 193)(21, 181, 36, 196)(22, 182, 38, 198)(24, 184, 34, 194)(26, 186, 32, 192)(27, 187, 37, 197)(29, 189, 35, 195)(39, 199, 49, 209)(40, 200, 50, 210)(41, 201, 51, 211)(42, 202, 52, 212)(43, 203, 48, 208)(44, 204, 53, 213)(45, 205, 54, 214)(46, 206, 55, 215)(47, 207, 56, 216)(57, 217, 65, 225)(58, 218, 66, 226)(59, 219, 67, 227)(60, 220, 68, 228)(61, 221, 69, 229)(62, 222, 70, 230)(63, 223, 71, 231)(64, 224, 72, 232)(73, 233, 129, 289)(74, 234, 131, 291)(75, 235, 133, 293)(76, 236, 135, 295)(77, 237, 137, 297)(78, 238, 141, 301)(79, 239, 145, 305)(80, 240, 148, 308)(81, 241, 136, 296)(82, 242, 132, 292)(83, 243, 155, 315)(84, 244, 152, 312)(85, 245, 140, 300)(86, 246, 158, 318)(87, 247, 146, 306)(88, 248, 144, 304)(89, 249, 127, 287)(90, 250, 125, 285)(91, 251, 151, 311)(92, 252, 128, 288)(93, 253, 126, 286)(94, 254, 123, 283)(95, 255, 121, 281)(96, 256, 154, 314)(97, 257, 124, 284)(98, 258, 122, 282)(99, 259, 150, 310)(100, 260, 143, 303)(101, 261, 157, 317)(102, 262, 134, 294)(103, 263, 130, 290)(104, 264, 147, 307)(105, 265, 138, 298)(106, 266, 156, 316)(107, 267, 139, 299)(108, 268, 160, 320)(109, 269, 159, 319)(110, 270, 142, 302)(111, 271, 116, 276)(112, 272, 118, 278)(113, 273, 117, 277)(114, 274, 119, 279)(115, 275, 149, 309)(120, 280, 153, 313)(321, 481, 323, 483, 328, 488, 324, 484)(322, 482, 325, 485, 331, 491, 326, 486)(327, 487, 333, 493, 344, 504, 334, 494)(329, 489, 336, 496, 349, 509, 337, 497)(330, 490, 338, 498, 352, 512, 339, 499)(332, 492, 341, 501, 357, 517, 342, 502)(335, 495, 346, 506, 363, 523, 347, 507)(340, 500, 354, 514, 368, 528, 355, 515)(343, 503, 359, 519, 348, 508, 360, 520)(345, 505, 361, 521, 350, 510, 362, 522)(351, 511, 364, 524, 356, 516, 365, 525)(353, 513, 366, 526, 358, 518, 367, 527)(369, 529, 377, 537, 371, 531, 378, 538)(370, 530, 379, 539, 372, 532, 380, 540)(373, 533, 381, 541, 375, 535, 382, 542)(374, 534, 383, 543, 376, 536, 384, 544)(385, 545, 393, 553, 387, 547, 394, 554)(386, 546, 395, 555, 388, 548, 396, 556)(389, 549, 419, 579, 391, 551, 421, 581)(390, 550, 424, 584, 392, 552, 426, 586)(397, 557, 458, 618, 416, 576, 460, 620)(398, 558, 462, 622, 411, 571, 464, 624)(399, 559, 466, 626, 428, 588, 461, 621)(400, 560, 469, 629, 429, 589, 471, 631)(401, 561, 472, 632, 422, 582, 457, 617)(402, 562, 473, 633, 423, 583, 474, 634)(403, 563, 476, 636, 405, 565, 477, 637)(404, 564, 463, 623, 440, 600, 475, 635)(406, 566, 455, 615, 408, 568, 451, 611)(407, 567, 459, 619, 435, 595, 478, 638)(409, 569, 468, 628, 412, 572, 465, 625)(410, 570, 479, 639, 413, 573, 480, 640)(414, 574, 452, 612, 417, 577, 456, 616)(415, 575, 450, 610, 418, 578, 454, 614)(420, 580, 467, 627, 425, 585, 470, 630)(427, 587, 453, 613, 430, 590, 449, 609)(431, 591, 445, 605, 433, 593, 447, 607)(432, 592, 446, 606, 434, 594, 448, 608)(436, 596, 441, 601, 438, 598, 443, 603)(437, 597, 442, 602, 439, 599, 444, 604)
	L = (1, 322)(2, 321)(3, 327)(4, 329)(5, 330)(6, 332)(7, 323)(8, 335)(9, 324)(10, 325)(11, 340)(12, 326)(13, 343)(14, 345)(15, 328)(16, 348)(17, 350)(18, 351)(19, 353)(20, 331)(21, 356)(22, 358)(23, 333)(24, 354)(25, 334)(26, 352)(27, 357)(28, 336)(29, 355)(30, 337)(31, 338)(32, 346)(33, 339)(34, 344)(35, 349)(36, 341)(37, 347)(38, 342)(39, 369)(40, 370)(41, 371)(42, 372)(43, 368)(44, 373)(45, 374)(46, 375)(47, 376)(48, 363)(49, 359)(50, 360)(51, 361)(52, 362)(53, 364)(54, 365)(55, 366)(56, 367)(57, 385)(58, 386)(59, 387)(60, 388)(61, 389)(62, 390)(63, 391)(64, 392)(65, 377)(66, 378)(67, 379)(68, 380)(69, 381)(70, 382)(71, 383)(72, 384)(73, 449)(74, 451)(75, 453)(76, 455)(77, 457)(78, 461)(79, 465)(80, 468)(81, 456)(82, 452)(83, 475)(84, 472)(85, 460)(86, 478)(87, 466)(88, 464)(89, 447)(90, 445)(91, 471)(92, 448)(93, 446)(94, 443)(95, 441)(96, 474)(97, 444)(98, 442)(99, 470)(100, 463)(101, 477)(102, 454)(103, 450)(104, 467)(105, 458)(106, 476)(107, 459)(108, 480)(109, 479)(110, 462)(111, 436)(112, 438)(113, 437)(114, 439)(115, 469)(116, 431)(117, 433)(118, 432)(119, 434)(120, 473)(121, 415)(122, 418)(123, 414)(124, 417)(125, 410)(126, 413)(127, 409)(128, 412)(129, 393)(130, 423)(131, 394)(132, 402)(133, 395)(134, 422)(135, 396)(136, 401)(137, 397)(138, 425)(139, 427)(140, 405)(141, 398)(142, 430)(143, 420)(144, 408)(145, 399)(146, 407)(147, 424)(148, 400)(149, 435)(150, 419)(151, 411)(152, 404)(153, 440)(154, 416)(155, 403)(156, 426)(157, 421)(158, 406)(159, 429)(160, 428)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 2, 80, 2, 80 ), ( 2, 80, 2, 80, 2, 80, 2, 80 ) }
Outer automorphisms :: reflexible
Dual of E19.2216
Graph:: bipartite
	v = 120 e = 320 f = 164
	degree seq :: [ 4^80, 8^40 ]

E19.2214 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = (C5 x (C8 : C2)) : C2 (small group id <160, 32>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^2 * Y1^2, Y2^2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, (Y2^-1 * Y1)^4, Y2 * Y1 * Y2^-18 * Y1^-1 * Y2 ]
Map::
	R = (1, 161, 2, 162, 6, 166, 4, 164)(3, 163, 9, 169, 21, 181, 11, 171)(5, 165, 13, 173, 18, 178, 7, 167)(8, 168, 19, 179, 34, 194, 15, 175)(10, 170, 23, 183, 33, 193, 25, 185)(12, 172, 16, 176, 35, 195, 28, 188)(14, 174, 31, 191, 36, 196, 29, 189)(17, 177, 37, 197, 27, 187, 39, 199)(20, 180, 43, 203, 22, 182, 41, 201)(24, 184, 47, 207, 59, 219, 44, 204)(26, 186, 40, 200, 30, 190, 42, 202)(32, 192, 49, 209, 55, 215, 51, 211)(38, 198, 56, 216, 50, 210, 54, 214)(45, 205, 53, 213, 46, 206, 58, 218)(48, 208, 60, 220, 69, 229, 61, 221)(52, 212, 57, 217, 70, 230, 65, 225)(62, 222, 75, 235, 63, 223, 74, 234)(64, 224, 77, 237, 91, 251, 78, 238)(66, 226, 72, 232, 67, 227, 71, 231)(68, 228, 82, 242, 87, 247, 73, 233)(76, 236, 90, 250, 79, 239, 85, 245)(80, 240, 94, 254, 101, 261, 95, 255)(81, 241, 86, 246, 83, 243, 88, 248)(84, 244, 99, 259, 102, 262, 98, 258)(89, 249, 103, 263, 97, 257, 104, 264)(92, 252, 107, 267, 93, 253, 106, 266)(96, 256, 111, 271, 123, 283, 108, 268)(100, 260, 113, 273, 119, 279, 115, 275)(105, 265, 120, 280, 114, 274, 118, 278)(109, 269, 117, 277, 110, 270, 122, 282)(112, 272, 124, 284, 133, 293, 125, 285)(116, 276, 121, 281, 134, 294, 129, 289)(126, 286, 139, 299, 127, 287, 138, 298)(128, 288, 141, 301, 155, 315, 142, 302)(130, 290, 136, 296, 131, 291, 135, 295)(132, 292, 146, 306, 151, 311, 137, 297)(140, 300, 154, 314, 143, 303, 149, 309)(144, 304, 153, 313, 159, 319, 158, 318)(145, 305, 150, 310, 147, 307, 152, 312)(148, 308, 156, 316, 160, 320, 157, 317)(321, 481, 323, 483, 330, 490, 344, 504, 368, 528, 384, 544, 400, 560, 416, 576, 432, 592, 448, 608, 464, 624, 472, 632, 456, 616, 440, 600, 424, 584, 408, 568, 392, 552, 376, 536, 359, 519, 348, 508, 362, 522, 339, 499, 361, 521, 378, 538, 394, 554, 410, 570, 426, 586, 442, 602, 458, 618, 474, 634, 468, 628, 452, 612, 436, 596, 420, 580, 404, 564, 388, 548, 372, 532, 352, 512, 334, 494, 325, 485)(322, 482, 327, 487, 337, 497, 358, 518, 377, 537, 393, 553, 409, 569, 425, 585, 441, 601, 457, 617, 473, 633, 462, 622, 446, 606, 430, 590, 414, 574, 398, 558, 382, 542, 366, 526, 343, 503, 331, 491, 346, 506, 355, 515, 351, 511, 371, 531, 387, 547, 403, 563, 419, 579, 435, 595, 451, 611, 467, 627, 476, 636, 460, 620, 444, 604, 428, 588, 412, 572, 396, 556, 380, 540, 364, 524, 340, 500, 328, 488)(324, 484, 332, 492, 347, 507, 369, 529, 385, 545, 401, 561, 417, 577, 433, 593, 449, 609, 465, 625, 478, 638, 463, 623, 447, 607, 431, 591, 415, 575, 399, 559, 383, 543, 367, 527, 345, 505, 354, 514, 350, 510, 333, 493, 349, 509, 370, 530, 386, 546, 402, 562, 418, 578, 434, 594, 450, 610, 466, 626, 477, 637, 461, 621, 445, 605, 429, 589, 413, 573, 397, 557, 381, 541, 365, 525, 342, 502, 329, 489)(326, 486, 335, 495, 353, 513, 373, 533, 389, 549, 405, 565, 421, 581, 437, 597, 453, 613, 469, 629, 479, 639, 471, 631, 455, 615, 439, 599, 423, 583, 407, 567, 391, 551, 375, 535, 357, 517, 338, 498, 360, 520, 341, 501, 363, 523, 379, 539, 395, 555, 411, 571, 427, 587, 443, 603, 459, 619, 475, 635, 480, 640, 470, 630, 454, 614, 438, 598, 422, 582, 406, 566, 390, 550, 374, 534, 356, 516, 336, 496)
	L = (1, 323)(2, 327)(3, 330)(4, 332)(5, 321)(6, 335)(7, 337)(8, 322)(9, 324)(10, 344)(11, 346)(12, 347)(13, 349)(14, 325)(15, 353)(16, 326)(17, 358)(18, 360)(19, 361)(20, 328)(21, 363)(22, 329)(23, 331)(24, 368)(25, 354)(26, 355)(27, 369)(28, 362)(29, 370)(30, 333)(31, 371)(32, 334)(33, 373)(34, 350)(35, 351)(36, 336)(37, 338)(38, 377)(39, 348)(40, 341)(41, 378)(42, 339)(43, 379)(44, 340)(45, 342)(46, 343)(47, 345)(48, 384)(49, 385)(50, 386)(51, 387)(52, 352)(53, 389)(54, 356)(55, 357)(56, 359)(57, 393)(58, 394)(59, 395)(60, 364)(61, 365)(62, 366)(63, 367)(64, 400)(65, 401)(66, 402)(67, 403)(68, 372)(69, 405)(70, 374)(71, 375)(72, 376)(73, 409)(74, 410)(75, 411)(76, 380)(77, 381)(78, 382)(79, 383)(80, 416)(81, 417)(82, 418)(83, 419)(84, 388)(85, 421)(86, 390)(87, 391)(88, 392)(89, 425)(90, 426)(91, 427)(92, 396)(93, 397)(94, 398)(95, 399)(96, 432)(97, 433)(98, 434)(99, 435)(100, 404)(101, 437)(102, 406)(103, 407)(104, 408)(105, 441)(106, 442)(107, 443)(108, 412)(109, 413)(110, 414)(111, 415)(112, 448)(113, 449)(114, 450)(115, 451)(116, 420)(117, 453)(118, 422)(119, 423)(120, 424)(121, 457)(122, 458)(123, 459)(124, 428)(125, 429)(126, 430)(127, 431)(128, 464)(129, 465)(130, 466)(131, 467)(132, 436)(133, 469)(134, 438)(135, 439)(136, 440)(137, 473)(138, 474)(139, 475)(140, 444)(141, 445)(142, 446)(143, 447)(144, 472)(145, 478)(146, 477)(147, 476)(148, 452)(149, 479)(150, 454)(151, 455)(152, 456)(153, 462)(154, 468)(155, 480)(156, 460)(157, 461)(158, 463)(159, 471)(160, 470)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E19.2215
Graph:: bipartite
	v = 44 e = 320 f = 240
	degree seq :: [ 8^40, 80^4 ]

E19.2215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = (C5 x (C8 : C2)) : C2 (small group id <160, 32>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, Y3^-3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^18 * Y2 * Y3^-2 * Y2, (Y3^-1 * Y1^-1)^40 ]
Map:: polytopal
	R = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)(321, 481, 322, 482)(323, 483, 327, 487)(324, 484, 329, 489)(325, 485, 331, 491)(326, 486, 333, 493)(328, 488, 337, 497)(330, 490, 341, 501)(332, 492, 345, 505)(334, 494, 349, 509)(335, 495, 348, 508)(336, 496, 352, 512)(338, 498, 356, 516)(339, 499, 358, 518)(340, 500, 343, 503)(342, 502, 363, 523)(344, 504, 366, 526)(346, 506, 370, 530)(347, 507, 372, 532)(350, 510, 377, 537)(351, 511, 368, 528)(353, 513, 375, 535)(354, 514, 365, 525)(355, 515, 373, 533)(357, 517, 378, 538)(359, 519, 369, 529)(360, 520, 376, 536)(361, 521, 367, 527)(362, 522, 374, 534)(364, 524, 371, 531)(379, 539, 393, 553)(380, 540, 389, 549)(381, 541, 394, 554)(382, 542, 395, 555)(383, 543, 397, 557)(384, 544, 388, 548)(385, 545, 390, 550)(386, 546, 391, 551)(387, 547, 401, 561)(392, 552, 405, 565)(396, 556, 409, 569)(398, 558, 411, 571)(399, 559, 410, 570)(400, 560, 414, 574)(402, 562, 407, 567)(403, 563, 406, 566)(404, 564, 418, 578)(408, 568, 422, 582)(412, 572, 426, 586)(413, 573, 427, 587)(415, 575, 425, 585)(416, 576, 431, 591)(417, 577, 423, 583)(419, 579, 421, 581)(420, 580, 435, 595)(424, 584, 439, 599)(428, 588, 443, 603)(429, 589, 442, 602)(430, 590, 441, 601)(432, 592, 444, 604)(433, 593, 438, 598)(434, 594, 437, 597)(436, 596, 440, 600)(445, 605, 457, 617)(446, 606, 458, 618)(447, 607, 459, 619)(448, 608, 461, 621)(449, 609, 453, 613)(450, 610, 454, 614)(451, 611, 455, 615)(452, 612, 465, 625)(456, 616, 469, 629)(460, 620, 473, 633)(462, 622, 475, 635)(463, 623, 474, 634)(464, 624, 472, 632)(466, 626, 471, 631)(467, 627, 470, 630)(468, 628, 476, 636)(477, 637, 480, 640)(478, 638, 479, 639)
	L = (1, 323)(2, 325)(3, 328)(4, 321)(5, 332)(6, 322)(7, 335)(8, 338)(9, 339)(10, 324)(11, 343)(12, 346)(13, 347)(14, 326)(15, 351)(16, 327)(17, 354)(18, 357)(19, 359)(20, 329)(21, 361)(22, 330)(23, 365)(24, 331)(25, 368)(26, 371)(27, 373)(28, 333)(29, 375)(30, 334)(31, 366)(32, 377)(33, 336)(34, 380)(35, 337)(36, 372)(37, 383)(38, 374)(39, 384)(40, 340)(41, 385)(42, 341)(43, 386)(44, 342)(45, 352)(46, 363)(47, 344)(48, 389)(49, 345)(50, 358)(51, 392)(52, 360)(53, 393)(54, 348)(55, 394)(56, 349)(57, 395)(58, 350)(59, 353)(60, 362)(61, 355)(62, 356)(63, 400)(64, 401)(65, 402)(66, 403)(67, 364)(68, 367)(69, 376)(70, 369)(71, 370)(72, 408)(73, 409)(74, 410)(75, 411)(76, 378)(77, 379)(78, 381)(79, 382)(80, 416)(81, 417)(82, 418)(83, 419)(84, 387)(85, 388)(86, 390)(87, 391)(88, 424)(89, 425)(90, 426)(91, 427)(92, 396)(93, 397)(94, 398)(95, 399)(96, 432)(97, 433)(98, 434)(99, 435)(100, 404)(101, 405)(102, 406)(103, 407)(104, 440)(105, 441)(106, 442)(107, 443)(108, 412)(109, 413)(110, 414)(111, 415)(112, 448)(113, 449)(114, 450)(115, 451)(116, 420)(117, 421)(118, 422)(119, 423)(120, 456)(121, 457)(122, 458)(123, 459)(124, 428)(125, 429)(126, 430)(127, 431)(128, 464)(129, 465)(130, 466)(131, 467)(132, 436)(133, 437)(134, 438)(135, 439)(136, 472)(137, 473)(138, 474)(139, 475)(140, 444)(141, 445)(142, 446)(143, 447)(144, 470)(145, 477)(146, 476)(147, 478)(148, 452)(149, 453)(150, 454)(151, 455)(152, 462)(153, 479)(154, 468)(155, 480)(156, 460)(157, 461)(158, 463)(159, 469)(160, 471)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 8, 80 ), ( 8, 80, 8, 80 ) }
Outer automorphisms :: reflexible
Dual of E19.2214
Graph:: simple bipartite
	v = 240 e = 320 f = 44
	degree seq :: [ 2^160, 4^80 ]

E19.2216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = (C5 x (C8 : C2)) : C2 (small group id <160, 32>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y1^-1 * Y3)^4, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-3, Y1^-1 * Y3 * Y1^10 * Y3 * Y1^-9, Y1^40 ]
Map:: polytopal
	R = (1, 161, 2, 162, 5, 165, 11, 171, 23, 183, 45, 205, 68, 228, 85, 245, 101, 261, 117, 277, 133, 293, 149, 309, 143, 303, 127, 287, 110, 270, 96, 256, 79, 239, 61, 221, 32, 192, 54, 214, 73, 233, 63, 223, 36, 196, 57, 217, 75, 235, 91, 251, 107, 267, 123, 283, 139, 299, 155, 315, 148, 308, 132, 292, 116, 276, 100, 260, 84, 244, 67, 227, 44, 204, 22, 182, 10, 170, 4, 164)(3, 163, 7, 167, 15, 175, 31, 191, 59, 219, 77, 237, 93, 253, 109, 269, 125, 285, 141, 301, 150, 310, 140, 300, 121, 281, 103, 263, 86, 246, 76, 236, 52, 212, 26, 186, 12, 172, 25, 185, 49, 209, 42, 202, 21, 181, 41, 201, 65, 225, 82, 242, 98, 258, 114, 274, 130, 290, 146, 306, 153, 313, 135, 295, 118, 278, 108, 268, 89, 249, 70, 230, 46, 206, 37, 197, 18, 178, 8, 168)(6, 166, 13, 173, 27, 187, 53, 213, 43, 203, 66, 226, 83, 243, 99, 259, 115, 275, 131, 291, 147, 307, 156, 316, 137, 297, 119, 279, 102, 262, 92, 252, 72, 232, 48, 208, 24, 184, 47, 207, 40, 200, 20, 180, 9, 169, 19, 179, 38, 198, 64, 224, 81, 241, 97, 257, 113, 273, 129, 289, 145, 305, 151, 311, 134, 294, 124, 284, 105, 265, 87, 247, 69, 229, 58, 218, 30, 190, 14, 174)(16, 176, 33, 193, 50, 210, 29, 189, 56, 216, 71, 231, 90, 250, 104, 264, 122, 282, 136, 296, 154, 314, 159, 319, 158, 318, 142, 302, 126, 286, 112, 272, 95, 255, 78, 238, 60, 220, 39, 199, 55, 215, 28, 188, 17, 177, 35, 195, 51, 211, 74, 234, 88, 248, 106, 266, 120, 280, 138, 298, 152, 312, 160, 320, 157, 317, 144, 304, 128, 288, 111, 271, 94, 254, 80, 240, 62, 222, 34, 194)(321, 481)(322, 482)(323, 483)(324, 484)(325, 485)(326, 486)(327, 487)(328, 488)(329, 489)(330, 490)(331, 491)(332, 492)(333, 493)(334, 494)(335, 495)(336, 496)(337, 497)(338, 498)(339, 499)(340, 500)(341, 501)(342, 502)(343, 503)(344, 504)(345, 505)(346, 506)(347, 507)(348, 508)(349, 509)(350, 510)(351, 511)(352, 512)(353, 513)(354, 514)(355, 515)(356, 516)(357, 517)(358, 518)(359, 519)(360, 520)(361, 521)(362, 522)(363, 523)(364, 524)(365, 525)(366, 526)(367, 527)(368, 528)(369, 529)(370, 530)(371, 531)(372, 532)(373, 533)(374, 534)(375, 535)(376, 536)(377, 537)(378, 538)(379, 539)(380, 540)(381, 541)(382, 542)(383, 543)(384, 544)(385, 545)(386, 546)(387, 547)(388, 548)(389, 549)(390, 550)(391, 551)(392, 552)(393, 553)(394, 554)(395, 555)(396, 556)(397, 557)(398, 558)(399, 559)(400, 560)(401, 561)(402, 562)(403, 563)(404, 564)(405, 565)(406, 566)(407, 567)(408, 568)(409, 569)(410, 570)(411, 571)(412, 572)(413, 573)(414, 574)(415, 575)(416, 576)(417, 577)(418, 578)(419, 579)(420, 580)(421, 581)(422, 582)(423, 583)(424, 584)(425, 585)(426, 586)(427, 587)(428, 588)(429, 589)(430, 590)(431, 591)(432, 592)(433, 593)(434, 594)(435, 595)(436, 596)(437, 597)(438, 598)(439, 599)(440, 600)(441, 601)(442, 602)(443, 603)(444, 604)(445, 605)(446, 606)(447, 607)(448, 608)(449, 609)(450, 610)(451, 611)(452, 612)(453, 613)(454, 614)(455, 615)(456, 616)(457, 617)(458, 618)(459, 619)(460, 620)(461, 621)(462, 622)(463, 623)(464, 624)(465, 625)(466, 626)(467, 627)(468, 628)(469, 629)(470, 630)(471, 631)(472, 632)(473, 633)(474, 634)(475, 635)(476, 636)(477, 637)(478, 638)(479, 639)(480, 640)
	L = (1, 323)(2, 326)(3, 321)(4, 329)(5, 332)(6, 322)(7, 336)(8, 337)(9, 324)(10, 341)(11, 344)(12, 325)(13, 348)(14, 349)(15, 352)(16, 327)(17, 328)(18, 356)(19, 359)(20, 353)(21, 330)(22, 363)(23, 366)(24, 331)(25, 370)(26, 371)(27, 374)(28, 333)(29, 334)(30, 377)(31, 380)(32, 335)(33, 340)(34, 373)(35, 367)(36, 338)(37, 376)(38, 381)(39, 339)(40, 383)(41, 382)(42, 375)(43, 342)(44, 379)(45, 389)(46, 343)(47, 355)(48, 391)(49, 393)(50, 345)(51, 346)(52, 395)(53, 354)(54, 347)(55, 362)(56, 357)(57, 350)(58, 394)(59, 364)(60, 351)(61, 358)(62, 361)(63, 360)(64, 400)(65, 399)(66, 398)(67, 401)(68, 406)(69, 365)(70, 408)(71, 368)(72, 411)(73, 369)(74, 378)(75, 372)(76, 410)(77, 414)(78, 386)(79, 385)(80, 384)(81, 387)(82, 415)(83, 416)(84, 418)(85, 422)(86, 388)(87, 424)(88, 390)(89, 427)(90, 396)(91, 392)(92, 426)(93, 430)(94, 397)(95, 402)(96, 403)(97, 432)(98, 404)(99, 431)(100, 435)(101, 438)(102, 405)(103, 440)(104, 407)(105, 443)(106, 412)(107, 409)(108, 442)(109, 446)(110, 413)(111, 419)(112, 417)(113, 447)(114, 448)(115, 420)(116, 445)(117, 454)(118, 421)(119, 456)(120, 423)(121, 459)(122, 428)(123, 425)(124, 458)(125, 436)(126, 429)(127, 433)(128, 434)(129, 464)(130, 463)(131, 462)(132, 465)(133, 470)(134, 437)(135, 472)(136, 439)(137, 475)(138, 444)(139, 441)(140, 474)(141, 477)(142, 451)(143, 450)(144, 449)(145, 452)(146, 478)(147, 469)(148, 473)(149, 467)(150, 453)(151, 479)(152, 455)(153, 468)(154, 460)(155, 457)(156, 480)(157, 461)(158, 466)(159, 471)(160, 476)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E19.2213
Graph:: simple bipartite
	v = 164 e = 320 f = 120
	degree seq :: [ 2^160, 80^4 ]

E19.2217 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = (C5 x (C8 : C2)) : C2 (small group id <160, 32>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|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 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1, (Y2^4 * Y1)^2, Y2^6 * Y1 * Y2^-14 * Y1, (Y2^-1 * R * Y2^-9)^2 ]
Map::
	R = (1, 161, 2, 162)(3, 163, 7, 167)(4, 164, 9, 169)(5, 165, 11, 171)(6, 166, 13, 173)(8, 168, 17, 177)(10, 170, 21, 181)(12, 172, 25, 185)(14, 174, 29, 189)(15, 175, 28, 188)(16, 176, 32, 192)(18, 178, 36, 196)(19, 179, 38, 198)(20, 180, 23, 183)(22, 182, 43, 203)(24, 184, 46, 206)(26, 186, 50, 210)(27, 187, 52, 212)(30, 190, 57, 217)(31, 191, 48, 208)(33, 193, 55, 215)(34, 194, 45, 205)(35, 195, 53, 213)(37, 197, 58, 218)(39, 199, 49, 209)(40, 200, 56, 216)(41, 201, 47, 207)(42, 202, 54, 214)(44, 204, 51, 211)(59, 219, 73, 233)(60, 220, 69, 229)(61, 221, 74, 234)(62, 222, 75, 235)(63, 223, 77, 237)(64, 224, 68, 228)(65, 225, 70, 230)(66, 226, 71, 231)(67, 227, 81, 241)(72, 232, 85, 245)(76, 236, 89, 249)(78, 238, 91, 251)(79, 239, 90, 250)(80, 240, 94, 254)(82, 242, 87, 247)(83, 243, 86, 246)(84, 244, 98, 258)(88, 248, 102, 262)(92, 252, 106, 266)(93, 253, 107, 267)(95, 255, 105, 265)(96, 256, 111, 271)(97, 257, 103, 263)(99, 259, 101, 261)(100, 260, 115, 275)(104, 264, 119, 279)(108, 268, 123, 283)(109, 269, 122, 282)(110, 270, 121, 281)(112, 272, 124, 284)(113, 273, 118, 278)(114, 274, 117, 277)(116, 276, 120, 280)(125, 285, 137, 297)(126, 286, 138, 298)(127, 287, 139, 299)(128, 288, 141, 301)(129, 289, 133, 293)(130, 290, 134, 294)(131, 291, 135, 295)(132, 292, 145, 305)(136, 296, 149, 309)(140, 300, 153, 313)(142, 302, 155, 315)(143, 303, 154, 314)(144, 304, 152, 312)(146, 306, 151, 311)(147, 307, 150, 310)(148, 308, 156, 316)(157, 317, 160, 320)(158, 318, 159, 319)(321, 481, 323, 483, 328, 488, 338, 498, 357, 517, 383, 543, 400, 560, 416, 576, 432, 592, 448, 608, 464, 624, 470, 630, 454, 614, 438, 598, 422, 582, 406, 566, 390, 550, 369, 529, 345, 505, 368, 528, 389, 549, 376, 536, 349, 509, 375, 535, 394, 554, 410, 570, 426, 586, 442, 602, 458, 618, 474, 634, 468, 628, 452, 612, 436, 596, 420, 580, 404, 564, 387, 547, 364, 524, 342, 502, 330, 490, 324, 484)(322, 482, 325, 485, 332, 492, 346, 506, 371, 531, 392, 552, 408, 568, 424, 584, 440, 600, 456, 616, 472, 632, 462, 622, 446, 606, 430, 590, 414, 574, 398, 558, 381, 541, 355, 515, 337, 497, 354, 514, 380, 540, 362, 522, 341, 501, 361, 521, 385, 545, 402, 562, 418, 578, 434, 594, 450, 610, 466, 626, 476, 636, 460, 620, 444, 604, 428, 588, 412, 572, 396, 556, 378, 538, 350, 510, 334, 494, 326, 486)(327, 487, 335, 495, 351, 511, 366, 526, 363, 523, 386, 546, 403, 563, 419, 579, 435, 595, 451, 611, 467, 627, 478, 638, 463, 623, 447, 607, 431, 591, 415, 575, 399, 559, 382, 542, 356, 516, 372, 532, 360, 520, 340, 500, 329, 489, 339, 499, 359, 519, 384, 544, 401, 561, 417, 577, 433, 593, 449, 609, 465, 625, 477, 637, 461, 621, 445, 605, 429, 589, 413, 573, 397, 557, 379, 539, 353, 513, 336, 496)(331, 491, 343, 503, 365, 525, 352, 512, 377, 537, 395, 555, 411, 571, 427, 587, 443, 603, 459, 619, 475, 635, 480, 640, 471, 631, 455, 615, 439, 599, 423, 583, 407, 567, 391, 551, 370, 530, 358, 518, 374, 534, 348, 508, 333, 493, 347, 507, 373, 533, 393, 553, 409, 569, 425, 585, 441, 601, 457, 617, 473, 633, 479, 639, 469, 629, 453, 613, 437, 597, 421, 581, 405, 565, 388, 548, 367, 527, 344, 504)
	L = (1, 322)(2, 321)(3, 327)(4, 329)(5, 331)(6, 333)(7, 323)(8, 337)(9, 324)(10, 341)(11, 325)(12, 345)(13, 326)(14, 349)(15, 348)(16, 352)(17, 328)(18, 356)(19, 358)(20, 343)(21, 330)(22, 363)(23, 340)(24, 366)(25, 332)(26, 370)(27, 372)(28, 335)(29, 334)(30, 377)(31, 368)(32, 336)(33, 375)(34, 365)(35, 373)(36, 338)(37, 378)(38, 339)(39, 369)(40, 376)(41, 367)(42, 374)(43, 342)(44, 371)(45, 354)(46, 344)(47, 361)(48, 351)(49, 359)(50, 346)(51, 364)(52, 347)(53, 355)(54, 362)(55, 353)(56, 360)(57, 350)(58, 357)(59, 393)(60, 389)(61, 394)(62, 395)(63, 397)(64, 388)(65, 390)(66, 391)(67, 401)(68, 384)(69, 380)(70, 385)(71, 386)(72, 405)(73, 379)(74, 381)(75, 382)(76, 409)(77, 383)(78, 411)(79, 410)(80, 414)(81, 387)(82, 407)(83, 406)(84, 418)(85, 392)(86, 403)(87, 402)(88, 422)(89, 396)(90, 399)(91, 398)(92, 426)(93, 427)(94, 400)(95, 425)(96, 431)(97, 423)(98, 404)(99, 421)(100, 435)(101, 419)(102, 408)(103, 417)(104, 439)(105, 415)(106, 412)(107, 413)(108, 443)(109, 442)(110, 441)(111, 416)(112, 444)(113, 438)(114, 437)(115, 420)(116, 440)(117, 434)(118, 433)(119, 424)(120, 436)(121, 430)(122, 429)(123, 428)(124, 432)(125, 457)(126, 458)(127, 459)(128, 461)(129, 453)(130, 454)(131, 455)(132, 465)(133, 449)(134, 450)(135, 451)(136, 469)(137, 445)(138, 446)(139, 447)(140, 473)(141, 448)(142, 475)(143, 474)(144, 472)(145, 452)(146, 471)(147, 470)(148, 476)(149, 456)(150, 467)(151, 466)(152, 464)(153, 460)(154, 463)(155, 462)(156, 468)(157, 480)(158, 479)(159, 478)(160, 477)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E19.2218
Graph:: bipartite
	v = 84 e = 320 f = 200
	degree seq :: [ 4^80, 80^4 ]

E19.2218 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = (C5 x (C8 : C2)) : C2 (small group id <160, 32>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1^-1)^4, (Y3^-3 * Y1)^2, Y3^-3 * Y1 * Y3^15 * Y1 * Y3^-2, (Y3 * Y2^-1)^40 ]
Map:: polytopal
	R = (1, 161, 2, 162, 6, 166, 4, 164)(3, 163, 9, 169, 21, 181, 11, 171)(5, 165, 13, 173, 18, 178, 7, 167)(8, 168, 19, 179, 34, 194, 15, 175)(10, 170, 23, 183, 33, 193, 25, 185)(12, 172, 16, 176, 35, 195, 28, 188)(14, 174, 31, 191, 36, 196, 29, 189)(17, 177, 37, 197, 27, 187, 39, 199)(20, 180, 43, 203, 22, 182, 41, 201)(24, 184, 47, 207, 59, 219, 44, 204)(26, 186, 40, 200, 30, 190, 42, 202)(32, 192, 49, 209, 55, 215, 51, 211)(38, 198, 56, 216, 50, 210, 54, 214)(45, 205, 53, 213, 46, 206, 58, 218)(48, 208, 60, 220, 69, 229, 61, 221)(52, 212, 57, 217, 70, 230, 65, 225)(62, 222, 75, 235, 63, 223, 74, 234)(64, 224, 77, 237, 91, 251, 78, 238)(66, 226, 72, 232, 67, 227, 71, 231)(68, 228, 82, 242, 87, 247, 73, 233)(76, 236, 90, 250, 79, 239, 85, 245)(80, 240, 94, 254, 101, 261, 95, 255)(81, 241, 86, 246, 83, 243, 88, 248)(84, 244, 99, 259, 102, 262, 98, 258)(89, 249, 103, 263, 97, 257, 104, 264)(92, 252, 107, 267, 93, 253, 106, 266)(96, 256, 111, 271, 123, 283, 108, 268)(100, 260, 113, 273, 119, 279, 115, 275)(105, 265, 120, 280, 114, 274, 118, 278)(109, 269, 117, 277, 110, 270, 122, 282)(112, 272, 124, 284, 133, 293, 125, 285)(116, 276, 121, 281, 134, 294, 129, 289)(126, 286, 139, 299, 127, 287, 138, 298)(128, 288, 141, 301, 155, 315, 142, 302)(130, 290, 136, 296, 131, 291, 135, 295)(132, 292, 146, 306, 151, 311, 137, 297)(140, 300, 154, 314, 143, 303, 149, 309)(144, 304, 153, 313, 159, 319, 158, 318)(145, 305, 150, 310, 147, 307, 152, 312)(148, 308, 156, 316, 160, 320, 157, 317)(321, 481)(322, 482)(323, 483)(324, 484)(325, 485)(326, 486)(327, 487)(328, 488)(329, 489)(330, 490)(331, 491)(332, 492)(333, 493)(334, 494)(335, 495)(336, 496)(337, 497)(338, 498)(339, 499)(340, 500)(341, 501)(342, 502)(343, 503)(344, 504)(345, 505)(346, 506)(347, 507)(348, 508)(349, 509)(350, 510)(351, 511)(352, 512)(353, 513)(354, 514)(355, 515)(356, 516)(357, 517)(358, 518)(359, 519)(360, 520)(361, 521)(362, 522)(363, 523)(364, 524)(365, 525)(366, 526)(367, 527)(368, 528)(369, 529)(370, 530)(371, 531)(372, 532)(373, 533)(374, 534)(375, 535)(376, 536)(377, 537)(378, 538)(379, 539)(380, 540)(381, 541)(382, 542)(383, 543)(384, 544)(385, 545)(386, 546)(387, 547)(388, 548)(389, 549)(390, 550)(391, 551)(392, 552)(393, 553)(394, 554)(395, 555)(396, 556)(397, 557)(398, 558)(399, 559)(400, 560)(401, 561)(402, 562)(403, 563)(404, 564)(405, 565)(406, 566)(407, 567)(408, 568)(409, 569)(410, 570)(411, 571)(412, 572)(413, 573)(414, 574)(415, 575)(416, 576)(417, 577)(418, 578)(419, 579)(420, 580)(421, 581)(422, 582)(423, 583)(424, 584)(425, 585)(426, 586)(427, 587)(428, 588)(429, 589)(430, 590)(431, 591)(432, 592)(433, 593)(434, 594)(435, 595)(436, 596)(437, 597)(438, 598)(439, 599)(440, 600)(441, 601)(442, 602)(443, 603)(444, 604)(445, 605)(446, 606)(447, 607)(448, 608)(449, 609)(450, 610)(451, 611)(452, 612)(453, 613)(454, 614)(455, 615)(456, 616)(457, 617)(458, 618)(459, 619)(460, 620)(461, 621)(462, 622)(463, 623)(464, 624)(465, 625)(466, 626)(467, 627)(468, 628)(469, 629)(470, 630)(471, 631)(472, 632)(473, 633)(474, 634)(475, 635)(476, 636)(477, 637)(478, 638)(479, 639)(480, 640)
	L = (1, 323)(2, 327)(3, 330)(4, 332)(5, 321)(6, 335)(7, 337)(8, 322)(9, 324)(10, 344)(11, 346)(12, 347)(13, 349)(14, 325)(15, 353)(16, 326)(17, 358)(18, 360)(19, 361)(20, 328)(21, 363)(22, 329)(23, 331)(24, 368)(25, 354)(26, 355)(27, 369)(28, 362)(29, 370)(30, 333)(31, 371)(32, 334)(33, 373)(34, 350)(35, 351)(36, 336)(37, 338)(38, 377)(39, 348)(40, 341)(41, 378)(42, 339)(43, 379)(44, 340)(45, 342)(46, 343)(47, 345)(48, 384)(49, 385)(50, 386)(51, 387)(52, 352)(53, 389)(54, 356)(55, 357)(56, 359)(57, 393)(58, 394)(59, 395)(60, 364)(61, 365)(62, 366)(63, 367)(64, 400)(65, 401)(66, 402)(67, 403)(68, 372)(69, 405)(70, 374)(71, 375)(72, 376)(73, 409)(74, 410)(75, 411)(76, 380)(77, 381)(78, 382)(79, 383)(80, 416)(81, 417)(82, 418)(83, 419)(84, 388)(85, 421)(86, 390)(87, 391)(88, 392)(89, 425)(90, 426)(91, 427)(92, 396)(93, 397)(94, 398)(95, 399)(96, 432)(97, 433)(98, 434)(99, 435)(100, 404)(101, 437)(102, 406)(103, 407)(104, 408)(105, 441)(106, 442)(107, 443)(108, 412)(109, 413)(110, 414)(111, 415)(112, 448)(113, 449)(114, 450)(115, 451)(116, 420)(117, 453)(118, 422)(119, 423)(120, 424)(121, 457)(122, 458)(123, 459)(124, 428)(125, 429)(126, 430)(127, 431)(128, 464)(129, 465)(130, 466)(131, 467)(132, 436)(133, 469)(134, 438)(135, 439)(136, 440)(137, 473)(138, 474)(139, 475)(140, 444)(141, 445)(142, 446)(143, 447)(144, 472)(145, 478)(146, 477)(147, 476)(148, 452)(149, 479)(150, 454)(151, 455)(152, 456)(153, 462)(154, 468)(155, 480)(156, 460)(157, 461)(158, 463)(159, 471)(160, 470)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 80 ), ( 4, 80, 4, 80, 4, 80, 4, 80 ) }
Outer automorphisms :: reflexible
Dual of E19.2217
Graph:: simple bipartite
	v = 200 e = 320 f = 84
	degree seq :: [ 2^160, 8^40 ]

E19.2219 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 9})
Quotient :: regular
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 5>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^3)^2, T1^9, (T1^-1 * T2)^6, T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^2 * T2, (T2 * T1 * T2 * T1 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 42, 22, 10, 4)(3, 7, 15, 31, 54, 44, 24, 18, 8)(6, 13, 27, 21, 41, 71, 43, 30, 14)(9, 19, 38, 65, 47, 26, 12, 25, 20)(16, 33, 57, 37, 64, 103, 89, 60, 34)(17, 35, 61, 73, 92, 56, 32, 55, 36)(28, 49, 81, 53, 88, 112, 72, 84, 50)(29, 51, 85, 111, 120, 80, 48, 79, 52)(39, 67, 75, 45, 74, 113, 78, 109, 68)(40, 69, 77, 46, 76, 106, 66, 105, 70)(58, 94, 134, 98, 138, 142, 104, 117, 95)(59, 96, 136, 128, 86, 127, 93, 118, 97)(62, 100, 115, 90, 131, 108, 133, 140, 101)(63, 102, 125, 91, 132, 130, 99, 122, 82)(83, 123, 149, 144, 116, 146, 121, 110, 124)(87, 129, 107, 119, 147, 143, 126, 145, 114)(135, 148, 159, 158, 154, 161, 155, 141, 152)(137, 150, 139, 151, 160, 157, 156, 162, 153)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 39)(20, 40)(22, 31)(23, 43)(25, 45)(26, 46)(27, 48)(30, 53)(33, 58)(34, 59)(35, 62)(36, 63)(38, 66)(41, 72)(42, 65)(44, 73)(47, 78)(49, 82)(50, 83)(51, 86)(52, 87)(54, 89)(55, 90)(56, 91)(57, 93)(60, 98)(61, 99)(64, 104)(67, 107)(68, 108)(69, 110)(70, 94)(71, 111)(74, 114)(75, 115)(76, 116)(77, 117)(79, 118)(80, 119)(81, 121)(84, 125)(85, 126)(88, 130)(92, 133)(95, 135)(96, 120)(97, 137)(100, 139)(101, 113)(102, 141)(103, 128)(105, 123)(106, 138)(109, 143)(112, 144)(122, 148)(124, 150)(127, 151)(129, 152)(131, 153)(132, 154)(134, 155)(136, 156)(140, 157)(142, 158)(145, 159)(146, 160)(147, 161)(149, 162)
	local type(s) :: { ( 6^9 ) }
Outer automorphisms :: reflexible
Dual of E19.2220
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 81 f = 27
	degree seq :: [ 9^18 ]

E19.2220 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 9})
Quotient :: regular
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 5>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1 * T2 * T1^-2)^2, T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^3 * T2 * T1^-1, (T1 * T2)^9 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 58, 94, 61, 32)(17, 33, 62, 80, 45, 34)(21, 40, 71, 99, 73, 41)(22, 42, 74, 106, 77, 43)(26, 50, 38, 70, 88, 51)(27, 52, 89, 107, 75, 53)(30, 56, 79, 54, 92, 57)(35, 65, 83, 67, 85, 49)(37, 68, 76, 108, 84, 69)(46, 81, 55, 93, 72, 82)(59, 95, 64, 102, 111, 96)(60, 97, 109, 132, 119, 98)(63, 100, 110, 133, 120, 101)(86, 112, 91, 118, 103, 113)(87, 114, 130, 128, 104, 115)(90, 116, 131, 129, 105, 117)(121, 141, 124, 147, 125, 142)(122, 143, 152, 148, 126, 144)(123, 145, 153, 149, 127, 146)(134, 154, 137, 160, 138, 155)(135, 156, 150, 161, 139, 157)(136, 158, 151, 162, 140, 159)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 67)(39, 56)(40, 72)(41, 58)(42, 75)(43, 76)(44, 79)(47, 83)(48, 84)(50, 86)(51, 87)(52, 90)(53, 91)(57, 77)(61, 78)(62, 99)(65, 74)(66, 89)(68, 103)(69, 104)(70, 105)(71, 92)(73, 85)(80, 109)(81, 110)(82, 111)(88, 106)(93, 119)(94, 120)(95, 121)(96, 122)(97, 123)(98, 124)(100, 125)(101, 126)(102, 127)(107, 130)(108, 131)(112, 134)(113, 135)(114, 136)(115, 137)(116, 138)(117, 139)(118, 140)(128, 150)(129, 151)(132, 152)(133, 153)(141, 157)(142, 154)(143, 162)(144, 156)(145, 161)(146, 155)(147, 158)(148, 160)(149, 159)
	local type(s) :: { ( 9^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2219
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 27 e = 81 f = 18
	degree seq :: [ 6^27 ]

E19.2221 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 9})
Quotient :: edge
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 5>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2 * T1 * T2^2)^2, T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2^3 * T1 * T2^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 57, 32, 16)(9, 19, 37, 69, 39, 20)(11, 22, 43, 76, 45, 23)(13, 26, 50, 88, 52, 27)(17, 33, 61, 79, 63, 34)(21, 40, 72, 87, 73, 41)(24, 46, 80, 60, 82, 47)(28, 53, 91, 68, 92, 54)(29, 55, 38, 70, 95, 56)(31, 58, 98, 126, 100, 59)(35, 64, 90, 114, 81, 65)(36, 66, 102, 123, 96, 67)(42, 74, 51, 89, 108, 75)(44, 77, 111, 137, 113, 78)(48, 83, 71, 101, 62, 84)(49, 85, 115, 134, 109, 86)(93, 119, 99, 127, 103, 120)(94, 121, 144, 128, 104, 122)(97, 124, 146, 129, 105, 125)(106, 130, 112, 138, 116, 131)(107, 132, 155, 139, 117, 133)(110, 135, 157, 140, 118, 136)(141, 153, 145, 161, 147, 159)(142, 156, 150, 158, 148, 152)(143, 160, 151, 154, 149, 162)(163, 164)(165, 169)(166, 171)(167, 173)(168, 175)(170, 179)(172, 183)(174, 186)(176, 190)(177, 191)(178, 193)(180, 197)(181, 198)(182, 200)(184, 204)(185, 206)(187, 210)(188, 211)(189, 213)(192, 216)(194, 222)(195, 214)(196, 224)(199, 230)(201, 208)(202, 233)(203, 205)(207, 241)(209, 243)(212, 249)(215, 252)(217, 255)(218, 256)(219, 258)(220, 259)(221, 261)(223, 242)(225, 253)(226, 262)(227, 264)(228, 265)(229, 266)(231, 260)(232, 267)(234, 244)(235, 254)(236, 268)(237, 269)(238, 271)(239, 272)(240, 274)(245, 275)(246, 277)(247, 278)(248, 279)(250, 273)(251, 280)(257, 276)(263, 270)(281, 303)(282, 304)(283, 305)(284, 307)(285, 308)(286, 309)(287, 310)(288, 306)(289, 311)(290, 312)(291, 313)(292, 314)(293, 315)(294, 316)(295, 318)(296, 319)(297, 320)(298, 321)(299, 317)(300, 322)(301, 323)(302, 324)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 18, 18 ), ( 18^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2225
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 162 f = 18
	degree seq :: [ 2^81, 6^27 ]

E19.2222 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 9})
Quotient :: edge
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 5>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T1 * T2^-2)^2, T1^6, T2^9, T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 56, 69, 35, 15, 5)(2, 7, 19, 43, 83, 90, 48, 22, 8)(4, 12, 30, 63, 107, 96, 53, 24, 9)(6, 17, 38, 75, 119, 124, 80, 41, 18)(11, 27, 14, 34, 67, 110, 100, 55, 25)(13, 32, 52, 95, 134, 138, 104, 61, 29)(16, 36, 70, 112, 144, 146, 117, 73, 37)(20, 44, 21, 47, 88, 130, 127, 82, 42)(23, 50, 93, 132, 140, 106, 62, 31, 51)(28, 59, 99, 136, 142, 109, 68, 78, 57)(33, 58, 98, 54, 97, 135, 141, 108, 66)(39, 76, 40, 79, 122, 150, 148, 118, 74)(45, 86, 126, 152, 154, 129, 89, 115, 84)(46, 85, 64, 81, 125, 151, 153, 128, 87)(49, 91, 114, 105, 139, 158, 155, 131, 92)(60, 103, 137, 157, 156, 133, 94, 65, 101)(71, 113, 72, 116, 145, 160, 159, 143, 111)(77, 121, 147, 161, 162, 149, 123, 102, 120)(163, 164, 168, 178, 175, 166)(165, 171, 185, 211, 190, 173)(167, 176, 195, 207, 182, 169)(170, 183, 208, 239, 201, 179)(172, 187, 216, 251, 209, 184)(174, 191, 222, 264, 226, 193)(177, 192, 224, 267, 230, 196)(180, 202, 240, 276, 233, 198)(181, 204, 243, 285, 241, 203)(186, 214, 256, 283, 249, 212)(188, 210, 237, 279, 257, 215)(189, 219, 238, 282, 263, 220)(194, 199, 234, 277, 260, 227)(197, 205, 242, 274, 266, 225)(200, 236, 221, 254, 278, 235)(206, 246, 275, 253, 213, 247)(217, 261, 280, 309, 295, 259)(218, 258, 294, 317, 298, 262)(223, 232, 273, 248, 228, 265)(229, 271, 284, 311, 299, 270)(231, 272, 303, 314, 289, 245)(244, 288, 305, 301, 268, 287)(250, 291, 307, 293, 255, 290)(252, 292, 315, 323, 310, 281)(269, 300, 319, 324, 313, 302)(286, 312, 304, 320, 321, 306)(296, 308, 322, 316, 297, 318)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 4^6 ), ( 4^9 ) }
Outer automorphisms :: reflexible
Dual of E19.2226
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 162 f = 81
	degree seq :: [ 6^27, 9^18 ]

E19.2223 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 9})
Quotient :: edge
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 5>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^3)^2, T1^9, (T2 * T1^-1)^6, T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2 * T1 * T2 * T1 * T2 * T1^-2)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 39)(20, 40)(22, 31)(23, 43)(25, 45)(26, 46)(27, 48)(30, 53)(33, 58)(34, 59)(35, 62)(36, 63)(38, 66)(41, 72)(42, 65)(44, 73)(47, 78)(49, 82)(50, 83)(51, 86)(52, 87)(54, 89)(55, 90)(56, 91)(57, 93)(60, 98)(61, 99)(64, 104)(67, 107)(68, 108)(69, 110)(70, 94)(71, 111)(74, 114)(75, 115)(76, 116)(77, 117)(79, 118)(80, 119)(81, 121)(84, 125)(85, 126)(88, 130)(92, 133)(95, 135)(96, 120)(97, 137)(100, 139)(101, 113)(102, 141)(103, 128)(105, 123)(106, 138)(109, 143)(112, 144)(122, 148)(124, 150)(127, 151)(129, 152)(131, 153)(132, 154)(134, 155)(136, 156)(140, 157)(142, 158)(145, 159)(146, 160)(147, 161)(149, 162)(163, 164, 167, 173, 185, 204, 184, 172, 166)(165, 169, 177, 193, 216, 206, 186, 180, 170)(168, 175, 189, 183, 203, 233, 205, 192, 176)(171, 181, 200, 227, 209, 188, 174, 187, 182)(178, 195, 219, 199, 226, 265, 251, 222, 196)(179, 197, 223, 235, 254, 218, 194, 217, 198)(190, 211, 243, 215, 250, 274, 234, 246, 212)(191, 213, 247, 273, 282, 242, 210, 241, 214)(201, 229, 237, 207, 236, 275, 240, 271, 230)(202, 231, 239, 208, 238, 268, 228, 267, 232)(220, 256, 296, 260, 300, 304, 266, 279, 257)(221, 258, 298, 290, 248, 289, 255, 280, 259)(224, 262, 277, 252, 293, 270, 295, 302, 263)(225, 264, 287, 253, 294, 292, 261, 284, 244)(245, 285, 311, 306, 278, 308, 283, 272, 286)(249, 291, 269, 281, 309, 305, 288, 307, 276)(297, 310, 321, 320, 316, 323, 317, 303, 314)(299, 312, 301, 313, 322, 319, 318, 324, 315)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12, 12 ), ( 12^9 ) }
Outer automorphisms :: reflexible
Dual of E19.2224
Transitivity :: ET+
Graph:: simple bipartite
	v = 99 e = 162 f = 27
	degree seq :: [ 2^81, 9^18 ]

E19.2224 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 9})
Quotient :: loop
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 5>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2 * T1 * T2^2)^2, T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2^3 * T1 * T2^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 163, 3, 165, 8, 170, 18, 180, 10, 172, 4, 166)(2, 164, 5, 167, 12, 174, 25, 187, 14, 176, 6, 168)(7, 169, 15, 177, 30, 192, 57, 219, 32, 194, 16, 178)(9, 171, 19, 181, 37, 199, 69, 231, 39, 201, 20, 182)(11, 173, 22, 184, 43, 205, 76, 238, 45, 207, 23, 185)(13, 175, 26, 188, 50, 212, 88, 250, 52, 214, 27, 189)(17, 179, 33, 195, 61, 223, 79, 241, 63, 225, 34, 196)(21, 183, 40, 202, 72, 234, 87, 249, 73, 235, 41, 203)(24, 186, 46, 208, 80, 242, 60, 222, 82, 244, 47, 209)(28, 190, 53, 215, 91, 253, 68, 230, 92, 254, 54, 216)(29, 191, 55, 217, 38, 200, 70, 232, 95, 257, 56, 218)(31, 193, 58, 220, 98, 260, 126, 288, 100, 262, 59, 221)(35, 197, 64, 226, 90, 252, 114, 276, 81, 243, 65, 227)(36, 198, 66, 228, 102, 264, 123, 285, 96, 258, 67, 229)(42, 204, 74, 236, 51, 213, 89, 251, 108, 270, 75, 237)(44, 206, 77, 239, 111, 273, 137, 299, 113, 275, 78, 240)(48, 210, 83, 245, 71, 233, 101, 263, 62, 224, 84, 246)(49, 211, 85, 247, 115, 277, 134, 296, 109, 271, 86, 248)(93, 255, 119, 281, 99, 261, 127, 289, 103, 265, 120, 282)(94, 256, 121, 283, 144, 306, 128, 290, 104, 266, 122, 284)(97, 259, 124, 286, 146, 308, 129, 291, 105, 267, 125, 287)(106, 268, 130, 292, 112, 274, 138, 300, 116, 278, 131, 293)(107, 269, 132, 294, 155, 317, 139, 301, 117, 279, 133, 295)(110, 272, 135, 297, 157, 319, 140, 302, 118, 280, 136, 298)(141, 303, 153, 315, 145, 307, 161, 323, 147, 309, 159, 321)(142, 304, 156, 318, 150, 312, 158, 320, 148, 310, 152, 314)(143, 305, 160, 322, 151, 313, 154, 316, 149, 311, 162, 324)
	L = (1, 164)(2, 163)(3, 169)(4, 171)(5, 173)(6, 175)(7, 165)(8, 179)(9, 166)(10, 183)(11, 167)(12, 186)(13, 168)(14, 190)(15, 191)(16, 193)(17, 170)(18, 197)(19, 198)(20, 200)(21, 172)(22, 204)(23, 206)(24, 174)(25, 210)(26, 211)(27, 213)(28, 176)(29, 177)(30, 216)(31, 178)(32, 222)(33, 214)(34, 224)(35, 180)(36, 181)(37, 230)(38, 182)(39, 208)(40, 233)(41, 205)(42, 184)(43, 203)(44, 185)(45, 241)(46, 201)(47, 243)(48, 187)(49, 188)(50, 249)(51, 189)(52, 195)(53, 252)(54, 192)(55, 255)(56, 256)(57, 258)(58, 259)(59, 261)(60, 194)(61, 242)(62, 196)(63, 253)(64, 262)(65, 264)(66, 265)(67, 266)(68, 199)(69, 260)(70, 267)(71, 202)(72, 244)(73, 254)(74, 268)(75, 269)(76, 271)(77, 272)(78, 274)(79, 207)(80, 223)(81, 209)(82, 234)(83, 275)(84, 277)(85, 278)(86, 279)(87, 212)(88, 273)(89, 280)(90, 215)(91, 225)(92, 235)(93, 217)(94, 218)(95, 276)(96, 219)(97, 220)(98, 231)(99, 221)(100, 226)(101, 270)(102, 227)(103, 228)(104, 229)(105, 232)(106, 236)(107, 237)(108, 263)(109, 238)(110, 239)(111, 250)(112, 240)(113, 245)(114, 257)(115, 246)(116, 247)(117, 248)(118, 251)(119, 303)(120, 304)(121, 305)(122, 307)(123, 308)(124, 309)(125, 310)(126, 306)(127, 311)(128, 312)(129, 313)(130, 314)(131, 315)(132, 316)(133, 318)(134, 319)(135, 320)(136, 321)(137, 317)(138, 322)(139, 323)(140, 324)(141, 281)(142, 282)(143, 283)(144, 288)(145, 284)(146, 285)(147, 286)(148, 287)(149, 289)(150, 290)(151, 291)(152, 292)(153, 293)(154, 294)(155, 299)(156, 295)(157, 296)(158, 297)(159, 298)(160, 300)(161, 301)(162, 302)
	local type(s) :: { ( 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.2223
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 162 f = 99
	degree seq :: [ 12^27 ]

E19.2225 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 9})
Quotient :: loop
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 5>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T1 * T2^-2)^2, T1^6, T2^9, T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1 ]
Map::
	R = (1, 163, 3, 165, 10, 172, 26, 188, 56, 218, 69, 231, 35, 197, 15, 177, 5, 167)(2, 164, 7, 169, 19, 181, 43, 205, 83, 245, 90, 252, 48, 210, 22, 184, 8, 170)(4, 166, 12, 174, 30, 192, 63, 225, 107, 269, 96, 258, 53, 215, 24, 186, 9, 171)(6, 168, 17, 179, 38, 200, 75, 237, 119, 281, 124, 286, 80, 242, 41, 203, 18, 180)(11, 173, 27, 189, 14, 176, 34, 196, 67, 229, 110, 272, 100, 262, 55, 217, 25, 187)(13, 175, 32, 194, 52, 214, 95, 257, 134, 296, 138, 300, 104, 266, 61, 223, 29, 191)(16, 178, 36, 198, 70, 232, 112, 274, 144, 306, 146, 308, 117, 279, 73, 235, 37, 199)(20, 182, 44, 206, 21, 183, 47, 209, 88, 250, 130, 292, 127, 289, 82, 244, 42, 204)(23, 185, 50, 212, 93, 255, 132, 294, 140, 302, 106, 268, 62, 224, 31, 193, 51, 213)(28, 190, 59, 221, 99, 261, 136, 298, 142, 304, 109, 271, 68, 230, 78, 240, 57, 219)(33, 195, 58, 220, 98, 260, 54, 216, 97, 259, 135, 297, 141, 303, 108, 270, 66, 228)(39, 201, 76, 238, 40, 202, 79, 241, 122, 284, 150, 312, 148, 310, 118, 280, 74, 236)(45, 207, 86, 248, 126, 288, 152, 314, 154, 316, 129, 291, 89, 251, 115, 277, 84, 246)(46, 208, 85, 247, 64, 226, 81, 243, 125, 287, 151, 313, 153, 315, 128, 290, 87, 249)(49, 211, 91, 253, 114, 276, 105, 267, 139, 301, 158, 320, 155, 317, 131, 293, 92, 254)(60, 222, 103, 265, 137, 299, 157, 319, 156, 318, 133, 295, 94, 256, 65, 227, 101, 263)(71, 233, 113, 275, 72, 234, 116, 278, 145, 307, 160, 322, 159, 321, 143, 305, 111, 273)(77, 239, 121, 283, 147, 309, 161, 323, 162, 324, 149, 311, 123, 285, 102, 264, 120, 282)
	L = (1, 164)(2, 168)(3, 171)(4, 163)(5, 176)(6, 178)(7, 167)(8, 183)(9, 185)(10, 187)(11, 165)(12, 191)(13, 166)(14, 195)(15, 192)(16, 175)(17, 170)(18, 202)(19, 204)(20, 169)(21, 208)(22, 172)(23, 211)(24, 214)(25, 216)(26, 210)(27, 219)(28, 173)(29, 222)(30, 224)(31, 174)(32, 199)(33, 207)(34, 177)(35, 205)(36, 180)(37, 234)(38, 236)(39, 179)(40, 240)(41, 181)(42, 243)(43, 242)(44, 246)(45, 182)(46, 239)(47, 184)(48, 237)(49, 190)(50, 186)(51, 247)(52, 256)(53, 188)(54, 251)(55, 261)(56, 258)(57, 238)(58, 189)(59, 254)(60, 264)(61, 232)(62, 267)(63, 197)(64, 193)(65, 194)(66, 265)(67, 271)(68, 196)(69, 272)(70, 273)(71, 198)(72, 277)(73, 200)(74, 221)(75, 279)(76, 282)(77, 201)(78, 276)(79, 203)(80, 274)(81, 285)(82, 288)(83, 231)(84, 275)(85, 206)(86, 228)(87, 212)(88, 291)(89, 209)(90, 292)(91, 213)(92, 278)(93, 290)(94, 283)(95, 215)(96, 294)(97, 217)(98, 227)(99, 280)(100, 218)(101, 220)(102, 226)(103, 223)(104, 225)(105, 230)(106, 287)(107, 300)(108, 229)(109, 284)(110, 303)(111, 248)(112, 266)(113, 253)(114, 233)(115, 260)(116, 235)(117, 257)(118, 309)(119, 252)(120, 263)(121, 249)(122, 311)(123, 241)(124, 312)(125, 244)(126, 305)(127, 245)(128, 250)(129, 307)(130, 315)(131, 255)(132, 317)(133, 259)(134, 308)(135, 318)(136, 262)(137, 270)(138, 319)(139, 268)(140, 269)(141, 314)(142, 320)(143, 301)(144, 286)(145, 293)(146, 322)(147, 295)(148, 281)(149, 299)(150, 304)(151, 302)(152, 289)(153, 323)(154, 297)(155, 298)(156, 296)(157, 324)(158, 321)(159, 306)(160, 316)(161, 310)(162, 313)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2221
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 162 f = 108
	degree seq :: [ 18^18 ]

E19.2226 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 9})
Quotient :: loop
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 5>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^3)^2, T1^9, (T2 * T1^-1)^6, T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2 * T1 * T2 * T1 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165)(2, 164, 6, 168)(4, 166, 9, 171)(5, 167, 12, 174)(7, 169, 16, 178)(8, 170, 17, 179)(10, 172, 21, 183)(11, 173, 24, 186)(13, 175, 28, 190)(14, 176, 29, 191)(15, 177, 32, 194)(18, 180, 37, 199)(19, 181, 39, 201)(20, 182, 40, 202)(22, 184, 31, 193)(23, 185, 43, 205)(25, 187, 45, 207)(26, 188, 46, 208)(27, 189, 48, 210)(30, 192, 53, 215)(33, 195, 58, 220)(34, 196, 59, 221)(35, 197, 62, 224)(36, 198, 63, 225)(38, 200, 66, 228)(41, 203, 72, 234)(42, 204, 65, 227)(44, 206, 73, 235)(47, 209, 78, 240)(49, 211, 82, 244)(50, 212, 83, 245)(51, 213, 86, 248)(52, 214, 87, 249)(54, 216, 89, 251)(55, 217, 90, 252)(56, 218, 91, 253)(57, 219, 93, 255)(60, 222, 98, 260)(61, 223, 99, 261)(64, 226, 104, 266)(67, 229, 107, 269)(68, 230, 108, 270)(69, 231, 110, 272)(70, 232, 94, 256)(71, 233, 111, 273)(74, 236, 114, 276)(75, 237, 115, 277)(76, 238, 116, 278)(77, 239, 117, 279)(79, 241, 118, 280)(80, 242, 119, 281)(81, 243, 121, 283)(84, 246, 125, 287)(85, 247, 126, 288)(88, 250, 130, 292)(92, 254, 133, 295)(95, 257, 135, 297)(96, 258, 120, 282)(97, 259, 137, 299)(100, 262, 139, 301)(101, 263, 113, 275)(102, 264, 141, 303)(103, 265, 128, 290)(105, 267, 123, 285)(106, 268, 138, 300)(109, 271, 143, 305)(112, 274, 144, 306)(122, 284, 148, 310)(124, 286, 150, 312)(127, 289, 151, 313)(129, 291, 152, 314)(131, 293, 153, 315)(132, 294, 154, 316)(134, 296, 155, 317)(136, 298, 156, 318)(140, 302, 157, 319)(142, 304, 158, 320)(145, 307, 159, 321)(146, 308, 160, 322)(147, 309, 161, 323)(149, 311, 162, 324)
	L = (1, 164)(2, 167)(3, 169)(4, 163)(5, 173)(6, 175)(7, 177)(8, 165)(9, 181)(10, 166)(11, 185)(12, 187)(13, 189)(14, 168)(15, 193)(16, 195)(17, 197)(18, 170)(19, 200)(20, 171)(21, 203)(22, 172)(23, 204)(24, 180)(25, 182)(26, 174)(27, 183)(28, 211)(29, 213)(30, 176)(31, 216)(32, 217)(33, 219)(34, 178)(35, 223)(36, 179)(37, 226)(38, 227)(39, 229)(40, 231)(41, 233)(42, 184)(43, 192)(44, 186)(45, 236)(46, 238)(47, 188)(48, 241)(49, 243)(50, 190)(51, 247)(52, 191)(53, 250)(54, 206)(55, 198)(56, 194)(57, 199)(58, 256)(59, 258)(60, 196)(61, 235)(62, 262)(63, 264)(64, 265)(65, 209)(66, 267)(67, 237)(68, 201)(69, 239)(70, 202)(71, 205)(72, 246)(73, 254)(74, 275)(75, 207)(76, 268)(77, 208)(78, 271)(79, 214)(80, 210)(81, 215)(82, 225)(83, 285)(84, 212)(85, 273)(86, 289)(87, 291)(88, 274)(89, 222)(90, 293)(91, 294)(92, 218)(93, 280)(94, 296)(95, 220)(96, 298)(97, 221)(98, 300)(99, 284)(100, 277)(101, 224)(102, 287)(103, 251)(104, 279)(105, 232)(106, 228)(107, 281)(108, 295)(109, 230)(110, 286)(111, 282)(112, 234)(113, 240)(114, 249)(115, 252)(116, 308)(117, 257)(118, 259)(119, 309)(120, 242)(121, 272)(122, 244)(123, 311)(124, 245)(125, 253)(126, 307)(127, 255)(128, 248)(129, 269)(130, 261)(131, 270)(132, 292)(133, 302)(134, 260)(135, 310)(136, 290)(137, 312)(138, 304)(139, 313)(140, 263)(141, 314)(142, 266)(143, 288)(144, 278)(145, 276)(146, 283)(147, 305)(148, 321)(149, 306)(150, 301)(151, 322)(152, 297)(153, 299)(154, 323)(155, 303)(156, 324)(157, 318)(158, 316)(159, 320)(160, 319)(161, 317)(162, 315)
	local type(s) :: { ( 6, 9, 6, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.2222
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 81 e = 162 f = 45
	degree seq :: [ 4^81 ]

E19.2227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 5>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^2 * Y1)^2, (R * Y2^-3 * Y1)^2, (Y2^-1 * Y1 * Y2^-2 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^3 * Y1 * Y2^-1, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 17, 179)(10, 172, 21, 183)(12, 174, 24, 186)(14, 176, 28, 190)(15, 177, 29, 191)(16, 178, 31, 193)(18, 180, 35, 197)(19, 181, 36, 198)(20, 182, 38, 200)(22, 184, 42, 204)(23, 185, 44, 206)(25, 187, 48, 210)(26, 188, 49, 211)(27, 189, 51, 213)(30, 192, 54, 216)(32, 194, 60, 222)(33, 195, 52, 214)(34, 196, 62, 224)(37, 199, 68, 230)(39, 201, 46, 208)(40, 202, 71, 233)(41, 203, 43, 205)(45, 207, 79, 241)(47, 209, 81, 243)(50, 212, 87, 249)(53, 215, 90, 252)(55, 217, 93, 255)(56, 218, 94, 256)(57, 219, 96, 258)(58, 220, 97, 259)(59, 221, 99, 261)(61, 223, 80, 242)(63, 225, 91, 253)(64, 226, 100, 262)(65, 227, 102, 264)(66, 228, 103, 265)(67, 229, 104, 266)(69, 231, 98, 260)(70, 232, 105, 267)(72, 234, 82, 244)(73, 235, 92, 254)(74, 236, 106, 268)(75, 237, 107, 269)(76, 238, 109, 271)(77, 239, 110, 272)(78, 240, 112, 274)(83, 245, 113, 275)(84, 246, 115, 277)(85, 247, 116, 278)(86, 248, 117, 279)(88, 250, 111, 273)(89, 251, 118, 280)(95, 257, 114, 276)(101, 263, 108, 270)(119, 281, 141, 303)(120, 282, 142, 304)(121, 283, 143, 305)(122, 284, 145, 307)(123, 285, 146, 308)(124, 286, 147, 309)(125, 287, 148, 310)(126, 288, 144, 306)(127, 289, 149, 311)(128, 290, 150, 312)(129, 291, 151, 313)(130, 292, 152, 314)(131, 293, 153, 315)(132, 294, 154, 316)(133, 295, 156, 318)(134, 296, 157, 319)(135, 297, 158, 320)(136, 298, 159, 321)(137, 299, 155, 317)(138, 300, 160, 322)(139, 301, 161, 323)(140, 302, 162, 324)(325, 487, 327, 489, 332, 494, 342, 504, 334, 496, 328, 490)(326, 488, 329, 491, 336, 498, 349, 511, 338, 500, 330, 492)(331, 493, 339, 501, 354, 516, 381, 543, 356, 518, 340, 502)(333, 495, 343, 505, 361, 523, 393, 555, 363, 525, 344, 506)(335, 497, 346, 508, 367, 529, 400, 562, 369, 531, 347, 509)(337, 499, 350, 512, 374, 536, 412, 574, 376, 538, 351, 513)(341, 503, 357, 519, 385, 547, 403, 565, 387, 549, 358, 520)(345, 507, 364, 526, 396, 558, 411, 573, 397, 559, 365, 527)(348, 510, 370, 532, 404, 566, 384, 546, 406, 568, 371, 533)(352, 514, 377, 539, 415, 577, 392, 554, 416, 578, 378, 540)(353, 515, 379, 541, 362, 524, 394, 556, 419, 581, 380, 542)(355, 517, 382, 544, 422, 584, 450, 612, 424, 586, 383, 545)(359, 521, 388, 550, 414, 576, 438, 600, 405, 567, 389, 551)(360, 522, 390, 552, 426, 588, 447, 609, 420, 582, 391, 553)(366, 528, 398, 560, 375, 537, 413, 575, 432, 594, 399, 561)(368, 530, 401, 563, 435, 597, 461, 623, 437, 599, 402, 564)(372, 534, 407, 569, 395, 557, 425, 587, 386, 548, 408, 570)(373, 535, 409, 571, 439, 601, 458, 620, 433, 595, 410, 572)(417, 579, 443, 605, 423, 585, 451, 613, 427, 589, 444, 606)(418, 580, 445, 607, 468, 630, 452, 614, 428, 590, 446, 608)(421, 583, 448, 610, 470, 632, 453, 615, 429, 591, 449, 611)(430, 592, 454, 616, 436, 598, 462, 624, 440, 602, 455, 617)(431, 593, 456, 618, 479, 641, 463, 625, 441, 603, 457, 619)(434, 596, 459, 621, 481, 643, 464, 626, 442, 604, 460, 622)(465, 627, 477, 639, 469, 631, 485, 647, 471, 633, 483, 645)(466, 628, 480, 642, 474, 636, 482, 644, 472, 634, 476, 638)(467, 629, 484, 646, 475, 637, 478, 640, 473, 635, 486, 648)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 348)(13, 330)(14, 352)(15, 353)(16, 355)(17, 332)(18, 359)(19, 360)(20, 362)(21, 334)(22, 366)(23, 368)(24, 336)(25, 372)(26, 373)(27, 375)(28, 338)(29, 339)(30, 378)(31, 340)(32, 384)(33, 376)(34, 386)(35, 342)(36, 343)(37, 392)(38, 344)(39, 370)(40, 395)(41, 367)(42, 346)(43, 365)(44, 347)(45, 403)(46, 363)(47, 405)(48, 349)(49, 350)(50, 411)(51, 351)(52, 357)(53, 414)(54, 354)(55, 417)(56, 418)(57, 420)(58, 421)(59, 423)(60, 356)(61, 404)(62, 358)(63, 415)(64, 424)(65, 426)(66, 427)(67, 428)(68, 361)(69, 422)(70, 429)(71, 364)(72, 406)(73, 416)(74, 430)(75, 431)(76, 433)(77, 434)(78, 436)(79, 369)(80, 385)(81, 371)(82, 396)(83, 437)(84, 439)(85, 440)(86, 441)(87, 374)(88, 435)(89, 442)(90, 377)(91, 387)(92, 397)(93, 379)(94, 380)(95, 438)(96, 381)(97, 382)(98, 393)(99, 383)(100, 388)(101, 432)(102, 389)(103, 390)(104, 391)(105, 394)(106, 398)(107, 399)(108, 425)(109, 400)(110, 401)(111, 412)(112, 402)(113, 407)(114, 419)(115, 408)(116, 409)(117, 410)(118, 413)(119, 465)(120, 466)(121, 467)(122, 469)(123, 470)(124, 471)(125, 472)(126, 468)(127, 473)(128, 474)(129, 475)(130, 476)(131, 477)(132, 478)(133, 480)(134, 481)(135, 482)(136, 483)(137, 479)(138, 484)(139, 485)(140, 486)(141, 443)(142, 444)(143, 445)(144, 450)(145, 446)(146, 447)(147, 448)(148, 449)(149, 451)(150, 452)(151, 453)(152, 454)(153, 455)(154, 456)(155, 461)(156, 457)(157, 458)(158, 459)(159, 460)(160, 462)(161, 463)(162, 464)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.2230
Graph:: bipartite
	v = 108 e = 324 f = 180
	degree seq :: [ 4^81, 12^27 ]

E19.2228 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 5>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y1^-1 * Y2^2)^2, (Y2^2 * Y1^-1)^2, Y1^6, Y2^9, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 163, 2, 164, 6, 168, 16, 178, 13, 175, 4, 166)(3, 165, 9, 171, 23, 185, 49, 211, 28, 190, 11, 173)(5, 167, 14, 176, 33, 195, 45, 207, 20, 182, 7, 169)(8, 170, 21, 183, 46, 208, 77, 239, 39, 201, 17, 179)(10, 172, 25, 187, 54, 216, 89, 251, 47, 209, 22, 184)(12, 174, 29, 191, 60, 222, 102, 264, 64, 226, 31, 193)(15, 177, 30, 192, 62, 224, 105, 267, 68, 230, 34, 196)(18, 180, 40, 202, 78, 240, 114, 276, 71, 233, 36, 198)(19, 181, 42, 204, 81, 243, 123, 285, 79, 241, 41, 203)(24, 186, 52, 214, 94, 256, 121, 283, 87, 249, 50, 212)(26, 188, 48, 210, 75, 237, 117, 279, 95, 257, 53, 215)(27, 189, 57, 219, 76, 238, 120, 282, 101, 263, 58, 220)(32, 194, 37, 199, 72, 234, 115, 277, 98, 260, 65, 227)(35, 197, 43, 205, 80, 242, 112, 274, 104, 266, 63, 225)(38, 200, 74, 236, 59, 221, 92, 254, 116, 278, 73, 235)(44, 206, 84, 246, 113, 275, 91, 253, 51, 213, 85, 247)(55, 217, 99, 261, 118, 280, 147, 309, 133, 295, 97, 259)(56, 218, 96, 258, 132, 294, 155, 317, 136, 298, 100, 262)(61, 223, 70, 232, 111, 273, 86, 248, 66, 228, 103, 265)(67, 229, 109, 271, 122, 284, 149, 311, 137, 299, 108, 270)(69, 231, 110, 272, 141, 303, 152, 314, 127, 289, 83, 245)(82, 244, 126, 288, 143, 305, 139, 301, 106, 268, 125, 287)(88, 250, 129, 291, 145, 307, 131, 293, 93, 255, 128, 290)(90, 252, 130, 292, 153, 315, 161, 323, 148, 310, 119, 281)(107, 269, 138, 300, 157, 319, 162, 324, 151, 313, 140, 302)(124, 286, 150, 312, 142, 304, 158, 320, 159, 321, 144, 306)(134, 296, 146, 308, 160, 322, 154, 316, 135, 297, 156, 318)(325, 487, 327, 489, 334, 496, 350, 512, 380, 542, 393, 555, 359, 521, 339, 501, 329, 491)(326, 488, 331, 493, 343, 505, 367, 529, 407, 569, 414, 576, 372, 534, 346, 508, 332, 494)(328, 490, 336, 498, 354, 516, 387, 549, 431, 593, 420, 582, 377, 539, 348, 510, 333, 495)(330, 492, 341, 503, 362, 524, 399, 561, 443, 605, 448, 610, 404, 566, 365, 527, 342, 504)(335, 497, 351, 513, 338, 500, 358, 520, 391, 553, 434, 596, 424, 586, 379, 541, 349, 511)(337, 499, 356, 518, 376, 538, 419, 581, 458, 620, 462, 624, 428, 590, 385, 547, 353, 515)(340, 502, 360, 522, 394, 556, 436, 598, 468, 630, 470, 632, 441, 603, 397, 559, 361, 523)(344, 506, 368, 530, 345, 507, 371, 533, 412, 574, 454, 616, 451, 613, 406, 568, 366, 528)(347, 509, 374, 536, 417, 579, 456, 618, 464, 626, 430, 592, 386, 548, 355, 517, 375, 537)(352, 514, 383, 545, 423, 585, 460, 622, 466, 628, 433, 595, 392, 554, 402, 564, 381, 543)(357, 519, 382, 544, 422, 584, 378, 540, 421, 583, 459, 621, 465, 627, 432, 594, 390, 552)(363, 525, 400, 562, 364, 526, 403, 565, 446, 608, 474, 636, 472, 634, 442, 604, 398, 560)(369, 531, 410, 572, 450, 612, 476, 638, 478, 640, 453, 615, 413, 575, 439, 601, 408, 570)(370, 532, 409, 571, 388, 550, 405, 567, 449, 611, 475, 637, 477, 639, 452, 614, 411, 573)(373, 535, 415, 577, 438, 600, 429, 591, 463, 625, 482, 644, 479, 641, 455, 617, 416, 578)(384, 546, 427, 589, 461, 623, 481, 643, 480, 642, 457, 619, 418, 580, 389, 551, 425, 587)(395, 557, 437, 599, 396, 558, 440, 602, 469, 631, 484, 646, 483, 645, 467, 629, 435, 597)(401, 563, 445, 607, 471, 633, 485, 647, 486, 648, 473, 635, 447, 609, 426, 588, 444, 606)
	L = (1, 327)(2, 331)(3, 334)(4, 336)(5, 325)(6, 341)(7, 343)(8, 326)(9, 328)(10, 350)(11, 351)(12, 354)(13, 356)(14, 358)(15, 329)(16, 360)(17, 362)(18, 330)(19, 367)(20, 368)(21, 371)(22, 332)(23, 374)(24, 333)(25, 335)(26, 380)(27, 338)(28, 383)(29, 337)(30, 387)(31, 375)(32, 376)(33, 382)(34, 391)(35, 339)(36, 394)(37, 340)(38, 399)(39, 400)(40, 403)(41, 342)(42, 344)(43, 407)(44, 345)(45, 410)(46, 409)(47, 412)(48, 346)(49, 415)(50, 417)(51, 347)(52, 419)(53, 348)(54, 421)(55, 349)(56, 393)(57, 352)(58, 422)(59, 423)(60, 427)(61, 353)(62, 355)(63, 431)(64, 405)(65, 425)(66, 357)(67, 434)(68, 402)(69, 359)(70, 436)(71, 437)(72, 440)(73, 361)(74, 363)(75, 443)(76, 364)(77, 445)(78, 381)(79, 446)(80, 365)(81, 449)(82, 366)(83, 414)(84, 369)(85, 388)(86, 450)(87, 370)(88, 454)(89, 439)(90, 372)(91, 438)(92, 373)(93, 456)(94, 389)(95, 458)(96, 377)(97, 459)(98, 378)(99, 460)(100, 379)(101, 384)(102, 444)(103, 461)(104, 385)(105, 463)(106, 386)(107, 420)(108, 390)(109, 392)(110, 424)(111, 395)(112, 468)(113, 396)(114, 429)(115, 408)(116, 469)(117, 397)(118, 398)(119, 448)(120, 401)(121, 471)(122, 474)(123, 426)(124, 404)(125, 475)(126, 476)(127, 406)(128, 411)(129, 413)(130, 451)(131, 416)(132, 464)(133, 418)(134, 462)(135, 465)(136, 466)(137, 481)(138, 428)(139, 482)(140, 430)(141, 432)(142, 433)(143, 435)(144, 470)(145, 484)(146, 441)(147, 485)(148, 442)(149, 447)(150, 472)(151, 477)(152, 478)(153, 452)(154, 453)(155, 455)(156, 457)(157, 480)(158, 479)(159, 467)(160, 483)(161, 486)(162, 473)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 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 E19.2229
Graph:: bipartite
	v = 45 e = 324 f = 243
	degree seq :: [ 12^27, 18^18 ]

E19.2229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 5>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-3 * Y2)^2, Y3^9, (Y3 * Y2)^6, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1, (Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^9 ]
Map:: polytopal
	R = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)(325, 487, 326, 488)(327, 489, 331, 493)(328, 490, 333, 495)(329, 491, 335, 497)(330, 492, 337, 499)(332, 494, 341, 503)(334, 496, 345, 507)(336, 498, 349, 511)(338, 500, 353, 515)(339, 501, 355, 517)(340, 502, 357, 519)(342, 504, 354, 516)(343, 505, 362, 524)(344, 506, 364, 526)(346, 508, 350, 512)(347, 509, 367, 529)(348, 510, 369, 531)(351, 513, 374, 536)(352, 514, 376, 538)(356, 518, 381, 543)(358, 520, 384, 546)(359, 521, 386, 548)(360, 522, 387, 549)(361, 523, 385, 547)(363, 525, 391, 553)(365, 527, 395, 557)(366, 528, 392, 554)(368, 530, 399, 561)(370, 532, 402, 564)(371, 533, 404, 566)(372, 534, 405, 567)(373, 535, 403, 565)(375, 537, 409, 571)(377, 539, 413, 575)(378, 540, 410, 572)(379, 541, 412, 574)(380, 542, 416, 578)(382, 544, 420, 582)(383, 545, 422, 584)(388, 550, 428, 590)(389, 551, 429, 591)(390, 552, 430, 592)(393, 555, 434, 596)(394, 556, 397, 559)(396, 558, 436, 598)(398, 560, 438, 600)(400, 562, 442, 604)(401, 563, 444, 606)(406, 568, 450, 612)(407, 569, 451, 613)(408, 570, 452, 614)(411, 573, 456, 618)(414, 576, 458, 620)(415, 577, 459, 621)(417, 579, 449, 611)(418, 580, 440, 602)(419, 581, 462, 624)(421, 583, 463, 625)(423, 585, 455, 617)(424, 586, 465, 627)(425, 587, 447, 609)(426, 588, 466, 628)(427, 589, 439, 601)(431, 593, 467, 629)(432, 594, 460, 622)(433, 595, 445, 607)(435, 597, 468, 630)(437, 599, 469, 631)(441, 603, 472, 634)(443, 605, 473, 635)(446, 608, 475, 637)(448, 610, 476, 638)(453, 615, 477, 639)(454, 616, 470, 632)(457, 619, 478, 640)(461, 623, 474, 636)(464, 626, 471, 633)(479, 641, 485, 647)(480, 642, 486, 648)(481, 643, 483, 645)(482, 644, 484, 646)
	L = (1, 327)(2, 329)(3, 332)(4, 325)(5, 336)(6, 326)(7, 339)(8, 342)(9, 343)(10, 328)(11, 347)(12, 350)(13, 351)(14, 330)(15, 356)(16, 331)(17, 359)(18, 361)(19, 363)(20, 333)(21, 365)(22, 334)(23, 368)(24, 335)(25, 371)(26, 373)(27, 375)(28, 337)(29, 377)(30, 338)(31, 379)(32, 345)(33, 382)(34, 340)(35, 344)(36, 341)(37, 366)(38, 389)(39, 392)(40, 393)(41, 396)(42, 346)(43, 397)(44, 353)(45, 400)(46, 348)(47, 352)(48, 349)(49, 378)(50, 407)(51, 410)(52, 411)(53, 414)(54, 354)(55, 415)(56, 355)(57, 418)(58, 421)(59, 357)(60, 423)(61, 358)(62, 424)(63, 426)(64, 360)(65, 425)(66, 362)(67, 432)(68, 388)(69, 427)(70, 364)(71, 417)(72, 385)(73, 437)(74, 367)(75, 440)(76, 443)(77, 369)(78, 445)(79, 370)(80, 446)(81, 448)(82, 372)(83, 447)(84, 374)(85, 454)(86, 406)(87, 449)(88, 376)(89, 439)(90, 403)(91, 384)(92, 460)(93, 380)(94, 383)(95, 381)(96, 441)(97, 436)(98, 464)(99, 435)(100, 452)(101, 386)(102, 433)(103, 387)(104, 431)(105, 462)(106, 450)(107, 390)(108, 394)(109, 391)(110, 461)(111, 395)(112, 442)(113, 402)(114, 470)(115, 398)(116, 401)(117, 399)(118, 419)(119, 458)(120, 474)(121, 457)(122, 430)(123, 404)(124, 455)(125, 405)(126, 453)(127, 472)(128, 428)(129, 408)(130, 412)(131, 409)(132, 471)(133, 413)(134, 420)(135, 434)(136, 480)(137, 416)(138, 481)(139, 482)(140, 429)(141, 422)(142, 479)(143, 463)(144, 466)(145, 456)(146, 484)(147, 438)(148, 485)(149, 486)(150, 451)(151, 444)(152, 483)(153, 473)(154, 476)(155, 459)(156, 468)(157, 467)(158, 465)(159, 469)(160, 478)(161, 477)(162, 475)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 18 ), ( 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.2228
Graph:: simple bipartite
	v = 243 e = 324 f = 45
	degree seq :: [ 2^162, 4^81 ]

E19.2230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 5>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y1^-1 * Y3 * Y1^-2)^2, Y1^9, (Y3 * Y1^-1)^6, Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-2, (Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2)^2 ]
Map:: polytopal
	R = (1, 163, 2, 164, 5, 167, 11, 173, 23, 185, 42, 204, 22, 184, 10, 172, 4, 166)(3, 165, 7, 169, 15, 177, 31, 193, 54, 216, 44, 206, 24, 186, 18, 180, 8, 170)(6, 168, 13, 175, 27, 189, 21, 183, 41, 203, 71, 233, 43, 205, 30, 192, 14, 176)(9, 171, 19, 181, 38, 200, 65, 227, 47, 209, 26, 188, 12, 174, 25, 187, 20, 182)(16, 178, 33, 195, 57, 219, 37, 199, 64, 226, 103, 265, 89, 251, 60, 222, 34, 196)(17, 179, 35, 197, 61, 223, 73, 235, 92, 254, 56, 218, 32, 194, 55, 217, 36, 198)(28, 190, 49, 211, 81, 243, 53, 215, 88, 250, 112, 274, 72, 234, 84, 246, 50, 212)(29, 191, 51, 213, 85, 247, 111, 273, 120, 282, 80, 242, 48, 210, 79, 241, 52, 214)(39, 201, 67, 229, 75, 237, 45, 207, 74, 236, 113, 275, 78, 240, 109, 271, 68, 230)(40, 202, 69, 231, 77, 239, 46, 208, 76, 238, 106, 268, 66, 228, 105, 267, 70, 232)(58, 220, 94, 256, 134, 296, 98, 260, 138, 300, 142, 304, 104, 266, 117, 279, 95, 257)(59, 221, 96, 258, 136, 298, 128, 290, 86, 248, 127, 289, 93, 255, 118, 280, 97, 259)(62, 224, 100, 262, 115, 277, 90, 252, 131, 293, 108, 270, 133, 295, 140, 302, 101, 263)(63, 225, 102, 264, 125, 287, 91, 253, 132, 294, 130, 292, 99, 261, 122, 284, 82, 244)(83, 245, 123, 285, 149, 311, 144, 306, 116, 278, 146, 308, 121, 283, 110, 272, 124, 286)(87, 249, 129, 291, 107, 269, 119, 281, 147, 309, 143, 305, 126, 288, 145, 307, 114, 276)(135, 297, 148, 310, 159, 321, 158, 320, 154, 316, 161, 323, 155, 317, 141, 303, 152, 314)(137, 299, 150, 312, 139, 301, 151, 313, 160, 322, 157, 319, 156, 318, 162, 324, 153, 315)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 330)(3, 325)(4, 333)(5, 336)(6, 326)(7, 340)(8, 341)(9, 328)(10, 345)(11, 348)(12, 329)(13, 352)(14, 353)(15, 356)(16, 331)(17, 332)(18, 361)(19, 363)(20, 364)(21, 334)(22, 355)(23, 367)(24, 335)(25, 369)(26, 370)(27, 372)(28, 337)(29, 338)(30, 377)(31, 346)(32, 339)(33, 382)(34, 383)(35, 386)(36, 387)(37, 342)(38, 390)(39, 343)(40, 344)(41, 396)(42, 389)(43, 347)(44, 397)(45, 349)(46, 350)(47, 402)(48, 351)(49, 406)(50, 407)(51, 410)(52, 411)(53, 354)(54, 413)(55, 414)(56, 415)(57, 417)(58, 357)(59, 358)(60, 422)(61, 423)(62, 359)(63, 360)(64, 428)(65, 366)(66, 362)(67, 431)(68, 432)(69, 434)(70, 418)(71, 435)(72, 365)(73, 368)(74, 438)(75, 439)(76, 440)(77, 441)(78, 371)(79, 442)(80, 443)(81, 445)(82, 373)(83, 374)(84, 449)(85, 450)(86, 375)(87, 376)(88, 454)(89, 378)(90, 379)(91, 380)(92, 457)(93, 381)(94, 394)(95, 459)(96, 444)(97, 461)(98, 384)(99, 385)(100, 463)(101, 437)(102, 465)(103, 452)(104, 388)(105, 447)(106, 462)(107, 391)(108, 392)(109, 467)(110, 393)(111, 395)(112, 468)(113, 425)(114, 398)(115, 399)(116, 400)(117, 401)(118, 403)(119, 404)(120, 420)(121, 405)(122, 472)(123, 429)(124, 474)(125, 408)(126, 409)(127, 475)(128, 427)(129, 476)(130, 412)(131, 477)(132, 478)(133, 416)(134, 479)(135, 419)(136, 480)(137, 421)(138, 430)(139, 424)(140, 481)(141, 426)(142, 482)(143, 433)(144, 436)(145, 483)(146, 484)(147, 485)(148, 446)(149, 486)(150, 448)(151, 451)(152, 453)(153, 455)(154, 456)(155, 458)(156, 460)(157, 464)(158, 466)(159, 469)(160, 470)(161, 471)(162, 473)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2227
Graph:: simple bipartite
	v = 180 e = 324 f = 108
	degree seq :: [ 2^162, 18^18 ]

E19.2231 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 5>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|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)^2, Y2 * R * Y2^-3 * R * Y2^2, Y2^9, (Y3 * Y2^-1)^6, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^2 * Y1, (Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^2 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 17, 179)(10, 172, 21, 183)(12, 174, 25, 187)(14, 176, 29, 191)(15, 177, 31, 193)(16, 178, 33, 195)(18, 180, 30, 192)(19, 181, 38, 200)(20, 182, 40, 202)(22, 184, 26, 188)(23, 185, 43, 205)(24, 186, 45, 207)(27, 189, 50, 212)(28, 190, 52, 214)(32, 194, 57, 219)(34, 196, 60, 222)(35, 197, 62, 224)(36, 198, 63, 225)(37, 199, 61, 223)(39, 201, 67, 229)(41, 203, 71, 233)(42, 204, 68, 230)(44, 206, 75, 237)(46, 208, 78, 240)(47, 209, 80, 242)(48, 210, 81, 243)(49, 211, 79, 241)(51, 213, 85, 247)(53, 215, 89, 251)(54, 216, 86, 248)(55, 217, 88, 250)(56, 218, 92, 254)(58, 220, 96, 258)(59, 221, 98, 260)(64, 226, 104, 266)(65, 227, 105, 267)(66, 228, 106, 268)(69, 231, 110, 272)(70, 232, 73, 235)(72, 234, 112, 274)(74, 236, 114, 276)(76, 238, 118, 280)(77, 239, 120, 282)(82, 244, 126, 288)(83, 245, 127, 289)(84, 246, 128, 290)(87, 249, 132, 294)(90, 252, 134, 296)(91, 253, 135, 297)(93, 255, 125, 287)(94, 256, 116, 278)(95, 257, 138, 300)(97, 259, 139, 301)(99, 261, 131, 293)(100, 262, 141, 303)(101, 263, 123, 285)(102, 264, 142, 304)(103, 265, 115, 277)(107, 269, 143, 305)(108, 270, 136, 298)(109, 271, 121, 283)(111, 273, 144, 306)(113, 275, 145, 307)(117, 279, 148, 310)(119, 281, 149, 311)(122, 284, 151, 313)(124, 286, 152, 314)(129, 291, 153, 315)(130, 292, 146, 308)(133, 295, 154, 316)(137, 299, 150, 312)(140, 302, 147, 309)(155, 317, 161, 323)(156, 318, 162, 324)(157, 319, 159, 321)(158, 320, 160, 322)(325, 487, 327, 489, 332, 494, 342, 504, 361, 523, 366, 528, 346, 508, 334, 496, 328, 490)(326, 488, 329, 491, 336, 498, 350, 512, 373, 535, 378, 540, 354, 516, 338, 500, 330, 492)(331, 493, 339, 501, 356, 518, 345, 507, 365, 527, 396, 558, 385, 547, 358, 520, 340, 502)(333, 495, 343, 505, 363, 525, 392, 554, 388, 550, 360, 522, 341, 503, 359, 521, 344, 506)(335, 497, 347, 509, 368, 530, 353, 515, 377, 539, 414, 576, 403, 565, 370, 532, 348, 510)(337, 499, 351, 513, 375, 537, 410, 572, 406, 568, 372, 534, 349, 511, 371, 533, 352, 514)(355, 517, 379, 541, 415, 577, 384, 546, 423, 585, 435, 597, 395, 557, 417, 579, 380, 542)(357, 519, 382, 544, 421, 583, 436, 598, 442, 604, 419, 581, 381, 543, 418, 580, 383, 545)(362, 524, 389, 551, 425, 587, 386, 548, 424, 586, 452, 614, 428, 590, 431, 593, 390, 552)(364, 526, 393, 555, 427, 589, 387, 549, 426, 588, 433, 595, 391, 553, 432, 594, 394, 556)(367, 529, 397, 559, 437, 599, 402, 564, 445, 607, 457, 619, 413, 575, 439, 601, 398, 560)(369, 531, 400, 562, 443, 605, 458, 620, 420, 582, 441, 603, 399, 561, 440, 602, 401, 563)(374, 536, 407, 569, 447, 609, 404, 566, 446, 608, 430, 592, 450, 612, 453, 615, 408, 570)(376, 538, 411, 573, 449, 611, 405, 567, 448, 610, 455, 617, 409, 571, 454, 616, 412, 574)(416, 578, 460, 622, 480, 642, 468, 630, 466, 628, 479, 641, 459, 621, 434, 596, 461, 623)(422, 584, 464, 626, 429, 591, 462, 624, 481, 643, 467, 629, 463, 625, 482, 644, 465, 627)(438, 600, 470, 632, 484, 646, 478, 640, 476, 638, 483, 645, 469, 631, 456, 618, 471, 633)(444, 606, 474, 636, 451, 613, 472, 634, 485, 647, 477, 639, 473, 635, 486, 648, 475, 637)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 349)(13, 330)(14, 353)(15, 355)(16, 357)(17, 332)(18, 354)(19, 362)(20, 364)(21, 334)(22, 350)(23, 367)(24, 369)(25, 336)(26, 346)(27, 374)(28, 376)(29, 338)(30, 342)(31, 339)(32, 381)(33, 340)(34, 384)(35, 386)(36, 387)(37, 385)(38, 343)(39, 391)(40, 344)(41, 395)(42, 392)(43, 347)(44, 399)(45, 348)(46, 402)(47, 404)(48, 405)(49, 403)(50, 351)(51, 409)(52, 352)(53, 413)(54, 410)(55, 412)(56, 416)(57, 356)(58, 420)(59, 422)(60, 358)(61, 361)(62, 359)(63, 360)(64, 428)(65, 429)(66, 430)(67, 363)(68, 366)(69, 434)(70, 397)(71, 365)(72, 436)(73, 394)(74, 438)(75, 368)(76, 442)(77, 444)(78, 370)(79, 373)(80, 371)(81, 372)(82, 450)(83, 451)(84, 452)(85, 375)(86, 378)(87, 456)(88, 379)(89, 377)(90, 458)(91, 459)(92, 380)(93, 449)(94, 440)(95, 462)(96, 382)(97, 463)(98, 383)(99, 455)(100, 465)(101, 447)(102, 466)(103, 439)(104, 388)(105, 389)(106, 390)(107, 467)(108, 460)(109, 445)(110, 393)(111, 468)(112, 396)(113, 469)(114, 398)(115, 427)(116, 418)(117, 472)(118, 400)(119, 473)(120, 401)(121, 433)(122, 475)(123, 425)(124, 476)(125, 417)(126, 406)(127, 407)(128, 408)(129, 477)(130, 470)(131, 423)(132, 411)(133, 478)(134, 414)(135, 415)(136, 432)(137, 474)(138, 419)(139, 421)(140, 471)(141, 424)(142, 426)(143, 431)(144, 435)(145, 437)(146, 454)(147, 464)(148, 441)(149, 443)(150, 461)(151, 446)(152, 448)(153, 453)(154, 457)(155, 485)(156, 486)(157, 483)(158, 484)(159, 481)(160, 482)(161, 479)(162, 480)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2232
Graph:: bipartite
	v = 99 e = 324 f = 189
	degree seq :: [ 4^81, 18^18 ]

E19.2232 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 5>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y1^-1 * Y3^2)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1^-1)^2, Y1^6, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^9 ]
Map:: polytopal
	R = (1, 163, 2, 164, 6, 168, 16, 178, 13, 175, 4, 166)(3, 165, 9, 171, 23, 185, 49, 211, 28, 190, 11, 173)(5, 167, 14, 176, 33, 195, 45, 207, 20, 182, 7, 169)(8, 170, 21, 183, 46, 208, 77, 239, 39, 201, 17, 179)(10, 172, 25, 187, 54, 216, 89, 251, 47, 209, 22, 184)(12, 174, 29, 191, 60, 222, 102, 264, 64, 226, 31, 193)(15, 177, 30, 192, 62, 224, 105, 267, 68, 230, 34, 196)(18, 180, 40, 202, 78, 240, 114, 276, 71, 233, 36, 198)(19, 181, 42, 204, 81, 243, 123, 285, 79, 241, 41, 203)(24, 186, 52, 214, 94, 256, 121, 283, 87, 249, 50, 212)(26, 188, 48, 210, 75, 237, 117, 279, 95, 257, 53, 215)(27, 189, 57, 219, 76, 238, 120, 282, 101, 263, 58, 220)(32, 194, 37, 199, 72, 234, 115, 277, 98, 260, 65, 227)(35, 197, 43, 205, 80, 242, 112, 274, 104, 266, 63, 225)(38, 200, 74, 236, 59, 221, 92, 254, 116, 278, 73, 235)(44, 206, 84, 246, 113, 275, 91, 253, 51, 213, 85, 247)(55, 217, 99, 261, 118, 280, 147, 309, 133, 295, 97, 259)(56, 218, 96, 258, 132, 294, 155, 317, 136, 298, 100, 262)(61, 223, 70, 232, 111, 273, 86, 248, 66, 228, 103, 265)(67, 229, 109, 271, 122, 284, 149, 311, 137, 299, 108, 270)(69, 231, 110, 272, 141, 303, 152, 314, 127, 289, 83, 245)(82, 244, 126, 288, 143, 305, 139, 301, 106, 268, 125, 287)(88, 250, 129, 291, 145, 307, 131, 293, 93, 255, 128, 290)(90, 252, 130, 292, 153, 315, 161, 323, 148, 310, 119, 281)(107, 269, 138, 300, 157, 319, 162, 324, 151, 313, 140, 302)(124, 286, 150, 312, 142, 304, 158, 320, 159, 321, 144, 306)(134, 296, 146, 308, 160, 322, 154, 316, 135, 297, 156, 318)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 334)(4, 336)(5, 325)(6, 341)(7, 343)(8, 326)(9, 328)(10, 350)(11, 351)(12, 354)(13, 356)(14, 358)(15, 329)(16, 360)(17, 362)(18, 330)(19, 367)(20, 368)(21, 371)(22, 332)(23, 374)(24, 333)(25, 335)(26, 380)(27, 338)(28, 383)(29, 337)(30, 387)(31, 375)(32, 376)(33, 382)(34, 391)(35, 339)(36, 394)(37, 340)(38, 399)(39, 400)(40, 403)(41, 342)(42, 344)(43, 407)(44, 345)(45, 410)(46, 409)(47, 412)(48, 346)(49, 415)(50, 417)(51, 347)(52, 419)(53, 348)(54, 421)(55, 349)(56, 393)(57, 352)(58, 422)(59, 423)(60, 427)(61, 353)(62, 355)(63, 431)(64, 405)(65, 425)(66, 357)(67, 434)(68, 402)(69, 359)(70, 436)(71, 437)(72, 440)(73, 361)(74, 363)(75, 443)(76, 364)(77, 445)(78, 381)(79, 446)(80, 365)(81, 449)(82, 366)(83, 414)(84, 369)(85, 388)(86, 450)(87, 370)(88, 454)(89, 439)(90, 372)(91, 438)(92, 373)(93, 456)(94, 389)(95, 458)(96, 377)(97, 459)(98, 378)(99, 460)(100, 379)(101, 384)(102, 444)(103, 461)(104, 385)(105, 463)(106, 386)(107, 420)(108, 390)(109, 392)(110, 424)(111, 395)(112, 468)(113, 396)(114, 429)(115, 408)(116, 469)(117, 397)(118, 398)(119, 448)(120, 401)(121, 471)(122, 474)(123, 426)(124, 404)(125, 475)(126, 476)(127, 406)(128, 411)(129, 413)(130, 451)(131, 416)(132, 464)(133, 418)(134, 462)(135, 465)(136, 466)(137, 481)(138, 428)(139, 482)(140, 430)(141, 432)(142, 433)(143, 435)(144, 470)(145, 484)(146, 441)(147, 485)(148, 442)(149, 447)(150, 472)(151, 477)(152, 478)(153, 452)(154, 453)(155, 455)(156, 457)(157, 480)(158, 479)(159, 467)(160, 483)(161, 486)(162, 473)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.2231
Graph:: simple bipartite
	v = 189 e = 324 f = 99
	degree seq :: [ 2^162, 12^27 ]

E19.2233 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 9})
Quotient :: regular
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^3 * T2 * T1^-1, T1^9, (T2 * T1 * T2 * T1^-1)^3, (T1^-1 * T2)^6, T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1, T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 42, 22, 10, 4)(3, 7, 15, 24, 44, 64, 37, 18, 8)(6, 13, 27, 43, 72, 41, 21, 30, 14)(9, 19, 26, 12, 25, 45, 70, 40, 20)(16, 32, 56, 73, 103, 63, 36, 59, 33)(17, 34, 55, 31, 54, 89, 101, 62, 35)(28, 49, 81, 110, 126, 88, 53, 84, 50)(29, 51, 80, 48, 79, 109, 71, 87, 52)(38, 65, 76, 46, 75, 108, 69, 105, 66)(39, 67, 78, 47, 77, 111, 74, 107, 68)(57, 93, 131, 141, 115, 135, 96, 133, 94)(58, 85, 122, 92, 116, 140, 102, 124, 95)(60, 97, 113, 90, 128, 139, 100, 137, 98)(61, 99, 130, 91, 129, 121, 127, 119, 82)(83, 114, 147, 118, 145, 152, 125, 106, 120)(86, 123, 144, 117, 143, 104, 142, 146, 112)(132, 154, 151, 155, 148, 162, 158, 138, 156)(134, 157, 161, 150, 160, 136, 159, 149, 153)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 36)(19, 38)(20, 39)(22, 37)(23, 43)(25, 46)(26, 47)(27, 48)(30, 53)(32, 57)(33, 58)(34, 60)(35, 61)(40, 69)(41, 71)(42, 70)(44, 73)(45, 74)(49, 82)(50, 83)(51, 85)(52, 86)(54, 90)(55, 91)(56, 92)(59, 96)(62, 100)(63, 102)(64, 101)(65, 104)(66, 98)(67, 106)(68, 93)(72, 110)(75, 112)(76, 113)(77, 114)(78, 115)(79, 116)(80, 117)(81, 118)(84, 121)(87, 124)(88, 125)(89, 127)(94, 132)(95, 134)(97, 136)(99, 138)(103, 141)(105, 144)(107, 145)(108, 139)(109, 142)(111, 133)(119, 148)(120, 149)(122, 150)(123, 151)(126, 130)(128, 153)(129, 154)(131, 155)(135, 158)(137, 161)(140, 159)(143, 162)(146, 156)(147, 157)(152, 160)
	local type(s) :: { ( 6^9 ) }
Outer automorphisms :: reflexible
Dual of E19.2235
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 81 f = 27
	degree seq :: [ 9^18 ]

E19.2234 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 9})
Quotient :: regular
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-2)^2, (T1^-2 * T2 * T1^-1)^2, T1^9, (T2 * T1 * T2 * T1^-1)^3, (T1^-1 * T2)^6, (T2 * T1 * T2 * T1 * T2 * T1^-2)^2, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 42, 22, 10, 4)(3, 7, 15, 31, 54, 44, 24, 18, 8)(6, 13, 27, 21, 41, 71, 43, 30, 14)(9, 19, 38, 65, 47, 26, 12, 25, 20)(16, 33, 57, 37, 64, 102, 89, 60, 34)(17, 35, 61, 73, 92, 56, 32, 55, 36)(28, 49, 81, 53, 88, 110, 72, 84, 50)(29, 51, 85, 109, 118, 80, 48, 79, 52)(39, 67, 75, 45, 74, 111, 78, 107, 68)(40, 69, 77, 46, 76, 105, 66, 104, 70)(58, 94, 133, 97, 136, 141, 103, 115, 95)(59, 86, 124, 140, 116, 132, 93, 131, 96)(62, 99, 128, 90, 127, 113, 130, 138, 100)(63, 101, 122, 91, 129, 126, 98, 120, 82)(83, 114, 147, 145, 108, 144, 119, 142, 121)(87, 125, 106, 117, 148, 143, 123, 146, 112)(134, 154, 152, 161, 139, 160, 156, 149, 157)(135, 158, 137, 155, 150, 159, 151, 162, 153)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 39)(20, 40)(22, 31)(23, 43)(25, 45)(26, 46)(27, 48)(30, 53)(33, 58)(34, 59)(35, 62)(36, 63)(38, 66)(41, 72)(42, 65)(44, 73)(47, 78)(49, 82)(50, 83)(51, 86)(52, 87)(54, 89)(55, 90)(56, 91)(57, 93)(60, 97)(61, 98)(64, 103)(67, 106)(68, 100)(69, 108)(70, 94)(71, 109)(74, 112)(75, 113)(76, 114)(77, 115)(79, 116)(80, 117)(81, 119)(84, 122)(85, 123)(88, 126)(92, 130)(95, 134)(96, 135)(99, 137)(101, 139)(102, 140)(104, 142)(105, 136)(107, 143)(110, 145)(111, 128)(118, 131)(120, 149)(121, 150)(124, 151)(125, 152)(127, 153)(129, 154)(132, 155)(133, 156)(138, 159)(141, 161)(144, 162)(146, 160)(147, 158)(148, 157)
	local type(s) :: { ( 6^9 ) }
Outer automorphisms :: reflexible
Dual of E19.2236
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 81 f = 27
	degree seq :: [ 9^18 ]

E19.2235 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 9})
Quotient :: regular
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T2 * T1^-3 * T2 * T1^3 * T2 * T1^-3, T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2, (T2 * T1 * T2 * T1^-1)^3, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 68, 39, 20)(12, 23, 44, 83, 47, 24)(16, 31, 58, 106, 61, 32)(17, 33, 62, 111, 65, 34)(21, 40, 75, 90, 78, 41)(22, 42, 79, 55, 82, 43)(26, 50, 93, 147, 96, 51)(27, 52, 97, 150, 100, 53)(30, 56, 84, 135, 105, 57)(35, 66, 89, 144, 118, 67)(37, 70, 120, 153, 121, 71)(38, 72, 122, 145, 123, 73)(45, 85, 136, 117, 139, 86)(46, 87, 140, 104, 143, 88)(49, 91, 129, 119, 69, 92)(54, 101, 134, 124, 74, 102)(59, 94, 137, 159, 155, 108)(60, 98, 138, 161, 156, 109)(63, 95, 141, 160, 157, 113)(64, 99, 142, 162, 158, 114)(76, 125, 152, 116, 149, 126)(77, 127, 151, 103, 148, 128)(80, 130, 115, 154, 110, 131)(81, 132, 112, 146, 107, 133)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 69)(39, 74)(40, 76)(41, 77)(42, 80)(43, 81)(44, 84)(47, 89)(48, 90)(50, 94)(51, 95)(52, 98)(53, 99)(56, 103)(57, 104)(58, 107)(61, 110)(62, 112)(65, 115)(66, 116)(67, 117)(68, 83)(70, 108)(71, 113)(72, 109)(73, 114)(75, 105)(78, 118)(79, 129)(82, 134)(85, 137)(86, 138)(87, 141)(88, 142)(91, 145)(92, 146)(93, 148)(96, 149)(97, 151)(100, 152)(101, 153)(102, 154)(106, 144)(111, 135)(119, 150)(120, 143)(121, 139)(122, 140)(123, 136)(124, 147)(125, 155)(126, 156)(127, 157)(128, 158)(130, 159)(131, 160)(132, 161)(133, 162)
	local type(s) :: { ( 9^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2233
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 27 e = 81 f = 18
	degree seq :: [ 6^27 ]

E19.2236 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 9})
Quotient :: regular
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1 * T2 * T1^2)^2, (T2 * T1^-3)^3, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1 * T2 * T1 * T2 * T1^-2)^2, T1 * T2 * 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, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 58, 96, 61, 32)(17, 33, 62, 80, 45, 34)(21, 40, 71, 84, 73, 41)(22, 42, 74, 55, 77, 43)(26, 50, 38, 70, 88, 51)(27, 52, 89, 115, 75, 53)(30, 56, 93, 119, 95, 57)(35, 65, 105, 125, 85, 49)(37, 68, 76, 116, 110, 69)(46, 81, 120, 113, 72, 82)(54, 92, 133, 111, 118, 79)(59, 97, 64, 104, 122, 98)(60, 90, 131, 112, 117, 99)(63, 102, 114, 83, 123, 103)(67, 107, 128, 87, 121, 108)(86, 126, 91, 132, 109, 127)(94, 136, 153, 143, 106, 129)(100, 140, 158, 142, 155, 135)(101, 124, 148, 138, 154, 134)(130, 145, 159, 150, 160, 147)(137, 156, 139, 146, 141, 157)(144, 152, 162, 149, 161, 151)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 67)(39, 56)(40, 72)(41, 58)(42, 75)(43, 76)(44, 79)(47, 83)(48, 84)(50, 86)(51, 87)(52, 90)(53, 91)(57, 94)(61, 100)(62, 101)(65, 106)(66, 78)(68, 109)(69, 103)(70, 111)(71, 112)(73, 107)(74, 114)(77, 117)(80, 119)(81, 121)(82, 122)(85, 124)(88, 129)(89, 130)(92, 134)(93, 135)(95, 116)(96, 125)(97, 137)(98, 138)(99, 139)(102, 141)(104, 142)(105, 115)(108, 140)(110, 144)(113, 133)(118, 145)(120, 146)(123, 147)(126, 149)(127, 150)(128, 151)(131, 152)(132, 153)(136, 154)(143, 158)(148, 160)(155, 162)(156, 159)(157, 161)
	local type(s) :: { ( 9^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2234
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 27 e = 81 f = 18
	degree seq :: [ 6^27 ]

E19.2237 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 9})
Quotient :: edge
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-2 * T1 * T2^-1)^3, T2^-1 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 71, 39, 20)(11, 22, 43, 82, 45, 23)(13, 26, 50, 95, 52, 27)(17, 33, 63, 114, 65, 34)(21, 40, 76, 107, 78, 41)(24, 46, 87, 140, 89, 47)(28, 53, 100, 133, 102, 54)(29, 55, 103, 155, 104, 56)(31, 59, 108, 157, 109, 60)(35, 66, 91, 48, 90, 67)(36, 68, 119, 158, 120, 69)(38, 72, 122, 156, 123, 73)(42, 79, 129, 159, 130, 80)(44, 83, 134, 161, 135, 84)(49, 92, 145, 162, 146, 93)(51, 96, 148, 160, 149, 97)(57, 105, 144, 121, 70, 106)(61, 110, 143, 124, 74, 111)(62, 112, 154, 101, 153, 113)(64, 115, 142, 88, 141, 116)(75, 125, 152, 99, 151, 126)(77, 127, 139, 86, 138, 128)(81, 131, 118, 147, 94, 132)(85, 136, 117, 150, 98, 137)(163, 164)(165, 169)(166, 171)(167, 173)(168, 175)(170, 179)(172, 183)(174, 186)(176, 190)(177, 191)(178, 193)(180, 197)(181, 198)(182, 200)(184, 204)(185, 206)(187, 210)(188, 211)(189, 213)(192, 219)(194, 223)(195, 224)(196, 226)(199, 232)(201, 236)(202, 237)(203, 239)(205, 243)(207, 247)(208, 248)(209, 250)(212, 256)(214, 260)(215, 261)(216, 263)(217, 241)(218, 254)(220, 269)(221, 245)(222, 258)(225, 249)(227, 262)(228, 279)(229, 280)(230, 242)(231, 255)(233, 276)(234, 246)(235, 259)(238, 251)(240, 264)(244, 295)(252, 305)(253, 306)(257, 302)(265, 300)(266, 313)(267, 318)(268, 294)(270, 301)(271, 314)(272, 320)(273, 299)(274, 291)(275, 296)(277, 307)(278, 310)(281, 303)(282, 315)(283, 319)(284, 304)(285, 316)(286, 317)(287, 292)(288, 297)(289, 308)(290, 311)(293, 322)(298, 324)(309, 323)(312, 321)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 18, 18 ), ( 18^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2245
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 162 f = 18
	degree seq :: [ 2^81, 6^27 ]

E19.2238 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 9})
Quotient :: edge
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2 * T1 * T2^2)^2, T2^2 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2, (T2 * T1 * T2^-1 * T1)^3, (T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 57, 32, 16)(9, 19, 37, 69, 39, 20)(11, 22, 43, 76, 45, 23)(13, 26, 50, 88, 52, 27)(17, 33, 61, 102, 63, 34)(21, 40, 72, 96, 73, 41)(24, 46, 80, 123, 82, 47)(28, 53, 91, 117, 92, 54)(29, 55, 38, 70, 95, 56)(31, 58, 97, 134, 99, 59)(35, 64, 84, 48, 83, 65)(36, 66, 106, 126, 108, 67)(42, 74, 51, 89, 116, 75)(44, 77, 118, 113, 120, 78)(49, 85, 127, 105, 129, 86)(60, 100, 141, 111, 142, 101)(62, 103, 143, 112, 71, 104)(68, 109, 138, 94, 137, 110)(79, 121, 151, 132, 152, 122)(81, 124, 153, 133, 90, 125)(87, 130, 148, 115, 147, 131)(93, 135, 98, 140, 107, 136)(114, 145, 119, 150, 128, 146)(139, 158, 159, 156, 161, 154)(144, 149, 162, 155, 160, 157)(163, 164)(165, 169)(166, 171)(167, 173)(168, 175)(170, 179)(172, 183)(174, 186)(176, 190)(177, 191)(178, 193)(180, 197)(181, 198)(182, 200)(184, 204)(185, 206)(187, 210)(188, 211)(189, 213)(192, 216)(194, 222)(195, 214)(196, 224)(199, 230)(201, 208)(202, 233)(203, 205)(207, 241)(209, 243)(212, 249)(215, 252)(217, 255)(218, 256)(219, 258)(220, 239)(221, 260)(223, 263)(225, 267)(226, 261)(227, 268)(228, 269)(229, 248)(231, 264)(232, 273)(234, 275)(235, 271)(236, 276)(237, 277)(238, 279)(240, 281)(242, 284)(244, 288)(245, 282)(246, 289)(247, 290)(250, 285)(251, 294)(253, 296)(254, 292)(257, 287)(259, 301)(262, 293)(265, 299)(266, 278)(270, 306)(272, 283)(274, 303)(280, 311)(286, 309)(291, 316)(295, 313)(297, 317)(298, 318)(300, 319)(302, 315)(304, 320)(305, 312)(307, 321)(308, 322)(310, 323)(314, 324)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 18, 18 ), ( 18^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2246
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 162 f = 18
	degree seq :: [ 2^81, 6^27 ]

E19.2239 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 9})
Quotient :: edge
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T1^6, T2 * T1^-1 * T2^-4 * T1^-1 * T2, T1^-1 * T2^2 * T1^-1 * T2^5, (T1 * T2^-1 * T1)^3, T1^-1 * T2^3 * T1^2 * T2^-3 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 62, 53, 38, 15, 5)(2, 7, 19, 46, 27, 64, 54, 22, 8)(4, 12, 31, 63, 83, 37, 59, 24, 9)(6, 17, 41, 89, 47, 98, 95, 44, 18)(11, 28, 67, 81, 36, 14, 35, 61, 25)(13, 33, 75, 119, 114, 58, 113, 71, 30)(16, 39, 84, 133, 90, 126, 137, 87, 40)(20, 48, 101, 65, 52, 21, 51, 97, 45)(23, 56, 109, 72, 32, 73, 82, 111, 57)(29, 69, 80, 131, 138, 118, 79, 120, 66)(34, 77, 117, 60, 116, 156, 121, 68, 78)(42, 91, 142, 99, 94, 43, 93, 139, 88)(49, 103, 106, 115, 155, 148, 105, 149, 100)(50, 104, 147, 96, 146, 110, 150, 102, 74)(55, 107, 151, 127, 152, 158, 130, 128, 108)(70, 124, 157, 129, 76, 122, 112, 154, 125)(85, 134, 159, 140, 136, 86, 135, 161, 132)(92, 123, 144, 145, 160, 162, 143, 153, 141)(163, 164, 168, 178, 175, 166)(165, 171, 185, 217, 191, 173)(167, 176, 196, 211, 182, 169)(170, 183, 212, 254, 204, 179)(172, 187, 222, 277, 227, 189)(174, 192, 232, 285, 236, 194)(177, 199, 244, 292, 241, 197)(180, 205, 231, 270, 247, 201)(181, 207, 258, 307, 261, 209)(184, 215, 229, 283, 267, 213)(186, 220, 274, 315, 272, 218)(188, 208, 251, 295, 281, 225)(190, 228, 253, 303, 284, 230)(193, 234, 289, 293, 243, 224)(195, 202, 248, 265, 240, 238)(198, 242, 256, 306, 287, 239)(200, 216, 257, 299, 275, 221)(203, 250, 300, 313, 302, 252)(206, 226, 263, 312, 305, 255)(210, 262, 296, 290, 235, 264)(214, 268, 298, 269, 219, 266)(223, 280, 301, 324, 319, 278)(233, 288, 321, 311, 318, 286)(237, 291, 322, 309, 273, 245)(246, 294, 317, 279, 316, 276)(249, 260, 304, 282, 320, 297)(259, 310, 323, 314, 271, 308)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 4^6 ), ( 4^9 ) }
Outer automorphisms :: reflexible
Dual of E19.2247
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 162 f = 81
	degree seq :: [ 6^27, 9^18 ]

E19.2240 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 9})
Quotient :: edge
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T1 * T2^-2)^2, T1^6, T2^9, (T1 * T2^-1 * T1)^3, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-2 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 56, 69, 35, 15, 5)(2, 7, 19, 43, 82, 88, 48, 22, 8)(4, 12, 30, 63, 110, 96, 53, 24, 9)(6, 17, 38, 75, 121, 124, 79, 41, 18)(11, 27, 14, 34, 67, 113, 100, 55, 25)(13, 32, 52, 95, 139, 147, 107, 61, 29)(16, 36, 70, 115, 152, 154, 118, 73, 37)(20, 44, 21, 47, 86, 132, 128, 81, 42)(23, 50, 91, 136, 149, 109, 62, 31, 51)(28, 59, 99, 143, 119, 112, 68, 102, 57)(33, 58, 98, 54, 97, 140, 150, 111, 66)(39, 76, 40, 78, 101, 145, 155, 120, 74)(45, 85, 127, 157, 151, 131, 87, 130, 83)(46, 84, 126, 80, 125, 92, 137, 93, 64)(49, 89, 133, 108, 148, 153, 160, 135, 90)(60, 105, 141, 162, 142, 103, 94, 65, 106)(71, 116, 72, 117, 129, 158, 159, 134, 114)(77, 104, 146, 161, 138, 144, 123, 156, 122)(163, 164, 168, 178, 175, 166)(165, 171, 185, 211, 190, 173)(167, 176, 195, 207, 182, 169)(170, 183, 208, 239, 201, 179)(172, 187, 216, 249, 209, 184)(174, 191, 222, 266, 226, 193)(177, 192, 224, 270, 230, 196)(180, 202, 221, 252, 233, 198)(181, 204, 242, 285, 240, 203)(186, 214, 256, 300, 254, 212)(188, 210, 237, 280, 257, 215)(189, 219, 263, 306, 265, 220)(194, 199, 234, 247, 228, 227)(197, 205, 241, 277, 269, 225)(200, 236, 281, 315, 279, 235)(206, 245, 291, 310, 271, 246)(213, 255, 248, 293, 296, 251)(217, 261, 238, 284, 303, 259)(218, 258, 298, 322, 305, 262)(223, 232, 276, 313, 302, 267)(229, 274, 282, 308, 268, 273)(231, 275, 312, 319, 290, 244)(243, 289, 278, 297, 253, 287)(250, 294, 299, 323, 317, 283)(260, 304, 301, 316, 320, 292)(264, 295, 321, 314, 286, 307)(272, 309, 324, 318, 288, 311)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 4^6 ), ( 4^9 ) }
Outer automorphisms :: reflexible
Dual of E19.2248
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 162 f = 81
	degree seq :: [ 6^27, 9^18 ]

E19.2241 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 9})
Quotient :: edge
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^3 * T2 * T1^-1, T1^9, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1^-1)^6, T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 36)(19, 38)(20, 39)(22, 37)(23, 43)(25, 46)(26, 47)(27, 48)(30, 53)(32, 57)(33, 58)(34, 60)(35, 61)(40, 69)(41, 71)(42, 70)(44, 73)(45, 74)(49, 82)(50, 83)(51, 85)(52, 86)(54, 90)(55, 91)(56, 92)(59, 96)(62, 100)(63, 102)(64, 101)(65, 104)(66, 98)(67, 106)(68, 93)(72, 110)(75, 112)(76, 113)(77, 114)(78, 115)(79, 116)(80, 117)(81, 118)(84, 121)(87, 124)(88, 125)(89, 127)(94, 132)(95, 134)(97, 136)(99, 138)(103, 141)(105, 144)(107, 145)(108, 139)(109, 142)(111, 133)(119, 148)(120, 149)(122, 150)(123, 151)(126, 130)(128, 153)(129, 154)(131, 155)(135, 158)(137, 161)(140, 159)(143, 162)(146, 156)(147, 157)(152, 160)(163, 164, 167, 173, 185, 204, 184, 172, 166)(165, 169, 177, 186, 206, 226, 199, 180, 170)(168, 175, 189, 205, 234, 203, 183, 192, 176)(171, 181, 188, 174, 187, 207, 232, 202, 182)(178, 194, 218, 235, 265, 225, 198, 221, 195)(179, 196, 217, 193, 216, 251, 263, 224, 197)(190, 211, 243, 272, 288, 250, 215, 246, 212)(191, 213, 242, 210, 241, 271, 233, 249, 214)(200, 227, 238, 208, 237, 270, 231, 267, 228)(201, 229, 240, 209, 239, 273, 236, 269, 230)(219, 255, 293, 303, 277, 297, 258, 295, 256)(220, 247, 284, 254, 278, 302, 264, 286, 257)(222, 259, 275, 252, 290, 301, 262, 299, 260)(223, 261, 292, 253, 291, 283, 289, 281, 244)(245, 276, 309, 280, 307, 314, 287, 268, 282)(248, 285, 306, 279, 305, 266, 304, 308, 274)(294, 316, 313, 317, 310, 324, 320, 300, 318)(296, 319, 323, 312, 322, 298, 321, 311, 315)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12, 12 ), ( 12^9 ) }
Outer automorphisms :: reflexible
Dual of E19.2243
Transitivity :: ET+
Graph:: simple bipartite
	v = 99 e = 162 f = 27
	degree seq :: [ 2^81, 9^18 ]

E19.2242 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 9})
Quotient :: edge
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-2)^2, (T1^-2 * T2 * T1^-1)^2, T1^9, (T2 * T1^-1)^6, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1 * T2 * T1 * T2 * T1^-2)^2, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 39)(20, 40)(22, 31)(23, 43)(25, 45)(26, 46)(27, 48)(30, 53)(33, 58)(34, 59)(35, 62)(36, 63)(38, 66)(41, 72)(42, 65)(44, 73)(47, 78)(49, 82)(50, 83)(51, 86)(52, 87)(54, 89)(55, 90)(56, 91)(57, 93)(60, 97)(61, 98)(64, 103)(67, 106)(68, 100)(69, 108)(70, 94)(71, 109)(74, 112)(75, 113)(76, 114)(77, 115)(79, 116)(80, 117)(81, 119)(84, 122)(85, 123)(88, 126)(92, 130)(95, 134)(96, 135)(99, 137)(101, 139)(102, 140)(104, 142)(105, 136)(107, 143)(110, 145)(111, 128)(118, 131)(120, 149)(121, 150)(124, 151)(125, 152)(127, 153)(129, 154)(132, 155)(133, 156)(138, 159)(141, 161)(144, 162)(146, 160)(147, 158)(148, 157)(163, 164, 167, 173, 185, 204, 184, 172, 166)(165, 169, 177, 193, 216, 206, 186, 180, 170)(168, 175, 189, 183, 203, 233, 205, 192, 176)(171, 181, 200, 227, 209, 188, 174, 187, 182)(178, 195, 219, 199, 226, 264, 251, 222, 196)(179, 197, 223, 235, 254, 218, 194, 217, 198)(190, 211, 243, 215, 250, 272, 234, 246, 212)(191, 213, 247, 271, 280, 242, 210, 241, 214)(201, 229, 237, 207, 236, 273, 240, 269, 230)(202, 231, 239, 208, 238, 267, 228, 266, 232)(220, 256, 295, 259, 298, 303, 265, 277, 257)(221, 248, 286, 302, 278, 294, 255, 293, 258)(224, 261, 290, 252, 289, 275, 292, 300, 262)(225, 263, 284, 253, 291, 288, 260, 282, 244)(245, 276, 309, 307, 270, 306, 281, 304, 283)(249, 287, 268, 279, 310, 305, 285, 308, 274)(296, 316, 314, 323, 301, 322, 318, 311, 319)(297, 320, 299, 317, 312, 321, 313, 324, 315)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12, 12 ), ( 12^9 ) }
Outer automorphisms :: reflexible
Dual of E19.2244
Transitivity :: ET+
Graph:: simple bipartite
	v = 99 e = 162 f = 27
	degree seq :: [ 2^81, 9^18 ]

E19.2243 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 9})
Quotient :: loop
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-2 * T1 * T2^-1)^3, T2^-1 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 163, 3, 165, 8, 170, 18, 180, 10, 172, 4, 166)(2, 164, 5, 167, 12, 174, 25, 187, 14, 176, 6, 168)(7, 169, 15, 177, 30, 192, 58, 220, 32, 194, 16, 178)(9, 171, 19, 181, 37, 199, 71, 233, 39, 201, 20, 182)(11, 173, 22, 184, 43, 205, 82, 244, 45, 207, 23, 185)(13, 175, 26, 188, 50, 212, 95, 257, 52, 214, 27, 189)(17, 179, 33, 195, 63, 225, 114, 276, 65, 227, 34, 196)(21, 183, 40, 202, 76, 238, 107, 269, 78, 240, 41, 203)(24, 186, 46, 208, 87, 249, 140, 302, 89, 251, 47, 209)(28, 190, 53, 215, 100, 262, 133, 295, 102, 264, 54, 216)(29, 191, 55, 217, 103, 265, 155, 317, 104, 266, 56, 218)(31, 193, 59, 221, 108, 270, 157, 319, 109, 271, 60, 222)(35, 197, 66, 228, 91, 253, 48, 210, 90, 252, 67, 229)(36, 198, 68, 230, 119, 281, 158, 320, 120, 282, 69, 231)(38, 200, 72, 234, 122, 284, 156, 318, 123, 285, 73, 235)(42, 204, 79, 241, 129, 291, 159, 321, 130, 292, 80, 242)(44, 206, 83, 245, 134, 296, 161, 323, 135, 297, 84, 246)(49, 211, 92, 254, 145, 307, 162, 324, 146, 308, 93, 255)(51, 213, 96, 258, 148, 310, 160, 322, 149, 311, 97, 259)(57, 219, 105, 267, 144, 306, 121, 283, 70, 232, 106, 268)(61, 223, 110, 272, 143, 305, 124, 286, 74, 236, 111, 273)(62, 224, 112, 274, 154, 316, 101, 263, 153, 315, 113, 275)(64, 226, 115, 277, 142, 304, 88, 250, 141, 303, 116, 278)(75, 237, 125, 287, 152, 314, 99, 261, 151, 313, 126, 288)(77, 239, 127, 289, 139, 301, 86, 248, 138, 300, 128, 290)(81, 243, 131, 293, 118, 280, 147, 309, 94, 256, 132, 294)(85, 247, 136, 298, 117, 279, 150, 312, 98, 260, 137, 299)
	L = (1, 164)(2, 163)(3, 169)(4, 171)(5, 173)(6, 175)(7, 165)(8, 179)(9, 166)(10, 183)(11, 167)(12, 186)(13, 168)(14, 190)(15, 191)(16, 193)(17, 170)(18, 197)(19, 198)(20, 200)(21, 172)(22, 204)(23, 206)(24, 174)(25, 210)(26, 211)(27, 213)(28, 176)(29, 177)(30, 219)(31, 178)(32, 223)(33, 224)(34, 226)(35, 180)(36, 181)(37, 232)(38, 182)(39, 236)(40, 237)(41, 239)(42, 184)(43, 243)(44, 185)(45, 247)(46, 248)(47, 250)(48, 187)(49, 188)(50, 256)(51, 189)(52, 260)(53, 261)(54, 263)(55, 241)(56, 254)(57, 192)(58, 269)(59, 245)(60, 258)(61, 194)(62, 195)(63, 249)(64, 196)(65, 262)(66, 279)(67, 280)(68, 242)(69, 255)(70, 199)(71, 276)(72, 246)(73, 259)(74, 201)(75, 202)(76, 251)(77, 203)(78, 264)(79, 217)(80, 230)(81, 205)(82, 295)(83, 221)(84, 234)(85, 207)(86, 208)(87, 225)(88, 209)(89, 238)(90, 305)(91, 306)(92, 218)(93, 231)(94, 212)(95, 302)(96, 222)(97, 235)(98, 214)(99, 215)(100, 227)(101, 216)(102, 240)(103, 300)(104, 313)(105, 318)(106, 294)(107, 220)(108, 301)(109, 314)(110, 320)(111, 299)(112, 291)(113, 296)(114, 233)(115, 307)(116, 310)(117, 228)(118, 229)(119, 303)(120, 315)(121, 319)(122, 304)(123, 316)(124, 317)(125, 292)(126, 297)(127, 308)(128, 311)(129, 274)(130, 287)(131, 322)(132, 268)(133, 244)(134, 275)(135, 288)(136, 324)(137, 273)(138, 265)(139, 270)(140, 257)(141, 281)(142, 284)(143, 252)(144, 253)(145, 277)(146, 289)(147, 323)(148, 278)(149, 290)(150, 321)(151, 266)(152, 271)(153, 282)(154, 285)(155, 286)(156, 267)(157, 283)(158, 272)(159, 312)(160, 293)(161, 309)(162, 298)
	local type(s) :: { ( 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.2241
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 162 f = 99
	degree seq :: [ 12^27 ]

E19.2244 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 9})
Quotient :: loop
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2 * T1 * T2^2)^2, T2^2 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2, (T2 * T1 * T2^-1 * T1)^3, (T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 163, 3, 165, 8, 170, 18, 180, 10, 172, 4, 166)(2, 164, 5, 167, 12, 174, 25, 187, 14, 176, 6, 168)(7, 169, 15, 177, 30, 192, 57, 219, 32, 194, 16, 178)(9, 171, 19, 181, 37, 199, 69, 231, 39, 201, 20, 182)(11, 173, 22, 184, 43, 205, 76, 238, 45, 207, 23, 185)(13, 175, 26, 188, 50, 212, 88, 250, 52, 214, 27, 189)(17, 179, 33, 195, 61, 223, 102, 264, 63, 225, 34, 196)(21, 183, 40, 202, 72, 234, 96, 258, 73, 235, 41, 203)(24, 186, 46, 208, 80, 242, 123, 285, 82, 244, 47, 209)(28, 190, 53, 215, 91, 253, 117, 279, 92, 254, 54, 216)(29, 191, 55, 217, 38, 200, 70, 232, 95, 257, 56, 218)(31, 193, 58, 220, 97, 259, 134, 296, 99, 261, 59, 221)(35, 197, 64, 226, 84, 246, 48, 210, 83, 245, 65, 227)(36, 198, 66, 228, 106, 268, 126, 288, 108, 270, 67, 229)(42, 204, 74, 236, 51, 213, 89, 251, 116, 278, 75, 237)(44, 206, 77, 239, 118, 280, 113, 275, 120, 282, 78, 240)(49, 211, 85, 247, 127, 289, 105, 267, 129, 291, 86, 248)(60, 222, 100, 262, 141, 303, 111, 273, 142, 304, 101, 263)(62, 224, 103, 265, 143, 305, 112, 274, 71, 233, 104, 266)(68, 230, 109, 271, 138, 300, 94, 256, 137, 299, 110, 272)(79, 241, 121, 283, 151, 313, 132, 294, 152, 314, 122, 284)(81, 243, 124, 286, 153, 315, 133, 295, 90, 252, 125, 287)(87, 249, 130, 292, 148, 310, 115, 277, 147, 309, 131, 293)(93, 255, 135, 297, 98, 260, 140, 302, 107, 269, 136, 298)(114, 276, 145, 307, 119, 281, 150, 312, 128, 290, 146, 308)(139, 301, 158, 320, 159, 321, 156, 318, 161, 323, 154, 316)(144, 306, 149, 311, 162, 324, 155, 317, 160, 322, 157, 319)
	L = (1, 164)(2, 163)(3, 169)(4, 171)(5, 173)(6, 175)(7, 165)(8, 179)(9, 166)(10, 183)(11, 167)(12, 186)(13, 168)(14, 190)(15, 191)(16, 193)(17, 170)(18, 197)(19, 198)(20, 200)(21, 172)(22, 204)(23, 206)(24, 174)(25, 210)(26, 211)(27, 213)(28, 176)(29, 177)(30, 216)(31, 178)(32, 222)(33, 214)(34, 224)(35, 180)(36, 181)(37, 230)(38, 182)(39, 208)(40, 233)(41, 205)(42, 184)(43, 203)(44, 185)(45, 241)(46, 201)(47, 243)(48, 187)(49, 188)(50, 249)(51, 189)(52, 195)(53, 252)(54, 192)(55, 255)(56, 256)(57, 258)(58, 239)(59, 260)(60, 194)(61, 263)(62, 196)(63, 267)(64, 261)(65, 268)(66, 269)(67, 248)(68, 199)(69, 264)(70, 273)(71, 202)(72, 275)(73, 271)(74, 276)(75, 277)(76, 279)(77, 220)(78, 281)(79, 207)(80, 284)(81, 209)(82, 288)(83, 282)(84, 289)(85, 290)(86, 229)(87, 212)(88, 285)(89, 294)(90, 215)(91, 296)(92, 292)(93, 217)(94, 218)(95, 287)(96, 219)(97, 301)(98, 221)(99, 226)(100, 293)(101, 223)(102, 231)(103, 299)(104, 278)(105, 225)(106, 227)(107, 228)(108, 306)(109, 235)(110, 283)(111, 232)(112, 303)(113, 234)(114, 236)(115, 237)(116, 266)(117, 238)(118, 311)(119, 240)(120, 245)(121, 272)(122, 242)(123, 250)(124, 309)(125, 257)(126, 244)(127, 246)(128, 247)(129, 316)(130, 254)(131, 262)(132, 251)(133, 313)(134, 253)(135, 317)(136, 318)(137, 265)(138, 319)(139, 259)(140, 315)(141, 274)(142, 320)(143, 312)(144, 270)(145, 321)(146, 322)(147, 286)(148, 323)(149, 280)(150, 305)(151, 295)(152, 324)(153, 302)(154, 291)(155, 297)(156, 298)(157, 300)(158, 304)(159, 307)(160, 308)(161, 310)(162, 314)
	local type(s) :: { ( 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.2242
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 162 f = 99
	degree seq :: [ 12^27 ]

E19.2245 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 9})
Quotient :: loop
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T1^6, T2 * T1^-1 * T2^-4 * T1^-1 * T2, T1^-1 * T2^2 * T1^-1 * T2^5, (T1 * T2^-1 * T1)^3, T1^-1 * T2^3 * T1^2 * T2^-3 * T1^-1 ]
Map::
	R = (1, 163, 3, 165, 10, 172, 26, 188, 62, 224, 53, 215, 38, 200, 15, 177, 5, 167)(2, 164, 7, 169, 19, 181, 46, 208, 27, 189, 64, 226, 54, 216, 22, 184, 8, 170)(4, 166, 12, 174, 31, 193, 63, 225, 83, 245, 37, 199, 59, 221, 24, 186, 9, 171)(6, 168, 17, 179, 41, 203, 89, 251, 47, 209, 98, 260, 95, 257, 44, 206, 18, 180)(11, 173, 28, 190, 67, 229, 81, 243, 36, 198, 14, 176, 35, 197, 61, 223, 25, 187)(13, 175, 33, 195, 75, 237, 119, 281, 114, 276, 58, 220, 113, 275, 71, 233, 30, 192)(16, 178, 39, 201, 84, 246, 133, 295, 90, 252, 126, 288, 137, 299, 87, 249, 40, 202)(20, 182, 48, 210, 101, 263, 65, 227, 52, 214, 21, 183, 51, 213, 97, 259, 45, 207)(23, 185, 56, 218, 109, 271, 72, 234, 32, 194, 73, 235, 82, 244, 111, 273, 57, 219)(29, 191, 69, 231, 80, 242, 131, 293, 138, 300, 118, 280, 79, 241, 120, 282, 66, 228)(34, 196, 77, 239, 117, 279, 60, 222, 116, 278, 156, 318, 121, 283, 68, 230, 78, 240)(42, 204, 91, 253, 142, 304, 99, 261, 94, 256, 43, 205, 93, 255, 139, 301, 88, 250)(49, 211, 103, 265, 106, 268, 115, 277, 155, 317, 148, 310, 105, 267, 149, 311, 100, 262)(50, 212, 104, 266, 147, 309, 96, 258, 146, 308, 110, 272, 150, 312, 102, 264, 74, 236)(55, 217, 107, 269, 151, 313, 127, 289, 152, 314, 158, 320, 130, 292, 128, 290, 108, 270)(70, 232, 124, 286, 157, 319, 129, 291, 76, 238, 122, 284, 112, 274, 154, 316, 125, 287)(85, 247, 134, 296, 159, 321, 140, 302, 136, 298, 86, 248, 135, 297, 161, 323, 132, 294)(92, 254, 123, 285, 144, 306, 145, 307, 160, 322, 162, 324, 143, 305, 153, 315, 141, 303)
	L = (1, 164)(2, 168)(3, 171)(4, 163)(5, 176)(6, 178)(7, 167)(8, 183)(9, 185)(10, 187)(11, 165)(12, 192)(13, 166)(14, 196)(15, 199)(16, 175)(17, 170)(18, 205)(19, 207)(20, 169)(21, 212)(22, 215)(23, 217)(24, 220)(25, 222)(26, 208)(27, 172)(28, 228)(29, 173)(30, 232)(31, 234)(32, 174)(33, 202)(34, 211)(35, 177)(36, 242)(37, 244)(38, 216)(39, 180)(40, 248)(41, 250)(42, 179)(43, 231)(44, 226)(45, 258)(46, 251)(47, 181)(48, 262)(49, 182)(50, 254)(51, 184)(52, 268)(53, 229)(54, 257)(55, 191)(56, 186)(57, 266)(58, 274)(59, 200)(60, 277)(61, 280)(62, 193)(63, 188)(64, 263)(65, 189)(66, 253)(67, 283)(68, 190)(69, 270)(70, 285)(71, 288)(72, 289)(73, 264)(74, 194)(75, 291)(76, 195)(77, 198)(78, 238)(79, 197)(80, 256)(81, 224)(82, 292)(83, 237)(84, 294)(85, 201)(86, 265)(87, 260)(88, 300)(89, 295)(90, 203)(91, 303)(92, 204)(93, 206)(94, 306)(95, 299)(96, 307)(97, 310)(98, 304)(99, 209)(100, 296)(101, 312)(102, 210)(103, 240)(104, 214)(105, 213)(106, 298)(107, 219)(108, 247)(109, 308)(110, 218)(111, 245)(112, 315)(113, 221)(114, 246)(115, 227)(116, 223)(117, 316)(118, 301)(119, 225)(120, 320)(121, 267)(122, 230)(123, 236)(124, 233)(125, 239)(126, 321)(127, 293)(128, 235)(129, 322)(130, 241)(131, 243)(132, 317)(133, 281)(134, 290)(135, 249)(136, 269)(137, 275)(138, 313)(139, 324)(140, 252)(141, 284)(142, 282)(143, 255)(144, 287)(145, 261)(146, 259)(147, 273)(148, 323)(149, 318)(150, 305)(151, 302)(152, 271)(153, 272)(154, 276)(155, 279)(156, 286)(157, 278)(158, 297)(159, 311)(160, 309)(161, 314)(162, 319)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2237
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 162 f = 108
	degree seq :: [ 18^18 ]

E19.2246 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 9})
Quotient :: loop
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T1 * T2^-2)^2, T1^6, T2^9, (T1 * T2^-1 * T1)^3, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-2 * T2^-2 * T1^-1 ]
Map::
	R = (1, 163, 3, 165, 10, 172, 26, 188, 56, 218, 69, 231, 35, 197, 15, 177, 5, 167)(2, 164, 7, 169, 19, 181, 43, 205, 82, 244, 88, 250, 48, 210, 22, 184, 8, 170)(4, 166, 12, 174, 30, 192, 63, 225, 110, 272, 96, 258, 53, 215, 24, 186, 9, 171)(6, 168, 17, 179, 38, 200, 75, 237, 121, 283, 124, 286, 79, 241, 41, 203, 18, 180)(11, 173, 27, 189, 14, 176, 34, 196, 67, 229, 113, 275, 100, 262, 55, 217, 25, 187)(13, 175, 32, 194, 52, 214, 95, 257, 139, 301, 147, 309, 107, 269, 61, 223, 29, 191)(16, 178, 36, 198, 70, 232, 115, 277, 152, 314, 154, 316, 118, 280, 73, 235, 37, 199)(20, 182, 44, 206, 21, 183, 47, 209, 86, 248, 132, 294, 128, 290, 81, 243, 42, 204)(23, 185, 50, 212, 91, 253, 136, 298, 149, 311, 109, 271, 62, 224, 31, 193, 51, 213)(28, 190, 59, 221, 99, 261, 143, 305, 119, 281, 112, 274, 68, 230, 102, 264, 57, 219)(33, 195, 58, 220, 98, 260, 54, 216, 97, 259, 140, 302, 150, 312, 111, 273, 66, 228)(39, 201, 76, 238, 40, 202, 78, 240, 101, 263, 145, 307, 155, 317, 120, 282, 74, 236)(45, 207, 85, 247, 127, 289, 157, 319, 151, 313, 131, 293, 87, 249, 130, 292, 83, 245)(46, 208, 84, 246, 126, 288, 80, 242, 125, 287, 92, 254, 137, 299, 93, 255, 64, 226)(49, 211, 89, 251, 133, 295, 108, 270, 148, 310, 153, 315, 160, 322, 135, 297, 90, 252)(60, 222, 105, 267, 141, 303, 162, 324, 142, 304, 103, 265, 94, 256, 65, 227, 106, 268)(71, 233, 116, 278, 72, 234, 117, 279, 129, 291, 158, 320, 159, 321, 134, 296, 114, 276)(77, 239, 104, 266, 146, 308, 161, 323, 138, 300, 144, 306, 123, 285, 156, 318, 122, 284)
	L = (1, 164)(2, 168)(3, 171)(4, 163)(5, 176)(6, 178)(7, 167)(8, 183)(9, 185)(10, 187)(11, 165)(12, 191)(13, 166)(14, 195)(15, 192)(16, 175)(17, 170)(18, 202)(19, 204)(20, 169)(21, 208)(22, 172)(23, 211)(24, 214)(25, 216)(26, 210)(27, 219)(28, 173)(29, 222)(30, 224)(31, 174)(32, 199)(33, 207)(34, 177)(35, 205)(36, 180)(37, 234)(38, 236)(39, 179)(40, 221)(41, 181)(42, 242)(43, 241)(44, 245)(45, 182)(46, 239)(47, 184)(48, 237)(49, 190)(50, 186)(51, 255)(52, 256)(53, 188)(54, 249)(55, 261)(56, 258)(57, 263)(58, 189)(59, 252)(60, 266)(61, 232)(62, 270)(63, 197)(64, 193)(65, 194)(66, 227)(67, 274)(68, 196)(69, 275)(70, 276)(71, 198)(72, 247)(73, 200)(74, 281)(75, 280)(76, 284)(77, 201)(78, 203)(79, 277)(80, 285)(81, 289)(82, 231)(83, 291)(84, 206)(85, 228)(86, 293)(87, 209)(88, 294)(89, 213)(90, 233)(91, 287)(92, 212)(93, 248)(94, 300)(95, 215)(96, 298)(97, 217)(98, 304)(99, 238)(100, 218)(101, 306)(102, 295)(103, 220)(104, 226)(105, 223)(106, 273)(107, 225)(108, 230)(109, 246)(110, 309)(111, 229)(112, 282)(113, 312)(114, 313)(115, 269)(116, 297)(117, 235)(118, 257)(119, 315)(120, 308)(121, 250)(122, 303)(123, 240)(124, 307)(125, 243)(126, 311)(127, 278)(128, 244)(129, 310)(130, 260)(131, 296)(132, 299)(133, 321)(134, 251)(135, 253)(136, 322)(137, 323)(138, 254)(139, 316)(140, 267)(141, 259)(142, 301)(143, 262)(144, 265)(145, 264)(146, 268)(147, 324)(148, 271)(149, 272)(150, 319)(151, 302)(152, 286)(153, 279)(154, 320)(155, 283)(156, 288)(157, 290)(158, 292)(159, 314)(160, 305)(161, 317)(162, 318)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2238
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 162 f = 108
	degree seq :: [ 18^18 ]

E19.2247 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 9})
Quotient :: loop
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^3 * T2 * T1^-1, T1^9, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1^-1)^6, T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165)(2, 164, 6, 168)(4, 166, 9, 171)(5, 167, 12, 174)(7, 169, 16, 178)(8, 170, 17, 179)(10, 172, 21, 183)(11, 173, 24, 186)(13, 175, 28, 190)(14, 176, 29, 191)(15, 177, 31, 193)(18, 180, 36, 198)(19, 181, 38, 200)(20, 182, 39, 201)(22, 184, 37, 199)(23, 185, 43, 205)(25, 187, 46, 208)(26, 188, 47, 209)(27, 189, 48, 210)(30, 192, 53, 215)(32, 194, 57, 219)(33, 195, 58, 220)(34, 196, 60, 222)(35, 197, 61, 223)(40, 202, 69, 231)(41, 203, 71, 233)(42, 204, 70, 232)(44, 206, 73, 235)(45, 207, 74, 236)(49, 211, 82, 244)(50, 212, 83, 245)(51, 213, 85, 247)(52, 214, 86, 248)(54, 216, 90, 252)(55, 217, 91, 253)(56, 218, 92, 254)(59, 221, 96, 258)(62, 224, 100, 262)(63, 225, 102, 264)(64, 226, 101, 263)(65, 227, 104, 266)(66, 228, 98, 260)(67, 229, 106, 268)(68, 230, 93, 255)(72, 234, 110, 272)(75, 237, 112, 274)(76, 238, 113, 275)(77, 239, 114, 276)(78, 240, 115, 277)(79, 241, 116, 278)(80, 242, 117, 279)(81, 243, 118, 280)(84, 246, 121, 283)(87, 249, 124, 286)(88, 250, 125, 287)(89, 251, 127, 289)(94, 256, 132, 294)(95, 257, 134, 296)(97, 259, 136, 298)(99, 261, 138, 300)(103, 265, 141, 303)(105, 267, 144, 306)(107, 269, 145, 307)(108, 270, 139, 301)(109, 271, 142, 304)(111, 273, 133, 295)(119, 281, 148, 310)(120, 282, 149, 311)(122, 284, 150, 312)(123, 285, 151, 313)(126, 288, 130, 292)(128, 290, 153, 315)(129, 291, 154, 316)(131, 293, 155, 317)(135, 297, 158, 320)(137, 299, 161, 323)(140, 302, 159, 321)(143, 305, 162, 324)(146, 308, 156, 318)(147, 309, 157, 319)(152, 314, 160, 322)
	L = (1, 164)(2, 167)(3, 169)(4, 163)(5, 173)(6, 175)(7, 177)(8, 165)(9, 181)(10, 166)(11, 185)(12, 187)(13, 189)(14, 168)(15, 186)(16, 194)(17, 196)(18, 170)(19, 188)(20, 171)(21, 192)(22, 172)(23, 204)(24, 206)(25, 207)(26, 174)(27, 205)(28, 211)(29, 213)(30, 176)(31, 216)(32, 218)(33, 178)(34, 217)(35, 179)(36, 221)(37, 180)(38, 227)(39, 229)(40, 182)(41, 183)(42, 184)(43, 234)(44, 226)(45, 232)(46, 237)(47, 239)(48, 241)(49, 243)(50, 190)(51, 242)(52, 191)(53, 246)(54, 251)(55, 193)(56, 235)(57, 255)(58, 247)(59, 195)(60, 259)(61, 261)(62, 197)(63, 198)(64, 199)(65, 238)(66, 200)(67, 240)(68, 201)(69, 267)(70, 202)(71, 249)(72, 203)(73, 265)(74, 269)(75, 270)(76, 208)(77, 273)(78, 209)(79, 271)(80, 210)(81, 272)(82, 223)(83, 276)(84, 212)(85, 284)(86, 285)(87, 214)(88, 215)(89, 263)(90, 290)(91, 291)(92, 278)(93, 293)(94, 219)(95, 220)(96, 295)(97, 275)(98, 222)(99, 292)(100, 299)(101, 224)(102, 286)(103, 225)(104, 304)(105, 228)(106, 282)(107, 230)(108, 231)(109, 233)(110, 288)(111, 236)(112, 248)(113, 252)(114, 309)(115, 297)(116, 302)(117, 305)(118, 307)(119, 244)(120, 245)(121, 289)(122, 254)(123, 306)(124, 257)(125, 268)(126, 250)(127, 281)(128, 301)(129, 283)(130, 253)(131, 303)(132, 316)(133, 256)(134, 319)(135, 258)(136, 321)(137, 260)(138, 318)(139, 262)(140, 264)(141, 277)(142, 308)(143, 266)(144, 279)(145, 314)(146, 274)(147, 280)(148, 324)(149, 315)(150, 322)(151, 317)(152, 287)(153, 296)(154, 313)(155, 310)(156, 294)(157, 323)(158, 300)(159, 311)(160, 298)(161, 312)(162, 320)
	local type(s) :: { ( 6, 9, 6, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.2239
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 81 e = 162 f = 45
	degree seq :: [ 4^81 ]

E19.2248 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 9})
Quotient :: loop
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-2)^2, (T1^-2 * T2 * T1^-1)^2, T1^9, (T2 * T1^-1)^6, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1 * T2 * T1 * T2 * T1^-2)^2, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165)(2, 164, 6, 168)(4, 166, 9, 171)(5, 167, 12, 174)(7, 169, 16, 178)(8, 170, 17, 179)(10, 172, 21, 183)(11, 173, 24, 186)(13, 175, 28, 190)(14, 176, 29, 191)(15, 177, 32, 194)(18, 180, 37, 199)(19, 181, 39, 201)(20, 182, 40, 202)(22, 184, 31, 193)(23, 185, 43, 205)(25, 187, 45, 207)(26, 188, 46, 208)(27, 189, 48, 210)(30, 192, 53, 215)(33, 195, 58, 220)(34, 196, 59, 221)(35, 197, 62, 224)(36, 198, 63, 225)(38, 200, 66, 228)(41, 203, 72, 234)(42, 204, 65, 227)(44, 206, 73, 235)(47, 209, 78, 240)(49, 211, 82, 244)(50, 212, 83, 245)(51, 213, 86, 248)(52, 214, 87, 249)(54, 216, 89, 251)(55, 217, 90, 252)(56, 218, 91, 253)(57, 219, 93, 255)(60, 222, 97, 259)(61, 223, 98, 260)(64, 226, 103, 265)(67, 229, 106, 268)(68, 230, 100, 262)(69, 231, 108, 270)(70, 232, 94, 256)(71, 233, 109, 271)(74, 236, 112, 274)(75, 237, 113, 275)(76, 238, 114, 276)(77, 239, 115, 277)(79, 241, 116, 278)(80, 242, 117, 279)(81, 243, 119, 281)(84, 246, 122, 284)(85, 247, 123, 285)(88, 250, 126, 288)(92, 254, 130, 292)(95, 257, 134, 296)(96, 258, 135, 297)(99, 261, 137, 299)(101, 263, 139, 301)(102, 264, 140, 302)(104, 266, 142, 304)(105, 267, 136, 298)(107, 269, 143, 305)(110, 272, 145, 307)(111, 273, 128, 290)(118, 280, 131, 293)(120, 282, 149, 311)(121, 283, 150, 312)(124, 286, 151, 313)(125, 287, 152, 314)(127, 289, 153, 315)(129, 291, 154, 316)(132, 294, 155, 317)(133, 295, 156, 318)(138, 300, 159, 321)(141, 303, 161, 323)(144, 306, 162, 324)(146, 308, 160, 322)(147, 309, 158, 320)(148, 310, 157, 319)
	L = (1, 164)(2, 167)(3, 169)(4, 163)(5, 173)(6, 175)(7, 177)(8, 165)(9, 181)(10, 166)(11, 185)(12, 187)(13, 189)(14, 168)(15, 193)(16, 195)(17, 197)(18, 170)(19, 200)(20, 171)(21, 203)(22, 172)(23, 204)(24, 180)(25, 182)(26, 174)(27, 183)(28, 211)(29, 213)(30, 176)(31, 216)(32, 217)(33, 219)(34, 178)(35, 223)(36, 179)(37, 226)(38, 227)(39, 229)(40, 231)(41, 233)(42, 184)(43, 192)(44, 186)(45, 236)(46, 238)(47, 188)(48, 241)(49, 243)(50, 190)(51, 247)(52, 191)(53, 250)(54, 206)(55, 198)(56, 194)(57, 199)(58, 256)(59, 248)(60, 196)(61, 235)(62, 261)(63, 263)(64, 264)(65, 209)(66, 266)(67, 237)(68, 201)(69, 239)(70, 202)(71, 205)(72, 246)(73, 254)(74, 273)(75, 207)(76, 267)(77, 208)(78, 269)(79, 214)(80, 210)(81, 215)(82, 225)(83, 276)(84, 212)(85, 271)(86, 286)(87, 287)(88, 272)(89, 222)(90, 289)(91, 291)(92, 218)(93, 293)(94, 295)(95, 220)(96, 221)(97, 298)(98, 282)(99, 290)(100, 224)(101, 284)(102, 251)(103, 277)(104, 232)(105, 228)(106, 279)(107, 230)(108, 306)(109, 280)(110, 234)(111, 240)(112, 249)(113, 292)(114, 309)(115, 257)(116, 294)(117, 310)(118, 242)(119, 304)(120, 244)(121, 245)(122, 253)(123, 308)(124, 302)(125, 268)(126, 260)(127, 275)(128, 252)(129, 288)(130, 300)(131, 258)(132, 255)(133, 259)(134, 316)(135, 320)(136, 303)(137, 317)(138, 262)(139, 322)(140, 278)(141, 265)(142, 283)(143, 285)(144, 281)(145, 270)(146, 274)(147, 307)(148, 305)(149, 319)(150, 321)(151, 324)(152, 323)(153, 297)(154, 314)(155, 312)(156, 311)(157, 296)(158, 299)(159, 313)(160, 318)(161, 301)(162, 315)
	local type(s) :: { ( 6, 9, 6, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.2240
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 81 e = 162 f = 45
	degree seq :: [ 4^81 ]

E19.2249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^-2 * Y1)^2, (Y2^-1 * Y1 * Y2^-2)^3, (Y2 * Y1 * Y2^-1 * Y1)^3, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-1, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 17, 179)(10, 172, 21, 183)(12, 174, 24, 186)(14, 176, 28, 190)(15, 177, 29, 191)(16, 178, 31, 193)(18, 180, 35, 197)(19, 181, 36, 198)(20, 182, 38, 200)(22, 184, 42, 204)(23, 185, 44, 206)(25, 187, 48, 210)(26, 188, 49, 211)(27, 189, 51, 213)(30, 192, 57, 219)(32, 194, 61, 223)(33, 195, 62, 224)(34, 196, 64, 226)(37, 199, 70, 232)(39, 201, 74, 236)(40, 202, 75, 237)(41, 203, 77, 239)(43, 205, 81, 243)(45, 207, 85, 247)(46, 208, 86, 248)(47, 209, 88, 250)(50, 212, 94, 256)(52, 214, 98, 260)(53, 215, 99, 261)(54, 216, 101, 263)(55, 217, 79, 241)(56, 218, 92, 254)(58, 220, 107, 269)(59, 221, 83, 245)(60, 222, 96, 258)(63, 225, 87, 249)(65, 227, 100, 262)(66, 228, 117, 279)(67, 229, 118, 280)(68, 230, 80, 242)(69, 231, 93, 255)(71, 233, 114, 276)(72, 234, 84, 246)(73, 235, 97, 259)(76, 238, 89, 251)(78, 240, 102, 264)(82, 244, 133, 295)(90, 252, 143, 305)(91, 253, 144, 306)(95, 257, 140, 302)(103, 265, 138, 300)(104, 266, 151, 313)(105, 267, 156, 318)(106, 268, 132, 294)(108, 270, 139, 301)(109, 271, 152, 314)(110, 272, 158, 320)(111, 273, 137, 299)(112, 274, 129, 291)(113, 275, 134, 296)(115, 277, 145, 307)(116, 278, 148, 310)(119, 281, 141, 303)(120, 282, 153, 315)(121, 283, 157, 319)(122, 284, 142, 304)(123, 285, 154, 316)(124, 286, 155, 317)(125, 287, 130, 292)(126, 288, 135, 297)(127, 289, 146, 308)(128, 290, 149, 311)(131, 293, 160, 322)(136, 298, 162, 324)(147, 309, 161, 323)(150, 312, 159, 321)(325, 487, 327, 489, 332, 494, 342, 504, 334, 496, 328, 490)(326, 488, 329, 491, 336, 498, 349, 511, 338, 500, 330, 492)(331, 493, 339, 501, 354, 516, 382, 544, 356, 518, 340, 502)(333, 495, 343, 505, 361, 523, 395, 557, 363, 525, 344, 506)(335, 497, 346, 508, 367, 529, 406, 568, 369, 531, 347, 509)(337, 499, 350, 512, 374, 536, 419, 581, 376, 538, 351, 513)(341, 503, 357, 519, 387, 549, 438, 600, 389, 551, 358, 520)(345, 507, 364, 526, 400, 562, 431, 593, 402, 564, 365, 527)(348, 510, 370, 532, 411, 573, 464, 626, 413, 575, 371, 533)(352, 514, 377, 539, 424, 586, 457, 619, 426, 588, 378, 540)(353, 515, 379, 541, 427, 589, 479, 641, 428, 590, 380, 542)(355, 517, 383, 545, 432, 594, 481, 643, 433, 595, 384, 546)(359, 521, 390, 552, 415, 577, 372, 534, 414, 576, 391, 553)(360, 522, 392, 554, 443, 605, 482, 644, 444, 606, 393, 555)(362, 524, 396, 558, 446, 608, 480, 642, 447, 609, 397, 559)(366, 528, 403, 565, 453, 615, 483, 645, 454, 616, 404, 566)(368, 530, 407, 569, 458, 620, 485, 647, 459, 621, 408, 570)(373, 535, 416, 578, 469, 631, 486, 648, 470, 632, 417, 579)(375, 537, 420, 582, 472, 634, 484, 646, 473, 635, 421, 583)(381, 543, 429, 591, 468, 630, 445, 607, 394, 556, 430, 592)(385, 547, 434, 596, 467, 629, 448, 610, 398, 560, 435, 597)(386, 548, 436, 598, 478, 640, 425, 587, 477, 639, 437, 599)(388, 550, 439, 601, 466, 628, 412, 574, 465, 627, 440, 602)(399, 561, 449, 611, 476, 638, 423, 585, 475, 637, 450, 612)(401, 563, 451, 613, 463, 625, 410, 572, 462, 624, 452, 614)(405, 567, 455, 617, 442, 604, 471, 633, 418, 580, 456, 618)(409, 571, 460, 622, 441, 603, 474, 636, 422, 584, 461, 623)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 348)(13, 330)(14, 352)(15, 353)(16, 355)(17, 332)(18, 359)(19, 360)(20, 362)(21, 334)(22, 366)(23, 368)(24, 336)(25, 372)(26, 373)(27, 375)(28, 338)(29, 339)(30, 381)(31, 340)(32, 385)(33, 386)(34, 388)(35, 342)(36, 343)(37, 394)(38, 344)(39, 398)(40, 399)(41, 401)(42, 346)(43, 405)(44, 347)(45, 409)(46, 410)(47, 412)(48, 349)(49, 350)(50, 418)(51, 351)(52, 422)(53, 423)(54, 425)(55, 403)(56, 416)(57, 354)(58, 431)(59, 407)(60, 420)(61, 356)(62, 357)(63, 411)(64, 358)(65, 424)(66, 441)(67, 442)(68, 404)(69, 417)(70, 361)(71, 438)(72, 408)(73, 421)(74, 363)(75, 364)(76, 413)(77, 365)(78, 426)(79, 379)(80, 392)(81, 367)(82, 457)(83, 383)(84, 396)(85, 369)(86, 370)(87, 387)(88, 371)(89, 400)(90, 467)(91, 468)(92, 380)(93, 393)(94, 374)(95, 464)(96, 384)(97, 397)(98, 376)(99, 377)(100, 389)(101, 378)(102, 402)(103, 462)(104, 475)(105, 480)(106, 456)(107, 382)(108, 463)(109, 476)(110, 482)(111, 461)(112, 453)(113, 458)(114, 395)(115, 469)(116, 472)(117, 390)(118, 391)(119, 465)(120, 477)(121, 481)(122, 466)(123, 478)(124, 479)(125, 454)(126, 459)(127, 470)(128, 473)(129, 436)(130, 449)(131, 484)(132, 430)(133, 406)(134, 437)(135, 450)(136, 486)(137, 435)(138, 427)(139, 432)(140, 419)(141, 443)(142, 446)(143, 414)(144, 415)(145, 439)(146, 451)(147, 485)(148, 440)(149, 452)(150, 483)(151, 428)(152, 433)(153, 444)(154, 447)(155, 448)(156, 429)(157, 445)(158, 434)(159, 474)(160, 455)(161, 471)(162, 460)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.2255
Graph:: bipartite
	v = 108 e = 324 f = 180
	degree seq :: [ 4^81, 12^27 ]

E19.2250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^-2 * Y1)^2, (Y1 * Y2 * Y1 * Y2^2)^2, (Y2^-1 * Y1 * Y2^-2)^3, (Y2 * Y1 * Y2^-1 * Y1)^3, (Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1)^2, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 17, 179)(10, 172, 21, 183)(12, 174, 24, 186)(14, 176, 28, 190)(15, 177, 29, 191)(16, 178, 31, 193)(18, 180, 35, 197)(19, 181, 36, 198)(20, 182, 38, 200)(22, 184, 42, 204)(23, 185, 44, 206)(25, 187, 48, 210)(26, 188, 49, 211)(27, 189, 51, 213)(30, 192, 54, 216)(32, 194, 60, 222)(33, 195, 52, 214)(34, 196, 62, 224)(37, 199, 68, 230)(39, 201, 46, 208)(40, 202, 71, 233)(41, 203, 43, 205)(45, 207, 79, 241)(47, 209, 81, 243)(50, 212, 87, 249)(53, 215, 90, 252)(55, 217, 93, 255)(56, 218, 94, 256)(57, 219, 96, 258)(58, 220, 77, 239)(59, 221, 98, 260)(61, 223, 101, 263)(63, 225, 105, 267)(64, 226, 99, 261)(65, 227, 106, 268)(66, 228, 107, 269)(67, 229, 86, 248)(69, 231, 102, 264)(70, 232, 111, 273)(72, 234, 113, 275)(73, 235, 109, 271)(74, 236, 114, 276)(75, 237, 115, 277)(76, 238, 117, 279)(78, 240, 119, 281)(80, 242, 122, 284)(82, 244, 126, 288)(83, 245, 120, 282)(84, 246, 127, 289)(85, 247, 128, 290)(88, 250, 123, 285)(89, 251, 132, 294)(91, 253, 134, 296)(92, 254, 130, 292)(95, 257, 125, 287)(97, 259, 139, 301)(100, 262, 131, 293)(103, 265, 137, 299)(104, 266, 116, 278)(108, 270, 144, 306)(110, 272, 121, 283)(112, 274, 141, 303)(118, 280, 149, 311)(124, 286, 147, 309)(129, 291, 154, 316)(133, 295, 151, 313)(135, 297, 155, 317)(136, 298, 156, 318)(138, 300, 157, 319)(140, 302, 153, 315)(142, 304, 158, 320)(143, 305, 150, 312)(145, 307, 159, 321)(146, 308, 160, 322)(148, 310, 161, 323)(152, 314, 162, 324)(325, 487, 327, 489, 332, 494, 342, 504, 334, 496, 328, 490)(326, 488, 329, 491, 336, 498, 349, 511, 338, 500, 330, 492)(331, 493, 339, 501, 354, 516, 381, 543, 356, 518, 340, 502)(333, 495, 343, 505, 361, 523, 393, 555, 363, 525, 344, 506)(335, 497, 346, 508, 367, 529, 400, 562, 369, 531, 347, 509)(337, 499, 350, 512, 374, 536, 412, 574, 376, 538, 351, 513)(341, 503, 357, 519, 385, 547, 426, 588, 387, 549, 358, 520)(345, 507, 364, 526, 396, 558, 420, 582, 397, 559, 365, 527)(348, 510, 370, 532, 404, 566, 447, 609, 406, 568, 371, 533)(352, 514, 377, 539, 415, 577, 441, 603, 416, 578, 378, 540)(353, 515, 379, 541, 362, 524, 394, 556, 419, 581, 380, 542)(355, 517, 382, 544, 421, 583, 458, 620, 423, 585, 383, 545)(359, 521, 388, 550, 408, 570, 372, 534, 407, 569, 389, 551)(360, 522, 390, 552, 430, 592, 450, 612, 432, 594, 391, 553)(366, 528, 398, 560, 375, 537, 413, 575, 440, 602, 399, 561)(368, 530, 401, 563, 442, 604, 437, 599, 444, 606, 402, 564)(373, 535, 409, 571, 451, 613, 429, 591, 453, 615, 410, 572)(384, 546, 424, 586, 465, 627, 435, 597, 466, 628, 425, 587)(386, 548, 427, 589, 467, 629, 436, 598, 395, 557, 428, 590)(392, 554, 433, 595, 462, 624, 418, 580, 461, 623, 434, 596)(403, 565, 445, 607, 475, 637, 456, 618, 476, 638, 446, 608)(405, 567, 448, 610, 477, 639, 457, 619, 414, 576, 449, 611)(411, 573, 454, 616, 472, 634, 439, 601, 471, 633, 455, 617)(417, 579, 459, 621, 422, 584, 464, 626, 431, 593, 460, 622)(438, 600, 469, 631, 443, 605, 474, 636, 452, 614, 470, 632)(463, 625, 482, 644, 483, 645, 480, 642, 485, 647, 478, 640)(468, 630, 473, 635, 486, 648, 479, 641, 484, 646, 481, 643)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 348)(13, 330)(14, 352)(15, 353)(16, 355)(17, 332)(18, 359)(19, 360)(20, 362)(21, 334)(22, 366)(23, 368)(24, 336)(25, 372)(26, 373)(27, 375)(28, 338)(29, 339)(30, 378)(31, 340)(32, 384)(33, 376)(34, 386)(35, 342)(36, 343)(37, 392)(38, 344)(39, 370)(40, 395)(41, 367)(42, 346)(43, 365)(44, 347)(45, 403)(46, 363)(47, 405)(48, 349)(49, 350)(50, 411)(51, 351)(52, 357)(53, 414)(54, 354)(55, 417)(56, 418)(57, 420)(58, 401)(59, 422)(60, 356)(61, 425)(62, 358)(63, 429)(64, 423)(65, 430)(66, 431)(67, 410)(68, 361)(69, 426)(70, 435)(71, 364)(72, 437)(73, 433)(74, 438)(75, 439)(76, 441)(77, 382)(78, 443)(79, 369)(80, 446)(81, 371)(82, 450)(83, 444)(84, 451)(85, 452)(86, 391)(87, 374)(88, 447)(89, 456)(90, 377)(91, 458)(92, 454)(93, 379)(94, 380)(95, 449)(96, 381)(97, 463)(98, 383)(99, 388)(100, 455)(101, 385)(102, 393)(103, 461)(104, 440)(105, 387)(106, 389)(107, 390)(108, 468)(109, 397)(110, 445)(111, 394)(112, 465)(113, 396)(114, 398)(115, 399)(116, 428)(117, 400)(118, 473)(119, 402)(120, 407)(121, 434)(122, 404)(123, 412)(124, 471)(125, 419)(126, 406)(127, 408)(128, 409)(129, 478)(130, 416)(131, 424)(132, 413)(133, 475)(134, 415)(135, 479)(136, 480)(137, 427)(138, 481)(139, 421)(140, 477)(141, 436)(142, 482)(143, 474)(144, 432)(145, 483)(146, 484)(147, 448)(148, 485)(149, 442)(150, 467)(151, 457)(152, 486)(153, 464)(154, 453)(155, 459)(156, 460)(157, 462)(158, 466)(159, 469)(160, 470)(161, 472)(162, 476)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.2256
Graph:: bipartite
	v = 108 e = 324 f = 180
	degree seq :: [ 4^81, 12^27 ]

E19.2251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y1^6, Y1^-1 * Y2^2 * Y1^-1 * Y2^-4, Y1^-1 * Y2^2 * Y1^-1 * Y2^5, (Y1 * Y2^-1 * Y1)^3, Y1^-1 * Y2^3 * Y1^2 * Y2^-3 * Y1^-1 ]
Map::
	R = (1, 163, 2, 164, 6, 168, 16, 178, 13, 175, 4, 166)(3, 165, 9, 171, 23, 185, 55, 217, 29, 191, 11, 173)(5, 167, 14, 176, 34, 196, 49, 211, 20, 182, 7, 169)(8, 170, 21, 183, 50, 212, 92, 254, 42, 204, 17, 179)(10, 172, 25, 187, 60, 222, 115, 277, 65, 227, 27, 189)(12, 174, 30, 192, 70, 232, 123, 285, 74, 236, 32, 194)(15, 177, 37, 199, 82, 244, 130, 292, 79, 241, 35, 197)(18, 180, 43, 205, 69, 231, 108, 270, 85, 247, 39, 201)(19, 181, 45, 207, 96, 258, 145, 307, 99, 261, 47, 209)(22, 184, 53, 215, 67, 229, 121, 283, 105, 267, 51, 213)(24, 186, 58, 220, 112, 274, 153, 315, 110, 272, 56, 218)(26, 188, 46, 208, 89, 251, 133, 295, 119, 281, 63, 225)(28, 190, 66, 228, 91, 253, 141, 303, 122, 284, 68, 230)(31, 193, 72, 234, 127, 289, 131, 293, 81, 243, 62, 224)(33, 195, 40, 202, 86, 248, 103, 265, 78, 240, 76, 238)(36, 198, 80, 242, 94, 256, 144, 306, 125, 287, 77, 239)(38, 200, 54, 216, 95, 257, 137, 299, 113, 275, 59, 221)(41, 203, 88, 250, 138, 300, 151, 313, 140, 302, 90, 252)(44, 206, 64, 226, 101, 263, 150, 312, 143, 305, 93, 255)(48, 210, 100, 262, 134, 296, 128, 290, 73, 235, 102, 264)(52, 214, 106, 268, 136, 298, 107, 269, 57, 219, 104, 266)(61, 223, 118, 280, 139, 301, 162, 324, 157, 319, 116, 278)(71, 233, 126, 288, 159, 321, 149, 311, 156, 318, 124, 286)(75, 237, 129, 291, 160, 322, 147, 309, 111, 273, 83, 245)(84, 246, 132, 294, 155, 317, 117, 279, 154, 316, 114, 276)(87, 249, 98, 260, 142, 304, 120, 282, 158, 320, 135, 297)(97, 259, 148, 310, 161, 323, 152, 314, 109, 271, 146, 308)(325, 487, 327, 489, 334, 496, 350, 512, 386, 548, 377, 539, 362, 524, 339, 501, 329, 491)(326, 488, 331, 493, 343, 505, 370, 532, 351, 513, 388, 550, 378, 540, 346, 508, 332, 494)(328, 490, 336, 498, 355, 517, 387, 549, 407, 569, 361, 523, 383, 545, 348, 510, 333, 495)(330, 492, 341, 503, 365, 527, 413, 575, 371, 533, 422, 584, 419, 581, 368, 530, 342, 504)(335, 497, 352, 514, 391, 553, 405, 567, 360, 522, 338, 500, 359, 521, 385, 547, 349, 511)(337, 499, 357, 519, 399, 561, 443, 605, 438, 600, 382, 544, 437, 599, 395, 557, 354, 516)(340, 502, 363, 525, 408, 570, 457, 619, 414, 576, 450, 612, 461, 623, 411, 573, 364, 526)(344, 506, 372, 534, 425, 587, 389, 551, 376, 538, 345, 507, 375, 537, 421, 583, 369, 531)(347, 509, 380, 542, 433, 595, 396, 558, 356, 518, 397, 559, 406, 568, 435, 597, 381, 543)(353, 515, 393, 555, 404, 566, 455, 617, 462, 624, 442, 604, 403, 565, 444, 606, 390, 552)(358, 520, 401, 563, 441, 603, 384, 546, 440, 602, 480, 642, 445, 607, 392, 554, 402, 564)(366, 528, 415, 577, 466, 628, 423, 585, 418, 580, 367, 529, 417, 579, 463, 625, 412, 574)(373, 535, 427, 589, 430, 592, 439, 601, 479, 641, 472, 634, 429, 591, 473, 635, 424, 586)(374, 536, 428, 590, 471, 633, 420, 582, 470, 632, 434, 596, 474, 636, 426, 588, 398, 560)(379, 541, 431, 593, 475, 637, 451, 613, 476, 638, 482, 644, 454, 616, 452, 614, 432, 594)(394, 556, 448, 610, 481, 643, 453, 615, 400, 562, 446, 608, 436, 598, 478, 640, 449, 611)(409, 571, 458, 620, 483, 645, 464, 626, 460, 622, 410, 572, 459, 621, 485, 647, 456, 618)(416, 578, 447, 609, 468, 630, 469, 631, 484, 646, 486, 648, 467, 629, 477, 639, 465, 627)
	L = (1, 327)(2, 331)(3, 334)(4, 336)(5, 325)(6, 341)(7, 343)(8, 326)(9, 328)(10, 350)(11, 352)(12, 355)(13, 357)(14, 359)(15, 329)(16, 363)(17, 365)(18, 330)(19, 370)(20, 372)(21, 375)(22, 332)(23, 380)(24, 333)(25, 335)(26, 386)(27, 388)(28, 391)(29, 393)(30, 337)(31, 387)(32, 397)(33, 399)(34, 401)(35, 385)(36, 338)(37, 383)(38, 339)(39, 408)(40, 340)(41, 413)(42, 415)(43, 417)(44, 342)(45, 344)(46, 351)(47, 422)(48, 425)(49, 427)(50, 428)(51, 421)(52, 345)(53, 362)(54, 346)(55, 431)(56, 433)(57, 347)(58, 437)(59, 348)(60, 440)(61, 349)(62, 377)(63, 407)(64, 378)(65, 376)(66, 353)(67, 405)(68, 402)(69, 404)(70, 448)(71, 354)(72, 356)(73, 406)(74, 374)(75, 443)(76, 446)(77, 441)(78, 358)(79, 444)(80, 455)(81, 360)(82, 435)(83, 361)(84, 457)(85, 458)(86, 459)(87, 364)(88, 366)(89, 371)(90, 450)(91, 466)(92, 447)(93, 463)(94, 367)(95, 368)(96, 470)(97, 369)(98, 419)(99, 418)(100, 373)(101, 389)(102, 398)(103, 430)(104, 471)(105, 473)(106, 439)(107, 475)(108, 379)(109, 396)(110, 474)(111, 381)(112, 478)(113, 395)(114, 382)(115, 479)(116, 480)(117, 384)(118, 403)(119, 438)(120, 390)(121, 392)(122, 436)(123, 468)(124, 481)(125, 394)(126, 461)(127, 476)(128, 432)(129, 400)(130, 452)(131, 462)(132, 409)(133, 414)(134, 483)(135, 485)(136, 410)(137, 411)(138, 442)(139, 412)(140, 460)(141, 416)(142, 423)(143, 477)(144, 469)(145, 484)(146, 434)(147, 420)(148, 429)(149, 424)(150, 426)(151, 451)(152, 482)(153, 465)(154, 449)(155, 472)(156, 445)(157, 453)(158, 454)(159, 464)(160, 486)(161, 456)(162, 467)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 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 E19.2253
Graph:: bipartite
	v = 45 e = 324 f = 243
	degree seq :: [ 12^27, 18^18 ]

E19.2252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y1^6, (Y1 * Y2^-2)^2, Y2^9, (Y1 * Y2^-1 * Y1)^3, Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 163, 2, 164, 6, 168, 16, 178, 13, 175, 4, 166)(3, 165, 9, 171, 23, 185, 49, 211, 28, 190, 11, 173)(5, 167, 14, 176, 33, 195, 45, 207, 20, 182, 7, 169)(8, 170, 21, 183, 46, 208, 77, 239, 39, 201, 17, 179)(10, 172, 25, 187, 54, 216, 87, 249, 47, 209, 22, 184)(12, 174, 29, 191, 60, 222, 104, 266, 64, 226, 31, 193)(15, 177, 30, 192, 62, 224, 108, 270, 68, 230, 34, 196)(18, 180, 40, 202, 59, 221, 90, 252, 71, 233, 36, 198)(19, 181, 42, 204, 80, 242, 123, 285, 78, 240, 41, 203)(24, 186, 52, 214, 94, 256, 138, 300, 92, 254, 50, 212)(26, 188, 48, 210, 75, 237, 118, 280, 95, 257, 53, 215)(27, 189, 57, 219, 101, 263, 144, 306, 103, 265, 58, 220)(32, 194, 37, 199, 72, 234, 85, 247, 66, 228, 65, 227)(35, 197, 43, 205, 79, 241, 115, 277, 107, 269, 63, 225)(38, 200, 74, 236, 119, 281, 153, 315, 117, 279, 73, 235)(44, 206, 83, 245, 129, 291, 148, 310, 109, 271, 84, 246)(51, 213, 93, 255, 86, 248, 131, 293, 134, 296, 89, 251)(55, 217, 99, 261, 76, 238, 122, 284, 141, 303, 97, 259)(56, 218, 96, 258, 136, 298, 160, 322, 143, 305, 100, 262)(61, 223, 70, 232, 114, 276, 151, 313, 140, 302, 105, 267)(67, 229, 112, 274, 120, 282, 146, 308, 106, 268, 111, 273)(69, 231, 113, 275, 150, 312, 157, 319, 128, 290, 82, 244)(81, 243, 127, 289, 116, 278, 135, 297, 91, 253, 125, 287)(88, 250, 132, 294, 137, 299, 161, 323, 155, 317, 121, 283)(98, 260, 142, 304, 139, 301, 154, 316, 158, 320, 130, 292)(102, 264, 133, 295, 159, 321, 152, 314, 124, 286, 145, 307)(110, 272, 147, 309, 162, 324, 156, 318, 126, 288, 149, 311)(325, 487, 327, 489, 334, 496, 350, 512, 380, 542, 393, 555, 359, 521, 339, 501, 329, 491)(326, 488, 331, 493, 343, 505, 367, 529, 406, 568, 412, 574, 372, 534, 346, 508, 332, 494)(328, 490, 336, 498, 354, 516, 387, 549, 434, 596, 420, 582, 377, 539, 348, 510, 333, 495)(330, 492, 341, 503, 362, 524, 399, 561, 445, 607, 448, 610, 403, 565, 365, 527, 342, 504)(335, 497, 351, 513, 338, 500, 358, 520, 391, 553, 437, 599, 424, 586, 379, 541, 349, 511)(337, 499, 356, 518, 376, 538, 419, 581, 463, 625, 471, 633, 431, 593, 385, 547, 353, 515)(340, 502, 360, 522, 394, 556, 439, 601, 476, 638, 478, 640, 442, 604, 397, 559, 361, 523)(344, 506, 368, 530, 345, 507, 371, 533, 410, 572, 456, 618, 452, 614, 405, 567, 366, 528)(347, 509, 374, 536, 415, 577, 460, 622, 473, 635, 433, 595, 386, 548, 355, 517, 375, 537)(352, 514, 383, 545, 423, 585, 467, 629, 443, 605, 436, 598, 392, 554, 426, 588, 381, 543)(357, 519, 382, 544, 422, 584, 378, 540, 421, 583, 464, 626, 474, 636, 435, 597, 390, 552)(363, 525, 400, 562, 364, 526, 402, 564, 425, 587, 469, 631, 479, 641, 444, 606, 398, 560)(369, 531, 409, 571, 451, 613, 481, 643, 475, 637, 455, 617, 411, 573, 454, 616, 407, 569)(370, 532, 408, 570, 450, 612, 404, 566, 449, 611, 416, 578, 461, 623, 417, 579, 388, 550)(373, 535, 413, 575, 457, 619, 432, 594, 472, 634, 477, 639, 484, 646, 459, 621, 414, 576)(384, 546, 429, 591, 465, 627, 486, 648, 466, 628, 427, 589, 418, 580, 389, 551, 430, 592)(395, 557, 440, 602, 396, 558, 441, 603, 453, 615, 482, 644, 483, 645, 458, 620, 438, 600)(401, 563, 428, 590, 470, 632, 485, 647, 462, 624, 468, 630, 447, 609, 480, 642, 446, 608)
	L = (1, 327)(2, 331)(3, 334)(4, 336)(5, 325)(6, 341)(7, 343)(8, 326)(9, 328)(10, 350)(11, 351)(12, 354)(13, 356)(14, 358)(15, 329)(16, 360)(17, 362)(18, 330)(19, 367)(20, 368)(21, 371)(22, 332)(23, 374)(24, 333)(25, 335)(26, 380)(27, 338)(28, 383)(29, 337)(30, 387)(31, 375)(32, 376)(33, 382)(34, 391)(35, 339)(36, 394)(37, 340)(38, 399)(39, 400)(40, 402)(41, 342)(42, 344)(43, 406)(44, 345)(45, 409)(46, 408)(47, 410)(48, 346)(49, 413)(50, 415)(51, 347)(52, 419)(53, 348)(54, 421)(55, 349)(56, 393)(57, 352)(58, 422)(59, 423)(60, 429)(61, 353)(62, 355)(63, 434)(64, 370)(65, 430)(66, 357)(67, 437)(68, 426)(69, 359)(70, 439)(71, 440)(72, 441)(73, 361)(74, 363)(75, 445)(76, 364)(77, 428)(78, 425)(79, 365)(80, 449)(81, 366)(82, 412)(83, 369)(84, 450)(85, 451)(86, 456)(87, 454)(88, 372)(89, 457)(90, 373)(91, 460)(92, 461)(93, 388)(94, 389)(95, 463)(96, 377)(97, 464)(98, 378)(99, 467)(100, 379)(101, 469)(102, 381)(103, 418)(104, 470)(105, 465)(106, 384)(107, 385)(108, 472)(109, 386)(110, 420)(111, 390)(112, 392)(113, 424)(114, 395)(115, 476)(116, 396)(117, 453)(118, 397)(119, 436)(120, 398)(121, 448)(122, 401)(123, 480)(124, 403)(125, 416)(126, 404)(127, 481)(128, 405)(129, 482)(130, 407)(131, 411)(132, 452)(133, 432)(134, 438)(135, 414)(136, 473)(137, 417)(138, 468)(139, 471)(140, 474)(141, 486)(142, 427)(143, 443)(144, 447)(145, 479)(146, 485)(147, 431)(148, 477)(149, 433)(150, 435)(151, 455)(152, 478)(153, 484)(154, 442)(155, 444)(156, 446)(157, 475)(158, 483)(159, 458)(160, 459)(161, 462)(162, 466)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2254
Graph:: bipartite
	v = 45 e = 324 f = 243
	degree seq :: [ 12^27, 18^18 ]

E19.2253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^3 * Y2 * Y3^-1, Y3^9, (Y3 * Y2)^6, (Y3 * Y2 * Y3^-1 * Y2)^3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3, (Y3^-1 * Y1^-1)^9 ]
Map:: polytopal
	R = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)(325, 487, 326, 488)(327, 489, 331, 493)(328, 490, 333, 495)(329, 491, 335, 497)(330, 492, 337, 499)(332, 494, 341, 503)(334, 496, 345, 507)(336, 498, 349, 511)(338, 500, 353, 515)(339, 501, 355, 517)(340, 502, 357, 519)(342, 504, 350, 512)(343, 505, 362, 524)(344, 506, 363, 525)(346, 508, 354, 516)(347, 509, 367, 529)(348, 510, 369, 531)(351, 513, 374, 536)(352, 514, 375, 537)(356, 518, 381, 543)(358, 520, 385, 547)(359, 521, 386, 548)(360, 522, 388, 550)(361, 523, 382, 544)(364, 526, 393, 555)(365, 527, 395, 557)(366, 528, 394, 556)(368, 530, 399, 561)(370, 532, 403, 565)(371, 533, 404, 566)(372, 534, 406, 568)(373, 535, 400, 562)(376, 538, 411, 573)(377, 539, 413, 575)(378, 540, 412, 574)(379, 541, 410, 572)(380, 542, 416, 578)(383, 545, 401, 563)(384, 546, 420, 582)(387, 549, 425, 587)(389, 551, 428, 590)(390, 552, 408, 570)(391, 553, 430, 592)(392, 554, 397, 559)(396, 558, 434, 596)(398, 560, 436, 598)(402, 564, 440, 602)(405, 567, 445, 607)(407, 569, 448, 610)(409, 571, 450, 612)(414, 576, 454, 616)(415, 577, 455, 617)(417, 579, 458, 620)(418, 580, 438, 600)(419, 581, 459, 621)(421, 583, 441, 603)(422, 584, 462, 624)(423, 585, 461, 623)(424, 586, 444, 606)(426, 588, 456, 618)(427, 589, 465, 627)(429, 591, 468, 630)(431, 593, 469, 631)(432, 594, 452, 614)(433, 595, 466, 628)(435, 597, 470, 632)(437, 599, 464, 626)(439, 601, 473, 635)(442, 604, 476, 638)(443, 605, 475, 637)(446, 608, 471, 633)(447, 609, 463, 625)(449, 611, 479, 641)(451, 613, 480, 642)(453, 615, 477, 639)(457, 619, 482, 644)(460, 622, 483, 645)(467, 629, 486, 648)(472, 634, 484, 646)(474, 636, 481, 643)(478, 640, 485, 647)
	L = (1, 327)(2, 329)(3, 332)(4, 325)(5, 336)(6, 326)(7, 339)(8, 342)(9, 343)(10, 328)(11, 347)(12, 350)(13, 351)(14, 330)(15, 356)(16, 331)(17, 359)(18, 361)(19, 360)(20, 333)(21, 358)(22, 334)(23, 368)(24, 335)(25, 371)(26, 373)(27, 372)(28, 337)(29, 370)(30, 338)(31, 379)(32, 382)(33, 383)(34, 340)(35, 387)(36, 341)(37, 366)(38, 389)(39, 391)(40, 344)(41, 345)(42, 346)(43, 397)(44, 400)(45, 401)(46, 348)(47, 405)(48, 349)(49, 378)(50, 407)(51, 409)(52, 352)(53, 353)(54, 354)(55, 415)(56, 355)(57, 418)(58, 396)(59, 419)(60, 357)(61, 417)(62, 423)(63, 394)(64, 426)(65, 424)(66, 362)(67, 427)(68, 363)(69, 429)(70, 364)(71, 421)(72, 365)(73, 435)(74, 367)(75, 438)(76, 414)(77, 439)(78, 369)(79, 437)(80, 443)(81, 412)(82, 446)(83, 444)(84, 374)(85, 447)(86, 375)(87, 449)(88, 376)(89, 441)(90, 377)(91, 434)(92, 456)(93, 380)(94, 433)(95, 381)(96, 460)(97, 384)(98, 385)(99, 432)(100, 386)(101, 431)(102, 464)(103, 388)(104, 466)(105, 390)(106, 457)(107, 392)(108, 393)(109, 395)(110, 463)(111, 454)(112, 471)(113, 398)(114, 453)(115, 399)(116, 474)(117, 402)(118, 403)(119, 452)(120, 404)(121, 451)(122, 458)(123, 406)(124, 477)(125, 408)(126, 472)(127, 410)(128, 411)(129, 413)(130, 465)(131, 469)(132, 481)(133, 416)(134, 445)(135, 467)(136, 468)(137, 420)(138, 430)(139, 422)(140, 425)(141, 442)(142, 484)(143, 428)(144, 459)(145, 485)(146, 480)(147, 483)(148, 436)(149, 478)(150, 479)(151, 440)(152, 450)(153, 482)(154, 448)(155, 473)(156, 486)(157, 455)(158, 475)(159, 470)(160, 461)(161, 462)(162, 476)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 18 ), ( 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.2251
Graph:: simple bipartite
	v = 243 e = 324 f = 45
	degree seq :: [ 2^162, 4^81 ]

E19.2254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y2 * Y3)^2, Y3^9, (Y3 * Y2)^6, (Y3 * Y2 * Y3^-1 * Y2)^3, (Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1)^2, (Y2 * Y3^-1 * Y2 * Y3^-2)^3, (Y3^-1 * Y1^-1)^9 ]
Map:: polytopal
	R = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)(325, 487, 326, 488)(327, 489, 331, 493)(328, 490, 333, 495)(329, 491, 335, 497)(330, 492, 337, 499)(332, 494, 341, 503)(334, 496, 345, 507)(336, 498, 349, 511)(338, 500, 353, 515)(339, 501, 355, 517)(340, 502, 357, 519)(342, 504, 354, 516)(343, 505, 362, 524)(344, 506, 364, 526)(346, 508, 350, 512)(347, 509, 367, 529)(348, 510, 369, 531)(351, 513, 374, 536)(352, 514, 376, 538)(356, 518, 381, 543)(358, 520, 384, 546)(359, 521, 386, 548)(360, 522, 387, 549)(361, 523, 385, 547)(363, 525, 391, 553)(365, 527, 395, 557)(366, 528, 392, 554)(368, 530, 399, 561)(370, 532, 402, 564)(371, 533, 404, 566)(372, 534, 405, 567)(373, 535, 403, 565)(375, 537, 409, 571)(377, 539, 413, 575)(378, 540, 410, 572)(379, 541, 412, 574)(380, 542, 416, 578)(382, 544, 400, 562)(383, 545, 421, 583)(388, 550, 427, 589)(389, 551, 428, 590)(390, 552, 408, 570)(393, 555, 432, 594)(394, 556, 397, 559)(396, 558, 434, 596)(398, 560, 436, 598)(401, 563, 441, 603)(406, 568, 447, 609)(407, 569, 448, 610)(411, 573, 452, 614)(414, 576, 454, 616)(415, 577, 455, 617)(417, 579, 446, 608)(418, 580, 458, 620)(419, 581, 459, 621)(420, 582, 461, 623)(422, 584, 451, 613)(423, 585, 463, 625)(424, 586, 465, 627)(425, 587, 456, 618)(426, 588, 437, 599)(429, 591, 466, 628)(430, 592, 467, 629)(431, 593, 442, 604)(433, 595, 469, 631)(435, 597, 470, 632)(438, 600, 460, 622)(439, 601, 473, 635)(440, 602, 474, 636)(443, 605, 476, 638)(444, 606, 464, 626)(445, 607, 471, 633)(449, 611, 477, 639)(450, 612, 478, 640)(453, 615, 480, 642)(457, 619, 482, 644)(462, 624, 485, 647)(468, 630, 486, 648)(472, 634, 483, 645)(475, 637, 481, 643)(479, 641, 484, 646)
	L = (1, 327)(2, 329)(3, 332)(4, 325)(5, 336)(6, 326)(7, 339)(8, 342)(9, 343)(10, 328)(11, 347)(12, 350)(13, 351)(14, 330)(15, 356)(16, 331)(17, 359)(18, 361)(19, 363)(20, 333)(21, 365)(22, 334)(23, 368)(24, 335)(25, 371)(26, 373)(27, 375)(28, 337)(29, 377)(30, 338)(31, 379)(32, 345)(33, 382)(34, 340)(35, 344)(36, 341)(37, 366)(38, 389)(39, 392)(40, 393)(41, 396)(42, 346)(43, 397)(44, 353)(45, 400)(46, 348)(47, 352)(48, 349)(49, 378)(50, 407)(51, 410)(52, 411)(53, 414)(54, 354)(55, 415)(56, 355)(57, 418)(58, 420)(59, 357)(60, 422)(61, 358)(62, 423)(63, 425)(64, 360)(65, 424)(66, 362)(67, 430)(68, 388)(69, 426)(70, 364)(71, 417)(72, 385)(73, 435)(74, 367)(75, 438)(76, 440)(77, 369)(78, 442)(79, 370)(80, 443)(81, 445)(82, 372)(83, 444)(84, 374)(85, 450)(86, 406)(87, 446)(88, 376)(89, 437)(90, 403)(91, 384)(92, 456)(93, 380)(94, 383)(95, 381)(96, 434)(97, 462)(98, 433)(99, 464)(100, 386)(101, 431)(102, 387)(103, 429)(104, 459)(105, 390)(106, 394)(107, 391)(108, 468)(109, 395)(110, 460)(111, 402)(112, 471)(113, 398)(114, 401)(115, 399)(116, 454)(117, 475)(118, 453)(119, 465)(120, 404)(121, 451)(122, 405)(123, 449)(124, 473)(125, 408)(126, 412)(127, 409)(128, 479)(129, 413)(130, 458)(131, 467)(132, 481)(133, 416)(134, 439)(135, 483)(136, 419)(137, 484)(138, 428)(139, 421)(140, 427)(141, 447)(142, 461)(143, 457)(144, 455)(145, 432)(146, 478)(147, 485)(148, 436)(149, 482)(150, 486)(151, 448)(152, 441)(153, 474)(154, 472)(155, 470)(156, 452)(157, 469)(158, 477)(159, 466)(160, 463)(161, 480)(162, 476)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 18 ), ( 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.2252
Graph:: simple bipartite
	v = 243 e = 324 f = 45
	degree seq :: [ 2^162, 4^81 ]

E19.2255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^3 * Y3^-1 * Y1^-2, Y1^9, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^6, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1, Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map:: polytopal
	R = (1, 163, 2, 164, 5, 167, 11, 173, 23, 185, 42, 204, 22, 184, 10, 172, 4, 166)(3, 165, 7, 169, 15, 177, 24, 186, 44, 206, 64, 226, 37, 199, 18, 180, 8, 170)(6, 168, 13, 175, 27, 189, 43, 205, 72, 234, 41, 203, 21, 183, 30, 192, 14, 176)(9, 171, 19, 181, 26, 188, 12, 174, 25, 187, 45, 207, 70, 232, 40, 202, 20, 182)(16, 178, 32, 194, 56, 218, 73, 235, 103, 265, 63, 225, 36, 198, 59, 221, 33, 195)(17, 179, 34, 196, 55, 217, 31, 193, 54, 216, 89, 251, 101, 263, 62, 224, 35, 197)(28, 190, 49, 211, 81, 243, 110, 272, 126, 288, 88, 250, 53, 215, 84, 246, 50, 212)(29, 191, 51, 213, 80, 242, 48, 210, 79, 241, 109, 271, 71, 233, 87, 249, 52, 214)(38, 200, 65, 227, 76, 238, 46, 208, 75, 237, 108, 270, 69, 231, 105, 267, 66, 228)(39, 201, 67, 229, 78, 240, 47, 209, 77, 239, 111, 273, 74, 236, 107, 269, 68, 230)(57, 219, 93, 255, 131, 293, 141, 303, 115, 277, 135, 297, 96, 258, 133, 295, 94, 256)(58, 220, 85, 247, 122, 284, 92, 254, 116, 278, 140, 302, 102, 264, 124, 286, 95, 257)(60, 222, 97, 259, 113, 275, 90, 252, 128, 290, 139, 301, 100, 262, 137, 299, 98, 260)(61, 223, 99, 261, 130, 292, 91, 253, 129, 291, 121, 283, 127, 289, 119, 281, 82, 244)(83, 245, 114, 276, 147, 309, 118, 280, 145, 307, 152, 314, 125, 287, 106, 268, 120, 282)(86, 248, 123, 285, 144, 306, 117, 279, 143, 305, 104, 266, 142, 304, 146, 308, 112, 274)(132, 294, 154, 316, 151, 313, 155, 317, 148, 310, 162, 324, 158, 320, 138, 300, 156, 318)(134, 296, 157, 319, 161, 323, 150, 312, 160, 322, 136, 298, 159, 321, 149, 311, 153, 315)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 330)(3, 325)(4, 333)(5, 336)(6, 326)(7, 340)(8, 341)(9, 328)(10, 345)(11, 348)(12, 329)(13, 352)(14, 353)(15, 355)(16, 331)(17, 332)(18, 360)(19, 362)(20, 363)(21, 334)(22, 361)(23, 367)(24, 335)(25, 370)(26, 371)(27, 372)(28, 337)(29, 338)(30, 377)(31, 339)(32, 381)(33, 382)(34, 384)(35, 385)(36, 342)(37, 346)(38, 343)(39, 344)(40, 393)(41, 395)(42, 394)(43, 347)(44, 397)(45, 398)(46, 349)(47, 350)(48, 351)(49, 406)(50, 407)(51, 409)(52, 410)(53, 354)(54, 414)(55, 415)(56, 416)(57, 356)(58, 357)(59, 420)(60, 358)(61, 359)(62, 424)(63, 426)(64, 425)(65, 428)(66, 422)(67, 430)(68, 417)(69, 364)(70, 366)(71, 365)(72, 434)(73, 368)(74, 369)(75, 436)(76, 437)(77, 438)(78, 439)(79, 440)(80, 441)(81, 442)(82, 373)(83, 374)(84, 445)(85, 375)(86, 376)(87, 448)(88, 449)(89, 451)(90, 378)(91, 379)(92, 380)(93, 392)(94, 456)(95, 458)(96, 383)(97, 460)(98, 390)(99, 462)(100, 386)(101, 388)(102, 387)(103, 465)(104, 389)(105, 468)(106, 391)(107, 469)(108, 463)(109, 466)(110, 396)(111, 457)(112, 399)(113, 400)(114, 401)(115, 402)(116, 403)(117, 404)(118, 405)(119, 472)(120, 473)(121, 408)(122, 474)(123, 475)(124, 411)(125, 412)(126, 454)(127, 413)(128, 477)(129, 478)(130, 450)(131, 479)(132, 418)(133, 435)(134, 419)(135, 482)(136, 421)(137, 485)(138, 423)(139, 432)(140, 483)(141, 427)(142, 433)(143, 486)(144, 429)(145, 431)(146, 480)(147, 481)(148, 443)(149, 444)(150, 446)(151, 447)(152, 484)(153, 452)(154, 453)(155, 455)(156, 470)(157, 471)(158, 459)(159, 464)(160, 476)(161, 461)(162, 467)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2249
Graph:: simple bipartite
	v = 180 e = 324 f = 108
	degree seq :: [ 2^162, 18^18 ]

E19.2256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^2 * Y3 * Y1^3 * Y3^-1 * Y1, Y1^9, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^6, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2)^2, Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1, Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1 ]
Map:: polytopal
	R = (1, 163, 2, 164, 5, 167, 11, 173, 23, 185, 42, 204, 22, 184, 10, 172, 4, 166)(3, 165, 7, 169, 15, 177, 31, 193, 54, 216, 44, 206, 24, 186, 18, 180, 8, 170)(6, 168, 13, 175, 27, 189, 21, 183, 41, 203, 71, 233, 43, 205, 30, 192, 14, 176)(9, 171, 19, 181, 38, 200, 65, 227, 47, 209, 26, 188, 12, 174, 25, 187, 20, 182)(16, 178, 33, 195, 57, 219, 37, 199, 64, 226, 102, 264, 89, 251, 60, 222, 34, 196)(17, 179, 35, 197, 61, 223, 73, 235, 92, 254, 56, 218, 32, 194, 55, 217, 36, 198)(28, 190, 49, 211, 81, 243, 53, 215, 88, 250, 110, 272, 72, 234, 84, 246, 50, 212)(29, 191, 51, 213, 85, 247, 109, 271, 118, 280, 80, 242, 48, 210, 79, 241, 52, 214)(39, 201, 67, 229, 75, 237, 45, 207, 74, 236, 111, 273, 78, 240, 107, 269, 68, 230)(40, 202, 69, 231, 77, 239, 46, 208, 76, 238, 105, 267, 66, 228, 104, 266, 70, 232)(58, 220, 94, 256, 133, 295, 97, 259, 136, 298, 141, 303, 103, 265, 115, 277, 95, 257)(59, 221, 86, 248, 124, 286, 140, 302, 116, 278, 132, 294, 93, 255, 131, 293, 96, 258)(62, 224, 99, 261, 128, 290, 90, 252, 127, 289, 113, 275, 130, 292, 138, 300, 100, 262)(63, 225, 101, 263, 122, 284, 91, 253, 129, 291, 126, 288, 98, 260, 120, 282, 82, 244)(83, 245, 114, 276, 147, 309, 145, 307, 108, 270, 144, 306, 119, 281, 142, 304, 121, 283)(87, 249, 125, 287, 106, 268, 117, 279, 148, 310, 143, 305, 123, 285, 146, 308, 112, 274)(134, 296, 154, 316, 152, 314, 161, 323, 139, 301, 160, 322, 156, 318, 149, 311, 157, 319)(135, 297, 158, 320, 137, 299, 155, 317, 150, 312, 159, 321, 151, 313, 162, 324, 153, 315)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 330)(3, 325)(4, 333)(5, 336)(6, 326)(7, 340)(8, 341)(9, 328)(10, 345)(11, 348)(12, 329)(13, 352)(14, 353)(15, 356)(16, 331)(17, 332)(18, 361)(19, 363)(20, 364)(21, 334)(22, 355)(23, 367)(24, 335)(25, 369)(26, 370)(27, 372)(28, 337)(29, 338)(30, 377)(31, 346)(32, 339)(33, 382)(34, 383)(35, 386)(36, 387)(37, 342)(38, 390)(39, 343)(40, 344)(41, 396)(42, 389)(43, 347)(44, 397)(45, 349)(46, 350)(47, 402)(48, 351)(49, 406)(50, 407)(51, 410)(52, 411)(53, 354)(54, 413)(55, 414)(56, 415)(57, 417)(58, 357)(59, 358)(60, 421)(61, 422)(62, 359)(63, 360)(64, 427)(65, 366)(66, 362)(67, 430)(68, 424)(69, 432)(70, 418)(71, 433)(72, 365)(73, 368)(74, 436)(75, 437)(76, 438)(77, 439)(78, 371)(79, 440)(80, 441)(81, 443)(82, 373)(83, 374)(84, 446)(85, 447)(86, 375)(87, 376)(88, 450)(89, 378)(90, 379)(91, 380)(92, 454)(93, 381)(94, 394)(95, 458)(96, 459)(97, 384)(98, 385)(99, 461)(100, 392)(101, 463)(102, 464)(103, 388)(104, 466)(105, 460)(106, 391)(107, 467)(108, 393)(109, 395)(110, 469)(111, 452)(112, 398)(113, 399)(114, 400)(115, 401)(116, 403)(117, 404)(118, 455)(119, 405)(120, 473)(121, 474)(122, 408)(123, 409)(124, 475)(125, 476)(126, 412)(127, 477)(128, 435)(129, 478)(130, 416)(131, 442)(132, 479)(133, 480)(134, 419)(135, 420)(136, 429)(137, 423)(138, 483)(139, 425)(140, 426)(141, 485)(142, 428)(143, 431)(144, 486)(145, 434)(146, 484)(147, 482)(148, 481)(149, 444)(150, 445)(151, 448)(152, 449)(153, 451)(154, 453)(155, 456)(156, 457)(157, 472)(158, 471)(159, 462)(160, 470)(161, 465)(162, 468)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 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 E19.2250
Graph:: simple bipartite
	v = 180 e = 324 f = 108
	degree seq :: [ 2^162, 18^18 ]

E19.2257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (R * Y2^-3)^2, Y2^3 * Y1 * Y2^-3 * Y1, Y2^9, (Y3 * Y2^-1)^6, (Y2 * Y1 * Y2^-1 * Y1)^3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 17, 179)(10, 172, 21, 183)(12, 174, 25, 187)(14, 176, 29, 191)(15, 177, 31, 193)(16, 178, 33, 195)(18, 180, 26, 188)(19, 181, 38, 200)(20, 182, 39, 201)(22, 184, 30, 192)(23, 185, 43, 205)(24, 186, 45, 207)(27, 189, 50, 212)(28, 190, 51, 213)(32, 194, 57, 219)(34, 196, 61, 223)(35, 197, 62, 224)(36, 198, 64, 226)(37, 199, 58, 220)(40, 202, 69, 231)(41, 203, 71, 233)(42, 204, 70, 232)(44, 206, 75, 237)(46, 208, 79, 241)(47, 209, 80, 242)(48, 210, 82, 244)(49, 211, 76, 238)(52, 214, 87, 249)(53, 215, 89, 251)(54, 216, 88, 250)(55, 217, 86, 248)(56, 218, 92, 254)(59, 221, 77, 239)(60, 222, 96, 258)(63, 225, 101, 263)(65, 227, 104, 266)(66, 228, 84, 246)(67, 229, 106, 268)(68, 230, 73, 235)(72, 234, 110, 272)(74, 236, 112, 274)(78, 240, 116, 278)(81, 243, 121, 283)(83, 245, 124, 286)(85, 247, 126, 288)(90, 252, 130, 292)(91, 253, 131, 293)(93, 255, 134, 296)(94, 256, 114, 276)(95, 257, 135, 297)(97, 259, 117, 279)(98, 260, 138, 300)(99, 261, 137, 299)(100, 262, 120, 282)(102, 264, 132, 294)(103, 265, 141, 303)(105, 267, 144, 306)(107, 269, 145, 307)(108, 270, 128, 290)(109, 271, 142, 304)(111, 273, 146, 308)(113, 275, 140, 302)(115, 277, 149, 311)(118, 280, 152, 314)(119, 281, 151, 313)(122, 284, 147, 309)(123, 285, 139, 301)(125, 287, 155, 317)(127, 289, 156, 318)(129, 291, 153, 315)(133, 295, 158, 320)(136, 298, 159, 321)(143, 305, 162, 324)(148, 310, 160, 322)(150, 312, 157, 319)(154, 316, 161, 323)(325, 487, 327, 489, 332, 494, 342, 504, 361, 523, 366, 528, 346, 508, 334, 496, 328, 490)(326, 488, 329, 491, 336, 498, 350, 512, 373, 535, 378, 540, 354, 516, 338, 500, 330, 492)(331, 493, 339, 501, 356, 518, 382, 544, 396, 558, 365, 527, 345, 507, 358, 520, 340, 502)(333, 495, 343, 505, 360, 522, 341, 503, 359, 521, 387, 549, 394, 556, 364, 526, 344, 506)(335, 497, 347, 509, 368, 530, 400, 562, 414, 576, 377, 539, 353, 515, 370, 532, 348, 510)(337, 499, 351, 513, 372, 534, 349, 511, 371, 533, 405, 567, 412, 574, 376, 538, 352, 514)(355, 517, 379, 541, 415, 577, 434, 596, 463, 625, 422, 584, 385, 547, 417, 579, 380, 542)(357, 519, 383, 545, 419, 581, 381, 543, 418, 580, 433, 595, 395, 557, 421, 583, 384, 546)(362, 524, 389, 551, 424, 586, 386, 548, 423, 585, 432, 594, 393, 555, 429, 591, 390, 552)(363, 525, 391, 553, 427, 589, 388, 550, 426, 588, 464, 626, 425, 587, 431, 593, 392, 554)(367, 529, 397, 559, 435, 597, 454, 616, 465, 627, 442, 604, 403, 565, 437, 599, 398, 560)(369, 531, 401, 563, 439, 601, 399, 561, 438, 600, 453, 615, 413, 575, 441, 603, 402, 564)(374, 536, 407, 569, 444, 606, 404, 566, 443, 605, 452, 614, 411, 573, 449, 611, 408, 570)(375, 537, 409, 571, 447, 609, 406, 568, 446, 608, 458, 620, 445, 607, 451, 613, 410, 572)(416, 578, 456, 618, 481, 643, 455, 617, 469, 631, 485, 647, 462, 624, 430, 592, 457, 619)(420, 582, 460, 622, 468, 630, 459, 621, 467, 629, 428, 590, 466, 628, 484, 646, 461, 623)(436, 598, 471, 633, 483, 645, 470, 632, 480, 642, 486, 648, 476, 638, 450, 612, 472, 634)(440, 602, 474, 636, 479, 641, 473, 635, 478, 640, 448, 610, 477, 639, 482, 644, 475, 637)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 349)(13, 330)(14, 353)(15, 355)(16, 357)(17, 332)(18, 350)(19, 362)(20, 363)(21, 334)(22, 354)(23, 367)(24, 369)(25, 336)(26, 342)(27, 374)(28, 375)(29, 338)(30, 346)(31, 339)(32, 381)(33, 340)(34, 385)(35, 386)(36, 388)(37, 382)(38, 343)(39, 344)(40, 393)(41, 395)(42, 394)(43, 347)(44, 399)(45, 348)(46, 403)(47, 404)(48, 406)(49, 400)(50, 351)(51, 352)(52, 411)(53, 413)(54, 412)(55, 410)(56, 416)(57, 356)(58, 361)(59, 401)(60, 420)(61, 358)(62, 359)(63, 425)(64, 360)(65, 428)(66, 408)(67, 430)(68, 397)(69, 364)(70, 366)(71, 365)(72, 434)(73, 392)(74, 436)(75, 368)(76, 373)(77, 383)(78, 440)(79, 370)(80, 371)(81, 445)(82, 372)(83, 448)(84, 390)(85, 450)(86, 379)(87, 376)(88, 378)(89, 377)(90, 454)(91, 455)(92, 380)(93, 458)(94, 438)(95, 459)(96, 384)(97, 441)(98, 462)(99, 461)(100, 444)(101, 387)(102, 456)(103, 465)(104, 389)(105, 468)(106, 391)(107, 469)(108, 452)(109, 466)(110, 396)(111, 470)(112, 398)(113, 464)(114, 418)(115, 473)(116, 402)(117, 421)(118, 476)(119, 475)(120, 424)(121, 405)(122, 471)(123, 463)(124, 407)(125, 479)(126, 409)(127, 480)(128, 432)(129, 477)(130, 414)(131, 415)(132, 426)(133, 482)(134, 417)(135, 419)(136, 483)(137, 423)(138, 422)(139, 447)(140, 437)(141, 427)(142, 433)(143, 486)(144, 429)(145, 431)(146, 435)(147, 446)(148, 484)(149, 439)(150, 481)(151, 443)(152, 442)(153, 453)(154, 485)(155, 449)(156, 451)(157, 474)(158, 457)(159, 460)(160, 472)(161, 478)(162, 467)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 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 E19.2259
Graph:: bipartite
	v = 99 e = 324 f = 189
	degree seq :: [ 4^81, 18^18 ]

E19.2258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1 * Y2^-1)^2, Y2^-1 * R * Y2^3 * R * Y2^-2, (Y2^-2 * Y1 * Y2^-1)^2, Y2^9, (Y2 * Y1 * Y2^-1 * Y1)^3, (Y3 * Y2^-1)^6, (Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^2, Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-1 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 17, 179)(10, 172, 21, 183)(12, 174, 25, 187)(14, 176, 29, 191)(15, 177, 31, 193)(16, 178, 33, 195)(18, 180, 30, 192)(19, 181, 38, 200)(20, 182, 40, 202)(22, 184, 26, 188)(23, 185, 43, 205)(24, 186, 45, 207)(27, 189, 50, 212)(28, 190, 52, 214)(32, 194, 57, 219)(34, 196, 60, 222)(35, 197, 62, 224)(36, 198, 63, 225)(37, 199, 61, 223)(39, 201, 67, 229)(41, 203, 71, 233)(42, 204, 68, 230)(44, 206, 75, 237)(46, 208, 78, 240)(47, 209, 80, 242)(48, 210, 81, 243)(49, 211, 79, 241)(51, 213, 85, 247)(53, 215, 89, 251)(54, 216, 86, 248)(55, 217, 88, 250)(56, 218, 92, 254)(58, 220, 76, 238)(59, 221, 97, 259)(64, 226, 103, 265)(65, 227, 104, 266)(66, 228, 84, 246)(69, 231, 108, 270)(70, 232, 73, 235)(72, 234, 110, 272)(74, 236, 112, 274)(77, 239, 117, 279)(82, 244, 123, 285)(83, 245, 124, 286)(87, 249, 128, 290)(90, 252, 130, 292)(91, 253, 131, 293)(93, 255, 122, 284)(94, 256, 134, 296)(95, 257, 135, 297)(96, 258, 137, 299)(98, 260, 127, 289)(99, 261, 139, 301)(100, 262, 141, 303)(101, 263, 132, 294)(102, 264, 113, 275)(105, 267, 142, 304)(106, 268, 143, 305)(107, 269, 118, 280)(109, 271, 145, 307)(111, 273, 146, 308)(114, 276, 136, 298)(115, 277, 149, 311)(116, 278, 150, 312)(119, 281, 152, 314)(120, 282, 140, 302)(121, 283, 147, 309)(125, 287, 153, 315)(126, 288, 154, 316)(129, 291, 156, 318)(133, 295, 158, 320)(138, 300, 161, 323)(144, 306, 162, 324)(148, 310, 159, 321)(151, 313, 157, 319)(155, 317, 160, 322)(325, 487, 327, 489, 332, 494, 342, 504, 361, 523, 366, 528, 346, 508, 334, 496, 328, 490)(326, 488, 329, 491, 336, 498, 350, 512, 373, 535, 378, 540, 354, 516, 338, 500, 330, 492)(331, 493, 339, 501, 356, 518, 345, 507, 365, 527, 396, 558, 385, 547, 358, 520, 340, 502)(333, 495, 343, 505, 363, 525, 392, 554, 388, 550, 360, 522, 341, 503, 359, 521, 344, 506)(335, 497, 347, 509, 368, 530, 353, 515, 377, 539, 414, 576, 403, 565, 370, 532, 348, 510)(337, 499, 351, 513, 375, 537, 410, 572, 406, 568, 372, 534, 349, 511, 371, 533, 352, 514)(355, 517, 379, 541, 415, 577, 384, 546, 422, 584, 433, 595, 395, 557, 417, 579, 380, 542)(357, 519, 382, 544, 420, 582, 434, 596, 460, 622, 419, 581, 381, 543, 418, 580, 383, 545)(362, 524, 389, 551, 424, 586, 386, 548, 423, 585, 464, 626, 427, 589, 429, 591, 390, 552)(364, 526, 393, 555, 426, 588, 387, 549, 425, 587, 431, 593, 391, 553, 430, 592, 394, 556)(367, 529, 397, 559, 435, 597, 402, 564, 442, 604, 453, 615, 413, 575, 437, 599, 398, 560)(369, 531, 400, 562, 440, 602, 454, 616, 458, 620, 439, 601, 399, 561, 438, 600, 401, 563)(374, 536, 407, 569, 444, 606, 404, 566, 443, 605, 465, 627, 447, 609, 449, 611, 408, 570)(376, 538, 411, 573, 446, 608, 405, 567, 445, 607, 451, 613, 409, 571, 450, 612, 412, 574)(416, 578, 456, 618, 481, 643, 469, 631, 432, 594, 468, 630, 455, 617, 467, 629, 457, 619)(421, 583, 462, 624, 428, 590, 459, 621, 483, 645, 466, 628, 461, 623, 484, 646, 463, 625)(436, 598, 471, 633, 485, 647, 480, 642, 452, 614, 479, 641, 470, 632, 478, 640, 472, 634)(441, 603, 475, 637, 448, 610, 473, 635, 482, 644, 477, 639, 474, 636, 486, 648, 476, 638)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 349)(13, 330)(14, 353)(15, 355)(16, 357)(17, 332)(18, 354)(19, 362)(20, 364)(21, 334)(22, 350)(23, 367)(24, 369)(25, 336)(26, 346)(27, 374)(28, 376)(29, 338)(30, 342)(31, 339)(32, 381)(33, 340)(34, 384)(35, 386)(36, 387)(37, 385)(38, 343)(39, 391)(40, 344)(41, 395)(42, 392)(43, 347)(44, 399)(45, 348)(46, 402)(47, 404)(48, 405)(49, 403)(50, 351)(51, 409)(52, 352)(53, 413)(54, 410)(55, 412)(56, 416)(57, 356)(58, 400)(59, 421)(60, 358)(61, 361)(62, 359)(63, 360)(64, 427)(65, 428)(66, 408)(67, 363)(68, 366)(69, 432)(70, 397)(71, 365)(72, 434)(73, 394)(74, 436)(75, 368)(76, 382)(77, 441)(78, 370)(79, 373)(80, 371)(81, 372)(82, 447)(83, 448)(84, 390)(85, 375)(86, 378)(87, 452)(88, 379)(89, 377)(90, 454)(91, 455)(92, 380)(93, 446)(94, 458)(95, 459)(96, 461)(97, 383)(98, 451)(99, 463)(100, 465)(101, 456)(102, 437)(103, 388)(104, 389)(105, 466)(106, 467)(107, 442)(108, 393)(109, 469)(110, 396)(111, 470)(112, 398)(113, 426)(114, 460)(115, 473)(116, 474)(117, 401)(118, 431)(119, 476)(120, 464)(121, 471)(122, 417)(123, 406)(124, 407)(125, 477)(126, 478)(127, 422)(128, 411)(129, 480)(130, 414)(131, 415)(132, 425)(133, 482)(134, 418)(135, 419)(136, 438)(137, 420)(138, 485)(139, 423)(140, 444)(141, 424)(142, 429)(143, 430)(144, 486)(145, 433)(146, 435)(147, 445)(148, 483)(149, 439)(150, 440)(151, 481)(152, 443)(153, 449)(154, 450)(155, 484)(156, 453)(157, 475)(158, 457)(159, 472)(160, 479)(161, 462)(162, 468)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2260
Graph:: bipartite
	v = 99 e = 324 f = 189
	degree seq :: [ 4^81, 18^18 ]

E19.2259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y3 * Y1^-1 * Y3^-4 * Y1^-1 * Y3, Y3^-4 * Y1 * Y3^-2 * Y1 * Y3^-1, (Y1 * Y3^-1 * Y1)^3, Y1^-1 * Y3^3 * Y1^2 * Y3^-3 * Y1^-1, (Y3 * Y2^-1)^9 ]
Map:: polytopal
	R = (1, 163, 2, 164, 6, 168, 16, 178, 13, 175, 4, 166)(3, 165, 9, 171, 23, 185, 55, 217, 29, 191, 11, 173)(5, 167, 14, 176, 34, 196, 49, 211, 20, 182, 7, 169)(8, 170, 21, 183, 50, 212, 92, 254, 42, 204, 17, 179)(10, 172, 25, 187, 60, 222, 115, 277, 65, 227, 27, 189)(12, 174, 30, 192, 70, 232, 123, 285, 74, 236, 32, 194)(15, 177, 37, 199, 82, 244, 130, 292, 79, 241, 35, 197)(18, 180, 43, 205, 69, 231, 108, 270, 85, 247, 39, 201)(19, 181, 45, 207, 96, 258, 145, 307, 99, 261, 47, 209)(22, 184, 53, 215, 67, 229, 121, 283, 105, 267, 51, 213)(24, 186, 58, 220, 112, 274, 153, 315, 110, 272, 56, 218)(26, 188, 46, 208, 89, 251, 133, 295, 119, 281, 63, 225)(28, 190, 66, 228, 91, 253, 141, 303, 122, 284, 68, 230)(31, 193, 72, 234, 127, 289, 131, 293, 81, 243, 62, 224)(33, 195, 40, 202, 86, 248, 103, 265, 78, 240, 76, 238)(36, 198, 80, 242, 94, 256, 144, 306, 125, 287, 77, 239)(38, 200, 54, 216, 95, 257, 137, 299, 113, 275, 59, 221)(41, 203, 88, 250, 138, 300, 151, 313, 140, 302, 90, 252)(44, 206, 64, 226, 101, 263, 150, 312, 143, 305, 93, 255)(48, 210, 100, 262, 134, 296, 128, 290, 73, 235, 102, 264)(52, 214, 106, 268, 136, 298, 107, 269, 57, 219, 104, 266)(61, 223, 118, 280, 139, 301, 162, 324, 157, 319, 116, 278)(71, 233, 126, 288, 159, 321, 149, 311, 156, 318, 124, 286)(75, 237, 129, 291, 160, 322, 147, 309, 111, 273, 83, 245)(84, 246, 132, 294, 155, 317, 117, 279, 154, 316, 114, 276)(87, 249, 98, 260, 142, 304, 120, 282, 158, 320, 135, 297)(97, 259, 148, 310, 161, 323, 152, 314, 109, 271, 146, 308)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 334)(4, 336)(5, 325)(6, 341)(7, 343)(8, 326)(9, 328)(10, 350)(11, 352)(12, 355)(13, 357)(14, 359)(15, 329)(16, 363)(17, 365)(18, 330)(19, 370)(20, 372)(21, 375)(22, 332)(23, 380)(24, 333)(25, 335)(26, 386)(27, 388)(28, 391)(29, 393)(30, 337)(31, 387)(32, 397)(33, 399)(34, 401)(35, 385)(36, 338)(37, 383)(38, 339)(39, 408)(40, 340)(41, 413)(42, 415)(43, 417)(44, 342)(45, 344)(46, 351)(47, 422)(48, 425)(49, 427)(50, 428)(51, 421)(52, 345)(53, 362)(54, 346)(55, 431)(56, 433)(57, 347)(58, 437)(59, 348)(60, 440)(61, 349)(62, 377)(63, 407)(64, 378)(65, 376)(66, 353)(67, 405)(68, 402)(69, 404)(70, 448)(71, 354)(72, 356)(73, 406)(74, 374)(75, 443)(76, 446)(77, 441)(78, 358)(79, 444)(80, 455)(81, 360)(82, 435)(83, 361)(84, 457)(85, 458)(86, 459)(87, 364)(88, 366)(89, 371)(90, 450)(91, 466)(92, 447)(93, 463)(94, 367)(95, 368)(96, 470)(97, 369)(98, 419)(99, 418)(100, 373)(101, 389)(102, 398)(103, 430)(104, 471)(105, 473)(106, 439)(107, 475)(108, 379)(109, 396)(110, 474)(111, 381)(112, 478)(113, 395)(114, 382)(115, 479)(116, 480)(117, 384)(118, 403)(119, 438)(120, 390)(121, 392)(122, 436)(123, 468)(124, 481)(125, 394)(126, 461)(127, 476)(128, 432)(129, 400)(130, 452)(131, 462)(132, 409)(133, 414)(134, 483)(135, 485)(136, 410)(137, 411)(138, 442)(139, 412)(140, 460)(141, 416)(142, 423)(143, 477)(144, 469)(145, 484)(146, 434)(147, 420)(148, 429)(149, 424)(150, 426)(151, 451)(152, 482)(153, 465)(154, 449)(155, 472)(156, 445)(157, 453)(158, 454)(159, 464)(160, 486)(161, 456)(162, 467)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.2257
Graph:: simple bipartite
	v = 189 e = 324 f = 99
	degree seq :: [ 2^162, 12^27 ]

E19.2260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1^-1)^2, Y1^6, (Y1 * Y3^-1 * Y1)^3, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^9 ]
Map:: polytopal
	R = (1, 163, 2, 164, 6, 168, 16, 178, 13, 175, 4, 166)(3, 165, 9, 171, 23, 185, 49, 211, 28, 190, 11, 173)(5, 167, 14, 176, 33, 195, 45, 207, 20, 182, 7, 169)(8, 170, 21, 183, 46, 208, 77, 239, 39, 201, 17, 179)(10, 172, 25, 187, 54, 216, 87, 249, 47, 209, 22, 184)(12, 174, 29, 191, 60, 222, 104, 266, 64, 226, 31, 193)(15, 177, 30, 192, 62, 224, 108, 270, 68, 230, 34, 196)(18, 180, 40, 202, 59, 221, 90, 252, 71, 233, 36, 198)(19, 181, 42, 204, 80, 242, 123, 285, 78, 240, 41, 203)(24, 186, 52, 214, 94, 256, 138, 300, 92, 254, 50, 212)(26, 188, 48, 210, 75, 237, 118, 280, 95, 257, 53, 215)(27, 189, 57, 219, 101, 263, 144, 306, 103, 265, 58, 220)(32, 194, 37, 199, 72, 234, 85, 247, 66, 228, 65, 227)(35, 197, 43, 205, 79, 241, 115, 277, 107, 269, 63, 225)(38, 200, 74, 236, 119, 281, 153, 315, 117, 279, 73, 235)(44, 206, 83, 245, 129, 291, 148, 310, 109, 271, 84, 246)(51, 213, 93, 255, 86, 248, 131, 293, 134, 296, 89, 251)(55, 217, 99, 261, 76, 238, 122, 284, 141, 303, 97, 259)(56, 218, 96, 258, 136, 298, 160, 322, 143, 305, 100, 262)(61, 223, 70, 232, 114, 276, 151, 313, 140, 302, 105, 267)(67, 229, 112, 274, 120, 282, 146, 308, 106, 268, 111, 273)(69, 231, 113, 275, 150, 312, 157, 319, 128, 290, 82, 244)(81, 243, 127, 289, 116, 278, 135, 297, 91, 253, 125, 287)(88, 250, 132, 294, 137, 299, 161, 323, 155, 317, 121, 283)(98, 260, 142, 304, 139, 301, 154, 316, 158, 320, 130, 292)(102, 264, 133, 295, 159, 321, 152, 314, 124, 286, 145, 307)(110, 272, 147, 309, 162, 324, 156, 318, 126, 288, 149, 311)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 334)(4, 336)(5, 325)(6, 341)(7, 343)(8, 326)(9, 328)(10, 350)(11, 351)(12, 354)(13, 356)(14, 358)(15, 329)(16, 360)(17, 362)(18, 330)(19, 367)(20, 368)(21, 371)(22, 332)(23, 374)(24, 333)(25, 335)(26, 380)(27, 338)(28, 383)(29, 337)(30, 387)(31, 375)(32, 376)(33, 382)(34, 391)(35, 339)(36, 394)(37, 340)(38, 399)(39, 400)(40, 402)(41, 342)(42, 344)(43, 406)(44, 345)(45, 409)(46, 408)(47, 410)(48, 346)(49, 413)(50, 415)(51, 347)(52, 419)(53, 348)(54, 421)(55, 349)(56, 393)(57, 352)(58, 422)(59, 423)(60, 429)(61, 353)(62, 355)(63, 434)(64, 370)(65, 430)(66, 357)(67, 437)(68, 426)(69, 359)(70, 439)(71, 440)(72, 441)(73, 361)(74, 363)(75, 445)(76, 364)(77, 428)(78, 425)(79, 365)(80, 449)(81, 366)(82, 412)(83, 369)(84, 450)(85, 451)(86, 456)(87, 454)(88, 372)(89, 457)(90, 373)(91, 460)(92, 461)(93, 388)(94, 389)(95, 463)(96, 377)(97, 464)(98, 378)(99, 467)(100, 379)(101, 469)(102, 381)(103, 418)(104, 470)(105, 465)(106, 384)(107, 385)(108, 472)(109, 386)(110, 420)(111, 390)(112, 392)(113, 424)(114, 395)(115, 476)(116, 396)(117, 453)(118, 397)(119, 436)(120, 398)(121, 448)(122, 401)(123, 480)(124, 403)(125, 416)(126, 404)(127, 481)(128, 405)(129, 482)(130, 407)(131, 411)(132, 452)(133, 432)(134, 438)(135, 414)(136, 473)(137, 417)(138, 468)(139, 471)(140, 474)(141, 486)(142, 427)(143, 443)(144, 447)(145, 479)(146, 485)(147, 431)(148, 477)(149, 433)(150, 435)(151, 455)(152, 478)(153, 484)(154, 442)(155, 444)(156, 446)(157, 475)(158, 483)(159, 458)(160, 459)(161, 462)(162, 466)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.2258
Graph:: simple bipartite
	v = 189 e = 324 f = 99
	degree seq :: [ 2^162, 12^27 ]

E19.2261 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 9})
Quotient :: regular
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 13>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^3)^2, T1^9, (T1^-1 * T2)^6, T1^-2 * T2 * T1^2 * T2 * T1^-3 * T2 * T1 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, (T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 42, 22, 10, 4)(3, 7, 15, 31, 54, 44, 24, 18, 8)(6, 13, 27, 21, 41, 71, 43, 30, 14)(9, 19, 38, 65, 47, 26, 12, 25, 20)(16, 33, 57, 37, 64, 103, 89, 60, 34)(17, 35, 61, 73, 92, 56, 32, 55, 36)(28, 49, 81, 53, 88, 112, 72, 84, 50)(29, 51, 85, 111, 118, 80, 48, 79, 52)(39, 67, 75, 45, 74, 113, 78, 109, 68)(40, 69, 77, 46, 76, 106, 66, 105, 70)(58, 94, 130, 98, 134, 139, 104, 116, 95)(59, 96, 132, 138, 147, 129, 93, 86, 97)(62, 100, 108, 90, 126, 144, 128, 136, 101)(63, 102, 122, 91, 127, 125, 99, 120, 82)(83, 110, 142, 143, 140, 148, 119, 115, 121)(87, 124, 107, 117, 146, 141, 123, 145, 114)(131, 137, 160, 161, 149, 151, 155, 153, 156)(133, 158, 135, 154, 162, 159, 157, 150, 152)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 39)(20, 40)(22, 31)(23, 43)(25, 45)(26, 46)(27, 48)(30, 53)(33, 58)(34, 59)(35, 62)(36, 63)(38, 66)(41, 72)(42, 65)(44, 73)(47, 78)(49, 82)(50, 83)(51, 86)(52, 87)(54, 89)(55, 90)(56, 91)(57, 93)(60, 98)(61, 99)(64, 104)(67, 107)(68, 108)(69, 110)(70, 94)(71, 111)(74, 114)(75, 101)(76, 115)(77, 116)(79, 96)(80, 117)(81, 119)(84, 122)(85, 123)(88, 125)(92, 128)(95, 131)(97, 133)(100, 135)(102, 137)(103, 138)(105, 140)(106, 134)(109, 141)(112, 143)(113, 144)(118, 147)(120, 149)(121, 150)(124, 151)(126, 152)(127, 153)(129, 154)(130, 155)(132, 157)(136, 159)(139, 161)(142, 162)(145, 156)(146, 160)(148, 158)
	local type(s) :: { ( 6^9 ) }
Outer automorphisms :: reflexible
Dual of E19.2262
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 81 f = 27
	degree seq :: [ 9^18 ]

E19.2262 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 9})
Quotient :: regular
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 13>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1 * T2 * T1^2)^2, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1, T1 * T2 * 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, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 58, 97, 61, 32)(17, 33, 62, 80, 45, 34)(21, 40, 71, 110, 73, 41)(22, 42, 74, 112, 77, 43)(26, 50, 38, 70, 88, 51)(27, 52, 89, 114, 75, 53)(30, 56, 90, 128, 96, 57)(35, 65, 105, 124, 85, 49)(37, 68, 76, 115, 101, 69)(46, 81, 119, 95, 72, 82)(54, 92, 130, 100, 60, 79)(55, 93, 131, 154, 133, 94)(59, 98, 64, 104, 120, 99)(63, 102, 132, 107, 67, 103)(83, 121, 147, 127, 87, 113)(84, 122, 148, 135, 149, 123)(86, 125, 91, 129, 108, 126)(106, 139, 155, 138, 158, 140)(109, 141, 146, 118, 111, 116)(117, 144, 159, 151, 160, 145)(134, 156, 136, 143, 137, 157)(142, 153, 162, 150, 161, 152)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 67)(39, 56)(40, 72)(41, 58)(42, 75)(43, 76)(44, 79)(47, 83)(48, 84)(50, 86)(51, 87)(52, 90)(53, 91)(57, 95)(61, 89)(62, 101)(65, 81)(66, 106)(68, 108)(69, 85)(70, 109)(71, 111)(73, 103)(74, 113)(77, 116)(78, 117)(80, 118)(82, 120)(88, 119)(92, 115)(93, 130)(94, 132)(96, 123)(97, 121)(98, 134)(99, 135)(100, 136)(102, 137)(104, 138)(105, 139)(107, 114)(110, 142)(112, 143)(122, 147)(124, 145)(125, 150)(126, 151)(127, 152)(128, 153)(129, 154)(131, 149)(133, 155)(140, 146)(141, 144)(148, 160)(156, 159)(157, 161)(158, 162)
	local type(s) :: { ( 9^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2261
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 27 e = 81 f = 18
	degree seq :: [ 6^27 ]

E19.2263 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 9})
Quotient :: edge
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 13>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-1 * T1 * T2^-2)^2, (T1 * T2^-1 * T1 * T2^-2)^2, T2^-2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1, (T2 * T1)^9 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 57, 32, 16)(9, 19, 37, 69, 39, 20)(11, 22, 43, 76, 45, 23)(13, 26, 50, 88, 52, 27)(17, 33, 61, 100, 63, 34)(21, 40, 72, 111, 73, 41)(24, 46, 80, 119, 82, 47)(28, 53, 91, 130, 92, 54)(29, 55, 38, 70, 95, 56)(31, 58, 79, 118, 98, 59)(35, 64, 103, 138, 105, 65)(36, 66, 104, 126, 87, 67)(42, 74, 51, 89, 114, 75)(44, 77, 60, 99, 117, 78)(48, 83, 122, 150, 124, 84)(49, 85, 123, 107, 68, 86)(62, 90, 120, 81, 71, 101)(93, 131, 97, 136, 106, 132)(94, 133, 102, 115, 147, 134)(96, 135, 146, 113, 145, 121)(108, 129, 151, 128, 153, 140)(109, 141, 152, 127, 110, 139)(112, 143, 116, 148, 125, 144)(137, 158, 159, 156, 161, 154)(142, 149, 162, 155, 160, 157)(163, 164)(165, 169)(166, 171)(167, 173)(168, 175)(170, 179)(172, 183)(174, 186)(176, 190)(177, 191)(178, 193)(180, 197)(181, 198)(182, 200)(184, 204)(185, 206)(187, 210)(188, 211)(189, 213)(192, 216)(194, 222)(195, 214)(196, 224)(199, 230)(201, 208)(202, 233)(203, 205)(207, 241)(209, 243)(212, 249)(215, 252)(217, 255)(218, 256)(219, 258)(220, 242)(221, 259)(223, 239)(225, 264)(226, 260)(227, 266)(228, 268)(229, 254)(231, 270)(232, 271)(234, 272)(235, 248)(236, 274)(237, 275)(238, 277)(240, 278)(244, 283)(245, 279)(246, 285)(247, 287)(250, 289)(251, 290)(253, 291)(257, 282)(261, 288)(262, 299)(263, 276)(265, 295)(267, 301)(269, 280)(273, 304)(281, 311)(284, 307)(286, 313)(292, 316)(293, 317)(294, 318)(296, 319)(297, 309)(298, 312)(300, 310)(302, 314)(303, 320)(305, 321)(306, 322)(308, 323)(315, 324)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 18, 18 ), ( 18^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2267
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 162 f = 18
	degree seq :: [ 2^81, 6^27 ]

E19.2264 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 9})
Quotient :: edge
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 13>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1 * T2)^2, T1^6, T2^9, T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-2 * T2 * T1^-1 * T2, T2^-1 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2^-1, T2 * T1^-2 * T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 56, 69, 35, 15, 5)(2, 7, 19, 43, 83, 90, 48, 22, 8)(4, 12, 30, 63, 113, 98, 53, 24, 9)(6, 17, 38, 75, 127, 133, 80, 41, 18)(11, 27, 14, 34, 67, 119, 102, 55, 25)(13, 32, 52, 97, 150, 156, 110, 61, 29)(16, 36, 70, 121, 159, 162, 126, 73, 37)(20, 44, 21, 47, 88, 142, 135, 82, 42)(23, 50, 93, 147, 139, 112, 62, 31, 51)(28, 59, 101, 130, 78, 118, 68, 104, 57)(33, 58, 100, 54, 99, 115, 158, 117, 66)(39, 76, 40, 79, 131, 106, 152, 103, 74)(45, 86, 134, 161, 124, 141, 89, 137, 84)(46, 85, 94, 81, 95, 64, 114, 140, 87)(49, 91, 143, 111, 157, 123, 160, 146, 92)(60, 108, 105, 153, 116, 149, 96, 65, 109)(71, 122, 72, 125, 144, 138, 145, 136, 120)(77, 129, 151, 155, 107, 154, 132, 148, 128)(163, 164, 168, 178, 175, 166)(165, 171, 185, 211, 190, 173)(167, 176, 195, 207, 182, 169)(170, 183, 208, 239, 201, 179)(172, 187, 216, 251, 209, 184)(174, 191, 222, 269, 226, 193)(177, 192, 224, 273, 230, 196)(180, 202, 240, 285, 233, 198)(181, 204, 243, 294, 241, 203)(186, 214, 258, 310, 256, 212)(188, 210, 237, 288, 259, 215)(189, 219, 265, 313, 267, 220)(194, 199, 234, 286, 277, 227)(197, 205, 242, 283, 272, 225)(200, 236, 266, 305, 287, 235)(206, 246, 298, 308, 255, 247)(213, 257, 244, 296, 306, 253)(217, 263, 293, 316, 271, 261)(218, 260, 309, 322, 292, 264)(221, 254, 307, 321, 295, 268)(223, 232, 282, 299, 262, 270)(228, 278, 312, 324, 300, 248)(229, 280, 238, 290, 311, 279)(231, 281, 320, 323, 297, 245)(249, 301, 275, 318, 315, 291)(250, 303, 284, 319, 274, 302)(252, 304, 276, 317, 314, 289)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 4^6 ), ( 4^9 ) }
Outer automorphisms :: reflexible
Dual of E19.2268
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 162 f = 81
	degree seq :: [ 6^27, 9^18 ]

E19.2265 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 9})
Quotient :: edge
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 13>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^3)^2, T1^9, (T2 * T1^-1)^6, T1^-2 * T2 * T1^2 * T2 * T1^-3 * T2 * T1 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, (T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 39)(20, 40)(22, 31)(23, 43)(25, 45)(26, 46)(27, 48)(30, 53)(33, 58)(34, 59)(35, 62)(36, 63)(38, 66)(41, 72)(42, 65)(44, 73)(47, 78)(49, 82)(50, 83)(51, 86)(52, 87)(54, 89)(55, 90)(56, 91)(57, 93)(60, 98)(61, 99)(64, 104)(67, 107)(68, 108)(69, 110)(70, 94)(71, 111)(74, 114)(75, 101)(76, 115)(77, 116)(79, 96)(80, 117)(81, 119)(84, 122)(85, 123)(88, 125)(92, 128)(95, 131)(97, 133)(100, 135)(102, 137)(103, 138)(105, 140)(106, 134)(109, 141)(112, 143)(113, 144)(118, 147)(120, 149)(121, 150)(124, 151)(126, 152)(127, 153)(129, 154)(130, 155)(132, 157)(136, 159)(139, 161)(142, 162)(145, 156)(146, 160)(148, 158)(163, 164, 167, 173, 185, 204, 184, 172, 166)(165, 169, 177, 193, 216, 206, 186, 180, 170)(168, 175, 189, 183, 203, 233, 205, 192, 176)(171, 181, 200, 227, 209, 188, 174, 187, 182)(178, 195, 219, 199, 226, 265, 251, 222, 196)(179, 197, 223, 235, 254, 218, 194, 217, 198)(190, 211, 243, 215, 250, 274, 234, 246, 212)(191, 213, 247, 273, 280, 242, 210, 241, 214)(201, 229, 237, 207, 236, 275, 240, 271, 230)(202, 231, 239, 208, 238, 268, 228, 267, 232)(220, 256, 292, 260, 296, 301, 266, 278, 257)(221, 258, 294, 300, 309, 291, 255, 248, 259)(224, 262, 270, 252, 288, 306, 290, 298, 263)(225, 264, 284, 253, 289, 287, 261, 282, 244)(245, 272, 304, 305, 302, 310, 281, 277, 283)(249, 286, 269, 279, 308, 303, 285, 307, 276)(293, 299, 322, 323, 311, 313, 317, 315, 318)(295, 320, 297, 316, 324, 321, 319, 312, 314)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12, 12 ), ( 12^9 ) }
Outer automorphisms :: reflexible
Dual of E19.2266
Transitivity :: ET+
Graph:: simple bipartite
	v = 99 e = 162 f = 27
	degree seq :: [ 2^81, 9^18 ]

E19.2266 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 9})
Quotient :: loop
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 13>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-1 * T1 * T2^-2)^2, (T1 * T2^-1 * T1 * T2^-2)^2, T2^-2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1, (T2 * T1)^9 ]
Map::
	R = (1, 163, 3, 165, 8, 170, 18, 180, 10, 172, 4, 166)(2, 164, 5, 167, 12, 174, 25, 187, 14, 176, 6, 168)(7, 169, 15, 177, 30, 192, 57, 219, 32, 194, 16, 178)(9, 171, 19, 181, 37, 199, 69, 231, 39, 201, 20, 182)(11, 173, 22, 184, 43, 205, 76, 238, 45, 207, 23, 185)(13, 175, 26, 188, 50, 212, 88, 250, 52, 214, 27, 189)(17, 179, 33, 195, 61, 223, 100, 262, 63, 225, 34, 196)(21, 183, 40, 202, 72, 234, 111, 273, 73, 235, 41, 203)(24, 186, 46, 208, 80, 242, 119, 281, 82, 244, 47, 209)(28, 190, 53, 215, 91, 253, 130, 292, 92, 254, 54, 216)(29, 191, 55, 217, 38, 200, 70, 232, 95, 257, 56, 218)(31, 193, 58, 220, 79, 241, 118, 280, 98, 260, 59, 221)(35, 197, 64, 226, 103, 265, 138, 300, 105, 267, 65, 227)(36, 198, 66, 228, 104, 266, 126, 288, 87, 249, 67, 229)(42, 204, 74, 236, 51, 213, 89, 251, 114, 276, 75, 237)(44, 206, 77, 239, 60, 222, 99, 261, 117, 279, 78, 240)(48, 210, 83, 245, 122, 284, 150, 312, 124, 286, 84, 246)(49, 211, 85, 247, 123, 285, 107, 269, 68, 230, 86, 248)(62, 224, 90, 252, 120, 282, 81, 243, 71, 233, 101, 263)(93, 255, 131, 293, 97, 259, 136, 298, 106, 268, 132, 294)(94, 256, 133, 295, 102, 264, 115, 277, 147, 309, 134, 296)(96, 258, 135, 297, 146, 308, 113, 275, 145, 307, 121, 283)(108, 270, 129, 291, 151, 313, 128, 290, 153, 315, 140, 302)(109, 271, 141, 303, 152, 314, 127, 289, 110, 272, 139, 301)(112, 274, 143, 305, 116, 278, 148, 310, 125, 287, 144, 306)(137, 299, 158, 320, 159, 321, 156, 318, 161, 323, 154, 316)(142, 304, 149, 311, 162, 324, 155, 317, 160, 322, 157, 319)
	L = (1, 164)(2, 163)(3, 169)(4, 171)(5, 173)(6, 175)(7, 165)(8, 179)(9, 166)(10, 183)(11, 167)(12, 186)(13, 168)(14, 190)(15, 191)(16, 193)(17, 170)(18, 197)(19, 198)(20, 200)(21, 172)(22, 204)(23, 206)(24, 174)(25, 210)(26, 211)(27, 213)(28, 176)(29, 177)(30, 216)(31, 178)(32, 222)(33, 214)(34, 224)(35, 180)(36, 181)(37, 230)(38, 182)(39, 208)(40, 233)(41, 205)(42, 184)(43, 203)(44, 185)(45, 241)(46, 201)(47, 243)(48, 187)(49, 188)(50, 249)(51, 189)(52, 195)(53, 252)(54, 192)(55, 255)(56, 256)(57, 258)(58, 242)(59, 259)(60, 194)(61, 239)(62, 196)(63, 264)(64, 260)(65, 266)(66, 268)(67, 254)(68, 199)(69, 270)(70, 271)(71, 202)(72, 272)(73, 248)(74, 274)(75, 275)(76, 277)(77, 223)(78, 278)(79, 207)(80, 220)(81, 209)(82, 283)(83, 279)(84, 285)(85, 287)(86, 235)(87, 212)(88, 289)(89, 290)(90, 215)(91, 291)(92, 229)(93, 217)(94, 218)(95, 282)(96, 219)(97, 221)(98, 226)(99, 288)(100, 299)(101, 276)(102, 225)(103, 295)(104, 227)(105, 301)(106, 228)(107, 280)(108, 231)(109, 232)(110, 234)(111, 304)(112, 236)(113, 237)(114, 263)(115, 238)(116, 240)(117, 245)(118, 269)(119, 311)(120, 257)(121, 244)(122, 307)(123, 246)(124, 313)(125, 247)(126, 261)(127, 250)(128, 251)(129, 253)(130, 316)(131, 317)(132, 318)(133, 265)(134, 319)(135, 309)(136, 312)(137, 262)(138, 310)(139, 267)(140, 314)(141, 320)(142, 273)(143, 321)(144, 322)(145, 284)(146, 323)(147, 297)(148, 300)(149, 281)(150, 298)(151, 286)(152, 302)(153, 324)(154, 292)(155, 293)(156, 294)(157, 296)(158, 303)(159, 305)(160, 306)(161, 308)(162, 315)
	local type(s) :: { ( 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.2265
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 162 f = 99
	degree seq :: [ 12^27 ]

E19.2267 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 9})
Quotient :: loop
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 13>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1 * T2)^2, T1^6, T2^9, T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-2 * T2 * T1^-1 * T2, T2^-1 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2^-1, T2 * T1^-2 * T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-2 ]
Map::
	R = (1, 163, 3, 165, 10, 172, 26, 188, 56, 218, 69, 231, 35, 197, 15, 177, 5, 167)(2, 164, 7, 169, 19, 181, 43, 205, 83, 245, 90, 252, 48, 210, 22, 184, 8, 170)(4, 166, 12, 174, 30, 192, 63, 225, 113, 275, 98, 260, 53, 215, 24, 186, 9, 171)(6, 168, 17, 179, 38, 200, 75, 237, 127, 289, 133, 295, 80, 242, 41, 203, 18, 180)(11, 173, 27, 189, 14, 176, 34, 196, 67, 229, 119, 281, 102, 264, 55, 217, 25, 187)(13, 175, 32, 194, 52, 214, 97, 259, 150, 312, 156, 318, 110, 272, 61, 223, 29, 191)(16, 178, 36, 198, 70, 232, 121, 283, 159, 321, 162, 324, 126, 288, 73, 235, 37, 199)(20, 182, 44, 206, 21, 183, 47, 209, 88, 250, 142, 304, 135, 297, 82, 244, 42, 204)(23, 185, 50, 212, 93, 255, 147, 309, 139, 301, 112, 274, 62, 224, 31, 193, 51, 213)(28, 190, 59, 221, 101, 263, 130, 292, 78, 240, 118, 280, 68, 230, 104, 266, 57, 219)(33, 195, 58, 220, 100, 262, 54, 216, 99, 261, 115, 277, 158, 320, 117, 279, 66, 228)(39, 201, 76, 238, 40, 202, 79, 241, 131, 293, 106, 268, 152, 314, 103, 265, 74, 236)(45, 207, 86, 248, 134, 296, 161, 323, 124, 286, 141, 303, 89, 251, 137, 299, 84, 246)(46, 208, 85, 247, 94, 256, 81, 243, 95, 257, 64, 226, 114, 276, 140, 302, 87, 249)(49, 211, 91, 253, 143, 305, 111, 273, 157, 319, 123, 285, 160, 322, 146, 308, 92, 254)(60, 222, 108, 270, 105, 267, 153, 315, 116, 278, 149, 311, 96, 258, 65, 227, 109, 271)(71, 233, 122, 284, 72, 234, 125, 287, 144, 306, 138, 300, 145, 307, 136, 298, 120, 282)(77, 239, 129, 291, 151, 313, 155, 317, 107, 269, 154, 316, 132, 294, 148, 310, 128, 290)
	L = (1, 164)(2, 168)(3, 171)(4, 163)(5, 176)(6, 178)(7, 167)(8, 183)(9, 185)(10, 187)(11, 165)(12, 191)(13, 166)(14, 195)(15, 192)(16, 175)(17, 170)(18, 202)(19, 204)(20, 169)(21, 208)(22, 172)(23, 211)(24, 214)(25, 216)(26, 210)(27, 219)(28, 173)(29, 222)(30, 224)(31, 174)(32, 199)(33, 207)(34, 177)(35, 205)(36, 180)(37, 234)(38, 236)(39, 179)(40, 240)(41, 181)(42, 243)(43, 242)(44, 246)(45, 182)(46, 239)(47, 184)(48, 237)(49, 190)(50, 186)(51, 257)(52, 258)(53, 188)(54, 251)(55, 263)(56, 260)(57, 265)(58, 189)(59, 254)(60, 269)(61, 232)(62, 273)(63, 197)(64, 193)(65, 194)(66, 278)(67, 280)(68, 196)(69, 281)(70, 282)(71, 198)(72, 286)(73, 200)(74, 266)(75, 288)(76, 290)(77, 201)(78, 285)(79, 203)(80, 283)(81, 294)(82, 296)(83, 231)(84, 298)(85, 206)(86, 228)(87, 301)(88, 303)(89, 209)(90, 304)(91, 213)(92, 307)(93, 247)(94, 212)(95, 244)(96, 310)(97, 215)(98, 309)(99, 217)(100, 270)(101, 293)(102, 218)(103, 313)(104, 305)(105, 220)(106, 221)(107, 226)(108, 223)(109, 261)(110, 225)(111, 230)(112, 302)(113, 318)(114, 317)(115, 227)(116, 312)(117, 229)(118, 238)(119, 320)(120, 299)(121, 272)(122, 319)(123, 233)(124, 277)(125, 235)(126, 259)(127, 252)(128, 311)(129, 249)(130, 264)(131, 316)(132, 241)(133, 268)(134, 306)(135, 245)(136, 308)(137, 262)(138, 248)(139, 275)(140, 250)(141, 284)(142, 276)(143, 287)(144, 253)(145, 321)(146, 255)(147, 322)(148, 256)(149, 279)(150, 324)(151, 267)(152, 289)(153, 291)(154, 271)(155, 314)(156, 315)(157, 274)(158, 323)(159, 295)(160, 292)(161, 297)(162, 300)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2263
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 162 f = 108
	degree seq :: [ 18^18 ]

E19.2268 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 9})
Quotient :: loop
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 13>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^3)^2, T1^9, (T2 * T1^-1)^6, T1^-2 * T2 * T1^2 * T2 * T1^-3 * T2 * T1 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, (T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165)(2, 164, 6, 168)(4, 166, 9, 171)(5, 167, 12, 174)(7, 169, 16, 178)(8, 170, 17, 179)(10, 172, 21, 183)(11, 173, 24, 186)(13, 175, 28, 190)(14, 176, 29, 191)(15, 177, 32, 194)(18, 180, 37, 199)(19, 181, 39, 201)(20, 182, 40, 202)(22, 184, 31, 193)(23, 185, 43, 205)(25, 187, 45, 207)(26, 188, 46, 208)(27, 189, 48, 210)(30, 192, 53, 215)(33, 195, 58, 220)(34, 196, 59, 221)(35, 197, 62, 224)(36, 198, 63, 225)(38, 200, 66, 228)(41, 203, 72, 234)(42, 204, 65, 227)(44, 206, 73, 235)(47, 209, 78, 240)(49, 211, 82, 244)(50, 212, 83, 245)(51, 213, 86, 248)(52, 214, 87, 249)(54, 216, 89, 251)(55, 217, 90, 252)(56, 218, 91, 253)(57, 219, 93, 255)(60, 222, 98, 260)(61, 223, 99, 261)(64, 226, 104, 266)(67, 229, 107, 269)(68, 230, 108, 270)(69, 231, 110, 272)(70, 232, 94, 256)(71, 233, 111, 273)(74, 236, 114, 276)(75, 237, 101, 263)(76, 238, 115, 277)(77, 239, 116, 278)(79, 241, 96, 258)(80, 242, 117, 279)(81, 243, 119, 281)(84, 246, 122, 284)(85, 247, 123, 285)(88, 250, 125, 287)(92, 254, 128, 290)(95, 257, 131, 293)(97, 259, 133, 295)(100, 262, 135, 297)(102, 264, 137, 299)(103, 265, 138, 300)(105, 267, 140, 302)(106, 268, 134, 296)(109, 271, 141, 303)(112, 274, 143, 305)(113, 275, 144, 306)(118, 280, 147, 309)(120, 282, 149, 311)(121, 283, 150, 312)(124, 286, 151, 313)(126, 288, 152, 314)(127, 289, 153, 315)(129, 291, 154, 316)(130, 292, 155, 317)(132, 294, 157, 319)(136, 298, 159, 321)(139, 301, 161, 323)(142, 304, 162, 324)(145, 307, 156, 318)(146, 308, 160, 322)(148, 310, 158, 320)
	L = (1, 164)(2, 167)(3, 169)(4, 163)(5, 173)(6, 175)(7, 177)(8, 165)(9, 181)(10, 166)(11, 185)(12, 187)(13, 189)(14, 168)(15, 193)(16, 195)(17, 197)(18, 170)(19, 200)(20, 171)(21, 203)(22, 172)(23, 204)(24, 180)(25, 182)(26, 174)(27, 183)(28, 211)(29, 213)(30, 176)(31, 216)(32, 217)(33, 219)(34, 178)(35, 223)(36, 179)(37, 226)(38, 227)(39, 229)(40, 231)(41, 233)(42, 184)(43, 192)(44, 186)(45, 236)(46, 238)(47, 188)(48, 241)(49, 243)(50, 190)(51, 247)(52, 191)(53, 250)(54, 206)(55, 198)(56, 194)(57, 199)(58, 256)(59, 258)(60, 196)(61, 235)(62, 262)(63, 264)(64, 265)(65, 209)(66, 267)(67, 237)(68, 201)(69, 239)(70, 202)(71, 205)(72, 246)(73, 254)(74, 275)(75, 207)(76, 268)(77, 208)(78, 271)(79, 214)(80, 210)(81, 215)(82, 225)(83, 272)(84, 212)(85, 273)(86, 259)(87, 286)(88, 274)(89, 222)(90, 288)(91, 289)(92, 218)(93, 248)(94, 292)(95, 220)(96, 294)(97, 221)(98, 296)(99, 282)(100, 270)(101, 224)(102, 284)(103, 251)(104, 278)(105, 232)(106, 228)(107, 279)(108, 252)(109, 230)(110, 304)(111, 280)(112, 234)(113, 240)(114, 249)(115, 283)(116, 257)(117, 308)(118, 242)(119, 277)(120, 244)(121, 245)(122, 253)(123, 307)(124, 269)(125, 261)(126, 306)(127, 287)(128, 298)(129, 255)(130, 260)(131, 299)(132, 300)(133, 320)(134, 301)(135, 316)(136, 263)(137, 322)(138, 309)(139, 266)(140, 310)(141, 285)(142, 305)(143, 302)(144, 290)(145, 276)(146, 303)(147, 291)(148, 281)(149, 313)(150, 314)(151, 317)(152, 295)(153, 318)(154, 324)(155, 315)(156, 293)(157, 312)(158, 297)(159, 319)(160, 323)(161, 311)(162, 321)
	local type(s) :: { ( 6, 9, 6, 9 ) }
Outer automorphisms :: reflexible
Dual of E19.2264
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 81 e = 162 f = 45
	degree seq :: [ 4^81 ]

E19.2269 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 13>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^-2 * Y1)^2, (Y1 * Y2^-1 * Y1 * Y2^-2)^2, (Y1 * Y2^-1 * Y1 * Y2^-2)^2, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 17, 179)(10, 172, 21, 183)(12, 174, 24, 186)(14, 176, 28, 190)(15, 177, 29, 191)(16, 178, 31, 193)(18, 180, 35, 197)(19, 181, 36, 198)(20, 182, 38, 200)(22, 184, 42, 204)(23, 185, 44, 206)(25, 187, 48, 210)(26, 188, 49, 211)(27, 189, 51, 213)(30, 192, 54, 216)(32, 194, 60, 222)(33, 195, 52, 214)(34, 196, 62, 224)(37, 199, 68, 230)(39, 201, 46, 208)(40, 202, 71, 233)(41, 203, 43, 205)(45, 207, 79, 241)(47, 209, 81, 243)(50, 212, 87, 249)(53, 215, 90, 252)(55, 217, 93, 255)(56, 218, 94, 256)(57, 219, 96, 258)(58, 220, 80, 242)(59, 221, 97, 259)(61, 223, 77, 239)(63, 225, 102, 264)(64, 226, 98, 260)(65, 227, 104, 266)(66, 228, 106, 268)(67, 229, 92, 254)(69, 231, 108, 270)(70, 232, 109, 271)(72, 234, 110, 272)(73, 235, 86, 248)(74, 236, 112, 274)(75, 237, 113, 275)(76, 238, 115, 277)(78, 240, 116, 278)(82, 244, 121, 283)(83, 245, 117, 279)(84, 246, 123, 285)(85, 247, 125, 287)(88, 250, 127, 289)(89, 251, 128, 290)(91, 253, 129, 291)(95, 257, 120, 282)(99, 261, 126, 288)(100, 262, 137, 299)(101, 263, 114, 276)(103, 265, 133, 295)(105, 267, 139, 301)(107, 269, 118, 280)(111, 273, 142, 304)(119, 281, 149, 311)(122, 284, 145, 307)(124, 286, 151, 313)(130, 292, 154, 316)(131, 293, 155, 317)(132, 294, 156, 318)(134, 296, 157, 319)(135, 297, 147, 309)(136, 298, 150, 312)(138, 300, 148, 310)(140, 302, 152, 314)(141, 303, 158, 320)(143, 305, 159, 321)(144, 306, 160, 322)(146, 308, 161, 323)(153, 315, 162, 324)(325, 487, 327, 489, 332, 494, 342, 504, 334, 496, 328, 490)(326, 488, 329, 491, 336, 498, 349, 511, 338, 500, 330, 492)(331, 493, 339, 501, 354, 516, 381, 543, 356, 518, 340, 502)(333, 495, 343, 505, 361, 523, 393, 555, 363, 525, 344, 506)(335, 497, 346, 508, 367, 529, 400, 562, 369, 531, 347, 509)(337, 499, 350, 512, 374, 536, 412, 574, 376, 538, 351, 513)(341, 503, 357, 519, 385, 547, 424, 586, 387, 549, 358, 520)(345, 507, 364, 526, 396, 558, 435, 597, 397, 559, 365, 527)(348, 510, 370, 532, 404, 566, 443, 605, 406, 568, 371, 533)(352, 514, 377, 539, 415, 577, 454, 616, 416, 578, 378, 540)(353, 515, 379, 541, 362, 524, 394, 556, 419, 581, 380, 542)(355, 517, 382, 544, 403, 565, 442, 604, 422, 584, 383, 545)(359, 521, 388, 550, 427, 589, 462, 624, 429, 591, 389, 551)(360, 522, 390, 552, 428, 590, 450, 612, 411, 573, 391, 553)(366, 528, 398, 560, 375, 537, 413, 575, 438, 600, 399, 561)(368, 530, 401, 563, 384, 546, 423, 585, 441, 603, 402, 564)(372, 534, 407, 569, 446, 608, 474, 636, 448, 610, 408, 570)(373, 535, 409, 571, 447, 609, 431, 593, 392, 554, 410, 572)(386, 548, 414, 576, 444, 606, 405, 567, 395, 557, 425, 587)(417, 579, 455, 617, 421, 583, 460, 622, 430, 592, 456, 618)(418, 580, 457, 619, 426, 588, 439, 601, 471, 633, 458, 620)(420, 582, 459, 621, 470, 632, 437, 599, 469, 631, 445, 607)(432, 594, 453, 615, 475, 637, 452, 614, 477, 639, 464, 626)(433, 595, 465, 627, 476, 638, 451, 613, 434, 596, 463, 625)(436, 598, 467, 629, 440, 602, 472, 634, 449, 611, 468, 630)(461, 623, 482, 644, 483, 645, 480, 642, 485, 647, 478, 640)(466, 628, 473, 635, 486, 648, 479, 641, 484, 646, 481, 643)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 348)(13, 330)(14, 352)(15, 353)(16, 355)(17, 332)(18, 359)(19, 360)(20, 362)(21, 334)(22, 366)(23, 368)(24, 336)(25, 372)(26, 373)(27, 375)(28, 338)(29, 339)(30, 378)(31, 340)(32, 384)(33, 376)(34, 386)(35, 342)(36, 343)(37, 392)(38, 344)(39, 370)(40, 395)(41, 367)(42, 346)(43, 365)(44, 347)(45, 403)(46, 363)(47, 405)(48, 349)(49, 350)(50, 411)(51, 351)(52, 357)(53, 414)(54, 354)(55, 417)(56, 418)(57, 420)(58, 404)(59, 421)(60, 356)(61, 401)(62, 358)(63, 426)(64, 422)(65, 428)(66, 430)(67, 416)(68, 361)(69, 432)(70, 433)(71, 364)(72, 434)(73, 410)(74, 436)(75, 437)(76, 439)(77, 385)(78, 440)(79, 369)(80, 382)(81, 371)(82, 445)(83, 441)(84, 447)(85, 449)(86, 397)(87, 374)(88, 451)(89, 452)(90, 377)(91, 453)(92, 391)(93, 379)(94, 380)(95, 444)(96, 381)(97, 383)(98, 388)(99, 450)(100, 461)(101, 438)(102, 387)(103, 457)(104, 389)(105, 463)(106, 390)(107, 442)(108, 393)(109, 394)(110, 396)(111, 466)(112, 398)(113, 399)(114, 425)(115, 400)(116, 402)(117, 407)(118, 431)(119, 473)(120, 419)(121, 406)(122, 469)(123, 408)(124, 475)(125, 409)(126, 423)(127, 412)(128, 413)(129, 415)(130, 478)(131, 479)(132, 480)(133, 427)(134, 481)(135, 471)(136, 474)(137, 424)(138, 472)(139, 429)(140, 476)(141, 482)(142, 435)(143, 483)(144, 484)(145, 446)(146, 485)(147, 459)(148, 462)(149, 443)(150, 460)(151, 448)(152, 464)(153, 486)(154, 454)(155, 455)(156, 456)(157, 458)(158, 465)(159, 467)(160, 468)(161, 470)(162, 477)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.2272
Graph:: bipartite
	v = 108 e = 324 f = 180
	degree seq :: [ 4^81, 12^27 ]

E19.2270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 13>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^6, (Y2 * Y1^-1 * Y2)^2, Y2^9, Y2^-1 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y2^-1, Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1 * Y2, Y2 * Y1^-2 * Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^2 * Y1^-2 ]
Map::
	R = (1, 163, 2, 164, 6, 168, 16, 178, 13, 175, 4, 166)(3, 165, 9, 171, 23, 185, 49, 211, 28, 190, 11, 173)(5, 167, 14, 176, 33, 195, 45, 207, 20, 182, 7, 169)(8, 170, 21, 183, 46, 208, 77, 239, 39, 201, 17, 179)(10, 172, 25, 187, 54, 216, 89, 251, 47, 209, 22, 184)(12, 174, 29, 191, 60, 222, 107, 269, 64, 226, 31, 193)(15, 177, 30, 192, 62, 224, 111, 273, 68, 230, 34, 196)(18, 180, 40, 202, 78, 240, 123, 285, 71, 233, 36, 198)(19, 181, 42, 204, 81, 243, 132, 294, 79, 241, 41, 203)(24, 186, 52, 214, 96, 258, 148, 310, 94, 256, 50, 212)(26, 188, 48, 210, 75, 237, 126, 288, 97, 259, 53, 215)(27, 189, 57, 219, 103, 265, 151, 313, 105, 267, 58, 220)(32, 194, 37, 199, 72, 234, 124, 286, 115, 277, 65, 227)(35, 197, 43, 205, 80, 242, 121, 283, 110, 272, 63, 225)(38, 200, 74, 236, 104, 266, 143, 305, 125, 287, 73, 235)(44, 206, 84, 246, 136, 298, 146, 308, 93, 255, 85, 247)(51, 213, 95, 257, 82, 244, 134, 296, 144, 306, 91, 253)(55, 217, 101, 263, 131, 293, 154, 316, 109, 271, 99, 261)(56, 218, 98, 260, 147, 309, 160, 322, 130, 292, 102, 264)(59, 221, 92, 254, 145, 307, 159, 321, 133, 295, 106, 268)(61, 223, 70, 232, 120, 282, 137, 299, 100, 262, 108, 270)(66, 228, 116, 278, 150, 312, 162, 324, 138, 300, 86, 248)(67, 229, 118, 280, 76, 238, 128, 290, 149, 311, 117, 279)(69, 231, 119, 281, 158, 320, 161, 323, 135, 297, 83, 245)(87, 249, 139, 301, 113, 275, 156, 318, 153, 315, 129, 291)(88, 250, 141, 303, 122, 284, 157, 319, 112, 274, 140, 302)(90, 252, 142, 304, 114, 276, 155, 317, 152, 314, 127, 289)(325, 487, 327, 489, 334, 496, 350, 512, 380, 542, 393, 555, 359, 521, 339, 501, 329, 491)(326, 488, 331, 493, 343, 505, 367, 529, 407, 569, 414, 576, 372, 534, 346, 508, 332, 494)(328, 490, 336, 498, 354, 516, 387, 549, 437, 599, 422, 584, 377, 539, 348, 510, 333, 495)(330, 492, 341, 503, 362, 524, 399, 561, 451, 613, 457, 619, 404, 566, 365, 527, 342, 504)(335, 497, 351, 513, 338, 500, 358, 520, 391, 553, 443, 605, 426, 588, 379, 541, 349, 511)(337, 499, 356, 518, 376, 538, 421, 583, 474, 636, 480, 642, 434, 596, 385, 547, 353, 515)(340, 502, 360, 522, 394, 556, 445, 607, 483, 645, 486, 648, 450, 612, 397, 559, 361, 523)(344, 506, 368, 530, 345, 507, 371, 533, 412, 574, 466, 628, 459, 621, 406, 568, 366, 528)(347, 509, 374, 536, 417, 579, 471, 633, 463, 625, 436, 598, 386, 548, 355, 517, 375, 537)(352, 514, 383, 545, 425, 587, 454, 616, 402, 564, 442, 604, 392, 554, 428, 590, 381, 543)(357, 519, 382, 544, 424, 586, 378, 540, 423, 585, 439, 601, 482, 644, 441, 603, 390, 552)(363, 525, 400, 562, 364, 526, 403, 565, 455, 617, 430, 592, 476, 638, 427, 589, 398, 560)(369, 531, 410, 572, 458, 620, 485, 647, 448, 610, 465, 627, 413, 575, 461, 623, 408, 570)(370, 532, 409, 571, 418, 580, 405, 567, 419, 581, 388, 550, 438, 600, 464, 626, 411, 573)(373, 535, 415, 577, 467, 629, 435, 597, 481, 643, 447, 609, 484, 646, 470, 632, 416, 578)(384, 546, 432, 594, 429, 591, 477, 639, 440, 602, 473, 635, 420, 582, 389, 551, 433, 595)(395, 557, 446, 608, 396, 558, 449, 611, 468, 630, 462, 624, 469, 631, 460, 622, 444, 606)(401, 563, 453, 615, 475, 637, 479, 641, 431, 593, 478, 640, 456, 618, 472, 634, 452, 614)
	L = (1, 327)(2, 331)(3, 334)(4, 336)(5, 325)(6, 341)(7, 343)(8, 326)(9, 328)(10, 350)(11, 351)(12, 354)(13, 356)(14, 358)(15, 329)(16, 360)(17, 362)(18, 330)(19, 367)(20, 368)(21, 371)(22, 332)(23, 374)(24, 333)(25, 335)(26, 380)(27, 338)(28, 383)(29, 337)(30, 387)(31, 375)(32, 376)(33, 382)(34, 391)(35, 339)(36, 394)(37, 340)(38, 399)(39, 400)(40, 403)(41, 342)(42, 344)(43, 407)(44, 345)(45, 410)(46, 409)(47, 412)(48, 346)(49, 415)(50, 417)(51, 347)(52, 421)(53, 348)(54, 423)(55, 349)(56, 393)(57, 352)(58, 424)(59, 425)(60, 432)(61, 353)(62, 355)(63, 437)(64, 438)(65, 433)(66, 357)(67, 443)(68, 428)(69, 359)(70, 445)(71, 446)(72, 449)(73, 361)(74, 363)(75, 451)(76, 364)(77, 453)(78, 442)(79, 455)(80, 365)(81, 419)(82, 366)(83, 414)(84, 369)(85, 418)(86, 458)(87, 370)(88, 466)(89, 461)(90, 372)(91, 467)(92, 373)(93, 471)(94, 405)(95, 388)(96, 389)(97, 474)(98, 377)(99, 439)(100, 378)(101, 454)(102, 379)(103, 398)(104, 381)(105, 477)(106, 476)(107, 478)(108, 429)(109, 384)(110, 385)(111, 481)(112, 386)(113, 422)(114, 464)(115, 482)(116, 473)(117, 390)(118, 392)(119, 426)(120, 395)(121, 483)(122, 396)(123, 484)(124, 465)(125, 468)(126, 397)(127, 457)(128, 401)(129, 475)(130, 402)(131, 430)(132, 472)(133, 404)(134, 485)(135, 406)(136, 444)(137, 408)(138, 469)(139, 436)(140, 411)(141, 413)(142, 459)(143, 435)(144, 462)(145, 460)(146, 416)(147, 463)(148, 452)(149, 420)(150, 480)(151, 479)(152, 427)(153, 440)(154, 456)(155, 431)(156, 434)(157, 447)(158, 441)(159, 486)(160, 470)(161, 448)(162, 450)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2271
Graph:: bipartite
	v = 45 e = 324 f = 243
	degree seq :: [ 12^27, 18^18 ]

E19.2271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 13>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-3 * Y2)^2, Y3^9, (Y3 * Y2)^6, Y3^-2 * Y2 * Y3^2 * Y2 * Y3^-3 * Y2 * Y3 * Y2 * Y3^-1, Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3, (Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^9 ]
Map:: polytopal
	R = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)(325, 487, 326, 488)(327, 489, 331, 493)(328, 490, 333, 495)(329, 491, 335, 497)(330, 492, 337, 499)(332, 494, 341, 503)(334, 496, 345, 507)(336, 498, 349, 511)(338, 500, 353, 515)(339, 501, 355, 517)(340, 502, 357, 519)(342, 504, 354, 516)(343, 505, 362, 524)(344, 506, 364, 526)(346, 508, 350, 512)(347, 509, 367, 529)(348, 510, 369, 531)(351, 513, 374, 536)(352, 514, 376, 538)(356, 518, 381, 543)(358, 520, 384, 546)(359, 521, 386, 548)(360, 522, 387, 549)(361, 523, 385, 547)(363, 525, 391, 553)(365, 527, 395, 557)(366, 528, 392, 554)(368, 530, 399, 561)(370, 532, 402, 564)(371, 533, 404, 566)(372, 534, 405, 567)(373, 535, 403, 565)(375, 537, 409, 571)(377, 539, 413, 575)(378, 540, 410, 572)(379, 541, 412, 574)(380, 542, 416, 578)(382, 544, 420, 582)(383, 545, 422, 584)(388, 550, 428, 590)(389, 551, 429, 591)(390, 552, 430, 592)(393, 555, 434, 596)(394, 556, 397, 559)(396, 558, 436, 598)(398, 560, 438, 600)(400, 562, 418, 580)(401, 563, 442, 604)(406, 568, 447, 609)(407, 569, 448, 610)(408, 570, 425, 587)(411, 573, 452, 614)(414, 576, 454, 616)(415, 577, 455, 617)(417, 579, 446, 608)(419, 581, 457, 619)(421, 583, 459, 621)(423, 585, 451, 613)(424, 586, 461, 623)(426, 588, 463, 625)(427, 589, 439, 601)(431, 593, 464, 626)(432, 594, 465, 627)(433, 595, 443, 605)(435, 597, 467, 629)(437, 599, 468, 630)(440, 602, 470, 632)(441, 603, 472, 634)(444, 606, 474, 636)(445, 607, 476, 638)(449, 611, 477, 639)(450, 612, 478, 640)(453, 615, 480, 642)(456, 618, 482, 644)(458, 620, 471, 633)(460, 622, 485, 647)(462, 624, 475, 637)(466, 628, 486, 648)(469, 631, 484, 646)(473, 635, 481, 643)(479, 641, 483, 645)
	L = (1, 327)(2, 329)(3, 332)(4, 325)(5, 336)(6, 326)(7, 339)(8, 342)(9, 343)(10, 328)(11, 347)(12, 350)(13, 351)(14, 330)(15, 356)(16, 331)(17, 359)(18, 361)(19, 363)(20, 333)(21, 365)(22, 334)(23, 368)(24, 335)(25, 371)(26, 373)(27, 375)(28, 337)(29, 377)(30, 338)(31, 379)(32, 345)(33, 382)(34, 340)(35, 344)(36, 341)(37, 366)(38, 389)(39, 392)(40, 393)(41, 396)(42, 346)(43, 397)(44, 353)(45, 400)(46, 348)(47, 352)(48, 349)(49, 378)(50, 407)(51, 410)(52, 411)(53, 414)(54, 354)(55, 415)(56, 355)(57, 418)(58, 421)(59, 357)(60, 423)(61, 358)(62, 424)(63, 426)(64, 360)(65, 425)(66, 362)(67, 432)(68, 388)(69, 427)(70, 364)(71, 417)(72, 385)(73, 437)(74, 367)(75, 420)(76, 441)(77, 369)(78, 443)(79, 370)(80, 444)(81, 445)(82, 372)(83, 430)(84, 374)(85, 450)(86, 406)(87, 446)(88, 376)(89, 439)(90, 403)(91, 384)(92, 434)(93, 380)(94, 383)(95, 381)(96, 401)(97, 436)(98, 460)(99, 435)(100, 462)(101, 386)(102, 433)(103, 387)(104, 431)(105, 457)(106, 404)(107, 390)(108, 394)(109, 391)(110, 466)(111, 395)(112, 458)(113, 402)(114, 452)(115, 398)(116, 399)(117, 454)(118, 473)(119, 453)(120, 475)(121, 451)(122, 405)(123, 449)(124, 470)(125, 408)(126, 412)(127, 409)(128, 479)(129, 413)(130, 471)(131, 463)(132, 416)(133, 483)(134, 419)(135, 484)(136, 429)(137, 422)(138, 428)(139, 456)(140, 459)(141, 481)(142, 467)(143, 465)(144, 476)(145, 438)(146, 486)(147, 440)(148, 482)(149, 448)(150, 442)(151, 447)(152, 469)(153, 472)(154, 485)(155, 480)(156, 478)(157, 455)(158, 474)(159, 464)(160, 461)(161, 468)(162, 477)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 18 ), ( 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.2270
Graph:: simple bipartite
	v = 243 e = 324 f = 45
	degree seq :: [ 2^162, 4^81 ]

E19.2272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 13>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^3 * Y3^-1 * Y1^3, Y1^9, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^6, Y1^-2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-3 * Y3 * Y1 * Y3 * Y1^-1, Y1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2)^2 ]
Map:: polytopal
	R = (1, 163, 2, 164, 5, 167, 11, 173, 23, 185, 42, 204, 22, 184, 10, 172, 4, 166)(3, 165, 7, 169, 15, 177, 31, 193, 54, 216, 44, 206, 24, 186, 18, 180, 8, 170)(6, 168, 13, 175, 27, 189, 21, 183, 41, 203, 71, 233, 43, 205, 30, 192, 14, 176)(9, 171, 19, 181, 38, 200, 65, 227, 47, 209, 26, 188, 12, 174, 25, 187, 20, 182)(16, 178, 33, 195, 57, 219, 37, 199, 64, 226, 103, 265, 89, 251, 60, 222, 34, 196)(17, 179, 35, 197, 61, 223, 73, 235, 92, 254, 56, 218, 32, 194, 55, 217, 36, 198)(28, 190, 49, 211, 81, 243, 53, 215, 88, 250, 112, 274, 72, 234, 84, 246, 50, 212)(29, 191, 51, 213, 85, 247, 111, 273, 118, 280, 80, 242, 48, 210, 79, 241, 52, 214)(39, 201, 67, 229, 75, 237, 45, 207, 74, 236, 113, 275, 78, 240, 109, 271, 68, 230)(40, 202, 69, 231, 77, 239, 46, 208, 76, 238, 106, 268, 66, 228, 105, 267, 70, 232)(58, 220, 94, 256, 130, 292, 98, 260, 134, 296, 139, 301, 104, 266, 116, 278, 95, 257)(59, 221, 96, 258, 132, 294, 138, 300, 147, 309, 129, 291, 93, 255, 86, 248, 97, 259)(62, 224, 100, 262, 108, 270, 90, 252, 126, 288, 144, 306, 128, 290, 136, 298, 101, 263)(63, 225, 102, 264, 122, 284, 91, 253, 127, 289, 125, 287, 99, 261, 120, 282, 82, 244)(83, 245, 110, 272, 142, 304, 143, 305, 140, 302, 148, 310, 119, 281, 115, 277, 121, 283)(87, 249, 124, 286, 107, 269, 117, 279, 146, 308, 141, 303, 123, 285, 145, 307, 114, 276)(131, 293, 137, 299, 160, 322, 161, 323, 149, 311, 151, 313, 155, 317, 153, 315, 156, 318)(133, 295, 158, 320, 135, 297, 154, 316, 162, 324, 159, 321, 157, 319, 150, 312, 152, 314)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 330)(3, 325)(4, 333)(5, 336)(6, 326)(7, 340)(8, 341)(9, 328)(10, 345)(11, 348)(12, 329)(13, 352)(14, 353)(15, 356)(16, 331)(17, 332)(18, 361)(19, 363)(20, 364)(21, 334)(22, 355)(23, 367)(24, 335)(25, 369)(26, 370)(27, 372)(28, 337)(29, 338)(30, 377)(31, 346)(32, 339)(33, 382)(34, 383)(35, 386)(36, 387)(37, 342)(38, 390)(39, 343)(40, 344)(41, 396)(42, 389)(43, 347)(44, 397)(45, 349)(46, 350)(47, 402)(48, 351)(49, 406)(50, 407)(51, 410)(52, 411)(53, 354)(54, 413)(55, 414)(56, 415)(57, 417)(58, 357)(59, 358)(60, 422)(61, 423)(62, 359)(63, 360)(64, 428)(65, 366)(66, 362)(67, 431)(68, 432)(69, 434)(70, 418)(71, 435)(72, 365)(73, 368)(74, 438)(75, 425)(76, 439)(77, 440)(78, 371)(79, 420)(80, 441)(81, 443)(82, 373)(83, 374)(84, 446)(85, 447)(86, 375)(87, 376)(88, 449)(89, 378)(90, 379)(91, 380)(92, 452)(93, 381)(94, 394)(95, 455)(96, 403)(97, 457)(98, 384)(99, 385)(100, 459)(101, 399)(102, 461)(103, 462)(104, 388)(105, 464)(106, 458)(107, 391)(108, 392)(109, 465)(110, 393)(111, 395)(112, 467)(113, 468)(114, 398)(115, 400)(116, 401)(117, 404)(118, 471)(119, 405)(120, 473)(121, 474)(122, 408)(123, 409)(124, 475)(125, 412)(126, 476)(127, 477)(128, 416)(129, 478)(130, 479)(131, 419)(132, 481)(133, 421)(134, 430)(135, 424)(136, 483)(137, 426)(138, 427)(139, 485)(140, 429)(141, 433)(142, 486)(143, 436)(144, 437)(145, 480)(146, 484)(147, 442)(148, 482)(149, 444)(150, 445)(151, 448)(152, 450)(153, 451)(154, 453)(155, 454)(156, 469)(157, 456)(158, 472)(159, 460)(160, 470)(161, 463)(162, 466)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2269
Graph:: simple bipartite
	v = 180 e = 324 f = 108
	degree seq :: [ 2^162, 18^18 ]

E19.2273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 13>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-3 * Y1)^2, Y2 * R * Y2^-3 * R * Y2^2, Y2^9, (Y3 * Y2^-1)^6, Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-3 * Y1 * Y2 * Y1 * Y2^-1, Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, (Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^2 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 17, 179)(10, 172, 21, 183)(12, 174, 25, 187)(14, 176, 29, 191)(15, 177, 31, 193)(16, 178, 33, 195)(18, 180, 30, 192)(19, 181, 38, 200)(20, 182, 40, 202)(22, 184, 26, 188)(23, 185, 43, 205)(24, 186, 45, 207)(27, 189, 50, 212)(28, 190, 52, 214)(32, 194, 57, 219)(34, 196, 60, 222)(35, 197, 62, 224)(36, 198, 63, 225)(37, 199, 61, 223)(39, 201, 67, 229)(41, 203, 71, 233)(42, 204, 68, 230)(44, 206, 75, 237)(46, 208, 78, 240)(47, 209, 80, 242)(48, 210, 81, 243)(49, 211, 79, 241)(51, 213, 85, 247)(53, 215, 89, 251)(54, 216, 86, 248)(55, 217, 88, 250)(56, 218, 92, 254)(58, 220, 96, 258)(59, 221, 98, 260)(64, 226, 104, 266)(65, 227, 105, 267)(66, 228, 106, 268)(69, 231, 110, 272)(70, 232, 73, 235)(72, 234, 112, 274)(74, 236, 114, 276)(76, 238, 94, 256)(77, 239, 118, 280)(82, 244, 123, 285)(83, 245, 124, 286)(84, 246, 101, 263)(87, 249, 128, 290)(90, 252, 130, 292)(91, 253, 131, 293)(93, 255, 122, 284)(95, 257, 133, 295)(97, 259, 135, 297)(99, 261, 127, 289)(100, 262, 137, 299)(102, 264, 139, 301)(103, 265, 115, 277)(107, 269, 140, 302)(108, 270, 141, 303)(109, 271, 119, 281)(111, 273, 143, 305)(113, 275, 144, 306)(116, 278, 146, 308)(117, 279, 148, 310)(120, 282, 150, 312)(121, 283, 152, 314)(125, 287, 153, 315)(126, 288, 154, 316)(129, 291, 156, 318)(132, 294, 158, 320)(134, 296, 147, 309)(136, 298, 161, 323)(138, 300, 151, 313)(142, 304, 162, 324)(145, 307, 160, 322)(149, 311, 157, 319)(155, 317, 159, 321)(325, 487, 327, 489, 332, 494, 342, 504, 361, 523, 366, 528, 346, 508, 334, 496, 328, 490)(326, 488, 329, 491, 336, 498, 350, 512, 373, 535, 378, 540, 354, 516, 338, 500, 330, 492)(331, 493, 339, 501, 356, 518, 345, 507, 365, 527, 396, 558, 385, 547, 358, 520, 340, 502)(333, 495, 343, 505, 363, 525, 392, 554, 388, 550, 360, 522, 341, 503, 359, 521, 344, 506)(335, 497, 347, 509, 368, 530, 353, 515, 377, 539, 414, 576, 403, 565, 370, 532, 348, 510)(337, 499, 351, 513, 375, 537, 410, 572, 406, 568, 372, 534, 349, 511, 371, 533, 352, 514)(355, 517, 379, 541, 415, 577, 384, 546, 423, 585, 435, 597, 395, 557, 417, 579, 380, 542)(357, 519, 382, 544, 421, 583, 436, 598, 458, 620, 419, 581, 381, 543, 418, 580, 383, 545)(362, 524, 389, 551, 425, 587, 386, 548, 424, 586, 462, 624, 428, 590, 431, 593, 390, 552)(364, 526, 393, 555, 427, 589, 387, 549, 426, 588, 433, 595, 391, 553, 432, 594, 394, 556)(367, 529, 397, 559, 437, 599, 402, 564, 443, 605, 453, 615, 413, 575, 439, 601, 398, 560)(369, 531, 400, 562, 441, 603, 454, 616, 471, 633, 440, 602, 399, 561, 420, 582, 401, 563)(374, 536, 407, 569, 430, 592, 404, 566, 444, 606, 475, 637, 447, 609, 449, 611, 408, 570)(376, 538, 411, 573, 446, 608, 405, 567, 445, 607, 451, 613, 409, 571, 450, 612, 412, 574)(416, 578, 434, 596, 466, 628, 467, 629, 465, 627, 481, 643, 455, 617, 463, 625, 456, 618)(422, 584, 460, 622, 429, 591, 457, 619, 483, 645, 464, 626, 459, 621, 484, 646, 461, 623)(438, 600, 452, 614, 479, 641, 480, 642, 478, 640, 485, 647, 468, 630, 476, 638, 469, 631)(442, 604, 473, 635, 448, 610, 470, 632, 486, 648, 477, 639, 472, 634, 482, 644, 474, 636)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 349)(13, 330)(14, 353)(15, 355)(16, 357)(17, 332)(18, 354)(19, 362)(20, 364)(21, 334)(22, 350)(23, 367)(24, 369)(25, 336)(26, 346)(27, 374)(28, 376)(29, 338)(30, 342)(31, 339)(32, 381)(33, 340)(34, 384)(35, 386)(36, 387)(37, 385)(38, 343)(39, 391)(40, 344)(41, 395)(42, 392)(43, 347)(44, 399)(45, 348)(46, 402)(47, 404)(48, 405)(49, 403)(50, 351)(51, 409)(52, 352)(53, 413)(54, 410)(55, 412)(56, 416)(57, 356)(58, 420)(59, 422)(60, 358)(61, 361)(62, 359)(63, 360)(64, 428)(65, 429)(66, 430)(67, 363)(68, 366)(69, 434)(70, 397)(71, 365)(72, 436)(73, 394)(74, 438)(75, 368)(76, 418)(77, 442)(78, 370)(79, 373)(80, 371)(81, 372)(82, 447)(83, 448)(84, 425)(85, 375)(86, 378)(87, 452)(88, 379)(89, 377)(90, 454)(91, 455)(92, 380)(93, 446)(94, 400)(95, 457)(96, 382)(97, 459)(98, 383)(99, 451)(100, 461)(101, 408)(102, 463)(103, 439)(104, 388)(105, 389)(106, 390)(107, 464)(108, 465)(109, 443)(110, 393)(111, 467)(112, 396)(113, 468)(114, 398)(115, 427)(116, 470)(117, 472)(118, 401)(119, 433)(120, 474)(121, 476)(122, 417)(123, 406)(124, 407)(125, 477)(126, 478)(127, 423)(128, 411)(129, 480)(130, 414)(131, 415)(132, 482)(133, 419)(134, 471)(135, 421)(136, 485)(137, 424)(138, 475)(139, 426)(140, 431)(141, 432)(142, 486)(143, 435)(144, 437)(145, 484)(146, 440)(147, 458)(148, 441)(149, 481)(150, 444)(151, 462)(152, 445)(153, 449)(154, 450)(155, 483)(156, 453)(157, 473)(158, 456)(159, 479)(160, 469)(161, 460)(162, 466)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2274
Graph:: bipartite
	v = 99 e = 324 f = 189
	degree seq :: [ 4^81, 18^18 ]

E19.2274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 13>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1 * Y3)^2, Y1^6, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1 * Y3, Y3^-1 * Y1 * Y3^2 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^9 ]
Map:: polytopal
	R = (1, 163, 2, 164, 6, 168, 16, 178, 13, 175, 4, 166)(3, 165, 9, 171, 23, 185, 49, 211, 28, 190, 11, 173)(5, 167, 14, 176, 33, 195, 45, 207, 20, 182, 7, 169)(8, 170, 21, 183, 46, 208, 77, 239, 39, 201, 17, 179)(10, 172, 25, 187, 54, 216, 89, 251, 47, 209, 22, 184)(12, 174, 29, 191, 60, 222, 107, 269, 64, 226, 31, 193)(15, 177, 30, 192, 62, 224, 111, 273, 68, 230, 34, 196)(18, 180, 40, 202, 78, 240, 123, 285, 71, 233, 36, 198)(19, 181, 42, 204, 81, 243, 132, 294, 79, 241, 41, 203)(24, 186, 52, 214, 96, 258, 148, 310, 94, 256, 50, 212)(26, 188, 48, 210, 75, 237, 126, 288, 97, 259, 53, 215)(27, 189, 57, 219, 103, 265, 151, 313, 105, 267, 58, 220)(32, 194, 37, 199, 72, 234, 124, 286, 115, 277, 65, 227)(35, 197, 43, 205, 80, 242, 121, 283, 110, 272, 63, 225)(38, 200, 74, 236, 104, 266, 143, 305, 125, 287, 73, 235)(44, 206, 84, 246, 136, 298, 146, 308, 93, 255, 85, 247)(51, 213, 95, 257, 82, 244, 134, 296, 144, 306, 91, 253)(55, 217, 101, 263, 131, 293, 154, 316, 109, 271, 99, 261)(56, 218, 98, 260, 147, 309, 160, 322, 130, 292, 102, 264)(59, 221, 92, 254, 145, 307, 159, 321, 133, 295, 106, 268)(61, 223, 70, 232, 120, 282, 137, 299, 100, 262, 108, 270)(66, 228, 116, 278, 150, 312, 162, 324, 138, 300, 86, 248)(67, 229, 118, 280, 76, 238, 128, 290, 149, 311, 117, 279)(69, 231, 119, 281, 158, 320, 161, 323, 135, 297, 83, 245)(87, 249, 139, 301, 113, 275, 156, 318, 153, 315, 129, 291)(88, 250, 141, 303, 122, 284, 157, 319, 112, 274, 140, 302)(90, 252, 142, 304, 114, 276, 155, 317, 152, 314, 127, 289)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 334)(4, 336)(5, 325)(6, 341)(7, 343)(8, 326)(9, 328)(10, 350)(11, 351)(12, 354)(13, 356)(14, 358)(15, 329)(16, 360)(17, 362)(18, 330)(19, 367)(20, 368)(21, 371)(22, 332)(23, 374)(24, 333)(25, 335)(26, 380)(27, 338)(28, 383)(29, 337)(30, 387)(31, 375)(32, 376)(33, 382)(34, 391)(35, 339)(36, 394)(37, 340)(38, 399)(39, 400)(40, 403)(41, 342)(42, 344)(43, 407)(44, 345)(45, 410)(46, 409)(47, 412)(48, 346)(49, 415)(50, 417)(51, 347)(52, 421)(53, 348)(54, 423)(55, 349)(56, 393)(57, 352)(58, 424)(59, 425)(60, 432)(61, 353)(62, 355)(63, 437)(64, 438)(65, 433)(66, 357)(67, 443)(68, 428)(69, 359)(70, 445)(71, 446)(72, 449)(73, 361)(74, 363)(75, 451)(76, 364)(77, 453)(78, 442)(79, 455)(80, 365)(81, 419)(82, 366)(83, 414)(84, 369)(85, 418)(86, 458)(87, 370)(88, 466)(89, 461)(90, 372)(91, 467)(92, 373)(93, 471)(94, 405)(95, 388)(96, 389)(97, 474)(98, 377)(99, 439)(100, 378)(101, 454)(102, 379)(103, 398)(104, 381)(105, 477)(106, 476)(107, 478)(108, 429)(109, 384)(110, 385)(111, 481)(112, 386)(113, 422)(114, 464)(115, 482)(116, 473)(117, 390)(118, 392)(119, 426)(120, 395)(121, 483)(122, 396)(123, 484)(124, 465)(125, 468)(126, 397)(127, 457)(128, 401)(129, 475)(130, 402)(131, 430)(132, 472)(133, 404)(134, 485)(135, 406)(136, 444)(137, 408)(138, 469)(139, 436)(140, 411)(141, 413)(142, 459)(143, 435)(144, 462)(145, 460)(146, 416)(147, 463)(148, 452)(149, 420)(150, 480)(151, 479)(152, 427)(153, 440)(154, 456)(155, 431)(156, 434)(157, 447)(158, 441)(159, 486)(160, 470)(161, 448)(162, 450)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E19.2273
Graph:: simple bipartite
	v = 189 e = 324 f = 99
	degree seq :: [ 2^162, 12^27 ]

E19.2275 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 7, 7})
Quotient :: regular
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^7, T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1, T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2, (T1^-1 * T2 * T1^-1)^4, (T1^-1 * T2 * T1^-2)^3, (T1 * T2)^7 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 22, 10, 4)(3, 7, 15, 30, 37, 18, 8)(6, 13, 26, 51, 58, 29, 14)(9, 19, 38, 73, 80, 41, 20)(12, 24, 47, 91, 97, 50, 25)(16, 32, 62, 111, 89, 65, 33)(17, 34, 66, 114, 117, 69, 35)(21, 42, 81, 127, 98, 84, 43)(23, 45, 87, 72, 120, 90, 46)(27, 53, 101, 143, 133, 103, 54)(28, 55, 67, 82, 129, 104, 56)(31, 60, 108, 149, 152, 110, 61)(36, 70, 118, 158, 137, 92, 71)(39, 75, 122, 95, 49, 64, 76)(40, 77, 123, 88, 135, 125, 78)(44, 85, 132, 106, 59, 107, 86)(48, 93, 138, 131, 83, 130, 94)(52, 99, 79, 126, 163, 142, 100)(57, 63, 113, 154, 167, 134, 105)(68, 74, 121, 148, 168, 156, 115)(96, 102, 145, 159, 165, 166, 140)(109, 150, 141, 161, 119, 160, 147)(112, 153, 116, 157, 144, 162, 146)(124, 128, 164, 136, 139, 151, 155)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 23)(13, 27)(14, 28)(15, 31)(18, 36)(19, 39)(20, 40)(22, 44)(24, 48)(25, 49)(26, 52)(29, 57)(30, 59)(32, 63)(33, 64)(34, 67)(35, 68)(37, 72)(38, 74)(41, 79)(42, 82)(43, 83)(45, 88)(46, 89)(47, 92)(50, 96)(51, 98)(53, 102)(54, 65)(55, 76)(56, 61)(58, 106)(60, 109)(62, 112)(66, 77)(69, 116)(70, 75)(71, 119)(73, 120)(78, 124)(80, 91)(81, 128)(84, 108)(85, 114)(86, 133)(87, 134)(90, 136)(93, 139)(94, 103)(95, 100)(97, 127)(99, 141)(101, 144)(104, 146)(105, 147)(107, 148)(110, 151)(111, 137)(113, 155)(115, 145)(117, 149)(118, 159)(121, 160)(122, 157)(123, 130)(125, 162)(126, 129)(131, 165)(132, 166)(135, 168)(138, 153)(140, 150)(142, 156)(143, 167)(152, 158)(154, 163)(161, 164)
	local type(s) :: { ( 7^7 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 24 e = 84 f = 24
	degree seq :: [ 7^24 ]

E19.2276 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 7, 7})
Quotient :: edge
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^7, T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1, (T2^-1 * T1 * T2^-2)^3, (T2^-1 * T1 * T2^-1)^4, (T1 * T2)^7 ]
Map:: polytopal
	R = (1, 3, 8, 18, 22, 10, 4)(2, 5, 12, 26, 30, 14, 6)(7, 15, 32, 62, 66, 34, 16)(9, 19, 39, 76, 80, 41, 20)(11, 23, 46, 89, 90, 48, 24)(13, 27, 53, 96, 99, 55, 28)(17, 35, 68, 115, 118, 70, 36)(21, 42, 82, 129, 110, 84, 43)(25, 49, 92, 141, 143, 93, 50)(29, 56, 100, 149, 138, 102, 57)(31, 59, 106, 154, 133, 107, 60)(33, 63, 52, 81, 127, 111, 64)(37, 71, 104, 58, 103, 120, 72)(38, 73, 121, 116, 69, 47, 74)(40, 77, 123, 119, 160, 125, 78)(44, 85, 132, 95, 51, 94, 86)(45, 87, 135, 167, 152, 112, 65)(54, 75, 122, 144, 168, 146, 97)(61, 108, 79, 126, 163, 156, 109)(67, 113, 158, 131, 83, 130, 114)(88, 136, 98, 147, 153, 162, 137)(91, 139, 155, 151, 101, 150, 140)(105, 145, 148, 165, 166, 159, 117)(124, 128, 164, 161, 157, 142, 134)(169, 170)(171, 175)(172, 177)(173, 179)(174, 181)(176, 185)(178, 189)(180, 193)(182, 197)(183, 199)(184, 201)(186, 205)(187, 206)(188, 208)(190, 212)(191, 213)(192, 215)(194, 219)(195, 220)(196, 222)(198, 226)(200, 229)(202, 233)(203, 235)(204, 237)(207, 243)(209, 247)(210, 249)(211, 251)(214, 256)(216, 228)(217, 259)(218, 232)(221, 245)(223, 266)(224, 241)(225, 269)(227, 273)(230, 278)(231, 242)(234, 263)(236, 270)(238, 285)(239, 287)(240, 258)(244, 271)(246, 292)(248, 283)(250, 296)(252, 260)(253, 264)(254, 301)(255, 302)(257, 306)(261, 310)(262, 312)(265, 313)(267, 309)(268, 316)(272, 320)(274, 321)(275, 282)(276, 323)(277, 284)(279, 305)(280, 308)(281, 325)(286, 297)(288, 329)(289, 315)(290, 318)(291, 298)(293, 330)(294, 295)(299, 333)(300, 334)(303, 331)(304, 326)(307, 327)(311, 317)(314, 324)(319, 332)(322, 335)(328, 336)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 14, 14 ), ( 14^7 ) }
Outer automorphisms :: reflexible
Dual of E19.2277
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 168 f = 24
	degree seq :: [ 2^84, 7^24 ]

E19.2277 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 7, 7})
Quotient :: loop
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^7, T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1, (T2^-1 * T1 * T2^-2)^3, (T2^-1 * T1 * T2^-1)^4, (T1 * T2)^7 ]
Map::
	R = (1, 169, 3, 171, 8, 176, 18, 186, 22, 190, 10, 178, 4, 172)(2, 170, 5, 173, 12, 180, 26, 194, 30, 198, 14, 182, 6, 174)(7, 175, 15, 183, 32, 200, 62, 230, 66, 234, 34, 202, 16, 184)(9, 177, 19, 187, 39, 207, 76, 244, 80, 248, 41, 209, 20, 188)(11, 179, 23, 191, 46, 214, 89, 257, 90, 258, 48, 216, 24, 192)(13, 181, 27, 195, 53, 221, 96, 264, 99, 267, 55, 223, 28, 196)(17, 185, 35, 203, 68, 236, 115, 283, 118, 286, 70, 238, 36, 204)(21, 189, 42, 210, 82, 250, 129, 297, 110, 278, 84, 252, 43, 211)(25, 193, 49, 217, 92, 260, 141, 309, 143, 311, 93, 261, 50, 218)(29, 197, 56, 224, 100, 268, 149, 317, 138, 306, 102, 270, 57, 225)(31, 199, 59, 227, 106, 274, 154, 322, 133, 301, 107, 275, 60, 228)(33, 201, 63, 231, 52, 220, 81, 249, 127, 295, 111, 279, 64, 232)(37, 205, 71, 239, 104, 272, 58, 226, 103, 271, 120, 288, 72, 240)(38, 206, 73, 241, 121, 289, 116, 284, 69, 237, 47, 215, 74, 242)(40, 208, 77, 245, 123, 291, 119, 287, 160, 328, 125, 293, 78, 246)(44, 212, 85, 253, 132, 300, 95, 263, 51, 219, 94, 262, 86, 254)(45, 213, 87, 255, 135, 303, 167, 335, 152, 320, 112, 280, 65, 233)(54, 222, 75, 243, 122, 290, 144, 312, 168, 336, 146, 314, 97, 265)(61, 229, 108, 276, 79, 247, 126, 294, 163, 331, 156, 324, 109, 277)(67, 235, 113, 281, 158, 326, 131, 299, 83, 251, 130, 298, 114, 282)(88, 256, 136, 304, 98, 266, 147, 315, 153, 321, 162, 330, 137, 305)(91, 259, 139, 307, 155, 323, 151, 319, 101, 269, 150, 318, 140, 308)(105, 273, 145, 313, 148, 316, 165, 333, 166, 334, 159, 327, 117, 285)(124, 292, 128, 296, 164, 332, 161, 329, 157, 325, 142, 310, 134, 302)
	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, 199)(16, 201)(17, 176)(18, 205)(19, 206)(20, 208)(21, 178)(22, 212)(23, 213)(24, 215)(25, 180)(26, 219)(27, 220)(28, 222)(29, 182)(30, 226)(31, 183)(32, 229)(33, 184)(34, 233)(35, 235)(36, 237)(37, 186)(38, 187)(39, 243)(40, 188)(41, 247)(42, 249)(43, 251)(44, 190)(45, 191)(46, 256)(47, 192)(48, 228)(49, 259)(50, 232)(51, 194)(52, 195)(53, 245)(54, 196)(55, 266)(56, 241)(57, 269)(58, 198)(59, 273)(60, 216)(61, 200)(62, 278)(63, 242)(64, 218)(65, 202)(66, 263)(67, 203)(68, 270)(69, 204)(70, 285)(71, 287)(72, 258)(73, 224)(74, 231)(75, 207)(76, 271)(77, 221)(78, 292)(79, 209)(80, 283)(81, 210)(82, 296)(83, 211)(84, 260)(85, 264)(86, 301)(87, 302)(88, 214)(89, 306)(90, 240)(91, 217)(92, 252)(93, 310)(94, 312)(95, 234)(96, 253)(97, 313)(98, 223)(99, 309)(100, 316)(101, 225)(102, 236)(103, 244)(104, 320)(105, 227)(106, 321)(107, 282)(108, 323)(109, 284)(110, 230)(111, 305)(112, 308)(113, 325)(114, 275)(115, 248)(116, 277)(117, 238)(118, 297)(119, 239)(120, 329)(121, 315)(122, 318)(123, 298)(124, 246)(125, 330)(126, 295)(127, 294)(128, 250)(129, 286)(130, 291)(131, 333)(132, 334)(133, 254)(134, 255)(135, 331)(136, 326)(137, 279)(138, 257)(139, 327)(140, 280)(141, 267)(142, 261)(143, 317)(144, 262)(145, 265)(146, 324)(147, 289)(148, 268)(149, 311)(150, 290)(151, 332)(152, 272)(153, 274)(154, 335)(155, 276)(156, 314)(157, 281)(158, 304)(159, 307)(160, 336)(161, 288)(162, 293)(163, 303)(164, 319)(165, 299)(166, 300)(167, 322)(168, 328)
	local type(s) :: { ( 2, 7, 2, 7, 2, 7, 2, 7, 2, 7, 2, 7, 2, 7 ) }
Outer automorphisms :: reflexible
Dual of E19.2276
Transitivity :: ET+ VT+ AT
Graph::
	v = 24 e = 168 f = 108
	degree seq :: [ 14^24 ]

E19.2278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^7, (R * Y2^2 * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-2 * Y1 * Y2^-1)^3, (Y2^-1 * Y1 * Y2^-1)^4, (Y1 * Y2)^7, (Y3 * Y2^-1)^7 ]
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, 31, 199)(16, 184, 33, 201)(18, 186, 37, 205)(19, 187, 38, 206)(20, 188, 40, 208)(22, 190, 44, 212)(23, 191, 45, 213)(24, 192, 47, 215)(26, 194, 51, 219)(27, 195, 52, 220)(28, 196, 54, 222)(30, 198, 58, 226)(32, 200, 61, 229)(34, 202, 65, 233)(35, 203, 67, 235)(36, 204, 69, 237)(39, 207, 75, 243)(41, 209, 79, 247)(42, 210, 81, 249)(43, 211, 83, 251)(46, 214, 88, 256)(48, 216, 60, 228)(49, 217, 91, 259)(50, 218, 64, 232)(53, 221, 77, 245)(55, 223, 98, 266)(56, 224, 73, 241)(57, 225, 101, 269)(59, 227, 105, 273)(62, 230, 110, 278)(63, 231, 74, 242)(66, 234, 95, 263)(68, 236, 102, 270)(70, 238, 117, 285)(71, 239, 119, 287)(72, 240, 90, 258)(76, 244, 103, 271)(78, 246, 124, 292)(80, 248, 115, 283)(82, 250, 128, 296)(84, 252, 92, 260)(85, 253, 96, 264)(86, 254, 133, 301)(87, 255, 134, 302)(89, 257, 138, 306)(93, 261, 142, 310)(94, 262, 144, 312)(97, 265, 145, 313)(99, 267, 141, 309)(100, 268, 148, 316)(104, 272, 152, 320)(106, 274, 153, 321)(107, 275, 114, 282)(108, 276, 155, 323)(109, 277, 116, 284)(111, 279, 137, 305)(112, 280, 140, 308)(113, 281, 157, 325)(118, 286, 129, 297)(120, 288, 161, 329)(121, 289, 147, 315)(122, 290, 150, 318)(123, 291, 130, 298)(125, 293, 162, 330)(126, 294, 127, 295)(131, 299, 165, 333)(132, 300, 166, 334)(135, 303, 163, 331)(136, 304, 158, 326)(139, 307, 159, 327)(143, 311, 149, 317)(146, 314, 156, 324)(151, 319, 164, 332)(154, 322, 167, 335)(160, 328, 168, 336)(337, 505, 339, 507, 344, 512, 354, 522, 358, 526, 346, 514, 340, 508)(338, 506, 341, 509, 348, 516, 362, 530, 366, 534, 350, 518, 342, 510)(343, 511, 351, 519, 368, 536, 398, 566, 402, 570, 370, 538, 352, 520)(345, 513, 355, 523, 375, 543, 412, 580, 416, 584, 377, 545, 356, 524)(347, 515, 359, 527, 382, 550, 425, 593, 426, 594, 384, 552, 360, 528)(349, 517, 363, 531, 389, 557, 432, 600, 435, 603, 391, 559, 364, 532)(353, 521, 371, 539, 404, 572, 451, 619, 454, 622, 406, 574, 372, 540)(357, 525, 378, 546, 418, 586, 465, 633, 446, 614, 420, 588, 379, 547)(361, 529, 385, 553, 428, 596, 477, 645, 479, 647, 429, 597, 386, 554)(365, 533, 392, 560, 436, 604, 485, 653, 474, 642, 438, 606, 393, 561)(367, 535, 395, 563, 442, 610, 490, 658, 469, 637, 443, 611, 396, 564)(369, 537, 399, 567, 388, 556, 417, 585, 463, 631, 447, 615, 400, 568)(373, 541, 407, 575, 440, 608, 394, 562, 439, 607, 456, 624, 408, 576)(374, 542, 409, 577, 457, 625, 452, 620, 405, 573, 383, 551, 410, 578)(376, 544, 413, 581, 459, 627, 455, 623, 496, 664, 461, 629, 414, 582)(380, 548, 421, 589, 468, 636, 431, 599, 387, 555, 430, 598, 422, 590)(381, 549, 423, 591, 471, 639, 503, 671, 488, 656, 448, 616, 401, 569)(390, 558, 411, 579, 458, 626, 480, 648, 504, 672, 482, 650, 433, 601)(397, 565, 444, 612, 415, 583, 462, 630, 499, 667, 492, 660, 445, 613)(403, 571, 449, 617, 494, 662, 467, 635, 419, 587, 466, 634, 450, 618)(424, 592, 472, 640, 434, 602, 483, 651, 489, 657, 498, 666, 473, 641)(427, 595, 475, 643, 491, 659, 487, 655, 437, 605, 486, 654, 476, 644)(441, 609, 481, 649, 484, 652, 501, 669, 502, 670, 495, 663, 453, 621)(460, 628, 464, 632, 500, 668, 497, 665, 493, 661, 478, 646, 470, 638)
	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, 367)(16, 369)(17, 344)(18, 373)(19, 374)(20, 376)(21, 346)(22, 380)(23, 381)(24, 383)(25, 348)(26, 387)(27, 388)(28, 390)(29, 350)(30, 394)(31, 351)(32, 397)(33, 352)(34, 401)(35, 403)(36, 405)(37, 354)(38, 355)(39, 411)(40, 356)(41, 415)(42, 417)(43, 419)(44, 358)(45, 359)(46, 424)(47, 360)(48, 396)(49, 427)(50, 400)(51, 362)(52, 363)(53, 413)(54, 364)(55, 434)(56, 409)(57, 437)(58, 366)(59, 441)(60, 384)(61, 368)(62, 446)(63, 410)(64, 386)(65, 370)(66, 431)(67, 371)(68, 438)(69, 372)(70, 453)(71, 455)(72, 426)(73, 392)(74, 399)(75, 375)(76, 439)(77, 389)(78, 460)(79, 377)(80, 451)(81, 378)(82, 464)(83, 379)(84, 428)(85, 432)(86, 469)(87, 470)(88, 382)(89, 474)(90, 408)(91, 385)(92, 420)(93, 478)(94, 480)(95, 402)(96, 421)(97, 481)(98, 391)(99, 477)(100, 484)(101, 393)(102, 404)(103, 412)(104, 488)(105, 395)(106, 489)(107, 450)(108, 491)(109, 452)(110, 398)(111, 473)(112, 476)(113, 493)(114, 443)(115, 416)(116, 445)(117, 406)(118, 465)(119, 407)(120, 497)(121, 483)(122, 486)(123, 466)(124, 414)(125, 498)(126, 463)(127, 462)(128, 418)(129, 454)(130, 459)(131, 501)(132, 502)(133, 422)(134, 423)(135, 499)(136, 494)(137, 447)(138, 425)(139, 495)(140, 448)(141, 435)(142, 429)(143, 485)(144, 430)(145, 433)(146, 492)(147, 457)(148, 436)(149, 479)(150, 458)(151, 500)(152, 440)(153, 442)(154, 503)(155, 444)(156, 482)(157, 449)(158, 472)(159, 475)(160, 504)(161, 456)(162, 461)(163, 471)(164, 487)(165, 467)(166, 468)(167, 490)(168, 496)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 2, 14, 2, 14 ), ( 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.2279
Graph:: bipartite
	v = 108 e = 336 f = 192
	degree seq :: [ 4^84, 14^24 ]

E19.2279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^7, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1, (Y1^-1 * Y3 * Y1^-1)^4, (Y3 * Y1^-3)^3, (Y1 * Y3)^7 ]
Map:: polytopal
	R = (1, 169, 2, 170, 5, 173, 11, 179, 22, 190, 10, 178, 4, 172)(3, 171, 7, 175, 15, 183, 30, 198, 37, 205, 18, 186, 8, 176)(6, 174, 13, 181, 26, 194, 51, 219, 58, 226, 29, 197, 14, 182)(9, 177, 19, 187, 38, 206, 73, 241, 80, 248, 41, 209, 20, 188)(12, 180, 24, 192, 47, 215, 91, 259, 97, 265, 50, 218, 25, 193)(16, 184, 32, 200, 62, 230, 111, 279, 89, 257, 65, 233, 33, 201)(17, 185, 34, 202, 66, 234, 114, 282, 117, 285, 69, 237, 35, 203)(21, 189, 42, 210, 81, 249, 127, 295, 98, 266, 84, 252, 43, 211)(23, 191, 45, 213, 87, 255, 72, 240, 120, 288, 90, 258, 46, 214)(27, 195, 53, 221, 101, 269, 143, 311, 133, 301, 103, 271, 54, 222)(28, 196, 55, 223, 67, 235, 82, 250, 129, 297, 104, 272, 56, 224)(31, 199, 60, 228, 108, 276, 149, 317, 152, 320, 110, 278, 61, 229)(36, 204, 70, 238, 118, 286, 158, 326, 137, 305, 92, 260, 71, 239)(39, 207, 75, 243, 122, 290, 95, 263, 49, 217, 64, 232, 76, 244)(40, 208, 77, 245, 123, 291, 88, 256, 135, 303, 125, 293, 78, 246)(44, 212, 85, 253, 132, 300, 106, 274, 59, 227, 107, 275, 86, 254)(48, 216, 93, 261, 138, 306, 131, 299, 83, 251, 130, 298, 94, 262)(52, 220, 99, 267, 79, 247, 126, 294, 163, 331, 142, 310, 100, 268)(57, 225, 63, 231, 113, 281, 154, 322, 167, 335, 134, 302, 105, 273)(68, 236, 74, 242, 121, 289, 148, 316, 168, 336, 156, 324, 115, 283)(96, 264, 102, 270, 145, 313, 159, 327, 165, 333, 166, 334, 140, 308)(109, 277, 150, 318, 141, 309, 161, 329, 119, 287, 160, 328, 147, 315)(112, 280, 153, 321, 116, 284, 157, 325, 144, 312, 162, 330, 146, 314)(124, 292, 128, 296, 164, 332, 136, 304, 139, 307, 151, 319, 155, 323)(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, 359)(12, 341)(13, 363)(14, 364)(15, 367)(16, 343)(17, 344)(18, 372)(19, 375)(20, 376)(21, 346)(22, 380)(23, 347)(24, 384)(25, 385)(26, 388)(27, 349)(28, 350)(29, 393)(30, 395)(31, 351)(32, 399)(33, 400)(34, 403)(35, 404)(36, 354)(37, 408)(38, 410)(39, 355)(40, 356)(41, 415)(42, 418)(43, 419)(44, 358)(45, 424)(46, 425)(47, 428)(48, 360)(49, 361)(50, 432)(51, 434)(52, 362)(53, 438)(54, 401)(55, 412)(56, 397)(57, 365)(58, 442)(59, 366)(60, 445)(61, 392)(62, 448)(63, 368)(64, 369)(65, 390)(66, 413)(67, 370)(68, 371)(69, 452)(70, 411)(71, 455)(72, 373)(73, 456)(74, 374)(75, 406)(76, 391)(77, 402)(78, 460)(79, 377)(80, 427)(81, 464)(82, 378)(83, 379)(84, 444)(85, 450)(86, 469)(87, 470)(88, 381)(89, 382)(90, 472)(91, 416)(92, 383)(93, 475)(94, 439)(95, 436)(96, 386)(97, 463)(98, 387)(99, 477)(100, 431)(101, 480)(102, 389)(103, 430)(104, 482)(105, 483)(106, 394)(107, 484)(108, 420)(109, 396)(110, 487)(111, 473)(112, 398)(113, 491)(114, 421)(115, 481)(116, 405)(117, 485)(118, 495)(119, 407)(120, 409)(121, 496)(122, 493)(123, 466)(124, 414)(125, 498)(126, 465)(127, 433)(128, 417)(129, 462)(130, 459)(131, 501)(132, 502)(133, 422)(134, 423)(135, 504)(136, 426)(137, 447)(138, 489)(139, 429)(140, 486)(141, 435)(142, 492)(143, 503)(144, 437)(145, 451)(146, 440)(147, 441)(148, 443)(149, 453)(150, 476)(151, 446)(152, 494)(153, 474)(154, 499)(155, 449)(156, 478)(157, 458)(158, 488)(159, 454)(160, 457)(161, 500)(162, 461)(163, 490)(164, 497)(165, 467)(166, 468)(167, 479)(168, 471)(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, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.2278
Graph:: simple bipartite
	v = 192 e = 336 f = 108
	degree seq :: [ 2^168, 14^24 ]

E19.2280 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 6})
Quotient :: edge
Aut^+ = (C3 x C3 x Q8) : C3 (small group id <216, 42>)
Aut   = $<432, 258>$ (small group id <432, 258>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^3, T2^6, T2^-2 * T1^-1 * T2^-3 * T1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 41, 21, 7)(4, 11, 30, 56, 33, 12)(8, 22, 50, 37, 53, 23)(10, 27, 58, 38, 61, 28)(13, 34, 55, 24, 54, 35)(14, 36, 48, 26, 39, 16)(18, 43, 80, 49, 83, 44)(19, 45, 78, 40, 77, 46)(20, 47, 68, 42, 62, 29)(31, 64, 108, 69, 111, 65)(32, 66, 106, 63, 105, 67)(51, 91, 139, 89, 114, 92)(52, 93, 101, 90, 96, 57)(59, 97, 150, 102, 153, 98)(60, 99, 116, 70, 115, 100)(71, 117, 146, 94, 145, 118)(72, 119, 75, 95, 120, 73)(74, 121, 79, 76, 123, 122)(81, 126, 179, 130, 182, 127)(82, 128, 132, 84, 131, 129)(85, 133, 151, 124, 177, 134)(86, 135, 103, 125, 136, 87)(88, 137, 107, 104, 156, 138)(109, 157, 206, 161, 167, 158)(110, 159, 163, 112, 162, 160)(113, 164, 180, 140, 195, 165)(141, 196, 176, 193, 178, 174)(142, 197, 147, 194, 198, 143)(144, 189, 149, 148, 187, 186)(152, 185, 201, 154, 184, 200)(155, 202, 207, 166, 210, 203)(168, 205, 171, 199, 192, 169)(170, 211, 173, 172, 212, 175)(181, 209, 214, 183, 208, 213)(188, 215, 191, 190, 216, 204)(217, 218, 220)(219, 224, 226)(221, 229, 230)(222, 232, 234)(223, 235, 236)(225, 240, 242)(227, 245, 247)(228, 248, 238)(231, 253, 254)(233, 256, 258)(237, 264, 265)(239, 267, 268)(241, 257, 272)(243, 273, 275)(244, 276, 270)(246, 279, 269)(249, 284, 285)(250, 274, 286)(251, 287, 288)(252, 289, 290)(255, 291, 292)(259, 295, 297)(260, 298, 293)(261, 296, 300)(262, 301, 302)(263, 303, 304)(266, 305, 306)(271, 310, 311)(277, 317, 318)(278, 319, 320)(280, 323, 325)(281, 326, 321)(282, 324, 328)(283, 329, 330)(294, 340, 341)(299, 338, 346)(307, 322, 356)(308, 357, 358)(309, 359, 360)(312, 363, 364)(313, 365, 367)(314, 368, 331)(315, 366, 370)(316, 371, 333)(327, 354, 377)(332, 382, 361)(334, 383, 384)(335, 385, 386)(336, 387, 388)(337, 389, 390)(339, 391, 392)(342, 394, 396)(343, 397, 347)(344, 395, 399)(345, 400, 349)(348, 401, 393)(350, 369, 402)(351, 403, 404)(352, 405, 406)(353, 407, 408)(355, 409, 410)(362, 373, 415)(372, 420, 421)(374, 423, 378)(375, 422, 419)(376, 424, 380)(379, 425, 411)(381, 398, 412)(413, 427, 431)(414, 428, 432)(416, 429, 418)(417, 430, 426)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6^3 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2281
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 216 f = 72
	degree seq :: [ 3^72, 6^36 ]

E19.2281 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 6})
Quotient :: loop
Aut^+ = (C3 x C3 x Q8) : C3 (small group id <216, 42>)
Aut   = $<432, 258>$ (small group id <432, 258>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^6, T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219, 5, 221)(2, 218, 6, 222, 7, 223)(4, 220, 10, 226, 11, 227)(8, 224, 18, 234, 19, 235)(9, 225, 20, 236, 21, 237)(12, 228, 26, 242, 27, 243)(13, 229, 28, 244, 29, 245)(14, 230, 30, 246, 31, 247)(15, 231, 32, 248, 33, 249)(16, 232, 34, 250, 35, 251)(17, 233, 36, 252, 37, 253)(22, 238, 46, 262, 47, 263)(23, 239, 48, 264, 49, 265)(24, 240, 50, 266, 51, 267)(25, 241, 52, 268, 53, 269)(38, 254, 78, 294, 77, 293)(39, 255, 79, 295, 80, 296)(40, 256, 81, 297, 82, 298)(41, 257, 83, 299, 84, 300)(42, 258, 85, 301, 86, 302)(43, 259, 87, 303, 88, 304)(44, 260, 89, 305, 90, 306)(45, 261, 91, 307, 63, 279)(54, 270, 103, 319, 105, 321)(55, 271, 106, 322, 107, 323)(56, 272, 108, 324, 109, 325)(57, 273, 110, 326, 64, 280)(58, 274, 111, 327, 112, 328)(59, 275, 113, 329, 66, 282)(60, 276, 114, 330, 70, 286)(61, 277, 92, 308, 115, 331)(62, 278, 116, 332, 104, 320)(65, 281, 117, 333, 118, 334)(67, 283, 119, 335, 120, 336)(68, 284, 121, 337, 122, 338)(69, 285, 123, 339, 93, 309)(71, 287, 124, 340, 125, 341)(72, 288, 126, 342, 127, 343)(73, 289, 128, 344, 94, 310)(74, 290, 129, 345, 130, 346)(75, 291, 131, 347, 96, 312)(76, 292, 132, 348, 99, 315)(95, 311, 149, 365, 150, 366)(97, 313, 151, 367, 152, 368)(98, 314, 153, 369, 154, 370)(100, 316, 155, 371, 156, 372)(101, 317, 157, 373, 158, 374)(102, 318, 134, 350, 159, 375)(133, 349, 191, 407, 174, 390)(135, 351, 173, 389, 172, 388)(136, 352, 192, 408, 140, 356)(137, 353, 193, 409, 194, 410)(138, 354, 184, 400, 142, 358)(139, 355, 182, 398, 145, 361)(141, 357, 186, 402, 183, 399)(143, 359, 179, 395, 181, 397)(144, 360, 178, 394, 195, 411)(146, 362, 180, 396, 196, 412)(147, 363, 197, 413, 198, 414)(148, 364, 161, 377, 199, 415)(160, 376, 210, 426, 204, 420)(162, 378, 203, 419, 190, 406)(163, 379, 189, 405, 166, 382)(164, 380, 202, 418, 201, 417)(165, 381, 211, 427, 168, 384)(167, 383, 212, 428, 171, 387)(169, 385, 209, 425, 208, 424)(170, 386, 207, 423, 176, 392)(175, 391, 205, 421, 213, 429)(177, 393, 206, 422, 214, 430)(185, 401, 215, 431, 188, 404)(187, 403, 216, 432, 200, 416)
	L = (1, 218)(2, 220)(3, 224)(4, 217)(5, 228)(6, 230)(7, 232)(8, 225)(9, 219)(10, 238)(11, 240)(12, 229)(13, 221)(14, 231)(15, 222)(16, 233)(17, 223)(18, 254)(19, 256)(20, 258)(21, 260)(22, 239)(23, 226)(24, 241)(25, 227)(26, 270)(27, 272)(28, 274)(29, 276)(30, 278)(31, 280)(32, 282)(33, 284)(34, 286)(35, 288)(36, 290)(37, 292)(38, 255)(39, 234)(40, 257)(41, 235)(42, 259)(43, 236)(44, 261)(45, 237)(46, 308)(47, 310)(48, 312)(49, 314)(50, 315)(51, 317)(52, 318)(53, 319)(54, 271)(55, 242)(56, 273)(57, 243)(58, 275)(59, 244)(60, 277)(61, 245)(62, 279)(63, 246)(64, 281)(65, 247)(66, 283)(67, 248)(68, 285)(69, 249)(70, 287)(71, 250)(72, 289)(73, 251)(74, 291)(75, 252)(76, 293)(77, 253)(78, 332)(79, 265)(80, 349)(81, 267)(82, 351)(83, 353)(84, 355)(85, 268)(86, 356)(87, 358)(88, 360)(89, 361)(90, 363)(91, 364)(92, 309)(93, 262)(94, 311)(95, 263)(96, 313)(97, 264)(98, 295)(99, 316)(100, 266)(101, 297)(102, 301)(103, 320)(104, 269)(105, 300)(106, 304)(107, 376)(108, 306)(109, 378)(110, 380)(111, 307)(112, 382)(113, 384)(114, 334)(115, 294)(116, 331)(117, 387)(118, 386)(119, 389)(120, 391)(121, 392)(122, 394)(123, 395)(124, 336)(125, 396)(126, 338)(127, 398)(128, 400)(129, 339)(130, 402)(131, 404)(132, 366)(133, 350)(134, 296)(135, 352)(136, 298)(137, 354)(138, 299)(139, 321)(140, 357)(141, 302)(142, 359)(143, 303)(144, 322)(145, 362)(146, 305)(147, 324)(148, 327)(149, 416)(150, 406)(151, 418)(152, 414)(153, 419)(154, 421)(155, 368)(156, 422)(157, 370)(158, 423)(159, 425)(160, 377)(161, 323)(162, 379)(163, 325)(164, 381)(165, 326)(166, 383)(167, 328)(168, 385)(169, 329)(170, 330)(171, 388)(172, 333)(173, 390)(174, 335)(175, 340)(176, 393)(177, 337)(178, 342)(179, 345)(180, 397)(181, 341)(182, 399)(183, 343)(184, 401)(185, 344)(186, 403)(187, 346)(188, 405)(189, 347)(190, 348)(191, 372)(192, 427)(193, 375)(194, 428)(195, 429)(196, 430)(197, 411)(198, 371)(199, 367)(200, 417)(201, 365)(202, 415)(203, 420)(204, 369)(205, 373)(206, 407)(207, 424)(208, 374)(209, 409)(210, 412)(211, 431)(212, 432)(213, 413)(214, 426)(215, 408)(216, 410)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2280
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 72 e = 216 f = 108
	degree seq :: [ 6^72 ]

E19.2282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = (C3 x C3 x Q8) : C3 (small group id <216, 42>)
Aut   = $<432, 258>$ (small group id <432, 258>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^3, (Y3^-1 * Y1^-1)^3, Y2^6, Y2^-3 * Y1 * Y2^-3 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 10, 226)(5, 221, 13, 229, 14, 230)(6, 222, 16, 232, 18, 234)(7, 223, 19, 235, 20, 236)(9, 225, 24, 240, 26, 242)(11, 227, 29, 245, 31, 247)(12, 228, 32, 248, 22, 238)(15, 231, 37, 253, 38, 254)(17, 233, 40, 256, 42, 258)(21, 237, 48, 264, 49, 265)(23, 239, 51, 267, 52, 268)(25, 241, 41, 257, 56, 272)(27, 243, 57, 273, 59, 275)(28, 244, 60, 276, 54, 270)(30, 246, 63, 279, 53, 269)(33, 249, 68, 284, 69, 285)(34, 250, 58, 274, 70, 286)(35, 251, 71, 287, 72, 288)(36, 252, 73, 289, 74, 290)(39, 255, 75, 291, 76, 292)(43, 259, 79, 295, 81, 297)(44, 260, 82, 298, 77, 293)(45, 261, 80, 296, 84, 300)(46, 262, 85, 301, 86, 302)(47, 263, 87, 303, 88, 304)(50, 266, 89, 305, 90, 306)(55, 271, 94, 310, 95, 311)(61, 277, 101, 317, 102, 318)(62, 278, 103, 319, 104, 320)(64, 280, 107, 323, 109, 325)(65, 281, 110, 326, 105, 321)(66, 282, 108, 324, 112, 328)(67, 283, 113, 329, 114, 330)(78, 294, 124, 340, 125, 341)(83, 299, 122, 338, 130, 346)(91, 307, 106, 322, 140, 356)(92, 308, 141, 357, 142, 358)(93, 309, 143, 359, 144, 360)(96, 312, 147, 363, 148, 364)(97, 313, 149, 365, 151, 367)(98, 314, 152, 368, 115, 331)(99, 315, 150, 366, 154, 370)(100, 316, 155, 371, 117, 333)(111, 327, 138, 354, 161, 377)(116, 332, 166, 382, 145, 361)(118, 334, 167, 383, 168, 384)(119, 335, 169, 385, 170, 386)(120, 336, 171, 387, 172, 388)(121, 337, 173, 389, 174, 390)(123, 339, 175, 391, 176, 392)(126, 342, 178, 394, 180, 396)(127, 343, 181, 397, 131, 347)(128, 344, 179, 395, 183, 399)(129, 345, 184, 400, 133, 349)(132, 348, 185, 401, 177, 393)(134, 350, 153, 369, 186, 402)(135, 351, 187, 403, 188, 404)(136, 352, 189, 405, 190, 406)(137, 353, 191, 407, 192, 408)(139, 355, 193, 409, 194, 410)(146, 362, 157, 373, 199, 415)(156, 372, 204, 420, 205, 421)(158, 374, 207, 423, 162, 378)(159, 375, 206, 422, 203, 419)(160, 376, 208, 424, 164, 380)(163, 379, 209, 425, 195, 411)(165, 381, 182, 398, 196, 412)(197, 413, 211, 427, 215, 431)(198, 414, 212, 428, 216, 432)(200, 416, 213, 429, 202, 418)(201, 417, 214, 430, 210, 426)(433, 649, 435, 651, 441, 657, 457, 673, 447, 663, 437, 653)(434, 650, 438, 654, 449, 665, 473, 689, 453, 669, 439, 655)(436, 652, 443, 659, 462, 678, 488, 704, 465, 681, 444, 660)(440, 656, 454, 670, 482, 698, 469, 685, 485, 701, 455, 671)(442, 658, 459, 675, 490, 706, 470, 686, 493, 709, 460, 676)(445, 661, 466, 682, 487, 703, 456, 672, 486, 702, 467, 683)(446, 662, 468, 684, 480, 696, 458, 674, 471, 687, 448, 664)(450, 666, 475, 691, 512, 728, 481, 697, 515, 731, 476, 692)(451, 667, 477, 693, 510, 726, 472, 688, 509, 725, 478, 694)(452, 668, 479, 695, 500, 716, 474, 690, 494, 710, 461, 677)(463, 679, 496, 712, 540, 756, 501, 717, 543, 759, 497, 713)(464, 680, 498, 714, 538, 754, 495, 711, 537, 753, 499, 715)(483, 699, 523, 739, 571, 787, 521, 737, 546, 762, 524, 740)(484, 700, 525, 741, 533, 749, 522, 738, 528, 744, 489, 705)(491, 707, 529, 745, 582, 798, 534, 750, 585, 801, 530, 746)(492, 708, 531, 747, 548, 764, 502, 718, 547, 763, 532, 748)(503, 719, 549, 765, 578, 794, 526, 742, 577, 793, 550, 766)(504, 720, 551, 767, 507, 723, 527, 743, 552, 768, 505, 721)(506, 722, 553, 769, 511, 727, 508, 724, 555, 771, 554, 770)(513, 729, 558, 774, 611, 827, 562, 778, 614, 830, 559, 775)(514, 730, 560, 776, 564, 780, 516, 732, 563, 779, 561, 777)(517, 733, 565, 781, 583, 799, 556, 772, 609, 825, 566, 782)(518, 734, 567, 783, 535, 751, 557, 773, 568, 784, 519, 735)(520, 736, 569, 785, 539, 755, 536, 752, 588, 804, 570, 786)(541, 757, 589, 805, 638, 854, 593, 809, 599, 815, 590, 806)(542, 758, 591, 807, 595, 811, 544, 760, 594, 810, 592, 808)(545, 761, 596, 812, 612, 828, 572, 788, 627, 843, 597, 813)(573, 789, 628, 844, 608, 824, 625, 841, 610, 826, 606, 822)(574, 790, 629, 845, 579, 795, 626, 842, 630, 846, 575, 791)(576, 792, 621, 837, 581, 797, 580, 796, 619, 835, 618, 834)(584, 800, 617, 833, 633, 849, 586, 802, 616, 832, 632, 848)(587, 803, 634, 850, 639, 855, 598, 814, 642, 858, 635, 851)(600, 816, 637, 853, 603, 819, 631, 847, 624, 840, 601, 817)(602, 818, 643, 859, 605, 821, 604, 820, 644, 860, 607, 823)(613, 829, 641, 857, 646, 862, 615, 831, 640, 856, 645, 861)(620, 836, 647, 863, 623, 839, 622, 838, 648, 864, 636, 852)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 449)(7, 434)(8, 454)(9, 457)(10, 459)(11, 462)(12, 436)(13, 466)(14, 468)(15, 437)(16, 446)(17, 473)(18, 475)(19, 477)(20, 479)(21, 439)(22, 482)(23, 440)(24, 486)(25, 447)(26, 471)(27, 490)(28, 442)(29, 452)(30, 488)(31, 496)(32, 498)(33, 444)(34, 487)(35, 445)(36, 480)(37, 485)(38, 493)(39, 448)(40, 509)(41, 453)(42, 494)(43, 512)(44, 450)(45, 510)(46, 451)(47, 500)(48, 458)(49, 515)(50, 469)(51, 523)(52, 525)(53, 455)(54, 467)(55, 456)(56, 465)(57, 484)(58, 470)(59, 529)(60, 531)(61, 460)(62, 461)(63, 537)(64, 540)(65, 463)(66, 538)(67, 464)(68, 474)(69, 543)(70, 547)(71, 549)(72, 551)(73, 504)(74, 553)(75, 527)(76, 555)(77, 478)(78, 472)(79, 508)(80, 481)(81, 558)(82, 560)(83, 476)(84, 563)(85, 565)(86, 567)(87, 518)(88, 569)(89, 546)(90, 528)(91, 571)(92, 483)(93, 533)(94, 577)(95, 552)(96, 489)(97, 582)(98, 491)(99, 548)(100, 492)(101, 522)(102, 585)(103, 557)(104, 588)(105, 499)(106, 495)(107, 536)(108, 501)(109, 589)(110, 591)(111, 497)(112, 594)(113, 596)(114, 524)(115, 532)(116, 502)(117, 578)(118, 503)(119, 507)(120, 505)(121, 511)(122, 506)(123, 554)(124, 609)(125, 568)(126, 611)(127, 513)(128, 564)(129, 514)(130, 614)(131, 561)(132, 516)(133, 583)(134, 517)(135, 535)(136, 519)(137, 539)(138, 520)(139, 521)(140, 627)(141, 628)(142, 629)(143, 574)(144, 621)(145, 550)(146, 526)(147, 626)(148, 619)(149, 580)(150, 534)(151, 556)(152, 617)(153, 530)(154, 616)(155, 634)(156, 570)(157, 638)(158, 541)(159, 595)(160, 542)(161, 599)(162, 592)(163, 544)(164, 612)(165, 545)(166, 642)(167, 590)(168, 637)(169, 600)(170, 643)(171, 631)(172, 644)(173, 604)(174, 573)(175, 602)(176, 625)(177, 566)(178, 606)(179, 562)(180, 572)(181, 641)(182, 559)(183, 640)(184, 632)(185, 633)(186, 576)(187, 618)(188, 647)(189, 581)(190, 648)(191, 622)(192, 601)(193, 610)(194, 630)(195, 597)(196, 608)(197, 579)(198, 575)(199, 624)(200, 584)(201, 586)(202, 639)(203, 587)(204, 620)(205, 603)(206, 593)(207, 598)(208, 645)(209, 646)(210, 635)(211, 605)(212, 607)(213, 613)(214, 615)(215, 623)(216, 636)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2283
Graph:: bipartite
	v = 108 e = 432 f = 288
	degree seq :: [ 6^72, 12^36 ]

E19.2283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = (C3 x C3 x Q8) : C3 (small group id <216, 42>)
Aut   = $<432, 258>$ (small group id <432, 258>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2^-1)^3, Y3 * Y2 * Y3^3 * Y2^-1 * Y3^2, (Y3^-1 * Y1^-1)^6, Y3 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650, 436, 652)(435, 651, 440, 656, 442, 658)(437, 653, 445, 661, 446, 662)(438, 654, 448, 664, 450, 666)(439, 655, 451, 667, 452, 668)(441, 657, 456, 672, 458, 674)(443, 659, 460, 676, 462, 678)(444, 660, 463, 679, 464, 680)(447, 663, 469, 685, 470, 686)(449, 665, 473, 689, 475, 691)(453, 669, 480, 696, 481, 697)(454, 670, 482, 698, 484, 700)(455, 671, 485, 701, 486, 702)(457, 673, 474, 690, 490, 706)(459, 675, 492, 708, 493, 709)(461, 677, 496, 712, 497, 713)(465, 681, 501, 717, 489, 705)(466, 682, 502, 718, 503, 719)(467, 683, 504, 720, 483, 699)(468, 684, 505, 721, 506, 722)(471, 687, 507, 723, 509, 725)(472, 688, 510, 726, 511, 727)(476, 692, 514, 730, 515, 731)(477, 693, 516, 732, 517, 733)(478, 694, 518, 734, 508, 724)(479, 695, 519, 735, 520, 736)(487, 703, 526, 742, 527, 743)(488, 704, 528, 744, 529, 745)(491, 707, 530, 746, 531, 747)(494, 710, 535, 751, 537, 753)(495, 711, 538, 754, 539, 755)(498, 714, 542, 758, 543, 759)(499, 715, 544, 760, 536, 752)(500, 716, 545, 761, 546, 762)(512, 728, 560, 776, 561, 777)(513, 729, 533, 749, 562, 778)(521, 737, 571, 787, 573, 789)(522, 738, 550, 766, 574, 790)(523, 739, 576, 792, 577, 793)(524, 740, 578, 794, 572, 788)(525, 741, 553, 769, 579, 795)(532, 748, 583, 799, 584, 800)(534, 750, 585, 801, 586, 802)(540, 756, 591, 807, 548, 764)(541, 757, 564, 780, 592, 808)(547, 763, 598, 814, 599, 815)(549, 765, 600, 816, 601, 817)(551, 767, 581, 797, 602, 818)(552, 768, 603, 819, 604, 820)(554, 770, 605, 821, 606, 822)(555, 771, 582, 798, 608, 824)(556, 772, 567, 783, 609, 825)(557, 773, 610, 826, 611, 827)(558, 774, 612, 828, 607, 823)(559, 775, 569, 785, 613, 829)(563, 779, 616, 832, 617, 833)(565, 781, 618, 834, 619, 835)(566, 782, 620, 836, 621, 837)(568, 784, 614, 830, 622, 838)(570, 786, 623, 839, 624, 840)(575, 791, 597, 813, 628, 844)(580, 796, 633, 849, 634, 850)(587, 803, 615, 831, 637, 853)(588, 804, 594, 810, 638, 854)(589, 805, 639, 855, 636, 852)(590, 806, 596, 812, 630, 846)(593, 809, 641, 857, 625, 841)(595, 811, 640, 856, 626, 842)(627, 843, 632, 848, 646, 862)(629, 845, 645, 861, 642, 858)(631, 847, 644, 860, 648, 864)(635, 851, 647, 863, 643, 859)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 449)(7, 434)(8, 454)(9, 457)(10, 451)(11, 461)(12, 436)(13, 466)(14, 467)(15, 437)(16, 471)(17, 474)(18, 463)(19, 477)(20, 478)(21, 439)(22, 483)(23, 440)(24, 488)(25, 447)(26, 485)(27, 442)(28, 494)(29, 490)(30, 445)(31, 498)(32, 499)(33, 444)(34, 489)(35, 491)(36, 446)(37, 487)(38, 473)(39, 508)(40, 448)(41, 459)(42, 453)(43, 510)(44, 450)(45, 470)(46, 513)(47, 452)(48, 512)(49, 496)(50, 521)(51, 469)(52, 492)(53, 468)(54, 524)(55, 455)(56, 462)(57, 456)(58, 465)(59, 458)(60, 532)(61, 533)(62, 536)(63, 460)(64, 476)(65, 538)(66, 481)(67, 541)(68, 464)(69, 540)(70, 547)(71, 505)(72, 550)(73, 552)(74, 553)(75, 555)(76, 480)(77, 514)(78, 479)(79, 558)(80, 472)(81, 475)(82, 563)(83, 564)(84, 523)(85, 519)(86, 567)(87, 534)(88, 569)(89, 572)(90, 482)(91, 484)(92, 551)(93, 486)(94, 575)(95, 516)(96, 580)(97, 530)(98, 549)(99, 581)(100, 527)(101, 566)(102, 493)(103, 587)(104, 501)(105, 528)(106, 500)(107, 589)(108, 495)(109, 497)(110, 557)(111, 545)(112, 594)(113, 565)(114, 596)(115, 537)(116, 502)(117, 503)(118, 525)(119, 504)(120, 529)(121, 582)(122, 506)(123, 607)(124, 507)(125, 509)(126, 568)(127, 511)(128, 606)(129, 542)(130, 614)(131, 561)(132, 593)(133, 515)(134, 517)(135, 559)(136, 518)(137, 615)(138, 520)(139, 592)(140, 526)(141, 576)(142, 626)(143, 522)(144, 619)(145, 620)(146, 630)(147, 632)(148, 548)(149, 554)(150, 531)(151, 625)(152, 585)(153, 629)(154, 623)(155, 636)(156, 535)(157, 595)(158, 539)(159, 624)(160, 640)(161, 543)(162, 590)(163, 544)(164, 571)(165, 546)(166, 586)(167, 600)(168, 643)(169, 608)(170, 644)(171, 642)(172, 605)(173, 616)(174, 556)(175, 560)(176, 610)(177, 602)(178, 604)(179, 641)(180, 579)(181, 646)(182, 570)(183, 562)(184, 601)(185, 618)(186, 645)(187, 628)(188, 635)(189, 637)(190, 648)(191, 633)(192, 588)(193, 573)(194, 631)(195, 574)(196, 583)(197, 577)(198, 627)(199, 578)(200, 609)(201, 621)(202, 603)(203, 584)(204, 591)(205, 598)(206, 622)(207, 613)(208, 597)(209, 647)(210, 599)(211, 634)(212, 612)(213, 611)(214, 638)(215, 617)(216, 639)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2282
Graph:: simple bipartite
	v = 288 e = 432 f = 108
	degree seq :: [ 2^216, 6^72 ]

E19.2284 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
|r| :: 1
Presentation :: [ X1^3, (X1 * X2)^3, X2^6, (X1 * X2^-1)^4, X2 * X1^-1 * X2^-1 * X1 * X2^2 * X1 * X2^-2 * X1^-1, X2^-1 * X1^-1 * X2 * X1^-1 * X2^2 * X1^-1 * X2^3 * X1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 29, 31)(12, 32, 22)(15, 37, 38)(17, 40, 42)(21, 48, 49)(23, 51, 52)(25, 56, 57)(27, 60, 46)(28, 62, 54)(30, 65, 67)(33, 72, 73)(34, 74, 76)(35, 68, 77)(36, 79, 81)(39, 85, 86)(41, 90, 91)(43, 94, 71)(44, 96, 88)(45, 98, 100)(47, 102, 104)(50, 108, 110)(53, 113, 114)(55, 116, 117)(58, 123, 111)(59, 125, 119)(61, 127, 129)(63, 131, 132)(64, 118, 133)(66, 137, 138)(69, 126, 135)(70, 143, 130)(75, 99, 144)(78, 152, 153)(80, 154, 155)(82, 122, 158)(83, 156, 159)(84, 107, 148)(87, 164, 165)(89, 167, 168)(92, 173, 162)(93, 175, 169)(95, 157, 176)(97, 177, 178)(101, 181, 182)(103, 183, 184)(105, 172, 186)(106, 120, 187)(109, 190, 191)(112, 193, 160)(115, 195, 197)(121, 188, 163)(124, 199, 200)(128, 141, 185)(134, 202, 189)(136, 194, 204)(139, 207, 196)(140, 198, 205)(142, 208, 192)(145, 209, 210)(146, 206, 211)(147, 170, 161)(149, 213, 166)(150, 174, 214)(151, 215, 180)(171, 212, 201)(179, 216, 203)(217, 219, 225, 241, 231, 221)(218, 222, 233, 257, 237, 223)(220, 227, 246, 282, 249, 228)(224, 238, 266, 325, 269, 239)(226, 243, 277, 344, 279, 244)(229, 250, 291, 366, 294, 251)(230, 252, 296, 303, 255, 232)(234, 259, 311, 345, 313, 260)(235, 261, 315, 396, 317, 262)(236, 263, 319, 350, 280, 245)(240, 270, 331, 412, 334, 271)(242, 274, 340, 316, 342, 275)(247, 284, 357, 392, 358, 285)(248, 286, 360, 416, 361, 287)(253, 298, 373, 426, 376, 299)(254, 300, 377, 418, 365, 290)(256, 304, 382, 327, 267, 305)(258, 308, 390, 346, 278, 309)(264, 321, 401, 369, 404, 322)(265, 323, 375, 329, 395, 314)(268, 328, 410, 381, 318, 276)(272, 335, 414, 394, 320, 336)(273, 337, 389, 384, 397, 338)(281, 351, 419, 378, 301, 352)(283, 355, 367, 292, 312, 356)(288, 362, 343, 398, 428, 363)(289, 364, 403, 380, 411, 359)(293, 349, 417, 383, 330, 295)(297, 372, 353, 421, 391, 348)(302, 379, 332, 405, 324, 310)(306, 385, 341, 408, 326, 386)(307, 387, 423, 420, 425, 388)(333, 368, 422, 354, 409, 339)(347, 402, 415, 429, 400, 370)(371, 406, 424, 374, 431, 413)(393, 427, 430, 432, 407, 399)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6^3 ), ( 6^6 ) }
Outer automorphisms :: chiral
Dual of E19.2285
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 216 f = 72
	degree seq :: [ 3^72, 6^36 ]

E19.2285 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
|r| :: 1
Presentation :: [ X1^3, X2^3, (X2 * X1^-1)^4, X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1, X1^-1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2^-1, (X2^-1 * X1^-1)^6, X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^-1 * X1^-1, X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 9, 225)(5, 221, 12, 228, 13, 229)(6, 222, 14, 230, 15, 231)(7, 223, 16, 232, 17, 233)(10, 226, 22, 238, 23, 239)(11, 227, 24, 240, 25, 241)(18, 234, 38, 254, 39, 255)(19, 235, 40, 256, 41, 257)(20, 236, 42, 258, 35, 251)(21, 237, 43, 259, 44, 260)(26, 242, 53, 269, 54, 270)(27, 243, 47, 263, 55, 271)(28, 244, 56, 272, 57, 273)(29, 245, 58, 274, 59, 275)(30, 246, 60, 276, 61, 277)(31, 247, 62, 278, 63, 279)(32, 248, 64, 280, 50, 266)(33, 249, 65, 281, 66, 282)(34, 250, 67, 283, 68, 284)(36, 252, 69, 285, 70, 286)(37, 253, 71, 287, 72, 288)(45, 261, 86, 302, 87, 303)(46, 262, 88, 304, 89, 305)(48, 264, 90, 306, 91, 307)(49, 265, 92, 308, 93, 309)(51, 267, 94, 310, 95, 311)(52, 268, 96, 312, 97, 313)(73, 289, 133, 349, 134, 350)(74, 290, 135, 351, 115, 331)(75, 291, 136, 352, 83, 299)(76, 292, 137, 353, 121, 337)(77, 293, 138, 354, 139, 355)(78, 294, 140, 356, 141, 357)(79, 295, 142, 358, 143, 359)(80, 296, 144, 360, 145, 361)(81, 297, 146, 362, 147, 363)(82, 298, 148, 364, 149, 365)(84, 300, 150, 366, 151, 367)(85, 301, 152, 368, 153, 369)(98, 314, 170, 386, 171, 387)(99, 315, 172, 388, 116, 332)(100, 316, 173, 389, 107, 323)(101, 317, 174, 390, 122, 338)(102, 318, 175, 391, 176, 392)(103, 319, 177, 393, 178, 394)(104, 320, 127, 343, 165, 381)(105, 321, 179, 395, 180, 396)(106, 322, 129, 345, 167, 383)(108, 324, 181, 397, 182, 398)(109, 325, 183, 399, 110, 326)(111, 327, 184, 400, 157, 373)(112, 328, 185, 401, 120, 336)(113, 329, 186, 402, 161, 377)(114, 330, 187, 403, 188, 404)(117, 333, 189, 405, 190, 406)(118, 334, 191, 407, 192, 408)(119, 335, 193, 409, 194, 410)(123, 339, 195, 411, 196, 412)(124, 340, 197, 413, 158, 374)(125, 341, 198, 414, 130, 346)(126, 342, 199, 415, 162, 378)(128, 344, 200, 416, 201, 417)(131, 347, 202, 418, 203, 419)(132, 348, 204, 420, 154, 370)(155, 371, 213, 429, 160, 376)(156, 372, 206, 422, 214, 430)(159, 375, 207, 423, 205, 421)(163, 379, 209, 425, 215, 431)(164, 380, 212, 428, 168, 384)(166, 382, 211, 427, 208, 424)(169, 385, 216, 432, 210, 426)
	L = (1, 219)(2, 222)(3, 221)(4, 226)(5, 217)(6, 223)(7, 218)(8, 234)(9, 236)(10, 227)(11, 220)(12, 242)(13, 244)(14, 246)(15, 248)(16, 250)(17, 252)(18, 235)(19, 224)(20, 237)(21, 225)(22, 261)(23, 263)(24, 265)(25, 267)(26, 243)(27, 228)(28, 245)(29, 229)(30, 247)(31, 230)(32, 249)(33, 231)(34, 251)(35, 232)(36, 253)(37, 233)(38, 289)(39, 291)(40, 293)(41, 294)(42, 296)(43, 298)(44, 300)(45, 262)(46, 238)(47, 264)(48, 239)(49, 266)(50, 240)(51, 268)(52, 241)(53, 314)(54, 316)(55, 318)(56, 320)(57, 256)(58, 322)(59, 324)(60, 326)(61, 328)(62, 330)(63, 331)(64, 333)(65, 335)(66, 337)(67, 339)(68, 341)(69, 343)(70, 278)(71, 345)(72, 347)(73, 290)(74, 254)(75, 292)(76, 255)(77, 273)(78, 295)(79, 257)(80, 297)(81, 258)(82, 299)(83, 259)(84, 301)(85, 260)(86, 370)(87, 371)(88, 372)(89, 373)(90, 375)(91, 377)(92, 379)(93, 380)(94, 381)(95, 304)(96, 383)(97, 385)(98, 315)(99, 269)(100, 317)(101, 270)(102, 319)(103, 271)(104, 321)(105, 272)(106, 323)(107, 274)(108, 325)(109, 275)(110, 327)(111, 276)(112, 329)(113, 277)(114, 286)(115, 332)(116, 279)(117, 334)(118, 280)(119, 336)(120, 281)(121, 338)(122, 282)(123, 340)(124, 283)(125, 342)(126, 284)(127, 344)(128, 285)(129, 346)(130, 287)(131, 348)(132, 288)(133, 313)(134, 421)(135, 400)(136, 417)(137, 407)(138, 401)(139, 425)(140, 302)(141, 351)(142, 308)(143, 418)(144, 405)(145, 413)(146, 409)(147, 426)(148, 402)(149, 428)(150, 303)(151, 362)(152, 309)(153, 404)(154, 356)(155, 366)(156, 311)(157, 374)(158, 305)(159, 376)(160, 306)(161, 378)(162, 307)(163, 358)(164, 368)(165, 382)(166, 310)(167, 384)(168, 312)(169, 349)(170, 369)(171, 412)(172, 432)(173, 420)(174, 430)(175, 360)(176, 388)(177, 364)(178, 419)(179, 408)(180, 403)(181, 361)(182, 395)(183, 365)(184, 357)(185, 424)(186, 393)(187, 429)(188, 386)(189, 391)(190, 359)(191, 423)(192, 398)(193, 367)(194, 389)(195, 390)(196, 431)(197, 397)(198, 350)(199, 355)(200, 394)(201, 422)(202, 406)(203, 416)(204, 410)(205, 414)(206, 352)(207, 353)(208, 354)(209, 415)(210, 427)(211, 363)(212, 399)(213, 396)(214, 411)(215, 387)(216, 392)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Dual of E19.2284
Transitivity :: ET+ VT+
Graph:: simple
	v = 72 e = 216 f = 108
	degree seq :: [ 6^72 ]

E19.2286 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^6, (T2^-1, T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 5)(2, 6, 7)(4, 10, 11)(8, 18, 19)(9, 20, 21)(12, 26, 27)(13, 28, 29)(14, 30, 31)(15, 32, 33)(16, 34, 35)(17, 36, 37)(22, 45, 46)(23, 47, 48)(24, 49, 50)(25, 51, 52)(38, 73, 74)(39, 75, 76)(40, 77, 57)(41, 78, 79)(42, 80, 81)(43, 82, 83)(44, 84, 85)(53, 98, 99)(54, 100, 101)(55, 102, 103)(56, 104, 105)(58, 106, 107)(59, 108, 109)(60, 110, 111)(61, 112, 113)(62, 114, 70)(63, 115, 116)(64, 117, 118)(65, 119, 120)(66, 121, 122)(67, 123, 124)(68, 125, 126)(69, 127, 128)(71, 129, 130)(72, 131, 132)(86, 150, 151)(87, 136, 152)(88, 138, 95)(89, 153, 154)(90, 140, 135)(91, 148, 145)(92, 144, 155)(93, 156, 157)(94, 141, 158)(96, 159, 160)(97, 161, 133)(134, 175, 176)(137, 177, 178)(139, 179, 180)(142, 181, 182)(143, 183, 184)(146, 185, 186)(147, 187, 188)(149, 189, 190)(162, 191, 192)(163, 193, 194)(164, 195, 196)(165, 197, 198)(166, 199, 200)(167, 201, 202)(168, 203, 204)(169, 205, 206)(170, 207, 208)(171, 209, 210)(172, 211, 212)(173, 213, 214)(174, 215, 216)(217, 218, 220)(219, 224, 225)(221, 228, 229)(222, 230, 231)(223, 232, 233)(226, 238, 239)(227, 240, 241)(234, 254, 255)(235, 256, 257)(236, 258, 251)(237, 259, 260)(242, 269, 270)(243, 263, 271)(244, 272, 273)(245, 274, 275)(246, 276, 277)(247, 278, 279)(248, 280, 266)(249, 281, 282)(250, 283, 284)(252, 285, 286)(253, 287, 288)(261, 302, 303)(262, 304, 305)(264, 306, 307)(265, 308, 309)(267, 310, 311)(268, 312, 313)(289, 349, 350)(290, 351, 352)(291, 327, 299)(292, 353, 345)(293, 330, 354)(294, 355, 356)(295, 357, 358)(296, 359, 360)(297, 361, 362)(298, 331, 363)(300, 337, 364)(301, 365, 334)(314, 333, 378)(315, 340, 371)(316, 377, 323)(317, 379, 374)(318, 380, 339)(319, 338, 381)(320, 382, 332)(321, 342, 383)(322, 368, 384)(324, 346, 341)(325, 385, 326)(328, 367, 336)(329, 386, 375)(335, 369, 387)(343, 388, 370)(344, 373, 389)(347, 376, 372)(348, 390, 366)(391, 400, 394)(392, 423, 405)(393, 401, 432)(395, 427, 402)(396, 404, 426)(397, 406, 403)(398, 430, 399)(407, 416, 410)(408, 424, 421)(409, 417, 429)(411, 428, 418)(412, 420, 431)(413, 422, 419)(414, 425, 415)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12^3 ) }
Outer automorphisms :: reflexible
Dual of E19.2291
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 216 f = 36
	degree seq :: [ 3^144 ]

E19.2287 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^3, T2^6, (T1^-1 * T2)^4, T2^-2 * T1 * T2^2 * T1^-1 * T2^2 * T1, T2 * T1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 41, 21, 7)(4, 11, 30, 66, 33, 12)(8, 22, 50, 106, 53, 23)(10, 27, 61, 121, 63, 28)(13, 34, 75, 139, 78, 35)(14, 36, 80, 87, 39, 16)(18, 43, 94, 158, 96, 44)(19, 45, 98, 162, 100, 46)(20, 47, 102, 128, 64, 29)(24, 54, 112, 97, 49, 55)(26, 58, 67, 92, 42, 59)(31, 68, 132, 189, 134, 69)(32, 70, 136, 190, 137, 71)(37, 82, 72, 104, 48, 83)(38, 84, 65, 129, 138, 74)(40, 88, 151, 135, 73, 89)(51, 108, 171, 187, 130, 109)(52, 110, 174, 164, 101, 60)(56, 115, 85, 148, 111, 116)(57, 117, 122, 170, 107, 118)(62, 123, 184, 203, 185, 124)(76, 95, 160, 204, 194, 140)(77, 127, 186, 161, 141, 79)(81, 142, 91, 156, 159, 143)(86, 149, 125, 168, 105, 93)(90, 154, 126, 172, 150, 155)(99, 133, 175, 191, 183, 163)(103, 165, 131, 188, 169, 166)(113, 167, 206, 210, 182, 176)(114, 177, 205, 207, 173, 119)(120, 153, 198, 213, 209, 181)(144, 193, 215, 202, 197, 152)(145, 195, 216, 212, 196, 146)(147, 178, 192, 214, 201, 157)(179, 208, 211, 200, 199, 180)(217, 218, 220)(219, 224, 226)(221, 229, 230)(222, 232, 234)(223, 235, 236)(225, 240, 242)(227, 245, 247)(228, 248, 238)(231, 253, 254)(233, 256, 258)(237, 264, 265)(239, 267, 268)(241, 272, 273)(243, 276, 262)(244, 278, 270)(246, 281, 283)(249, 288, 289)(250, 290, 292)(251, 284, 293)(252, 295, 297)(255, 301, 302)(257, 306, 307)(259, 309, 287)(260, 311, 304)(261, 313, 315)(263, 317, 319)(266, 321, 323)(269, 294, 327)(271, 329, 330)(274, 335, 325)(275, 336, 331)(277, 296, 338)(279, 291, 341)(280, 342, 343)(282, 346, 347)(285, 349, 345)(286, 351, 340)(298, 334, 360)(299, 358, 361)(300, 362, 363)(303, 316, 366)(305, 368, 369)(308, 373, 370)(310, 318, 375)(312, 314, 377)(320, 381, 383)(322, 385, 348)(324, 364, 388)(326, 389, 391)(328, 367, 354)(332, 394, 395)(333, 396, 392)(337, 398, 399)(339, 365, 397)(344, 353, 387)(350, 352, 390)(355, 407, 408)(356, 409, 384)(357, 379, 411)(359, 382, 386)(371, 393, 415)(372, 416, 413)(374, 418, 419)(376, 402, 417)(378, 400, 421)(380, 401, 422)(403, 414, 427)(404, 424, 412)(405, 428, 410)(406, 420, 429)(423, 425, 430)(426, 431, 432)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6^3 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2289
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 216 f = 72
	degree seq :: [ 3^72, 6^36 ]

E19.2288 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^3, T2^6, (T2 * T1^-1)^4, (T2^-1 * T1)^4, T2^-2 * T1 * T2^-3 * T1 * T2^-2 * T1^-1, T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 41, 21, 7)(4, 11, 30, 66, 33, 12)(8, 22, 50, 109, 53, 23)(10, 27, 61, 85, 63, 28)(13, 34, 75, 110, 78, 35)(14, 36, 80, 87, 39, 16)(18, 43, 95, 129, 97, 44)(19, 45, 99, 81, 101, 46)(20, 47, 103, 131, 64, 29)(24, 54, 90, 155, 117, 55)(26, 58, 122, 72, 124, 59)(31, 68, 112, 51, 111, 69)(32, 70, 139, 104, 140, 71)(37, 82, 93, 42, 92, 83)(38, 84, 115, 174, 134, 74)(40, 88, 133, 186, 154, 89)(48, 105, 136, 67, 135, 106)(49, 107, 152, 120, 57, 98)(52, 113, 170, 162, 102, 60)(56, 118, 167, 132, 65, 119)(62, 126, 181, 171, 182, 127)(73, 141, 185, 156, 91, 138)(76, 96, 159, 193, 191, 143)(77, 130, 183, 195, 145, 79)(86, 150, 200, 166, 108, 94)(100, 137, 188, 207, 206, 161)(114, 172, 179, 125, 153, 173)(116, 175, 184, 211, 169, 121)(123, 176, 164, 205, 214, 177)(128, 165, 208, 210, 168, 180)(142, 189, 151, 201, 204, 158)(144, 192, 197, 146, 196, 160)(147, 190, 212, 215, 187, 198)(148, 194, 209, 163, 199, 149)(157, 202, 178, 213, 216, 203)(217, 218, 220)(219, 224, 226)(221, 229, 230)(222, 232, 234)(223, 235, 236)(225, 240, 242)(227, 245, 247)(228, 248, 238)(231, 253, 254)(233, 256, 258)(237, 264, 265)(239, 267, 268)(241, 272, 273)(243, 276, 262)(244, 278, 270)(246, 281, 283)(249, 288, 289)(250, 290, 292)(251, 284, 293)(252, 295, 297)(255, 301, 302)(257, 306, 307)(259, 310, 287)(260, 312, 304)(261, 314, 316)(263, 318, 320)(266, 324, 326)(269, 330, 331)(271, 315, 332)(274, 337, 328)(275, 339, 334)(277, 308, 341)(279, 323, 344)(280, 345, 346)(282, 349, 350)(285, 353, 335)(286, 354, 343)(291, 358, 348)(294, 360, 338)(296, 333, 362)(298, 336, 363)(299, 317, 364)(300, 365, 327)(303, 367, 368)(305, 355, 369)(309, 373, 371)(311, 351, 374)(313, 357, 376)(319, 370, 379)(321, 372, 380)(322, 356, 381)(325, 383, 384)(329, 385, 387)(340, 390, 394)(342, 396, 393)(347, 400, 401)(352, 403, 402)(359, 406, 405)(361, 409, 410)(366, 395, 407)(375, 412, 419)(377, 421, 391)(378, 423, 424)(382, 397, 408)(386, 416, 411)(388, 426, 428)(389, 398, 429)(392, 418, 414)(399, 420, 422)(404, 415, 431)(413, 430, 417)(425, 432, 427)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6^3 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E19.2290
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 216 f = 72
	degree seq :: [ 3^72, 6^36 ]

E19.2289 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^6, (T2^-1, T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 3, 219, 5, 221)(2, 218, 6, 222, 7, 223)(4, 220, 10, 226, 11, 227)(8, 224, 18, 234, 19, 235)(9, 225, 20, 236, 21, 237)(12, 228, 26, 242, 27, 243)(13, 229, 28, 244, 29, 245)(14, 230, 30, 246, 31, 247)(15, 231, 32, 248, 33, 249)(16, 232, 34, 250, 35, 251)(17, 233, 36, 252, 37, 253)(22, 238, 45, 261, 46, 262)(23, 239, 47, 263, 48, 264)(24, 240, 49, 265, 50, 266)(25, 241, 51, 267, 52, 268)(38, 254, 73, 289, 74, 290)(39, 255, 75, 291, 76, 292)(40, 256, 77, 293, 57, 273)(41, 257, 78, 294, 79, 295)(42, 258, 80, 296, 81, 297)(43, 259, 82, 298, 83, 299)(44, 260, 84, 300, 85, 301)(53, 269, 98, 314, 99, 315)(54, 270, 100, 316, 101, 317)(55, 271, 102, 318, 103, 319)(56, 272, 104, 320, 105, 321)(58, 274, 106, 322, 107, 323)(59, 275, 108, 324, 109, 325)(60, 276, 110, 326, 111, 327)(61, 277, 112, 328, 113, 329)(62, 278, 114, 330, 70, 286)(63, 279, 115, 331, 116, 332)(64, 280, 117, 333, 118, 334)(65, 281, 119, 335, 120, 336)(66, 282, 121, 337, 122, 338)(67, 283, 123, 339, 124, 340)(68, 284, 125, 341, 126, 342)(69, 285, 127, 343, 128, 344)(71, 287, 129, 345, 130, 346)(72, 288, 131, 347, 132, 348)(86, 302, 150, 366, 151, 367)(87, 303, 136, 352, 152, 368)(88, 304, 138, 354, 95, 311)(89, 305, 153, 369, 154, 370)(90, 306, 140, 356, 135, 351)(91, 307, 148, 364, 145, 361)(92, 308, 144, 360, 155, 371)(93, 309, 156, 372, 157, 373)(94, 310, 141, 357, 158, 374)(96, 312, 159, 375, 160, 376)(97, 313, 161, 377, 133, 349)(134, 350, 175, 391, 176, 392)(137, 353, 177, 393, 178, 394)(139, 355, 179, 395, 180, 396)(142, 358, 181, 397, 182, 398)(143, 359, 183, 399, 184, 400)(146, 362, 185, 401, 186, 402)(147, 363, 187, 403, 188, 404)(149, 365, 189, 405, 190, 406)(162, 378, 191, 407, 192, 408)(163, 379, 193, 409, 194, 410)(164, 380, 195, 411, 196, 412)(165, 381, 197, 413, 198, 414)(166, 382, 199, 415, 200, 416)(167, 383, 201, 417, 202, 418)(168, 384, 203, 419, 204, 420)(169, 385, 205, 421, 206, 422)(170, 386, 207, 423, 208, 424)(171, 387, 209, 425, 210, 426)(172, 388, 211, 427, 212, 428)(173, 389, 213, 429, 214, 430)(174, 390, 215, 431, 216, 432)
	L = (1, 218)(2, 220)(3, 224)(4, 217)(5, 228)(6, 230)(7, 232)(8, 225)(9, 219)(10, 238)(11, 240)(12, 229)(13, 221)(14, 231)(15, 222)(16, 233)(17, 223)(18, 254)(19, 256)(20, 258)(21, 259)(22, 239)(23, 226)(24, 241)(25, 227)(26, 269)(27, 263)(28, 272)(29, 274)(30, 276)(31, 278)(32, 280)(33, 281)(34, 283)(35, 236)(36, 285)(37, 287)(38, 255)(39, 234)(40, 257)(41, 235)(42, 251)(43, 260)(44, 237)(45, 302)(46, 304)(47, 271)(48, 306)(49, 308)(50, 248)(51, 310)(52, 312)(53, 270)(54, 242)(55, 243)(56, 273)(57, 244)(58, 275)(59, 245)(60, 277)(61, 246)(62, 279)(63, 247)(64, 266)(65, 282)(66, 249)(67, 284)(68, 250)(69, 286)(70, 252)(71, 288)(72, 253)(73, 349)(74, 351)(75, 327)(76, 353)(77, 330)(78, 355)(79, 357)(80, 359)(81, 361)(82, 331)(83, 291)(84, 337)(85, 365)(86, 303)(87, 261)(88, 305)(89, 262)(90, 307)(91, 264)(92, 309)(93, 265)(94, 311)(95, 267)(96, 313)(97, 268)(98, 333)(99, 340)(100, 377)(101, 379)(102, 380)(103, 338)(104, 382)(105, 342)(106, 368)(107, 316)(108, 346)(109, 385)(110, 325)(111, 299)(112, 367)(113, 386)(114, 354)(115, 363)(116, 320)(117, 378)(118, 301)(119, 369)(120, 328)(121, 364)(122, 381)(123, 318)(124, 371)(125, 324)(126, 383)(127, 388)(128, 373)(129, 292)(130, 341)(131, 376)(132, 390)(133, 350)(134, 289)(135, 352)(136, 290)(137, 345)(138, 293)(139, 356)(140, 294)(141, 358)(142, 295)(143, 360)(144, 296)(145, 362)(146, 297)(147, 298)(148, 300)(149, 334)(150, 348)(151, 336)(152, 384)(153, 387)(154, 343)(155, 315)(156, 347)(157, 389)(158, 317)(159, 329)(160, 372)(161, 323)(162, 314)(163, 374)(164, 339)(165, 319)(166, 332)(167, 321)(168, 322)(169, 326)(170, 375)(171, 335)(172, 370)(173, 344)(174, 366)(175, 400)(176, 423)(177, 401)(178, 391)(179, 427)(180, 404)(181, 406)(182, 430)(183, 398)(184, 394)(185, 432)(186, 395)(187, 397)(188, 426)(189, 392)(190, 403)(191, 416)(192, 424)(193, 417)(194, 407)(195, 428)(196, 420)(197, 422)(198, 425)(199, 414)(200, 410)(201, 429)(202, 411)(203, 413)(204, 431)(205, 408)(206, 419)(207, 405)(208, 421)(209, 415)(210, 396)(211, 402)(212, 418)(213, 409)(214, 399)(215, 412)(216, 393)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2287
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 72 e = 216 f = 108
	degree seq :: [ 6^72 ]

E19.2290 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1, (T2^-1 * T1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 3, 219, 5, 221)(2, 218, 6, 222, 7, 223)(4, 220, 10, 226, 11, 227)(8, 224, 18, 234, 19, 235)(9, 225, 20, 236, 21, 237)(12, 228, 26, 242, 27, 243)(13, 229, 28, 244, 29, 245)(14, 230, 30, 246, 31, 247)(15, 231, 32, 248, 33, 249)(16, 232, 34, 250, 35, 251)(17, 233, 36, 252, 37, 253)(22, 238, 45, 261, 46, 262)(23, 239, 47, 263, 48, 264)(24, 240, 49, 265, 50, 266)(25, 241, 51, 267, 52, 268)(38, 254, 73, 289, 74, 290)(39, 255, 75, 291, 76, 292)(40, 256, 77, 293, 57, 273)(41, 257, 78, 294, 79, 295)(42, 258, 80, 296, 81, 297)(43, 259, 82, 298, 83, 299)(44, 260, 84, 300, 85, 301)(53, 269, 98, 314, 99, 315)(54, 270, 100, 316, 101, 317)(55, 271, 102, 318, 103, 319)(56, 272, 104, 320, 105, 321)(58, 274, 106, 322, 107, 323)(59, 275, 108, 324, 109, 325)(60, 276, 110, 326, 111, 327)(61, 277, 112, 328, 113, 329)(62, 278, 114, 330, 70, 286)(63, 279, 115, 331, 116, 332)(64, 280, 117, 333, 118, 334)(65, 281, 119, 335, 120, 336)(66, 282, 121, 337, 122, 338)(67, 283, 123, 339, 124, 340)(68, 284, 125, 341, 126, 342)(69, 285, 127, 343, 128, 344)(71, 287, 129, 345, 130, 346)(72, 288, 131, 347, 132, 348)(86, 302, 137, 353, 150, 366)(87, 303, 142, 358, 151, 367)(88, 304, 152, 368, 95, 311)(89, 305, 153, 369, 154, 370)(90, 306, 155, 371, 141, 357)(91, 307, 140, 356, 156, 372)(92, 308, 157, 373, 136, 352)(93, 309, 144, 360, 158, 374)(94, 310, 159, 375, 160, 376)(96, 312, 147, 363, 143, 359)(97, 313, 161, 377, 133, 349)(134, 350, 163, 379, 139, 355)(135, 351, 186, 402, 168, 384)(138, 354, 164, 380, 187, 403)(145, 361, 188, 404, 165, 381)(146, 362, 167, 383, 189, 405)(148, 364, 169, 385, 166, 382)(149, 365, 190, 406, 162, 378)(170, 386, 179, 395, 173, 389)(171, 387, 207, 423, 184, 400)(172, 388, 180, 396, 208, 424)(174, 390, 209, 425, 181, 397)(175, 391, 183, 399, 210, 426)(176, 392, 185, 401, 182, 398)(177, 393, 211, 427, 178, 394)(191, 407, 200, 416, 194, 410)(192, 408, 212, 428, 205, 421)(193, 409, 201, 417, 215, 431)(195, 411, 214, 430, 202, 418)(196, 412, 204, 420, 216, 432)(197, 413, 206, 422, 203, 419)(198, 414, 213, 429, 199, 415)
	L = (1, 218)(2, 220)(3, 224)(4, 217)(5, 228)(6, 230)(7, 232)(8, 225)(9, 219)(10, 238)(11, 240)(12, 229)(13, 221)(14, 231)(15, 222)(16, 233)(17, 223)(18, 254)(19, 256)(20, 258)(21, 259)(22, 239)(23, 226)(24, 241)(25, 227)(26, 269)(27, 263)(28, 272)(29, 274)(30, 276)(31, 278)(32, 280)(33, 281)(34, 283)(35, 236)(36, 285)(37, 287)(38, 255)(39, 234)(40, 257)(41, 235)(42, 251)(43, 260)(44, 237)(45, 302)(46, 304)(47, 271)(48, 306)(49, 308)(50, 248)(51, 310)(52, 312)(53, 270)(54, 242)(55, 243)(56, 273)(57, 244)(58, 275)(59, 245)(60, 277)(61, 246)(62, 279)(63, 247)(64, 266)(65, 282)(66, 249)(67, 284)(68, 250)(69, 286)(70, 252)(71, 288)(72, 253)(73, 349)(74, 350)(75, 333)(76, 343)(77, 353)(78, 354)(79, 345)(80, 357)(81, 359)(82, 361)(83, 291)(84, 332)(85, 364)(86, 303)(87, 261)(88, 305)(89, 262)(90, 307)(91, 264)(92, 309)(93, 265)(94, 311)(95, 267)(96, 313)(97, 268)(98, 378)(99, 329)(100, 334)(101, 380)(102, 336)(103, 346)(104, 340)(105, 382)(106, 337)(107, 316)(108, 384)(109, 368)(110, 325)(111, 386)(112, 318)(113, 375)(114, 289)(115, 388)(116, 363)(117, 299)(118, 323)(119, 390)(120, 328)(121, 370)(122, 392)(123, 394)(124, 367)(125, 319)(126, 396)(127, 352)(128, 398)(129, 356)(130, 341)(131, 400)(132, 293)(133, 330)(134, 351)(135, 290)(136, 292)(137, 348)(138, 355)(139, 294)(140, 295)(141, 358)(142, 296)(143, 360)(144, 297)(145, 362)(146, 298)(147, 300)(148, 365)(149, 301)(150, 407)(151, 320)(152, 326)(153, 409)(154, 322)(155, 411)(156, 413)(157, 415)(158, 417)(159, 315)(160, 419)(161, 421)(162, 379)(163, 314)(164, 381)(165, 317)(166, 383)(167, 321)(168, 385)(169, 324)(170, 387)(171, 327)(172, 389)(173, 331)(174, 391)(175, 335)(176, 393)(177, 338)(178, 395)(179, 339)(180, 397)(181, 342)(182, 399)(183, 344)(184, 401)(185, 347)(186, 423)(187, 429)(188, 425)(189, 431)(190, 432)(191, 408)(192, 366)(193, 410)(194, 369)(195, 412)(196, 371)(197, 414)(198, 372)(199, 416)(200, 373)(201, 418)(202, 374)(203, 420)(204, 376)(205, 422)(206, 377)(207, 428)(208, 406)(209, 430)(210, 403)(211, 405)(212, 402)(213, 426)(214, 404)(215, 427)(216, 424)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2288
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 72 e = 216 f = 108
	degree seq :: [ 6^72 ]

E19.2291 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^3, T2^6, (T1^-1 * T2)^4, T2^-2 * T1 * T2^2 * T1^-1 * T2^2 * T1, T2 * T1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 3, 219, 9, 225, 25, 241, 15, 231, 5, 221)(2, 218, 6, 222, 17, 233, 41, 257, 21, 237, 7, 223)(4, 220, 11, 227, 30, 246, 66, 282, 33, 249, 12, 228)(8, 224, 22, 238, 50, 266, 106, 322, 53, 269, 23, 239)(10, 226, 27, 243, 61, 277, 121, 337, 63, 279, 28, 244)(13, 229, 34, 250, 75, 291, 139, 355, 78, 294, 35, 251)(14, 230, 36, 252, 80, 296, 87, 303, 39, 255, 16, 232)(18, 234, 43, 259, 94, 310, 158, 374, 96, 312, 44, 260)(19, 235, 45, 261, 98, 314, 162, 378, 100, 316, 46, 262)(20, 236, 47, 263, 102, 318, 128, 344, 64, 280, 29, 245)(24, 240, 54, 270, 112, 328, 97, 313, 49, 265, 55, 271)(26, 242, 58, 274, 67, 283, 92, 308, 42, 258, 59, 275)(31, 247, 68, 284, 132, 348, 189, 405, 134, 350, 69, 285)(32, 248, 70, 286, 136, 352, 190, 406, 137, 353, 71, 287)(37, 253, 82, 298, 72, 288, 104, 320, 48, 264, 83, 299)(38, 254, 84, 300, 65, 281, 129, 345, 138, 354, 74, 290)(40, 256, 88, 304, 151, 367, 135, 351, 73, 289, 89, 305)(51, 267, 108, 324, 171, 387, 187, 403, 130, 346, 109, 325)(52, 268, 110, 326, 174, 390, 164, 380, 101, 317, 60, 276)(56, 272, 115, 331, 85, 301, 148, 364, 111, 327, 116, 332)(57, 273, 117, 333, 122, 338, 170, 386, 107, 323, 118, 334)(62, 278, 123, 339, 184, 400, 203, 419, 185, 401, 124, 340)(76, 292, 95, 311, 160, 376, 204, 420, 194, 410, 140, 356)(77, 293, 127, 343, 186, 402, 161, 377, 141, 357, 79, 295)(81, 297, 142, 358, 91, 307, 156, 372, 159, 375, 143, 359)(86, 302, 149, 365, 125, 341, 168, 384, 105, 321, 93, 309)(90, 306, 154, 370, 126, 342, 172, 388, 150, 366, 155, 371)(99, 315, 133, 349, 175, 391, 191, 407, 183, 399, 163, 379)(103, 319, 165, 381, 131, 347, 188, 404, 169, 385, 166, 382)(113, 329, 167, 383, 206, 422, 210, 426, 182, 398, 176, 392)(114, 330, 177, 393, 205, 421, 207, 423, 173, 389, 119, 335)(120, 336, 153, 369, 198, 414, 213, 429, 209, 425, 181, 397)(144, 360, 193, 409, 215, 431, 202, 418, 197, 413, 152, 368)(145, 361, 195, 411, 216, 432, 212, 428, 196, 412, 146, 362)(147, 363, 178, 394, 192, 408, 214, 430, 201, 417, 157, 373)(179, 395, 208, 424, 211, 427, 200, 416, 199, 415, 180, 396)
	L = (1, 218)(2, 220)(3, 224)(4, 217)(5, 229)(6, 232)(7, 235)(8, 226)(9, 240)(10, 219)(11, 245)(12, 248)(13, 230)(14, 221)(15, 253)(16, 234)(17, 256)(18, 222)(19, 236)(20, 223)(21, 264)(22, 228)(23, 267)(24, 242)(25, 272)(26, 225)(27, 276)(28, 278)(29, 247)(30, 281)(31, 227)(32, 238)(33, 288)(34, 290)(35, 284)(36, 295)(37, 254)(38, 231)(39, 301)(40, 258)(41, 306)(42, 233)(43, 309)(44, 311)(45, 313)(46, 243)(47, 317)(48, 265)(49, 237)(50, 321)(51, 268)(52, 239)(53, 294)(54, 244)(55, 329)(56, 273)(57, 241)(58, 335)(59, 336)(60, 262)(61, 296)(62, 270)(63, 291)(64, 342)(65, 283)(66, 346)(67, 246)(68, 293)(69, 349)(70, 351)(71, 259)(72, 289)(73, 249)(74, 292)(75, 341)(76, 250)(77, 251)(78, 327)(79, 297)(80, 338)(81, 252)(82, 334)(83, 358)(84, 362)(85, 302)(86, 255)(87, 316)(88, 260)(89, 368)(90, 307)(91, 257)(92, 373)(93, 287)(94, 318)(95, 304)(96, 314)(97, 315)(98, 377)(99, 261)(100, 366)(101, 319)(102, 375)(103, 263)(104, 381)(105, 323)(106, 385)(107, 266)(108, 364)(109, 274)(110, 389)(111, 269)(112, 367)(113, 330)(114, 271)(115, 275)(116, 394)(117, 396)(118, 360)(119, 325)(120, 331)(121, 398)(122, 277)(123, 365)(124, 286)(125, 279)(126, 343)(127, 280)(128, 353)(129, 285)(130, 347)(131, 282)(132, 322)(133, 345)(134, 352)(135, 340)(136, 390)(137, 387)(138, 328)(139, 407)(140, 409)(141, 379)(142, 361)(143, 382)(144, 298)(145, 299)(146, 363)(147, 300)(148, 388)(149, 397)(150, 303)(151, 354)(152, 369)(153, 305)(154, 308)(155, 393)(156, 416)(157, 370)(158, 418)(159, 310)(160, 402)(161, 312)(162, 400)(163, 411)(164, 401)(165, 383)(166, 386)(167, 320)(168, 356)(169, 348)(170, 359)(171, 344)(172, 324)(173, 391)(174, 350)(175, 326)(176, 333)(177, 415)(178, 395)(179, 332)(180, 392)(181, 339)(182, 399)(183, 337)(184, 421)(185, 422)(186, 417)(187, 414)(188, 424)(189, 428)(190, 420)(191, 408)(192, 355)(193, 384)(194, 405)(195, 357)(196, 404)(197, 372)(198, 427)(199, 371)(200, 413)(201, 376)(202, 419)(203, 374)(204, 429)(205, 378)(206, 380)(207, 425)(208, 412)(209, 430)(210, 431)(211, 403)(212, 410)(213, 406)(214, 423)(215, 432)(216, 426)
	local type(s) :: { ( 3^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2286
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 36 e = 216 f = 144
	degree seq :: [ 12^36 ]

E19.2292 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {3, 3, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, F * T1 * F * T2, (T2 * T1^-1)^4, T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1, T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1, (T2^-1 * T1^-1)^6, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 5)(2, 6, 7)(4, 10, 11)(8, 18, 19)(9, 20, 21)(12, 26, 27)(13, 28, 29)(14, 30, 31)(15, 32, 33)(16, 34, 35)(17, 36, 37)(22, 45, 46)(23, 47, 48)(24, 49, 50)(25, 51, 52)(38, 73, 74)(39, 75, 76)(40, 77, 57)(41, 78, 79)(42, 80, 81)(43, 82, 83)(44, 84, 85)(53, 98, 99)(54, 100, 101)(55, 102, 103)(56, 104, 105)(58, 106, 107)(59, 108, 109)(60, 110, 111)(61, 112, 113)(62, 114, 70)(63, 115, 116)(64, 117, 118)(65, 119, 120)(66, 121, 122)(67, 123, 124)(68, 125, 126)(69, 127, 128)(71, 129, 130)(72, 131, 132)(86, 154, 155)(87, 156, 138)(88, 157, 95)(89, 158, 143)(90, 159, 160)(91, 161, 162)(92, 148, 163)(93, 164, 165)(94, 150, 166)(96, 167, 168)(97, 169, 133)(134, 186, 173)(135, 191, 142)(136, 202, 177)(137, 205, 204)(139, 197, 196)(140, 189, 206)(141, 199, 207)(144, 208, 209)(145, 198, 174)(146, 185, 151)(147, 194, 178)(149, 210, 187)(152, 195, 211)(153, 212, 170)(171, 216, 176)(172, 188, 215)(175, 190, 184)(179, 193, 213)(180, 203, 182)(181, 201, 192)(183, 214, 200)(217, 218, 220)(219, 224, 225)(221, 228, 229)(222, 230, 231)(223, 232, 233)(226, 238, 239)(227, 240, 241)(234, 254, 255)(235, 256, 257)(236, 258, 251)(237, 259, 260)(242, 269, 270)(243, 263, 271)(244, 272, 273)(245, 274, 275)(246, 276, 277)(247, 278, 279)(248, 280, 266)(249, 281, 282)(250, 283, 284)(252, 285, 286)(253, 287, 288)(261, 302, 303)(262, 304, 305)(264, 306, 307)(265, 308, 309)(267, 310, 311)(268, 312, 313)(289, 349, 350)(290, 351, 352)(291, 353, 299)(292, 329, 354)(293, 355, 356)(294, 357, 358)(295, 332, 359)(296, 360, 361)(297, 362, 363)(298, 364, 365)(300, 366, 367)(301, 368, 369)(314, 386, 335)(315, 387, 345)(316, 388, 323)(317, 389, 390)(318, 391, 392)(319, 393, 394)(320, 395, 337)(321, 396, 347)(322, 379, 397)(324, 382, 398)(325, 399, 326)(327, 400, 401)(328, 402, 336)(330, 403, 404)(331, 405, 406)(333, 407, 408)(334, 409, 410)(338, 411, 412)(339, 413, 375)(340, 414, 383)(341, 415, 346)(342, 416, 417)(343, 418, 377)(344, 419, 385)(348, 420, 370)(371, 425, 429)(372, 430, 376)(373, 428, 423)(374, 431, 424)(378, 427, 426)(380, 422, 384)(381, 421, 432)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12^3 ) }
Outer automorphisms :: reflexible
Dual of E19.2293
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 144 e = 216 f = 36
	degree seq :: [ 3^144 ]

E19.2293 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {3, 3, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, F * T1 * T2 * F * T1^-1, T2^6, (T2^-1 * T1^-1)^3, (T2 * T1^-1)^4, T2^2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-1, T1 * T2^-3 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-2, T2^-3 * T1^-1 * T2^-2 * T1 * T2^-1 * T1^-1 * T2^2 * T1^-1, (T2^2 * T1^-1 * T2^-1 * F * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 3, 219, 9, 225, 25, 241, 15, 231, 5, 221)(2, 218, 6, 222, 17, 233, 41, 257, 21, 237, 7, 223)(4, 220, 11, 227, 30, 246, 66, 282, 33, 249, 12, 228)(8, 224, 22, 238, 50, 266, 109, 325, 53, 269, 23, 239)(10, 226, 27, 243, 61, 277, 128, 344, 63, 279, 28, 244)(13, 229, 34, 250, 75, 291, 150, 366, 78, 294, 35, 251)(14, 230, 36, 252, 80, 296, 87, 303, 39, 255, 16, 232)(18, 234, 43, 259, 95, 311, 175, 391, 97, 313, 44, 260)(19, 235, 45, 261, 99, 315, 179, 395, 101, 317, 46, 262)(20, 236, 47, 263, 103, 319, 135, 351, 64, 280, 29, 245)(24, 240, 54, 270, 116, 332, 183, 399, 118, 334, 55, 271)(26, 242, 58, 274, 124, 340, 174, 390, 126, 342, 59, 275)(31, 247, 68, 284, 141, 357, 204, 420, 132, 348, 69, 285)(32, 248, 70, 286, 144, 360, 152, 368, 145, 361, 71, 287)(37, 253, 82, 298, 100, 316, 142, 358, 159, 375, 83, 299)(38, 254, 84, 300, 104, 320, 184, 400, 149, 365, 74, 290)(40, 256, 88, 304, 167, 383, 191, 407, 168, 384, 89, 305)(42, 258, 92, 308, 172, 388, 212, 428, 153, 369, 93, 309)(48, 264, 105, 321, 131, 347, 62, 278, 130, 346, 106, 322)(49, 265, 107, 323, 110, 326, 192, 408, 178, 394, 98, 314)(51, 267, 111, 327, 193, 409, 171, 387, 91, 307, 112, 328)(52, 268, 113, 329, 194, 410, 182, 398, 102, 318, 60, 276)(56, 272, 119, 335, 199, 415, 214, 430, 201, 417, 120, 336)(57, 273, 121, 337, 133, 349, 205, 421, 185, 401, 122, 338)(65, 281, 136, 352, 207, 423, 155, 371, 123, 339, 117, 333)(67, 283, 139, 355, 200, 416, 127, 343, 181, 397, 140, 356)(72, 288, 146, 362, 76, 292, 96, 312, 177, 393, 147, 363)(73, 289, 148, 364, 81, 297, 156, 372, 197, 413, 143, 359)(77, 293, 134, 350, 190, 406, 188, 404, 154, 370, 79, 295)(85, 301, 162, 378, 157, 373, 210, 426, 138, 354, 163, 379)(86, 302, 164, 380, 161, 377, 189, 405, 108, 324, 94, 310)(90, 306, 169, 385, 129, 345, 160, 376, 158, 374, 170, 386)(114, 330, 195, 411, 202, 418, 125, 341, 180, 396, 166, 382)(115, 331, 196, 412, 198, 414, 215, 431, 211, 427, 151, 367)(137, 353, 208, 424, 176, 392, 187, 403, 186, 402, 209, 425)(165, 381, 216, 432, 203, 419, 173, 389, 213, 429, 206, 422)
	L = (1, 218)(2, 220)(3, 224)(4, 217)(5, 229)(6, 232)(7, 235)(8, 226)(9, 240)(10, 219)(11, 245)(12, 248)(13, 230)(14, 221)(15, 253)(16, 234)(17, 256)(18, 222)(19, 236)(20, 223)(21, 264)(22, 228)(23, 267)(24, 242)(25, 272)(26, 225)(27, 276)(28, 278)(29, 247)(30, 281)(31, 227)(32, 238)(33, 288)(34, 290)(35, 284)(36, 295)(37, 254)(38, 231)(39, 301)(40, 258)(41, 306)(42, 233)(43, 310)(44, 312)(45, 314)(46, 243)(47, 318)(48, 265)(49, 237)(50, 324)(51, 268)(52, 239)(53, 330)(54, 244)(55, 305)(56, 273)(57, 241)(58, 339)(59, 341)(60, 262)(61, 343)(62, 270)(63, 313)(64, 349)(65, 283)(66, 353)(67, 246)(68, 293)(69, 358)(70, 359)(71, 259)(72, 289)(73, 249)(74, 292)(75, 327)(76, 250)(77, 251)(78, 368)(79, 297)(80, 329)(81, 252)(82, 338)(83, 372)(84, 376)(85, 302)(86, 255)(87, 381)(88, 260)(89, 333)(90, 307)(91, 257)(92, 334)(93, 389)(94, 287)(95, 390)(96, 304)(97, 348)(98, 316)(99, 378)(100, 261)(101, 366)(102, 320)(103, 380)(104, 263)(105, 387)(106, 400)(107, 403)(108, 326)(109, 406)(110, 266)(111, 367)(112, 274)(113, 371)(114, 331)(115, 269)(116, 413)(117, 271)(118, 379)(119, 275)(120, 405)(121, 355)(122, 373)(123, 328)(124, 386)(125, 335)(126, 361)(127, 345)(128, 419)(129, 277)(130, 420)(131, 286)(132, 279)(133, 350)(134, 280)(135, 412)(136, 285)(137, 354)(138, 282)(139, 384)(140, 427)(141, 428)(142, 352)(143, 347)(144, 421)(145, 395)(146, 426)(147, 408)(148, 430)(149, 411)(150, 397)(151, 291)(152, 369)(153, 294)(154, 340)(155, 296)(156, 374)(157, 298)(158, 299)(159, 391)(160, 377)(161, 300)(162, 396)(163, 308)(164, 399)(165, 382)(166, 303)(167, 365)(168, 337)(169, 309)(170, 370)(171, 401)(172, 425)(173, 385)(174, 392)(175, 431)(176, 311)(177, 344)(178, 432)(179, 342)(180, 315)(181, 317)(182, 388)(183, 319)(184, 402)(185, 321)(186, 322)(187, 404)(188, 323)(189, 416)(190, 407)(191, 325)(192, 417)(193, 362)(194, 364)(195, 383)(196, 422)(197, 414)(198, 332)(199, 357)(200, 336)(201, 363)(202, 346)(203, 393)(204, 418)(205, 429)(206, 351)(207, 394)(208, 356)(209, 398)(210, 409)(211, 424)(212, 415)(213, 360)(214, 410)(215, 375)(216, 423)
	local type(s) :: { ( 3^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2292
Transitivity :: ET+ VT+
Graph:: simple
	v = 36 e = 216 f = 144
	degree seq :: [ 12^36 ]

E19.2294 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y1, Y2^3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, Y3^6, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1)^4, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^2 * Y2^-1 * Y3^-1, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 4, 220, 15, 231, 44, 260, 23, 239, 7, 223)(2, 218, 8, 224, 25, 241, 69, 285, 31, 247, 10, 226)(3, 219, 5, 221, 18, 234, 51, 267, 39, 255, 13, 229)(6, 222, 12, 228, 35, 251, 92, 308, 57, 273, 20, 236)(9, 225, 22, 238, 61, 277, 142, 358, 77, 293, 28, 244)(11, 227, 32, 248, 86, 302, 178, 394, 90, 306, 34, 250)(14, 230, 16, 232, 47, 263, 117, 333, 107, 323, 42, 258)(17, 233, 41, 257, 104, 320, 196, 412, 121, 337, 49, 265)(19, 235, 30, 246, 81, 297, 171, 387, 130, 346, 54, 270)(21, 237, 58, 274, 88, 304, 177, 393, 141, 357, 60, 276)(24, 240, 26, 242, 72, 288, 159, 375, 152, 368, 67, 283)(27, 243, 66, 282, 149, 365, 132, 348, 55, 271, 74, 290)(29, 245, 78, 294, 139, 355, 206, 422, 116, 332, 80, 296)(33, 249, 38, 254, 99, 315, 191, 407, 166, 382, 89, 305)(36, 252, 73, 289, 76, 292, 164, 380, 119, 335, 95, 311)(37, 253, 96, 312, 118, 334, 205, 421, 190, 406, 98, 314)(40, 256, 68, 284, 70, 286, 156, 372, 85, 301, 87, 303)(43, 259, 45, 261, 113, 329, 168, 384, 169, 385, 110, 326)(46, 262, 109, 325, 148, 364, 151, 367, 172, 388, 115, 331)(48, 264, 56, 272, 133, 349, 162, 378, 167, 383, 82, 298)(50, 266, 52, 268, 126, 342, 199, 415, 209, 425, 123, 339)(53, 269, 122, 338, 208, 424, 163, 379, 75, 291, 128, 344)(59, 275, 64, 280, 100, 316, 185, 401, 187, 403, 140, 356)(62, 278, 127, 343, 129, 345, 212, 428, 131, 347, 136, 352)(63, 279, 145, 361, 160, 376, 181, 397, 194, 410, 146, 362)(65, 281, 124, 340, 125, 341, 197, 413, 137, 353, 138, 354)(71, 287, 153, 369, 108, 324, 91, 307, 93, 309, 158, 374)(79, 295, 84, 300, 147, 363, 214, 430, 135, 351, 170, 386)(83, 299, 174, 390, 200, 416, 207, 423, 203, 419, 175, 391)(94, 310, 182, 398, 201, 417, 195, 411, 179, 395, 186, 402)(97, 313, 102, 318, 134, 350, 114, 330, 120, 336, 189, 405)(101, 317, 192, 408, 103, 319, 106, 322, 143, 359, 193, 409)(105, 321, 198, 414, 204, 420, 215, 431, 216, 432, 144, 360)(111, 327, 112, 328, 165, 381, 157, 373, 161, 377, 202, 418)(150, 366, 188, 404, 176, 392, 183, 399, 184, 400, 173, 389)(154, 370, 155, 371, 213, 429, 210, 426, 211, 427, 180, 396)(433, 434, 437)(435, 443, 444)(436, 438, 448)(439, 453, 454)(440, 441, 458)(442, 461, 462)(445, 469, 470)(446, 472, 473)(447, 449, 477)(450, 451, 484)(452, 487, 488)(455, 495, 496)(456, 497, 498)(457, 459, 502)(460, 507, 508)(463, 515, 516)(464, 465, 519)(466, 504, 505)(467, 468, 525)(471, 533, 534)(474, 537, 538)(475, 540, 541)(476, 478, 544)(479, 480, 512)(481, 551, 552)(482, 542, 554)(483, 485, 557)(486, 553, 561)(489, 567, 568)(490, 491, 570)(492, 558, 559)(493, 494, 575)(499, 582, 583)(500, 535, 585)(501, 503, 587)(506, 563, 593)(509, 598, 599)(510, 511, 601)(513, 514, 604)(517, 608, 609)(518, 520, 571)(521, 611, 536)(522, 612, 613)(523, 555, 614)(524, 526, 616)(527, 562, 619)(528, 529, 620)(530, 590, 617)(531, 532, 579)(539, 631, 632)(543, 633, 577)(545, 546, 564)(547, 623, 607)(548, 634, 637)(549, 550, 584)(556, 580, 624)(560, 594, 643)(565, 566, 626)(569, 627, 638)(572, 647, 581)(573, 621, 639)(574, 576, 618)(578, 625, 646)(586, 630, 606)(588, 589, 595)(591, 592, 641)(596, 597, 635)(600, 636, 610)(602, 615, 640)(603, 605, 648)(622, 644, 645)(628, 629, 642)(649, 651, 654)(650, 655, 657)(652, 662, 665)(653, 658, 667)(656, 672, 675)(659, 661, 681)(660, 682, 684)(663, 691, 694)(664, 668, 696)(666, 698, 701)(669, 671, 707)(670, 708, 710)(673, 716, 719)(674, 676, 721)(677, 679, 727)(678, 728, 730)(680, 733, 736)(683, 739, 742)(685, 687, 745)(686, 746, 748)(688, 690, 751)(689, 735, 737)(692, 759, 711)(693, 697, 762)(695, 764, 766)(699, 772, 749)(700, 702, 775)(703, 705, 779)(704, 780, 782)(706, 785, 787)(709, 754, 792)(712, 794, 795)(713, 715, 796)(714, 786, 788)(717, 802, 731)(718, 722, 805)(720, 738, 808)(723, 725, 810)(724, 811, 813)(726, 816, 734)(729, 799, 821)(732, 823, 747)(740, 831, 783)(741, 743, 833)(744, 798, 800)(750, 841, 842)(752, 843, 845)(753, 755, 822)(756, 758, 771)(757, 801, 840)(760, 763, 851)(761, 797, 852)(765, 807, 847)(767, 769, 778)(768, 812, 855)(770, 817, 818)(773, 776, 858)(774, 789, 848)(777, 844, 861)(781, 829, 859)(784, 862, 791)(790, 827, 814)(793, 830, 857)(803, 806, 838)(804, 856, 824)(809, 860, 853)(815, 839, 820)(819, 863, 835)(825, 836, 837)(826, 846, 828)(832, 834, 864)(849, 850, 854)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4^3 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2297
Graph:: simple bipartite
	v = 180 e = 432 f = 216
	degree seq :: [ 3^144, 12^36 ]

E19.2295 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^4, Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^6 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 434, 436)(435, 440, 441)(437, 444, 445)(438, 446, 447)(439, 448, 449)(442, 454, 455)(443, 456, 457)(450, 470, 471)(451, 472, 473)(452, 474, 467)(453, 475, 476)(458, 485, 486)(459, 479, 487)(460, 488, 489)(461, 490, 491)(462, 492, 493)(463, 494, 495)(464, 496, 482)(465, 497, 498)(466, 499, 500)(468, 501, 502)(469, 503, 504)(477, 518, 519)(478, 520, 521)(480, 522, 523)(481, 524, 525)(483, 526, 527)(484, 528, 529)(505, 565, 566)(506, 567, 547)(507, 568, 515)(508, 569, 553)(509, 570, 571)(510, 572, 573)(511, 574, 575)(512, 576, 577)(513, 578, 579)(514, 580, 581)(516, 582, 583)(517, 584, 585)(530, 602, 603)(531, 604, 548)(532, 605, 539)(533, 606, 554)(534, 607, 608)(535, 609, 610)(536, 559, 597)(537, 611, 612)(538, 561, 599)(540, 613, 614)(541, 615, 542)(543, 616, 589)(544, 617, 552)(545, 618, 593)(546, 619, 620)(549, 621, 622)(550, 623, 624)(551, 625, 626)(555, 627, 628)(556, 629, 590)(557, 630, 562)(558, 631, 594)(560, 632, 633)(563, 634, 635)(564, 636, 586)(587, 645, 592)(588, 638, 646)(591, 639, 637)(595, 641, 647)(596, 644, 600)(598, 643, 640)(601, 648, 642)(649, 651, 653)(650, 654, 655)(652, 658, 659)(656, 666, 667)(657, 668, 669)(660, 674, 675)(661, 676, 677)(662, 678, 679)(663, 680, 681)(664, 682, 683)(665, 684, 685)(670, 693, 694)(671, 695, 696)(672, 697, 698)(673, 699, 700)(686, 721, 722)(687, 723, 724)(688, 725, 705)(689, 726, 727)(690, 728, 729)(691, 730, 731)(692, 732, 733)(701, 746, 747)(702, 748, 749)(703, 750, 751)(704, 752, 753)(706, 754, 755)(707, 756, 757)(708, 758, 759)(709, 760, 761)(710, 762, 718)(711, 763, 764)(712, 765, 766)(713, 767, 768)(714, 769, 770)(715, 771, 772)(716, 773, 774)(717, 775, 776)(719, 777, 778)(720, 779, 780)(734, 802, 788)(735, 803, 798)(736, 804, 743)(737, 805, 806)(738, 807, 808)(739, 809, 810)(740, 811, 790)(741, 812, 800)(742, 813, 814)(744, 815, 816)(745, 817, 781)(782, 853, 846)(783, 832, 789)(784, 849, 854)(785, 839, 855)(786, 833, 856)(787, 857, 847)(791, 850, 838)(792, 837, 823)(793, 845, 829)(794, 841, 799)(795, 858, 859)(796, 834, 825)(797, 860, 831)(801, 836, 818)(819, 844, 863)(820, 864, 824)(821, 852, 842)(822, 862, 843)(826, 851, 848)(827, 840, 830)(828, 835, 861)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 24, 24 ), ( 24^3 ) }
Outer automorphisms :: reflexible
Dual of E19.2296
Graph:: simple bipartite
	v = 360 e = 432 f = 36
	degree seq :: [ 2^216, 3^144 ]

E19.2296 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y1, Y2^3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, Y3^6, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1)^4, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^2 * Y2^-1 * Y3^-1, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 217, 433, 649, 4, 220, 436, 652, 15, 231, 447, 663, 44, 260, 476, 692, 23, 239, 455, 671, 7, 223, 439, 655)(2, 218, 434, 650, 8, 224, 440, 656, 25, 241, 457, 673, 69, 285, 501, 717, 31, 247, 463, 679, 10, 226, 442, 658)(3, 219, 435, 651, 5, 221, 437, 653, 18, 234, 450, 666, 51, 267, 483, 699, 39, 255, 471, 687, 13, 229, 445, 661)(6, 222, 438, 654, 12, 228, 444, 660, 35, 251, 467, 683, 92, 308, 524, 740, 57, 273, 489, 705, 20, 236, 452, 668)(9, 225, 441, 657, 22, 238, 454, 670, 61, 277, 493, 709, 142, 358, 574, 790, 77, 293, 509, 725, 28, 244, 460, 676)(11, 227, 443, 659, 32, 248, 464, 680, 86, 302, 518, 734, 178, 394, 610, 826, 90, 306, 522, 738, 34, 250, 466, 682)(14, 230, 446, 662, 16, 232, 448, 664, 47, 263, 479, 695, 117, 333, 549, 765, 107, 323, 539, 755, 42, 258, 474, 690)(17, 233, 449, 665, 41, 257, 473, 689, 104, 320, 536, 752, 196, 412, 628, 844, 121, 337, 553, 769, 49, 265, 481, 697)(19, 235, 451, 667, 30, 246, 462, 678, 81, 297, 513, 729, 171, 387, 603, 819, 130, 346, 562, 778, 54, 270, 486, 702)(21, 237, 453, 669, 58, 274, 490, 706, 88, 304, 520, 736, 177, 393, 609, 825, 141, 357, 573, 789, 60, 276, 492, 708)(24, 240, 456, 672, 26, 242, 458, 674, 72, 288, 504, 720, 159, 375, 591, 807, 152, 368, 584, 800, 67, 283, 499, 715)(27, 243, 459, 675, 66, 282, 498, 714, 149, 365, 581, 797, 132, 348, 564, 780, 55, 271, 487, 703, 74, 290, 506, 722)(29, 245, 461, 677, 78, 294, 510, 726, 139, 355, 571, 787, 206, 422, 638, 854, 116, 332, 548, 764, 80, 296, 512, 728)(33, 249, 465, 681, 38, 254, 470, 686, 99, 315, 531, 747, 191, 407, 623, 839, 166, 382, 598, 814, 89, 305, 521, 737)(36, 252, 468, 684, 73, 289, 505, 721, 76, 292, 508, 724, 164, 380, 596, 812, 119, 335, 551, 767, 95, 311, 527, 743)(37, 253, 469, 685, 96, 312, 528, 744, 118, 334, 550, 766, 205, 421, 637, 853, 190, 406, 622, 838, 98, 314, 530, 746)(40, 256, 472, 688, 68, 284, 500, 716, 70, 286, 502, 718, 156, 372, 588, 804, 85, 301, 517, 733, 87, 303, 519, 735)(43, 259, 475, 691, 45, 261, 477, 693, 113, 329, 545, 761, 168, 384, 600, 816, 169, 385, 601, 817, 110, 326, 542, 758)(46, 262, 478, 694, 109, 325, 541, 757, 148, 364, 580, 796, 151, 367, 583, 799, 172, 388, 604, 820, 115, 331, 547, 763)(48, 264, 480, 696, 56, 272, 488, 704, 133, 349, 565, 781, 162, 378, 594, 810, 167, 383, 599, 815, 82, 298, 514, 730)(50, 266, 482, 698, 52, 268, 484, 700, 126, 342, 558, 774, 199, 415, 631, 847, 209, 425, 641, 857, 123, 339, 555, 771)(53, 269, 485, 701, 122, 338, 554, 770, 208, 424, 640, 856, 163, 379, 595, 811, 75, 291, 507, 723, 128, 344, 560, 776)(59, 275, 491, 707, 64, 280, 496, 712, 100, 316, 532, 748, 185, 401, 617, 833, 187, 403, 619, 835, 140, 356, 572, 788)(62, 278, 494, 710, 127, 343, 559, 775, 129, 345, 561, 777, 212, 428, 644, 860, 131, 347, 563, 779, 136, 352, 568, 784)(63, 279, 495, 711, 145, 361, 577, 793, 160, 376, 592, 808, 181, 397, 613, 829, 194, 410, 626, 842, 146, 362, 578, 794)(65, 281, 497, 713, 124, 340, 556, 772, 125, 341, 557, 773, 197, 413, 629, 845, 137, 353, 569, 785, 138, 354, 570, 786)(71, 287, 503, 719, 153, 369, 585, 801, 108, 324, 540, 756, 91, 307, 523, 739, 93, 309, 525, 741, 158, 374, 590, 806)(79, 295, 511, 727, 84, 300, 516, 732, 147, 363, 579, 795, 214, 430, 646, 862, 135, 351, 567, 783, 170, 386, 602, 818)(83, 299, 515, 731, 174, 390, 606, 822, 200, 416, 632, 848, 207, 423, 639, 855, 203, 419, 635, 851, 175, 391, 607, 823)(94, 310, 526, 742, 182, 398, 614, 830, 201, 417, 633, 849, 195, 411, 627, 843, 179, 395, 611, 827, 186, 402, 618, 834)(97, 313, 529, 745, 102, 318, 534, 750, 134, 350, 566, 782, 114, 330, 546, 762, 120, 336, 552, 768, 189, 405, 621, 837)(101, 317, 533, 749, 192, 408, 624, 840, 103, 319, 535, 751, 106, 322, 538, 754, 143, 359, 575, 791, 193, 409, 625, 841)(105, 321, 537, 753, 198, 414, 630, 846, 204, 420, 636, 852, 215, 431, 647, 863, 216, 432, 648, 864, 144, 360, 576, 792)(111, 327, 543, 759, 112, 328, 544, 760, 165, 381, 597, 813, 157, 373, 589, 805, 161, 377, 593, 809, 202, 418, 634, 850)(150, 366, 582, 798, 188, 404, 620, 836, 176, 392, 608, 824, 183, 399, 615, 831, 184, 400, 616, 832, 173, 389, 605, 821)(154, 370, 586, 802, 155, 371, 587, 803, 213, 429, 645, 861, 210, 426, 642, 858, 211, 427, 643, 859, 180, 396, 612, 828)
	L = (1, 218)(2, 221)(3, 227)(4, 222)(5, 217)(6, 232)(7, 237)(8, 225)(9, 242)(10, 245)(11, 228)(12, 219)(13, 253)(14, 256)(15, 233)(16, 220)(17, 261)(18, 235)(19, 268)(20, 271)(21, 238)(22, 223)(23, 279)(24, 281)(25, 243)(26, 224)(27, 286)(28, 291)(29, 246)(30, 226)(31, 299)(32, 249)(33, 303)(34, 288)(35, 252)(36, 309)(37, 254)(38, 229)(39, 317)(40, 257)(41, 230)(42, 321)(43, 324)(44, 262)(45, 231)(46, 328)(47, 264)(48, 296)(49, 335)(50, 326)(51, 269)(52, 234)(53, 341)(54, 337)(55, 272)(56, 236)(57, 351)(58, 275)(59, 354)(60, 342)(61, 278)(62, 359)(63, 280)(64, 239)(65, 282)(66, 240)(67, 366)(68, 319)(69, 287)(70, 241)(71, 371)(72, 289)(73, 250)(74, 347)(75, 292)(76, 244)(77, 382)(78, 295)(79, 385)(80, 263)(81, 298)(82, 388)(83, 300)(84, 247)(85, 392)(86, 304)(87, 248)(88, 355)(89, 395)(90, 396)(91, 339)(92, 310)(93, 251)(94, 400)(95, 346)(96, 313)(97, 404)(98, 374)(99, 316)(100, 363)(101, 318)(102, 255)(103, 369)(104, 305)(105, 322)(106, 258)(107, 415)(108, 325)(109, 259)(110, 338)(111, 417)(112, 260)(113, 330)(114, 348)(115, 407)(116, 418)(117, 334)(118, 368)(119, 336)(120, 265)(121, 345)(122, 266)(123, 398)(124, 364)(125, 267)(126, 343)(127, 276)(128, 378)(129, 270)(130, 403)(131, 377)(132, 329)(133, 350)(134, 410)(135, 352)(136, 273)(137, 411)(138, 274)(139, 302)(140, 431)(141, 405)(142, 360)(143, 277)(144, 402)(145, 327)(146, 409)(147, 315)(148, 408)(149, 356)(150, 367)(151, 283)(152, 333)(153, 284)(154, 414)(155, 285)(156, 373)(157, 379)(158, 401)(159, 376)(160, 425)(161, 290)(162, 427)(163, 372)(164, 381)(165, 419)(166, 383)(167, 293)(168, 420)(169, 294)(170, 399)(171, 389)(172, 297)(173, 432)(174, 370)(175, 331)(176, 393)(177, 301)(178, 384)(179, 320)(180, 397)(181, 306)(182, 307)(183, 424)(184, 308)(185, 314)(186, 358)(187, 311)(188, 312)(189, 423)(190, 428)(191, 391)(192, 340)(193, 430)(194, 349)(195, 422)(196, 413)(197, 426)(198, 390)(199, 416)(200, 323)(201, 361)(202, 421)(203, 380)(204, 394)(205, 332)(206, 353)(207, 357)(208, 386)(209, 375)(210, 412)(211, 344)(212, 429)(213, 406)(214, 362)(215, 365)(216, 387)(433, 651)(434, 655)(435, 654)(436, 662)(437, 658)(438, 649)(439, 657)(440, 672)(441, 650)(442, 667)(443, 661)(444, 682)(445, 681)(446, 665)(447, 691)(448, 668)(449, 652)(450, 698)(451, 653)(452, 696)(453, 671)(454, 708)(455, 707)(456, 675)(457, 716)(458, 676)(459, 656)(460, 721)(461, 679)(462, 728)(463, 727)(464, 733)(465, 659)(466, 684)(467, 739)(468, 660)(469, 687)(470, 746)(471, 745)(472, 690)(473, 735)(474, 751)(475, 694)(476, 759)(477, 697)(478, 663)(479, 764)(480, 664)(481, 762)(482, 701)(483, 772)(484, 702)(485, 666)(486, 775)(487, 705)(488, 780)(489, 779)(490, 785)(491, 669)(492, 710)(493, 754)(494, 670)(495, 692)(496, 794)(497, 715)(498, 786)(499, 796)(500, 719)(501, 802)(502, 722)(503, 673)(504, 738)(505, 674)(506, 805)(507, 725)(508, 811)(509, 810)(510, 816)(511, 677)(512, 730)(513, 799)(514, 678)(515, 717)(516, 823)(517, 736)(518, 726)(519, 737)(520, 680)(521, 689)(522, 808)(523, 742)(524, 831)(525, 743)(526, 683)(527, 833)(528, 798)(529, 685)(530, 748)(531, 732)(532, 686)(533, 699)(534, 841)(535, 688)(536, 843)(537, 755)(538, 792)(539, 822)(540, 758)(541, 801)(542, 771)(543, 711)(544, 763)(545, 797)(546, 693)(547, 851)(548, 766)(549, 807)(550, 695)(551, 769)(552, 812)(553, 778)(554, 817)(555, 756)(556, 749)(557, 776)(558, 789)(559, 700)(560, 858)(561, 844)(562, 767)(563, 703)(564, 782)(565, 829)(566, 704)(567, 740)(568, 862)(569, 787)(570, 788)(571, 706)(572, 714)(573, 848)(574, 827)(575, 784)(576, 709)(577, 830)(578, 795)(579, 712)(580, 713)(581, 852)(582, 800)(583, 821)(584, 744)(585, 840)(586, 731)(587, 806)(588, 856)(589, 718)(590, 838)(591, 847)(592, 720)(593, 860)(594, 723)(595, 813)(596, 855)(597, 724)(598, 790)(599, 839)(600, 734)(601, 818)(602, 770)(603, 863)(604, 815)(605, 729)(606, 753)(607, 747)(608, 804)(609, 836)(610, 846)(611, 814)(612, 826)(613, 859)(614, 857)(615, 783)(616, 834)(617, 741)(618, 864)(619, 819)(620, 837)(621, 825)(622, 803)(623, 820)(624, 757)(625, 842)(626, 750)(627, 845)(628, 861)(629, 752)(630, 828)(631, 765)(632, 774)(633, 850)(634, 854)(635, 760)(636, 761)(637, 809)(638, 849)(639, 768)(640, 824)(641, 793)(642, 773)(643, 781)(644, 853)(645, 777)(646, 791)(647, 835)(648, 832)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E19.2295
Transitivity :: VT+
Graph::
	v = 36 e = 432 f = 360
	degree seq :: [ 24^36 ]

E19.2297 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^4, Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 433, 649)(2, 218, 434, 650)(3, 219, 435, 651)(4, 220, 436, 652)(5, 221, 437, 653)(6, 222, 438, 654)(7, 223, 439, 655)(8, 224, 440, 656)(9, 225, 441, 657)(10, 226, 442, 658)(11, 227, 443, 659)(12, 228, 444, 660)(13, 229, 445, 661)(14, 230, 446, 662)(15, 231, 447, 663)(16, 232, 448, 664)(17, 233, 449, 665)(18, 234, 450, 666)(19, 235, 451, 667)(20, 236, 452, 668)(21, 237, 453, 669)(22, 238, 454, 670)(23, 239, 455, 671)(24, 240, 456, 672)(25, 241, 457, 673)(26, 242, 458, 674)(27, 243, 459, 675)(28, 244, 460, 676)(29, 245, 461, 677)(30, 246, 462, 678)(31, 247, 463, 679)(32, 248, 464, 680)(33, 249, 465, 681)(34, 250, 466, 682)(35, 251, 467, 683)(36, 252, 468, 684)(37, 253, 469, 685)(38, 254, 470, 686)(39, 255, 471, 687)(40, 256, 472, 688)(41, 257, 473, 689)(42, 258, 474, 690)(43, 259, 475, 691)(44, 260, 476, 692)(45, 261, 477, 693)(46, 262, 478, 694)(47, 263, 479, 695)(48, 264, 480, 696)(49, 265, 481, 697)(50, 266, 482, 698)(51, 267, 483, 699)(52, 268, 484, 700)(53, 269, 485, 701)(54, 270, 486, 702)(55, 271, 487, 703)(56, 272, 488, 704)(57, 273, 489, 705)(58, 274, 490, 706)(59, 275, 491, 707)(60, 276, 492, 708)(61, 277, 493, 709)(62, 278, 494, 710)(63, 279, 495, 711)(64, 280, 496, 712)(65, 281, 497, 713)(66, 282, 498, 714)(67, 283, 499, 715)(68, 284, 500, 716)(69, 285, 501, 717)(70, 286, 502, 718)(71, 287, 503, 719)(72, 288, 504, 720)(73, 289, 505, 721)(74, 290, 506, 722)(75, 291, 507, 723)(76, 292, 508, 724)(77, 293, 509, 725)(78, 294, 510, 726)(79, 295, 511, 727)(80, 296, 512, 728)(81, 297, 513, 729)(82, 298, 514, 730)(83, 299, 515, 731)(84, 300, 516, 732)(85, 301, 517, 733)(86, 302, 518, 734)(87, 303, 519, 735)(88, 304, 520, 736)(89, 305, 521, 737)(90, 306, 522, 738)(91, 307, 523, 739)(92, 308, 524, 740)(93, 309, 525, 741)(94, 310, 526, 742)(95, 311, 527, 743)(96, 312, 528, 744)(97, 313, 529, 745)(98, 314, 530, 746)(99, 315, 531, 747)(100, 316, 532, 748)(101, 317, 533, 749)(102, 318, 534, 750)(103, 319, 535, 751)(104, 320, 536, 752)(105, 321, 537, 753)(106, 322, 538, 754)(107, 323, 539, 755)(108, 324, 540, 756)(109, 325, 541, 757)(110, 326, 542, 758)(111, 327, 543, 759)(112, 328, 544, 760)(113, 329, 545, 761)(114, 330, 546, 762)(115, 331, 547, 763)(116, 332, 548, 764)(117, 333, 549, 765)(118, 334, 550, 766)(119, 335, 551, 767)(120, 336, 552, 768)(121, 337, 553, 769)(122, 338, 554, 770)(123, 339, 555, 771)(124, 340, 556, 772)(125, 341, 557, 773)(126, 342, 558, 774)(127, 343, 559, 775)(128, 344, 560, 776)(129, 345, 561, 777)(130, 346, 562, 778)(131, 347, 563, 779)(132, 348, 564, 780)(133, 349, 565, 781)(134, 350, 566, 782)(135, 351, 567, 783)(136, 352, 568, 784)(137, 353, 569, 785)(138, 354, 570, 786)(139, 355, 571, 787)(140, 356, 572, 788)(141, 357, 573, 789)(142, 358, 574, 790)(143, 359, 575, 791)(144, 360, 576, 792)(145, 361, 577, 793)(146, 362, 578, 794)(147, 363, 579, 795)(148, 364, 580, 796)(149, 365, 581, 797)(150, 366, 582, 798)(151, 367, 583, 799)(152, 368, 584, 800)(153, 369, 585, 801)(154, 370, 586, 802)(155, 371, 587, 803)(156, 372, 588, 804)(157, 373, 589, 805)(158, 374, 590, 806)(159, 375, 591, 807)(160, 376, 592, 808)(161, 377, 593, 809)(162, 378, 594, 810)(163, 379, 595, 811)(164, 380, 596, 812)(165, 381, 597, 813)(166, 382, 598, 814)(167, 383, 599, 815)(168, 384, 600, 816)(169, 385, 601, 817)(170, 386, 602, 818)(171, 387, 603, 819)(172, 388, 604, 820)(173, 389, 605, 821)(174, 390, 606, 822)(175, 391, 607, 823)(176, 392, 608, 824)(177, 393, 609, 825)(178, 394, 610, 826)(179, 395, 611, 827)(180, 396, 612, 828)(181, 397, 613, 829)(182, 398, 614, 830)(183, 399, 615, 831)(184, 400, 616, 832)(185, 401, 617, 833)(186, 402, 618, 834)(187, 403, 619, 835)(188, 404, 620, 836)(189, 405, 621, 837)(190, 406, 622, 838)(191, 407, 623, 839)(192, 408, 624, 840)(193, 409, 625, 841)(194, 410, 626, 842)(195, 411, 627, 843)(196, 412, 628, 844)(197, 413, 629, 845)(198, 414, 630, 846)(199, 415, 631, 847)(200, 416, 632, 848)(201, 417, 633, 849)(202, 418, 634, 850)(203, 419, 635, 851)(204, 420, 636, 852)(205, 421, 637, 853)(206, 422, 638, 854)(207, 423, 639, 855)(208, 424, 640, 856)(209, 425, 641, 857)(210, 426, 642, 858)(211, 427, 643, 859)(212, 428, 644, 860)(213, 429, 645, 861)(214, 430, 646, 862)(215, 431, 647, 863)(216, 432, 648, 864)
	L = (1, 218)(2, 220)(3, 224)(4, 217)(5, 228)(6, 230)(7, 232)(8, 225)(9, 219)(10, 238)(11, 240)(12, 229)(13, 221)(14, 231)(15, 222)(16, 233)(17, 223)(18, 254)(19, 256)(20, 258)(21, 259)(22, 239)(23, 226)(24, 241)(25, 227)(26, 269)(27, 263)(28, 272)(29, 274)(30, 276)(31, 278)(32, 280)(33, 281)(34, 283)(35, 236)(36, 285)(37, 287)(38, 255)(39, 234)(40, 257)(41, 235)(42, 251)(43, 260)(44, 237)(45, 302)(46, 304)(47, 271)(48, 306)(49, 308)(50, 248)(51, 310)(52, 312)(53, 270)(54, 242)(55, 243)(56, 273)(57, 244)(58, 275)(59, 245)(60, 277)(61, 246)(62, 279)(63, 247)(64, 266)(65, 282)(66, 249)(67, 284)(68, 250)(69, 286)(70, 252)(71, 288)(72, 253)(73, 349)(74, 351)(75, 352)(76, 353)(77, 354)(78, 356)(79, 358)(80, 360)(81, 362)(82, 364)(83, 291)(84, 366)(85, 368)(86, 303)(87, 261)(88, 305)(89, 262)(90, 307)(91, 264)(92, 309)(93, 265)(94, 311)(95, 267)(96, 313)(97, 268)(98, 386)(99, 388)(100, 389)(101, 390)(102, 391)(103, 393)(104, 343)(105, 395)(106, 345)(107, 316)(108, 397)(109, 399)(110, 325)(111, 400)(112, 401)(113, 402)(114, 403)(115, 290)(116, 315)(117, 405)(118, 407)(119, 409)(120, 328)(121, 292)(122, 317)(123, 411)(124, 413)(125, 414)(126, 415)(127, 381)(128, 416)(129, 383)(130, 341)(131, 418)(132, 420)(133, 350)(134, 289)(135, 331)(136, 299)(137, 337)(138, 355)(139, 293)(140, 357)(141, 294)(142, 359)(143, 295)(144, 361)(145, 296)(146, 363)(147, 297)(148, 365)(149, 298)(150, 367)(151, 300)(152, 369)(153, 301)(154, 348)(155, 429)(156, 422)(157, 327)(158, 340)(159, 423)(160, 371)(161, 329)(162, 342)(163, 425)(164, 428)(165, 320)(166, 427)(167, 322)(168, 380)(169, 432)(170, 387)(171, 314)(172, 332)(173, 323)(174, 338)(175, 392)(176, 318)(177, 394)(178, 319)(179, 396)(180, 321)(181, 398)(182, 324)(183, 326)(184, 373)(185, 336)(186, 377)(187, 404)(188, 330)(189, 406)(190, 333)(191, 408)(192, 334)(193, 410)(194, 335)(195, 412)(196, 339)(197, 374)(198, 346)(199, 378)(200, 417)(201, 344)(202, 419)(203, 347)(204, 370)(205, 375)(206, 430)(207, 421)(208, 382)(209, 431)(210, 385)(211, 424)(212, 384)(213, 376)(214, 372)(215, 379)(216, 426)(433, 651)(434, 654)(435, 653)(436, 658)(437, 649)(438, 655)(439, 650)(440, 666)(441, 668)(442, 659)(443, 652)(444, 674)(445, 676)(446, 678)(447, 680)(448, 682)(449, 684)(450, 667)(451, 656)(452, 669)(453, 657)(454, 693)(455, 695)(456, 697)(457, 699)(458, 675)(459, 660)(460, 677)(461, 661)(462, 679)(463, 662)(464, 681)(465, 663)(466, 683)(467, 664)(468, 685)(469, 665)(470, 721)(471, 723)(472, 725)(473, 726)(474, 728)(475, 730)(476, 732)(477, 694)(478, 670)(479, 696)(480, 671)(481, 698)(482, 672)(483, 700)(484, 673)(485, 746)(486, 748)(487, 750)(488, 752)(489, 688)(490, 754)(491, 756)(492, 758)(493, 760)(494, 762)(495, 763)(496, 765)(497, 767)(498, 769)(499, 771)(500, 773)(501, 775)(502, 710)(503, 777)(504, 779)(505, 722)(506, 686)(507, 724)(508, 687)(509, 705)(510, 727)(511, 689)(512, 729)(513, 690)(514, 731)(515, 691)(516, 733)(517, 692)(518, 802)(519, 803)(520, 804)(521, 805)(522, 807)(523, 809)(524, 811)(525, 812)(526, 813)(527, 736)(528, 815)(529, 817)(530, 747)(531, 701)(532, 749)(533, 702)(534, 751)(535, 703)(536, 753)(537, 704)(538, 755)(539, 706)(540, 757)(541, 707)(542, 759)(543, 708)(544, 761)(545, 709)(546, 718)(547, 764)(548, 711)(549, 766)(550, 712)(551, 768)(552, 713)(553, 770)(554, 714)(555, 772)(556, 715)(557, 774)(558, 716)(559, 776)(560, 717)(561, 778)(562, 719)(563, 780)(564, 720)(565, 745)(566, 853)(567, 832)(568, 849)(569, 839)(570, 833)(571, 857)(572, 734)(573, 783)(574, 740)(575, 850)(576, 837)(577, 845)(578, 841)(579, 858)(580, 834)(581, 860)(582, 735)(583, 794)(584, 741)(585, 836)(586, 788)(587, 798)(588, 743)(589, 806)(590, 737)(591, 808)(592, 738)(593, 810)(594, 739)(595, 790)(596, 800)(597, 814)(598, 742)(599, 816)(600, 744)(601, 781)(602, 801)(603, 844)(604, 864)(605, 852)(606, 862)(607, 792)(608, 820)(609, 796)(610, 851)(611, 840)(612, 835)(613, 793)(614, 827)(615, 797)(616, 789)(617, 856)(618, 825)(619, 861)(620, 818)(621, 823)(622, 791)(623, 855)(624, 830)(625, 799)(626, 821)(627, 822)(628, 863)(629, 829)(630, 782)(631, 787)(632, 826)(633, 854)(634, 838)(635, 848)(636, 842)(637, 846)(638, 784)(639, 785)(640, 786)(641, 847)(642, 859)(643, 795)(644, 831)(645, 828)(646, 843)(647, 819)(648, 824)
	local type(s) :: { ( 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2294
Transitivity :: VT+
Graph:: simple
	v = 216 e = 432 f = 180
	degree seq :: [ 4^216 ]

E19.2298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3^-2 * Y1, Y2^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^6, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 9, 225)(5, 221, 12, 228, 13, 229)(6, 222, 14, 230, 15, 231)(7, 223, 16, 232, 17, 233)(10, 226, 22, 238, 23, 239)(11, 227, 24, 240, 25, 241)(18, 234, 38, 254, 39, 255)(19, 235, 40, 256, 41, 257)(20, 236, 42, 258, 35, 251)(21, 237, 43, 259, 44, 260)(26, 242, 53, 269, 54, 270)(27, 243, 47, 263, 55, 271)(28, 244, 56, 272, 57, 273)(29, 245, 58, 274, 59, 275)(30, 246, 60, 276, 61, 277)(31, 247, 62, 278, 63, 279)(32, 248, 64, 280, 50, 266)(33, 249, 65, 281, 66, 282)(34, 250, 67, 283, 68, 284)(36, 252, 69, 285, 70, 286)(37, 253, 71, 287, 72, 288)(45, 261, 86, 302, 87, 303)(46, 262, 88, 304, 89, 305)(48, 264, 90, 306, 91, 307)(49, 265, 92, 308, 93, 309)(51, 267, 94, 310, 95, 311)(52, 268, 96, 312, 97, 313)(73, 289, 133, 349, 114, 330)(74, 290, 134, 350, 135, 351)(75, 291, 117, 333, 83, 299)(76, 292, 127, 343, 136, 352)(77, 293, 137, 353, 132, 348)(78, 294, 138, 354, 139, 355)(79, 295, 129, 345, 140, 356)(80, 296, 141, 357, 142, 358)(81, 297, 143, 359, 144, 360)(82, 298, 145, 361, 146, 362)(84, 300, 116, 332, 147, 363)(85, 301, 148, 364, 149, 365)(98, 314, 162, 378, 163, 379)(99, 315, 113, 329, 159, 375)(100, 316, 118, 334, 107, 323)(101, 317, 164, 380, 165, 381)(102, 318, 120, 336, 112, 328)(103, 319, 130, 346, 125, 341)(104, 320, 124, 340, 151, 367)(105, 321, 166, 382, 167, 383)(106, 322, 121, 337, 154, 370)(108, 324, 168, 384, 169, 385)(109, 325, 152, 368, 110, 326)(111, 327, 170, 386, 171, 387)(115, 331, 172, 388, 173, 389)(119, 335, 174, 390, 175, 391)(122, 338, 176, 392, 177, 393)(123, 339, 178, 394, 179, 395)(126, 342, 180, 396, 181, 397)(128, 344, 182, 398, 183, 399)(131, 347, 184, 400, 185, 401)(150, 366, 191, 407, 192, 408)(153, 369, 193, 409, 194, 410)(155, 371, 195, 411, 196, 412)(156, 372, 197, 413, 198, 414)(157, 373, 199, 415, 200, 416)(158, 374, 201, 417, 202, 418)(160, 376, 203, 419, 204, 420)(161, 377, 205, 421, 206, 422)(186, 402, 207, 423, 212, 428)(187, 403, 213, 429, 210, 426)(188, 404, 209, 425, 214, 430)(189, 405, 215, 431, 211, 427)(190, 406, 216, 432, 208, 424)(433, 649, 435, 651, 437, 653)(434, 650, 438, 654, 439, 655)(436, 652, 442, 658, 443, 659)(440, 656, 450, 666, 451, 667)(441, 657, 452, 668, 453, 669)(444, 660, 458, 674, 459, 675)(445, 661, 460, 676, 461, 677)(446, 662, 462, 678, 463, 679)(447, 663, 464, 680, 465, 681)(448, 664, 466, 682, 467, 683)(449, 665, 468, 684, 469, 685)(454, 670, 477, 693, 478, 694)(455, 671, 479, 695, 480, 696)(456, 672, 481, 697, 482, 698)(457, 673, 483, 699, 484, 700)(470, 686, 505, 721, 506, 722)(471, 687, 507, 723, 508, 724)(472, 688, 509, 725, 489, 705)(473, 689, 510, 726, 511, 727)(474, 690, 512, 728, 513, 729)(475, 691, 514, 730, 515, 731)(476, 692, 516, 732, 517, 733)(485, 701, 530, 746, 531, 747)(486, 702, 532, 748, 533, 749)(487, 703, 534, 750, 535, 751)(488, 704, 536, 752, 537, 753)(490, 706, 538, 754, 539, 755)(491, 707, 540, 756, 541, 757)(492, 708, 542, 758, 543, 759)(493, 709, 544, 760, 545, 761)(494, 710, 546, 762, 502, 718)(495, 711, 547, 763, 548, 764)(496, 712, 549, 765, 550, 766)(497, 713, 551, 767, 552, 768)(498, 714, 553, 769, 554, 770)(499, 715, 555, 771, 556, 772)(500, 716, 557, 773, 558, 774)(501, 717, 559, 775, 560, 776)(503, 719, 561, 777, 562, 778)(504, 720, 563, 779, 564, 780)(518, 734, 569, 785, 582, 798)(519, 735, 574, 790, 583, 799)(520, 736, 584, 800, 527, 743)(521, 737, 585, 801, 586, 802)(522, 738, 587, 803, 573, 789)(523, 739, 572, 788, 588, 804)(524, 740, 589, 805, 568, 784)(525, 741, 576, 792, 590, 806)(526, 742, 591, 807, 592, 808)(528, 744, 579, 795, 575, 791)(529, 745, 593, 809, 565, 781)(566, 782, 595, 811, 571, 787)(567, 783, 618, 834, 600, 816)(570, 786, 596, 812, 619, 835)(577, 793, 620, 836, 597, 813)(578, 794, 599, 815, 621, 837)(580, 796, 601, 817, 598, 814)(581, 797, 622, 838, 594, 810)(602, 818, 611, 827, 605, 821)(603, 819, 639, 855, 616, 832)(604, 820, 612, 828, 640, 856)(606, 822, 641, 857, 613, 829)(607, 823, 615, 831, 642, 858)(608, 824, 617, 833, 614, 830)(609, 825, 643, 859, 610, 826)(623, 839, 632, 848, 626, 842)(624, 840, 644, 860, 637, 853)(625, 841, 633, 849, 647, 863)(627, 843, 646, 862, 634, 850)(628, 844, 636, 852, 648, 864)(629, 845, 638, 854, 635, 851)(630, 846, 645, 861, 631, 847)
	L = (1, 436)(2, 433)(3, 441)(4, 434)(5, 445)(6, 447)(7, 449)(8, 435)(9, 440)(10, 455)(11, 457)(12, 437)(13, 444)(14, 438)(15, 446)(16, 439)(17, 448)(18, 471)(19, 473)(20, 467)(21, 476)(22, 442)(23, 454)(24, 443)(25, 456)(26, 486)(27, 487)(28, 489)(29, 491)(30, 493)(31, 495)(32, 482)(33, 498)(34, 500)(35, 474)(36, 502)(37, 504)(38, 450)(39, 470)(40, 451)(41, 472)(42, 452)(43, 453)(44, 475)(45, 519)(46, 521)(47, 459)(48, 523)(49, 525)(50, 496)(51, 527)(52, 529)(53, 458)(54, 485)(55, 479)(56, 460)(57, 488)(58, 461)(59, 490)(60, 462)(61, 492)(62, 463)(63, 494)(64, 464)(65, 465)(66, 497)(67, 466)(68, 499)(69, 468)(70, 501)(71, 469)(72, 503)(73, 546)(74, 567)(75, 515)(76, 568)(77, 564)(78, 571)(79, 572)(80, 574)(81, 576)(82, 578)(83, 549)(84, 579)(85, 581)(86, 477)(87, 518)(88, 478)(89, 520)(90, 480)(91, 522)(92, 481)(93, 524)(94, 483)(95, 526)(96, 484)(97, 528)(98, 595)(99, 591)(100, 539)(101, 597)(102, 544)(103, 557)(104, 583)(105, 599)(106, 586)(107, 550)(108, 601)(109, 542)(110, 584)(111, 603)(112, 552)(113, 531)(114, 565)(115, 605)(116, 516)(117, 507)(118, 532)(119, 607)(120, 534)(121, 538)(122, 609)(123, 611)(124, 536)(125, 562)(126, 613)(127, 508)(128, 615)(129, 511)(130, 535)(131, 617)(132, 569)(133, 505)(134, 506)(135, 566)(136, 559)(137, 509)(138, 510)(139, 570)(140, 561)(141, 512)(142, 573)(143, 513)(144, 575)(145, 514)(146, 577)(147, 548)(148, 517)(149, 580)(150, 624)(151, 556)(152, 541)(153, 626)(154, 553)(155, 628)(156, 630)(157, 632)(158, 634)(159, 545)(160, 636)(161, 638)(162, 530)(163, 594)(164, 533)(165, 596)(166, 537)(167, 598)(168, 540)(169, 600)(170, 543)(171, 602)(172, 547)(173, 604)(174, 551)(175, 606)(176, 554)(177, 608)(178, 555)(179, 610)(180, 558)(181, 612)(182, 560)(183, 614)(184, 563)(185, 616)(186, 644)(187, 642)(188, 646)(189, 643)(190, 640)(191, 582)(192, 623)(193, 585)(194, 625)(195, 587)(196, 627)(197, 588)(198, 629)(199, 589)(200, 631)(201, 590)(202, 633)(203, 592)(204, 635)(205, 593)(206, 637)(207, 618)(208, 648)(209, 620)(210, 645)(211, 647)(212, 639)(213, 619)(214, 641)(215, 621)(216, 622)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2303
Graph:: bipartite
	v = 144 e = 432 f = 252
	degree seq :: [ 6^144 ]

E19.2299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2)^3, (Y3^-1 * Y1^-1)^3, Y2^6, (Y2 * Y1^-1)^4, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y2^-2 * Y1 * Y2^-3 * Y1 * Y2^-2 * Y1^-1, Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^2 ]
Map::
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 10, 226)(5, 221, 13, 229, 14, 230)(6, 222, 16, 232, 18, 234)(7, 223, 19, 235, 20, 236)(9, 225, 24, 240, 26, 242)(11, 227, 29, 245, 31, 247)(12, 228, 32, 248, 22, 238)(15, 231, 37, 253, 38, 254)(17, 233, 40, 256, 42, 258)(21, 237, 48, 264, 49, 265)(23, 239, 51, 267, 52, 268)(25, 241, 56, 272, 57, 273)(27, 243, 60, 276, 46, 262)(28, 244, 62, 278, 54, 270)(30, 246, 65, 281, 67, 283)(33, 249, 72, 288, 73, 289)(34, 250, 74, 290, 76, 292)(35, 251, 68, 284, 77, 293)(36, 252, 79, 295, 81, 297)(39, 255, 85, 301, 86, 302)(41, 257, 90, 306, 91, 307)(43, 259, 94, 310, 71, 287)(44, 260, 96, 312, 88, 304)(45, 261, 98, 314, 100, 316)(47, 263, 102, 318, 104, 320)(50, 266, 108, 324, 110, 326)(53, 269, 114, 330, 115, 331)(55, 271, 99, 315, 116, 332)(58, 274, 121, 337, 112, 328)(59, 275, 123, 339, 118, 334)(61, 277, 92, 308, 125, 341)(63, 279, 107, 323, 128, 344)(64, 280, 129, 345, 130, 346)(66, 282, 133, 349, 134, 350)(69, 285, 137, 353, 119, 335)(70, 286, 138, 354, 127, 343)(75, 291, 142, 358, 132, 348)(78, 294, 144, 360, 122, 338)(80, 296, 117, 333, 146, 362)(82, 298, 120, 336, 147, 363)(83, 299, 101, 317, 148, 364)(84, 300, 149, 365, 111, 327)(87, 303, 151, 367, 152, 368)(89, 305, 139, 355, 153, 369)(93, 309, 157, 373, 155, 371)(95, 311, 135, 351, 158, 374)(97, 313, 141, 357, 160, 376)(103, 319, 154, 370, 163, 379)(105, 321, 156, 372, 164, 380)(106, 322, 140, 356, 165, 381)(109, 325, 167, 383, 168, 384)(113, 329, 169, 385, 171, 387)(124, 340, 174, 390, 178, 394)(126, 342, 180, 396, 177, 393)(131, 347, 184, 400, 185, 401)(136, 352, 187, 403, 186, 402)(143, 359, 190, 406, 189, 405)(145, 361, 193, 409, 194, 410)(150, 366, 179, 395, 191, 407)(159, 375, 196, 412, 203, 419)(161, 377, 205, 421, 175, 391)(162, 378, 207, 423, 208, 424)(166, 382, 181, 397, 192, 408)(170, 386, 200, 416, 195, 411)(172, 388, 210, 426, 212, 428)(173, 389, 182, 398, 213, 429)(176, 392, 202, 418, 198, 414)(183, 399, 204, 420, 206, 422)(188, 404, 199, 415, 215, 431)(197, 413, 214, 430, 201, 417)(209, 425, 216, 432, 211, 427)(433, 649, 435, 651, 441, 657, 457, 673, 447, 663, 437, 653)(434, 650, 438, 654, 449, 665, 473, 689, 453, 669, 439, 655)(436, 652, 443, 659, 462, 678, 498, 714, 465, 681, 444, 660)(440, 656, 454, 670, 482, 698, 541, 757, 485, 701, 455, 671)(442, 658, 459, 675, 493, 709, 517, 733, 495, 711, 460, 676)(445, 661, 466, 682, 507, 723, 542, 758, 510, 726, 467, 683)(446, 662, 468, 684, 512, 728, 519, 735, 471, 687, 448, 664)(450, 666, 475, 691, 527, 743, 561, 777, 529, 745, 476, 692)(451, 667, 477, 693, 531, 747, 513, 729, 533, 749, 478, 694)(452, 668, 479, 695, 535, 751, 563, 779, 496, 712, 461, 677)(456, 672, 486, 702, 522, 738, 587, 803, 549, 765, 487, 703)(458, 674, 490, 706, 554, 770, 504, 720, 556, 772, 491, 707)(463, 679, 500, 716, 544, 760, 483, 699, 543, 759, 501, 717)(464, 680, 502, 718, 571, 787, 536, 752, 572, 788, 503, 719)(469, 685, 514, 730, 525, 741, 474, 690, 524, 740, 515, 731)(470, 686, 516, 732, 547, 763, 606, 822, 566, 782, 506, 722)(472, 688, 520, 736, 565, 781, 618, 834, 586, 802, 521, 737)(480, 696, 537, 753, 568, 784, 499, 715, 567, 783, 538, 754)(481, 697, 539, 755, 584, 800, 552, 768, 489, 705, 530, 746)(484, 700, 545, 761, 602, 818, 594, 810, 534, 750, 492, 708)(488, 704, 550, 766, 599, 815, 564, 780, 497, 713, 551, 767)(494, 710, 558, 774, 613, 829, 603, 819, 614, 830, 559, 775)(505, 721, 573, 789, 617, 833, 588, 804, 523, 739, 570, 786)(508, 724, 528, 744, 591, 807, 625, 841, 623, 839, 575, 791)(509, 725, 562, 778, 615, 831, 627, 843, 577, 793, 511, 727)(518, 734, 582, 798, 632, 848, 598, 814, 540, 756, 526, 742)(532, 748, 569, 785, 620, 836, 639, 855, 638, 854, 593, 809)(546, 762, 604, 820, 611, 827, 557, 773, 585, 801, 605, 821)(548, 764, 607, 823, 616, 832, 643, 859, 601, 817, 553, 769)(555, 771, 608, 824, 596, 812, 637, 853, 646, 862, 609, 825)(560, 776, 597, 813, 640, 856, 642, 858, 600, 816, 612, 828)(574, 790, 621, 837, 583, 799, 633, 849, 636, 852, 590, 806)(576, 792, 624, 840, 629, 845, 578, 794, 628, 844, 592, 808)(579, 795, 622, 838, 644, 860, 647, 863, 619, 835, 630, 846)(580, 796, 626, 842, 641, 857, 595, 811, 631, 847, 581, 797)(589, 805, 634, 850, 610, 826, 645, 861, 648, 864, 635, 851)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 449)(7, 434)(8, 454)(9, 457)(10, 459)(11, 462)(12, 436)(13, 466)(14, 468)(15, 437)(16, 446)(17, 473)(18, 475)(19, 477)(20, 479)(21, 439)(22, 482)(23, 440)(24, 486)(25, 447)(26, 490)(27, 493)(28, 442)(29, 452)(30, 498)(31, 500)(32, 502)(33, 444)(34, 507)(35, 445)(36, 512)(37, 514)(38, 516)(39, 448)(40, 520)(41, 453)(42, 524)(43, 527)(44, 450)(45, 531)(46, 451)(47, 535)(48, 537)(49, 539)(50, 541)(51, 543)(52, 545)(53, 455)(54, 522)(55, 456)(56, 550)(57, 530)(58, 554)(59, 458)(60, 484)(61, 517)(62, 558)(63, 460)(64, 461)(65, 551)(66, 465)(67, 567)(68, 544)(69, 463)(70, 571)(71, 464)(72, 556)(73, 573)(74, 470)(75, 542)(76, 528)(77, 562)(78, 467)(79, 509)(80, 519)(81, 533)(82, 525)(83, 469)(84, 547)(85, 495)(86, 582)(87, 471)(88, 565)(89, 472)(90, 587)(91, 570)(92, 515)(93, 474)(94, 518)(95, 561)(96, 591)(97, 476)(98, 481)(99, 513)(100, 569)(101, 478)(102, 492)(103, 563)(104, 572)(105, 568)(106, 480)(107, 584)(108, 526)(109, 485)(110, 510)(111, 501)(112, 483)(113, 602)(114, 604)(115, 606)(116, 607)(117, 487)(118, 599)(119, 488)(120, 489)(121, 548)(122, 504)(123, 608)(124, 491)(125, 585)(126, 613)(127, 494)(128, 597)(129, 529)(130, 615)(131, 496)(132, 497)(133, 618)(134, 506)(135, 538)(136, 499)(137, 620)(138, 505)(139, 536)(140, 503)(141, 617)(142, 621)(143, 508)(144, 624)(145, 511)(146, 628)(147, 622)(148, 626)(149, 580)(150, 632)(151, 633)(152, 552)(153, 605)(154, 521)(155, 549)(156, 523)(157, 634)(158, 574)(159, 625)(160, 576)(161, 532)(162, 534)(163, 631)(164, 637)(165, 640)(166, 540)(167, 564)(168, 612)(169, 553)(170, 594)(171, 614)(172, 611)(173, 546)(174, 566)(175, 616)(176, 596)(177, 555)(178, 645)(179, 557)(180, 560)(181, 603)(182, 559)(183, 627)(184, 643)(185, 588)(186, 586)(187, 630)(188, 639)(189, 583)(190, 644)(191, 575)(192, 629)(193, 623)(194, 641)(195, 577)(196, 592)(197, 578)(198, 579)(199, 581)(200, 598)(201, 636)(202, 610)(203, 589)(204, 590)(205, 646)(206, 593)(207, 638)(208, 642)(209, 595)(210, 600)(211, 601)(212, 647)(213, 648)(214, 609)(215, 619)(216, 635)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2301
Graph:: bipartite
	v = 108 e = 432 f = 288
	degree seq :: [ 6^72, 12^36 ]

E19.2300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^3, (Y1^-1 * Y2^-1)^3, Y2^6, (Y1^-1 * Y2)^4, Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^2 * Y1, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 10, 226)(5, 221, 13, 229, 14, 230)(6, 222, 16, 232, 18, 234)(7, 223, 19, 235, 20, 236)(9, 225, 24, 240, 26, 242)(11, 227, 29, 245, 31, 247)(12, 228, 32, 248, 22, 238)(15, 231, 37, 253, 38, 254)(17, 233, 40, 256, 42, 258)(21, 237, 48, 264, 49, 265)(23, 239, 51, 267, 52, 268)(25, 241, 56, 272, 57, 273)(27, 243, 60, 276, 46, 262)(28, 244, 62, 278, 54, 270)(30, 246, 65, 281, 67, 283)(33, 249, 72, 288, 73, 289)(34, 250, 74, 290, 76, 292)(35, 251, 68, 284, 77, 293)(36, 252, 79, 295, 81, 297)(39, 255, 85, 301, 86, 302)(41, 257, 90, 306, 91, 307)(43, 259, 93, 309, 71, 287)(44, 260, 95, 311, 88, 304)(45, 261, 97, 313, 99, 315)(47, 263, 101, 317, 103, 319)(50, 266, 105, 321, 107, 323)(53, 269, 78, 294, 111, 327)(55, 271, 113, 329, 114, 330)(58, 274, 119, 335, 109, 325)(59, 275, 120, 336, 115, 331)(61, 277, 80, 296, 122, 338)(63, 279, 75, 291, 125, 341)(64, 280, 126, 342, 127, 343)(66, 282, 130, 346, 131, 347)(69, 285, 133, 349, 129, 345)(70, 286, 135, 351, 124, 340)(82, 298, 118, 334, 144, 360)(83, 299, 142, 358, 145, 361)(84, 300, 146, 362, 147, 363)(87, 303, 100, 316, 150, 366)(89, 305, 152, 368, 153, 369)(92, 308, 157, 373, 154, 370)(94, 310, 102, 318, 159, 375)(96, 312, 98, 314, 161, 377)(104, 320, 165, 381, 167, 383)(106, 322, 169, 385, 132, 348)(108, 324, 148, 364, 172, 388)(110, 326, 173, 389, 175, 391)(112, 328, 151, 367, 138, 354)(116, 332, 178, 394, 179, 395)(117, 333, 180, 396, 176, 392)(121, 337, 182, 398, 183, 399)(123, 339, 149, 365, 181, 397)(128, 344, 137, 353, 171, 387)(134, 350, 136, 352, 174, 390)(139, 355, 191, 407, 192, 408)(140, 356, 193, 409, 168, 384)(141, 357, 163, 379, 195, 411)(143, 359, 166, 382, 170, 386)(155, 371, 177, 393, 199, 415)(156, 372, 200, 416, 197, 413)(158, 374, 202, 418, 203, 419)(160, 376, 186, 402, 201, 417)(162, 378, 184, 400, 205, 421)(164, 380, 185, 401, 206, 422)(187, 403, 198, 414, 211, 427)(188, 404, 208, 424, 196, 412)(189, 405, 212, 428, 194, 410)(190, 406, 204, 420, 213, 429)(207, 423, 209, 425, 214, 430)(210, 426, 215, 431, 216, 432)(433, 649, 435, 651, 441, 657, 457, 673, 447, 663, 437, 653)(434, 650, 438, 654, 449, 665, 473, 689, 453, 669, 439, 655)(436, 652, 443, 659, 462, 678, 498, 714, 465, 681, 444, 660)(440, 656, 454, 670, 482, 698, 538, 754, 485, 701, 455, 671)(442, 658, 459, 675, 493, 709, 553, 769, 495, 711, 460, 676)(445, 661, 466, 682, 507, 723, 571, 787, 510, 726, 467, 683)(446, 662, 468, 684, 512, 728, 519, 735, 471, 687, 448, 664)(450, 666, 475, 691, 526, 742, 590, 806, 528, 744, 476, 692)(451, 667, 477, 693, 530, 746, 594, 810, 532, 748, 478, 694)(452, 668, 479, 695, 534, 750, 560, 776, 496, 712, 461, 677)(456, 672, 486, 702, 544, 760, 529, 745, 481, 697, 487, 703)(458, 674, 490, 706, 499, 715, 524, 740, 474, 690, 491, 707)(463, 679, 500, 716, 564, 780, 621, 837, 566, 782, 501, 717)(464, 680, 502, 718, 568, 784, 622, 838, 569, 785, 503, 719)(469, 685, 514, 730, 504, 720, 536, 752, 480, 696, 515, 731)(470, 686, 516, 732, 497, 713, 561, 777, 570, 786, 506, 722)(472, 688, 520, 736, 583, 799, 567, 783, 505, 721, 521, 737)(483, 699, 540, 756, 603, 819, 619, 835, 562, 778, 541, 757)(484, 700, 542, 758, 606, 822, 596, 812, 533, 749, 492, 708)(488, 704, 547, 763, 517, 733, 580, 796, 543, 759, 548, 764)(489, 705, 549, 765, 554, 770, 602, 818, 539, 755, 550, 766)(494, 710, 555, 771, 616, 832, 635, 851, 617, 833, 556, 772)(508, 724, 527, 743, 592, 808, 636, 852, 626, 842, 572, 788)(509, 725, 559, 775, 618, 834, 593, 809, 573, 789, 511, 727)(513, 729, 574, 790, 523, 739, 588, 804, 591, 807, 575, 791)(518, 734, 581, 797, 557, 773, 600, 816, 537, 753, 525, 741)(522, 738, 586, 802, 558, 774, 604, 820, 582, 798, 587, 803)(531, 747, 565, 781, 607, 823, 623, 839, 615, 831, 595, 811)(535, 751, 597, 813, 563, 779, 620, 836, 601, 817, 598, 814)(545, 761, 599, 815, 638, 854, 642, 858, 614, 830, 608, 824)(546, 762, 609, 825, 637, 853, 639, 855, 605, 821, 551, 767)(552, 768, 585, 801, 630, 846, 645, 861, 641, 857, 613, 829)(576, 792, 625, 841, 647, 863, 634, 850, 629, 845, 584, 800)(577, 793, 627, 843, 648, 864, 644, 860, 628, 844, 578, 794)(579, 795, 610, 826, 624, 840, 646, 862, 633, 849, 589, 805)(611, 827, 640, 856, 643, 859, 632, 848, 631, 847, 612, 828)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 449)(7, 434)(8, 454)(9, 457)(10, 459)(11, 462)(12, 436)(13, 466)(14, 468)(15, 437)(16, 446)(17, 473)(18, 475)(19, 477)(20, 479)(21, 439)(22, 482)(23, 440)(24, 486)(25, 447)(26, 490)(27, 493)(28, 442)(29, 452)(30, 498)(31, 500)(32, 502)(33, 444)(34, 507)(35, 445)(36, 512)(37, 514)(38, 516)(39, 448)(40, 520)(41, 453)(42, 491)(43, 526)(44, 450)(45, 530)(46, 451)(47, 534)(48, 515)(49, 487)(50, 538)(51, 540)(52, 542)(53, 455)(54, 544)(55, 456)(56, 547)(57, 549)(58, 499)(59, 458)(60, 484)(61, 553)(62, 555)(63, 460)(64, 461)(65, 561)(66, 465)(67, 524)(68, 564)(69, 463)(70, 568)(71, 464)(72, 536)(73, 521)(74, 470)(75, 571)(76, 527)(77, 559)(78, 467)(79, 509)(80, 519)(81, 574)(82, 504)(83, 469)(84, 497)(85, 580)(86, 581)(87, 471)(88, 583)(89, 472)(90, 586)(91, 588)(92, 474)(93, 518)(94, 590)(95, 592)(96, 476)(97, 481)(98, 594)(99, 565)(100, 478)(101, 492)(102, 560)(103, 597)(104, 480)(105, 525)(106, 485)(107, 550)(108, 603)(109, 483)(110, 606)(111, 548)(112, 529)(113, 599)(114, 609)(115, 517)(116, 488)(117, 554)(118, 489)(119, 546)(120, 585)(121, 495)(122, 602)(123, 616)(124, 494)(125, 600)(126, 604)(127, 618)(128, 496)(129, 570)(130, 541)(131, 620)(132, 621)(133, 607)(134, 501)(135, 505)(136, 622)(137, 503)(138, 506)(139, 510)(140, 508)(141, 511)(142, 523)(143, 513)(144, 625)(145, 627)(146, 577)(147, 610)(148, 543)(149, 557)(150, 587)(151, 567)(152, 576)(153, 630)(154, 558)(155, 522)(156, 591)(157, 579)(158, 528)(159, 575)(160, 636)(161, 573)(162, 532)(163, 531)(164, 533)(165, 563)(166, 535)(167, 638)(168, 537)(169, 598)(170, 539)(171, 619)(172, 582)(173, 551)(174, 596)(175, 623)(176, 545)(177, 637)(178, 624)(179, 640)(180, 611)(181, 552)(182, 608)(183, 595)(184, 635)(185, 556)(186, 593)(187, 562)(188, 601)(189, 566)(190, 569)(191, 615)(192, 646)(193, 647)(194, 572)(195, 648)(196, 578)(197, 584)(198, 645)(199, 612)(200, 631)(201, 589)(202, 629)(203, 617)(204, 626)(205, 639)(206, 642)(207, 605)(208, 643)(209, 613)(210, 614)(211, 632)(212, 628)(213, 641)(214, 633)(215, 634)(216, 644)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2302
Graph:: bipartite
	v = 108 e = 432 f = 288
	degree seq :: [ 6^72, 12^36 ]

E19.2301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^6, (Y3^-1 * Y2^-1)^4, Y3 * Y2 * Y3^2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650, 436, 652)(435, 651, 440, 656, 442, 658)(437, 653, 445, 661, 446, 662)(438, 654, 448, 664, 450, 666)(439, 655, 451, 667, 452, 668)(441, 657, 456, 672, 458, 674)(443, 659, 460, 676, 462, 678)(444, 660, 463, 679, 464, 680)(447, 663, 469, 685, 470, 686)(449, 665, 473, 689, 475, 691)(453, 669, 480, 696, 481, 697)(454, 670, 482, 698, 484, 700)(455, 671, 485, 701, 486, 702)(457, 673, 490, 706, 491, 707)(459, 675, 493, 709, 494, 710)(461, 677, 498, 714, 500, 716)(465, 681, 504, 720, 505, 721)(466, 682, 506, 722, 508, 724)(467, 683, 509, 725, 511, 727)(468, 684, 512, 728, 471, 687)(472, 688, 518, 734, 519, 735)(474, 690, 522, 738, 523, 739)(476, 692, 524, 740, 525, 741)(477, 693, 527, 743, 529, 745)(478, 694, 530, 746, 532, 748)(479, 695, 533, 749, 496, 712)(483, 699, 538, 754, 507, 723)(487, 703, 543, 759, 510, 726)(488, 704, 544, 760, 545, 761)(489, 705, 546, 762, 547, 763)(492, 708, 551, 767, 552, 768)(495, 711, 555, 771, 513, 729)(497, 713, 557, 773, 558, 774)(499, 715, 560, 776, 561, 777)(501, 717, 562, 778, 563, 779)(502, 718, 565, 781, 540, 756)(503, 719, 567, 783, 569, 785)(514, 730, 576, 792, 577, 793)(515, 731, 578, 794, 549, 765)(516, 732, 579, 795, 570, 786)(517, 733, 580, 796, 528, 744)(520, 736, 583, 799, 531, 747)(521, 737, 584, 800, 585, 801)(526, 742, 591, 807, 534, 750)(535, 751, 597, 813, 598, 814)(536, 752, 599, 815, 587, 803)(537, 753, 564, 780, 600, 816)(539, 755, 602, 818, 603, 819)(541, 757, 575, 791, 596, 812)(542, 758, 605, 821, 607, 823)(548, 764, 609, 825, 610, 826)(550, 766, 611, 827, 612, 828)(553, 769, 582, 798, 608, 824)(554, 770, 590, 806, 614, 830)(556, 772, 615, 831, 566, 782)(559, 775, 618, 834, 568, 784)(571, 787, 592, 808, 621, 837)(572, 788, 623, 839, 622, 838)(573, 789, 593, 809, 624, 840)(574, 790, 626, 842, 627, 843)(581, 797, 625, 841, 629, 845)(586, 802, 628, 844, 631, 847)(588, 804, 632, 848, 633, 849)(589, 805, 617, 833, 630, 846)(594, 810, 604, 820, 634, 850)(595, 811, 636, 852, 637, 853)(601, 817, 639, 855, 606, 822)(613, 829, 620, 836, 643, 859)(616, 832, 635, 851, 644, 860)(619, 835, 638, 854, 645, 861)(640, 856, 646, 862, 647, 863)(641, 857, 642, 858, 648, 864)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 449)(7, 434)(8, 454)(9, 457)(10, 451)(11, 461)(12, 436)(13, 466)(14, 467)(15, 437)(16, 471)(17, 474)(18, 463)(19, 477)(20, 478)(21, 439)(22, 483)(23, 440)(24, 488)(25, 447)(26, 485)(27, 442)(28, 496)(29, 499)(30, 445)(31, 502)(32, 503)(33, 444)(34, 507)(35, 510)(36, 446)(37, 514)(38, 515)(39, 517)(40, 448)(41, 521)(42, 453)(43, 518)(44, 450)(45, 528)(46, 531)(47, 452)(48, 535)(49, 536)(50, 464)(51, 539)(52, 493)(53, 541)(54, 542)(55, 455)(56, 473)(57, 456)(58, 548)(59, 546)(60, 458)(61, 553)(62, 554)(63, 459)(64, 556)(65, 460)(66, 489)(67, 465)(68, 557)(69, 462)(70, 566)(71, 568)(72, 492)(73, 516)(74, 570)(75, 564)(76, 512)(77, 558)(78, 574)(79, 469)(80, 524)(81, 468)(82, 475)(83, 481)(84, 470)(85, 581)(86, 575)(87, 582)(88, 472)(89, 498)(90, 586)(91, 544)(92, 589)(93, 590)(94, 476)(95, 549)(96, 495)(97, 533)(98, 486)(99, 595)(100, 480)(101, 562)(102, 479)(103, 500)(104, 505)(105, 482)(106, 592)(107, 487)(108, 484)(109, 569)(110, 606)(111, 593)(112, 494)(113, 551)(114, 563)(115, 597)(116, 538)(117, 490)(118, 491)(119, 613)(120, 599)(121, 583)(122, 591)(123, 550)(124, 616)(125, 596)(126, 617)(127, 497)(128, 619)(129, 584)(130, 607)(131, 614)(132, 501)(133, 587)(134, 526)(135, 519)(136, 601)(137, 504)(138, 560)(139, 506)(140, 508)(141, 509)(142, 513)(143, 511)(144, 612)(145, 579)(146, 624)(147, 623)(148, 621)(149, 520)(150, 627)(151, 604)(152, 525)(153, 576)(154, 580)(155, 522)(156, 523)(157, 618)(158, 600)(159, 588)(160, 527)(161, 529)(162, 530)(163, 534)(164, 532)(165, 633)(166, 578)(167, 634)(168, 620)(169, 537)(170, 622)(171, 609)(172, 540)(173, 547)(174, 635)(175, 543)(176, 545)(177, 552)(178, 611)(179, 631)(180, 626)(181, 639)(182, 555)(183, 571)(184, 559)(185, 637)(186, 572)(187, 615)(188, 561)(189, 565)(190, 567)(191, 646)(192, 647)(193, 573)(194, 648)(195, 602)(196, 577)(197, 628)(198, 585)(199, 632)(200, 645)(201, 636)(202, 640)(203, 594)(204, 641)(205, 625)(206, 598)(207, 642)(208, 603)(209, 605)(210, 608)(211, 610)(212, 638)(213, 643)(214, 629)(215, 644)(216, 630)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2299
Graph:: simple bipartite
	v = 288 e = 432 f = 108
	degree seq :: [ 2^216, 6^72 ]

E19.2302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2)^3, Y3^6, (Y3^-1 * Y2^-1)^4, Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1, Y3^2 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3, Y3^2 * Y2 * Y3^-3 * Y2 * Y3^2 * Y2^-1, (Y3^-1 * Y1^-1)^6, Y2 * Y3^2 * Y2 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y2 * Y3^2 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650, 436, 652)(435, 651, 440, 656, 442, 658)(437, 653, 445, 661, 446, 662)(438, 654, 448, 664, 450, 666)(439, 655, 451, 667, 452, 668)(441, 657, 456, 672, 458, 674)(443, 659, 460, 676, 462, 678)(444, 660, 463, 679, 464, 680)(447, 663, 469, 685, 470, 686)(449, 665, 473, 689, 475, 691)(453, 669, 480, 696, 481, 697)(454, 670, 482, 698, 484, 700)(455, 671, 485, 701, 486, 702)(457, 673, 490, 706, 491, 707)(459, 675, 493, 709, 494, 710)(461, 677, 498, 714, 500, 716)(465, 681, 504, 720, 505, 721)(466, 682, 506, 722, 508, 724)(467, 683, 509, 725, 511, 727)(468, 684, 512, 728, 471, 687)(472, 688, 518, 734, 519, 735)(474, 690, 523, 739, 524, 740)(476, 692, 526, 742, 527, 743)(477, 693, 529, 745, 531, 747)(478, 694, 532, 748, 534, 750)(479, 695, 535, 751, 496, 712)(483, 699, 541, 757, 543, 759)(487, 703, 547, 763, 548, 764)(488, 704, 517, 733, 549, 765)(489, 705, 550, 766, 551, 767)(492, 708, 554, 770, 555, 771)(495, 711, 558, 774, 559, 775)(497, 713, 561, 777, 562, 778)(499, 715, 565, 781, 545, 761)(501, 717, 567, 783, 542, 758)(502, 718, 569, 785, 544, 760)(503, 719, 571, 787, 552, 768)(507, 723, 574, 790, 556, 772)(510, 726, 525, 741, 577, 793)(513, 729, 539, 755, 578, 794)(514, 730, 520, 736, 579, 795)(515, 731, 580, 796, 553, 769)(516, 732, 581, 797, 540, 756)(521, 737, 560, 776, 583, 799)(522, 738, 584, 800, 585, 801)(528, 744, 589, 805, 590, 806)(530, 746, 591, 807, 587, 803)(533, 749, 566, 782, 594, 810)(536, 752, 573, 789, 595, 811)(537, 753, 563, 779, 596, 812)(538, 754, 597, 813, 586, 802)(546, 762, 601, 817, 603, 819)(557, 773, 608, 824, 605, 821)(564, 780, 600, 816, 613, 829)(568, 784, 604, 820, 617, 833)(570, 786, 618, 834, 615, 831)(572, 788, 620, 836, 614, 830)(575, 791, 623, 839, 624, 840)(576, 792, 626, 842, 627, 843)(582, 798, 632, 848, 630, 846)(588, 804, 635, 851, 634, 850)(592, 808, 629, 845, 602, 818)(593, 809, 611, 827, 639, 855)(598, 814, 616, 832, 628, 844)(599, 815, 640, 856, 633, 849)(606, 822, 631, 847, 641, 857)(607, 823, 643, 859, 619, 835)(609, 825, 625, 841, 638, 854)(610, 826, 644, 860, 637, 853)(612, 828, 645, 861, 621, 837)(622, 838, 646, 862, 642, 858)(636, 852, 648, 864, 647, 863)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 449)(7, 434)(8, 454)(9, 457)(10, 451)(11, 461)(12, 436)(13, 466)(14, 467)(15, 437)(16, 471)(17, 474)(18, 463)(19, 477)(20, 478)(21, 439)(22, 483)(23, 440)(24, 488)(25, 447)(26, 485)(27, 442)(28, 496)(29, 499)(30, 445)(31, 502)(32, 503)(33, 444)(34, 507)(35, 510)(36, 446)(37, 514)(38, 515)(39, 517)(40, 448)(41, 521)(42, 453)(43, 518)(44, 450)(45, 530)(46, 533)(47, 452)(48, 537)(49, 538)(50, 464)(51, 542)(52, 493)(53, 545)(54, 546)(55, 455)(56, 539)(57, 456)(58, 552)(59, 550)(60, 458)(61, 557)(62, 520)(63, 459)(64, 560)(65, 460)(66, 543)(67, 465)(68, 561)(69, 462)(70, 570)(71, 555)(72, 548)(73, 572)(74, 540)(75, 568)(76, 512)(77, 562)(78, 529)(79, 469)(80, 526)(81, 468)(82, 558)(83, 564)(84, 470)(85, 494)(86, 491)(87, 582)(88, 472)(89, 573)(90, 473)(91, 511)(92, 584)(93, 475)(94, 588)(95, 563)(96, 476)(97, 513)(98, 495)(99, 535)(100, 486)(101, 569)(102, 480)(103, 567)(104, 479)(105, 589)(106, 489)(107, 481)(108, 482)(109, 594)(110, 487)(111, 516)(112, 484)(113, 600)(114, 602)(115, 595)(116, 604)(117, 554)(118, 587)(119, 606)(120, 504)(121, 490)(122, 607)(123, 506)(124, 492)(125, 609)(126, 586)(127, 610)(128, 527)(129, 524)(130, 612)(131, 497)(132, 498)(133, 534)(134, 500)(135, 616)(136, 501)(137, 536)(138, 528)(139, 519)(140, 522)(141, 505)(142, 621)(143, 508)(144, 509)(145, 626)(146, 629)(147, 581)(148, 627)(149, 623)(150, 633)(151, 577)(152, 615)(153, 631)(154, 523)(155, 525)(156, 625)(157, 614)(158, 636)(159, 603)(160, 531)(161, 532)(162, 611)(163, 640)(164, 578)(165, 639)(166, 541)(167, 544)(168, 556)(169, 551)(170, 608)(171, 547)(172, 553)(173, 549)(174, 620)(175, 590)(176, 593)(177, 599)(178, 598)(179, 559)(180, 624)(181, 641)(182, 565)(183, 566)(184, 638)(185, 646)(186, 630)(187, 571)(188, 643)(189, 596)(190, 574)(191, 647)(192, 628)(193, 575)(194, 617)(195, 644)(196, 576)(197, 622)(198, 579)(199, 580)(200, 585)(201, 635)(202, 583)(203, 619)(204, 605)(205, 591)(206, 592)(207, 648)(208, 637)(209, 597)(210, 601)(211, 642)(212, 632)(213, 613)(214, 634)(215, 618)(216, 645)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2300
Graph:: simple bipartite
	v = 288 e = 432 f = 108
	degree seq :: [ 2^216, 6^72 ]

E19.2303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^3, Y1^6, (Y3^-1 * Y1)^4, Y1^2 * Y3^-1 * Y1^2 * Y3 * Y1^-2 * Y3, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 16, 232, 12, 228, 4, 220)(3, 219, 9, 225, 23, 239, 54, 270, 27, 243, 10, 226)(5, 221, 14, 230, 34, 250, 76, 292, 38, 254, 15, 231)(7, 223, 19, 235, 45, 261, 95, 311, 47, 263, 20, 236)(8, 224, 21, 237, 49, 265, 101, 317, 53, 269, 22, 238)(11, 227, 29, 245, 64, 280, 126, 342, 68, 284, 30, 246)(13, 229, 33, 249, 73, 289, 114, 330, 57, 273, 24, 240)(17, 233, 41, 257, 89, 305, 121, 337, 62, 278, 42, 258)(18, 234, 43, 259, 78, 294, 112, 328, 56, 272, 44, 260)(25, 241, 58, 274, 116, 332, 179, 395, 119, 335, 59, 275)(26, 242, 60, 276, 120, 336, 170, 386, 104, 320, 51, 267)(28, 244, 63, 279, 124, 340, 142, 358, 79, 295, 35, 251)(31, 247, 70, 286, 83, 299, 123, 339, 61, 277, 71, 287)(32, 248, 72, 288, 77, 293, 140, 356, 127, 343, 65, 281)(36, 252, 67, 283, 129, 345, 190, 406, 144, 360, 80, 296)(37, 253, 81, 297, 145, 361, 196, 412, 147, 363, 82, 298)(39, 255, 85, 301, 113, 329, 162, 378, 99, 315, 86, 302)(40, 256, 87, 303, 102, 318, 160, 376, 97, 313, 88, 304)(46, 262, 98, 314, 161, 377, 194, 410, 138, 354, 93, 309)(48, 264, 100, 316, 164, 380, 168, 384, 103, 319, 50, 266)(52, 268, 105, 321, 171, 387, 205, 421, 173, 389, 106, 322)(55, 271, 110, 326, 152, 368, 146, 362, 84, 300, 111, 327)(66, 282, 118, 334, 181, 397, 210, 426, 189, 405, 128, 344)(69, 285, 130, 346, 191, 407, 182, 398, 136, 352, 74, 290)(75, 291, 132, 348, 109, 325, 176, 392, 180, 396, 137, 353)(90, 306, 153, 369, 199, 415, 204, 420, 166, 382, 151, 367)(91, 307, 154, 370, 200, 416, 201, 417, 155, 371, 92, 308)(94, 310, 156, 372, 202, 418, 216, 432, 203, 419, 157, 373)(96, 312, 117, 333, 115, 331, 172, 388, 107, 323, 159, 375)(108, 324, 174, 390, 141, 357, 163, 379, 169, 385, 175, 391)(122, 338, 143, 359, 165, 381, 186, 402, 167, 383, 183, 399)(125, 341, 184, 400, 139, 355, 195, 411, 158, 374, 185, 401)(131, 347, 188, 404, 212, 428, 209, 425, 207, 423, 177, 393)(133, 349, 192, 408, 214, 430, 213, 429, 193, 409, 134, 350)(135, 351, 148, 364, 187, 403, 211, 427, 208, 424, 178, 394)(149, 365, 197, 413, 215, 431, 206, 422, 198, 414, 150, 366)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 437)(4, 443)(5, 433)(6, 449)(7, 440)(8, 434)(9, 456)(10, 458)(11, 445)(12, 463)(13, 436)(14, 467)(15, 469)(16, 471)(17, 450)(18, 438)(19, 447)(20, 478)(21, 482)(22, 484)(23, 487)(24, 457)(25, 441)(26, 460)(27, 493)(28, 442)(29, 497)(30, 499)(31, 464)(32, 444)(33, 506)(34, 509)(35, 468)(36, 446)(37, 451)(38, 515)(39, 472)(40, 448)(41, 454)(42, 522)(43, 524)(44, 526)(45, 528)(46, 480)(47, 500)(48, 452)(49, 505)(50, 483)(51, 453)(52, 473)(53, 496)(54, 540)(55, 488)(56, 455)(57, 545)(58, 549)(59, 550)(60, 553)(61, 494)(62, 459)(63, 535)(64, 539)(65, 498)(66, 461)(67, 501)(68, 531)(69, 462)(70, 520)(71, 564)(72, 566)(73, 534)(74, 507)(75, 465)(76, 570)(77, 510)(78, 466)(79, 573)(80, 575)(81, 578)(82, 490)(83, 516)(84, 470)(85, 476)(86, 580)(87, 582)(88, 563)(89, 584)(90, 523)(91, 474)(92, 525)(93, 475)(94, 517)(95, 590)(96, 529)(97, 477)(98, 594)(99, 479)(100, 587)(101, 598)(102, 481)(103, 557)(104, 601)(105, 604)(106, 513)(107, 485)(108, 541)(109, 486)(110, 491)(111, 609)(112, 610)(113, 547)(114, 536)(115, 489)(116, 556)(117, 514)(118, 542)(119, 552)(120, 614)(121, 554)(122, 492)(123, 616)(124, 612)(125, 495)(126, 618)(127, 521)(128, 620)(129, 527)(130, 511)(131, 502)(132, 565)(133, 503)(134, 567)(135, 504)(136, 615)(137, 617)(138, 571)(139, 508)(140, 512)(141, 562)(142, 579)(143, 572)(144, 577)(145, 596)(146, 538)(147, 593)(148, 581)(149, 518)(150, 583)(151, 519)(152, 559)(153, 555)(154, 630)(155, 597)(156, 543)(157, 537)(158, 561)(159, 560)(160, 569)(161, 574)(162, 595)(163, 530)(164, 576)(165, 532)(166, 599)(167, 533)(168, 605)(169, 546)(170, 603)(171, 632)(172, 589)(173, 631)(174, 544)(175, 586)(176, 638)(177, 588)(178, 606)(179, 641)(180, 548)(181, 623)(182, 551)(183, 624)(184, 585)(185, 592)(186, 619)(187, 558)(188, 591)(189, 622)(190, 645)(191, 640)(192, 568)(193, 627)(194, 634)(195, 629)(196, 642)(197, 625)(198, 607)(199, 600)(200, 602)(201, 635)(202, 647)(203, 643)(204, 644)(205, 611)(206, 639)(207, 608)(208, 613)(209, 637)(210, 648)(211, 633)(212, 646)(213, 621)(214, 636)(215, 626)(216, 628)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 6 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2298
Graph:: simple bipartite
	v = 252 e = 432 f = 144
	degree seq :: [ 2^216, 12^36 ]

E19.2304 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = C2 x (((C3 x C3) : C3) : C4) (small group id <216, 100>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^4, T1^-2 * T2 * T1^4 * T2 * T1^-2, (T2 * T1 * T2 * T1^-1)^3, (T1^-1 * T2 * T1 * T2)^3, T1^12, T1^-1 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1 * T2 * T1^-2, T2 * T1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 80, 79, 44, 22, 10, 4)(3, 7, 15, 31, 46, 82, 133, 117, 70, 37, 18, 8)(6, 13, 27, 53, 81, 132, 130, 78, 43, 58, 30, 14)(9, 19, 38, 48, 24, 47, 83, 135, 125, 75, 40, 20)(12, 25, 49, 86, 131, 129, 77, 42, 21, 41, 52, 26)(16, 33, 62, 107, 134, 85, 138, 116, 69, 110, 64, 34)(17, 35, 65, 102, 59, 101, 160, 100, 155, 95, 55, 28)(29, 56, 96, 149, 91, 148, 127, 76, 126, 143, 88, 50)(32, 60, 103, 162, 186, 177, 115, 68, 36, 67, 106, 61)(39, 72, 120, 137, 84, 51, 89, 144, 124, 139, 121, 73)(54, 92, 150, 201, 185, 210, 159, 99, 57, 98, 153, 93)(63, 97, 157, 207, 167, 200, 152, 114, 175, 195, 164, 104)(66, 112, 173, 189, 161, 105, 165, 196, 154, 205, 174, 113)(71, 118, 178, 188, 136, 187, 182, 123, 74, 122, 180, 119)(87, 140, 191, 184, 128, 183, 199, 147, 90, 146, 194, 141)(94, 145, 197, 172, 111, 171, 193, 158, 208, 181, 203, 151)(108, 168, 192, 142, 190, 179, 206, 156, 109, 170, 198, 169)(163, 202, 214, 213, 176, 209, 216, 212, 166, 204, 215, 211)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 59)(34, 63)(35, 66)(37, 69)(38, 71)(40, 74)(41, 76)(42, 72)(44, 70)(45, 81)(47, 84)(48, 85)(49, 87)(52, 90)(53, 91)(55, 94)(56, 97)(58, 100)(60, 104)(61, 105)(62, 108)(64, 109)(65, 111)(67, 114)(68, 112)(73, 113)(75, 124)(77, 128)(78, 126)(79, 125)(80, 131)(82, 134)(83, 136)(86, 139)(88, 142)(89, 145)(92, 151)(93, 152)(95, 154)(96, 156)(98, 158)(99, 157)(101, 161)(102, 132)(103, 163)(106, 166)(107, 167)(110, 135)(115, 176)(116, 175)(117, 155)(118, 174)(119, 179)(120, 181)(121, 171)(122, 165)(123, 168)(127, 169)(129, 149)(130, 185)(133, 186)(137, 189)(138, 190)(140, 192)(141, 193)(143, 195)(144, 196)(146, 198)(147, 197)(148, 200)(150, 202)(153, 204)(159, 209)(160, 208)(162, 205)(164, 201)(170, 188)(172, 210)(173, 187)(177, 207)(178, 211)(180, 212)(182, 213)(183, 206)(184, 203)(191, 214)(194, 215)(199, 216)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2305
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 108 f = 54
	degree seq :: [ 12^18 ]

E19.2305 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = C2 x (((C3 x C3) : C3) : C4) (small group id <216, 100>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T2 * T1^-1 * T2 * T1)^3, T1^2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1 * T2, T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 79, 49)(30, 50, 81, 51)(32, 53, 86, 54)(33, 55, 89, 56)(34, 57, 92, 58)(42, 69, 110, 70)(43, 63, 100, 71)(45, 73, 116, 74)(46, 75, 118, 76)(47, 77, 121, 78)(52, 84, 131, 85)(60, 96, 149, 97)(61, 90, 139, 98)(64, 101, 156, 102)(66, 104, 134, 105)(67, 106, 138, 107)(68, 108, 132, 109)(72, 114, 133, 115)(80, 125, 177, 126)(82, 128, 137, 88)(83, 129, 179, 130)(87, 135, 181, 136)(91, 140, 186, 141)(93, 143, 124, 144)(94, 145, 127, 146)(95, 147, 122, 148)(99, 153, 123, 154)(103, 142, 180, 159)(111, 150, 182, 167)(112, 162, 201, 168)(113, 169, 193, 170)(117, 151, 191, 174)(119, 152, 196, 161)(120, 158, 188, 176)(155, 183, 172, 199)(157, 184, 208, 190)(160, 195, 210, 197)(163, 189, 207, 202)(164, 187, 173, 203)(165, 204, 175, 192)(166, 200, 171, 194)(178, 198, 209, 185)(205, 211, 215, 214)(206, 212, 216, 213)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 72)(48, 80)(49, 74)(50, 82)(51, 83)(53, 87)(54, 88)(55, 90)(56, 91)(57, 93)(58, 94)(59, 95)(62, 99)(65, 103)(69, 111)(70, 112)(71, 113)(73, 117)(75, 119)(76, 120)(77, 122)(78, 123)(79, 124)(81, 127)(84, 132)(85, 133)(86, 134)(89, 138)(92, 142)(96, 150)(97, 151)(98, 152)(100, 155)(101, 157)(102, 158)(104, 160)(105, 161)(106, 162)(107, 163)(108, 164)(109, 165)(110, 166)(114, 171)(115, 172)(116, 173)(118, 175)(121, 159)(125, 167)(126, 178)(128, 168)(129, 170)(130, 176)(131, 180)(135, 182)(136, 183)(137, 184)(139, 185)(140, 187)(141, 188)(143, 189)(144, 190)(145, 191)(146, 192)(147, 193)(148, 194)(149, 195)(153, 197)(154, 198)(156, 200)(169, 205)(174, 206)(177, 204)(179, 202)(181, 207)(186, 210)(196, 211)(199, 212)(201, 213)(203, 214)(208, 215)(209, 216)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2304
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 54 e = 108 f = 18
	degree seq :: [ 4^54 ]

E19.2306 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = C2 x (((C3 x C3) : C3) : C4) (small group id <216, 100>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2)^3, T2^2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 70, 43)(28, 47, 78, 48)(30, 50, 82, 51)(31, 52, 85, 53)(33, 55, 89, 56)(36, 60, 97, 61)(38, 63, 101, 64)(41, 68, 109, 69)(44, 72, 115, 73)(46, 75, 119, 76)(49, 79, 125, 80)(54, 87, 137, 88)(57, 91, 143, 92)(59, 94, 147, 95)(62, 98, 153, 99)(65, 103, 159, 104)(67, 106, 162, 107)(71, 112, 170, 113)(74, 117, 174, 118)(77, 121, 177, 122)(81, 127, 173, 116)(83, 129, 179, 130)(84, 131, 180, 132)(86, 134, 183, 135)(90, 140, 191, 141)(93, 145, 195, 146)(96, 149, 198, 150)(100, 155, 194, 144)(102, 157, 200, 158)(105, 160, 124, 161)(108, 163, 123, 164)(110, 165, 128, 166)(111, 167, 126, 168)(114, 171, 205, 172)(120, 175, 206, 176)(133, 181, 152, 182)(136, 184, 151, 185)(138, 186, 156, 187)(139, 188, 154, 189)(142, 192, 211, 193)(148, 196, 212, 197)(169, 204, 214, 202)(178, 203, 213, 201)(190, 210, 216, 208)(199, 209, 215, 207)(217, 218)(219, 223)(220, 225)(221, 226)(222, 228)(224, 231)(227, 236)(229, 239)(230, 241)(232, 244)(233, 246)(234, 247)(235, 249)(237, 252)(238, 254)(240, 257)(242, 260)(243, 262)(245, 265)(248, 270)(250, 273)(251, 275)(253, 278)(255, 281)(256, 283)(258, 271)(259, 287)(261, 290)(263, 293)(264, 277)(266, 297)(267, 299)(268, 300)(269, 302)(272, 306)(274, 309)(276, 312)(279, 316)(280, 318)(282, 321)(284, 324)(285, 326)(286, 327)(288, 330)(289, 332)(291, 322)(292, 336)(294, 339)(295, 340)(296, 342)(298, 344)(301, 349)(303, 352)(304, 354)(305, 355)(307, 358)(308, 360)(310, 350)(311, 364)(313, 367)(314, 368)(315, 370)(317, 372)(319, 347)(320, 365)(323, 371)(325, 361)(328, 385)(329, 373)(331, 359)(333, 353)(334, 369)(335, 363)(337, 348)(338, 394)(341, 362)(343, 351)(345, 357)(346, 374)(356, 406)(366, 415)(375, 408)(376, 407)(377, 398)(378, 417)(379, 412)(380, 418)(381, 414)(382, 403)(383, 409)(384, 419)(386, 397)(387, 396)(388, 404)(389, 420)(390, 411)(391, 400)(392, 416)(393, 402)(395, 413)(399, 423)(401, 424)(405, 425)(410, 426)(421, 428)(422, 427)(429, 431)(430, 432)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2310
Transitivity :: ET+
Graph:: simple bipartite
	v = 162 e = 216 f = 18
	degree seq :: [ 2^108, 4^54 ]

E19.2307 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = C2 x (((C3 x C3) : C3) : C4) (small group id <216, 100>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2^-1 * T1^3 * T2^-1, T1 * T2 * T1^-2 * T2 * T1 * T2^2, T2^2 * T1^-1 * T2^-5 * T1^-1 * T2, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1, T2^3 * T1^-1 * T2^7 * T1^-1, T1 * T2^-2 * T1 * T2^-3 * T1^-2 * T2^-3, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1^-1, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 107, 172, 91, 68, 32, 14, 5)(2, 7, 17, 38, 80, 53, 109, 147, 92, 44, 20, 8)(4, 12, 27, 58, 108, 137, 132, 67, 100, 48, 22, 9)(6, 15, 33, 70, 136, 81, 155, 99, 148, 76, 36, 16)(11, 26, 55, 113, 183, 131, 66, 31, 65, 104, 50, 23)(13, 29, 61, 106, 51, 25, 54, 110, 169, 128, 64, 30)(18, 40, 83, 159, 105, 171, 90, 43, 89, 152, 78, 37)(19, 41, 85, 154, 79, 39, 82, 156, 197, 168, 88, 42)(21, 45, 93, 173, 118, 59, 119, 181, 129, 174, 96, 46)(28, 60, 120, 187, 192, 177, 98, 47, 97, 175, 117, 57)(34, 72, 139, 195, 153, 198, 146, 75, 145, 191, 134, 69)(35, 73, 141, 193, 135, 71, 138, 194, 176, 196, 144, 74)(49, 101, 142, 127, 186, 114, 133, 122, 62, 124, 178, 102)(56, 115, 143, 130, 190, 210, 180, 103, 179, 209, 185, 112)(63, 125, 189, 211, 182, 123, 188, 212, 184, 111, 140, 126)(77, 149, 94, 167, 205, 160, 116, 162, 86, 164, 199, 150)(84, 161, 95, 170, 208, 214, 201, 151, 200, 213, 204, 158)(87, 165, 207, 215, 202, 163, 206, 216, 203, 157, 121, 166)(217, 218, 222, 220)(219, 225, 237, 227)(221, 229, 234, 223)(224, 235, 250, 231)(226, 239, 265, 241)(228, 232, 251, 244)(230, 247, 278, 245)(233, 253, 293, 255)(236, 259, 302, 257)(238, 263, 310, 261)(240, 267, 321, 269)(242, 262, 311, 272)(243, 273, 332, 275)(246, 279, 300, 256)(248, 283, 345, 281)(249, 285, 349, 287)(252, 291, 358, 289)(254, 295, 369, 297)(258, 303, 356, 288)(260, 307, 385, 305)(264, 315, 392, 313)(266, 319, 357, 317)(268, 296, 352, 324)(270, 318, 355, 327)(271, 328, 354, 330)(274, 334, 399, 323)(276, 290, 359, 337)(277, 338, 350, 339)(280, 343, 362, 341)(282, 346, 360, 340)(284, 308, 364, 316)(286, 351, 408, 353)(292, 363, 413, 361)(294, 367, 309, 365)(298, 366, 336, 373)(299, 374, 335, 376)(301, 378, 333, 379)(304, 383, 314, 381)(306, 386, 312, 380)(320, 397, 420, 395)(322, 398, 424, 387)(325, 375, 421, 384)(326, 400, 416, 368)(329, 402, 344, 388)(331, 377, 342, 382)(347, 389, 417, 406)(348, 403, 415, 390)(370, 418, 405, 414)(371, 411, 394, 412)(372, 419, 404, 407)(391, 410, 401, 422)(393, 409, 396, 423)(425, 429, 428, 432)(426, 430, 427, 431)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2311
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 216 f = 108
	degree seq :: [ 4^54, 12^18 ]

E19.2308 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = C2 x (((C3 x C3) : C3) : C4) (small group id <216, 100>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^4, T1^-2 * T2 * T1^4 * T2 * T1^-2, (T2 * T1 * T2 * T1^-1)^3, (T1^-1 * T2 * T1 * T2)^3, T1^12, T1^-1 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1 * T2 * T1^-2, T2 * T1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 59)(34, 63)(35, 66)(37, 69)(38, 71)(40, 74)(41, 76)(42, 72)(44, 70)(45, 81)(47, 84)(48, 85)(49, 87)(52, 90)(53, 91)(55, 94)(56, 97)(58, 100)(60, 104)(61, 105)(62, 108)(64, 109)(65, 111)(67, 114)(68, 112)(73, 113)(75, 124)(77, 128)(78, 126)(79, 125)(80, 131)(82, 134)(83, 136)(86, 139)(88, 142)(89, 145)(92, 151)(93, 152)(95, 154)(96, 156)(98, 158)(99, 157)(101, 161)(102, 132)(103, 163)(106, 166)(107, 167)(110, 135)(115, 176)(116, 175)(117, 155)(118, 174)(119, 179)(120, 181)(121, 171)(122, 165)(123, 168)(127, 169)(129, 149)(130, 185)(133, 186)(137, 189)(138, 190)(140, 192)(141, 193)(143, 195)(144, 196)(146, 198)(147, 197)(148, 200)(150, 202)(153, 204)(159, 209)(160, 208)(162, 205)(164, 201)(170, 188)(172, 210)(173, 187)(177, 207)(178, 211)(180, 212)(182, 213)(183, 206)(184, 203)(191, 214)(194, 215)(199, 216)(217, 218, 221, 227, 239, 261, 296, 295, 260, 238, 226, 220)(219, 223, 231, 247, 262, 298, 349, 333, 286, 253, 234, 224)(222, 229, 243, 269, 297, 348, 346, 294, 259, 274, 246, 230)(225, 235, 254, 264, 240, 263, 299, 351, 341, 291, 256, 236)(228, 241, 265, 302, 347, 345, 293, 258, 237, 257, 268, 242)(232, 249, 278, 323, 350, 301, 354, 332, 285, 326, 280, 250)(233, 251, 281, 318, 275, 317, 376, 316, 371, 311, 271, 244)(245, 272, 312, 365, 307, 364, 343, 292, 342, 359, 304, 266)(248, 276, 319, 378, 402, 393, 331, 284, 252, 283, 322, 277)(255, 288, 336, 353, 300, 267, 305, 360, 340, 355, 337, 289)(270, 308, 366, 417, 401, 426, 375, 315, 273, 314, 369, 309)(279, 313, 373, 423, 383, 416, 368, 330, 391, 411, 380, 320)(282, 328, 389, 405, 377, 321, 381, 412, 370, 421, 390, 329)(287, 334, 394, 404, 352, 403, 398, 339, 290, 338, 396, 335)(303, 356, 407, 400, 344, 399, 415, 363, 306, 362, 410, 357)(310, 361, 413, 388, 327, 387, 409, 374, 424, 397, 419, 367)(324, 384, 408, 358, 406, 395, 422, 372, 325, 386, 414, 385)(379, 418, 430, 429, 392, 425, 432, 428, 382, 420, 431, 427)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2309
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 54
	degree seq :: [ 2^108, 12^18 ]

E19.2309 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = C2 x (((C3 x C3) : C3) : C4) (small group id <216, 100>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2)^3, T2^2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 217, 3, 219, 8, 224, 4, 220)(2, 218, 5, 221, 11, 227, 6, 222)(7, 223, 13, 229, 24, 240, 14, 230)(9, 225, 16, 232, 29, 245, 17, 233)(10, 226, 18, 234, 32, 248, 19, 235)(12, 228, 21, 237, 37, 253, 22, 238)(15, 231, 26, 242, 45, 261, 27, 243)(20, 236, 34, 250, 58, 274, 35, 251)(23, 239, 39, 255, 66, 282, 40, 256)(25, 241, 42, 258, 70, 286, 43, 259)(28, 244, 47, 263, 78, 294, 48, 264)(30, 246, 50, 266, 82, 298, 51, 267)(31, 247, 52, 268, 85, 301, 53, 269)(33, 249, 55, 271, 89, 305, 56, 272)(36, 252, 60, 276, 97, 313, 61, 277)(38, 254, 63, 279, 101, 317, 64, 280)(41, 257, 68, 284, 109, 325, 69, 285)(44, 260, 72, 288, 115, 331, 73, 289)(46, 262, 75, 291, 119, 335, 76, 292)(49, 265, 79, 295, 125, 341, 80, 296)(54, 270, 87, 303, 137, 353, 88, 304)(57, 273, 91, 307, 143, 359, 92, 308)(59, 275, 94, 310, 147, 363, 95, 311)(62, 278, 98, 314, 153, 369, 99, 315)(65, 281, 103, 319, 159, 375, 104, 320)(67, 283, 106, 322, 162, 378, 107, 323)(71, 287, 112, 328, 170, 386, 113, 329)(74, 290, 117, 333, 174, 390, 118, 334)(77, 293, 121, 337, 177, 393, 122, 338)(81, 297, 127, 343, 173, 389, 116, 332)(83, 299, 129, 345, 179, 395, 130, 346)(84, 300, 131, 347, 180, 396, 132, 348)(86, 302, 134, 350, 183, 399, 135, 351)(90, 306, 140, 356, 191, 407, 141, 357)(93, 309, 145, 361, 195, 411, 146, 362)(96, 312, 149, 365, 198, 414, 150, 366)(100, 316, 155, 371, 194, 410, 144, 360)(102, 318, 157, 373, 200, 416, 158, 374)(105, 321, 160, 376, 124, 340, 161, 377)(108, 324, 163, 379, 123, 339, 164, 380)(110, 326, 165, 381, 128, 344, 166, 382)(111, 327, 167, 383, 126, 342, 168, 384)(114, 330, 171, 387, 205, 421, 172, 388)(120, 336, 175, 391, 206, 422, 176, 392)(133, 349, 181, 397, 152, 368, 182, 398)(136, 352, 184, 400, 151, 367, 185, 401)(138, 354, 186, 402, 156, 372, 187, 403)(139, 355, 188, 404, 154, 370, 189, 405)(142, 358, 192, 408, 211, 427, 193, 409)(148, 364, 196, 412, 212, 428, 197, 413)(169, 385, 204, 420, 214, 430, 202, 418)(178, 394, 203, 419, 213, 429, 201, 417)(190, 406, 210, 426, 216, 432, 208, 424)(199, 415, 209, 425, 215, 431, 207, 423)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 226)(6, 228)(7, 219)(8, 231)(9, 220)(10, 221)(11, 236)(12, 222)(13, 239)(14, 241)(15, 224)(16, 244)(17, 246)(18, 247)(19, 249)(20, 227)(21, 252)(22, 254)(23, 229)(24, 257)(25, 230)(26, 260)(27, 262)(28, 232)(29, 265)(30, 233)(31, 234)(32, 270)(33, 235)(34, 273)(35, 275)(36, 237)(37, 278)(38, 238)(39, 281)(40, 283)(41, 240)(42, 271)(43, 287)(44, 242)(45, 290)(46, 243)(47, 293)(48, 277)(49, 245)(50, 297)(51, 299)(52, 300)(53, 302)(54, 248)(55, 258)(56, 306)(57, 250)(58, 309)(59, 251)(60, 312)(61, 264)(62, 253)(63, 316)(64, 318)(65, 255)(66, 321)(67, 256)(68, 324)(69, 326)(70, 327)(71, 259)(72, 330)(73, 332)(74, 261)(75, 322)(76, 336)(77, 263)(78, 339)(79, 340)(80, 342)(81, 266)(82, 344)(83, 267)(84, 268)(85, 349)(86, 269)(87, 352)(88, 354)(89, 355)(90, 272)(91, 358)(92, 360)(93, 274)(94, 350)(95, 364)(96, 276)(97, 367)(98, 368)(99, 370)(100, 279)(101, 372)(102, 280)(103, 347)(104, 365)(105, 282)(106, 291)(107, 371)(108, 284)(109, 361)(110, 285)(111, 286)(112, 385)(113, 373)(114, 288)(115, 359)(116, 289)(117, 353)(118, 369)(119, 363)(120, 292)(121, 348)(122, 394)(123, 294)(124, 295)(125, 362)(126, 296)(127, 351)(128, 298)(129, 357)(130, 374)(131, 319)(132, 337)(133, 301)(134, 310)(135, 343)(136, 303)(137, 333)(138, 304)(139, 305)(140, 406)(141, 345)(142, 307)(143, 331)(144, 308)(145, 325)(146, 341)(147, 335)(148, 311)(149, 320)(150, 415)(151, 313)(152, 314)(153, 334)(154, 315)(155, 323)(156, 317)(157, 329)(158, 346)(159, 408)(160, 407)(161, 398)(162, 417)(163, 412)(164, 418)(165, 414)(166, 403)(167, 409)(168, 419)(169, 328)(170, 397)(171, 396)(172, 404)(173, 420)(174, 411)(175, 400)(176, 416)(177, 402)(178, 338)(179, 413)(180, 387)(181, 386)(182, 377)(183, 423)(184, 391)(185, 424)(186, 393)(187, 382)(188, 388)(189, 425)(190, 356)(191, 376)(192, 375)(193, 383)(194, 426)(195, 390)(196, 379)(197, 395)(198, 381)(199, 366)(200, 392)(201, 378)(202, 380)(203, 384)(204, 389)(205, 428)(206, 427)(207, 399)(208, 401)(209, 405)(210, 410)(211, 422)(212, 421)(213, 431)(214, 432)(215, 429)(216, 430)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2308
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 54 e = 216 f = 126
	degree seq :: [ 8^54 ]

E19.2310 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = C2 x (((C3 x C3) : C3) : C4) (small group id <216, 100>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2^-1 * T1^3 * T2^-1, T1 * T2 * T1^-2 * T2 * T1 * T2^2, T2^2 * T1^-1 * T2^-5 * T1^-1 * T2, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1, T2^3 * T1^-1 * T2^7 * T1^-1, T1 * T2^-2 * T1 * T2^-3 * T1^-2 * T2^-3, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1^-1, (T2 * T1^-1)^6 ]
Map::
	R = (1, 217, 3, 219, 10, 226, 24, 240, 52, 268, 107, 323, 172, 388, 91, 307, 68, 284, 32, 248, 14, 230, 5, 221)(2, 218, 7, 223, 17, 233, 38, 254, 80, 296, 53, 269, 109, 325, 147, 363, 92, 308, 44, 260, 20, 236, 8, 224)(4, 220, 12, 228, 27, 243, 58, 274, 108, 324, 137, 353, 132, 348, 67, 283, 100, 316, 48, 264, 22, 238, 9, 225)(6, 222, 15, 231, 33, 249, 70, 286, 136, 352, 81, 297, 155, 371, 99, 315, 148, 364, 76, 292, 36, 252, 16, 232)(11, 227, 26, 242, 55, 271, 113, 329, 183, 399, 131, 347, 66, 282, 31, 247, 65, 281, 104, 320, 50, 266, 23, 239)(13, 229, 29, 245, 61, 277, 106, 322, 51, 267, 25, 241, 54, 270, 110, 326, 169, 385, 128, 344, 64, 280, 30, 246)(18, 234, 40, 256, 83, 299, 159, 375, 105, 321, 171, 387, 90, 306, 43, 259, 89, 305, 152, 368, 78, 294, 37, 253)(19, 235, 41, 257, 85, 301, 154, 370, 79, 295, 39, 255, 82, 298, 156, 372, 197, 413, 168, 384, 88, 304, 42, 258)(21, 237, 45, 261, 93, 309, 173, 389, 118, 334, 59, 275, 119, 335, 181, 397, 129, 345, 174, 390, 96, 312, 46, 262)(28, 244, 60, 276, 120, 336, 187, 403, 192, 408, 177, 393, 98, 314, 47, 263, 97, 313, 175, 391, 117, 333, 57, 273)(34, 250, 72, 288, 139, 355, 195, 411, 153, 369, 198, 414, 146, 362, 75, 291, 145, 361, 191, 407, 134, 350, 69, 285)(35, 251, 73, 289, 141, 357, 193, 409, 135, 351, 71, 287, 138, 354, 194, 410, 176, 392, 196, 412, 144, 360, 74, 290)(49, 265, 101, 317, 142, 358, 127, 343, 186, 402, 114, 330, 133, 349, 122, 338, 62, 278, 124, 340, 178, 394, 102, 318)(56, 272, 115, 331, 143, 359, 130, 346, 190, 406, 210, 426, 180, 396, 103, 319, 179, 395, 209, 425, 185, 401, 112, 328)(63, 279, 125, 341, 189, 405, 211, 427, 182, 398, 123, 339, 188, 404, 212, 428, 184, 400, 111, 327, 140, 356, 126, 342)(77, 293, 149, 365, 94, 310, 167, 383, 205, 421, 160, 376, 116, 332, 162, 378, 86, 302, 164, 380, 199, 415, 150, 366)(84, 300, 161, 377, 95, 311, 170, 386, 208, 424, 214, 430, 201, 417, 151, 367, 200, 416, 213, 429, 204, 420, 158, 374)(87, 303, 165, 381, 207, 423, 215, 431, 202, 418, 163, 379, 206, 422, 216, 432, 203, 419, 157, 373, 121, 337, 166, 382)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 229)(6, 220)(7, 221)(8, 235)(9, 237)(10, 239)(11, 219)(12, 232)(13, 234)(14, 247)(15, 224)(16, 251)(17, 253)(18, 223)(19, 250)(20, 259)(21, 227)(22, 263)(23, 265)(24, 267)(25, 226)(26, 262)(27, 273)(28, 228)(29, 230)(30, 279)(31, 278)(32, 283)(33, 285)(34, 231)(35, 244)(36, 291)(37, 293)(38, 295)(39, 233)(40, 246)(41, 236)(42, 303)(43, 302)(44, 307)(45, 238)(46, 311)(47, 310)(48, 315)(49, 241)(50, 319)(51, 321)(52, 296)(53, 240)(54, 318)(55, 328)(56, 242)(57, 332)(58, 334)(59, 243)(60, 290)(61, 338)(62, 245)(63, 300)(64, 343)(65, 248)(66, 346)(67, 345)(68, 308)(69, 349)(70, 351)(71, 249)(72, 258)(73, 252)(74, 359)(75, 358)(76, 363)(77, 255)(78, 367)(79, 369)(80, 352)(81, 254)(82, 366)(83, 374)(84, 256)(85, 378)(86, 257)(87, 356)(88, 383)(89, 260)(90, 386)(91, 385)(92, 364)(93, 365)(94, 261)(95, 272)(96, 380)(97, 264)(98, 381)(99, 392)(100, 284)(101, 266)(102, 355)(103, 357)(104, 397)(105, 269)(106, 398)(107, 274)(108, 268)(109, 375)(110, 400)(111, 270)(112, 354)(113, 402)(114, 271)(115, 377)(116, 275)(117, 379)(118, 399)(119, 376)(120, 373)(121, 276)(122, 350)(123, 277)(124, 282)(125, 280)(126, 382)(127, 362)(128, 388)(129, 281)(130, 360)(131, 389)(132, 403)(133, 287)(134, 339)(135, 408)(136, 324)(137, 286)(138, 330)(139, 327)(140, 288)(141, 317)(142, 289)(143, 337)(144, 340)(145, 292)(146, 341)(147, 413)(148, 316)(149, 294)(150, 336)(151, 309)(152, 326)(153, 297)(154, 418)(155, 411)(156, 419)(157, 298)(158, 335)(159, 421)(160, 299)(161, 342)(162, 333)(163, 301)(164, 306)(165, 304)(166, 331)(167, 314)(168, 325)(169, 305)(170, 312)(171, 322)(172, 329)(173, 417)(174, 348)(175, 410)(176, 313)(177, 409)(178, 412)(179, 320)(180, 423)(181, 420)(182, 424)(183, 323)(184, 416)(185, 422)(186, 344)(187, 415)(188, 407)(189, 414)(190, 347)(191, 372)(192, 353)(193, 396)(194, 401)(195, 394)(196, 371)(197, 361)(198, 370)(199, 390)(200, 368)(201, 406)(202, 405)(203, 404)(204, 395)(205, 384)(206, 391)(207, 393)(208, 387)(209, 429)(210, 430)(211, 431)(212, 432)(213, 428)(214, 427)(215, 426)(216, 425)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2306
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 216 f = 162
	degree seq :: [ 24^18 ]

E19.2311 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = C2 x (((C3 x C3) : C3) : C4) (small group id <216, 100>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^4, T1^-2 * T2 * T1^4 * T2 * T1^-2, (T2 * T1 * T2 * T1^-1)^3, (T1^-1 * T2 * T1 * T2)^3, T1^12, T1^-1 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1 * T2 * T1^-2, T2 * T1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219)(2, 218, 6, 222)(4, 220, 9, 225)(5, 221, 12, 228)(7, 223, 16, 232)(8, 224, 17, 233)(10, 226, 21, 237)(11, 227, 24, 240)(13, 229, 28, 244)(14, 230, 29, 245)(15, 231, 32, 248)(18, 234, 36, 252)(19, 235, 39, 255)(20, 236, 33, 249)(22, 238, 43, 259)(23, 239, 46, 262)(25, 241, 50, 266)(26, 242, 51, 267)(27, 243, 54, 270)(30, 246, 57, 273)(31, 247, 59, 275)(34, 250, 63, 279)(35, 251, 66, 282)(37, 253, 69, 285)(38, 254, 71, 287)(40, 256, 74, 290)(41, 257, 76, 292)(42, 258, 72, 288)(44, 260, 70, 286)(45, 261, 81, 297)(47, 263, 84, 300)(48, 264, 85, 301)(49, 265, 87, 303)(52, 268, 90, 306)(53, 269, 91, 307)(55, 271, 94, 310)(56, 272, 97, 313)(58, 274, 100, 316)(60, 276, 104, 320)(61, 277, 105, 321)(62, 278, 108, 324)(64, 280, 109, 325)(65, 281, 111, 327)(67, 283, 114, 330)(68, 284, 112, 328)(73, 289, 113, 329)(75, 291, 124, 340)(77, 293, 128, 344)(78, 294, 126, 342)(79, 295, 125, 341)(80, 296, 131, 347)(82, 298, 134, 350)(83, 299, 136, 352)(86, 302, 139, 355)(88, 304, 142, 358)(89, 305, 145, 361)(92, 308, 151, 367)(93, 309, 152, 368)(95, 311, 154, 370)(96, 312, 156, 372)(98, 314, 158, 374)(99, 315, 157, 373)(101, 317, 161, 377)(102, 318, 132, 348)(103, 319, 163, 379)(106, 322, 166, 382)(107, 323, 167, 383)(110, 326, 135, 351)(115, 331, 176, 392)(116, 332, 175, 391)(117, 333, 155, 371)(118, 334, 174, 390)(119, 335, 179, 395)(120, 336, 181, 397)(121, 337, 171, 387)(122, 338, 165, 381)(123, 339, 168, 384)(127, 343, 169, 385)(129, 345, 149, 365)(130, 346, 185, 401)(133, 349, 186, 402)(137, 353, 189, 405)(138, 354, 190, 406)(140, 356, 192, 408)(141, 357, 193, 409)(143, 359, 195, 411)(144, 360, 196, 412)(146, 362, 198, 414)(147, 363, 197, 413)(148, 364, 200, 416)(150, 366, 202, 418)(153, 369, 204, 420)(159, 375, 209, 425)(160, 376, 208, 424)(162, 378, 205, 421)(164, 380, 201, 417)(170, 386, 188, 404)(172, 388, 210, 426)(173, 389, 187, 403)(177, 393, 207, 423)(178, 394, 211, 427)(180, 396, 212, 428)(182, 398, 213, 429)(183, 399, 206, 422)(184, 400, 203, 419)(191, 407, 214, 430)(194, 410, 215, 431)(199, 415, 216, 432)
	L = (1, 218)(2, 221)(3, 223)(4, 217)(5, 227)(6, 229)(7, 231)(8, 219)(9, 235)(10, 220)(11, 239)(12, 241)(13, 243)(14, 222)(15, 247)(16, 249)(17, 251)(18, 224)(19, 254)(20, 225)(21, 257)(22, 226)(23, 261)(24, 263)(25, 265)(26, 228)(27, 269)(28, 233)(29, 272)(30, 230)(31, 262)(32, 276)(33, 278)(34, 232)(35, 281)(36, 283)(37, 234)(38, 264)(39, 288)(40, 236)(41, 268)(42, 237)(43, 274)(44, 238)(45, 296)(46, 298)(47, 299)(48, 240)(49, 302)(50, 245)(51, 305)(52, 242)(53, 297)(54, 308)(55, 244)(56, 312)(57, 314)(58, 246)(59, 317)(60, 319)(61, 248)(62, 323)(63, 313)(64, 250)(65, 318)(66, 328)(67, 322)(68, 252)(69, 326)(70, 253)(71, 334)(72, 336)(73, 255)(74, 338)(75, 256)(76, 342)(77, 258)(78, 259)(79, 260)(80, 295)(81, 348)(82, 349)(83, 351)(84, 267)(85, 354)(86, 347)(87, 356)(88, 266)(89, 360)(90, 362)(91, 364)(92, 366)(93, 270)(94, 361)(95, 271)(96, 365)(97, 373)(98, 369)(99, 273)(100, 371)(101, 376)(102, 275)(103, 378)(104, 279)(105, 381)(106, 277)(107, 350)(108, 384)(109, 386)(110, 280)(111, 387)(112, 389)(113, 282)(114, 391)(115, 284)(116, 285)(117, 286)(118, 394)(119, 287)(120, 353)(121, 289)(122, 396)(123, 290)(124, 355)(125, 291)(126, 359)(127, 292)(128, 399)(129, 293)(130, 294)(131, 345)(132, 346)(133, 333)(134, 301)(135, 341)(136, 403)(137, 300)(138, 332)(139, 337)(140, 407)(141, 303)(142, 406)(143, 304)(144, 340)(145, 413)(146, 410)(147, 306)(148, 343)(149, 307)(150, 417)(151, 310)(152, 330)(153, 309)(154, 421)(155, 311)(156, 325)(157, 423)(158, 424)(159, 315)(160, 316)(161, 321)(162, 402)(163, 418)(164, 320)(165, 412)(166, 420)(167, 416)(168, 408)(169, 324)(170, 414)(171, 409)(172, 327)(173, 405)(174, 329)(175, 411)(176, 425)(177, 331)(178, 404)(179, 422)(180, 335)(181, 419)(182, 339)(183, 415)(184, 344)(185, 426)(186, 393)(187, 398)(188, 352)(189, 377)(190, 395)(191, 400)(192, 358)(193, 374)(194, 357)(195, 380)(196, 370)(197, 388)(198, 385)(199, 363)(200, 368)(201, 401)(202, 430)(203, 367)(204, 431)(205, 390)(206, 372)(207, 383)(208, 397)(209, 432)(210, 375)(211, 379)(212, 382)(213, 392)(214, 429)(215, 427)(216, 428)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2307
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 108 e = 216 f = 72
	degree seq :: [ 4^108 ]

E19.2312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C4) (small group id <216, 100>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, R * Y2^-2 * R * Y1 * Y2^-2 * Y1, (Y1 * Y2^-1 * Y1 * Y2)^3, Y2^-1 * Y1 * Y2 * R * Y2^2 * R * Y2^-2 * Y1 * Y2^-1 * R * Y2^2 * R * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 10, 226)(6, 222, 12, 228)(8, 224, 15, 231)(11, 227, 20, 236)(13, 229, 23, 239)(14, 230, 25, 241)(16, 232, 28, 244)(17, 233, 30, 246)(18, 234, 31, 247)(19, 235, 33, 249)(21, 237, 36, 252)(22, 238, 38, 254)(24, 240, 41, 257)(26, 242, 44, 260)(27, 243, 46, 262)(29, 245, 49, 265)(32, 248, 54, 270)(34, 250, 57, 273)(35, 251, 59, 275)(37, 253, 62, 278)(39, 255, 65, 281)(40, 256, 67, 283)(42, 258, 55, 271)(43, 259, 71, 287)(45, 261, 74, 290)(47, 263, 77, 293)(48, 264, 61, 277)(50, 266, 81, 297)(51, 267, 83, 299)(52, 268, 84, 300)(53, 269, 86, 302)(56, 272, 90, 306)(58, 274, 93, 309)(60, 276, 96, 312)(63, 279, 100, 316)(64, 280, 102, 318)(66, 282, 105, 321)(68, 284, 108, 324)(69, 285, 110, 326)(70, 286, 111, 327)(72, 288, 114, 330)(73, 289, 116, 332)(75, 291, 106, 322)(76, 292, 120, 336)(78, 294, 123, 339)(79, 295, 124, 340)(80, 296, 126, 342)(82, 298, 128, 344)(85, 301, 133, 349)(87, 303, 136, 352)(88, 304, 138, 354)(89, 305, 139, 355)(91, 307, 142, 358)(92, 308, 144, 360)(94, 310, 134, 350)(95, 311, 148, 364)(97, 313, 151, 367)(98, 314, 152, 368)(99, 315, 154, 370)(101, 317, 156, 372)(103, 319, 131, 347)(104, 320, 149, 365)(107, 323, 155, 371)(109, 325, 145, 361)(112, 328, 169, 385)(113, 329, 157, 373)(115, 331, 143, 359)(117, 333, 137, 353)(118, 334, 153, 369)(119, 335, 147, 363)(121, 337, 132, 348)(122, 338, 178, 394)(125, 341, 146, 362)(127, 343, 135, 351)(129, 345, 141, 357)(130, 346, 158, 374)(140, 356, 190, 406)(150, 366, 199, 415)(159, 375, 192, 408)(160, 376, 191, 407)(161, 377, 182, 398)(162, 378, 201, 417)(163, 379, 196, 412)(164, 380, 202, 418)(165, 381, 198, 414)(166, 382, 187, 403)(167, 383, 193, 409)(168, 384, 203, 419)(170, 386, 181, 397)(171, 387, 180, 396)(172, 388, 188, 404)(173, 389, 204, 420)(174, 390, 195, 411)(175, 391, 184, 400)(176, 392, 200, 416)(177, 393, 186, 402)(179, 395, 197, 413)(183, 399, 207, 423)(185, 401, 208, 424)(189, 405, 209, 425)(194, 410, 210, 426)(205, 421, 212, 428)(206, 422, 211, 427)(213, 429, 215, 431)(214, 430, 216, 432)(433, 649, 435, 651, 440, 656, 436, 652)(434, 650, 437, 653, 443, 659, 438, 654)(439, 655, 445, 661, 456, 672, 446, 662)(441, 657, 448, 664, 461, 677, 449, 665)(442, 658, 450, 666, 464, 680, 451, 667)(444, 660, 453, 669, 469, 685, 454, 670)(447, 663, 458, 674, 477, 693, 459, 675)(452, 668, 466, 682, 490, 706, 467, 683)(455, 671, 471, 687, 498, 714, 472, 688)(457, 673, 474, 690, 502, 718, 475, 691)(460, 676, 479, 695, 510, 726, 480, 696)(462, 678, 482, 698, 514, 730, 483, 699)(463, 679, 484, 700, 517, 733, 485, 701)(465, 681, 487, 703, 521, 737, 488, 704)(468, 684, 492, 708, 529, 745, 493, 709)(470, 686, 495, 711, 533, 749, 496, 712)(473, 689, 500, 716, 541, 757, 501, 717)(476, 692, 504, 720, 547, 763, 505, 721)(478, 694, 507, 723, 551, 767, 508, 724)(481, 697, 511, 727, 557, 773, 512, 728)(486, 702, 519, 735, 569, 785, 520, 736)(489, 705, 523, 739, 575, 791, 524, 740)(491, 707, 526, 742, 579, 795, 527, 743)(494, 710, 530, 746, 585, 801, 531, 747)(497, 713, 535, 751, 591, 807, 536, 752)(499, 715, 538, 754, 594, 810, 539, 755)(503, 719, 544, 760, 602, 818, 545, 761)(506, 722, 549, 765, 606, 822, 550, 766)(509, 725, 553, 769, 609, 825, 554, 770)(513, 729, 559, 775, 605, 821, 548, 764)(515, 731, 561, 777, 611, 827, 562, 778)(516, 732, 563, 779, 612, 828, 564, 780)(518, 734, 566, 782, 615, 831, 567, 783)(522, 738, 572, 788, 623, 839, 573, 789)(525, 741, 577, 793, 627, 843, 578, 794)(528, 744, 581, 797, 630, 846, 582, 798)(532, 748, 587, 803, 626, 842, 576, 792)(534, 750, 589, 805, 632, 848, 590, 806)(537, 753, 592, 808, 556, 772, 593, 809)(540, 756, 595, 811, 555, 771, 596, 812)(542, 758, 597, 813, 560, 776, 598, 814)(543, 759, 599, 815, 558, 774, 600, 816)(546, 762, 603, 819, 637, 853, 604, 820)(552, 768, 607, 823, 638, 854, 608, 824)(565, 781, 613, 829, 584, 800, 614, 830)(568, 784, 616, 832, 583, 799, 617, 833)(570, 786, 618, 834, 588, 804, 619, 835)(571, 787, 620, 836, 586, 802, 621, 837)(574, 790, 624, 840, 643, 859, 625, 841)(580, 796, 628, 844, 644, 860, 629, 845)(601, 817, 636, 852, 646, 862, 634, 850)(610, 826, 635, 851, 645, 861, 633, 849)(622, 838, 642, 858, 648, 864, 640, 856)(631, 847, 641, 857, 647, 863, 639, 855)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 442)(6, 444)(7, 435)(8, 447)(9, 436)(10, 437)(11, 452)(12, 438)(13, 455)(14, 457)(15, 440)(16, 460)(17, 462)(18, 463)(19, 465)(20, 443)(21, 468)(22, 470)(23, 445)(24, 473)(25, 446)(26, 476)(27, 478)(28, 448)(29, 481)(30, 449)(31, 450)(32, 486)(33, 451)(34, 489)(35, 491)(36, 453)(37, 494)(38, 454)(39, 497)(40, 499)(41, 456)(42, 487)(43, 503)(44, 458)(45, 506)(46, 459)(47, 509)(48, 493)(49, 461)(50, 513)(51, 515)(52, 516)(53, 518)(54, 464)(55, 474)(56, 522)(57, 466)(58, 525)(59, 467)(60, 528)(61, 480)(62, 469)(63, 532)(64, 534)(65, 471)(66, 537)(67, 472)(68, 540)(69, 542)(70, 543)(71, 475)(72, 546)(73, 548)(74, 477)(75, 538)(76, 552)(77, 479)(78, 555)(79, 556)(80, 558)(81, 482)(82, 560)(83, 483)(84, 484)(85, 565)(86, 485)(87, 568)(88, 570)(89, 571)(90, 488)(91, 574)(92, 576)(93, 490)(94, 566)(95, 580)(96, 492)(97, 583)(98, 584)(99, 586)(100, 495)(101, 588)(102, 496)(103, 563)(104, 581)(105, 498)(106, 507)(107, 587)(108, 500)(109, 577)(110, 501)(111, 502)(112, 601)(113, 589)(114, 504)(115, 575)(116, 505)(117, 569)(118, 585)(119, 579)(120, 508)(121, 564)(122, 610)(123, 510)(124, 511)(125, 578)(126, 512)(127, 567)(128, 514)(129, 573)(130, 590)(131, 535)(132, 553)(133, 517)(134, 526)(135, 559)(136, 519)(137, 549)(138, 520)(139, 521)(140, 622)(141, 561)(142, 523)(143, 547)(144, 524)(145, 541)(146, 557)(147, 551)(148, 527)(149, 536)(150, 631)(151, 529)(152, 530)(153, 550)(154, 531)(155, 539)(156, 533)(157, 545)(158, 562)(159, 624)(160, 623)(161, 614)(162, 633)(163, 628)(164, 634)(165, 630)(166, 619)(167, 625)(168, 635)(169, 544)(170, 613)(171, 612)(172, 620)(173, 636)(174, 627)(175, 616)(176, 632)(177, 618)(178, 554)(179, 629)(180, 603)(181, 602)(182, 593)(183, 639)(184, 607)(185, 640)(186, 609)(187, 598)(188, 604)(189, 641)(190, 572)(191, 592)(192, 591)(193, 599)(194, 642)(195, 606)(196, 595)(197, 611)(198, 597)(199, 582)(200, 608)(201, 594)(202, 596)(203, 600)(204, 605)(205, 644)(206, 643)(207, 615)(208, 617)(209, 621)(210, 626)(211, 638)(212, 637)(213, 647)(214, 648)(215, 645)(216, 646)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2315
Graph:: bipartite
	v = 162 e = 432 f = 234
	degree seq :: [ 4^108, 8^54 ]

E19.2313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C4) (small group id <216, 100>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1^3 * Y2^-1, Y1 * Y2 * Y1^-2 * Y2 * Y1 * Y2^2, Y2^3 * Y1^-1 * Y2^-5 * Y1^-1, Y1^-1 * Y2^3 * Y1^-1 * Y2^7, Y1 * Y2^-2 * Y1 * Y2^-3 * Y1^-2 * Y2^-3, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^-1, (Y2 * Y1^-1)^6 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 21, 237, 11, 227)(5, 221, 13, 229, 18, 234, 7, 223)(8, 224, 19, 235, 34, 250, 15, 231)(10, 226, 23, 239, 49, 265, 25, 241)(12, 228, 16, 232, 35, 251, 28, 244)(14, 230, 31, 247, 62, 278, 29, 245)(17, 233, 37, 253, 77, 293, 39, 255)(20, 236, 43, 259, 86, 302, 41, 257)(22, 238, 47, 263, 94, 310, 45, 261)(24, 240, 51, 267, 105, 321, 53, 269)(26, 242, 46, 262, 95, 311, 56, 272)(27, 243, 57, 273, 116, 332, 59, 275)(30, 246, 63, 279, 84, 300, 40, 256)(32, 248, 67, 283, 129, 345, 65, 281)(33, 249, 69, 285, 133, 349, 71, 287)(36, 252, 75, 291, 142, 358, 73, 289)(38, 254, 79, 295, 153, 369, 81, 297)(42, 258, 87, 303, 140, 356, 72, 288)(44, 260, 91, 307, 169, 385, 89, 305)(48, 264, 99, 315, 176, 392, 97, 313)(50, 266, 103, 319, 141, 357, 101, 317)(52, 268, 80, 296, 136, 352, 108, 324)(54, 270, 102, 318, 139, 355, 111, 327)(55, 271, 112, 328, 138, 354, 114, 330)(58, 274, 118, 334, 183, 399, 107, 323)(60, 276, 74, 290, 143, 359, 121, 337)(61, 277, 122, 338, 134, 350, 123, 339)(64, 280, 127, 343, 146, 362, 125, 341)(66, 282, 130, 346, 144, 360, 124, 340)(68, 284, 92, 308, 148, 364, 100, 316)(70, 286, 135, 351, 192, 408, 137, 353)(76, 292, 147, 363, 197, 413, 145, 361)(78, 294, 151, 367, 93, 309, 149, 365)(82, 298, 150, 366, 120, 336, 157, 373)(83, 299, 158, 374, 119, 335, 160, 376)(85, 301, 162, 378, 117, 333, 163, 379)(88, 304, 167, 383, 98, 314, 165, 381)(90, 306, 170, 386, 96, 312, 164, 380)(104, 320, 181, 397, 204, 420, 179, 395)(106, 322, 182, 398, 208, 424, 171, 387)(109, 325, 159, 375, 205, 421, 168, 384)(110, 326, 184, 400, 200, 416, 152, 368)(113, 329, 186, 402, 128, 344, 172, 388)(115, 331, 161, 377, 126, 342, 166, 382)(131, 347, 173, 389, 201, 417, 190, 406)(132, 348, 187, 403, 199, 415, 174, 390)(154, 370, 202, 418, 189, 405, 198, 414)(155, 371, 195, 411, 178, 394, 196, 412)(156, 372, 203, 419, 188, 404, 191, 407)(175, 391, 194, 410, 185, 401, 206, 422)(177, 393, 193, 409, 180, 396, 207, 423)(209, 425, 213, 429, 212, 428, 216, 432)(210, 426, 214, 430, 211, 427, 215, 431)(433, 649, 435, 651, 442, 658, 456, 672, 484, 700, 539, 755, 604, 820, 523, 739, 500, 716, 464, 680, 446, 662, 437, 653)(434, 650, 439, 655, 449, 665, 470, 686, 512, 728, 485, 701, 541, 757, 579, 795, 524, 740, 476, 692, 452, 668, 440, 656)(436, 652, 444, 660, 459, 675, 490, 706, 540, 756, 569, 785, 564, 780, 499, 715, 532, 748, 480, 696, 454, 670, 441, 657)(438, 654, 447, 663, 465, 681, 502, 718, 568, 784, 513, 729, 587, 803, 531, 747, 580, 796, 508, 724, 468, 684, 448, 664)(443, 659, 458, 674, 487, 703, 545, 761, 615, 831, 563, 779, 498, 714, 463, 679, 497, 713, 536, 752, 482, 698, 455, 671)(445, 661, 461, 677, 493, 709, 538, 754, 483, 699, 457, 673, 486, 702, 542, 758, 601, 817, 560, 776, 496, 712, 462, 678)(450, 666, 472, 688, 515, 731, 591, 807, 537, 753, 603, 819, 522, 738, 475, 691, 521, 737, 584, 800, 510, 726, 469, 685)(451, 667, 473, 689, 517, 733, 586, 802, 511, 727, 471, 687, 514, 730, 588, 804, 629, 845, 600, 816, 520, 736, 474, 690)(453, 669, 477, 693, 525, 741, 605, 821, 550, 766, 491, 707, 551, 767, 613, 829, 561, 777, 606, 822, 528, 744, 478, 694)(460, 676, 492, 708, 552, 768, 619, 835, 624, 840, 609, 825, 530, 746, 479, 695, 529, 745, 607, 823, 549, 765, 489, 705)(466, 682, 504, 720, 571, 787, 627, 843, 585, 801, 630, 846, 578, 794, 507, 723, 577, 793, 623, 839, 566, 782, 501, 717)(467, 683, 505, 721, 573, 789, 625, 841, 567, 783, 503, 719, 570, 786, 626, 842, 608, 824, 628, 844, 576, 792, 506, 722)(481, 697, 533, 749, 574, 790, 559, 775, 618, 834, 546, 762, 565, 781, 554, 770, 494, 710, 556, 772, 610, 826, 534, 750)(488, 704, 547, 763, 575, 791, 562, 778, 622, 838, 642, 858, 612, 828, 535, 751, 611, 827, 641, 857, 617, 833, 544, 760)(495, 711, 557, 773, 621, 837, 643, 859, 614, 830, 555, 771, 620, 836, 644, 860, 616, 832, 543, 759, 572, 788, 558, 774)(509, 725, 581, 797, 526, 742, 599, 815, 637, 853, 592, 808, 548, 764, 594, 810, 518, 734, 596, 812, 631, 847, 582, 798)(516, 732, 593, 809, 527, 743, 602, 818, 640, 856, 646, 862, 633, 849, 583, 799, 632, 848, 645, 861, 636, 852, 590, 806)(519, 735, 597, 813, 639, 855, 647, 863, 634, 850, 595, 811, 638, 854, 648, 864, 635, 851, 589, 805, 553, 769, 598, 814)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 447)(7, 449)(8, 434)(9, 436)(10, 456)(11, 458)(12, 459)(13, 461)(14, 437)(15, 465)(16, 438)(17, 470)(18, 472)(19, 473)(20, 440)(21, 477)(22, 441)(23, 443)(24, 484)(25, 486)(26, 487)(27, 490)(28, 492)(29, 493)(30, 445)(31, 497)(32, 446)(33, 502)(34, 504)(35, 505)(36, 448)(37, 450)(38, 512)(39, 514)(40, 515)(41, 517)(42, 451)(43, 521)(44, 452)(45, 525)(46, 453)(47, 529)(48, 454)(49, 533)(50, 455)(51, 457)(52, 539)(53, 541)(54, 542)(55, 545)(56, 547)(57, 460)(58, 540)(59, 551)(60, 552)(61, 538)(62, 556)(63, 557)(64, 462)(65, 536)(66, 463)(67, 532)(68, 464)(69, 466)(70, 568)(71, 570)(72, 571)(73, 573)(74, 467)(75, 577)(76, 468)(77, 581)(78, 469)(79, 471)(80, 485)(81, 587)(82, 588)(83, 591)(84, 593)(85, 586)(86, 596)(87, 597)(88, 474)(89, 584)(90, 475)(91, 500)(92, 476)(93, 605)(94, 599)(95, 602)(96, 478)(97, 607)(98, 479)(99, 580)(100, 480)(101, 574)(102, 481)(103, 611)(104, 482)(105, 603)(106, 483)(107, 604)(108, 569)(109, 579)(110, 601)(111, 572)(112, 488)(113, 615)(114, 565)(115, 575)(116, 594)(117, 489)(118, 491)(119, 613)(120, 619)(121, 598)(122, 494)(123, 620)(124, 610)(125, 621)(126, 495)(127, 618)(128, 496)(129, 606)(130, 622)(131, 498)(132, 499)(133, 554)(134, 501)(135, 503)(136, 513)(137, 564)(138, 626)(139, 627)(140, 558)(141, 625)(142, 559)(143, 562)(144, 506)(145, 623)(146, 507)(147, 524)(148, 508)(149, 526)(150, 509)(151, 632)(152, 510)(153, 630)(154, 511)(155, 531)(156, 629)(157, 553)(158, 516)(159, 537)(160, 548)(161, 527)(162, 518)(163, 638)(164, 631)(165, 639)(166, 519)(167, 637)(168, 520)(169, 560)(170, 640)(171, 522)(172, 523)(173, 550)(174, 528)(175, 549)(176, 628)(177, 530)(178, 534)(179, 641)(180, 535)(181, 561)(182, 555)(183, 563)(184, 543)(185, 544)(186, 546)(187, 624)(188, 644)(189, 643)(190, 642)(191, 566)(192, 609)(193, 567)(194, 608)(195, 585)(196, 576)(197, 600)(198, 578)(199, 582)(200, 645)(201, 583)(202, 595)(203, 589)(204, 590)(205, 592)(206, 648)(207, 647)(208, 646)(209, 617)(210, 612)(211, 614)(212, 616)(213, 636)(214, 633)(215, 634)(216, 635)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2314
Graph:: bipartite
	v = 72 e = 432 f = 324
	degree seq :: [ 8^54, 24^18 ]

E19.2314 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C4) (small group id <216, 100>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, Y3^-2 * Y2 * Y3^4 * Y2 * Y3^-2, (Y3^-1 * Y2 * Y3 * Y2)^3, Y3^-2 * Y2 * Y3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-1, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650)(435, 651, 439, 655)(436, 652, 441, 657)(437, 653, 443, 659)(438, 654, 445, 661)(440, 656, 449, 665)(442, 658, 453, 669)(444, 660, 457, 673)(446, 662, 461, 677)(447, 663, 460, 676)(448, 664, 464, 680)(450, 666, 468, 684)(451, 667, 470, 686)(452, 668, 455, 671)(454, 670, 475, 691)(456, 672, 478, 694)(458, 674, 482, 698)(459, 675, 484, 700)(462, 678, 489, 705)(463, 679, 491, 707)(465, 681, 495, 711)(466, 682, 494, 710)(467, 683, 498, 714)(469, 685, 483, 699)(471, 687, 505, 721)(472, 688, 506, 722)(473, 689, 508, 724)(474, 690, 503, 719)(476, 692, 490, 706)(477, 693, 512, 728)(479, 695, 516, 732)(480, 696, 515, 731)(481, 697, 519, 735)(485, 701, 526, 742)(486, 702, 527, 743)(487, 703, 529, 745)(488, 704, 524, 740)(492, 708, 535, 751)(493, 709, 514, 730)(496, 712, 541, 757)(497, 713, 542, 758)(499, 715, 546, 762)(500, 716, 545, 761)(501, 717, 548, 764)(502, 718, 536, 752)(504, 720, 525, 741)(507, 723, 556, 772)(509, 725, 560, 776)(510, 726, 558, 774)(511, 727, 557, 773)(513, 729, 565, 781)(517, 733, 571, 787)(518, 734, 572, 788)(520, 736, 576, 792)(521, 737, 575, 791)(522, 738, 578, 794)(523, 739, 566, 782)(528, 744, 586, 802)(530, 746, 590, 806)(531, 747, 588, 804)(532, 748, 587, 803)(533, 749, 585, 801)(534, 750, 589, 805)(537, 753, 570, 786)(538, 754, 597, 813)(539, 755, 599, 815)(540, 756, 567, 783)(543, 759, 603, 819)(544, 760, 584, 800)(547, 763, 609, 825)(549, 765, 604, 820)(550, 766, 610, 826)(551, 767, 582, 798)(552, 768, 581, 797)(553, 769, 612, 828)(554, 770, 574, 790)(555, 771, 563, 779)(559, 775, 564, 780)(561, 777, 596, 812)(562, 778, 617, 833)(568, 784, 622, 838)(569, 785, 624, 840)(573, 789, 628, 844)(577, 793, 634, 850)(579, 795, 629, 845)(580, 796, 635, 851)(583, 799, 637, 853)(591, 807, 621, 837)(592, 808, 642, 858)(593, 809, 626, 842)(594, 810, 632, 848)(595, 811, 620, 836)(598, 814, 623, 839)(600, 816, 640, 856)(601, 817, 618, 834)(602, 818, 636, 852)(605, 821, 630, 846)(606, 822, 631, 847)(607, 823, 619, 835)(608, 824, 638, 854)(611, 827, 627, 843)(613, 829, 633, 849)(614, 830, 641, 857)(615, 831, 625, 841)(616, 832, 639, 855)(643, 859, 646, 862)(644, 860, 647, 863)(645, 861, 648, 864)
	L = (1, 435)(2, 437)(3, 440)(4, 433)(5, 444)(6, 434)(7, 447)(8, 450)(9, 451)(10, 436)(11, 455)(12, 458)(13, 459)(14, 438)(15, 463)(16, 439)(17, 466)(18, 469)(19, 471)(20, 441)(21, 473)(22, 442)(23, 477)(24, 443)(25, 480)(26, 483)(27, 485)(28, 445)(29, 487)(30, 446)(31, 492)(32, 493)(33, 448)(34, 497)(35, 449)(36, 500)(37, 502)(38, 503)(39, 501)(40, 452)(41, 499)(42, 453)(43, 496)(44, 454)(45, 513)(46, 514)(47, 456)(48, 518)(49, 457)(50, 521)(51, 523)(52, 524)(53, 522)(54, 460)(55, 520)(56, 461)(57, 517)(58, 462)(59, 533)(60, 536)(61, 537)(62, 464)(63, 539)(64, 465)(65, 543)(66, 544)(67, 467)(68, 547)(69, 468)(70, 549)(71, 550)(72, 470)(73, 552)(74, 554)(75, 472)(76, 558)(77, 474)(78, 475)(79, 476)(80, 563)(81, 566)(82, 567)(83, 478)(84, 569)(85, 479)(86, 573)(87, 574)(88, 481)(89, 577)(90, 482)(91, 579)(92, 580)(93, 484)(94, 582)(95, 584)(96, 486)(97, 588)(98, 488)(99, 489)(100, 490)(101, 593)(102, 491)(103, 595)(104, 578)(105, 596)(106, 494)(107, 594)(108, 495)(109, 587)(110, 601)(111, 604)(112, 605)(113, 498)(114, 607)(115, 571)(116, 592)(117, 511)(118, 606)(119, 504)(120, 611)(121, 505)(122, 613)(123, 506)(124, 603)(125, 507)(126, 598)(127, 508)(128, 615)(129, 509)(130, 510)(131, 618)(132, 512)(133, 620)(134, 548)(135, 621)(136, 515)(137, 619)(138, 516)(139, 557)(140, 626)(141, 629)(142, 630)(143, 519)(144, 632)(145, 541)(146, 562)(147, 532)(148, 631)(149, 525)(150, 636)(151, 526)(152, 638)(153, 527)(154, 628)(155, 528)(156, 623)(157, 529)(158, 640)(159, 530)(160, 531)(161, 622)(162, 534)(163, 559)(164, 535)(165, 642)(166, 538)(167, 634)(168, 540)(169, 643)(170, 542)(171, 551)(172, 561)(173, 556)(174, 545)(175, 644)(176, 546)(177, 635)(178, 639)(179, 624)(180, 625)(181, 553)(182, 555)(183, 645)(184, 560)(185, 637)(186, 597)(187, 564)(188, 589)(189, 565)(190, 617)(191, 568)(192, 609)(193, 570)(194, 646)(195, 572)(196, 581)(197, 591)(198, 586)(199, 575)(200, 647)(201, 576)(202, 610)(203, 614)(204, 599)(205, 600)(206, 583)(207, 585)(208, 648)(209, 590)(210, 612)(211, 616)(212, 602)(213, 608)(214, 641)(215, 627)(216, 633)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2313
Graph:: simple bipartite
	v = 324 e = 432 f = 72
	degree seq :: [ 2^216, 4^108 ]

E19.2315 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C4) (small group id <216, 100>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, (Y1 * Y3^-1)^4, Y1^2 * Y3^-1 * Y1^-4 * Y3 * Y1^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1, Y1^12, Y1^-1 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^-3 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^3 * Y3^-1 * Y1^2 * Y3 * Y1 * Y3 * Y1^-2, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 217, 2, 218, 5, 221, 11, 227, 23, 239, 45, 261, 80, 296, 79, 295, 44, 260, 22, 238, 10, 226, 4, 220)(3, 219, 7, 223, 15, 231, 31, 247, 46, 262, 82, 298, 133, 349, 117, 333, 70, 286, 37, 253, 18, 234, 8, 224)(6, 222, 13, 229, 27, 243, 53, 269, 81, 297, 132, 348, 130, 346, 78, 294, 43, 259, 58, 274, 30, 246, 14, 230)(9, 225, 19, 235, 38, 254, 48, 264, 24, 240, 47, 263, 83, 299, 135, 351, 125, 341, 75, 291, 40, 256, 20, 236)(12, 228, 25, 241, 49, 265, 86, 302, 131, 347, 129, 345, 77, 293, 42, 258, 21, 237, 41, 257, 52, 268, 26, 242)(16, 232, 33, 249, 62, 278, 107, 323, 134, 350, 85, 301, 138, 354, 116, 332, 69, 285, 110, 326, 64, 280, 34, 250)(17, 233, 35, 251, 65, 281, 102, 318, 59, 275, 101, 317, 160, 376, 100, 316, 155, 371, 95, 311, 55, 271, 28, 244)(29, 245, 56, 272, 96, 312, 149, 365, 91, 307, 148, 364, 127, 343, 76, 292, 126, 342, 143, 359, 88, 304, 50, 266)(32, 248, 60, 276, 103, 319, 162, 378, 186, 402, 177, 393, 115, 331, 68, 284, 36, 252, 67, 283, 106, 322, 61, 277)(39, 255, 72, 288, 120, 336, 137, 353, 84, 300, 51, 267, 89, 305, 144, 360, 124, 340, 139, 355, 121, 337, 73, 289)(54, 270, 92, 308, 150, 366, 201, 417, 185, 401, 210, 426, 159, 375, 99, 315, 57, 273, 98, 314, 153, 369, 93, 309)(63, 279, 97, 313, 157, 373, 207, 423, 167, 383, 200, 416, 152, 368, 114, 330, 175, 391, 195, 411, 164, 380, 104, 320)(66, 282, 112, 328, 173, 389, 189, 405, 161, 377, 105, 321, 165, 381, 196, 412, 154, 370, 205, 421, 174, 390, 113, 329)(71, 287, 118, 334, 178, 394, 188, 404, 136, 352, 187, 403, 182, 398, 123, 339, 74, 290, 122, 338, 180, 396, 119, 335)(87, 303, 140, 356, 191, 407, 184, 400, 128, 344, 183, 399, 199, 415, 147, 363, 90, 306, 146, 362, 194, 410, 141, 357)(94, 310, 145, 361, 197, 413, 172, 388, 111, 327, 171, 387, 193, 409, 158, 374, 208, 424, 181, 397, 203, 419, 151, 367)(108, 324, 168, 384, 192, 408, 142, 358, 190, 406, 179, 395, 206, 422, 156, 372, 109, 325, 170, 386, 198, 414, 169, 385)(163, 379, 202, 418, 214, 430, 213, 429, 176, 392, 209, 425, 216, 432, 212, 428, 166, 382, 204, 420, 215, 431, 211, 427)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 438)(3, 433)(4, 441)(5, 444)(6, 434)(7, 448)(8, 449)(9, 436)(10, 453)(11, 456)(12, 437)(13, 460)(14, 461)(15, 464)(16, 439)(17, 440)(18, 468)(19, 471)(20, 465)(21, 442)(22, 475)(23, 478)(24, 443)(25, 482)(26, 483)(27, 486)(28, 445)(29, 446)(30, 489)(31, 491)(32, 447)(33, 452)(34, 495)(35, 498)(36, 450)(37, 501)(38, 503)(39, 451)(40, 506)(41, 508)(42, 504)(43, 454)(44, 502)(45, 513)(46, 455)(47, 516)(48, 517)(49, 519)(50, 457)(51, 458)(52, 522)(53, 523)(54, 459)(55, 526)(56, 529)(57, 462)(58, 532)(59, 463)(60, 536)(61, 537)(62, 540)(63, 466)(64, 541)(65, 543)(66, 467)(67, 546)(68, 544)(69, 469)(70, 476)(71, 470)(72, 474)(73, 545)(74, 472)(75, 556)(76, 473)(77, 560)(78, 558)(79, 557)(80, 563)(81, 477)(82, 566)(83, 568)(84, 479)(85, 480)(86, 571)(87, 481)(88, 574)(89, 577)(90, 484)(91, 485)(92, 583)(93, 584)(94, 487)(95, 586)(96, 588)(97, 488)(98, 590)(99, 589)(100, 490)(101, 593)(102, 564)(103, 595)(104, 492)(105, 493)(106, 598)(107, 599)(108, 494)(109, 496)(110, 567)(111, 497)(112, 500)(113, 505)(114, 499)(115, 608)(116, 607)(117, 587)(118, 606)(119, 611)(120, 613)(121, 603)(122, 597)(123, 600)(124, 507)(125, 511)(126, 510)(127, 601)(128, 509)(129, 581)(130, 617)(131, 512)(132, 534)(133, 618)(134, 514)(135, 542)(136, 515)(137, 621)(138, 622)(139, 518)(140, 624)(141, 625)(142, 520)(143, 627)(144, 628)(145, 521)(146, 630)(147, 629)(148, 632)(149, 561)(150, 634)(151, 524)(152, 525)(153, 636)(154, 527)(155, 549)(156, 528)(157, 531)(158, 530)(159, 641)(160, 640)(161, 533)(162, 637)(163, 535)(164, 633)(165, 554)(166, 538)(167, 539)(168, 555)(169, 559)(170, 620)(171, 553)(172, 642)(173, 619)(174, 550)(175, 548)(176, 547)(177, 639)(178, 643)(179, 551)(180, 644)(181, 552)(182, 645)(183, 638)(184, 635)(185, 562)(186, 565)(187, 605)(188, 602)(189, 569)(190, 570)(191, 646)(192, 572)(193, 573)(194, 647)(195, 575)(196, 576)(197, 579)(198, 578)(199, 648)(200, 580)(201, 596)(202, 582)(203, 616)(204, 585)(205, 594)(206, 615)(207, 609)(208, 592)(209, 591)(210, 604)(211, 610)(212, 612)(213, 614)(214, 623)(215, 626)(216, 631)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 8 ), ( 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 E19.2312
Graph:: simple bipartite
	v = 234 e = 432 f = 162
	degree seq :: [ 2^216, 24^18 ]

E19.2316 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C4) (small group id <216, 100>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * R * Y2^-1 * R * Y2 * Y1 * Y2 * Y1, (Y2 * Y1)^4, (Y3 * Y2^-1)^4, (Y2^-2 * R * Y2^-2)^2, Y2^-2 * Y1 * Y2^4 * Y1 * Y2^-2, (Y2 * Y1 * Y2^-1 * Y1)^3, Y2^12, (Y2 * Y1 * Y2^-1 * Y1)^3, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 25, 241)(14, 230, 29, 245)(15, 231, 28, 244)(16, 232, 32, 248)(18, 234, 36, 252)(19, 235, 38, 254)(20, 236, 23, 239)(22, 238, 43, 259)(24, 240, 46, 262)(26, 242, 50, 266)(27, 243, 52, 268)(30, 246, 57, 273)(31, 247, 59, 275)(33, 249, 63, 279)(34, 250, 62, 278)(35, 251, 66, 282)(37, 253, 51, 267)(39, 255, 73, 289)(40, 256, 74, 290)(41, 257, 76, 292)(42, 258, 71, 287)(44, 260, 58, 274)(45, 261, 80, 296)(47, 263, 84, 300)(48, 264, 83, 299)(49, 265, 87, 303)(53, 269, 94, 310)(54, 270, 95, 311)(55, 271, 97, 313)(56, 272, 92, 308)(60, 276, 103, 319)(61, 277, 82, 298)(64, 280, 109, 325)(65, 281, 110, 326)(67, 283, 114, 330)(68, 284, 113, 329)(69, 285, 116, 332)(70, 286, 104, 320)(72, 288, 93, 309)(75, 291, 124, 340)(77, 293, 128, 344)(78, 294, 126, 342)(79, 295, 125, 341)(81, 297, 133, 349)(85, 301, 139, 355)(86, 302, 140, 356)(88, 304, 144, 360)(89, 305, 143, 359)(90, 306, 146, 362)(91, 307, 134, 350)(96, 312, 154, 370)(98, 314, 158, 374)(99, 315, 156, 372)(100, 316, 155, 371)(101, 317, 153, 369)(102, 318, 157, 373)(105, 321, 138, 354)(106, 322, 165, 381)(107, 323, 167, 383)(108, 324, 135, 351)(111, 327, 171, 387)(112, 328, 152, 368)(115, 331, 177, 393)(117, 333, 172, 388)(118, 334, 178, 394)(119, 335, 150, 366)(120, 336, 149, 365)(121, 337, 180, 396)(122, 338, 142, 358)(123, 339, 131, 347)(127, 343, 132, 348)(129, 345, 164, 380)(130, 346, 185, 401)(136, 352, 190, 406)(137, 353, 192, 408)(141, 357, 196, 412)(145, 361, 202, 418)(147, 363, 197, 413)(148, 364, 203, 419)(151, 367, 205, 421)(159, 375, 189, 405)(160, 376, 210, 426)(161, 377, 194, 410)(162, 378, 200, 416)(163, 379, 188, 404)(166, 382, 191, 407)(168, 384, 208, 424)(169, 385, 186, 402)(170, 386, 204, 420)(173, 389, 198, 414)(174, 390, 199, 415)(175, 391, 187, 403)(176, 392, 206, 422)(179, 395, 195, 411)(181, 397, 201, 417)(182, 398, 209, 425)(183, 399, 193, 409)(184, 400, 207, 423)(211, 427, 214, 430)(212, 428, 215, 431)(213, 429, 216, 432)(433, 649, 435, 651, 440, 656, 450, 666, 469, 685, 502, 718, 549, 765, 511, 727, 476, 692, 454, 670, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 458, 674, 483, 699, 523, 739, 579, 795, 532, 748, 490, 706, 462, 678, 446, 662, 438, 654)(439, 655, 447, 663, 463, 679, 492, 708, 536, 752, 578, 794, 562, 778, 510, 726, 475, 691, 496, 712, 465, 681, 448, 664)(441, 657, 451, 667, 471, 687, 501, 717, 468, 684, 500, 716, 547, 763, 571, 787, 557, 773, 507, 723, 472, 688, 452, 668)(443, 659, 455, 671, 477, 693, 513, 729, 566, 782, 548, 764, 592, 808, 531, 747, 489, 705, 517, 733, 479, 695, 456, 672)(445, 661, 459, 675, 485, 701, 522, 738, 482, 698, 521, 737, 577, 793, 541, 757, 587, 803, 528, 744, 486, 702, 460, 676)(449, 665, 466, 682, 497, 713, 543, 759, 604, 820, 561, 777, 509, 725, 474, 690, 453, 669, 473, 689, 499, 715, 467, 683)(457, 673, 480, 696, 518, 734, 573, 789, 629, 845, 591, 807, 530, 746, 488, 704, 461, 677, 487, 703, 520, 736, 481, 697)(464, 680, 493, 709, 537, 753, 596, 812, 535, 751, 595, 811, 559, 775, 508, 724, 558, 774, 598, 814, 538, 754, 494, 710)(470, 686, 503, 719, 550, 766, 606, 822, 545, 761, 498, 714, 544, 760, 605, 821, 556, 772, 603, 819, 551, 767, 504, 720)(478, 694, 514, 730, 567, 783, 621, 837, 565, 781, 620, 836, 589, 805, 529, 745, 588, 804, 623, 839, 568, 784, 515, 731)(484, 700, 524, 740, 580, 796, 631, 847, 575, 791, 519, 735, 574, 790, 630, 846, 586, 802, 628, 844, 581, 797, 525, 741)(491, 707, 533, 749, 593, 809, 622, 838, 617, 833, 637, 853, 600, 816, 540, 756, 495, 711, 539, 755, 594, 810, 534, 750)(505, 721, 552, 768, 611, 827, 624, 840, 609, 825, 635, 851, 614, 830, 555, 771, 506, 722, 554, 770, 613, 829, 553, 769)(512, 728, 563, 779, 618, 834, 597, 813, 642, 858, 612, 828, 625, 841, 570, 786, 516, 732, 569, 785, 619, 835, 564, 780)(526, 742, 582, 798, 636, 852, 599, 815, 634, 850, 610, 826, 639, 855, 585, 801, 527, 743, 584, 800, 638, 854, 583, 799)(542, 758, 601, 817, 643, 859, 616, 832, 560, 776, 615, 831, 645, 861, 608, 824, 546, 762, 607, 823, 644, 860, 602, 818)(572, 788, 626, 842, 646, 862, 641, 857, 590, 806, 640, 856, 648, 864, 633, 849, 576, 792, 632, 848, 647, 863, 627, 843)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 457)(13, 438)(14, 461)(15, 460)(16, 464)(17, 440)(18, 468)(19, 470)(20, 455)(21, 442)(22, 475)(23, 452)(24, 478)(25, 444)(26, 482)(27, 484)(28, 447)(29, 446)(30, 489)(31, 491)(32, 448)(33, 495)(34, 494)(35, 498)(36, 450)(37, 483)(38, 451)(39, 505)(40, 506)(41, 508)(42, 503)(43, 454)(44, 490)(45, 512)(46, 456)(47, 516)(48, 515)(49, 519)(50, 458)(51, 469)(52, 459)(53, 526)(54, 527)(55, 529)(56, 524)(57, 462)(58, 476)(59, 463)(60, 535)(61, 514)(62, 466)(63, 465)(64, 541)(65, 542)(66, 467)(67, 546)(68, 545)(69, 548)(70, 536)(71, 474)(72, 525)(73, 471)(74, 472)(75, 556)(76, 473)(77, 560)(78, 558)(79, 557)(80, 477)(81, 565)(82, 493)(83, 480)(84, 479)(85, 571)(86, 572)(87, 481)(88, 576)(89, 575)(90, 578)(91, 566)(92, 488)(93, 504)(94, 485)(95, 486)(96, 586)(97, 487)(98, 590)(99, 588)(100, 587)(101, 585)(102, 589)(103, 492)(104, 502)(105, 570)(106, 597)(107, 599)(108, 567)(109, 496)(110, 497)(111, 603)(112, 584)(113, 500)(114, 499)(115, 609)(116, 501)(117, 604)(118, 610)(119, 582)(120, 581)(121, 612)(122, 574)(123, 563)(124, 507)(125, 511)(126, 510)(127, 564)(128, 509)(129, 596)(130, 617)(131, 555)(132, 559)(133, 513)(134, 523)(135, 540)(136, 622)(137, 624)(138, 537)(139, 517)(140, 518)(141, 628)(142, 554)(143, 521)(144, 520)(145, 634)(146, 522)(147, 629)(148, 635)(149, 552)(150, 551)(151, 637)(152, 544)(153, 533)(154, 528)(155, 532)(156, 531)(157, 534)(158, 530)(159, 621)(160, 642)(161, 626)(162, 632)(163, 620)(164, 561)(165, 538)(166, 623)(167, 539)(168, 640)(169, 618)(170, 636)(171, 543)(172, 549)(173, 630)(174, 631)(175, 619)(176, 638)(177, 547)(178, 550)(179, 627)(180, 553)(181, 633)(182, 641)(183, 625)(184, 639)(185, 562)(186, 601)(187, 607)(188, 595)(189, 591)(190, 568)(191, 598)(192, 569)(193, 615)(194, 593)(195, 611)(196, 573)(197, 579)(198, 605)(199, 606)(200, 594)(201, 613)(202, 577)(203, 580)(204, 602)(205, 583)(206, 608)(207, 616)(208, 600)(209, 614)(210, 592)(211, 646)(212, 647)(213, 648)(214, 643)(215, 644)(216, 645)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 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 E19.2317
Graph:: bipartite
	v = 126 e = 432 f = 270
	degree seq :: [ 4^108, 24^18 ]

E19.2317 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C4) (small group id <216, 100>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y1^-1 * Y3^-1 * Y1^3 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3^2, Y3^2 * Y1^-1 * Y3^-5 * Y1^-1 * Y3, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-1, Y3^3 * Y1^-1 * Y3^7 * Y1^-1, (Y3 * Y1^-1)^6, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 21, 237, 11, 227)(5, 221, 13, 229, 18, 234, 7, 223)(8, 224, 19, 235, 34, 250, 15, 231)(10, 226, 23, 239, 49, 265, 25, 241)(12, 228, 16, 232, 35, 251, 28, 244)(14, 230, 31, 247, 62, 278, 29, 245)(17, 233, 37, 253, 77, 293, 39, 255)(20, 236, 43, 259, 86, 302, 41, 257)(22, 238, 47, 263, 94, 310, 45, 261)(24, 240, 51, 267, 105, 321, 53, 269)(26, 242, 46, 262, 95, 311, 56, 272)(27, 243, 57, 273, 116, 332, 59, 275)(30, 246, 63, 279, 84, 300, 40, 256)(32, 248, 67, 283, 129, 345, 65, 281)(33, 249, 69, 285, 133, 349, 71, 287)(36, 252, 75, 291, 142, 358, 73, 289)(38, 254, 79, 295, 153, 369, 81, 297)(42, 258, 87, 303, 140, 356, 72, 288)(44, 260, 91, 307, 169, 385, 89, 305)(48, 264, 99, 315, 176, 392, 97, 313)(50, 266, 103, 319, 141, 357, 101, 317)(52, 268, 80, 296, 136, 352, 108, 324)(54, 270, 102, 318, 139, 355, 111, 327)(55, 271, 112, 328, 138, 354, 114, 330)(58, 274, 118, 334, 183, 399, 107, 323)(60, 276, 74, 290, 143, 359, 121, 337)(61, 277, 122, 338, 134, 350, 123, 339)(64, 280, 127, 343, 146, 362, 125, 341)(66, 282, 130, 346, 144, 360, 124, 340)(68, 284, 92, 308, 148, 364, 100, 316)(70, 286, 135, 351, 192, 408, 137, 353)(76, 292, 147, 363, 197, 413, 145, 361)(78, 294, 151, 367, 93, 309, 149, 365)(82, 298, 150, 366, 120, 336, 157, 373)(83, 299, 158, 374, 119, 335, 160, 376)(85, 301, 162, 378, 117, 333, 163, 379)(88, 304, 167, 383, 98, 314, 165, 381)(90, 306, 170, 386, 96, 312, 164, 380)(104, 320, 181, 397, 204, 420, 179, 395)(106, 322, 182, 398, 208, 424, 171, 387)(109, 325, 159, 375, 205, 421, 168, 384)(110, 326, 184, 400, 200, 416, 152, 368)(113, 329, 186, 402, 128, 344, 172, 388)(115, 331, 161, 377, 126, 342, 166, 382)(131, 347, 173, 389, 201, 417, 190, 406)(132, 348, 187, 403, 199, 415, 174, 390)(154, 370, 202, 418, 189, 405, 198, 414)(155, 371, 195, 411, 178, 394, 196, 412)(156, 372, 203, 419, 188, 404, 191, 407)(175, 391, 194, 410, 185, 401, 206, 422)(177, 393, 193, 409, 180, 396, 207, 423)(209, 425, 213, 429, 212, 428, 216, 432)(210, 426, 214, 430, 211, 427, 215, 431)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 447)(7, 449)(8, 434)(9, 436)(10, 456)(11, 458)(12, 459)(13, 461)(14, 437)(15, 465)(16, 438)(17, 470)(18, 472)(19, 473)(20, 440)(21, 477)(22, 441)(23, 443)(24, 484)(25, 486)(26, 487)(27, 490)(28, 492)(29, 493)(30, 445)(31, 497)(32, 446)(33, 502)(34, 504)(35, 505)(36, 448)(37, 450)(38, 512)(39, 514)(40, 515)(41, 517)(42, 451)(43, 521)(44, 452)(45, 525)(46, 453)(47, 529)(48, 454)(49, 533)(50, 455)(51, 457)(52, 539)(53, 541)(54, 542)(55, 545)(56, 547)(57, 460)(58, 540)(59, 551)(60, 552)(61, 538)(62, 556)(63, 557)(64, 462)(65, 536)(66, 463)(67, 532)(68, 464)(69, 466)(70, 568)(71, 570)(72, 571)(73, 573)(74, 467)(75, 577)(76, 468)(77, 581)(78, 469)(79, 471)(80, 485)(81, 587)(82, 588)(83, 591)(84, 593)(85, 586)(86, 596)(87, 597)(88, 474)(89, 584)(90, 475)(91, 500)(92, 476)(93, 605)(94, 599)(95, 602)(96, 478)(97, 607)(98, 479)(99, 580)(100, 480)(101, 574)(102, 481)(103, 611)(104, 482)(105, 603)(106, 483)(107, 604)(108, 569)(109, 579)(110, 601)(111, 572)(112, 488)(113, 615)(114, 565)(115, 575)(116, 594)(117, 489)(118, 491)(119, 613)(120, 619)(121, 598)(122, 494)(123, 620)(124, 610)(125, 621)(126, 495)(127, 618)(128, 496)(129, 606)(130, 622)(131, 498)(132, 499)(133, 554)(134, 501)(135, 503)(136, 513)(137, 564)(138, 626)(139, 627)(140, 558)(141, 625)(142, 559)(143, 562)(144, 506)(145, 623)(146, 507)(147, 524)(148, 508)(149, 526)(150, 509)(151, 632)(152, 510)(153, 630)(154, 511)(155, 531)(156, 629)(157, 553)(158, 516)(159, 537)(160, 548)(161, 527)(162, 518)(163, 638)(164, 631)(165, 639)(166, 519)(167, 637)(168, 520)(169, 560)(170, 640)(171, 522)(172, 523)(173, 550)(174, 528)(175, 549)(176, 628)(177, 530)(178, 534)(179, 641)(180, 535)(181, 561)(182, 555)(183, 563)(184, 543)(185, 544)(186, 546)(187, 624)(188, 644)(189, 643)(190, 642)(191, 566)(192, 609)(193, 567)(194, 608)(195, 585)(196, 576)(197, 600)(198, 578)(199, 582)(200, 645)(201, 583)(202, 595)(203, 589)(204, 590)(205, 592)(206, 648)(207, 647)(208, 646)(209, 617)(210, 612)(211, 614)(212, 616)(213, 636)(214, 633)(215, 634)(216, 635)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2316
Graph:: simple bipartite
	v = 270 e = 432 f = 126
	degree seq :: [ 2^216, 8^54 ]

E19.2318 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = ((C3 x C3) : C4) x S3 (small group id <216, 156>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^4, (T1^2 * T2 * T1^2)^2, (T1^-1 * T2 * T1 * T2)^3, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 80, 79, 44, 22, 10, 4)(3, 7, 15, 31, 59, 101, 130, 82, 46, 37, 18, 8)(6, 13, 27, 53, 43, 78, 126, 128, 81, 58, 30, 14)(9, 19, 38, 71, 116, 134, 85, 48, 24, 47, 40, 20)(12, 25, 49, 42, 21, 41, 76, 123, 127, 90, 52, 26)(16, 33, 63, 107, 70, 84, 132, 182, 153, 110, 65, 34)(17, 35, 66, 100, 129, 179, 154, 102, 60, 95, 55, 28)(29, 56, 96, 143, 178, 176, 125, 77, 91, 138, 87, 50)(32, 61, 103, 69, 36, 68, 114, 167, 180, 159, 106, 62)(39, 73, 119, 131, 83, 51, 88, 139, 186, 172, 120, 74)(54, 92, 144, 99, 57, 98, 151, 201, 177, 199, 147, 93)(64, 97, 150, 200, 211, 191, 146, 115, 160, 205, 156, 104)(67, 112, 165, 192, 148, 105, 157, 181, 210, 208, 166, 113)(72, 117, 169, 122, 75, 121, 173, 185, 133, 184, 170, 118)(86, 135, 187, 142, 89, 141, 194, 175, 124, 174, 190, 136)(94, 140, 193, 215, 203, 171, 189, 152, 111, 164, 197, 145)(108, 161, 195, 149, 109, 163, 188, 137, 183, 212, 207, 162)(155, 202, 214, 206, 158, 196, 216, 209, 168, 198, 213, 204)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 72)(40, 75)(41, 77)(42, 73)(44, 59)(45, 81)(47, 83)(48, 84)(49, 86)(52, 89)(53, 91)(55, 94)(56, 97)(58, 100)(61, 104)(62, 105)(63, 108)(65, 109)(66, 111)(68, 115)(69, 112)(71, 110)(74, 113)(76, 124)(78, 102)(79, 116)(80, 127)(82, 129)(85, 133)(87, 137)(88, 140)(90, 143)(92, 145)(93, 146)(95, 148)(96, 149)(98, 152)(99, 150)(101, 153)(103, 155)(106, 158)(107, 160)(114, 168)(117, 166)(118, 163)(119, 171)(120, 164)(121, 157)(122, 161)(123, 172)(125, 162)(126, 177)(128, 178)(130, 180)(131, 181)(132, 183)(134, 186)(135, 188)(136, 189)(138, 191)(139, 192)(141, 195)(142, 193)(144, 196)(147, 198)(151, 202)(154, 203)(156, 201)(159, 200)(165, 184)(167, 208)(169, 209)(170, 204)(173, 206)(174, 207)(175, 197)(176, 205)(179, 210)(182, 211)(185, 212)(187, 213)(190, 214)(194, 216)(199, 215)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2319
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 108 f = 54
	degree seq :: [ 12^18 ]

E19.2319 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = ((C3 x C3) : C4) x S3 (small group id <216, 156>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1 * T2 * T1)^3, (T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-2)^6, (T1^-1 * T2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 79, 49)(30, 50, 81, 51)(32, 53, 86, 54)(33, 55, 89, 56)(34, 57, 92, 58)(42, 69, 91, 70)(43, 63, 100, 71)(45, 73, 113, 74)(46, 75, 87, 76)(47, 77, 117, 78)(52, 84, 121, 85)(60, 96, 83, 97)(61, 90, 127, 98)(64, 101, 80, 102)(66, 104, 141, 105)(67, 106, 131, 95)(68, 107, 144, 108)(72, 112, 129, 93)(82, 120, 125, 88)(94, 130, 161, 124)(99, 135, 159, 122)(103, 139, 158, 140)(109, 146, 116, 147)(110, 143, 180, 148)(111, 149, 114, 150)(115, 153, 179, 142)(118, 126, 163, 155)(119, 123, 160, 156)(128, 165, 154, 166)(132, 170, 138, 171)(133, 168, 193, 172)(134, 173, 136, 174)(137, 176, 192, 167)(145, 181, 199, 178)(151, 169, 194, 185)(152, 177, 157, 186)(162, 189, 164, 190)(175, 188, 208, 198)(182, 203, 184, 204)(183, 202, 209, 205)(187, 207, 210, 191)(195, 214, 197, 215)(196, 213, 206, 216)(200, 211, 201, 212)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 72)(48, 80)(49, 74)(50, 82)(51, 83)(53, 87)(54, 88)(55, 90)(56, 91)(57, 93)(58, 94)(59, 95)(62, 99)(65, 103)(69, 109)(70, 110)(71, 111)(73, 114)(75, 115)(76, 116)(77, 118)(78, 107)(79, 119)(81, 104)(84, 122)(85, 123)(86, 124)(89, 126)(92, 128)(96, 132)(97, 133)(98, 134)(100, 136)(101, 137)(102, 138)(105, 142)(106, 143)(108, 145)(112, 151)(113, 152)(117, 154)(120, 157)(121, 158)(125, 162)(127, 164)(129, 167)(130, 168)(131, 169)(135, 175)(139, 173)(140, 177)(141, 178)(144, 176)(146, 182)(147, 183)(148, 159)(149, 166)(150, 184)(153, 160)(155, 172)(156, 187)(161, 188)(163, 191)(165, 189)(170, 195)(171, 196)(174, 197)(179, 200)(180, 201)(181, 202)(185, 205)(186, 206)(190, 209)(192, 211)(193, 212)(194, 213)(198, 216)(199, 215)(203, 208)(204, 210)(207, 214)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2318
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 54 e = 108 f = 18
	degree seq :: [ 4^54 ]

E19.2320 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C4) x S3 (small group id <216, 156>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T1 * T2^-1 * T1 * T2)^3, (T1 * T2 * T1 * T2^-2 * T1 * T2)^2, (T2^-2 * T1)^6, (T2^-1 * T1)^12 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 70, 43)(28, 47, 78, 48)(30, 50, 82, 51)(31, 52, 85, 53)(33, 55, 89, 56)(36, 60, 97, 61)(38, 63, 101, 64)(41, 68, 107, 69)(44, 72, 112, 73)(46, 75, 116, 76)(49, 79, 119, 80)(54, 87, 125, 88)(57, 91, 130, 92)(59, 94, 134, 95)(62, 98, 137, 99)(65, 103, 83, 104)(67, 105, 141, 106)(71, 110, 77, 111)(74, 114, 151, 115)(81, 120, 150, 113)(84, 121, 102, 122)(86, 123, 160, 124)(90, 128, 96, 129)(93, 132, 170, 133)(100, 138, 169, 131)(108, 144, 183, 145)(109, 146, 161, 147)(117, 152, 176, 154)(118, 153, 186, 155)(126, 163, 194, 164)(127, 165, 142, 166)(135, 171, 157, 173)(136, 172, 197, 174)(139, 177, 149, 178)(140, 179, 201, 180)(143, 182, 156, 167)(148, 162, 193, 175)(158, 188, 168, 189)(159, 190, 210, 191)(181, 202, 185, 203)(184, 204, 208, 205)(187, 207, 209, 206)(192, 211, 196, 212)(195, 213, 199, 214)(198, 216, 200, 215)(217, 218)(219, 223)(220, 225)(221, 226)(222, 228)(224, 231)(227, 236)(229, 239)(230, 241)(232, 244)(233, 246)(234, 247)(235, 249)(237, 252)(238, 254)(240, 257)(242, 260)(243, 262)(245, 265)(248, 270)(250, 273)(251, 275)(253, 278)(255, 281)(256, 283)(258, 271)(259, 287)(261, 290)(263, 293)(264, 277)(266, 297)(267, 299)(268, 300)(269, 302)(272, 306)(274, 309)(276, 312)(279, 316)(280, 318)(282, 311)(284, 315)(285, 324)(286, 325)(288, 317)(289, 329)(291, 321)(292, 301)(294, 333)(295, 334)(296, 303)(298, 307)(304, 342)(305, 343)(308, 347)(310, 339)(313, 351)(314, 352)(319, 355)(320, 356)(322, 358)(323, 359)(326, 364)(327, 365)(328, 361)(330, 363)(331, 368)(332, 369)(335, 372)(336, 373)(337, 374)(338, 375)(340, 377)(341, 378)(344, 383)(345, 384)(346, 380)(348, 382)(349, 387)(350, 388)(353, 391)(354, 392)(357, 397)(360, 395)(362, 400)(366, 401)(367, 386)(370, 403)(371, 396)(376, 408)(379, 406)(381, 411)(385, 412)(389, 414)(390, 407)(393, 415)(394, 416)(398, 419)(399, 420)(402, 422)(404, 424)(405, 425)(409, 428)(410, 429)(413, 431)(417, 427)(418, 426)(421, 432)(423, 430)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2324
Transitivity :: ET+
Graph:: simple bipartite
	v = 162 e = 216 f = 18
	degree seq :: [ 2^108, 4^54 ]

E19.2321 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C4) x S3 (small group id <216, 156>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, (T1 * T2 * T1^-1 * T2)^2, (T2 * T1^-1 * T2^2)^2, T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-2 * T1^2 * T2^-2 * T1^-2 * T2^-2 * T1^-1, T2^12, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 97, 156, 112, 64, 32, 14, 5)(2, 7, 17, 38, 76, 130, 188, 140, 84, 44, 20, 8)(4, 12, 27, 57, 105, 162, 199, 148, 91, 48, 22, 9)(6, 15, 33, 66, 116, 172, 209, 180, 124, 72, 36, 16)(11, 26, 54, 31, 63, 111, 167, 202, 153, 95, 50, 23)(13, 29, 60, 108, 165, 204, 155, 96, 51, 25, 53, 30)(18, 40, 78, 43, 83, 139, 195, 213, 185, 128, 74, 37)(19, 41, 80, 136, 193, 215, 187, 129, 75, 39, 77, 42)(21, 45, 85, 141, 197, 212, 190, 161, 104, 58, 88, 46)(28, 59, 90, 47, 89, 146, 181, 211, 206, 160, 103, 56)(34, 68, 118, 71, 123, 179, 149, 200, 208, 170, 114, 65)(35, 69, 120, 177, 210, 201, 158, 171, 115, 67, 117, 70)(49, 92, 121, 175, 207, 169, 113, 107, 61, 100, 150, 93)(55, 101, 152, 94, 151, 178, 122, 173, 168, 205, 159, 99)(62, 98, 157, 203, 154, 174, 119, 176, 164, 109, 166, 110)(73, 125, 86, 142, 198, 145, 102, 135, 81, 133, 182, 126)(79, 134, 184, 127, 183, 144, 87, 143, 196, 216, 191, 132)(82, 131, 189, 214, 186, 147, 106, 163, 192, 137, 194, 138)(217, 218, 222, 220)(219, 225, 237, 227)(221, 229, 234, 223)(224, 235, 250, 231)(226, 239, 265, 241)(228, 232, 251, 244)(230, 247, 277, 245)(233, 253, 289, 255)(236, 259, 297, 257)(238, 263, 302, 261)(240, 267, 299, 260)(242, 262, 303, 271)(243, 272, 318, 274)(246, 278, 295, 256)(248, 273, 320, 279)(249, 281, 329, 283)(252, 287, 337, 285)(254, 291, 339, 288)(258, 298, 335, 284)(264, 282, 331, 305)(266, 310, 336, 308)(268, 300, 332, 307)(269, 309, 365, 314)(270, 315, 374, 316)(275, 286, 338, 322)(276, 323, 330, 325)(280, 292, 340, 321)(290, 343, 301, 341)(293, 342, 397, 347)(294, 348, 406, 349)(296, 351, 319, 353)(304, 361, 411, 359)(306, 363, 403, 358)(311, 357, 400, 367)(312, 370, 412, 355)(313, 364, 413, 369)(317, 360, 392, 354)(324, 380, 399, 344)(326, 379, 394, 350)(327, 377, 407, 384)(328, 381, 401, 346)(333, 385, 383, 389)(334, 390, 371, 391)(345, 402, 373, 395)(352, 408, 382, 386)(356, 409, 424, 388)(362, 387, 375, 405)(366, 417, 425, 416)(368, 410, 376, 393)(372, 418, 423, 420)(378, 396, 426, 422)(398, 428, 415, 427)(404, 429, 414, 431)(419, 430, 421, 432)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2325
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 216 f = 108
	degree seq :: [ 4^54, 12^18 ]

E19.2322 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C4) x S3 (small group id <216, 156>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T1^3 * T2 * T1)^2, (T2 * T1 * T2 * T1^-1)^3, T1^12 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 72)(40, 75)(41, 77)(42, 73)(44, 59)(45, 81)(47, 83)(48, 84)(49, 86)(52, 89)(53, 91)(55, 94)(56, 97)(58, 100)(61, 104)(62, 105)(63, 108)(65, 109)(66, 111)(68, 115)(69, 112)(71, 110)(74, 113)(76, 124)(78, 102)(79, 116)(80, 127)(82, 129)(85, 133)(87, 137)(88, 140)(90, 143)(92, 145)(93, 146)(95, 148)(96, 149)(98, 152)(99, 150)(101, 153)(103, 155)(106, 158)(107, 160)(114, 168)(117, 166)(118, 163)(119, 171)(120, 164)(121, 157)(122, 161)(123, 172)(125, 162)(126, 177)(128, 178)(130, 180)(131, 181)(132, 183)(134, 186)(135, 188)(136, 189)(138, 191)(139, 192)(141, 195)(142, 193)(144, 196)(147, 198)(151, 202)(154, 203)(156, 201)(159, 200)(165, 184)(167, 208)(169, 209)(170, 204)(173, 206)(174, 207)(175, 197)(176, 205)(179, 210)(182, 211)(185, 212)(187, 213)(190, 214)(194, 216)(199, 215)(217, 218, 221, 227, 239, 261, 296, 295, 260, 238, 226, 220)(219, 223, 231, 247, 275, 317, 346, 298, 262, 253, 234, 224)(222, 229, 243, 269, 259, 294, 342, 344, 297, 274, 246, 230)(225, 235, 254, 287, 332, 350, 301, 264, 240, 263, 256, 236)(228, 241, 265, 258, 237, 257, 292, 339, 343, 306, 268, 242)(232, 249, 279, 323, 286, 300, 348, 398, 369, 326, 281, 250)(233, 251, 282, 316, 345, 395, 370, 318, 276, 311, 271, 244)(245, 272, 312, 359, 394, 392, 341, 293, 307, 354, 303, 266)(248, 277, 319, 285, 252, 284, 330, 383, 396, 375, 322, 278)(255, 289, 335, 347, 299, 267, 304, 355, 402, 388, 336, 290)(270, 308, 360, 315, 273, 314, 367, 417, 393, 415, 363, 309)(280, 313, 366, 416, 427, 407, 362, 331, 376, 421, 372, 320)(283, 328, 381, 408, 364, 321, 373, 397, 426, 424, 382, 329)(288, 333, 385, 338, 291, 337, 389, 401, 349, 400, 386, 334)(302, 351, 403, 358, 305, 357, 410, 391, 340, 390, 406, 352)(310, 356, 409, 431, 419, 387, 405, 368, 327, 380, 413, 361)(324, 377, 411, 365, 325, 379, 404, 353, 399, 428, 423, 378)(371, 418, 430, 422, 374, 412, 432, 425, 384, 414, 429, 420)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2323
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 54
	degree seq :: [ 2^108, 12^18 ]

E19.2323 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C4) x S3 (small group id <216, 156>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T1 * T2^-1 * T1 * T2)^3, (T1 * T2 * T1 * T2^-2 * T1 * T2)^2, (T2^-2 * T1)^6, (T2^-1 * T1)^12 ]
Map::
	R = (1, 217, 3, 219, 8, 224, 4, 220)(2, 218, 5, 221, 11, 227, 6, 222)(7, 223, 13, 229, 24, 240, 14, 230)(9, 225, 16, 232, 29, 245, 17, 233)(10, 226, 18, 234, 32, 248, 19, 235)(12, 228, 21, 237, 37, 253, 22, 238)(15, 231, 26, 242, 45, 261, 27, 243)(20, 236, 34, 250, 58, 274, 35, 251)(23, 239, 39, 255, 66, 282, 40, 256)(25, 241, 42, 258, 70, 286, 43, 259)(28, 244, 47, 263, 78, 294, 48, 264)(30, 246, 50, 266, 82, 298, 51, 267)(31, 247, 52, 268, 85, 301, 53, 269)(33, 249, 55, 271, 89, 305, 56, 272)(36, 252, 60, 276, 97, 313, 61, 277)(38, 254, 63, 279, 101, 317, 64, 280)(41, 257, 68, 284, 107, 323, 69, 285)(44, 260, 72, 288, 112, 328, 73, 289)(46, 262, 75, 291, 116, 332, 76, 292)(49, 265, 79, 295, 119, 335, 80, 296)(54, 270, 87, 303, 125, 341, 88, 304)(57, 273, 91, 307, 130, 346, 92, 308)(59, 275, 94, 310, 134, 350, 95, 311)(62, 278, 98, 314, 137, 353, 99, 315)(65, 281, 103, 319, 83, 299, 104, 320)(67, 283, 105, 321, 141, 357, 106, 322)(71, 287, 110, 326, 77, 293, 111, 327)(74, 290, 114, 330, 151, 367, 115, 331)(81, 297, 120, 336, 150, 366, 113, 329)(84, 300, 121, 337, 102, 318, 122, 338)(86, 302, 123, 339, 160, 376, 124, 340)(90, 306, 128, 344, 96, 312, 129, 345)(93, 309, 132, 348, 170, 386, 133, 349)(100, 316, 138, 354, 169, 385, 131, 347)(108, 324, 144, 360, 183, 399, 145, 361)(109, 325, 146, 362, 161, 377, 147, 363)(117, 333, 152, 368, 176, 392, 154, 370)(118, 334, 153, 369, 186, 402, 155, 371)(126, 342, 163, 379, 194, 410, 164, 380)(127, 343, 165, 381, 142, 358, 166, 382)(135, 351, 171, 387, 157, 373, 173, 389)(136, 352, 172, 388, 197, 413, 174, 390)(139, 355, 177, 393, 149, 365, 178, 394)(140, 356, 179, 395, 201, 417, 180, 396)(143, 359, 182, 398, 156, 372, 167, 383)(148, 364, 162, 378, 193, 409, 175, 391)(158, 374, 188, 404, 168, 384, 189, 405)(159, 375, 190, 406, 210, 426, 191, 407)(181, 397, 202, 418, 185, 401, 203, 419)(184, 400, 204, 420, 208, 424, 205, 421)(187, 403, 207, 423, 209, 425, 206, 422)(192, 408, 211, 427, 196, 412, 212, 428)(195, 411, 213, 429, 199, 415, 214, 430)(198, 414, 216, 432, 200, 416, 215, 431)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 226)(6, 228)(7, 219)(8, 231)(9, 220)(10, 221)(11, 236)(12, 222)(13, 239)(14, 241)(15, 224)(16, 244)(17, 246)(18, 247)(19, 249)(20, 227)(21, 252)(22, 254)(23, 229)(24, 257)(25, 230)(26, 260)(27, 262)(28, 232)(29, 265)(30, 233)(31, 234)(32, 270)(33, 235)(34, 273)(35, 275)(36, 237)(37, 278)(38, 238)(39, 281)(40, 283)(41, 240)(42, 271)(43, 287)(44, 242)(45, 290)(46, 243)(47, 293)(48, 277)(49, 245)(50, 297)(51, 299)(52, 300)(53, 302)(54, 248)(55, 258)(56, 306)(57, 250)(58, 309)(59, 251)(60, 312)(61, 264)(62, 253)(63, 316)(64, 318)(65, 255)(66, 311)(67, 256)(68, 315)(69, 324)(70, 325)(71, 259)(72, 317)(73, 329)(74, 261)(75, 321)(76, 301)(77, 263)(78, 333)(79, 334)(80, 303)(81, 266)(82, 307)(83, 267)(84, 268)(85, 292)(86, 269)(87, 296)(88, 342)(89, 343)(90, 272)(91, 298)(92, 347)(93, 274)(94, 339)(95, 282)(96, 276)(97, 351)(98, 352)(99, 284)(100, 279)(101, 288)(102, 280)(103, 355)(104, 356)(105, 291)(106, 358)(107, 359)(108, 285)(109, 286)(110, 364)(111, 365)(112, 361)(113, 289)(114, 363)(115, 368)(116, 369)(117, 294)(118, 295)(119, 372)(120, 373)(121, 374)(122, 375)(123, 310)(124, 377)(125, 378)(126, 304)(127, 305)(128, 383)(129, 384)(130, 380)(131, 308)(132, 382)(133, 387)(134, 388)(135, 313)(136, 314)(137, 391)(138, 392)(139, 319)(140, 320)(141, 397)(142, 322)(143, 323)(144, 395)(145, 328)(146, 400)(147, 330)(148, 326)(149, 327)(150, 401)(151, 386)(152, 331)(153, 332)(154, 403)(155, 396)(156, 335)(157, 336)(158, 337)(159, 338)(160, 408)(161, 340)(162, 341)(163, 406)(164, 346)(165, 411)(166, 348)(167, 344)(168, 345)(169, 412)(170, 367)(171, 349)(172, 350)(173, 414)(174, 407)(175, 353)(176, 354)(177, 415)(178, 416)(179, 360)(180, 371)(181, 357)(182, 419)(183, 420)(184, 362)(185, 366)(186, 422)(187, 370)(188, 424)(189, 425)(190, 379)(191, 390)(192, 376)(193, 428)(194, 429)(195, 381)(196, 385)(197, 431)(198, 389)(199, 393)(200, 394)(201, 427)(202, 426)(203, 398)(204, 399)(205, 432)(206, 402)(207, 430)(208, 404)(209, 405)(210, 418)(211, 417)(212, 409)(213, 410)(214, 423)(215, 413)(216, 421)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2322
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 54 e = 216 f = 126
	degree seq :: [ 8^54 ]

E19.2324 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C4) x S3 (small group id <216, 156>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, (T1 * T2 * T1^-1 * T2)^2, (T2 * T1^-1 * T2^2)^2, T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-2 * T1^2 * T2^-2 * T1^-2 * T2^-2 * T1^-1, T2^12, (T2 * T1^-1)^6 ]
Map::
	R = (1, 217, 3, 219, 10, 226, 24, 240, 52, 268, 97, 313, 156, 372, 112, 328, 64, 280, 32, 248, 14, 230, 5, 221)(2, 218, 7, 223, 17, 233, 38, 254, 76, 292, 130, 346, 188, 404, 140, 356, 84, 300, 44, 260, 20, 236, 8, 224)(4, 220, 12, 228, 27, 243, 57, 273, 105, 321, 162, 378, 199, 415, 148, 364, 91, 307, 48, 264, 22, 238, 9, 225)(6, 222, 15, 231, 33, 249, 66, 282, 116, 332, 172, 388, 209, 425, 180, 396, 124, 340, 72, 288, 36, 252, 16, 232)(11, 227, 26, 242, 54, 270, 31, 247, 63, 279, 111, 327, 167, 383, 202, 418, 153, 369, 95, 311, 50, 266, 23, 239)(13, 229, 29, 245, 60, 276, 108, 324, 165, 381, 204, 420, 155, 371, 96, 312, 51, 267, 25, 241, 53, 269, 30, 246)(18, 234, 40, 256, 78, 294, 43, 259, 83, 299, 139, 355, 195, 411, 213, 429, 185, 401, 128, 344, 74, 290, 37, 253)(19, 235, 41, 257, 80, 296, 136, 352, 193, 409, 215, 431, 187, 403, 129, 345, 75, 291, 39, 255, 77, 293, 42, 258)(21, 237, 45, 261, 85, 301, 141, 357, 197, 413, 212, 428, 190, 406, 161, 377, 104, 320, 58, 274, 88, 304, 46, 262)(28, 244, 59, 275, 90, 306, 47, 263, 89, 305, 146, 362, 181, 397, 211, 427, 206, 422, 160, 376, 103, 319, 56, 272)(34, 250, 68, 284, 118, 334, 71, 287, 123, 339, 179, 395, 149, 365, 200, 416, 208, 424, 170, 386, 114, 330, 65, 281)(35, 251, 69, 285, 120, 336, 177, 393, 210, 426, 201, 417, 158, 374, 171, 387, 115, 331, 67, 283, 117, 333, 70, 286)(49, 265, 92, 308, 121, 337, 175, 391, 207, 423, 169, 385, 113, 329, 107, 323, 61, 277, 100, 316, 150, 366, 93, 309)(55, 271, 101, 317, 152, 368, 94, 310, 151, 367, 178, 394, 122, 338, 173, 389, 168, 384, 205, 421, 159, 375, 99, 315)(62, 278, 98, 314, 157, 373, 203, 419, 154, 370, 174, 390, 119, 335, 176, 392, 164, 380, 109, 325, 166, 382, 110, 326)(73, 289, 125, 341, 86, 302, 142, 358, 198, 414, 145, 361, 102, 318, 135, 351, 81, 297, 133, 349, 182, 398, 126, 342)(79, 295, 134, 350, 184, 400, 127, 343, 183, 399, 144, 360, 87, 303, 143, 359, 196, 412, 216, 432, 191, 407, 132, 348)(82, 298, 131, 347, 189, 405, 214, 430, 186, 402, 147, 363, 106, 322, 163, 379, 192, 408, 137, 353, 194, 410, 138, 354)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 229)(6, 220)(7, 221)(8, 235)(9, 237)(10, 239)(11, 219)(12, 232)(13, 234)(14, 247)(15, 224)(16, 251)(17, 253)(18, 223)(19, 250)(20, 259)(21, 227)(22, 263)(23, 265)(24, 267)(25, 226)(26, 262)(27, 272)(28, 228)(29, 230)(30, 278)(31, 277)(32, 273)(33, 281)(34, 231)(35, 244)(36, 287)(37, 289)(38, 291)(39, 233)(40, 246)(41, 236)(42, 298)(43, 297)(44, 240)(45, 238)(46, 303)(47, 302)(48, 282)(49, 241)(50, 310)(51, 299)(52, 300)(53, 309)(54, 315)(55, 242)(56, 318)(57, 320)(58, 243)(59, 286)(60, 323)(61, 245)(62, 295)(63, 248)(64, 292)(65, 329)(66, 331)(67, 249)(68, 258)(69, 252)(70, 338)(71, 337)(72, 254)(73, 255)(74, 343)(75, 339)(76, 340)(77, 342)(78, 348)(79, 256)(80, 351)(81, 257)(82, 335)(83, 260)(84, 332)(85, 341)(86, 261)(87, 271)(88, 361)(89, 264)(90, 363)(91, 268)(92, 266)(93, 365)(94, 336)(95, 357)(96, 370)(97, 364)(98, 269)(99, 374)(100, 270)(101, 360)(102, 274)(103, 353)(104, 279)(105, 280)(106, 275)(107, 330)(108, 380)(109, 276)(110, 379)(111, 377)(112, 381)(113, 283)(114, 325)(115, 305)(116, 307)(117, 385)(118, 390)(119, 284)(120, 308)(121, 285)(122, 322)(123, 288)(124, 321)(125, 290)(126, 397)(127, 301)(128, 324)(129, 402)(130, 328)(131, 293)(132, 406)(133, 294)(134, 326)(135, 319)(136, 408)(137, 296)(138, 317)(139, 312)(140, 409)(141, 400)(142, 306)(143, 304)(144, 392)(145, 411)(146, 387)(147, 403)(148, 413)(149, 314)(150, 417)(151, 311)(152, 410)(153, 313)(154, 412)(155, 391)(156, 418)(157, 395)(158, 316)(159, 405)(160, 393)(161, 407)(162, 396)(163, 394)(164, 399)(165, 401)(166, 386)(167, 389)(168, 327)(169, 383)(170, 352)(171, 375)(172, 356)(173, 333)(174, 371)(175, 334)(176, 354)(177, 368)(178, 350)(179, 345)(180, 426)(181, 347)(182, 428)(183, 344)(184, 367)(185, 346)(186, 373)(187, 358)(188, 429)(189, 362)(190, 349)(191, 384)(192, 382)(193, 424)(194, 376)(195, 359)(196, 355)(197, 369)(198, 431)(199, 427)(200, 366)(201, 425)(202, 423)(203, 430)(204, 372)(205, 432)(206, 378)(207, 420)(208, 388)(209, 416)(210, 422)(211, 398)(212, 415)(213, 414)(214, 421)(215, 404)(216, 419)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2320
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 216 f = 162
	degree seq :: [ 24^18 ]

E19.2325 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C4) x S3 (small group id <216, 156>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T1^3 * T2 * T1)^2, (T2 * T1 * T2 * T1^-1)^3, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219)(2, 218, 6, 222)(4, 220, 9, 225)(5, 221, 12, 228)(7, 223, 16, 232)(8, 224, 17, 233)(10, 226, 21, 237)(11, 227, 24, 240)(13, 229, 28, 244)(14, 230, 29, 245)(15, 231, 32, 248)(18, 234, 36, 252)(19, 235, 39, 255)(20, 236, 33, 249)(22, 238, 43, 259)(23, 239, 46, 262)(25, 241, 50, 266)(26, 242, 51, 267)(27, 243, 54, 270)(30, 246, 57, 273)(31, 247, 60, 276)(34, 250, 64, 280)(35, 251, 67, 283)(37, 253, 70, 286)(38, 254, 72, 288)(40, 256, 75, 291)(41, 257, 77, 293)(42, 258, 73, 289)(44, 260, 59, 275)(45, 261, 81, 297)(47, 263, 83, 299)(48, 264, 84, 300)(49, 265, 86, 302)(52, 268, 89, 305)(53, 269, 91, 307)(55, 271, 94, 310)(56, 272, 97, 313)(58, 274, 100, 316)(61, 277, 104, 320)(62, 278, 105, 321)(63, 279, 108, 324)(65, 281, 109, 325)(66, 282, 111, 327)(68, 284, 115, 331)(69, 285, 112, 328)(71, 287, 110, 326)(74, 290, 113, 329)(76, 292, 124, 340)(78, 294, 102, 318)(79, 295, 116, 332)(80, 296, 127, 343)(82, 298, 129, 345)(85, 301, 133, 349)(87, 303, 137, 353)(88, 304, 140, 356)(90, 306, 143, 359)(92, 308, 145, 361)(93, 309, 146, 362)(95, 311, 148, 364)(96, 312, 149, 365)(98, 314, 152, 368)(99, 315, 150, 366)(101, 317, 153, 369)(103, 319, 155, 371)(106, 322, 158, 374)(107, 323, 160, 376)(114, 330, 168, 384)(117, 333, 166, 382)(118, 334, 163, 379)(119, 335, 171, 387)(120, 336, 164, 380)(121, 337, 157, 373)(122, 338, 161, 377)(123, 339, 172, 388)(125, 341, 162, 378)(126, 342, 177, 393)(128, 344, 178, 394)(130, 346, 180, 396)(131, 347, 181, 397)(132, 348, 183, 399)(134, 350, 186, 402)(135, 351, 188, 404)(136, 352, 189, 405)(138, 354, 191, 407)(139, 355, 192, 408)(141, 357, 195, 411)(142, 358, 193, 409)(144, 360, 196, 412)(147, 363, 198, 414)(151, 367, 202, 418)(154, 370, 203, 419)(156, 372, 201, 417)(159, 375, 200, 416)(165, 381, 184, 400)(167, 383, 208, 424)(169, 385, 209, 425)(170, 386, 204, 420)(173, 389, 206, 422)(174, 390, 207, 423)(175, 391, 197, 413)(176, 392, 205, 421)(179, 395, 210, 426)(182, 398, 211, 427)(185, 401, 212, 428)(187, 403, 213, 429)(190, 406, 214, 430)(194, 410, 216, 432)(199, 415, 215, 431)
	L = (1, 218)(2, 221)(3, 223)(4, 217)(5, 227)(6, 229)(7, 231)(8, 219)(9, 235)(10, 220)(11, 239)(12, 241)(13, 243)(14, 222)(15, 247)(16, 249)(17, 251)(18, 224)(19, 254)(20, 225)(21, 257)(22, 226)(23, 261)(24, 263)(25, 265)(26, 228)(27, 269)(28, 233)(29, 272)(30, 230)(31, 275)(32, 277)(33, 279)(34, 232)(35, 282)(36, 284)(37, 234)(38, 287)(39, 289)(40, 236)(41, 292)(42, 237)(43, 294)(44, 238)(45, 296)(46, 253)(47, 256)(48, 240)(49, 258)(50, 245)(51, 304)(52, 242)(53, 259)(54, 308)(55, 244)(56, 312)(57, 314)(58, 246)(59, 317)(60, 311)(61, 319)(62, 248)(63, 323)(64, 313)(65, 250)(66, 316)(67, 328)(68, 330)(69, 252)(70, 300)(71, 332)(72, 333)(73, 335)(74, 255)(75, 337)(76, 339)(77, 307)(78, 342)(79, 260)(80, 295)(81, 274)(82, 262)(83, 267)(84, 348)(85, 264)(86, 351)(87, 266)(88, 355)(89, 357)(90, 268)(91, 354)(92, 360)(93, 270)(94, 356)(95, 271)(96, 359)(97, 366)(98, 367)(99, 273)(100, 345)(101, 346)(102, 276)(103, 285)(104, 280)(105, 373)(106, 278)(107, 286)(108, 377)(109, 379)(110, 281)(111, 380)(112, 381)(113, 283)(114, 383)(115, 376)(116, 350)(117, 385)(118, 288)(119, 347)(120, 290)(121, 389)(122, 291)(123, 343)(124, 390)(125, 293)(126, 344)(127, 306)(128, 297)(129, 395)(130, 298)(131, 299)(132, 398)(133, 400)(134, 301)(135, 403)(136, 302)(137, 399)(138, 303)(139, 402)(140, 409)(141, 410)(142, 305)(143, 394)(144, 315)(145, 310)(146, 331)(147, 309)(148, 321)(149, 325)(150, 416)(151, 417)(152, 327)(153, 326)(154, 318)(155, 418)(156, 320)(157, 397)(158, 412)(159, 322)(160, 421)(161, 411)(162, 324)(163, 404)(164, 413)(165, 408)(166, 329)(167, 396)(168, 414)(169, 338)(170, 334)(171, 405)(172, 336)(173, 401)(174, 406)(175, 340)(176, 341)(177, 415)(178, 392)(179, 370)(180, 375)(181, 426)(182, 369)(183, 428)(184, 386)(185, 349)(186, 388)(187, 358)(188, 353)(189, 368)(190, 352)(191, 362)(192, 364)(193, 431)(194, 391)(195, 365)(196, 432)(197, 361)(198, 429)(199, 363)(200, 427)(201, 393)(202, 430)(203, 387)(204, 371)(205, 372)(206, 374)(207, 378)(208, 382)(209, 384)(210, 424)(211, 407)(212, 423)(213, 420)(214, 422)(215, 419)(216, 425)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2321
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 108 e = 216 f = 72
	degree seq :: [ 4^108 ]

E19.2326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) x S3 (small group id <216, 156>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * Y1 * Y2)^3, (Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1)^2, (Y2^-2 * Y1)^6, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 10, 226)(6, 222, 12, 228)(8, 224, 15, 231)(11, 227, 20, 236)(13, 229, 23, 239)(14, 230, 25, 241)(16, 232, 28, 244)(17, 233, 30, 246)(18, 234, 31, 247)(19, 235, 33, 249)(21, 237, 36, 252)(22, 238, 38, 254)(24, 240, 41, 257)(26, 242, 44, 260)(27, 243, 46, 262)(29, 245, 49, 265)(32, 248, 54, 270)(34, 250, 57, 273)(35, 251, 59, 275)(37, 253, 62, 278)(39, 255, 65, 281)(40, 256, 67, 283)(42, 258, 55, 271)(43, 259, 71, 287)(45, 261, 74, 290)(47, 263, 77, 293)(48, 264, 61, 277)(50, 266, 81, 297)(51, 267, 83, 299)(52, 268, 84, 300)(53, 269, 86, 302)(56, 272, 90, 306)(58, 274, 93, 309)(60, 276, 96, 312)(63, 279, 100, 316)(64, 280, 102, 318)(66, 282, 95, 311)(68, 284, 99, 315)(69, 285, 108, 324)(70, 286, 109, 325)(72, 288, 101, 317)(73, 289, 113, 329)(75, 291, 105, 321)(76, 292, 85, 301)(78, 294, 117, 333)(79, 295, 118, 334)(80, 296, 87, 303)(82, 298, 91, 307)(88, 304, 126, 342)(89, 305, 127, 343)(92, 308, 131, 347)(94, 310, 123, 339)(97, 313, 135, 351)(98, 314, 136, 352)(103, 319, 139, 355)(104, 320, 140, 356)(106, 322, 142, 358)(107, 323, 143, 359)(110, 326, 148, 364)(111, 327, 149, 365)(112, 328, 145, 361)(114, 330, 147, 363)(115, 331, 152, 368)(116, 332, 153, 369)(119, 335, 156, 372)(120, 336, 157, 373)(121, 337, 158, 374)(122, 338, 159, 375)(124, 340, 161, 377)(125, 341, 162, 378)(128, 344, 167, 383)(129, 345, 168, 384)(130, 346, 164, 380)(132, 348, 166, 382)(133, 349, 171, 387)(134, 350, 172, 388)(137, 353, 175, 391)(138, 354, 176, 392)(141, 357, 181, 397)(144, 360, 179, 395)(146, 362, 184, 400)(150, 366, 185, 401)(151, 367, 170, 386)(154, 370, 187, 403)(155, 371, 180, 396)(160, 376, 192, 408)(163, 379, 190, 406)(165, 381, 195, 411)(169, 385, 196, 412)(173, 389, 198, 414)(174, 390, 191, 407)(177, 393, 199, 415)(178, 394, 200, 416)(182, 398, 203, 419)(183, 399, 204, 420)(186, 402, 206, 422)(188, 404, 208, 424)(189, 405, 209, 425)(193, 409, 212, 428)(194, 410, 213, 429)(197, 413, 215, 431)(201, 417, 211, 427)(202, 418, 210, 426)(205, 421, 216, 432)(207, 423, 214, 430)(433, 649, 435, 651, 440, 656, 436, 652)(434, 650, 437, 653, 443, 659, 438, 654)(439, 655, 445, 661, 456, 672, 446, 662)(441, 657, 448, 664, 461, 677, 449, 665)(442, 658, 450, 666, 464, 680, 451, 667)(444, 660, 453, 669, 469, 685, 454, 670)(447, 663, 458, 674, 477, 693, 459, 675)(452, 668, 466, 682, 490, 706, 467, 683)(455, 671, 471, 687, 498, 714, 472, 688)(457, 673, 474, 690, 502, 718, 475, 691)(460, 676, 479, 695, 510, 726, 480, 696)(462, 678, 482, 698, 514, 730, 483, 699)(463, 679, 484, 700, 517, 733, 485, 701)(465, 681, 487, 703, 521, 737, 488, 704)(468, 684, 492, 708, 529, 745, 493, 709)(470, 686, 495, 711, 533, 749, 496, 712)(473, 689, 500, 716, 539, 755, 501, 717)(476, 692, 504, 720, 544, 760, 505, 721)(478, 694, 507, 723, 548, 764, 508, 724)(481, 697, 511, 727, 551, 767, 512, 728)(486, 702, 519, 735, 557, 773, 520, 736)(489, 705, 523, 739, 562, 778, 524, 740)(491, 707, 526, 742, 566, 782, 527, 743)(494, 710, 530, 746, 569, 785, 531, 747)(497, 713, 535, 751, 515, 731, 536, 752)(499, 715, 537, 753, 573, 789, 538, 754)(503, 719, 542, 758, 509, 725, 543, 759)(506, 722, 546, 762, 583, 799, 547, 763)(513, 729, 552, 768, 582, 798, 545, 761)(516, 732, 553, 769, 534, 750, 554, 770)(518, 734, 555, 771, 592, 808, 556, 772)(522, 738, 560, 776, 528, 744, 561, 777)(525, 741, 564, 780, 602, 818, 565, 781)(532, 748, 570, 786, 601, 817, 563, 779)(540, 756, 576, 792, 615, 831, 577, 793)(541, 757, 578, 794, 593, 809, 579, 795)(549, 765, 584, 800, 608, 824, 586, 802)(550, 766, 585, 801, 618, 834, 587, 803)(558, 774, 595, 811, 626, 842, 596, 812)(559, 775, 597, 813, 574, 790, 598, 814)(567, 783, 603, 819, 589, 805, 605, 821)(568, 784, 604, 820, 629, 845, 606, 822)(571, 787, 609, 825, 581, 797, 610, 826)(572, 788, 611, 827, 633, 849, 612, 828)(575, 791, 614, 830, 588, 804, 599, 815)(580, 796, 594, 810, 625, 841, 607, 823)(590, 806, 620, 836, 600, 816, 621, 837)(591, 807, 622, 838, 642, 858, 623, 839)(613, 829, 634, 850, 617, 833, 635, 851)(616, 832, 636, 852, 640, 856, 637, 853)(619, 835, 639, 855, 641, 857, 638, 854)(624, 840, 643, 859, 628, 844, 644, 860)(627, 843, 645, 861, 631, 847, 646, 862)(630, 846, 648, 864, 632, 848, 647, 863)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 442)(6, 444)(7, 435)(8, 447)(9, 436)(10, 437)(11, 452)(12, 438)(13, 455)(14, 457)(15, 440)(16, 460)(17, 462)(18, 463)(19, 465)(20, 443)(21, 468)(22, 470)(23, 445)(24, 473)(25, 446)(26, 476)(27, 478)(28, 448)(29, 481)(30, 449)(31, 450)(32, 486)(33, 451)(34, 489)(35, 491)(36, 453)(37, 494)(38, 454)(39, 497)(40, 499)(41, 456)(42, 487)(43, 503)(44, 458)(45, 506)(46, 459)(47, 509)(48, 493)(49, 461)(50, 513)(51, 515)(52, 516)(53, 518)(54, 464)(55, 474)(56, 522)(57, 466)(58, 525)(59, 467)(60, 528)(61, 480)(62, 469)(63, 532)(64, 534)(65, 471)(66, 527)(67, 472)(68, 531)(69, 540)(70, 541)(71, 475)(72, 533)(73, 545)(74, 477)(75, 537)(76, 517)(77, 479)(78, 549)(79, 550)(80, 519)(81, 482)(82, 523)(83, 483)(84, 484)(85, 508)(86, 485)(87, 512)(88, 558)(89, 559)(90, 488)(91, 514)(92, 563)(93, 490)(94, 555)(95, 498)(96, 492)(97, 567)(98, 568)(99, 500)(100, 495)(101, 504)(102, 496)(103, 571)(104, 572)(105, 507)(106, 574)(107, 575)(108, 501)(109, 502)(110, 580)(111, 581)(112, 577)(113, 505)(114, 579)(115, 584)(116, 585)(117, 510)(118, 511)(119, 588)(120, 589)(121, 590)(122, 591)(123, 526)(124, 593)(125, 594)(126, 520)(127, 521)(128, 599)(129, 600)(130, 596)(131, 524)(132, 598)(133, 603)(134, 604)(135, 529)(136, 530)(137, 607)(138, 608)(139, 535)(140, 536)(141, 613)(142, 538)(143, 539)(144, 611)(145, 544)(146, 616)(147, 546)(148, 542)(149, 543)(150, 617)(151, 602)(152, 547)(153, 548)(154, 619)(155, 612)(156, 551)(157, 552)(158, 553)(159, 554)(160, 624)(161, 556)(162, 557)(163, 622)(164, 562)(165, 627)(166, 564)(167, 560)(168, 561)(169, 628)(170, 583)(171, 565)(172, 566)(173, 630)(174, 623)(175, 569)(176, 570)(177, 631)(178, 632)(179, 576)(180, 587)(181, 573)(182, 635)(183, 636)(184, 578)(185, 582)(186, 638)(187, 586)(188, 640)(189, 641)(190, 595)(191, 606)(192, 592)(193, 644)(194, 645)(195, 597)(196, 601)(197, 647)(198, 605)(199, 609)(200, 610)(201, 643)(202, 642)(203, 614)(204, 615)(205, 648)(206, 618)(207, 646)(208, 620)(209, 621)(210, 634)(211, 633)(212, 625)(213, 626)(214, 639)(215, 629)(216, 637)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2329
Graph:: bipartite
	v = 162 e = 432 f = 234
	degree seq :: [ 4^108, 8^54 ]

E19.2327 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) x S3 (small group id <216, 156>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y2^-2 * Y1 * Y2^-1)^2, Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^2 * Y2^-1 * Y1 * Y2, Y2^12, (Y2 * Y1^-1)^6, Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y2^2 * Y1^-1 * Y2^-2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-2 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 21, 237, 11, 227)(5, 221, 13, 229, 18, 234, 7, 223)(8, 224, 19, 235, 34, 250, 15, 231)(10, 226, 23, 239, 49, 265, 25, 241)(12, 228, 16, 232, 35, 251, 28, 244)(14, 230, 31, 247, 61, 277, 29, 245)(17, 233, 37, 253, 73, 289, 39, 255)(20, 236, 43, 259, 81, 297, 41, 257)(22, 238, 47, 263, 86, 302, 45, 261)(24, 240, 51, 267, 83, 299, 44, 260)(26, 242, 46, 262, 87, 303, 55, 271)(27, 243, 56, 272, 102, 318, 58, 274)(30, 246, 62, 278, 79, 295, 40, 256)(32, 248, 57, 273, 104, 320, 63, 279)(33, 249, 65, 281, 113, 329, 67, 283)(36, 252, 71, 287, 121, 337, 69, 285)(38, 254, 75, 291, 123, 339, 72, 288)(42, 258, 82, 298, 119, 335, 68, 284)(48, 264, 66, 282, 115, 331, 89, 305)(50, 266, 94, 310, 120, 336, 92, 308)(52, 268, 84, 300, 116, 332, 91, 307)(53, 269, 93, 309, 149, 365, 98, 314)(54, 270, 99, 315, 158, 374, 100, 316)(59, 275, 70, 286, 122, 338, 106, 322)(60, 276, 107, 323, 114, 330, 109, 325)(64, 280, 76, 292, 124, 340, 105, 321)(74, 290, 127, 343, 85, 301, 125, 341)(77, 293, 126, 342, 181, 397, 131, 347)(78, 294, 132, 348, 190, 406, 133, 349)(80, 296, 135, 351, 103, 319, 137, 353)(88, 304, 145, 361, 195, 411, 143, 359)(90, 306, 147, 363, 187, 403, 142, 358)(95, 311, 141, 357, 184, 400, 151, 367)(96, 312, 154, 370, 196, 412, 139, 355)(97, 313, 148, 364, 197, 413, 153, 369)(101, 317, 144, 360, 176, 392, 138, 354)(108, 324, 164, 380, 183, 399, 128, 344)(110, 326, 163, 379, 178, 394, 134, 350)(111, 327, 161, 377, 191, 407, 168, 384)(112, 328, 165, 381, 185, 401, 130, 346)(117, 333, 169, 385, 167, 383, 173, 389)(118, 334, 174, 390, 155, 371, 175, 391)(129, 345, 186, 402, 157, 373, 179, 395)(136, 352, 192, 408, 166, 382, 170, 386)(140, 356, 193, 409, 208, 424, 172, 388)(146, 362, 171, 387, 159, 375, 189, 405)(150, 366, 201, 417, 209, 425, 200, 416)(152, 368, 194, 410, 160, 376, 177, 393)(156, 372, 202, 418, 207, 423, 204, 420)(162, 378, 180, 396, 210, 426, 206, 422)(182, 398, 212, 428, 199, 415, 211, 427)(188, 404, 213, 429, 198, 414, 215, 431)(203, 419, 214, 430, 205, 421, 216, 432)(433, 649, 435, 651, 442, 658, 456, 672, 484, 700, 529, 745, 588, 804, 544, 760, 496, 712, 464, 680, 446, 662, 437, 653)(434, 650, 439, 655, 449, 665, 470, 686, 508, 724, 562, 778, 620, 836, 572, 788, 516, 732, 476, 692, 452, 668, 440, 656)(436, 652, 444, 660, 459, 675, 489, 705, 537, 753, 594, 810, 631, 847, 580, 796, 523, 739, 480, 696, 454, 670, 441, 657)(438, 654, 447, 663, 465, 681, 498, 714, 548, 764, 604, 820, 641, 857, 612, 828, 556, 772, 504, 720, 468, 684, 448, 664)(443, 659, 458, 674, 486, 702, 463, 679, 495, 711, 543, 759, 599, 815, 634, 850, 585, 801, 527, 743, 482, 698, 455, 671)(445, 661, 461, 677, 492, 708, 540, 756, 597, 813, 636, 852, 587, 803, 528, 744, 483, 699, 457, 673, 485, 701, 462, 678)(450, 666, 472, 688, 510, 726, 475, 691, 515, 731, 571, 787, 627, 843, 645, 861, 617, 833, 560, 776, 506, 722, 469, 685)(451, 667, 473, 689, 512, 728, 568, 784, 625, 841, 647, 863, 619, 835, 561, 777, 507, 723, 471, 687, 509, 725, 474, 690)(453, 669, 477, 693, 517, 733, 573, 789, 629, 845, 644, 860, 622, 838, 593, 809, 536, 752, 490, 706, 520, 736, 478, 694)(460, 676, 491, 707, 522, 738, 479, 695, 521, 737, 578, 794, 613, 829, 643, 859, 638, 854, 592, 808, 535, 751, 488, 704)(466, 682, 500, 716, 550, 766, 503, 719, 555, 771, 611, 827, 581, 797, 632, 848, 640, 856, 602, 818, 546, 762, 497, 713)(467, 683, 501, 717, 552, 768, 609, 825, 642, 858, 633, 849, 590, 806, 603, 819, 547, 763, 499, 715, 549, 765, 502, 718)(481, 697, 524, 740, 553, 769, 607, 823, 639, 855, 601, 817, 545, 761, 539, 755, 493, 709, 532, 748, 582, 798, 525, 741)(487, 703, 533, 749, 584, 800, 526, 742, 583, 799, 610, 826, 554, 770, 605, 821, 600, 816, 637, 853, 591, 807, 531, 747)(494, 710, 530, 746, 589, 805, 635, 851, 586, 802, 606, 822, 551, 767, 608, 824, 596, 812, 541, 757, 598, 814, 542, 758)(505, 721, 557, 773, 518, 734, 574, 790, 630, 846, 577, 793, 534, 750, 567, 783, 513, 729, 565, 781, 614, 830, 558, 774)(511, 727, 566, 782, 616, 832, 559, 775, 615, 831, 576, 792, 519, 735, 575, 791, 628, 844, 648, 864, 623, 839, 564, 780)(514, 730, 563, 779, 621, 837, 646, 862, 618, 834, 579, 795, 538, 754, 595, 811, 624, 840, 569, 785, 626, 842, 570, 786)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 447)(7, 449)(8, 434)(9, 436)(10, 456)(11, 458)(12, 459)(13, 461)(14, 437)(15, 465)(16, 438)(17, 470)(18, 472)(19, 473)(20, 440)(21, 477)(22, 441)(23, 443)(24, 484)(25, 485)(26, 486)(27, 489)(28, 491)(29, 492)(30, 445)(31, 495)(32, 446)(33, 498)(34, 500)(35, 501)(36, 448)(37, 450)(38, 508)(39, 509)(40, 510)(41, 512)(42, 451)(43, 515)(44, 452)(45, 517)(46, 453)(47, 521)(48, 454)(49, 524)(50, 455)(51, 457)(52, 529)(53, 462)(54, 463)(55, 533)(56, 460)(57, 537)(58, 520)(59, 522)(60, 540)(61, 532)(62, 530)(63, 543)(64, 464)(65, 466)(66, 548)(67, 549)(68, 550)(69, 552)(70, 467)(71, 555)(72, 468)(73, 557)(74, 469)(75, 471)(76, 562)(77, 474)(78, 475)(79, 566)(80, 568)(81, 565)(82, 563)(83, 571)(84, 476)(85, 573)(86, 574)(87, 575)(88, 478)(89, 578)(90, 479)(91, 480)(92, 553)(93, 481)(94, 583)(95, 482)(96, 483)(97, 588)(98, 589)(99, 487)(100, 582)(101, 584)(102, 567)(103, 488)(104, 490)(105, 594)(106, 595)(107, 493)(108, 597)(109, 598)(110, 494)(111, 599)(112, 496)(113, 539)(114, 497)(115, 499)(116, 604)(117, 502)(118, 503)(119, 608)(120, 609)(121, 607)(122, 605)(123, 611)(124, 504)(125, 518)(126, 505)(127, 615)(128, 506)(129, 507)(130, 620)(131, 621)(132, 511)(133, 614)(134, 616)(135, 513)(136, 625)(137, 626)(138, 514)(139, 627)(140, 516)(141, 629)(142, 630)(143, 628)(144, 519)(145, 534)(146, 613)(147, 538)(148, 523)(149, 632)(150, 525)(151, 610)(152, 526)(153, 527)(154, 606)(155, 528)(156, 544)(157, 635)(158, 603)(159, 531)(160, 535)(161, 536)(162, 631)(163, 624)(164, 541)(165, 636)(166, 542)(167, 634)(168, 637)(169, 545)(170, 546)(171, 547)(172, 641)(173, 600)(174, 551)(175, 639)(176, 596)(177, 642)(178, 554)(179, 581)(180, 556)(181, 643)(182, 558)(183, 576)(184, 559)(185, 560)(186, 579)(187, 561)(188, 572)(189, 646)(190, 593)(191, 564)(192, 569)(193, 647)(194, 570)(195, 645)(196, 648)(197, 644)(198, 577)(199, 580)(200, 640)(201, 590)(202, 585)(203, 586)(204, 587)(205, 591)(206, 592)(207, 601)(208, 602)(209, 612)(210, 633)(211, 638)(212, 622)(213, 617)(214, 618)(215, 619)(216, 623)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2328
Graph:: bipartite
	v = 72 e = 432 f = 324
	degree seq :: [ 8^54, 24^18 ]

E19.2328 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) x S3 (small group id <216, 156>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y3^3 * Y2 * Y3)^2, (Y3 * Y2 * Y3^-1 * Y2)^3, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650)(435, 651, 439, 655)(436, 652, 441, 657)(437, 653, 443, 659)(438, 654, 445, 661)(440, 656, 449, 665)(442, 658, 453, 669)(444, 660, 457, 673)(446, 662, 461, 677)(447, 663, 460, 676)(448, 664, 464, 680)(450, 666, 468, 684)(451, 667, 470, 686)(452, 668, 455, 671)(454, 670, 475, 691)(456, 672, 478, 694)(458, 674, 482, 698)(459, 675, 484, 700)(462, 678, 489, 705)(463, 679, 491, 707)(465, 681, 495, 711)(466, 682, 494, 710)(467, 683, 498, 714)(469, 685, 490, 706)(471, 687, 505, 721)(472, 688, 507, 723)(473, 689, 508, 724)(474, 690, 503, 719)(476, 692, 483, 699)(477, 693, 512, 728)(479, 695, 516, 732)(480, 696, 515, 731)(481, 697, 519, 735)(485, 701, 526, 742)(486, 702, 528, 744)(487, 703, 529, 745)(488, 704, 524, 740)(492, 708, 535, 751)(493, 709, 514, 730)(496, 712, 527, 743)(497, 713, 541, 757)(499, 715, 544, 760)(500, 716, 543, 759)(501, 717, 531, 747)(502, 718, 540, 756)(504, 720, 525, 741)(506, 722, 517, 733)(509, 725, 556, 772)(510, 726, 522, 738)(511, 727, 552, 768)(513, 729, 561, 777)(518, 734, 567, 783)(520, 736, 570, 786)(521, 737, 569, 785)(523, 739, 566, 782)(530, 746, 582, 798)(532, 748, 578, 794)(533, 749, 580, 796)(534, 750, 581, 797)(536, 752, 565, 781)(537, 753, 589, 805)(538, 754, 577, 793)(539, 755, 562, 778)(542, 758, 579, 795)(545, 761, 588, 804)(546, 762, 599, 815)(547, 763, 598, 814)(548, 764, 601, 817)(549, 765, 576, 792)(550, 766, 575, 791)(551, 767, 564, 780)(553, 769, 568, 784)(554, 770, 559, 775)(555, 771, 560, 776)(557, 773, 602, 818)(558, 774, 609, 825)(563, 779, 614, 830)(571, 787, 613, 829)(572, 788, 624, 840)(573, 789, 623, 839)(574, 790, 626, 842)(583, 799, 627, 843)(584, 800, 634, 850)(585, 801, 621, 837)(586, 802, 632, 848)(587, 803, 631, 847)(590, 806, 617, 833)(591, 807, 636, 852)(592, 808, 615, 831)(593, 809, 629, 845)(594, 810, 620, 836)(595, 811, 619, 835)(596, 812, 610, 826)(597, 813, 630, 846)(600, 816, 639, 855)(603, 819, 633, 849)(604, 820, 618, 834)(605, 821, 622, 838)(606, 822, 612, 828)(607, 823, 611, 827)(608, 824, 628, 844)(616, 832, 643, 859)(625, 841, 646, 862)(635, 851, 648, 864)(637, 853, 645, 861)(638, 854, 644, 860)(640, 856, 647, 863)(641, 857, 642, 858)
	L = (1, 435)(2, 437)(3, 440)(4, 433)(5, 444)(6, 434)(7, 447)(8, 450)(9, 451)(10, 436)(11, 455)(12, 458)(13, 459)(14, 438)(15, 463)(16, 439)(17, 466)(18, 469)(19, 471)(20, 441)(21, 473)(22, 442)(23, 477)(24, 443)(25, 480)(26, 483)(27, 485)(28, 445)(29, 487)(30, 446)(31, 492)(32, 493)(33, 448)(34, 497)(35, 449)(36, 500)(37, 502)(38, 503)(39, 506)(40, 452)(41, 509)(42, 453)(43, 510)(44, 454)(45, 513)(46, 514)(47, 456)(48, 518)(49, 457)(50, 521)(51, 523)(52, 524)(53, 527)(54, 460)(55, 530)(56, 461)(57, 531)(58, 462)(59, 533)(60, 475)(61, 536)(62, 464)(63, 538)(64, 465)(65, 474)(66, 542)(67, 467)(68, 472)(69, 468)(70, 547)(71, 548)(72, 470)(73, 550)(74, 552)(75, 553)(76, 535)(77, 557)(78, 558)(79, 476)(80, 559)(81, 489)(82, 562)(83, 478)(84, 564)(85, 479)(86, 488)(87, 568)(88, 481)(89, 486)(90, 482)(91, 573)(92, 574)(93, 484)(94, 576)(95, 578)(96, 579)(97, 561)(98, 583)(99, 584)(100, 490)(101, 585)(102, 491)(103, 587)(104, 588)(105, 494)(106, 590)(107, 495)(108, 496)(109, 592)(110, 594)(111, 498)(112, 596)(113, 499)(114, 501)(115, 511)(116, 595)(117, 504)(118, 603)(119, 505)(120, 600)(121, 605)(122, 507)(123, 508)(124, 607)(125, 598)(126, 591)(127, 610)(128, 512)(129, 612)(130, 613)(131, 515)(132, 615)(133, 516)(134, 517)(135, 617)(136, 619)(137, 519)(138, 621)(139, 520)(140, 522)(141, 532)(142, 620)(143, 525)(144, 628)(145, 526)(146, 625)(147, 630)(148, 528)(149, 529)(150, 632)(151, 623)(152, 616)(153, 539)(154, 534)(155, 537)(156, 636)(157, 634)(158, 614)(159, 540)(160, 637)(161, 541)(162, 639)(163, 543)(164, 640)(165, 544)(166, 545)(167, 626)(168, 546)(169, 629)(170, 549)(171, 554)(172, 551)(173, 641)(174, 555)(175, 638)(176, 556)(177, 635)(178, 565)(179, 560)(180, 563)(181, 643)(182, 609)(183, 589)(184, 566)(185, 644)(186, 567)(187, 646)(188, 569)(189, 647)(190, 570)(191, 571)(192, 601)(193, 572)(194, 604)(195, 575)(196, 580)(197, 577)(198, 648)(199, 581)(200, 645)(201, 582)(202, 642)(203, 586)(204, 606)(205, 597)(206, 593)(207, 602)(208, 608)(209, 599)(210, 611)(211, 631)(212, 622)(213, 618)(214, 627)(215, 633)(216, 624)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2327
Graph:: simple bipartite
	v = 324 e = 432 f = 72
	degree seq :: [ 2^216, 4^108 ]

E19.2329 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) x S3 (small group id <216, 156>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3^2 * Y1 * Y3^2 * Y1^-1, Y3^2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-2 * Y1 * Y3^-2, (Y1 * Y3)^4, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-3, Y1^-3 * Y3^-1 * Y1^-4 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3, Y1^12 ]
Map:: polytopal
	R = (1, 217, 2, 218, 5, 221, 11, 227, 23, 239, 45, 261, 80, 296, 79, 295, 44, 260, 22, 238, 10, 226, 4, 220)(3, 219, 7, 223, 15, 231, 31, 247, 59, 275, 101, 317, 130, 346, 82, 298, 46, 262, 37, 253, 18, 234, 8, 224)(6, 222, 13, 229, 27, 243, 53, 269, 43, 259, 78, 294, 126, 342, 128, 344, 81, 297, 58, 274, 30, 246, 14, 230)(9, 225, 19, 235, 38, 254, 71, 287, 116, 332, 134, 350, 85, 301, 48, 264, 24, 240, 47, 263, 40, 256, 20, 236)(12, 228, 25, 241, 49, 265, 42, 258, 21, 237, 41, 257, 76, 292, 123, 339, 127, 343, 90, 306, 52, 268, 26, 242)(16, 232, 33, 249, 63, 279, 107, 323, 70, 286, 84, 300, 132, 348, 182, 398, 153, 369, 110, 326, 65, 281, 34, 250)(17, 233, 35, 251, 66, 282, 100, 316, 129, 345, 179, 395, 154, 370, 102, 318, 60, 276, 95, 311, 55, 271, 28, 244)(29, 245, 56, 272, 96, 312, 143, 359, 178, 394, 176, 392, 125, 341, 77, 293, 91, 307, 138, 354, 87, 303, 50, 266)(32, 248, 61, 277, 103, 319, 69, 285, 36, 252, 68, 284, 114, 330, 167, 383, 180, 396, 159, 375, 106, 322, 62, 278)(39, 255, 73, 289, 119, 335, 131, 347, 83, 299, 51, 267, 88, 304, 139, 355, 186, 402, 172, 388, 120, 336, 74, 290)(54, 270, 92, 308, 144, 360, 99, 315, 57, 273, 98, 314, 151, 367, 201, 417, 177, 393, 199, 415, 147, 363, 93, 309)(64, 280, 97, 313, 150, 366, 200, 416, 211, 427, 191, 407, 146, 362, 115, 331, 160, 376, 205, 421, 156, 372, 104, 320)(67, 283, 112, 328, 165, 381, 192, 408, 148, 364, 105, 321, 157, 373, 181, 397, 210, 426, 208, 424, 166, 382, 113, 329)(72, 288, 117, 333, 169, 385, 122, 338, 75, 291, 121, 337, 173, 389, 185, 401, 133, 349, 184, 400, 170, 386, 118, 334)(86, 302, 135, 351, 187, 403, 142, 358, 89, 305, 141, 357, 194, 410, 175, 391, 124, 340, 174, 390, 190, 406, 136, 352)(94, 310, 140, 356, 193, 409, 215, 431, 203, 419, 171, 387, 189, 405, 152, 368, 111, 327, 164, 380, 197, 413, 145, 361)(108, 324, 161, 377, 195, 411, 149, 365, 109, 325, 163, 379, 188, 404, 137, 353, 183, 399, 212, 428, 207, 423, 162, 378)(155, 371, 202, 418, 214, 430, 206, 422, 158, 374, 196, 412, 216, 432, 209, 425, 168, 384, 198, 414, 213, 429, 204, 420)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 438)(3, 433)(4, 441)(5, 444)(6, 434)(7, 448)(8, 449)(9, 436)(10, 453)(11, 456)(12, 437)(13, 460)(14, 461)(15, 464)(16, 439)(17, 440)(18, 468)(19, 471)(20, 465)(21, 442)(22, 475)(23, 478)(24, 443)(25, 482)(26, 483)(27, 486)(28, 445)(29, 446)(30, 489)(31, 492)(32, 447)(33, 452)(34, 496)(35, 499)(36, 450)(37, 502)(38, 504)(39, 451)(40, 507)(41, 509)(42, 505)(43, 454)(44, 491)(45, 513)(46, 455)(47, 515)(48, 516)(49, 518)(50, 457)(51, 458)(52, 521)(53, 523)(54, 459)(55, 526)(56, 529)(57, 462)(58, 532)(59, 476)(60, 463)(61, 536)(62, 537)(63, 540)(64, 466)(65, 541)(66, 543)(67, 467)(68, 547)(69, 544)(70, 469)(71, 542)(72, 470)(73, 474)(74, 545)(75, 472)(76, 556)(77, 473)(78, 534)(79, 548)(80, 559)(81, 477)(82, 561)(83, 479)(84, 480)(85, 565)(86, 481)(87, 569)(88, 572)(89, 484)(90, 575)(91, 485)(92, 577)(93, 578)(94, 487)(95, 580)(96, 581)(97, 488)(98, 584)(99, 582)(100, 490)(101, 585)(102, 510)(103, 587)(104, 493)(105, 494)(106, 590)(107, 592)(108, 495)(109, 497)(110, 503)(111, 498)(112, 501)(113, 506)(114, 600)(115, 500)(116, 511)(117, 598)(118, 595)(119, 603)(120, 596)(121, 589)(122, 593)(123, 604)(124, 508)(125, 594)(126, 609)(127, 512)(128, 610)(129, 514)(130, 612)(131, 613)(132, 615)(133, 517)(134, 618)(135, 620)(136, 621)(137, 519)(138, 623)(139, 624)(140, 520)(141, 627)(142, 625)(143, 522)(144, 628)(145, 524)(146, 525)(147, 630)(148, 527)(149, 528)(150, 531)(151, 634)(152, 530)(153, 533)(154, 635)(155, 535)(156, 633)(157, 553)(158, 538)(159, 632)(160, 539)(161, 554)(162, 557)(163, 550)(164, 552)(165, 616)(166, 549)(167, 640)(168, 546)(169, 641)(170, 636)(171, 551)(172, 555)(173, 638)(174, 639)(175, 629)(176, 637)(177, 558)(178, 560)(179, 642)(180, 562)(181, 563)(182, 643)(183, 564)(184, 597)(185, 644)(186, 566)(187, 645)(188, 567)(189, 568)(190, 646)(191, 570)(192, 571)(193, 574)(194, 648)(195, 573)(196, 576)(197, 607)(198, 579)(199, 647)(200, 591)(201, 588)(202, 583)(203, 586)(204, 602)(205, 608)(206, 605)(207, 606)(208, 599)(209, 601)(210, 611)(211, 614)(212, 617)(213, 619)(214, 622)(215, 631)(216, 626)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 8 ), ( 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 E19.2326
Graph:: simple bipartite
	v = 234 e = 432 f = 162
	degree seq :: [ 2^216, 24^18 ]

E19.2330 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) x S3 (small group id <216, 156>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * R * Y2 * R * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^4, Y2^-1 * R * Y2^4 * R * Y2^-3, (Y2^3 * Y1 * Y2)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * R * Y2^-1 * R * Y2^-1 * Y1, Y2^12, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 25, 241)(14, 230, 29, 245)(15, 231, 28, 244)(16, 232, 32, 248)(18, 234, 36, 252)(19, 235, 38, 254)(20, 236, 23, 239)(22, 238, 43, 259)(24, 240, 46, 262)(26, 242, 50, 266)(27, 243, 52, 268)(30, 246, 57, 273)(31, 247, 59, 275)(33, 249, 63, 279)(34, 250, 62, 278)(35, 251, 66, 282)(37, 253, 58, 274)(39, 255, 73, 289)(40, 256, 75, 291)(41, 257, 76, 292)(42, 258, 71, 287)(44, 260, 51, 267)(45, 261, 80, 296)(47, 263, 84, 300)(48, 264, 83, 299)(49, 265, 87, 303)(53, 269, 94, 310)(54, 270, 96, 312)(55, 271, 97, 313)(56, 272, 92, 308)(60, 276, 103, 319)(61, 277, 82, 298)(64, 280, 95, 311)(65, 281, 109, 325)(67, 283, 112, 328)(68, 284, 111, 327)(69, 285, 99, 315)(70, 286, 108, 324)(72, 288, 93, 309)(74, 290, 85, 301)(77, 293, 124, 340)(78, 294, 90, 306)(79, 295, 120, 336)(81, 297, 129, 345)(86, 302, 135, 351)(88, 304, 138, 354)(89, 305, 137, 353)(91, 307, 134, 350)(98, 314, 150, 366)(100, 316, 146, 362)(101, 317, 148, 364)(102, 318, 149, 365)(104, 320, 133, 349)(105, 321, 157, 373)(106, 322, 145, 361)(107, 323, 130, 346)(110, 326, 147, 363)(113, 329, 156, 372)(114, 330, 167, 383)(115, 331, 166, 382)(116, 332, 169, 385)(117, 333, 144, 360)(118, 334, 143, 359)(119, 335, 132, 348)(121, 337, 136, 352)(122, 338, 127, 343)(123, 339, 128, 344)(125, 341, 170, 386)(126, 342, 177, 393)(131, 347, 182, 398)(139, 355, 181, 397)(140, 356, 192, 408)(141, 357, 191, 407)(142, 358, 194, 410)(151, 367, 195, 411)(152, 368, 202, 418)(153, 369, 189, 405)(154, 370, 200, 416)(155, 371, 199, 415)(158, 374, 185, 401)(159, 375, 204, 420)(160, 376, 183, 399)(161, 377, 197, 413)(162, 378, 188, 404)(163, 379, 187, 403)(164, 380, 178, 394)(165, 381, 198, 414)(168, 384, 207, 423)(171, 387, 201, 417)(172, 388, 186, 402)(173, 389, 190, 406)(174, 390, 180, 396)(175, 391, 179, 395)(176, 392, 196, 412)(184, 400, 211, 427)(193, 409, 214, 430)(203, 419, 216, 432)(205, 421, 213, 429)(206, 422, 212, 428)(208, 424, 215, 431)(209, 425, 210, 426)(433, 649, 435, 651, 440, 656, 450, 666, 469, 685, 502, 718, 547, 763, 511, 727, 476, 692, 454, 670, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 458, 674, 483, 699, 523, 739, 573, 789, 532, 748, 490, 706, 462, 678, 446, 662, 438, 654)(439, 655, 447, 663, 463, 679, 492, 708, 475, 691, 510, 726, 558, 774, 591, 807, 540, 756, 496, 712, 465, 681, 448, 664)(441, 657, 451, 667, 471, 687, 506, 722, 552, 768, 600, 816, 546, 762, 501, 717, 468, 684, 500, 716, 472, 688, 452, 668)(443, 659, 455, 671, 477, 693, 513, 729, 489, 705, 531, 747, 584, 800, 616, 832, 566, 782, 517, 733, 479, 695, 456, 672)(445, 661, 459, 675, 485, 701, 527, 743, 578, 794, 625, 841, 572, 788, 522, 738, 482, 698, 521, 737, 486, 702, 460, 676)(449, 665, 466, 682, 497, 713, 474, 690, 453, 669, 473, 689, 509, 725, 557, 773, 598, 814, 545, 761, 499, 715, 467, 683)(457, 673, 480, 696, 518, 734, 488, 704, 461, 677, 487, 703, 530, 746, 583, 799, 623, 839, 571, 787, 520, 736, 481, 697)(464, 680, 493, 709, 536, 752, 588, 804, 636, 852, 606, 822, 555, 771, 508, 724, 535, 751, 587, 803, 537, 753, 494, 710)(470, 686, 503, 719, 548, 764, 595, 811, 543, 759, 498, 714, 542, 758, 594, 810, 639, 855, 602, 818, 549, 765, 504, 720)(478, 694, 514, 730, 562, 778, 613, 829, 643, 859, 631, 847, 581, 797, 529, 745, 561, 777, 612, 828, 563, 779, 515, 731)(484, 700, 524, 740, 574, 790, 620, 836, 569, 785, 519, 735, 568, 784, 619, 835, 646, 862, 627, 843, 575, 791, 525, 741)(491, 707, 533, 749, 585, 801, 539, 755, 495, 711, 538, 754, 590, 806, 614, 830, 609, 825, 635, 851, 586, 802, 534, 750)(505, 721, 550, 766, 603, 819, 554, 770, 507, 723, 553, 769, 605, 821, 641, 857, 599, 815, 626, 842, 604, 820, 551, 767)(512, 728, 559, 775, 610, 826, 565, 781, 516, 732, 564, 780, 615, 831, 589, 805, 634, 850, 642, 858, 611, 827, 560, 776)(526, 742, 576, 792, 628, 844, 580, 796, 528, 744, 579, 795, 630, 846, 648, 864, 624, 840, 601, 817, 629, 845, 577, 793)(541, 757, 592, 808, 637, 853, 597, 813, 544, 760, 596, 812, 640, 856, 608, 824, 556, 772, 607, 823, 638, 854, 593, 809)(567, 783, 617, 833, 644, 860, 622, 838, 570, 786, 621, 837, 647, 863, 633, 849, 582, 798, 632, 848, 645, 861, 618, 834)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 457)(13, 438)(14, 461)(15, 460)(16, 464)(17, 440)(18, 468)(19, 470)(20, 455)(21, 442)(22, 475)(23, 452)(24, 478)(25, 444)(26, 482)(27, 484)(28, 447)(29, 446)(30, 489)(31, 491)(32, 448)(33, 495)(34, 494)(35, 498)(36, 450)(37, 490)(38, 451)(39, 505)(40, 507)(41, 508)(42, 503)(43, 454)(44, 483)(45, 512)(46, 456)(47, 516)(48, 515)(49, 519)(50, 458)(51, 476)(52, 459)(53, 526)(54, 528)(55, 529)(56, 524)(57, 462)(58, 469)(59, 463)(60, 535)(61, 514)(62, 466)(63, 465)(64, 527)(65, 541)(66, 467)(67, 544)(68, 543)(69, 531)(70, 540)(71, 474)(72, 525)(73, 471)(74, 517)(75, 472)(76, 473)(77, 556)(78, 522)(79, 552)(80, 477)(81, 561)(82, 493)(83, 480)(84, 479)(85, 506)(86, 567)(87, 481)(88, 570)(89, 569)(90, 510)(91, 566)(92, 488)(93, 504)(94, 485)(95, 496)(96, 486)(97, 487)(98, 582)(99, 501)(100, 578)(101, 580)(102, 581)(103, 492)(104, 565)(105, 589)(106, 577)(107, 562)(108, 502)(109, 497)(110, 579)(111, 500)(112, 499)(113, 588)(114, 599)(115, 598)(116, 601)(117, 576)(118, 575)(119, 564)(120, 511)(121, 568)(122, 559)(123, 560)(124, 509)(125, 602)(126, 609)(127, 554)(128, 555)(129, 513)(130, 539)(131, 614)(132, 551)(133, 536)(134, 523)(135, 518)(136, 553)(137, 521)(138, 520)(139, 613)(140, 624)(141, 623)(142, 626)(143, 550)(144, 549)(145, 538)(146, 532)(147, 542)(148, 533)(149, 534)(150, 530)(151, 627)(152, 634)(153, 621)(154, 632)(155, 631)(156, 545)(157, 537)(158, 617)(159, 636)(160, 615)(161, 629)(162, 620)(163, 619)(164, 610)(165, 630)(166, 547)(167, 546)(168, 639)(169, 548)(170, 557)(171, 633)(172, 618)(173, 622)(174, 612)(175, 611)(176, 628)(177, 558)(178, 596)(179, 607)(180, 606)(181, 571)(182, 563)(183, 592)(184, 643)(185, 590)(186, 604)(187, 595)(188, 594)(189, 585)(190, 605)(191, 573)(192, 572)(193, 646)(194, 574)(195, 583)(196, 608)(197, 593)(198, 597)(199, 587)(200, 586)(201, 603)(202, 584)(203, 648)(204, 591)(205, 645)(206, 644)(207, 600)(208, 647)(209, 642)(210, 641)(211, 616)(212, 638)(213, 637)(214, 625)(215, 640)(216, 635)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 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 E19.2331
Graph:: bipartite
	v = 126 e = 432 f = 270
	degree seq :: [ 4^108, 24^18 ]

E19.2331 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) x S3 (small group id <216, 156>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, Y1 * Y3 * Y1^-3 * Y3, (R * Y2 * Y3^-1)^2, (Y3^3 * Y1^-1)^2, (Y3^-1 * Y1)^6, Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1^-2 * Y3 * Y1^-1 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 21, 237, 11, 227)(5, 221, 13, 229, 18, 234, 7, 223)(8, 224, 19, 235, 34, 250, 15, 231)(10, 226, 23, 239, 49, 265, 25, 241)(12, 228, 16, 232, 35, 251, 28, 244)(14, 230, 31, 247, 61, 277, 29, 245)(17, 233, 37, 253, 73, 289, 39, 255)(20, 236, 43, 259, 81, 297, 41, 257)(22, 238, 47, 263, 86, 302, 45, 261)(24, 240, 51, 267, 83, 299, 44, 260)(26, 242, 46, 262, 87, 303, 55, 271)(27, 243, 56, 272, 102, 318, 58, 274)(30, 246, 62, 278, 79, 295, 40, 256)(32, 248, 57, 273, 104, 320, 63, 279)(33, 249, 65, 281, 113, 329, 67, 283)(36, 252, 71, 287, 121, 337, 69, 285)(38, 254, 75, 291, 123, 339, 72, 288)(42, 258, 82, 298, 119, 335, 68, 284)(48, 264, 66, 282, 115, 331, 89, 305)(50, 266, 94, 310, 120, 336, 92, 308)(52, 268, 84, 300, 116, 332, 91, 307)(53, 269, 93, 309, 149, 365, 98, 314)(54, 270, 99, 315, 158, 374, 100, 316)(59, 275, 70, 286, 122, 338, 106, 322)(60, 276, 107, 323, 114, 330, 109, 325)(64, 280, 76, 292, 124, 340, 105, 321)(74, 290, 127, 343, 85, 301, 125, 341)(77, 293, 126, 342, 181, 397, 131, 347)(78, 294, 132, 348, 190, 406, 133, 349)(80, 296, 135, 351, 103, 319, 137, 353)(88, 304, 145, 361, 195, 411, 143, 359)(90, 306, 147, 363, 187, 403, 142, 358)(95, 311, 141, 357, 184, 400, 151, 367)(96, 312, 154, 370, 196, 412, 139, 355)(97, 313, 148, 364, 197, 413, 153, 369)(101, 317, 144, 360, 176, 392, 138, 354)(108, 324, 164, 380, 183, 399, 128, 344)(110, 326, 163, 379, 178, 394, 134, 350)(111, 327, 161, 377, 191, 407, 168, 384)(112, 328, 165, 381, 185, 401, 130, 346)(117, 333, 169, 385, 167, 383, 173, 389)(118, 334, 174, 390, 155, 371, 175, 391)(129, 345, 186, 402, 157, 373, 179, 395)(136, 352, 192, 408, 166, 382, 170, 386)(140, 356, 193, 409, 208, 424, 172, 388)(146, 362, 171, 387, 159, 375, 189, 405)(150, 366, 201, 417, 209, 425, 200, 416)(152, 368, 194, 410, 160, 376, 177, 393)(156, 372, 202, 418, 207, 423, 204, 420)(162, 378, 180, 396, 210, 426, 206, 422)(182, 398, 212, 428, 199, 415, 211, 427)(188, 404, 213, 429, 198, 414, 215, 431)(203, 419, 214, 430, 205, 421, 216, 432)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 447)(7, 449)(8, 434)(9, 436)(10, 456)(11, 458)(12, 459)(13, 461)(14, 437)(15, 465)(16, 438)(17, 470)(18, 472)(19, 473)(20, 440)(21, 477)(22, 441)(23, 443)(24, 484)(25, 485)(26, 486)(27, 489)(28, 491)(29, 492)(30, 445)(31, 495)(32, 446)(33, 498)(34, 500)(35, 501)(36, 448)(37, 450)(38, 508)(39, 509)(40, 510)(41, 512)(42, 451)(43, 515)(44, 452)(45, 517)(46, 453)(47, 521)(48, 454)(49, 524)(50, 455)(51, 457)(52, 529)(53, 462)(54, 463)(55, 533)(56, 460)(57, 537)(58, 520)(59, 522)(60, 540)(61, 532)(62, 530)(63, 543)(64, 464)(65, 466)(66, 548)(67, 549)(68, 550)(69, 552)(70, 467)(71, 555)(72, 468)(73, 557)(74, 469)(75, 471)(76, 562)(77, 474)(78, 475)(79, 566)(80, 568)(81, 565)(82, 563)(83, 571)(84, 476)(85, 573)(86, 574)(87, 575)(88, 478)(89, 578)(90, 479)(91, 480)(92, 553)(93, 481)(94, 583)(95, 482)(96, 483)(97, 588)(98, 589)(99, 487)(100, 582)(101, 584)(102, 567)(103, 488)(104, 490)(105, 594)(106, 595)(107, 493)(108, 597)(109, 598)(110, 494)(111, 599)(112, 496)(113, 539)(114, 497)(115, 499)(116, 604)(117, 502)(118, 503)(119, 608)(120, 609)(121, 607)(122, 605)(123, 611)(124, 504)(125, 518)(126, 505)(127, 615)(128, 506)(129, 507)(130, 620)(131, 621)(132, 511)(133, 614)(134, 616)(135, 513)(136, 625)(137, 626)(138, 514)(139, 627)(140, 516)(141, 629)(142, 630)(143, 628)(144, 519)(145, 534)(146, 613)(147, 538)(148, 523)(149, 632)(150, 525)(151, 610)(152, 526)(153, 527)(154, 606)(155, 528)(156, 544)(157, 635)(158, 603)(159, 531)(160, 535)(161, 536)(162, 631)(163, 624)(164, 541)(165, 636)(166, 542)(167, 634)(168, 637)(169, 545)(170, 546)(171, 547)(172, 641)(173, 600)(174, 551)(175, 639)(176, 596)(177, 642)(178, 554)(179, 581)(180, 556)(181, 643)(182, 558)(183, 576)(184, 559)(185, 560)(186, 579)(187, 561)(188, 572)(189, 646)(190, 593)(191, 564)(192, 569)(193, 647)(194, 570)(195, 645)(196, 648)(197, 644)(198, 577)(199, 580)(200, 640)(201, 590)(202, 585)(203, 586)(204, 587)(205, 591)(206, 592)(207, 601)(208, 602)(209, 612)(210, 633)(211, 638)(212, 622)(213, 617)(214, 618)(215, 619)(216, 623)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2330
Graph:: simple bipartite
	v = 270 e = 432 f = 126
	degree seq :: [ 2^216, 8^54 ]

E19.2332 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 10})
Quotient :: regular
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, T1^10, T1^10, (T1^-2 * T2 * T1^-3)^2, (T2 * T1 * T2 * T1^-1)^3, (T1^-1 * T2 * T1^2 * T2 * T1^-1)^2, (T1^-1 * T2 * T1 * T2 * T1^-3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 44, 22, 10, 4)(3, 7, 15, 31, 59, 84, 71, 37, 18, 8)(6, 13, 27, 53, 97, 83, 108, 58, 30, 14)(9, 19, 38, 72, 86, 46, 85, 77, 40, 20)(12, 25, 49, 91, 82, 43, 81, 96, 52, 26)(16, 33, 63, 115, 177, 128, 141, 118, 65, 34)(17, 35, 66, 119, 170, 109, 162, 102, 55, 28)(21, 41, 78, 90, 48, 24, 47, 87, 80, 42)(29, 56, 103, 163, 139, 155, 202, 150, 93, 50)(32, 61, 112, 146, 127, 70, 126, 153, 95, 62)(36, 68, 123, 173, 111, 60, 110, 142, 125, 69)(39, 74, 131, 191, 194, 140, 89, 144, 132, 75)(51, 94, 151, 137, 79, 136, 193, 196, 143, 88)(54, 99, 158, 138, 169, 107, 168, 198, 145, 100)(57, 105, 73, 130, 157, 98, 156, 135, 167, 106)(64, 104, 165, 213, 189, 221, 228, 207, 175, 113)(67, 121, 185, 215, 225, 211, 172, 217, 186, 122)(76, 133, 154, 205, 190, 129, 148, 92, 147, 134)(101, 152, 204, 229, 216, 183, 219, 174, 209, 159)(114, 176, 206, 160, 124, 187, 200, 166, 214, 171)(116, 179, 222, 188, 195, 182, 223, 234, 218, 180)(117, 181, 120, 184, 201, 178, 203, 161, 210, 164)(149, 197, 226, 236, 230, 212, 192, 208, 227, 199)(220, 233, 239, 240, 238, 232, 224, 235, 237, 231)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 73)(40, 76)(41, 79)(42, 74)(44, 83)(45, 84)(47, 88)(48, 89)(49, 92)(52, 95)(53, 98)(55, 101)(56, 104)(58, 107)(59, 109)(61, 113)(62, 114)(63, 116)(65, 117)(66, 120)(68, 124)(69, 121)(71, 128)(72, 129)(75, 122)(77, 135)(78, 123)(80, 138)(81, 139)(82, 136)(85, 140)(86, 141)(87, 142)(90, 145)(91, 146)(93, 149)(94, 152)(96, 154)(97, 155)(99, 159)(100, 160)(102, 161)(103, 164)(105, 166)(106, 165)(108, 170)(110, 171)(111, 172)(112, 174)(115, 178)(118, 182)(119, 183)(125, 188)(126, 189)(127, 187)(130, 186)(131, 192)(132, 184)(133, 176)(134, 179)(137, 180)(143, 195)(144, 197)(147, 199)(148, 200)(150, 201)(151, 203)(153, 204)(156, 206)(157, 207)(158, 208)(162, 211)(163, 212)(167, 215)(168, 216)(169, 214)(173, 218)(175, 220)(177, 221)(181, 196)(185, 224)(190, 223)(191, 210)(193, 219)(194, 225)(198, 226)(202, 228)(205, 230)(209, 231)(213, 232)(217, 233)(222, 235)(227, 237)(229, 238)(234, 239)(236, 240)
	local type(s) :: { ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E19.2333
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 24 e = 120 f = 60
	degree seq :: [ 10^24 ]

E19.2333 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 10})
Quotient :: regular
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T2 * T1^-1 * T2 * T1)^3, (T2 * T1^-1 * T2 * T1)^3, T2 * T1^-2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2, (T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2)^2, (T1^-1 * T2)^10 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 79, 49)(30, 50, 81, 51)(32, 53, 86, 54)(33, 55, 89, 56)(34, 57, 92, 58)(42, 69, 110, 70)(43, 63, 100, 71)(45, 73, 116, 74)(46, 75, 118, 76)(47, 77, 121, 78)(52, 84, 131, 85)(60, 96, 149, 97)(61, 90, 139, 98)(64, 101, 156, 102)(66, 104, 138, 105)(67, 106, 134, 107)(68, 108, 133, 109)(72, 114, 132, 115)(80, 125, 179, 126)(82, 128, 137, 88)(83, 129, 181, 130)(87, 135, 185, 136)(91, 140, 190, 141)(93, 143, 127, 144)(94, 145, 124, 146)(95, 147, 123, 148)(99, 153, 122, 154)(103, 159, 184, 142)(111, 167, 192, 168)(112, 162, 202, 152)(113, 169, 198, 170)(117, 174, 194, 157)(119, 176, 210, 161)(120, 177, 186, 178)(150, 200, 183, 201)(151, 195, 220, 188)(155, 205, 171, 191)(158, 207, 180, 208)(160, 209, 219, 196)(163, 204, 222, 199)(164, 193, 175, 211)(165, 212, 173, 187)(166, 197, 172, 206)(182, 189, 221, 203)(213, 223, 218, 228)(214, 230, 235, 229)(215, 231, 216, 224)(217, 225, 234, 226)(227, 232, 237, 233)(236, 239, 240, 238)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 72)(48, 80)(49, 74)(50, 82)(51, 83)(53, 87)(54, 88)(55, 90)(56, 91)(57, 93)(58, 94)(59, 95)(62, 99)(65, 103)(69, 111)(70, 112)(71, 113)(73, 117)(75, 119)(76, 120)(77, 122)(78, 123)(79, 124)(81, 127)(84, 132)(85, 133)(86, 134)(89, 138)(92, 142)(96, 150)(97, 151)(98, 152)(100, 155)(101, 157)(102, 158)(104, 160)(105, 161)(106, 162)(107, 163)(108, 164)(109, 165)(110, 166)(114, 171)(115, 172)(116, 173)(118, 175)(121, 159)(125, 180)(126, 169)(128, 176)(129, 182)(130, 183)(131, 184)(135, 186)(136, 187)(137, 188)(139, 189)(140, 191)(141, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(153, 203)(154, 204)(156, 206)(167, 213)(168, 214)(170, 215)(174, 216)(177, 217)(178, 218)(179, 211)(181, 209)(185, 219)(190, 222)(200, 223)(201, 224)(202, 225)(205, 226)(207, 227)(208, 228)(210, 229)(212, 230)(220, 232)(221, 233)(231, 236)(234, 238)(235, 239)(237, 240)
	local type(s) :: { ( 10^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2332
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 60 e = 120 f = 24
	degree seq :: [ 4^60 ]

E19.2334 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 10})
Quotient :: edge
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T2 * T1 * T2^-1 * T1)^3, T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1, T2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2, (T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1)^2, (T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, (T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2, (T2 * T1)^10 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 70, 43)(28, 47, 78, 48)(30, 50, 82, 51)(31, 52, 85, 53)(33, 55, 89, 56)(36, 60, 97, 61)(38, 63, 101, 64)(41, 68, 109, 69)(44, 72, 115, 73)(46, 75, 119, 76)(49, 79, 125, 80)(54, 87, 137, 88)(57, 91, 143, 92)(59, 94, 147, 95)(62, 98, 153, 99)(65, 103, 160, 104)(67, 106, 164, 107)(71, 112, 171, 113)(74, 117, 176, 118)(77, 121, 180, 122)(81, 127, 175, 116)(83, 129, 182, 130)(84, 131, 185, 132)(86, 134, 189, 135)(90, 140, 196, 141)(93, 145, 201, 146)(96, 149, 205, 150)(100, 155, 200, 144)(102, 157, 207, 158)(105, 162, 126, 163)(108, 165, 128, 166)(110, 167, 123, 168)(111, 169, 124, 170)(114, 173, 217, 174)(120, 177, 218, 178)(133, 187, 154, 188)(136, 190, 156, 191)(138, 192, 151, 193)(139, 194, 152, 195)(142, 198, 227, 199)(148, 202, 228, 203)(159, 209, 183, 210)(161, 211, 229, 212)(172, 215, 179, 216)(181, 213, 230, 214)(184, 219, 208, 220)(186, 221, 232, 222)(197, 225, 204, 226)(206, 223, 233, 224)(231, 235, 239, 236)(234, 237, 240, 238)(241, 242)(243, 247)(244, 249)(245, 250)(246, 252)(248, 255)(251, 260)(253, 263)(254, 265)(256, 268)(257, 270)(258, 271)(259, 273)(261, 276)(262, 278)(264, 281)(266, 284)(267, 286)(269, 289)(272, 294)(274, 297)(275, 299)(277, 302)(279, 305)(280, 307)(282, 295)(283, 311)(285, 314)(287, 317)(288, 301)(290, 321)(291, 323)(292, 324)(293, 326)(296, 330)(298, 333)(300, 336)(303, 340)(304, 342)(306, 345)(308, 348)(309, 350)(310, 351)(312, 354)(313, 356)(315, 346)(316, 360)(318, 363)(319, 364)(320, 366)(322, 368)(325, 373)(327, 376)(328, 378)(329, 379)(331, 382)(332, 384)(334, 374)(335, 388)(337, 391)(338, 392)(339, 394)(341, 396)(343, 399)(344, 401)(347, 375)(349, 386)(352, 390)(353, 412)(355, 387)(357, 393)(358, 377)(359, 383)(361, 419)(362, 380)(365, 385)(367, 395)(369, 421)(370, 423)(371, 424)(372, 426)(381, 437)(389, 444)(397, 446)(398, 448)(400, 443)(402, 427)(403, 436)(404, 453)(405, 430)(406, 445)(407, 451)(408, 439)(409, 454)(410, 442)(411, 428)(413, 447)(414, 433)(415, 452)(416, 441)(417, 435)(418, 425)(420, 431)(422, 438)(429, 463)(432, 461)(434, 464)(440, 462)(449, 459)(450, 466)(455, 471)(456, 460)(457, 467)(458, 468)(465, 474)(469, 475)(470, 476)(472, 477)(473, 478)(479, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 20, 20 ), ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2338
Transitivity :: ET+
Graph:: simple bipartite
	v = 180 e = 240 f = 24
	degree seq :: [ 2^120, 4^60 ]

E19.2335 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 10})
Quotient :: edge
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2^3 * T1^-1 * T2)^2, T2^10, (T2 * T1^-1 * T2 * T1^-1 * T2)^2, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-3 * T1^-1, T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1^-2 * T2^-2 * T1^-1, T2^2 * T1^-1 * T2^-1 * T1 * T2^4 * T1^-1 * T2^-2 * T1^-1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 108, 68, 32, 14, 5)(2, 7, 17, 38, 80, 153, 92, 44, 20, 8)(4, 12, 27, 58, 117, 177, 100, 48, 22, 9)(6, 15, 33, 70, 133, 199, 145, 76, 36, 16)(11, 26, 55, 112, 67, 129, 180, 104, 50, 23)(13, 29, 61, 123, 184, 107, 53, 109, 64, 30)(18, 40, 83, 157, 91, 166, 213, 149, 78, 37)(19, 41, 85, 160, 216, 152, 81, 154, 88, 42)(21, 45, 93, 167, 221, 190, 118, 171, 96, 46)(25, 54, 110, 66, 31, 65, 127, 161, 106, 51)(28, 60, 120, 176, 99, 175, 224, 183, 115, 57)(34, 72, 136, 203, 144, 210, 228, 195, 131, 69)(35, 73, 138, 205, 229, 198, 134, 200, 141, 74)(39, 82, 155, 90, 43, 89, 164, 103, 151, 79)(47, 97, 172, 124, 189, 116, 59, 119, 174, 98)(49, 101, 139, 206, 193, 128, 186, 196, 178, 102)(56, 113, 63, 126, 179, 225, 235, 226, 185, 111)(62, 125, 192, 209, 182, 105, 181, 194, 130, 122)(71, 135, 201, 143, 75, 142, 208, 148, 197, 132)(77, 146, 94, 168, 220, 165, 218, 188, 211, 147)(84, 158, 87, 163, 212, 231, 238, 232, 217, 156)(86, 162, 219, 173, 215, 150, 214, 187, 114, 159)(95, 169, 223, 234, 239, 233, 222, 191, 121, 170)(137, 204, 140, 207, 227, 236, 240, 237, 230, 202)(241, 242, 246, 244)(243, 249, 261, 251)(245, 253, 258, 247)(248, 259, 274, 255)(250, 263, 289, 265)(252, 256, 275, 268)(254, 271, 302, 269)(257, 277, 317, 279)(260, 283, 326, 281)(262, 287, 334, 285)(264, 291, 345, 293)(266, 286, 335, 296)(267, 297, 354, 299)(270, 303, 324, 280)(272, 307, 368, 305)(273, 309, 370, 311)(276, 315, 379, 313)(278, 319, 390, 321)(282, 327, 377, 312)(284, 331, 405, 329)(288, 339, 413, 337)(290, 343, 378, 341)(292, 347, 406, 332)(294, 342, 403, 328)(295, 351, 402, 330)(298, 356, 428, 358)(300, 314, 380, 361)(301, 362, 371, 364)(304, 359, 427, 366)(306, 360, 431, 365)(308, 357, 430, 369)(310, 372, 436, 374)(316, 384, 449, 382)(318, 388, 333, 386)(320, 392, 450, 385)(322, 387, 447, 381)(323, 396, 446, 383)(325, 399, 355, 401)(336, 375, 434, 409)(338, 376, 442, 408)(340, 373, 438, 415)(344, 419, 454, 391)(346, 423, 463, 421)(348, 393, 439, 417)(349, 422, 443, 414)(350, 394, 455, 416)(352, 395, 440, 426)(353, 410, 444, 398)(363, 412, 459, 425)(367, 433, 457, 400)(389, 452, 418, 437)(397, 441, 411, 458)(404, 460, 470, 445)(407, 448, 432, 462)(420, 461, 473, 465)(424, 466, 471, 453)(429, 435, 467, 451)(456, 472, 476, 468)(464, 469, 477, 474)(475, 479, 480, 478)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4^4 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E19.2339
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 240 f = 120
	degree seq :: [ 4^60, 10^24 ]

E19.2336 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 10})
Quotient :: edge
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^10, (T1^-1 * T2 * T1^-4)^2, T1^4 * T2 * T1^-5 * T2 * T1, (T1^-1 * T2 * T1^2 * T2 * T1^-1)^2, (T2 * T1 * T2 * T1^-1)^3, (T1^-2 * T2 * T1^-2 * T2 * T1^-1)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 73)(40, 76)(41, 79)(42, 74)(44, 83)(45, 84)(47, 88)(48, 89)(49, 92)(52, 95)(53, 98)(55, 101)(56, 104)(58, 107)(59, 109)(61, 113)(62, 114)(63, 116)(65, 117)(66, 120)(68, 124)(69, 121)(71, 128)(72, 129)(75, 122)(77, 135)(78, 123)(80, 138)(81, 139)(82, 136)(85, 140)(86, 141)(87, 142)(90, 145)(91, 146)(93, 149)(94, 152)(96, 154)(97, 155)(99, 159)(100, 160)(102, 161)(103, 164)(105, 166)(106, 165)(108, 170)(110, 171)(111, 172)(112, 174)(115, 178)(118, 182)(119, 183)(125, 188)(126, 189)(127, 187)(130, 186)(131, 192)(132, 184)(133, 176)(134, 179)(137, 180)(143, 195)(144, 197)(147, 199)(148, 200)(150, 201)(151, 203)(153, 204)(156, 206)(157, 207)(158, 208)(162, 211)(163, 212)(167, 215)(168, 216)(169, 214)(173, 218)(175, 220)(177, 221)(181, 196)(185, 224)(190, 223)(191, 210)(193, 219)(194, 225)(198, 226)(202, 228)(205, 230)(209, 231)(213, 232)(217, 233)(222, 235)(227, 237)(229, 238)(234, 239)(236, 240)(241, 242, 245, 251, 263, 285, 284, 262, 250, 244)(243, 247, 255, 271, 299, 324, 311, 277, 258, 248)(246, 253, 267, 293, 337, 323, 348, 298, 270, 254)(249, 259, 278, 312, 326, 286, 325, 317, 280, 260)(252, 265, 289, 331, 322, 283, 321, 336, 292, 266)(256, 273, 303, 355, 417, 368, 381, 358, 305, 274)(257, 275, 306, 359, 410, 349, 402, 342, 295, 268)(261, 281, 318, 330, 288, 264, 287, 327, 320, 282)(269, 296, 343, 403, 379, 395, 442, 390, 333, 290)(272, 301, 352, 386, 367, 310, 366, 393, 335, 302)(276, 308, 363, 413, 351, 300, 350, 382, 365, 309)(279, 314, 371, 431, 434, 380, 329, 384, 372, 315)(291, 334, 391, 377, 319, 376, 433, 436, 383, 328)(294, 339, 398, 378, 409, 347, 408, 438, 385, 340)(297, 345, 313, 370, 397, 338, 396, 375, 407, 346)(304, 344, 405, 453, 429, 461, 468, 447, 415, 353)(307, 361, 425, 455, 465, 451, 412, 457, 426, 362)(316, 373, 394, 445, 430, 369, 388, 332, 387, 374)(341, 392, 444, 469, 456, 423, 459, 414, 449, 399)(354, 416, 446, 400, 364, 427, 440, 406, 454, 411)(356, 419, 462, 428, 435, 422, 463, 474, 458, 420)(357, 421, 360, 424, 441, 418, 443, 401, 450, 404)(389, 437, 466, 476, 470, 452, 432, 448, 467, 439)(460, 473, 479, 480, 478, 472, 464, 475, 477, 471)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 8 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E19.2337
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 240 f = 60
	degree seq :: [ 2^120, 10^24 ]

E19.2337 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 10})
Quotient :: loop
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T2 * T1 * T2^-1 * T1)^3, T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1, T2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2, (T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1)^2, (T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, (T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2, (T2 * T1)^10 ]
Map::
	R = (1, 241, 3, 243, 8, 248, 4, 244)(2, 242, 5, 245, 11, 251, 6, 246)(7, 247, 13, 253, 24, 264, 14, 254)(9, 249, 16, 256, 29, 269, 17, 257)(10, 250, 18, 258, 32, 272, 19, 259)(12, 252, 21, 261, 37, 277, 22, 262)(15, 255, 26, 266, 45, 285, 27, 267)(20, 260, 34, 274, 58, 298, 35, 275)(23, 263, 39, 279, 66, 306, 40, 280)(25, 265, 42, 282, 70, 310, 43, 283)(28, 268, 47, 287, 78, 318, 48, 288)(30, 270, 50, 290, 82, 322, 51, 291)(31, 271, 52, 292, 85, 325, 53, 293)(33, 273, 55, 295, 89, 329, 56, 296)(36, 276, 60, 300, 97, 337, 61, 301)(38, 278, 63, 303, 101, 341, 64, 304)(41, 281, 68, 308, 109, 349, 69, 309)(44, 284, 72, 312, 115, 355, 73, 313)(46, 286, 75, 315, 119, 359, 76, 316)(49, 289, 79, 319, 125, 365, 80, 320)(54, 294, 87, 327, 137, 377, 88, 328)(57, 297, 91, 331, 143, 383, 92, 332)(59, 299, 94, 334, 147, 387, 95, 335)(62, 302, 98, 338, 153, 393, 99, 339)(65, 305, 103, 343, 160, 400, 104, 344)(67, 307, 106, 346, 164, 404, 107, 347)(71, 311, 112, 352, 171, 411, 113, 353)(74, 314, 117, 357, 176, 416, 118, 358)(77, 317, 121, 361, 180, 420, 122, 362)(81, 321, 127, 367, 175, 415, 116, 356)(83, 323, 129, 369, 182, 422, 130, 370)(84, 324, 131, 371, 185, 425, 132, 372)(86, 326, 134, 374, 189, 429, 135, 375)(90, 330, 140, 380, 196, 436, 141, 381)(93, 333, 145, 385, 201, 441, 146, 386)(96, 336, 149, 389, 205, 445, 150, 390)(100, 340, 155, 395, 200, 440, 144, 384)(102, 342, 157, 397, 207, 447, 158, 398)(105, 345, 162, 402, 126, 366, 163, 403)(108, 348, 165, 405, 128, 368, 166, 406)(110, 350, 167, 407, 123, 363, 168, 408)(111, 351, 169, 409, 124, 364, 170, 410)(114, 354, 173, 413, 217, 457, 174, 414)(120, 360, 177, 417, 218, 458, 178, 418)(133, 373, 187, 427, 154, 394, 188, 428)(136, 376, 190, 430, 156, 396, 191, 431)(138, 378, 192, 432, 151, 391, 193, 433)(139, 379, 194, 434, 152, 392, 195, 435)(142, 382, 198, 438, 227, 467, 199, 439)(148, 388, 202, 442, 228, 468, 203, 443)(159, 399, 209, 449, 183, 423, 210, 450)(161, 401, 211, 451, 229, 469, 212, 452)(172, 412, 215, 455, 179, 419, 216, 456)(181, 421, 213, 453, 230, 470, 214, 454)(184, 424, 219, 459, 208, 448, 220, 460)(186, 426, 221, 461, 232, 472, 222, 462)(197, 437, 225, 465, 204, 444, 226, 466)(206, 446, 223, 463, 233, 473, 224, 464)(231, 471, 235, 475, 239, 479, 236, 476)(234, 474, 237, 477, 240, 480, 238, 478)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 250)(6, 252)(7, 243)(8, 255)(9, 244)(10, 245)(11, 260)(12, 246)(13, 263)(14, 265)(15, 248)(16, 268)(17, 270)(18, 271)(19, 273)(20, 251)(21, 276)(22, 278)(23, 253)(24, 281)(25, 254)(26, 284)(27, 286)(28, 256)(29, 289)(30, 257)(31, 258)(32, 294)(33, 259)(34, 297)(35, 299)(36, 261)(37, 302)(38, 262)(39, 305)(40, 307)(41, 264)(42, 295)(43, 311)(44, 266)(45, 314)(46, 267)(47, 317)(48, 301)(49, 269)(50, 321)(51, 323)(52, 324)(53, 326)(54, 272)(55, 282)(56, 330)(57, 274)(58, 333)(59, 275)(60, 336)(61, 288)(62, 277)(63, 340)(64, 342)(65, 279)(66, 345)(67, 280)(68, 348)(69, 350)(70, 351)(71, 283)(72, 354)(73, 356)(74, 285)(75, 346)(76, 360)(77, 287)(78, 363)(79, 364)(80, 366)(81, 290)(82, 368)(83, 291)(84, 292)(85, 373)(86, 293)(87, 376)(88, 378)(89, 379)(90, 296)(91, 382)(92, 384)(93, 298)(94, 374)(95, 388)(96, 300)(97, 391)(98, 392)(99, 394)(100, 303)(101, 396)(102, 304)(103, 399)(104, 401)(105, 306)(106, 315)(107, 375)(108, 308)(109, 386)(110, 309)(111, 310)(112, 390)(113, 412)(114, 312)(115, 387)(116, 313)(117, 393)(118, 377)(119, 383)(120, 316)(121, 419)(122, 380)(123, 318)(124, 319)(125, 385)(126, 320)(127, 395)(128, 322)(129, 421)(130, 423)(131, 424)(132, 426)(133, 325)(134, 334)(135, 347)(136, 327)(137, 358)(138, 328)(139, 329)(140, 362)(141, 437)(142, 331)(143, 359)(144, 332)(145, 365)(146, 349)(147, 355)(148, 335)(149, 444)(150, 352)(151, 337)(152, 338)(153, 357)(154, 339)(155, 367)(156, 341)(157, 446)(158, 448)(159, 343)(160, 443)(161, 344)(162, 427)(163, 436)(164, 453)(165, 430)(166, 445)(167, 451)(168, 439)(169, 454)(170, 442)(171, 428)(172, 353)(173, 447)(174, 433)(175, 452)(176, 441)(177, 435)(178, 425)(179, 361)(180, 431)(181, 369)(182, 438)(183, 370)(184, 371)(185, 418)(186, 372)(187, 402)(188, 411)(189, 463)(190, 405)(191, 420)(192, 461)(193, 414)(194, 464)(195, 417)(196, 403)(197, 381)(198, 422)(199, 408)(200, 462)(201, 416)(202, 410)(203, 400)(204, 389)(205, 406)(206, 397)(207, 413)(208, 398)(209, 459)(210, 466)(211, 407)(212, 415)(213, 404)(214, 409)(215, 471)(216, 460)(217, 467)(218, 468)(219, 449)(220, 456)(221, 432)(222, 440)(223, 429)(224, 434)(225, 474)(226, 450)(227, 457)(228, 458)(229, 475)(230, 476)(231, 455)(232, 477)(233, 478)(234, 465)(235, 469)(236, 470)(237, 472)(238, 473)(239, 480)(240, 479)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.2336
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 60 e = 240 f = 144
	degree seq :: [ 8^60 ]

E19.2338 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 10})
Quotient :: loop
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2^3 * T1^-1 * T2)^2, T2^10, (T2 * T1^-1 * T2 * T1^-1 * T2)^2, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-3 * T1^-1, T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1^-2 * T2^-2 * T1^-1, T2^2 * T1^-1 * T2^-1 * T1 * T2^4 * T1^-1 * T2^-2 * T1^-1 * T2 ]
Map::
	R = (1, 241, 3, 243, 10, 250, 24, 264, 52, 292, 108, 348, 68, 308, 32, 272, 14, 254, 5, 245)(2, 242, 7, 247, 17, 257, 38, 278, 80, 320, 153, 393, 92, 332, 44, 284, 20, 260, 8, 248)(4, 244, 12, 252, 27, 267, 58, 298, 117, 357, 177, 417, 100, 340, 48, 288, 22, 262, 9, 249)(6, 246, 15, 255, 33, 273, 70, 310, 133, 373, 199, 439, 145, 385, 76, 316, 36, 276, 16, 256)(11, 251, 26, 266, 55, 295, 112, 352, 67, 307, 129, 369, 180, 420, 104, 344, 50, 290, 23, 263)(13, 253, 29, 269, 61, 301, 123, 363, 184, 424, 107, 347, 53, 293, 109, 349, 64, 304, 30, 270)(18, 258, 40, 280, 83, 323, 157, 397, 91, 331, 166, 406, 213, 453, 149, 389, 78, 318, 37, 277)(19, 259, 41, 281, 85, 325, 160, 400, 216, 456, 152, 392, 81, 321, 154, 394, 88, 328, 42, 282)(21, 261, 45, 285, 93, 333, 167, 407, 221, 461, 190, 430, 118, 358, 171, 411, 96, 336, 46, 286)(25, 265, 54, 294, 110, 350, 66, 306, 31, 271, 65, 305, 127, 367, 161, 401, 106, 346, 51, 291)(28, 268, 60, 300, 120, 360, 176, 416, 99, 339, 175, 415, 224, 464, 183, 423, 115, 355, 57, 297)(34, 274, 72, 312, 136, 376, 203, 443, 144, 384, 210, 450, 228, 468, 195, 435, 131, 371, 69, 309)(35, 275, 73, 313, 138, 378, 205, 445, 229, 469, 198, 438, 134, 374, 200, 440, 141, 381, 74, 314)(39, 279, 82, 322, 155, 395, 90, 330, 43, 283, 89, 329, 164, 404, 103, 343, 151, 391, 79, 319)(47, 287, 97, 337, 172, 412, 124, 364, 189, 429, 116, 356, 59, 299, 119, 359, 174, 414, 98, 338)(49, 289, 101, 341, 139, 379, 206, 446, 193, 433, 128, 368, 186, 426, 196, 436, 178, 418, 102, 342)(56, 296, 113, 353, 63, 303, 126, 366, 179, 419, 225, 465, 235, 475, 226, 466, 185, 425, 111, 351)(62, 302, 125, 365, 192, 432, 209, 449, 182, 422, 105, 345, 181, 421, 194, 434, 130, 370, 122, 362)(71, 311, 135, 375, 201, 441, 143, 383, 75, 315, 142, 382, 208, 448, 148, 388, 197, 437, 132, 372)(77, 317, 146, 386, 94, 334, 168, 408, 220, 460, 165, 405, 218, 458, 188, 428, 211, 451, 147, 387)(84, 324, 158, 398, 87, 327, 163, 403, 212, 452, 231, 471, 238, 478, 232, 472, 217, 457, 156, 396)(86, 326, 162, 402, 219, 459, 173, 413, 215, 455, 150, 390, 214, 454, 187, 427, 114, 354, 159, 399)(95, 335, 169, 409, 223, 463, 234, 474, 239, 479, 233, 473, 222, 462, 191, 431, 121, 361, 170, 410)(137, 377, 204, 444, 140, 380, 207, 447, 227, 467, 236, 476, 240, 480, 237, 477, 230, 470, 202, 442)
	L = (1, 242)(2, 246)(3, 249)(4, 241)(5, 253)(6, 244)(7, 245)(8, 259)(9, 261)(10, 263)(11, 243)(12, 256)(13, 258)(14, 271)(15, 248)(16, 275)(17, 277)(18, 247)(19, 274)(20, 283)(21, 251)(22, 287)(23, 289)(24, 291)(25, 250)(26, 286)(27, 297)(28, 252)(29, 254)(30, 303)(31, 302)(32, 307)(33, 309)(34, 255)(35, 268)(36, 315)(37, 317)(38, 319)(39, 257)(40, 270)(41, 260)(42, 327)(43, 326)(44, 331)(45, 262)(46, 335)(47, 334)(48, 339)(49, 265)(50, 343)(51, 345)(52, 347)(53, 264)(54, 342)(55, 351)(56, 266)(57, 354)(58, 356)(59, 267)(60, 314)(61, 362)(62, 269)(63, 324)(64, 359)(65, 272)(66, 360)(67, 368)(68, 357)(69, 370)(70, 372)(71, 273)(72, 282)(73, 276)(74, 380)(75, 379)(76, 384)(77, 279)(78, 388)(79, 390)(80, 392)(81, 278)(82, 387)(83, 396)(84, 280)(85, 399)(86, 281)(87, 377)(88, 294)(89, 284)(90, 295)(91, 405)(92, 292)(93, 386)(94, 285)(95, 296)(96, 375)(97, 288)(98, 376)(99, 413)(100, 373)(101, 290)(102, 403)(103, 378)(104, 419)(105, 293)(106, 423)(107, 406)(108, 393)(109, 422)(110, 394)(111, 402)(112, 395)(113, 410)(114, 299)(115, 401)(116, 428)(117, 430)(118, 298)(119, 427)(120, 431)(121, 300)(122, 371)(123, 412)(124, 301)(125, 306)(126, 304)(127, 433)(128, 305)(129, 308)(130, 311)(131, 364)(132, 436)(133, 438)(134, 310)(135, 434)(136, 442)(137, 312)(138, 341)(139, 313)(140, 361)(141, 322)(142, 316)(143, 323)(144, 449)(145, 320)(146, 318)(147, 447)(148, 333)(149, 452)(150, 321)(151, 344)(152, 450)(153, 439)(154, 455)(155, 440)(156, 446)(157, 441)(158, 353)(159, 355)(160, 367)(161, 325)(162, 330)(163, 328)(164, 460)(165, 329)(166, 332)(167, 448)(168, 338)(169, 336)(170, 444)(171, 458)(172, 459)(173, 337)(174, 349)(175, 340)(176, 350)(177, 348)(178, 437)(179, 454)(180, 461)(181, 346)(182, 443)(183, 463)(184, 466)(185, 363)(186, 352)(187, 366)(188, 358)(189, 435)(190, 369)(191, 365)(192, 462)(193, 457)(194, 409)(195, 467)(196, 374)(197, 389)(198, 415)(199, 417)(200, 426)(201, 411)(202, 408)(203, 414)(204, 398)(205, 404)(206, 383)(207, 381)(208, 432)(209, 382)(210, 385)(211, 429)(212, 418)(213, 424)(214, 391)(215, 416)(216, 472)(217, 400)(218, 397)(219, 425)(220, 470)(221, 473)(222, 407)(223, 421)(224, 469)(225, 420)(226, 471)(227, 451)(228, 456)(229, 477)(230, 445)(231, 453)(232, 476)(233, 465)(234, 464)(235, 479)(236, 468)(237, 474)(238, 475)(239, 480)(240, 478)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2334
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 240 f = 180
	degree seq :: [ 20^24 ]

E19.2339 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 10})
Quotient :: loop
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^10, (T1^-1 * T2 * T1^-4)^2, T1^4 * T2 * T1^-5 * T2 * T1, (T1^-1 * T2 * T1^2 * T2 * T1^-1)^2, (T2 * T1 * T2 * T1^-1)^3, (T1^-2 * T2 * T1^-2 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 241, 3, 243)(2, 242, 6, 246)(4, 244, 9, 249)(5, 245, 12, 252)(7, 247, 16, 256)(8, 248, 17, 257)(10, 250, 21, 261)(11, 251, 24, 264)(13, 253, 28, 268)(14, 254, 29, 269)(15, 255, 32, 272)(18, 258, 36, 276)(19, 259, 39, 279)(20, 260, 33, 273)(22, 262, 43, 283)(23, 263, 46, 286)(25, 265, 50, 290)(26, 266, 51, 291)(27, 267, 54, 294)(30, 270, 57, 297)(31, 271, 60, 300)(34, 274, 64, 304)(35, 275, 67, 307)(37, 277, 70, 310)(38, 278, 73, 313)(40, 280, 76, 316)(41, 281, 79, 319)(42, 282, 74, 314)(44, 284, 83, 323)(45, 285, 84, 324)(47, 287, 88, 328)(48, 288, 89, 329)(49, 289, 92, 332)(52, 292, 95, 335)(53, 293, 98, 338)(55, 295, 101, 341)(56, 296, 104, 344)(58, 298, 107, 347)(59, 299, 109, 349)(61, 301, 113, 353)(62, 302, 114, 354)(63, 303, 116, 356)(65, 305, 117, 357)(66, 306, 120, 360)(68, 308, 124, 364)(69, 309, 121, 361)(71, 311, 128, 368)(72, 312, 129, 369)(75, 315, 122, 362)(77, 317, 135, 375)(78, 318, 123, 363)(80, 320, 138, 378)(81, 321, 139, 379)(82, 322, 136, 376)(85, 325, 140, 380)(86, 326, 141, 381)(87, 327, 142, 382)(90, 330, 145, 385)(91, 331, 146, 386)(93, 333, 149, 389)(94, 334, 152, 392)(96, 336, 154, 394)(97, 337, 155, 395)(99, 339, 159, 399)(100, 340, 160, 400)(102, 342, 161, 401)(103, 343, 164, 404)(105, 345, 166, 406)(106, 346, 165, 405)(108, 348, 170, 410)(110, 350, 171, 411)(111, 351, 172, 412)(112, 352, 174, 414)(115, 355, 178, 418)(118, 358, 182, 422)(119, 359, 183, 423)(125, 365, 188, 428)(126, 366, 189, 429)(127, 367, 187, 427)(130, 370, 186, 426)(131, 371, 192, 432)(132, 372, 184, 424)(133, 373, 176, 416)(134, 374, 179, 419)(137, 377, 180, 420)(143, 383, 195, 435)(144, 384, 197, 437)(147, 387, 199, 439)(148, 388, 200, 440)(150, 390, 201, 441)(151, 391, 203, 443)(153, 393, 204, 444)(156, 396, 206, 446)(157, 397, 207, 447)(158, 398, 208, 448)(162, 402, 211, 451)(163, 403, 212, 452)(167, 407, 215, 455)(168, 408, 216, 456)(169, 409, 214, 454)(173, 413, 218, 458)(175, 415, 220, 460)(177, 417, 221, 461)(181, 421, 196, 436)(185, 425, 224, 464)(190, 430, 223, 463)(191, 431, 210, 450)(193, 433, 219, 459)(194, 434, 225, 465)(198, 438, 226, 466)(202, 442, 228, 468)(205, 445, 230, 470)(209, 449, 231, 471)(213, 453, 232, 472)(217, 457, 233, 473)(222, 462, 235, 475)(227, 467, 237, 477)(229, 469, 238, 478)(234, 474, 239, 479)(236, 476, 240, 480)
	L = (1, 242)(2, 245)(3, 247)(4, 241)(5, 251)(6, 253)(7, 255)(8, 243)(9, 259)(10, 244)(11, 263)(12, 265)(13, 267)(14, 246)(15, 271)(16, 273)(17, 275)(18, 248)(19, 278)(20, 249)(21, 281)(22, 250)(23, 285)(24, 287)(25, 289)(26, 252)(27, 293)(28, 257)(29, 296)(30, 254)(31, 299)(32, 301)(33, 303)(34, 256)(35, 306)(36, 308)(37, 258)(38, 312)(39, 314)(40, 260)(41, 318)(42, 261)(43, 321)(44, 262)(45, 284)(46, 325)(47, 327)(48, 264)(49, 331)(50, 269)(51, 334)(52, 266)(53, 337)(54, 339)(55, 268)(56, 343)(57, 345)(58, 270)(59, 324)(60, 350)(61, 352)(62, 272)(63, 355)(64, 344)(65, 274)(66, 359)(67, 361)(68, 363)(69, 276)(70, 366)(71, 277)(72, 326)(73, 370)(74, 371)(75, 279)(76, 373)(77, 280)(78, 330)(79, 376)(80, 282)(81, 336)(82, 283)(83, 348)(84, 311)(85, 317)(86, 286)(87, 320)(88, 291)(89, 384)(90, 288)(91, 322)(92, 387)(93, 290)(94, 391)(95, 302)(96, 292)(97, 323)(98, 396)(99, 398)(100, 294)(101, 392)(102, 295)(103, 403)(104, 405)(105, 313)(106, 297)(107, 408)(108, 298)(109, 402)(110, 382)(111, 300)(112, 386)(113, 304)(114, 416)(115, 417)(116, 419)(117, 421)(118, 305)(119, 410)(120, 424)(121, 425)(122, 307)(123, 413)(124, 427)(125, 309)(126, 393)(127, 310)(128, 381)(129, 388)(130, 397)(131, 431)(132, 315)(133, 394)(134, 316)(135, 407)(136, 433)(137, 319)(138, 409)(139, 395)(140, 329)(141, 358)(142, 365)(143, 328)(144, 372)(145, 340)(146, 367)(147, 374)(148, 332)(149, 437)(150, 333)(151, 377)(152, 444)(153, 335)(154, 445)(155, 442)(156, 375)(157, 338)(158, 378)(159, 341)(160, 364)(161, 450)(162, 342)(163, 379)(164, 357)(165, 453)(166, 454)(167, 346)(168, 438)(169, 347)(170, 349)(171, 354)(172, 457)(173, 351)(174, 449)(175, 353)(176, 446)(177, 368)(178, 443)(179, 462)(180, 356)(181, 360)(182, 463)(183, 459)(184, 441)(185, 455)(186, 362)(187, 440)(188, 435)(189, 461)(190, 369)(191, 434)(192, 448)(193, 436)(194, 380)(195, 422)(196, 383)(197, 466)(198, 385)(199, 389)(200, 406)(201, 418)(202, 390)(203, 401)(204, 469)(205, 430)(206, 400)(207, 415)(208, 467)(209, 399)(210, 404)(211, 412)(212, 432)(213, 429)(214, 411)(215, 465)(216, 423)(217, 426)(218, 420)(219, 414)(220, 473)(221, 468)(222, 428)(223, 474)(224, 475)(225, 451)(226, 476)(227, 439)(228, 447)(229, 456)(230, 452)(231, 460)(232, 464)(233, 479)(234, 458)(235, 477)(236, 470)(237, 471)(238, 472)(239, 480)(240, 478)
	local type(s) :: { ( 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.2335
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 120 e = 240 f = 84
	degree seq :: [ 4^120 ]

E19.2340 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 10})
Quotient :: dipole
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, R * Y2^-2 * R * Y1 * Y2^2 * Y1, Y1 * Y2^2 * Y1 * R * Y2^2 * R, (Y1 * Y2^-1 * Y1 * Y2)^3, Y2^-3 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^3 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * R * Y2^2 * R * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * R * Y2^2 * R * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y1, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 241, 2, 242)(3, 243, 7, 247)(4, 244, 9, 249)(5, 245, 10, 250)(6, 246, 12, 252)(8, 248, 15, 255)(11, 251, 20, 260)(13, 253, 23, 263)(14, 254, 25, 265)(16, 256, 28, 268)(17, 257, 30, 270)(18, 258, 31, 271)(19, 259, 33, 273)(21, 261, 36, 276)(22, 262, 38, 278)(24, 264, 41, 281)(26, 266, 44, 284)(27, 267, 46, 286)(29, 269, 49, 289)(32, 272, 54, 294)(34, 274, 57, 297)(35, 275, 59, 299)(37, 277, 62, 302)(39, 279, 65, 305)(40, 280, 67, 307)(42, 282, 55, 295)(43, 283, 71, 311)(45, 285, 74, 314)(47, 287, 77, 317)(48, 288, 61, 301)(50, 290, 81, 321)(51, 291, 83, 323)(52, 292, 84, 324)(53, 293, 86, 326)(56, 296, 90, 330)(58, 298, 93, 333)(60, 300, 96, 336)(63, 303, 100, 340)(64, 304, 102, 342)(66, 306, 105, 345)(68, 308, 108, 348)(69, 309, 110, 350)(70, 310, 111, 351)(72, 312, 114, 354)(73, 313, 116, 356)(75, 315, 106, 346)(76, 316, 120, 360)(78, 318, 123, 363)(79, 319, 124, 364)(80, 320, 126, 366)(82, 322, 128, 368)(85, 325, 133, 373)(87, 327, 136, 376)(88, 328, 138, 378)(89, 329, 139, 379)(91, 331, 142, 382)(92, 332, 144, 384)(94, 334, 134, 374)(95, 335, 148, 388)(97, 337, 151, 391)(98, 338, 152, 392)(99, 339, 154, 394)(101, 341, 156, 396)(103, 343, 159, 399)(104, 344, 161, 401)(107, 347, 135, 375)(109, 349, 146, 386)(112, 352, 150, 390)(113, 353, 172, 412)(115, 355, 147, 387)(117, 357, 153, 393)(118, 358, 137, 377)(119, 359, 143, 383)(121, 361, 179, 419)(122, 362, 140, 380)(125, 365, 145, 385)(127, 367, 155, 395)(129, 369, 181, 421)(130, 370, 183, 423)(131, 371, 184, 424)(132, 372, 186, 426)(141, 381, 197, 437)(149, 389, 204, 444)(157, 397, 206, 446)(158, 398, 208, 448)(160, 400, 203, 443)(162, 402, 187, 427)(163, 403, 196, 436)(164, 404, 213, 453)(165, 405, 190, 430)(166, 406, 205, 445)(167, 407, 211, 451)(168, 408, 199, 439)(169, 409, 214, 454)(170, 410, 202, 442)(171, 411, 188, 428)(173, 413, 207, 447)(174, 414, 193, 433)(175, 415, 212, 452)(176, 416, 201, 441)(177, 417, 195, 435)(178, 418, 185, 425)(180, 420, 191, 431)(182, 422, 198, 438)(189, 429, 223, 463)(192, 432, 221, 461)(194, 434, 224, 464)(200, 440, 222, 462)(209, 449, 219, 459)(210, 450, 226, 466)(215, 455, 231, 471)(216, 456, 220, 460)(217, 457, 227, 467)(218, 458, 228, 468)(225, 465, 234, 474)(229, 469, 235, 475)(230, 470, 236, 476)(232, 472, 237, 477)(233, 473, 238, 478)(239, 479, 240, 480)(481, 721, 483, 723, 488, 728, 484, 724)(482, 722, 485, 725, 491, 731, 486, 726)(487, 727, 493, 733, 504, 744, 494, 734)(489, 729, 496, 736, 509, 749, 497, 737)(490, 730, 498, 738, 512, 752, 499, 739)(492, 732, 501, 741, 517, 757, 502, 742)(495, 735, 506, 746, 525, 765, 507, 747)(500, 740, 514, 754, 538, 778, 515, 755)(503, 743, 519, 759, 546, 786, 520, 760)(505, 745, 522, 762, 550, 790, 523, 763)(508, 748, 527, 767, 558, 798, 528, 768)(510, 750, 530, 770, 562, 802, 531, 771)(511, 751, 532, 772, 565, 805, 533, 773)(513, 753, 535, 775, 569, 809, 536, 776)(516, 756, 540, 780, 577, 817, 541, 781)(518, 758, 543, 783, 581, 821, 544, 784)(521, 761, 548, 788, 589, 829, 549, 789)(524, 764, 552, 792, 595, 835, 553, 793)(526, 766, 555, 795, 599, 839, 556, 796)(529, 769, 559, 799, 605, 845, 560, 800)(534, 774, 567, 807, 617, 857, 568, 808)(537, 777, 571, 811, 623, 863, 572, 812)(539, 779, 574, 814, 627, 867, 575, 815)(542, 782, 578, 818, 633, 873, 579, 819)(545, 785, 583, 823, 640, 880, 584, 824)(547, 787, 586, 826, 644, 884, 587, 827)(551, 791, 592, 832, 651, 891, 593, 833)(554, 794, 597, 837, 656, 896, 598, 838)(557, 797, 601, 841, 660, 900, 602, 842)(561, 801, 607, 847, 655, 895, 596, 836)(563, 803, 609, 849, 662, 902, 610, 850)(564, 804, 611, 851, 665, 905, 612, 852)(566, 806, 614, 854, 669, 909, 615, 855)(570, 810, 620, 860, 676, 916, 621, 861)(573, 813, 625, 865, 681, 921, 626, 866)(576, 816, 629, 869, 685, 925, 630, 870)(580, 820, 635, 875, 680, 920, 624, 864)(582, 822, 637, 877, 687, 927, 638, 878)(585, 825, 642, 882, 606, 846, 643, 883)(588, 828, 645, 885, 608, 848, 646, 886)(590, 830, 647, 887, 603, 843, 648, 888)(591, 831, 649, 889, 604, 844, 650, 890)(594, 834, 653, 893, 697, 937, 654, 894)(600, 840, 657, 897, 698, 938, 658, 898)(613, 853, 667, 907, 634, 874, 668, 908)(616, 856, 670, 910, 636, 876, 671, 911)(618, 858, 672, 912, 631, 871, 673, 913)(619, 859, 674, 914, 632, 872, 675, 915)(622, 862, 678, 918, 707, 947, 679, 919)(628, 868, 682, 922, 708, 948, 683, 923)(639, 879, 689, 929, 663, 903, 690, 930)(641, 881, 691, 931, 709, 949, 692, 932)(652, 892, 695, 935, 659, 899, 696, 936)(661, 901, 693, 933, 710, 950, 694, 934)(664, 904, 699, 939, 688, 928, 700, 940)(666, 906, 701, 941, 712, 952, 702, 942)(677, 917, 705, 945, 684, 924, 706, 946)(686, 926, 703, 943, 713, 953, 704, 944)(711, 951, 715, 955, 719, 959, 716, 956)(714, 954, 717, 957, 720, 960, 718, 958)
	L = (1, 482)(2, 481)(3, 487)(4, 489)(5, 490)(6, 492)(7, 483)(8, 495)(9, 484)(10, 485)(11, 500)(12, 486)(13, 503)(14, 505)(15, 488)(16, 508)(17, 510)(18, 511)(19, 513)(20, 491)(21, 516)(22, 518)(23, 493)(24, 521)(25, 494)(26, 524)(27, 526)(28, 496)(29, 529)(30, 497)(31, 498)(32, 534)(33, 499)(34, 537)(35, 539)(36, 501)(37, 542)(38, 502)(39, 545)(40, 547)(41, 504)(42, 535)(43, 551)(44, 506)(45, 554)(46, 507)(47, 557)(48, 541)(49, 509)(50, 561)(51, 563)(52, 564)(53, 566)(54, 512)(55, 522)(56, 570)(57, 514)(58, 573)(59, 515)(60, 576)(61, 528)(62, 517)(63, 580)(64, 582)(65, 519)(66, 585)(67, 520)(68, 588)(69, 590)(70, 591)(71, 523)(72, 594)(73, 596)(74, 525)(75, 586)(76, 600)(77, 527)(78, 603)(79, 604)(80, 606)(81, 530)(82, 608)(83, 531)(84, 532)(85, 613)(86, 533)(87, 616)(88, 618)(89, 619)(90, 536)(91, 622)(92, 624)(93, 538)(94, 614)(95, 628)(96, 540)(97, 631)(98, 632)(99, 634)(100, 543)(101, 636)(102, 544)(103, 639)(104, 641)(105, 546)(106, 555)(107, 615)(108, 548)(109, 626)(110, 549)(111, 550)(112, 630)(113, 652)(114, 552)(115, 627)(116, 553)(117, 633)(118, 617)(119, 623)(120, 556)(121, 659)(122, 620)(123, 558)(124, 559)(125, 625)(126, 560)(127, 635)(128, 562)(129, 661)(130, 663)(131, 664)(132, 666)(133, 565)(134, 574)(135, 587)(136, 567)(137, 598)(138, 568)(139, 569)(140, 602)(141, 677)(142, 571)(143, 599)(144, 572)(145, 605)(146, 589)(147, 595)(148, 575)(149, 684)(150, 592)(151, 577)(152, 578)(153, 597)(154, 579)(155, 607)(156, 581)(157, 686)(158, 688)(159, 583)(160, 683)(161, 584)(162, 667)(163, 676)(164, 693)(165, 670)(166, 685)(167, 691)(168, 679)(169, 694)(170, 682)(171, 668)(172, 593)(173, 687)(174, 673)(175, 692)(176, 681)(177, 675)(178, 665)(179, 601)(180, 671)(181, 609)(182, 678)(183, 610)(184, 611)(185, 658)(186, 612)(187, 642)(188, 651)(189, 703)(190, 645)(191, 660)(192, 701)(193, 654)(194, 704)(195, 657)(196, 643)(197, 621)(198, 662)(199, 648)(200, 702)(201, 656)(202, 650)(203, 640)(204, 629)(205, 646)(206, 637)(207, 653)(208, 638)(209, 699)(210, 706)(211, 647)(212, 655)(213, 644)(214, 649)(215, 711)(216, 700)(217, 707)(218, 708)(219, 689)(220, 696)(221, 672)(222, 680)(223, 669)(224, 674)(225, 714)(226, 690)(227, 697)(228, 698)(229, 715)(230, 716)(231, 695)(232, 717)(233, 718)(234, 705)(235, 709)(236, 710)(237, 712)(238, 713)(239, 720)(240, 719)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.2343
Graph:: bipartite
	v = 180 e = 480 f = 264
	degree seq :: [ 4^120, 8^60 ]

E19.2341 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 10})
Quotient :: dipole
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y1^4, R * Y2 * R * Y3, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, Y2^10, (Y2^2 * Y1^-1 * Y2 * Y1^-1)^2, (Y2^4 * Y1^-1)^2, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^-3 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1, Y2^2 * Y1^-1 * Y2^-1 * Y1 * Y2^4 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 ]
Map::
	R = (1, 241, 2, 242, 6, 246, 4, 244)(3, 243, 9, 249, 21, 261, 11, 251)(5, 245, 13, 253, 18, 258, 7, 247)(8, 248, 19, 259, 34, 274, 15, 255)(10, 250, 23, 263, 49, 289, 25, 265)(12, 252, 16, 256, 35, 275, 28, 268)(14, 254, 31, 271, 62, 302, 29, 269)(17, 257, 37, 277, 77, 317, 39, 279)(20, 260, 43, 283, 86, 326, 41, 281)(22, 262, 47, 287, 94, 334, 45, 285)(24, 264, 51, 291, 105, 345, 53, 293)(26, 266, 46, 286, 95, 335, 56, 296)(27, 267, 57, 297, 114, 354, 59, 299)(30, 270, 63, 303, 84, 324, 40, 280)(32, 272, 67, 307, 128, 368, 65, 305)(33, 273, 69, 309, 130, 370, 71, 311)(36, 276, 75, 315, 139, 379, 73, 313)(38, 278, 79, 319, 150, 390, 81, 321)(42, 282, 87, 327, 137, 377, 72, 312)(44, 284, 91, 331, 165, 405, 89, 329)(48, 288, 99, 339, 173, 413, 97, 337)(50, 290, 103, 343, 138, 378, 101, 341)(52, 292, 107, 347, 166, 406, 92, 332)(54, 294, 102, 342, 163, 403, 88, 328)(55, 295, 111, 351, 162, 402, 90, 330)(58, 298, 116, 356, 188, 428, 118, 358)(60, 300, 74, 314, 140, 380, 121, 361)(61, 301, 122, 362, 131, 371, 124, 364)(64, 304, 119, 359, 187, 427, 126, 366)(66, 306, 120, 360, 191, 431, 125, 365)(68, 308, 117, 357, 190, 430, 129, 369)(70, 310, 132, 372, 196, 436, 134, 374)(76, 316, 144, 384, 209, 449, 142, 382)(78, 318, 148, 388, 93, 333, 146, 386)(80, 320, 152, 392, 210, 450, 145, 385)(82, 322, 147, 387, 207, 447, 141, 381)(83, 323, 156, 396, 206, 446, 143, 383)(85, 325, 159, 399, 115, 355, 161, 401)(96, 336, 135, 375, 194, 434, 169, 409)(98, 338, 136, 376, 202, 442, 168, 408)(100, 340, 133, 373, 198, 438, 175, 415)(104, 344, 179, 419, 214, 454, 151, 391)(106, 346, 183, 423, 223, 463, 181, 421)(108, 348, 153, 393, 199, 439, 177, 417)(109, 349, 182, 422, 203, 443, 174, 414)(110, 350, 154, 394, 215, 455, 176, 416)(112, 352, 155, 395, 200, 440, 186, 426)(113, 353, 170, 410, 204, 444, 158, 398)(123, 363, 172, 412, 219, 459, 185, 425)(127, 367, 193, 433, 217, 457, 160, 400)(149, 389, 212, 452, 178, 418, 197, 437)(157, 397, 201, 441, 171, 411, 218, 458)(164, 404, 220, 460, 230, 470, 205, 445)(167, 407, 208, 448, 192, 432, 222, 462)(180, 420, 221, 461, 233, 473, 225, 465)(184, 424, 226, 466, 231, 471, 213, 453)(189, 429, 195, 435, 227, 467, 211, 451)(216, 456, 232, 472, 236, 476, 228, 468)(224, 464, 229, 469, 237, 477, 234, 474)(235, 475, 239, 479, 240, 480, 238, 478)(481, 721, 483, 723, 490, 730, 504, 744, 532, 772, 588, 828, 548, 788, 512, 752, 494, 734, 485, 725)(482, 722, 487, 727, 497, 737, 518, 758, 560, 800, 633, 873, 572, 812, 524, 764, 500, 740, 488, 728)(484, 724, 492, 732, 507, 747, 538, 778, 597, 837, 657, 897, 580, 820, 528, 768, 502, 742, 489, 729)(486, 726, 495, 735, 513, 753, 550, 790, 613, 853, 679, 919, 625, 865, 556, 796, 516, 756, 496, 736)(491, 731, 506, 746, 535, 775, 592, 832, 547, 787, 609, 849, 660, 900, 584, 824, 530, 770, 503, 743)(493, 733, 509, 749, 541, 781, 603, 843, 664, 904, 587, 827, 533, 773, 589, 829, 544, 784, 510, 750)(498, 738, 520, 760, 563, 803, 637, 877, 571, 811, 646, 886, 693, 933, 629, 869, 558, 798, 517, 757)(499, 739, 521, 761, 565, 805, 640, 880, 696, 936, 632, 872, 561, 801, 634, 874, 568, 808, 522, 762)(501, 741, 525, 765, 573, 813, 647, 887, 701, 941, 670, 910, 598, 838, 651, 891, 576, 816, 526, 766)(505, 745, 534, 774, 590, 830, 546, 786, 511, 751, 545, 785, 607, 847, 641, 881, 586, 826, 531, 771)(508, 748, 540, 780, 600, 840, 656, 896, 579, 819, 655, 895, 704, 944, 663, 903, 595, 835, 537, 777)(514, 754, 552, 792, 616, 856, 683, 923, 624, 864, 690, 930, 708, 948, 675, 915, 611, 851, 549, 789)(515, 755, 553, 793, 618, 858, 685, 925, 709, 949, 678, 918, 614, 854, 680, 920, 621, 861, 554, 794)(519, 759, 562, 802, 635, 875, 570, 810, 523, 763, 569, 809, 644, 884, 583, 823, 631, 871, 559, 799)(527, 767, 577, 817, 652, 892, 604, 844, 669, 909, 596, 836, 539, 779, 599, 839, 654, 894, 578, 818)(529, 769, 581, 821, 619, 859, 686, 926, 673, 913, 608, 848, 666, 906, 676, 916, 658, 898, 582, 822)(536, 776, 593, 833, 543, 783, 606, 846, 659, 899, 705, 945, 715, 955, 706, 946, 665, 905, 591, 831)(542, 782, 605, 845, 672, 912, 689, 929, 662, 902, 585, 825, 661, 901, 674, 914, 610, 850, 602, 842)(551, 791, 615, 855, 681, 921, 623, 863, 555, 795, 622, 862, 688, 928, 628, 868, 677, 917, 612, 852)(557, 797, 626, 866, 574, 814, 648, 888, 700, 940, 645, 885, 698, 938, 668, 908, 691, 931, 627, 867)(564, 804, 638, 878, 567, 807, 643, 883, 692, 932, 711, 951, 718, 958, 712, 952, 697, 937, 636, 876)(566, 806, 642, 882, 699, 939, 653, 893, 695, 935, 630, 870, 694, 934, 667, 907, 594, 834, 639, 879)(575, 815, 649, 889, 703, 943, 714, 954, 719, 959, 713, 953, 702, 942, 671, 911, 601, 841, 650, 890)(617, 857, 684, 924, 620, 860, 687, 927, 707, 947, 716, 956, 720, 960, 717, 957, 710, 950, 682, 922)
	L = (1, 483)(2, 487)(3, 490)(4, 492)(5, 481)(6, 495)(7, 497)(8, 482)(9, 484)(10, 504)(11, 506)(12, 507)(13, 509)(14, 485)(15, 513)(16, 486)(17, 518)(18, 520)(19, 521)(20, 488)(21, 525)(22, 489)(23, 491)(24, 532)(25, 534)(26, 535)(27, 538)(28, 540)(29, 541)(30, 493)(31, 545)(32, 494)(33, 550)(34, 552)(35, 553)(36, 496)(37, 498)(38, 560)(39, 562)(40, 563)(41, 565)(42, 499)(43, 569)(44, 500)(45, 573)(46, 501)(47, 577)(48, 502)(49, 581)(50, 503)(51, 505)(52, 588)(53, 589)(54, 590)(55, 592)(56, 593)(57, 508)(58, 597)(59, 599)(60, 600)(61, 603)(62, 605)(63, 606)(64, 510)(65, 607)(66, 511)(67, 609)(68, 512)(69, 514)(70, 613)(71, 615)(72, 616)(73, 618)(74, 515)(75, 622)(76, 516)(77, 626)(78, 517)(79, 519)(80, 633)(81, 634)(82, 635)(83, 637)(84, 638)(85, 640)(86, 642)(87, 643)(88, 522)(89, 644)(90, 523)(91, 646)(92, 524)(93, 647)(94, 648)(95, 649)(96, 526)(97, 652)(98, 527)(99, 655)(100, 528)(101, 619)(102, 529)(103, 631)(104, 530)(105, 661)(106, 531)(107, 533)(108, 548)(109, 544)(110, 546)(111, 536)(112, 547)(113, 543)(114, 639)(115, 537)(116, 539)(117, 657)(118, 651)(119, 654)(120, 656)(121, 650)(122, 542)(123, 664)(124, 669)(125, 672)(126, 659)(127, 641)(128, 666)(129, 660)(130, 602)(131, 549)(132, 551)(133, 679)(134, 680)(135, 681)(136, 683)(137, 684)(138, 685)(139, 686)(140, 687)(141, 554)(142, 688)(143, 555)(144, 690)(145, 556)(146, 574)(147, 557)(148, 677)(149, 558)(150, 694)(151, 559)(152, 561)(153, 572)(154, 568)(155, 570)(156, 564)(157, 571)(158, 567)(159, 566)(160, 696)(161, 586)(162, 699)(163, 692)(164, 583)(165, 698)(166, 693)(167, 701)(168, 700)(169, 703)(170, 575)(171, 576)(172, 604)(173, 695)(174, 578)(175, 704)(176, 579)(177, 580)(178, 582)(179, 705)(180, 584)(181, 674)(182, 585)(183, 595)(184, 587)(185, 591)(186, 676)(187, 594)(188, 691)(189, 596)(190, 598)(191, 601)(192, 689)(193, 608)(194, 610)(195, 611)(196, 658)(197, 612)(198, 614)(199, 625)(200, 621)(201, 623)(202, 617)(203, 624)(204, 620)(205, 709)(206, 673)(207, 707)(208, 628)(209, 662)(210, 708)(211, 627)(212, 711)(213, 629)(214, 667)(215, 630)(216, 632)(217, 636)(218, 668)(219, 653)(220, 645)(221, 670)(222, 671)(223, 714)(224, 663)(225, 715)(226, 665)(227, 716)(228, 675)(229, 678)(230, 682)(231, 718)(232, 697)(233, 702)(234, 719)(235, 706)(236, 720)(237, 710)(238, 712)(239, 713)(240, 717)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 2, 4, 2, 4, 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 E19.2342
Graph:: bipartite
	v = 84 e = 480 f = 360
	degree seq :: [ 8^60, 20^24 ]

E19.2342 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 10})
Quotient :: dipole
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y3^-1 * Y2 * Y3^-4)^2, (Y3^-1 * Y2 * Y3 * Y2)^3, Y3^-2 * Y2 * Y3^5 * Y2 * Y3^-3, (Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1)^2, (Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^10 ]
Map:: polytopal
	R = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)(481, 721, 482, 722)(483, 723, 487, 727)(484, 724, 489, 729)(485, 725, 491, 731)(486, 726, 493, 733)(488, 728, 497, 737)(490, 730, 501, 741)(492, 732, 505, 745)(494, 734, 509, 749)(495, 735, 508, 748)(496, 736, 512, 752)(498, 738, 516, 756)(499, 739, 518, 758)(500, 740, 503, 743)(502, 742, 523, 763)(504, 744, 526, 766)(506, 746, 530, 770)(507, 747, 532, 772)(510, 750, 537, 777)(511, 751, 539, 779)(513, 753, 543, 783)(514, 754, 542, 782)(515, 755, 546, 786)(517, 757, 550, 790)(519, 759, 554, 794)(520, 760, 556, 796)(521, 761, 558, 798)(522, 762, 552, 792)(524, 764, 563, 803)(525, 765, 564, 804)(527, 767, 568, 808)(528, 768, 567, 807)(529, 769, 571, 811)(531, 771, 575, 815)(533, 773, 579, 819)(534, 774, 581, 821)(535, 775, 583, 823)(536, 776, 577, 817)(538, 778, 588, 828)(540, 780, 591, 831)(541, 781, 566, 806)(544, 784, 597, 837)(545, 785, 599, 839)(547, 787, 572, 812)(548, 788, 602, 842)(549, 789, 605, 845)(551, 791, 576, 816)(553, 793, 578, 818)(555, 795, 612, 852)(557, 797, 615, 855)(559, 799, 584, 824)(560, 800, 618, 858)(561, 801, 619, 859)(562, 802, 616, 856)(565, 805, 622, 862)(569, 809, 628, 868)(570, 810, 630, 870)(573, 813, 633, 873)(574, 814, 636, 876)(580, 820, 643, 883)(582, 822, 646, 886)(585, 825, 649, 889)(586, 826, 650, 890)(587, 827, 647, 887)(589, 829, 645, 885)(590, 830, 648, 888)(592, 832, 655, 895)(593, 833, 627, 867)(594, 834, 657, 897)(595, 835, 659, 899)(596, 836, 624, 864)(598, 838, 639, 879)(600, 840, 631, 871)(601, 841, 644, 884)(603, 843, 667, 907)(604, 844, 635, 875)(606, 846, 652, 892)(607, 847, 669, 909)(608, 848, 629, 869)(609, 849, 670, 910)(610, 850, 642, 882)(611, 851, 641, 881)(613, 853, 632, 872)(614, 854, 620, 860)(617, 857, 621, 861)(623, 863, 678, 918)(625, 865, 680, 920)(626, 866, 682, 922)(634, 874, 690, 930)(637, 877, 675, 915)(638, 878, 692, 932)(640, 880, 693, 933)(651, 891, 697, 937)(653, 893, 688, 928)(654, 894, 681, 921)(656, 896, 700, 940)(658, 898, 677, 917)(660, 900, 694, 934)(661, 901, 695, 935)(662, 902, 689, 929)(663, 903, 702, 942)(664, 904, 696, 936)(665, 905, 676, 916)(666, 906, 685, 925)(668, 908, 701, 941)(671, 911, 683, 923)(672, 912, 684, 924)(673, 913, 687, 927)(674, 914, 705, 945)(679, 919, 708, 948)(686, 926, 710, 950)(691, 931, 709, 949)(698, 938, 714, 954)(699, 939, 707, 947)(703, 943, 715, 955)(704, 944, 712, 952)(706, 946, 717, 957)(711, 951, 718, 958)(713, 953, 716, 956)(719, 959, 720, 960)
	L = (1, 483)(2, 485)(3, 488)(4, 481)(5, 492)(6, 482)(7, 495)(8, 498)(9, 499)(10, 484)(11, 503)(12, 506)(13, 507)(14, 486)(15, 511)(16, 487)(17, 514)(18, 517)(19, 519)(20, 489)(21, 521)(22, 490)(23, 525)(24, 491)(25, 528)(26, 531)(27, 533)(28, 493)(29, 535)(30, 494)(31, 540)(32, 541)(33, 496)(34, 545)(35, 497)(36, 548)(37, 551)(38, 552)(39, 555)(40, 500)(41, 559)(42, 501)(43, 561)(44, 502)(45, 565)(46, 566)(47, 504)(48, 570)(49, 505)(50, 573)(51, 576)(52, 577)(53, 580)(54, 508)(55, 584)(56, 509)(57, 586)(58, 510)(59, 589)(60, 592)(61, 593)(62, 512)(63, 595)(64, 513)(65, 600)(66, 601)(67, 515)(68, 604)(69, 516)(70, 607)(71, 524)(72, 609)(73, 518)(74, 611)(75, 608)(76, 613)(77, 520)(78, 616)(79, 606)(80, 522)(81, 603)(82, 523)(83, 598)(84, 620)(85, 623)(86, 624)(87, 526)(88, 626)(89, 527)(90, 631)(91, 632)(92, 529)(93, 635)(94, 530)(95, 638)(96, 538)(97, 640)(98, 532)(99, 642)(100, 639)(101, 644)(102, 534)(103, 647)(104, 637)(105, 536)(106, 634)(107, 537)(108, 629)(109, 651)(110, 539)(111, 653)(112, 563)(113, 656)(114, 542)(115, 554)(116, 543)(117, 661)(118, 544)(119, 663)(120, 562)(121, 665)(122, 546)(123, 547)(124, 560)(125, 668)(126, 549)(127, 557)(128, 550)(129, 671)(130, 553)(131, 654)(132, 664)(133, 667)(134, 556)(135, 660)(136, 673)(137, 558)(138, 662)(139, 655)(140, 674)(141, 564)(142, 676)(143, 588)(144, 679)(145, 567)(146, 579)(147, 568)(148, 684)(149, 569)(150, 686)(151, 587)(152, 688)(153, 571)(154, 572)(155, 585)(156, 691)(157, 574)(158, 582)(159, 575)(160, 694)(161, 578)(162, 677)(163, 687)(164, 690)(165, 581)(166, 683)(167, 696)(168, 583)(169, 685)(170, 678)(171, 618)(172, 590)(173, 615)(174, 591)(175, 699)(176, 619)(177, 701)(178, 594)(179, 689)(180, 596)(181, 698)(182, 597)(183, 614)(184, 599)(185, 617)(186, 602)(187, 703)(188, 610)(189, 605)(190, 697)(191, 704)(192, 612)(193, 682)(194, 649)(195, 621)(196, 646)(197, 622)(198, 707)(199, 650)(200, 709)(201, 625)(202, 666)(203, 627)(204, 706)(205, 628)(206, 645)(207, 630)(208, 648)(209, 633)(210, 711)(211, 641)(212, 636)(213, 705)(214, 712)(215, 643)(216, 659)(217, 713)(218, 652)(219, 658)(220, 670)(221, 714)(222, 657)(223, 672)(224, 669)(225, 716)(226, 675)(227, 681)(228, 693)(229, 717)(230, 680)(231, 695)(232, 692)(233, 702)(234, 719)(235, 700)(236, 710)(237, 720)(238, 708)(239, 715)(240, 718)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 8, 20 ), ( 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.2341
Graph:: simple bipartite
	v = 360 e = 480 f = 84
	degree seq :: [ 2^240, 4^120 ]

E19.2343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 10})
Quotient :: dipole
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y3 * Y1^-1)^4, Y1^10, Y1^10, (Y3 * Y1^-5)^2, (Y3 * Y1 * Y3 * Y1^-1)^3, (Y3 * Y1^2 * Y3 * Y1^-2)^2, (Y3 * Y1 * Y3 * Y1^-4)^2 ]
Map:: polytopal
	R = (1, 241, 2, 242, 5, 245, 11, 251, 23, 263, 45, 285, 44, 284, 22, 262, 10, 250, 4, 244)(3, 243, 7, 247, 15, 255, 31, 271, 59, 299, 84, 324, 71, 311, 37, 277, 18, 258, 8, 248)(6, 246, 13, 253, 27, 267, 53, 293, 97, 337, 83, 323, 108, 348, 58, 298, 30, 270, 14, 254)(9, 249, 19, 259, 38, 278, 72, 312, 86, 326, 46, 286, 85, 325, 77, 317, 40, 280, 20, 260)(12, 252, 25, 265, 49, 289, 91, 331, 82, 322, 43, 283, 81, 321, 96, 336, 52, 292, 26, 266)(16, 256, 33, 273, 63, 303, 115, 355, 177, 417, 128, 368, 141, 381, 118, 358, 65, 305, 34, 274)(17, 257, 35, 275, 66, 306, 119, 359, 170, 410, 109, 349, 162, 402, 102, 342, 55, 295, 28, 268)(21, 261, 41, 281, 78, 318, 90, 330, 48, 288, 24, 264, 47, 287, 87, 327, 80, 320, 42, 282)(29, 269, 56, 296, 103, 343, 163, 403, 139, 379, 155, 395, 202, 442, 150, 390, 93, 333, 50, 290)(32, 272, 61, 301, 112, 352, 146, 386, 127, 367, 70, 310, 126, 366, 153, 393, 95, 335, 62, 302)(36, 276, 68, 308, 123, 363, 173, 413, 111, 351, 60, 300, 110, 350, 142, 382, 125, 365, 69, 309)(39, 279, 74, 314, 131, 371, 191, 431, 194, 434, 140, 380, 89, 329, 144, 384, 132, 372, 75, 315)(51, 291, 94, 334, 151, 391, 137, 377, 79, 319, 136, 376, 193, 433, 196, 436, 143, 383, 88, 328)(54, 294, 99, 339, 158, 398, 138, 378, 169, 409, 107, 347, 168, 408, 198, 438, 145, 385, 100, 340)(57, 297, 105, 345, 73, 313, 130, 370, 157, 397, 98, 338, 156, 396, 135, 375, 167, 407, 106, 346)(64, 304, 104, 344, 165, 405, 213, 453, 189, 429, 221, 461, 228, 468, 207, 447, 175, 415, 113, 353)(67, 307, 121, 361, 185, 425, 215, 455, 225, 465, 211, 451, 172, 412, 217, 457, 186, 426, 122, 362)(76, 316, 133, 373, 154, 394, 205, 445, 190, 430, 129, 369, 148, 388, 92, 332, 147, 387, 134, 374)(101, 341, 152, 392, 204, 444, 229, 469, 216, 456, 183, 423, 219, 459, 174, 414, 209, 449, 159, 399)(114, 354, 176, 416, 206, 446, 160, 400, 124, 364, 187, 427, 200, 440, 166, 406, 214, 454, 171, 411)(116, 356, 179, 419, 222, 462, 188, 428, 195, 435, 182, 422, 223, 463, 234, 474, 218, 458, 180, 420)(117, 357, 181, 421, 120, 360, 184, 424, 201, 441, 178, 418, 203, 443, 161, 401, 210, 450, 164, 404)(149, 389, 197, 437, 226, 466, 236, 476, 230, 470, 212, 452, 192, 432, 208, 448, 227, 467, 199, 439)(220, 460, 233, 473, 239, 479, 240, 480, 238, 478, 232, 472, 224, 464, 235, 475, 237, 477, 231, 471)(481, 721)(482, 722)(483, 723)(484, 724)(485, 725)(486, 726)(487, 727)(488, 728)(489, 729)(490, 730)(491, 731)(492, 732)(493, 733)(494, 734)(495, 735)(496, 736)(497, 737)(498, 738)(499, 739)(500, 740)(501, 741)(502, 742)(503, 743)(504, 744)(505, 745)(506, 746)(507, 747)(508, 748)(509, 749)(510, 750)(511, 751)(512, 752)(513, 753)(514, 754)(515, 755)(516, 756)(517, 757)(518, 758)(519, 759)(520, 760)(521, 761)(522, 762)(523, 763)(524, 764)(525, 765)(526, 766)(527, 767)(528, 768)(529, 769)(530, 770)(531, 771)(532, 772)(533, 773)(534, 774)(535, 775)(536, 776)(537, 777)(538, 778)(539, 779)(540, 780)(541, 781)(542, 782)(543, 783)(544, 784)(545, 785)(546, 786)(547, 787)(548, 788)(549, 789)(550, 790)(551, 791)(552, 792)(553, 793)(554, 794)(555, 795)(556, 796)(557, 797)(558, 798)(559, 799)(560, 800)(561, 801)(562, 802)(563, 803)(564, 804)(565, 805)(566, 806)(567, 807)(568, 808)(569, 809)(570, 810)(571, 811)(572, 812)(573, 813)(574, 814)(575, 815)(576, 816)(577, 817)(578, 818)(579, 819)(580, 820)(581, 821)(582, 822)(583, 823)(584, 824)(585, 825)(586, 826)(587, 827)(588, 828)(589, 829)(590, 830)(591, 831)(592, 832)(593, 833)(594, 834)(595, 835)(596, 836)(597, 837)(598, 838)(599, 839)(600, 840)(601, 841)(602, 842)(603, 843)(604, 844)(605, 845)(606, 846)(607, 847)(608, 848)(609, 849)(610, 850)(611, 851)(612, 852)(613, 853)(614, 854)(615, 855)(616, 856)(617, 857)(618, 858)(619, 859)(620, 860)(621, 861)(622, 862)(623, 863)(624, 864)(625, 865)(626, 866)(627, 867)(628, 868)(629, 869)(630, 870)(631, 871)(632, 872)(633, 873)(634, 874)(635, 875)(636, 876)(637, 877)(638, 878)(639, 879)(640, 880)(641, 881)(642, 882)(643, 883)(644, 884)(645, 885)(646, 886)(647, 887)(648, 888)(649, 889)(650, 890)(651, 891)(652, 892)(653, 893)(654, 894)(655, 895)(656, 896)(657, 897)(658, 898)(659, 899)(660, 900)(661, 901)(662, 902)(663, 903)(664, 904)(665, 905)(666, 906)(667, 907)(668, 908)(669, 909)(670, 910)(671, 911)(672, 912)(673, 913)(674, 914)(675, 915)(676, 916)(677, 917)(678, 918)(679, 919)(680, 920)(681, 921)(682, 922)(683, 923)(684, 924)(685, 925)(686, 926)(687, 927)(688, 928)(689, 929)(690, 930)(691, 931)(692, 932)(693, 933)(694, 934)(695, 935)(696, 936)(697, 937)(698, 938)(699, 939)(700, 940)(701, 941)(702, 942)(703, 943)(704, 944)(705, 945)(706, 946)(707, 947)(708, 948)(709, 949)(710, 950)(711, 951)(712, 952)(713, 953)(714, 954)(715, 955)(716, 956)(717, 957)(718, 958)(719, 959)(720, 960)
	L = (1, 483)(2, 486)(3, 481)(4, 489)(5, 492)(6, 482)(7, 496)(8, 497)(9, 484)(10, 501)(11, 504)(12, 485)(13, 508)(14, 509)(15, 512)(16, 487)(17, 488)(18, 516)(19, 519)(20, 513)(21, 490)(22, 523)(23, 526)(24, 491)(25, 530)(26, 531)(27, 534)(28, 493)(29, 494)(30, 537)(31, 540)(32, 495)(33, 500)(34, 544)(35, 547)(36, 498)(37, 550)(38, 553)(39, 499)(40, 556)(41, 559)(42, 554)(43, 502)(44, 563)(45, 564)(46, 503)(47, 568)(48, 569)(49, 572)(50, 505)(51, 506)(52, 575)(53, 578)(54, 507)(55, 581)(56, 584)(57, 510)(58, 587)(59, 589)(60, 511)(61, 593)(62, 594)(63, 596)(64, 514)(65, 597)(66, 600)(67, 515)(68, 604)(69, 601)(70, 517)(71, 608)(72, 609)(73, 518)(74, 522)(75, 602)(76, 520)(77, 615)(78, 603)(79, 521)(80, 618)(81, 619)(82, 616)(83, 524)(84, 525)(85, 620)(86, 621)(87, 622)(88, 527)(89, 528)(90, 625)(91, 626)(92, 529)(93, 629)(94, 632)(95, 532)(96, 634)(97, 635)(98, 533)(99, 639)(100, 640)(101, 535)(102, 641)(103, 644)(104, 536)(105, 646)(106, 645)(107, 538)(108, 650)(109, 539)(110, 651)(111, 652)(112, 654)(113, 541)(114, 542)(115, 658)(116, 543)(117, 545)(118, 662)(119, 663)(120, 546)(121, 549)(122, 555)(123, 558)(124, 548)(125, 668)(126, 669)(127, 667)(128, 551)(129, 552)(130, 666)(131, 672)(132, 664)(133, 656)(134, 659)(135, 557)(136, 562)(137, 660)(138, 560)(139, 561)(140, 565)(141, 566)(142, 567)(143, 675)(144, 677)(145, 570)(146, 571)(147, 679)(148, 680)(149, 573)(150, 681)(151, 683)(152, 574)(153, 684)(154, 576)(155, 577)(156, 686)(157, 687)(158, 688)(159, 579)(160, 580)(161, 582)(162, 691)(163, 692)(164, 583)(165, 586)(166, 585)(167, 695)(168, 696)(169, 694)(170, 588)(171, 590)(172, 591)(173, 698)(174, 592)(175, 700)(176, 613)(177, 701)(178, 595)(179, 614)(180, 617)(181, 676)(182, 598)(183, 599)(184, 612)(185, 704)(186, 610)(187, 607)(188, 605)(189, 606)(190, 703)(191, 690)(192, 611)(193, 699)(194, 705)(195, 623)(196, 661)(197, 624)(198, 706)(199, 627)(200, 628)(201, 630)(202, 708)(203, 631)(204, 633)(205, 710)(206, 636)(207, 637)(208, 638)(209, 711)(210, 671)(211, 642)(212, 643)(213, 712)(214, 649)(215, 647)(216, 648)(217, 713)(218, 653)(219, 673)(220, 655)(221, 657)(222, 715)(223, 670)(224, 665)(225, 674)(226, 678)(227, 717)(228, 682)(229, 718)(230, 685)(231, 689)(232, 693)(233, 697)(234, 719)(235, 702)(236, 720)(237, 707)(238, 709)(239, 714)(240, 716)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2340
Graph:: simple bipartite
	v = 264 e = 480 f = 180
	degree seq :: [ 2^240, 20^24 ]

E19.2344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 10})
Quotient :: dipole
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, R * Y2^2 * R * Y1 * Y2^2 * Y1, (Y3 * Y2^-1)^4, (Y2 * Y1)^4, Y2^10, (Y2 * Y1 * Y2^-1 * Y1)^3, (Y2^-2 * Y1 * Y2^-3)^2, (Y2^-2 * R * Y2^-3)^2, (Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^3 * R * Y2^-2 * R * Y2^-2 * Y1 * Y2^-2, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-3)^2 ]
Map::
	R = (1, 241, 2, 242)(3, 243, 7, 247)(4, 244, 9, 249)(5, 245, 11, 251)(6, 246, 13, 253)(8, 248, 17, 257)(10, 250, 21, 261)(12, 252, 25, 265)(14, 254, 29, 269)(15, 255, 28, 268)(16, 256, 32, 272)(18, 258, 36, 276)(19, 259, 38, 278)(20, 260, 23, 263)(22, 262, 43, 283)(24, 264, 46, 286)(26, 266, 50, 290)(27, 267, 52, 292)(30, 270, 57, 297)(31, 271, 59, 299)(33, 273, 63, 303)(34, 274, 62, 302)(35, 275, 66, 306)(37, 277, 70, 310)(39, 279, 74, 314)(40, 280, 76, 316)(41, 281, 78, 318)(42, 282, 72, 312)(44, 284, 83, 323)(45, 285, 84, 324)(47, 287, 88, 328)(48, 288, 87, 327)(49, 289, 91, 331)(51, 291, 95, 335)(53, 293, 99, 339)(54, 294, 101, 341)(55, 295, 103, 343)(56, 296, 97, 337)(58, 298, 108, 348)(60, 300, 111, 351)(61, 301, 86, 326)(64, 304, 117, 357)(65, 305, 119, 359)(67, 307, 92, 332)(68, 308, 122, 362)(69, 309, 125, 365)(71, 311, 96, 336)(73, 313, 98, 338)(75, 315, 132, 372)(77, 317, 135, 375)(79, 319, 104, 344)(80, 320, 138, 378)(81, 321, 139, 379)(82, 322, 136, 376)(85, 325, 142, 382)(89, 329, 148, 388)(90, 330, 150, 390)(93, 333, 153, 393)(94, 334, 156, 396)(100, 340, 163, 403)(102, 342, 166, 406)(105, 345, 169, 409)(106, 346, 170, 410)(107, 347, 167, 407)(109, 349, 165, 405)(110, 350, 168, 408)(112, 352, 175, 415)(113, 353, 147, 387)(114, 354, 177, 417)(115, 355, 179, 419)(116, 356, 144, 384)(118, 358, 159, 399)(120, 360, 151, 391)(121, 361, 164, 404)(123, 363, 187, 427)(124, 364, 155, 395)(126, 366, 172, 412)(127, 367, 189, 429)(128, 368, 149, 389)(129, 369, 190, 430)(130, 370, 162, 402)(131, 371, 161, 401)(133, 373, 152, 392)(134, 374, 140, 380)(137, 377, 141, 381)(143, 383, 198, 438)(145, 385, 200, 440)(146, 386, 202, 442)(154, 394, 210, 450)(157, 397, 195, 435)(158, 398, 212, 452)(160, 400, 213, 453)(171, 411, 217, 457)(173, 413, 208, 448)(174, 414, 201, 441)(176, 416, 220, 460)(178, 418, 197, 437)(180, 420, 214, 454)(181, 421, 215, 455)(182, 422, 209, 449)(183, 423, 222, 462)(184, 424, 216, 456)(185, 425, 196, 436)(186, 426, 205, 445)(188, 428, 221, 461)(191, 431, 203, 443)(192, 432, 204, 444)(193, 433, 207, 447)(194, 434, 225, 465)(199, 439, 228, 468)(206, 446, 230, 470)(211, 451, 229, 469)(218, 458, 234, 474)(219, 459, 227, 467)(223, 463, 235, 475)(224, 464, 232, 472)(226, 466, 237, 477)(231, 471, 238, 478)(233, 473, 236, 476)(239, 479, 240, 480)(481, 721, 483, 723, 488, 728, 498, 738, 517, 757, 551, 791, 524, 764, 502, 742, 490, 730, 484, 724)(482, 722, 485, 725, 492, 732, 506, 746, 531, 771, 576, 816, 538, 778, 510, 750, 494, 734, 486, 726)(487, 727, 495, 735, 511, 751, 540, 780, 592, 832, 563, 803, 598, 838, 544, 784, 513, 753, 496, 736)(489, 729, 499, 739, 519, 759, 555, 795, 608, 848, 550, 790, 607, 847, 557, 797, 520, 760, 500, 740)(491, 731, 503, 743, 525, 765, 565, 805, 623, 863, 588, 828, 629, 869, 569, 809, 527, 767, 504, 744)(493, 733, 507, 747, 533, 773, 580, 820, 639, 879, 575, 815, 638, 878, 582, 822, 534, 774, 508, 748)(497, 737, 514, 754, 545, 785, 600, 840, 562, 802, 523, 763, 561, 801, 603, 843, 547, 787, 515, 755)(501, 741, 521, 761, 559, 799, 606, 846, 549, 789, 516, 756, 548, 788, 604, 844, 560, 800, 522, 762)(505, 745, 528, 768, 570, 810, 631, 871, 587, 827, 537, 777, 586, 826, 634, 874, 572, 812, 529, 769)(509, 749, 535, 775, 584, 824, 637, 877, 574, 814, 530, 770, 573, 813, 635, 875, 585, 825, 536, 776)(512, 752, 541, 781, 593, 833, 656, 896, 619, 859, 655, 895, 699, 939, 658, 898, 594, 834, 542, 782)(518, 758, 552, 792, 609, 849, 671, 911, 704, 944, 669, 909, 605, 845, 668, 908, 610, 850, 553, 793)(526, 766, 566, 806, 624, 864, 679, 919, 650, 890, 678, 918, 707, 947, 681, 921, 625, 865, 567, 807)(532, 772, 577, 817, 640, 880, 694, 934, 712, 952, 692, 932, 636, 876, 691, 931, 641, 881, 578, 818)(539, 779, 589, 829, 651, 891, 618, 858, 662, 902, 597, 837, 661, 901, 698, 938, 652, 892, 590, 830)(543, 783, 595, 835, 554, 794, 611, 851, 654, 894, 591, 831, 653, 893, 615, 855, 660, 900, 596, 836)(546, 786, 601, 841, 665, 905, 617, 857, 558, 798, 616, 856, 673, 913, 682, 922, 666, 906, 602, 842)(556, 796, 613, 853, 667, 907, 703, 943, 672, 912, 612, 852, 664, 904, 599, 839, 663, 903, 614, 854)(564, 804, 620, 860, 674, 914, 649, 889, 685, 925, 628, 868, 684, 924, 706, 946, 675, 915, 621, 861)(568, 808, 626, 866, 579, 819, 642, 882, 677, 917, 622, 862, 676, 916, 646, 886, 683, 923, 627, 867)(571, 811, 632, 872, 688, 928, 648, 888, 583, 823, 647, 887, 696, 936, 659, 899, 689, 929, 633, 873)(581, 821, 644, 884, 690, 930, 711, 951, 695, 935, 643, 883, 687, 927, 630, 870, 686, 926, 645, 885)(657, 897, 701, 941, 714, 954, 719, 959, 715, 955, 700, 940, 670, 910, 697, 937, 713, 953, 702, 942)(680, 920, 709, 949, 717, 957, 720, 960, 718, 958, 708, 948, 693, 933, 705, 945, 716, 956, 710, 950)
	L = (1, 482)(2, 481)(3, 487)(4, 489)(5, 491)(6, 493)(7, 483)(8, 497)(9, 484)(10, 501)(11, 485)(12, 505)(13, 486)(14, 509)(15, 508)(16, 512)(17, 488)(18, 516)(19, 518)(20, 503)(21, 490)(22, 523)(23, 500)(24, 526)(25, 492)(26, 530)(27, 532)(28, 495)(29, 494)(30, 537)(31, 539)(32, 496)(33, 543)(34, 542)(35, 546)(36, 498)(37, 550)(38, 499)(39, 554)(40, 556)(41, 558)(42, 552)(43, 502)(44, 563)(45, 564)(46, 504)(47, 568)(48, 567)(49, 571)(50, 506)(51, 575)(52, 507)(53, 579)(54, 581)(55, 583)(56, 577)(57, 510)(58, 588)(59, 511)(60, 591)(61, 566)(62, 514)(63, 513)(64, 597)(65, 599)(66, 515)(67, 572)(68, 602)(69, 605)(70, 517)(71, 576)(72, 522)(73, 578)(74, 519)(75, 612)(76, 520)(77, 615)(78, 521)(79, 584)(80, 618)(81, 619)(82, 616)(83, 524)(84, 525)(85, 622)(86, 541)(87, 528)(88, 527)(89, 628)(90, 630)(91, 529)(92, 547)(93, 633)(94, 636)(95, 531)(96, 551)(97, 536)(98, 553)(99, 533)(100, 643)(101, 534)(102, 646)(103, 535)(104, 559)(105, 649)(106, 650)(107, 647)(108, 538)(109, 645)(110, 648)(111, 540)(112, 655)(113, 627)(114, 657)(115, 659)(116, 624)(117, 544)(118, 639)(119, 545)(120, 631)(121, 644)(122, 548)(123, 667)(124, 635)(125, 549)(126, 652)(127, 669)(128, 629)(129, 670)(130, 642)(131, 641)(132, 555)(133, 632)(134, 620)(135, 557)(136, 562)(137, 621)(138, 560)(139, 561)(140, 614)(141, 617)(142, 565)(143, 678)(144, 596)(145, 680)(146, 682)(147, 593)(148, 569)(149, 608)(150, 570)(151, 600)(152, 613)(153, 573)(154, 690)(155, 604)(156, 574)(157, 675)(158, 692)(159, 598)(160, 693)(161, 611)(162, 610)(163, 580)(164, 601)(165, 589)(166, 582)(167, 587)(168, 590)(169, 585)(170, 586)(171, 697)(172, 606)(173, 688)(174, 681)(175, 592)(176, 700)(177, 594)(178, 677)(179, 595)(180, 694)(181, 695)(182, 689)(183, 702)(184, 696)(185, 676)(186, 685)(187, 603)(188, 701)(189, 607)(190, 609)(191, 683)(192, 684)(193, 687)(194, 705)(195, 637)(196, 665)(197, 658)(198, 623)(199, 708)(200, 625)(201, 654)(202, 626)(203, 671)(204, 672)(205, 666)(206, 710)(207, 673)(208, 653)(209, 662)(210, 634)(211, 709)(212, 638)(213, 640)(214, 660)(215, 661)(216, 664)(217, 651)(218, 714)(219, 707)(220, 656)(221, 668)(222, 663)(223, 715)(224, 712)(225, 674)(226, 717)(227, 699)(228, 679)(229, 691)(230, 686)(231, 718)(232, 704)(233, 716)(234, 698)(235, 703)(236, 713)(237, 706)(238, 711)(239, 720)(240, 719)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2345
Graph:: bipartite
	v = 144 e = 480 f = 300
	degree seq :: [ 4^120, 20^24 ]

E19.2345 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 10})
Quotient :: dipole
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1 * Y3 * Y1^-1 * Y3)^2, (Y3^3 * Y1^-1 * Y3)^2, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3^-3 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1^-2 * Y3^-2 * Y1^-1, Y3^2 * Y1^-1 * Y3^-1 * Y1 * Y3^4 * Y1^-1 * Y3^-2 * Y1^-1 * Y3, (Y3 * Y2^-1)^10 ]
Map:: polytopal
	R = (1, 241, 2, 242, 6, 246, 4, 244)(3, 243, 9, 249, 21, 261, 11, 251)(5, 245, 13, 253, 18, 258, 7, 247)(8, 248, 19, 259, 34, 274, 15, 255)(10, 250, 23, 263, 49, 289, 25, 265)(12, 252, 16, 256, 35, 275, 28, 268)(14, 254, 31, 271, 62, 302, 29, 269)(17, 257, 37, 277, 77, 317, 39, 279)(20, 260, 43, 283, 86, 326, 41, 281)(22, 262, 47, 287, 94, 334, 45, 285)(24, 264, 51, 291, 105, 345, 53, 293)(26, 266, 46, 286, 95, 335, 56, 296)(27, 267, 57, 297, 114, 354, 59, 299)(30, 270, 63, 303, 84, 324, 40, 280)(32, 272, 67, 307, 128, 368, 65, 305)(33, 273, 69, 309, 130, 370, 71, 311)(36, 276, 75, 315, 139, 379, 73, 313)(38, 278, 79, 319, 150, 390, 81, 321)(42, 282, 87, 327, 137, 377, 72, 312)(44, 284, 91, 331, 165, 405, 89, 329)(48, 288, 99, 339, 173, 413, 97, 337)(50, 290, 103, 343, 138, 378, 101, 341)(52, 292, 107, 347, 166, 406, 92, 332)(54, 294, 102, 342, 163, 403, 88, 328)(55, 295, 111, 351, 162, 402, 90, 330)(58, 298, 116, 356, 188, 428, 118, 358)(60, 300, 74, 314, 140, 380, 121, 361)(61, 301, 122, 362, 131, 371, 124, 364)(64, 304, 119, 359, 187, 427, 126, 366)(66, 306, 120, 360, 191, 431, 125, 365)(68, 308, 117, 357, 190, 430, 129, 369)(70, 310, 132, 372, 196, 436, 134, 374)(76, 316, 144, 384, 209, 449, 142, 382)(78, 318, 148, 388, 93, 333, 146, 386)(80, 320, 152, 392, 210, 450, 145, 385)(82, 322, 147, 387, 207, 447, 141, 381)(83, 323, 156, 396, 206, 446, 143, 383)(85, 325, 159, 399, 115, 355, 161, 401)(96, 336, 135, 375, 194, 434, 169, 409)(98, 338, 136, 376, 202, 442, 168, 408)(100, 340, 133, 373, 198, 438, 175, 415)(104, 344, 179, 419, 214, 454, 151, 391)(106, 346, 183, 423, 223, 463, 181, 421)(108, 348, 153, 393, 199, 439, 177, 417)(109, 349, 182, 422, 203, 443, 174, 414)(110, 350, 154, 394, 215, 455, 176, 416)(112, 352, 155, 395, 200, 440, 186, 426)(113, 353, 170, 410, 204, 444, 158, 398)(123, 363, 172, 412, 219, 459, 185, 425)(127, 367, 193, 433, 217, 457, 160, 400)(149, 389, 212, 452, 178, 418, 197, 437)(157, 397, 201, 441, 171, 411, 218, 458)(164, 404, 220, 460, 230, 470, 205, 445)(167, 407, 208, 448, 192, 432, 222, 462)(180, 420, 221, 461, 233, 473, 225, 465)(184, 424, 226, 466, 231, 471, 213, 453)(189, 429, 195, 435, 227, 467, 211, 451)(216, 456, 232, 472, 236, 476, 228, 468)(224, 464, 229, 469, 237, 477, 234, 474)(235, 475, 239, 479, 240, 480, 238, 478)(481, 721)(482, 722)(483, 723)(484, 724)(485, 725)(486, 726)(487, 727)(488, 728)(489, 729)(490, 730)(491, 731)(492, 732)(493, 733)(494, 734)(495, 735)(496, 736)(497, 737)(498, 738)(499, 739)(500, 740)(501, 741)(502, 742)(503, 743)(504, 744)(505, 745)(506, 746)(507, 747)(508, 748)(509, 749)(510, 750)(511, 751)(512, 752)(513, 753)(514, 754)(515, 755)(516, 756)(517, 757)(518, 758)(519, 759)(520, 760)(521, 761)(522, 762)(523, 763)(524, 764)(525, 765)(526, 766)(527, 767)(528, 768)(529, 769)(530, 770)(531, 771)(532, 772)(533, 773)(534, 774)(535, 775)(536, 776)(537, 777)(538, 778)(539, 779)(540, 780)(541, 781)(542, 782)(543, 783)(544, 784)(545, 785)(546, 786)(547, 787)(548, 788)(549, 789)(550, 790)(551, 791)(552, 792)(553, 793)(554, 794)(555, 795)(556, 796)(557, 797)(558, 798)(559, 799)(560, 800)(561, 801)(562, 802)(563, 803)(564, 804)(565, 805)(566, 806)(567, 807)(568, 808)(569, 809)(570, 810)(571, 811)(572, 812)(573, 813)(574, 814)(575, 815)(576, 816)(577, 817)(578, 818)(579, 819)(580, 820)(581, 821)(582, 822)(583, 823)(584, 824)(585, 825)(586, 826)(587, 827)(588, 828)(589, 829)(590, 830)(591, 831)(592, 832)(593, 833)(594, 834)(595, 835)(596, 836)(597, 837)(598, 838)(599, 839)(600, 840)(601, 841)(602, 842)(603, 843)(604, 844)(605, 845)(606, 846)(607, 847)(608, 848)(609, 849)(610, 850)(611, 851)(612, 852)(613, 853)(614, 854)(615, 855)(616, 856)(617, 857)(618, 858)(619, 859)(620, 860)(621, 861)(622, 862)(623, 863)(624, 864)(625, 865)(626, 866)(627, 867)(628, 868)(629, 869)(630, 870)(631, 871)(632, 872)(633, 873)(634, 874)(635, 875)(636, 876)(637, 877)(638, 878)(639, 879)(640, 880)(641, 881)(642, 882)(643, 883)(644, 884)(645, 885)(646, 886)(647, 887)(648, 888)(649, 889)(650, 890)(651, 891)(652, 892)(653, 893)(654, 894)(655, 895)(656, 896)(657, 897)(658, 898)(659, 899)(660, 900)(661, 901)(662, 902)(663, 903)(664, 904)(665, 905)(666, 906)(667, 907)(668, 908)(669, 909)(670, 910)(671, 911)(672, 912)(673, 913)(674, 914)(675, 915)(676, 916)(677, 917)(678, 918)(679, 919)(680, 920)(681, 921)(682, 922)(683, 923)(684, 924)(685, 925)(686, 926)(687, 927)(688, 928)(689, 929)(690, 930)(691, 931)(692, 932)(693, 933)(694, 934)(695, 935)(696, 936)(697, 937)(698, 938)(699, 939)(700, 940)(701, 941)(702, 942)(703, 943)(704, 944)(705, 945)(706, 946)(707, 947)(708, 948)(709, 949)(710, 950)(711, 951)(712, 952)(713, 953)(714, 954)(715, 955)(716, 956)(717, 957)(718, 958)(719, 959)(720, 960)
	L = (1, 483)(2, 487)(3, 490)(4, 492)(5, 481)(6, 495)(7, 497)(8, 482)(9, 484)(10, 504)(11, 506)(12, 507)(13, 509)(14, 485)(15, 513)(16, 486)(17, 518)(18, 520)(19, 521)(20, 488)(21, 525)(22, 489)(23, 491)(24, 532)(25, 534)(26, 535)(27, 538)(28, 540)(29, 541)(30, 493)(31, 545)(32, 494)(33, 550)(34, 552)(35, 553)(36, 496)(37, 498)(38, 560)(39, 562)(40, 563)(41, 565)(42, 499)(43, 569)(44, 500)(45, 573)(46, 501)(47, 577)(48, 502)(49, 581)(50, 503)(51, 505)(52, 588)(53, 589)(54, 590)(55, 592)(56, 593)(57, 508)(58, 597)(59, 599)(60, 600)(61, 603)(62, 605)(63, 606)(64, 510)(65, 607)(66, 511)(67, 609)(68, 512)(69, 514)(70, 613)(71, 615)(72, 616)(73, 618)(74, 515)(75, 622)(76, 516)(77, 626)(78, 517)(79, 519)(80, 633)(81, 634)(82, 635)(83, 637)(84, 638)(85, 640)(86, 642)(87, 643)(88, 522)(89, 644)(90, 523)(91, 646)(92, 524)(93, 647)(94, 648)(95, 649)(96, 526)(97, 652)(98, 527)(99, 655)(100, 528)(101, 619)(102, 529)(103, 631)(104, 530)(105, 661)(106, 531)(107, 533)(108, 548)(109, 544)(110, 546)(111, 536)(112, 547)(113, 543)(114, 639)(115, 537)(116, 539)(117, 657)(118, 651)(119, 654)(120, 656)(121, 650)(122, 542)(123, 664)(124, 669)(125, 672)(126, 659)(127, 641)(128, 666)(129, 660)(130, 602)(131, 549)(132, 551)(133, 679)(134, 680)(135, 681)(136, 683)(137, 684)(138, 685)(139, 686)(140, 687)(141, 554)(142, 688)(143, 555)(144, 690)(145, 556)(146, 574)(147, 557)(148, 677)(149, 558)(150, 694)(151, 559)(152, 561)(153, 572)(154, 568)(155, 570)(156, 564)(157, 571)(158, 567)(159, 566)(160, 696)(161, 586)(162, 699)(163, 692)(164, 583)(165, 698)(166, 693)(167, 701)(168, 700)(169, 703)(170, 575)(171, 576)(172, 604)(173, 695)(174, 578)(175, 704)(176, 579)(177, 580)(178, 582)(179, 705)(180, 584)(181, 674)(182, 585)(183, 595)(184, 587)(185, 591)(186, 676)(187, 594)(188, 691)(189, 596)(190, 598)(191, 601)(192, 689)(193, 608)(194, 610)(195, 611)(196, 658)(197, 612)(198, 614)(199, 625)(200, 621)(201, 623)(202, 617)(203, 624)(204, 620)(205, 709)(206, 673)(207, 707)(208, 628)(209, 662)(210, 708)(211, 627)(212, 711)(213, 629)(214, 667)(215, 630)(216, 632)(217, 636)(218, 668)(219, 653)(220, 645)(221, 670)(222, 671)(223, 714)(224, 663)(225, 715)(226, 665)(227, 716)(228, 675)(229, 678)(230, 682)(231, 718)(232, 697)(233, 702)(234, 719)(235, 706)(236, 720)(237, 710)(238, 712)(239, 713)(240, 717)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E19.2344
Graph:: simple bipartite
	v = 300 e = 480 f = 144
	degree seq :: [ 2^240, 8^60 ]

E19.2346 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = ((C12 x C3) : C4) : C2 (small group id <288, 430>)
Aut   = $<576, 5339>$ (small group id <576, 5339>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^-1 * T2)^4, (T1^-1 * T2 * T1^-3)^2, (T1^-2 * T2 * T1^-2)^2, T1^-3 * T2 * T1^4 * T2 * T1^-1, T1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 60, 93, 67, 74, 62, 34)(17, 35, 63, 88, 57, 83, 53, 28)(29, 54, 84, 72, 79, 111, 76, 48)(32, 58, 89, 66, 36, 65, 92, 59)(39, 69, 103, 107, 73, 49, 77, 70)(52, 80, 115, 87, 55, 86, 118, 81)(61, 95, 132, 100, 129, 168, 126, 90)(64, 98, 137, 161, 120, 91, 127, 99)(68, 101, 139, 106, 71, 105, 141, 102)(75, 108, 146, 114, 78, 113, 149, 109)(82, 119, 159, 124, 97, 136, 156, 116)(85, 122, 163, 194, 151, 117, 157, 123)(94, 130, 172, 135, 96, 134, 174, 131)(104, 143, 185, 144, 145, 187, 182, 140)(110, 150, 192, 154, 121, 162, 189, 147)(112, 152, 195, 184, 142, 148, 190, 153)(125, 165, 191, 171, 128, 170, 188, 166)(133, 176, 220, 250, 212, 173, 217, 177)(138, 180, 205, 160, 204, 244, 222, 178)(155, 197, 181, 202, 158, 201, 183, 198)(164, 208, 234, 193, 233, 262, 246, 206)(167, 211, 235, 215, 175, 219, 231, 209)(169, 213, 232, 223, 179, 210, 230, 214)(186, 196, 236, 261, 229, 226, 259, 228)(199, 239, 218, 242, 203, 243, 216, 237)(200, 240, 225, 247, 207, 238, 227, 241)(221, 255, 274, 249, 273, 281, 264, 253)(224, 251, 270, 282, 268, 257, 263, 258)(245, 269, 252, 265, 256, 275, 254, 267)(248, 266, 260, 278, 280, 271, 279, 272)(276, 283, 277, 284, 287, 285, 288, 286)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 61)(35, 64)(37, 67)(38, 68)(40, 71)(41, 72)(42, 69)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 82)(54, 85)(56, 88)(58, 90)(59, 91)(60, 94)(62, 96)(63, 97)(65, 100)(66, 98)(70, 104)(76, 110)(77, 112)(80, 116)(81, 117)(83, 120)(84, 121)(86, 124)(87, 122)(89, 125)(92, 128)(93, 129)(95, 133)(99, 138)(101, 140)(102, 134)(103, 142)(105, 144)(106, 130)(107, 145)(108, 147)(109, 148)(111, 151)(113, 154)(114, 152)(115, 155)(118, 158)(119, 160)(123, 164)(126, 167)(127, 169)(131, 173)(132, 175)(135, 176)(136, 178)(137, 179)(139, 181)(141, 183)(143, 186)(146, 188)(149, 191)(150, 193)(153, 196)(156, 199)(157, 200)(159, 203)(161, 204)(162, 206)(163, 207)(165, 209)(166, 210)(168, 212)(170, 215)(171, 213)(172, 216)(174, 218)(177, 221)(180, 224)(182, 225)(184, 226)(185, 227)(187, 229)(189, 230)(190, 231)(192, 232)(194, 233)(195, 235)(197, 237)(198, 238)(201, 242)(202, 240)(205, 245)(208, 248)(211, 249)(214, 251)(217, 252)(219, 253)(220, 254)(222, 256)(223, 257)(228, 260)(234, 263)(236, 264)(239, 265)(241, 266)(243, 267)(244, 268)(246, 270)(247, 271)(250, 273)(255, 276)(258, 277)(259, 274)(261, 279)(262, 280)(269, 283)(272, 284)(275, 285)(278, 286)(281, 287)(282, 288)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2347
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.2347 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = ((C12 x C3) : C4) : C2 (small group id <288, 430>)
Aut   = $<576, 5339>$ (small group id <576, 5339>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1 * T2 * T1^-2 * T2 * T1)^2, (T1^-1 * T2)^8, (T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1)^2, (T2 * T1^-2)^6, T1^-1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 93, 70)(43, 71, 115, 72)(45, 74, 119, 75)(46, 76, 89, 77)(47, 78, 124, 79)(52, 86, 131, 87)(60, 98, 85, 99)(61, 100, 146, 101)(63, 103, 150, 104)(64, 105, 81, 106)(66, 108, 157, 109)(67, 110, 143, 97)(68, 111, 160, 112)(73, 118, 141, 95)(82, 127, 174, 128)(84, 129, 176, 130)(90, 135, 181, 136)(92, 138, 185, 139)(96, 142, 180, 134)(102, 149, 178, 132)(107, 155, 177, 156)(113, 144, 123, 154)(114, 162, 208, 163)(116, 165, 210, 166)(117, 167, 120, 145)(121, 170, 194, 147)(122, 148, 195, 151)(125, 137, 184, 172)(126, 133, 179, 173)(140, 188, 171, 189)(152, 198, 225, 182)(153, 183, 226, 186)(158, 202, 222, 203)(159, 204, 221, 205)(161, 207, 243, 201)(164, 209, 228, 199)(168, 192, 236, 213)(169, 200, 224, 214)(175, 187, 229, 219)(190, 232, 206, 233)(191, 234, 216, 235)(193, 237, 220, 230)(196, 223, 258, 240)(197, 231, 218, 241)(211, 252, 262, 244)(212, 245, 260, 246)(215, 247, 259, 255)(217, 256, 261, 227)(238, 269, 251, 263)(239, 264, 249, 265)(242, 266, 257, 272)(248, 268, 253, 274)(250, 273, 283, 275)(254, 270, 280, 267)(271, 279, 286, 278)(276, 284, 277, 285)(281, 287, 282, 288)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 81)(49, 82)(50, 84)(51, 85)(53, 89)(54, 90)(55, 92)(56, 93)(57, 95)(58, 96)(59, 97)(62, 102)(65, 107)(69, 113)(70, 114)(71, 116)(72, 117)(74, 120)(75, 121)(76, 122)(77, 123)(78, 125)(79, 111)(80, 126)(83, 108)(86, 132)(87, 133)(88, 134)(91, 137)(94, 140)(98, 144)(99, 145)(100, 147)(101, 148)(103, 151)(104, 152)(105, 153)(106, 154)(109, 158)(110, 159)(112, 161)(115, 164)(118, 168)(119, 169)(124, 171)(127, 175)(128, 162)(129, 163)(130, 165)(131, 177)(135, 182)(136, 183)(138, 186)(139, 187)(141, 190)(142, 191)(143, 192)(146, 193)(149, 196)(150, 197)(155, 199)(156, 200)(157, 201)(160, 206)(166, 211)(167, 212)(170, 215)(172, 216)(173, 217)(174, 218)(176, 220)(178, 221)(179, 222)(180, 223)(181, 224)(184, 227)(185, 228)(188, 230)(189, 231)(194, 238)(195, 239)(198, 242)(202, 244)(203, 245)(204, 246)(205, 247)(207, 248)(208, 249)(209, 250)(210, 251)(213, 253)(214, 254)(219, 257)(225, 259)(226, 260)(229, 262)(232, 263)(233, 264)(234, 265)(235, 266)(236, 267)(237, 268)(240, 270)(241, 271)(243, 273)(252, 276)(255, 277)(256, 275)(258, 278)(261, 279)(269, 281)(272, 282)(274, 284)(280, 287)(283, 288)(285, 286)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2346
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.2348 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C12 x C3) : C4) : C2 (small group id <288, 430>)
Aut   = $<576, 5339>$ (small group id <576, 5339>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1 * T2^-2 * T1 * T2)^2, (T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2)^2, (T2^-1 * T1)^8, T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1, T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 71, 43)(28, 47, 79, 48)(30, 50, 84, 51)(31, 52, 87, 53)(33, 55, 92, 56)(36, 60, 100, 61)(38, 63, 105, 64)(41, 68, 111, 69)(44, 73, 118, 74)(46, 76, 123, 77)(49, 81, 128, 82)(54, 89, 135, 90)(57, 94, 142, 95)(59, 97, 147, 98)(62, 102, 152, 103)(65, 107, 85, 108)(67, 109, 155, 110)(70, 113, 159, 114)(72, 116, 78, 117)(75, 120, 166, 121)(80, 125, 173, 126)(83, 129, 176, 130)(86, 131, 106, 132)(88, 133, 177, 134)(91, 137, 181, 138)(93, 140, 99, 141)(96, 144, 188, 145)(101, 149, 195, 150)(104, 153, 198, 154)(112, 157, 203, 158)(115, 161, 208, 162)(119, 164, 211, 165)(122, 168, 213, 169)(124, 167, 212, 171)(127, 170, 215, 174)(136, 179, 225, 180)(139, 183, 230, 184)(143, 186, 233, 187)(146, 190, 235, 191)(148, 189, 234, 193)(151, 192, 237, 196)(156, 200, 175, 201)(160, 205, 251, 206)(163, 209, 253, 210)(172, 214, 254, 217)(178, 222, 197, 223)(182, 227, 266, 228)(185, 231, 268, 232)(194, 236, 269, 239)(199, 243, 220, 244)(202, 246, 219, 247)(204, 245, 218, 249)(207, 248, 274, 252)(216, 256, 277, 255)(221, 258, 242, 259)(224, 261, 241, 262)(226, 260, 240, 264)(229, 263, 279, 267)(238, 271, 282, 270)(250, 273, 257, 276)(265, 278, 272, 281)(275, 284, 288, 283)(280, 287, 285, 286)(289, 290)(291, 295)(292, 297)(293, 298)(294, 300)(296, 303)(299, 308)(301, 311)(302, 313)(304, 316)(305, 318)(306, 319)(307, 321)(309, 324)(310, 326)(312, 329)(314, 332)(315, 334)(317, 337)(320, 342)(322, 345)(323, 347)(325, 350)(327, 353)(328, 355)(330, 358)(331, 360)(333, 363)(335, 366)(336, 368)(338, 371)(339, 373)(340, 374)(341, 376)(343, 379)(344, 381)(346, 384)(348, 387)(349, 389)(351, 392)(352, 394)(354, 386)(356, 391)(357, 400)(359, 403)(361, 393)(362, 407)(364, 410)(365, 375)(367, 412)(369, 415)(370, 377)(372, 382)(378, 424)(380, 427)(383, 431)(385, 434)(388, 436)(390, 439)(395, 419)(396, 429)(397, 438)(398, 441)(399, 444)(401, 442)(402, 448)(404, 451)(405, 420)(406, 446)(408, 450)(409, 455)(411, 458)(413, 460)(414, 421)(416, 463)(417, 422)(418, 425)(423, 466)(426, 470)(428, 473)(430, 468)(432, 472)(433, 477)(435, 480)(437, 482)(440, 485)(443, 487)(445, 490)(447, 492)(449, 495)(452, 494)(453, 497)(454, 476)(456, 498)(457, 502)(459, 504)(461, 506)(462, 507)(464, 508)(465, 509)(467, 512)(469, 514)(471, 517)(474, 516)(475, 519)(478, 520)(479, 524)(481, 526)(483, 528)(484, 529)(486, 530)(488, 532)(489, 533)(491, 536)(493, 538)(496, 523)(499, 522)(500, 521)(501, 518)(503, 543)(505, 545)(510, 547)(511, 548)(513, 551)(515, 553)(525, 558)(527, 560)(531, 549)(534, 546)(535, 561)(537, 563)(539, 557)(540, 559)(541, 556)(542, 554)(544, 555)(550, 566)(552, 568)(562, 571)(564, 573)(565, 572)(567, 574)(569, 576)(570, 575)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2352
Transitivity :: ET+
Graph:: simple bipartite
	v = 216 e = 288 f = 36
	degree seq :: [ 2^144, 4^72 ]

E19.2349 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C12 x C3) : C4) : C2 (small group id <288, 430>)
Aut   = $<576, 5339>$ (small group id <576, 5339>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1 * T2^2)^2, T2^8, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 32, 14, 5)(2, 7, 17, 38, 75, 44, 20, 8)(4, 12, 27, 57, 89, 48, 22, 9)(6, 15, 33, 65, 109, 71, 36, 16)(11, 26, 54, 31, 63, 93, 50, 23)(13, 29, 60, 94, 51, 25, 53, 30)(18, 40, 77, 43, 82, 120, 73, 37)(19, 41, 79, 121, 74, 39, 76, 42)(21, 45, 83, 130, 101, 58, 86, 46)(28, 59, 88, 47, 87, 136, 100, 56)(34, 67, 111, 70, 116, 156, 107, 64)(35, 68, 113, 157, 108, 66, 110, 69)(49, 90, 138, 103, 61, 97, 141, 91)(55, 98, 143, 92, 142, 193, 147, 96)(62, 95, 145, 194, 144, 104, 152, 105)(72, 117, 165, 126, 80, 124, 168, 118)(78, 125, 170, 119, 169, 217, 174, 123)(81, 122, 172, 218, 171, 127, 176, 128)(84, 132, 181, 135, 99, 148, 178, 129)(85, 133, 183, 224, 179, 131, 180, 134)(102, 150, 197, 149, 185, 229, 186, 137)(106, 153, 199, 162, 114, 160, 202, 154)(112, 161, 204, 155, 203, 243, 208, 159)(115, 158, 206, 244, 205, 163, 210, 164)(139, 189, 233, 192, 146, 195, 231, 187)(140, 190, 234, 198, 151, 188, 232, 191)(166, 213, 250, 216, 173, 219, 248, 211)(167, 214, 251, 220, 175, 212, 249, 215)(177, 221, 253, 228, 184, 226, 255, 222)(182, 227, 256, 223, 196, 236, 258, 225)(200, 239, 266, 242, 207, 245, 264, 237)(201, 240, 267, 246, 209, 238, 265, 241)(230, 259, 277, 262, 235, 261, 278, 260)(247, 269, 283, 272, 252, 271, 284, 270)(254, 274, 286, 275, 257, 276, 285, 273)(263, 279, 287, 282, 268, 281, 288, 280)(289, 290, 294, 292)(291, 297, 309, 299)(293, 301, 306, 295)(296, 307, 322, 303)(298, 311, 337, 313)(300, 304, 323, 316)(302, 319, 349, 317)(305, 325, 360, 327)(308, 331, 368, 329)(310, 335, 372, 333)(312, 339, 370, 332)(314, 334, 373, 343)(315, 344, 387, 346)(318, 350, 366, 328)(320, 345, 389, 351)(321, 352, 394, 354)(324, 358, 402, 356)(326, 362, 404, 359)(330, 369, 400, 355)(336, 353, 396, 375)(338, 380, 427, 378)(340, 363, 397, 377)(341, 379, 428, 383)(342, 384, 434, 385)(347, 357, 403, 390)(348, 391, 439, 392)(361, 407, 454, 405)(364, 406, 455, 410)(365, 411, 461, 412)(367, 414, 463, 415)(371, 417, 465, 419)(374, 423, 472, 421)(376, 425, 470, 420)(381, 418, 467, 430)(382, 432, 457, 408)(386, 422, 449, 416)(388, 437, 484, 436)(393, 438, 452, 413)(395, 443, 488, 441)(398, 442, 489, 446)(399, 447, 495, 448)(401, 450, 497, 451)(409, 459, 491, 444)(424, 445, 493, 473)(426, 475, 518, 476)(429, 480, 523, 478)(431, 464, 508, 477)(433, 479, 515, 474)(435, 460, 503, 483)(440, 486, 524, 485)(453, 499, 535, 500)(456, 504, 540, 502)(458, 498, 534, 501)(462, 494, 529, 507)(466, 511, 542, 509)(468, 510, 527, 492)(469, 513, 545, 514)(471, 516, 533, 496)(481, 512, 531, 506)(482, 517, 532, 505)(487, 525, 551, 526)(490, 530, 556, 528)(519, 537, 558, 547)(520, 548, 562, 544)(521, 539, 560, 549)(522, 550, 564, 546)(536, 553, 568, 557)(538, 555, 570, 559)(541, 561, 567, 552)(543, 563, 569, 554)(565, 572, 575, 573)(566, 571, 576, 574)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2353
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2350 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C12 x C3) : C4) : C2 (small group id <288, 430>)
Aut   = $<576, 5339>$ (small group id <576, 5339>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-1)^4, (T1^-1 * T2 * T1^-3)^2, (T1^-2 * T2 * T1^-2)^2, T1^3 * T2 * T1^-4 * T2 * T1, T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 61)(35, 64)(37, 67)(38, 68)(40, 71)(41, 72)(42, 69)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 82)(54, 85)(56, 88)(58, 90)(59, 91)(60, 94)(62, 96)(63, 97)(65, 100)(66, 98)(70, 104)(76, 110)(77, 112)(80, 116)(81, 117)(83, 120)(84, 121)(86, 124)(87, 122)(89, 125)(92, 128)(93, 129)(95, 133)(99, 138)(101, 140)(102, 134)(103, 142)(105, 144)(106, 130)(107, 145)(108, 147)(109, 148)(111, 151)(113, 154)(114, 152)(115, 155)(118, 158)(119, 160)(123, 164)(126, 167)(127, 169)(131, 173)(132, 175)(135, 176)(136, 178)(137, 179)(139, 181)(141, 183)(143, 186)(146, 188)(149, 191)(150, 193)(153, 196)(156, 199)(157, 200)(159, 203)(161, 204)(162, 206)(163, 207)(165, 209)(166, 210)(168, 212)(170, 215)(171, 213)(172, 216)(174, 218)(177, 221)(180, 224)(182, 225)(184, 226)(185, 227)(187, 229)(189, 230)(190, 231)(192, 232)(194, 233)(195, 235)(197, 237)(198, 238)(201, 242)(202, 240)(205, 245)(208, 248)(211, 249)(214, 251)(217, 252)(219, 253)(220, 254)(222, 256)(223, 257)(228, 260)(234, 263)(236, 264)(239, 265)(241, 266)(243, 267)(244, 268)(246, 270)(247, 271)(250, 273)(255, 276)(258, 277)(259, 274)(261, 279)(262, 280)(269, 283)(272, 284)(275, 285)(278, 286)(281, 287)(282, 288)(289, 290, 293, 299, 311, 310, 298, 292)(291, 295, 303, 319, 332, 325, 306, 296)(294, 301, 315, 339, 331, 344, 318, 302)(297, 307, 326, 334, 312, 333, 328, 308)(300, 313, 335, 330, 309, 329, 338, 314)(304, 321, 348, 381, 355, 362, 350, 322)(305, 323, 351, 376, 345, 371, 341, 316)(317, 342, 372, 360, 367, 399, 364, 336)(320, 346, 377, 354, 324, 353, 380, 347)(327, 357, 391, 395, 361, 337, 365, 358)(340, 368, 403, 375, 343, 374, 406, 369)(349, 383, 420, 388, 417, 456, 414, 378)(352, 386, 425, 449, 408, 379, 415, 387)(356, 389, 427, 394, 359, 393, 429, 390)(363, 396, 434, 402, 366, 401, 437, 397)(370, 407, 447, 412, 385, 424, 444, 404)(373, 410, 451, 482, 439, 405, 445, 411)(382, 418, 460, 423, 384, 422, 462, 419)(392, 431, 473, 432, 433, 475, 470, 428)(398, 438, 480, 442, 409, 450, 477, 435)(400, 440, 483, 472, 430, 436, 478, 441)(413, 453, 479, 459, 416, 458, 476, 454)(421, 464, 508, 538, 500, 461, 505, 465)(426, 468, 493, 448, 492, 532, 510, 466)(443, 485, 469, 490, 446, 489, 471, 486)(452, 496, 522, 481, 521, 550, 534, 494)(455, 499, 523, 503, 463, 507, 519, 497)(457, 501, 520, 511, 467, 498, 518, 502)(474, 484, 524, 549, 517, 514, 547, 516)(487, 527, 506, 530, 491, 531, 504, 525)(488, 528, 513, 535, 495, 526, 515, 529)(509, 543, 562, 537, 561, 569, 552, 541)(512, 539, 558, 570, 556, 545, 551, 546)(533, 557, 540, 553, 544, 563, 542, 555)(536, 554, 548, 566, 568, 559, 567, 560)(564, 571, 565, 572, 575, 573, 576, 574)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2351
Transitivity :: ET+
Graph:: simple bipartite
	v = 180 e = 288 f = 72
	degree seq :: [ 2^144, 8^36 ]

E19.2351 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C12 x C3) : C4) : C2 (small group id <288, 430>)
Aut   = $<576, 5339>$ (small group id <576, 5339>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1 * T2^-2 * T1 * T2)^2, (T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2)^2, (T2^-1 * T1)^8, T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1, T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 ]
Map::
	R = (1, 289, 3, 291, 8, 296, 4, 292)(2, 290, 5, 293, 11, 299, 6, 294)(7, 295, 13, 301, 24, 312, 14, 302)(9, 297, 16, 304, 29, 317, 17, 305)(10, 298, 18, 306, 32, 320, 19, 307)(12, 300, 21, 309, 37, 325, 22, 310)(15, 303, 26, 314, 45, 333, 27, 315)(20, 308, 34, 322, 58, 346, 35, 323)(23, 311, 39, 327, 66, 354, 40, 328)(25, 313, 42, 330, 71, 359, 43, 331)(28, 316, 47, 335, 79, 367, 48, 336)(30, 318, 50, 338, 84, 372, 51, 339)(31, 319, 52, 340, 87, 375, 53, 341)(33, 321, 55, 343, 92, 380, 56, 344)(36, 324, 60, 348, 100, 388, 61, 349)(38, 326, 63, 351, 105, 393, 64, 352)(41, 329, 68, 356, 111, 399, 69, 357)(44, 332, 73, 361, 118, 406, 74, 362)(46, 334, 76, 364, 123, 411, 77, 365)(49, 337, 81, 369, 128, 416, 82, 370)(54, 342, 89, 377, 135, 423, 90, 378)(57, 345, 94, 382, 142, 430, 95, 383)(59, 347, 97, 385, 147, 435, 98, 386)(62, 350, 102, 390, 152, 440, 103, 391)(65, 353, 107, 395, 85, 373, 108, 396)(67, 355, 109, 397, 155, 443, 110, 398)(70, 358, 113, 401, 159, 447, 114, 402)(72, 360, 116, 404, 78, 366, 117, 405)(75, 363, 120, 408, 166, 454, 121, 409)(80, 368, 125, 413, 173, 461, 126, 414)(83, 371, 129, 417, 176, 464, 130, 418)(86, 374, 131, 419, 106, 394, 132, 420)(88, 376, 133, 421, 177, 465, 134, 422)(91, 379, 137, 425, 181, 469, 138, 426)(93, 381, 140, 428, 99, 387, 141, 429)(96, 384, 144, 432, 188, 476, 145, 433)(101, 389, 149, 437, 195, 483, 150, 438)(104, 392, 153, 441, 198, 486, 154, 442)(112, 400, 157, 445, 203, 491, 158, 446)(115, 403, 161, 449, 208, 496, 162, 450)(119, 407, 164, 452, 211, 499, 165, 453)(122, 410, 168, 456, 213, 501, 169, 457)(124, 412, 167, 455, 212, 500, 171, 459)(127, 415, 170, 458, 215, 503, 174, 462)(136, 424, 179, 467, 225, 513, 180, 468)(139, 427, 183, 471, 230, 518, 184, 472)(143, 431, 186, 474, 233, 521, 187, 475)(146, 434, 190, 478, 235, 523, 191, 479)(148, 436, 189, 477, 234, 522, 193, 481)(151, 439, 192, 480, 237, 525, 196, 484)(156, 444, 200, 488, 175, 463, 201, 489)(160, 448, 205, 493, 251, 539, 206, 494)(163, 451, 209, 497, 253, 541, 210, 498)(172, 460, 214, 502, 254, 542, 217, 505)(178, 466, 222, 510, 197, 485, 223, 511)(182, 470, 227, 515, 266, 554, 228, 516)(185, 473, 231, 519, 268, 556, 232, 520)(194, 482, 236, 524, 269, 557, 239, 527)(199, 487, 243, 531, 220, 508, 244, 532)(202, 490, 246, 534, 219, 507, 247, 535)(204, 492, 245, 533, 218, 506, 249, 537)(207, 495, 248, 536, 274, 562, 252, 540)(216, 504, 256, 544, 277, 565, 255, 543)(221, 509, 258, 546, 242, 530, 259, 547)(224, 512, 261, 549, 241, 529, 262, 550)(226, 514, 260, 548, 240, 528, 264, 552)(229, 517, 263, 551, 279, 567, 267, 555)(238, 526, 271, 559, 282, 570, 270, 558)(250, 538, 273, 561, 257, 545, 276, 564)(265, 553, 278, 566, 272, 560, 281, 569)(275, 563, 284, 572, 288, 576, 283, 571)(280, 568, 287, 575, 285, 573, 286, 574)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 298)(6, 300)(7, 291)(8, 303)(9, 292)(10, 293)(11, 308)(12, 294)(13, 311)(14, 313)(15, 296)(16, 316)(17, 318)(18, 319)(19, 321)(20, 299)(21, 324)(22, 326)(23, 301)(24, 329)(25, 302)(26, 332)(27, 334)(28, 304)(29, 337)(30, 305)(31, 306)(32, 342)(33, 307)(34, 345)(35, 347)(36, 309)(37, 350)(38, 310)(39, 353)(40, 355)(41, 312)(42, 358)(43, 360)(44, 314)(45, 363)(46, 315)(47, 366)(48, 368)(49, 317)(50, 371)(51, 373)(52, 374)(53, 376)(54, 320)(55, 379)(56, 381)(57, 322)(58, 384)(59, 323)(60, 387)(61, 389)(62, 325)(63, 392)(64, 394)(65, 327)(66, 386)(67, 328)(68, 391)(69, 400)(70, 330)(71, 403)(72, 331)(73, 393)(74, 407)(75, 333)(76, 410)(77, 375)(78, 335)(79, 412)(80, 336)(81, 415)(82, 377)(83, 338)(84, 382)(85, 339)(86, 340)(87, 365)(88, 341)(89, 370)(90, 424)(91, 343)(92, 427)(93, 344)(94, 372)(95, 431)(96, 346)(97, 434)(98, 354)(99, 348)(100, 436)(101, 349)(102, 439)(103, 356)(104, 351)(105, 361)(106, 352)(107, 419)(108, 429)(109, 438)(110, 441)(111, 444)(112, 357)(113, 442)(114, 448)(115, 359)(116, 451)(117, 420)(118, 446)(119, 362)(120, 450)(121, 455)(122, 364)(123, 458)(124, 367)(125, 460)(126, 421)(127, 369)(128, 463)(129, 422)(130, 425)(131, 395)(132, 405)(133, 414)(134, 417)(135, 466)(136, 378)(137, 418)(138, 470)(139, 380)(140, 473)(141, 396)(142, 468)(143, 383)(144, 472)(145, 477)(146, 385)(147, 480)(148, 388)(149, 482)(150, 397)(151, 390)(152, 485)(153, 398)(154, 401)(155, 487)(156, 399)(157, 490)(158, 406)(159, 492)(160, 402)(161, 495)(162, 408)(163, 404)(164, 494)(165, 497)(166, 476)(167, 409)(168, 498)(169, 502)(170, 411)(171, 504)(172, 413)(173, 506)(174, 507)(175, 416)(176, 508)(177, 509)(178, 423)(179, 512)(180, 430)(181, 514)(182, 426)(183, 517)(184, 432)(185, 428)(186, 516)(187, 519)(188, 454)(189, 433)(190, 520)(191, 524)(192, 435)(193, 526)(194, 437)(195, 528)(196, 529)(197, 440)(198, 530)(199, 443)(200, 532)(201, 533)(202, 445)(203, 536)(204, 447)(205, 538)(206, 452)(207, 449)(208, 523)(209, 453)(210, 456)(211, 522)(212, 521)(213, 518)(214, 457)(215, 543)(216, 459)(217, 545)(218, 461)(219, 462)(220, 464)(221, 465)(222, 547)(223, 548)(224, 467)(225, 551)(226, 469)(227, 553)(228, 474)(229, 471)(230, 501)(231, 475)(232, 478)(233, 500)(234, 499)(235, 496)(236, 479)(237, 558)(238, 481)(239, 560)(240, 483)(241, 484)(242, 486)(243, 549)(244, 488)(245, 489)(246, 546)(247, 561)(248, 491)(249, 563)(250, 493)(251, 557)(252, 559)(253, 556)(254, 554)(255, 503)(256, 555)(257, 505)(258, 534)(259, 510)(260, 511)(261, 531)(262, 566)(263, 513)(264, 568)(265, 515)(266, 542)(267, 544)(268, 541)(269, 539)(270, 525)(271, 540)(272, 527)(273, 535)(274, 571)(275, 537)(276, 573)(277, 572)(278, 550)(279, 574)(280, 552)(281, 576)(282, 575)(283, 562)(284, 565)(285, 564)(286, 567)(287, 570)(288, 569)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2350
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 72 e = 288 f = 180
	degree seq :: [ 8^72 ]

E19.2352 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C12 x C3) : C4) : C2 (small group id <288, 430>)
Aut   = $<576, 5339>$ (small group id <576, 5339>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1 * T2^2)^2, T2^8, (T2 * T1^-1)^6 ]
Map::
	R = (1, 289, 3, 291, 10, 298, 24, 312, 52, 340, 32, 320, 14, 302, 5, 293)(2, 290, 7, 295, 17, 305, 38, 326, 75, 363, 44, 332, 20, 308, 8, 296)(4, 292, 12, 300, 27, 315, 57, 345, 89, 377, 48, 336, 22, 310, 9, 297)(6, 294, 15, 303, 33, 321, 65, 353, 109, 397, 71, 359, 36, 324, 16, 304)(11, 299, 26, 314, 54, 342, 31, 319, 63, 351, 93, 381, 50, 338, 23, 311)(13, 301, 29, 317, 60, 348, 94, 382, 51, 339, 25, 313, 53, 341, 30, 318)(18, 306, 40, 328, 77, 365, 43, 331, 82, 370, 120, 408, 73, 361, 37, 325)(19, 307, 41, 329, 79, 367, 121, 409, 74, 362, 39, 327, 76, 364, 42, 330)(21, 309, 45, 333, 83, 371, 130, 418, 101, 389, 58, 346, 86, 374, 46, 334)(28, 316, 59, 347, 88, 376, 47, 335, 87, 375, 136, 424, 100, 388, 56, 344)(34, 322, 67, 355, 111, 399, 70, 358, 116, 404, 156, 444, 107, 395, 64, 352)(35, 323, 68, 356, 113, 401, 157, 445, 108, 396, 66, 354, 110, 398, 69, 357)(49, 337, 90, 378, 138, 426, 103, 391, 61, 349, 97, 385, 141, 429, 91, 379)(55, 343, 98, 386, 143, 431, 92, 380, 142, 430, 193, 481, 147, 435, 96, 384)(62, 350, 95, 383, 145, 433, 194, 482, 144, 432, 104, 392, 152, 440, 105, 393)(72, 360, 117, 405, 165, 453, 126, 414, 80, 368, 124, 412, 168, 456, 118, 406)(78, 366, 125, 413, 170, 458, 119, 407, 169, 457, 217, 505, 174, 462, 123, 411)(81, 369, 122, 410, 172, 460, 218, 506, 171, 459, 127, 415, 176, 464, 128, 416)(84, 372, 132, 420, 181, 469, 135, 423, 99, 387, 148, 436, 178, 466, 129, 417)(85, 373, 133, 421, 183, 471, 224, 512, 179, 467, 131, 419, 180, 468, 134, 422)(102, 390, 150, 438, 197, 485, 149, 437, 185, 473, 229, 517, 186, 474, 137, 425)(106, 394, 153, 441, 199, 487, 162, 450, 114, 402, 160, 448, 202, 490, 154, 442)(112, 400, 161, 449, 204, 492, 155, 443, 203, 491, 243, 531, 208, 496, 159, 447)(115, 403, 158, 446, 206, 494, 244, 532, 205, 493, 163, 451, 210, 498, 164, 452)(139, 427, 189, 477, 233, 521, 192, 480, 146, 434, 195, 483, 231, 519, 187, 475)(140, 428, 190, 478, 234, 522, 198, 486, 151, 439, 188, 476, 232, 520, 191, 479)(166, 454, 213, 501, 250, 538, 216, 504, 173, 461, 219, 507, 248, 536, 211, 499)(167, 455, 214, 502, 251, 539, 220, 508, 175, 463, 212, 500, 249, 537, 215, 503)(177, 465, 221, 509, 253, 541, 228, 516, 184, 472, 226, 514, 255, 543, 222, 510)(182, 470, 227, 515, 256, 544, 223, 511, 196, 484, 236, 524, 258, 546, 225, 513)(200, 488, 239, 527, 266, 554, 242, 530, 207, 495, 245, 533, 264, 552, 237, 525)(201, 489, 240, 528, 267, 555, 246, 534, 209, 497, 238, 526, 265, 553, 241, 529)(230, 518, 259, 547, 277, 565, 262, 550, 235, 523, 261, 549, 278, 566, 260, 548)(247, 535, 269, 557, 283, 571, 272, 560, 252, 540, 271, 559, 284, 572, 270, 558)(254, 542, 274, 562, 286, 574, 275, 563, 257, 545, 276, 564, 285, 573, 273, 561)(263, 551, 279, 567, 287, 575, 282, 570, 268, 556, 281, 569, 288, 576, 280, 568)
	L = (1, 290)(2, 294)(3, 297)(4, 289)(5, 301)(6, 292)(7, 293)(8, 307)(9, 309)(10, 311)(11, 291)(12, 304)(13, 306)(14, 319)(15, 296)(16, 323)(17, 325)(18, 295)(19, 322)(20, 331)(21, 299)(22, 335)(23, 337)(24, 339)(25, 298)(26, 334)(27, 344)(28, 300)(29, 302)(30, 350)(31, 349)(32, 345)(33, 352)(34, 303)(35, 316)(36, 358)(37, 360)(38, 362)(39, 305)(40, 318)(41, 308)(42, 369)(43, 368)(44, 312)(45, 310)(46, 373)(47, 372)(48, 353)(49, 313)(50, 380)(51, 370)(52, 363)(53, 379)(54, 384)(55, 314)(56, 387)(57, 389)(58, 315)(59, 357)(60, 391)(61, 317)(62, 366)(63, 320)(64, 394)(65, 396)(66, 321)(67, 330)(68, 324)(69, 403)(70, 402)(71, 326)(72, 327)(73, 407)(74, 404)(75, 397)(76, 406)(77, 411)(78, 328)(79, 414)(80, 329)(81, 400)(82, 332)(83, 417)(84, 333)(85, 343)(86, 423)(87, 336)(88, 425)(89, 340)(90, 338)(91, 428)(92, 427)(93, 418)(94, 432)(95, 341)(96, 434)(97, 342)(98, 422)(99, 346)(100, 437)(101, 351)(102, 347)(103, 439)(104, 348)(105, 438)(106, 354)(107, 443)(108, 375)(109, 377)(110, 442)(111, 447)(112, 355)(113, 450)(114, 356)(115, 390)(116, 359)(117, 361)(118, 455)(119, 454)(120, 382)(121, 459)(122, 364)(123, 461)(124, 365)(125, 393)(126, 463)(127, 367)(128, 386)(129, 465)(130, 467)(131, 371)(132, 376)(133, 374)(134, 449)(135, 472)(136, 445)(137, 470)(138, 475)(139, 378)(140, 383)(141, 480)(142, 381)(143, 464)(144, 457)(145, 479)(146, 385)(147, 460)(148, 388)(149, 484)(150, 452)(151, 392)(152, 486)(153, 395)(154, 489)(155, 488)(156, 409)(157, 493)(158, 398)(159, 495)(160, 399)(161, 416)(162, 497)(163, 401)(164, 413)(165, 499)(166, 405)(167, 410)(168, 504)(169, 408)(170, 498)(171, 491)(172, 503)(173, 412)(174, 494)(175, 415)(176, 508)(177, 419)(178, 511)(179, 430)(180, 510)(181, 513)(182, 420)(183, 516)(184, 421)(185, 424)(186, 433)(187, 518)(188, 426)(189, 431)(190, 429)(191, 515)(192, 523)(193, 512)(194, 517)(195, 435)(196, 436)(197, 440)(198, 524)(199, 525)(200, 441)(201, 446)(202, 530)(203, 444)(204, 468)(205, 473)(206, 529)(207, 448)(208, 471)(209, 451)(210, 534)(211, 535)(212, 453)(213, 458)(214, 456)(215, 483)(216, 540)(217, 482)(218, 481)(219, 462)(220, 477)(221, 466)(222, 527)(223, 542)(224, 531)(225, 545)(226, 469)(227, 474)(228, 533)(229, 532)(230, 476)(231, 537)(232, 548)(233, 539)(234, 550)(235, 478)(236, 485)(237, 551)(238, 487)(239, 492)(240, 490)(241, 507)(242, 556)(243, 506)(244, 505)(245, 496)(246, 501)(247, 500)(248, 553)(249, 558)(250, 555)(251, 560)(252, 502)(253, 561)(254, 509)(255, 563)(256, 520)(257, 514)(258, 522)(259, 519)(260, 562)(261, 521)(262, 564)(263, 526)(264, 541)(265, 568)(266, 543)(267, 570)(268, 528)(269, 536)(270, 547)(271, 538)(272, 549)(273, 567)(274, 544)(275, 569)(276, 546)(277, 572)(278, 571)(279, 552)(280, 557)(281, 554)(282, 559)(283, 576)(284, 575)(285, 565)(286, 566)(287, 573)(288, 574)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2348
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 36 e = 288 f = 216
	degree seq :: [ 16^36 ]

E19.2353 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C12 x C3) : C4) : C2 (small group id <288, 430>)
Aut   = $<576, 5339>$ (small group id <576, 5339>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-1)^4, (T1^-1 * T2 * T1^-3)^2, (T1^-2 * T2 * T1^-2)^2, T1^3 * T2 * T1^-4 * T2 * T1, T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2 ]
Map:: polytopal non-degenerate
	R = (1, 289, 3, 291)(2, 290, 6, 294)(4, 292, 9, 297)(5, 293, 12, 300)(7, 295, 16, 304)(8, 296, 17, 305)(10, 298, 21, 309)(11, 299, 24, 312)(13, 301, 28, 316)(14, 302, 29, 317)(15, 303, 32, 320)(18, 306, 36, 324)(19, 307, 39, 327)(20, 308, 33, 321)(22, 310, 43, 331)(23, 311, 44, 332)(25, 313, 48, 336)(26, 314, 49, 337)(27, 315, 52, 340)(30, 318, 55, 343)(31, 319, 57, 345)(34, 322, 61, 349)(35, 323, 64, 352)(37, 325, 67, 355)(38, 326, 68, 356)(40, 328, 71, 359)(41, 329, 72, 360)(42, 330, 69, 357)(45, 333, 73, 361)(46, 334, 74, 362)(47, 335, 75, 363)(50, 338, 78, 366)(51, 339, 79, 367)(53, 341, 82, 370)(54, 342, 85, 373)(56, 344, 88, 376)(58, 346, 90, 378)(59, 347, 91, 379)(60, 348, 94, 382)(62, 350, 96, 384)(63, 351, 97, 385)(65, 353, 100, 388)(66, 354, 98, 386)(70, 358, 104, 392)(76, 364, 110, 398)(77, 365, 112, 400)(80, 368, 116, 404)(81, 369, 117, 405)(83, 371, 120, 408)(84, 372, 121, 409)(86, 374, 124, 412)(87, 375, 122, 410)(89, 377, 125, 413)(92, 380, 128, 416)(93, 381, 129, 417)(95, 383, 133, 421)(99, 387, 138, 426)(101, 389, 140, 428)(102, 390, 134, 422)(103, 391, 142, 430)(105, 393, 144, 432)(106, 394, 130, 418)(107, 395, 145, 433)(108, 396, 147, 435)(109, 397, 148, 436)(111, 399, 151, 439)(113, 401, 154, 442)(114, 402, 152, 440)(115, 403, 155, 443)(118, 406, 158, 446)(119, 407, 160, 448)(123, 411, 164, 452)(126, 414, 167, 455)(127, 415, 169, 457)(131, 419, 173, 461)(132, 420, 175, 463)(135, 423, 176, 464)(136, 424, 178, 466)(137, 425, 179, 467)(139, 427, 181, 469)(141, 429, 183, 471)(143, 431, 186, 474)(146, 434, 188, 476)(149, 437, 191, 479)(150, 438, 193, 481)(153, 441, 196, 484)(156, 444, 199, 487)(157, 445, 200, 488)(159, 447, 203, 491)(161, 449, 204, 492)(162, 450, 206, 494)(163, 451, 207, 495)(165, 453, 209, 497)(166, 454, 210, 498)(168, 456, 212, 500)(170, 458, 215, 503)(171, 459, 213, 501)(172, 460, 216, 504)(174, 462, 218, 506)(177, 465, 221, 509)(180, 468, 224, 512)(182, 470, 225, 513)(184, 472, 226, 514)(185, 473, 227, 515)(187, 475, 229, 517)(189, 477, 230, 518)(190, 478, 231, 519)(192, 480, 232, 520)(194, 482, 233, 521)(195, 483, 235, 523)(197, 485, 237, 525)(198, 486, 238, 526)(201, 489, 242, 530)(202, 490, 240, 528)(205, 493, 245, 533)(208, 496, 248, 536)(211, 499, 249, 537)(214, 502, 251, 539)(217, 505, 252, 540)(219, 507, 253, 541)(220, 508, 254, 542)(222, 510, 256, 544)(223, 511, 257, 545)(228, 516, 260, 548)(234, 522, 263, 551)(236, 524, 264, 552)(239, 527, 265, 553)(241, 529, 266, 554)(243, 531, 267, 555)(244, 532, 268, 556)(246, 534, 270, 558)(247, 535, 271, 559)(250, 538, 273, 561)(255, 543, 276, 564)(258, 546, 277, 565)(259, 547, 274, 562)(261, 549, 279, 567)(262, 550, 280, 568)(269, 557, 283, 571)(272, 560, 284, 572)(275, 563, 285, 573)(278, 566, 286, 574)(281, 569, 287, 575)(282, 570, 288, 576)
	L = (1, 290)(2, 293)(3, 295)(4, 289)(5, 299)(6, 301)(7, 303)(8, 291)(9, 307)(10, 292)(11, 311)(12, 313)(13, 315)(14, 294)(15, 319)(16, 321)(17, 323)(18, 296)(19, 326)(20, 297)(21, 329)(22, 298)(23, 310)(24, 333)(25, 335)(26, 300)(27, 339)(28, 305)(29, 342)(30, 302)(31, 332)(32, 346)(33, 348)(34, 304)(35, 351)(36, 353)(37, 306)(38, 334)(39, 357)(40, 308)(41, 338)(42, 309)(43, 344)(44, 325)(45, 328)(46, 312)(47, 330)(48, 317)(49, 365)(50, 314)(51, 331)(52, 368)(53, 316)(54, 372)(55, 374)(56, 318)(57, 371)(58, 377)(59, 320)(60, 381)(61, 383)(62, 322)(63, 376)(64, 386)(65, 380)(66, 324)(67, 362)(68, 389)(69, 391)(70, 327)(71, 393)(72, 367)(73, 337)(74, 350)(75, 396)(76, 336)(77, 358)(78, 401)(79, 399)(80, 403)(81, 340)(82, 407)(83, 341)(84, 360)(85, 410)(86, 406)(87, 343)(88, 345)(89, 354)(90, 349)(91, 415)(92, 347)(93, 355)(94, 418)(95, 420)(96, 422)(97, 424)(98, 425)(99, 352)(100, 417)(101, 427)(102, 356)(103, 395)(104, 431)(105, 429)(106, 359)(107, 361)(108, 434)(109, 363)(110, 438)(111, 364)(112, 440)(113, 437)(114, 366)(115, 375)(116, 370)(117, 445)(118, 369)(119, 447)(120, 379)(121, 450)(122, 451)(123, 373)(124, 385)(125, 453)(126, 378)(127, 387)(128, 458)(129, 456)(130, 460)(131, 382)(132, 388)(133, 464)(134, 462)(135, 384)(136, 444)(137, 449)(138, 468)(139, 394)(140, 392)(141, 390)(142, 436)(143, 473)(144, 433)(145, 475)(146, 402)(147, 398)(148, 478)(149, 397)(150, 480)(151, 405)(152, 483)(153, 400)(154, 409)(155, 485)(156, 404)(157, 411)(158, 489)(159, 412)(160, 492)(161, 408)(162, 477)(163, 482)(164, 496)(165, 479)(166, 413)(167, 499)(168, 414)(169, 501)(170, 476)(171, 416)(172, 423)(173, 505)(174, 419)(175, 507)(176, 508)(177, 421)(178, 426)(179, 498)(180, 493)(181, 490)(182, 428)(183, 486)(184, 430)(185, 432)(186, 484)(187, 470)(188, 454)(189, 435)(190, 441)(191, 459)(192, 442)(193, 521)(194, 439)(195, 472)(196, 524)(197, 469)(198, 443)(199, 527)(200, 528)(201, 471)(202, 446)(203, 531)(204, 532)(205, 448)(206, 452)(207, 526)(208, 522)(209, 455)(210, 518)(211, 523)(212, 461)(213, 520)(214, 457)(215, 463)(216, 525)(217, 465)(218, 530)(219, 519)(220, 538)(221, 543)(222, 466)(223, 467)(224, 539)(225, 535)(226, 547)(227, 529)(228, 474)(229, 514)(230, 502)(231, 497)(232, 511)(233, 550)(234, 481)(235, 503)(236, 549)(237, 487)(238, 515)(239, 506)(240, 513)(241, 488)(242, 491)(243, 504)(244, 510)(245, 557)(246, 494)(247, 495)(248, 554)(249, 561)(250, 500)(251, 558)(252, 553)(253, 509)(254, 555)(255, 562)(256, 563)(257, 551)(258, 512)(259, 516)(260, 566)(261, 517)(262, 534)(263, 546)(264, 541)(265, 544)(266, 548)(267, 533)(268, 545)(269, 540)(270, 570)(271, 567)(272, 536)(273, 569)(274, 537)(275, 542)(276, 571)(277, 572)(278, 568)(279, 560)(280, 559)(281, 552)(282, 556)(283, 565)(284, 575)(285, 576)(286, 564)(287, 573)(288, 574)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2349
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2354 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C12 x C3) : C4) : C2 (small group id <288, 430>)
Aut   = $<576, 5339>$ (small group id <576, 5339>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2)^2, (Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2)^2, (Y3 * Y2^-1)^8, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2 ]
Map::
	R = (1, 289, 2, 290)(3, 291, 7, 295)(4, 292, 9, 297)(5, 293, 10, 298)(6, 294, 12, 300)(8, 296, 15, 303)(11, 299, 20, 308)(13, 301, 23, 311)(14, 302, 25, 313)(16, 304, 28, 316)(17, 305, 30, 318)(18, 306, 31, 319)(19, 307, 33, 321)(21, 309, 36, 324)(22, 310, 38, 326)(24, 312, 41, 329)(26, 314, 44, 332)(27, 315, 46, 334)(29, 317, 49, 337)(32, 320, 54, 342)(34, 322, 57, 345)(35, 323, 59, 347)(37, 325, 62, 350)(39, 327, 65, 353)(40, 328, 67, 355)(42, 330, 70, 358)(43, 331, 72, 360)(45, 333, 75, 363)(47, 335, 78, 366)(48, 336, 80, 368)(50, 338, 83, 371)(51, 339, 85, 373)(52, 340, 86, 374)(53, 341, 88, 376)(55, 343, 91, 379)(56, 344, 93, 381)(58, 346, 96, 384)(60, 348, 99, 387)(61, 349, 101, 389)(63, 351, 104, 392)(64, 352, 106, 394)(66, 354, 98, 386)(68, 356, 103, 391)(69, 357, 112, 400)(71, 359, 115, 403)(73, 361, 105, 393)(74, 362, 119, 407)(76, 364, 122, 410)(77, 365, 87, 375)(79, 367, 124, 412)(81, 369, 127, 415)(82, 370, 89, 377)(84, 372, 94, 382)(90, 378, 136, 424)(92, 380, 139, 427)(95, 383, 143, 431)(97, 385, 146, 434)(100, 388, 148, 436)(102, 390, 151, 439)(107, 395, 131, 419)(108, 396, 141, 429)(109, 397, 150, 438)(110, 398, 153, 441)(111, 399, 156, 444)(113, 401, 154, 442)(114, 402, 160, 448)(116, 404, 163, 451)(117, 405, 132, 420)(118, 406, 158, 446)(120, 408, 162, 450)(121, 409, 167, 455)(123, 411, 170, 458)(125, 413, 172, 460)(126, 414, 133, 421)(128, 416, 175, 463)(129, 417, 134, 422)(130, 418, 137, 425)(135, 423, 178, 466)(138, 426, 182, 470)(140, 428, 185, 473)(142, 430, 180, 468)(144, 432, 184, 472)(145, 433, 189, 477)(147, 435, 192, 480)(149, 437, 194, 482)(152, 440, 197, 485)(155, 443, 199, 487)(157, 445, 202, 490)(159, 447, 204, 492)(161, 449, 207, 495)(164, 452, 206, 494)(165, 453, 209, 497)(166, 454, 188, 476)(168, 456, 210, 498)(169, 457, 214, 502)(171, 459, 216, 504)(173, 461, 218, 506)(174, 462, 219, 507)(176, 464, 220, 508)(177, 465, 221, 509)(179, 467, 224, 512)(181, 469, 226, 514)(183, 471, 229, 517)(186, 474, 228, 516)(187, 475, 231, 519)(190, 478, 232, 520)(191, 479, 236, 524)(193, 481, 238, 526)(195, 483, 240, 528)(196, 484, 241, 529)(198, 486, 242, 530)(200, 488, 244, 532)(201, 489, 245, 533)(203, 491, 248, 536)(205, 493, 250, 538)(208, 496, 235, 523)(211, 499, 234, 522)(212, 500, 233, 521)(213, 501, 230, 518)(215, 503, 255, 543)(217, 505, 257, 545)(222, 510, 259, 547)(223, 511, 260, 548)(225, 513, 263, 551)(227, 515, 265, 553)(237, 525, 270, 558)(239, 527, 272, 560)(243, 531, 261, 549)(246, 534, 258, 546)(247, 535, 273, 561)(249, 537, 275, 563)(251, 539, 269, 557)(252, 540, 271, 559)(253, 541, 268, 556)(254, 542, 266, 554)(256, 544, 267, 555)(262, 550, 278, 566)(264, 552, 280, 568)(274, 562, 283, 571)(276, 564, 285, 573)(277, 565, 284, 572)(279, 567, 286, 574)(281, 569, 288, 576)(282, 570, 287, 575)(577, 865, 579, 867, 584, 872, 580, 868)(578, 866, 581, 869, 587, 875, 582, 870)(583, 871, 589, 877, 600, 888, 590, 878)(585, 873, 592, 880, 605, 893, 593, 881)(586, 874, 594, 882, 608, 896, 595, 883)(588, 876, 597, 885, 613, 901, 598, 886)(591, 879, 602, 890, 621, 909, 603, 891)(596, 884, 610, 898, 634, 922, 611, 899)(599, 887, 615, 903, 642, 930, 616, 904)(601, 889, 618, 906, 647, 935, 619, 907)(604, 892, 623, 911, 655, 943, 624, 912)(606, 894, 626, 914, 660, 948, 627, 915)(607, 895, 628, 916, 663, 951, 629, 917)(609, 897, 631, 919, 668, 956, 632, 920)(612, 900, 636, 924, 676, 964, 637, 925)(614, 902, 639, 927, 681, 969, 640, 928)(617, 905, 644, 932, 687, 975, 645, 933)(620, 908, 649, 937, 694, 982, 650, 938)(622, 910, 652, 940, 699, 987, 653, 941)(625, 913, 657, 945, 704, 992, 658, 946)(630, 918, 665, 953, 711, 999, 666, 954)(633, 921, 670, 958, 718, 1006, 671, 959)(635, 923, 673, 961, 723, 1011, 674, 962)(638, 926, 678, 966, 728, 1016, 679, 967)(641, 929, 683, 971, 661, 949, 684, 972)(643, 931, 685, 973, 731, 1019, 686, 974)(646, 934, 689, 977, 735, 1023, 690, 978)(648, 936, 692, 980, 654, 942, 693, 981)(651, 939, 696, 984, 742, 1030, 697, 985)(656, 944, 701, 989, 749, 1037, 702, 990)(659, 947, 705, 993, 752, 1040, 706, 994)(662, 950, 707, 995, 682, 970, 708, 996)(664, 952, 709, 997, 753, 1041, 710, 998)(667, 955, 713, 1001, 757, 1045, 714, 1002)(669, 957, 716, 1004, 675, 963, 717, 1005)(672, 960, 720, 1008, 764, 1052, 721, 1009)(677, 965, 725, 1013, 771, 1059, 726, 1014)(680, 968, 729, 1017, 774, 1062, 730, 1018)(688, 976, 733, 1021, 779, 1067, 734, 1022)(691, 979, 737, 1025, 784, 1072, 738, 1026)(695, 983, 740, 1028, 787, 1075, 741, 1029)(698, 986, 744, 1032, 789, 1077, 745, 1033)(700, 988, 743, 1031, 788, 1076, 747, 1035)(703, 991, 746, 1034, 791, 1079, 750, 1038)(712, 1000, 755, 1043, 801, 1089, 756, 1044)(715, 1003, 759, 1047, 806, 1094, 760, 1048)(719, 1007, 762, 1050, 809, 1097, 763, 1051)(722, 1010, 766, 1054, 811, 1099, 767, 1055)(724, 1012, 765, 1053, 810, 1098, 769, 1057)(727, 1015, 768, 1056, 813, 1101, 772, 1060)(732, 1020, 776, 1064, 751, 1039, 777, 1065)(736, 1024, 781, 1069, 827, 1115, 782, 1070)(739, 1027, 785, 1073, 829, 1117, 786, 1074)(748, 1036, 790, 1078, 830, 1118, 793, 1081)(754, 1042, 798, 1086, 773, 1061, 799, 1087)(758, 1046, 803, 1091, 842, 1130, 804, 1092)(761, 1049, 807, 1095, 844, 1132, 808, 1096)(770, 1058, 812, 1100, 845, 1133, 815, 1103)(775, 1063, 819, 1107, 796, 1084, 820, 1108)(778, 1066, 822, 1110, 795, 1083, 823, 1111)(780, 1068, 821, 1109, 794, 1082, 825, 1113)(783, 1071, 824, 1112, 850, 1138, 828, 1116)(792, 1080, 832, 1120, 853, 1141, 831, 1119)(797, 1085, 834, 1122, 818, 1106, 835, 1123)(800, 1088, 837, 1125, 817, 1105, 838, 1126)(802, 1090, 836, 1124, 816, 1104, 840, 1128)(805, 1093, 839, 1127, 855, 1143, 843, 1131)(814, 1102, 847, 1135, 858, 1146, 846, 1134)(826, 1114, 849, 1137, 833, 1121, 852, 1140)(841, 1129, 854, 1142, 848, 1136, 857, 1145)(851, 1139, 860, 1148, 864, 1152, 859, 1147)(856, 1144, 863, 1151, 861, 1149, 862, 1150)
	L = (1, 578)(2, 577)(3, 583)(4, 585)(5, 586)(6, 588)(7, 579)(8, 591)(9, 580)(10, 581)(11, 596)(12, 582)(13, 599)(14, 601)(15, 584)(16, 604)(17, 606)(18, 607)(19, 609)(20, 587)(21, 612)(22, 614)(23, 589)(24, 617)(25, 590)(26, 620)(27, 622)(28, 592)(29, 625)(30, 593)(31, 594)(32, 630)(33, 595)(34, 633)(35, 635)(36, 597)(37, 638)(38, 598)(39, 641)(40, 643)(41, 600)(42, 646)(43, 648)(44, 602)(45, 651)(46, 603)(47, 654)(48, 656)(49, 605)(50, 659)(51, 661)(52, 662)(53, 664)(54, 608)(55, 667)(56, 669)(57, 610)(58, 672)(59, 611)(60, 675)(61, 677)(62, 613)(63, 680)(64, 682)(65, 615)(66, 674)(67, 616)(68, 679)(69, 688)(70, 618)(71, 691)(72, 619)(73, 681)(74, 695)(75, 621)(76, 698)(77, 663)(78, 623)(79, 700)(80, 624)(81, 703)(82, 665)(83, 626)(84, 670)(85, 627)(86, 628)(87, 653)(88, 629)(89, 658)(90, 712)(91, 631)(92, 715)(93, 632)(94, 660)(95, 719)(96, 634)(97, 722)(98, 642)(99, 636)(100, 724)(101, 637)(102, 727)(103, 644)(104, 639)(105, 649)(106, 640)(107, 707)(108, 717)(109, 726)(110, 729)(111, 732)(112, 645)(113, 730)(114, 736)(115, 647)(116, 739)(117, 708)(118, 734)(119, 650)(120, 738)(121, 743)(122, 652)(123, 746)(124, 655)(125, 748)(126, 709)(127, 657)(128, 751)(129, 710)(130, 713)(131, 683)(132, 693)(133, 702)(134, 705)(135, 754)(136, 666)(137, 706)(138, 758)(139, 668)(140, 761)(141, 684)(142, 756)(143, 671)(144, 760)(145, 765)(146, 673)(147, 768)(148, 676)(149, 770)(150, 685)(151, 678)(152, 773)(153, 686)(154, 689)(155, 775)(156, 687)(157, 778)(158, 694)(159, 780)(160, 690)(161, 783)(162, 696)(163, 692)(164, 782)(165, 785)(166, 764)(167, 697)(168, 786)(169, 790)(170, 699)(171, 792)(172, 701)(173, 794)(174, 795)(175, 704)(176, 796)(177, 797)(178, 711)(179, 800)(180, 718)(181, 802)(182, 714)(183, 805)(184, 720)(185, 716)(186, 804)(187, 807)(188, 742)(189, 721)(190, 808)(191, 812)(192, 723)(193, 814)(194, 725)(195, 816)(196, 817)(197, 728)(198, 818)(199, 731)(200, 820)(201, 821)(202, 733)(203, 824)(204, 735)(205, 826)(206, 740)(207, 737)(208, 811)(209, 741)(210, 744)(211, 810)(212, 809)(213, 806)(214, 745)(215, 831)(216, 747)(217, 833)(218, 749)(219, 750)(220, 752)(221, 753)(222, 835)(223, 836)(224, 755)(225, 839)(226, 757)(227, 841)(228, 762)(229, 759)(230, 789)(231, 763)(232, 766)(233, 788)(234, 787)(235, 784)(236, 767)(237, 846)(238, 769)(239, 848)(240, 771)(241, 772)(242, 774)(243, 837)(244, 776)(245, 777)(246, 834)(247, 849)(248, 779)(249, 851)(250, 781)(251, 845)(252, 847)(253, 844)(254, 842)(255, 791)(256, 843)(257, 793)(258, 822)(259, 798)(260, 799)(261, 819)(262, 854)(263, 801)(264, 856)(265, 803)(266, 830)(267, 832)(268, 829)(269, 827)(270, 813)(271, 828)(272, 815)(273, 823)(274, 859)(275, 825)(276, 861)(277, 860)(278, 838)(279, 862)(280, 840)(281, 864)(282, 863)(283, 850)(284, 853)(285, 852)(286, 855)(287, 858)(288, 857)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.2357
Graph:: bipartite
	v = 216 e = 576 f = 324
	degree seq :: [ 4^144, 8^72 ]

E19.2355 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C12 x C3) : C4) : C2 (small group id <288, 430>)
Aut   = $<576, 5339>$ (small group id <576, 5339>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (Y2 * Y1^-1 * Y2^2)^2, Y2^8, (Y2 * Y1^-1)^6 ]
Map::
	R = (1, 289, 2, 290, 6, 294, 4, 292)(3, 291, 9, 297, 21, 309, 11, 299)(5, 293, 13, 301, 18, 306, 7, 295)(8, 296, 19, 307, 34, 322, 15, 303)(10, 298, 23, 311, 49, 337, 25, 313)(12, 300, 16, 304, 35, 323, 28, 316)(14, 302, 31, 319, 61, 349, 29, 317)(17, 305, 37, 325, 72, 360, 39, 327)(20, 308, 43, 331, 80, 368, 41, 329)(22, 310, 47, 335, 84, 372, 45, 333)(24, 312, 51, 339, 82, 370, 44, 332)(26, 314, 46, 334, 85, 373, 55, 343)(27, 315, 56, 344, 99, 387, 58, 346)(30, 318, 62, 350, 78, 366, 40, 328)(32, 320, 57, 345, 101, 389, 63, 351)(33, 321, 64, 352, 106, 394, 66, 354)(36, 324, 70, 358, 114, 402, 68, 356)(38, 326, 74, 362, 116, 404, 71, 359)(42, 330, 81, 369, 112, 400, 67, 355)(48, 336, 65, 353, 108, 396, 87, 375)(50, 338, 92, 380, 139, 427, 90, 378)(52, 340, 75, 363, 109, 397, 89, 377)(53, 341, 91, 379, 140, 428, 95, 383)(54, 342, 96, 384, 146, 434, 97, 385)(59, 347, 69, 357, 115, 403, 102, 390)(60, 348, 103, 391, 151, 439, 104, 392)(73, 361, 119, 407, 166, 454, 117, 405)(76, 364, 118, 406, 167, 455, 122, 410)(77, 365, 123, 411, 173, 461, 124, 412)(79, 367, 126, 414, 175, 463, 127, 415)(83, 371, 129, 417, 177, 465, 131, 419)(86, 374, 135, 423, 184, 472, 133, 421)(88, 376, 137, 425, 182, 470, 132, 420)(93, 381, 130, 418, 179, 467, 142, 430)(94, 382, 144, 432, 169, 457, 120, 408)(98, 386, 134, 422, 161, 449, 128, 416)(100, 388, 149, 437, 196, 484, 148, 436)(105, 393, 150, 438, 164, 452, 125, 413)(107, 395, 155, 443, 200, 488, 153, 441)(110, 398, 154, 442, 201, 489, 158, 446)(111, 399, 159, 447, 207, 495, 160, 448)(113, 401, 162, 450, 209, 497, 163, 451)(121, 409, 171, 459, 203, 491, 156, 444)(136, 424, 157, 445, 205, 493, 185, 473)(138, 426, 187, 475, 230, 518, 188, 476)(141, 429, 192, 480, 235, 523, 190, 478)(143, 431, 176, 464, 220, 508, 189, 477)(145, 433, 191, 479, 227, 515, 186, 474)(147, 435, 172, 460, 215, 503, 195, 483)(152, 440, 198, 486, 236, 524, 197, 485)(165, 453, 211, 499, 247, 535, 212, 500)(168, 456, 216, 504, 252, 540, 214, 502)(170, 458, 210, 498, 246, 534, 213, 501)(174, 462, 206, 494, 241, 529, 219, 507)(178, 466, 223, 511, 254, 542, 221, 509)(180, 468, 222, 510, 239, 527, 204, 492)(181, 469, 225, 513, 257, 545, 226, 514)(183, 471, 228, 516, 245, 533, 208, 496)(193, 481, 224, 512, 243, 531, 218, 506)(194, 482, 229, 517, 244, 532, 217, 505)(199, 487, 237, 525, 263, 551, 238, 526)(202, 490, 242, 530, 268, 556, 240, 528)(231, 519, 249, 537, 270, 558, 259, 547)(232, 520, 260, 548, 274, 562, 256, 544)(233, 521, 251, 539, 272, 560, 261, 549)(234, 522, 262, 550, 276, 564, 258, 546)(248, 536, 265, 553, 280, 568, 269, 557)(250, 538, 267, 555, 282, 570, 271, 559)(253, 541, 273, 561, 279, 567, 264, 552)(255, 543, 275, 563, 281, 569, 266, 554)(277, 565, 284, 572, 287, 575, 285, 573)(278, 566, 283, 571, 288, 576, 286, 574)(577, 865, 579, 867, 586, 874, 600, 888, 628, 916, 608, 896, 590, 878, 581, 869)(578, 866, 583, 871, 593, 881, 614, 902, 651, 939, 620, 908, 596, 884, 584, 872)(580, 868, 588, 876, 603, 891, 633, 921, 665, 953, 624, 912, 598, 886, 585, 873)(582, 870, 591, 879, 609, 897, 641, 929, 685, 973, 647, 935, 612, 900, 592, 880)(587, 875, 602, 890, 630, 918, 607, 895, 639, 927, 669, 957, 626, 914, 599, 887)(589, 877, 605, 893, 636, 924, 670, 958, 627, 915, 601, 889, 629, 917, 606, 894)(594, 882, 616, 904, 653, 941, 619, 907, 658, 946, 696, 984, 649, 937, 613, 901)(595, 883, 617, 905, 655, 943, 697, 985, 650, 938, 615, 903, 652, 940, 618, 906)(597, 885, 621, 909, 659, 947, 706, 994, 677, 965, 634, 922, 662, 950, 622, 910)(604, 892, 635, 923, 664, 952, 623, 911, 663, 951, 712, 1000, 676, 964, 632, 920)(610, 898, 643, 931, 687, 975, 646, 934, 692, 980, 732, 1020, 683, 971, 640, 928)(611, 899, 644, 932, 689, 977, 733, 1021, 684, 972, 642, 930, 686, 974, 645, 933)(625, 913, 666, 954, 714, 1002, 679, 967, 637, 925, 673, 961, 717, 1005, 667, 955)(631, 919, 674, 962, 719, 1007, 668, 956, 718, 1006, 769, 1057, 723, 1011, 672, 960)(638, 926, 671, 959, 721, 1009, 770, 1058, 720, 1008, 680, 968, 728, 1016, 681, 969)(648, 936, 693, 981, 741, 1029, 702, 990, 656, 944, 700, 988, 744, 1032, 694, 982)(654, 942, 701, 989, 746, 1034, 695, 983, 745, 1033, 793, 1081, 750, 1038, 699, 987)(657, 945, 698, 986, 748, 1036, 794, 1082, 747, 1035, 703, 991, 752, 1040, 704, 992)(660, 948, 708, 996, 757, 1045, 711, 999, 675, 963, 724, 1012, 754, 1042, 705, 993)(661, 949, 709, 997, 759, 1047, 800, 1088, 755, 1043, 707, 995, 756, 1044, 710, 998)(678, 966, 726, 1014, 773, 1061, 725, 1013, 761, 1049, 805, 1093, 762, 1050, 713, 1001)(682, 970, 729, 1017, 775, 1063, 738, 1026, 690, 978, 736, 1024, 778, 1066, 730, 1018)(688, 976, 737, 1025, 780, 1068, 731, 1019, 779, 1067, 819, 1107, 784, 1072, 735, 1023)(691, 979, 734, 1022, 782, 1070, 820, 1108, 781, 1069, 739, 1027, 786, 1074, 740, 1028)(715, 1003, 765, 1053, 809, 1097, 768, 1056, 722, 1010, 771, 1059, 807, 1095, 763, 1051)(716, 1004, 766, 1054, 810, 1098, 774, 1062, 727, 1015, 764, 1052, 808, 1096, 767, 1055)(742, 1030, 789, 1077, 826, 1114, 792, 1080, 749, 1037, 795, 1083, 824, 1112, 787, 1075)(743, 1031, 790, 1078, 827, 1115, 796, 1084, 751, 1039, 788, 1076, 825, 1113, 791, 1079)(753, 1041, 797, 1085, 829, 1117, 804, 1092, 760, 1048, 802, 1090, 831, 1119, 798, 1086)(758, 1046, 803, 1091, 832, 1120, 799, 1087, 772, 1060, 812, 1100, 834, 1122, 801, 1089)(776, 1064, 815, 1103, 842, 1130, 818, 1106, 783, 1071, 821, 1109, 840, 1128, 813, 1101)(777, 1065, 816, 1104, 843, 1131, 822, 1110, 785, 1073, 814, 1102, 841, 1129, 817, 1105)(806, 1094, 835, 1123, 853, 1141, 838, 1126, 811, 1099, 837, 1125, 854, 1142, 836, 1124)(823, 1111, 845, 1133, 859, 1147, 848, 1136, 828, 1116, 847, 1135, 860, 1148, 846, 1134)(830, 1118, 850, 1138, 862, 1150, 851, 1139, 833, 1121, 852, 1140, 861, 1149, 849, 1137)(839, 1127, 855, 1143, 863, 1151, 858, 1146, 844, 1132, 857, 1145, 864, 1152, 856, 1144)
	L = (1, 579)(2, 583)(3, 586)(4, 588)(5, 577)(6, 591)(7, 593)(8, 578)(9, 580)(10, 600)(11, 602)(12, 603)(13, 605)(14, 581)(15, 609)(16, 582)(17, 614)(18, 616)(19, 617)(20, 584)(21, 621)(22, 585)(23, 587)(24, 628)(25, 629)(26, 630)(27, 633)(28, 635)(29, 636)(30, 589)(31, 639)(32, 590)(33, 641)(34, 643)(35, 644)(36, 592)(37, 594)(38, 651)(39, 652)(40, 653)(41, 655)(42, 595)(43, 658)(44, 596)(45, 659)(46, 597)(47, 663)(48, 598)(49, 666)(50, 599)(51, 601)(52, 608)(53, 606)(54, 607)(55, 674)(56, 604)(57, 665)(58, 662)(59, 664)(60, 670)(61, 673)(62, 671)(63, 669)(64, 610)(65, 685)(66, 686)(67, 687)(68, 689)(69, 611)(70, 692)(71, 612)(72, 693)(73, 613)(74, 615)(75, 620)(76, 618)(77, 619)(78, 701)(79, 697)(80, 700)(81, 698)(82, 696)(83, 706)(84, 708)(85, 709)(86, 622)(87, 712)(88, 623)(89, 624)(90, 714)(91, 625)(92, 718)(93, 626)(94, 627)(95, 721)(96, 631)(97, 717)(98, 719)(99, 724)(100, 632)(101, 634)(102, 726)(103, 637)(104, 728)(105, 638)(106, 729)(107, 640)(108, 642)(109, 647)(110, 645)(111, 646)(112, 737)(113, 733)(114, 736)(115, 734)(116, 732)(117, 741)(118, 648)(119, 745)(120, 649)(121, 650)(122, 748)(123, 654)(124, 744)(125, 746)(126, 656)(127, 752)(128, 657)(129, 660)(130, 677)(131, 756)(132, 757)(133, 759)(134, 661)(135, 675)(136, 676)(137, 678)(138, 679)(139, 765)(140, 766)(141, 667)(142, 769)(143, 668)(144, 680)(145, 770)(146, 771)(147, 672)(148, 754)(149, 761)(150, 773)(151, 764)(152, 681)(153, 775)(154, 682)(155, 779)(156, 683)(157, 684)(158, 782)(159, 688)(160, 778)(161, 780)(162, 690)(163, 786)(164, 691)(165, 702)(166, 789)(167, 790)(168, 694)(169, 793)(170, 695)(171, 703)(172, 794)(173, 795)(174, 699)(175, 788)(176, 704)(177, 797)(178, 705)(179, 707)(180, 710)(181, 711)(182, 803)(183, 800)(184, 802)(185, 805)(186, 713)(187, 715)(188, 808)(189, 809)(190, 810)(191, 716)(192, 722)(193, 723)(194, 720)(195, 807)(196, 812)(197, 725)(198, 727)(199, 738)(200, 815)(201, 816)(202, 730)(203, 819)(204, 731)(205, 739)(206, 820)(207, 821)(208, 735)(209, 814)(210, 740)(211, 742)(212, 825)(213, 826)(214, 827)(215, 743)(216, 749)(217, 750)(218, 747)(219, 824)(220, 751)(221, 829)(222, 753)(223, 772)(224, 755)(225, 758)(226, 831)(227, 832)(228, 760)(229, 762)(230, 835)(231, 763)(232, 767)(233, 768)(234, 774)(235, 837)(236, 834)(237, 776)(238, 841)(239, 842)(240, 843)(241, 777)(242, 783)(243, 784)(244, 781)(245, 840)(246, 785)(247, 845)(248, 787)(249, 791)(250, 792)(251, 796)(252, 847)(253, 804)(254, 850)(255, 798)(256, 799)(257, 852)(258, 801)(259, 853)(260, 806)(261, 854)(262, 811)(263, 855)(264, 813)(265, 817)(266, 818)(267, 822)(268, 857)(269, 859)(270, 823)(271, 860)(272, 828)(273, 830)(274, 862)(275, 833)(276, 861)(277, 838)(278, 836)(279, 863)(280, 839)(281, 864)(282, 844)(283, 848)(284, 846)(285, 849)(286, 851)(287, 858)(288, 856)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2356
Graph:: bipartite
	v = 108 e = 576 f = 432
	degree seq :: [ 8^72, 16^36 ]

E19.2356 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C12 x C3) : C4) : C2 (small group id <288, 430>)
Aut   = $<576, 5339>$ (small group id <576, 5339>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^8, (Y3 * Y2)^4, (Y3^-2 * Y2 * Y3^-2)^2, (Y3^-2 * Y2 * Y3 * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y3 * Y2 * Y3^-2)^2, (Y3^-1 * Y1^-1)^8, Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-1 ]
Map:: polytopal
	R = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)(577, 865, 578, 866)(579, 867, 583, 871)(580, 868, 585, 873)(581, 869, 587, 875)(582, 870, 589, 877)(584, 872, 593, 881)(586, 874, 597, 885)(588, 876, 601, 889)(590, 878, 605, 893)(591, 879, 604, 892)(592, 880, 608, 896)(594, 882, 612, 900)(595, 883, 614, 902)(596, 884, 599, 887)(598, 886, 619, 907)(600, 888, 621, 909)(602, 890, 625, 913)(603, 891, 627, 915)(606, 894, 632, 920)(607, 895, 633, 921)(609, 897, 637, 925)(610, 898, 636, 924)(611, 899, 640, 928)(613, 901, 626, 914)(615, 903, 646, 934)(616, 904, 647, 935)(617, 905, 648, 936)(618, 906, 644, 932)(620, 908, 649, 937)(622, 910, 653, 941)(623, 911, 652, 940)(624, 912, 656, 944)(628, 916, 662, 950)(629, 917, 663, 951)(630, 918, 664, 952)(631, 919, 660, 948)(634, 922, 667, 955)(635, 923, 668, 956)(638, 926, 659, 947)(639, 927, 673, 961)(641, 929, 676, 964)(642, 930, 675, 963)(643, 931, 654, 942)(645, 933, 678, 966)(650, 938, 685, 973)(651, 939, 686, 974)(655, 943, 691, 979)(657, 945, 694, 982)(658, 946, 693, 981)(661, 949, 696, 984)(665, 953, 700, 988)(666, 954, 702, 990)(669, 957, 707, 995)(670, 958, 708, 996)(671, 959, 698, 986)(672, 960, 705, 993)(674, 962, 711, 999)(677, 965, 715, 1003)(679, 967, 717, 1005)(680, 968, 689, 977)(681, 969, 720, 1008)(682, 970, 683, 971)(684, 972, 722, 1010)(687, 975, 727, 1015)(688, 976, 728, 1016)(690, 978, 725, 1013)(692, 980, 731, 1019)(695, 983, 735, 1023)(697, 985, 737, 1025)(699, 987, 740, 1028)(701, 989, 741, 1029)(703, 991, 744, 1032)(704, 992, 743, 1031)(706, 994, 746, 1034)(709, 997, 750, 1038)(710, 998, 752, 1040)(712, 1000, 756, 1044)(713, 1001, 748, 1036)(714, 1002, 754, 1042)(716, 1004, 758, 1046)(718, 1006, 761, 1049)(719, 1007, 762, 1050)(721, 1009, 763, 1051)(723, 1011, 766, 1054)(724, 1012, 765, 1053)(726, 1014, 768, 1056)(729, 1017, 772, 1060)(730, 1018, 774, 1062)(732, 1020, 778, 1066)(733, 1021, 770, 1058)(734, 1022, 776, 1064)(736, 1024, 780, 1068)(738, 1026, 783, 1071)(739, 1027, 784, 1072)(742, 1030, 787, 1075)(745, 1033, 791, 1079)(747, 1035, 793, 1081)(749, 1037, 796, 1084)(751, 1039, 775, 1063)(753, 1041, 773, 1061)(755, 1043, 799, 1087)(757, 1045, 801, 1089)(759, 1047, 803, 1091)(760, 1048, 804, 1092)(764, 1052, 807, 1095)(767, 1055, 811, 1099)(769, 1057, 813, 1101)(771, 1059, 816, 1104)(777, 1065, 819, 1107)(779, 1067, 821, 1109)(781, 1069, 823, 1111)(782, 1070, 824, 1112)(785, 1073, 805, 1093)(786, 1074, 825, 1113)(788, 1076, 828, 1116)(789, 1077, 809, 1097)(790, 1078, 826, 1114)(792, 1080, 830, 1118)(794, 1082, 817, 1105)(795, 1083, 818, 1106)(797, 1085, 814, 1102)(798, 1086, 815, 1103)(800, 1088, 834, 1122)(802, 1090, 836, 1124)(806, 1094, 837, 1125)(808, 1096, 840, 1128)(810, 1098, 838, 1126)(812, 1100, 842, 1130)(820, 1108, 846, 1134)(822, 1110, 848, 1136)(827, 1115, 849, 1137)(829, 1117, 851, 1139)(831, 1119, 847, 1135)(832, 1120, 845, 1133)(833, 1121, 844, 1132)(835, 1123, 843, 1131)(839, 1127, 855, 1143)(841, 1129, 857, 1145)(850, 1138, 861, 1149)(852, 1140, 860, 1148)(853, 1141, 862, 1150)(854, 1142, 858, 1146)(856, 1144, 863, 1151)(859, 1147, 864, 1152)
	L = (1, 579)(2, 581)(3, 584)(4, 577)(5, 588)(6, 578)(7, 591)(8, 594)(9, 595)(10, 580)(11, 599)(12, 602)(13, 603)(14, 582)(15, 607)(16, 583)(17, 610)(18, 613)(19, 615)(20, 585)(21, 617)(22, 586)(23, 620)(24, 587)(25, 623)(26, 626)(27, 628)(28, 589)(29, 630)(30, 590)(31, 634)(32, 635)(33, 592)(34, 639)(35, 593)(36, 642)(37, 598)(38, 644)(39, 643)(40, 596)(41, 641)(42, 597)(43, 638)(44, 650)(45, 651)(46, 600)(47, 655)(48, 601)(49, 658)(50, 606)(51, 660)(52, 659)(53, 604)(54, 657)(55, 605)(56, 654)(57, 665)(58, 619)(59, 669)(60, 608)(61, 671)(62, 609)(63, 618)(64, 674)(65, 611)(66, 616)(67, 612)(68, 677)(69, 614)(70, 679)(71, 681)(72, 667)(73, 683)(74, 632)(75, 687)(76, 621)(77, 689)(78, 622)(79, 631)(80, 692)(81, 624)(82, 629)(83, 625)(84, 695)(85, 627)(86, 697)(87, 699)(88, 685)(89, 701)(90, 633)(91, 704)(92, 705)(93, 648)(94, 636)(95, 703)(96, 637)(97, 709)(98, 645)(99, 640)(100, 713)(101, 712)(102, 716)(103, 718)(104, 646)(105, 719)(106, 647)(107, 721)(108, 649)(109, 724)(110, 725)(111, 664)(112, 652)(113, 723)(114, 653)(115, 729)(116, 661)(117, 656)(118, 733)(119, 732)(120, 736)(121, 738)(122, 662)(123, 739)(124, 663)(125, 672)(126, 742)(127, 666)(128, 670)(129, 745)(130, 668)(131, 747)(132, 749)(133, 751)(134, 673)(135, 754)(136, 675)(137, 753)(138, 676)(139, 752)(140, 759)(141, 678)(142, 682)(143, 680)(144, 756)(145, 690)(146, 764)(147, 684)(148, 688)(149, 767)(150, 686)(151, 769)(152, 771)(153, 773)(154, 691)(155, 776)(156, 693)(157, 775)(158, 694)(159, 774)(160, 781)(161, 696)(162, 700)(163, 698)(164, 778)(165, 785)(166, 706)(167, 702)(168, 789)(169, 788)(170, 792)(171, 794)(172, 707)(173, 795)(174, 708)(175, 714)(176, 797)(177, 710)(178, 798)(179, 711)(180, 800)(181, 715)(182, 799)(183, 720)(184, 717)(185, 790)(186, 786)(187, 805)(188, 726)(189, 722)(190, 809)(191, 808)(192, 812)(193, 814)(194, 727)(195, 815)(196, 728)(197, 734)(198, 817)(199, 730)(200, 818)(201, 731)(202, 820)(203, 735)(204, 819)(205, 740)(206, 737)(207, 810)(208, 806)(209, 761)(210, 741)(211, 826)(212, 743)(213, 762)(214, 744)(215, 825)(216, 831)(217, 746)(218, 750)(219, 748)(220, 828)(221, 755)(222, 757)(223, 833)(224, 760)(225, 835)(226, 758)(227, 827)(228, 829)(229, 783)(230, 763)(231, 838)(232, 765)(233, 784)(234, 766)(235, 837)(236, 843)(237, 768)(238, 772)(239, 770)(240, 840)(241, 777)(242, 779)(243, 845)(244, 782)(245, 847)(246, 780)(247, 839)(248, 841)(249, 803)(250, 804)(251, 787)(252, 850)(253, 791)(254, 849)(255, 796)(256, 793)(257, 853)(258, 801)(259, 802)(260, 854)(261, 823)(262, 824)(263, 807)(264, 856)(265, 811)(266, 855)(267, 816)(268, 813)(269, 859)(270, 821)(271, 822)(272, 860)(273, 836)(274, 832)(275, 862)(276, 830)(277, 834)(278, 861)(279, 848)(280, 844)(281, 864)(282, 842)(283, 846)(284, 863)(285, 851)(286, 852)(287, 857)(288, 858)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.2355
Graph:: simple bipartite
	v = 432 e = 576 f = 108
	degree seq :: [ 2^288, 4^144 ]

E19.2357 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C12 x C3) : C4) : C2 (small group id <288, 430>)
Aut   = $<576, 5339>$ (small group id <576, 5339>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y1^8, Y1^3 * Y3 * Y1^-4 * Y3^-1 * Y1, Y1^-1 * Y3^-1 * Y1^-3 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y1 * Y3 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^2 * Y3^-1 * Y1^-3 * Y3, Y1 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1, Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 ]
Map:: polytopal
	R = (1, 289, 2, 290, 5, 293, 11, 299, 23, 311, 22, 310, 10, 298, 4, 292)(3, 291, 7, 295, 15, 303, 31, 319, 44, 332, 37, 325, 18, 306, 8, 296)(6, 294, 13, 301, 27, 315, 51, 339, 43, 331, 56, 344, 30, 318, 14, 302)(9, 297, 19, 307, 38, 326, 46, 334, 24, 312, 45, 333, 40, 328, 20, 308)(12, 300, 25, 313, 47, 335, 42, 330, 21, 309, 41, 329, 50, 338, 26, 314)(16, 304, 33, 321, 60, 348, 93, 381, 67, 355, 74, 362, 62, 350, 34, 322)(17, 305, 35, 323, 63, 351, 88, 376, 57, 345, 83, 371, 53, 341, 28, 316)(29, 317, 54, 342, 84, 372, 72, 360, 79, 367, 111, 399, 76, 364, 48, 336)(32, 320, 58, 346, 89, 377, 66, 354, 36, 324, 65, 353, 92, 380, 59, 347)(39, 327, 69, 357, 103, 391, 107, 395, 73, 361, 49, 337, 77, 365, 70, 358)(52, 340, 80, 368, 115, 403, 87, 375, 55, 343, 86, 374, 118, 406, 81, 369)(61, 349, 95, 383, 132, 420, 100, 388, 129, 417, 168, 456, 126, 414, 90, 378)(64, 352, 98, 386, 137, 425, 161, 449, 120, 408, 91, 379, 127, 415, 99, 387)(68, 356, 101, 389, 139, 427, 106, 394, 71, 359, 105, 393, 141, 429, 102, 390)(75, 363, 108, 396, 146, 434, 114, 402, 78, 366, 113, 401, 149, 437, 109, 397)(82, 370, 119, 407, 159, 447, 124, 412, 97, 385, 136, 424, 156, 444, 116, 404)(85, 373, 122, 410, 163, 451, 194, 482, 151, 439, 117, 405, 157, 445, 123, 411)(94, 382, 130, 418, 172, 460, 135, 423, 96, 384, 134, 422, 174, 462, 131, 419)(104, 392, 143, 431, 185, 473, 144, 432, 145, 433, 187, 475, 182, 470, 140, 428)(110, 398, 150, 438, 192, 480, 154, 442, 121, 409, 162, 450, 189, 477, 147, 435)(112, 400, 152, 440, 195, 483, 184, 472, 142, 430, 148, 436, 190, 478, 153, 441)(125, 413, 165, 453, 191, 479, 171, 459, 128, 416, 170, 458, 188, 476, 166, 454)(133, 421, 176, 464, 220, 508, 250, 538, 212, 500, 173, 461, 217, 505, 177, 465)(138, 426, 180, 468, 205, 493, 160, 448, 204, 492, 244, 532, 222, 510, 178, 466)(155, 443, 197, 485, 181, 469, 202, 490, 158, 446, 201, 489, 183, 471, 198, 486)(164, 452, 208, 496, 234, 522, 193, 481, 233, 521, 262, 550, 246, 534, 206, 494)(167, 455, 211, 499, 235, 523, 215, 503, 175, 463, 219, 507, 231, 519, 209, 497)(169, 457, 213, 501, 232, 520, 223, 511, 179, 467, 210, 498, 230, 518, 214, 502)(186, 474, 196, 484, 236, 524, 261, 549, 229, 517, 226, 514, 259, 547, 228, 516)(199, 487, 239, 527, 218, 506, 242, 530, 203, 491, 243, 531, 216, 504, 237, 525)(200, 488, 240, 528, 225, 513, 247, 535, 207, 495, 238, 526, 227, 515, 241, 529)(221, 509, 255, 543, 274, 562, 249, 537, 273, 561, 281, 569, 264, 552, 253, 541)(224, 512, 251, 539, 270, 558, 282, 570, 268, 556, 257, 545, 263, 551, 258, 546)(245, 533, 269, 557, 252, 540, 265, 553, 256, 544, 275, 563, 254, 542, 267, 555)(248, 536, 266, 554, 260, 548, 278, 566, 280, 568, 271, 559, 279, 567, 272, 560)(276, 564, 283, 571, 277, 565, 284, 572, 287, 575, 285, 573, 288, 576, 286, 574)(577, 865)(578, 866)(579, 867)(580, 868)(581, 869)(582, 870)(583, 871)(584, 872)(585, 873)(586, 874)(587, 875)(588, 876)(589, 877)(590, 878)(591, 879)(592, 880)(593, 881)(594, 882)(595, 883)(596, 884)(597, 885)(598, 886)(599, 887)(600, 888)(601, 889)(602, 890)(603, 891)(604, 892)(605, 893)(606, 894)(607, 895)(608, 896)(609, 897)(610, 898)(611, 899)(612, 900)(613, 901)(614, 902)(615, 903)(616, 904)(617, 905)(618, 906)(619, 907)(620, 908)(621, 909)(622, 910)(623, 911)(624, 912)(625, 913)(626, 914)(627, 915)(628, 916)(629, 917)(630, 918)(631, 919)(632, 920)(633, 921)(634, 922)(635, 923)(636, 924)(637, 925)(638, 926)(639, 927)(640, 928)(641, 929)(642, 930)(643, 931)(644, 932)(645, 933)(646, 934)(647, 935)(648, 936)(649, 937)(650, 938)(651, 939)(652, 940)(653, 941)(654, 942)(655, 943)(656, 944)(657, 945)(658, 946)(659, 947)(660, 948)(661, 949)(662, 950)(663, 951)(664, 952)(665, 953)(666, 954)(667, 955)(668, 956)(669, 957)(670, 958)(671, 959)(672, 960)(673, 961)(674, 962)(675, 963)(676, 964)(677, 965)(678, 966)(679, 967)(680, 968)(681, 969)(682, 970)(683, 971)(684, 972)(685, 973)(686, 974)(687, 975)(688, 976)(689, 977)(690, 978)(691, 979)(692, 980)(693, 981)(694, 982)(695, 983)(696, 984)(697, 985)(698, 986)(699, 987)(700, 988)(701, 989)(702, 990)(703, 991)(704, 992)(705, 993)(706, 994)(707, 995)(708, 996)(709, 997)(710, 998)(711, 999)(712, 1000)(713, 1001)(714, 1002)(715, 1003)(716, 1004)(717, 1005)(718, 1006)(719, 1007)(720, 1008)(721, 1009)(722, 1010)(723, 1011)(724, 1012)(725, 1013)(726, 1014)(727, 1015)(728, 1016)(729, 1017)(730, 1018)(731, 1019)(732, 1020)(733, 1021)(734, 1022)(735, 1023)(736, 1024)(737, 1025)(738, 1026)(739, 1027)(740, 1028)(741, 1029)(742, 1030)(743, 1031)(744, 1032)(745, 1033)(746, 1034)(747, 1035)(748, 1036)(749, 1037)(750, 1038)(751, 1039)(752, 1040)(753, 1041)(754, 1042)(755, 1043)(756, 1044)(757, 1045)(758, 1046)(759, 1047)(760, 1048)(761, 1049)(762, 1050)(763, 1051)(764, 1052)(765, 1053)(766, 1054)(767, 1055)(768, 1056)(769, 1057)(770, 1058)(771, 1059)(772, 1060)(773, 1061)(774, 1062)(775, 1063)(776, 1064)(777, 1065)(778, 1066)(779, 1067)(780, 1068)(781, 1069)(782, 1070)(783, 1071)(784, 1072)(785, 1073)(786, 1074)(787, 1075)(788, 1076)(789, 1077)(790, 1078)(791, 1079)(792, 1080)(793, 1081)(794, 1082)(795, 1083)(796, 1084)(797, 1085)(798, 1086)(799, 1087)(800, 1088)(801, 1089)(802, 1090)(803, 1091)(804, 1092)(805, 1093)(806, 1094)(807, 1095)(808, 1096)(809, 1097)(810, 1098)(811, 1099)(812, 1100)(813, 1101)(814, 1102)(815, 1103)(816, 1104)(817, 1105)(818, 1106)(819, 1107)(820, 1108)(821, 1109)(822, 1110)(823, 1111)(824, 1112)(825, 1113)(826, 1114)(827, 1115)(828, 1116)(829, 1117)(830, 1118)(831, 1119)(832, 1120)(833, 1121)(834, 1122)(835, 1123)(836, 1124)(837, 1125)(838, 1126)(839, 1127)(840, 1128)(841, 1129)(842, 1130)(843, 1131)(844, 1132)(845, 1133)(846, 1134)(847, 1135)(848, 1136)(849, 1137)(850, 1138)(851, 1139)(852, 1140)(853, 1141)(854, 1142)(855, 1143)(856, 1144)(857, 1145)(858, 1146)(859, 1147)(860, 1148)(861, 1149)(862, 1150)(863, 1151)(864, 1152)
	L = (1, 579)(2, 582)(3, 577)(4, 585)(5, 588)(6, 578)(7, 592)(8, 593)(9, 580)(10, 597)(11, 600)(12, 581)(13, 604)(14, 605)(15, 608)(16, 583)(17, 584)(18, 612)(19, 615)(20, 609)(21, 586)(22, 619)(23, 620)(24, 587)(25, 624)(26, 625)(27, 628)(28, 589)(29, 590)(30, 631)(31, 633)(32, 591)(33, 596)(34, 637)(35, 640)(36, 594)(37, 643)(38, 644)(39, 595)(40, 647)(41, 648)(42, 645)(43, 598)(44, 599)(45, 649)(46, 650)(47, 651)(48, 601)(49, 602)(50, 654)(51, 655)(52, 603)(53, 658)(54, 661)(55, 606)(56, 664)(57, 607)(58, 666)(59, 667)(60, 670)(61, 610)(62, 672)(63, 673)(64, 611)(65, 676)(66, 674)(67, 613)(68, 614)(69, 618)(70, 680)(71, 616)(72, 617)(73, 621)(74, 622)(75, 623)(76, 686)(77, 688)(78, 626)(79, 627)(80, 692)(81, 693)(82, 629)(83, 696)(84, 697)(85, 630)(86, 700)(87, 698)(88, 632)(89, 701)(90, 634)(91, 635)(92, 704)(93, 705)(94, 636)(95, 709)(96, 638)(97, 639)(98, 642)(99, 714)(100, 641)(101, 716)(102, 710)(103, 718)(104, 646)(105, 720)(106, 706)(107, 721)(108, 723)(109, 724)(110, 652)(111, 727)(112, 653)(113, 730)(114, 728)(115, 731)(116, 656)(117, 657)(118, 734)(119, 736)(120, 659)(121, 660)(122, 663)(123, 740)(124, 662)(125, 665)(126, 743)(127, 745)(128, 668)(129, 669)(130, 682)(131, 749)(132, 751)(133, 671)(134, 678)(135, 752)(136, 754)(137, 755)(138, 675)(139, 757)(140, 677)(141, 759)(142, 679)(143, 762)(144, 681)(145, 683)(146, 764)(147, 684)(148, 685)(149, 767)(150, 769)(151, 687)(152, 690)(153, 772)(154, 689)(155, 691)(156, 775)(157, 776)(158, 694)(159, 779)(160, 695)(161, 780)(162, 782)(163, 783)(164, 699)(165, 785)(166, 786)(167, 702)(168, 788)(169, 703)(170, 791)(171, 789)(172, 792)(173, 707)(174, 794)(175, 708)(176, 711)(177, 797)(178, 712)(179, 713)(180, 800)(181, 715)(182, 801)(183, 717)(184, 802)(185, 803)(186, 719)(187, 805)(188, 722)(189, 806)(190, 807)(191, 725)(192, 808)(193, 726)(194, 809)(195, 811)(196, 729)(197, 813)(198, 814)(199, 732)(200, 733)(201, 818)(202, 816)(203, 735)(204, 737)(205, 821)(206, 738)(207, 739)(208, 824)(209, 741)(210, 742)(211, 825)(212, 744)(213, 747)(214, 827)(215, 746)(216, 748)(217, 828)(218, 750)(219, 829)(220, 830)(221, 753)(222, 832)(223, 833)(224, 756)(225, 758)(226, 760)(227, 761)(228, 836)(229, 763)(230, 765)(231, 766)(232, 768)(233, 770)(234, 839)(235, 771)(236, 840)(237, 773)(238, 774)(239, 841)(240, 778)(241, 842)(242, 777)(243, 843)(244, 844)(245, 781)(246, 846)(247, 847)(248, 784)(249, 787)(250, 849)(251, 790)(252, 793)(253, 795)(254, 796)(255, 852)(256, 798)(257, 799)(258, 853)(259, 850)(260, 804)(261, 855)(262, 856)(263, 810)(264, 812)(265, 815)(266, 817)(267, 819)(268, 820)(269, 859)(270, 822)(271, 823)(272, 860)(273, 826)(274, 835)(275, 861)(276, 831)(277, 834)(278, 862)(279, 837)(280, 838)(281, 863)(282, 864)(283, 845)(284, 848)(285, 851)(286, 854)(287, 857)(288, 858)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	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 E19.2354
Graph:: simple bipartite
	v = 324 e = 576 f = 216
	degree seq :: [ 2^288, 16^36 ]

E19.2358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C12 x C3) : C4) : C2 (small group id <288, 430>)
Aut   = $<576, 5339>$ (small group id <576, 5339>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2)^4, Y2^8, (Y3 * Y2^-1)^4, Y2^-2 * Y1 * Y2^4 * Y1 * Y2^-2, (Y2^-2 * R * Y2^-2)^2, Y2^-1 * Y1 * Y2^-3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-2, (Y2^-1 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1)^2 ]
Map::
	R = (1, 289, 2, 290)(3, 291, 7, 295)(4, 292, 9, 297)(5, 293, 11, 299)(6, 294, 13, 301)(8, 296, 17, 305)(10, 298, 21, 309)(12, 300, 25, 313)(14, 302, 29, 317)(15, 303, 28, 316)(16, 304, 32, 320)(18, 306, 36, 324)(19, 307, 38, 326)(20, 308, 23, 311)(22, 310, 43, 331)(24, 312, 45, 333)(26, 314, 49, 337)(27, 315, 51, 339)(30, 318, 56, 344)(31, 319, 57, 345)(33, 321, 61, 349)(34, 322, 60, 348)(35, 323, 64, 352)(37, 325, 50, 338)(39, 327, 70, 358)(40, 328, 71, 359)(41, 329, 72, 360)(42, 330, 68, 356)(44, 332, 73, 361)(46, 334, 77, 365)(47, 335, 76, 364)(48, 336, 80, 368)(52, 340, 86, 374)(53, 341, 87, 375)(54, 342, 88, 376)(55, 343, 84, 372)(58, 346, 91, 379)(59, 347, 92, 380)(62, 350, 83, 371)(63, 351, 97, 385)(65, 353, 100, 388)(66, 354, 99, 387)(67, 355, 78, 366)(69, 357, 102, 390)(74, 362, 109, 397)(75, 363, 110, 398)(79, 367, 115, 403)(81, 369, 118, 406)(82, 370, 117, 405)(85, 373, 120, 408)(89, 377, 124, 412)(90, 378, 126, 414)(93, 381, 131, 419)(94, 382, 132, 420)(95, 383, 122, 410)(96, 384, 129, 417)(98, 386, 135, 423)(101, 389, 139, 427)(103, 391, 141, 429)(104, 392, 113, 401)(105, 393, 144, 432)(106, 394, 107, 395)(108, 396, 146, 434)(111, 399, 151, 439)(112, 400, 152, 440)(114, 402, 149, 437)(116, 404, 155, 443)(119, 407, 159, 447)(121, 409, 161, 449)(123, 411, 164, 452)(125, 413, 165, 453)(127, 415, 168, 456)(128, 416, 167, 455)(130, 418, 170, 458)(133, 421, 174, 462)(134, 422, 176, 464)(136, 424, 180, 468)(137, 425, 172, 460)(138, 426, 178, 466)(140, 428, 182, 470)(142, 430, 185, 473)(143, 431, 186, 474)(145, 433, 187, 475)(147, 435, 190, 478)(148, 436, 189, 477)(150, 438, 192, 480)(153, 441, 196, 484)(154, 442, 198, 486)(156, 444, 202, 490)(157, 445, 194, 482)(158, 446, 200, 488)(160, 448, 204, 492)(162, 450, 207, 495)(163, 451, 208, 496)(166, 454, 211, 499)(169, 457, 215, 503)(171, 459, 217, 505)(173, 461, 220, 508)(175, 463, 199, 487)(177, 465, 197, 485)(179, 467, 223, 511)(181, 469, 225, 513)(183, 471, 227, 515)(184, 472, 228, 516)(188, 476, 231, 519)(191, 479, 235, 523)(193, 481, 237, 525)(195, 483, 240, 528)(201, 489, 243, 531)(203, 491, 245, 533)(205, 493, 247, 535)(206, 494, 248, 536)(209, 497, 229, 517)(210, 498, 249, 537)(212, 500, 252, 540)(213, 501, 233, 521)(214, 502, 250, 538)(216, 504, 254, 542)(218, 506, 241, 529)(219, 507, 242, 530)(221, 509, 238, 526)(222, 510, 239, 527)(224, 512, 258, 546)(226, 514, 260, 548)(230, 518, 261, 549)(232, 520, 264, 552)(234, 522, 262, 550)(236, 524, 266, 554)(244, 532, 270, 558)(246, 534, 272, 560)(251, 539, 273, 561)(253, 541, 275, 563)(255, 543, 271, 559)(256, 544, 269, 557)(257, 545, 268, 556)(259, 547, 267, 555)(263, 551, 279, 567)(265, 553, 281, 569)(274, 562, 285, 573)(276, 564, 284, 572)(277, 565, 286, 574)(278, 566, 282, 570)(280, 568, 287, 575)(283, 571, 288, 576)(577, 865, 579, 867, 584, 872, 594, 882, 613, 901, 598, 886, 586, 874, 580, 868)(578, 866, 581, 869, 588, 876, 602, 890, 626, 914, 606, 894, 590, 878, 582, 870)(583, 871, 591, 879, 607, 895, 634, 922, 619, 907, 638, 926, 609, 897, 592, 880)(585, 873, 595, 883, 615, 903, 643, 931, 612, 900, 642, 930, 616, 904, 596, 884)(587, 875, 599, 887, 620, 908, 650, 938, 632, 920, 654, 942, 622, 910, 600, 888)(589, 877, 603, 891, 628, 916, 659, 947, 625, 913, 658, 946, 629, 917, 604, 892)(593, 881, 610, 898, 639, 927, 618, 906, 597, 885, 617, 905, 641, 929, 611, 899)(601, 889, 623, 911, 655, 943, 631, 919, 605, 893, 630, 918, 657, 945, 624, 912)(608, 896, 635, 923, 669, 957, 648, 936, 667, 955, 704, 992, 670, 958, 636, 924)(614, 902, 644, 932, 677, 965, 712, 1000, 675, 963, 640, 928, 674, 962, 645, 933)(621, 909, 651, 939, 687, 975, 664, 952, 685, 973, 724, 1012, 688, 976, 652, 940)(627, 915, 660, 948, 695, 983, 732, 1020, 693, 981, 656, 944, 692, 980, 661, 949)(633, 921, 665, 953, 701, 989, 672, 960, 637, 925, 671, 959, 703, 991, 666, 954)(646, 934, 679, 967, 718, 1006, 682, 970, 647, 935, 681, 969, 719, 1007, 680, 968)(649, 937, 683, 971, 721, 1009, 690, 978, 653, 941, 689, 977, 723, 1011, 684, 972)(662, 950, 697, 985, 738, 1026, 700, 988, 663, 951, 699, 987, 739, 1027, 698, 986)(668, 956, 705, 993, 745, 1033, 788, 1076, 743, 1031, 702, 990, 742, 1030, 706, 994)(673, 961, 709, 997, 751, 1039, 714, 1002, 676, 964, 713, 1001, 753, 1041, 710, 998)(678, 966, 716, 1004, 759, 1047, 720, 1008, 756, 1044, 800, 1088, 760, 1048, 717, 1005)(686, 974, 725, 1013, 767, 1055, 808, 1096, 765, 1053, 722, 1010, 764, 1052, 726, 1014)(691, 979, 729, 1017, 773, 1061, 734, 1022, 694, 982, 733, 1021, 775, 1063, 730, 1018)(696, 984, 736, 1024, 781, 1069, 740, 1028, 778, 1066, 820, 1108, 782, 1070, 737, 1025)(707, 995, 747, 1035, 794, 1082, 750, 1038, 708, 996, 749, 1037, 795, 1083, 748, 1036)(711, 999, 754, 1042, 798, 1086, 757, 1045, 715, 1003, 752, 1040, 797, 1085, 755, 1043)(727, 1015, 769, 1057, 814, 1102, 772, 1060, 728, 1016, 771, 1059, 815, 1103, 770, 1058)(731, 1019, 776, 1064, 818, 1106, 779, 1067, 735, 1023, 774, 1062, 817, 1105, 777, 1065)(741, 1029, 785, 1073, 761, 1049, 790, 1078, 744, 1032, 789, 1077, 762, 1050, 786, 1074)(746, 1034, 792, 1080, 831, 1119, 796, 1084, 828, 1116, 850, 1138, 832, 1120, 793, 1081)(758, 1046, 799, 1087, 833, 1121, 853, 1141, 834, 1122, 801, 1089, 835, 1123, 802, 1090)(763, 1051, 805, 1093, 783, 1071, 810, 1098, 766, 1054, 809, 1097, 784, 1072, 806, 1094)(768, 1056, 812, 1100, 843, 1131, 816, 1104, 840, 1128, 856, 1144, 844, 1132, 813, 1101)(780, 1068, 819, 1107, 845, 1133, 859, 1147, 846, 1134, 821, 1109, 847, 1135, 822, 1110)(787, 1075, 826, 1114, 804, 1092, 829, 1117, 791, 1079, 825, 1113, 803, 1091, 827, 1115)(807, 1095, 838, 1126, 824, 1112, 841, 1129, 811, 1099, 837, 1125, 823, 1111, 839, 1127)(830, 1118, 849, 1137, 836, 1124, 854, 1142, 861, 1149, 851, 1139, 862, 1150, 852, 1140)(842, 1130, 855, 1143, 848, 1136, 860, 1148, 863, 1151, 857, 1145, 864, 1152, 858, 1146)
	L = (1, 578)(2, 577)(3, 583)(4, 585)(5, 587)(6, 589)(7, 579)(8, 593)(9, 580)(10, 597)(11, 581)(12, 601)(13, 582)(14, 605)(15, 604)(16, 608)(17, 584)(18, 612)(19, 614)(20, 599)(21, 586)(22, 619)(23, 596)(24, 621)(25, 588)(26, 625)(27, 627)(28, 591)(29, 590)(30, 632)(31, 633)(32, 592)(33, 637)(34, 636)(35, 640)(36, 594)(37, 626)(38, 595)(39, 646)(40, 647)(41, 648)(42, 644)(43, 598)(44, 649)(45, 600)(46, 653)(47, 652)(48, 656)(49, 602)(50, 613)(51, 603)(52, 662)(53, 663)(54, 664)(55, 660)(56, 606)(57, 607)(58, 667)(59, 668)(60, 610)(61, 609)(62, 659)(63, 673)(64, 611)(65, 676)(66, 675)(67, 654)(68, 618)(69, 678)(70, 615)(71, 616)(72, 617)(73, 620)(74, 685)(75, 686)(76, 623)(77, 622)(78, 643)(79, 691)(80, 624)(81, 694)(82, 693)(83, 638)(84, 631)(85, 696)(86, 628)(87, 629)(88, 630)(89, 700)(90, 702)(91, 634)(92, 635)(93, 707)(94, 708)(95, 698)(96, 705)(97, 639)(98, 711)(99, 642)(100, 641)(101, 715)(102, 645)(103, 717)(104, 689)(105, 720)(106, 683)(107, 682)(108, 722)(109, 650)(110, 651)(111, 727)(112, 728)(113, 680)(114, 725)(115, 655)(116, 731)(117, 658)(118, 657)(119, 735)(120, 661)(121, 737)(122, 671)(123, 740)(124, 665)(125, 741)(126, 666)(127, 744)(128, 743)(129, 672)(130, 746)(131, 669)(132, 670)(133, 750)(134, 752)(135, 674)(136, 756)(137, 748)(138, 754)(139, 677)(140, 758)(141, 679)(142, 761)(143, 762)(144, 681)(145, 763)(146, 684)(147, 766)(148, 765)(149, 690)(150, 768)(151, 687)(152, 688)(153, 772)(154, 774)(155, 692)(156, 778)(157, 770)(158, 776)(159, 695)(160, 780)(161, 697)(162, 783)(163, 784)(164, 699)(165, 701)(166, 787)(167, 704)(168, 703)(169, 791)(170, 706)(171, 793)(172, 713)(173, 796)(174, 709)(175, 775)(176, 710)(177, 773)(178, 714)(179, 799)(180, 712)(181, 801)(182, 716)(183, 803)(184, 804)(185, 718)(186, 719)(187, 721)(188, 807)(189, 724)(190, 723)(191, 811)(192, 726)(193, 813)(194, 733)(195, 816)(196, 729)(197, 753)(198, 730)(199, 751)(200, 734)(201, 819)(202, 732)(203, 821)(204, 736)(205, 823)(206, 824)(207, 738)(208, 739)(209, 805)(210, 825)(211, 742)(212, 828)(213, 809)(214, 826)(215, 745)(216, 830)(217, 747)(218, 817)(219, 818)(220, 749)(221, 814)(222, 815)(223, 755)(224, 834)(225, 757)(226, 836)(227, 759)(228, 760)(229, 785)(230, 837)(231, 764)(232, 840)(233, 789)(234, 838)(235, 767)(236, 842)(237, 769)(238, 797)(239, 798)(240, 771)(241, 794)(242, 795)(243, 777)(244, 846)(245, 779)(246, 848)(247, 781)(248, 782)(249, 786)(250, 790)(251, 849)(252, 788)(253, 851)(254, 792)(255, 847)(256, 845)(257, 844)(258, 800)(259, 843)(260, 802)(261, 806)(262, 810)(263, 855)(264, 808)(265, 857)(266, 812)(267, 835)(268, 833)(269, 832)(270, 820)(271, 831)(272, 822)(273, 827)(274, 861)(275, 829)(276, 860)(277, 862)(278, 858)(279, 839)(280, 863)(281, 841)(282, 854)(283, 864)(284, 852)(285, 850)(286, 853)(287, 856)(288, 859)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2359
Graph:: bipartite
	v = 180 e = 576 f = 360
	degree seq :: [ 4^144, 16^36 ]

E19.2359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = ((C12 x C3) : C4) : C2 (small group id <288, 430>)
Aut   = $<576, 5339>$ (small group id <576, 5339>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1 * Y3^2)^2, (Y3 * Y1^-1)^6, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 289, 2, 290, 6, 294, 4, 292)(3, 291, 9, 297, 21, 309, 11, 299)(5, 293, 13, 301, 18, 306, 7, 295)(8, 296, 19, 307, 34, 322, 15, 303)(10, 298, 23, 311, 49, 337, 25, 313)(12, 300, 16, 304, 35, 323, 28, 316)(14, 302, 31, 319, 61, 349, 29, 317)(17, 305, 37, 325, 72, 360, 39, 327)(20, 308, 43, 331, 80, 368, 41, 329)(22, 310, 47, 335, 84, 372, 45, 333)(24, 312, 51, 339, 82, 370, 44, 332)(26, 314, 46, 334, 85, 373, 55, 343)(27, 315, 56, 344, 99, 387, 58, 346)(30, 318, 62, 350, 78, 366, 40, 328)(32, 320, 57, 345, 101, 389, 63, 351)(33, 321, 64, 352, 106, 394, 66, 354)(36, 324, 70, 358, 114, 402, 68, 356)(38, 326, 74, 362, 116, 404, 71, 359)(42, 330, 81, 369, 112, 400, 67, 355)(48, 336, 65, 353, 108, 396, 87, 375)(50, 338, 92, 380, 139, 427, 90, 378)(52, 340, 75, 363, 109, 397, 89, 377)(53, 341, 91, 379, 140, 428, 95, 383)(54, 342, 96, 384, 146, 434, 97, 385)(59, 347, 69, 357, 115, 403, 102, 390)(60, 348, 103, 391, 151, 439, 104, 392)(73, 361, 119, 407, 166, 454, 117, 405)(76, 364, 118, 406, 167, 455, 122, 410)(77, 365, 123, 411, 173, 461, 124, 412)(79, 367, 126, 414, 175, 463, 127, 415)(83, 371, 129, 417, 177, 465, 131, 419)(86, 374, 135, 423, 184, 472, 133, 421)(88, 376, 137, 425, 182, 470, 132, 420)(93, 381, 130, 418, 179, 467, 142, 430)(94, 382, 144, 432, 169, 457, 120, 408)(98, 386, 134, 422, 161, 449, 128, 416)(100, 388, 149, 437, 196, 484, 148, 436)(105, 393, 150, 438, 164, 452, 125, 413)(107, 395, 155, 443, 200, 488, 153, 441)(110, 398, 154, 442, 201, 489, 158, 446)(111, 399, 159, 447, 207, 495, 160, 448)(113, 401, 162, 450, 209, 497, 163, 451)(121, 409, 171, 459, 203, 491, 156, 444)(136, 424, 157, 445, 205, 493, 185, 473)(138, 426, 187, 475, 230, 518, 188, 476)(141, 429, 192, 480, 235, 523, 190, 478)(143, 431, 176, 464, 220, 508, 189, 477)(145, 433, 191, 479, 227, 515, 186, 474)(147, 435, 172, 460, 215, 503, 195, 483)(152, 440, 198, 486, 236, 524, 197, 485)(165, 453, 211, 499, 247, 535, 212, 500)(168, 456, 216, 504, 252, 540, 214, 502)(170, 458, 210, 498, 246, 534, 213, 501)(174, 462, 206, 494, 241, 529, 219, 507)(178, 466, 223, 511, 254, 542, 221, 509)(180, 468, 222, 510, 239, 527, 204, 492)(181, 469, 225, 513, 257, 545, 226, 514)(183, 471, 228, 516, 245, 533, 208, 496)(193, 481, 224, 512, 243, 531, 218, 506)(194, 482, 229, 517, 244, 532, 217, 505)(199, 487, 237, 525, 263, 551, 238, 526)(202, 490, 242, 530, 268, 556, 240, 528)(231, 519, 249, 537, 270, 558, 259, 547)(232, 520, 260, 548, 274, 562, 256, 544)(233, 521, 251, 539, 272, 560, 261, 549)(234, 522, 262, 550, 276, 564, 258, 546)(248, 536, 265, 553, 280, 568, 269, 557)(250, 538, 267, 555, 282, 570, 271, 559)(253, 541, 273, 561, 279, 567, 264, 552)(255, 543, 275, 563, 281, 569, 266, 554)(277, 565, 284, 572, 287, 575, 285, 573)(278, 566, 283, 571, 288, 576, 286, 574)(577, 865)(578, 866)(579, 867)(580, 868)(581, 869)(582, 870)(583, 871)(584, 872)(585, 873)(586, 874)(587, 875)(588, 876)(589, 877)(590, 878)(591, 879)(592, 880)(593, 881)(594, 882)(595, 883)(596, 884)(597, 885)(598, 886)(599, 887)(600, 888)(601, 889)(602, 890)(603, 891)(604, 892)(605, 893)(606, 894)(607, 895)(608, 896)(609, 897)(610, 898)(611, 899)(612, 900)(613, 901)(614, 902)(615, 903)(616, 904)(617, 905)(618, 906)(619, 907)(620, 908)(621, 909)(622, 910)(623, 911)(624, 912)(625, 913)(626, 914)(627, 915)(628, 916)(629, 917)(630, 918)(631, 919)(632, 920)(633, 921)(634, 922)(635, 923)(636, 924)(637, 925)(638, 926)(639, 927)(640, 928)(641, 929)(642, 930)(643, 931)(644, 932)(645, 933)(646, 934)(647, 935)(648, 936)(649, 937)(650, 938)(651, 939)(652, 940)(653, 941)(654, 942)(655, 943)(656, 944)(657, 945)(658, 946)(659, 947)(660, 948)(661, 949)(662, 950)(663, 951)(664, 952)(665, 953)(666, 954)(667, 955)(668, 956)(669, 957)(670, 958)(671, 959)(672, 960)(673, 961)(674, 962)(675, 963)(676, 964)(677, 965)(678, 966)(679, 967)(680, 968)(681, 969)(682, 970)(683, 971)(684, 972)(685, 973)(686, 974)(687, 975)(688, 976)(689, 977)(690, 978)(691, 979)(692, 980)(693, 981)(694, 982)(695, 983)(696, 984)(697, 985)(698, 986)(699, 987)(700, 988)(701, 989)(702, 990)(703, 991)(704, 992)(705, 993)(706, 994)(707, 995)(708, 996)(709, 997)(710, 998)(711, 999)(712, 1000)(713, 1001)(714, 1002)(715, 1003)(716, 1004)(717, 1005)(718, 1006)(719, 1007)(720, 1008)(721, 1009)(722, 1010)(723, 1011)(724, 1012)(725, 1013)(726, 1014)(727, 1015)(728, 1016)(729, 1017)(730, 1018)(731, 1019)(732, 1020)(733, 1021)(734, 1022)(735, 1023)(736, 1024)(737, 1025)(738, 1026)(739, 1027)(740, 1028)(741, 1029)(742, 1030)(743, 1031)(744, 1032)(745, 1033)(746, 1034)(747, 1035)(748, 1036)(749, 1037)(750, 1038)(751, 1039)(752, 1040)(753, 1041)(754, 1042)(755, 1043)(756, 1044)(757, 1045)(758, 1046)(759, 1047)(760, 1048)(761, 1049)(762, 1050)(763, 1051)(764, 1052)(765, 1053)(766, 1054)(767, 1055)(768, 1056)(769, 1057)(770, 1058)(771, 1059)(772, 1060)(773, 1061)(774, 1062)(775, 1063)(776, 1064)(777, 1065)(778, 1066)(779, 1067)(780, 1068)(781, 1069)(782, 1070)(783, 1071)(784, 1072)(785, 1073)(786, 1074)(787, 1075)(788, 1076)(789, 1077)(790, 1078)(791, 1079)(792, 1080)(793, 1081)(794, 1082)(795, 1083)(796, 1084)(797, 1085)(798, 1086)(799, 1087)(800, 1088)(801, 1089)(802, 1090)(803, 1091)(804, 1092)(805, 1093)(806, 1094)(807, 1095)(808, 1096)(809, 1097)(810, 1098)(811, 1099)(812, 1100)(813, 1101)(814, 1102)(815, 1103)(816, 1104)(817, 1105)(818, 1106)(819, 1107)(820, 1108)(821, 1109)(822, 1110)(823, 1111)(824, 1112)(825, 1113)(826, 1114)(827, 1115)(828, 1116)(829, 1117)(830, 1118)(831, 1119)(832, 1120)(833, 1121)(834, 1122)(835, 1123)(836, 1124)(837, 1125)(838, 1126)(839, 1127)(840, 1128)(841, 1129)(842, 1130)(843, 1131)(844, 1132)(845, 1133)(846, 1134)(847, 1135)(848, 1136)(849, 1137)(850, 1138)(851, 1139)(852, 1140)(853, 1141)(854, 1142)(855, 1143)(856, 1144)(857, 1145)(858, 1146)(859, 1147)(860, 1148)(861, 1149)(862, 1150)(863, 1151)(864, 1152)
	L = (1, 579)(2, 583)(3, 586)(4, 588)(5, 577)(6, 591)(7, 593)(8, 578)(9, 580)(10, 600)(11, 602)(12, 603)(13, 605)(14, 581)(15, 609)(16, 582)(17, 614)(18, 616)(19, 617)(20, 584)(21, 621)(22, 585)(23, 587)(24, 628)(25, 629)(26, 630)(27, 633)(28, 635)(29, 636)(30, 589)(31, 639)(32, 590)(33, 641)(34, 643)(35, 644)(36, 592)(37, 594)(38, 651)(39, 652)(40, 653)(41, 655)(42, 595)(43, 658)(44, 596)(45, 659)(46, 597)(47, 663)(48, 598)(49, 666)(50, 599)(51, 601)(52, 608)(53, 606)(54, 607)(55, 674)(56, 604)(57, 665)(58, 662)(59, 664)(60, 670)(61, 673)(62, 671)(63, 669)(64, 610)(65, 685)(66, 686)(67, 687)(68, 689)(69, 611)(70, 692)(71, 612)(72, 693)(73, 613)(74, 615)(75, 620)(76, 618)(77, 619)(78, 701)(79, 697)(80, 700)(81, 698)(82, 696)(83, 706)(84, 708)(85, 709)(86, 622)(87, 712)(88, 623)(89, 624)(90, 714)(91, 625)(92, 718)(93, 626)(94, 627)(95, 721)(96, 631)(97, 717)(98, 719)(99, 724)(100, 632)(101, 634)(102, 726)(103, 637)(104, 728)(105, 638)(106, 729)(107, 640)(108, 642)(109, 647)(110, 645)(111, 646)(112, 737)(113, 733)(114, 736)(115, 734)(116, 732)(117, 741)(118, 648)(119, 745)(120, 649)(121, 650)(122, 748)(123, 654)(124, 744)(125, 746)(126, 656)(127, 752)(128, 657)(129, 660)(130, 677)(131, 756)(132, 757)(133, 759)(134, 661)(135, 675)(136, 676)(137, 678)(138, 679)(139, 765)(140, 766)(141, 667)(142, 769)(143, 668)(144, 680)(145, 770)(146, 771)(147, 672)(148, 754)(149, 761)(150, 773)(151, 764)(152, 681)(153, 775)(154, 682)(155, 779)(156, 683)(157, 684)(158, 782)(159, 688)(160, 778)(161, 780)(162, 690)(163, 786)(164, 691)(165, 702)(166, 789)(167, 790)(168, 694)(169, 793)(170, 695)(171, 703)(172, 794)(173, 795)(174, 699)(175, 788)(176, 704)(177, 797)(178, 705)(179, 707)(180, 710)(181, 711)(182, 803)(183, 800)(184, 802)(185, 805)(186, 713)(187, 715)(188, 808)(189, 809)(190, 810)(191, 716)(192, 722)(193, 723)(194, 720)(195, 807)(196, 812)(197, 725)(198, 727)(199, 738)(200, 815)(201, 816)(202, 730)(203, 819)(204, 731)(205, 739)(206, 820)(207, 821)(208, 735)(209, 814)(210, 740)(211, 742)(212, 825)(213, 826)(214, 827)(215, 743)(216, 749)(217, 750)(218, 747)(219, 824)(220, 751)(221, 829)(222, 753)(223, 772)(224, 755)(225, 758)(226, 831)(227, 832)(228, 760)(229, 762)(230, 835)(231, 763)(232, 767)(233, 768)(234, 774)(235, 837)(236, 834)(237, 776)(238, 841)(239, 842)(240, 843)(241, 777)(242, 783)(243, 784)(244, 781)(245, 840)(246, 785)(247, 845)(248, 787)(249, 791)(250, 792)(251, 796)(252, 847)(253, 804)(254, 850)(255, 798)(256, 799)(257, 852)(258, 801)(259, 853)(260, 806)(261, 854)(262, 811)(263, 855)(264, 813)(265, 817)(266, 818)(267, 822)(268, 857)(269, 859)(270, 823)(271, 860)(272, 828)(273, 830)(274, 862)(275, 833)(276, 861)(277, 838)(278, 836)(279, 863)(280, 839)(281, 864)(282, 844)(283, 848)(284, 846)(285, 849)(286, 851)(287, 858)(288, 856)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.2358
Graph:: simple bipartite
	v = 360 e = 576 f = 180
	degree seq :: [ 2^288, 8^72 ]

E19.2360 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = (C4 x ((C3 x C3) : C4)) : C2 (small group id <288, 433>)
Aut   = $<576, 5357>$ (small group id <576, 5357>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^-1 * T2)^4, (T1^-1 * T2 * T1^-3)^2, T1^2 * T2 * T1^-4 * T2 * T1^2, (T1^-2 * T2 * T1 * T2 * T1^-1)^2, T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^2, T2 * T1^2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 60, 93, 67, 74, 62, 34)(17, 35, 63, 88, 57, 83, 53, 28)(29, 54, 84, 72, 79, 111, 76, 48)(32, 58, 89, 66, 36, 65, 92, 59)(39, 69, 103, 107, 73, 49, 77, 70)(52, 80, 115, 87, 55, 86, 118, 81)(61, 95, 132, 100, 129, 168, 126, 90)(64, 98, 137, 161, 120, 91, 127, 99)(68, 101, 139, 106, 71, 105, 141, 102)(75, 108, 146, 114, 78, 113, 149, 109)(82, 119, 159, 124, 97, 136, 156, 116)(85, 122, 163, 194, 151, 117, 157, 123)(94, 130, 172, 135, 96, 134, 174, 131)(104, 143, 185, 144, 145, 187, 182, 140)(110, 150, 192, 154, 121, 162, 189, 147)(112, 152, 195, 184, 142, 148, 190, 153)(125, 165, 188, 171, 128, 170, 191, 166)(133, 176, 220, 250, 212, 173, 217, 177)(138, 180, 205, 160, 204, 244, 222, 178)(155, 197, 183, 202, 158, 201, 181, 198)(164, 208, 234, 193, 233, 262, 246, 206)(167, 211, 231, 215, 175, 219, 235, 209)(169, 213, 230, 223, 179, 210, 232, 214)(186, 196, 236, 261, 229, 226, 259, 228)(199, 239, 216, 242, 203, 243, 218, 237)(200, 240, 227, 247, 207, 238, 225, 241)(221, 255, 264, 249, 273, 283, 275, 253)(224, 251, 263, 280, 268, 257, 270, 258)(245, 269, 254, 265, 256, 274, 252, 267)(248, 266, 278, 286, 279, 271, 260, 272)(276, 284, 287, 282, 288, 281, 277, 285)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 61)(35, 64)(37, 67)(38, 68)(40, 71)(41, 72)(42, 69)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 82)(54, 85)(56, 88)(58, 90)(59, 91)(60, 94)(62, 96)(63, 97)(65, 100)(66, 98)(70, 104)(76, 110)(77, 112)(80, 116)(81, 117)(83, 120)(84, 121)(86, 124)(87, 122)(89, 125)(92, 128)(93, 129)(95, 133)(99, 138)(101, 140)(102, 134)(103, 142)(105, 144)(106, 130)(107, 145)(108, 147)(109, 148)(111, 151)(113, 154)(114, 152)(115, 155)(118, 158)(119, 160)(123, 164)(126, 167)(127, 169)(131, 173)(132, 175)(135, 176)(136, 178)(137, 179)(139, 181)(141, 183)(143, 186)(146, 188)(149, 191)(150, 193)(153, 196)(156, 199)(157, 200)(159, 203)(161, 204)(162, 206)(163, 207)(165, 209)(166, 210)(168, 212)(170, 215)(171, 213)(172, 216)(174, 218)(177, 221)(180, 224)(182, 225)(184, 226)(185, 227)(187, 229)(189, 230)(190, 231)(192, 232)(194, 233)(195, 235)(197, 237)(198, 238)(201, 242)(202, 240)(205, 245)(208, 248)(211, 249)(214, 251)(217, 252)(219, 253)(220, 254)(222, 256)(223, 257)(228, 260)(234, 263)(236, 264)(239, 265)(241, 266)(243, 267)(244, 268)(246, 270)(247, 271)(250, 273)(255, 276)(258, 277)(259, 275)(261, 278)(262, 279)(269, 281)(272, 282)(274, 284)(280, 287)(283, 288)(285, 286)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2361
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.2361 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = (C4 x ((C3 x C3) : C4)) : C2 (small group id <288, 433>)
Aut   = $<576, 5357>$ (small group id <576, 5357>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1 * T2 * T1^-2 * T2 * T1)^2, (T1^-1 * T2)^8, T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 93, 70)(43, 71, 115, 72)(45, 74, 119, 75)(46, 76, 89, 77)(47, 78, 124, 79)(52, 86, 131, 87)(60, 98, 85, 99)(61, 100, 146, 101)(63, 103, 150, 104)(64, 105, 81, 106)(66, 108, 157, 109)(67, 110, 143, 97)(68, 111, 160, 112)(73, 118, 141, 95)(82, 127, 174, 128)(84, 129, 176, 130)(90, 135, 181, 136)(92, 138, 185, 139)(96, 142, 180, 134)(102, 149, 178, 132)(107, 155, 199, 156)(113, 144, 123, 154)(114, 162, 209, 163)(116, 165, 211, 166)(117, 167, 120, 145)(121, 170, 194, 147)(122, 148, 195, 151)(125, 137, 184, 172)(126, 133, 179, 173)(140, 188, 235, 189)(152, 198, 230, 182)(153, 183, 231, 186)(158, 203, 233, 204)(159, 205, 229, 206)(161, 208, 249, 202)(164, 210, 227, 200)(168, 192, 242, 214)(169, 201, 226, 215)(171, 217, 245, 218)(175, 187, 234, 222)(177, 224, 213, 225)(190, 238, 223, 239)(191, 240, 221, 241)(193, 243, 207, 236)(196, 228, 261, 246)(197, 237, 219, 247)(212, 255, 274, 250)(216, 251, 270, 258)(220, 259, 263, 232)(244, 269, 252, 265)(248, 266, 281, 272)(253, 273, 282, 264)(254, 268, 256, 275)(257, 262, 280, 267)(260, 278, 279, 271)(276, 283, 287, 286)(277, 284, 288, 285)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 81)(49, 82)(50, 84)(51, 85)(53, 89)(54, 90)(55, 92)(56, 93)(57, 95)(58, 96)(59, 97)(62, 102)(65, 107)(69, 113)(70, 114)(71, 116)(72, 117)(74, 120)(75, 121)(76, 122)(77, 123)(78, 125)(79, 111)(80, 126)(83, 108)(86, 132)(87, 133)(88, 134)(91, 137)(94, 140)(98, 144)(99, 145)(100, 147)(101, 148)(103, 151)(104, 152)(105, 153)(106, 154)(109, 158)(110, 159)(112, 161)(115, 164)(118, 168)(119, 169)(124, 171)(127, 175)(128, 162)(129, 163)(130, 165)(131, 177)(135, 182)(136, 183)(138, 186)(139, 187)(141, 190)(142, 191)(143, 192)(146, 193)(149, 196)(150, 197)(155, 200)(156, 201)(157, 202)(160, 207)(166, 212)(167, 213)(170, 216)(172, 219)(173, 220)(174, 221)(176, 223)(178, 226)(179, 227)(180, 228)(181, 229)(184, 232)(185, 233)(188, 236)(189, 237)(194, 244)(195, 245)(198, 248)(199, 231)(203, 250)(204, 225)(205, 224)(206, 251)(208, 252)(209, 235)(210, 253)(211, 254)(214, 256)(215, 257)(217, 240)(218, 239)(222, 260)(230, 262)(234, 264)(238, 265)(241, 266)(242, 267)(243, 268)(246, 270)(247, 271)(249, 273)(255, 276)(258, 277)(259, 274)(261, 279)(263, 281)(269, 283)(272, 284)(275, 285)(278, 286)(280, 287)(282, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2360
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.2362 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = (C4 x ((C3 x C3) : C4)) : C2 (small group id <288, 433>)
Aut   = $<576, 5357>$ (small group id <576, 5357>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2, T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-1 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 71, 43)(28, 47, 79, 48)(30, 50, 84, 51)(31, 52, 87, 53)(33, 55, 92, 56)(36, 60, 100, 61)(38, 63, 105, 64)(41, 68, 111, 69)(44, 73, 118, 74)(46, 76, 123, 77)(49, 81, 128, 82)(54, 89, 135, 90)(57, 94, 142, 95)(59, 97, 147, 98)(62, 102, 152, 103)(65, 107, 85, 108)(67, 109, 155, 110)(70, 113, 159, 114)(72, 116, 78, 117)(75, 120, 166, 121)(80, 125, 173, 126)(83, 129, 176, 130)(86, 131, 106, 132)(88, 133, 177, 134)(91, 137, 181, 138)(93, 140, 99, 141)(96, 144, 188, 145)(101, 149, 195, 150)(104, 153, 198, 154)(112, 157, 203, 158)(115, 161, 208, 162)(119, 164, 211, 165)(122, 168, 214, 169)(124, 167, 213, 171)(127, 170, 216, 174)(136, 179, 228, 180)(139, 183, 233, 184)(143, 186, 236, 187)(146, 190, 239, 191)(148, 189, 238, 193)(151, 192, 241, 196)(156, 200, 224, 201)(160, 205, 255, 206)(163, 209, 237, 210)(172, 215, 257, 218)(175, 221, 248, 222)(178, 225, 199, 226)(182, 230, 267, 231)(185, 234, 212, 235)(194, 240, 269, 243)(197, 246, 223, 247)(202, 250, 219, 251)(204, 249, 220, 253)(207, 252, 274, 256)(217, 259, 277, 258)(227, 262, 244, 263)(229, 261, 245, 265)(232, 264, 280, 268)(242, 271, 283, 270)(254, 273, 285, 276)(260, 278, 286, 275)(266, 279, 287, 282)(272, 284, 288, 281)(289, 290)(291, 295)(292, 297)(293, 298)(294, 300)(296, 303)(299, 308)(301, 311)(302, 313)(304, 316)(305, 318)(306, 319)(307, 321)(309, 324)(310, 326)(312, 329)(314, 332)(315, 334)(317, 337)(320, 342)(322, 345)(323, 347)(325, 350)(327, 353)(328, 355)(330, 358)(331, 360)(333, 363)(335, 366)(336, 368)(338, 371)(339, 373)(340, 374)(341, 376)(343, 379)(344, 381)(346, 384)(348, 387)(349, 389)(351, 392)(352, 394)(354, 386)(356, 391)(357, 400)(359, 403)(361, 393)(362, 407)(364, 410)(365, 375)(367, 412)(369, 415)(370, 377)(372, 382)(378, 424)(380, 427)(383, 431)(385, 434)(388, 436)(390, 439)(395, 419)(396, 429)(397, 438)(398, 441)(399, 444)(401, 442)(402, 448)(404, 451)(405, 420)(406, 446)(408, 450)(409, 455)(411, 458)(413, 460)(414, 421)(416, 463)(417, 422)(418, 425)(423, 466)(426, 470)(428, 473)(430, 468)(432, 472)(433, 477)(435, 480)(437, 482)(440, 485)(443, 487)(445, 490)(447, 492)(449, 495)(452, 494)(453, 497)(454, 500)(456, 498)(457, 503)(459, 505)(461, 507)(462, 508)(464, 511)(465, 512)(467, 515)(469, 517)(471, 520)(474, 519)(475, 522)(476, 525)(478, 523)(479, 528)(481, 530)(483, 532)(484, 533)(486, 536)(488, 513)(489, 537)(491, 540)(493, 542)(496, 526)(499, 527)(501, 521)(502, 524)(504, 546)(506, 548)(509, 538)(510, 535)(514, 549)(516, 552)(518, 554)(529, 558)(531, 560)(534, 550)(539, 561)(541, 563)(543, 559)(544, 557)(545, 556)(547, 555)(551, 567)(553, 569)(562, 574)(564, 572)(565, 573)(566, 570)(568, 576)(571, 575)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2366
Transitivity :: ET+
Graph:: simple bipartite
	v = 216 e = 288 f = 36
	degree seq :: [ 2^144, 4^72 ]

E19.2363 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = (C4 x ((C3 x C3) : C4)) : C2 (small group id <288, 433>)
Aut   = $<576, 5357>$ (small group id <576, 5357>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1^-1 * T2^-1)^2, (F * T1)^2, T1^4, (T2^2 * T1^-1 * T2)^2, T2^8, T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 32, 14, 5)(2, 7, 17, 38, 75, 44, 20, 8)(4, 12, 27, 57, 89, 48, 22, 9)(6, 15, 33, 65, 109, 71, 36, 16)(11, 26, 54, 31, 63, 93, 50, 23)(13, 29, 60, 94, 51, 25, 53, 30)(18, 40, 77, 43, 82, 120, 73, 37)(19, 41, 79, 121, 74, 39, 76, 42)(21, 45, 83, 130, 101, 58, 86, 46)(28, 59, 88, 47, 87, 136, 100, 56)(34, 67, 111, 70, 116, 158, 107, 64)(35, 68, 113, 159, 108, 66, 110, 69)(49, 90, 138, 103, 61, 97, 141, 91)(55, 98, 143, 92, 142, 180, 147, 96)(62, 95, 145, 198, 144, 104, 153, 105)(72, 117, 167, 126, 80, 124, 170, 118)(78, 125, 172, 119, 171, 216, 176, 123)(81, 122, 174, 148, 173, 127, 179, 128)(84, 132, 185, 135, 99, 149, 182, 129)(85, 133, 187, 213, 183, 131, 184, 134)(102, 151, 199, 150, 190, 154, 191, 137)(106, 155, 203, 164, 114, 162, 206, 156)(112, 163, 208, 157, 207, 189, 212, 161)(115, 160, 210, 177, 209, 165, 215, 166)(139, 194, 235, 197, 146, 200, 233, 192)(140, 195, 236, 202, 152, 193, 234, 196)(168, 219, 250, 222, 175, 223, 248, 217)(169, 220, 251, 224, 178, 218, 249, 221)(181, 225, 253, 231, 188, 229, 255, 226)(186, 230, 256, 227, 201, 238, 258, 228)(204, 241, 266, 244, 211, 245, 264, 239)(205, 242, 267, 246, 214, 240, 265, 243)(232, 259, 277, 262, 237, 261, 278, 260)(247, 269, 283, 272, 252, 271, 284, 270)(254, 274, 286, 275, 257, 276, 285, 273)(263, 279, 287, 282, 268, 281, 288, 280)(289, 290, 294, 292)(291, 297, 309, 299)(293, 301, 306, 295)(296, 307, 322, 303)(298, 311, 337, 313)(300, 304, 323, 316)(302, 319, 349, 317)(305, 325, 360, 327)(308, 331, 368, 329)(310, 335, 372, 333)(312, 339, 370, 332)(314, 334, 373, 343)(315, 344, 387, 346)(318, 350, 366, 328)(320, 345, 389, 351)(321, 352, 394, 354)(324, 358, 402, 356)(326, 362, 404, 359)(330, 369, 400, 355)(336, 353, 396, 375)(338, 380, 427, 378)(340, 363, 397, 377)(341, 379, 428, 383)(342, 384, 434, 385)(347, 357, 403, 390)(348, 391, 440, 392)(361, 407, 456, 405)(364, 406, 457, 410)(365, 411, 463, 412)(367, 414, 466, 415)(371, 417, 469, 419)(374, 423, 476, 421)(376, 425, 474, 420)(381, 418, 471, 430)(382, 432, 459, 408)(386, 422, 477, 436)(388, 438, 489, 437)(393, 442, 465, 413)(395, 445, 492, 443)(398, 444, 493, 448)(399, 449, 499, 450)(401, 452, 502, 453)(409, 461, 495, 446)(416, 468, 501, 451)(424, 447, 497, 478)(426, 480, 520, 481)(429, 485, 525, 483)(431, 462, 509, 482)(433, 484, 526, 487)(435, 467, 512, 488)(439, 454, 504, 486)(441, 490, 518, 479)(455, 505, 535, 506)(458, 510, 540, 508)(460, 498, 531, 507)(464, 503, 534, 511)(470, 515, 542, 513)(472, 514, 533, 500)(473, 516, 545, 517)(475, 519, 529, 496)(491, 527, 551, 528)(494, 532, 556, 530)(521, 539, 560, 547)(522, 548, 564, 546)(523, 537, 558, 549)(524, 550, 562, 544)(536, 555, 570, 557)(538, 553, 568, 559)(541, 561, 569, 554)(543, 563, 567, 552)(565, 571, 575, 574)(566, 572, 576, 573)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2367
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2364 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = (C4 x ((C3 x C3) : C4)) : C2 (small group id <288, 433>)
Aut   = $<576, 5357>$ (small group id <576, 5357>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-1)^4, (T1^-1 * T2 * T1^-3)^2, T1^2 * T2 * T1^-4 * T2 * T1^2, T1^3 * T2 * T1^-4 * T2 * T1, T2 * T1^2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2, T2 * T1 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1 * T2 * T1^-2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 61)(35, 64)(37, 67)(38, 68)(40, 71)(41, 72)(42, 69)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 82)(54, 85)(56, 88)(58, 90)(59, 91)(60, 94)(62, 96)(63, 97)(65, 100)(66, 98)(70, 104)(76, 110)(77, 112)(80, 116)(81, 117)(83, 120)(84, 121)(86, 124)(87, 122)(89, 125)(92, 128)(93, 129)(95, 133)(99, 138)(101, 140)(102, 134)(103, 142)(105, 144)(106, 130)(107, 145)(108, 147)(109, 148)(111, 151)(113, 154)(114, 152)(115, 155)(118, 158)(119, 160)(123, 164)(126, 167)(127, 169)(131, 173)(132, 175)(135, 176)(136, 178)(137, 179)(139, 181)(141, 183)(143, 186)(146, 188)(149, 191)(150, 193)(153, 196)(156, 199)(157, 200)(159, 203)(161, 204)(162, 206)(163, 207)(165, 209)(166, 210)(168, 212)(170, 215)(171, 213)(172, 216)(174, 218)(177, 221)(180, 224)(182, 225)(184, 226)(185, 227)(187, 229)(189, 230)(190, 231)(192, 232)(194, 233)(195, 235)(197, 237)(198, 238)(201, 242)(202, 240)(205, 245)(208, 248)(211, 249)(214, 251)(217, 252)(219, 253)(220, 254)(222, 256)(223, 257)(228, 260)(234, 263)(236, 264)(239, 265)(241, 266)(243, 267)(244, 268)(246, 270)(247, 271)(250, 273)(255, 276)(258, 277)(259, 275)(261, 278)(262, 279)(269, 281)(272, 282)(274, 284)(280, 287)(283, 288)(285, 286)(289, 290, 293, 299, 311, 310, 298, 292)(291, 295, 303, 319, 332, 325, 306, 296)(294, 301, 315, 339, 331, 344, 318, 302)(297, 307, 326, 334, 312, 333, 328, 308)(300, 313, 335, 330, 309, 329, 338, 314)(304, 321, 348, 381, 355, 362, 350, 322)(305, 323, 351, 376, 345, 371, 341, 316)(317, 342, 372, 360, 367, 399, 364, 336)(320, 346, 377, 354, 324, 353, 380, 347)(327, 357, 391, 395, 361, 337, 365, 358)(340, 368, 403, 375, 343, 374, 406, 369)(349, 383, 420, 388, 417, 456, 414, 378)(352, 386, 425, 449, 408, 379, 415, 387)(356, 389, 427, 394, 359, 393, 429, 390)(363, 396, 434, 402, 366, 401, 437, 397)(370, 407, 447, 412, 385, 424, 444, 404)(373, 410, 451, 482, 439, 405, 445, 411)(382, 418, 460, 423, 384, 422, 462, 419)(392, 431, 473, 432, 433, 475, 470, 428)(398, 438, 480, 442, 409, 450, 477, 435)(400, 440, 483, 472, 430, 436, 478, 441)(413, 453, 476, 459, 416, 458, 479, 454)(421, 464, 508, 538, 500, 461, 505, 465)(426, 468, 493, 448, 492, 532, 510, 466)(443, 485, 471, 490, 446, 489, 469, 486)(452, 496, 522, 481, 521, 550, 534, 494)(455, 499, 519, 503, 463, 507, 523, 497)(457, 501, 518, 511, 467, 498, 520, 502)(474, 484, 524, 549, 517, 514, 547, 516)(487, 527, 504, 530, 491, 531, 506, 525)(488, 528, 515, 535, 495, 526, 513, 529)(509, 543, 552, 537, 561, 571, 563, 541)(512, 539, 551, 568, 556, 545, 558, 546)(533, 557, 542, 553, 544, 562, 540, 555)(536, 554, 566, 574, 567, 559, 548, 560)(564, 572, 575, 570, 576, 569, 565, 573)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E19.2365
Transitivity :: ET+
Graph:: simple bipartite
	v = 180 e = 288 f = 72
	degree seq :: [ 2^144, 8^36 ]

E19.2365 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = (C4 x ((C3 x C3) : C4)) : C2 (small group id <288, 433>)
Aut   = $<576, 5357>$ (small group id <576, 5357>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2, T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-1 ]
Map::
	R = (1, 289, 3, 291, 8, 296, 4, 292)(2, 290, 5, 293, 11, 299, 6, 294)(7, 295, 13, 301, 24, 312, 14, 302)(9, 297, 16, 304, 29, 317, 17, 305)(10, 298, 18, 306, 32, 320, 19, 307)(12, 300, 21, 309, 37, 325, 22, 310)(15, 303, 26, 314, 45, 333, 27, 315)(20, 308, 34, 322, 58, 346, 35, 323)(23, 311, 39, 327, 66, 354, 40, 328)(25, 313, 42, 330, 71, 359, 43, 331)(28, 316, 47, 335, 79, 367, 48, 336)(30, 318, 50, 338, 84, 372, 51, 339)(31, 319, 52, 340, 87, 375, 53, 341)(33, 321, 55, 343, 92, 380, 56, 344)(36, 324, 60, 348, 100, 388, 61, 349)(38, 326, 63, 351, 105, 393, 64, 352)(41, 329, 68, 356, 111, 399, 69, 357)(44, 332, 73, 361, 118, 406, 74, 362)(46, 334, 76, 364, 123, 411, 77, 365)(49, 337, 81, 369, 128, 416, 82, 370)(54, 342, 89, 377, 135, 423, 90, 378)(57, 345, 94, 382, 142, 430, 95, 383)(59, 347, 97, 385, 147, 435, 98, 386)(62, 350, 102, 390, 152, 440, 103, 391)(65, 353, 107, 395, 85, 373, 108, 396)(67, 355, 109, 397, 155, 443, 110, 398)(70, 358, 113, 401, 159, 447, 114, 402)(72, 360, 116, 404, 78, 366, 117, 405)(75, 363, 120, 408, 166, 454, 121, 409)(80, 368, 125, 413, 173, 461, 126, 414)(83, 371, 129, 417, 176, 464, 130, 418)(86, 374, 131, 419, 106, 394, 132, 420)(88, 376, 133, 421, 177, 465, 134, 422)(91, 379, 137, 425, 181, 469, 138, 426)(93, 381, 140, 428, 99, 387, 141, 429)(96, 384, 144, 432, 188, 476, 145, 433)(101, 389, 149, 437, 195, 483, 150, 438)(104, 392, 153, 441, 198, 486, 154, 442)(112, 400, 157, 445, 203, 491, 158, 446)(115, 403, 161, 449, 208, 496, 162, 450)(119, 407, 164, 452, 211, 499, 165, 453)(122, 410, 168, 456, 214, 502, 169, 457)(124, 412, 167, 455, 213, 501, 171, 459)(127, 415, 170, 458, 216, 504, 174, 462)(136, 424, 179, 467, 228, 516, 180, 468)(139, 427, 183, 471, 233, 521, 184, 472)(143, 431, 186, 474, 236, 524, 187, 475)(146, 434, 190, 478, 239, 527, 191, 479)(148, 436, 189, 477, 238, 526, 193, 481)(151, 439, 192, 480, 241, 529, 196, 484)(156, 444, 200, 488, 224, 512, 201, 489)(160, 448, 205, 493, 255, 543, 206, 494)(163, 451, 209, 497, 237, 525, 210, 498)(172, 460, 215, 503, 257, 545, 218, 506)(175, 463, 221, 509, 248, 536, 222, 510)(178, 466, 225, 513, 199, 487, 226, 514)(182, 470, 230, 518, 267, 555, 231, 519)(185, 473, 234, 522, 212, 500, 235, 523)(194, 482, 240, 528, 269, 557, 243, 531)(197, 485, 246, 534, 223, 511, 247, 535)(202, 490, 250, 538, 219, 507, 251, 539)(204, 492, 249, 537, 220, 508, 253, 541)(207, 495, 252, 540, 274, 562, 256, 544)(217, 505, 259, 547, 277, 565, 258, 546)(227, 515, 262, 550, 244, 532, 263, 551)(229, 517, 261, 549, 245, 533, 265, 553)(232, 520, 264, 552, 280, 568, 268, 556)(242, 530, 271, 559, 283, 571, 270, 558)(254, 542, 273, 561, 285, 573, 276, 564)(260, 548, 278, 566, 286, 574, 275, 563)(266, 554, 279, 567, 287, 575, 282, 570)(272, 560, 284, 572, 288, 576, 281, 569)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 298)(6, 300)(7, 291)(8, 303)(9, 292)(10, 293)(11, 308)(12, 294)(13, 311)(14, 313)(15, 296)(16, 316)(17, 318)(18, 319)(19, 321)(20, 299)(21, 324)(22, 326)(23, 301)(24, 329)(25, 302)(26, 332)(27, 334)(28, 304)(29, 337)(30, 305)(31, 306)(32, 342)(33, 307)(34, 345)(35, 347)(36, 309)(37, 350)(38, 310)(39, 353)(40, 355)(41, 312)(42, 358)(43, 360)(44, 314)(45, 363)(46, 315)(47, 366)(48, 368)(49, 317)(50, 371)(51, 373)(52, 374)(53, 376)(54, 320)(55, 379)(56, 381)(57, 322)(58, 384)(59, 323)(60, 387)(61, 389)(62, 325)(63, 392)(64, 394)(65, 327)(66, 386)(67, 328)(68, 391)(69, 400)(70, 330)(71, 403)(72, 331)(73, 393)(74, 407)(75, 333)(76, 410)(77, 375)(78, 335)(79, 412)(80, 336)(81, 415)(82, 377)(83, 338)(84, 382)(85, 339)(86, 340)(87, 365)(88, 341)(89, 370)(90, 424)(91, 343)(92, 427)(93, 344)(94, 372)(95, 431)(96, 346)(97, 434)(98, 354)(99, 348)(100, 436)(101, 349)(102, 439)(103, 356)(104, 351)(105, 361)(106, 352)(107, 419)(108, 429)(109, 438)(110, 441)(111, 444)(112, 357)(113, 442)(114, 448)(115, 359)(116, 451)(117, 420)(118, 446)(119, 362)(120, 450)(121, 455)(122, 364)(123, 458)(124, 367)(125, 460)(126, 421)(127, 369)(128, 463)(129, 422)(130, 425)(131, 395)(132, 405)(133, 414)(134, 417)(135, 466)(136, 378)(137, 418)(138, 470)(139, 380)(140, 473)(141, 396)(142, 468)(143, 383)(144, 472)(145, 477)(146, 385)(147, 480)(148, 388)(149, 482)(150, 397)(151, 390)(152, 485)(153, 398)(154, 401)(155, 487)(156, 399)(157, 490)(158, 406)(159, 492)(160, 402)(161, 495)(162, 408)(163, 404)(164, 494)(165, 497)(166, 500)(167, 409)(168, 498)(169, 503)(170, 411)(171, 505)(172, 413)(173, 507)(174, 508)(175, 416)(176, 511)(177, 512)(178, 423)(179, 515)(180, 430)(181, 517)(182, 426)(183, 520)(184, 432)(185, 428)(186, 519)(187, 522)(188, 525)(189, 433)(190, 523)(191, 528)(192, 435)(193, 530)(194, 437)(195, 532)(196, 533)(197, 440)(198, 536)(199, 443)(200, 513)(201, 537)(202, 445)(203, 540)(204, 447)(205, 542)(206, 452)(207, 449)(208, 526)(209, 453)(210, 456)(211, 527)(212, 454)(213, 521)(214, 524)(215, 457)(216, 546)(217, 459)(218, 548)(219, 461)(220, 462)(221, 538)(222, 535)(223, 464)(224, 465)(225, 488)(226, 549)(227, 467)(228, 552)(229, 469)(230, 554)(231, 474)(232, 471)(233, 501)(234, 475)(235, 478)(236, 502)(237, 476)(238, 496)(239, 499)(240, 479)(241, 558)(242, 481)(243, 560)(244, 483)(245, 484)(246, 550)(247, 510)(248, 486)(249, 489)(250, 509)(251, 561)(252, 491)(253, 563)(254, 493)(255, 559)(256, 557)(257, 556)(258, 504)(259, 555)(260, 506)(261, 514)(262, 534)(263, 567)(264, 516)(265, 569)(266, 518)(267, 547)(268, 545)(269, 544)(270, 529)(271, 543)(272, 531)(273, 539)(274, 574)(275, 541)(276, 572)(277, 573)(278, 570)(279, 551)(280, 576)(281, 553)(282, 566)(283, 575)(284, 564)(285, 565)(286, 562)(287, 571)(288, 568)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2364
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 72 e = 288 f = 180
	degree seq :: [ 8^72 ]

E19.2366 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = (C4 x ((C3 x C3) : C4)) : C2 (small group id <288, 433>)
Aut   = $<576, 5357>$ (small group id <576, 5357>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1^-1 * T2^-1)^2, (F * T1)^2, T1^4, (T2^2 * T1^-1 * T2)^2, T2^8, T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map::
	R = (1, 289, 3, 291, 10, 298, 24, 312, 52, 340, 32, 320, 14, 302, 5, 293)(2, 290, 7, 295, 17, 305, 38, 326, 75, 363, 44, 332, 20, 308, 8, 296)(4, 292, 12, 300, 27, 315, 57, 345, 89, 377, 48, 336, 22, 310, 9, 297)(6, 294, 15, 303, 33, 321, 65, 353, 109, 397, 71, 359, 36, 324, 16, 304)(11, 299, 26, 314, 54, 342, 31, 319, 63, 351, 93, 381, 50, 338, 23, 311)(13, 301, 29, 317, 60, 348, 94, 382, 51, 339, 25, 313, 53, 341, 30, 318)(18, 306, 40, 328, 77, 365, 43, 331, 82, 370, 120, 408, 73, 361, 37, 325)(19, 307, 41, 329, 79, 367, 121, 409, 74, 362, 39, 327, 76, 364, 42, 330)(21, 309, 45, 333, 83, 371, 130, 418, 101, 389, 58, 346, 86, 374, 46, 334)(28, 316, 59, 347, 88, 376, 47, 335, 87, 375, 136, 424, 100, 388, 56, 344)(34, 322, 67, 355, 111, 399, 70, 358, 116, 404, 158, 446, 107, 395, 64, 352)(35, 323, 68, 356, 113, 401, 159, 447, 108, 396, 66, 354, 110, 398, 69, 357)(49, 337, 90, 378, 138, 426, 103, 391, 61, 349, 97, 385, 141, 429, 91, 379)(55, 343, 98, 386, 143, 431, 92, 380, 142, 430, 180, 468, 147, 435, 96, 384)(62, 350, 95, 383, 145, 433, 198, 486, 144, 432, 104, 392, 153, 441, 105, 393)(72, 360, 117, 405, 167, 455, 126, 414, 80, 368, 124, 412, 170, 458, 118, 406)(78, 366, 125, 413, 172, 460, 119, 407, 171, 459, 216, 504, 176, 464, 123, 411)(81, 369, 122, 410, 174, 462, 148, 436, 173, 461, 127, 415, 179, 467, 128, 416)(84, 372, 132, 420, 185, 473, 135, 423, 99, 387, 149, 437, 182, 470, 129, 417)(85, 373, 133, 421, 187, 475, 213, 501, 183, 471, 131, 419, 184, 472, 134, 422)(102, 390, 151, 439, 199, 487, 150, 438, 190, 478, 154, 442, 191, 479, 137, 425)(106, 394, 155, 443, 203, 491, 164, 452, 114, 402, 162, 450, 206, 494, 156, 444)(112, 400, 163, 451, 208, 496, 157, 445, 207, 495, 189, 477, 212, 500, 161, 449)(115, 403, 160, 448, 210, 498, 177, 465, 209, 497, 165, 453, 215, 503, 166, 454)(139, 427, 194, 482, 235, 523, 197, 485, 146, 434, 200, 488, 233, 521, 192, 480)(140, 428, 195, 483, 236, 524, 202, 490, 152, 440, 193, 481, 234, 522, 196, 484)(168, 456, 219, 507, 250, 538, 222, 510, 175, 463, 223, 511, 248, 536, 217, 505)(169, 457, 220, 508, 251, 539, 224, 512, 178, 466, 218, 506, 249, 537, 221, 509)(181, 469, 225, 513, 253, 541, 231, 519, 188, 476, 229, 517, 255, 543, 226, 514)(186, 474, 230, 518, 256, 544, 227, 515, 201, 489, 238, 526, 258, 546, 228, 516)(204, 492, 241, 529, 266, 554, 244, 532, 211, 499, 245, 533, 264, 552, 239, 527)(205, 493, 242, 530, 267, 555, 246, 534, 214, 502, 240, 528, 265, 553, 243, 531)(232, 520, 259, 547, 277, 565, 262, 550, 237, 525, 261, 549, 278, 566, 260, 548)(247, 535, 269, 557, 283, 571, 272, 560, 252, 540, 271, 559, 284, 572, 270, 558)(254, 542, 274, 562, 286, 574, 275, 563, 257, 545, 276, 564, 285, 573, 273, 561)(263, 551, 279, 567, 287, 575, 282, 570, 268, 556, 281, 569, 288, 576, 280, 568)
	L = (1, 290)(2, 294)(3, 297)(4, 289)(5, 301)(6, 292)(7, 293)(8, 307)(9, 309)(10, 311)(11, 291)(12, 304)(13, 306)(14, 319)(15, 296)(16, 323)(17, 325)(18, 295)(19, 322)(20, 331)(21, 299)(22, 335)(23, 337)(24, 339)(25, 298)(26, 334)(27, 344)(28, 300)(29, 302)(30, 350)(31, 349)(32, 345)(33, 352)(34, 303)(35, 316)(36, 358)(37, 360)(38, 362)(39, 305)(40, 318)(41, 308)(42, 369)(43, 368)(44, 312)(45, 310)(46, 373)(47, 372)(48, 353)(49, 313)(50, 380)(51, 370)(52, 363)(53, 379)(54, 384)(55, 314)(56, 387)(57, 389)(58, 315)(59, 357)(60, 391)(61, 317)(62, 366)(63, 320)(64, 394)(65, 396)(66, 321)(67, 330)(68, 324)(69, 403)(70, 402)(71, 326)(72, 327)(73, 407)(74, 404)(75, 397)(76, 406)(77, 411)(78, 328)(79, 414)(80, 329)(81, 400)(82, 332)(83, 417)(84, 333)(85, 343)(86, 423)(87, 336)(88, 425)(89, 340)(90, 338)(91, 428)(92, 427)(93, 418)(94, 432)(95, 341)(96, 434)(97, 342)(98, 422)(99, 346)(100, 438)(101, 351)(102, 347)(103, 440)(104, 348)(105, 442)(106, 354)(107, 445)(108, 375)(109, 377)(110, 444)(111, 449)(112, 355)(113, 452)(114, 356)(115, 390)(116, 359)(117, 361)(118, 457)(119, 456)(120, 382)(121, 461)(122, 364)(123, 463)(124, 365)(125, 393)(126, 466)(127, 367)(128, 468)(129, 469)(130, 471)(131, 371)(132, 376)(133, 374)(134, 477)(135, 476)(136, 447)(137, 474)(138, 480)(139, 378)(140, 383)(141, 485)(142, 381)(143, 462)(144, 459)(145, 484)(146, 385)(147, 467)(148, 386)(149, 388)(150, 489)(151, 454)(152, 392)(153, 490)(154, 465)(155, 395)(156, 493)(157, 492)(158, 409)(159, 497)(160, 398)(161, 499)(162, 399)(163, 416)(164, 502)(165, 401)(166, 504)(167, 505)(168, 405)(169, 410)(170, 510)(171, 408)(172, 498)(173, 495)(174, 509)(175, 412)(176, 503)(177, 413)(178, 415)(179, 512)(180, 501)(181, 419)(182, 515)(183, 430)(184, 514)(185, 516)(186, 420)(187, 519)(188, 421)(189, 436)(190, 424)(191, 441)(192, 520)(193, 426)(194, 431)(195, 429)(196, 526)(197, 525)(198, 439)(199, 433)(200, 435)(201, 437)(202, 518)(203, 527)(204, 443)(205, 448)(206, 532)(207, 446)(208, 475)(209, 478)(210, 531)(211, 450)(212, 472)(213, 451)(214, 453)(215, 534)(216, 486)(217, 535)(218, 455)(219, 460)(220, 458)(221, 482)(222, 540)(223, 464)(224, 488)(225, 470)(226, 533)(227, 542)(228, 545)(229, 473)(230, 479)(231, 529)(232, 481)(233, 539)(234, 548)(235, 537)(236, 550)(237, 483)(238, 487)(239, 551)(240, 491)(241, 496)(242, 494)(243, 507)(244, 556)(245, 500)(246, 511)(247, 506)(248, 555)(249, 558)(250, 553)(251, 560)(252, 508)(253, 561)(254, 513)(255, 563)(256, 524)(257, 517)(258, 522)(259, 521)(260, 564)(261, 523)(262, 562)(263, 528)(264, 543)(265, 568)(266, 541)(267, 570)(268, 530)(269, 536)(270, 549)(271, 538)(272, 547)(273, 569)(274, 544)(275, 567)(276, 546)(277, 571)(278, 572)(279, 552)(280, 559)(281, 554)(282, 557)(283, 575)(284, 576)(285, 566)(286, 565)(287, 574)(288, 573)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2362
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 36 e = 288 f = 216
	degree seq :: [ 16^36 ]

E19.2367 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = (C4 x ((C3 x C3) : C4)) : C2 (small group id <288, 433>)
Aut   = $<576, 5357>$ (small group id <576, 5357>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-1)^4, (T1^-1 * T2 * T1^-3)^2, T1^2 * T2 * T1^-4 * T2 * T1^2, T1^3 * T2 * T1^-4 * T2 * T1, T2 * T1^2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2, T2 * T1 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 289, 3, 291)(2, 290, 6, 294)(4, 292, 9, 297)(5, 293, 12, 300)(7, 295, 16, 304)(8, 296, 17, 305)(10, 298, 21, 309)(11, 299, 24, 312)(13, 301, 28, 316)(14, 302, 29, 317)(15, 303, 32, 320)(18, 306, 36, 324)(19, 307, 39, 327)(20, 308, 33, 321)(22, 310, 43, 331)(23, 311, 44, 332)(25, 313, 48, 336)(26, 314, 49, 337)(27, 315, 52, 340)(30, 318, 55, 343)(31, 319, 57, 345)(34, 322, 61, 349)(35, 323, 64, 352)(37, 325, 67, 355)(38, 326, 68, 356)(40, 328, 71, 359)(41, 329, 72, 360)(42, 330, 69, 357)(45, 333, 73, 361)(46, 334, 74, 362)(47, 335, 75, 363)(50, 338, 78, 366)(51, 339, 79, 367)(53, 341, 82, 370)(54, 342, 85, 373)(56, 344, 88, 376)(58, 346, 90, 378)(59, 347, 91, 379)(60, 348, 94, 382)(62, 350, 96, 384)(63, 351, 97, 385)(65, 353, 100, 388)(66, 354, 98, 386)(70, 358, 104, 392)(76, 364, 110, 398)(77, 365, 112, 400)(80, 368, 116, 404)(81, 369, 117, 405)(83, 371, 120, 408)(84, 372, 121, 409)(86, 374, 124, 412)(87, 375, 122, 410)(89, 377, 125, 413)(92, 380, 128, 416)(93, 381, 129, 417)(95, 383, 133, 421)(99, 387, 138, 426)(101, 389, 140, 428)(102, 390, 134, 422)(103, 391, 142, 430)(105, 393, 144, 432)(106, 394, 130, 418)(107, 395, 145, 433)(108, 396, 147, 435)(109, 397, 148, 436)(111, 399, 151, 439)(113, 401, 154, 442)(114, 402, 152, 440)(115, 403, 155, 443)(118, 406, 158, 446)(119, 407, 160, 448)(123, 411, 164, 452)(126, 414, 167, 455)(127, 415, 169, 457)(131, 419, 173, 461)(132, 420, 175, 463)(135, 423, 176, 464)(136, 424, 178, 466)(137, 425, 179, 467)(139, 427, 181, 469)(141, 429, 183, 471)(143, 431, 186, 474)(146, 434, 188, 476)(149, 437, 191, 479)(150, 438, 193, 481)(153, 441, 196, 484)(156, 444, 199, 487)(157, 445, 200, 488)(159, 447, 203, 491)(161, 449, 204, 492)(162, 450, 206, 494)(163, 451, 207, 495)(165, 453, 209, 497)(166, 454, 210, 498)(168, 456, 212, 500)(170, 458, 215, 503)(171, 459, 213, 501)(172, 460, 216, 504)(174, 462, 218, 506)(177, 465, 221, 509)(180, 468, 224, 512)(182, 470, 225, 513)(184, 472, 226, 514)(185, 473, 227, 515)(187, 475, 229, 517)(189, 477, 230, 518)(190, 478, 231, 519)(192, 480, 232, 520)(194, 482, 233, 521)(195, 483, 235, 523)(197, 485, 237, 525)(198, 486, 238, 526)(201, 489, 242, 530)(202, 490, 240, 528)(205, 493, 245, 533)(208, 496, 248, 536)(211, 499, 249, 537)(214, 502, 251, 539)(217, 505, 252, 540)(219, 507, 253, 541)(220, 508, 254, 542)(222, 510, 256, 544)(223, 511, 257, 545)(228, 516, 260, 548)(234, 522, 263, 551)(236, 524, 264, 552)(239, 527, 265, 553)(241, 529, 266, 554)(243, 531, 267, 555)(244, 532, 268, 556)(246, 534, 270, 558)(247, 535, 271, 559)(250, 538, 273, 561)(255, 543, 276, 564)(258, 546, 277, 565)(259, 547, 275, 563)(261, 549, 278, 566)(262, 550, 279, 567)(269, 557, 281, 569)(272, 560, 282, 570)(274, 562, 284, 572)(280, 568, 287, 575)(283, 571, 288, 576)(285, 573, 286, 574)
	L = (1, 290)(2, 293)(3, 295)(4, 289)(5, 299)(6, 301)(7, 303)(8, 291)(9, 307)(10, 292)(11, 311)(12, 313)(13, 315)(14, 294)(15, 319)(16, 321)(17, 323)(18, 296)(19, 326)(20, 297)(21, 329)(22, 298)(23, 310)(24, 333)(25, 335)(26, 300)(27, 339)(28, 305)(29, 342)(30, 302)(31, 332)(32, 346)(33, 348)(34, 304)(35, 351)(36, 353)(37, 306)(38, 334)(39, 357)(40, 308)(41, 338)(42, 309)(43, 344)(44, 325)(45, 328)(46, 312)(47, 330)(48, 317)(49, 365)(50, 314)(51, 331)(52, 368)(53, 316)(54, 372)(55, 374)(56, 318)(57, 371)(58, 377)(59, 320)(60, 381)(61, 383)(62, 322)(63, 376)(64, 386)(65, 380)(66, 324)(67, 362)(68, 389)(69, 391)(70, 327)(71, 393)(72, 367)(73, 337)(74, 350)(75, 396)(76, 336)(77, 358)(78, 401)(79, 399)(80, 403)(81, 340)(82, 407)(83, 341)(84, 360)(85, 410)(86, 406)(87, 343)(88, 345)(89, 354)(90, 349)(91, 415)(92, 347)(93, 355)(94, 418)(95, 420)(96, 422)(97, 424)(98, 425)(99, 352)(100, 417)(101, 427)(102, 356)(103, 395)(104, 431)(105, 429)(106, 359)(107, 361)(108, 434)(109, 363)(110, 438)(111, 364)(112, 440)(113, 437)(114, 366)(115, 375)(116, 370)(117, 445)(118, 369)(119, 447)(120, 379)(121, 450)(122, 451)(123, 373)(124, 385)(125, 453)(126, 378)(127, 387)(128, 458)(129, 456)(130, 460)(131, 382)(132, 388)(133, 464)(134, 462)(135, 384)(136, 444)(137, 449)(138, 468)(139, 394)(140, 392)(141, 390)(142, 436)(143, 473)(144, 433)(145, 475)(146, 402)(147, 398)(148, 478)(149, 397)(150, 480)(151, 405)(152, 483)(153, 400)(154, 409)(155, 485)(156, 404)(157, 411)(158, 489)(159, 412)(160, 492)(161, 408)(162, 477)(163, 482)(164, 496)(165, 476)(166, 413)(167, 499)(168, 414)(169, 501)(170, 479)(171, 416)(172, 423)(173, 505)(174, 419)(175, 507)(176, 508)(177, 421)(178, 426)(179, 498)(180, 493)(181, 486)(182, 428)(183, 490)(184, 430)(185, 432)(186, 484)(187, 470)(188, 459)(189, 435)(190, 441)(191, 454)(192, 442)(193, 521)(194, 439)(195, 472)(196, 524)(197, 471)(198, 443)(199, 527)(200, 528)(201, 469)(202, 446)(203, 531)(204, 532)(205, 448)(206, 452)(207, 526)(208, 522)(209, 455)(210, 520)(211, 519)(212, 461)(213, 518)(214, 457)(215, 463)(216, 530)(217, 465)(218, 525)(219, 523)(220, 538)(221, 543)(222, 466)(223, 467)(224, 539)(225, 529)(226, 547)(227, 535)(228, 474)(229, 514)(230, 511)(231, 503)(232, 502)(233, 550)(234, 481)(235, 497)(236, 549)(237, 487)(238, 513)(239, 504)(240, 515)(241, 488)(242, 491)(243, 506)(244, 510)(245, 557)(246, 494)(247, 495)(248, 554)(249, 561)(250, 500)(251, 551)(252, 555)(253, 509)(254, 553)(255, 552)(256, 562)(257, 558)(258, 512)(259, 516)(260, 560)(261, 517)(262, 534)(263, 568)(264, 537)(265, 544)(266, 566)(267, 533)(268, 545)(269, 542)(270, 546)(271, 548)(272, 536)(273, 571)(274, 540)(275, 541)(276, 572)(277, 573)(278, 574)(279, 559)(280, 556)(281, 565)(282, 576)(283, 563)(284, 575)(285, 564)(286, 567)(287, 570)(288, 569)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2363
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2368 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x ((C3 x C3) : C4)) : C2 (small group id <288, 433>)
Aut   = $<576, 5357>$ (small group id <576, 5357>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2, (Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2, (Y3 * Y2^-1)^8, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 ]
Map::
	R = (1, 289, 2, 290)(3, 291, 7, 295)(4, 292, 9, 297)(5, 293, 10, 298)(6, 294, 12, 300)(8, 296, 15, 303)(11, 299, 20, 308)(13, 301, 23, 311)(14, 302, 25, 313)(16, 304, 28, 316)(17, 305, 30, 318)(18, 306, 31, 319)(19, 307, 33, 321)(21, 309, 36, 324)(22, 310, 38, 326)(24, 312, 41, 329)(26, 314, 44, 332)(27, 315, 46, 334)(29, 317, 49, 337)(32, 320, 54, 342)(34, 322, 57, 345)(35, 323, 59, 347)(37, 325, 62, 350)(39, 327, 65, 353)(40, 328, 67, 355)(42, 330, 70, 358)(43, 331, 72, 360)(45, 333, 75, 363)(47, 335, 78, 366)(48, 336, 80, 368)(50, 338, 83, 371)(51, 339, 85, 373)(52, 340, 86, 374)(53, 341, 88, 376)(55, 343, 91, 379)(56, 344, 93, 381)(58, 346, 96, 384)(60, 348, 99, 387)(61, 349, 101, 389)(63, 351, 104, 392)(64, 352, 106, 394)(66, 354, 98, 386)(68, 356, 103, 391)(69, 357, 112, 400)(71, 359, 115, 403)(73, 361, 105, 393)(74, 362, 119, 407)(76, 364, 122, 410)(77, 365, 87, 375)(79, 367, 124, 412)(81, 369, 127, 415)(82, 370, 89, 377)(84, 372, 94, 382)(90, 378, 136, 424)(92, 380, 139, 427)(95, 383, 143, 431)(97, 385, 146, 434)(100, 388, 148, 436)(102, 390, 151, 439)(107, 395, 131, 419)(108, 396, 141, 429)(109, 397, 150, 438)(110, 398, 153, 441)(111, 399, 156, 444)(113, 401, 154, 442)(114, 402, 160, 448)(116, 404, 163, 451)(117, 405, 132, 420)(118, 406, 158, 446)(120, 408, 162, 450)(121, 409, 167, 455)(123, 411, 170, 458)(125, 413, 172, 460)(126, 414, 133, 421)(128, 416, 175, 463)(129, 417, 134, 422)(130, 418, 137, 425)(135, 423, 178, 466)(138, 426, 182, 470)(140, 428, 185, 473)(142, 430, 180, 468)(144, 432, 184, 472)(145, 433, 189, 477)(147, 435, 192, 480)(149, 437, 194, 482)(152, 440, 197, 485)(155, 443, 199, 487)(157, 445, 202, 490)(159, 447, 204, 492)(161, 449, 207, 495)(164, 452, 206, 494)(165, 453, 209, 497)(166, 454, 212, 500)(168, 456, 210, 498)(169, 457, 215, 503)(171, 459, 217, 505)(173, 461, 219, 507)(174, 462, 220, 508)(176, 464, 223, 511)(177, 465, 224, 512)(179, 467, 227, 515)(181, 469, 229, 517)(183, 471, 232, 520)(186, 474, 231, 519)(187, 475, 234, 522)(188, 476, 237, 525)(190, 478, 235, 523)(191, 479, 240, 528)(193, 481, 242, 530)(195, 483, 244, 532)(196, 484, 245, 533)(198, 486, 248, 536)(200, 488, 225, 513)(201, 489, 249, 537)(203, 491, 252, 540)(205, 493, 254, 542)(208, 496, 238, 526)(211, 499, 239, 527)(213, 501, 233, 521)(214, 502, 236, 524)(216, 504, 258, 546)(218, 506, 260, 548)(221, 509, 250, 538)(222, 510, 247, 535)(226, 514, 261, 549)(228, 516, 264, 552)(230, 518, 266, 554)(241, 529, 270, 558)(243, 531, 272, 560)(246, 534, 262, 550)(251, 539, 273, 561)(253, 541, 275, 563)(255, 543, 271, 559)(256, 544, 269, 557)(257, 545, 268, 556)(259, 547, 267, 555)(263, 551, 279, 567)(265, 553, 281, 569)(274, 562, 286, 574)(276, 564, 284, 572)(277, 565, 285, 573)(278, 566, 282, 570)(280, 568, 288, 576)(283, 571, 287, 575)(577, 865, 579, 867, 584, 872, 580, 868)(578, 866, 581, 869, 587, 875, 582, 870)(583, 871, 589, 877, 600, 888, 590, 878)(585, 873, 592, 880, 605, 893, 593, 881)(586, 874, 594, 882, 608, 896, 595, 883)(588, 876, 597, 885, 613, 901, 598, 886)(591, 879, 602, 890, 621, 909, 603, 891)(596, 884, 610, 898, 634, 922, 611, 899)(599, 887, 615, 903, 642, 930, 616, 904)(601, 889, 618, 906, 647, 935, 619, 907)(604, 892, 623, 911, 655, 943, 624, 912)(606, 894, 626, 914, 660, 948, 627, 915)(607, 895, 628, 916, 663, 951, 629, 917)(609, 897, 631, 919, 668, 956, 632, 920)(612, 900, 636, 924, 676, 964, 637, 925)(614, 902, 639, 927, 681, 969, 640, 928)(617, 905, 644, 932, 687, 975, 645, 933)(620, 908, 649, 937, 694, 982, 650, 938)(622, 910, 652, 940, 699, 987, 653, 941)(625, 913, 657, 945, 704, 992, 658, 946)(630, 918, 665, 953, 711, 999, 666, 954)(633, 921, 670, 958, 718, 1006, 671, 959)(635, 923, 673, 961, 723, 1011, 674, 962)(638, 926, 678, 966, 728, 1016, 679, 967)(641, 929, 683, 971, 661, 949, 684, 972)(643, 931, 685, 973, 731, 1019, 686, 974)(646, 934, 689, 977, 735, 1023, 690, 978)(648, 936, 692, 980, 654, 942, 693, 981)(651, 939, 696, 984, 742, 1030, 697, 985)(656, 944, 701, 989, 749, 1037, 702, 990)(659, 947, 705, 993, 752, 1040, 706, 994)(662, 950, 707, 995, 682, 970, 708, 996)(664, 952, 709, 997, 753, 1041, 710, 998)(667, 955, 713, 1001, 757, 1045, 714, 1002)(669, 957, 716, 1004, 675, 963, 717, 1005)(672, 960, 720, 1008, 764, 1052, 721, 1009)(677, 965, 725, 1013, 771, 1059, 726, 1014)(680, 968, 729, 1017, 774, 1062, 730, 1018)(688, 976, 733, 1021, 779, 1067, 734, 1022)(691, 979, 737, 1025, 784, 1072, 738, 1026)(695, 983, 740, 1028, 787, 1075, 741, 1029)(698, 986, 744, 1032, 790, 1078, 745, 1033)(700, 988, 743, 1031, 789, 1077, 747, 1035)(703, 991, 746, 1034, 792, 1080, 750, 1038)(712, 1000, 755, 1043, 804, 1092, 756, 1044)(715, 1003, 759, 1047, 809, 1097, 760, 1048)(719, 1007, 762, 1050, 812, 1100, 763, 1051)(722, 1010, 766, 1054, 815, 1103, 767, 1055)(724, 1012, 765, 1053, 814, 1102, 769, 1057)(727, 1015, 768, 1056, 817, 1105, 772, 1060)(732, 1020, 776, 1064, 800, 1088, 777, 1065)(736, 1024, 781, 1069, 831, 1119, 782, 1070)(739, 1027, 785, 1073, 813, 1101, 786, 1074)(748, 1036, 791, 1079, 833, 1121, 794, 1082)(751, 1039, 797, 1085, 824, 1112, 798, 1086)(754, 1042, 801, 1089, 775, 1063, 802, 1090)(758, 1046, 806, 1094, 843, 1131, 807, 1095)(761, 1049, 810, 1098, 788, 1076, 811, 1099)(770, 1058, 816, 1104, 845, 1133, 819, 1107)(773, 1061, 822, 1110, 799, 1087, 823, 1111)(778, 1066, 826, 1114, 795, 1083, 827, 1115)(780, 1068, 825, 1113, 796, 1084, 829, 1117)(783, 1071, 828, 1116, 850, 1138, 832, 1120)(793, 1081, 835, 1123, 853, 1141, 834, 1122)(803, 1091, 838, 1126, 820, 1108, 839, 1127)(805, 1093, 837, 1125, 821, 1109, 841, 1129)(808, 1096, 840, 1128, 856, 1144, 844, 1132)(818, 1106, 847, 1135, 859, 1147, 846, 1134)(830, 1118, 849, 1137, 861, 1149, 852, 1140)(836, 1124, 854, 1142, 862, 1150, 851, 1139)(842, 1130, 855, 1143, 863, 1151, 858, 1146)(848, 1136, 860, 1148, 864, 1152, 857, 1145)
	L = (1, 578)(2, 577)(3, 583)(4, 585)(5, 586)(6, 588)(7, 579)(8, 591)(9, 580)(10, 581)(11, 596)(12, 582)(13, 599)(14, 601)(15, 584)(16, 604)(17, 606)(18, 607)(19, 609)(20, 587)(21, 612)(22, 614)(23, 589)(24, 617)(25, 590)(26, 620)(27, 622)(28, 592)(29, 625)(30, 593)(31, 594)(32, 630)(33, 595)(34, 633)(35, 635)(36, 597)(37, 638)(38, 598)(39, 641)(40, 643)(41, 600)(42, 646)(43, 648)(44, 602)(45, 651)(46, 603)(47, 654)(48, 656)(49, 605)(50, 659)(51, 661)(52, 662)(53, 664)(54, 608)(55, 667)(56, 669)(57, 610)(58, 672)(59, 611)(60, 675)(61, 677)(62, 613)(63, 680)(64, 682)(65, 615)(66, 674)(67, 616)(68, 679)(69, 688)(70, 618)(71, 691)(72, 619)(73, 681)(74, 695)(75, 621)(76, 698)(77, 663)(78, 623)(79, 700)(80, 624)(81, 703)(82, 665)(83, 626)(84, 670)(85, 627)(86, 628)(87, 653)(88, 629)(89, 658)(90, 712)(91, 631)(92, 715)(93, 632)(94, 660)(95, 719)(96, 634)(97, 722)(98, 642)(99, 636)(100, 724)(101, 637)(102, 727)(103, 644)(104, 639)(105, 649)(106, 640)(107, 707)(108, 717)(109, 726)(110, 729)(111, 732)(112, 645)(113, 730)(114, 736)(115, 647)(116, 739)(117, 708)(118, 734)(119, 650)(120, 738)(121, 743)(122, 652)(123, 746)(124, 655)(125, 748)(126, 709)(127, 657)(128, 751)(129, 710)(130, 713)(131, 683)(132, 693)(133, 702)(134, 705)(135, 754)(136, 666)(137, 706)(138, 758)(139, 668)(140, 761)(141, 684)(142, 756)(143, 671)(144, 760)(145, 765)(146, 673)(147, 768)(148, 676)(149, 770)(150, 685)(151, 678)(152, 773)(153, 686)(154, 689)(155, 775)(156, 687)(157, 778)(158, 694)(159, 780)(160, 690)(161, 783)(162, 696)(163, 692)(164, 782)(165, 785)(166, 788)(167, 697)(168, 786)(169, 791)(170, 699)(171, 793)(172, 701)(173, 795)(174, 796)(175, 704)(176, 799)(177, 800)(178, 711)(179, 803)(180, 718)(181, 805)(182, 714)(183, 808)(184, 720)(185, 716)(186, 807)(187, 810)(188, 813)(189, 721)(190, 811)(191, 816)(192, 723)(193, 818)(194, 725)(195, 820)(196, 821)(197, 728)(198, 824)(199, 731)(200, 801)(201, 825)(202, 733)(203, 828)(204, 735)(205, 830)(206, 740)(207, 737)(208, 814)(209, 741)(210, 744)(211, 815)(212, 742)(213, 809)(214, 812)(215, 745)(216, 834)(217, 747)(218, 836)(219, 749)(220, 750)(221, 826)(222, 823)(223, 752)(224, 753)(225, 776)(226, 837)(227, 755)(228, 840)(229, 757)(230, 842)(231, 762)(232, 759)(233, 789)(234, 763)(235, 766)(236, 790)(237, 764)(238, 784)(239, 787)(240, 767)(241, 846)(242, 769)(243, 848)(244, 771)(245, 772)(246, 838)(247, 798)(248, 774)(249, 777)(250, 797)(251, 849)(252, 779)(253, 851)(254, 781)(255, 847)(256, 845)(257, 844)(258, 792)(259, 843)(260, 794)(261, 802)(262, 822)(263, 855)(264, 804)(265, 857)(266, 806)(267, 835)(268, 833)(269, 832)(270, 817)(271, 831)(272, 819)(273, 827)(274, 862)(275, 829)(276, 860)(277, 861)(278, 858)(279, 839)(280, 864)(281, 841)(282, 854)(283, 863)(284, 852)(285, 853)(286, 850)(287, 859)(288, 856)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.2371
Graph:: bipartite
	v = 216 e = 576 f = 324
	degree seq :: [ 4^144, 8^72 ]

E19.2369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x ((C3 x C3) : C4)) : C2 (small group id <288, 433>)
Aut   = $<576, 5357>$ (small group id <576, 5357>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1 * Y2^-2)^2, Y2^8, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 289, 2, 290, 6, 294, 4, 292)(3, 291, 9, 297, 21, 309, 11, 299)(5, 293, 13, 301, 18, 306, 7, 295)(8, 296, 19, 307, 34, 322, 15, 303)(10, 298, 23, 311, 49, 337, 25, 313)(12, 300, 16, 304, 35, 323, 28, 316)(14, 302, 31, 319, 61, 349, 29, 317)(17, 305, 37, 325, 72, 360, 39, 327)(20, 308, 43, 331, 80, 368, 41, 329)(22, 310, 47, 335, 84, 372, 45, 333)(24, 312, 51, 339, 82, 370, 44, 332)(26, 314, 46, 334, 85, 373, 55, 343)(27, 315, 56, 344, 99, 387, 58, 346)(30, 318, 62, 350, 78, 366, 40, 328)(32, 320, 57, 345, 101, 389, 63, 351)(33, 321, 64, 352, 106, 394, 66, 354)(36, 324, 70, 358, 114, 402, 68, 356)(38, 326, 74, 362, 116, 404, 71, 359)(42, 330, 81, 369, 112, 400, 67, 355)(48, 336, 65, 353, 108, 396, 87, 375)(50, 338, 92, 380, 139, 427, 90, 378)(52, 340, 75, 363, 109, 397, 89, 377)(53, 341, 91, 379, 140, 428, 95, 383)(54, 342, 96, 384, 146, 434, 97, 385)(59, 347, 69, 357, 115, 403, 102, 390)(60, 348, 103, 391, 152, 440, 104, 392)(73, 361, 119, 407, 168, 456, 117, 405)(76, 364, 118, 406, 169, 457, 122, 410)(77, 365, 123, 411, 175, 463, 124, 412)(79, 367, 126, 414, 178, 466, 127, 415)(83, 371, 129, 417, 181, 469, 131, 419)(86, 374, 135, 423, 188, 476, 133, 421)(88, 376, 137, 425, 186, 474, 132, 420)(93, 381, 130, 418, 183, 471, 142, 430)(94, 382, 144, 432, 171, 459, 120, 408)(98, 386, 134, 422, 189, 477, 148, 436)(100, 388, 150, 438, 201, 489, 149, 437)(105, 393, 154, 442, 177, 465, 125, 413)(107, 395, 157, 445, 204, 492, 155, 443)(110, 398, 156, 444, 205, 493, 160, 448)(111, 399, 161, 449, 211, 499, 162, 450)(113, 401, 164, 452, 214, 502, 165, 453)(121, 409, 173, 461, 207, 495, 158, 446)(128, 416, 180, 468, 213, 501, 163, 451)(136, 424, 159, 447, 209, 497, 190, 478)(138, 426, 192, 480, 232, 520, 193, 481)(141, 429, 197, 485, 237, 525, 195, 483)(143, 431, 174, 462, 221, 509, 194, 482)(145, 433, 196, 484, 238, 526, 199, 487)(147, 435, 179, 467, 224, 512, 200, 488)(151, 439, 166, 454, 216, 504, 198, 486)(153, 441, 202, 490, 230, 518, 191, 479)(167, 455, 217, 505, 247, 535, 218, 506)(170, 458, 222, 510, 252, 540, 220, 508)(172, 460, 210, 498, 243, 531, 219, 507)(176, 464, 215, 503, 246, 534, 223, 511)(182, 470, 227, 515, 254, 542, 225, 513)(184, 472, 226, 514, 245, 533, 212, 500)(185, 473, 228, 516, 257, 545, 229, 517)(187, 475, 231, 519, 241, 529, 208, 496)(203, 491, 239, 527, 263, 551, 240, 528)(206, 494, 244, 532, 268, 556, 242, 530)(233, 521, 251, 539, 272, 560, 259, 547)(234, 522, 260, 548, 276, 564, 258, 546)(235, 523, 249, 537, 270, 558, 261, 549)(236, 524, 262, 550, 274, 562, 256, 544)(248, 536, 267, 555, 282, 570, 269, 557)(250, 538, 265, 553, 280, 568, 271, 559)(253, 541, 273, 561, 281, 569, 266, 554)(255, 543, 275, 563, 279, 567, 264, 552)(277, 565, 283, 571, 287, 575, 286, 574)(278, 566, 284, 572, 288, 576, 285, 573)(577, 865, 579, 867, 586, 874, 600, 888, 628, 916, 608, 896, 590, 878, 581, 869)(578, 866, 583, 871, 593, 881, 614, 902, 651, 939, 620, 908, 596, 884, 584, 872)(580, 868, 588, 876, 603, 891, 633, 921, 665, 953, 624, 912, 598, 886, 585, 873)(582, 870, 591, 879, 609, 897, 641, 929, 685, 973, 647, 935, 612, 900, 592, 880)(587, 875, 602, 890, 630, 918, 607, 895, 639, 927, 669, 957, 626, 914, 599, 887)(589, 877, 605, 893, 636, 924, 670, 958, 627, 915, 601, 889, 629, 917, 606, 894)(594, 882, 616, 904, 653, 941, 619, 907, 658, 946, 696, 984, 649, 937, 613, 901)(595, 883, 617, 905, 655, 943, 697, 985, 650, 938, 615, 903, 652, 940, 618, 906)(597, 885, 621, 909, 659, 947, 706, 994, 677, 965, 634, 922, 662, 950, 622, 910)(604, 892, 635, 923, 664, 952, 623, 911, 663, 951, 712, 1000, 676, 964, 632, 920)(610, 898, 643, 931, 687, 975, 646, 934, 692, 980, 734, 1022, 683, 971, 640, 928)(611, 899, 644, 932, 689, 977, 735, 1023, 684, 972, 642, 930, 686, 974, 645, 933)(625, 913, 666, 954, 714, 1002, 679, 967, 637, 925, 673, 961, 717, 1005, 667, 955)(631, 919, 674, 962, 719, 1007, 668, 956, 718, 1006, 756, 1044, 723, 1011, 672, 960)(638, 926, 671, 959, 721, 1009, 774, 1062, 720, 1008, 680, 968, 729, 1017, 681, 969)(648, 936, 693, 981, 743, 1031, 702, 990, 656, 944, 700, 988, 746, 1034, 694, 982)(654, 942, 701, 989, 748, 1036, 695, 983, 747, 1035, 792, 1080, 752, 1040, 699, 987)(657, 945, 698, 986, 750, 1038, 724, 1012, 749, 1037, 703, 991, 755, 1043, 704, 992)(660, 948, 708, 996, 761, 1049, 711, 999, 675, 963, 725, 1013, 758, 1046, 705, 993)(661, 949, 709, 997, 763, 1051, 789, 1077, 759, 1047, 707, 995, 760, 1048, 710, 998)(678, 966, 727, 1015, 775, 1063, 726, 1014, 766, 1054, 730, 1018, 767, 1055, 713, 1001)(682, 970, 731, 1019, 779, 1067, 740, 1028, 690, 978, 738, 1026, 782, 1070, 732, 1020)(688, 976, 739, 1027, 784, 1072, 733, 1021, 783, 1071, 765, 1053, 788, 1076, 737, 1025)(691, 979, 736, 1024, 786, 1074, 753, 1041, 785, 1073, 741, 1029, 791, 1079, 742, 1030)(715, 1003, 770, 1058, 811, 1099, 773, 1061, 722, 1010, 776, 1064, 809, 1097, 768, 1056)(716, 1004, 771, 1059, 812, 1100, 778, 1066, 728, 1016, 769, 1057, 810, 1098, 772, 1060)(744, 1032, 795, 1083, 826, 1114, 798, 1086, 751, 1039, 799, 1087, 824, 1112, 793, 1081)(745, 1033, 796, 1084, 827, 1115, 800, 1088, 754, 1042, 794, 1082, 825, 1113, 797, 1085)(757, 1045, 801, 1089, 829, 1117, 807, 1095, 764, 1052, 805, 1093, 831, 1119, 802, 1090)(762, 1050, 806, 1094, 832, 1120, 803, 1091, 777, 1065, 814, 1102, 834, 1122, 804, 1092)(780, 1068, 817, 1105, 842, 1130, 820, 1108, 787, 1075, 821, 1109, 840, 1128, 815, 1103)(781, 1069, 818, 1106, 843, 1131, 822, 1110, 790, 1078, 816, 1104, 841, 1129, 819, 1107)(808, 1096, 835, 1123, 853, 1141, 838, 1126, 813, 1101, 837, 1125, 854, 1142, 836, 1124)(823, 1111, 845, 1133, 859, 1147, 848, 1136, 828, 1116, 847, 1135, 860, 1148, 846, 1134)(830, 1118, 850, 1138, 862, 1150, 851, 1139, 833, 1121, 852, 1140, 861, 1149, 849, 1137)(839, 1127, 855, 1143, 863, 1151, 858, 1146, 844, 1132, 857, 1145, 864, 1152, 856, 1144)
	L = (1, 579)(2, 583)(3, 586)(4, 588)(5, 577)(6, 591)(7, 593)(8, 578)(9, 580)(10, 600)(11, 602)(12, 603)(13, 605)(14, 581)(15, 609)(16, 582)(17, 614)(18, 616)(19, 617)(20, 584)(21, 621)(22, 585)(23, 587)(24, 628)(25, 629)(26, 630)(27, 633)(28, 635)(29, 636)(30, 589)(31, 639)(32, 590)(33, 641)(34, 643)(35, 644)(36, 592)(37, 594)(38, 651)(39, 652)(40, 653)(41, 655)(42, 595)(43, 658)(44, 596)(45, 659)(46, 597)(47, 663)(48, 598)(49, 666)(50, 599)(51, 601)(52, 608)(53, 606)(54, 607)(55, 674)(56, 604)(57, 665)(58, 662)(59, 664)(60, 670)(61, 673)(62, 671)(63, 669)(64, 610)(65, 685)(66, 686)(67, 687)(68, 689)(69, 611)(70, 692)(71, 612)(72, 693)(73, 613)(74, 615)(75, 620)(76, 618)(77, 619)(78, 701)(79, 697)(80, 700)(81, 698)(82, 696)(83, 706)(84, 708)(85, 709)(86, 622)(87, 712)(88, 623)(89, 624)(90, 714)(91, 625)(92, 718)(93, 626)(94, 627)(95, 721)(96, 631)(97, 717)(98, 719)(99, 725)(100, 632)(101, 634)(102, 727)(103, 637)(104, 729)(105, 638)(106, 731)(107, 640)(108, 642)(109, 647)(110, 645)(111, 646)(112, 739)(113, 735)(114, 738)(115, 736)(116, 734)(117, 743)(118, 648)(119, 747)(120, 649)(121, 650)(122, 750)(123, 654)(124, 746)(125, 748)(126, 656)(127, 755)(128, 657)(129, 660)(130, 677)(131, 760)(132, 761)(133, 763)(134, 661)(135, 675)(136, 676)(137, 678)(138, 679)(139, 770)(140, 771)(141, 667)(142, 756)(143, 668)(144, 680)(145, 774)(146, 776)(147, 672)(148, 749)(149, 758)(150, 766)(151, 775)(152, 769)(153, 681)(154, 767)(155, 779)(156, 682)(157, 783)(158, 683)(159, 684)(160, 786)(161, 688)(162, 782)(163, 784)(164, 690)(165, 791)(166, 691)(167, 702)(168, 795)(169, 796)(170, 694)(171, 792)(172, 695)(173, 703)(174, 724)(175, 799)(176, 699)(177, 785)(178, 794)(179, 704)(180, 723)(181, 801)(182, 705)(183, 707)(184, 710)(185, 711)(186, 806)(187, 789)(188, 805)(189, 788)(190, 730)(191, 713)(192, 715)(193, 810)(194, 811)(195, 812)(196, 716)(197, 722)(198, 720)(199, 726)(200, 809)(201, 814)(202, 728)(203, 740)(204, 817)(205, 818)(206, 732)(207, 765)(208, 733)(209, 741)(210, 753)(211, 821)(212, 737)(213, 759)(214, 816)(215, 742)(216, 752)(217, 744)(218, 825)(219, 826)(220, 827)(221, 745)(222, 751)(223, 824)(224, 754)(225, 829)(226, 757)(227, 777)(228, 762)(229, 831)(230, 832)(231, 764)(232, 835)(233, 768)(234, 772)(235, 773)(236, 778)(237, 837)(238, 834)(239, 780)(240, 841)(241, 842)(242, 843)(243, 781)(244, 787)(245, 840)(246, 790)(247, 845)(248, 793)(249, 797)(250, 798)(251, 800)(252, 847)(253, 807)(254, 850)(255, 802)(256, 803)(257, 852)(258, 804)(259, 853)(260, 808)(261, 854)(262, 813)(263, 855)(264, 815)(265, 819)(266, 820)(267, 822)(268, 857)(269, 859)(270, 823)(271, 860)(272, 828)(273, 830)(274, 862)(275, 833)(276, 861)(277, 838)(278, 836)(279, 863)(280, 839)(281, 864)(282, 844)(283, 848)(284, 846)(285, 849)(286, 851)(287, 858)(288, 856)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2370
Graph:: bipartite
	v = 108 e = 576 f = 432
	degree seq :: [ 8^72, 16^36 ]

E19.2370 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x ((C3 x C3) : C4)) : C2 (small group id <288, 433>)
Aut   = $<576, 5357>$ (small group id <576, 5357>)
|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^-3)^2, Y3^-2 * Y2 * Y3^4 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^8, (Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1)^3, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 ]
Map:: polytopal
	R = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)(577, 865, 578, 866)(579, 867, 583, 871)(580, 868, 585, 873)(581, 869, 587, 875)(582, 870, 589, 877)(584, 872, 593, 881)(586, 874, 597, 885)(588, 876, 601, 889)(590, 878, 605, 893)(591, 879, 604, 892)(592, 880, 608, 896)(594, 882, 612, 900)(595, 883, 614, 902)(596, 884, 599, 887)(598, 886, 619, 907)(600, 888, 621, 909)(602, 890, 625, 913)(603, 891, 627, 915)(606, 894, 632, 920)(607, 895, 633, 921)(609, 897, 637, 925)(610, 898, 636, 924)(611, 899, 640, 928)(613, 901, 626, 914)(615, 903, 646, 934)(616, 904, 647, 935)(617, 905, 648, 936)(618, 906, 644, 932)(620, 908, 649, 937)(622, 910, 653, 941)(623, 911, 652, 940)(624, 912, 656, 944)(628, 916, 662, 950)(629, 917, 663, 951)(630, 918, 664, 952)(631, 919, 660, 948)(634, 922, 667, 955)(635, 923, 668, 956)(638, 926, 659, 947)(639, 927, 673, 961)(641, 929, 676, 964)(642, 930, 675, 963)(643, 931, 654, 942)(645, 933, 678, 966)(650, 938, 685, 973)(651, 939, 686, 974)(655, 943, 691, 979)(657, 945, 694, 982)(658, 946, 693, 981)(661, 949, 696, 984)(665, 953, 700, 988)(666, 954, 702, 990)(669, 957, 707, 995)(670, 958, 708, 996)(671, 959, 698, 986)(672, 960, 705, 993)(674, 962, 711, 999)(677, 965, 715, 1003)(679, 967, 717, 1005)(680, 968, 689, 977)(681, 969, 720, 1008)(682, 970, 683, 971)(684, 972, 722, 1010)(687, 975, 727, 1015)(688, 976, 728, 1016)(690, 978, 725, 1013)(692, 980, 731, 1019)(695, 983, 735, 1023)(697, 985, 737, 1025)(699, 987, 740, 1028)(701, 989, 741, 1029)(703, 991, 744, 1032)(704, 992, 743, 1031)(706, 994, 746, 1034)(709, 997, 750, 1038)(710, 998, 752, 1040)(712, 1000, 756, 1044)(713, 1001, 748, 1036)(714, 1002, 754, 1042)(716, 1004, 758, 1046)(718, 1006, 761, 1049)(719, 1007, 762, 1050)(721, 1009, 763, 1051)(723, 1011, 766, 1054)(724, 1012, 765, 1053)(726, 1014, 768, 1056)(729, 1017, 772, 1060)(730, 1018, 774, 1062)(732, 1020, 778, 1066)(733, 1021, 770, 1058)(734, 1022, 776, 1064)(736, 1024, 780, 1068)(738, 1026, 783, 1071)(739, 1027, 784, 1072)(742, 1030, 787, 1075)(745, 1033, 791, 1079)(747, 1035, 793, 1081)(749, 1037, 796, 1084)(751, 1039, 773, 1061)(753, 1041, 775, 1063)(755, 1043, 799, 1087)(757, 1045, 801, 1089)(759, 1047, 803, 1091)(760, 1048, 804, 1092)(764, 1052, 807, 1095)(767, 1055, 811, 1099)(769, 1057, 813, 1101)(771, 1059, 816, 1104)(777, 1065, 819, 1107)(779, 1067, 821, 1109)(781, 1069, 823, 1111)(782, 1070, 824, 1112)(785, 1073, 809, 1097)(786, 1074, 825, 1113)(788, 1076, 828, 1116)(789, 1077, 805, 1093)(790, 1078, 826, 1114)(792, 1080, 830, 1118)(794, 1082, 818, 1106)(795, 1083, 817, 1105)(797, 1085, 815, 1103)(798, 1086, 814, 1102)(800, 1088, 834, 1122)(802, 1090, 836, 1124)(806, 1094, 837, 1125)(808, 1096, 840, 1128)(810, 1098, 838, 1126)(812, 1100, 842, 1130)(820, 1108, 846, 1134)(822, 1110, 848, 1136)(827, 1115, 849, 1137)(829, 1117, 851, 1139)(831, 1119, 845, 1133)(832, 1120, 847, 1135)(833, 1121, 843, 1131)(835, 1123, 844, 1132)(839, 1127, 854, 1142)(841, 1129, 856, 1144)(850, 1138, 860, 1148)(852, 1140, 861, 1149)(853, 1141, 859, 1147)(855, 1143, 863, 1151)(857, 1145, 864, 1152)(858, 1146, 862, 1150)
	L = (1, 579)(2, 581)(3, 584)(4, 577)(5, 588)(6, 578)(7, 591)(8, 594)(9, 595)(10, 580)(11, 599)(12, 602)(13, 603)(14, 582)(15, 607)(16, 583)(17, 610)(18, 613)(19, 615)(20, 585)(21, 617)(22, 586)(23, 620)(24, 587)(25, 623)(26, 626)(27, 628)(28, 589)(29, 630)(30, 590)(31, 634)(32, 635)(33, 592)(34, 639)(35, 593)(36, 642)(37, 598)(38, 644)(39, 643)(40, 596)(41, 641)(42, 597)(43, 638)(44, 650)(45, 651)(46, 600)(47, 655)(48, 601)(49, 658)(50, 606)(51, 660)(52, 659)(53, 604)(54, 657)(55, 605)(56, 654)(57, 665)(58, 619)(59, 669)(60, 608)(61, 671)(62, 609)(63, 618)(64, 674)(65, 611)(66, 616)(67, 612)(68, 677)(69, 614)(70, 679)(71, 681)(72, 667)(73, 683)(74, 632)(75, 687)(76, 621)(77, 689)(78, 622)(79, 631)(80, 692)(81, 624)(82, 629)(83, 625)(84, 695)(85, 627)(86, 697)(87, 699)(88, 685)(89, 701)(90, 633)(91, 704)(92, 705)(93, 648)(94, 636)(95, 703)(96, 637)(97, 709)(98, 645)(99, 640)(100, 713)(101, 712)(102, 716)(103, 718)(104, 646)(105, 719)(106, 647)(107, 721)(108, 649)(109, 724)(110, 725)(111, 664)(112, 652)(113, 723)(114, 653)(115, 729)(116, 661)(117, 656)(118, 733)(119, 732)(120, 736)(121, 738)(122, 662)(123, 739)(124, 663)(125, 672)(126, 742)(127, 666)(128, 670)(129, 745)(130, 668)(131, 747)(132, 749)(133, 751)(134, 673)(135, 754)(136, 675)(137, 753)(138, 676)(139, 752)(140, 759)(141, 678)(142, 682)(143, 680)(144, 756)(145, 690)(146, 764)(147, 684)(148, 688)(149, 767)(150, 686)(151, 769)(152, 771)(153, 773)(154, 691)(155, 776)(156, 693)(157, 775)(158, 694)(159, 774)(160, 781)(161, 696)(162, 700)(163, 698)(164, 778)(165, 785)(166, 706)(167, 702)(168, 789)(169, 788)(170, 792)(171, 794)(172, 707)(173, 795)(174, 708)(175, 714)(176, 797)(177, 710)(178, 798)(179, 711)(180, 800)(181, 715)(182, 799)(183, 720)(184, 717)(185, 786)(186, 790)(187, 805)(188, 726)(189, 722)(190, 809)(191, 808)(192, 812)(193, 814)(194, 727)(195, 815)(196, 728)(197, 734)(198, 817)(199, 730)(200, 818)(201, 731)(202, 820)(203, 735)(204, 819)(205, 740)(206, 737)(207, 806)(208, 810)(209, 762)(210, 741)(211, 826)(212, 743)(213, 761)(214, 744)(215, 825)(216, 831)(217, 746)(218, 750)(219, 748)(220, 828)(221, 755)(222, 757)(223, 833)(224, 760)(225, 835)(226, 758)(227, 829)(228, 827)(229, 784)(230, 763)(231, 838)(232, 765)(233, 783)(234, 766)(235, 837)(236, 843)(237, 768)(238, 772)(239, 770)(240, 840)(241, 777)(242, 779)(243, 845)(244, 782)(245, 847)(246, 780)(247, 841)(248, 839)(249, 804)(250, 803)(251, 787)(252, 850)(253, 791)(254, 849)(255, 796)(256, 793)(257, 853)(258, 801)(259, 802)(260, 852)(261, 824)(262, 823)(263, 807)(264, 855)(265, 811)(266, 854)(267, 816)(268, 813)(269, 858)(270, 821)(271, 822)(272, 857)(273, 859)(274, 832)(275, 836)(276, 830)(277, 834)(278, 862)(279, 844)(280, 848)(281, 842)(282, 846)(283, 864)(284, 851)(285, 863)(286, 861)(287, 856)(288, 860)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.2369
Graph:: simple bipartite
	v = 432 e = 576 f = 108
	degree seq :: [ 2^288, 4^144 ]

E19.2371 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x ((C3 x C3) : C4)) : C2 (small group id <288, 433>)
Aut   = $<576, 5357>$ (small group id <576, 5357>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y1^8, Y1^-3 * Y3^-1 * Y1^4 * Y3 * Y1^-1, Y1^-2 * Y3^-1 * Y1^-3 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^3 * Y3 * Y1^-1, Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 289, 2, 290, 5, 293, 11, 299, 23, 311, 22, 310, 10, 298, 4, 292)(3, 291, 7, 295, 15, 303, 31, 319, 44, 332, 37, 325, 18, 306, 8, 296)(6, 294, 13, 301, 27, 315, 51, 339, 43, 331, 56, 344, 30, 318, 14, 302)(9, 297, 19, 307, 38, 326, 46, 334, 24, 312, 45, 333, 40, 328, 20, 308)(12, 300, 25, 313, 47, 335, 42, 330, 21, 309, 41, 329, 50, 338, 26, 314)(16, 304, 33, 321, 60, 348, 93, 381, 67, 355, 74, 362, 62, 350, 34, 322)(17, 305, 35, 323, 63, 351, 88, 376, 57, 345, 83, 371, 53, 341, 28, 316)(29, 317, 54, 342, 84, 372, 72, 360, 79, 367, 111, 399, 76, 364, 48, 336)(32, 320, 58, 346, 89, 377, 66, 354, 36, 324, 65, 353, 92, 380, 59, 347)(39, 327, 69, 357, 103, 391, 107, 395, 73, 361, 49, 337, 77, 365, 70, 358)(52, 340, 80, 368, 115, 403, 87, 375, 55, 343, 86, 374, 118, 406, 81, 369)(61, 349, 95, 383, 132, 420, 100, 388, 129, 417, 168, 456, 126, 414, 90, 378)(64, 352, 98, 386, 137, 425, 161, 449, 120, 408, 91, 379, 127, 415, 99, 387)(68, 356, 101, 389, 139, 427, 106, 394, 71, 359, 105, 393, 141, 429, 102, 390)(75, 363, 108, 396, 146, 434, 114, 402, 78, 366, 113, 401, 149, 437, 109, 397)(82, 370, 119, 407, 159, 447, 124, 412, 97, 385, 136, 424, 156, 444, 116, 404)(85, 373, 122, 410, 163, 451, 194, 482, 151, 439, 117, 405, 157, 445, 123, 411)(94, 382, 130, 418, 172, 460, 135, 423, 96, 384, 134, 422, 174, 462, 131, 419)(104, 392, 143, 431, 185, 473, 144, 432, 145, 433, 187, 475, 182, 470, 140, 428)(110, 398, 150, 438, 192, 480, 154, 442, 121, 409, 162, 450, 189, 477, 147, 435)(112, 400, 152, 440, 195, 483, 184, 472, 142, 430, 148, 436, 190, 478, 153, 441)(125, 413, 165, 453, 188, 476, 171, 459, 128, 416, 170, 458, 191, 479, 166, 454)(133, 421, 176, 464, 220, 508, 250, 538, 212, 500, 173, 461, 217, 505, 177, 465)(138, 426, 180, 468, 205, 493, 160, 448, 204, 492, 244, 532, 222, 510, 178, 466)(155, 443, 197, 485, 183, 471, 202, 490, 158, 446, 201, 489, 181, 469, 198, 486)(164, 452, 208, 496, 234, 522, 193, 481, 233, 521, 262, 550, 246, 534, 206, 494)(167, 455, 211, 499, 231, 519, 215, 503, 175, 463, 219, 507, 235, 523, 209, 497)(169, 457, 213, 501, 230, 518, 223, 511, 179, 467, 210, 498, 232, 520, 214, 502)(186, 474, 196, 484, 236, 524, 261, 549, 229, 517, 226, 514, 259, 547, 228, 516)(199, 487, 239, 527, 216, 504, 242, 530, 203, 491, 243, 531, 218, 506, 237, 525)(200, 488, 240, 528, 227, 515, 247, 535, 207, 495, 238, 526, 225, 513, 241, 529)(221, 509, 255, 543, 264, 552, 249, 537, 273, 561, 283, 571, 275, 563, 253, 541)(224, 512, 251, 539, 263, 551, 280, 568, 268, 556, 257, 545, 270, 558, 258, 546)(245, 533, 269, 557, 254, 542, 265, 553, 256, 544, 274, 562, 252, 540, 267, 555)(248, 536, 266, 554, 278, 566, 286, 574, 279, 567, 271, 559, 260, 548, 272, 560)(276, 564, 284, 572, 287, 575, 282, 570, 288, 576, 281, 569, 277, 565, 285, 573)(577, 865)(578, 866)(579, 867)(580, 868)(581, 869)(582, 870)(583, 871)(584, 872)(585, 873)(586, 874)(587, 875)(588, 876)(589, 877)(590, 878)(591, 879)(592, 880)(593, 881)(594, 882)(595, 883)(596, 884)(597, 885)(598, 886)(599, 887)(600, 888)(601, 889)(602, 890)(603, 891)(604, 892)(605, 893)(606, 894)(607, 895)(608, 896)(609, 897)(610, 898)(611, 899)(612, 900)(613, 901)(614, 902)(615, 903)(616, 904)(617, 905)(618, 906)(619, 907)(620, 908)(621, 909)(622, 910)(623, 911)(624, 912)(625, 913)(626, 914)(627, 915)(628, 916)(629, 917)(630, 918)(631, 919)(632, 920)(633, 921)(634, 922)(635, 923)(636, 924)(637, 925)(638, 926)(639, 927)(640, 928)(641, 929)(642, 930)(643, 931)(644, 932)(645, 933)(646, 934)(647, 935)(648, 936)(649, 937)(650, 938)(651, 939)(652, 940)(653, 941)(654, 942)(655, 943)(656, 944)(657, 945)(658, 946)(659, 947)(660, 948)(661, 949)(662, 950)(663, 951)(664, 952)(665, 953)(666, 954)(667, 955)(668, 956)(669, 957)(670, 958)(671, 959)(672, 960)(673, 961)(674, 962)(675, 963)(676, 964)(677, 965)(678, 966)(679, 967)(680, 968)(681, 969)(682, 970)(683, 971)(684, 972)(685, 973)(686, 974)(687, 975)(688, 976)(689, 977)(690, 978)(691, 979)(692, 980)(693, 981)(694, 982)(695, 983)(696, 984)(697, 985)(698, 986)(699, 987)(700, 988)(701, 989)(702, 990)(703, 991)(704, 992)(705, 993)(706, 994)(707, 995)(708, 996)(709, 997)(710, 998)(711, 999)(712, 1000)(713, 1001)(714, 1002)(715, 1003)(716, 1004)(717, 1005)(718, 1006)(719, 1007)(720, 1008)(721, 1009)(722, 1010)(723, 1011)(724, 1012)(725, 1013)(726, 1014)(727, 1015)(728, 1016)(729, 1017)(730, 1018)(731, 1019)(732, 1020)(733, 1021)(734, 1022)(735, 1023)(736, 1024)(737, 1025)(738, 1026)(739, 1027)(740, 1028)(741, 1029)(742, 1030)(743, 1031)(744, 1032)(745, 1033)(746, 1034)(747, 1035)(748, 1036)(749, 1037)(750, 1038)(751, 1039)(752, 1040)(753, 1041)(754, 1042)(755, 1043)(756, 1044)(757, 1045)(758, 1046)(759, 1047)(760, 1048)(761, 1049)(762, 1050)(763, 1051)(764, 1052)(765, 1053)(766, 1054)(767, 1055)(768, 1056)(769, 1057)(770, 1058)(771, 1059)(772, 1060)(773, 1061)(774, 1062)(775, 1063)(776, 1064)(777, 1065)(778, 1066)(779, 1067)(780, 1068)(781, 1069)(782, 1070)(783, 1071)(784, 1072)(785, 1073)(786, 1074)(787, 1075)(788, 1076)(789, 1077)(790, 1078)(791, 1079)(792, 1080)(793, 1081)(794, 1082)(795, 1083)(796, 1084)(797, 1085)(798, 1086)(799, 1087)(800, 1088)(801, 1089)(802, 1090)(803, 1091)(804, 1092)(805, 1093)(806, 1094)(807, 1095)(808, 1096)(809, 1097)(810, 1098)(811, 1099)(812, 1100)(813, 1101)(814, 1102)(815, 1103)(816, 1104)(817, 1105)(818, 1106)(819, 1107)(820, 1108)(821, 1109)(822, 1110)(823, 1111)(824, 1112)(825, 1113)(826, 1114)(827, 1115)(828, 1116)(829, 1117)(830, 1118)(831, 1119)(832, 1120)(833, 1121)(834, 1122)(835, 1123)(836, 1124)(837, 1125)(838, 1126)(839, 1127)(840, 1128)(841, 1129)(842, 1130)(843, 1131)(844, 1132)(845, 1133)(846, 1134)(847, 1135)(848, 1136)(849, 1137)(850, 1138)(851, 1139)(852, 1140)(853, 1141)(854, 1142)(855, 1143)(856, 1144)(857, 1145)(858, 1146)(859, 1147)(860, 1148)(861, 1149)(862, 1150)(863, 1151)(864, 1152)
	L = (1, 579)(2, 582)(3, 577)(4, 585)(5, 588)(6, 578)(7, 592)(8, 593)(9, 580)(10, 597)(11, 600)(12, 581)(13, 604)(14, 605)(15, 608)(16, 583)(17, 584)(18, 612)(19, 615)(20, 609)(21, 586)(22, 619)(23, 620)(24, 587)(25, 624)(26, 625)(27, 628)(28, 589)(29, 590)(30, 631)(31, 633)(32, 591)(33, 596)(34, 637)(35, 640)(36, 594)(37, 643)(38, 644)(39, 595)(40, 647)(41, 648)(42, 645)(43, 598)(44, 599)(45, 649)(46, 650)(47, 651)(48, 601)(49, 602)(50, 654)(51, 655)(52, 603)(53, 658)(54, 661)(55, 606)(56, 664)(57, 607)(58, 666)(59, 667)(60, 670)(61, 610)(62, 672)(63, 673)(64, 611)(65, 676)(66, 674)(67, 613)(68, 614)(69, 618)(70, 680)(71, 616)(72, 617)(73, 621)(74, 622)(75, 623)(76, 686)(77, 688)(78, 626)(79, 627)(80, 692)(81, 693)(82, 629)(83, 696)(84, 697)(85, 630)(86, 700)(87, 698)(88, 632)(89, 701)(90, 634)(91, 635)(92, 704)(93, 705)(94, 636)(95, 709)(96, 638)(97, 639)(98, 642)(99, 714)(100, 641)(101, 716)(102, 710)(103, 718)(104, 646)(105, 720)(106, 706)(107, 721)(108, 723)(109, 724)(110, 652)(111, 727)(112, 653)(113, 730)(114, 728)(115, 731)(116, 656)(117, 657)(118, 734)(119, 736)(120, 659)(121, 660)(122, 663)(123, 740)(124, 662)(125, 665)(126, 743)(127, 745)(128, 668)(129, 669)(130, 682)(131, 749)(132, 751)(133, 671)(134, 678)(135, 752)(136, 754)(137, 755)(138, 675)(139, 757)(140, 677)(141, 759)(142, 679)(143, 762)(144, 681)(145, 683)(146, 764)(147, 684)(148, 685)(149, 767)(150, 769)(151, 687)(152, 690)(153, 772)(154, 689)(155, 691)(156, 775)(157, 776)(158, 694)(159, 779)(160, 695)(161, 780)(162, 782)(163, 783)(164, 699)(165, 785)(166, 786)(167, 702)(168, 788)(169, 703)(170, 791)(171, 789)(172, 792)(173, 707)(174, 794)(175, 708)(176, 711)(177, 797)(178, 712)(179, 713)(180, 800)(181, 715)(182, 801)(183, 717)(184, 802)(185, 803)(186, 719)(187, 805)(188, 722)(189, 806)(190, 807)(191, 725)(192, 808)(193, 726)(194, 809)(195, 811)(196, 729)(197, 813)(198, 814)(199, 732)(200, 733)(201, 818)(202, 816)(203, 735)(204, 737)(205, 821)(206, 738)(207, 739)(208, 824)(209, 741)(210, 742)(211, 825)(212, 744)(213, 747)(214, 827)(215, 746)(216, 748)(217, 828)(218, 750)(219, 829)(220, 830)(221, 753)(222, 832)(223, 833)(224, 756)(225, 758)(226, 760)(227, 761)(228, 836)(229, 763)(230, 765)(231, 766)(232, 768)(233, 770)(234, 839)(235, 771)(236, 840)(237, 773)(238, 774)(239, 841)(240, 778)(241, 842)(242, 777)(243, 843)(244, 844)(245, 781)(246, 846)(247, 847)(248, 784)(249, 787)(250, 849)(251, 790)(252, 793)(253, 795)(254, 796)(255, 852)(256, 798)(257, 799)(258, 853)(259, 851)(260, 804)(261, 854)(262, 855)(263, 810)(264, 812)(265, 815)(266, 817)(267, 819)(268, 820)(269, 857)(270, 822)(271, 823)(272, 858)(273, 826)(274, 860)(275, 835)(276, 831)(277, 834)(278, 837)(279, 838)(280, 863)(281, 845)(282, 848)(283, 864)(284, 850)(285, 862)(286, 861)(287, 856)(288, 859)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	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 E19.2368
Graph:: simple bipartite
	v = 324 e = 576 f = 216
	degree seq :: [ 2^288, 16^36 ]

E19.2372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x ((C3 x C3) : C4)) : C2 (small group id <288, 433>)
Aut   = $<576, 5357>$ (small group id <576, 5357>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^8, Y2^8, (Y3 * Y2^-1)^4, (Y2^-2 * R * Y2^-2)^2, (Y2^-1 * Y1 * Y2^-3)^2, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-2)^2, (Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^2, (Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1)^3 ]
Map::
	R = (1, 289, 2, 290)(3, 291, 7, 295)(4, 292, 9, 297)(5, 293, 11, 299)(6, 294, 13, 301)(8, 296, 17, 305)(10, 298, 21, 309)(12, 300, 25, 313)(14, 302, 29, 317)(15, 303, 28, 316)(16, 304, 32, 320)(18, 306, 36, 324)(19, 307, 38, 326)(20, 308, 23, 311)(22, 310, 43, 331)(24, 312, 45, 333)(26, 314, 49, 337)(27, 315, 51, 339)(30, 318, 56, 344)(31, 319, 57, 345)(33, 321, 61, 349)(34, 322, 60, 348)(35, 323, 64, 352)(37, 325, 50, 338)(39, 327, 70, 358)(40, 328, 71, 359)(41, 329, 72, 360)(42, 330, 68, 356)(44, 332, 73, 361)(46, 334, 77, 365)(47, 335, 76, 364)(48, 336, 80, 368)(52, 340, 86, 374)(53, 341, 87, 375)(54, 342, 88, 376)(55, 343, 84, 372)(58, 346, 91, 379)(59, 347, 92, 380)(62, 350, 83, 371)(63, 351, 97, 385)(65, 353, 100, 388)(66, 354, 99, 387)(67, 355, 78, 366)(69, 357, 102, 390)(74, 362, 109, 397)(75, 363, 110, 398)(79, 367, 115, 403)(81, 369, 118, 406)(82, 370, 117, 405)(85, 373, 120, 408)(89, 377, 124, 412)(90, 378, 126, 414)(93, 381, 131, 419)(94, 382, 132, 420)(95, 383, 122, 410)(96, 384, 129, 417)(98, 386, 135, 423)(101, 389, 139, 427)(103, 391, 141, 429)(104, 392, 113, 401)(105, 393, 144, 432)(106, 394, 107, 395)(108, 396, 146, 434)(111, 399, 151, 439)(112, 400, 152, 440)(114, 402, 149, 437)(116, 404, 155, 443)(119, 407, 159, 447)(121, 409, 161, 449)(123, 411, 164, 452)(125, 413, 165, 453)(127, 415, 168, 456)(128, 416, 167, 455)(130, 418, 170, 458)(133, 421, 174, 462)(134, 422, 176, 464)(136, 424, 180, 468)(137, 425, 172, 460)(138, 426, 178, 466)(140, 428, 182, 470)(142, 430, 185, 473)(143, 431, 186, 474)(145, 433, 187, 475)(147, 435, 190, 478)(148, 436, 189, 477)(150, 438, 192, 480)(153, 441, 196, 484)(154, 442, 198, 486)(156, 444, 202, 490)(157, 445, 194, 482)(158, 446, 200, 488)(160, 448, 204, 492)(162, 450, 207, 495)(163, 451, 208, 496)(166, 454, 211, 499)(169, 457, 215, 503)(171, 459, 217, 505)(173, 461, 220, 508)(175, 463, 197, 485)(177, 465, 199, 487)(179, 467, 223, 511)(181, 469, 225, 513)(183, 471, 227, 515)(184, 472, 228, 516)(188, 476, 231, 519)(191, 479, 235, 523)(193, 481, 237, 525)(195, 483, 240, 528)(201, 489, 243, 531)(203, 491, 245, 533)(205, 493, 247, 535)(206, 494, 248, 536)(209, 497, 233, 521)(210, 498, 249, 537)(212, 500, 252, 540)(213, 501, 229, 517)(214, 502, 250, 538)(216, 504, 254, 542)(218, 506, 242, 530)(219, 507, 241, 529)(221, 509, 239, 527)(222, 510, 238, 526)(224, 512, 258, 546)(226, 514, 260, 548)(230, 518, 261, 549)(232, 520, 264, 552)(234, 522, 262, 550)(236, 524, 266, 554)(244, 532, 270, 558)(246, 534, 272, 560)(251, 539, 273, 561)(253, 541, 275, 563)(255, 543, 269, 557)(256, 544, 271, 559)(257, 545, 267, 555)(259, 547, 268, 556)(263, 551, 278, 566)(265, 553, 280, 568)(274, 562, 284, 572)(276, 564, 285, 573)(277, 565, 283, 571)(279, 567, 287, 575)(281, 569, 288, 576)(282, 570, 286, 574)(577, 865, 579, 867, 584, 872, 594, 882, 613, 901, 598, 886, 586, 874, 580, 868)(578, 866, 581, 869, 588, 876, 602, 890, 626, 914, 606, 894, 590, 878, 582, 870)(583, 871, 591, 879, 607, 895, 634, 922, 619, 907, 638, 926, 609, 897, 592, 880)(585, 873, 595, 883, 615, 903, 643, 931, 612, 900, 642, 930, 616, 904, 596, 884)(587, 875, 599, 887, 620, 908, 650, 938, 632, 920, 654, 942, 622, 910, 600, 888)(589, 877, 603, 891, 628, 916, 659, 947, 625, 913, 658, 946, 629, 917, 604, 892)(593, 881, 610, 898, 639, 927, 618, 906, 597, 885, 617, 905, 641, 929, 611, 899)(601, 889, 623, 911, 655, 943, 631, 919, 605, 893, 630, 918, 657, 945, 624, 912)(608, 896, 635, 923, 669, 957, 648, 936, 667, 955, 704, 992, 670, 958, 636, 924)(614, 902, 644, 932, 677, 965, 712, 1000, 675, 963, 640, 928, 674, 962, 645, 933)(621, 909, 651, 939, 687, 975, 664, 952, 685, 973, 724, 1012, 688, 976, 652, 940)(627, 915, 660, 948, 695, 983, 732, 1020, 693, 981, 656, 944, 692, 980, 661, 949)(633, 921, 665, 953, 701, 989, 672, 960, 637, 925, 671, 959, 703, 991, 666, 954)(646, 934, 679, 967, 718, 1006, 682, 970, 647, 935, 681, 969, 719, 1007, 680, 968)(649, 937, 683, 971, 721, 1009, 690, 978, 653, 941, 689, 977, 723, 1011, 684, 972)(662, 950, 697, 985, 738, 1026, 700, 988, 663, 951, 699, 987, 739, 1027, 698, 986)(668, 956, 705, 993, 745, 1033, 788, 1076, 743, 1031, 702, 990, 742, 1030, 706, 994)(673, 961, 709, 997, 751, 1039, 714, 1002, 676, 964, 713, 1001, 753, 1041, 710, 998)(678, 966, 716, 1004, 759, 1047, 720, 1008, 756, 1044, 800, 1088, 760, 1048, 717, 1005)(686, 974, 725, 1013, 767, 1055, 808, 1096, 765, 1053, 722, 1010, 764, 1052, 726, 1014)(691, 979, 729, 1017, 773, 1061, 734, 1022, 694, 982, 733, 1021, 775, 1063, 730, 1018)(696, 984, 736, 1024, 781, 1069, 740, 1028, 778, 1066, 820, 1108, 782, 1070, 737, 1025)(707, 995, 747, 1035, 794, 1082, 750, 1038, 708, 996, 749, 1037, 795, 1083, 748, 1036)(711, 999, 754, 1042, 798, 1086, 757, 1045, 715, 1003, 752, 1040, 797, 1085, 755, 1043)(727, 1015, 769, 1057, 814, 1102, 772, 1060, 728, 1016, 771, 1059, 815, 1103, 770, 1058)(731, 1019, 776, 1064, 818, 1106, 779, 1067, 735, 1023, 774, 1062, 817, 1105, 777, 1065)(741, 1029, 785, 1073, 762, 1050, 790, 1078, 744, 1032, 789, 1077, 761, 1049, 786, 1074)(746, 1034, 792, 1080, 831, 1119, 796, 1084, 828, 1116, 850, 1138, 832, 1120, 793, 1081)(758, 1046, 799, 1087, 833, 1121, 853, 1141, 834, 1122, 801, 1089, 835, 1123, 802, 1090)(763, 1051, 805, 1093, 784, 1072, 810, 1098, 766, 1054, 809, 1097, 783, 1071, 806, 1094)(768, 1056, 812, 1100, 843, 1131, 816, 1104, 840, 1128, 855, 1143, 844, 1132, 813, 1101)(780, 1068, 819, 1107, 845, 1133, 858, 1146, 846, 1134, 821, 1109, 847, 1135, 822, 1110)(787, 1075, 826, 1114, 803, 1091, 829, 1117, 791, 1079, 825, 1113, 804, 1092, 827, 1115)(807, 1095, 838, 1126, 823, 1111, 841, 1129, 811, 1099, 837, 1125, 824, 1112, 839, 1127)(830, 1118, 849, 1137, 859, 1147, 864, 1152, 860, 1148, 851, 1139, 836, 1124, 852, 1140)(842, 1130, 854, 1142, 862, 1150, 861, 1149, 863, 1151, 856, 1144, 848, 1136, 857, 1145)
	L = (1, 578)(2, 577)(3, 583)(4, 585)(5, 587)(6, 589)(7, 579)(8, 593)(9, 580)(10, 597)(11, 581)(12, 601)(13, 582)(14, 605)(15, 604)(16, 608)(17, 584)(18, 612)(19, 614)(20, 599)(21, 586)(22, 619)(23, 596)(24, 621)(25, 588)(26, 625)(27, 627)(28, 591)(29, 590)(30, 632)(31, 633)(32, 592)(33, 637)(34, 636)(35, 640)(36, 594)(37, 626)(38, 595)(39, 646)(40, 647)(41, 648)(42, 644)(43, 598)(44, 649)(45, 600)(46, 653)(47, 652)(48, 656)(49, 602)(50, 613)(51, 603)(52, 662)(53, 663)(54, 664)(55, 660)(56, 606)(57, 607)(58, 667)(59, 668)(60, 610)(61, 609)(62, 659)(63, 673)(64, 611)(65, 676)(66, 675)(67, 654)(68, 618)(69, 678)(70, 615)(71, 616)(72, 617)(73, 620)(74, 685)(75, 686)(76, 623)(77, 622)(78, 643)(79, 691)(80, 624)(81, 694)(82, 693)(83, 638)(84, 631)(85, 696)(86, 628)(87, 629)(88, 630)(89, 700)(90, 702)(91, 634)(92, 635)(93, 707)(94, 708)(95, 698)(96, 705)(97, 639)(98, 711)(99, 642)(100, 641)(101, 715)(102, 645)(103, 717)(104, 689)(105, 720)(106, 683)(107, 682)(108, 722)(109, 650)(110, 651)(111, 727)(112, 728)(113, 680)(114, 725)(115, 655)(116, 731)(117, 658)(118, 657)(119, 735)(120, 661)(121, 737)(122, 671)(123, 740)(124, 665)(125, 741)(126, 666)(127, 744)(128, 743)(129, 672)(130, 746)(131, 669)(132, 670)(133, 750)(134, 752)(135, 674)(136, 756)(137, 748)(138, 754)(139, 677)(140, 758)(141, 679)(142, 761)(143, 762)(144, 681)(145, 763)(146, 684)(147, 766)(148, 765)(149, 690)(150, 768)(151, 687)(152, 688)(153, 772)(154, 774)(155, 692)(156, 778)(157, 770)(158, 776)(159, 695)(160, 780)(161, 697)(162, 783)(163, 784)(164, 699)(165, 701)(166, 787)(167, 704)(168, 703)(169, 791)(170, 706)(171, 793)(172, 713)(173, 796)(174, 709)(175, 773)(176, 710)(177, 775)(178, 714)(179, 799)(180, 712)(181, 801)(182, 716)(183, 803)(184, 804)(185, 718)(186, 719)(187, 721)(188, 807)(189, 724)(190, 723)(191, 811)(192, 726)(193, 813)(194, 733)(195, 816)(196, 729)(197, 751)(198, 730)(199, 753)(200, 734)(201, 819)(202, 732)(203, 821)(204, 736)(205, 823)(206, 824)(207, 738)(208, 739)(209, 809)(210, 825)(211, 742)(212, 828)(213, 805)(214, 826)(215, 745)(216, 830)(217, 747)(218, 818)(219, 817)(220, 749)(221, 815)(222, 814)(223, 755)(224, 834)(225, 757)(226, 836)(227, 759)(228, 760)(229, 789)(230, 837)(231, 764)(232, 840)(233, 785)(234, 838)(235, 767)(236, 842)(237, 769)(238, 798)(239, 797)(240, 771)(241, 795)(242, 794)(243, 777)(244, 846)(245, 779)(246, 848)(247, 781)(248, 782)(249, 786)(250, 790)(251, 849)(252, 788)(253, 851)(254, 792)(255, 845)(256, 847)(257, 843)(258, 800)(259, 844)(260, 802)(261, 806)(262, 810)(263, 854)(264, 808)(265, 856)(266, 812)(267, 833)(268, 835)(269, 831)(270, 820)(271, 832)(272, 822)(273, 827)(274, 860)(275, 829)(276, 861)(277, 859)(278, 839)(279, 863)(280, 841)(281, 864)(282, 862)(283, 853)(284, 850)(285, 852)(286, 858)(287, 855)(288, 857)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2373
Graph:: bipartite
	v = 180 e = 576 f = 360
	degree seq :: [ 4^144, 16^36 ]

E19.2373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x ((C3 x C3) : C4)) : C2 (small group id <288, 433>)
Aut   = $<576, 5357>$ (small group id <576, 5357>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1 * Y3^2)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 289, 2, 290, 6, 294, 4, 292)(3, 291, 9, 297, 21, 309, 11, 299)(5, 293, 13, 301, 18, 306, 7, 295)(8, 296, 19, 307, 34, 322, 15, 303)(10, 298, 23, 311, 49, 337, 25, 313)(12, 300, 16, 304, 35, 323, 28, 316)(14, 302, 31, 319, 61, 349, 29, 317)(17, 305, 37, 325, 72, 360, 39, 327)(20, 308, 43, 331, 80, 368, 41, 329)(22, 310, 47, 335, 84, 372, 45, 333)(24, 312, 51, 339, 82, 370, 44, 332)(26, 314, 46, 334, 85, 373, 55, 343)(27, 315, 56, 344, 99, 387, 58, 346)(30, 318, 62, 350, 78, 366, 40, 328)(32, 320, 57, 345, 101, 389, 63, 351)(33, 321, 64, 352, 106, 394, 66, 354)(36, 324, 70, 358, 114, 402, 68, 356)(38, 326, 74, 362, 116, 404, 71, 359)(42, 330, 81, 369, 112, 400, 67, 355)(48, 336, 65, 353, 108, 396, 87, 375)(50, 338, 92, 380, 139, 427, 90, 378)(52, 340, 75, 363, 109, 397, 89, 377)(53, 341, 91, 379, 140, 428, 95, 383)(54, 342, 96, 384, 146, 434, 97, 385)(59, 347, 69, 357, 115, 403, 102, 390)(60, 348, 103, 391, 152, 440, 104, 392)(73, 361, 119, 407, 168, 456, 117, 405)(76, 364, 118, 406, 169, 457, 122, 410)(77, 365, 123, 411, 175, 463, 124, 412)(79, 367, 126, 414, 178, 466, 127, 415)(83, 371, 129, 417, 181, 469, 131, 419)(86, 374, 135, 423, 188, 476, 133, 421)(88, 376, 137, 425, 186, 474, 132, 420)(93, 381, 130, 418, 183, 471, 142, 430)(94, 382, 144, 432, 171, 459, 120, 408)(98, 386, 134, 422, 189, 477, 148, 436)(100, 388, 150, 438, 201, 489, 149, 437)(105, 393, 154, 442, 177, 465, 125, 413)(107, 395, 157, 445, 204, 492, 155, 443)(110, 398, 156, 444, 205, 493, 160, 448)(111, 399, 161, 449, 211, 499, 162, 450)(113, 401, 164, 452, 214, 502, 165, 453)(121, 409, 173, 461, 207, 495, 158, 446)(128, 416, 180, 468, 213, 501, 163, 451)(136, 424, 159, 447, 209, 497, 190, 478)(138, 426, 192, 480, 232, 520, 193, 481)(141, 429, 197, 485, 237, 525, 195, 483)(143, 431, 174, 462, 221, 509, 194, 482)(145, 433, 196, 484, 238, 526, 199, 487)(147, 435, 179, 467, 224, 512, 200, 488)(151, 439, 166, 454, 216, 504, 198, 486)(153, 441, 202, 490, 230, 518, 191, 479)(167, 455, 217, 505, 247, 535, 218, 506)(170, 458, 222, 510, 252, 540, 220, 508)(172, 460, 210, 498, 243, 531, 219, 507)(176, 464, 215, 503, 246, 534, 223, 511)(182, 470, 227, 515, 254, 542, 225, 513)(184, 472, 226, 514, 245, 533, 212, 500)(185, 473, 228, 516, 257, 545, 229, 517)(187, 475, 231, 519, 241, 529, 208, 496)(203, 491, 239, 527, 263, 551, 240, 528)(206, 494, 244, 532, 268, 556, 242, 530)(233, 521, 251, 539, 272, 560, 259, 547)(234, 522, 260, 548, 276, 564, 258, 546)(235, 523, 249, 537, 270, 558, 261, 549)(236, 524, 262, 550, 274, 562, 256, 544)(248, 536, 267, 555, 282, 570, 269, 557)(250, 538, 265, 553, 280, 568, 271, 559)(253, 541, 273, 561, 281, 569, 266, 554)(255, 543, 275, 563, 279, 567, 264, 552)(277, 565, 283, 571, 287, 575, 286, 574)(278, 566, 284, 572, 288, 576, 285, 573)(577, 865)(578, 866)(579, 867)(580, 868)(581, 869)(582, 870)(583, 871)(584, 872)(585, 873)(586, 874)(587, 875)(588, 876)(589, 877)(590, 878)(591, 879)(592, 880)(593, 881)(594, 882)(595, 883)(596, 884)(597, 885)(598, 886)(599, 887)(600, 888)(601, 889)(602, 890)(603, 891)(604, 892)(605, 893)(606, 894)(607, 895)(608, 896)(609, 897)(610, 898)(611, 899)(612, 900)(613, 901)(614, 902)(615, 903)(616, 904)(617, 905)(618, 906)(619, 907)(620, 908)(621, 909)(622, 910)(623, 911)(624, 912)(625, 913)(626, 914)(627, 915)(628, 916)(629, 917)(630, 918)(631, 919)(632, 920)(633, 921)(634, 922)(635, 923)(636, 924)(637, 925)(638, 926)(639, 927)(640, 928)(641, 929)(642, 930)(643, 931)(644, 932)(645, 933)(646, 934)(647, 935)(648, 936)(649, 937)(650, 938)(651, 939)(652, 940)(653, 941)(654, 942)(655, 943)(656, 944)(657, 945)(658, 946)(659, 947)(660, 948)(661, 949)(662, 950)(663, 951)(664, 952)(665, 953)(666, 954)(667, 955)(668, 956)(669, 957)(670, 958)(671, 959)(672, 960)(673, 961)(674, 962)(675, 963)(676, 964)(677, 965)(678, 966)(679, 967)(680, 968)(681, 969)(682, 970)(683, 971)(684, 972)(685, 973)(686, 974)(687, 975)(688, 976)(689, 977)(690, 978)(691, 979)(692, 980)(693, 981)(694, 982)(695, 983)(696, 984)(697, 985)(698, 986)(699, 987)(700, 988)(701, 989)(702, 990)(703, 991)(704, 992)(705, 993)(706, 994)(707, 995)(708, 996)(709, 997)(710, 998)(711, 999)(712, 1000)(713, 1001)(714, 1002)(715, 1003)(716, 1004)(717, 1005)(718, 1006)(719, 1007)(720, 1008)(721, 1009)(722, 1010)(723, 1011)(724, 1012)(725, 1013)(726, 1014)(727, 1015)(728, 1016)(729, 1017)(730, 1018)(731, 1019)(732, 1020)(733, 1021)(734, 1022)(735, 1023)(736, 1024)(737, 1025)(738, 1026)(739, 1027)(740, 1028)(741, 1029)(742, 1030)(743, 1031)(744, 1032)(745, 1033)(746, 1034)(747, 1035)(748, 1036)(749, 1037)(750, 1038)(751, 1039)(752, 1040)(753, 1041)(754, 1042)(755, 1043)(756, 1044)(757, 1045)(758, 1046)(759, 1047)(760, 1048)(761, 1049)(762, 1050)(763, 1051)(764, 1052)(765, 1053)(766, 1054)(767, 1055)(768, 1056)(769, 1057)(770, 1058)(771, 1059)(772, 1060)(773, 1061)(774, 1062)(775, 1063)(776, 1064)(777, 1065)(778, 1066)(779, 1067)(780, 1068)(781, 1069)(782, 1070)(783, 1071)(784, 1072)(785, 1073)(786, 1074)(787, 1075)(788, 1076)(789, 1077)(790, 1078)(791, 1079)(792, 1080)(793, 1081)(794, 1082)(795, 1083)(796, 1084)(797, 1085)(798, 1086)(799, 1087)(800, 1088)(801, 1089)(802, 1090)(803, 1091)(804, 1092)(805, 1093)(806, 1094)(807, 1095)(808, 1096)(809, 1097)(810, 1098)(811, 1099)(812, 1100)(813, 1101)(814, 1102)(815, 1103)(816, 1104)(817, 1105)(818, 1106)(819, 1107)(820, 1108)(821, 1109)(822, 1110)(823, 1111)(824, 1112)(825, 1113)(826, 1114)(827, 1115)(828, 1116)(829, 1117)(830, 1118)(831, 1119)(832, 1120)(833, 1121)(834, 1122)(835, 1123)(836, 1124)(837, 1125)(838, 1126)(839, 1127)(840, 1128)(841, 1129)(842, 1130)(843, 1131)(844, 1132)(845, 1133)(846, 1134)(847, 1135)(848, 1136)(849, 1137)(850, 1138)(851, 1139)(852, 1140)(853, 1141)(854, 1142)(855, 1143)(856, 1144)(857, 1145)(858, 1146)(859, 1147)(860, 1148)(861, 1149)(862, 1150)(863, 1151)(864, 1152)
	L = (1, 579)(2, 583)(3, 586)(4, 588)(5, 577)(6, 591)(7, 593)(8, 578)(9, 580)(10, 600)(11, 602)(12, 603)(13, 605)(14, 581)(15, 609)(16, 582)(17, 614)(18, 616)(19, 617)(20, 584)(21, 621)(22, 585)(23, 587)(24, 628)(25, 629)(26, 630)(27, 633)(28, 635)(29, 636)(30, 589)(31, 639)(32, 590)(33, 641)(34, 643)(35, 644)(36, 592)(37, 594)(38, 651)(39, 652)(40, 653)(41, 655)(42, 595)(43, 658)(44, 596)(45, 659)(46, 597)(47, 663)(48, 598)(49, 666)(50, 599)(51, 601)(52, 608)(53, 606)(54, 607)(55, 674)(56, 604)(57, 665)(58, 662)(59, 664)(60, 670)(61, 673)(62, 671)(63, 669)(64, 610)(65, 685)(66, 686)(67, 687)(68, 689)(69, 611)(70, 692)(71, 612)(72, 693)(73, 613)(74, 615)(75, 620)(76, 618)(77, 619)(78, 701)(79, 697)(80, 700)(81, 698)(82, 696)(83, 706)(84, 708)(85, 709)(86, 622)(87, 712)(88, 623)(89, 624)(90, 714)(91, 625)(92, 718)(93, 626)(94, 627)(95, 721)(96, 631)(97, 717)(98, 719)(99, 725)(100, 632)(101, 634)(102, 727)(103, 637)(104, 729)(105, 638)(106, 731)(107, 640)(108, 642)(109, 647)(110, 645)(111, 646)(112, 739)(113, 735)(114, 738)(115, 736)(116, 734)(117, 743)(118, 648)(119, 747)(120, 649)(121, 650)(122, 750)(123, 654)(124, 746)(125, 748)(126, 656)(127, 755)(128, 657)(129, 660)(130, 677)(131, 760)(132, 761)(133, 763)(134, 661)(135, 675)(136, 676)(137, 678)(138, 679)(139, 770)(140, 771)(141, 667)(142, 756)(143, 668)(144, 680)(145, 774)(146, 776)(147, 672)(148, 749)(149, 758)(150, 766)(151, 775)(152, 769)(153, 681)(154, 767)(155, 779)(156, 682)(157, 783)(158, 683)(159, 684)(160, 786)(161, 688)(162, 782)(163, 784)(164, 690)(165, 791)(166, 691)(167, 702)(168, 795)(169, 796)(170, 694)(171, 792)(172, 695)(173, 703)(174, 724)(175, 799)(176, 699)(177, 785)(178, 794)(179, 704)(180, 723)(181, 801)(182, 705)(183, 707)(184, 710)(185, 711)(186, 806)(187, 789)(188, 805)(189, 788)(190, 730)(191, 713)(192, 715)(193, 810)(194, 811)(195, 812)(196, 716)(197, 722)(198, 720)(199, 726)(200, 809)(201, 814)(202, 728)(203, 740)(204, 817)(205, 818)(206, 732)(207, 765)(208, 733)(209, 741)(210, 753)(211, 821)(212, 737)(213, 759)(214, 816)(215, 742)(216, 752)(217, 744)(218, 825)(219, 826)(220, 827)(221, 745)(222, 751)(223, 824)(224, 754)(225, 829)(226, 757)(227, 777)(228, 762)(229, 831)(230, 832)(231, 764)(232, 835)(233, 768)(234, 772)(235, 773)(236, 778)(237, 837)(238, 834)(239, 780)(240, 841)(241, 842)(242, 843)(243, 781)(244, 787)(245, 840)(246, 790)(247, 845)(248, 793)(249, 797)(250, 798)(251, 800)(252, 847)(253, 807)(254, 850)(255, 802)(256, 803)(257, 852)(258, 804)(259, 853)(260, 808)(261, 854)(262, 813)(263, 855)(264, 815)(265, 819)(266, 820)(267, 822)(268, 857)(269, 859)(270, 823)(271, 860)(272, 828)(273, 830)(274, 862)(275, 833)(276, 861)(277, 838)(278, 836)(279, 863)(280, 839)(281, 864)(282, 844)(283, 848)(284, 846)(285, 849)(286, 851)(287, 858)(288, 856)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E19.2372
Graph:: simple bipartite
	v = 360 e = 576 f = 180
	degree seq :: [ 2^288, 8^72 ]

E19.2374 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 8})
Quotient :: halfedge
Aut^+ = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
Aut   = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X1^-1 * X2)^4, X2 * X1^-3 * X2 * X1 * X2 * X1^-1 * X2 * X1^3, (X1^-1 * X2 * X1^2 * X2 * X1^-1)^2, (X2 * X1^-3)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 57, 37, 18, 8)(6, 13, 27, 51, 92, 56, 30, 14)(9, 19, 38, 69, 121, 74, 40, 20)(12, 25, 47, 86, 143, 91, 50, 26)(16, 33, 61, 108, 171, 111, 63, 34)(17, 35, 64, 112, 158, 97, 53, 28)(21, 41, 75, 128, 189, 131, 77, 42)(24, 45, 82, 138, 106, 62, 85, 46)(29, 54, 98, 58, 104, 148, 88, 48)(32, 59, 105, 168, 213, 151, 90, 60)(36, 66, 116, 152, 214, 180, 118, 67)(39, 71, 123, 184, 240, 185, 124, 72)(43, 78, 132, 193, 208, 147, 133, 79)(44, 80, 134, 195, 155, 96, 137, 81)(49, 89, 149, 93, 153, 202, 140, 83)(52, 94, 154, 216, 256, 205, 142, 95)(55, 100, 70, 122, 183, 223, 163, 101)(65, 114, 177, 235, 249, 212, 150, 115)(68, 119, 136, 197, 248, 199, 181, 120)(73, 125, 166, 103, 165, 225, 187, 126)(76, 129, 190, 243, 247, 224, 164, 102)(84, 141, 203, 144, 206, 188, 127, 135)(87, 145, 207, 258, 276, 250, 198, 146)(99, 160, 109, 173, 231, 255, 204, 161)(107, 170, 230, 172, 222, 267, 226, 167)(110, 174, 113, 176, 234, 262, 215, 156)(117, 178, 217, 264, 242, 271, 233, 175)(130, 191, 196, 182, 232, 270, 245, 192)(139, 200, 251, 277, 275, 246, 194, 201)(157, 218, 159, 220, 266, 227, 257, 209)(162, 221, 259, 237, 179, 236, 265, 219)(169, 228, 269, 283, 274, 241, 186, 229)(210, 260, 211, 261, 280, 263, 238, 252)(239, 254, 278, 285, 279, 268, 244, 253)(272, 281, 286, 288, 287, 284, 273, 282)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 58)(34, 62)(35, 65)(37, 68)(38, 70)(40, 73)(41, 76)(42, 71)(45, 83)(46, 84)(47, 87)(50, 90)(51, 93)(53, 96)(54, 99)(56, 102)(57, 103)(59, 106)(60, 107)(61, 109)(63, 110)(64, 113)(66, 117)(67, 114)(69, 112)(72, 91)(74, 127)(75, 116)(77, 130)(78, 119)(79, 129)(80, 135)(81, 136)(82, 139)(85, 142)(86, 144)(88, 147)(89, 150)(92, 152)(94, 155)(95, 156)(97, 157)(98, 159)(100, 162)(101, 160)(104, 167)(105, 169)(108, 172)(111, 175)(115, 151)(118, 179)(120, 178)(121, 182)(122, 143)(123, 177)(124, 170)(125, 186)(126, 173)(128, 171)(131, 140)(132, 166)(133, 194)(134, 196)(137, 198)(138, 199)(141, 204)(145, 208)(146, 209)(148, 210)(149, 211)(153, 215)(154, 217)(158, 219)(161, 205)(163, 222)(164, 221)(165, 218)(168, 227)(174, 232)(176, 213)(180, 226)(181, 238)(183, 239)(184, 237)(185, 241)(187, 242)(188, 229)(189, 200)(190, 231)(191, 244)(192, 235)(193, 240)(195, 247)(197, 249)(201, 252)(202, 253)(203, 254)(206, 257)(207, 259)(212, 250)(214, 260)(216, 263)(220, 256)(223, 262)(224, 268)(225, 265)(228, 248)(230, 251)(233, 270)(234, 272)(236, 273)(243, 264)(245, 269)(246, 255)(258, 279)(261, 276)(266, 281)(267, 282)(271, 284)(274, 277)(275, 278)(280, 286)(283, 287)(285, 288)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 36 e = 144 f = 72
	degree seq :: [ 8^36 ]

E19.2375 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 8})
Quotient :: halfedge
Aut^+ = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
Aut   = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
|r| :: 1
Presentation :: [ X2^2, X1^4, (X2 * X1^-1 * X2 * X1^-2 * X2 * X1)^2, X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1, (X1^-1 * X2)^8, X2 * X1^-2 * X2 * X1^2 * X2 * X1^2 * X2 * X1^-2 * X2 * X1^-2 * X2 * X1^-2, X2 * X1^-2 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 113, 70)(43, 71, 90, 72)(45, 74, 120, 75)(46, 76, 123, 77)(47, 78, 126, 79)(52, 86, 136, 87)(60, 98, 153, 99)(61, 100, 82, 101)(63, 103, 159, 104)(64, 105, 162, 106)(66, 108, 158, 102)(67, 109, 168, 110)(68, 111, 171, 112)(73, 118, 179, 119)(81, 129, 191, 130)(84, 132, 193, 133)(85, 134, 194, 135)(89, 140, 201, 141)(92, 143, 205, 144)(93, 145, 208, 146)(95, 148, 204, 142)(96, 149, 214, 150)(97, 151, 217, 152)(107, 165, 195, 166)(114, 175, 209, 160)(115, 176, 122, 157)(116, 155, 221, 161)(117, 177, 238, 178)(121, 182, 210, 163)(124, 184, 202, 164)(125, 185, 206, 154)(127, 187, 242, 188)(128, 189, 244, 190)(131, 137, 196, 192)(138, 197, 247, 198)(139, 199, 250, 200)(147, 211, 186, 212)(156, 203, 254, 207)(167, 227, 263, 228)(169, 230, 259, 231)(170, 220, 249, 232)(172, 234, 255, 229)(173, 235, 261, 218)(174, 216, 253, 236)(180, 240, 251, 219)(181, 241, 260, 213)(183, 225, 262, 215)(222, 265, 245, 252)(223, 266, 272, 246)(224, 258, 273, 248)(226, 267, 243, 257)(233, 270, 239, 256)(237, 268, 278, 269)(264, 275, 282, 276)(271, 279, 283, 277)(274, 280, 285, 281)(284, 286, 288, 287)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 81)(49, 82)(50, 84)(51, 85)(53, 89)(54, 90)(55, 92)(56, 93)(57, 95)(58, 96)(59, 97)(62, 102)(65, 107)(69, 114)(70, 115)(71, 116)(72, 117)(74, 121)(75, 122)(76, 124)(77, 125)(78, 118)(79, 127)(80, 128)(83, 131)(86, 137)(87, 138)(88, 139)(91, 142)(94, 147)(98, 154)(99, 155)(100, 156)(101, 157)(103, 160)(104, 161)(105, 163)(106, 164)(108, 167)(109, 169)(110, 170)(111, 172)(112, 173)(113, 174)(119, 180)(120, 181)(123, 183)(126, 186)(129, 182)(130, 177)(132, 184)(133, 178)(134, 185)(135, 175)(136, 195)(140, 202)(141, 203)(143, 206)(144, 207)(145, 209)(146, 210)(148, 213)(149, 215)(150, 216)(151, 218)(152, 219)(153, 220)(158, 222)(159, 223)(162, 224)(165, 225)(166, 226)(168, 229)(171, 233)(176, 237)(179, 239)(187, 243)(188, 236)(189, 245)(190, 234)(191, 232)(192, 235)(193, 227)(194, 230)(196, 246)(197, 248)(198, 249)(199, 251)(200, 252)(201, 253)(204, 255)(205, 256)(208, 257)(211, 258)(212, 259)(214, 261)(217, 263)(221, 264)(228, 268)(231, 269)(238, 271)(240, 247)(241, 250)(242, 265)(244, 266)(254, 274)(260, 275)(262, 276)(267, 277)(270, 279)(272, 280)(273, 281)(278, 284)(282, 286)(283, 287)(285, 288)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 72 e = 144 f = 36
	degree seq :: [ 4^72 ]

E19.2376 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
Aut   = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
|r| :: 1
Presentation :: [ X1^2, X2^4, X2^4, (X1 * X2^-1 * X1 * X2^-2 * X1 * X2)^2, X2 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1, (X2^-1 * X1)^8, (X2^-1 * X1 * X2^-1)^6, X2^-2 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2 * X1 * X2^2 * X1 * X2 * X1 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 10)(6, 12)(8, 15)(11, 20)(13, 23)(14, 25)(16, 28)(17, 30)(18, 31)(19, 33)(21, 36)(22, 38)(24, 41)(26, 44)(27, 46)(29, 49)(32, 54)(34, 57)(35, 59)(37, 62)(39, 65)(40, 67)(42, 70)(43, 72)(45, 75)(47, 78)(48, 80)(50, 83)(51, 85)(52, 86)(53, 88)(55, 91)(56, 93)(58, 96)(60, 99)(61, 101)(63, 104)(64, 106)(66, 109)(68, 112)(69, 114)(71, 95)(73, 119)(74, 92)(76, 123)(77, 125)(79, 128)(81, 102)(82, 130)(84, 133)(87, 138)(89, 141)(90, 143)(94, 148)(97, 152)(98, 154)(100, 157)(103, 159)(105, 162)(107, 164)(108, 144)(110, 168)(111, 140)(113, 171)(115, 137)(116, 145)(117, 156)(118, 161)(120, 178)(121, 179)(122, 181)(124, 170)(126, 155)(127, 146)(129, 189)(131, 160)(132, 147)(134, 163)(135, 136)(139, 198)(142, 201)(149, 208)(150, 209)(151, 211)(153, 200)(158, 219)(165, 214)(166, 203)(167, 221)(169, 218)(172, 223)(173, 196)(174, 232)(175, 233)(176, 222)(177, 226)(180, 210)(182, 224)(183, 227)(184, 195)(185, 216)(186, 215)(187, 242)(188, 199)(190, 244)(191, 197)(192, 206)(193, 202)(194, 212)(204, 253)(205, 254)(207, 247)(213, 248)(217, 263)(220, 265)(225, 255)(228, 249)(229, 268)(230, 261)(231, 252)(234, 246)(235, 266)(236, 257)(237, 270)(238, 271)(239, 262)(240, 251)(241, 260)(243, 269)(245, 256)(250, 273)(258, 275)(259, 276)(264, 274)(267, 277)(272, 280)(278, 284)(279, 283)(281, 286)(282, 285)(287, 288)(289, 291, 296, 292)(290, 293, 299, 294)(295, 301, 312, 302)(297, 304, 317, 305)(298, 306, 320, 307)(300, 309, 325, 310)(303, 314, 333, 315)(308, 322, 346, 323)(311, 327, 354, 328)(313, 330, 359, 331)(316, 335, 367, 336)(318, 338, 372, 339)(319, 340, 375, 341)(321, 343, 380, 344)(324, 348, 388, 349)(326, 351, 393, 352)(329, 356, 401, 357)(332, 361, 408, 362)(334, 364, 412, 365)(337, 369, 417, 370)(342, 377, 430, 378)(345, 382, 437, 383)(347, 385, 441, 386)(350, 390, 446, 391)(353, 395, 453, 396)(355, 398, 368, 399)(358, 403, 462, 404)(360, 405, 463, 406)(363, 409, 468, 410)(366, 414, 474, 415)(371, 419, 480, 420)(373, 422, 482, 423)(374, 424, 483, 425)(376, 427, 389, 428)(379, 432, 492, 433)(381, 434, 493, 435)(384, 438, 498, 439)(387, 443, 504, 444)(392, 448, 510, 449)(394, 451, 512, 452)(397, 454, 513, 455)(400, 457, 516, 458)(402, 460, 519, 461)(407, 464, 522, 465)(411, 470, 528, 471)(413, 472, 529, 473)(416, 475, 531, 476)(418, 478, 533, 479)(421, 467, 525, 481)(426, 484, 534, 485)(429, 487, 537, 488)(431, 490, 540, 491)(436, 494, 543, 495)(440, 500, 549, 501)(442, 502, 550, 503)(445, 505, 552, 506)(447, 508, 554, 509)(450, 497, 546, 511)(456, 514, 555, 515)(459, 517, 477, 518)(466, 523, 551, 524)(469, 526, 553, 527)(486, 535, 560, 536)(489, 538, 507, 539)(496, 544, 530, 545)(499, 547, 532, 548)(520, 557, 567, 558)(521, 556, 566, 559)(541, 562, 570, 563)(542, 561, 569, 564)(565, 571, 575, 572)(568, 573, 576, 574)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 216 e = 288 f = 36
	degree seq :: [ 2^144, 4^72 ]

E19.2377 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
Aut   = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
|r| :: 1
Presentation :: [ (X1 * X2)^2, X1^4, X2^8, X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2^-2 * X1 * X2^-1 * X1^-1, X1^-1 * X2^-1 * X1 * X2^3 * X1^-1 * X2^4 * X1^-1, (X2^-1 * X1)^6, (X2^2 * X1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 6, 4)(3, 9, 21, 11)(5, 13, 18, 7)(8, 19, 34, 15)(10, 23, 49, 25)(12, 16, 35, 28)(14, 31, 62, 29)(17, 37, 76, 39)(20, 43, 85, 41)(22, 47, 92, 45)(24, 51, 103, 53)(26, 46, 93, 56)(27, 57, 114, 59)(30, 63, 83, 40)(32, 67, 130, 65)(33, 68, 134, 70)(36, 74, 143, 72)(38, 78, 153, 80)(42, 86, 141, 71)(44, 90, 173, 88)(48, 97, 183, 95)(50, 101, 135, 99)(52, 105, 172, 106)(54, 100, 188, 109)(55, 110, 147, 112)(58, 116, 203, 117)(60, 73, 144, 120)(61, 121, 191, 123)(64, 127, 207, 125)(66, 131, 140, 124)(69, 136, 215, 138)(75, 148, 228, 146)(77, 151, 115, 149)(79, 155, 227, 156)(81, 150, 231, 159)(82, 160, 96, 162)(84, 164, 233, 166)(87, 170, 243, 168)(89, 174, 119, 167)(91, 177, 249, 178)(94, 181, 252, 179)(98, 165, 129, 185)(102, 190, 234, 154)(104, 194, 250, 192)(107, 193, 128, 195)(108, 196, 246, 175)(111, 198, 260, 199)(113, 180, 221, 169)(118, 202, 253, 204)(122, 182, 217, 137)(126, 206, 225, 163)(132, 189, 256, 210)(133, 212, 242, 209)(139, 213, 265, 219)(142, 222, 267, 223)(145, 226, 273, 224)(152, 232, 268, 216)(157, 235, 171, 236)(158, 237, 200, 229)(161, 239, 197, 240)(176, 248, 272, 245)(184, 218, 269, 241)(186, 254, 201, 244)(187, 214, 266, 255)(205, 247, 270, 251)(208, 230, 274, 262)(211, 238, 271, 220)(257, 280, 259, 276)(258, 278, 264, 282)(261, 281, 284, 279)(263, 275, 285, 277)(283, 286, 288, 287)(289, 291, 298, 312, 340, 320, 302, 293)(290, 295, 305, 326, 367, 332, 308, 296)(292, 300, 315, 346, 386, 336, 310, 297)(294, 303, 321, 357, 425, 363, 324, 304)(299, 314, 343, 399, 479, 390, 338, 311)(301, 317, 349, 410, 426, 416, 352, 318)(306, 328, 370, 449, 521, 440, 365, 325)(307, 329, 372, 453, 405, 459, 375, 330)(309, 333, 379, 443, 368, 445, 382, 334)(313, 342, 396, 438, 364, 437, 392, 339)(316, 348, 407, 493, 537, 482, 403, 345)(319, 353, 417, 454, 528, 476, 420, 354)(322, 359, 428, 508, 555, 502, 423, 356)(323, 360, 430, 393, 341, 395, 433, 361)(327, 369, 446, 501, 422, 389, 442, 366)(331, 376, 460, 511, 559, 519, 463, 377)(335, 383, 470, 411, 487, 541, 472, 384)(337, 387, 475, 404, 347, 406, 477, 388)(344, 401, 489, 549, 554, 510, 431, 398)(350, 412, 429, 509, 560, 545, 478, 409)(351, 413, 464, 378, 444, 516, 496, 414)(355, 394, 461, 533, 468, 381, 467, 421)(358, 427, 506, 490, 402, 439, 504, 424)(362, 434, 515, 466, 539, 553, 517, 435)(371, 451, 530, 566, 538, 465, 380, 448)(373, 455, 408, 494, 550, 563, 520, 452)(374, 456, 518, 436, 505, 471, 532, 457)(385, 473, 418, 497, 513, 432, 512, 474)(391, 480, 546, 486, 400, 488, 415, 481)(397, 485, 547, 571, 552, 500, 540, 484)(419, 498, 514, 483, 503, 556, 551, 499)(441, 522, 564, 527, 450, 529, 458, 523)(447, 526, 565, 574, 568, 536, 495, 525)(462, 534, 469, 524, 491, 543, 567, 535)(492, 548, 570, 575, 569, 542, 561, 544)(507, 558, 572, 576, 573, 562, 531, 557)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 4^72, 8^36 ]

E19.2378 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
Aut   = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^4, X1^8, X2 * X1^-3 * X2 * X1 * X2 * X1^-1 * X2 * X1^3, (X2 * X1^-2 * X2 * X1^2)^2, (X2 * X1^-3)^4 ]
Map:: polytopal
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 57, 37, 18, 8)(6, 13, 27, 51, 92, 56, 30, 14)(9, 19, 38, 69, 121, 74, 40, 20)(12, 25, 47, 86, 143, 91, 50, 26)(16, 33, 61, 108, 171, 111, 63, 34)(17, 35, 64, 112, 158, 97, 53, 28)(21, 41, 75, 128, 189, 131, 77, 42)(24, 45, 82, 138, 106, 62, 85, 46)(29, 54, 98, 58, 104, 148, 88, 48)(32, 59, 105, 168, 213, 151, 90, 60)(36, 66, 116, 152, 214, 180, 118, 67)(39, 71, 123, 184, 240, 185, 124, 72)(43, 78, 132, 193, 208, 147, 133, 79)(44, 80, 134, 195, 155, 96, 137, 81)(49, 89, 149, 93, 153, 202, 140, 83)(52, 94, 154, 216, 256, 205, 142, 95)(55, 100, 70, 122, 183, 223, 163, 101)(65, 114, 177, 235, 249, 212, 150, 115)(68, 119, 136, 197, 248, 199, 181, 120)(73, 125, 166, 103, 165, 225, 187, 126)(76, 129, 190, 243, 247, 224, 164, 102)(84, 141, 203, 144, 206, 188, 127, 135)(87, 145, 207, 258, 276, 250, 198, 146)(99, 160, 109, 173, 231, 255, 204, 161)(107, 170, 230, 172, 222, 267, 226, 167)(110, 174, 113, 176, 234, 262, 215, 156)(117, 178, 217, 264, 242, 271, 233, 175)(130, 191, 196, 182, 232, 270, 245, 192)(139, 200, 251, 277, 275, 246, 194, 201)(157, 218, 159, 220, 266, 227, 257, 209)(162, 221, 259, 237, 179, 236, 265, 219)(169, 228, 269, 283, 274, 241, 186, 229)(210, 260, 211, 261, 280, 263, 238, 252)(239, 254, 278, 285, 279, 268, 244, 253)(272, 281, 286, 288, 287, 284, 273, 282)(289, 291)(290, 294)(292, 297)(293, 300)(295, 304)(296, 305)(298, 309)(299, 312)(301, 316)(302, 317)(303, 320)(306, 324)(307, 327)(308, 321)(310, 331)(311, 332)(313, 336)(314, 337)(315, 340)(318, 343)(319, 346)(322, 350)(323, 353)(325, 356)(326, 358)(328, 361)(329, 364)(330, 359)(333, 371)(334, 372)(335, 375)(338, 378)(339, 381)(341, 384)(342, 387)(344, 390)(345, 391)(347, 394)(348, 395)(349, 397)(351, 398)(352, 401)(354, 405)(355, 402)(357, 400)(360, 379)(362, 415)(363, 404)(365, 418)(366, 407)(367, 417)(368, 423)(369, 424)(370, 427)(373, 430)(374, 432)(376, 435)(377, 438)(380, 440)(382, 443)(383, 444)(385, 445)(386, 447)(388, 450)(389, 448)(392, 455)(393, 457)(396, 460)(399, 463)(403, 439)(406, 467)(408, 466)(409, 470)(410, 431)(411, 465)(412, 458)(413, 474)(414, 461)(416, 459)(419, 428)(420, 454)(421, 482)(422, 484)(425, 486)(426, 487)(429, 492)(433, 496)(434, 497)(436, 498)(437, 499)(441, 503)(442, 505)(446, 507)(449, 493)(451, 510)(452, 509)(453, 506)(456, 515)(462, 520)(464, 501)(468, 514)(469, 526)(471, 527)(472, 525)(473, 529)(475, 530)(476, 517)(477, 488)(478, 519)(479, 532)(480, 523)(481, 528)(483, 535)(485, 537)(489, 540)(490, 541)(491, 542)(494, 545)(495, 547)(500, 538)(502, 548)(504, 551)(508, 544)(511, 550)(512, 556)(513, 553)(516, 536)(518, 539)(521, 558)(522, 560)(524, 561)(531, 552)(533, 557)(534, 543)(546, 567)(549, 564)(554, 569)(555, 570)(559, 572)(562, 565)(563, 566)(568, 574)(571, 575)(573, 576)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: chiral
Dual of E19.2380
Transitivity :: ET+
Graph:: simple bipartite
	v = 180 e = 288 f = 72
	degree seq :: [ 2^144, 8^36 ]

E19.2379 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
Aut   = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
|r| :: 1
Presentation :: [ X1^2, X2^4, X2^4, (X1 * X2^-1 * X1 * X2^-2 * X1 * X2)^2, X2 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1, (X2^-1 * X1)^8, (X2^-1 * X1 * X2^-1)^6, X2^-2 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2 * X1 * X2^2 * X1 * X2 * X1 ]
Map:: polyhedral non-degenerate
	R = (1, 289, 2, 290)(3, 291, 7, 295)(4, 292, 9, 297)(5, 293, 10, 298)(6, 294, 12, 300)(8, 296, 15, 303)(11, 299, 20, 308)(13, 301, 23, 311)(14, 302, 25, 313)(16, 304, 28, 316)(17, 305, 30, 318)(18, 306, 31, 319)(19, 307, 33, 321)(21, 309, 36, 324)(22, 310, 38, 326)(24, 312, 41, 329)(26, 314, 44, 332)(27, 315, 46, 334)(29, 317, 49, 337)(32, 320, 54, 342)(34, 322, 57, 345)(35, 323, 59, 347)(37, 325, 62, 350)(39, 327, 65, 353)(40, 328, 67, 355)(42, 330, 70, 358)(43, 331, 72, 360)(45, 333, 75, 363)(47, 335, 78, 366)(48, 336, 80, 368)(50, 338, 83, 371)(51, 339, 85, 373)(52, 340, 86, 374)(53, 341, 88, 376)(55, 343, 91, 379)(56, 344, 93, 381)(58, 346, 96, 384)(60, 348, 99, 387)(61, 349, 101, 389)(63, 351, 104, 392)(64, 352, 106, 394)(66, 354, 109, 397)(68, 356, 112, 400)(69, 357, 114, 402)(71, 359, 95, 383)(73, 361, 119, 407)(74, 362, 92, 380)(76, 364, 123, 411)(77, 365, 125, 413)(79, 367, 128, 416)(81, 369, 102, 390)(82, 370, 130, 418)(84, 372, 133, 421)(87, 375, 138, 426)(89, 377, 141, 429)(90, 378, 143, 431)(94, 382, 148, 436)(97, 385, 152, 440)(98, 386, 154, 442)(100, 388, 157, 445)(103, 391, 159, 447)(105, 393, 162, 450)(107, 395, 164, 452)(108, 396, 144, 432)(110, 398, 168, 456)(111, 399, 140, 428)(113, 401, 171, 459)(115, 403, 137, 425)(116, 404, 145, 433)(117, 405, 156, 444)(118, 406, 161, 449)(120, 408, 178, 466)(121, 409, 179, 467)(122, 410, 181, 469)(124, 412, 170, 458)(126, 414, 155, 443)(127, 415, 146, 434)(129, 417, 189, 477)(131, 419, 160, 448)(132, 420, 147, 435)(134, 422, 163, 451)(135, 423, 136, 424)(139, 427, 198, 486)(142, 430, 201, 489)(149, 437, 208, 496)(150, 438, 209, 497)(151, 439, 211, 499)(153, 441, 200, 488)(158, 446, 219, 507)(165, 453, 214, 502)(166, 454, 203, 491)(167, 455, 221, 509)(169, 457, 218, 506)(172, 460, 223, 511)(173, 461, 196, 484)(174, 462, 232, 520)(175, 463, 233, 521)(176, 464, 222, 510)(177, 465, 226, 514)(180, 468, 210, 498)(182, 470, 224, 512)(183, 471, 227, 515)(184, 472, 195, 483)(185, 473, 216, 504)(186, 474, 215, 503)(187, 475, 242, 530)(188, 476, 199, 487)(190, 478, 244, 532)(191, 479, 197, 485)(192, 480, 206, 494)(193, 481, 202, 490)(194, 482, 212, 500)(204, 492, 253, 541)(205, 493, 254, 542)(207, 495, 247, 535)(213, 501, 248, 536)(217, 505, 263, 551)(220, 508, 265, 553)(225, 513, 255, 543)(228, 516, 249, 537)(229, 517, 268, 556)(230, 518, 261, 549)(231, 519, 252, 540)(234, 522, 246, 534)(235, 523, 266, 554)(236, 524, 257, 545)(237, 525, 270, 558)(238, 526, 271, 559)(239, 527, 262, 550)(240, 528, 251, 539)(241, 529, 260, 548)(243, 531, 269, 557)(245, 533, 256, 544)(250, 538, 273, 561)(258, 546, 275, 563)(259, 547, 276, 564)(264, 552, 274, 562)(267, 555, 277, 565)(272, 560, 280, 568)(278, 566, 284, 572)(279, 567, 283, 571)(281, 569, 286, 574)(282, 570, 285, 573)(287, 575, 288, 576)
	L = (1, 291)(2, 293)(3, 296)(4, 289)(5, 299)(6, 290)(7, 301)(8, 292)(9, 304)(10, 306)(11, 294)(12, 309)(13, 312)(14, 295)(15, 314)(16, 317)(17, 297)(18, 320)(19, 298)(20, 322)(21, 325)(22, 300)(23, 327)(24, 302)(25, 330)(26, 333)(27, 303)(28, 335)(29, 305)(30, 338)(31, 340)(32, 307)(33, 343)(34, 346)(35, 308)(36, 348)(37, 310)(38, 351)(39, 354)(40, 311)(41, 356)(42, 359)(43, 313)(44, 361)(45, 315)(46, 364)(47, 367)(48, 316)(49, 369)(50, 372)(51, 318)(52, 375)(53, 319)(54, 377)(55, 380)(56, 321)(57, 382)(58, 323)(59, 385)(60, 388)(61, 324)(62, 390)(63, 393)(64, 326)(65, 395)(66, 328)(67, 398)(68, 401)(69, 329)(70, 403)(71, 331)(72, 405)(73, 408)(74, 332)(75, 409)(76, 412)(77, 334)(78, 414)(79, 336)(80, 399)(81, 417)(82, 337)(83, 419)(84, 339)(85, 422)(86, 424)(87, 341)(88, 427)(89, 430)(90, 342)(91, 432)(92, 344)(93, 434)(94, 437)(95, 345)(96, 438)(97, 441)(98, 347)(99, 443)(100, 349)(101, 428)(102, 446)(103, 350)(104, 448)(105, 352)(106, 451)(107, 453)(108, 353)(109, 454)(110, 368)(111, 355)(112, 457)(113, 357)(114, 460)(115, 462)(116, 358)(117, 463)(118, 360)(119, 464)(120, 362)(121, 468)(122, 363)(123, 470)(124, 365)(125, 472)(126, 474)(127, 366)(128, 475)(129, 370)(130, 478)(131, 480)(132, 371)(133, 467)(134, 482)(135, 373)(136, 483)(137, 374)(138, 484)(139, 389)(140, 376)(141, 487)(142, 378)(143, 490)(144, 492)(145, 379)(146, 493)(147, 381)(148, 494)(149, 383)(150, 498)(151, 384)(152, 500)(153, 386)(154, 502)(155, 504)(156, 387)(157, 505)(158, 391)(159, 508)(160, 510)(161, 392)(162, 497)(163, 512)(164, 394)(165, 396)(166, 513)(167, 397)(168, 514)(169, 516)(170, 400)(171, 517)(172, 519)(173, 402)(174, 404)(175, 406)(176, 522)(177, 407)(178, 523)(179, 525)(180, 410)(181, 526)(182, 528)(183, 411)(184, 529)(185, 413)(186, 415)(187, 531)(188, 416)(189, 518)(190, 533)(191, 418)(192, 420)(193, 421)(194, 423)(195, 425)(196, 534)(197, 426)(198, 535)(199, 537)(200, 429)(201, 538)(202, 540)(203, 431)(204, 433)(205, 435)(206, 543)(207, 436)(208, 544)(209, 546)(210, 439)(211, 547)(212, 549)(213, 440)(214, 550)(215, 442)(216, 444)(217, 552)(218, 445)(219, 539)(220, 554)(221, 447)(222, 449)(223, 450)(224, 452)(225, 455)(226, 555)(227, 456)(228, 458)(229, 477)(230, 459)(231, 461)(232, 557)(233, 556)(234, 465)(235, 551)(236, 466)(237, 481)(238, 553)(239, 469)(240, 471)(241, 473)(242, 545)(243, 476)(244, 548)(245, 479)(246, 485)(247, 560)(248, 486)(249, 488)(250, 507)(251, 489)(252, 491)(253, 562)(254, 561)(255, 495)(256, 530)(257, 496)(258, 511)(259, 532)(260, 499)(261, 501)(262, 503)(263, 524)(264, 506)(265, 527)(266, 509)(267, 515)(268, 566)(269, 567)(270, 520)(271, 521)(272, 536)(273, 569)(274, 570)(275, 541)(276, 542)(277, 571)(278, 559)(279, 558)(280, 573)(281, 564)(282, 563)(283, 575)(284, 565)(285, 576)(286, 568)(287, 572)(288, 574)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2380 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
Aut   = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
|r| :: 1
Presentation :: [ (X1 * X2)^2, X1^4, X2^8, X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2^-2 * X1 * X2^-1 * X1^-1, X1^-1 * X2^-1 * X1 * X2^3 * X1^-1 * X2^4 * X1^-1, (X2^-1 * X1)^6, (X2^2 * X1^-1)^4 ]
Map::
	R = (1, 289, 2, 290, 6, 294, 4, 292)(3, 291, 9, 297, 21, 309, 11, 299)(5, 293, 13, 301, 18, 306, 7, 295)(8, 296, 19, 307, 34, 322, 15, 303)(10, 298, 23, 311, 49, 337, 25, 313)(12, 300, 16, 304, 35, 323, 28, 316)(14, 302, 31, 319, 62, 350, 29, 317)(17, 305, 37, 325, 76, 364, 39, 327)(20, 308, 43, 331, 85, 373, 41, 329)(22, 310, 47, 335, 92, 380, 45, 333)(24, 312, 51, 339, 103, 391, 53, 341)(26, 314, 46, 334, 93, 381, 56, 344)(27, 315, 57, 345, 114, 402, 59, 347)(30, 318, 63, 351, 83, 371, 40, 328)(32, 320, 67, 355, 130, 418, 65, 353)(33, 321, 68, 356, 134, 422, 70, 358)(36, 324, 74, 362, 143, 431, 72, 360)(38, 326, 78, 366, 153, 441, 80, 368)(42, 330, 86, 374, 141, 429, 71, 359)(44, 332, 90, 378, 173, 461, 88, 376)(48, 336, 97, 385, 183, 471, 95, 383)(50, 338, 101, 389, 135, 423, 99, 387)(52, 340, 105, 393, 172, 460, 106, 394)(54, 342, 100, 388, 188, 476, 109, 397)(55, 343, 110, 398, 147, 435, 112, 400)(58, 346, 116, 404, 203, 491, 117, 405)(60, 348, 73, 361, 144, 432, 120, 408)(61, 349, 121, 409, 191, 479, 123, 411)(64, 352, 127, 415, 207, 495, 125, 413)(66, 354, 131, 419, 140, 428, 124, 412)(69, 357, 136, 424, 215, 503, 138, 426)(75, 363, 148, 436, 228, 516, 146, 434)(77, 365, 151, 439, 115, 403, 149, 437)(79, 367, 155, 443, 227, 515, 156, 444)(81, 369, 150, 438, 231, 519, 159, 447)(82, 370, 160, 448, 96, 384, 162, 450)(84, 372, 164, 452, 233, 521, 166, 454)(87, 375, 170, 458, 243, 531, 168, 456)(89, 377, 174, 462, 119, 407, 167, 455)(91, 379, 177, 465, 249, 537, 178, 466)(94, 382, 181, 469, 252, 540, 179, 467)(98, 386, 165, 453, 129, 417, 185, 473)(102, 390, 190, 478, 234, 522, 154, 442)(104, 392, 194, 482, 250, 538, 192, 480)(107, 395, 193, 481, 128, 416, 195, 483)(108, 396, 196, 484, 246, 534, 175, 463)(111, 399, 198, 486, 260, 548, 199, 487)(113, 401, 180, 468, 221, 509, 169, 457)(118, 406, 202, 490, 253, 541, 204, 492)(122, 410, 182, 470, 217, 505, 137, 425)(126, 414, 206, 494, 225, 513, 163, 451)(132, 420, 189, 477, 256, 544, 210, 498)(133, 421, 212, 500, 242, 530, 209, 497)(139, 427, 213, 501, 265, 553, 219, 507)(142, 430, 222, 510, 267, 555, 223, 511)(145, 433, 226, 514, 273, 561, 224, 512)(152, 440, 232, 520, 268, 556, 216, 504)(157, 445, 235, 523, 171, 459, 236, 524)(158, 446, 237, 525, 200, 488, 229, 517)(161, 449, 239, 527, 197, 485, 240, 528)(176, 464, 248, 536, 272, 560, 245, 533)(184, 472, 218, 506, 269, 557, 241, 529)(186, 474, 254, 542, 201, 489, 244, 532)(187, 475, 214, 502, 266, 554, 255, 543)(205, 493, 247, 535, 270, 558, 251, 539)(208, 496, 230, 518, 274, 562, 262, 550)(211, 499, 238, 526, 271, 559, 220, 508)(257, 545, 280, 568, 259, 547, 276, 564)(258, 546, 278, 566, 264, 552, 282, 570)(261, 549, 281, 569, 284, 572, 279, 567)(263, 551, 275, 563, 285, 573, 277, 565)(283, 571, 286, 574, 288, 576, 287, 575)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 303)(7, 305)(8, 290)(9, 292)(10, 312)(11, 314)(12, 315)(13, 317)(14, 293)(15, 321)(16, 294)(17, 326)(18, 328)(19, 329)(20, 296)(21, 333)(22, 297)(23, 299)(24, 340)(25, 342)(26, 343)(27, 346)(28, 348)(29, 349)(30, 301)(31, 353)(32, 302)(33, 357)(34, 359)(35, 360)(36, 304)(37, 306)(38, 367)(39, 369)(40, 370)(41, 372)(42, 307)(43, 376)(44, 308)(45, 379)(46, 309)(47, 383)(48, 310)(49, 387)(50, 311)(51, 313)(52, 320)(53, 395)(54, 396)(55, 399)(56, 401)(57, 316)(58, 386)(59, 406)(60, 407)(61, 410)(62, 412)(63, 413)(64, 318)(65, 417)(66, 319)(67, 394)(68, 322)(69, 425)(70, 427)(71, 428)(72, 430)(73, 323)(74, 434)(75, 324)(76, 437)(77, 325)(78, 327)(79, 332)(80, 445)(81, 446)(82, 449)(83, 451)(84, 453)(85, 455)(86, 456)(87, 330)(88, 460)(89, 331)(90, 444)(91, 443)(92, 448)(93, 467)(94, 334)(95, 470)(96, 335)(97, 473)(98, 336)(99, 475)(100, 337)(101, 442)(102, 338)(103, 480)(104, 339)(105, 341)(106, 461)(107, 433)(108, 438)(109, 485)(110, 344)(111, 479)(112, 488)(113, 489)(114, 439)(115, 345)(116, 347)(117, 459)(118, 477)(119, 493)(120, 494)(121, 350)(122, 426)(123, 487)(124, 429)(125, 464)(126, 351)(127, 481)(128, 352)(129, 454)(130, 497)(131, 498)(132, 354)(133, 355)(134, 389)(135, 356)(136, 358)(137, 363)(138, 416)(139, 506)(140, 508)(141, 509)(142, 393)(143, 398)(144, 512)(145, 361)(146, 515)(147, 362)(148, 505)(149, 392)(150, 364)(151, 504)(152, 365)(153, 522)(154, 366)(155, 368)(156, 516)(157, 382)(158, 501)(159, 526)(160, 371)(161, 521)(162, 529)(163, 530)(164, 373)(165, 405)(166, 528)(167, 408)(168, 518)(169, 374)(170, 523)(171, 375)(172, 511)(173, 533)(174, 534)(175, 377)(176, 378)(177, 380)(178, 539)(179, 421)(180, 381)(181, 524)(182, 411)(183, 532)(184, 384)(185, 418)(186, 385)(187, 404)(188, 420)(189, 388)(190, 409)(191, 390)(192, 546)(193, 391)(194, 403)(195, 503)(196, 397)(197, 547)(198, 400)(199, 541)(200, 415)(201, 549)(202, 402)(203, 543)(204, 548)(205, 537)(206, 550)(207, 525)(208, 414)(209, 513)(210, 514)(211, 419)(212, 540)(213, 422)(214, 423)(215, 556)(216, 424)(217, 471)(218, 490)(219, 558)(220, 555)(221, 560)(222, 431)(223, 559)(224, 474)(225, 432)(226, 483)(227, 466)(228, 496)(229, 435)(230, 436)(231, 463)(232, 452)(233, 440)(234, 564)(235, 441)(236, 491)(237, 447)(238, 565)(239, 450)(240, 476)(241, 458)(242, 566)(243, 557)(244, 457)(245, 468)(246, 469)(247, 462)(248, 495)(249, 482)(250, 465)(251, 553)(252, 484)(253, 472)(254, 561)(255, 567)(256, 492)(257, 478)(258, 486)(259, 571)(260, 570)(261, 554)(262, 563)(263, 499)(264, 500)(265, 517)(266, 510)(267, 502)(268, 551)(269, 507)(270, 572)(271, 519)(272, 545)(273, 544)(274, 531)(275, 520)(276, 527)(277, 574)(278, 538)(279, 535)(280, 536)(281, 542)(282, 575)(283, 552)(284, 576)(285, 562)(286, 568)(287, 569)(288, 573)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Dual of E19.2378
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 72 e = 288 f = 180
	degree seq :: [ 8^72 ]

E19.2381 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
Aut   = (C2 x ((C3 x C3) : C8)) : C2 (small group id <288, 841>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^4, X1^8, X2 * X1^-3 * X2 * X1 * X2 * X1^-1 * X2 * X1^3, (X2 * X1^-2 * X2 * X1^2)^2, (X2 * X1^-3)^4 ]
Map::
	R = (1, 289, 2, 290, 5, 293, 11, 299, 23, 311, 22, 310, 10, 298, 4, 292)(3, 291, 7, 295, 15, 303, 31, 319, 57, 345, 37, 325, 18, 306, 8, 296)(6, 294, 13, 301, 27, 315, 51, 339, 92, 380, 56, 344, 30, 318, 14, 302)(9, 297, 19, 307, 38, 326, 69, 357, 121, 409, 74, 362, 40, 328, 20, 308)(12, 300, 25, 313, 47, 335, 86, 374, 143, 431, 91, 379, 50, 338, 26, 314)(16, 304, 33, 321, 61, 349, 108, 396, 171, 459, 111, 399, 63, 351, 34, 322)(17, 305, 35, 323, 64, 352, 112, 400, 158, 446, 97, 385, 53, 341, 28, 316)(21, 309, 41, 329, 75, 363, 128, 416, 189, 477, 131, 419, 77, 365, 42, 330)(24, 312, 45, 333, 82, 370, 138, 426, 106, 394, 62, 350, 85, 373, 46, 334)(29, 317, 54, 342, 98, 386, 58, 346, 104, 392, 148, 436, 88, 376, 48, 336)(32, 320, 59, 347, 105, 393, 168, 456, 213, 501, 151, 439, 90, 378, 60, 348)(36, 324, 66, 354, 116, 404, 152, 440, 214, 502, 180, 468, 118, 406, 67, 355)(39, 327, 71, 359, 123, 411, 184, 472, 240, 528, 185, 473, 124, 412, 72, 360)(43, 331, 78, 366, 132, 420, 193, 481, 208, 496, 147, 435, 133, 421, 79, 367)(44, 332, 80, 368, 134, 422, 195, 483, 155, 443, 96, 384, 137, 425, 81, 369)(49, 337, 89, 377, 149, 437, 93, 381, 153, 441, 202, 490, 140, 428, 83, 371)(52, 340, 94, 382, 154, 442, 216, 504, 256, 544, 205, 493, 142, 430, 95, 383)(55, 343, 100, 388, 70, 358, 122, 410, 183, 471, 223, 511, 163, 451, 101, 389)(65, 353, 114, 402, 177, 465, 235, 523, 249, 537, 212, 500, 150, 438, 115, 403)(68, 356, 119, 407, 136, 424, 197, 485, 248, 536, 199, 487, 181, 469, 120, 408)(73, 361, 125, 413, 166, 454, 103, 391, 165, 453, 225, 513, 187, 475, 126, 414)(76, 364, 129, 417, 190, 478, 243, 531, 247, 535, 224, 512, 164, 452, 102, 390)(84, 372, 141, 429, 203, 491, 144, 432, 206, 494, 188, 476, 127, 415, 135, 423)(87, 375, 145, 433, 207, 495, 258, 546, 276, 564, 250, 538, 198, 486, 146, 434)(99, 387, 160, 448, 109, 397, 173, 461, 231, 519, 255, 543, 204, 492, 161, 449)(107, 395, 170, 458, 230, 518, 172, 460, 222, 510, 267, 555, 226, 514, 167, 455)(110, 398, 174, 462, 113, 401, 176, 464, 234, 522, 262, 550, 215, 503, 156, 444)(117, 405, 178, 466, 217, 505, 264, 552, 242, 530, 271, 559, 233, 521, 175, 463)(130, 418, 191, 479, 196, 484, 182, 470, 232, 520, 270, 558, 245, 533, 192, 480)(139, 427, 200, 488, 251, 539, 277, 565, 275, 563, 246, 534, 194, 482, 201, 489)(157, 445, 218, 506, 159, 447, 220, 508, 266, 554, 227, 515, 257, 545, 209, 497)(162, 450, 221, 509, 259, 547, 237, 525, 179, 467, 236, 524, 265, 553, 219, 507)(169, 457, 228, 516, 269, 557, 283, 571, 274, 562, 241, 529, 186, 474, 229, 517)(210, 498, 260, 548, 211, 499, 261, 549, 280, 568, 263, 551, 238, 526, 252, 540)(239, 527, 254, 542, 278, 566, 285, 573, 279, 567, 268, 556, 244, 532, 253, 541)(272, 560, 281, 569, 286, 574, 288, 576, 287, 575, 284, 572, 273, 561, 282, 570)
	L = (1, 291)(2, 294)(3, 289)(4, 297)(5, 300)(6, 290)(7, 304)(8, 305)(9, 292)(10, 309)(11, 312)(12, 293)(13, 316)(14, 317)(15, 320)(16, 295)(17, 296)(18, 324)(19, 327)(20, 321)(21, 298)(22, 331)(23, 332)(24, 299)(25, 336)(26, 337)(27, 340)(28, 301)(29, 302)(30, 343)(31, 346)(32, 303)(33, 308)(34, 350)(35, 353)(36, 306)(37, 356)(38, 358)(39, 307)(40, 361)(41, 364)(42, 359)(43, 310)(44, 311)(45, 371)(46, 372)(47, 375)(48, 313)(49, 314)(50, 378)(51, 381)(52, 315)(53, 384)(54, 387)(55, 318)(56, 390)(57, 391)(58, 319)(59, 394)(60, 395)(61, 397)(62, 322)(63, 398)(64, 401)(65, 323)(66, 405)(67, 402)(68, 325)(69, 400)(70, 326)(71, 330)(72, 379)(73, 328)(74, 415)(75, 404)(76, 329)(77, 418)(78, 407)(79, 417)(80, 423)(81, 424)(82, 427)(83, 333)(84, 334)(85, 430)(86, 432)(87, 335)(88, 435)(89, 438)(90, 338)(91, 360)(92, 440)(93, 339)(94, 443)(95, 444)(96, 341)(97, 445)(98, 447)(99, 342)(100, 450)(101, 448)(102, 344)(103, 345)(104, 455)(105, 457)(106, 347)(107, 348)(108, 460)(109, 349)(110, 351)(111, 463)(112, 357)(113, 352)(114, 355)(115, 439)(116, 363)(117, 354)(118, 467)(119, 366)(120, 466)(121, 470)(122, 431)(123, 465)(124, 458)(125, 474)(126, 461)(127, 362)(128, 459)(129, 367)(130, 365)(131, 428)(132, 454)(133, 482)(134, 484)(135, 368)(136, 369)(137, 486)(138, 487)(139, 370)(140, 419)(141, 492)(142, 373)(143, 410)(144, 374)(145, 496)(146, 497)(147, 376)(148, 498)(149, 499)(150, 377)(151, 403)(152, 380)(153, 503)(154, 505)(155, 382)(156, 383)(157, 385)(158, 507)(159, 386)(160, 389)(161, 493)(162, 388)(163, 510)(164, 509)(165, 506)(166, 420)(167, 392)(168, 515)(169, 393)(170, 412)(171, 416)(172, 396)(173, 414)(174, 520)(175, 399)(176, 501)(177, 411)(178, 408)(179, 406)(180, 514)(181, 526)(182, 409)(183, 527)(184, 525)(185, 529)(186, 413)(187, 530)(188, 517)(189, 488)(190, 519)(191, 532)(192, 523)(193, 528)(194, 421)(195, 535)(196, 422)(197, 537)(198, 425)(199, 426)(200, 477)(201, 540)(202, 541)(203, 542)(204, 429)(205, 449)(206, 545)(207, 547)(208, 433)(209, 434)(210, 436)(211, 437)(212, 538)(213, 464)(214, 548)(215, 441)(216, 551)(217, 442)(218, 453)(219, 446)(220, 544)(221, 452)(222, 451)(223, 550)(224, 556)(225, 553)(226, 468)(227, 456)(228, 536)(229, 476)(230, 539)(231, 478)(232, 462)(233, 558)(234, 560)(235, 480)(236, 561)(237, 472)(238, 469)(239, 471)(240, 481)(241, 473)(242, 475)(243, 552)(244, 479)(245, 557)(246, 543)(247, 483)(248, 516)(249, 485)(250, 500)(251, 518)(252, 489)(253, 490)(254, 491)(255, 534)(256, 508)(257, 494)(258, 567)(259, 495)(260, 502)(261, 564)(262, 511)(263, 504)(264, 531)(265, 513)(266, 569)(267, 570)(268, 512)(269, 533)(270, 521)(271, 572)(272, 522)(273, 524)(274, 565)(275, 566)(276, 549)(277, 562)(278, 563)(279, 546)(280, 574)(281, 554)(282, 555)(283, 575)(284, 559)(285, 576)(286, 568)(287, 571)(288, 573)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 36 e = 288 f = 216
	degree seq :: [ 16^36 ]

E19.2382 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 24})
Quotient :: regular
Aut^+ = C3 x (((C4 x C4) : C3) : C2) (small group id <288, 397>)
Aut   = $<576, 5053>$ (small group id <576, 5053>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T2 * T1^8 * T2 * T1^-8, (T2 * T1^-4 * T2 * T1^4)^2, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 97, 141, 193, 246, 280, 288, 287, 279, 245, 192, 140, 96, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 115, 167, 194, 248, 282, 252, 283, 256, 284, 272, 235, 179, 127, 87, 54, 31, 17, 8)(6, 13, 25, 43, 73, 109, 157, 211, 247, 219, 273, 242, 275, 243, 277, 244, 191, 218, 166, 114, 78, 46, 26, 14)(9, 18, 32, 55, 88, 128, 180, 196, 142, 195, 249, 202, 253, 209, 259, 234, 278, 228, 175, 122, 84, 51, 29, 16)(12, 23, 41, 69, 105, 152, 207, 257, 281, 261, 238, 181, 237, 186, 240, 189, 139, 190, 210, 156, 108, 72, 42, 24)(19, 34, 58, 91, 133, 184, 198, 144, 98, 143, 197, 150, 204, 165, 216, 269, 286, 266, 214, 161, 111, 74, 57, 33)(22, 39, 67, 53, 85, 123, 176, 229, 274, 222, 170, 116, 169, 134, 173, 137, 95, 138, 188, 206, 151, 104, 68, 40)(28, 49, 70, 45, 76, 103, 149, 199, 251, 236, 263, 212, 262, 230, 265, 232, 178, 233, 260, 226, 174, 120, 83, 50)(30, 52, 71, 106, 147, 201, 250, 221, 168, 220, 258, 224, 268, 227, 270, 217, 271, 241, 183, 132, 90, 56, 75, 44)(35, 60, 92, 135, 185, 200, 146, 100, 64, 99, 145, 107, 154, 126, 177, 231, 276, 225, 172, 119, 82, 48, 81, 59)(38, 65, 101, 77, 112, 162, 215, 267, 285, 264, 213, 158, 131, 89, 130, 93, 61, 94, 136, 187, 203, 148, 102, 66)(80, 117, 153, 121, 163, 113, 164, 205, 255, 239, 182, 129, 160, 110, 159, 124, 86, 125, 155, 208, 254, 223, 171, 118)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 69)(52, 67)(54, 86)(55, 89)(57, 75)(58, 83)(60, 93)(62, 95)(63, 98)(66, 99)(68, 103)(72, 107)(73, 110)(76, 101)(78, 113)(79, 116)(82, 117)(84, 121)(85, 124)(87, 126)(88, 129)(90, 130)(91, 134)(92, 132)(94, 137)(96, 139)(97, 142)(100, 143)(102, 147)(104, 150)(105, 153)(106, 145)(108, 155)(109, 158)(111, 159)(112, 163)(114, 165)(115, 168)(118, 169)(119, 152)(120, 173)(122, 162)(123, 161)(125, 154)(127, 178)(128, 181)(131, 160)(133, 171)(135, 186)(136, 174)(138, 189)(140, 191)(141, 194)(144, 195)(146, 199)(148, 202)(149, 197)(151, 205)(156, 209)(157, 212)(164, 204)(166, 217)(167, 219)(170, 220)(172, 224)(175, 227)(176, 230)(177, 232)(179, 234)(180, 236)(182, 237)(183, 240)(184, 242)(185, 239)(187, 243)(188, 241)(190, 244)(192, 235)(193, 247)(196, 248)(198, 250)(200, 252)(201, 249)(203, 254)(206, 256)(207, 258)(208, 253)(210, 260)(211, 261)(213, 262)(214, 265)(215, 268)(216, 270)(218, 272)(221, 273)(222, 257)(223, 275)(225, 267)(226, 277)(228, 269)(229, 264)(231, 266)(233, 259)(238, 263)(245, 278)(246, 281)(251, 282)(255, 283)(271, 284)(274, 280)(276, 287)(279, 286)(285, 288)
	local type(s) :: { ( 3^24 ) }
Outer automorphisms :: reflexible
Dual of E19.2383
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 12 e = 144 f = 96
	degree seq :: [ 24^12 ]

E19.2383 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 24})
Quotient :: regular
Aut^+ = C3 x (((C4 x C4) : C3) : C2) (small group id <288, 397>)
Aut   = $<576, 5053>$ (small group id <576, 5053>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^3, 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 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 37, 41)(29, 42, 43)(30, 44, 45)(35, 49, 50)(36, 47, 51)(38, 52, 53)(46, 60, 61)(48, 62, 63)(54, 69, 70)(55, 58, 71)(56, 72, 73)(57, 74, 75)(59, 76, 77)(64, 82, 83)(65, 67, 84)(66, 85, 86)(68, 87, 88)(78, 98, 99)(79, 80, 100)(81, 101, 102)(89, 110, 111)(90, 92, 112)(91, 113, 114)(93, 108, 115)(94, 116, 117)(95, 96, 118)(97, 119, 120)(103, 204, 270)(104, 106, 206)(105, 175, 221)(107, 123, 223)(109, 137, 197)(121, 220, 277)(122, 161, 194)(124, 131, 196)(125, 187, 183)(126, 171, 182)(127, 198, 173)(128, 178, 191)(129, 207, 157)(130, 163, 167)(132, 224, 165)(133, 149, 174)(134, 192, 145)(135, 236, 180)(136, 155, 160)(138, 202, 151)(139, 241, 189)(140, 143, 184)(141, 146, 152)(142, 186, 213)(144, 237, 200)(147, 168, 244)(148, 219, 159)(150, 233, 216)(153, 176, 217)(154, 239, 158)(156, 228, 212)(162, 232, 166)(164, 230, 252)(169, 226, 190)(170, 229, 181)(172, 235, 255)(177, 227, 201)(179, 240, 210)(185, 260, 211)(188, 245, 262)(193, 265, 242)(195, 231, 218)(199, 247, 267)(203, 269, 215)(205, 234, 214)(208, 249, 272)(209, 257, 273)(222, 238, 278)(225, 251, 280)(243, 287, 275)(246, 285, 274)(248, 284, 288)(250, 279, 286)(253, 266, 283)(254, 281, 263)(256, 271, 276)(258, 261, 282)(259, 264, 268)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 46)(32, 43)(33, 47)(34, 48)(39, 54)(40, 55)(41, 56)(42, 57)(44, 58)(45, 59)(49, 64)(50, 65)(51, 66)(52, 67)(53, 68)(60, 78)(61, 79)(62, 80)(63, 81)(69, 89)(70, 90)(71, 91)(72, 92)(73, 93)(74, 94)(75, 95)(76, 96)(77, 97)(82, 103)(83, 104)(84, 105)(85, 106)(86, 107)(87, 108)(88, 109)(98, 121)(99, 117)(100, 122)(101, 123)(102, 124)(110, 209)(111, 210)(112, 211)(113, 179)(114, 189)(115, 213)(116, 215)(118, 217)(119, 139)(120, 191)(125, 127)(126, 129)(128, 132)(130, 134)(131, 135)(133, 138)(136, 143)(137, 144)(140, 148)(141, 149)(142, 150)(145, 154)(146, 155)(147, 156)(151, 162)(152, 163)(153, 164)(157, 168)(158, 169)(159, 170)(160, 171)(161, 172)(165, 176)(166, 177)(167, 178)(173, 186)(174, 187)(175, 188)(180, 194)(181, 195)(182, 196)(183, 197)(184, 198)(185, 199)(190, 205)(192, 207)(193, 208)(200, 221)(201, 222)(202, 224)(203, 225)(204, 258)(206, 242)(212, 265)(214, 274)(216, 260)(218, 275)(219, 236)(220, 263)(223, 244)(226, 228)(227, 230)(229, 233)(231, 235)(232, 237)(234, 240)(238, 245)(239, 241)(243, 247)(246, 249)(248, 251)(250, 254)(252, 269)(253, 257)(255, 277)(256, 261)(259, 266)(262, 270)(264, 271)(267, 273)(268, 279)(272, 282)(276, 284)(278, 288)(280, 281)(283, 285)(286, 287)
	local type(s) :: { ( 24^3 ) }
Outer automorphisms :: reflexible
Dual of E19.2382
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 96 e = 144 f = 12
	degree seq :: [ 3^96 ]

E19.2384 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 24})
Quotient :: edge
Aut^+ = C3 x (((C4 x C4) : C3) : C2) (small group id <288, 397>)
Aut   = $<576, 5053>$ (small group id <576, 5053>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2)^3, (T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, (T2^-1 * T1)^24 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 55, 56)(44, 47, 57)(45, 58, 59)(46, 60, 61)(48, 62, 63)(49, 64, 65)(50, 53, 66)(51, 67, 68)(52, 69, 70)(54, 71, 72)(73, 91, 92)(74, 76, 93)(75, 94, 95)(77, 96, 97)(78, 98, 99)(79, 80, 100)(81, 101, 102)(82, 103, 104)(83, 85, 105)(84, 106, 107)(86, 108, 109)(87, 110, 111)(88, 89, 112)(90, 113, 114)(115, 181, 248)(116, 118, 140)(117, 200, 180)(119, 123, 125)(120, 203, 139)(121, 183, 250)(122, 204, 160)(124, 206, 141)(126, 189, 196)(127, 208, 209)(128, 210, 211)(129, 212, 213)(130, 214, 215)(131, 216, 217)(132, 218, 219)(133, 220, 221)(134, 222, 223)(135, 224, 225)(136, 207, 226)(137, 227, 228)(138, 229, 199)(142, 192, 230)(143, 185, 188)(144, 198, 231)(145, 232, 233)(146, 178, 234)(147, 235, 194)(148, 236, 186)(149, 237, 238)(150, 239, 171)(151, 240, 241)(152, 169, 242)(153, 243, 182)(154, 244, 179)(155, 245, 246)(156, 247, 162)(157, 172, 249)(158, 195, 251)(159, 163, 253)(161, 255, 256)(164, 257, 258)(165, 259, 167)(166, 260, 261)(168, 262, 263)(170, 264, 265)(173, 266, 267)(174, 202, 176)(175, 268, 269)(177, 271, 272)(184, 191, 252)(187, 276, 190)(193, 197, 254)(201, 280, 281)(205, 273, 274)(270, 284, 288)(275, 278, 279)(277, 282, 283)(285, 286, 287)(289, 290)(291, 295)(292, 296)(293, 297)(294, 298)(299, 307)(300, 308)(301, 309)(302, 310)(303, 311)(304, 312)(305, 313)(306, 314)(315, 331)(316, 332)(317, 325)(318, 333)(319, 334)(320, 328)(321, 335)(322, 336)(323, 337)(324, 338)(326, 339)(327, 340)(329, 341)(330, 342)(343, 361)(344, 362)(345, 363)(346, 364)(347, 365)(348, 366)(349, 367)(350, 368)(351, 369)(352, 370)(353, 371)(354, 372)(355, 373)(356, 374)(357, 375)(358, 376)(359, 377)(360, 378)(379, 403)(380, 404)(381, 405)(382, 406)(383, 407)(384, 396)(385, 408)(386, 409)(387, 399)(388, 410)(389, 411)(390, 412)(391, 472)(392, 473)(393, 475)(394, 476)(395, 477)(397, 480)(398, 481)(400, 483)(401, 484)(402, 486)(413, 460)(414, 451)(415, 442)(416, 441)(417, 436)(418, 435)(419, 423)(420, 438)(421, 433)(422, 426)(424, 444)(425, 439)(427, 495)(428, 458)(429, 466)(430, 506)(431, 449)(432, 457)(434, 453)(437, 454)(440, 462)(443, 463)(445, 510)(446, 502)(447, 517)(448, 498)(450, 490)(452, 461)(455, 464)(456, 489)(459, 547)(465, 558)(467, 523)(468, 496)(469, 562)(470, 527)(471, 560)(474, 531)(478, 500)(479, 566)(482, 535)(485, 551)(487, 530)(488, 526)(491, 497)(492, 516)(493, 570)(494, 499)(501, 518)(503, 519)(504, 553)(505, 537)(507, 514)(508, 542)(509, 539)(511, 522)(512, 544)(513, 541)(515, 538)(520, 549)(521, 532)(524, 529)(525, 536)(528, 557)(533, 540)(534, 564)(543, 555)(545, 561)(546, 552)(548, 569)(550, 559)(554, 563)(556, 576)(565, 568)(567, 575)(571, 573)(572, 574)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 48, 48 ), ( 48^3 ) }
Outer automorphisms :: reflexible
Dual of E19.2388
Transitivity :: ET+
Graph:: simple bipartite
	v = 240 e = 288 f = 12
	degree seq :: [ 2^144, 3^96 ]

E19.2385 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 24})
Quotient :: edge
Aut^+ = C3 x (((C4 x C4) : C3) : C2) (small group id <288, 397>)
Aut   = $<576, 5053>$ (small group id <576, 5053>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2^2 * T1^-1, (T2^2 * T1^-1)^3, T2^7 * T1^-1 * T2^-9 * T1^-1, T2^3 * T1 * T2^-2 * T1 * T2^11 * T1 * T2^-2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 19, 37, 64, 98, 142, 194, 254, 287, 277, 288, 278, 279, 235, 218, 161, 115, 77, 48, 26, 13, 5)(2, 6, 14, 27, 50, 80, 119, 166, 224, 195, 256, 250, 285, 247, 284, 243, 236, 178, 129, 88, 57, 32, 16, 7)(4, 11, 22, 41, 69, 105, 149, 203, 255, 225, 275, 267, 286, 268, 269, 217, 244, 185, 135, 92, 60, 34, 17, 8)(10, 21, 40, 67, 101, 145, 197, 257, 263, 204, 264, 207, 265, 212, 216, 160, 215, 246, 187, 136, 94, 61, 35, 18)(12, 23, 43, 71, 107, 152, 206, 253, 193, 143, 196, 189, 245, 186, 234, 177, 233, 266, 209, 153, 109, 72, 44, 24)(15, 29, 53, 82, 122, 169, 227, 274, 223, 167, 226, 198, 258, 208, 242, 184, 241, 276, 228, 170, 123, 83, 54, 30)(20, 39, 31, 55, 84, 124, 171, 229, 273, 222, 165, 120, 168, 155, 159, 114, 158, 214, 248, 188, 138, 95, 62, 36)(25, 45, 73, 110, 154, 210, 252, 192, 141, 99, 144, 137, 183, 134, 182, 240, 283, 259, 199, 146, 103, 68, 42, 46)(28, 52, 33, 58, 89, 130, 179, 237, 280, 262, 202, 150, 205, 172, 176, 128, 175, 232, 270, 219, 162, 116, 78, 49)(38, 66, 59, 90, 131, 180, 238, 281, 261, 201, 148, 106, 151, 108, 113, 76, 112, 157, 213, 249, 190, 139, 96, 63)(47, 74, 111, 156, 211, 251, 191, 140, 97, 65, 100, 93, 127, 87, 126, 174, 231, 271, 220, 163, 117, 79, 51, 75)(56, 85, 125, 173, 230, 272, 221, 164, 118, 81, 121, 102, 133, 91, 132, 181, 239, 282, 260, 200, 147, 104, 70, 86)(289, 290, 292)(291, 296, 298)(293, 300, 294)(295, 303, 299)(297, 306, 308)(301, 313, 311)(302, 312, 316)(304, 319, 317)(305, 321, 309)(307, 324, 326)(310, 318, 330)(314, 335, 333)(315, 337, 339)(320, 344, 343)(322, 347, 346)(323, 341, 327)(325, 351, 353)(328, 340, 332)(329, 356, 358)(331, 334, 342)(336, 364, 362)(338, 367, 369)(345, 375, 373)(348, 379, 378)(349, 381, 370)(350, 377, 354)(352, 385, 387)(355, 360, 390)(357, 392, 394)(359, 371, 396)(361, 363, 366)(365, 402, 400)(368, 406, 408)(372, 374, 391)(376, 416, 414)(380, 422, 420)(382, 413, 415)(383, 425, 418)(384, 410, 388)(386, 429, 431)(389, 409, 405)(393, 436, 438)(395, 439, 435)(397, 419, 421)(398, 404, 443)(399, 401, 411)(403, 448, 446)(407, 453, 455)(412, 434, 460)(417, 465, 463)(423, 472, 470)(424, 474, 461)(426, 469, 471)(427, 477, 457)(428, 467, 432)(430, 481, 483)(433, 451, 486)(437, 490, 492)(440, 488, 495)(441, 496, 468)(442, 456, 452)(444, 458, 500)(445, 447, 450)(449, 505, 503)(454, 511, 513)(459, 493, 489)(462, 464, 487)(466, 523, 521)(473, 531, 529)(475, 520, 522)(476, 535, 527)(478, 518, 533)(479, 538, 525)(480, 515, 484)(482, 512, 543)(485, 514, 510)(491, 551, 542)(494, 552, 550)(497, 528, 530)(498, 509, 555)(499, 553, 548)(501, 507, 556)(502, 504, 516)(506, 524, 532)(508, 526, 546)(517, 549, 565)(519, 547, 566)(534, 557, 558)(536, 564, 572)(537, 574, 560)(539, 570, 573)(540, 563, 562)(541, 568, 544)(545, 561, 575)(554, 567, 571)(559, 576, 569)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4^3 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E19.2389
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 288 f = 144
	degree seq :: [ 3^96, 24^12 ]

E19.2386 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 24})
Quotient :: edge
Aut^+ = C3 x (((C4 x C4) : C3) : C2) (small group id <288, 397>)
Aut   = $<576, 5053>$ (small group id <576, 5053>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T2 * T1^8 * T2 * T1^-8, (T2 * T1^-4 * T2 * T1^4)^2, T1^24 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 69)(52, 67)(54, 86)(55, 89)(57, 75)(58, 83)(60, 93)(62, 95)(63, 98)(66, 99)(68, 103)(72, 107)(73, 110)(76, 101)(78, 113)(79, 116)(82, 117)(84, 121)(85, 124)(87, 126)(88, 129)(90, 130)(91, 134)(92, 132)(94, 137)(96, 139)(97, 142)(100, 143)(102, 147)(104, 150)(105, 153)(106, 145)(108, 155)(109, 158)(111, 159)(112, 163)(114, 165)(115, 168)(118, 169)(119, 152)(120, 173)(122, 162)(123, 161)(125, 154)(127, 178)(128, 181)(131, 160)(133, 171)(135, 186)(136, 174)(138, 189)(140, 191)(141, 194)(144, 195)(146, 199)(148, 202)(149, 197)(151, 205)(156, 209)(157, 212)(164, 204)(166, 217)(167, 219)(170, 220)(172, 224)(175, 227)(176, 230)(177, 232)(179, 234)(180, 236)(182, 237)(183, 240)(184, 242)(185, 239)(187, 243)(188, 241)(190, 244)(192, 235)(193, 247)(196, 248)(198, 250)(200, 252)(201, 249)(203, 254)(206, 256)(207, 258)(208, 253)(210, 260)(211, 261)(213, 262)(214, 265)(215, 268)(216, 270)(218, 272)(221, 273)(222, 257)(223, 275)(225, 267)(226, 277)(228, 269)(229, 264)(231, 266)(233, 259)(238, 263)(245, 278)(246, 281)(251, 282)(255, 283)(271, 284)(274, 280)(276, 287)(279, 286)(285, 288)(289, 290, 293, 299, 309, 325, 351, 385, 429, 481, 534, 568, 576, 575, 567, 533, 480, 428, 384, 350, 324, 308, 298, 292)(291, 295, 303, 315, 335, 367, 403, 455, 482, 536, 570, 540, 571, 544, 572, 560, 523, 467, 415, 375, 342, 319, 305, 296)(294, 301, 313, 331, 361, 397, 445, 499, 535, 507, 561, 530, 563, 531, 565, 532, 479, 506, 454, 402, 366, 334, 314, 302)(297, 306, 320, 343, 376, 416, 468, 484, 430, 483, 537, 490, 541, 497, 547, 522, 566, 516, 463, 410, 372, 339, 317, 304)(300, 311, 329, 357, 393, 440, 495, 545, 569, 549, 526, 469, 525, 474, 528, 477, 427, 478, 498, 444, 396, 360, 330, 312)(307, 322, 346, 379, 421, 472, 486, 432, 386, 431, 485, 438, 492, 453, 504, 557, 574, 554, 502, 449, 399, 362, 345, 321)(310, 327, 355, 341, 373, 411, 464, 517, 562, 510, 458, 404, 457, 422, 461, 425, 383, 426, 476, 494, 439, 392, 356, 328)(316, 337, 358, 333, 364, 391, 437, 487, 539, 524, 551, 500, 550, 518, 553, 520, 466, 521, 548, 514, 462, 408, 371, 338)(318, 340, 359, 394, 435, 489, 538, 509, 456, 508, 546, 512, 556, 515, 558, 505, 559, 529, 471, 420, 378, 344, 363, 332)(323, 348, 380, 423, 473, 488, 434, 388, 352, 387, 433, 395, 442, 414, 465, 519, 564, 513, 460, 407, 370, 336, 369, 347)(326, 353, 389, 365, 400, 450, 503, 555, 573, 552, 501, 446, 419, 377, 418, 381, 349, 382, 424, 475, 491, 436, 390, 354)(368, 405, 441, 409, 451, 401, 452, 493, 543, 527, 470, 417, 448, 398, 447, 412, 374, 413, 443, 496, 542, 511, 459, 406)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 6, 6 ), ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E19.2387
Transitivity :: ET+
Graph:: simple bipartite
	v = 156 e = 288 f = 96
	degree seq :: [ 2^144, 24^12 ]

E19.2387 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 24})
Quotient :: loop
Aut^+ = C3 x (((C4 x C4) : C3) : C2) (small group id <288, 397>)
Aut   = $<576, 5053>$ (small group id <576, 5053>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2)^3, (T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, (T2^-1 * T1)^24 ]
Map::
	R = (1, 289, 3, 291, 4, 292)(2, 290, 5, 293, 6, 294)(7, 295, 11, 299, 12, 300)(8, 296, 13, 301, 14, 302)(9, 297, 15, 303, 16, 304)(10, 298, 17, 305, 18, 306)(19, 307, 27, 315, 28, 316)(20, 308, 29, 317, 30, 318)(21, 309, 31, 319, 32, 320)(22, 310, 33, 321, 34, 322)(23, 311, 35, 323, 36, 324)(24, 312, 37, 325, 38, 326)(25, 313, 39, 327, 40, 328)(26, 314, 41, 329, 42, 330)(43, 331, 55, 343, 56, 344)(44, 332, 47, 335, 57, 345)(45, 333, 58, 346, 59, 347)(46, 334, 60, 348, 61, 349)(48, 336, 62, 350, 63, 351)(49, 337, 64, 352, 65, 353)(50, 338, 53, 341, 66, 354)(51, 339, 67, 355, 68, 356)(52, 340, 69, 357, 70, 358)(54, 342, 71, 359, 72, 360)(73, 361, 91, 379, 92, 380)(74, 362, 76, 364, 93, 381)(75, 363, 94, 382, 95, 383)(77, 365, 96, 384, 97, 385)(78, 366, 98, 386, 99, 387)(79, 367, 80, 368, 100, 388)(81, 369, 101, 389, 102, 390)(82, 370, 103, 391, 104, 392)(83, 371, 85, 373, 105, 393)(84, 372, 106, 394, 107, 395)(86, 374, 108, 396, 109, 397)(87, 375, 110, 398, 111, 399)(88, 376, 89, 377, 112, 400)(90, 378, 113, 401, 114, 402)(115, 403, 213, 501, 185, 473)(116, 404, 118, 406, 215, 503)(117, 405, 214, 502, 155, 443)(119, 407, 123, 411, 194, 482)(120, 408, 197, 485, 142, 430)(121, 409, 218, 506, 169, 457)(122, 410, 219, 507, 140, 428)(124, 412, 182, 470, 153, 441)(125, 413, 223, 511, 224, 512)(126, 414, 226, 514, 227, 515)(127, 415, 228, 516, 225, 513)(128, 416, 230, 518, 231, 519)(129, 417, 232, 520, 222, 510)(130, 418, 234, 522, 235, 523)(131, 419, 236, 524, 237, 525)(132, 420, 238, 526, 239, 527)(133, 421, 240, 528, 241, 529)(134, 422, 242, 530, 243, 531)(135, 423, 208, 496, 203, 491)(136, 424, 209, 497, 245, 533)(137, 425, 202, 490, 229, 517)(138, 426, 205, 493, 211, 499)(139, 427, 195, 483, 193, 481)(141, 429, 192, 480, 233, 521)(143, 431, 249, 537, 250, 538)(144, 432, 251, 539, 252, 540)(145, 433, 253, 541, 254, 542)(146, 434, 255, 543, 256, 544)(147, 435, 257, 545, 258, 546)(148, 436, 259, 547, 260, 548)(149, 437, 261, 549, 262, 550)(150, 438, 263, 551, 264, 552)(151, 439, 178, 466, 181, 469)(152, 440, 196, 484, 244, 532)(154, 442, 191, 479, 180, 468)(156, 444, 179, 467, 246, 534)(157, 445, 173, 461, 176, 464)(158, 446, 210, 498, 247, 535)(159, 447, 212, 500, 177, 465)(160, 448, 199, 487, 175, 463)(161, 449, 201, 489, 265, 553)(162, 450, 174, 462, 248, 536)(163, 451, 266, 554, 200, 488)(164, 452, 207, 495, 267, 555)(165, 453, 268, 556, 269, 557)(166, 454, 270, 558, 271, 559)(167, 455, 206, 494, 204, 492)(168, 456, 272, 560, 273, 561)(170, 458, 274, 562, 275, 563)(171, 459, 276, 564, 277, 565)(172, 460, 278, 566, 279, 567)(183, 471, 281, 569, 282, 570)(184, 472, 283, 571, 284, 572)(186, 474, 285, 573, 286, 574)(187, 475, 287, 575, 216, 504)(188, 476, 220, 508, 288, 576)(189, 477, 198, 486, 280, 568)(190, 478, 217, 505, 221, 509)
	L = (1, 290)(2, 289)(3, 295)(4, 296)(5, 297)(6, 298)(7, 291)(8, 292)(9, 293)(10, 294)(11, 307)(12, 308)(13, 309)(14, 310)(15, 311)(16, 312)(17, 313)(18, 314)(19, 299)(20, 300)(21, 301)(22, 302)(23, 303)(24, 304)(25, 305)(26, 306)(27, 331)(28, 332)(29, 325)(30, 333)(31, 334)(32, 328)(33, 335)(34, 336)(35, 337)(36, 338)(37, 317)(38, 339)(39, 340)(40, 320)(41, 341)(42, 342)(43, 315)(44, 316)(45, 318)(46, 319)(47, 321)(48, 322)(49, 323)(50, 324)(51, 326)(52, 327)(53, 329)(54, 330)(55, 361)(56, 362)(57, 363)(58, 364)(59, 365)(60, 366)(61, 367)(62, 368)(63, 369)(64, 370)(65, 371)(66, 372)(67, 373)(68, 374)(69, 375)(70, 376)(71, 377)(72, 378)(73, 343)(74, 344)(75, 345)(76, 346)(77, 347)(78, 348)(79, 349)(80, 350)(81, 351)(82, 352)(83, 353)(84, 354)(85, 355)(86, 356)(87, 357)(88, 358)(89, 359)(90, 360)(91, 403)(92, 404)(93, 405)(94, 406)(95, 407)(96, 396)(97, 408)(98, 409)(99, 399)(100, 410)(101, 411)(102, 412)(103, 486)(104, 488)(105, 489)(106, 451)(107, 492)(108, 384)(109, 493)(110, 495)(111, 387)(112, 497)(113, 455)(114, 500)(115, 379)(116, 380)(117, 381)(118, 382)(119, 383)(120, 385)(121, 386)(122, 388)(123, 389)(124, 390)(125, 510)(126, 513)(127, 491)(128, 517)(129, 481)(130, 521)(131, 519)(132, 512)(133, 523)(134, 515)(135, 469)(136, 532)(137, 468)(138, 534)(139, 464)(140, 535)(141, 463)(142, 536)(143, 533)(144, 525)(145, 499)(146, 527)(147, 507)(148, 529)(149, 485)(150, 531)(151, 445)(152, 465)(153, 487)(154, 461)(155, 550)(156, 450)(157, 439)(158, 470)(159, 479)(160, 466)(161, 542)(162, 444)(163, 394)(164, 538)(165, 540)(166, 502)(167, 401)(168, 544)(169, 546)(170, 548)(171, 553)(172, 552)(173, 442)(174, 483)(175, 429)(176, 427)(177, 440)(178, 448)(179, 496)(180, 425)(181, 423)(182, 446)(183, 555)(184, 557)(185, 559)(186, 561)(187, 506)(188, 563)(189, 565)(190, 567)(191, 447)(192, 490)(193, 417)(194, 522)(195, 462)(196, 520)(197, 437)(198, 391)(199, 441)(200, 392)(201, 393)(202, 480)(203, 415)(204, 395)(205, 397)(206, 518)(207, 398)(208, 467)(209, 400)(210, 516)(211, 433)(212, 402)(213, 508)(214, 454)(215, 547)(216, 570)(217, 572)(218, 475)(219, 435)(220, 501)(221, 574)(222, 413)(223, 549)(224, 420)(225, 414)(226, 541)(227, 422)(228, 498)(229, 416)(230, 494)(231, 419)(232, 484)(233, 418)(234, 482)(235, 421)(236, 528)(237, 432)(238, 537)(239, 434)(240, 524)(241, 436)(242, 545)(243, 438)(244, 424)(245, 431)(246, 426)(247, 428)(248, 430)(249, 526)(250, 452)(251, 554)(252, 453)(253, 514)(254, 449)(255, 558)(256, 456)(257, 530)(258, 457)(259, 503)(260, 458)(261, 511)(262, 443)(263, 564)(264, 460)(265, 459)(266, 539)(267, 471)(268, 562)(269, 472)(270, 543)(271, 473)(272, 569)(273, 474)(274, 556)(275, 476)(276, 551)(277, 477)(278, 575)(279, 478)(280, 571)(281, 560)(282, 504)(283, 568)(284, 505)(285, 576)(286, 509)(287, 566)(288, 573)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2386
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 96 e = 288 f = 156
	degree seq :: [ 6^96 ]

E19.2388 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 24})
Quotient :: loop
Aut^+ = C3 x (((C4 x C4) : C3) : C2) (small group id <288, 397>)
Aut   = $<576, 5053>$ (small group id <576, 5053>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2^2 * T1^-1, (T2^2 * T1^-1)^3, T2^7 * T1^-1 * T2^-9 * T1^-1, T2^3 * T1 * T2^-2 * T1 * T2^11 * T1 * T2^-2 * T1 ]
Map::
	R = (1, 289, 3, 291, 9, 297, 19, 307, 37, 325, 64, 352, 98, 386, 142, 430, 194, 482, 254, 542, 287, 575, 277, 565, 288, 576, 278, 566, 279, 567, 235, 523, 218, 506, 161, 449, 115, 403, 77, 365, 48, 336, 26, 314, 13, 301, 5, 293)(2, 290, 6, 294, 14, 302, 27, 315, 50, 338, 80, 368, 119, 407, 166, 454, 224, 512, 195, 483, 256, 544, 250, 538, 285, 573, 247, 535, 284, 572, 243, 531, 236, 524, 178, 466, 129, 417, 88, 376, 57, 345, 32, 320, 16, 304, 7, 295)(4, 292, 11, 299, 22, 310, 41, 329, 69, 357, 105, 393, 149, 437, 203, 491, 255, 543, 225, 513, 275, 563, 267, 555, 286, 574, 268, 556, 269, 557, 217, 505, 244, 532, 185, 473, 135, 423, 92, 380, 60, 348, 34, 322, 17, 305, 8, 296)(10, 298, 21, 309, 40, 328, 67, 355, 101, 389, 145, 433, 197, 485, 257, 545, 263, 551, 204, 492, 264, 552, 207, 495, 265, 553, 212, 500, 216, 504, 160, 448, 215, 503, 246, 534, 187, 475, 136, 424, 94, 382, 61, 349, 35, 323, 18, 306)(12, 300, 23, 311, 43, 331, 71, 359, 107, 395, 152, 440, 206, 494, 253, 541, 193, 481, 143, 431, 196, 484, 189, 477, 245, 533, 186, 474, 234, 522, 177, 465, 233, 521, 266, 554, 209, 497, 153, 441, 109, 397, 72, 360, 44, 332, 24, 312)(15, 303, 29, 317, 53, 341, 82, 370, 122, 410, 169, 457, 227, 515, 274, 562, 223, 511, 167, 455, 226, 514, 198, 486, 258, 546, 208, 496, 242, 530, 184, 472, 241, 529, 276, 564, 228, 516, 170, 458, 123, 411, 83, 371, 54, 342, 30, 318)(20, 308, 39, 327, 31, 319, 55, 343, 84, 372, 124, 412, 171, 459, 229, 517, 273, 561, 222, 510, 165, 453, 120, 408, 168, 456, 155, 443, 159, 447, 114, 402, 158, 446, 214, 502, 248, 536, 188, 476, 138, 426, 95, 383, 62, 350, 36, 324)(25, 313, 45, 333, 73, 361, 110, 398, 154, 442, 210, 498, 252, 540, 192, 480, 141, 429, 99, 387, 144, 432, 137, 425, 183, 471, 134, 422, 182, 470, 240, 528, 283, 571, 259, 547, 199, 487, 146, 434, 103, 391, 68, 356, 42, 330, 46, 334)(28, 316, 52, 340, 33, 321, 58, 346, 89, 377, 130, 418, 179, 467, 237, 525, 280, 568, 262, 550, 202, 490, 150, 438, 205, 493, 172, 460, 176, 464, 128, 416, 175, 463, 232, 520, 270, 558, 219, 507, 162, 450, 116, 404, 78, 366, 49, 337)(38, 326, 66, 354, 59, 347, 90, 378, 131, 419, 180, 468, 238, 526, 281, 569, 261, 549, 201, 489, 148, 436, 106, 394, 151, 439, 108, 396, 113, 401, 76, 364, 112, 400, 157, 445, 213, 501, 249, 537, 190, 478, 139, 427, 96, 384, 63, 351)(47, 335, 74, 362, 111, 399, 156, 444, 211, 499, 251, 539, 191, 479, 140, 428, 97, 385, 65, 353, 100, 388, 93, 381, 127, 415, 87, 375, 126, 414, 174, 462, 231, 519, 271, 559, 220, 508, 163, 451, 117, 405, 79, 367, 51, 339, 75, 363)(56, 344, 85, 373, 125, 413, 173, 461, 230, 518, 272, 560, 221, 509, 164, 452, 118, 406, 81, 369, 121, 409, 102, 390, 133, 421, 91, 379, 132, 420, 181, 469, 239, 527, 282, 570, 260, 548, 200, 488, 147, 435, 104, 392, 70, 358, 86, 374)
	L = (1, 290)(2, 292)(3, 296)(4, 289)(5, 300)(6, 293)(7, 303)(8, 298)(9, 306)(10, 291)(11, 295)(12, 294)(13, 313)(14, 312)(15, 299)(16, 319)(17, 321)(18, 308)(19, 324)(20, 297)(21, 305)(22, 318)(23, 301)(24, 316)(25, 311)(26, 335)(27, 337)(28, 302)(29, 304)(30, 330)(31, 317)(32, 344)(33, 309)(34, 347)(35, 341)(36, 326)(37, 351)(38, 307)(39, 323)(40, 340)(41, 356)(42, 310)(43, 334)(44, 328)(45, 314)(46, 342)(47, 333)(48, 364)(49, 339)(50, 367)(51, 315)(52, 332)(53, 327)(54, 331)(55, 320)(56, 343)(57, 375)(58, 322)(59, 346)(60, 379)(61, 381)(62, 377)(63, 353)(64, 385)(65, 325)(66, 350)(67, 360)(68, 358)(69, 392)(70, 329)(71, 371)(72, 390)(73, 363)(74, 336)(75, 366)(76, 362)(77, 402)(78, 361)(79, 369)(80, 406)(81, 338)(82, 349)(83, 396)(84, 374)(85, 345)(86, 391)(87, 373)(88, 416)(89, 354)(90, 348)(91, 378)(92, 422)(93, 370)(94, 413)(95, 425)(96, 410)(97, 387)(98, 429)(99, 352)(100, 384)(101, 409)(102, 355)(103, 372)(104, 394)(105, 436)(106, 357)(107, 439)(108, 359)(109, 419)(110, 404)(111, 401)(112, 365)(113, 411)(114, 400)(115, 448)(116, 443)(117, 389)(118, 408)(119, 453)(120, 368)(121, 405)(122, 388)(123, 399)(124, 434)(125, 415)(126, 376)(127, 382)(128, 414)(129, 465)(130, 383)(131, 421)(132, 380)(133, 397)(134, 420)(135, 472)(136, 474)(137, 418)(138, 469)(139, 477)(140, 467)(141, 431)(142, 481)(143, 386)(144, 428)(145, 451)(146, 460)(147, 395)(148, 438)(149, 490)(150, 393)(151, 435)(152, 488)(153, 496)(154, 456)(155, 398)(156, 458)(157, 447)(158, 403)(159, 450)(160, 446)(161, 505)(162, 445)(163, 486)(164, 442)(165, 455)(166, 511)(167, 407)(168, 452)(169, 427)(170, 500)(171, 493)(172, 412)(173, 424)(174, 464)(175, 417)(176, 487)(177, 463)(178, 523)(179, 432)(180, 441)(181, 471)(182, 423)(183, 426)(184, 470)(185, 531)(186, 461)(187, 520)(188, 535)(189, 457)(190, 518)(191, 538)(192, 515)(193, 483)(194, 512)(195, 430)(196, 480)(197, 514)(198, 433)(199, 462)(200, 495)(201, 459)(202, 492)(203, 551)(204, 437)(205, 489)(206, 552)(207, 440)(208, 468)(209, 528)(210, 509)(211, 553)(212, 444)(213, 507)(214, 504)(215, 449)(216, 516)(217, 503)(218, 524)(219, 556)(220, 526)(221, 555)(222, 485)(223, 513)(224, 543)(225, 454)(226, 510)(227, 484)(228, 502)(229, 549)(230, 533)(231, 547)(232, 522)(233, 466)(234, 475)(235, 521)(236, 532)(237, 479)(238, 546)(239, 476)(240, 530)(241, 473)(242, 497)(243, 529)(244, 506)(245, 478)(246, 557)(247, 527)(248, 564)(249, 574)(250, 525)(251, 570)(252, 563)(253, 568)(254, 491)(255, 482)(256, 541)(257, 561)(258, 508)(259, 566)(260, 499)(261, 565)(262, 494)(263, 542)(264, 550)(265, 548)(266, 567)(267, 498)(268, 501)(269, 558)(270, 534)(271, 576)(272, 537)(273, 575)(274, 540)(275, 562)(276, 572)(277, 517)(278, 519)(279, 571)(280, 544)(281, 559)(282, 573)(283, 554)(284, 536)(285, 539)(286, 560)(287, 545)(288, 569)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E19.2384
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 288 f = 240
	degree seq :: [ 48^12 ]

E19.2389 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 24})
Quotient :: loop
Aut^+ = C3 x (((C4 x C4) : C3) : C2) (small group id <288, 397>)
Aut   = $<576, 5053>$ (small group id <576, 5053>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T2 * T1^8 * T2 * T1^-8, (T2 * T1^-4 * T2 * T1^4)^2, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 289, 3, 291)(2, 290, 6, 294)(4, 292, 9, 297)(5, 293, 12, 300)(7, 295, 16, 304)(8, 296, 13, 301)(10, 298, 19, 307)(11, 299, 22, 310)(14, 302, 23, 311)(15, 303, 28, 316)(17, 305, 30, 318)(18, 306, 33, 321)(20, 308, 35, 323)(21, 309, 38, 326)(24, 312, 39, 327)(25, 313, 44, 332)(26, 314, 45, 333)(27, 315, 48, 336)(29, 317, 49, 337)(31, 319, 53, 341)(32, 320, 56, 344)(34, 322, 59, 347)(36, 324, 61, 349)(37, 325, 64, 352)(40, 328, 65, 353)(41, 329, 70, 358)(42, 330, 71, 359)(43, 331, 74, 362)(46, 334, 77, 365)(47, 335, 80, 368)(50, 338, 81, 369)(51, 339, 69, 357)(52, 340, 67, 355)(54, 342, 86, 374)(55, 343, 89, 377)(57, 345, 75, 363)(58, 346, 83, 371)(60, 348, 93, 381)(62, 350, 95, 383)(63, 351, 98, 386)(66, 354, 99, 387)(68, 356, 103, 391)(72, 360, 107, 395)(73, 361, 110, 398)(76, 364, 101, 389)(78, 366, 113, 401)(79, 367, 116, 404)(82, 370, 117, 405)(84, 372, 121, 409)(85, 373, 124, 412)(87, 375, 126, 414)(88, 376, 129, 417)(90, 378, 130, 418)(91, 379, 134, 422)(92, 380, 132, 420)(94, 382, 137, 425)(96, 384, 139, 427)(97, 385, 142, 430)(100, 388, 143, 431)(102, 390, 147, 435)(104, 392, 150, 438)(105, 393, 153, 441)(106, 394, 145, 433)(108, 396, 155, 443)(109, 397, 158, 446)(111, 399, 159, 447)(112, 400, 163, 451)(114, 402, 165, 453)(115, 403, 168, 456)(118, 406, 169, 457)(119, 407, 152, 440)(120, 408, 173, 461)(122, 410, 162, 450)(123, 411, 161, 449)(125, 413, 154, 442)(127, 415, 178, 466)(128, 416, 181, 469)(131, 419, 160, 448)(133, 421, 171, 459)(135, 423, 186, 474)(136, 424, 174, 462)(138, 426, 189, 477)(140, 428, 191, 479)(141, 429, 194, 482)(144, 432, 195, 483)(146, 434, 199, 487)(148, 436, 202, 490)(149, 437, 197, 485)(151, 439, 205, 493)(156, 444, 209, 497)(157, 445, 212, 500)(164, 452, 204, 492)(166, 454, 217, 505)(167, 455, 219, 507)(170, 458, 220, 508)(172, 460, 224, 512)(175, 463, 227, 515)(176, 464, 230, 518)(177, 465, 232, 520)(179, 467, 234, 522)(180, 468, 236, 524)(182, 470, 237, 525)(183, 471, 240, 528)(184, 472, 242, 530)(185, 473, 239, 527)(187, 475, 243, 531)(188, 476, 241, 529)(190, 478, 244, 532)(192, 480, 235, 523)(193, 481, 247, 535)(196, 484, 248, 536)(198, 486, 250, 538)(200, 488, 252, 540)(201, 489, 249, 537)(203, 491, 254, 542)(206, 494, 256, 544)(207, 495, 258, 546)(208, 496, 253, 541)(210, 498, 260, 548)(211, 499, 261, 549)(213, 501, 262, 550)(214, 502, 265, 553)(215, 503, 268, 556)(216, 504, 270, 558)(218, 506, 272, 560)(221, 509, 273, 561)(222, 510, 257, 545)(223, 511, 275, 563)(225, 513, 267, 555)(226, 514, 277, 565)(228, 516, 269, 557)(229, 517, 264, 552)(231, 519, 266, 554)(233, 521, 259, 547)(238, 526, 263, 551)(245, 533, 278, 566)(246, 534, 281, 569)(251, 539, 282, 570)(255, 543, 283, 571)(271, 559, 284, 572)(274, 562, 280, 568)(276, 564, 287, 575)(279, 567, 286, 574)(285, 573, 288, 576)
	L = (1, 290)(2, 293)(3, 295)(4, 289)(5, 299)(6, 301)(7, 303)(8, 291)(9, 306)(10, 292)(11, 309)(12, 311)(13, 313)(14, 294)(15, 315)(16, 297)(17, 296)(18, 320)(19, 322)(20, 298)(21, 325)(22, 327)(23, 329)(24, 300)(25, 331)(26, 302)(27, 335)(28, 337)(29, 304)(30, 340)(31, 305)(32, 343)(33, 307)(34, 346)(35, 348)(36, 308)(37, 351)(38, 353)(39, 355)(40, 310)(41, 357)(42, 312)(43, 361)(44, 318)(45, 364)(46, 314)(47, 367)(48, 369)(49, 358)(50, 316)(51, 317)(52, 359)(53, 373)(54, 319)(55, 376)(56, 363)(57, 321)(58, 379)(59, 323)(60, 380)(61, 382)(62, 324)(63, 385)(64, 387)(65, 389)(66, 326)(67, 341)(68, 328)(69, 393)(70, 333)(71, 394)(72, 330)(73, 397)(74, 345)(75, 332)(76, 391)(77, 400)(78, 334)(79, 403)(80, 405)(81, 347)(82, 336)(83, 338)(84, 339)(85, 411)(86, 413)(87, 342)(88, 416)(89, 418)(90, 344)(91, 421)(92, 423)(93, 349)(94, 424)(95, 426)(96, 350)(97, 429)(98, 431)(99, 433)(100, 352)(101, 365)(102, 354)(103, 437)(104, 356)(105, 440)(106, 435)(107, 442)(108, 360)(109, 445)(110, 447)(111, 362)(112, 450)(113, 452)(114, 366)(115, 455)(116, 457)(117, 441)(118, 368)(119, 370)(120, 371)(121, 451)(122, 372)(123, 464)(124, 374)(125, 443)(126, 465)(127, 375)(128, 468)(129, 448)(130, 381)(131, 377)(132, 378)(133, 472)(134, 461)(135, 473)(136, 475)(137, 383)(138, 476)(139, 478)(140, 384)(141, 481)(142, 483)(143, 485)(144, 386)(145, 395)(146, 388)(147, 489)(148, 390)(149, 487)(150, 492)(151, 392)(152, 495)(153, 409)(154, 414)(155, 496)(156, 396)(157, 499)(158, 419)(159, 412)(160, 398)(161, 399)(162, 503)(163, 401)(164, 493)(165, 504)(166, 402)(167, 482)(168, 508)(169, 422)(170, 404)(171, 406)(172, 407)(173, 425)(174, 408)(175, 410)(176, 517)(177, 519)(178, 521)(179, 415)(180, 484)(181, 525)(182, 417)(183, 420)(184, 486)(185, 488)(186, 528)(187, 491)(188, 494)(189, 427)(190, 498)(191, 506)(192, 428)(193, 534)(194, 536)(195, 537)(196, 430)(197, 438)(198, 432)(199, 539)(200, 434)(201, 538)(202, 541)(203, 436)(204, 453)(205, 543)(206, 439)(207, 545)(208, 542)(209, 547)(210, 444)(211, 535)(212, 550)(213, 446)(214, 449)(215, 555)(216, 557)(217, 559)(218, 454)(219, 561)(220, 546)(221, 456)(222, 458)(223, 459)(224, 556)(225, 460)(226, 462)(227, 558)(228, 463)(229, 562)(230, 553)(231, 564)(232, 466)(233, 548)(234, 566)(235, 467)(236, 551)(237, 474)(238, 469)(239, 470)(240, 477)(241, 471)(242, 563)(243, 565)(244, 479)(245, 480)(246, 568)(247, 507)(248, 570)(249, 490)(250, 509)(251, 524)(252, 571)(253, 497)(254, 511)(255, 527)(256, 572)(257, 569)(258, 512)(259, 522)(260, 514)(261, 526)(262, 518)(263, 500)(264, 501)(265, 520)(266, 502)(267, 573)(268, 515)(269, 574)(270, 505)(271, 529)(272, 523)(273, 530)(274, 510)(275, 531)(276, 513)(277, 532)(278, 516)(279, 533)(280, 576)(281, 549)(282, 540)(283, 544)(284, 560)(285, 552)(286, 554)(287, 567)(288, 575)
	local type(s) :: { ( 3, 24, 3, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2385
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 144 e = 288 f = 108
	degree seq :: [ 4^144 ]

E19.2390 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = C3 x (((C4 x C4) : C3) : C2) (small group id <288, 397>)
Aut   = $<576, 5053>$ (small group id <576, 5053>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1 * Y2^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 289, 2, 290)(3, 291, 7, 295)(4, 292, 8, 296)(5, 293, 9, 297)(6, 294, 10, 298)(11, 299, 19, 307)(12, 300, 20, 308)(13, 301, 21, 309)(14, 302, 22, 310)(15, 303, 23, 311)(16, 304, 24, 312)(17, 305, 25, 313)(18, 306, 26, 314)(27, 315, 43, 331)(28, 316, 44, 332)(29, 317, 37, 325)(30, 318, 45, 333)(31, 319, 46, 334)(32, 320, 40, 328)(33, 321, 47, 335)(34, 322, 48, 336)(35, 323, 49, 337)(36, 324, 50, 338)(38, 326, 51, 339)(39, 327, 52, 340)(41, 329, 53, 341)(42, 330, 54, 342)(55, 343, 73, 361)(56, 344, 74, 362)(57, 345, 75, 363)(58, 346, 76, 364)(59, 347, 77, 365)(60, 348, 78, 366)(61, 349, 79, 367)(62, 350, 80, 368)(63, 351, 81, 369)(64, 352, 82, 370)(65, 353, 83, 371)(66, 354, 84, 372)(67, 355, 85, 373)(68, 356, 86, 374)(69, 357, 87, 375)(70, 358, 88, 376)(71, 359, 89, 377)(72, 360, 90, 378)(91, 379, 115, 403)(92, 380, 116, 404)(93, 381, 117, 405)(94, 382, 118, 406)(95, 383, 119, 407)(96, 384, 108, 396)(97, 385, 120, 408)(98, 386, 121, 409)(99, 387, 111, 399)(100, 388, 122, 410)(101, 389, 123, 411)(102, 390, 124, 412)(103, 391, 158, 446)(104, 392, 193, 481)(105, 393, 194, 482)(106, 394, 131, 419)(107, 395, 197, 485)(109, 397, 198, 486)(110, 398, 181, 469)(112, 400, 202, 490)(113, 401, 136, 424)(114, 402, 204, 492)(125, 413, 216, 504)(126, 414, 212, 500)(127, 415, 196, 484)(128, 416, 223, 511)(129, 417, 187, 475)(130, 418, 228, 516)(132, 420, 207, 495)(133, 421, 234, 522)(134, 422, 173, 461)(135, 423, 239, 527)(137, 425, 243, 531)(138, 426, 166, 454)(139, 427, 245, 533)(140, 428, 250, 538)(141, 429, 252, 540)(142, 430, 255, 543)(143, 431, 258, 546)(144, 432, 211, 499)(145, 433, 151, 439)(146, 434, 230, 518)(147, 435, 192, 480)(148, 436, 162, 450)(149, 437, 241, 529)(150, 438, 269, 557)(152, 440, 225, 513)(153, 441, 185, 473)(154, 442, 169, 457)(155, 443, 249, 537)(156, 444, 266, 554)(157, 445, 268, 556)(159, 447, 205, 493)(160, 448, 275, 563)(161, 449, 278, 566)(163, 451, 218, 506)(164, 452, 189, 477)(165, 453, 247, 535)(167, 455, 222, 510)(168, 456, 262, 550)(170, 458, 220, 508)(171, 459, 200, 488)(172, 460, 238, 526)(174, 462, 227, 515)(175, 463, 272, 560)(176, 464, 259, 547)(177, 465, 279, 567)(178, 466, 277, 565)(179, 467, 260, 548)(180, 468, 254, 542)(182, 470, 281, 569)(183, 471, 280, 568)(184, 472, 256, 544)(186, 474, 195, 483)(188, 476, 282, 570)(190, 478, 233, 521)(191, 479, 288, 576)(199, 487, 284, 572)(201, 489, 236, 524)(203, 491, 287, 575)(206, 494, 257, 545)(208, 496, 213, 501)(209, 497, 286, 574)(210, 498, 235, 523)(214, 502, 276, 564)(215, 503, 253, 541)(217, 505, 240, 528)(219, 507, 248, 536)(221, 509, 244, 532)(224, 512, 229, 517)(226, 514, 251, 539)(231, 519, 263, 551)(232, 520, 267, 555)(237, 525, 264, 552)(242, 530, 270, 558)(246, 534, 273, 561)(261, 549, 283, 571)(265, 553, 274, 562)(271, 559, 285, 573)(577, 865, 579, 867, 580, 868)(578, 866, 581, 869, 582, 870)(583, 871, 587, 875, 588, 876)(584, 872, 589, 877, 590, 878)(585, 873, 591, 879, 592, 880)(586, 874, 593, 881, 594, 882)(595, 883, 603, 891, 604, 892)(596, 884, 605, 893, 606, 894)(597, 885, 607, 895, 608, 896)(598, 886, 609, 897, 610, 898)(599, 887, 611, 899, 612, 900)(600, 888, 613, 901, 614, 902)(601, 889, 615, 903, 616, 904)(602, 890, 617, 905, 618, 906)(619, 907, 631, 919, 632, 920)(620, 908, 623, 911, 633, 921)(621, 909, 634, 922, 635, 923)(622, 910, 636, 924, 637, 925)(624, 912, 638, 926, 639, 927)(625, 913, 640, 928, 641, 929)(626, 914, 629, 917, 642, 930)(627, 915, 643, 931, 644, 932)(628, 916, 645, 933, 646, 934)(630, 918, 647, 935, 648, 936)(649, 937, 667, 955, 668, 956)(650, 938, 652, 940, 669, 957)(651, 939, 670, 958, 671, 959)(653, 941, 672, 960, 673, 961)(654, 942, 674, 962, 675, 963)(655, 943, 656, 944, 676, 964)(657, 945, 677, 965, 678, 966)(658, 946, 679, 967, 680, 968)(659, 947, 661, 949, 681, 969)(660, 948, 682, 970, 683, 971)(662, 950, 684, 972, 685, 973)(663, 951, 686, 974, 687, 975)(664, 952, 665, 953, 688, 976)(666, 954, 689, 977, 690, 978)(691, 979, 781, 1069, 766, 1054)(692, 980, 694, 982, 784, 1072)(693, 981, 783, 1071, 750, 1038)(695, 983, 699, 987, 790, 1078)(696, 984, 763, 1051, 751, 1039)(697, 985, 787, 1075, 746, 1034)(698, 986, 788, 1076, 748, 1036)(700, 988, 749, 1037, 764, 1052)(701, 989, 793, 1081, 794, 1082)(702, 990, 795, 1083, 796, 1084)(703, 991, 797, 1085, 798, 1086)(704, 992, 800, 1088, 801, 1089)(705, 993, 802, 1090, 803, 1091)(706, 994, 805, 1093, 806, 1094)(707, 995, 807, 1095, 769, 1057)(708, 996, 808, 1096, 809, 1097)(709, 997, 811, 1099, 812, 1100)(710, 998, 813, 1101, 814, 1102)(711, 999, 816, 1104, 817, 1105)(712, 1000, 818, 1106, 773, 1061)(713, 1001, 820, 1108, 821, 1109)(714, 1002, 822, 1110, 823, 1111)(715, 1003, 824, 1112, 825, 1113)(716, 1004, 827, 1115, 815, 1103)(717, 1005, 829, 1117, 830, 1118)(718, 1006, 832, 1120, 833, 1121)(719, 1007, 791, 1079, 835, 1123)(720, 1008, 836, 1124, 782, 1070)(721, 1009, 837, 1125, 838, 1126)(722, 1010, 839, 1127, 834, 1122)(723, 1011, 840, 1128, 819, 1107)(724, 1012, 841, 1129, 842, 1130)(725, 1013, 843, 1131, 844, 1132)(726, 1014, 846, 1134, 804, 1092)(727, 1015, 847, 1135, 848, 1136)(728, 1016, 789, 1077, 828, 1116)(729, 1017, 849, 1137, 826, 1114)(730, 1018, 850, 1138, 845, 1133)(731, 1019, 786, 1074, 851, 1139)(732, 1020, 852, 1140, 799, 1087)(733, 1021, 760, 1048, 853, 1141)(734, 1022, 854, 1142, 777, 1065)(735, 1023, 855, 1143, 756, 1044)(736, 1024, 755, 1043, 856, 1144)(737, 1025, 857, 1145, 752, 1040)(738, 1026, 779, 1067, 858, 1146)(739, 1027, 757, 1045, 831, 1119)(740, 1028, 859, 1147, 768, 1056)(741, 1029, 778, 1066, 792, 1080)(742, 1030, 775, 1063, 780, 1068)(743, 1031, 770, 1058, 810, 1098)(744, 1032, 774, 1062, 772, 1060)(745, 1033, 767, 1055, 860, 1148)(747, 1035, 861, 1149, 761, 1049)(753, 1041, 862, 1150, 754, 1042)(758, 1046, 785, 1073, 759, 1047)(762, 1050, 863, 1151, 765, 1053)(771, 1059, 864, 1152, 776, 1064)
	L = (1, 578)(2, 577)(3, 583)(4, 584)(5, 585)(6, 586)(7, 579)(8, 580)(9, 581)(10, 582)(11, 595)(12, 596)(13, 597)(14, 598)(15, 599)(16, 600)(17, 601)(18, 602)(19, 587)(20, 588)(21, 589)(22, 590)(23, 591)(24, 592)(25, 593)(26, 594)(27, 619)(28, 620)(29, 613)(30, 621)(31, 622)(32, 616)(33, 623)(34, 624)(35, 625)(36, 626)(37, 605)(38, 627)(39, 628)(40, 608)(41, 629)(42, 630)(43, 603)(44, 604)(45, 606)(46, 607)(47, 609)(48, 610)(49, 611)(50, 612)(51, 614)(52, 615)(53, 617)(54, 618)(55, 649)(56, 650)(57, 651)(58, 652)(59, 653)(60, 654)(61, 655)(62, 656)(63, 657)(64, 658)(65, 659)(66, 660)(67, 661)(68, 662)(69, 663)(70, 664)(71, 665)(72, 666)(73, 631)(74, 632)(75, 633)(76, 634)(77, 635)(78, 636)(79, 637)(80, 638)(81, 639)(82, 640)(83, 641)(84, 642)(85, 643)(86, 644)(87, 645)(88, 646)(89, 647)(90, 648)(91, 691)(92, 692)(93, 693)(94, 694)(95, 695)(96, 684)(97, 696)(98, 697)(99, 687)(100, 698)(101, 699)(102, 700)(103, 734)(104, 769)(105, 770)(106, 707)(107, 773)(108, 672)(109, 774)(110, 757)(111, 675)(112, 778)(113, 712)(114, 780)(115, 667)(116, 668)(117, 669)(118, 670)(119, 671)(120, 673)(121, 674)(122, 676)(123, 677)(124, 678)(125, 792)(126, 788)(127, 772)(128, 799)(129, 763)(130, 804)(131, 682)(132, 783)(133, 810)(134, 749)(135, 815)(136, 689)(137, 819)(138, 742)(139, 821)(140, 826)(141, 828)(142, 831)(143, 834)(144, 787)(145, 727)(146, 806)(147, 768)(148, 738)(149, 817)(150, 845)(151, 721)(152, 801)(153, 761)(154, 745)(155, 825)(156, 842)(157, 844)(158, 679)(159, 781)(160, 851)(161, 854)(162, 724)(163, 794)(164, 765)(165, 823)(166, 714)(167, 798)(168, 838)(169, 730)(170, 796)(171, 776)(172, 814)(173, 710)(174, 803)(175, 848)(176, 835)(177, 855)(178, 853)(179, 836)(180, 830)(181, 686)(182, 857)(183, 856)(184, 832)(185, 729)(186, 771)(187, 705)(188, 858)(189, 740)(190, 809)(191, 864)(192, 723)(193, 680)(194, 681)(195, 762)(196, 703)(197, 683)(198, 685)(199, 860)(200, 747)(201, 812)(202, 688)(203, 863)(204, 690)(205, 735)(206, 833)(207, 708)(208, 789)(209, 862)(210, 811)(211, 720)(212, 702)(213, 784)(214, 852)(215, 829)(216, 701)(217, 816)(218, 739)(219, 824)(220, 746)(221, 820)(222, 743)(223, 704)(224, 805)(225, 728)(226, 827)(227, 750)(228, 706)(229, 800)(230, 722)(231, 839)(232, 843)(233, 766)(234, 709)(235, 786)(236, 777)(237, 840)(238, 748)(239, 711)(240, 793)(241, 725)(242, 846)(243, 713)(244, 797)(245, 715)(246, 849)(247, 741)(248, 795)(249, 731)(250, 716)(251, 802)(252, 717)(253, 791)(254, 756)(255, 718)(256, 760)(257, 782)(258, 719)(259, 752)(260, 755)(261, 859)(262, 744)(263, 807)(264, 813)(265, 850)(266, 732)(267, 808)(268, 733)(269, 726)(270, 818)(271, 861)(272, 751)(273, 822)(274, 841)(275, 736)(276, 790)(277, 754)(278, 737)(279, 753)(280, 759)(281, 758)(282, 764)(283, 837)(284, 775)(285, 847)(286, 785)(287, 779)(288, 767)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.2393
Graph:: bipartite
	v = 240 e = 576 f = 300
	degree seq :: [ 4^144, 6^96 ]

E19.2391 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = C3 x (((C4 x C4) : C3) : C2) (small group id <288, 397>)
Aut   = $<576, 5053>$ (small group id <576, 5053>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y2^2 * Y1^-1, (Y2^2 * Y1^-1)^3, Y2^-5 * Y1^-1 * Y2^7 * Y1^-1 * Y2^-4, Y2^3 * Y1 * Y2^-2 * Y1 * Y2^11 * Y1 * Y2^-2 * Y1 ]
Map::
	R = (1, 289, 2, 290, 4, 292)(3, 291, 8, 296, 10, 298)(5, 293, 12, 300, 6, 294)(7, 295, 15, 303, 11, 299)(9, 297, 18, 306, 20, 308)(13, 301, 25, 313, 23, 311)(14, 302, 24, 312, 28, 316)(16, 304, 31, 319, 29, 317)(17, 305, 33, 321, 21, 309)(19, 307, 36, 324, 38, 326)(22, 310, 30, 318, 42, 330)(26, 314, 47, 335, 45, 333)(27, 315, 49, 337, 51, 339)(32, 320, 56, 344, 55, 343)(34, 322, 59, 347, 58, 346)(35, 323, 53, 341, 39, 327)(37, 325, 63, 351, 65, 353)(40, 328, 52, 340, 44, 332)(41, 329, 68, 356, 70, 358)(43, 331, 46, 334, 54, 342)(48, 336, 76, 364, 74, 362)(50, 338, 79, 367, 81, 369)(57, 345, 87, 375, 85, 373)(60, 348, 91, 379, 90, 378)(61, 349, 93, 381, 82, 370)(62, 350, 89, 377, 66, 354)(64, 352, 97, 385, 99, 387)(67, 355, 72, 360, 102, 390)(69, 357, 104, 392, 106, 394)(71, 359, 83, 371, 108, 396)(73, 361, 75, 363, 78, 366)(77, 365, 114, 402, 112, 400)(80, 368, 118, 406, 120, 408)(84, 372, 86, 374, 103, 391)(88, 376, 128, 416, 126, 414)(92, 380, 134, 422, 132, 420)(94, 382, 125, 413, 127, 415)(95, 383, 137, 425, 130, 418)(96, 384, 122, 410, 100, 388)(98, 386, 141, 429, 143, 431)(101, 389, 121, 409, 117, 405)(105, 393, 148, 436, 150, 438)(107, 395, 151, 439, 147, 435)(109, 397, 131, 419, 133, 421)(110, 398, 116, 404, 155, 443)(111, 399, 113, 401, 123, 411)(115, 403, 160, 448, 158, 446)(119, 407, 165, 453, 167, 455)(124, 412, 146, 434, 172, 460)(129, 417, 177, 465, 175, 463)(135, 423, 184, 472, 182, 470)(136, 424, 186, 474, 173, 461)(138, 426, 181, 469, 183, 471)(139, 427, 189, 477, 169, 457)(140, 428, 179, 467, 144, 432)(142, 430, 193, 481, 195, 483)(145, 433, 163, 451, 198, 486)(149, 437, 202, 490, 204, 492)(152, 440, 200, 488, 207, 495)(153, 441, 208, 496, 180, 468)(154, 442, 168, 456, 164, 452)(156, 444, 170, 458, 212, 500)(157, 445, 159, 447, 162, 450)(161, 449, 217, 505, 215, 503)(166, 454, 223, 511, 225, 513)(171, 459, 205, 493, 201, 489)(174, 462, 176, 464, 199, 487)(178, 466, 235, 523, 233, 521)(185, 473, 243, 531, 241, 529)(187, 475, 232, 520, 234, 522)(188, 476, 247, 535, 239, 527)(190, 478, 230, 518, 245, 533)(191, 479, 250, 538, 237, 525)(192, 480, 227, 515, 196, 484)(194, 482, 224, 512, 255, 543)(197, 485, 226, 514, 222, 510)(203, 491, 263, 551, 254, 542)(206, 494, 264, 552, 262, 550)(209, 497, 240, 528, 242, 530)(210, 498, 221, 509, 267, 555)(211, 499, 265, 553, 260, 548)(213, 501, 219, 507, 268, 556)(214, 502, 216, 504, 228, 516)(218, 506, 236, 524, 244, 532)(220, 508, 238, 526, 258, 546)(229, 517, 261, 549, 277, 565)(231, 519, 259, 547, 278, 566)(246, 534, 269, 557, 270, 558)(248, 536, 276, 564, 284, 572)(249, 537, 286, 574, 272, 560)(251, 539, 282, 570, 285, 573)(252, 540, 275, 563, 274, 562)(253, 541, 280, 568, 256, 544)(257, 545, 273, 561, 287, 575)(266, 554, 279, 567, 283, 571)(271, 559, 288, 576, 281, 569)(577, 865, 579, 867, 585, 873, 595, 883, 613, 901, 640, 928, 674, 962, 718, 1006, 770, 1058, 830, 1118, 863, 1151, 853, 1141, 864, 1152, 854, 1142, 855, 1143, 811, 1099, 794, 1082, 737, 1025, 691, 979, 653, 941, 624, 912, 602, 890, 589, 877, 581, 869)(578, 866, 582, 870, 590, 878, 603, 891, 626, 914, 656, 944, 695, 983, 742, 1030, 800, 1088, 771, 1059, 832, 1120, 826, 1114, 861, 1149, 823, 1111, 860, 1148, 819, 1107, 812, 1100, 754, 1042, 705, 993, 664, 952, 633, 921, 608, 896, 592, 880, 583, 871)(580, 868, 587, 875, 598, 886, 617, 905, 645, 933, 681, 969, 725, 1013, 779, 1067, 831, 1119, 801, 1089, 851, 1139, 843, 1131, 862, 1150, 844, 1132, 845, 1133, 793, 1081, 820, 1108, 761, 1049, 711, 999, 668, 956, 636, 924, 610, 898, 593, 881, 584, 872)(586, 874, 597, 885, 616, 904, 643, 931, 677, 965, 721, 1009, 773, 1061, 833, 1121, 839, 1127, 780, 1068, 840, 1128, 783, 1071, 841, 1129, 788, 1076, 792, 1080, 736, 1024, 791, 1079, 822, 1110, 763, 1051, 712, 1000, 670, 958, 637, 925, 611, 899, 594, 882)(588, 876, 599, 887, 619, 907, 647, 935, 683, 971, 728, 1016, 782, 1070, 829, 1117, 769, 1057, 719, 1007, 772, 1060, 765, 1053, 821, 1109, 762, 1050, 810, 1098, 753, 1041, 809, 1097, 842, 1130, 785, 1073, 729, 1017, 685, 973, 648, 936, 620, 908, 600, 888)(591, 879, 605, 893, 629, 917, 658, 946, 698, 986, 745, 1033, 803, 1091, 850, 1138, 799, 1087, 743, 1031, 802, 1090, 774, 1062, 834, 1122, 784, 1072, 818, 1106, 760, 1048, 817, 1105, 852, 1140, 804, 1092, 746, 1034, 699, 987, 659, 947, 630, 918, 606, 894)(596, 884, 615, 903, 607, 895, 631, 919, 660, 948, 700, 988, 747, 1035, 805, 1093, 849, 1137, 798, 1086, 741, 1029, 696, 984, 744, 1032, 731, 1019, 735, 1023, 690, 978, 734, 1022, 790, 1078, 824, 1112, 764, 1052, 714, 1002, 671, 959, 638, 926, 612, 900)(601, 889, 621, 909, 649, 937, 686, 974, 730, 1018, 786, 1074, 828, 1116, 768, 1056, 717, 1005, 675, 963, 720, 1008, 713, 1001, 759, 1047, 710, 998, 758, 1046, 816, 1104, 859, 1147, 835, 1123, 775, 1063, 722, 1010, 679, 967, 644, 932, 618, 906, 622, 910)(604, 892, 628, 916, 609, 897, 634, 922, 665, 953, 706, 994, 755, 1043, 813, 1101, 856, 1144, 838, 1126, 778, 1066, 726, 1014, 781, 1069, 748, 1036, 752, 1040, 704, 992, 751, 1039, 808, 1096, 846, 1134, 795, 1083, 738, 1026, 692, 980, 654, 942, 625, 913)(614, 902, 642, 930, 635, 923, 666, 954, 707, 995, 756, 1044, 814, 1102, 857, 1145, 837, 1125, 777, 1065, 724, 1012, 682, 970, 727, 1015, 684, 972, 689, 977, 652, 940, 688, 976, 733, 1021, 789, 1077, 825, 1113, 766, 1054, 715, 1003, 672, 960, 639, 927)(623, 911, 650, 938, 687, 975, 732, 1020, 787, 1075, 827, 1115, 767, 1055, 716, 1004, 673, 961, 641, 929, 676, 964, 669, 957, 703, 991, 663, 951, 702, 990, 750, 1038, 807, 1095, 847, 1135, 796, 1084, 739, 1027, 693, 981, 655, 943, 627, 915, 651, 939)(632, 920, 661, 949, 701, 989, 749, 1037, 806, 1094, 848, 1136, 797, 1085, 740, 1028, 694, 982, 657, 945, 697, 985, 678, 966, 709, 997, 667, 955, 708, 996, 757, 1045, 815, 1103, 858, 1146, 836, 1124, 776, 1064, 723, 1011, 680, 968, 646, 934, 662, 950)
	L = (1, 579)(2, 582)(3, 585)(4, 587)(5, 577)(6, 590)(7, 578)(8, 580)(9, 595)(10, 597)(11, 598)(12, 599)(13, 581)(14, 603)(15, 605)(16, 583)(17, 584)(18, 586)(19, 613)(20, 615)(21, 616)(22, 617)(23, 619)(24, 588)(25, 621)(26, 589)(27, 626)(28, 628)(29, 629)(30, 591)(31, 631)(32, 592)(33, 634)(34, 593)(35, 594)(36, 596)(37, 640)(38, 642)(39, 607)(40, 643)(41, 645)(42, 622)(43, 647)(44, 600)(45, 649)(46, 601)(47, 650)(48, 602)(49, 604)(50, 656)(51, 651)(52, 609)(53, 658)(54, 606)(55, 660)(56, 661)(57, 608)(58, 665)(59, 666)(60, 610)(61, 611)(62, 612)(63, 614)(64, 674)(65, 676)(66, 635)(67, 677)(68, 618)(69, 681)(70, 662)(71, 683)(72, 620)(73, 686)(74, 687)(75, 623)(76, 688)(77, 624)(78, 625)(79, 627)(80, 695)(81, 697)(82, 698)(83, 630)(84, 700)(85, 701)(86, 632)(87, 702)(88, 633)(89, 706)(90, 707)(91, 708)(92, 636)(93, 703)(94, 637)(95, 638)(96, 639)(97, 641)(98, 718)(99, 720)(100, 669)(101, 721)(102, 709)(103, 644)(104, 646)(105, 725)(106, 727)(107, 728)(108, 689)(109, 648)(110, 730)(111, 732)(112, 733)(113, 652)(114, 734)(115, 653)(116, 654)(117, 655)(118, 657)(119, 742)(120, 744)(121, 678)(122, 745)(123, 659)(124, 747)(125, 749)(126, 750)(127, 663)(128, 751)(129, 664)(130, 755)(131, 756)(132, 757)(133, 667)(134, 758)(135, 668)(136, 670)(137, 759)(138, 671)(139, 672)(140, 673)(141, 675)(142, 770)(143, 772)(144, 713)(145, 773)(146, 679)(147, 680)(148, 682)(149, 779)(150, 781)(151, 684)(152, 782)(153, 685)(154, 786)(155, 735)(156, 787)(157, 789)(158, 790)(159, 690)(160, 791)(161, 691)(162, 692)(163, 693)(164, 694)(165, 696)(166, 800)(167, 802)(168, 731)(169, 803)(170, 699)(171, 805)(172, 752)(173, 806)(174, 807)(175, 808)(176, 704)(177, 809)(178, 705)(179, 813)(180, 814)(181, 815)(182, 816)(183, 710)(184, 817)(185, 711)(186, 810)(187, 712)(188, 714)(189, 821)(190, 715)(191, 716)(192, 717)(193, 719)(194, 830)(195, 832)(196, 765)(197, 833)(198, 834)(199, 722)(200, 723)(201, 724)(202, 726)(203, 831)(204, 840)(205, 748)(206, 829)(207, 841)(208, 818)(209, 729)(210, 828)(211, 827)(212, 792)(213, 825)(214, 824)(215, 822)(216, 736)(217, 820)(218, 737)(219, 738)(220, 739)(221, 740)(222, 741)(223, 743)(224, 771)(225, 851)(226, 774)(227, 850)(228, 746)(229, 849)(230, 848)(231, 847)(232, 846)(233, 842)(234, 753)(235, 794)(236, 754)(237, 856)(238, 857)(239, 858)(240, 859)(241, 852)(242, 760)(243, 812)(244, 761)(245, 762)(246, 763)(247, 860)(248, 764)(249, 766)(250, 861)(251, 767)(252, 768)(253, 769)(254, 863)(255, 801)(256, 826)(257, 839)(258, 784)(259, 775)(260, 776)(261, 777)(262, 778)(263, 780)(264, 783)(265, 788)(266, 785)(267, 862)(268, 845)(269, 793)(270, 795)(271, 796)(272, 797)(273, 798)(274, 799)(275, 843)(276, 804)(277, 864)(278, 855)(279, 811)(280, 838)(281, 837)(282, 836)(283, 835)(284, 819)(285, 823)(286, 844)(287, 853)(288, 854)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2392
Graph:: bipartite
	v = 108 e = 576 f = 432
	degree seq :: [ 6^96, 48^12 ]

E19.2392 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = C3 x (((C4 x C4) : C3) : C2) (small group id <288, 397>)
Aut   = $<576, 5053>$ (small group id <576, 5053>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3)^3, (Y3^3 * Y2)^3, Y3^-1 * Y2 * Y3^8 * Y2 * Y3^-7, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)(577, 865, 578, 866)(579, 867, 583, 871)(580, 868, 585, 873)(581, 869, 587, 875)(582, 870, 589, 877)(584, 872, 592, 880)(586, 874, 595, 883)(588, 876, 598, 886)(590, 878, 601, 889)(591, 879, 603, 891)(593, 881, 606, 894)(594, 882, 608, 896)(596, 884, 611, 899)(597, 885, 613, 901)(599, 887, 616, 904)(600, 888, 618, 906)(602, 890, 621, 909)(604, 892, 624, 912)(605, 893, 626, 914)(607, 895, 629, 917)(609, 897, 632, 920)(610, 898, 634, 922)(612, 900, 637, 925)(614, 902, 640, 928)(615, 903, 642, 930)(617, 905, 645, 933)(619, 907, 648, 936)(620, 908, 650, 938)(622, 910, 653, 941)(623, 911, 639, 927)(625, 913, 656, 944)(627, 915, 651, 939)(628, 916, 659, 947)(630, 918, 662, 950)(631, 919, 647, 935)(633, 921, 665, 953)(635, 923, 643, 931)(636, 924, 668, 956)(638, 926, 671, 959)(641, 929, 674, 962)(644, 932, 677, 965)(646, 934, 680, 968)(649, 937, 683, 971)(652, 940, 686, 974)(654, 942, 689, 977)(655, 943, 691, 979)(657, 945, 694, 982)(658, 946, 696, 984)(660, 948, 692, 980)(661, 949, 699, 987)(663, 951, 702, 990)(664, 952, 704, 992)(666, 954, 707, 995)(667, 955, 709, 997)(669, 957, 705, 993)(670, 958, 712, 1000)(672, 960, 715, 1003)(673, 961, 717, 1005)(675, 963, 720, 1008)(676, 964, 722, 1010)(678, 966, 718, 1006)(679, 967, 725, 1013)(681, 969, 728, 1016)(682, 970, 730, 1018)(684, 972, 733, 1021)(685, 973, 735, 1023)(687, 975, 731, 1019)(688, 976, 738, 1026)(690, 978, 741, 1029)(693, 981, 719, 1007)(695, 983, 745, 1033)(697, 985, 739, 1027)(698, 986, 748, 1036)(700, 988, 736, 1024)(701, 989, 751, 1039)(703, 991, 754, 1042)(706, 994, 732, 1020)(708, 996, 758, 1046)(710, 998, 726, 1014)(711, 999, 761, 1049)(713, 1001, 723, 1011)(714, 1002, 764, 1052)(716, 1004, 767, 1055)(721, 1009, 771, 1059)(724, 1012, 774, 1062)(727, 1015, 777, 1065)(729, 1017, 780, 1068)(734, 1022, 784, 1072)(737, 1025, 787, 1075)(740, 1028, 790, 1078)(742, 1030, 793, 1081)(743, 1031, 795, 1083)(744, 1032, 797, 1085)(746, 1034, 800, 1088)(747, 1035, 802, 1090)(749, 1037, 798, 1086)(750, 1038, 805, 1093)(752, 1040, 796, 1084)(753, 1041, 808, 1096)(755, 1043, 781, 1069)(756, 1044, 812, 1100)(757, 1045, 814, 1102)(759, 1047, 817, 1105)(760, 1048, 818, 1106)(762, 1050, 815, 1103)(763, 1051, 819, 1107)(765, 1053, 813, 1101)(766, 1054, 820, 1108)(768, 1056, 794, 1082)(769, 1057, 822, 1110)(770, 1058, 824, 1112)(772, 1060, 827, 1115)(773, 1061, 829, 1117)(775, 1063, 825, 1113)(776, 1064, 832, 1120)(778, 1066, 823, 1111)(779, 1067, 835, 1123)(782, 1070, 839, 1127)(783, 1071, 841, 1129)(785, 1073, 844, 1132)(786, 1074, 845, 1133)(788, 1076, 842, 1130)(789, 1077, 846, 1134)(791, 1079, 840, 1128)(792, 1080, 847, 1135)(799, 1087, 826, 1114)(801, 1089, 848, 1136)(803, 1091, 830, 1118)(804, 1092, 852, 1140)(806, 1094, 833, 1121)(807, 1095, 853, 1141)(809, 1097, 836, 1124)(810, 1098, 838, 1126)(811, 1099, 837, 1125)(816, 1104, 843, 1131)(821, 1109, 828, 1116)(831, 1119, 859, 1147)(834, 1122, 860, 1148)(849, 1137, 861, 1149)(850, 1138, 863, 1151)(851, 1139, 862, 1150)(854, 1142, 856, 1144)(855, 1143, 858, 1146)(857, 1145, 864, 1152)
	L = (1, 579)(2, 581)(3, 584)(4, 577)(5, 588)(6, 578)(7, 589)(8, 593)(9, 594)(10, 580)(11, 585)(12, 599)(13, 600)(14, 582)(15, 583)(16, 603)(17, 607)(18, 609)(19, 610)(20, 586)(21, 587)(22, 613)(23, 617)(24, 619)(25, 620)(26, 590)(27, 623)(28, 591)(29, 592)(30, 626)(31, 630)(32, 595)(33, 633)(34, 635)(35, 636)(36, 596)(37, 639)(38, 597)(39, 598)(40, 642)(41, 646)(42, 601)(43, 649)(44, 651)(45, 652)(46, 602)(47, 640)(48, 655)(49, 604)(50, 650)(51, 605)(52, 606)(53, 659)(54, 663)(55, 608)(56, 647)(57, 666)(58, 611)(59, 667)(60, 669)(61, 670)(62, 612)(63, 624)(64, 673)(65, 614)(66, 634)(67, 615)(68, 616)(69, 677)(70, 681)(71, 618)(72, 631)(73, 684)(74, 621)(75, 685)(76, 687)(77, 688)(78, 622)(79, 692)(80, 693)(81, 625)(82, 627)(83, 691)(84, 628)(85, 629)(86, 699)(87, 703)(88, 632)(89, 704)(90, 708)(91, 710)(92, 637)(93, 711)(94, 713)(95, 714)(96, 638)(97, 718)(98, 719)(99, 641)(100, 643)(101, 717)(102, 644)(103, 645)(104, 725)(105, 729)(106, 648)(107, 730)(108, 734)(109, 736)(110, 653)(111, 737)(112, 739)(113, 740)(114, 654)(115, 656)(116, 743)(117, 720)(118, 744)(119, 657)(120, 738)(121, 658)(122, 660)(123, 735)(124, 661)(125, 662)(126, 751)(127, 755)(128, 668)(129, 664)(130, 665)(131, 732)(132, 759)(133, 722)(134, 760)(135, 762)(136, 671)(137, 763)(138, 765)(139, 766)(140, 672)(141, 674)(142, 769)(143, 694)(144, 770)(145, 675)(146, 712)(147, 676)(148, 678)(149, 709)(150, 679)(151, 680)(152, 777)(153, 781)(154, 686)(155, 682)(156, 683)(157, 706)(158, 785)(159, 696)(160, 786)(161, 788)(162, 689)(163, 789)(164, 791)(165, 792)(166, 690)(167, 796)(168, 798)(169, 799)(170, 695)(171, 697)(172, 797)(173, 698)(174, 700)(175, 795)(176, 701)(177, 702)(178, 808)(179, 811)(180, 705)(181, 707)(182, 814)(183, 810)(184, 809)(185, 812)(186, 807)(187, 806)(188, 715)(189, 804)(190, 803)(191, 801)(192, 716)(193, 823)(194, 825)(195, 826)(196, 721)(197, 723)(198, 824)(199, 724)(200, 726)(201, 822)(202, 727)(203, 728)(204, 835)(205, 838)(206, 731)(207, 733)(208, 841)(209, 837)(210, 836)(211, 839)(212, 834)(213, 833)(214, 741)(215, 831)(216, 830)(217, 828)(218, 742)(219, 748)(220, 849)(221, 745)(222, 850)(223, 827)(224, 851)(225, 746)(226, 847)(227, 747)(228, 749)(229, 846)(230, 750)(231, 752)(232, 845)(233, 753)(234, 754)(235, 854)(236, 764)(237, 756)(238, 761)(239, 757)(240, 758)(241, 843)(242, 832)(243, 829)(244, 767)(245, 768)(246, 774)(247, 856)(248, 771)(249, 857)(250, 800)(251, 858)(252, 772)(253, 820)(254, 773)(255, 775)(256, 819)(257, 776)(258, 778)(259, 818)(260, 779)(261, 780)(262, 861)(263, 790)(264, 782)(265, 787)(266, 783)(267, 784)(268, 816)(269, 805)(270, 802)(271, 793)(272, 794)(273, 817)(274, 815)(275, 813)(276, 862)(277, 863)(278, 860)(279, 821)(280, 844)(281, 842)(282, 840)(283, 855)(284, 864)(285, 853)(286, 848)(287, 852)(288, 859)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	local type(s) :: { ( 6, 48 ), ( 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.2391
Graph:: simple bipartite
	v = 432 e = 576 f = 108
	degree seq :: [ 2^288, 4^144 ]

E19.2393 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = C3 x (((C4 x C4) : C3) : C2) (small group id <288, 397>)
Aut   = $<576, 5053>$ (small group id <576, 5053>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y1^-1 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^2 * Y1 * Y3, Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1, Y3 * Y1^-2 * Y3 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, Y3 * Y1^8 * Y3^-1 * Y1^-8, Y3 * Y1^-4 * Y3 * Y1^4 * Y3^-1 * Y1^4 * Y3^-1 * Y1^-4, Y1^24 ]
Map:: polytopal
	R = (1, 289, 2, 290, 5, 293, 11, 299, 21, 309, 37, 325, 63, 351, 97, 385, 141, 429, 193, 481, 246, 534, 280, 568, 288, 576, 287, 575, 279, 567, 245, 533, 192, 480, 140, 428, 96, 384, 62, 350, 36, 324, 20, 308, 10, 298, 4, 292)(3, 291, 7, 295, 15, 303, 27, 315, 47, 335, 79, 367, 115, 403, 167, 455, 194, 482, 248, 536, 282, 570, 252, 540, 283, 571, 256, 544, 284, 572, 272, 560, 235, 523, 179, 467, 127, 415, 87, 375, 54, 342, 31, 319, 17, 305, 8, 296)(6, 294, 13, 301, 25, 313, 43, 331, 73, 361, 109, 397, 157, 445, 211, 499, 247, 535, 219, 507, 273, 561, 242, 530, 275, 563, 243, 531, 277, 565, 244, 532, 191, 479, 218, 506, 166, 454, 114, 402, 78, 366, 46, 334, 26, 314, 14, 302)(9, 297, 18, 306, 32, 320, 55, 343, 88, 376, 128, 416, 180, 468, 196, 484, 142, 430, 195, 483, 249, 537, 202, 490, 253, 541, 209, 497, 259, 547, 234, 522, 278, 566, 228, 516, 175, 463, 122, 410, 84, 372, 51, 339, 29, 317, 16, 304)(12, 300, 23, 311, 41, 329, 69, 357, 105, 393, 152, 440, 207, 495, 257, 545, 281, 569, 261, 549, 238, 526, 181, 469, 237, 525, 186, 474, 240, 528, 189, 477, 139, 427, 190, 478, 210, 498, 156, 444, 108, 396, 72, 360, 42, 330, 24, 312)(19, 307, 34, 322, 58, 346, 91, 379, 133, 421, 184, 472, 198, 486, 144, 432, 98, 386, 143, 431, 197, 485, 150, 438, 204, 492, 165, 453, 216, 504, 269, 557, 286, 574, 266, 554, 214, 502, 161, 449, 111, 399, 74, 362, 57, 345, 33, 321)(22, 310, 39, 327, 67, 355, 53, 341, 85, 373, 123, 411, 176, 464, 229, 517, 274, 562, 222, 510, 170, 458, 116, 404, 169, 457, 134, 422, 173, 461, 137, 425, 95, 383, 138, 426, 188, 476, 206, 494, 151, 439, 104, 392, 68, 356, 40, 328)(28, 316, 49, 337, 70, 358, 45, 333, 76, 364, 103, 391, 149, 437, 199, 487, 251, 539, 236, 524, 263, 551, 212, 500, 262, 550, 230, 518, 265, 553, 232, 520, 178, 466, 233, 521, 260, 548, 226, 514, 174, 462, 120, 408, 83, 371, 50, 338)(30, 318, 52, 340, 71, 359, 106, 394, 147, 435, 201, 489, 250, 538, 221, 509, 168, 456, 220, 508, 258, 546, 224, 512, 268, 556, 227, 515, 270, 558, 217, 505, 271, 559, 241, 529, 183, 471, 132, 420, 90, 378, 56, 344, 75, 363, 44, 332)(35, 323, 60, 348, 92, 380, 135, 423, 185, 473, 200, 488, 146, 434, 100, 388, 64, 352, 99, 387, 145, 433, 107, 395, 154, 442, 126, 414, 177, 465, 231, 519, 276, 564, 225, 513, 172, 460, 119, 407, 82, 370, 48, 336, 81, 369, 59, 347)(38, 326, 65, 353, 101, 389, 77, 365, 112, 400, 162, 450, 215, 503, 267, 555, 285, 573, 264, 552, 213, 501, 158, 446, 131, 419, 89, 377, 130, 418, 93, 381, 61, 349, 94, 382, 136, 424, 187, 475, 203, 491, 148, 436, 102, 390, 66, 354)(80, 368, 117, 405, 153, 441, 121, 409, 163, 451, 113, 401, 164, 452, 205, 493, 255, 543, 239, 527, 182, 470, 129, 417, 160, 448, 110, 398, 159, 447, 124, 412, 86, 374, 125, 413, 155, 443, 208, 496, 254, 542, 223, 511, 171, 459, 118, 406)(577, 865)(578, 866)(579, 867)(580, 868)(581, 869)(582, 870)(583, 871)(584, 872)(585, 873)(586, 874)(587, 875)(588, 876)(589, 877)(590, 878)(591, 879)(592, 880)(593, 881)(594, 882)(595, 883)(596, 884)(597, 885)(598, 886)(599, 887)(600, 888)(601, 889)(602, 890)(603, 891)(604, 892)(605, 893)(606, 894)(607, 895)(608, 896)(609, 897)(610, 898)(611, 899)(612, 900)(613, 901)(614, 902)(615, 903)(616, 904)(617, 905)(618, 906)(619, 907)(620, 908)(621, 909)(622, 910)(623, 911)(624, 912)(625, 913)(626, 914)(627, 915)(628, 916)(629, 917)(630, 918)(631, 919)(632, 920)(633, 921)(634, 922)(635, 923)(636, 924)(637, 925)(638, 926)(639, 927)(640, 928)(641, 929)(642, 930)(643, 931)(644, 932)(645, 933)(646, 934)(647, 935)(648, 936)(649, 937)(650, 938)(651, 939)(652, 940)(653, 941)(654, 942)(655, 943)(656, 944)(657, 945)(658, 946)(659, 947)(660, 948)(661, 949)(662, 950)(663, 951)(664, 952)(665, 953)(666, 954)(667, 955)(668, 956)(669, 957)(670, 958)(671, 959)(672, 960)(673, 961)(674, 962)(675, 963)(676, 964)(677, 965)(678, 966)(679, 967)(680, 968)(681, 969)(682, 970)(683, 971)(684, 972)(685, 973)(686, 974)(687, 975)(688, 976)(689, 977)(690, 978)(691, 979)(692, 980)(693, 981)(694, 982)(695, 983)(696, 984)(697, 985)(698, 986)(699, 987)(700, 988)(701, 989)(702, 990)(703, 991)(704, 992)(705, 993)(706, 994)(707, 995)(708, 996)(709, 997)(710, 998)(711, 999)(712, 1000)(713, 1001)(714, 1002)(715, 1003)(716, 1004)(717, 1005)(718, 1006)(719, 1007)(720, 1008)(721, 1009)(722, 1010)(723, 1011)(724, 1012)(725, 1013)(726, 1014)(727, 1015)(728, 1016)(729, 1017)(730, 1018)(731, 1019)(732, 1020)(733, 1021)(734, 1022)(735, 1023)(736, 1024)(737, 1025)(738, 1026)(739, 1027)(740, 1028)(741, 1029)(742, 1030)(743, 1031)(744, 1032)(745, 1033)(746, 1034)(747, 1035)(748, 1036)(749, 1037)(750, 1038)(751, 1039)(752, 1040)(753, 1041)(754, 1042)(755, 1043)(756, 1044)(757, 1045)(758, 1046)(759, 1047)(760, 1048)(761, 1049)(762, 1050)(763, 1051)(764, 1052)(765, 1053)(766, 1054)(767, 1055)(768, 1056)(769, 1057)(770, 1058)(771, 1059)(772, 1060)(773, 1061)(774, 1062)(775, 1063)(776, 1064)(777, 1065)(778, 1066)(779, 1067)(780, 1068)(781, 1069)(782, 1070)(783, 1071)(784, 1072)(785, 1073)(786, 1074)(787, 1075)(788, 1076)(789, 1077)(790, 1078)(791, 1079)(792, 1080)(793, 1081)(794, 1082)(795, 1083)(796, 1084)(797, 1085)(798, 1086)(799, 1087)(800, 1088)(801, 1089)(802, 1090)(803, 1091)(804, 1092)(805, 1093)(806, 1094)(807, 1095)(808, 1096)(809, 1097)(810, 1098)(811, 1099)(812, 1100)(813, 1101)(814, 1102)(815, 1103)(816, 1104)(817, 1105)(818, 1106)(819, 1107)(820, 1108)(821, 1109)(822, 1110)(823, 1111)(824, 1112)(825, 1113)(826, 1114)(827, 1115)(828, 1116)(829, 1117)(830, 1118)(831, 1119)(832, 1120)(833, 1121)(834, 1122)(835, 1123)(836, 1124)(837, 1125)(838, 1126)(839, 1127)(840, 1128)(841, 1129)(842, 1130)(843, 1131)(844, 1132)(845, 1133)(846, 1134)(847, 1135)(848, 1136)(849, 1137)(850, 1138)(851, 1139)(852, 1140)(853, 1141)(854, 1142)(855, 1143)(856, 1144)(857, 1145)(858, 1146)(859, 1147)(860, 1148)(861, 1149)(862, 1150)(863, 1151)(864, 1152)
	L = (1, 579)(2, 582)(3, 577)(4, 585)(5, 588)(6, 578)(7, 592)(8, 589)(9, 580)(10, 595)(11, 598)(12, 581)(13, 584)(14, 599)(15, 604)(16, 583)(17, 606)(18, 609)(19, 586)(20, 611)(21, 614)(22, 587)(23, 590)(24, 615)(25, 620)(26, 621)(27, 624)(28, 591)(29, 625)(30, 593)(31, 629)(32, 632)(33, 594)(34, 635)(35, 596)(36, 637)(37, 640)(38, 597)(39, 600)(40, 641)(41, 646)(42, 647)(43, 650)(44, 601)(45, 602)(46, 653)(47, 656)(48, 603)(49, 605)(50, 657)(51, 645)(52, 643)(53, 607)(54, 662)(55, 665)(56, 608)(57, 651)(58, 659)(59, 610)(60, 669)(61, 612)(62, 671)(63, 674)(64, 613)(65, 616)(66, 675)(67, 628)(68, 679)(69, 627)(70, 617)(71, 618)(72, 683)(73, 686)(74, 619)(75, 633)(76, 677)(77, 622)(78, 689)(79, 692)(80, 623)(81, 626)(82, 693)(83, 634)(84, 697)(85, 700)(86, 630)(87, 702)(88, 705)(89, 631)(90, 706)(91, 710)(92, 708)(93, 636)(94, 713)(95, 638)(96, 715)(97, 718)(98, 639)(99, 642)(100, 719)(101, 652)(102, 723)(103, 644)(104, 726)(105, 729)(106, 721)(107, 648)(108, 731)(109, 734)(110, 649)(111, 735)(112, 739)(113, 654)(114, 741)(115, 744)(116, 655)(117, 658)(118, 745)(119, 728)(120, 749)(121, 660)(122, 738)(123, 737)(124, 661)(125, 730)(126, 663)(127, 754)(128, 757)(129, 664)(130, 666)(131, 736)(132, 668)(133, 747)(134, 667)(135, 762)(136, 750)(137, 670)(138, 765)(139, 672)(140, 767)(141, 770)(142, 673)(143, 676)(144, 771)(145, 682)(146, 775)(147, 678)(148, 778)(149, 773)(150, 680)(151, 781)(152, 695)(153, 681)(154, 701)(155, 684)(156, 785)(157, 788)(158, 685)(159, 687)(160, 707)(161, 699)(162, 698)(163, 688)(164, 780)(165, 690)(166, 793)(167, 795)(168, 691)(169, 694)(170, 796)(171, 709)(172, 800)(173, 696)(174, 712)(175, 803)(176, 806)(177, 808)(178, 703)(179, 810)(180, 812)(181, 704)(182, 813)(183, 816)(184, 818)(185, 815)(186, 711)(187, 819)(188, 817)(189, 714)(190, 820)(191, 716)(192, 811)(193, 823)(194, 717)(195, 720)(196, 824)(197, 725)(198, 826)(199, 722)(200, 828)(201, 825)(202, 724)(203, 830)(204, 740)(205, 727)(206, 832)(207, 834)(208, 829)(209, 732)(210, 836)(211, 837)(212, 733)(213, 838)(214, 841)(215, 844)(216, 846)(217, 742)(218, 848)(219, 743)(220, 746)(221, 849)(222, 833)(223, 851)(224, 748)(225, 843)(226, 853)(227, 751)(228, 845)(229, 840)(230, 752)(231, 842)(232, 753)(233, 835)(234, 755)(235, 768)(236, 756)(237, 758)(238, 839)(239, 761)(240, 759)(241, 764)(242, 760)(243, 763)(244, 766)(245, 854)(246, 857)(247, 769)(248, 772)(249, 777)(250, 774)(251, 858)(252, 776)(253, 784)(254, 779)(255, 859)(256, 782)(257, 798)(258, 783)(259, 809)(260, 786)(261, 787)(262, 789)(263, 814)(264, 805)(265, 790)(266, 807)(267, 801)(268, 791)(269, 804)(270, 792)(271, 860)(272, 794)(273, 797)(274, 856)(275, 799)(276, 863)(277, 802)(278, 821)(279, 862)(280, 850)(281, 822)(282, 827)(283, 831)(284, 847)(285, 864)(286, 855)(287, 852)(288, 861)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	local type(s) :: { ( 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2390
Graph:: simple bipartite
	v = 300 e = 576 f = 240
	degree seq :: [ 2^288, 48^12 ]

E19.2394 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = C3 x (((C4 x C4) : C3) : C2) (small group id <288, 397>)
Aut   = $<576, 5053>$ (small group id <576, 5053>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, (Y3 * Y2^-1)^3, Y2^3 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1, Y2^4 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1 * Y2^4 * Y1, Y2^-6 * Y1 * Y2^8 * Y1 * Y2^-2, (Y2^-2 * R * Y2^-6)^2, Y2^24 ]
Map::
	R = (1, 289, 2, 290)(3, 291, 7, 295)(4, 292, 9, 297)(5, 293, 11, 299)(6, 294, 13, 301)(8, 296, 16, 304)(10, 298, 19, 307)(12, 300, 22, 310)(14, 302, 25, 313)(15, 303, 27, 315)(17, 305, 30, 318)(18, 306, 32, 320)(20, 308, 35, 323)(21, 309, 37, 325)(23, 311, 40, 328)(24, 312, 42, 330)(26, 314, 45, 333)(28, 316, 48, 336)(29, 317, 50, 338)(31, 319, 53, 341)(33, 321, 56, 344)(34, 322, 58, 346)(36, 324, 61, 349)(38, 326, 64, 352)(39, 327, 66, 354)(41, 329, 69, 357)(43, 331, 72, 360)(44, 332, 74, 362)(46, 334, 77, 365)(47, 335, 63, 351)(49, 337, 80, 368)(51, 339, 75, 363)(52, 340, 83, 371)(54, 342, 86, 374)(55, 343, 71, 359)(57, 345, 89, 377)(59, 347, 67, 355)(60, 348, 92, 380)(62, 350, 95, 383)(65, 353, 98, 386)(68, 356, 101, 389)(70, 358, 104, 392)(73, 361, 107, 395)(76, 364, 110, 398)(78, 366, 113, 401)(79, 367, 115, 403)(81, 369, 118, 406)(82, 370, 120, 408)(84, 372, 116, 404)(85, 373, 123, 411)(87, 375, 126, 414)(88, 376, 128, 416)(90, 378, 131, 419)(91, 379, 133, 421)(93, 381, 129, 417)(94, 382, 136, 424)(96, 384, 139, 427)(97, 385, 141, 429)(99, 387, 144, 432)(100, 388, 146, 434)(102, 390, 142, 430)(103, 391, 149, 437)(105, 393, 152, 440)(106, 394, 154, 442)(108, 396, 157, 445)(109, 397, 159, 447)(111, 399, 155, 443)(112, 400, 162, 450)(114, 402, 165, 453)(117, 405, 143, 431)(119, 407, 169, 457)(121, 409, 163, 451)(122, 410, 172, 460)(124, 412, 160, 448)(125, 413, 175, 463)(127, 415, 178, 466)(130, 418, 156, 444)(132, 420, 182, 470)(134, 422, 150, 438)(135, 423, 185, 473)(137, 425, 147, 435)(138, 426, 188, 476)(140, 428, 191, 479)(145, 433, 195, 483)(148, 436, 198, 486)(151, 439, 201, 489)(153, 441, 204, 492)(158, 446, 208, 496)(161, 449, 211, 499)(164, 452, 214, 502)(166, 454, 217, 505)(167, 455, 219, 507)(168, 456, 221, 509)(170, 458, 224, 512)(171, 459, 226, 514)(173, 461, 222, 510)(174, 462, 229, 517)(176, 464, 220, 508)(177, 465, 232, 520)(179, 467, 205, 493)(180, 468, 236, 524)(181, 469, 238, 526)(183, 471, 241, 529)(184, 472, 242, 530)(186, 474, 239, 527)(187, 475, 243, 531)(189, 477, 237, 525)(190, 478, 244, 532)(192, 480, 218, 506)(193, 481, 246, 534)(194, 482, 248, 536)(196, 484, 251, 539)(197, 485, 253, 541)(199, 487, 249, 537)(200, 488, 256, 544)(202, 490, 247, 535)(203, 491, 259, 547)(206, 494, 263, 551)(207, 495, 265, 553)(209, 497, 268, 556)(210, 498, 269, 557)(212, 500, 266, 554)(213, 501, 270, 558)(215, 503, 264, 552)(216, 504, 271, 559)(223, 511, 250, 538)(225, 513, 272, 560)(227, 515, 254, 542)(228, 516, 276, 564)(230, 518, 257, 545)(231, 519, 277, 565)(233, 521, 260, 548)(234, 522, 262, 550)(235, 523, 261, 549)(240, 528, 267, 555)(245, 533, 252, 540)(255, 543, 283, 571)(258, 546, 284, 572)(273, 561, 285, 573)(274, 562, 287, 575)(275, 563, 286, 574)(278, 566, 280, 568)(279, 567, 282, 570)(281, 569, 288, 576)(577, 865, 579, 867, 584, 872, 593, 881, 607, 895, 630, 918, 663, 951, 703, 991, 755, 1043, 811, 1099, 854, 1142, 860, 1148, 864, 1152, 859, 1147, 855, 1143, 821, 1109, 768, 1056, 716, 1004, 672, 960, 638, 926, 612, 900, 596, 884, 586, 874, 580, 868)(578, 866, 581, 869, 588, 876, 599, 887, 617, 905, 646, 934, 681, 969, 729, 1017, 781, 1069, 838, 1126, 861, 1149, 853, 1141, 863, 1151, 852, 1140, 862, 1150, 848, 1136, 794, 1082, 742, 1030, 690, 978, 654, 942, 622, 910, 602, 890, 590, 878, 582, 870)(583, 871, 589, 877, 600, 888, 619, 907, 649, 937, 684, 972, 734, 1022, 785, 1073, 837, 1125, 780, 1068, 835, 1123, 818, 1106, 832, 1120, 819, 1107, 829, 1117, 820, 1108, 767, 1055, 801, 1089, 746, 1034, 695, 983, 657, 945, 625, 913, 604, 892, 591, 879)(585, 873, 594, 882, 609, 897, 633, 921, 666, 954, 708, 996, 759, 1047, 810, 1098, 754, 1042, 808, 1096, 845, 1133, 805, 1093, 846, 1134, 802, 1090, 847, 1135, 793, 1081, 828, 1116, 772, 1060, 721, 1009, 675, 963, 641, 929, 614, 902, 597, 885, 587, 875)(592, 880, 603, 891, 623, 911, 640, 928, 673, 961, 718, 1006, 769, 1057, 823, 1111, 856, 1144, 844, 1132, 816, 1104, 758, 1046, 814, 1102, 761, 1049, 812, 1100, 764, 1052, 715, 1003, 766, 1054, 803, 1091, 747, 1035, 697, 985, 658, 946, 627, 915, 605, 893)(595, 883, 610, 898, 635, 923, 667, 955, 710, 998, 760, 1048, 809, 1097, 753, 1041, 702, 990, 751, 1039, 795, 1083, 748, 1036, 797, 1085, 745, 1033, 799, 1087, 827, 1115, 858, 1146, 840, 1128, 782, 1070, 731, 1019, 682, 970, 648, 936, 631, 919, 608, 896)(598, 886, 613, 901, 639, 927, 624, 912, 655, 943, 692, 980, 743, 1031, 796, 1084, 849, 1137, 817, 1105, 843, 1131, 784, 1072, 841, 1129, 787, 1075, 839, 1127, 790, 1078, 741, 1029, 792, 1080, 830, 1118, 773, 1061, 723, 1011, 676, 964, 643, 931, 615, 903)(601, 889, 620, 908, 651, 939, 685, 973, 736, 1024, 786, 1074, 836, 1124, 779, 1067, 728, 1016, 777, 1065, 822, 1110, 774, 1062, 824, 1112, 771, 1059, 826, 1114, 800, 1088, 851, 1139, 813, 1101, 756, 1044, 705, 993, 664, 952, 632, 920, 647, 935, 618, 906)(606, 894, 626, 914, 650, 938, 621, 909, 652, 940, 687, 975, 737, 1025, 788, 1076, 834, 1122, 778, 1066, 727, 1015, 680, 968, 725, 1013, 709, 997, 722, 1010, 712, 1000, 671, 959, 714, 1002, 765, 1053, 804, 1092, 749, 1037, 698, 986, 660, 948, 628, 916)(611, 899, 636, 924, 669, 957, 711, 999, 762, 1050, 807, 1095, 752, 1040, 701, 989, 662, 950, 699, 987, 735, 1023, 696, 984, 738, 1026, 689, 977, 740, 1028, 791, 1079, 831, 1119, 775, 1063, 724, 1012, 678, 966, 644, 932, 616, 904, 642, 930, 634, 922)(629, 917, 659, 947, 691, 979, 656, 944, 693, 981, 720, 1008, 770, 1058, 825, 1113, 857, 1145, 842, 1130, 783, 1071, 733, 1021, 706, 994, 665, 953, 704, 992, 668, 956, 637, 925, 670, 958, 713, 1001, 763, 1051, 806, 1094, 750, 1038, 700, 988, 661, 949)(645, 933, 677, 965, 717, 1005, 674, 962, 719, 1007, 694, 982, 744, 1032, 798, 1086, 850, 1138, 815, 1103, 757, 1045, 707, 995, 732, 1020, 683, 971, 730, 1018, 686, 974, 653, 941, 688, 976, 739, 1027, 789, 1077, 833, 1121, 776, 1064, 726, 1014, 679, 967)
	L = (1, 578)(2, 577)(3, 583)(4, 585)(5, 587)(6, 589)(7, 579)(8, 592)(9, 580)(10, 595)(11, 581)(12, 598)(13, 582)(14, 601)(15, 603)(16, 584)(17, 606)(18, 608)(19, 586)(20, 611)(21, 613)(22, 588)(23, 616)(24, 618)(25, 590)(26, 621)(27, 591)(28, 624)(29, 626)(30, 593)(31, 629)(32, 594)(33, 632)(34, 634)(35, 596)(36, 637)(37, 597)(38, 640)(39, 642)(40, 599)(41, 645)(42, 600)(43, 648)(44, 650)(45, 602)(46, 653)(47, 639)(48, 604)(49, 656)(50, 605)(51, 651)(52, 659)(53, 607)(54, 662)(55, 647)(56, 609)(57, 665)(58, 610)(59, 643)(60, 668)(61, 612)(62, 671)(63, 623)(64, 614)(65, 674)(66, 615)(67, 635)(68, 677)(69, 617)(70, 680)(71, 631)(72, 619)(73, 683)(74, 620)(75, 627)(76, 686)(77, 622)(78, 689)(79, 691)(80, 625)(81, 694)(82, 696)(83, 628)(84, 692)(85, 699)(86, 630)(87, 702)(88, 704)(89, 633)(90, 707)(91, 709)(92, 636)(93, 705)(94, 712)(95, 638)(96, 715)(97, 717)(98, 641)(99, 720)(100, 722)(101, 644)(102, 718)(103, 725)(104, 646)(105, 728)(106, 730)(107, 649)(108, 733)(109, 735)(110, 652)(111, 731)(112, 738)(113, 654)(114, 741)(115, 655)(116, 660)(117, 719)(118, 657)(119, 745)(120, 658)(121, 739)(122, 748)(123, 661)(124, 736)(125, 751)(126, 663)(127, 754)(128, 664)(129, 669)(130, 732)(131, 666)(132, 758)(133, 667)(134, 726)(135, 761)(136, 670)(137, 723)(138, 764)(139, 672)(140, 767)(141, 673)(142, 678)(143, 693)(144, 675)(145, 771)(146, 676)(147, 713)(148, 774)(149, 679)(150, 710)(151, 777)(152, 681)(153, 780)(154, 682)(155, 687)(156, 706)(157, 684)(158, 784)(159, 685)(160, 700)(161, 787)(162, 688)(163, 697)(164, 790)(165, 690)(166, 793)(167, 795)(168, 797)(169, 695)(170, 800)(171, 802)(172, 698)(173, 798)(174, 805)(175, 701)(176, 796)(177, 808)(178, 703)(179, 781)(180, 812)(181, 814)(182, 708)(183, 817)(184, 818)(185, 711)(186, 815)(187, 819)(188, 714)(189, 813)(190, 820)(191, 716)(192, 794)(193, 822)(194, 824)(195, 721)(196, 827)(197, 829)(198, 724)(199, 825)(200, 832)(201, 727)(202, 823)(203, 835)(204, 729)(205, 755)(206, 839)(207, 841)(208, 734)(209, 844)(210, 845)(211, 737)(212, 842)(213, 846)(214, 740)(215, 840)(216, 847)(217, 742)(218, 768)(219, 743)(220, 752)(221, 744)(222, 749)(223, 826)(224, 746)(225, 848)(226, 747)(227, 830)(228, 852)(229, 750)(230, 833)(231, 853)(232, 753)(233, 836)(234, 838)(235, 837)(236, 756)(237, 765)(238, 757)(239, 762)(240, 843)(241, 759)(242, 760)(243, 763)(244, 766)(245, 828)(246, 769)(247, 778)(248, 770)(249, 775)(250, 799)(251, 772)(252, 821)(253, 773)(254, 803)(255, 859)(256, 776)(257, 806)(258, 860)(259, 779)(260, 809)(261, 811)(262, 810)(263, 782)(264, 791)(265, 783)(266, 788)(267, 816)(268, 785)(269, 786)(270, 789)(271, 792)(272, 801)(273, 861)(274, 863)(275, 862)(276, 804)(277, 807)(278, 856)(279, 858)(280, 854)(281, 864)(282, 855)(283, 831)(284, 834)(285, 849)(286, 851)(287, 850)(288, 857)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	local type(s) :: { ( 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2395
Graph:: bipartite
	v = 156 e = 576 f = 384
	degree seq :: [ 4^144, 48^12 ]

E19.2395 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = C3 x (((C4 x C4) : C3) : C2) (small group id <288, 397>)
Aut   = $<576, 5053>$ (small group id <576, 5053>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3^2 * Y1^-1, (Y3^2 * Y1^-1)^3, Y3^-6 * Y1^-1 * Y3^7 * Y1^-1 * Y3^-3, (Y3 * Y2^-1)^24 ]
Map:: polytopal
	R = (1, 289, 2, 290, 4, 292)(3, 291, 8, 296, 10, 298)(5, 293, 12, 300, 6, 294)(7, 295, 15, 303, 11, 299)(9, 297, 18, 306, 20, 308)(13, 301, 25, 313, 23, 311)(14, 302, 24, 312, 28, 316)(16, 304, 31, 319, 29, 317)(17, 305, 33, 321, 21, 309)(19, 307, 36, 324, 38, 326)(22, 310, 30, 318, 42, 330)(26, 314, 47, 335, 45, 333)(27, 315, 49, 337, 51, 339)(32, 320, 56, 344, 55, 343)(34, 322, 59, 347, 58, 346)(35, 323, 53, 341, 39, 327)(37, 325, 63, 351, 65, 353)(40, 328, 52, 340, 44, 332)(41, 329, 68, 356, 70, 358)(43, 331, 46, 334, 54, 342)(48, 336, 76, 364, 74, 362)(50, 338, 79, 367, 81, 369)(57, 345, 87, 375, 85, 373)(60, 348, 91, 379, 90, 378)(61, 349, 93, 381, 82, 370)(62, 350, 89, 377, 66, 354)(64, 352, 97, 385, 99, 387)(67, 355, 72, 360, 102, 390)(69, 357, 104, 392, 106, 394)(71, 359, 83, 371, 108, 396)(73, 361, 75, 363, 78, 366)(77, 365, 114, 402, 112, 400)(80, 368, 118, 406, 120, 408)(84, 372, 86, 374, 103, 391)(88, 376, 128, 416, 126, 414)(92, 380, 134, 422, 132, 420)(94, 382, 125, 413, 127, 415)(95, 383, 137, 425, 130, 418)(96, 384, 122, 410, 100, 388)(98, 386, 141, 429, 143, 431)(101, 389, 121, 409, 117, 405)(105, 393, 148, 436, 150, 438)(107, 395, 151, 439, 147, 435)(109, 397, 131, 419, 133, 421)(110, 398, 116, 404, 155, 443)(111, 399, 113, 401, 123, 411)(115, 403, 160, 448, 158, 446)(119, 407, 165, 453, 167, 455)(124, 412, 146, 434, 172, 460)(129, 417, 177, 465, 175, 463)(135, 423, 184, 472, 182, 470)(136, 424, 186, 474, 173, 461)(138, 426, 181, 469, 183, 471)(139, 427, 189, 477, 169, 457)(140, 428, 179, 467, 144, 432)(142, 430, 193, 481, 195, 483)(145, 433, 163, 451, 198, 486)(149, 437, 202, 490, 204, 492)(152, 440, 200, 488, 207, 495)(153, 441, 208, 496, 180, 468)(154, 442, 168, 456, 164, 452)(156, 444, 170, 458, 212, 500)(157, 445, 159, 447, 162, 450)(161, 449, 217, 505, 215, 503)(166, 454, 223, 511, 225, 513)(171, 459, 205, 493, 201, 489)(174, 462, 176, 464, 199, 487)(178, 466, 235, 523, 233, 521)(185, 473, 243, 531, 241, 529)(187, 475, 232, 520, 234, 522)(188, 476, 247, 535, 239, 527)(190, 478, 230, 518, 245, 533)(191, 479, 250, 538, 237, 525)(192, 480, 227, 515, 196, 484)(194, 482, 224, 512, 255, 543)(197, 485, 226, 514, 222, 510)(203, 491, 263, 551, 254, 542)(206, 494, 264, 552, 262, 550)(209, 497, 240, 528, 242, 530)(210, 498, 221, 509, 267, 555)(211, 499, 265, 553, 260, 548)(213, 501, 219, 507, 268, 556)(214, 502, 216, 504, 228, 516)(218, 506, 236, 524, 244, 532)(220, 508, 238, 526, 258, 546)(229, 517, 261, 549, 277, 565)(231, 519, 259, 547, 278, 566)(246, 534, 269, 557, 270, 558)(248, 536, 276, 564, 284, 572)(249, 537, 286, 574, 272, 560)(251, 539, 282, 570, 285, 573)(252, 540, 275, 563, 274, 562)(253, 541, 280, 568, 256, 544)(257, 545, 273, 561, 287, 575)(266, 554, 279, 567, 283, 571)(271, 559, 288, 576, 281, 569)(577, 865)(578, 866)(579, 867)(580, 868)(581, 869)(582, 870)(583, 871)(584, 872)(585, 873)(586, 874)(587, 875)(588, 876)(589, 877)(590, 878)(591, 879)(592, 880)(593, 881)(594, 882)(595, 883)(596, 884)(597, 885)(598, 886)(599, 887)(600, 888)(601, 889)(602, 890)(603, 891)(604, 892)(605, 893)(606, 894)(607, 895)(608, 896)(609, 897)(610, 898)(611, 899)(612, 900)(613, 901)(614, 902)(615, 903)(616, 904)(617, 905)(618, 906)(619, 907)(620, 908)(621, 909)(622, 910)(623, 911)(624, 912)(625, 913)(626, 914)(627, 915)(628, 916)(629, 917)(630, 918)(631, 919)(632, 920)(633, 921)(634, 922)(635, 923)(636, 924)(637, 925)(638, 926)(639, 927)(640, 928)(641, 929)(642, 930)(643, 931)(644, 932)(645, 933)(646, 934)(647, 935)(648, 936)(649, 937)(650, 938)(651, 939)(652, 940)(653, 941)(654, 942)(655, 943)(656, 944)(657, 945)(658, 946)(659, 947)(660, 948)(661, 949)(662, 950)(663, 951)(664, 952)(665, 953)(666, 954)(667, 955)(668, 956)(669, 957)(670, 958)(671, 959)(672, 960)(673, 961)(674, 962)(675, 963)(676, 964)(677, 965)(678, 966)(679, 967)(680, 968)(681, 969)(682, 970)(683, 971)(684, 972)(685, 973)(686, 974)(687, 975)(688, 976)(689, 977)(690, 978)(691, 979)(692, 980)(693, 981)(694, 982)(695, 983)(696, 984)(697, 985)(698, 986)(699, 987)(700, 988)(701, 989)(702, 990)(703, 991)(704, 992)(705, 993)(706, 994)(707, 995)(708, 996)(709, 997)(710, 998)(711, 999)(712, 1000)(713, 1001)(714, 1002)(715, 1003)(716, 1004)(717, 1005)(718, 1006)(719, 1007)(720, 1008)(721, 1009)(722, 1010)(723, 1011)(724, 1012)(725, 1013)(726, 1014)(727, 1015)(728, 1016)(729, 1017)(730, 1018)(731, 1019)(732, 1020)(733, 1021)(734, 1022)(735, 1023)(736, 1024)(737, 1025)(738, 1026)(739, 1027)(740, 1028)(741, 1029)(742, 1030)(743, 1031)(744, 1032)(745, 1033)(746, 1034)(747, 1035)(748, 1036)(749, 1037)(750, 1038)(751, 1039)(752, 1040)(753, 1041)(754, 1042)(755, 1043)(756, 1044)(757, 1045)(758, 1046)(759, 1047)(760, 1048)(761, 1049)(762, 1050)(763, 1051)(764, 1052)(765, 1053)(766, 1054)(767, 1055)(768, 1056)(769, 1057)(770, 1058)(771, 1059)(772, 1060)(773, 1061)(774, 1062)(775, 1063)(776, 1064)(777, 1065)(778, 1066)(779, 1067)(780, 1068)(781, 1069)(782, 1070)(783, 1071)(784, 1072)(785, 1073)(786, 1074)(787, 1075)(788, 1076)(789, 1077)(790, 1078)(791, 1079)(792, 1080)(793, 1081)(794, 1082)(795, 1083)(796, 1084)(797, 1085)(798, 1086)(799, 1087)(800, 1088)(801, 1089)(802, 1090)(803, 1091)(804, 1092)(805, 1093)(806, 1094)(807, 1095)(808, 1096)(809, 1097)(810, 1098)(811, 1099)(812, 1100)(813, 1101)(814, 1102)(815, 1103)(816, 1104)(817, 1105)(818, 1106)(819, 1107)(820, 1108)(821, 1109)(822, 1110)(823, 1111)(824, 1112)(825, 1113)(826, 1114)(827, 1115)(828, 1116)(829, 1117)(830, 1118)(831, 1119)(832, 1120)(833, 1121)(834, 1122)(835, 1123)(836, 1124)(837, 1125)(838, 1126)(839, 1127)(840, 1128)(841, 1129)(842, 1130)(843, 1131)(844, 1132)(845, 1133)(846, 1134)(847, 1135)(848, 1136)(849, 1137)(850, 1138)(851, 1139)(852, 1140)(853, 1141)(854, 1142)(855, 1143)(856, 1144)(857, 1145)(858, 1146)(859, 1147)(860, 1148)(861, 1149)(862, 1150)(863, 1151)(864, 1152)
	L = (1, 579)(2, 582)(3, 585)(4, 587)(5, 577)(6, 590)(7, 578)(8, 580)(9, 595)(10, 597)(11, 598)(12, 599)(13, 581)(14, 603)(15, 605)(16, 583)(17, 584)(18, 586)(19, 613)(20, 615)(21, 616)(22, 617)(23, 619)(24, 588)(25, 621)(26, 589)(27, 626)(28, 628)(29, 629)(30, 591)(31, 631)(32, 592)(33, 634)(34, 593)(35, 594)(36, 596)(37, 640)(38, 642)(39, 607)(40, 643)(41, 645)(42, 622)(43, 647)(44, 600)(45, 649)(46, 601)(47, 650)(48, 602)(49, 604)(50, 656)(51, 651)(52, 609)(53, 658)(54, 606)(55, 660)(56, 661)(57, 608)(58, 665)(59, 666)(60, 610)(61, 611)(62, 612)(63, 614)(64, 674)(65, 676)(66, 635)(67, 677)(68, 618)(69, 681)(70, 662)(71, 683)(72, 620)(73, 686)(74, 687)(75, 623)(76, 688)(77, 624)(78, 625)(79, 627)(80, 695)(81, 697)(82, 698)(83, 630)(84, 700)(85, 701)(86, 632)(87, 702)(88, 633)(89, 706)(90, 707)(91, 708)(92, 636)(93, 703)(94, 637)(95, 638)(96, 639)(97, 641)(98, 718)(99, 720)(100, 669)(101, 721)(102, 709)(103, 644)(104, 646)(105, 725)(106, 727)(107, 728)(108, 689)(109, 648)(110, 730)(111, 732)(112, 733)(113, 652)(114, 734)(115, 653)(116, 654)(117, 655)(118, 657)(119, 742)(120, 744)(121, 678)(122, 745)(123, 659)(124, 747)(125, 749)(126, 750)(127, 663)(128, 751)(129, 664)(130, 755)(131, 756)(132, 757)(133, 667)(134, 758)(135, 668)(136, 670)(137, 759)(138, 671)(139, 672)(140, 673)(141, 675)(142, 770)(143, 772)(144, 713)(145, 773)(146, 679)(147, 680)(148, 682)(149, 779)(150, 781)(151, 684)(152, 782)(153, 685)(154, 786)(155, 735)(156, 787)(157, 789)(158, 790)(159, 690)(160, 791)(161, 691)(162, 692)(163, 693)(164, 694)(165, 696)(166, 800)(167, 802)(168, 731)(169, 803)(170, 699)(171, 805)(172, 752)(173, 806)(174, 807)(175, 808)(176, 704)(177, 809)(178, 705)(179, 813)(180, 814)(181, 815)(182, 816)(183, 710)(184, 817)(185, 711)(186, 810)(187, 712)(188, 714)(189, 821)(190, 715)(191, 716)(192, 717)(193, 719)(194, 830)(195, 832)(196, 765)(197, 833)(198, 834)(199, 722)(200, 723)(201, 724)(202, 726)(203, 831)(204, 840)(205, 748)(206, 829)(207, 841)(208, 818)(209, 729)(210, 828)(211, 827)(212, 792)(213, 825)(214, 824)(215, 822)(216, 736)(217, 820)(218, 737)(219, 738)(220, 739)(221, 740)(222, 741)(223, 743)(224, 771)(225, 851)(226, 774)(227, 850)(228, 746)(229, 849)(230, 848)(231, 847)(232, 846)(233, 842)(234, 753)(235, 794)(236, 754)(237, 856)(238, 857)(239, 858)(240, 859)(241, 852)(242, 760)(243, 812)(244, 761)(245, 762)(246, 763)(247, 860)(248, 764)(249, 766)(250, 861)(251, 767)(252, 768)(253, 769)(254, 863)(255, 801)(256, 826)(257, 839)(258, 784)(259, 775)(260, 776)(261, 777)(262, 778)(263, 780)(264, 783)(265, 788)(266, 785)(267, 862)(268, 845)(269, 793)(270, 795)(271, 796)(272, 797)(273, 798)(274, 799)(275, 843)(276, 804)(277, 864)(278, 855)(279, 811)(280, 838)(281, 837)(282, 836)(283, 835)(284, 819)(285, 823)(286, 844)(287, 853)(288, 854)(289, 865)(290, 866)(291, 867)(292, 868)(293, 869)(294, 870)(295, 871)(296, 872)(297, 873)(298, 874)(299, 875)(300, 876)(301, 877)(302, 878)(303, 879)(304, 880)(305, 881)(306, 882)(307, 883)(308, 884)(309, 885)(310, 886)(311, 887)(312, 888)(313, 889)(314, 890)(315, 891)(316, 892)(317, 893)(318, 894)(319, 895)(320, 896)(321, 897)(322, 898)(323, 899)(324, 900)(325, 901)(326, 902)(327, 903)(328, 904)(329, 905)(330, 906)(331, 907)(332, 908)(333, 909)(334, 910)(335, 911)(336, 912)(337, 913)(338, 914)(339, 915)(340, 916)(341, 917)(342, 918)(343, 919)(344, 920)(345, 921)(346, 922)(347, 923)(348, 924)(349, 925)(350, 926)(351, 927)(352, 928)(353, 929)(354, 930)(355, 931)(356, 932)(357, 933)(358, 934)(359, 935)(360, 936)(361, 937)(362, 938)(363, 939)(364, 940)(365, 941)(366, 942)(367, 943)(368, 944)(369, 945)(370, 946)(371, 947)(372, 948)(373, 949)(374, 950)(375, 951)(376, 952)(377, 953)(378, 954)(379, 955)(380, 956)(381, 957)(382, 958)(383, 959)(384, 960)(385, 961)(386, 962)(387, 963)(388, 964)(389, 965)(390, 966)(391, 967)(392, 968)(393, 969)(394, 970)(395, 971)(396, 972)(397, 973)(398, 974)(399, 975)(400, 976)(401, 977)(402, 978)(403, 979)(404, 980)(405, 981)(406, 982)(407, 983)(408, 984)(409, 985)(410, 986)(411, 987)(412, 988)(413, 989)(414, 990)(415, 991)(416, 992)(417, 993)(418, 994)(419, 995)(420, 996)(421, 997)(422, 998)(423, 999)(424, 1000)(425, 1001)(426, 1002)(427, 1003)(428, 1004)(429, 1005)(430, 1006)(431, 1007)(432, 1008)(433, 1009)(434, 1010)(435, 1011)(436, 1012)(437, 1013)(438, 1014)(439, 1015)(440, 1016)(441, 1017)(442, 1018)(443, 1019)(444, 1020)(445, 1021)(446, 1022)(447, 1023)(448, 1024)(449, 1025)(450, 1026)(451, 1027)(452, 1028)(453, 1029)(454, 1030)(455, 1031)(456, 1032)(457, 1033)(458, 1034)(459, 1035)(460, 1036)(461, 1037)(462, 1038)(463, 1039)(464, 1040)(465, 1041)(466, 1042)(467, 1043)(468, 1044)(469, 1045)(470, 1046)(471, 1047)(472, 1048)(473, 1049)(474, 1050)(475, 1051)(476, 1052)(477, 1053)(478, 1054)(479, 1055)(480, 1056)(481, 1057)(482, 1058)(483, 1059)(484, 1060)(485, 1061)(486, 1062)(487, 1063)(488, 1064)(489, 1065)(490, 1066)(491, 1067)(492, 1068)(493, 1069)(494, 1070)(495, 1071)(496, 1072)(497, 1073)(498, 1074)(499, 1075)(500, 1076)(501, 1077)(502, 1078)(503, 1079)(504, 1080)(505, 1081)(506, 1082)(507, 1083)(508, 1084)(509, 1085)(510, 1086)(511, 1087)(512, 1088)(513, 1089)(514, 1090)(515, 1091)(516, 1092)(517, 1093)(518, 1094)(519, 1095)(520, 1096)(521, 1097)(522, 1098)(523, 1099)(524, 1100)(525, 1101)(526, 1102)(527, 1103)(528, 1104)(529, 1105)(530, 1106)(531, 1107)(532, 1108)(533, 1109)(534, 1110)(535, 1111)(536, 1112)(537, 1113)(538, 1114)(539, 1115)(540, 1116)(541, 1117)(542, 1118)(543, 1119)(544, 1120)(545, 1121)(546, 1122)(547, 1123)(548, 1124)(549, 1125)(550, 1126)(551, 1127)(552, 1128)(553, 1129)(554, 1130)(555, 1131)(556, 1132)(557, 1133)(558, 1134)(559, 1135)(560, 1136)(561, 1137)(562, 1138)(563, 1139)(564, 1140)(565, 1141)(566, 1142)(567, 1143)(568, 1144)(569, 1145)(570, 1146)(571, 1147)(572, 1148)(573, 1149)(574, 1150)(575, 1151)(576, 1152)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E19.2394
Graph:: simple bipartite
	v = 384 e = 576 f = 156
	degree seq :: [ 2^288, 6^96 ]

E19.2396 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 7})
Quotient :: regular
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^7, (T1 * T2)^4, (T1^-1 * T2 * T1^3 * T2 * T1^-1)^2, (T1^-1 * T2 * T1^2 * T2 * T1^-2)^2, (T1 * T2 * T1^-2 * T2)^3, (T1^2 * T2 * T1^-1 * T2)^3, T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-1, (T2 * T1 * T2 * T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 22, 10, 4)(3, 7, 15, 30, 36, 18, 8)(6, 13, 26, 49, 54, 29, 14)(9, 19, 37, 66, 71, 39, 20)(12, 24, 45, 81, 86, 48, 25)(16, 32, 58, 103, 107, 60, 33)(17, 34, 61, 108, 91, 51, 27)(21, 40, 72, 126, 131, 74, 41)(23, 43, 77, 135, 140, 80, 44)(28, 52, 92, 159, 145, 83, 46)(31, 56, 99, 171, 139, 102, 57)(35, 63, 112, 190, 195, 114, 64)(38, 68, 120, 203, 207, 122, 69)(42, 75, 132, 220, 223, 134, 76)(47, 84, 146, 238, 227, 137, 78)(50, 88, 153, 246, 222, 156, 89)(53, 94, 163, 127, 213, 165, 95)(55, 97, 168, 265, 242, 150, 98)(59, 105, 179, 277, 271, 173, 100)(62, 110, 187, 226, 287, 189, 111)(65, 115, 196, 291, 293, 198, 116)(67, 118, 200, 149, 85, 148, 119)(70, 123, 208, 136, 225, 210, 124)(73, 128, 214, 304, 306, 216, 129)(79, 138, 228, 313, 309, 221, 133)(82, 142, 233, 218, 130, 217, 143)(87, 151, 243, 321, 315, 230, 152)(90, 157, 251, 266, 204, 248, 154)(93, 161, 257, 308, 327, 259, 162)(96, 166, 117, 199, 294, 264, 167)(101, 174, 164, 261, 312, 267, 169)(104, 177, 234, 144, 236, 276, 178)(106, 181, 280, 191, 288, 281, 182)(109, 185, 235, 274, 175, 273, 186)(113, 192, 237, 317, 295, 202, 193)(121, 205, 296, 314, 229, 269, 201)(125, 211, 301, 331, 318, 252, 212)(141, 231, 188, 285, 332, 310, 232)(147, 239, 303, 215, 305, 319, 240)(155, 249, 241, 320, 275, 176, 244)(158, 253, 325, 260, 300, 209, 254)(160, 256, 299, 323, 250, 297, 206)(170, 268, 302, 263, 245, 292, 197)(172, 247, 316, 290, 194, 262, 270)(180, 279, 219, 307, 224, 311, 258)(183, 282, 184, 284, 255, 298, 283)(272, 328, 334, 289, 322, 336, 329)(278, 326, 324, 335, 330, 333, 286)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 23)(13, 27)(14, 28)(15, 31)(18, 35)(19, 38)(20, 32)(22, 42)(24, 46)(25, 47)(26, 50)(29, 53)(30, 55)(33, 59)(34, 62)(36, 65)(37, 67)(39, 70)(40, 73)(41, 68)(43, 78)(44, 79)(45, 82)(48, 85)(49, 87)(51, 90)(52, 93)(54, 96)(56, 100)(57, 101)(58, 104)(60, 106)(61, 109)(63, 113)(64, 110)(66, 117)(69, 121)(71, 125)(72, 127)(74, 130)(75, 133)(76, 128)(77, 136)(80, 139)(81, 141)(83, 144)(84, 147)(86, 150)(88, 154)(89, 155)(91, 158)(92, 160)(94, 164)(95, 161)(97, 169)(98, 170)(99, 172)(102, 175)(103, 176)(105, 180)(107, 183)(108, 184)(111, 188)(112, 191)(114, 194)(115, 197)(116, 192)(118, 201)(119, 202)(120, 204)(122, 206)(123, 209)(124, 177)(126, 196)(129, 215)(131, 219)(132, 190)(134, 222)(135, 224)(137, 226)(138, 229)(140, 230)(142, 234)(143, 235)(145, 237)(146, 181)(148, 241)(149, 239)(151, 244)(152, 245)(153, 247)(156, 250)(157, 252)(159, 255)(162, 258)(163, 260)(165, 262)(166, 263)(167, 261)(168, 266)(171, 269)(173, 246)(174, 272)(178, 243)(179, 278)(182, 279)(185, 231)(186, 216)(187, 225)(189, 286)(193, 289)(195, 257)(198, 236)(199, 295)(200, 270)(203, 267)(205, 285)(207, 298)(208, 299)(210, 290)(211, 302)(212, 254)(213, 303)(214, 271)(217, 281)(218, 248)(220, 301)(221, 308)(223, 310)(227, 312)(228, 253)(232, 268)(233, 316)(238, 283)(240, 318)(242, 320)(249, 322)(251, 324)(256, 311)(259, 326)(264, 287)(265, 327)(273, 315)(274, 328)(275, 309)(276, 330)(277, 294)(280, 331)(282, 313)(284, 306)(288, 334)(291, 325)(292, 307)(293, 314)(296, 333)(297, 332)(300, 329)(304, 317)(305, 321)(319, 335)(323, 336)
	local type(s) :: { ( 4^7 ) }
Outer automorphisms :: reflexible
Dual of E19.2397
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 48 e = 168 f = 84
	degree seq :: [ 7^48 ]

E19.2397 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 7})
Quotient :: regular
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^7, T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1, (T1 * T2 * T1^-1 * T2)^4, (T2 * T1 * T2 * T1 * T2 * T1^-1)^3, T1^2 * T2 * T1^-2 * T2 * T1 * T2 * T1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1 * T2 * T1 * T2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 114, 70)(43, 71, 117, 72)(45, 74, 122, 75)(46, 76, 125, 77)(47, 78, 127, 79)(52, 86, 139, 87)(60, 98, 159, 99)(61, 100, 161, 101)(63, 103, 166, 104)(64, 105, 169, 106)(66, 108, 142, 109)(67, 110, 147, 111)(68, 112, 140, 113)(73, 120, 141, 121)(81, 131, 196, 132)(82, 133, 198, 134)(84, 136, 200, 137)(85, 138, 179, 115)(89, 143, 205, 144)(90, 145, 207, 146)(92, 148, 210, 149)(93, 150, 213, 151)(95, 153, 130, 154)(96, 155, 135, 156)(97, 157, 128, 158)(102, 164, 129, 165)(107, 152, 204, 171)(116, 180, 252, 181)(118, 183, 233, 168)(119, 184, 257, 185)(123, 189, 258, 190)(124, 191, 260, 192)(126, 194, 261, 195)(160, 222, 301, 223)(162, 225, 283, 212)(163, 226, 305, 227)(167, 231, 306, 232)(170, 235, 307, 236)(172, 237, 284, 238)(173, 239, 280, 240)(174, 241, 276, 242)(175, 243, 273, 244)(176, 245, 188, 246)(177, 247, 193, 248)(178, 249, 186, 250)(182, 254, 187, 255)(197, 263, 310, 265)(199, 256, 316, 267)(201, 269, 320, 270)(202, 208, 277, 259)(203, 271, 315, 272)(206, 274, 321, 275)(209, 278, 323, 279)(211, 281, 324, 282)(214, 285, 325, 286)(215, 287, 251, 288)(216, 289, 268, 290)(217, 291, 266, 292)(218, 293, 264, 294)(219, 295, 230, 296)(220, 297, 234, 298)(221, 299, 228, 300)(224, 303, 229, 304)(253, 314, 322, 302)(262, 319, 326, 308)(309, 330, 336, 331)(311, 333, 335, 327)(312, 328, 318, 334)(313, 332, 317, 329)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 81)(49, 82)(50, 84)(51, 85)(53, 89)(54, 90)(55, 92)(56, 93)(57, 95)(58, 96)(59, 97)(62, 102)(65, 107)(69, 115)(70, 116)(71, 118)(72, 119)(74, 123)(75, 124)(76, 126)(77, 98)(78, 128)(79, 129)(80, 130)(83, 135)(86, 140)(87, 141)(88, 142)(91, 147)(94, 152)(99, 160)(100, 162)(101, 163)(103, 167)(104, 168)(105, 170)(106, 143)(108, 172)(109, 173)(110, 174)(111, 175)(112, 176)(113, 177)(114, 178)(117, 182)(120, 186)(121, 187)(122, 188)(125, 193)(127, 171)(131, 151)(132, 197)(133, 191)(134, 199)(136, 201)(137, 202)(138, 203)(139, 204)(144, 206)(145, 208)(146, 209)(148, 211)(149, 212)(150, 214)(153, 215)(154, 216)(155, 217)(156, 218)(157, 219)(158, 220)(159, 221)(161, 224)(164, 228)(165, 229)(166, 230)(169, 234)(179, 251)(180, 236)(181, 253)(183, 256)(184, 225)(185, 237)(189, 244)(190, 259)(192, 232)(194, 262)(195, 263)(196, 264)(198, 266)(200, 268)(205, 273)(207, 276)(210, 280)(213, 284)(222, 286)(223, 302)(226, 277)(227, 287)(231, 294)(233, 282)(235, 308)(238, 309)(239, 310)(240, 291)(241, 296)(242, 307)(243, 311)(245, 301)(246, 304)(247, 279)(248, 312)(249, 281)(250, 313)(252, 289)(254, 315)(255, 290)(257, 317)(258, 318)(260, 278)(261, 303)(265, 314)(267, 297)(269, 299)(270, 283)(271, 319)(272, 274)(275, 322)(285, 326)(288, 327)(292, 325)(293, 328)(295, 321)(298, 329)(300, 330)(305, 331)(306, 332)(316, 334)(320, 333)(323, 335)(324, 336)
	local type(s) :: { ( 7^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2396
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 84 e = 168 f = 48
	degree seq :: [ 4^84 ]

E19.2398 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 7})
Quotient :: edge
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T1 * T2)^7, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^4, (T2 * T1 * T2^-1 * T1 * T2^-1 * T1)^3, T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 71, 43)(28, 47, 79, 48)(30, 50, 84, 51)(31, 52, 87, 53)(33, 55, 92, 56)(36, 60, 100, 61)(38, 63, 105, 64)(41, 68, 112, 69)(44, 73, 120, 74)(46, 76, 125, 77)(49, 81, 133, 82)(54, 89, 144, 90)(57, 94, 152, 95)(59, 97, 157, 98)(62, 102, 165, 103)(65, 106, 170, 107)(67, 109, 175, 110)(70, 114, 182, 115)(72, 117, 186, 118)(75, 122, 191, 123)(78, 127, 196, 128)(80, 130, 198, 131)(83, 135, 201, 136)(85, 138, 139, 86)(88, 141, 208, 142)(91, 146, 215, 147)(93, 149, 219, 150)(96, 154, 224, 155)(99, 159, 229, 160)(101, 162, 231, 163)(104, 167, 234, 168)(108, 172, 132, 173)(111, 177, 129, 178)(113, 179, 137, 180)(116, 183, 134, 184)(119, 187, 255, 188)(121, 189, 258, 190)(124, 192, 261, 193)(126, 194, 263, 195)(140, 205, 164, 206)(143, 210, 161, 211)(145, 212, 169, 213)(148, 216, 166, 217)(151, 220, 291, 221)(153, 222, 294, 223)(156, 225, 297, 226)(158, 227, 299, 228)(171, 237, 281, 238)(174, 218, 289, 241)(176, 243, 313, 244)(181, 249, 303, 232)(185, 253, 277, 207)(197, 235, 293, 265)(199, 214, 285, 267)(200, 268, 320, 269)(202, 257, 301, 230)(203, 271, 287, 272)(204, 273, 245, 274)(209, 279, 325, 280)(233, 304, 332, 305)(236, 307, 251, 308)(239, 310, 250, 296)(240, 311, 254, 312)(242, 306, 252, 282)(246, 278, 270, 288)(247, 295, 266, 314)(248, 315, 264, 316)(256, 317, 334, 318)(259, 302, 326, 283)(260, 275, 322, 286)(262, 319, 333, 309)(276, 323, 290, 324)(284, 327, 300, 328)(292, 329, 336, 330)(298, 331, 335, 321)(337, 338)(339, 343)(340, 345)(341, 346)(342, 348)(344, 351)(347, 356)(349, 359)(350, 361)(352, 364)(353, 366)(354, 367)(355, 369)(357, 372)(358, 374)(360, 377)(362, 380)(363, 382)(365, 385)(368, 390)(370, 393)(371, 395)(373, 398)(375, 401)(376, 403)(378, 406)(379, 408)(381, 411)(383, 414)(384, 416)(386, 419)(387, 421)(388, 422)(389, 424)(391, 427)(392, 429)(394, 432)(396, 435)(397, 437)(399, 440)(400, 442)(402, 444)(404, 447)(405, 449)(407, 452)(409, 455)(410, 457)(412, 460)(413, 462)(415, 465)(417, 468)(418, 470)(420, 473)(423, 476)(425, 479)(426, 481)(428, 484)(430, 487)(431, 489)(433, 492)(434, 494)(436, 497)(438, 500)(439, 502)(441, 505)(443, 507)(445, 510)(446, 512)(448, 490)(450, 517)(451, 483)(453, 521)(454, 523)(456, 488)(458, 480)(459, 501)(461, 493)(463, 531)(464, 533)(466, 498)(467, 535)(469, 491)(471, 536)(472, 538)(474, 539)(475, 540)(477, 543)(478, 545)(482, 550)(485, 554)(486, 556)(495, 564)(496, 566)(499, 568)(503, 569)(504, 571)(506, 572)(508, 575)(509, 576)(511, 578)(513, 581)(514, 582)(515, 583)(516, 584)(518, 586)(519, 587)(520, 588)(522, 590)(524, 592)(525, 593)(526, 595)(527, 560)(528, 596)(529, 577)(530, 598)(532, 600)(534, 602)(537, 606)(541, 611)(542, 612)(544, 614)(546, 617)(547, 618)(548, 619)(549, 620)(551, 622)(552, 623)(553, 624)(555, 626)(557, 628)(558, 629)(559, 631)(561, 632)(562, 613)(563, 634)(565, 636)(567, 638)(570, 642)(573, 645)(574, 616)(579, 637)(580, 610)(585, 652)(589, 641)(591, 635)(594, 633)(597, 630)(599, 627)(601, 615)(603, 647)(604, 643)(605, 625)(607, 640)(608, 653)(609, 657)(621, 664)(639, 659)(644, 665)(646, 670)(648, 660)(649, 666)(650, 669)(651, 663)(654, 661)(655, 668)(656, 667)(658, 672)(662, 671)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 14, 14 ), ( 14^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2402
Transitivity :: ET+
Graph:: simple bipartite
	v = 252 e = 336 f = 48
	degree seq :: [ 2^168, 4^84 ]

E19.2399 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 7})
Quotient :: edge
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T2)^2, T1^4, (F * T1)^2, T2^7, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1, T2^-1 * T1 * T2^-2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1, (T2 * T1^-1)^6, T1^-2 * T2^3 * T1^-2 * T2^2 * T1^-1 * T2^-2 * T1^-1 * T2^2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 24, 32, 14, 5)(2, 7, 17, 38, 44, 20, 8)(4, 12, 27, 57, 48, 22, 9)(6, 15, 33, 68, 74, 36, 16)(11, 26, 54, 106, 99, 50, 23)(13, 29, 60, 117, 123, 63, 30)(18, 40, 80, 153, 146, 76, 37)(19, 41, 82, 157, 163, 85, 42)(21, 45, 89, 170, 172, 92, 46)(25, 53, 103, 189, 186, 101, 51)(28, 59, 114, 200, 195, 110, 56)(31, 64, 124, 210, 215, 127, 65)(34, 70, 134, 224, 219, 130, 67)(35, 71, 136, 226, 228, 139, 72)(39, 79, 150, 185, 242, 148, 77)(43, 86, 164, 256, 260, 167, 87)(47, 93, 173, 267, 211, 175, 94)(49, 96, 177, 273, 275, 179, 97)(52, 102, 187, 283, 216, 128, 66)(55, 108, 138, 126, 213, 191, 105)(58, 113, 199, 293, 282, 197, 111)(61, 119, 206, 300, 297, 202, 116)(62, 120, 207, 188, 104, 135, 121)(69, 133, 223, 241, 312, 221, 131)(73, 140, 229, 318, 268, 231, 141)(75, 143, 233, 322, 324, 235, 144)(78, 149, 243, 278, 182, 168, 88)(81, 155, 91, 166, 258, 246, 152)(83, 159, 252, 331, 298, 249, 156)(84, 160, 253, 244, 151, 115, 161)(90, 162, 254, 332, 328, 262, 169)(95, 112, 198, 204, 299, 271, 176)(98, 180, 276, 203, 118, 205, 181)(100, 183, 279, 230, 319, 281, 184)(107, 129, 217, 307, 306, 286, 192)(109, 193, 287, 277, 329, 247, 154)(122, 208, 301, 284, 315, 225, 137)(125, 212, 304, 311, 220, 303, 209)(132, 222, 264, 325, 238, 232, 142)(145, 236, 274, 250, 158, 251, 237)(147, 239, 266, 174, 269, 327, 240)(165, 257, 333, 292, 196, 291, 255)(171, 265, 290, 194, 289, 296, 263)(178, 270, 302, 336, 294, 314, 272)(190, 261, 321, 234, 214, 305, 285)(201, 295, 308, 259, 334, 280, 245)(218, 309, 323, 316, 227, 317, 310)(248, 330, 288, 320, 335, 326, 313)(337, 338, 342, 340)(339, 345, 357, 347)(341, 349, 354, 343)(344, 355, 370, 351)(346, 359, 385, 361)(348, 352, 371, 364)(350, 367, 397, 365)(353, 373, 411, 375)(356, 379, 419, 377)(358, 383, 426, 381)(360, 387, 436, 388)(362, 382, 427, 391)(363, 392, 445, 394)(366, 398, 417, 376)(368, 402, 461, 400)(369, 403, 465, 405)(372, 409, 473, 407)(374, 413, 483, 414)(378, 420, 471, 406)(380, 424, 501, 422)(384, 431, 510, 429)(386, 434, 514, 432)(389, 433, 470, 440)(390, 441, 469, 443)(393, 447, 532, 448)(395, 408, 474, 451)(396, 452, 537, 454)(399, 458, 477, 456)(401, 462, 475, 455)(404, 467, 556, 468)(410, 478, 566, 476)(412, 481, 570, 479)(415, 480, 450, 487)(416, 488, 449, 490)(418, 492, 584, 494)(421, 498, 430, 496)(423, 502, 428, 495)(425, 505, 597, 507)(435, 518, 613, 516)(437, 521, 616, 519)(438, 520, 590, 499)(439, 524, 601, 526)(442, 528, 593, 504)(444, 491, 457, 497)(446, 530, 624, 529)(453, 539, 634, 540)(459, 534, 628, 544)(460, 545, 638, 547)(463, 550, 573, 549)(464, 536, 571, 548)(466, 554, 644, 553)(472, 561, 650, 563)(482, 574, 609, 572)(484, 577, 662, 575)(485, 576, 542, 564)(486, 580, 541, 581)(489, 583, 655, 568)(493, 586, 620, 523)(500, 591, 641, 551)(503, 595, 646, 594)(506, 599, 633, 600)(508, 558, 647, 588)(509, 602, 671, 604)(511, 606, 517, 589)(512, 560, 515, 605)(513, 608, 651, 610)(522, 618, 648, 578)(525, 621, 627, 533)(527, 587, 649, 559)(531, 552, 642, 625)(535, 582, 653, 630)(538, 632, 643, 631)(543, 567, 656, 626)(546, 603, 654, 592)(555, 607, 658, 645)(557, 629, 672, 639)(562, 652, 664, 579)(565, 615, 670, 596)(569, 657, 598, 659)(585, 612, 623, 666)(611, 661, 636, 663)(614, 668, 617, 665)(619, 637, 669, 622)(635, 667, 640, 660)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 4^4 ), ( 4^7 ) }
Outer automorphisms :: reflexible
Dual of E19.2403
Transitivity :: ET+
Graph:: simple bipartite
	v = 132 e = 336 f = 168
	degree seq :: [ 4^84, 7^48 ]

E19.2400 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 7})
Quotient :: edge
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^7, (T2 * T1^-1)^4, (T1^-1 * T2 * T1^3 * T2 * T1^-1)^2, (T1 * T2 * T1^-2 * T2)^3, (T1^2 * T2 * T1^-1 * T2)^3, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-2, T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-1, (T2 * T1 * T2 * T1^-1)^4 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 23)(13, 27)(14, 28)(15, 31)(18, 35)(19, 38)(20, 32)(22, 42)(24, 46)(25, 47)(26, 50)(29, 53)(30, 55)(33, 59)(34, 62)(36, 65)(37, 67)(39, 70)(40, 73)(41, 68)(43, 78)(44, 79)(45, 82)(48, 85)(49, 87)(51, 90)(52, 93)(54, 96)(56, 100)(57, 101)(58, 104)(60, 106)(61, 109)(63, 113)(64, 110)(66, 117)(69, 121)(71, 125)(72, 127)(74, 130)(75, 133)(76, 128)(77, 136)(80, 139)(81, 141)(83, 144)(84, 147)(86, 150)(88, 154)(89, 155)(91, 158)(92, 160)(94, 164)(95, 161)(97, 169)(98, 170)(99, 172)(102, 175)(103, 176)(105, 180)(107, 183)(108, 184)(111, 188)(112, 191)(114, 194)(115, 197)(116, 192)(118, 201)(119, 202)(120, 204)(122, 206)(123, 209)(124, 177)(126, 196)(129, 215)(131, 219)(132, 190)(134, 222)(135, 224)(137, 226)(138, 229)(140, 230)(142, 234)(143, 235)(145, 237)(146, 181)(148, 241)(149, 239)(151, 244)(152, 245)(153, 247)(156, 250)(157, 252)(159, 255)(162, 258)(163, 260)(165, 262)(166, 263)(167, 261)(168, 266)(171, 269)(173, 246)(174, 272)(178, 243)(179, 278)(182, 279)(185, 231)(186, 216)(187, 225)(189, 286)(193, 289)(195, 257)(198, 236)(199, 295)(200, 270)(203, 267)(205, 285)(207, 298)(208, 299)(210, 290)(211, 302)(212, 254)(213, 303)(214, 271)(217, 281)(218, 248)(220, 301)(221, 308)(223, 310)(227, 312)(228, 253)(232, 268)(233, 316)(238, 283)(240, 318)(242, 320)(249, 322)(251, 324)(256, 311)(259, 326)(264, 287)(265, 327)(273, 315)(274, 328)(275, 309)(276, 330)(277, 294)(280, 331)(282, 313)(284, 306)(288, 334)(291, 325)(292, 307)(293, 314)(296, 333)(297, 332)(300, 329)(304, 317)(305, 321)(319, 335)(323, 336)(337, 338, 341, 347, 358, 346, 340)(339, 343, 351, 366, 372, 354, 344)(342, 349, 362, 385, 390, 365, 350)(345, 355, 373, 402, 407, 375, 356)(348, 360, 381, 417, 422, 384, 361)(352, 368, 394, 439, 443, 396, 369)(353, 370, 397, 444, 427, 387, 363)(357, 376, 408, 462, 467, 410, 377)(359, 379, 413, 471, 476, 416, 380)(364, 388, 428, 495, 481, 419, 382)(367, 392, 435, 507, 475, 438, 393)(371, 399, 448, 526, 531, 450, 400)(374, 404, 456, 539, 543, 458, 405)(378, 411, 468, 556, 559, 470, 412)(383, 420, 482, 574, 563, 473, 414)(386, 424, 489, 582, 558, 492, 425)(389, 430, 499, 463, 549, 501, 431)(391, 433, 504, 601, 578, 486, 434)(395, 441, 515, 613, 607, 509, 436)(398, 446, 523, 562, 623, 525, 447)(401, 451, 532, 627, 629, 534, 452)(403, 454, 536, 485, 421, 484, 455)(406, 459, 544, 472, 561, 546, 460)(409, 464, 550, 640, 642, 552, 465)(415, 474, 564, 649, 645, 557, 469)(418, 478, 569, 554, 466, 553, 479)(423, 487, 579, 657, 651, 566, 488)(426, 493, 587, 602, 540, 584, 490)(429, 497, 593, 644, 663, 595, 498)(432, 502, 453, 535, 630, 600, 503)(437, 510, 500, 597, 648, 603, 505)(440, 513, 570, 480, 572, 612, 514)(442, 517, 616, 527, 624, 617, 518)(445, 521, 571, 610, 511, 609, 522)(449, 528, 573, 653, 631, 538, 529)(457, 541, 632, 650, 565, 605, 537)(461, 547, 637, 667, 654, 588, 548)(477, 567, 524, 621, 668, 646, 568)(483, 575, 639, 551, 641, 655, 576)(491, 585, 577, 656, 611, 512, 580)(494, 589, 661, 596, 636, 545, 590)(496, 592, 635, 659, 586, 633, 542)(506, 604, 638, 599, 581, 628, 533)(508, 583, 652, 626, 530, 598, 606)(516, 615, 555, 643, 560, 647, 594)(519, 618, 520, 620, 591, 634, 619)(608, 664, 670, 625, 658, 672, 665)(614, 662, 660, 671, 666, 669, 622)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 8, 8 ), ( 8^7 ) }
Outer automorphisms :: reflexible
Dual of E19.2401
Transitivity :: ET+
Graph:: simple bipartite
	v = 216 e = 336 f = 84
	degree seq :: [ 2^168, 7^48 ]

E19.2401 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 7})
Quotient :: loop
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T1 * T2)^7, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^4, (T2 * T1 * T2^-1 * T1 * T2^-1 * T1)^3, T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 337, 3, 339, 8, 344, 4, 340)(2, 338, 5, 341, 11, 347, 6, 342)(7, 343, 13, 349, 24, 360, 14, 350)(9, 345, 16, 352, 29, 365, 17, 353)(10, 346, 18, 354, 32, 368, 19, 355)(12, 348, 21, 357, 37, 373, 22, 358)(15, 351, 26, 362, 45, 381, 27, 363)(20, 356, 34, 370, 58, 394, 35, 371)(23, 359, 39, 375, 66, 402, 40, 376)(25, 361, 42, 378, 71, 407, 43, 379)(28, 364, 47, 383, 79, 415, 48, 384)(30, 366, 50, 386, 84, 420, 51, 387)(31, 367, 52, 388, 87, 423, 53, 389)(33, 369, 55, 391, 92, 428, 56, 392)(36, 372, 60, 396, 100, 436, 61, 397)(38, 374, 63, 399, 105, 441, 64, 400)(41, 377, 68, 404, 112, 448, 69, 405)(44, 380, 73, 409, 120, 456, 74, 410)(46, 382, 76, 412, 125, 461, 77, 413)(49, 385, 81, 417, 133, 469, 82, 418)(54, 390, 89, 425, 144, 480, 90, 426)(57, 393, 94, 430, 152, 488, 95, 431)(59, 395, 97, 433, 157, 493, 98, 434)(62, 398, 102, 438, 165, 501, 103, 439)(65, 401, 106, 442, 170, 506, 107, 443)(67, 403, 109, 445, 175, 511, 110, 446)(70, 406, 114, 450, 182, 518, 115, 451)(72, 408, 117, 453, 186, 522, 118, 454)(75, 411, 122, 458, 191, 527, 123, 459)(78, 414, 127, 463, 196, 532, 128, 464)(80, 416, 130, 466, 198, 534, 131, 467)(83, 419, 135, 471, 201, 537, 136, 472)(85, 421, 138, 474, 139, 475, 86, 422)(88, 424, 141, 477, 208, 544, 142, 478)(91, 427, 146, 482, 215, 551, 147, 483)(93, 429, 149, 485, 219, 555, 150, 486)(96, 432, 154, 490, 224, 560, 155, 491)(99, 435, 159, 495, 229, 565, 160, 496)(101, 437, 162, 498, 231, 567, 163, 499)(104, 440, 167, 503, 234, 570, 168, 504)(108, 444, 172, 508, 132, 468, 173, 509)(111, 447, 177, 513, 129, 465, 178, 514)(113, 449, 179, 515, 137, 473, 180, 516)(116, 452, 183, 519, 134, 470, 184, 520)(119, 455, 187, 523, 255, 591, 188, 524)(121, 457, 189, 525, 258, 594, 190, 526)(124, 460, 192, 528, 261, 597, 193, 529)(126, 462, 194, 530, 263, 599, 195, 531)(140, 476, 205, 541, 164, 500, 206, 542)(143, 479, 210, 546, 161, 497, 211, 547)(145, 481, 212, 548, 169, 505, 213, 549)(148, 484, 216, 552, 166, 502, 217, 553)(151, 487, 220, 556, 291, 627, 221, 557)(153, 489, 222, 558, 294, 630, 223, 559)(156, 492, 225, 561, 297, 633, 226, 562)(158, 494, 227, 563, 299, 635, 228, 564)(171, 507, 237, 573, 281, 617, 238, 574)(174, 510, 218, 554, 289, 625, 241, 577)(176, 512, 243, 579, 313, 649, 244, 580)(181, 517, 249, 585, 303, 639, 232, 568)(185, 521, 253, 589, 277, 613, 207, 543)(197, 533, 235, 571, 293, 629, 265, 601)(199, 535, 214, 550, 285, 621, 267, 603)(200, 536, 268, 604, 320, 656, 269, 605)(202, 538, 257, 593, 301, 637, 230, 566)(203, 539, 271, 607, 287, 623, 272, 608)(204, 540, 273, 609, 245, 581, 274, 610)(209, 545, 279, 615, 325, 661, 280, 616)(233, 569, 304, 640, 332, 668, 305, 641)(236, 572, 307, 643, 251, 587, 308, 644)(239, 575, 310, 646, 250, 586, 296, 632)(240, 576, 311, 647, 254, 590, 312, 648)(242, 578, 306, 642, 252, 588, 282, 618)(246, 582, 278, 614, 270, 606, 288, 624)(247, 583, 295, 631, 266, 602, 314, 650)(248, 584, 315, 651, 264, 600, 316, 652)(256, 592, 317, 653, 334, 670, 318, 654)(259, 595, 302, 638, 326, 662, 283, 619)(260, 596, 275, 611, 322, 658, 286, 622)(262, 598, 319, 655, 333, 669, 309, 645)(276, 612, 323, 659, 290, 626, 324, 660)(284, 620, 327, 663, 300, 636, 328, 664)(292, 628, 329, 665, 336, 672, 330, 666)(298, 634, 331, 667, 335, 671, 321, 657)
	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, 377)(25, 350)(26, 380)(27, 382)(28, 352)(29, 385)(30, 353)(31, 354)(32, 390)(33, 355)(34, 393)(35, 395)(36, 357)(37, 398)(38, 358)(39, 401)(40, 403)(41, 360)(42, 406)(43, 408)(44, 362)(45, 411)(46, 363)(47, 414)(48, 416)(49, 365)(50, 419)(51, 421)(52, 422)(53, 424)(54, 368)(55, 427)(56, 429)(57, 370)(58, 432)(59, 371)(60, 435)(61, 437)(62, 373)(63, 440)(64, 442)(65, 375)(66, 444)(67, 376)(68, 447)(69, 449)(70, 378)(71, 452)(72, 379)(73, 455)(74, 457)(75, 381)(76, 460)(77, 462)(78, 383)(79, 465)(80, 384)(81, 468)(82, 470)(83, 386)(84, 473)(85, 387)(86, 388)(87, 476)(88, 389)(89, 479)(90, 481)(91, 391)(92, 484)(93, 392)(94, 487)(95, 489)(96, 394)(97, 492)(98, 494)(99, 396)(100, 497)(101, 397)(102, 500)(103, 502)(104, 399)(105, 505)(106, 400)(107, 507)(108, 402)(109, 510)(110, 512)(111, 404)(112, 490)(113, 405)(114, 517)(115, 483)(116, 407)(117, 521)(118, 523)(119, 409)(120, 488)(121, 410)(122, 480)(123, 501)(124, 412)(125, 493)(126, 413)(127, 531)(128, 533)(129, 415)(130, 498)(131, 535)(132, 417)(133, 491)(134, 418)(135, 536)(136, 538)(137, 420)(138, 539)(139, 540)(140, 423)(141, 543)(142, 545)(143, 425)(144, 458)(145, 426)(146, 550)(147, 451)(148, 428)(149, 554)(150, 556)(151, 430)(152, 456)(153, 431)(154, 448)(155, 469)(156, 433)(157, 461)(158, 434)(159, 564)(160, 566)(161, 436)(162, 466)(163, 568)(164, 438)(165, 459)(166, 439)(167, 569)(168, 571)(169, 441)(170, 572)(171, 443)(172, 575)(173, 576)(174, 445)(175, 578)(176, 446)(177, 581)(178, 582)(179, 583)(180, 584)(181, 450)(182, 586)(183, 587)(184, 588)(185, 453)(186, 590)(187, 454)(188, 592)(189, 593)(190, 595)(191, 560)(192, 596)(193, 577)(194, 598)(195, 463)(196, 600)(197, 464)(198, 602)(199, 467)(200, 471)(201, 606)(202, 472)(203, 474)(204, 475)(205, 611)(206, 612)(207, 477)(208, 614)(209, 478)(210, 617)(211, 618)(212, 619)(213, 620)(214, 482)(215, 622)(216, 623)(217, 624)(218, 485)(219, 626)(220, 486)(221, 628)(222, 629)(223, 631)(224, 527)(225, 632)(226, 613)(227, 634)(228, 495)(229, 636)(230, 496)(231, 638)(232, 499)(233, 503)(234, 642)(235, 504)(236, 506)(237, 645)(238, 616)(239, 508)(240, 509)(241, 529)(242, 511)(243, 637)(244, 610)(245, 513)(246, 514)(247, 515)(248, 516)(249, 652)(250, 518)(251, 519)(252, 520)(253, 641)(254, 522)(255, 635)(256, 524)(257, 525)(258, 633)(259, 526)(260, 528)(261, 630)(262, 530)(263, 627)(264, 532)(265, 615)(266, 534)(267, 647)(268, 643)(269, 625)(270, 537)(271, 640)(272, 653)(273, 657)(274, 580)(275, 541)(276, 542)(277, 562)(278, 544)(279, 601)(280, 574)(281, 546)(282, 547)(283, 548)(284, 549)(285, 664)(286, 551)(287, 552)(288, 553)(289, 605)(290, 555)(291, 599)(292, 557)(293, 558)(294, 597)(295, 559)(296, 561)(297, 594)(298, 563)(299, 591)(300, 565)(301, 579)(302, 567)(303, 659)(304, 607)(305, 589)(306, 570)(307, 604)(308, 665)(309, 573)(310, 670)(311, 603)(312, 660)(313, 666)(314, 669)(315, 663)(316, 585)(317, 608)(318, 661)(319, 668)(320, 667)(321, 609)(322, 672)(323, 639)(324, 648)(325, 654)(326, 671)(327, 651)(328, 621)(329, 644)(330, 649)(331, 656)(332, 655)(333, 650)(334, 646)(335, 662)(336, 658)
	local type(s) :: { ( 2, 7, 2, 7, 2, 7, 2, 7 ) }
Outer automorphisms :: reflexible
Dual of E19.2400
Transitivity :: ET+ VT+ AT
Graph::
	v = 84 e = 336 f = 216
	degree seq :: [ 8^84 ]

E19.2402 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 7})
Quotient :: loop
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T2)^2, T1^4, (F * T1)^2, T2^7, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1, T2^-1 * T1 * T2^-2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1, (T2 * T1^-1)^6, T1^-2 * T2^3 * T1^-2 * T2^2 * T1^-1 * T2^-2 * T1^-1 * T2^2 ]
Map::
	R = (1, 337, 3, 339, 10, 346, 24, 360, 32, 368, 14, 350, 5, 341)(2, 338, 7, 343, 17, 353, 38, 374, 44, 380, 20, 356, 8, 344)(4, 340, 12, 348, 27, 363, 57, 393, 48, 384, 22, 358, 9, 345)(6, 342, 15, 351, 33, 369, 68, 404, 74, 410, 36, 372, 16, 352)(11, 347, 26, 362, 54, 390, 106, 442, 99, 435, 50, 386, 23, 359)(13, 349, 29, 365, 60, 396, 117, 453, 123, 459, 63, 399, 30, 366)(18, 354, 40, 376, 80, 416, 153, 489, 146, 482, 76, 412, 37, 373)(19, 355, 41, 377, 82, 418, 157, 493, 163, 499, 85, 421, 42, 378)(21, 357, 45, 381, 89, 425, 170, 506, 172, 508, 92, 428, 46, 382)(25, 361, 53, 389, 103, 439, 189, 525, 186, 522, 101, 437, 51, 387)(28, 364, 59, 395, 114, 450, 200, 536, 195, 531, 110, 446, 56, 392)(31, 367, 64, 400, 124, 460, 210, 546, 215, 551, 127, 463, 65, 401)(34, 370, 70, 406, 134, 470, 224, 560, 219, 555, 130, 466, 67, 403)(35, 371, 71, 407, 136, 472, 226, 562, 228, 564, 139, 475, 72, 408)(39, 375, 79, 415, 150, 486, 185, 521, 242, 578, 148, 484, 77, 413)(43, 379, 86, 422, 164, 500, 256, 592, 260, 596, 167, 503, 87, 423)(47, 383, 93, 429, 173, 509, 267, 603, 211, 547, 175, 511, 94, 430)(49, 385, 96, 432, 177, 513, 273, 609, 275, 611, 179, 515, 97, 433)(52, 388, 102, 438, 187, 523, 283, 619, 216, 552, 128, 464, 66, 402)(55, 391, 108, 444, 138, 474, 126, 462, 213, 549, 191, 527, 105, 441)(58, 394, 113, 449, 199, 535, 293, 629, 282, 618, 197, 533, 111, 447)(61, 397, 119, 455, 206, 542, 300, 636, 297, 633, 202, 538, 116, 452)(62, 398, 120, 456, 207, 543, 188, 524, 104, 440, 135, 471, 121, 457)(69, 405, 133, 469, 223, 559, 241, 577, 312, 648, 221, 557, 131, 467)(73, 409, 140, 476, 229, 565, 318, 654, 268, 604, 231, 567, 141, 477)(75, 411, 143, 479, 233, 569, 322, 658, 324, 660, 235, 571, 144, 480)(78, 414, 149, 485, 243, 579, 278, 614, 182, 518, 168, 504, 88, 424)(81, 417, 155, 491, 91, 427, 166, 502, 258, 594, 246, 582, 152, 488)(83, 419, 159, 495, 252, 588, 331, 667, 298, 634, 249, 585, 156, 492)(84, 420, 160, 496, 253, 589, 244, 580, 151, 487, 115, 451, 161, 497)(90, 426, 162, 498, 254, 590, 332, 668, 328, 664, 262, 598, 169, 505)(95, 431, 112, 448, 198, 534, 204, 540, 299, 635, 271, 607, 176, 512)(98, 434, 180, 516, 276, 612, 203, 539, 118, 454, 205, 541, 181, 517)(100, 436, 183, 519, 279, 615, 230, 566, 319, 655, 281, 617, 184, 520)(107, 443, 129, 465, 217, 553, 307, 643, 306, 642, 286, 622, 192, 528)(109, 445, 193, 529, 287, 623, 277, 613, 329, 665, 247, 583, 154, 490)(122, 458, 208, 544, 301, 637, 284, 620, 315, 651, 225, 561, 137, 473)(125, 461, 212, 548, 304, 640, 311, 647, 220, 556, 303, 639, 209, 545)(132, 468, 222, 558, 264, 600, 325, 661, 238, 574, 232, 568, 142, 478)(145, 481, 236, 572, 274, 610, 250, 586, 158, 494, 251, 587, 237, 573)(147, 483, 239, 575, 266, 602, 174, 510, 269, 605, 327, 663, 240, 576)(165, 501, 257, 593, 333, 669, 292, 628, 196, 532, 291, 627, 255, 591)(171, 507, 265, 601, 290, 626, 194, 530, 289, 625, 296, 632, 263, 599)(178, 514, 270, 606, 302, 638, 336, 672, 294, 630, 314, 650, 272, 608)(190, 526, 261, 597, 321, 657, 234, 570, 214, 550, 305, 641, 285, 621)(201, 537, 295, 631, 308, 644, 259, 595, 334, 670, 280, 616, 245, 581)(218, 554, 309, 645, 323, 659, 316, 652, 227, 563, 317, 653, 310, 646)(248, 584, 330, 666, 288, 624, 320, 656, 335, 671, 326, 662, 313, 649)
	L = (1, 338)(2, 342)(3, 345)(4, 337)(5, 349)(6, 340)(7, 341)(8, 355)(9, 357)(10, 359)(11, 339)(12, 352)(13, 354)(14, 367)(15, 344)(16, 371)(17, 373)(18, 343)(19, 370)(20, 379)(21, 347)(22, 383)(23, 385)(24, 387)(25, 346)(26, 382)(27, 392)(28, 348)(29, 350)(30, 398)(31, 397)(32, 402)(33, 403)(34, 351)(35, 364)(36, 409)(37, 411)(38, 413)(39, 353)(40, 366)(41, 356)(42, 420)(43, 419)(44, 424)(45, 358)(46, 427)(47, 426)(48, 431)(49, 361)(50, 434)(51, 436)(52, 360)(53, 433)(54, 441)(55, 362)(56, 445)(57, 447)(58, 363)(59, 408)(60, 452)(61, 365)(62, 417)(63, 458)(64, 368)(65, 462)(66, 461)(67, 465)(68, 467)(69, 369)(70, 378)(71, 372)(72, 474)(73, 473)(74, 478)(75, 375)(76, 481)(77, 483)(78, 374)(79, 480)(80, 488)(81, 376)(82, 492)(83, 377)(84, 471)(85, 498)(86, 380)(87, 502)(88, 501)(89, 505)(90, 381)(91, 391)(92, 495)(93, 384)(94, 496)(95, 510)(96, 386)(97, 470)(98, 514)(99, 518)(100, 388)(101, 521)(102, 520)(103, 524)(104, 389)(105, 469)(106, 528)(107, 390)(108, 491)(109, 394)(110, 530)(111, 532)(112, 393)(113, 490)(114, 487)(115, 395)(116, 537)(117, 539)(118, 396)(119, 401)(120, 399)(121, 497)(122, 477)(123, 534)(124, 545)(125, 400)(126, 475)(127, 550)(128, 536)(129, 405)(130, 554)(131, 556)(132, 404)(133, 443)(134, 440)(135, 406)(136, 561)(137, 407)(138, 451)(139, 455)(140, 410)(141, 456)(142, 566)(143, 412)(144, 450)(145, 570)(146, 574)(147, 414)(148, 577)(149, 576)(150, 580)(151, 415)(152, 449)(153, 583)(154, 416)(155, 457)(156, 584)(157, 586)(158, 418)(159, 423)(160, 421)(161, 444)(162, 430)(163, 438)(164, 591)(165, 422)(166, 428)(167, 595)(168, 442)(169, 597)(170, 599)(171, 425)(172, 558)(173, 602)(174, 429)(175, 606)(176, 560)(177, 608)(178, 432)(179, 605)(180, 435)(181, 589)(182, 613)(183, 437)(184, 590)(185, 616)(186, 618)(187, 493)(188, 601)(189, 621)(190, 439)(191, 587)(192, 593)(193, 446)(194, 624)(195, 552)(196, 448)(197, 525)(198, 628)(199, 582)(200, 571)(201, 454)(202, 632)(203, 634)(204, 453)(205, 581)(206, 564)(207, 567)(208, 459)(209, 638)(210, 603)(211, 460)(212, 464)(213, 463)(214, 573)(215, 500)(216, 642)(217, 466)(218, 644)(219, 607)(220, 468)(221, 629)(222, 647)(223, 527)(224, 515)(225, 650)(226, 652)(227, 472)(228, 485)(229, 615)(230, 476)(231, 656)(232, 489)(233, 657)(234, 479)(235, 548)(236, 482)(237, 549)(238, 609)(239, 484)(240, 542)(241, 662)(242, 522)(243, 562)(244, 541)(245, 486)(246, 653)(247, 655)(248, 494)(249, 612)(250, 620)(251, 649)(252, 508)(253, 511)(254, 499)(255, 641)(256, 546)(257, 504)(258, 503)(259, 646)(260, 565)(261, 507)(262, 659)(263, 633)(264, 506)(265, 526)(266, 671)(267, 654)(268, 509)(269, 512)(270, 517)(271, 658)(272, 651)(273, 572)(274, 513)(275, 661)(276, 623)(277, 516)(278, 668)(279, 670)(280, 519)(281, 665)(282, 648)(283, 637)(284, 523)(285, 627)(286, 619)(287, 666)(288, 529)(289, 531)(290, 543)(291, 533)(292, 544)(293, 672)(294, 535)(295, 538)(296, 643)(297, 600)(298, 540)(299, 667)(300, 663)(301, 669)(302, 547)(303, 557)(304, 660)(305, 551)(306, 625)(307, 631)(308, 553)(309, 555)(310, 594)(311, 588)(312, 578)(313, 559)(314, 563)(315, 610)(316, 664)(317, 630)(318, 592)(319, 568)(320, 626)(321, 598)(322, 645)(323, 569)(324, 635)(325, 636)(326, 575)(327, 611)(328, 579)(329, 614)(330, 585)(331, 640)(332, 617)(333, 622)(334, 596)(335, 604)(336, 639)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2398
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 48 e = 336 f = 252
	degree seq :: [ 14^48 ]

E19.2403 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 7})
Quotient :: loop
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^7, (T2 * T1^-1)^4, (T1^-1 * T2 * T1^3 * T2 * T1^-1)^2, (T1 * T2 * T1^-2 * T2)^3, (T1^2 * T2 * T1^-1 * T2)^3, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-2, T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-1, (T2 * T1 * T2 * T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 337, 3, 339)(2, 338, 6, 342)(4, 340, 9, 345)(5, 341, 12, 348)(7, 343, 16, 352)(8, 344, 17, 353)(10, 346, 21, 357)(11, 347, 23, 359)(13, 349, 27, 363)(14, 350, 28, 364)(15, 351, 31, 367)(18, 354, 35, 371)(19, 355, 38, 374)(20, 356, 32, 368)(22, 358, 42, 378)(24, 360, 46, 382)(25, 361, 47, 383)(26, 362, 50, 386)(29, 365, 53, 389)(30, 366, 55, 391)(33, 369, 59, 395)(34, 370, 62, 398)(36, 372, 65, 401)(37, 373, 67, 403)(39, 375, 70, 406)(40, 376, 73, 409)(41, 377, 68, 404)(43, 379, 78, 414)(44, 380, 79, 415)(45, 381, 82, 418)(48, 384, 85, 421)(49, 385, 87, 423)(51, 387, 90, 426)(52, 388, 93, 429)(54, 390, 96, 432)(56, 392, 100, 436)(57, 393, 101, 437)(58, 394, 104, 440)(60, 396, 106, 442)(61, 397, 109, 445)(63, 399, 113, 449)(64, 400, 110, 446)(66, 402, 117, 453)(69, 405, 121, 457)(71, 407, 125, 461)(72, 408, 127, 463)(74, 410, 130, 466)(75, 411, 133, 469)(76, 412, 128, 464)(77, 413, 136, 472)(80, 416, 139, 475)(81, 417, 141, 477)(83, 419, 144, 480)(84, 420, 147, 483)(86, 422, 150, 486)(88, 424, 154, 490)(89, 425, 155, 491)(91, 427, 158, 494)(92, 428, 160, 496)(94, 430, 164, 500)(95, 431, 161, 497)(97, 433, 169, 505)(98, 434, 170, 506)(99, 435, 172, 508)(102, 438, 175, 511)(103, 439, 176, 512)(105, 441, 180, 516)(107, 443, 183, 519)(108, 444, 184, 520)(111, 447, 188, 524)(112, 448, 191, 527)(114, 450, 194, 530)(115, 451, 197, 533)(116, 452, 192, 528)(118, 454, 201, 537)(119, 455, 202, 538)(120, 456, 204, 540)(122, 458, 206, 542)(123, 459, 209, 545)(124, 460, 177, 513)(126, 462, 196, 532)(129, 465, 215, 551)(131, 467, 219, 555)(132, 468, 190, 526)(134, 470, 222, 558)(135, 471, 224, 560)(137, 473, 226, 562)(138, 474, 229, 565)(140, 476, 230, 566)(142, 478, 234, 570)(143, 479, 235, 571)(145, 481, 237, 573)(146, 482, 181, 517)(148, 484, 241, 577)(149, 485, 239, 575)(151, 487, 244, 580)(152, 488, 245, 581)(153, 489, 247, 583)(156, 492, 250, 586)(157, 493, 252, 588)(159, 495, 255, 591)(162, 498, 258, 594)(163, 499, 260, 596)(165, 501, 262, 598)(166, 502, 263, 599)(167, 503, 261, 597)(168, 504, 266, 602)(171, 507, 269, 605)(173, 509, 246, 582)(174, 510, 272, 608)(178, 514, 243, 579)(179, 515, 278, 614)(182, 518, 279, 615)(185, 521, 231, 567)(186, 522, 216, 552)(187, 523, 225, 561)(189, 525, 286, 622)(193, 529, 289, 625)(195, 531, 257, 593)(198, 534, 236, 572)(199, 535, 295, 631)(200, 536, 270, 606)(203, 539, 267, 603)(205, 541, 285, 621)(207, 543, 298, 634)(208, 544, 299, 635)(210, 546, 290, 626)(211, 547, 302, 638)(212, 548, 254, 590)(213, 549, 303, 639)(214, 550, 271, 607)(217, 553, 281, 617)(218, 554, 248, 584)(220, 556, 301, 637)(221, 557, 308, 644)(223, 559, 310, 646)(227, 563, 312, 648)(228, 564, 253, 589)(232, 568, 268, 604)(233, 569, 316, 652)(238, 574, 283, 619)(240, 576, 318, 654)(242, 578, 320, 656)(249, 585, 322, 658)(251, 587, 324, 660)(256, 592, 311, 647)(259, 595, 326, 662)(264, 600, 287, 623)(265, 601, 327, 663)(273, 609, 315, 651)(274, 610, 328, 664)(275, 611, 309, 645)(276, 612, 330, 666)(277, 613, 294, 630)(280, 616, 331, 667)(282, 618, 313, 649)(284, 620, 306, 642)(288, 624, 334, 670)(291, 627, 325, 661)(292, 628, 307, 643)(293, 629, 314, 650)(296, 632, 333, 669)(297, 633, 332, 668)(300, 636, 329, 665)(304, 640, 317, 653)(305, 641, 321, 657)(319, 655, 335, 671)(323, 659, 336, 672)
	L = (1, 338)(2, 341)(3, 343)(4, 337)(5, 347)(6, 349)(7, 351)(8, 339)(9, 355)(10, 340)(11, 358)(12, 360)(13, 362)(14, 342)(15, 366)(16, 368)(17, 370)(18, 344)(19, 373)(20, 345)(21, 376)(22, 346)(23, 379)(24, 381)(25, 348)(26, 385)(27, 353)(28, 388)(29, 350)(30, 372)(31, 392)(32, 394)(33, 352)(34, 397)(35, 399)(36, 354)(37, 402)(38, 404)(39, 356)(40, 408)(41, 357)(42, 411)(43, 413)(44, 359)(45, 417)(46, 364)(47, 420)(48, 361)(49, 390)(50, 424)(51, 363)(52, 428)(53, 430)(54, 365)(55, 433)(56, 435)(57, 367)(58, 439)(59, 441)(60, 369)(61, 444)(62, 446)(63, 448)(64, 371)(65, 451)(66, 407)(67, 454)(68, 456)(69, 374)(70, 459)(71, 375)(72, 462)(73, 464)(74, 377)(75, 468)(76, 378)(77, 471)(78, 383)(79, 474)(80, 380)(81, 422)(82, 478)(83, 382)(84, 482)(85, 484)(86, 384)(87, 487)(88, 489)(89, 386)(90, 493)(91, 387)(92, 495)(93, 497)(94, 499)(95, 389)(96, 502)(97, 504)(98, 391)(99, 507)(100, 395)(101, 510)(102, 393)(103, 443)(104, 513)(105, 515)(106, 517)(107, 396)(108, 427)(109, 521)(110, 523)(111, 398)(112, 526)(113, 528)(114, 400)(115, 532)(116, 401)(117, 535)(118, 536)(119, 403)(120, 539)(121, 541)(122, 405)(123, 544)(124, 406)(125, 547)(126, 467)(127, 549)(128, 550)(129, 409)(130, 553)(131, 410)(132, 556)(133, 415)(134, 412)(135, 476)(136, 561)(137, 414)(138, 564)(139, 438)(140, 416)(141, 567)(142, 569)(143, 418)(144, 572)(145, 419)(146, 574)(147, 575)(148, 455)(149, 421)(150, 434)(151, 579)(152, 423)(153, 582)(154, 426)(155, 585)(156, 425)(157, 587)(158, 589)(159, 481)(160, 592)(161, 593)(162, 429)(163, 463)(164, 597)(165, 431)(166, 453)(167, 432)(168, 601)(169, 437)(170, 604)(171, 475)(172, 583)(173, 436)(174, 500)(175, 609)(176, 580)(177, 570)(178, 440)(179, 613)(180, 615)(181, 616)(182, 442)(183, 618)(184, 620)(185, 571)(186, 445)(187, 562)(188, 621)(189, 447)(190, 531)(191, 624)(192, 573)(193, 449)(194, 598)(195, 450)(196, 627)(197, 506)(198, 452)(199, 630)(200, 485)(201, 457)(202, 529)(203, 543)(204, 584)(205, 632)(206, 496)(207, 458)(208, 472)(209, 590)(210, 460)(211, 637)(212, 461)(213, 501)(214, 640)(215, 641)(216, 465)(217, 479)(218, 466)(219, 643)(220, 559)(221, 469)(222, 492)(223, 470)(224, 647)(225, 546)(226, 623)(227, 473)(228, 649)(229, 605)(230, 488)(231, 524)(232, 477)(233, 554)(234, 480)(235, 610)(236, 612)(237, 653)(238, 563)(239, 639)(240, 483)(241, 656)(242, 486)(243, 657)(244, 491)(245, 628)(246, 558)(247, 652)(248, 490)(249, 577)(250, 633)(251, 602)(252, 548)(253, 661)(254, 494)(255, 634)(256, 635)(257, 644)(258, 516)(259, 498)(260, 636)(261, 648)(262, 606)(263, 581)(264, 503)(265, 578)(266, 540)(267, 505)(268, 638)(269, 537)(270, 508)(271, 509)(272, 664)(273, 522)(274, 511)(275, 512)(276, 514)(277, 607)(278, 662)(279, 555)(280, 527)(281, 518)(282, 520)(283, 519)(284, 591)(285, 668)(286, 614)(287, 525)(288, 617)(289, 658)(290, 530)(291, 629)(292, 533)(293, 534)(294, 600)(295, 538)(296, 650)(297, 542)(298, 619)(299, 659)(300, 545)(301, 667)(302, 599)(303, 551)(304, 642)(305, 655)(306, 552)(307, 560)(308, 663)(309, 557)(310, 568)(311, 594)(312, 603)(313, 645)(314, 565)(315, 566)(316, 626)(317, 631)(318, 588)(319, 576)(320, 611)(321, 651)(322, 672)(323, 586)(324, 671)(325, 596)(326, 660)(327, 595)(328, 670)(329, 608)(330, 669)(331, 654)(332, 646)(333, 622)(334, 625)(335, 666)(336, 665)
	local type(s) :: { ( 4, 7, 4, 7 ) }
Outer automorphisms :: reflexible
Dual of E19.2399
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 168 e = 336 f = 132
	degree seq :: [ 4^168 ]

E19.2404 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 7})
Quotient :: dipole
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2^3)^2, (Y2 * Y1)^7, (Y3 * Y2^-1)^7, Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2, (Y2 * Y1 * Y2^-1 * Y1)^4, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1)^3 ]
Map::
	R = (1, 337, 2, 338)(3, 339, 7, 343)(4, 340, 9, 345)(5, 341, 10, 346)(6, 342, 12, 348)(8, 344, 15, 351)(11, 347, 20, 356)(13, 349, 23, 359)(14, 350, 25, 361)(16, 352, 28, 364)(17, 353, 30, 366)(18, 354, 31, 367)(19, 355, 33, 369)(21, 357, 36, 372)(22, 358, 38, 374)(24, 360, 41, 377)(26, 362, 44, 380)(27, 363, 46, 382)(29, 365, 49, 385)(32, 368, 54, 390)(34, 370, 57, 393)(35, 371, 59, 395)(37, 373, 62, 398)(39, 375, 65, 401)(40, 376, 67, 403)(42, 378, 70, 406)(43, 379, 72, 408)(45, 381, 75, 411)(47, 383, 78, 414)(48, 384, 80, 416)(50, 386, 83, 419)(51, 387, 85, 421)(52, 388, 86, 422)(53, 389, 88, 424)(55, 391, 91, 427)(56, 392, 93, 429)(58, 394, 96, 432)(60, 396, 99, 435)(61, 397, 101, 437)(63, 399, 104, 440)(64, 400, 106, 442)(66, 402, 108, 444)(68, 404, 111, 447)(69, 405, 113, 449)(71, 407, 116, 452)(73, 409, 119, 455)(74, 410, 121, 457)(76, 412, 124, 460)(77, 413, 126, 462)(79, 415, 129, 465)(81, 417, 132, 468)(82, 418, 134, 470)(84, 420, 137, 473)(87, 423, 140, 476)(89, 425, 143, 479)(90, 426, 145, 481)(92, 428, 148, 484)(94, 430, 151, 487)(95, 431, 153, 489)(97, 433, 156, 492)(98, 434, 158, 494)(100, 436, 161, 497)(102, 438, 164, 500)(103, 439, 166, 502)(105, 441, 169, 505)(107, 443, 171, 507)(109, 445, 174, 510)(110, 446, 176, 512)(112, 448, 154, 490)(114, 450, 181, 517)(115, 451, 147, 483)(117, 453, 185, 521)(118, 454, 187, 523)(120, 456, 152, 488)(122, 458, 144, 480)(123, 459, 165, 501)(125, 461, 157, 493)(127, 463, 195, 531)(128, 464, 197, 533)(130, 466, 162, 498)(131, 467, 199, 535)(133, 469, 155, 491)(135, 471, 200, 536)(136, 472, 202, 538)(138, 474, 203, 539)(139, 475, 204, 540)(141, 477, 207, 543)(142, 478, 209, 545)(146, 482, 214, 550)(149, 485, 218, 554)(150, 486, 220, 556)(159, 495, 228, 564)(160, 496, 230, 566)(163, 499, 232, 568)(167, 503, 233, 569)(168, 504, 235, 571)(170, 506, 236, 572)(172, 508, 239, 575)(173, 509, 240, 576)(175, 511, 242, 578)(177, 513, 245, 581)(178, 514, 246, 582)(179, 515, 247, 583)(180, 516, 248, 584)(182, 518, 250, 586)(183, 519, 251, 587)(184, 520, 252, 588)(186, 522, 254, 590)(188, 524, 256, 592)(189, 525, 257, 593)(190, 526, 259, 595)(191, 527, 224, 560)(192, 528, 260, 596)(193, 529, 241, 577)(194, 530, 262, 598)(196, 532, 264, 600)(198, 534, 266, 602)(201, 537, 270, 606)(205, 541, 275, 611)(206, 542, 276, 612)(208, 544, 278, 614)(210, 546, 281, 617)(211, 547, 282, 618)(212, 548, 283, 619)(213, 549, 284, 620)(215, 551, 286, 622)(216, 552, 287, 623)(217, 553, 288, 624)(219, 555, 290, 626)(221, 557, 292, 628)(222, 558, 293, 629)(223, 559, 295, 631)(225, 561, 296, 632)(226, 562, 277, 613)(227, 563, 298, 634)(229, 565, 300, 636)(231, 567, 302, 638)(234, 570, 306, 642)(237, 573, 309, 645)(238, 574, 280, 616)(243, 579, 301, 637)(244, 580, 274, 610)(249, 585, 316, 652)(253, 589, 305, 641)(255, 591, 299, 635)(258, 594, 297, 633)(261, 597, 294, 630)(263, 599, 291, 627)(265, 601, 279, 615)(267, 603, 311, 647)(268, 604, 307, 643)(269, 605, 289, 625)(271, 607, 304, 640)(272, 608, 317, 653)(273, 609, 321, 657)(285, 621, 328, 664)(303, 639, 323, 659)(308, 644, 329, 665)(310, 646, 334, 670)(312, 648, 324, 660)(313, 649, 330, 666)(314, 650, 333, 669)(315, 651, 327, 663)(318, 654, 325, 661)(319, 655, 332, 668)(320, 656, 331, 667)(322, 658, 336, 672)(326, 662, 335, 671)(673, 1009, 675, 1011, 680, 1016, 676, 1012)(674, 1010, 677, 1013, 683, 1019, 678, 1014)(679, 1015, 685, 1021, 696, 1032, 686, 1022)(681, 1017, 688, 1024, 701, 1037, 689, 1025)(682, 1018, 690, 1026, 704, 1040, 691, 1027)(684, 1020, 693, 1029, 709, 1045, 694, 1030)(687, 1023, 698, 1034, 717, 1053, 699, 1035)(692, 1028, 706, 1042, 730, 1066, 707, 1043)(695, 1031, 711, 1047, 738, 1074, 712, 1048)(697, 1033, 714, 1050, 743, 1079, 715, 1051)(700, 1036, 719, 1055, 751, 1087, 720, 1056)(702, 1038, 722, 1058, 756, 1092, 723, 1059)(703, 1039, 724, 1060, 759, 1095, 725, 1061)(705, 1041, 727, 1063, 764, 1100, 728, 1064)(708, 1044, 732, 1068, 772, 1108, 733, 1069)(710, 1046, 735, 1071, 777, 1113, 736, 1072)(713, 1049, 740, 1076, 784, 1120, 741, 1077)(716, 1052, 745, 1081, 792, 1128, 746, 1082)(718, 1054, 748, 1084, 797, 1133, 749, 1085)(721, 1057, 753, 1089, 805, 1141, 754, 1090)(726, 1062, 761, 1097, 816, 1152, 762, 1098)(729, 1065, 766, 1102, 824, 1160, 767, 1103)(731, 1067, 769, 1105, 829, 1165, 770, 1106)(734, 1070, 774, 1110, 837, 1173, 775, 1111)(737, 1073, 778, 1114, 842, 1178, 779, 1115)(739, 1075, 781, 1117, 847, 1183, 782, 1118)(742, 1078, 786, 1122, 854, 1190, 787, 1123)(744, 1080, 789, 1125, 858, 1194, 790, 1126)(747, 1083, 794, 1130, 863, 1199, 795, 1131)(750, 1086, 799, 1135, 868, 1204, 800, 1136)(752, 1088, 802, 1138, 870, 1206, 803, 1139)(755, 1091, 807, 1143, 873, 1209, 808, 1144)(757, 1093, 810, 1146, 811, 1147, 758, 1094)(760, 1096, 813, 1149, 880, 1216, 814, 1150)(763, 1099, 818, 1154, 887, 1223, 819, 1155)(765, 1101, 821, 1157, 891, 1227, 822, 1158)(768, 1104, 826, 1162, 896, 1232, 827, 1163)(771, 1107, 831, 1167, 901, 1237, 832, 1168)(773, 1109, 834, 1170, 903, 1239, 835, 1171)(776, 1112, 839, 1175, 906, 1242, 840, 1176)(780, 1116, 844, 1180, 804, 1140, 845, 1181)(783, 1119, 849, 1185, 801, 1137, 850, 1186)(785, 1121, 851, 1187, 809, 1145, 852, 1188)(788, 1124, 855, 1191, 806, 1142, 856, 1192)(791, 1127, 859, 1195, 927, 1263, 860, 1196)(793, 1129, 861, 1197, 930, 1266, 862, 1198)(796, 1132, 864, 1200, 933, 1269, 865, 1201)(798, 1134, 866, 1202, 935, 1271, 867, 1203)(812, 1148, 877, 1213, 836, 1172, 878, 1214)(815, 1151, 882, 1218, 833, 1169, 883, 1219)(817, 1153, 884, 1220, 841, 1177, 885, 1221)(820, 1156, 888, 1224, 838, 1174, 889, 1225)(823, 1159, 892, 1228, 963, 1299, 893, 1229)(825, 1161, 894, 1230, 966, 1302, 895, 1231)(828, 1164, 897, 1233, 969, 1305, 898, 1234)(830, 1166, 899, 1235, 971, 1307, 900, 1236)(843, 1179, 909, 1245, 953, 1289, 910, 1246)(846, 1182, 890, 1226, 961, 1297, 913, 1249)(848, 1184, 915, 1251, 985, 1321, 916, 1252)(853, 1189, 921, 1257, 975, 1311, 904, 1240)(857, 1193, 925, 1261, 949, 1285, 879, 1215)(869, 1205, 907, 1243, 965, 1301, 937, 1273)(871, 1207, 886, 1222, 957, 1293, 939, 1275)(872, 1208, 940, 1276, 992, 1328, 941, 1277)(874, 1210, 929, 1265, 973, 1309, 902, 1238)(875, 1211, 943, 1279, 959, 1295, 944, 1280)(876, 1212, 945, 1281, 917, 1253, 946, 1282)(881, 1217, 951, 1287, 997, 1333, 952, 1288)(905, 1241, 976, 1312, 1004, 1340, 977, 1313)(908, 1244, 979, 1315, 923, 1259, 980, 1316)(911, 1247, 982, 1318, 922, 1258, 968, 1304)(912, 1248, 983, 1319, 926, 1262, 984, 1320)(914, 1250, 978, 1314, 924, 1260, 954, 1290)(918, 1254, 950, 1286, 942, 1278, 960, 1296)(919, 1255, 967, 1303, 938, 1274, 986, 1322)(920, 1256, 987, 1323, 936, 1272, 988, 1324)(928, 1264, 989, 1325, 1006, 1342, 990, 1326)(931, 1267, 974, 1310, 998, 1334, 955, 1291)(932, 1268, 947, 1283, 994, 1330, 958, 1294)(934, 1270, 991, 1327, 1005, 1341, 981, 1317)(948, 1284, 995, 1331, 962, 1298, 996, 1332)(956, 1292, 999, 1335, 972, 1308, 1000, 1336)(964, 1300, 1001, 1337, 1008, 1344, 1002, 1338)(970, 1306, 1003, 1339, 1007, 1343, 993, 1329)
	L = (1, 674)(2, 673)(3, 679)(4, 681)(5, 682)(6, 684)(7, 675)(8, 687)(9, 676)(10, 677)(11, 692)(12, 678)(13, 695)(14, 697)(15, 680)(16, 700)(17, 702)(18, 703)(19, 705)(20, 683)(21, 708)(22, 710)(23, 685)(24, 713)(25, 686)(26, 716)(27, 718)(28, 688)(29, 721)(30, 689)(31, 690)(32, 726)(33, 691)(34, 729)(35, 731)(36, 693)(37, 734)(38, 694)(39, 737)(40, 739)(41, 696)(42, 742)(43, 744)(44, 698)(45, 747)(46, 699)(47, 750)(48, 752)(49, 701)(50, 755)(51, 757)(52, 758)(53, 760)(54, 704)(55, 763)(56, 765)(57, 706)(58, 768)(59, 707)(60, 771)(61, 773)(62, 709)(63, 776)(64, 778)(65, 711)(66, 780)(67, 712)(68, 783)(69, 785)(70, 714)(71, 788)(72, 715)(73, 791)(74, 793)(75, 717)(76, 796)(77, 798)(78, 719)(79, 801)(80, 720)(81, 804)(82, 806)(83, 722)(84, 809)(85, 723)(86, 724)(87, 812)(88, 725)(89, 815)(90, 817)(91, 727)(92, 820)(93, 728)(94, 823)(95, 825)(96, 730)(97, 828)(98, 830)(99, 732)(100, 833)(101, 733)(102, 836)(103, 838)(104, 735)(105, 841)(106, 736)(107, 843)(108, 738)(109, 846)(110, 848)(111, 740)(112, 826)(113, 741)(114, 853)(115, 819)(116, 743)(117, 857)(118, 859)(119, 745)(120, 824)(121, 746)(122, 816)(123, 837)(124, 748)(125, 829)(126, 749)(127, 867)(128, 869)(129, 751)(130, 834)(131, 871)(132, 753)(133, 827)(134, 754)(135, 872)(136, 874)(137, 756)(138, 875)(139, 876)(140, 759)(141, 879)(142, 881)(143, 761)(144, 794)(145, 762)(146, 886)(147, 787)(148, 764)(149, 890)(150, 892)(151, 766)(152, 792)(153, 767)(154, 784)(155, 805)(156, 769)(157, 797)(158, 770)(159, 900)(160, 902)(161, 772)(162, 802)(163, 904)(164, 774)(165, 795)(166, 775)(167, 905)(168, 907)(169, 777)(170, 908)(171, 779)(172, 911)(173, 912)(174, 781)(175, 914)(176, 782)(177, 917)(178, 918)(179, 919)(180, 920)(181, 786)(182, 922)(183, 923)(184, 924)(185, 789)(186, 926)(187, 790)(188, 928)(189, 929)(190, 931)(191, 896)(192, 932)(193, 913)(194, 934)(195, 799)(196, 936)(197, 800)(198, 938)(199, 803)(200, 807)(201, 942)(202, 808)(203, 810)(204, 811)(205, 947)(206, 948)(207, 813)(208, 950)(209, 814)(210, 953)(211, 954)(212, 955)(213, 956)(214, 818)(215, 958)(216, 959)(217, 960)(218, 821)(219, 962)(220, 822)(221, 964)(222, 965)(223, 967)(224, 863)(225, 968)(226, 949)(227, 970)(228, 831)(229, 972)(230, 832)(231, 974)(232, 835)(233, 839)(234, 978)(235, 840)(236, 842)(237, 981)(238, 952)(239, 844)(240, 845)(241, 865)(242, 847)(243, 973)(244, 946)(245, 849)(246, 850)(247, 851)(248, 852)(249, 988)(250, 854)(251, 855)(252, 856)(253, 977)(254, 858)(255, 971)(256, 860)(257, 861)(258, 969)(259, 862)(260, 864)(261, 966)(262, 866)(263, 963)(264, 868)(265, 951)(266, 870)(267, 983)(268, 979)(269, 961)(270, 873)(271, 976)(272, 989)(273, 993)(274, 916)(275, 877)(276, 878)(277, 898)(278, 880)(279, 937)(280, 910)(281, 882)(282, 883)(283, 884)(284, 885)(285, 1000)(286, 887)(287, 888)(288, 889)(289, 941)(290, 891)(291, 935)(292, 893)(293, 894)(294, 933)(295, 895)(296, 897)(297, 930)(298, 899)(299, 927)(300, 901)(301, 915)(302, 903)(303, 995)(304, 943)(305, 925)(306, 906)(307, 940)(308, 1001)(309, 909)(310, 1006)(311, 939)(312, 996)(313, 1002)(314, 1005)(315, 999)(316, 921)(317, 944)(318, 997)(319, 1004)(320, 1003)(321, 945)(322, 1008)(323, 975)(324, 984)(325, 990)(326, 1007)(327, 987)(328, 957)(329, 980)(330, 985)(331, 992)(332, 991)(333, 986)(334, 982)(335, 998)(336, 994)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 2, 14, 2, 14 ), ( 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.2407
Graph:: bipartite
	v = 252 e = 672 f = 384
	degree seq :: [ 4^168, 8^84 ]

E19.2405 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 7})
Quotient :: dipole
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y2^7, Y2^-2 * Y1 * Y2^-1 * Y1^2 * Y2^2 * Y1^-1 * Y2 * Y1^-2, Y2^2 * Y1^-2 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^-2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y2^3 * Y1^-1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^6, Y1^-2 * Y2^3 * Y1^2 * Y2^2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^2 ]
Map::
	R = (1, 337, 2, 338, 6, 342, 4, 340)(3, 339, 9, 345, 21, 357, 11, 347)(5, 341, 13, 349, 18, 354, 7, 343)(8, 344, 19, 355, 34, 370, 15, 351)(10, 346, 23, 359, 49, 385, 25, 361)(12, 348, 16, 352, 35, 371, 28, 364)(14, 350, 31, 367, 61, 397, 29, 365)(17, 353, 37, 373, 75, 411, 39, 375)(20, 356, 43, 379, 83, 419, 41, 377)(22, 358, 47, 383, 90, 426, 45, 381)(24, 360, 51, 387, 100, 436, 52, 388)(26, 362, 46, 382, 91, 427, 55, 391)(27, 363, 56, 392, 109, 445, 58, 394)(30, 366, 62, 398, 81, 417, 40, 376)(32, 368, 66, 402, 125, 461, 64, 400)(33, 369, 67, 403, 129, 465, 69, 405)(36, 372, 73, 409, 137, 473, 71, 407)(38, 374, 77, 413, 147, 483, 78, 414)(42, 378, 84, 420, 135, 471, 70, 406)(44, 380, 88, 424, 165, 501, 86, 422)(48, 384, 95, 431, 174, 510, 93, 429)(50, 386, 98, 434, 178, 514, 96, 432)(53, 389, 97, 433, 134, 470, 104, 440)(54, 390, 105, 441, 133, 469, 107, 443)(57, 393, 111, 447, 196, 532, 112, 448)(59, 395, 72, 408, 138, 474, 115, 451)(60, 396, 116, 452, 201, 537, 118, 454)(63, 399, 122, 458, 141, 477, 120, 456)(65, 401, 126, 462, 139, 475, 119, 455)(68, 404, 131, 467, 220, 556, 132, 468)(74, 410, 142, 478, 230, 566, 140, 476)(76, 412, 145, 481, 234, 570, 143, 479)(79, 415, 144, 480, 114, 450, 151, 487)(80, 416, 152, 488, 113, 449, 154, 490)(82, 418, 156, 492, 248, 584, 158, 494)(85, 421, 162, 498, 94, 430, 160, 496)(87, 423, 166, 502, 92, 428, 159, 495)(89, 425, 169, 505, 261, 597, 171, 507)(99, 435, 182, 518, 277, 613, 180, 516)(101, 437, 185, 521, 280, 616, 183, 519)(102, 438, 184, 520, 254, 590, 163, 499)(103, 439, 188, 524, 265, 601, 190, 526)(106, 442, 192, 528, 257, 593, 168, 504)(108, 444, 155, 491, 121, 457, 161, 497)(110, 446, 194, 530, 288, 624, 193, 529)(117, 453, 203, 539, 298, 634, 204, 540)(123, 459, 198, 534, 292, 628, 208, 544)(124, 460, 209, 545, 302, 638, 211, 547)(127, 463, 214, 550, 237, 573, 213, 549)(128, 464, 200, 536, 235, 571, 212, 548)(130, 466, 218, 554, 308, 644, 217, 553)(136, 472, 225, 561, 314, 650, 227, 563)(146, 482, 238, 574, 273, 609, 236, 572)(148, 484, 241, 577, 326, 662, 239, 575)(149, 485, 240, 576, 206, 542, 228, 564)(150, 486, 244, 580, 205, 541, 245, 581)(153, 489, 247, 583, 319, 655, 232, 568)(157, 493, 250, 586, 284, 620, 187, 523)(164, 500, 255, 591, 305, 641, 215, 551)(167, 503, 259, 595, 310, 646, 258, 594)(170, 506, 263, 599, 297, 633, 264, 600)(172, 508, 222, 558, 311, 647, 252, 588)(173, 509, 266, 602, 335, 671, 268, 604)(175, 511, 270, 606, 181, 517, 253, 589)(176, 512, 224, 560, 179, 515, 269, 605)(177, 513, 272, 608, 315, 651, 274, 610)(186, 522, 282, 618, 312, 648, 242, 578)(189, 525, 285, 621, 291, 627, 197, 533)(191, 527, 251, 587, 313, 649, 223, 559)(195, 531, 216, 552, 306, 642, 289, 625)(199, 535, 246, 582, 317, 653, 294, 630)(202, 538, 296, 632, 307, 643, 295, 631)(207, 543, 231, 567, 320, 656, 290, 626)(210, 546, 267, 603, 318, 654, 256, 592)(219, 555, 271, 607, 322, 658, 309, 645)(221, 557, 293, 629, 336, 672, 303, 639)(226, 562, 316, 652, 328, 664, 243, 579)(229, 565, 279, 615, 334, 670, 260, 596)(233, 569, 321, 657, 262, 598, 323, 659)(249, 585, 276, 612, 287, 623, 330, 666)(275, 611, 325, 661, 300, 636, 327, 663)(278, 614, 332, 668, 281, 617, 329, 665)(283, 619, 301, 637, 333, 669, 286, 622)(299, 635, 331, 667, 304, 640, 324, 660)(673, 1009, 675, 1011, 682, 1018, 696, 1032, 704, 1040, 686, 1022, 677, 1013)(674, 1010, 679, 1015, 689, 1025, 710, 1046, 716, 1052, 692, 1028, 680, 1016)(676, 1012, 684, 1020, 699, 1035, 729, 1065, 720, 1056, 694, 1030, 681, 1017)(678, 1014, 687, 1023, 705, 1041, 740, 1076, 746, 1082, 708, 1044, 688, 1024)(683, 1019, 698, 1034, 726, 1062, 778, 1114, 771, 1107, 722, 1058, 695, 1031)(685, 1021, 701, 1037, 732, 1068, 789, 1125, 795, 1131, 735, 1071, 702, 1038)(690, 1026, 712, 1048, 752, 1088, 825, 1161, 818, 1154, 748, 1084, 709, 1045)(691, 1027, 713, 1049, 754, 1090, 829, 1165, 835, 1171, 757, 1093, 714, 1050)(693, 1029, 717, 1053, 761, 1097, 842, 1178, 844, 1180, 764, 1100, 718, 1054)(697, 1033, 725, 1061, 775, 1111, 861, 1197, 858, 1194, 773, 1109, 723, 1059)(700, 1036, 731, 1067, 786, 1122, 872, 1208, 867, 1203, 782, 1118, 728, 1064)(703, 1039, 736, 1072, 796, 1132, 882, 1218, 887, 1223, 799, 1135, 737, 1073)(706, 1042, 742, 1078, 806, 1142, 896, 1232, 891, 1227, 802, 1138, 739, 1075)(707, 1043, 743, 1079, 808, 1144, 898, 1234, 900, 1236, 811, 1147, 744, 1080)(711, 1047, 751, 1087, 822, 1158, 857, 1193, 914, 1250, 820, 1156, 749, 1085)(715, 1051, 758, 1094, 836, 1172, 928, 1264, 932, 1268, 839, 1175, 759, 1095)(719, 1055, 765, 1101, 845, 1181, 939, 1275, 883, 1219, 847, 1183, 766, 1102)(721, 1057, 768, 1104, 849, 1185, 945, 1281, 947, 1283, 851, 1187, 769, 1105)(724, 1060, 774, 1110, 859, 1195, 955, 1291, 888, 1224, 800, 1136, 738, 1074)(727, 1063, 780, 1116, 810, 1146, 798, 1134, 885, 1221, 863, 1199, 777, 1113)(730, 1066, 785, 1121, 871, 1207, 965, 1301, 954, 1290, 869, 1205, 783, 1119)(733, 1069, 791, 1127, 878, 1214, 972, 1308, 969, 1305, 874, 1210, 788, 1124)(734, 1070, 792, 1128, 879, 1215, 860, 1196, 776, 1112, 807, 1143, 793, 1129)(741, 1077, 805, 1141, 895, 1231, 913, 1249, 984, 1320, 893, 1229, 803, 1139)(745, 1081, 812, 1148, 901, 1237, 990, 1326, 940, 1276, 903, 1239, 813, 1149)(747, 1083, 815, 1151, 905, 1241, 994, 1330, 996, 1332, 907, 1243, 816, 1152)(750, 1086, 821, 1157, 915, 1251, 950, 1286, 854, 1190, 840, 1176, 760, 1096)(753, 1089, 827, 1163, 763, 1099, 838, 1174, 930, 1266, 918, 1254, 824, 1160)(755, 1091, 831, 1167, 924, 1260, 1003, 1339, 970, 1306, 921, 1257, 828, 1164)(756, 1092, 832, 1168, 925, 1261, 916, 1252, 823, 1159, 787, 1123, 833, 1169)(762, 1098, 834, 1170, 926, 1262, 1004, 1340, 1000, 1336, 934, 1270, 841, 1177)(767, 1103, 784, 1120, 870, 1206, 876, 1212, 971, 1307, 943, 1279, 848, 1184)(770, 1106, 852, 1188, 948, 1284, 875, 1211, 790, 1126, 877, 1213, 853, 1189)(772, 1108, 855, 1191, 951, 1287, 902, 1238, 991, 1327, 953, 1289, 856, 1192)(779, 1115, 801, 1137, 889, 1225, 979, 1315, 978, 1314, 958, 1294, 864, 1200)(781, 1117, 865, 1201, 959, 1295, 949, 1285, 1001, 1337, 919, 1255, 826, 1162)(794, 1130, 880, 1216, 973, 1309, 956, 1292, 987, 1323, 897, 1233, 809, 1145)(797, 1133, 884, 1220, 976, 1312, 983, 1319, 892, 1228, 975, 1311, 881, 1217)(804, 1140, 894, 1230, 936, 1272, 997, 1333, 910, 1246, 904, 1240, 814, 1150)(817, 1153, 908, 1244, 946, 1282, 922, 1258, 830, 1166, 923, 1259, 909, 1245)(819, 1155, 911, 1247, 938, 1274, 846, 1182, 941, 1277, 999, 1335, 912, 1248)(837, 1173, 929, 1265, 1005, 1341, 964, 1300, 868, 1204, 963, 1299, 927, 1263)(843, 1179, 937, 1273, 962, 1298, 866, 1202, 961, 1297, 968, 1304, 935, 1271)(850, 1186, 942, 1278, 974, 1310, 1008, 1344, 966, 1302, 986, 1322, 944, 1280)(862, 1198, 933, 1269, 993, 1329, 906, 1242, 886, 1222, 977, 1313, 957, 1293)(873, 1209, 967, 1303, 980, 1316, 931, 1267, 1006, 1342, 952, 1288, 917, 1253)(890, 1226, 981, 1317, 995, 1331, 988, 1324, 899, 1235, 989, 1325, 982, 1318)(920, 1256, 1002, 1338, 960, 1296, 992, 1328, 1007, 1343, 998, 1334, 985, 1321)
	L = (1, 675)(2, 679)(3, 682)(4, 684)(5, 673)(6, 687)(7, 689)(8, 674)(9, 676)(10, 696)(11, 698)(12, 699)(13, 701)(14, 677)(15, 705)(16, 678)(17, 710)(18, 712)(19, 713)(20, 680)(21, 717)(22, 681)(23, 683)(24, 704)(25, 725)(26, 726)(27, 729)(28, 731)(29, 732)(30, 685)(31, 736)(32, 686)(33, 740)(34, 742)(35, 743)(36, 688)(37, 690)(38, 716)(39, 751)(40, 752)(41, 754)(42, 691)(43, 758)(44, 692)(45, 761)(46, 693)(47, 765)(48, 694)(49, 768)(50, 695)(51, 697)(52, 774)(53, 775)(54, 778)(55, 780)(56, 700)(57, 720)(58, 785)(59, 786)(60, 789)(61, 791)(62, 792)(63, 702)(64, 796)(65, 703)(66, 724)(67, 706)(68, 746)(69, 805)(70, 806)(71, 808)(72, 707)(73, 812)(74, 708)(75, 815)(76, 709)(77, 711)(78, 821)(79, 822)(80, 825)(81, 827)(82, 829)(83, 831)(84, 832)(85, 714)(86, 836)(87, 715)(88, 750)(89, 842)(90, 834)(91, 838)(92, 718)(93, 845)(94, 719)(95, 784)(96, 849)(97, 721)(98, 852)(99, 722)(100, 855)(101, 723)(102, 859)(103, 861)(104, 807)(105, 727)(106, 771)(107, 801)(108, 810)(109, 865)(110, 728)(111, 730)(112, 870)(113, 871)(114, 872)(115, 833)(116, 733)(117, 795)(118, 877)(119, 878)(120, 879)(121, 734)(122, 880)(123, 735)(124, 882)(125, 884)(126, 885)(127, 737)(128, 738)(129, 889)(130, 739)(131, 741)(132, 894)(133, 895)(134, 896)(135, 793)(136, 898)(137, 794)(138, 798)(139, 744)(140, 901)(141, 745)(142, 804)(143, 905)(144, 747)(145, 908)(146, 748)(147, 911)(148, 749)(149, 915)(150, 857)(151, 787)(152, 753)(153, 818)(154, 781)(155, 763)(156, 755)(157, 835)(158, 923)(159, 924)(160, 925)(161, 756)(162, 926)(163, 757)(164, 928)(165, 929)(166, 930)(167, 759)(168, 760)(169, 762)(170, 844)(171, 937)(172, 764)(173, 939)(174, 941)(175, 766)(176, 767)(177, 945)(178, 942)(179, 769)(180, 948)(181, 770)(182, 840)(183, 951)(184, 772)(185, 914)(186, 773)(187, 955)(188, 776)(189, 858)(190, 933)(191, 777)(192, 779)(193, 959)(194, 961)(195, 782)(196, 963)(197, 783)(198, 876)(199, 965)(200, 867)(201, 967)(202, 788)(203, 790)(204, 971)(205, 853)(206, 972)(207, 860)(208, 973)(209, 797)(210, 887)(211, 847)(212, 976)(213, 863)(214, 977)(215, 799)(216, 800)(217, 979)(218, 981)(219, 802)(220, 975)(221, 803)(222, 936)(223, 913)(224, 891)(225, 809)(226, 900)(227, 989)(228, 811)(229, 990)(230, 991)(231, 813)(232, 814)(233, 994)(234, 886)(235, 816)(236, 946)(237, 817)(238, 904)(239, 938)(240, 819)(241, 984)(242, 820)(243, 950)(244, 823)(245, 873)(246, 824)(247, 826)(248, 1002)(249, 828)(250, 830)(251, 909)(252, 1003)(253, 916)(254, 1004)(255, 837)(256, 932)(257, 1005)(258, 918)(259, 1006)(260, 839)(261, 993)(262, 841)(263, 843)(264, 997)(265, 962)(266, 846)(267, 883)(268, 903)(269, 999)(270, 974)(271, 848)(272, 850)(273, 947)(274, 922)(275, 851)(276, 875)(277, 1001)(278, 854)(279, 902)(280, 917)(281, 856)(282, 869)(283, 888)(284, 987)(285, 862)(286, 864)(287, 949)(288, 992)(289, 968)(290, 866)(291, 927)(292, 868)(293, 954)(294, 986)(295, 980)(296, 935)(297, 874)(298, 921)(299, 943)(300, 969)(301, 956)(302, 1008)(303, 881)(304, 983)(305, 957)(306, 958)(307, 978)(308, 931)(309, 995)(310, 890)(311, 892)(312, 893)(313, 920)(314, 944)(315, 897)(316, 899)(317, 982)(318, 940)(319, 953)(320, 1007)(321, 906)(322, 996)(323, 988)(324, 907)(325, 910)(326, 985)(327, 912)(328, 934)(329, 919)(330, 960)(331, 970)(332, 1000)(333, 964)(334, 952)(335, 998)(336, 966)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	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 ) }
Outer automorphisms :: reflexible
Dual of E19.2406
Graph:: bipartite
	v = 132 e = 672 f = 504
	degree seq :: [ 8^84, 14^48 ]

E19.2406 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 7})
Quotient :: dipole
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^7, (Y2 * Y3)^4, (Y3^-1 * Y1^-1)^7, (Y3^-2 * Y2 * Y3^2 * Y2 * Y3^-1)^2, (Y3 * Y2 * Y3^-1 * Y2 * Y3)^3, Y3 * Y2 * Y3^2 * Y2 * Y3^3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2, (Y3 * Y2 * Y3^-1 * Y2)^4 ]
Map:: polytopal
	R = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)(673, 1009, 674, 1010)(675, 1011, 679, 1015)(676, 1012, 681, 1017)(677, 1013, 683, 1019)(678, 1014, 685, 1021)(680, 1016, 689, 1025)(682, 1018, 693, 1029)(684, 1020, 697, 1033)(686, 1022, 701, 1037)(687, 1023, 700, 1036)(688, 1024, 704, 1040)(690, 1026, 708, 1044)(691, 1027, 709, 1045)(692, 1028, 695, 1031)(694, 1030, 714, 1050)(696, 1032, 716, 1052)(698, 1034, 720, 1056)(699, 1035, 721, 1057)(702, 1038, 726, 1062)(703, 1039, 727, 1063)(705, 1041, 731, 1067)(706, 1042, 730, 1066)(707, 1043, 734, 1070)(710, 1046, 740, 1076)(711, 1047, 742, 1078)(712, 1048, 744, 1080)(713, 1049, 738, 1074)(715, 1051, 749, 1085)(717, 1053, 753, 1089)(718, 1054, 752, 1088)(719, 1055, 756, 1092)(722, 1058, 762, 1098)(723, 1059, 764, 1100)(724, 1060, 766, 1102)(725, 1061, 760, 1096)(728, 1064, 773, 1109)(729, 1065, 774, 1110)(732, 1068, 779, 1115)(733, 1069, 780, 1116)(735, 1071, 784, 1120)(736, 1072, 783, 1119)(737, 1073, 787, 1123)(739, 1075, 790, 1126)(741, 1077, 794, 1130)(743, 1079, 797, 1133)(745, 1081, 800, 1136)(746, 1082, 802, 1138)(747, 1083, 804, 1140)(748, 1084, 798, 1134)(750, 1086, 809, 1145)(751, 1087, 810, 1146)(754, 1090, 815, 1151)(755, 1091, 816, 1152)(757, 1093, 820, 1156)(758, 1094, 819, 1155)(759, 1095, 823, 1159)(761, 1097, 826, 1162)(763, 1099, 830, 1166)(765, 1101, 833, 1169)(767, 1103, 836, 1172)(768, 1104, 838, 1174)(769, 1105, 840, 1176)(770, 1106, 834, 1170)(771, 1107, 832, 1168)(772, 1108, 844, 1180)(775, 1111, 850, 1186)(776, 1112, 852, 1188)(777, 1113, 854, 1190)(778, 1114, 848, 1184)(781, 1117, 861, 1197)(782, 1118, 862, 1198)(785, 1121, 824, 1160)(786, 1122, 867, 1203)(788, 1124, 821, 1157)(789, 1125, 871, 1207)(791, 1127, 875, 1211)(792, 1128, 874, 1210)(793, 1129, 878, 1214)(795, 1131, 880, 1216)(796, 1132, 807, 1143)(799, 1135, 886, 1222)(801, 1137, 841, 1177)(803, 1139, 891, 1227)(805, 1141, 837, 1173)(806, 1142, 894, 1230)(808, 1144, 897, 1233)(811, 1147, 903, 1239)(812, 1148, 905, 1241)(813, 1149, 863, 1199)(814, 1150, 901, 1237)(817, 1153, 913, 1249)(818, 1154, 914, 1250)(822, 1158, 918, 1254)(825, 1161, 922, 1258)(827, 1163, 926, 1262)(828, 1164, 925, 1261)(829, 1165, 887, 1223)(831, 1167, 930, 1266)(835, 1171, 936, 1272)(839, 1175, 940, 1276)(842, 1178, 943, 1279)(843, 1179, 911, 1247)(845, 1181, 946, 1282)(846, 1182, 899, 1235)(847, 1183, 947, 1283)(849, 1185, 902, 1238)(851, 1187, 951, 1287)(853, 1189, 935, 1271)(855, 1191, 953, 1289)(856, 1192, 938, 1274)(857, 1193, 954, 1290)(858, 1194, 952, 1288)(859, 1195, 896, 1232)(860, 1196, 928, 1264)(864, 1200, 923, 1259)(865, 1201, 962, 1298)(866, 1202, 958, 1294)(868, 1204, 963, 1299)(869, 1205, 964, 1300)(870, 1206, 948, 1284)(872, 1208, 915, 1251)(873, 1209, 924, 1260)(876, 1212, 968, 1304)(877, 1213, 912, 1248)(879, 1215, 969, 1305)(881, 1217, 972, 1308)(882, 1218, 939, 1275)(883, 1219, 973, 1309)(884, 1220, 934, 1270)(885, 1221, 906, 1242)(888, 1224, 977, 1313)(889, 1225, 908, 1244)(890, 1226, 932, 1268)(892, 1228, 980, 1316)(893, 1229, 974, 1310)(895, 1231, 982, 1318)(898, 1234, 984, 1320)(900, 1236, 981, 1317)(904, 1240, 970, 1306)(907, 1243, 988, 1324)(909, 1245, 989, 1325)(910, 1246, 960, 1296)(916, 1252, 994, 1330)(917, 1253, 991, 1327)(919, 1255, 995, 1331)(920, 1256, 957, 1293)(921, 1257, 985, 1321)(927, 1263, 955, 1291)(929, 1265, 978, 1314)(931, 1267, 999, 1335)(933, 1269, 965, 1301)(937, 1273, 1003, 1339)(941, 1277, 979, 1315)(942, 1278, 1000, 1336)(944, 1280, 1004, 1340)(945, 1281, 1002, 1338)(949, 1285, 987, 1323)(950, 1286, 986, 1322)(956, 1292, 990, 1326)(959, 1295, 998, 1334)(961, 1297, 993, 1329)(966, 1302, 997, 1333)(967, 1303, 996, 1332)(971, 1307, 992, 1328)(975, 1311, 1001, 1337)(976, 1312, 983, 1319)(1005, 1341, 1008, 1344)(1006, 1342, 1007, 1343)
	L = (1, 675)(2, 677)(3, 680)(4, 673)(5, 684)(6, 674)(7, 687)(8, 690)(9, 691)(10, 676)(11, 695)(12, 698)(13, 699)(14, 678)(15, 703)(16, 679)(17, 706)(18, 694)(19, 710)(20, 681)(21, 712)(22, 682)(23, 715)(24, 683)(25, 718)(26, 702)(27, 722)(28, 685)(29, 724)(30, 686)(31, 728)(32, 729)(33, 688)(34, 733)(35, 689)(36, 736)(37, 738)(38, 741)(39, 692)(40, 745)(41, 693)(42, 747)(43, 750)(44, 751)(45, 696)(46, 755)(47, 697)(48, 758)(49, 760)(50, 763)(51, 700)(52, 767)(53, 701)(54, 769)(55, 771)(56, 732)(57, 775)(58, 704)(59, 777)(60, 705)(61, 781)(62, 782)(63, 707)(64, 786)(65, 708)(66, 789)(67, 709)(68, 792)(69, 743)(70, 795)(71, 711)(72, 798)(73, 801)(74, 713)(75, 805)(76, 714)(77, 807)(78, 754)(79, 811)(80, 716)(81, 813)(82, 717)(83, 817)(84, 818)(85, 719)(86, 822)(87, 720)(88, 825)(89, 721)(90, 828)(91, 765)(92, 831)(93, 723)(94, 834)(95, 837)(96, 725)(97, 841)(98, 726)(99, 843)(100, 727)(101, 846)(102, 848)(103, 851)(104, 730)(105, 855)(106, 731)(107, 857)(108, 859)(109, 785)(110, 863)(111, 734)(112, 865)(113, 735)(114, 868)(115, 869)(116, 737)(117, 872)(118, 873)(119, 739)(120, 877)(121, 740)(122, 879)(123, 881)(124, 742)(125, 883)(126, 885)(127, 744)(128, 888)(129, 803)(130, 889)(131, 746)(132, 787)(133, 893)(134, 748)(135, 896)(136, 749)(137, 899)(138, 901)(139, 904)(140, 752)(141, 907)(142, 753)(143, 909)(144, 911)(145, 821)(146, 854)(147, 756)(148, 916)(149, 757)(150, 919)(151, 920)(152, 759)(153, 923)(154, 924)(155, 761)(156, 928)(157, 762)(158, 929)(159, 931)(160, 764)(161, 933)(162, 935)(163, 766)(164, 937)(165, 839)(166, 938)(167, 768)(168, 823)(169, 942)(170, 770)(171, 905)(172, 945)(173, 772)(174, 897)(175, 773)(176, 940)(177, 774)(178, 950)(179, 853)(180, 943)(181, 776)(182, 952)(183, 800)(184, 778)(185, 794)(186, 779)(187, 956)(188, 780)(189, 925)(190, 958)(191, 960)(192, 783)(193, 793)(194, 784)(195, 922)(196, 870)(197, 965)(198, 788)(199, 932)(200, 876)(201, 966)(202, 790)(203, 850)(204, 791)(205, 866)(206, 835)(207, 970)(208, 934)(209, 867)(210, 796)(211, 974)(212, 797)(213, 975)(214, 976)(215, 799)(216, 856)(217, 860)(218, 802)(219, 979)(220, 804)(221, 895)(222, 845)(223, 806)(224, 852)(225, 983)(226, 808)(227, 844)(228, 809)(229, 891)(230, 810)(231, 987)(232, 906)(233, 894)(234, 812)(235, 836)(236, 814)(237, 830)(238, 815)(239, 990)(240, 816)(241, 874)(242, 991)(243, 819)(244, 829)(245, 820)(246, 871)(247, 921)(248, 973)(249, 824)(250, 882)(251, 927)(252, 996)(253, 826)(254, 903)(255, 827)(256, 917)(257, 951)(258, 884)(259, 918)(260, 832)(261, 1000)(262, 833)(263, 1001)(264, 1002)(265, 908)(266, 912)(267, 838)(268, 980)(269, 840)(270, 944)(271, 898)(272, 842)(273, 962)(274, 967)(275, 941)(276, 847)(277, 849)(278, 972)(279, 968)(280, 993)(281, 971)(282, 947)(283, 858)(284, 890)(285, 861)(286, 977)(287, 862)(288, 961)(289, 864)(290, 985)(291, 986)(292, 913)(293, 989)(294, 1004)(295, 875)(296, 910)(297, 878)(298, 955)(299, 880)(300, 1005)(301, 954)(302, 988)(303, 978)(304, 1006)(305, 886)(306, 887)(307, 963)(308, 995)(309, 892)(310, 957)(311, 994)(312, 997)(313, 900)(314, 902)(315, 999)(316, 998)(317, 981)(318, 939)(319, 1003)(320, 914)(321, 915)(322, 948)(323, 949)(324, 982)(325, 926)(326, 930)(327, 1007)(328, 953)(329, 969)(330, 1008)(331, 936)(332, 964)(333, 946)(334, 959)(335, 984)(336, 992)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 8, 14 ), ( 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.2405
Graph:: simple bipartite
	v = 504 e = 672 f = 132
	degree seq :: [ 2^336, 4^168 ]

E19.2407 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 7})
Quotient :: dipole
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^7, (Y3 * Y1^-1)^4, (Y3 * Y1^2 * Y3 * Y1^-3)^2, (Y1 * Y3 * Y1^-2 * Y3)^3, (Y3 * Y1 * Y3 * Y1^-1)^4, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-3 * Y3 * Y1^-1 ]
Map:: polytopal
	R = (1, 337, 2, 338, 5, 341, 11, 347, 22, 358, 10, 346, 4, 340)(3, 339, 7, 343, 15, 351, 30, 366, 36, 372, 18, 354, 8, 344)(6, 342, 13, 349, 26, 362, 49, 385, 54, 390, 29, 365, 14, 350)(9, 345, 19, 355, 37, 373, 66, 402, 71, 407, 39, 375, 20, 356)(12, 348, 24, 360, 45, 381, 81, 417, 86, 422, 48, 384, 25, 361)(16, 352, 32, 368, 58, 394, 103, 439, 107, 443, 60, 396, 33, 369)(17, 353, 34, 370, 61, 397, 108, 444, 91, 427, 51, 387, 27, 363)(21, 357, 40, 376, 72, 408, 126, 462, 131, 467, 74, 410, 41, 377)(23, 359, 43, 379, 77, 413, 135, 471, 140, 476, 80, 416, 44, 380)(28, 364, 52, 388, 92, 428, 159, 495, 145, 481, 83, 419, 46, 382)(31, 367, 56, 392, 99, 435, 171, 507, 139, 475, 102, 438, 57, 393)(35, 371, 63, 399, 112, 448, 190, 526, 195, 531, 114, 450, 64, 400)(38, 374, 68, 404, 120, 456, 203, 539, 207, 543, 122, 458, 69, 405)(42, 378, 75, 411, 132, 468, 220, 556, 223, 559, 134, 470, 76, 412)(47, 383, 84, 420, 146, 482, 238, 574, 227, 563, 137, 473, 78, 414)(50, 386, 88, 424, 153, 489, 246, 582, 222, 558, 156, 492, 89, 425)(53, 389, 94, 430, 163, 499, 127, 463, 213, 549, 165, 501, 95, 431)(55, 391, 97, 433, 168, 504, 265, 601, 242, 578, 150, 486, 98, 434)(59, 395, 105, 441, 179, 515, 277, 613, 271, 607, 173, 509, 100, 436)(62, 398, 110, 446, 187, 523, 226, 562, 287, 623, 189, 525, 111, 447)(65, 401, 115, 451, 196, 532, 291, 627, 293, 629, 198, 534, 116, 452)(67, 403, 118, 454, 200, 536, 149, 485, 85, 421, 148, 484, 119, 455)(70, 406, 123, 459, 208, 544, 136, 472, 225, 561, 210, 546, 124, 460)(73, 409, 128, 464, 214, 550, 304, 640, 306, 642, 216, 552, 129, 465)(79, 415, 138, 474, 228, 564, 313, 649, 309, 645, 221, 557, 133, 469)(82, 418, 142, 478, 233, 569, 218, 554, 130, 466, 217, 553, 143, 479)(87, 423, 151, 487, 243, 579, 321, 657, 315, 651, 230, 566, 152, 488)(90, 426, 157, 493, 251, 587, 266, 602, 204, 540, 248, 584, 154, 490)(93, 429, 161, 497, 257, 593, 308, 644, 327, 663, 259, 595, 162, 498)(96, 432, 166, 502, 117, 453, 199, 535, 294, 630, 264, 600, 167, 503)(101, 437, 174, 510, 164, 500, 261, 597, 312, 648, 267, 603, 169, 505)(104, 440, 177, 513, 234, 570, 144, 480, 236, 572, 276, 612, 178, 514)(106, 442, 181, 517, 280, 616, 191, 527, 288, 624, 281, 617, 182, 518)(109, 445, 185, 521, 235, 571, 274, 610, 175, 511, 273, 609, 186, 522)(113, 449, 192, 528, 237, 573, 317, 653, 295, 631, 202, 538, 193, 529)(121, 457, 205, 541, 296, 632, 314, 650, 229, 565, 269, 605, 201, 537)(125, 461, 211, 547, 301, 637, 331, 667, 318, 654, 252, 588, 212, 548)(141, 477, 231, 567, 188, 524, 285, 621, 332, 668, 310, 646, 232, 568)(147, 483, 239, 575, 303, 639, 215, 551, 305, 641, 319, 655, 240, 576)(155, 491, 249, 585, 241, 577, 320, 656, 275, 611, 176, 512, 244, 580)(158, 494, 253, 589, 325, 661, 260, 596, 300, 636, 209, 545, 254, 590)(160, 496, 256, 592, 299, 635, 323, 659, 250, 586, 297, 633, 206, 542)(170, 506, 268, 604, 302, 638, 263, 599, 245, 581, 292, 628, 197, 533)(172, 508, 247, 583, 316, 652, 290, 626, 194, 530, 262, 598, 270, 606)(180, 516, 279, 615, 219, 555, 307, 643, 224, 560, 311, 647, 258, 594)(183, 519, 282, 618, 184, 520, 284, 620, 255, 591, 298, 634, 283, 619)(272, 608, 328, 664, 334, 670, 289, 625, 322, 658, 336, 672, 329, 665)(278, 614, 326, 662, 324, 660, 335, 671, 330, 666, 333, 669, 286, 622)(673, 1009)(674, 1010)(675, 1011)(676, 1012)(677, 1013)(678, 1014)(679, 1015)(680, 1016)(681, 1017)(682, 1018)(683, 1019)(684, 1020)(685, 1021)(686, 1022)(687, 1023)(688, 1024)(689, 1025)(690, 1026)(691, 1027)(692, 1028)(693, 1029)(694, 1030)(695, 1031)(696, 1032)(697, 1033)(698, 1034)(699, 1035)(700, 1036)(701, 1037)(702, 1038)(703, 1039)(704, 1040)(705, 1041)(706, 1042)(707, 1043)(708, 1044)(709, 1045)(710, 1046)(711, 1047)(712, 1048)(713, 1049)(714, 1050)(715, 1051)(716, 1052)(717, 1053)(718, 1054)(719, 1055)(720, 1056)(721, 1057)(722, 1058)(723, 1059)(724, 1060)(725, 1061)(726, 1062)(727, 1063)(728, 1064)(729, 1065)(730, 1066)(731, 1067)(732, 1068)(733, 1069)(734, 1070)(735, 1071)(736, 1072)(737, 1073)(738, 1074)(739, 1075)(740, 1076)(741, 1077)(742, 1078)(743, 1079)(744, 1080)(745, 1081)(746, 1082)(747, 1083)(748, 1084)(749, 1085)(750, 1086)(751, 1087)(752, 1088)(753, 1089)(754, 1090)(755, 1091)(756, 1092)(757, 1093)(758, 1094)(759, 1095)(760, 1096)(761, 1097)(762, 1098)(763, 1099)(764, 1100)(765, 1101)(766, 1102)(767, 1103)(768, 1104)(769, 1105)(770, 1106)(771, 1107)(772, 1108)(773, 1109)(774, 1110)(775, 1111)(776, 1112)(777, 1113)(778, 1114)(779, 1115)(780, 1116)(781, 1117)(782, 1118)(783, 1119)(784, 1120)(785, 1121)(786, 1122)(787, 1123)(788, 1124)(789, 1125)(790, 1126)(791, 1127)(792, 1128)(793, 1129)(794, 1130)(795, 1131)(796, 1132)(797, 1133)(798, 1134)(799, 1135)(800, 1136)(801, 1137)(802, 1138)(803, 1139)(804, 1140)(805, 1141)(806, 1142)(807, 1143)(808, 1144)(809, 1145)(810, 1146)(811, 1147)(812, 1148)(813, 1149)(814, 1150)(815, 1151)(816, 1152)(817, 1153)(818, 1154)(819, 1155)(820, 1156)(821, 1157)(822, 1158)(823, 1159)(824, 1160)(825, 1161)(826, 1162)(827, 1163)(828, 1164)(829, 1165)(830, 1166)(831, 1167)(832, 1168)(833, 1169)(834, 1170)(835, 1171)(836, 1172)(837, 1173)(838, 1174)(839, 1175)(840, 1176)(841, 1177)(842, 1178)(843, 1179)(844, 1180)(845, 1181)(846, 1182)(847, 1183)(848, 1184)(849, 1185)(850, 1186)(851, 1187)(852, 1188)(853, 1189)(854, 1190)(855, 1191)(856, 1192)(857, 1193)(858, 1194)(859, 1195)(860, 1196)(861, 1197)(862, 1198)(863, 1199)(864, 1200)(865, 1201)(866, 1202)(867, 1203)(868, 1204)(869, 1205)(870, 1206)(871, 1207)(872, 1208)(873, 1209)(874, 1210)(875, 1211)(876, 1212)(877, 1213)(878, 1214)(879, 1215)(880, 1216)(881, 1217)(882, 1218)(883, 1219)(884, 1220)(885, 1221)(886, 1222)(887, 1223)(888, 1224)(889, 1225)(890, 1226)(891, 1227)(892, 1228)(893, 1229)(894, 1230)(895, 1231)(896, 1232)(897, 1233)(898, 1234)(899, 1235)(900, 1236)(901, 1237)(902, 1238)(903, 1239)(904, 1240)(905, 1241)(906, 1242)(907, 1243)(908, 1244)(909, 1245)(910, 1246)(911, 1247)(912, 1248)(913, 1249)(914, 1250)(915, 1251)(916, 1252)(917, 1253)(918, 1254)(919, 1255)(920, 1256)(921, 1257)(922, 1258)(923, 1259)(924, 1260)(925, 1261)(926, 1262)(927, 1263)(928, 1264)(929, 1265)(930, 1266)(931, 1267)(932, 1268)(933, 1269)(934, 1270)(935, 1271)(936, 1272)(937, 1273)(938, 1274)(939, 1275)(940, 1276)(941, 1277)(942, 1278)(943, 1279)(944, 1280)(945, 1281)(946, 1282)(947, 1283)(948, 1284)(949, 1285)(950, 1286)(951, 1287)(952, 1288)(953, 1289)(954, 1290)(955, 1291)(956, 1292)(957, 1293)(958, 1294)(959, 1295)(960, 1296)(961, 1297)(962, 1298)(963, 1299)(964, 1300)(965, 1301)(966, 1302)(967, 1303)(968, 1304)(969, 1305)(970, 1306)(971, 1307)(972, 1308)(973, 1309)(974, 1310)(975, 1311)(976, 1312)(977, 1313)(978, 1314)(979, 1315)(980, 1316)(981, 1317)(982, 1318)(983, 1319)(984, 1320)(985, 1321)(986, 1322)(987, 1323)(988, 1324)(989, 1325)(990, 1326)(991, 1327)(992, 1328)(993, 1329)(994, 1330)(995, 1331)(996, 1332)(997, 1333)(998, 1334)(999, 1335)(1000, 1336)(1001, 1337)(1002, 1338)(1003, 1339)(1004, 1340)(1005, 1341)(1006, 1342)(1007, 1343)(1008, 1344)
	L = (1, 675)(2, 678)(3, 673)(4, 681)(5, 684)(6, 674)(7, 688)(8, 689)(9, 676)(10, 693)(11, 695)(12, 677)(13, 699)(14, 700)(15, 703)(16, 679)(17, 680)(18, 707)(19, 710)(20, 704)(21, 682)(22, 714)(23, 683)(24, 718)(25, 719)(26, 722)(27, 685)(28, 686)(29, 725)(30, 727)(31, 687)(32, 692)(33, 731)(34, 734)(35, 690)(36, 737)(37, 739)(38, 691)(39, 742)(40, 745)(41, 740)(42, 694)(43, 750)(44, 751)(45, 754)(46, 696)(47, 697)(48, 757)(49, 759)(50, 698)(51, 762)(52, 765)(53, 701)(54, 768)(55, 702)(56, 772)(57, 773)(58, 776)(59, 705)(60, 778)(61, 781)(62, 706)(63, 785)(64, 782)(65, 708)(66, 789)(67, 709)(68, 713)(69, 793)(70, 711)(71, 797)(72, 799)(73, 712)(74, 802)(75, 805)(76, 800)(77, 808)(78, 715)(79, 716)(80, 811)(81, 813)(82, 717)(83, 816)(84, 819)(85, 720)(86, 822)(87, 721)(88, 826)(89, 827)(90, 723)(91, 830)(92, 832)(93, 724)(94, 836)(95, 833)(96, 726)(97, 841)(98, 842)(99, 844)(100, 728)(101, 729)(102, 847)(103, 848)(104, 730)(105, 852)(106, 732)(107, 855)(108, 856)(109, 733)(110, 736)(111, 860)(112, 863)(113, 735)(114, 866)(115, 869)(116, 864)(117, 738)(118, 873)(119, 874)(120, 876)(121, 741)(122, 878)(123, 881)(124, 849)(125, 743)(126, 868)(127, 744)(128, 748)(129, 887)(130, 746)(131, 891)(132, 862)(133, 747)(134, 894)(135, 896)(136, 749)(137, 898)(138, 901)(139, 752)(140, 902)(141, 753)(142, 906)(143, 907)(144, 755)(145, 909)(146, 853)(147, 756)(148, 913)(149, 911)(150, 758)(151, 916)(152, 917)(153, 919)(154, 760)(155, 761)(156, 922)(157, 924)(158, 763)(159, 927)(160, 764)(161, 767)(162, 930)(163, 932)(164, 766)(165, 934)(166, 935)(167, 933)(168, 938)(169, 769)(170, 770)(171, 941)(172, 771)(173, 918)(174, 944)(175, 774)(176, 775)(177, 796)(178, 915)(179, 950)(180, 777)(181, 818)(182, 951)(183, 779)(184, 780)(185, 903)(186, 888)(187, 897)(188, 783)(189, 958)(190, 804)(191, 784)(192, 788)(193, 961)(194, 786)(195, 929)(196, 798)(197, 787)(198, 908)(199, 967)(200, 942)(201, 790)(202, 791)(203, 939)(204, 792)(205, 957)(206, 794)(207, 970)(208, 971)(209, 795)(210, 962)(211, 974)(212, 926)(213, 975)(214, 943)(215, 801)(216, 858)(217, 953)(218, 920)(219, 803)(220, 973)(221, 980)(222, 806)(223, 982)(224, 807)(225, 859)(226, 809)(227, 984)(228, 925)(229, 810)(230, 812)(231, 857)(232, 940)(233, 988)(234, 814)(235, 815)(236, 870)(237, 817)(238, 955)(239, 821)(240, 990)(241, 820)(242, 992)(243, 850)(244, 823)(245, 824)(246, 845)(247, 825)(248, 890)(249, 994)(250, 828)(251, 996)(252, 829)(253, 900)(254, 884)(255, 831)(256, 983)(257, 867)(258, 834)(259, 998)(260, 835)(261, 839)(262, 837)(263, 838)(264, 959)(265, 999)(266, 840)(267, 875)(268, 904)(269, 843)(270, 872)(271, 886)(272, 846)(273, 987)(274, 1000)(275, 981)(276, 1002)(277, 966)(278, 851)(279, 854)(280, 1003)(281, 889)(282, 985)(283, 910)(284, 978)(285, 877)(286, 861)(287, 936)(288, 1006)(289, 865)(290, 882)(291, 997)(292, 979)(293, 986)(294, 949)(295, 871)(296, 1005)(297, 1004)(298, 879)(299, 880)(300, 1001)(301, 892)(302, 883)(303, 885)(304, 989)(305, 993)(306, 956)(307, 964)(308, 893)(309, 947)(310, 895)(311, 928)(312, 899)(313, 954)(314, 965)(315, 945)(316, 905)(317, 976)(318, 912)(319, 1007)(320, 914)(321, 977)(322, 921)(323, 1008)(324, 923)(325, 963)(326, 931)(327, 937)(328, 946)(329, 972)(330, 948)(331, 952)(332, 969)(333, 968)(334, 960)(335, 991)(336, 995)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2404
Graph:: simple bipartite
	v = 384 e = 672 f = 252
	degree seq :: [ 2^336, 14^48 ]

E19.2408 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 7})
Quotient :: dipole
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^7, (Y1 * Y2)^4, (Y3 * Y2^-1)^4, (R * Y2^3 * Y1)^2, (Y1 * Y2^2 * Y1 * Y2^-3)^2, (Y2 * Y1 * Y2^-1 * Y1 * Y2)^3, Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^3 * Y1, Y2 * Y1 * Y2^3 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-3 * Y1 * Y2^-1 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^4 ]
Map::
	R = (1, 337, 2, 338)(3, 339, 7, 343)(4, 340, 9, 345)(5, 341, 11, 347)(6, 342, 13, 349)(8, 344, 17, 353)(10, 346, 21, 357)(12, 348, 25, 361)(14, 350, 29, 365)(15, 351, 28, 364)(16, 352, 32, 368)(18, 354, 36, 372)(19, 355, 37, 373)(20, 356, 23, 359)(22, 358, 42, 378)(24, 360, 44, 380)(26, 362, 48, 384)(27, 363, 49, 385)(30, 366, 54, 390)(31, 367, 55, 391)(33, 369, 59, 395)(34, 370, 58, 394)(35, 371, 62, 398)(38, 374, 68, 404)(39, 375, 70, 406)(40, 376, 72, 408)(41, 377, 66, 402)(43, 379, 77, 413)(45, 381, 81, 417)(46, 382, 80, 416)(47, 383, 84, 420)(50, 386, 90, 426)(51, 387, 92, 428)(52, 388, 94, 430)(53, 389, 88, 424)(56, 392, 101, 437)(57, 393, 102, 438)(60, 396, 107, 443)(61, 397, 108, 444)(63, 399, 112, 448)(64, 400, 111, 447)(65, 401, 115, 451)(67, 403, 118, 454)(69, 405, 122, 458)(71, 407, 125, 461)(73, 409, 128, 464)(74, 410, 130, 466)(75, 411, 132, 468)(76, 412, 126, 462)(78, 414, 137, 473)(79, 415, 138, 474)(82, 418, 143, 479)(83, 419, 144, 480)(85, 421, 148, 484)(86, 422, 147, 483)(87, 423, 151, 487)(89, 425, 154, 490)(91, 427, 158, 494)(93, 429, 161, 497)(95, 431, 164, 500)(96, 432, 166, 502)(97, 433, 168, 504)(98, 434, 162, 498)(99, 435, 160, 496)(100, 436, 172, 508)(103, 439, 178, 514)(104, 440, 180, 516)(105, 441, 182, 518)(106, 442, 176, 512)(109, 445, 189, 525)(110, 446, 190, 526)(113, 449, 152, 488)(114, 450, 195, 531)(116, 452, 149, 485)(117, 453, 199, 535)(119, 455, 203, 539)(120, 456, 202, 538)(121, 457, 206, 542)(123, 459, 208, 544)(124, 460, 135, 471)(127, 463, 214, 550)(129, 465, 169, 505)(131, 467, 219, 555)(133, 469, 165, 501)(134, 470, 222, 558)(136, 472, 225, 561)(139, 475, 231, 567)(140, 476, 233, 569)(141, 477, 191, 527)(142, 478, 229, 565)(145, 481, 241, 577)(146, 482, 242, 578)(150, 486, 246, 582)(153, 489, 250, 586)(155, 491, 254, 590)(156, 492, 253, 589)(157, 493, 215, 551)(159, 495, 258, 594)(163, 499, 264, 600)(167, 503, 268, 604)(170, 506, 271, 607)(171, 507, 239, 575)(173, 509, 274, 610)(174, 510, 227, 563)(175, 511, 275, 611)(177, 513, 230, 566)(179, 515, 279, 615)(181, 517, 263, 599)(183, 519, 281, 617)(184, 520, 266, 602)(185, 521, 282, 618)(186, 522, 280, 616)(187, 523, 224, 560)(188, 524, 256, 592)(192, 528, 251, 587)(193, 529, 290, 626)(194, 530, 286, 622)(196, 532, 291, 627)(197, 533, 292, 628)(198, 534, 276, 612)(200, 536, 243, 579)(201, 537, 252, 588)(204, 540, 296, 632)(205, 541, 240, 576)(207, 543, 297, 633)(209, 545, 300, 636)(210, 546, 267, 603)(211, 547, 301, 637)(212, 548, 262, 598)(213, 549, 234, 570)(216, 552, 305, 641)(217, 553, 236, 572)(218, 554, 260, 596)(220, 556, 308, 644)(221, 557, 302, 638)(223, 559, 310, 646)(226, 562, 312, 648)(228, 564, 309, 645)(232, 568, 298, 634)(235, 571, 316, 652)(237, 573, 317, 653)(238, 574, 288, 624)(244, 580, 322, 658)(245, 581, 319, 655)(247, 583, 323, 659)(248, 584, 285, 621)(249, 585, 313, 649)(255, 591, 283, 619)(257, 593, 306, 642)(259, 595, 327, 663)(261, 597, 293, 629)(265, 601, 331, 667)(269, 605, 307, 643)(270, 606, 328, 664)(272, 608, 332, 668)(273, 609, 330, 666)(277, 613, 315, 651)(278, 614, 314, 650)(284, 620, 318, 654)(287, 623, 326, 662)(289, 625, 321, 657)(294, 630, 325, 661)(295, 631, 324, 660)(299, 635, 320, 656)(303, 639, 329, 665)(304, 640, 311, 647)(333, 669, 336, 672)(334, 670, 335, 671)(673, 1009, 675, 1011, 680, 1016, 690, 1026, 694, 1030, 682, 1018, 676, 1012)(674, 1010, 677, 1013, 684, 1020, 698, 1034, 702, 1038, 686, 1022, 678, 1014)(679, 1015, 687, 1023, 703, 1039, 728, 1064, 732, 1068, 705, 1041, 688, 1024)(681, 1017, 691, 1027, 710, 1046, 741, 1077, 743, 1079, 711, 1047, 692, 1028)(683, 1019, 695, 1031, 715, 1051, 750, 1086, 754, 1090, 717, 1053, 696, 1032)(685, 1021, 699, 1035, 722, 1058, 763, 1099, 765, 1101, 723, 1059, 700, 1036)(689, 1025, 706, 1042, 733, 1069, 781, 1117, 785, 1121, 735, 1071, 707, 1043)(693, 1029, 712, 1048, 745, 1081, 801, 1137, 803, 1139, 746, 1082, 713, 1049)(697, 1033, 718, 1054, 755, 1091, 817, 1153, 821, 1157, 757, 1093, 719, 1055)(701, 1037, 724, 1060, 767, 1103, 837, 1173, 839, 1175, 768, 1104, 725, 1061)(704, 1040, 729, 1065, 775, 1111, 851, 1187, 853, 1189, 776, 1112, 730, 1066)(708, 1044, 736, 1072, 786, 1122, 868, 1204, 870, 1206, 788, 1124, 737, 1073)(709, 1045, 738, 1074, 789, 1125, 872, 1208, 876, 1212, 791, 1127, 739, 1075)(714, 1050, 747, 1083, 805, 1141, 893, 1229, 895, 1231, 806, 1142, 748, 1084)(716, 1052, 751, 1087, 811, 1147, 904, 1240, 906, 1242, 812, 1148, 752, 1088)(720, 1056, 758, 1094, 822, 1158, 919, 1255, 921, 1257, 824, 1160, 759, 1095)(721, 1057, 760, 1096, 825, 1161, 923, 1259, 927, 1263, 827, 1163, 761, 1097)(726, 1062, 769, 1105, 841, 1177, 942, 1278, 944, 1280, 842, 1178, 770, 1106)(727, 1063, 771, 1107, 843, 1179, 905, 1241, 894, 1230, 845, 1181, 772, 1108)(731, 1067, 777, 1113, 855, 1191, 800, 1136, 888, 1224, 856, 1192, 778, 1114)(734, 1070, 782, 1118, 863, 1199, 960, 1296, 961, 1297, 864, 1200, 783, 1119)(740, 1076, 792, 1128, 877, 1213, 866, 1202, 784, 1120, 865, 1201, 793, 1129)(742, 1078, 795, 1131, 881, 1217, 867, 1203, 922, 1258, 882, 1218, 796, 1132)(744, 1080, 798, 1134, 885, 1221, 975, 1311, 978, 1314, 887, 1223, 799, 1135)(749, 1085, 807, 1143, 896, 1232, 852, 1188, 943, 1279, 898, 1234, 808, 1144)(753, 1089, 813, 1149, 907, 1243, 836, 1172, 937, 1273, 908, 1244, 814, 1150)(756, 1092, 818, 1154, 854, 1190, 952, 1288, 993, 1329, 915, 1251, 819, 1155)(762, 1098, 828, 1164, 928, 1264, 917, 1253, 820, 1156, 916, 1252, 829, 1165)(764, 1100, 831, 1167, 931, 1267, 918, 1254, 871, 1207, 932, 1268, 832, 1168)(766, 1102, 834, 1170, 935, 1271, 1001, 1337, 969, 1305, 878, 1214, 835, 1171)(773, 1109, 846, 1182, 897, 1233, 983, 1319, 994, 1330, 948, 1284, 847, 1183)(774, 1110, 848, 1184, 940, 1276, 980, 1316, 995, 1331, 949, 1285, 849, 1185)(779, 1115, 857, 1193, 794, 1130, 879, 1215, 970, 1306, 955, 1291, 858, 1194)(780, 1116, 859, 1195, 956, 1292, 890, 1226, 802, 1138, 889, 1225, 860, 1196)(787, 1123, 869, 1205, 965, 1301, 989, 1325, 981, 1317, 892, 1228, 804, 1140)(790, 1126, 873, 1209, 966, 1302, 1004, 1340, 964, 1300, 913, 1249, 874, 1210)(797, 1133, 883, 1219, 974, 1310, 988, 1324, 998, 1334, 930, 1266, 884, 1220)(809, 1145, 899, 1235, 844, 1180, 945, 1281, 962, 1298, 985, 1321, 900, 1236)(810, 1146, 901, 1237, 891, 1227, 979, 1315, 963, 1299, 986, 1322, 902, 1238)(815, 1151, 909, 1245, 830, 1166, 929, 1265, 951, 1287, 968, 1304, 910, 1246)(816, 1152, 911, 1247, 990, 1326, 939, 1275, 838, 1174, 938, 1274, 912, 1248)(823, 1159, 920, 1256, 973, 1309, 954, 1290, 947, 1283, 941, 1277, 840, 1176)(826, 1162, 924, 1260, 996, 1332, 982, 1318, 957, 1293, 861, 1197, 925, 1261)(833, 1169, 933, 1269, 1000, 1336, 953, 1289, 971, 1307, 880, 1216, 934, 1270)(850, 1186, 950, 1286, 972, 1308, 1005, 1341, 946, 1282, 967, 1303, 875, 1211)(862, 1198, 958, 1294, 977, 1313, 886, 1222, 976, 1312, 1006, 1342, 959, 1295)(903, 1239, 987, 1323, 999, 1335, 1007, 1343, 984, 1320, 997, 1333, 926, 1262)(914, 1250, 991, 1327, 1003, 1339, 936, 1272, 1002, 1338, 1008, 1344, 992, 1328)
	L = (1, 674)(2, 673)(3, 679)(4, 681)(5, 683)(6, 685)(7, 675)(8, 689)(9, 676)(10, 693)(11, 677)(12, 697)(13, 678)(14, 701)(15, 700)(16, 704)(17, 680)(18, 708)(19, 709)(20, 695)(21, 682)(22, 714)(23, 692)(24, 716)(25, 684)(26, 720)(27, 721)(28, 687)(29, 686)(30, 726)(31, 727)(32, 688)(33, 731)(34, 730)(35, 734)(36, 690)(37, 691)(38, 740)(39, 742)(40, 744)(41, 738)(42, 694)(43, 749)(44, 696)(45, 753)(46, 752)(47, 756)(48, 698)(49, 699)(50, 762)(51, 764)(52, 766)(53, 760)(54, 702)(55, 703)(56, 773)(57, 774)(58, 706)(59, 705)(60, 779)(61, 780)(62, 707)(63, 784)(64, 783)(65, 787)(66, 713)(67, 790)(68, 710)(69, 794)(70, 711)(71, 797)(72, 712)(73, 800)(74, 802)(75, 804)(76, 798)(77, 715)(78, 809)(79, 810)(80, 718)(81, 717)(82, 815)(83, 816)(84, 719)(85, 820)(86, 819)(87, 823)(88, 725)(89, 826)(90, 722)(91, 830)(92, 723)(93, 833)(94, 724)(95, 836)(96, 838)(97, 840)(98, 834)(99, 832)(100, 844)(101, 728)(102, 729)(103, 850)(104, 852)(105, 854)(106, 848)(107, 732)(108, 733)(109, 861)(110, 862)(111, 736)(112, 735)(113, 824)(114, 867)(115, 737)(116, 821)(117, 871)(118, 739)(119, 875)(120, 874)(121, 878)(122, 741)(123, 880)(124, 807)(125, 743)(126, 748)(127, 886)(128, 745)(129, 841)(130, 746)(131, 891)(132, 747)(133, 837)(134, 894)(135, 796)(136, 897)(137, 750)(138, 751)(139, 903)(140, 905)(141, 863)(142, 901)(143, 754)(144, 755)(145, 913)(146, 914)(147, 758)(148, 757)(149, 788)(150, 918)(151, 759)(152, 785)(153, 922)(154, 761)(155, 926)(156, 925)(157, 887)(158, 763)(159, 930)(160, 771)(161, 765)(162, 770)(163, 936)(164, 767)(165, 805)(166, 768)(167, 940)(168, 769)(169, 801)(170, 943)(171, 911)(172, 772)(173, 946)(174, 899)(175, 947)(176, 778)(177, 902)(178, 775)(179, 951)(180, 776)(181, 935)(182, 777)(183, 953)(184, 938)(185, 954)(186, 952)(187, 896)(188, 928)(189, 781)(190, 782)(191, 813)(192, 923)(193, 962)(194, 958)(195, 786)(196, 963)(197, 964)(198, 948)(199, 789)(200, 915)(201, 924)(202, 792)(203, 791)(204, 968)(205, 912)(206, 793)(207, 969)(208, 795)(209, 972)(210, 939)(211, 973)(212, 934)(213, 906)(214, 799)(215, 829)(216, 977)(217, 908)(218, 932)(219, 803)(220, 980)(221, 974)(222, 806)(223, 982)(224, 859)(225, 808)(226, 984)(227, 846)(228, 981)(229, 814)(230, 849)(231, 811)(232, 970)(233, 812)(234, 885)(235, 988)(236, 889)(237, 989)(238, 960)(239, 843)(240, 877)(241, 817)(242, 818)(243, 872)(244, 994)(245, 991)(246, 822)(247, 995)(248, 957)(249, 985)(250, 825)(251, 864)(252, 873)(253, 828)(254, 827)(255, 955)(256, 860)(257, 978)(258, 831)(259, 999)(260, 890)(261, 965)(262, 884)(263, 853)(264, 835)(265, 1003)(266, 856)(267, 882)(268, 839)(269, 979)(270, 1000)(271, 842)(272, 1004)(273, 1002)(274, 845)(275, 847)(276, 870)(277, 987)(278, 986)(279, 851)(280, 858)(281, 855)(282, 857)(283, 927)(284, 990)(285, 920)(286, 866)(287, 998)(288, 910)(289, 993)(290, 865)(291, 868)(292, 869)(293, 933)(294, 997)(295, 996)(296, 876)(297, 879)(298, 904)(299, 992)(300, 881)(301, 883)(302, 893)(303, 1001)(304, 983)(305, 888)(306, 929)(307, 941)(308, 892)(309, 900)(310, 895)(311, 976)(312, 898)(313, 921)(314, 950)(315, 949)(316, 907)(317, 909)(318, 956)(319, 917)(320, 971)(321, 961)(322, 916)(323, 919)(324, 967)(325, 966)(326, 959)(327, 931)(328, 942)(329, 975)(330, 945)(331, 937)(332, 944)(333, 1008)(334, 1007)(335, 1006)(336, 1005)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2409
Graph:: bipartite
	v = 216 e = 672 f = 420
	degree seq :: [ 4^168, 14^48 ]

E19.2409 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 7})
Quotient :: dipole
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3^7, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, (Y3 * Y1^-1)^6, (Y3^3 * Y1^-1 * Y3 * Y1^-1)^2, (Y3 * Y2^-1)^7, Y1^-2 * Y3^3 * Y1^-2 * Y3^2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^2, Y1 * Y3^-2 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3^-2 ]
Map:: polytopal
	R = (1, 337, 2, 338, 6, 342, 4, 340)(3, 339, 9, 345, 21, 357, 11, 347)(5, 341, 13, 349, 18, 354, 7, 343)(8, 344, 19, 355, 34, 370, 15, 351)(10, 346, 23, 359, 49, 385, 25, 361)(12, 348, 16, 352, 35, 371, 28, 364)(14, 350, 31, 367, 61, 397, 29, 365)(17, 353, 37, 373, 75, 411, 39, 375)(20, 356, 43, 379, 83, 419, 41, 377)(22, 358, 47, 383, 90, 426, 45, 381)(24, 360, 51, 387, 100, 436, 52, 388)(26, 362, 46, 382, 91, 427, 55, 391)(27, 363, 56, 392, 109, 445, 58, 394)(30, 366, 62, 398, 81, 417, 40, 376)(32, 368, 66, 402, 125, 461, 64, 400)(33, 369, 67, 403, 129, 465, 69, 405)(36, 372, 73, 409, 137, 473, 71, 407)(38, 374, 77, 413, 147, 483, 78, 414)(42, 378, 84, 420, 135, 471, 70, 406)(44, 380, 88, 424, 165, 501, 86, 422)(48, 384, 95, 431, 174, 510, 93, 429)(50, 386, 98, 434, 178, 514, 96, 432)(53, 389, 97, 433, 134, 470, 104, 440)(54, 390, 105, 441, 133, 469, 107, 443)(57, 393, 111, 447, 196, 532, 112, 448)(59, 395, 72, 408, 138, 474, 115, 451)(60, 396, 116, 452, 201, 537, 118, 454)(63, 399, 122, 458, 141, 477, 120, 456)(65, 401, 126, 462, 139, 475, 119, 455)(68, 404, 131, 467, 220, 556, 132, 468)(74, 410, 142, 478, 230, 566, 140, 476)(76, 412, 145, 481, 234, 570, 143, 479)(79, 415, 144, 480, 114, 450, 151, 487)(80, 416, 152, 488, 113, 449, 154, 490)(82, 418, 156, 492, 248, 584, 158, 494)(85, 421, 162, 498, 94, 430, 160, 496)(87, 423, 166, 502, 92, 428, 159, 495)(89, 425, 169, 505, 261, 597, 171, 507)(99, 435, 182, 518, 277, 613, 180, 516)(101, 437, 185, 521, 280, 616, 183, 519)(102, 438, 184, 520, 254, 590, 163, 499)(103, 439, 188, 524, 265, 601, 190, 526)(106, 442, 192, 528, 257, 593, 168, 504)(108, 444, 155, 491, 121, 457, 161, 497)(110, 446, 194, 530, 288, 624, 193, 529)(117, 453, 203, 539, 298, 634, 204, 540)(123, 459, 198, 534, 292, 628, 208, 544)(124, 460, 209, 545, 302, 638, 211, 547)(127, 463, 214, 550, 237, 573, 213, 549)(128, 464, 200, 536, 235, 571, 212, 548)(130, 466, 218, 554, 308, 644, 217, 553)(136, 472, 225, 561, 314, 650, 227, 563)(146, 482, 238, 574, 273, 609, 236, 572)(148, 484, 241, 577, 326, 662, 239, 575)(149, 485, 240, 576, 206, 542, 228, 564)(150, 486, 244, 580, 205, 541, 245, 581)(153, 489, 247, 583, 319, 655, 232, 568)(157, 493, 250, 586, 284, 620, 187, 523)(164, 500, 255, 591, 305, 641, 215, 551)(167, 503, 259, 595, 310, 646, 258, 594)(170, 506, 263, 599, 297, 633, 264, 600)(172, 508, 222, 558, 311, 647, 252, 588)(173, 509, 266, 602, 335, 671, 268, 604)(175, 511, 270, 606, 181, 517, 253, 589)(176, 512, 224, 560, 179, 515, 269, 605)(177, 513, 272, 608, 315, 651, 274, 610)(186, 522, 282, 618, 312, 648, 242, 578)(189, 525, 285, 621, 291, 627, 197, 533)(191, 527, 251, 587, 313, 649, 223, 559)(195, 531, 216, 552, 306, 642, 289, 625)(199, 535, 246, 582, 317, 653, 294, 630)(202, 538, 296, 632, 307, 643, 295, 631)(207, 543, 231, 567, 320, 656, 290, 626)(210, 546, 267, 603, 318, 654, 256, 592)(219, 555, 271, 607, 322, 658, 309, 645)(221, 557, 293, 629, 336, 672, 303, 639)(226, 562, 316, 652, 328, 664, 243, 579)(229, 565, 279, 615, 334, 670, 260, 596)(233, 569, 321, 657, 262, 598, 323, 659)(249, 585, 276, 612, 287, 623, 330, 666)(275, 611, 325, 661, 300, 636, 327, 663)(278, 614, 332, 668, 281, 617, 329, 665)(283, 619, 301, 637, 333, 669, 286, 622)(299, 635, 331, 667, 304, 640, 324, 660)(673, 1009)(674, 1010)(675, 1011)(676, 1012)(677, 1013)(678, 1014)(679, 1015)(680, 1016)(681, 1017)(682, 1018)(683, 1019)(684, 1020)(685, 1021)(686, 1022)(687, 1023)(688, 1024)(689, 1025)(690, 1026)(691, 1027)(692, 1028)(693, 1029)(694, 1030)(695, 1031)(696, 1032)(697, 1033)(698, 1034)(699, 1035)(700, 1036)(701, 1037)(702, 1038)(703, 1039)(704, 1040)(705, 1041)(706, 1042)(707, 1043)(708, 1044)(709, 1045)(710, 1046)(711, 1047)(712, 1048)(713, 1049)(714, 1050)(715, 1051)(716, 1052)(717, 1053)(718, 1054)(719, 1055)(720, 1056)(721, 1057)(722, 1058)(723, 1059)(724, 1060)(725, 1061)(726, 1062)(727, 1063)(728, 1064)(729, 1065)(730, 1066)(731, 1067)(732, 1068)(733, 1069)(734, 1070)(735, 1071)(736, 1072)(737, 1073)(738, 1074)(739, 1075)(740, 1076)(741, 1077)(742, 1078)(743, 1079)(744, 1080)(745, 1081)(746, 1082)(747, 1083)(748, 1084)(749, 1085)(750, 1086)(751, 1087)(752, 1088)(753, 1089)(754, 1090)(755, 1091)(756, 1092)(757, 1093)(758, 1094)(759, 1095)(760, 1096)(761, 1097)(762, 1098)(763, 1099)(764, 1100)(765, 1101)(766, 1102)(767, 1103)(768, 1104)(769, 1105)(770, 1106)(771, 1107)(772, 1108)(773, 1109)(774, 1110)(775, 1111)(776, 1112)(777, 1113)(778, 1114)(779, 1115)(780, 1116)(781, 1117)(782, 1118)(783, 1119)(784, 1120)(785, 1121)(786, 1122)(787, 1123)(788, 1124)(789, 1125)(790, 1126)(791, 1127)(792, 1128)(793, 1129)(794, 1130)(795, 1131)(796, 1132)(797, 1133)(798, 1134)(799, 1135)(800, 1136)(801, 1137)(802, 1138)(803, 1139)(804, 1140)(805, 1141)(806, 1142)(807, 1143)(808, 1144)(809, 1145)(810, 1146)(811, 1147)(812, 1148)(813, 1149)(814, 1150)(815, 1151)(816, 1152)(817, 1153)(818, 1154)(819, 1155)(820, 1156)(821, 1157)(822, 1158)(823, 1159)(824, 1160)(825, 1161)(826, 1162)(827, 1163)(828, 1164)(829, 1165)(830, 1166)(831, 1167)(832, 1168)(833, 1169)(834, 1170)(835, 1171)(836, 1172)(837, 1173)(838, 1174)(839, 1175)(840, 1176)(841, 1177)(842, 1178)(843, 1179)(844, 1180)(845, 1181)(846, 1182)(847, 1183)(848, 1184)(849, 1185)(850, 1186)(851, 1187)(852, 1188)(853, 1189)(854, 1190)(855, 1191)(856, 1192)(857, 1193)(858, 1194)(859, 1195)(860, 1196)(861, 1197)(862, 1198)(863, 1199)(864, 1200)(865, 1201)(866, 1202)(867, 1203)(868, 1204)(869, 1205)(870, 1206)(871, 1207)(872, 1208)(873, 1209)(874, 1210)(875, 1211)(876, 1212)(877, 1213)(878, 1214)(879, 1215)(880, 1216)(881, 1217)(882, 1218)(883, 1219)(884, 1220)(885, 1221)(886, 1222)(887, 1223)(888, 1224)(889, 1225)(890, 1226)(891, 1227)(892, 1228)(893, 1229)(894, 1230)(895, 1231)(896, 1232)(897, 1233)(898, 1234)(899, 1235)(900, 1236)(901, 1237)(902, 1238)(903, 1239)(904, 1240)(905, 1241)(906, 1242)(907, 1243)(908, 1244)(909, 1245)(910, 1246)(911, 1247)(912, 1248)(913, 1249)(914, 1250)(915, 1251)(916, 1252)(917, 1253)(918, 1254)(919, 1255)(920, 1256)(921, 1257)(922, 1258)(923, 1259)(924, 1260)(925, 1261)(926, 1262)(927, 1263)(928, 1264)(929, 1265)(930, 1266)(931, 1267)(932, 1268)(933, 1269)(934, 1270)(935, 1271)(936, 1272)(937, 1273)(938, 1274)(939, 1275)(940, 1276)(941, 1277)(942, 1278)(943, 1279)(944, 1280)(945, 1281)(946, 1282)(947, 1283)(948, 1284)(949, 1285)(950, 1286)(951, 1287)(952, 1288)(953, 1289)(954, 1290)(955, 1291)(956, 1292)(957, 1293)(958, 1294)(959, 1295)(960, 1296)(961, 1297)(962, 1298)(963, 1299)(964, 1300)(965, 1301)(966, 1302)(967, 1303)(968, 1304)(969, 1305)(970, 1306)(971, 1307)(972, 1308)(973, 1309)(974, 1310)(975, 1311)(976, 1312)(977, 1313)(978, 1314)(979, 1315)(980, 1316)(981, 1317)(982, 1318)(983, 1319)(984, 1320)(985, 1321)(986, 1322)(987, 1323)(988, 1324)(989, 1325)(990, 1326)(991, 1327)(992, 1328)(993, 1329)(994, 1330)(995, 1331)(996, 1332)(997, 1333)(998, 1334)(999, 1335)(1000, 1336)(1001, 1337)(1002, 1338)(1003, 1339)(1004, 1340)(1005, 1341)(1006, 1342)(1007, 1343)(1008, 1344)
	L = (1, 675)(2, 679)(3, 682)(4, 684)(5, 673)(6, 687)(7, 689)(8, 674)(9, 676)(10, 696)(11, 698)(12, 699)(13, 701)(14, 677)(15, 705)(16, 678)(17, 710)(18, 712)(19, 713)(20, 680)(21, 717)(22, 681)(23, 683)(24, 704)(25, 725)(26, 726)(27, 729)(28, 731)(29, 732)(30, 685)(31, 736)(32, 686)(33, 740)(34, 742)(35, 743)(36, 688)(37, 690)(38, 716)(39, 751)(40, 752)(41, 754)(42, 691)(43, 758)(44, 692)(45, 761)(46, 693)(47, 765)(48, 694)(49, 768)(50, 695)(51, 697)(52, 774)(53, 775)(54, 778)(55, 780)(56, 700)(57, 720)(58, 785)(59, 786)(60, 789)(61, 791)(62, 792)(63, 702)(64, 796)(65, 703)(66, 724)(67, 706)(68, 746)(69, 805)(70, 806)(71, 808)(72, 707)(73, 812)(74, 708)(75, 815)(76, 709)(77, 711)(78, 821)(79, 822)(80, 825)(81, 827)(82, 829)(83, 831)(84, 832)(85, 714)(86, 836)(87, 715)(88, 750)(89, 842)(90, 834)(91, 838)(92, 718)(93, 845)(94, 719)(95, 784)(96, 849)(97, 721)(98, 852)(99, 722)(100, 855)(101, 723)(102, 859)(103, 861)(104, 807)(105, 727)(106, 771)(107, 801)(108, 810)(109, 865)(110, 728)(111, 730)(112, 870)(113, 871)(114, 872)(115, 833)(116, 733)(117, 795)(118, 877)(119, 878)(120, 879)(121, 734)(122, 880)(123, 735)(124, 882)(125, 884)(126, 885)(127, 737)(128, 738)(129, 889)(130, 739)(131, 741)(132, 894)(133, 895)(134, 896)(135, 793)(136, 898)(137, 794)(138, 798)(139, 744)(140, 901)(141, 745)(142, 804)(143, 905)(144, 747)(145, 908)(146, 748)(147, 911)(148, 749)(149, 915)(150, 857)(151, 787)(152, 753)(153, 818)(154, 781)(155, 763)(156, 755)(157, 835)(158, 923)(159, 924)(160, 925)(161, 756)(162, 926)(163, 757)(164, 928)(165, 929)(166, 930)(167, 759)(168, 760)(169, 762)(170, 844)(171, 937)(172, 764)(173, 939)(174, 941)(175, 766)(176, 767)(177, 945)(178, 942)(179, 769)(180, 948)(181, 770)(182, 840)(183, 951)(184, 772)(185, 914)(186, 773)(187, 955)(188, 776)(189, 858)(190, 933)(191, 777)(192, 779)(193, 959)(194, 961)(195, 782)(196, 963)(197, 783)(198, 876)(199, 965)(200, 867)(201, 967)(202, 788)(203, 790)(204, 971)(205, 853)(206, 972)(207, 860)(208, 973)(209, 797)(210, 887)(211, 847)(212, 976)(213, 863)(214, 977)(215, 799)(216, 800)(217, 979)(218, 981)(219, 802)(220, 975)(221, 803)(222, 936)(223, 913)(224, 891)(225, 809)(226, 900)(227, 989)(228, 811)(229, 990)(230, 991)(231, 813)(232, 814)(233, 994)(234, 886)(235, 816)(236, 946)(237, 817)(238, 904)(239, 938)(240, 819)(241, 984)(242, 820)(243, 950)(244, 823)(245, 873)(246, 824)(247, 826)(248, 1002)(249, 828)(250, 830)(251, 909)(252, 1003)(253, 916)(254, 1004)(255, 837)(256, 932)(257, 1005)(258, 918)(259, 1006)(260, 839)(261, 993)(262, 841)(263, 843)(264, 997)(265, 962)(266, 846)(267, 883)(268, 903)(269, 999)(270, 974)(271, 848)(272, 850)(273, 947)(274, 922)(275, 851)(276, 875)(277, 1001)(278, 854)(279, 902)(280, 917)(281, 856)(282, 869)(283, 888)(284, 987)(285, 862)(286, 864)(287, 949)(288, 992)(289, 968)(290, 866)(291, 927)(292, 868)(293, 954)(294, 986)(295, 980)(296, 935)(297, 874)(298, 921)(299, 943)(300, 969)(301, 956)(302, 1008)(303, 881)(304, 983)(305, 957)(306, 958)(307, 978)(308, 931)(309, 995)(310, 890)(311, 892)(312, 893)(313, 920)(314, 944)(315, 897)(316, 899)(317, 982)(318, 940)(319, 953)(320, 1007)(321, 906)(322, 996)(323, 988)(324, 907)(325, 910)(326, 985)(327, 912)(328, 934)(329, 919)(330, 960)(331, 970)(332, 1000)(333, 964)(334, 952)(335, 998)(336, 966)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E19.2408
Graph:: simple bipartite
	v = 420 e = 672 f = 216
	degree seq :: [ 2^336, 8^84 ]

E19.2410 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 5})
Quotient :: regular
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5, (T2 * T1^-1)^5, (T2 * T1^-2)^4, T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 10, 4)(3, 7, 14, 17, 8)(6, 12, 23, 26, 13)(9, 18, 33, 36, 19)(11, 21, 39, 42, 22)(15, 28, 51, 54, 29)(16, 30, 55, 57, 31)(20, 37, 65, 68, 38)(24, 44, 77, 79, 45)(25, 46, 80, 82, 47)(27, 49, 85, 88, 50)(32, 58, 98, 69, 59)(34, 61, 103, 106, 62)(35, 63, 107, 90, 52)(40, 70, 114, 116, 71)(41, 72, 117, 119, 73)(43, 75, 64, 109, 76)(48, 83, 131, 110, 84)(53, 91, 142, 144, 92)(56, 95, 149, 152, 96)(60, 101, 74, 120, 102)(66, 111, 169, 171, 112)(67, 113, 172, 161, 104)(78, 124, 189, 191, 125)(81, 128, 196, 199, 129)(86, 134, 205, 207, 135)(87, 136, 208, 210, 137)(89, 139, 97, 153, 140)(93, 145, 220, 154, 146)(94, 147, 138, 211, 148)(99, 155, 230, 178, 156)(100, 157, 232, 225, 150)(105, 162, 239, 241, 163)(108, 166, 219, 246, 167)(115, 175, 255, 257, 176)(118, 179, 259, 261, 180)(121, 183, 264, 265, 184)(122, 185, 164, 242, 186)(123, 187, 130, 200, 188)(126, 192, 272, 201, 193)(127, 194, 168, 247, 195)(132, 202, 282, 251, 203)(133, 204, 284, 277, 197)(141, 214, 237, 160, 215)(143, 217, 297, 300, 218)(151, 226, 309, 256, 227)(158, 233, 317, 318, 234)(159, 235, 177, 258, 236)(165, 243, 182, 263, 244)(170, 249, 332, 334, 250)(173, 206, 286, 335, 252)(174, 253, 181, 262, 254)(190, 270, 245, 329, 271)(198, 278, 310, 333, 279)(209, 288, 350, 275, 289)(212, 291, 356, 336, 267)(213, 292, 228, 311, 293)(216, 295, 229, 312, 296)(221, 301, 353, 316, 302)(222, 303, 354, 283, 298)(223, 304, 319, 357, 305)(224, 306, 287, 338, 307)(231, 314, 266, 342, 315)(238, 321, 331, 248, 322)(240, 324, 260, 299, 325)(268, 323, 280, 294, 343)(269, 344, 281, 352, 345)(273, 347, 328, 355, 348)(274, 349, 360, 327, 346)(276, 285, 341, 290, 351)(308, 326, 358, 313, 340)(320, 337, 330, 339, 359)
	L = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 32)(18, 34)(19, 35)(21, 40)(22, 41)(23, 43)(26, 48)(28, 52)(29, 53)(30, 56)(31, 44)(33, 60)(36, 64)(37, 66)(38, 67)(39, 69)(42, 74)(45, 78)(46, 81)(47, 70)(49, 86)(50, 87)(51, 89)(54, 93)(55, 94)(57, 97)(58, 99)(59, 100)(61, 104)(62, 105)(63, 108)(65, 110)(68, 85)(71, 115)(72, 118)(73, 111)(75, 121)(76, 122)(77, 123)(79, 126)(80, 127)(82, 130)(83, 132)(84, 133)(88, 138)(90, 141)(91, 143)(92, 134)(95, 150)(96, 151)(98, 154)(101, 158)(102, 159)(103, 160)(106, 164)(107, 165)(109, 168)(112, 170)(113, 173)(114, 174)(116, 177)(117, 178)(119, 181)(120, 182)(124, 190)(125, 183)(128, 197)(129, 198)(131, 201)(135, 206)(136, 209)(137, 155)(139, 212)(140, 213)(142, 216)(144, 219)(145, 221)(146, 222)(147, 223)(148, 224)(149, 191)(152, 228)(153, 229)(156, 231)(157, 176)(161, 238)(162, 240)(163, 233)(166, 184)(167, 245)(169, 248)(171, 208)(172, 251)(175, 256)(179, 234)(180, 260)(185, 266)(186, 202)(187, 267)(188, 268)(189, 269)(192, 273)(193, 274)(194, 275)(195, 276)(196, 257)(199, 280)(200, 281)(203, 283)(204, 250)(205, 285)(207, 287)(210, 290)(211, 272)(214, 294)(215, 291)(217, 298)(218, 299)(220, 263)(225, 308)(226, 310)(227, 304)(230, 313)(232, 316)(235, 319)(236, 247)(237, 320)(239, 323)(241, 286)(242, 326)(243, 327)(244, 328)(246, 330)(249, 333)(252, 297)(253, 336)(254, 296)(255, 337)(258, 338)(259, 334)(261, 295)(262, 339)(264, 340)(265, 341)(270, 346)(271, 300)(277, 302)(278, 325)(279, 289)(282, 353)(284, 355)(288, 305)(292, 332)(293, 301)(303, 315)(306, 317)(307, 312)(309, 329)(311, 321)(314, 324)(318, 348)(322, 356)(331, 345)(335, 344)(342, 350)(343, 347)(349, 354)(351, 352)(357, 360)(358, 359)
	local type(s) :: { ( 5^5 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 72 e = 180 f = 72
	degree seq :: [ 5^72 ]

E19.2411 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 5})
Quotient :: edge
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, (T2^-1 * T1)^5, (T2^-2 * T1)^4, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 ]
Map:: polytopal
	R = (1, 3, 8, 10, 4)(2, 5, 12, 14, 6)(7, 15, 28, 30, 16)(9, 18, 34, 36, 19)(11, 21, 40, 42, 22)(13, 24, 46, 48, 25)(17, 31, 57, 59, 32)(20, 37, 66, 68, 38)(23, 43, 75, 77, 44)(26, 49, 84, 86, 50)(27, 47, 81, 88, 51)(29, 53, 92, 94, 54)(33, 60, 102, 104, 61)(35, 63, 108, 69, 39)(41, 71, 118, 120, 72)(45, 78, 128, 130, 79)(52, 89, 64, 109, 90)(55, 95, 150, 112, 96)(56, 93, 147, 153, 97)(58, 98, 155, 156, 99)(62, 105, 100, 157, 106)(65, 110, 169, 171, 111)(67, 113, 173, 158, 101)(70, 115, 82, 134, 116)(73, 121, 184, 137, 122)(74, 119, 181, 187, 123)(76, 124, 189, 190, 125)(80, 131, 126, 191, 132)(83, 135, 202, 204, 136)(85, 138, 206, 192, 127)(87, 139, 208, 193, 140)(91, 144, 216, 218, 145)(103, 160, 236, 238, 161)(107, 165, 182, 244, 166)(114, 174, 234, 159, 175)(117, 178, 259, 261, 179)(129, 194, 277, 279, 195)(133, 199, 148, 222, 200)(141, 210, 274, 225, 211)(142, 209, 294, 297, 212)(143, 213, 162, 239, 214)(146, 219, 168, 247, 220)(149, 223, 308, 252, 224)(151, 226, 310, 299, 215)(152, 227, 311, 289, 205)(154, 229, 313, 315, 230)(163, 237, 323, 325, 240)(164, 241, 228, 312, 242)(167, 245, 232, 267, 246)(170, 249, 333, 334, 250)(172, 186, 269, 335, 251)(176, 254, 337, 338, 255)(177, 256, 196, 280, 257)(180, 262, 201, 285, 263)(183, 265, 340, 290, 266)(185, 268, 341, 309, 258)(188, 271, 343, 303, 272)(197, 278, 326, 346, 281)(198, 282, 270, 342, 283)(203, 287, 298, 348, 288)(207, 291, 243, 327, 292)(217, 300, 276, 332, 301)(221, 305, 231, 316, 306)(233, 317, 331, 248, 318)(235, 320, 314, 260, 321)(253, 336, 284, 322, 302)(264, 339, 273, 344, 304)(275, 324, 347, 286, 345)(293, 350, 307, 355, 351)(295, 352, 330, 356, 353)(296, 354, 360, 329, 349)(319, 357, 328, 358, 359)(361, 362)(363, 367)(364, 369)(365, 371)(366, 373)(368, 377)(370, 380)(372, 383)(374, 386)(375, 387)(376, 389)(378, 393)(379, 395)(381, 399)(382, 401)(384, 405)(385, 407)(388, 412)(390, 415)(391, 416)(392, 418)(394, 422)(396, 424)(397, 425)(398, 427)(400, 430)(402, 433)(403, 434)(404, 436)(406, 440)(408, 442)(409, 443)(410, 445)(411, 447)(413, 451)(414, 453)(417, 446)(419, 460)(420, 461)(421, 463)(423, 467)(426, 472)(428, 435)(429, 474)(431, 477)(432, 479)(437, 486)(438, 487)(439, 489)(441, 493)(444, 497)(448, 501)(449, 502)(450, 503)(452, 506)(454, 508)(455, 509)(456, 511)(457, 512)(458, 514)(459, 470)(462, 519)(464, 522)(465, 523)(466, 524)(468, 527)(469, 528)(471, 530)(473, 532)(475, 536)(476, 537)(478, 540)(480, 542)(481, 543)(482, 545)(483, 546)(484, 548)(485, 495)(488, 553)(490, 556)(491, 557)(492, 558)(494, 561)(496, 563)(498, 565)(499, 567)(500, 569)(504, 575)(505, 577)(507, 581)(510, 585)(513, 588)(515, 564)(516, 591)(517, 592)(518, 593)(520, 595)(521, 597)(525, 572)(526, 603)(529, 608)(531, 549)(533, 612)(534, 613)(535, 614)(538, 618)(539, 620)(541, 624)(544, 627)(547, 630)(550, 633)(551, 634)(552, 635)(554, 636)(555, 638)(559, 615)(560, 644)(562, 646)(566, 650)(568, 653)(570, 655)(571, 656)(573, 658)(574, 583)(576, 649)(578, 662)(579, 663)(580, 664)(582, 667)(584, 669)(586, 610)(587, 639)(589, 600)(590, 674)(594, 679)(596, 682)(598, 629)(599, 684)(601, 686)(602, 607)(604, 688)(605, 689)(606, 690)(609, 692)(611, 619)(616, 693)(617, 625)(621, 652)(622, 675)(623, 666)(626, 659)(628, 648)(631, 641)(632, 661)(637, 687)(640, 677)(642, 683)(643, 645)(647, 680)(651, 709)(654, 705)(657, 699)(660, 681)(665, 698)(668, 700)(670, 716)(671, 717)(672, 702)(673, 694)(676, 718)(678, 697)(685, 713)(691, 711)(695, 710)(696, 712)(701, 714)(703, 708)(704, 715)(706, 720)(707, 719)
	L = (1, 361)(2, 362)(3, 363)(4, 364)(5, 365)(6, 366)(7, 367)(8, 368)(9, 369)(10, 370)(11, 371)(12, 372)(13, 373)(14, 374)(15, 375)(16, 376)(17, 377)(18, 378)(19, 379)(20, 380)(21, 381)(22, 382)(23, 383)(24, 384)(25, 385)(26, 386)(27, 387)(28, 388)(29, 389)(30, 390)(31, 391)(32, 392)(33, 393)(34, 394)(35, 395)(36, 396)(37, 397)(38, 398)(39, 399)(40, 400)(41, 401)(42, 402)(43, 403)(44, 404)(45, 405)(46, 406)(47, 407)(48, 408)(49, 409)(50, 410)(51, 411)(52, 412)(53, 413)(54, 414)(55, 415)(56, 416)(57, 417)(58, 418)(59, 419)(60, 420)(61, 421)(62, 422)(63, 423)(64, 424)(65, 425)(66, 426)(67, 427)(68, 428)(69, 429)(70, 430)(71, 431)(72, 432)(73, 433)(74, 434)(75, 435)(76, 436)(77, 437)(78, 438)(79, 439)(80, 440)(81, 441)(82, 442)(83, 443)(84, 444)(85, 445)(86, 446)(87, 447)(88, 448)(89, 449)(90, 450)(91, 451)(92, 452)(93, 453)(94, 454)(95, 455)(96, 456)(97, 457)(98, 458)(99, 459)(100, 460)(101, 461)(102, 462)(103, 463)(104, 464)(105, 465)(106, 466)(107, 467)(108, 468)(109, 469)(110, 470)(111, 471)(112, 472)(113, 473)(114, 474)(115, 475)(116, 476)(117, 477)(118, 478)(119, 479)(120, 480)(121, 481)(122, 482)(123, 483)(124, 484)(125, 485)(126, 486)(127, 487)(128, 488)(129, 489)(130, 490)(131, 491)(132, 492)(133, 493)(134, 494)(135, 495)(136, 496)(137, 497)(138, 498)(139, 499)(140, 500)(141, 501)(142, 502)(143, 503)(144, 504)(145, 505)(146, 506)(147, 507)(148, 508)(149, 509)(150, 510)(151, 511)(152, 512)(153, 513)(154, 514)(155, 515)(156, 516)(157, 517)(158, 518)(159, 519)(160, 520)(161, 521)(162, 522)(163, 523)(164, 524)(165, 525)(166, 526)(167, 527)(168, 528)(169, 529)(170, 530)(171, 531)(172, 532)(173, 533)(174, 534)(175, 535)(176, 536)(177, 537)(178, 538)(179, 539)(180, 540)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 10, 10 ), ( 10^5 ) }
Outer automorphisms :: reflexible
Dual of E19.2412
Transitivity :: ET+
Graph:: simple bipartite
	v = 252 e = 360 f = 72
	degree seq :: [ 2^180, 5^72 ]

E19.2412 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 5})
Quotient :: loop
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, (T2^-1 * T1)^5, (T2^-2 * T1)^4, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 ]
Map::
	R = (1, 361, 3, 363, 8, 368, 10, 370, 4, 364)(2, 362, 5, 365, 12, 372, 14, 374, 6, 366)(7, 367, 15, 375, 28, 388, 30, 390, 16, 376)(9, 369, 18, 378, 34, 394, 36, 396, 19, 379)(11, 371, 21, 381, 40, 400, 42, 402, 22, 382)(13, 373, 24, 384, 46, 406, 48, 408, 25, 385)(17, 377, 31, 391, 57, 417, 59, 419, 32, 392)(20, 380, 37, 397, 66, 426, 68, 428, 38, 398)(23, 383, 43, 403, 75, 435, 77, 437, 44, 404)(26, 386, 49, 409, 84, 444, 86, 446, 50, 410)(27, 387, 47, 407, 81, 441, 88, 448, 51, 411)(29, 389, 53, 413, 92, 452, 94, 454, 54, 414)(33, 393, 60, 420, 102, 462, 104, 464, 61, 421)(35, 395, 63, 423, 108, 468, 69, 429, 39, 399)(41, 401, 71, 431, 118, 478, 120, 480, 72, 432)(45, 405, 78, 438, 128, 488, 130, 490, 79, 439)(52, 412, 89, 449, 64, 424, 109, 469, 90, 450)(55, 415, 95, 455, 150, 510, 112, 472, 96, 456)(56, 416, 93, 453, 147, 507, 153, 513, 97, 457)(58, 418, 98, 458, 155, 515, 156, 516, 99, 459)(62, 422, 105, 465, 100, 460, 157, 517, 106, 466)(65, 425, 110, 470, 169, 529, 171, 531, 111, 471)(67, 427, 113, 473, 173, 533, 158, 518, 101, 461)(70, 430, 115, 475, 82, 442, 134, 494, 116, 476)(73, 433, 121, 481, 184, 544, 137, 497, 122, 482)(74, 434, 119, 479, 181, 541, 187, 547, 123, 483)(76, 436, 124, 484, 189, 549, 190, 550, 125, 485)(80, 440, 131, 491, 126, 486, 191, 551, 132, 492)(83, 443, 135, 495, 202, 562, 204, 564, 136, 496)(85, 445, 138, 498, 206, 566, 192, 552, 127, 487)(87, 447, 139, 499, 208, 568, 193, 553, 140, 500)(91, 451, 144, 504, 216, 576, 218, 578, 145, 505)(103, 463, 160, 520, 236, 596, 238, 598, 161, 521)(107, 467, 165, 525, 182, 542, 244, 604, 166, 526)(114, 474, 174, 534, 234, 594, 159, 519, 175, 535)(117, 477, 178, 538, 259, 619, 261, 621, 179, 539)(129, 489, 194, 554, 277, 637, 279, 639, 195, 555)(133, 493, 199, 559, 148, 508, 222, 582, 200, 560)(141, 501, 210, 570, 274, 634, 225, 585, 211, 571)(142, 502, 209, 569, 294, 654, 297, 657, 212, 572)(143, 503, 213, 573, 162, 522, 239, 599, 214, 574)(146, 506, 219, 579, 168, 528, 247, 607, 220, 580)(149, 509, 223, 583, 308, 668, 252, 612, 224, 584)(151, 511, 226, 586, 310, 670, 299, 659, 215, 575)(152, 512, 227, 587, 311, 671, 289, 649, 205, 565)(154, 514, 229, 589, 313, 673, 315, 675, 230, 590)(163, 523, 237, 597, 323, 683, 325, 685, 240, 600)(164, 524, 241, 601, 228, 588, 312, 672, 242, 602)(167, 527, 245, 605, 232, 592, 267, 627, 246, 606)(170, 530, 249, 609, 333, 693, 334, 694, 250, 610)(172, 532, 186, 546, 269, 629, 335, 695, 251, 611)(176, 536, 254, 614, 337, 697, 338, 698, 255, 615)(177, 537, 256, 616, 196, 556, 280, 640, 257, 617)(180, 540, 262, 622, 201, 561, 285, 645, 263, 623)(183, 543, 265, 625, 340, 700, 290, 650, 266, 626)(185, 545, 268, 628, 341, 701, 309, 669, 258, 618)(188, 548, 271, 631, 343, 703, 303, 663, 272, 632)(197, 557, 278, 638, 326, 686, 346, 706, 281, 641)(198, 558, 282, 642, 270, 630, 342, 702, 283, 643)(203, 563, 287, 647, 298, 658, 348, 708, 288, 648)(207, 567, 291, 651, 243, 603, 327, 687, 292, 652)(217, 577, 300, 660, 276, 636, 332, 692, 301, 661)(221, 581, 305, 665, 231, 591, 316, 676, 306, 666)(233, 593, 317, 677, 331, 691, 248, 608, 318, 678)(235, 595, 320, 680, 314, 674, 260, 620, 321, 681)(253, 613, 336, 696, 284, 644, 322, 682, 302, 662)(264, 624, 339, 699, 273, 633, 344, 704, 304, 664)(275, 635, 324, 684, 347, 707, 286, 646, 345, 705)(293, 653, 350, 710, 307, 667, 355, 715, 351, 711)(295, 655, 352, 712, 330, 690, 356, 716, 353, 713)(296, 656, 354, 714, 360, 720, 329, 689, 349, 709)(319, 679, 357, 717, 328, 688, 358, 718, 359, 719)
	L = (1, 362)(2, 361)(3, 367)(4, 369)(5, 371)(6, 373)(7, 363)(8, 377)(9, 364)(10, 380)(11, 365)(12, 383)(13, 366)(14, 386)(15, 387)(16, 389)(17, 368)(18, 393)(19, 395)(20, 370)(21, 399)(22, 401)(23, 372)(24, 405)(25, 407)(26, 374)(27, 375)(28, 412)(29, 376)(30, 415)(31, 416)(32, 418)(33, 378)(34, 422)(35, 379)(36, 424)(37, 425)(38, 427)(39, 381)(40, 430)(41, 382)(42, 433)(43, 434)(44, 436)(45, 384)(46, 440)(47, 385)(48, 442)(49, 443)(50, 445)(51, 447)(52, 388)(53, 451)(54, 453)(55, 390)(56, 391)(57, 446)(58, 392)(59, 460)(60, 461)(61, 463)(62, 394)(63, 467)(64, 396)(65, 397)(66, 472)(67, 398)(68, 435)(69, 474)(70, 400)(71, 477)(72, 479)(73, 402)(74, 403)(75, 428)(76, 404)(77, 486)(78, 487)(79, 489)(80, 406)(81, 493)(82, 408)(83, 409)(84, 497)(85, 410)(86, 417)(87, 411)(88, 501)(89, 502)(90, 503)(91, 413)(92, 506)(93, 414)(94, 508)(95, 509)(96, 511)(97, 512)(98, 514)(99, 470)(100, 419)(101, 420)(102, 519)(103, 421)(104, 522)(105, 523)(106, 524)(107, 423)(108, 527)(109, 528)(110, 459)(111, 530)(112, 426)(113, 532)(114, 429)(115, 536)(116, 537)(117, 431)(118, 540)(119, 432)(120, 542)(121, 543)(122, 545)(123, 546)(124, 548)(125, 495)(126, 437)(127, 438)(128, 553)(129, 439)(130, 556)(131, 557)(132, 558)(133, 441)(134, 561)(135, 485)(136, 563)(137, 444)(138, 565)(139, 567)(140, 569)(141, 448)(142, 449)(143, 450)(144, 575)(145, 577)(146, 452)(147, 581)(148, 454)(149, 455)(150, 585)(151, 456)(152, 457)(153, 588)(154, 458)(155, 564)(156, 591)(157, 592)(158, 593)(159, 462)(160, 595)(161, 597)(162, 464)(163, 465)(164, 466)(165, 572)(166, 603)(167, 468)(168, 469)(169, 608)(170, 471)(171, 549)(172, 473)(173, 612)(174, 613)(175, 614)(176, 475)(177, 476)(178, 618)(179, 620)(180, 478)(181, 624)(182, 480)(183, 481)(184, 627)(185, 482)(186, 483)(187, 630)(188, 484)(189, 531)(190, 633)(191, 634)(192, 635)(193, 488)(194, 636)(195, 638)(196, 490)(197, 491)(198, 492)(199, 615)(200, 644)(201, 494)(202, 646)(203, 496)(204, 515)(205, 498)(206, 650)(207, 499)(208, 653)(209, 500)(210, 655)(211, 656)(212, 525)(213, 658)(214, 583)(215, 504)(216, 649)(217, 505)(218, 662)(219, 663)(220, 664)(221, 507)(222, 667)(223, 574)(224, 669)(225, 510)(226, 610)(227, 639)(228, 513)(229, 600)(230, 674)(231, 516)(232, 517)(233, 518)(234, 679)(235, 520)(236, 682)(237, 521)(238, 629)(239, 684)(240, 589)(241, 686)(242, 607)(243, 526)(244, 688)(245, 689)(246, 690)(247, 602)(248, 529)(249, 692)(250, 586)(251, 619)(252, 533)(253, 534)(254, 535)(255, 559)(256, 693)(257, 625)(258, 538)(259, 611)(260, 539)(261, 652)(262, 675)(263, 666)(264, 541)(265, 617)(266, 659)(267, 544)(268, 648)(269, 598)(270, 547)(271, 641)(272, 661)(273, 550)(274, 551)(275, 552)(276, 554)(277, 687)(278, 555)(279, 587)(280, 677)(281, 631)(282, 683)(283, 645)(284, 560)(285, 643)(286, 562)(287, 680)(288, 628)(289, 576)(290, 566)(291, 709)(292, 621)(293, 568)(294, 705)(295, 570)(296, 571)(297, 699)(298, 573)(299, 626)(300, 681)(301, 632)(302, 578)(303, 579)(304, 580)(305, 698)(306, 623)(307, 582)(308, 700)(309, 584)(310, 716)(311, 717)(312, 702)(313, 694)(314, 590)(315, 622)(316, 718)(317, 640)(318, 697)(319, 594)(320, 647)(321, 660)(322, 596)(323, 642)(324, 599)(325, 713)(326, 601)(327, 637)(328, 604)(329, 605)(330, 606)(331, 711)(332, 609)(333, 616)(334, 673)(335, 710)(336, 712)(337, 678)(338, 665)(339, 657)(340, 668)(341, 714)(342, 672)(343, 708)(344, 715)(345, 654)(346, 720)(347, 719)(348, 703)(349, 651)(350, 695)(351, 691)(352, 696)(353, 685)(354, 701)(355, 704)(356, 670)(357, 671)(358, 676)(359, 707)(360, 706)
	local type(s) :: { ( 2, 5, 2, 5, 2, 5, 2, 5, 2, 5 ) }
Outer automorphisms :: reflexible
Dual of E19.2411
Transitivity :: ET+ VT+ AT
Graph::
	v = 72 e = 360 f = 252
	degree seq :: [ 10^72 ]

E19.2413 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5})
Quotient :: dipole
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^5, (R * Y2 * Y3^-1)^2, (R * Y1 * Y2^-2)^2, (Y2^-1 * Y1)^5, (Y3 * Y2^-1)^5, (Y2 * Y1)^5, R * Y2^2 * Y1 * Y2^2 * R * Y2^-2 * Y1 * Y2^-2, (Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^2)^2, (Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 361, 2, 362)(3, 363, 7, 367)(4, 364, 9, 369)(5, 365, 11, 371)(6, 366, 13, 373)(8, 368, 17, 377)(10, 370, 20, 380)(12, 372, 23, 383)(14, 374, 26, 386)(15, 375, 27, 387)(16, 376, 29, 389)(18, 378, 33, 393)(19, 379, 35, 395)(21, 381, 39, 399)(22, 382, 41, 401)(24, 384, 45, 405)(25, 385, 47, 407)(28, 388, 52, 412)(30, 390, 55, 415)(31, 391, 56, 416)(32, 392, 58, 418)(34, 394, 62, 422)(36, 396, 64, 424)(37, 397, 65, 425)(38, 398, 67, 427)(40, 400, 70, 430)(42, 402, 73, 433)(43, 403, 74, 434)(44, 404, 76, 436)(46, 406, 80, 440)(48, 408, 82, 442)(49, 409, 83, 443)(50, 410, 85, 445)(51, 411, 87, 447)(53, 413, 91, 451)(54, 414, 93, 453)(57, 417, 86, 446)(59, 419, 100, 460)(60, 420, 101, 461)(61, 421, 103, 463)(63, 423, 107, 467)(66, 426, 112, 472)(68, 428, 75, 435)(69, 429, 114, 474)(71, 431, 117, 477)(72, 432, 119, 479)(77, 437, 126, 486)(78, 438, 127, 487)(79, 439, 129, 489)(81, 441, 133, 493)(84, 444, 137, 497)(88, 448, 141, 501)(89, 449, 142, 502)(90, 450, 143, 503)(92, 452, 146, 506)(94, 454, 148, 508)(95, 455, 149, 509)(96, 456, 151, 511)(97, 457, 152, 512)(98, 458, 154, 514)(99, 459, 110, 470)(102, 462, 159, 519)(104, 464, 162, 522)(105, 465, 163, 523)(106, 466, 164, 524)(108, 468, 167, 527)(109, 469, 168, 528)(111, 471, 170, 530)(113, 473, 172, 532)(115, 475, 176, 536)(116, 476, 177, 537)(118, 478, 180, 540)(120, 480, 182, 542)(121, 481, 183, 543)(122, 482, 185, 545)(123, 483, 186, 546)(124, 484, 188, 548)(125, 485, 135, 495)(128, 488, 193, 553)(130, 490, 196, 556)(131, 491, 197, 557)(132, 492, 198, 558)(134, 494, 201, 561)(136, 496, 203, 563)(138, 498, 205, 565)(139, 499, 207, 567)(140, 500, 209, 569)(144, 504, 215, 575)(145, 505, 217, 577)(147, 507, 221, 581)(150, 510, 225, 585)(153, 513, 228, 588)(155, 515, 204, 564)(156, 516, 231, 591)(157, 517, 232, 592)(158, 518, 233, 593)(160, 520, 235, 595)(161, 521, 237, 597)(165, 525, 212, 572)(166, 526, 243, 603)(169, 529, 248, 608)(171, 531, 189, 549)(173, 533, 252, 612)(174, 534, 253, 613)(175, 535, 254, 614)(178, 538, 258, 618)(179, 539, 260, 620)(181, 541, 264, 624)(184, 544, 267, 627)(187, 547, 270, 630)(190, 550, 273, 633)(191, 551, 274, 634)(192, 552, 275, 635)(194, 554, 276, 636)(195, 555, 278, 638)(199, 559, 255, 615)(200, 560, 284, 644)(202, 562, 286, 646)(206, 566, 290, 650)(208, 568, 293, 653)(210, 570, 295, 655)(211, 571, 296, 656)(213, 573, 298, 658)(214, 574, 223, 583)(216, 576, 289, 649)(218, 578, 302, 662)(219, 579, 303, 663)(220, 580, 304, 664)(222, 582, 307, 667)(224, 584, 309, 669)(226, 586, 250, 610)(227, 587, 279, 639)(229, 589, 240, 600)(230, 590, 314, 674)(234, 594, 319, 679)(236, 596, 322, 682)(238, 598, 269, 629)(239, 599, 324, 684)(241, 601, 326, 686)(242, 602, 247, 607)(244, 604, 328, 688)(245, 605, 329, 689)(246, 606, 330, 690)(249, 609, 332, 692)(251, 611, 259, 619)(256, 616, 333, 693)(257, 617, 265, 625)(261, 621, 292, 652)(262, 622, 315, 675)(263, 623, 306, 666)(266, 626, 299, 659)(268, 628, 288, 648)(271, 631, 281, 641)(272, 632, 301, 661)(277, 637, 327, 687)(280, 640, 317, 677)(282, 642, 323, 683)(283, 643, 285, 645)(287, 647, 320, 680)(291, 651, 349, 709)(294, 654, 345, 705)(297, 657, 339, 699)(300, 660, 321, 681)(305, 665, 338, 698)(308, 668, 340, 700)(310, 670, 356, 716)(311, 671, 357, 717)(312, 672, 342, 702)(313, 673, 334, 694)(316, 676, 358, 718)(318, 678, 337, 697)(325, 685, 353, 713)(331, 691, 351, 711)(335, 695, 350, 710)(336, 696, 352, 712)(341, 701, 354, 714)(343, 703, 348, 708)(344, 704, 355, 715)(346, 706, 360, 720)(347, 707, 359, 719)(721, 1081, 723, 1083, 728, 1088, 730, 1090, 724, 1084)(722, 1082, 725, 1085, 732, 1092, 734, 1094, 726, 1086)(727, 1087, 735, 1095, 748, 1108, 750, 1110, 736, 1096)(729, 1089, 738, 1098, 754, 1114, 756, 1116, 739, 1099)(731, 1091, 741, 1101, 760, 1120, 762, 1122, 742, 1102)(733, 1093, 744, 1104, 766, 1126, 768, 1128, 745, 1105)(737, 1097, 751, 1111, 777, 1137, 779, 1139, 752, 1112)(740, 1100, 757, 1117, 786, 1146, 788, 1148, 758, 1118)(743, 1103, 763, 1123, 795, 1155, 797, 1157, 764, 1124)(746, 1106, 769, 1129, 804, 1164, 806, 1166, 770, 1130)(747, 1107, 767, 1127, 801, 1161, 808, 1168, 771, 1131)(749, 1109, 773, 1133, 812, 1172, 814, 1174, 774, 1134)(753, 1113, 780, 1140, 822, 1182, 824, 1184, 781, 1141)(755, 1115, 783, 1143, 828, 1188, 789, 1149, 759, 1119)(761, 1121, 791, 1151, 838, 1198, 840, 1200, 792, 1152)(765, 1125, 798, 1158, 848, 1208, 850, 1210, 799, 1159)(772, 1132, 809, 1169, 784, 1144, 829, 1189, 810, 1170)(775, 1135, 815, 1175, 870, 1230, 832, 1192, 816, 1176)(776, 1136, 813, 1173, 867, 1227, 873, 1233, 817, 1177)(778, 1138, 818, 1178, 875, 1235, 876, 1236, 819, 1179)(782, 1142, 825, 1185, 820, 1180, 877, 1237, 826, 1186)(785, 1145, 830, 1190, 889, 1249, 891, 1251, 831, 1191)(787, 1147, 833, 1193, 893, 1253, 878, 1238, 821, 1181)(790, 1150, 835, 1195, 802, 1162, 854, 1214, 836, 1196)(793, 1153, 841, 1201, 904, 1264, 857, 1217, 842, 1202)(794, 1154, 839, 1199, 901, 1261, 907, 1267, 843, 1203)(796, 1156, 844, 1204, 909, 1269, 910, 1270, 845, 1205)(800, 1160, 851, 1211, 846, 1206, 911, 1271, 852, 1212)(803, 1163, 855, 1215, 922, 1282, 924, 1284, 856, 1216)(805, 1165, 858, 1218, 926, 1286, 912, 1272, 847, 1207)(807, 1167, 859, 1219, 928, 1288, 913, 1273, 860, 1220)(811, 1171, 864, 1224, 936, 1296, 938, 1298, 865, 1225)(823, 1183, 880, 1240, 956, 1316, 958, 1318, 881, 1241)(827, 1187, 885, 1245, 902, 1262, 964, 1324, 886, 1246)(834, 1194, 894, 1254, 954, 1314, 879, 1239, 895, 1255)(837, 1197, 898, 1258, 979, 1339, 981, 1341, 899, 1259)(849, 1209, 914, 1274, 997, 1357, 999, 1359, 915, 1275)(853, 1213, 919, 1279, 868, 1228, 942, 1302, 920, 1280)(861, 1221, 930, 1290, 994, 1354, 945, 1305, 931, 1291)(862, 1222, 929, 1289, 1014, 1374, 1017, 1377, 932, 1292)(863, 1223, 933, 1293, 882, 1242, 959, 1319, 934, 1294)(866, 1226, 939, 1299, 888, 1248, 967, 1327, 940, 1300)(869, 1229, 943, 1303, 1028, 1388, 972, 1332, 944, 1304)(871, 1231, 946, 1306, 1030, 1390, 1019, 1379, 935, 1295)(872, 1232, 947, 1307, 1031, 1391, 1009, 1369, 925, 1285)(874, 1234, 949, 1309, 1033, 1393, 1035, 1395, 950, 1310)(883, 1243, 957, 1317, 1043, 1403, 1045, 1405, 960, 1320)(884, 1244, 961, 1321, 948, 1308, 1032, 1392, 962, 1322)(887, 1247, 965, 1325, 952, 1312, 987, 1347, 966, 1326)(890, 1250, 969, 1329, 1053, 1413, 1054, 1414, 970, 1330)(892, 1252, 906, 1266, 989, 1349, 1055, 1415, 971, 1331)(896, 1256, 974, 1334, 1057, 1417, 1058, 1418, 975, 1335)(897, 1257, 976, 1336, 916, 1276, 1000, 1360, 977, 1337)(900, 1260, 982, 1342, 921, 1281, 1005, 1365, 983, 1343)(903, 1263, 985, 1345, 1060, 1420, 1010, 1370, 986, 1346)(905, 1265, 988, 1348, 1061, 1421, 1029, 1389, 978, 1338)(908, 1268, 991, 1351, 1063, 1423, 1023, 1383, 992, 1352)(917, 1277, 998, 1358, 1046, 1406, 1066, 1426, 1001, 1361)(918, 1278, 1002, 1362, 990, 1350, 1062, 1422, 1003, 1363)(923, 1283, 1007, 1367, 1018, 1378, 1068, 1428, 1008, 1368)(927, 1287, 1011, 1371, 963, 1323, 1047, 1407, 1012, 1372)(937, 1297, 1020, 1380, 996, 1356, 1052, 1412, 1021, 1381)(941, 1301, 1025, 1385, 951, 1311, 1036, 1396, 1026, 1386)(953, 1313, 1037, 1397, 1051, 1411, 968, 1328, 1038, 1398)(955, 1315, 1040, 1400, 1034, 1394, 980, 1340, 1041, 1401)(973, 1333, 1056, 1416, 1004, 1364, 1042, 1402, 1022, 1382)(984, 1344, 1059, 1419, 993, 1353, 1064, 1424, 1024, 1384)(995, 1355, 1044, 1404, 1067, 1427, 1006, 1366, 1065, 1425)(1013, 1373, 1070, 1430, 1027, 1387, 1075, 1435, 1071, 1431)(1015, 1375, 1072, 1432, 1050, 1410, 1076, 1436, 1073, 1433)(1016, 1376, 1074, 1434, 1080, 1440, 1049, 1409, 1069, 1429)(1039, 1399, 1077, 1437, 1048, 1408, 1078, 1438, 1079, 1439)
	L = (1, 722)(2, 721)(3, 727)(4, 729)(5, 731)(6, 733)(7, 723)(8, 737)(9, 724)(10, 740)(11, 725)(12, 743)(13, 726)(14, 746)(15, 747)(16, 749)(17, 728)(18, 753)(19, 755)(20, 730)(21, 759)(22, 761)(23, 732)(24, 765)(25, 767)(26, 734)(27, 735)(28, 772)(29, 736)(30, 775)(31, 776)(32, 778)(33, 738)(34, 782)(35, 739)(36, 784)(37, 785)(38, 787)(39, 741)(40, 790)(41, 742)(42, 793)(43, 794)(44, 796)(45, 744)(46, 800)(47, 745)(48, 802)(49, 803)(50, 805)(51, 807)(52, 748)(53, 811)(54, 813)(55, 750)(56, 751)(57, 806)(58, 752)(59, 820)(60, 821)(61, 823)(62, 754)(63, 827)(64, 756)(65, 757)(66, 832)(67, 758)(68, 795)(69, 834)(70, 760)(71, 837)(72, 839)(73, 762)(74, 763)(75, 788)(76, 764)(77, 846)(78, 847)(79, 849)(80, 766)(81, 853)(82, 768)(83, 769)(84, 857)(85, 770)(86, 777)(87, 771)(88, 861)(89, 862)(90, 863)(91, 773)(92, 866)(93, 774)(94, 868)(95, 869)(96, 871)(97, 872)(98, 874)(99, 830)(100, 779)(101, 780)(102, 879)(103, 781)(104, 882)(105, 883)(106, 884)(107, 783)(108, 887)(109, 888)(110, 819)(111, 890)(112, 786)(113, 892)(114, 789)(115, 896)(116, 897)(117, 791)(118, 900)(119, 792)(120, 902)(121, 903)(122, 905)(123, 906)(124, 908)(125, 855)(126, 797)(127, 798)(128, 913)(129, 799)(130, 916)(131, 917)(132, 918)(133, 801)(134, 921)(135, 845)(136, 923)(137, 804)(138, 925)(139, 927)(140, 929)(141, 808)(142, 809)(143, 810)(144, 935)(145, 937)(146, 812)(147, 941)(148, 814)(149, 815)(150, 945)(151, 816)(152, 817)(153, 948)(154, 818)(155, 924)(156, 951)(157, 952)(158, 953)(159, 822)(160, 955)(161, 957)(162, 824)(163, 825)(164, 826)(165, 932)(166, 963)(167, 828)(168, 829)(169, 968)(170, 831)(171, 909)(172, 833)(173, 972)(174, 973)(175, 974)(176, 835)(177, 836)(178, 978)(179, 980)(180, 838)(181, 984)(182, 840)(183, 841)(184, 987)(185, 842)(186, 843)(187, 990)(188, 844)(189, 891)(190, 993)(191, 994)(192, 995)(193, 848)(194, 996)(195, 998)(196, 850)(197, 851)(198, 852)(199, 975)(200, 1004)(201, 854)(202, 1006)(203, 856)(204, 875)(205, 858)(206, 1010)(207, 859)(208, 1013)(209, 860)(210, 1015)(211, 1016)(212, 885)(213, 1018)(214, 943)(215, 864)(216, 1009)(217, 865)(218, 1022)(219, 1023)(220, 1024)(221, 867)(222, 1027)(223, 934)(224, 1029)(225, 870)(226, 970)(227, 999)(228, 873)(229, 960)(230, 1034)(231, 876)(232, 877)(233, 878)(234, 1039)(235, 880)(236, 1042)(237, 881)(238, 989)(239, 1044)(240, 949)(241, 1046)(242, 967)(243, 886)(244, 1048)(245, 1049)(246, 1050)(247, 962)(248, 889)(249, 1052)(250, 946)(251, 979)(252, 893)(253, 894)(254, 895)(255, 919)(256, 1053)(257, 985)(258, 898)(259, 971)(260, 899)(261, 1012)(262, 1035)(263, 1026)(264, 901)(265, 977)(266, 1019)(267, 904)(268, 1008)(269, 958)(270, 907)(271, 1001)(272, 1021)(273, 910)(274, 911)(275, 912)(276, 914)(277, 1047)(278, 915)(279, 947)(280, 1037)(281, 991)(282, 1043)(283, 1005)(284, 920)(285, 1003)(286, 922)(287, 1040)(288, 988)(289, 936)(290, 926)(291, 1069)(292, 981)(293, 928)(294, 1065)(295, 930)(296, 931)(297, 1059)(298, 933)(299, 986)(300, 1041)(301, 992)(302, 938)(303, 939)(304, 940)(305, 1058)(306, 983)(307, 942)(308, 1060)(309, 944)(310, 1076)(311, 1077)(312, 1062)(313, 1054)(314, 950)(315, 982)(316, 1078)(317, 1000)(318, 1057)(319, 954)(320, 1007)(321, 1020)(322, 956)(323, 1002)(324, 959)(325, 1073)(326, 961)(327, 997)(328, 964)(329, 965)(330, 966)(331, 1071)(332, 969)(333, 976)(334, 1033)(335, 1070)(336, 1072)(337, 1038)(338, 1025)(339, 1017)(340, 1028)(341, 1074)(342, 1032)(343, 1068)(344, 1075)(345, 1014)(346, 1080)(347, 1079)(348, 1063)(349, 1011)(350, 1055)(351, 1051)(352, 1056)(353, 1045)(354, 1061)(355, 1064)(356, 1030)(357, 1031)(358, 1036)(359, 1067)(360, 1066)(361, 1081)(362, 1082)(363, 1083)(364, 1084)(365, 1085)(366, 1086)(367, 1087)(368, 1088)(369, 1089)(370, 1090)(371, 1091)(372, 1092)(373, 1093)(374, 1094)(375, 1095)(376, 1096)(377, 1097)(378, 1098)(379, 1099)(380, 1100)(381, 1101)(382, 1102)(383, 1103)(384, 1104)(385, 1105)(386, 1106)(387, 1107)(388, 1108)(389, 1109)(390, 1110)(391, 1111)(392, 1112)(393, 1113)(394, 1114)(395, 1115)(396, 1116)(397, 1117)(398, 1118)(399, 1119)(400, 1120)(401, 1121)(402, 1122)(403, 1123)(404, 1124)(405, 1125)(406, 1126)(407, 1127)(408, 1128)(409, 1129)(410, 1130)(411, 1131)(412, 1132)(413, 1133)(414, 1134)(415, 1135)(416, 1136)(417, 1137)(418, 1138)(419, 1139)(420, 1140)(421, 1141)(422, 1142)(423, 1143)(424, 1144)(425, 1145)(426, 1146)(427, 1147)(428, 1148)(429, 1149)(430, 1150)(431, 1151)(432, 1152)(433, 1153)(434, 1154)(435, 1155)(436, 1156)(437, 1157)(438, 1158)(439, 1159)(440, 1160)(441, 1161)(442, 1162)(443, 1163)(444, 1164)(445, 1165)(446, 1166)(447, 1167)(448, 1168)(449, 1169)(450, 1170)(451, 1171)(452, 1172)(453, 1173)(454, 1174)(455, 1175)(456, 1176)(457, 1177)(458, 1178)(459, 1179)(460, 1180)(461, 1181)(462, 1182)(463, 1183)(464, 1184)(465, 1185)(466, 1186)(467, 1187)(468, 1188)(469, 1189)(470, 1190)(471, 1191)(472, 1192)(473, 1193)(474, 1194)(475, 1195)(476, 1196)(477, 1197)(478, 1198)(479, 1199)(480, 1200)(481, 1201)(482, 1202)(483, 1203)(484, 1204)(485, 1205)(486, 1206)(487, 1207)(488, 1208)(489, 1209)(490, 1210)(491, 1211)(492, 1212)(493, 1213)(494, 1214)(495, 1215)(496, 1216)(497, 1217)(498, 1218)(499, 1219)(500, 1220)(501, 1221)(502, 1222)(503, 1223)(504, 1224)(505, 1225)(506, 1226)(507, 1227)(508, 1228)(509, 1229)(510, 1230)(511, 1231)(512, 1232)(513, 1233)(514, 1234)(515, 1235)(516, 1236)(517, 1237)(518, 1238)(519, 1239)(520, 1240)(521, 1241)(522, 1242)(523, 1243)(524, 1244)(525, 1245)(526, 1246)(527, 1247)(528, 1248)(529, 1249)(530, 1250)(531, 1251)(532, 1252)(533, 1253)(534, 1254)(535, 1255)(536, 1256)(537, 1257)(538, 1258)(539, 1259)(540, 1260)(541, 1261)(542, 1262)(543, 1263)(544, 1264)(545, 1265)(546, 1266)(547, 1267)(548, 1268)(549, 1269)(550, 1270)(551, 1271)(552, 1272)(553, 1273)(554, 1274)(555, 1275)(556, 1276)(557, 1277)(558, 1278)(559, 1279)(560, 1280)(561, 1281)(562, 1282)(563, 1283)(564, 1284)(565, 1285)(566, 1286)(567, 1287)(568, 1288)(569, 1289)(570, 1290)(571, 1291)(572, 1292)(573, 1293)(574, 1294)(575, 1295)(576, 1296)(577, 1297)(578, 1298)(579, 1299)(580, 1300)(581, 1301)(582, 1302)(583, 1303)(584, 1304)(585, 1305)(586, 1306)(587, 1307)(588, 1308)(589, 1309)(590, 1310)(591, 1311)(592, 1312)(593, 1313)(594, 1314)(595, 1315)(596, 1316)(597, 1317)(598, 1318)(599, 1319)(600, 1320)(601, 1321)(602, 1322)(603, 1323)(604, 1324)(605, 1325)(606, 1326)(607, 1327)(608, 1328)(609, 1329)(610, 1330)(611, 1331)(612, 1332)(613, 1333)(614, 1334)(615, 1335)(616, 1336)(617, 1337)(618, 1338)(619, 1339)(620, 1340)(621, 1341)(622, 1342)(623, 1343)(624, 1344)(625, 1345)(626, 1346)(627, 1347)(628, 1348)(629, 1349)(630, 1350)(631, 1351)(632, 1352)(633, 1353)(634, 1354)(635, 1355)(636, 1356)(637, 1357)(638, 1358)(639, 1359)(640, 1360)(641, 1361)(642, 1362)(643, 1363)(644, 1364)(645, 1365)(646, 1366)(647, 1367)(648, 1368)(649, 1369)(650, 1370)(651, 1371)(652, 1372)(653, 1373)(654, 1374)(655, 1375)(656, 1376)(657, 1377)(658, 1378)(659, 1379)(660, 1380)(661, 1381)(662, 1382)(663, 1383)(664, 1384)(665, 1385)(666, 1386)(667, 1387)(668, 1388)(669, 1389)(670, 1390)(671, 1391)(672, 1392)(673, 1393)(674, 1394)(675, 1395)(676, 1396)(677, 1397)(678, 1398)(679, 1399)(680, 1400)(681, 1401)(682, 1402)(683, 1403)(684, 1404)(685, 1405)(686, 1406)(687, 1407)(688, 1408)(689, 1409)(690, 1410)(691, 1411)(692, 1412)(693, 1413)(694, 1414)(695, 1415)(696, 1416)(697, 1417)(698, 1418)(699, 1419)(700, 1420)(701, 1421)(702, 1422)(703, 1423)(704, 1424)(705, 1425)(706, 1426)(707, 1427)(708, 1428)(709, 1429)(710, 1430)(711, 1431)(712, 1432)(713, 1433)(714, 1434)(715, 1435)(716, 1436)(717, 1437)(718, 1438)(719, 1439)(720, 1440)
	local type(s) :: { ( 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.2414
Graph:: bipartite
	v = 252 e = 720 f = 432
	degree seq :: [ 4^180, 10^72 ]

E19.2414 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5})
Quotient :: dipole
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^5, (Y1 * Y3)^5, (Y1^-2 * Y3)^4, (Y1^-1 * Y3 * Y1^-1)^4, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 ]
Map:: polytopal
	R = (1, 361, 2, 362, 5, 365, 10, 370, 4, 364)(3, 363, 7, 367, 14, 374, 17, 377, 8, 368)(6, 366, 12, 372, 23, 383, 26, 386, 13, 373)(9, 369, 18, 378, 33, 393, 36, 396, 19, 379)(11, 371, 21, 381, 39, 399, 42, 402, 22, 382)(15, 375, 28, 388, 51, 411, 54, 414, 29, 389)(16, 376, 30, 390, 55, 415, 57, 417, 31, 391)(20, 380, 37, 397, 65, 425, 68, 428, 38, 398)(24, 384, 44, 404, 77, 437, 79, 439, 45, 405)(25, 385, 46, 406, 80, 440, 82, 442, 47, 407)(27, 387, 49, 409, 85, 445, 88, 448, 50, 410)(32, 392, 58, 418, 98, 458, 69, 429, 59, 419)(34, 394, 61, 421, 103, 463, 106, 466, 62, 422)(35, 395, 63, 423, 107, 467, 90, 450, 52, 412)(40, 400, 70, 430, 114, 474, 116, 476, 71, 431)(41, 401, 72, 432, 117, 477, 119, 479, 73, 433)(43, 403, 75, 435, 64, 424, 109, 469, 76, 436)(48, 408, 83, 443, 131, 491, 110, 470, 84, 444)(53, 413, 91, 451, 142, 502, 144, 504, 92, 452)(56, 416, 95, 455, 149, 509, 152, 512, 96, 456)(60, 420, 101, 461, 74, 434, 120, 480, 102, 462)(66, 426, 111, 471, 169, 529, 171, 531, 112, 472)(67, 427, 113, 473, 172, 532, 161, 521, 104, 464)(78, 438, 124, 484, 189, 549, 191, 551, 125, 485)(81, 441, 128, 488, 196, 556, 199, 559, 129, 489)(86, 446, 134, 494, 205, 565, 207, 567, 135, 495)(87, 447, 136, 496, 208, 568, 210, 570, 137, 497)(89, 449, 139, 499, 97, 457, 153, 513, 140, 500)(93, 453, 145, 505, 220, 580, 154, 514, 146, 506)(94, 454, 147, 507, 138, 498, 211, 571, 148, 508)(99, 459, 155, 515, 230, 590, 178, 538, 156, 516)(100, 460, 157, 517, 232, 592, 225, 585, 150, 510)(105, 465, 162, 522, 239, 599, 241, 601, 163, 523)(108, 468, 166, 526, 219, 579, 246, 606, 167, 527)(115, 475, 175, 535, 255, 615, 257, 617, 176, 536)(118, 478, 179, 539, 259, 619, 261, 621, 180, 540)(121, 481, 183, 543, 264, 624, 265, 625, 184, 544)(122, 482, 185, 545, 164, 524, 242, 602, 186, 546)(123, 483, 187, 547, 130, 490, 200, 560, 188, 548)(126, 486, 192, 552, 272, 632, 201, 561, 193, 553)(127, 487, 194, 554, 168, 528, 247, 607, 195, 555)(132, 492, 202, 562, 282, 642, 251, 611, 203, 563)(133, 493, 204, 564, 284, 644, 277, 637, 197, 557)(141, 501, 214, 574, 237, 597, 160, 520, 215, 575)(143, 503, 217, 577, 297, 657, 300, 660, 218, 578)(151, 511, 226, 586, 309, 669, 256, 616, 227, 587)(158, 518, 233, 593, 317, 677, 318, 678, 234, 594)(159, 519, 235, 595, 177, 537, 258, 618, 236, 596)(165, 525, 243, 603, 182, 542, 263, 623, 244, 604)(170, 530, 249, 609, 332, 692, 334, 694, 250, 610)(173, 533, 206, 566, 286, 646, 335, 695, 252, 612)(174, 534, 253, 613, 181, 541, 262, 622, 254, 614)(190, 550, 270, 630, 245, 605, 329, 689, 271, 631)(198, 558, 278, 638, 310, 670, 333, 693, 279, 639)(209, 569, 288, 648, 350, 710, 275, 635, 289, 649)(212, 572, 291, 651, 356, 716, 336, 696, 267, 627)(213, 573, 292, 652, 228, 588, 311, 671, 293, 653)(216, 576, 295, 655, 229, 589, 312, 672, 296, 656)(221, 581, 301, 661, 353, 713, 316, 676, 302, 662)(222, 582, 303, 663, 354, 714, 283, 643, 298, 658)(223, 583, 304, 664, 319, 679, 357, 717, 305, 665)(224, 584, 306, 666, 287, 647, 338, 698, 307, 667)(231, 591, 314, 674, 266, 626, 342, 702, 315, 675)(238, 598, 321, 681, 331, 691, 248, 608, 322, 682)(240, 600, 324, 684, 260, 620, 299, 659, 325, 685)(268, 628, 323, 683, 280, 640, 294, 654, 343, 703)(269, 629, 344, 704, 281, 641, 352, 712, 345, 705)(273, 633, 347, 707, 328, 688, 355, 715, 348, 708)(274, 634, 349, 709, 360, 720, 327, 687, 346, 706)(276, 636, 285, 645, 341, 701, 290, 650, 351, 711)(308, 668, 326, 686, 358, 718, 313, 673, 340, 700)(320, 680, 337, 697, 330, 690, 339, 699, 359, 719)(721, 1081)(722, 1082)(723, 1083)(724, 1084)(725, 1085)(726, 1086)(727, 1087)(728, 1088)(729, 1089)(730, 1090)(731, 1091)(732, 1092)(733, 1093)(734, 1094)(735, 1095)(736, 1096)(737, 1097)(738, 1098)(739, 1099)(740, 1100)(741, 1101)(742, 1102)(743, 1103)(744, 1104)(745, 1105)(746, 1106)(747, 1107)(748, 1108)(749, 1109)(750, 1110)(751, 1111)(752, 1112)(753, 1113)(754, 1114)(755, 1115)(756, 1116)(757, 1117)(758, 1118)(759, 1119)(760, 1120)(761, 1121)(762, 1122)(763, 1123)(764, 1124)(765, 1125)(766, 1126)(767, 1127)(768, 1128)(769, 1129)(770, 1130)(771, 1131)(772, 1132)(773, 1133)(774, 1134)(775, 1135)(776, 1136)(777, 1137)(778, 1138)(779, 1139)(780, 1140)(781, 1141)(782, 1142)(783, 1143)(784, 1144)(785, 1145)(786, 1146)(787, 1147)(788, 1148)(789, 1149)(790, 1150)(791, 1151)(792, 1152)(793, 1153)(794, 1154)(795, 1155)(796, 1156)(797, 1157)(798, 1158)(799, 1159)(800, 1160)(801, 1161)(802, 1162)(803, 1163)(804, 1164)(805, 1165)(806, 1166)(807, 1167)(808, 1168)(809, 1169)(810, 1170)(811, 1171)(812, 1172)(813, 1173)(814, 1174)(815, 1175)(816, 1176)(817, 1177)(818, 1178)(819, 1179)(820, 1180)(821, 1181)(822, 1182)(823, 1183)(824, 1184)(825, 1185)(826, 1186)(827, 1187)(828, 1188)(829, 1189)(830, 1190)(831, 1191)(832, 1192)(833, 1193)(834, 1194)(835, 1195)(836, 1196)(837, 1197)(838, 1198)(839, 1199)(840, 1200)(841, 1201)(842, 1202)(843, 1203)(844, 1204)(845, 1205)(846, 1206)(847, 1207)(848, 1208)(849, 1209)(850, 1210)(851, 1211)(852, 1212)(853, 1213)(854, 1214)(855, 1215)(856, 1216)(857, 1217)(858, 1218)(859, 1219)(860, 1220)(861, 1221)(862, 1222)(863, 1223)(864, 1224)(865, 1225)(866, 1226)(867, 1227)(868, 1228)(869, 1229)(870, 1230)(871, 1231)(872, 1232)(873, 1233)(874, 1234)(875, 1235)(876, 1236)(877, 1237)(878, 1238)(879, 1239)(880, 1240)(881, 1241)(882, 1242)(883, 1243)(884, 1244)(885, 1245)(886, 1246)(887, 1247)(888, 1248)(889, 1249)(890, 1250)(891, 1251)(892, 1252)(893, 1253)(894, 1254)(895, 1255)(896, 1256)(897, 1257)(898, 1258)(899, 1259)(900, 1260)(901, 1261)(902, 1262)(903, 1263)(904, 1264)(905, 1265)(906, 1266)(907, 1267)(908, 1268)(909, 1269)(910, 1270)(911, 1271)(912, 1272)(913, 1273)(914, 1274)(915, 1275)(916, 1276)(917, 1277)(918, 1278)(919, 1279)(920, 1280)(921, 1281)(922, 1282)(923, 1283)(924, 1284)(925, 1285)(926, 1286)(927, 1287)(928, 1288)(929, 1289)(930, 1290)(931, 1291)(932, 1292)(933, 1293)(934, 1294)(935, 1295)(936, 1296)(937, 1297)(938, 1298)(939, 1299)(940, 1300)(941, 1301)(942, 1302)(943, 1303)(944, 1304)(945, 1305)(946, 1306)(947, 1307)(948, 1308)(949, 1309)(950, 1310)(951, 1311)(952, 1312)(953, 1313)(954, 1314)(955, 1315)(956, 1316)(957, 1317)(958, 1318)(959, 1319)(960, 1320)(961, 1321)(962, 1322)(963, 1323)(964, 1324)(965, 1325)(966, 1326)(967, 1327)(968, 1328)(969, 1329)(970, 1330)(971, 1331)(972, 1332)(973, 1333)(974, 1334)(975, 1335)(976, 1336)(977, 1337)(978, 1338)(979, 1339)(980, 1340)(981, 1341)(982, 1342)(983, 1343)(984, 1344)(985, 1345)(986, 1346)(987, 1347)(988, 1348)(989, 1349)(990, 1350)(991, 1351)(992, 1352)(993, 1353)(994, 1354)(995, 1355)(996, 1356)(997, 1357)(998, 1358)(999, 1359)(1000, 1360)(1001, 1361)(1002, 1362)(1003, 1363)(1004, 1364)(1005, 1365)(1006, 1366)(1007, 1367)(1008, 1368)(1009, 1369)(1010, 1370)(1011, 1371)(1012, 1372)(1013, 1373)(1014, 1374)(1015, 1375)(1016, 1376)(1017, 1377)(1018, 1378)(1019, 1379)(1020, 1380)(1021, 1381)(1022, 1382)(1023, 1383)(1024, 1384)(1025, 1385)(1026, 1386)(1027, 1387)(1028, 1388)(1029, 1389)(1030, 1390)(1031, 1391)(1032, 1392)(1033, 1393)(1034, 1394)(1035, 1395)(1036, 1396)(1037, 1397)(1038, 1398)(1039, 1399)(1040, 1400)(1041, 1401)(1042, 1402)(1043, 1403)(1044, 1404)(1045, 1405)(1046, 1406)(1047, 1407)(1048, 1408)(1049, 1409)(1050, 1410)(1051, 1411)(1052, 1412)(1053, 1413)(1054, 1414)(1055, 1415)(1056, 1416)(1057, 1417)(1058, 1418)(1059, 1419)(1060, 1420)(1061, 1421)(1062, 1422)(1063, 1423)(1064, 1424)(1065, 1425)(1066, 1426)(1067, 1427)(1068, 1428)(1069, 1429)(1070, 1430)(1071, 1431)(1072, 1432)(1073, 1433)(1074, 1434)(1075, 1435)(1076, 1436)(1077, 1437)(1078, 1438)(1079, 1439)(1080, 1440)
	L = (1, 723)(2, 726)(3, 721)(4, 729)(5, 731)(6, 722)(7, 735)(8, 736)(9, 724)(10, 740)(11, 725)(12, 744)(13, 745)(14, 747)(15, 727)(16, 728)(17, 752)(18, 754)(19, 755)(20, 730)(21, 760)(22, 761)(23, 763)(24, 732)(25, 733)(26, 768)(27, 734)(28, 772)(29, 773)(30, 776)(31, 764)(32, 737)(33, 780)(34, 738)(35, 739)(36, 784)(37, 786)(38, 787)(39, 789)(40, 741)(41, 742)(42, 794)(43, 743)(44, 751)(45, 798)(46, 801)(47, 790)(48, 746)(49, 806)(50, 807)(51, 809)(52, 748)(53, 749)(54, 813)(55, 814)(56, 750)(57, 817)(58, 819)(59, 820)(60, 753)(61, 824)(62, 825)(63, 828)(64, 756)(65, 830)(66, 757)(67, 758)(68, 805)(69, 759)(70, 767)(71, 835)(72, 838)(73, 831)(74, 762)(75, 841)(76, 842)(77, 843)(78, 765)(79, 846)(80, 847)(81, 766)(82, 850)(83, 852)(84, 853)(85, 788)(86, 769)(87, 770)(88, 858)(89, 771)(90, 861)(91, 863)(92, 854)(93, 774)(94, 775)(95, 870)(96, 871)(97, 777)(98, 874)(99, 778)(100, 779)(101, 878)(102, 879)(103, 880)(104, 781)(105, 782)(106, 884)(107, 885)(108, 783)(109, 888)(110, 785)(111, 793)(112, 890)(113, 893)(114, 894)(115, 791)(116, 897)(117, 898)(118, 792)(119, 901)(120, 902)(121, 795)(122, 796)(123, 797)(124, 910)(125, 903)(126, 799)(127, 800)(128, 917)(129, 918)(130, 802)(131, 921)(132, 803)(133, 804)(134, 812)(135, 926)(136, 929)(137, 875)(138, 808)(139, 932)(140, 933)(141, 810)(142, 936)(143, 811)(144, 939)(145, 941)(146, 942)(147, 943)(148, 944)(149, 911)(150, 815)(151, 816)(152, 948)(153, 949)(154, 818)(155, 857)(156, 951)(157, 896)(158, 821)(159, 822)(160, 823)(161, 958)(162, 960)(163, 953)(164, 826)(165, 827)(166, 904)(167, 965)(168, 829)(169, 968)(170, 832)(171, 928)(172, 971)(173, 833)(174, 834)(175, 976)(176, 877)(177, 836)(178, 837)(179, 954)(180, 980)(181, 839)(182, 840)(183, 845)(184, 886)(185, 986)(186, 922)(187, 987)(188, 988)(189, 989)(190, 844)(191, 869)(192, 993)(193, 994)(194, 995)(195, 996)(196, 977)(197, 848)(198, 849)(199, 1000)(200, 1001)(201, 851)(202, 906)(203, 1003)(204, 970)(205, 1005)(206, 855)(207, 1007)(208, 891)(209, 856)(210, 1010)(211, 992)(212, 859)(213, 860)(214, 1014)(215, 1011)(216, 862)(217, 1018)(218, 1019)(219, 864)(220, 983)(221, 865)(222, 866)(223, 867)(224, 868)(225, 1028)(226, 1030)(227, 1024)(228, 872)(229, 873)(230, 1033)(231, 876)(232, 1036)(233, 883)(234, 899)(235, 1039)(236, 967)(237, 1040)(238, 881)(239, 1043)(240, 882)(241, 1006)(242, 1046)(243, 1047)(244, 1048)(245, 887)(246, 1050)(247, 956)(248, 889)(249, 1053)(250, 924)(251, 892)(252, 1017)(253, 1056)(254, 1016)(255, 1057)(256, 895)(257, 916)(258, 1058)(259, 1054)(260, 900)(261, 1015)(262, 1059)(263, 940)(264, 1060)(265, 1061)(266, 905)(267, 907)(268, 908)(269, 909)(270, 1066)(271, 1020)(272, 931)(273, 912)(274, 913)(275, 914)(276, 915)(277, 1022)(278, 1045)(279, 1009)(280, 919)(281, 920)(282, 1073)(283, 923)(284, 1075)(285, 925)(286, 961)(287, 927)(288, 1025)(289, 999)(290, 930)(291, 935)(292, 1052)(293, 1021)(294, 934)(295, 981)(296, 974)(297, 972)(298, 937)(299, 938)(300, 991)(301, 1013)(302, 997)(303, 1035)(304, 947)(305, 1008)(306, 1037)(307, 1032)(308, 945)(309, 1049)(310, 946)(311, 1041)(312, 1027)(313, 950)(314, 1044)(315, 1023)(316, 952)(317, 1026)(318, 1068)(319, 955)(320, 957)(321, 1031)(322, 1076)(323, 959)(324, 1034)(325, 998)(326, 962)(327, 963)(328, 964)(329, 1029)(330, 966)(331, 1065)(332, 1012)(333, 969)(334, 979)(335, 1064)(336, 973)(337, 975)(338, 978)(339, 982)(340, 984)(341, 985)(342, 1070)(343, 1067)(344, 1055)(345, 1051)(346, 990)(347, 1063)(348, 1038)(349, 1074)(350, 1062)(351, 1072)(352, 1071)(353, 1002)(354, 1069)(355, 1004)(356, 1042)(357, 1080)(358, 1079)(359, 1078)(360, 1077)(361, 1081)(362, 1082)(363, 1083)(364, 1084)(365, 1085)(366, 1086)(367, 1087)(368, 1088)(369, 1089)(370, 1090)(371, 1091)(372, 1092)(373, 1093)(374, 1094)(375, 1095)(376, 1096)(377, 1097)(378, 1098)(379, 1099)(380, 1100)(381, 1101)(382, 1102)(383, 1103)(384, 1104)(385, 1105)(386, 1106)(387, 1107)(388, 1108)(389, 1109)(390, 1110)(391, 1111)(392, 1112)(393, 1113)(394, 1114)(395, 1115)(396, 1116)(397, 1117)(398, 1118)(399, 1119)(400, 1120)(401, 1121)(402, 1122)(403, 1123)(404, 1124)(405, 1125)(406, 1126)(407, 1127)(408, 1128)(409, 1129)(410, 1130)(411, 1131)(412, 1132)(413, 1133)(414, 1134)(415, 1135)(416, 1136)(417, 1137)(418, 1138)(419, 1139)(420, 1140)(421, 1141)(422, 1142)(423, 1143)(424, 1144)(425, 1145)(426, 1146)(427, 1147)(428, 1148)(429, 1149)(430, 1150)(431, 1151)(432, 1152)(433, 1153)(434, 1154)(435, 1155)(436, 1156)(437, 1157)(438, 1158)(439, 1159)(440, 1160)(441, 1161)(442, 1162)(443, 1163)(444, 1164)(445, 1165)(446, 1166)(447, 1167)(448, 1168)(449, 1169)(450, 1170)(451, 1171)(452, 1172)(453, 1173)(454, 1174)(455, 1175)(456, 1176)(457, 1177)(458, 1178)(459, 1179)(460, 1180)(461, 1181)(462, 1182)(463, 1183)(464, 1184)(465, 1185)(466, 1186)(467, 1187)(468, 1188)(469, 1189)(470, 1190)(471, 1191)(472, 1192)(473, 1193)(474, 1194)(475, 1195)(476, 1196)(477, 1197)(478, 1198)(479, 1199)(480, 1200)(481, 1201)(482, 1202)(483, 1203)(484, 1204)(485, 1205)(486, 1206)(487, 1207)(488, 1208)(489, 1209)(490, 1210)(491, 1211)(492, 1212)(493, 1213)(494, 1214)(495, 1215)(496, 1216)(497, 1217)(498, 1218)(499, 1219)(500, 1220)(501, 1221)(502, 1222)(503, 1223)(504, 1224)(505, 1225)(506, 1226)(507, 1227)(508, 1228)(509, 1229)(510, 1230)(511, 1231)(512, 1232)(513, 1233)(514, 1234)(515, 1235)(516, 1236)(517, 1237)(518, 1238)(519, 1239)(520, 1240)(521, 1241)(522, 1242)(523, 1243)(524, 1244)(525, 1245)(526, 1246)(527, 1247)(528, 1248)(529, 1249)(530, 1250)(531, 1251)(532, 1252)(533, 1253)(534, 1254)(535, 1255)(536, 1256)(537, 1257)(538, 1258)(539, 1259)(540, 1260)(541, 1261)(542, 1262)(543, 1263)(544, 1264)(545, 1265)(546, 1266)(547, 1267)(548, 1268)(549, 1269)(550, 1270)(551, 1271)(552, 1272)(553, 1273)(554, 1274)(555, 1275)(556, 1276)(557, 1277)(558, 1278)(559, 1279)(560, 1280)(561, 1281)(562, 1282)(563, 1283)(564, 1284)(565, 1285)(566, 1286)(567, 1287)(568, 1288)(569, 1289)(570, 1290)(571, 1291)(572, 1292)(573, 1293)(574, 1294)(575, 1295)(576, 1296)(577, 1297)(578, 1298)(579, 1299)(580, 1300)(581, 1301)(582, 1302)(583, 1303)(584, 1304)(585, 1305)(586, 1306)(587, 1307)(588, 1308)(589, 1309)(590, 1310)(591, 1311)(592, 1312)(593, 1313)(594, 1314)(595, 1315)(596, 1316)(597, 1317)(598, 1318)(599, 1319)(600, 1320)(601, 1321)(602, 1322)(603, 1323)(604, 1324)(605, 1325)(606, 1326)(607, 1327)(608, 1328)(609, 1329)(610, 1330)(611, 1331)(612, 1332)(613, 1333)(614, 1334)(615, 1335)(616, 1336)(617, 1337)(618, 1338)(619, 1339)(620, 1340)(621, 1341)(622, 1342)(623, 1343)(624, 1344)(625, 1345)(626, 1346)(627, 1347)(628, 1348)(629, 1349)(630, 1350)(631, 1351)(632, 1352)(633, 1353)(634, 1354)(635, 1355)(636, 1356)(637, 1357)(638, 1358)(639, 1359)(640, 1360)(641, 1361)(642, 1362)(643, 1363)(644, 1364)(645, 1365)(646, 1366)(647, 1367)(648, 1368)(649, 1369)(650, 1370)(651, 1371)(652, 1372)(653, 1373)(654, 1374)(655, 1375)(656, 1376)(657, 1377)(658, 1378)(659, 1379)(660, 1380)(661, 1381)(662, 1382)(663, 1383)(664, 1384)(665, 1385)(666, 1386)(667, 1387)(668, 1388)(669, 1389)(670, 1390)(671, 1391)(672, 1392)(673, 1393)(674, 1394)(675, 1395)(676, 1396)(677, 1397)(678, 1398)(679, 1399)(680, 1400)(681, 1401)(682, 1402)(683, 1403)(684, 1404)(685, 1405)(686, 1406)(687, 1407)(688, 1408)(689, 1409)(690, 1410)(691, 1411)(692, 1412)(693, 1413)(694, 1414)(695, 1415)(696, 1416)(697, 1417)(698, 1418)(699, 1419)(700, 1420)(701, 1421)(702, 1422)(703, 1423)(704, 1424)(705, 1425)(706, 1426)(707, 1427)(708, 1428)(709, 1429)(710, 1430)(711, 1431)(712, 1432)(713, 1433)(714, 1434)(715, 1435)(716, 1436)(717, 1437)(718, 1438)(719, 1439)(720, 1440)
	local type(s) :: { ( 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.2413
Graph:: simple bipartite
	v = 432 e = 720 f = 252
	degree seq :: [ 2^360, 10^72 ]

E19.2415 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 12})
Quotient :: regular
Aut^+ = ((C3 x C3 x Q8) : C3) : C2 (small group id <432, 269>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^12, (T1^2 * T2 * T1^-1 * T2 * T1^2)^2, (T2 * T1^-6)^2, (T2 * T1^5 * T2 * T1^-2)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-3 * T2 * T1^2 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 104, 91, 54, 31, 17, 8)(6, 13, 25, 43, 73, 119, 103, 128, 78, 46, 26, 14)(9, 18, 32, 55, 92, 106, 64, 105, 86, 51, 29, 16)(12, 23, 41, 69, 113, 101, 61, 102, 118, 72, 42, 24)(19, 34, 58, 97, 108, 66, 38, 65, 107, 96, 57, 33)(22, 39, 67, 109, 99, 59, 35, 60, 100, 112, 68, 40)(28, 49, 83, 132, 181, 142, 90, 143, 186, 135, 84, 50)(30, 52, 87, 138, 176, 127, 80, 129, 171, 123, 75, 44)(45, 76, 124, 172, 222, 166, 120, 167, 217, 162, 115, 70)(48, 81, 130, 177, 140, 88, 53, 89, 141, 180, 131, 82)(56, 94, 146, 195, 246, 188, 137, 154, 206, 198, 147, 95)(71, 116, 163, 218, 204, 152, 159, 213, 265, 209, 156, 110)(74, 121, 168, 223, 174, 125, 77, 126, 175, 226, 169, 122)(85, 136, 187, 244, 194, 145, 93, 144, 193, 240, 183, 133)(98, 150, 202, 259, 261, 205, 153, 111, 157, 210, 203, 151)(114, 160, 214, 269, 220, 164, 117, 165, 221, 272, 215, 161)(134, 184, 241, 299, 250, 192, 237, 295, 356, 291, 234, 178)(139, 190, 248, 307, 349, 284, 228, 179, 235, 292, 249, 191)(148, 199, 256, 316, 258, 201, 149, 200, 257, 312, 253, 196)(155, 207, 262, 322, 267, 211, 158, 212, 268, 325, 263, 208)(170, 227, 283, 347, 288, 232, 189, 247, 306, 343, 280, 224)(173, 230, 286, 351, 405, 336, 274, 225, 281, 344, 287, 231)(182, 238, 296, 360, 301, 242, 185, 243, 302, 363, 297, 239)(197, 254, 313, 371, 305, 245, 304, 370, 423, 375, 309, 251)(216, 273, 335, 403, 340, 278, 229, 285, 350, 399, 332, 270)(219, 276, 338, 407, 427, 393, 327, 271, 333, 400, 339, 277)(233, 289, 353, 388, 358, 293, 236, 294, 359, 391, 354, 290)(252, 310, 376, 415, 380, 314, 255, 315, 381, 411, 377, 311)(260, 320, 386, 412, 383, 317, 321, 387, 425, 419, 384, 318)(264, 326, 392, 373, 396, 330, 275, 337, 406, 357, 389, 323)(266, 328, 394, 355, 421, 385, 319, 324, 390, 365, 395, 329)(279, 341, 409, 382, 413, 345, 282, 346, 414, 378, 410, 342)(298, 364, 398, 331, 397, 368, 303, 369, 401, 334, 402, 361)(300, 366, 404, 428, 431, 429, 422, 362, 418, 352, 420, 367)(308, 374, 408, 379, 417, 348, 416, 426, 432, 430, 424, 372)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 104)(66, 105)(67, 110)(68, 111)(69, 114)(72, 117)(73, 120)(75, 121)(76, 125)(78, 127)(79, 128)(82, 129)(83, 133)(84, 134)(86, 137)(87, 139)(89, 142)(91, 106)(92, 143)(95, 144)(96, 148)(97, 149)(99, 150)(100, 152)(102, 119)(107, 153)(108, 154)(109, 155)(112, 158)(113, 159)(115, 160)(116, 164)(118, 166)(122, 167)(123, 170)(124, 173)(126, 176)(130, 178)(131, 179)(132, 182)(135, 185)(136, 188)(138, 189)(140, 190)(141, 192)(145, 186)(146, 196)(147, 197)(151, 200)(156, 207)(157, 211)(161, 213)(162, 216)(163, 219)(165, 222)(168, 224)(169, 225)(171, 228)(172, 229)(174, 230)(175, 232)(177, 233)(180, 236)(181, 237)(183, 238)(184, 242)(187, 245)(191, 247)(193, 251)(194, 243)(195, 252)(198, 255)(199, 205)(201, 206)(202, 208)(203, 260)(204, 212)(209, 264)(210, 266)(214, 270)(215, 271)(217, 274)(218, 275)(220, 276)(221, 278)(223, 279)(226, 282)(227, 284)(231, 285)(234, 289)(235, 293)(239, 295)(240, 298)(241, 300)(244, 303)(246, 304)(248, 290)(249, 308)(250, 294)(253, 310)(254, 314)(256, 317)(257, 318)(258, 315)(259, 319)(261, 321)(262, 323)(263, 324)(265, 327)(267, 328)(268, 330)(269, 331)(272, 334)(273, 336)(277, 337)(280, 341)(281, 345)(283, 348)(286, 342)(287, 352)(288, 346)(291, 355)(292, 357)(296, 361)(297, 362)(299, 365)(301, 366)(302, 368)(305, 369)(306, 372)(307, 373)(309, 364)(311, 370)(312, 378)(313, 379)(316, 382)(320, 329)(322, 388)(325, 391)(326, 393)(332, 397)(333, 401)(335, 404)(338, 398)(339, 408)(340, 402)(343, 411)(344, 412)(347, 415)(349, 416)(350, 418)(351, 419)(353, 394)(354, 396)(356, 422)(358, 389)(359, 390)(360, 403)(363, 399)(367, 395)(371, 400)(374, 406)(375, 407)(376, 414)(377, 424)(380, 417)(381, 409)(383, 413)(384, 410)(385, 387)(386, 420)(392, 426)(405, 428)(421, 429)(423, 430)(425, 431)(427, 432)
	local type(s) :: { ( 3^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2416
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 36 e = 216 f = 144
	degree seq :: [ 12^36 ]

E19.2416 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 12})
Quotient :: regular
Aut^+ = ((C3 x C3 x Q8) : C3) : C2 (small group id <432, 269>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1)^2, (T1^-1 * T2)^12, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 83, 84)(60, 85, 86)(61, 87, 88)(62, 89, 90)(63, 91, 92)(64, 93, 94)(65, 95, 96)(66, 97, 98)(75, 107, 108)(76, 109, 110)(77, 111, 112)(78, 113, 114)(79, 115, 116)(80, 117, 118)(81, 119, 120)(82, 121, 122)(99, 139, 140)(100, 141, 142)(101, 143, 144)(102, 145, 146)(103, 147, 148)(104, 149, 150)(105, 151, 152)(106, 153, 154)(123, 171, 170)(124, 172, 173)(125, 174, 175)(126, 176, 177)(127, 178, 179)(128, 180, 181)(129, 182, 183)(130, 184, 156)(131, 185, 186)(132, 187, 188)(133, 189, 190)(134, 191, 157)(135, 192, 193)(136, 194, 159)(137, 195, 163)(138, 196, 197)(155, 295, 208)(158, 211, 343)(160, 299, 389)(161, 238, 390)(162, 298, 198)(164, 245, 396)(165, 304, 300)(166, 230, 199)(167, 306, 285)(168, 308, 201)(169, 214, 204)(200, 213, 348)(202, 277, 376)(203, 247, 398)(205, 232, 385)(206, 316, 334)(207, 339, 309)(209, 341, 310)(210, 328, 319)(212, 345, 347)(215, 351, 352)(216, 353, 354)(217, 355, 322)(218, 357, 358)(219, 359, 361)(220, 362, 363)(221, 364, 366)(222, 367, 369)(223, 370, 329)(224, 371, 373)(225, 374, 303)(226, 333, 338)(227, 377, 378)(228, 379, 381)(229, 375, 337)(231, 279, 283)(233, 384, 386)(234, 387, 335)(235, 382, 282)(236, 297, 305)(237, 313, 325)(239, 388, 280)(240, 360, 393)(241, 252, 317)(242, 251, 265)(243, 392, 264)(244, 290, 372)(246, 327, 397)(248, 391, 301)(249, 368, 324)(250, 266, 400)(253, 258, 380)(254, 273, 402)(255, 269, 287)(256, 270, 288)(257, 403, 274)(259, 405, 286)(260, 289, 406)(261, 401, 326)(262, 404, 407)(263, 356, 408)(267, 272, 365)(268, 291, 411)(271, 412, 292)(275, 410, 383)(276, 413, 415)(278, 284, 417)(281, 349, 418)(293, 395, 312)(294, 323, 318)(296, 307, 421)(302, 314, 422)(311, 330, 409)(315, 424, 321)(320, 419, 394)(331, 346, 425)(332, 340, 430)(336, 344, 431)(342, 432, 350)(399, 414, 423)(416, 420, 426)(427, 429, 428)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 47)(32, 48)(33, 49)(34, 50)(39, 59)(40, 60)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 138)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(139, 196)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 172)(147, 204)(148, 205)(149, 206)(150, 174)(151, 207)(152, 178)(153, 185)(154, 208)(171, 269)(173, 310)(175, 312)(176, 274)(177, 315)(179, 286)(180, 224)(181, 317)(182, 272)(183, 318)(184, 319)(186, 321)(187, 252)(188, 322)(189, 323)(190, 324)(191, 326)(192, 328)(193, 329)(194, 254)(195, 331)(197, 255)(209, 302)(210, 336)(211, 292)(212, 281)(213, 260)(214, 350)(215, 263)(216, 240)(217, 246)(218, 249)(219, 233)(220, 229)(221, 277)(222, 237)(223, 235)(225, 227)(226, 256)(228, 299)(230, 383)(231, 270)(232, 243)(234, 293)(236, 288)(238, 290)(239, 261)(241, 394)(242, 313)(244, 325)(245, 266)(247, 258)(248, 275)(250, 399)(251, 327)(253, 397)(257, 297)(259, 284)(262, 320)(264, 409)(265, 384)(267, 386)(268, 308)(271, 333)(273, 307)(276, 414)(278, 416)(279, 289)(280, 406)(282, 411)(283, 377)(285, 378)(287, 295)(291, 340)(294, 311)(296, 420)(298, 347)(300, 408)(301, 403)(303, 405)(304, 404)(305, 362)(306, 345)(309, 363)(314, 367)(316, 413)(330, 429)(332, 426)(334, 393)(335, 412)(337, 402)(338, 370)(339, 341)(342, 348)(343, 346)(344, 355)(349, 359)(351, 365)(352, 424)(353, 372)(354, 425)(356, 374)(357, 380)(358, 432)(360, 375)(361, 396)(364, 388)(366, 431)(368, 382)(369, 385)(371, 391)(373, 418)(376, 392)(379, 387)(381, 422)(389, 400)(390, 407)(395, 417)(398, 415)(401, 421)(410, 430)(419, 428)(423, 427)
	local type(s) :: { ( 12^3 ) }
Outer automorphisms :: reflexible
Dual of E19.2415
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 144 e = 216 f = 36
	degree seq :: [ 3^144 ]

E19.2417 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = ((C3 x C3 x Q8) : C3) : C2 (small group id <432, 269>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1)^2, (T2^-1 * T1)^12, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 59, 60)(44, 61, 62)(45, 63, 64)(46, 65, 66)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(51, 75, 76)(52, 77, 78)(53, 79, 80)(54, 81, 82)(55, 83, 84)(56, 85, 86)(57, 87, 88)(58, 89, 90)(91, 123, 124)(92, 125, 126)(93, 127, 128)(94, 129, 130)(95, 131, 132)(96, 133, 134)(97, 135, 136)(98, 137, 138)(99, 139, 140)(100, 141, 142)(101, 143, 144)(102, 145, 146)(103, 147, 148)(104, 149, 150)(105, 151, 152)(106, 153, 154)(107, 155, 156)(108, 157, 158)(109, 159, 160)(110, 161, 162)(111, 163, 164)(112, 165, 166)(113, 167, 168)(114, 169, 170)(115, 171, 172)(116, 173, 174)(117, 175, 176)(118, 177, 178)(119, 179, 180)(120, 181, 182)(121, 183, 184)(122, 185, 186)(187, 329, 208)(188, 331, 346)(189, 333, 344)(190, 334, 375)(191, 335, 198)(192, 337, 376)(193, 319, 284)(194, 244, 199)(195, 315, 282)(196, 243, 201)(197, 340, 204)(200, 317, 283)(202, 313, 281)(203, 345, 365)(205, 347, 381)(206, 342, 338)(207, 341, 336)(209, 211, 212)(210, 213, 214)(215, 219, 220)(216, 221, 222)(217, 223, 224)(218, 225, 226)(227, 233, 234)(228, 235, 236)(229, 237, 238)(230, 239, 240)(231, 241, 242)(232, 245, 246)(247, 255, 256)(248, 257, 258)(249, 259, 260)(250, 261, 262)(251, 263, 264)(252, 265, 266)(253, 267, 268)(254, 269, 270)(271, 287, 288)(272, 289, 290)(273, 291, 292)(274, 293, 294)(275, 295, 296)(276, 297, 298)(277, 299, 300)(278, 301, 302)(279, 304, 305)(280, 309, 311)(285, 321, 323)(286, 326, 328)(303, 413, 327)(306, 417, 419)(307, 378, 360)(308, 391, 377)(310, 420, 316)(312, 368, 373)(314, 423, 320)(318, 379, 362)(322, 380, 384)(324, 370, 374)(325, 425, 421)(330, 429, 349)(332, 411, 409)(339, 385, 403)(343, 390, 405)(348, 393, 431)(350, 363, 369)(351, 355, 357)(352, 366, 372)(353, 358, 354)(356, 361, 367)(359, 364, 371)(382, 395, 399)(383, 398, 412)(386, 407, 427)(387, 392, 402)(388, 396, 410)(389, 400, 394)(397, 408, 430)(401, 422, 404)(406, 416, 415)(414, 432, 428)(418, 426, 424)(433, 434)(435, 439)(436, 440)(437, 441)(438, 442)(443, 451)(444, 452)(445, 453)(446, 454)(447, 455)(448, 456)(449, 457)(450, 458)(459, 475)(460, 476)(461, 477)(462, 478)(463, 479)(464, 480)(465, 481)(466, 482)(467, 483)(468, 484)(469, 485)(470, 486)(471, 487)(472, 488)(473, 489)(474, 490)(491, 523)(492, 524)(493, 525)(494, 526)(495, 527)(496, 528)(497, 529)(498, 530)(499, 531)(500, 532)(501, 533)(502, 534)(503, 535)(504, 536)(505, 537)(506, 538)(507, 539)(508, 540)(509, 541)(510, 542)(511, 543)(512, 544)(513, 545)(514, 546)(515, 547)(516, 548)(517, 549)(518, 550)(519, 551)(520, 552)(521, 553)(522, 554)(555, 619)(556, 602)(557, 610)(558, 620)(559, 614)(560, 621)(561, 622)(562, 623)(563, 616)(564, 624)(565, 625)(566, 626)(567, 627)(568, 628)(569, 629)(570, 588)(571, 617)(572, 630)(573, 631)(574, 632)(575, 633)(576, 634)(577, 635)(578, 589)(579, 636)(580, 637)(581, 638)(582, 591)(583, 639)(584, 595)(585, 603)(586, 640)(587, 735)(590, 738)(592, 739)(593, 740)(594, 742)(596, 744)(597, 729)(598, 661)(599, 725)(600, 660)(601, 746)(604, 748)(605, 670)(606, 727)(607, 668)(608, 723)(609, 750)(611, 752)(612, 754)(613, 756)(615, 757)(618, 759)(641, 782)(642, 784)(643, 786)(644, 788)(645, 789)(646, 791)(647, 792)(648, 794)(649, 776)(650, 797)(651, 783)(652, 800)(653, 787)(654, 802)(655, 785)(656, 769)(657, 790)(658, 774)(659, 713)(662, 807)(663, 705)(664, 809)(665, 793)(666, 779)(667, 799)(669, 795)(671, 801)(672, 751)(673, 796)(674, 812)(675, 803)(676, 798)(677, 804)(678, 730)(679, 709)(680, 814)(681, 685)(682, 815)(683, 717)(684, 817)(686, 818)(687, 805)(688, 819)(689, 810)(690, 698)(691, 806)(692, 820)(693, 811)(694, 722)(695, 808)(696, 821)(697, 765)(699, 770)(700, 822)(701, 777)(702, 743)(703, 771)(704, 825)(706, 826)(707, 780)(708, 753)(710, 829)(711, 831)(712, 833)(714, 834)(715, 836)(716, 731)(718, 838)(719, 813)(720, 840)(721, 745)(724, 741)(726, 841)(728, 839)(732, 843)(733, 766)(734, 837)(736, 816)(737, 848)(747, 856)(749, 830)(755, 858)(758, 823)(760, 828)(761, 845)(762, 844)(763, 827)(764, 852)(767, 850)(768, 842)(772, 854)(773, 851)(775, 853)(778, 857)(781, 847)(824, 861)(832, 864)(835, 849)(846, 859)(855, 863)(860, 862)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 24, 24 ), ( 24^3 ) }
Outer automorphisms :: reflexible
Dual of E19.2421
Transitivity :: ET+
Graph:: simple bipartite
	v = 360 e = 432 f = 36
	degree seq :: [ 2^216, 3^144 ]

E19.2418 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = ((C3 x C3 x Q8) : C3) : C2 (small group id <432, 269>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, (T1^-1 * T2^-1)^2, T2^12, (T2^-3 * T1 * T2^-2)^2, T2^12, T2^2 * T1^-1 * T2^-3 * T1 * T2^-2 * T1 * T2^-3 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^-3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 19, 37, 67, 117, 86, 48, 26, 13, 5)(2, 6, 14, 27, 50, 89, 148, 102, 58, 32, 16, 7)(4, 11, 22, 41, 74, 128, 170, 108, 62, 34, 17, 8)(10, 21, 40, 71, 123, 85, 143, 129, 112, 64, 35, 18)(12, 23, 43, 77, 133, 101, 116, 68, 118, 80, 44, 24)(15, 29, 53, 93, 154, 107, 147, 90, 149, 96, 54, 30)(20, 39, 70, 120, 84, 47, 83, 142, 179, 114, 65, 36)(25, 45, 81, 139, 181, 115, 66, 38, 69, 119, 82, 46)(28, 52, 92, 151, 100, 57, 99, 163, 206, 145, 87, 49)(31, 55, 97, 160, 208, 146, 88, 51, 91, 150, 98, 56)(33, 59, 103, 164, 224, 175, 127, 75, 130, 167, 104, 60)(42, 76, 131, 169, 106, 61, 105, 168, 230, 191, 126, 73)(63, 109, 171, 232, 299, 242, 187, 124, 188, 235, 172, 110)(72, 125, 189, 237, 174, 111, 173, 236, 305, 250, 186, 122)(78, 135, 196, 259, 199, 138, 180, 243, 313, 256, 193, 132)(79, 136, 197, 261, 328, 257, 194, 134, 195, 258, 198, 137)(94, 156, 216, 281, 219, 159, 207, 271, 345, 278, 213, 153)(95, 157, 217, 283, 354, 279, 214, 155, 215, 280, 218, 158)(113, 176, 238, 307, 264, 200, 140, 184, 247, 310, 239, 177)(121, 185, 248, 312, 241, 178, 240, 311, 364, 317, 246, 183)(141, 182, 245, 315, 392, 314, 244, 201, 265, 337, 266, 202)(144, 203, 267, 339, 286, 220, 161, 211, 275, 342, 268, 204)(152, 212, 276, 344, 270, 205, 269, 343, 373, 349, 274, 210)(162, 209, 273, 347, 318, 346, 272, 221, 287, 363, 288, 222)(165, 226, 292, 369, 295, 229, 190, 252, 322, 366, 289, 223)(166, 227, 293, 371, 350, 367, 290, 225, 291, 368, 294, 228)(192, 254, 324, 393, 323, 253, 296, 374, 338, 375, 297, 231)(233, 301, 379, 422, 382, 304, 249, 319, 395, 421, 376, 298)(234, 302, 380, 356, 282, 358, 377, 300, 378, 353, 381, 303)(251, 321, 397, 334, 396, 320, 383, 335, 263, 329, 384, 306)(255, 325, 399, 427, 405, 333, 262, 331, 403, 428, 400, 326)(260, 332, 404, 360, 401, 327, 391, 361, 285, 355, 402, 330)(277, 351, 413, 431, 416, 359, 284, 357, 415, 432, 414, 352)(308, 387, 341, 410, 426, 390, 316, 394, 362, 408, 423, 385)(309, 388, 425, 419, 370, 406, 336, 386, 424, 418, 398, 389)(340, 409, 372, 420, 430, 411, 348, 412, 365, 417, 429, 407)(433, 434, 436)(435, 440, 442)(437, 444, 438)(439, 447, 443)(441, 450, 452)(445, 457, 455)(446, 456, 460)(448, 463, 461)(449, 465, 453)(451, 468, 470)(454, 462, 474)(458, 479, 477)(459, 481, 483)(464, 489, 487)(466, 493, 491)(467, 495, 471)(469, 498, 500)(472, 492, 504)(473, 505, 507)(475, 478, 510)(476, 511, 484)(480, 517, 515)(482, 520, 522)(485, 488, 526)(486, 527, 508)(490, 533, 531)(494, 539, 537)(496, 543, 541)(497, 545, 501)(499, 548, 534)(502, 542, 553)(503, 554, 556)(506, 559, 561)(509, 564, 566)(512, 570, 568)(513, 516, 572)(514, 573, 567)(518, 560, 575)(519, 576, 523)(521, 579, 540)(524, 569, 584)(525, 585, 587)(528, 591, 589)(529, 532, 593)(530, 594, 588)(535, 538, 597)(536, 598, 557)(544, 607, 605)(546, 610, 608)(547, 612, 550)(549, 580, 602)(551, 609, 614)(552, 615, 616)(555, 619, 574)(558, 622, 562)(563, 590, 624)(565, 626, 595)(571, 632, 633)(577, 637, 635)(578, 639, 581)(582, 636, 641)(583, 642, 643)(586, 646, 600)(592, 652, 653)(596, 655, 657)(599, 661, 659)(601, 663, 658)(603, 606, 665)(604, 666, 617)(611, 674, 672)(613, 676, 675)(618, 681, 620)(621, 660, 683)(623, 685, 684)(625, 687, 627)(628, 634, 692)(629, 631, 694)(630, 695, 644)(638, 689, 701)(640, 704, 703)(645, 709, 647)(648, 654, 714)(649, 651, 716)(650, 717, 686)(656, 722, 668)(662, 711, 728)(664, 730, 732)(667, 736, 734)(669, 738, 733)(670, 673, 740)(671, 741, 677)(678, 748, 679)(680, 735, 750)(682, 752, 751)(688, 759, 757)(690, 758, 761)(691, 762, 763)(693, 765, 766)(696, 768, 697)(698, 770, 764)(699, 702, 772)(700, 773, 705)(706, 780, 707)(708, 767, 782)(710, 785, 783)(712, 784, 787)(713, 788, 789)(715, 791, 792)(718, 794, 719)(720, 796, 790)(721, 797, 723)(724, 729, 802)(725, 727, 804)(726, 805, 753)(731, 809, 743)(737, 799, 815)(739, 817, 818)(742, 822, 820)(744, 779, 819)(745, 746, 823)(747, 821, 825)(749, 795, 826)(754, 755, 830)(756, 793, 824)(760, 829, 775)(769, 838, 807)(771, 839, 840)(774, 843, 842)(776, 803, 841)(777, 778, 813)(781, 800, 844)(786, 836, 806)(798, 850, 849)(801, 851, 852)(808, 845, 810)(811, 816, 832)(812, 814, 847)(827, 828, 837)(831, 833, 848)(834, 846, 835)(853, 859, 863)(854, 860, 864)(855, 861, 856)(857, 858, 862)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4^3 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2422
Transitivity :: ET+
Graph:: simple bipartite
	v = 180 e = 432 f = 216
	degree seq :: [ 3^144, 12^36 ]

E19.2419 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = ((C3 x C3 x Q8) : C3) : C2 (small group id <432, 269>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^12, (T2 * T1^-6)^2, (T2 * T1^4 * T2 * T1^-1)^2, T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-3, T2 * T1^3 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 104)(66, 105)(67, 110)(68, 111)(69, 114)(72, 117)(73, 120)(75, 121)(76, 125)(78, 127)(79, 128)(82, 129)(83, 133)(84, 134)(86, 137)(87, 139)(89, 142)(91, 106)(92, 143)(95, 144)(96, 148)(97, 149)(99, 150)(100, 152)(102, 119)(107, 153)(108, 154)(109, 155)(112, 158)(113, 159)(115, 160)(116, 164)(118, 166)(122, 167)(123, 170)(124, 173)(126, 176)(130, 178)(131, 179)(132, 182)(135, 185)(136, 188)(138, 189)(140, 190)(141, 192)(145, 186)(146, 196)(147, 197)(151, 200)(156, 207)(157, 211)(161, 213)(162, 216)(163, 219)(165, 222)(168, 224)(169, 225)(171, 228)(172, 229)(174, 230)(175, 232)(177, 233)(180, 236)(181, 237)(183, 238)(184, 242)(187, 245)(191, 247)(193, 251)(194, 243)(195, 252)(198, 255)(199, 205)(201, 206)(202, 208)(203, 260)(204, 212)(209, 264)(210, 266)(214, 270)(215, 271)(217, 274)(218, 275)(220, 276)(221, 278)(223, 279)(226, 282)(227, 284)(231, 285)(234, 289)(235, 293)(239, 295)(240, 298)(241, 300)(244, 303)(246, 304)(248, 290)(249, 308)(250, 294)(253, 310)(254, 314)(256, 317)(257, 318)(258, 315)(259, 319)(261, 321)(262, 323)(263, 324)(265, 327)(267, 328)(268, 330)(269, 331)(272, 334)(273, 336)(277, 337)(280, 341)(281, 345)(283, 348)(286, 342)(287, 352)(288, 346)(291, 355)(292, 357)(296, 361)(297, 362)(299, 365)(301, 366)(302, 368)(305, 369)(306, 372)(307, 373)(309, 364)(311, 370)(312, 378)(313, 379)(316, 382)(320, 329)(322, 388)(325, 391)(326, 393)(332, 397)(333, 401)(335, 404)(338, 398)(339, 408)(340, 402)(343, 411)(344, 412)(347, 415)(349, 416)(350, 418)(351, 419)(353, 394)(354, 396)(356, 422)(358, 389)(359, 390)(360, 403)(363, 399)(367, 395)(371, 400)(374, 406)(375, 407)(376, 414)(377, 424)(380, 417)(381, 409)(383, 413)(384, 410)(385, 387)(386, 420)(392, 426)(405, 428)(421, 429)(423, 430)(425, 431)(427, 432)(433, 434, 437, 443, 453, 469, 495, 494, 468, 452, 442, 436)(435, 439, 447, 459, 479, 511, 536, 523, 486, 463, 449, 440)(438, 445, 457, 475, 505, 551, 535, 560, 510, 478, 458, 446)(441, 450, 464, 487, 524, 538, 496, 537, 518, 483, 461, 448)(444, 455, 473, 501, 545, 533, 493, 534, 550, 504, 474, 456)(451, 466, 490, 529, 540, 498, 470, 497, 539, 528, 489, 465)(454, 471, 499, 541, 531, 491, 467, 492, 532, 544, 500, 472)(460, 481, 515, 564, 613, 574, 522, 575, 618, 567, 516, 482)(462, 484, 519, 570, 608, 559, 512, 561, 603, 555, 507, 476)(477, 508, 556, 604, 654, 598, 552, 599, 649, 594, 547, 502)(480, 513, 562, 609, 572, 520, 485, 521, 573, 612, 563, 514)(488, 526, 578, 627, 678, 620, 569, 586, 638, 630, 579, 527)(503, 548, 595, 650, 636, 584, 591, 645, 697, 641, 588, 542)(506, 553, 600, 655, 606, 557, 509, 558, 607, 658, 601, 554)(517, 568, 619, 676, 626, 577, 525, 576, 625, 672, 615, 565)(530, 582, 634, 691, 693, 637, 585, 543, 589, 642, 635, 583)(546, 592, 646, 701, 652, 596, 549, 597, 653, 704, 647, 593)(566, 616, 673, 731, 682, 624, 669, 727, 788, 723, 666, 610)(571, 622, 680, 739, 781, 716, 660, 611, 667, 724, 681, 623)(580, 631, 688, 748, 690, 633, 581, 632, 689, 744, 685, 628)(587, 639, 694, 754, 699, 643, 590, 644, 700, 757, 695, 640)(602, 659, 715, 779, 720, 664, 621, 679, 738, 775, 712, 656)(605, 662, 718, 783, 837, 768, 706, 657, 713, 776, 719, 663)(614, 670, 728, 792, 733, 674, 617, 675, 734, 795, 729, 671)(629, 686, 745, 803, 737, 677, 736, 802, 855, 807, 741, 683)(648, 705, 767, 835, 772, 710, 661, 717, 782, 831, 764, 702)(651, 708, 770, 839, 859, 825, 759, 703, 765, 832, 771, 709)(665, 721, 785, 820, 790, 725, 668, 726, 791, 823, 786, 722)(684, 742, 808, 847, 812, 746, 687, 747, 813, 843, 809, 743)(692, 752, 818, 844, 815, 749, 753, 819, 857, 851, 816, 750)(696, 758, 824, 805, 828, 762, 707, 769, 838, 789, 821, 755)(698, 760, 826, 787, 853, 817, 751, 756, 822, 797, 827, 761)(711, 773, 841, 814, 845, 777, 714, 778, 846, 810, 842, 774)(730, 796, 830, 763, 829, 800, 735, 801, 833, 766, 834, 793)(732, 798, 836, 860, 863, 861, 854, 794, 850, 784, 852, 799)(740, 806, 840, 811, 849, 780, 848, 858, 864, 862, 856, 804)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 6 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E19.2420
Transitivity :: ET+
Graph:: simple bipartite
	v = 252 e = 432 f = 144
	degree seq :: [ 2^216, 12^36 ]

E19.2420 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = ((C3 x C3 x Q8) : C3) : C2 (small group id <432, 269>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1)^2, (T2^-1 * T1)^12, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 433, 3, 435, 4, 436)(2, 434, 5, 437, 6, 438)(7, 439, 11, 443, 12, 444)(8, 440, 13, 445, 14, 446)(9, 441, 15, 447, 16, 448)(10, 442, 17, 449, 18, 450)(19, 451, 27, 459, 28, 460)(20, 452, 29, 461, 30, 462)(21, 453, 31, 463, 32, 464)(22, 454, 33, 465, 34, 466)(23, 455, 35, 467, 36, 468)(24, 456, 37, 469, 38, 470)(25, 457, 39, 471, 40, 472)(26, 458, 41, 473, 42, 474)(43, 475, 59, 491, 60, 492)(44, 476, 61, 493, 62, 494)(45, 477, 63, 495, 64, 496)(46, 478, 65, 497, 66, 498)(47, 479, 67, 499, 68, 500)(48, 480, 69, 501, 70, 502)(49, 481, 71, 503, 72, 504)(50, 482, 73, 505, 74, 506)(51, 483, 75, 507, 76, 508)(52, 484, 77, 509, 78, 510)(53, 485, 79, 511, 80, 512)(54, 486, 81, 513, 82, 514)(55, 487, 83, 515, 84, 516)(56, 488, 85, 517, 86, 518)(57, 489, 87, 519, 88, 520)(58, 490, 89, 521, 90, 522)(91, 523, 123, 555, 124, 556)(92, 524, 125, 557, 126, 558)(93, 525, 127, 559, 128, 560)(94, 526, 129, 561, 130, 562)(95, 527, 131, 563, 132, 564)(96, 528, 133, 565, 134, 566)(97, 529, 135, 567, 136, 568)(98, 530, 137, 569, 138, 570)(99, 531, 139, 571, 140, 572)(100, 532, 141, 573, 142, 574)(101, 533, 143, 575, 144, 576)(102, 534, 145, 577, 146, 578)(103, 535, 147, 579, 148, 580)(104, 536, 149, 581, 150, 582)(105, 537, 151, 583, 152, 584)(106, 538, 153, 585, 154, 586)(107, 539, 155, 587, 156, 588)(108, 540, 157, 589, 158, 590)(109, 541, 159, 591, 160, 592)(110, 542, 161, 593, 162, 594)(111, 543, 163, 595, 164, 596)(112, 544, 165, 597, 166, 598)(113, 545, 167, 599, 168, 600)(114, 546, 169, 601, 170, 602)(115, 547, 171, 603, 172, 604)(116, 548, 173, 605, 174, 606)(117, 549, 175, 607, 176, 608)(118, 550, 177, 609, 178, 610)(119, 551, 179, 611, 180, 612)(120, 552, 181, 613, 182, 614)(121, 553, 183, 615, 184, 616)(122, 554, 185, 617, 186, 618)(187, 619, 333, 765, 208, 640)(188, 620, 308, 740, 427, 859)(189, 621, 229, 661, 313, 745)(190, 622, 251, 683, 277, 709)(191, 623, 335, 767, 198, 630)(192, 624, 306, 738, 310, 742)(193, 625, 336, 768, 276, 708)(194, 626, 338, 770, 199, 631)(195, 627, 339, 771, 357, 789)(196, 628, 327, 759, 201, 633)(197, 629, 324, 756, 204, 636)(200, 632, 341, 773, 430, 862)(202, 634, 244, 676, 385, 817)(203, 635, 232, 664, 328, 760)(205, 637, 317, 749, 429, 861)(206, 638, 321, 753, 325, 757)(207, 639, 344, 776, 359, 791)(209, 641, 284, 716, 286, 718)(210, 642, 295, 727, 297, 729)(211, 643, 256, 688, 258, 690)(212, 644, 246, 678, 248, 680)(213, 645, 291, 723, 350, 782)(214, 646, 250, 682, 253, 685)(215, 647, 231, 663, 234, 666)(216, 648, 260, 692, 264, 696)(217, 649, 354, 786, 266, 698)(218, 650, 225, 657, 228, 660)(219, 651, 302, 734, 358, 790)(220, 652, 263, 695, 360, 792)(221, 653, 331, 763, 342, 774)(222, 654, 252, 684, 363, 795)(223, 655, 288, 720, 292, 724)(224, 656, 365, 797, 271, 703)(226, 658, 299, 731, 303, 735)(227, 659, 369, 801, 240, 672)(230, 662, 372, 804, 279, 711)(233, 665, 375, 807, 236, 668)(235, 667, 275, 707, 278, 710)(237, 669, 334, 766, 330, 762)(238, 670, 247, 679, 380, 812)(239, 671, 265, 697, 270, 702)(241, 673, 382, 814, 301, 733)(242, 674, 257, 689, 384, 816)(243, 675, 309, 741, 379, 811)(245, 677, 386, 818, 337, 769)(249, 681, 390, 822, 343, 775)(254, 686, 395, 827, 323, 755)(255, 687, 396, 828, 355, 787)(259, 691, 400, 832, 347, 779)(261, 693, 312, 744, 394, 826)(262, 694, 267, 699, 307, 739)(268, 700, 285, 717, 406, 838)(269, 701, 383, 815, 362, 794)(272, 704, 408, 840, 290, 722)(273, 705, 296, 728, 326, 758)(274, 706, 405, 837, 378, 810)(280, 712, 346, 778, 316, 748)(281, 713, 411, 843, 340, 772)(282, 714, 413, 845, 407, 839)(283, 715, 381, 813, 361, 793)(287, 719, 402, 834, 348, 780)(289, 721, 356, 788, 377, 809)(293, 725, 401, 833, 409, 841)(294, 726, 404, 836, 370, 802)(298, 730, 322, 754, 315, 747)(300, 732, 367, 799, 389, 821)(304, 736, 424, 856, 332, 764)(305, 737, 426, 858, 345, 777)(311, 743, 392, 824, 349, 781)(314, 746, 352, 784, 371, 803)(318, 750, 391, 823, 412, 844)(319, 751, 410, 842, 376, 808)(320, 752, 415, 847, 419, 851)(329, 761, 373, 805, 399, 831)(351, 783, 366, 798, 374, 806)(353, 785, 364, 796, 368, 800)(387, 819, 416, 848, 422, 854)(388, 820, 417, 849, 432, 864)(393, 825, 421, 853, 431, 863)(397, 829, 428, 860, 420, 852)(398, 830, 414, 846, 425, 857)(403, 835, 418, 850, 423, 855)
	L = (1, 434)(2, 433)(3, 439)(4, 440)(5, 441)(6, 442)(7, 435)(8, 436)(9, 437)(10, 438)(11, 451)(12, 452)(13, 453)(14, 454)(15, 455)(16, 456)(17, 457)(18, 458)(19, 443)(20, 444)(21, 445)(22, 446)(23, 447)(24, 448)(25, 449)(26, 450)(27, 475)(28, 476)(29, 477)(30, 478)(31, 479)(32, 480)(33, 481)(34, 482)(35, 483)(36, 484)(37, 485)(38, 486)(39, 487)(40, 488)(41, 489)(42, 490)(43, 459)(44, 460)(45, 461)(46, 462)(47, 463)(48, 464)(49, 465)(50, 466)(51, 467)(52, 468)(53, 469)(54, 470)(55, 471)(56, 472)(57, 473)(58, 474)(59, 523)(60, 524)(61, 525)(62, 526)(63, 527)(64, 528)(65, 529)(66, 530)(67, 531)(68, 532)(69, 533)(70, 534)(71, 535)(72, 536)(73, 537)(74, 538)(75, 539)(76, 540)(77, 541)(78, 542)(79, 543)(80, 544)(81, 545)(82, 546)(83, 547)(84, 548)(85, 549)(86, 550)(87, 551)(88, 552)(89, 553)(90, 554)(91, 491)(92, 492)(93, 493)(94, 494)(95, 495)(96, 496)(97, 497)(98, 498)(99, 499)(100, 500)(101, 501)(102, 502)(103, 503)(104, 504)(105, 505)(106, 506)(107, 507)(108, 508)(109, 509)(110, 510)(111, 511)(112, 512)(113, 513)(114, 514)(115, 515)(116, 516)(117, 517)(118, 518)(119, 519)(120, 520)(121, 521)(122, 522)(123, 619)(124, 602)(125, 610)(126, 620)(127, 614)(128, 621)(129, 622)(130, 623)(131, 616)(132, 624)(133, 625)(134, 626)(135, 627)(136, 628)(137, 629)(138, 588)(139, 617)(140, 630)(141, 631)(142, 632)(143, 633)(144, 634)(145, 635)(146, 589)(147, 636)(148, 637)(149, 638)(150, 591)(151, 639)(152, 595)(153, 603)(154, 640)(155, 736)(156, 570)(157, 578)(158, 700)(159, 582)(160, 724)(161, 739)(162, 741)(163, 584)(164, 641)(165, 649)(166, 744)(167, 715)(168, 747)(169, 705)(170, 556)(171, 585)(172, 675)(173, 693)(174, 752)(175, 754)(176, 755)(177, 735)(178, 557)(179, 758)(180, 645)(181, 642)(182, 559)(183, 701)(184, 563)(185, 571)(186, 764)(187, 555)(188, 558)(189, 560)(190, 561)(191, 562)(192, 564)(193, 565)(194, 566)(195, 567)(196, 568)(197, 569)(198, 572)(199, 573)(200, 574)(201, 575)(202, 576)(203, 577)(204, 579)(205, 580)(206, 581)(207, 583)(208, 586)(209, 596)(210, 613)(211, 759)(212, 730)(213, 612)(214, 691)(215, 719)(216, 681)(217, 597)(218, 743)(219, 789)(220, 791)(221, 793)(222, 794)(223, 662)(224, 661)(225, 798)(226, 677)(227, 676)(228, 803)(229, 656)(230, 655)(231, 796)(232, 687)(233, 686)(234, 809)(235, 802)(236, 810)(237, 787)(238, 811)(239, 808)(240, 772)(241, 769)(242, 767)(243, 604)(244, 659)(245, 658)(246, 800)(247, 714)(248, 821)(249, 648)(250, 785)(251, 726)(252, 725)(253, 826)(254, 665)(255, 664)(256, 806)(257, 737)(258, 831)(259, 646)(260, 783)(261, 605)(262, 751)(263, 750)(264, 770)(265, 820)(266, 777)(267, 775)(268, 590)(269, 615)(270, 825)(271, 712)(272, 711)(273, 601)(274, 756)(275, 830)(276, 839)(277, 779)(278, 835)(279, 704)(280, 703)(281, 728)(282, 679)(283, 599)(284, 746)(285, 778)(286, 848)(287, 647)(288, 784)(289, 738)(290, 849)(291, 761)(292, 592)(293, 684)(294, 683)(295, 824)(296, 713)(297, 844)(298, 644)(299, 781)(300, 749)(301, 853)(302, 854)(303, 609)(304, 587)(305, 689)(306, 721)(307, 593)(308, 840)(309, 594)(310, 860)(311, 650)(312, 598)(313, 788)(314, 716)(315, 600)(316, 846)(317, 732)(318, 695)(319, 694)(320, 606)(321, 834)(322, 607)(323, 608)(324, 706)(325, 841)(326, 611)(327, 643)(328, 780)(329, 723)(330, 850)(331, 852)(332, 618)(333, 856)(334, 847)(335, 674)(336, 832)(337, 673)(338, 696)(339, 816)(340, 672)(341, 814)(342, 855)(343, 699)(344, 838)(345, 698)(346, 717)(347, 709)(348, 760)(349, 731)(350, 864)(351, 692)(352, 720)(353, 682)(354, 822)(355, 669)(356, 745)(357, 651)(358, 863)(359, 652)(360, 842)(361, 653)(362, 654)(363, 836)(364, 663)(365, 804)(366, 657)(367, 817)(368, 678)(369, 818)(370, 667)(371, 660)(372, 797)(373, 827)(374, 688)(375, 828)(376, 671)(377, 666)(378, 668)(379, 670)(380, 813)(381, 812)(382, 773)(383, 859)(384, 771)(385, 799)(386, 801)(387, 845)(388, 697)(389, 680)(390, 786)(391, 833)(392, 727)(393, 702)(394, 685)(395, 805)(396, 807)(397, 858)(398, 707)(399, 690)(400, 768)(401, 823)(402, 753)(403, 710)(404, 795)(405, 862)(406, 776)(407, 708)(408, 740)(409, 757)(410, 792)(411, 851)(412, 729)(413, 819)(414, 748)(415, 766)(416, 718)(417, 722)(418, 762)(419, 843)(420, 763)(421, 733)(422, 734)(423, 774)(424, 765)(425, 861)(426, 829)(427, 815)(428, 742)(429, 857)(430, 837)(431, 790)(432, 782)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2419
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 144 e = 432 f = 252
	degree seq :: [ 6^144 ]

E19.2421 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = ((C3 x C3 x Q8) : C3) : C2 (small group id <432, 269>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, (T1^-1 * T2^-1)^2, T2^12, (T2^-3 * T1 * T2^-2)^2, T2^12, T2^2 * T1^-1 * T2^-3 * T1 * T2^-2 * T1 * T2^-3 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^-3 ]
Map::
	R = (1, 433, 3, 435, 9, 441, 19, 451, 37, 469, 67, 499, 117, 549, 86, 518, 48, 480, 26, 458, 13, 445, 5, 437)(2, 434, 6, 438, 14, 446, 27, 459, 50, 482, 89, 521, 148, 580, 102, 534, 58, 490, 32, 464, 16, 448, 7, 439)(4, 436, 11, 443, 22, 454, 41, 473, 74, 506, 128, 560, 170, 602, 108, 540, 62, 494, 34, 466, 17, 449, 8, 440)(10, 442, 21, 453, 40, 472, 71, 503, 123, 555, 85, 517, 143, 575, 129, 561, 112, 544, 64, 496, 35, 467, 18, 450)(12, 444, 23, 455, 43, 475, 77, 509, 133, 565, 101, 533, 116, 548, 68, 500, 118, 550, 80, 512, 44, 476, 24, 456)(15, 447, 29, 461, 53, 485, 93, 525, 154, 586, 107, 539, 147, 579, 90, 522, 149, 581, 96, 528, 54, 486, 30, 462)(20, 452, 39, 471, 70, 502, 120, 552, 84, 516, 47, 479, 83, 515, 142, 574, 179, 611, 114, 546, 65, 497, 36, 468)(25, 457, 45, 477, 81, 513, 139, 571, 181, 613, 115, 547, 66, 498, 38, 470, 69, 501, 119, 551, 82, 514, 46, 478)(28, 460, 52, 484, 92, 524, 151, 583, 100, 532, 57, 489, 99, 531, 163, 595, 206, 638, 145, 577, 87, 519, 49, 481)(31, 463, 55, 487, 97, 529, 160, 592, 208, 640, 146, 578, 88, 520, 51, 483, 91, 523, 150, 582, 98, 530, 56, 488)(33, 465, 59, 491, 103, 535, 164, 596, 224, 656, 175, 607, 127, 559, 75, 507, 130, 562, 167, 599, 104, 536, 60, 492)(42, 474, 76, 508, 131, 563, 169, 601, 106, 538, 61, 493, 105, 537, 168, 600, 230, 662, 191, 623, 126, 558, 73, 505)(63, 495, 109, 541, 171, 603, 232, 664, 299, 731, 242, 674, 187, 619, 124, 556, 188, 620, 235, 667, 172, 604, 110, 542)(72, 504, 125, 557, 189, 621, 237, 669, 174, 606, 111, 543, 173, 605, 236, 668, 305, 737, 250, 682, 186, 618, 122, 554)(78, 510, 135, 567, 196, 628, 259, 691, 199, 631, 138, 570, 180, 612, 243, 675, 313, 745, 256, 688, 193, 625, 132, 564)(79, 511, 136, 568, 197, 629, 261, 693, 328, 760, 257, 689, 194, 626, 134, 566, 195, 627, 258, 690, 198, 630, 137, 569)(94, 526, 156, 588, 216, 648, 281, 713, 219, 651, 159, 591, 207, 639, 271, 703, 345, 777, 278, 710, 213, 645, 153, 585)(95, 527, 157, 589, 217, 649, 283, 715, 354, 786, 279, 711, 214, 646, 155, 587, 215, 647, 280, 712, 218, 650, 158, 590)(113, 545, 176, 608, 238, 670, 307, 739, 264, 696, 200, 632, 140, 572, 184, 616, 247, 679, 310, 742, 239, 671, 177, 609)(121, 553, 185, 617, 248, 680, 312, 744, 241, 673, 178, 610, 240, 672, 311, 743, 364, 796, 317, 749, 246, 678, 183, 615)(141, 573, 182, 614, 245, 677, 315, 747, 392, 824, 314, 746, 244, 676, 201, 633, 265, 697, 337, 769, 266, 698, 202, 634)(144, 576, 203, 635, 267, 699, 339, 771, 286, 718, 220, 652, 161, 593, 211, 643, 275, 707, 342, 774, 268, 700, 204, 636)(152, 584, 212, 644, 276, 708, 344, 776, 270, 702, 205, 637, 269, 701, 343, 775, 373, 805, 349, 781, 274, 706, 210, 642)(162, 594, 209, 641, 273, 705, 347, 779, 318, 750, 346, 778, 272, 704, 221, 653, 287, 719, 363, 795, 288, 720, 222, 654)(165, 597, 226, 658, 292, 724, 369, 801, 295, 727, 229, 661, 190, 622, 252, 684, 322, 754, 366, 798, 289, 721, 223, 655)(166, 598, 227, 659, 293, 725, 371, 803, 350, 782, 367, 799, 290, 722, 225, 657, 291, 723, 368, 800, 294, 726, 228, 660)(192, 624, 254, 686, 324, 756, 393, 825, 323, 755, 253, 685, 296, 728, 374, 806, 338, 770, 375, 807, 297, 729, 231, 663)(233, 665, 301, 733, 379, 811, 422, 854, 382, 814, 304, 736, 249, 681, 319, 751, 395, 827, 421, 853, 376, 808, 298, 730)(234, 666, 302, 734, 380, 812, 356, 788, 282, 714, 358, 790, 377, 809, 300, 732, 378, 810, 353, 785, 381, 813, 303, 735)(251, 683, 321, 753, 397, 829, 334, 766, 396, 828, 320, 752, 383, 815, 335, 767, 263, 695, 329, 761, 384, 816, 306, 738)(255, 687, 325, 757, 399, 831, 427, 859, 405, 837, 333, 765, 262, 694, 331, 763, 403, 835, 428, 860, 400, 832, 326, 758)(260, 692, 332, 764, 404, 836, 360, 792, 401, 833, 327, 759, 391, 823, 361, 793, 285, 717, 355, 787, 402, 834, 330, 762)(277, 709, 351, 783, 413, 845, 431, 863, 416, 848, 359, 791, 284, 716, 357, 789, 415, 847, 432, 864, 414, 846, 352, 784)(308, 740, 387, 819, 341, 773, 410, 842, 426, 858, 390, 822, 316, 748, 394, 826, 362, 794, 408, 840, 423, 855, 385, 817)(309, 741, 388, 820, 425, 857, 419, 851, 370, 802, 406, 838, 336, 768, 386, 818, 424, 856, 418, 850, 398, 830, 389, 821)(340, 772, 409, 841, 372, 804, 420, 852, 430, 862, 411, 843, 348, 780, 412, 844, 365, 797, 417, 849, 429, 861, 407, 839)
	L = (1, 434)(2, 436)(3, 440)(4, 433)(5, 444)(6, 437)(7, 447)(8, 442)(9, 450)(10, 435)(11, 439)(12, 438)(13, 457)(14, 456)(15, 443)(16, 463)(17, 465)(18, 452)(19, 468)(20, 441)(21, 449)(22, 462)(23, 445)(24, 460)(25, 455)(26, 479)(27, 481)(28, 446)(29, 448)(30, 474)(31, 461)(32, 489)(33, 453)(34, 493)(35, 495)(36, 470)(37, 498)(38, 451)(39, 467)(40, 492)(41, 505)(42, 454)(43, 478)(44, 511)(45, 458)(46, 510)(47, 477)(48, 517)(49, 483)(50, 520)(51, 459)(52, 476)(53, 488)(54, 527)(55, 464)(56, 526)(57, 487)(58, 533)(59, 466)(60, 504)(61, 491)(62, 539)(63, 471)(64, 543)(65, 545)(66, 500)(67, 548)(68, 469)(69, 497)(70, 542)(71, 554)(72, 472)(73, 507)(74, 559)(75, 473)(76, 486)(77, 564)(78, 475)(79, 484)(80, 570)(81, 516)(82, 573)(83, 480)(84, 572)(85, 515)(86, 560)(87, 576)(88, 522)(89, 579)(90, 482)(91, 519)(92, 569)(93, 585)(94, 485)(95, 508)(96, 591)(97, 532)(98, 594)(99, 490)(100, 593)(101, 531)(102, 499)(103, 538)(104, 598)(105, 494)(106, 597)(107, 537)(108, 521)(109, 496)(110, 553)(111, 541)(112, 607)(113, 501)(114, 610)(115, 612)(116, 534)(117, 580)(118, 547)(119, 609)(120, 615)(121, 502)(122, 556)(123, 619)(124, 503)(125, 536)(126, 622)(127, 561)(128, 575)(129, 506)(130, 558)(131, 590)(132, 566)(133, 626)(134, 509)(135, 514)(136, 512)(137, 584)(138, 568)(139, 632)(140, 513)(141, 567)(142, 555)(143, 518)(144, 523)(145, 637)(146, 639)(147, 540)(148, 602)(149, 578)(150, 636)(151, 642)(152, 524)(153, 587)(154, 646)(155, 525)(156, 530)(157, 528)(158, 624)(159, 589)(160, 652)(161, 529)(162, 588)(163, 565)(164, 655)(165, 535)(166, 557)(167, 661)(168, 586)(169, 663)(170, 549)(171, 606)(172, 666)(173, 544)(174, 665)(175, 605)(176, 546)(177, 614)(178, 608)(179, 674)(180, 550)(181, 676)(182, 551)(183, 616)(184, 552)(185, 604)(186, 681)(187, 574)(188, 618)(189, 660)(190, 562)(191, 685)(192, 563)(193, 687)(194, 595)(195, 625)(196, 634)(197, 631)(198, 695)(199, 694)(200, 633)(201, 571)(202, 692)(203, 577)(204, 641)(205, 635)(206, 689)(207, 581)(208, 704)(209, 582)(210, 643)(211, 583)(212, 630)(213, 709)(214, 600)(215, 645)(216, 654)(217, 651)(218, 717)(219, 716)(220, 653)(221, 592)(222, 714)(223, 657)(224, 722)(225, 596)(226, 601)(227, 599)(228, 683)(229, 659)(230, 711)(231, 658)(232, 730)(233, 603)(234, 617)(235, 736)(236, 656)(237, 738)(238, 673)(239, 741)(240, 611)(241, 740)(242, 672)(243, 613)(244, 675)(245, 671)(246, 748)(247, 678)(248, 735)(249, 620)(250, 752)(251, 621)(252, 623)(253, 684)(254, 650)(255, 627)(256, 759)(257, 701)(258, 758)(259, 762)(260, 628)(261, 765)(262, 629)(263, 644)(264, 768)(265, 696)(266, 770)(267, 702)(268, 773)(269, 638)(270, 772)(271, 640)(272, 703)(273, 700)(274, 780)(275, 706)(276, 767)(277, 647)(278, 785)(279, 728)(280, 784)(281, 788)(282, 648)(283, 791)(284, 649)(285, 686)(286, 794)(287, 718)(288, 796)(289, 797)(290, 668)(291, 721)(292, 729)(293, 727)(294, 805)(295, 804)(296, 662)(297, 802)(298, 732)(299, 809)(300, 664)(301, 669)(302, 667)(303, 750)(304, 734)(305, 799)(306, 733)(307, 817)(308, 670)(309, 677)(310, 822)(311, 731)(312, 779)(313, 746)(314, 823)(315, 821)(316, 679)(317, 795)(318, 680)(319, 682)(320, 751)(321, 726)(322, 755)(323, 830)(324, 793)(325, 688)(326, 761)(327, 757)(328, 829)(329, 690)(330, 763)(331, 691)(332, 698)(333, 766)(334, 693)(335, 782)(336, 697)(337, 838)(338, 764)(339, 839)(340, 699)(341, 705)(342, 843)(343, 760)(344, 803)(345, 778)(346, 813)(347, 819)(348, 707)(349, 800)(350, 708)(351, 710)(352, 787)(353, 783)(354, 836)(355, 712)(356, 789)(357, 713)(358, 720)(359, 792)(360, 715)(361, 824)(362, 719)(363, 826)(364, 790)(365, 723)(366, 850)(367, 815)(368, 844)(369, 851)(370, 724)(371, 841)(372, 725)(373, 753)(374, 786)(375, 769)(376, 845)(377, 743)(378, 808)(379, 816)(380, 814)(381, 777)(382, 847)(383, 737)(384, 832)(385, 818)(386, 739)(387, 744)(388, 742)(389, 825)(390, 820)(391, 745)(392, 756)(393, 747)(394, 749)(395, 828)(396, 837)(397, 775)(398, 754)(399, 833)(400, 811)(401, 848)(402, 846)(403, 834)(404, 806)(405, 827)(406, 807)(407, 840)(408, 771)(409, 776)(410, 774)(411, 842)(412, 781)(413, 810)(414, 835)(415, 812)(416, 831)(417, 798)(418, 849)(419, 852)(420, 801)(421, 859)(422, 860)(423, 861)(424, 855)(425, 858)(426, 862)(427, 863)(428, 864)(429, 856)(430, 857)(431, 853)(432, 854)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E19.2417
Transitivity :: ET+ VT+ AT
Graph::
	v = 36 e = 432 f = 360
	degree seq :: [ 24^36 ]

E19.2422 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = ((C3 x C3 x Q8) : C3) : C2 (small group id <432, 269>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^12, (T2 * T1^-6)^2, (T2 * T1^4 * T2 * T1^-1)^2, T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-3, T2 * T1^3 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 433, 3, 435)(2, 434, 6, 438)(4, 436, 9, 441)(5, 437, 12, 444)(7, 439, 16, 448)(8, 440, 13, 445)(10, 442, 19, 451)(11, 443, 22, 454)(14, 446, 23, 455)(15, 447, 28, 460)(17, 449, 30, 462)(18, 450, 33, 465)(20, 452, 35, 467)(21, 453, 38, 470)(24, 456, 39, 471)(25, 457, 44, 476)(26, 458, 45, 477)(27, 459, 48, 480)(29, 461, 49, 481)(31, 463, 53, 485)(32, 464, 56, 488)(34, 466, 59, 491)(36, 468, 61, 493)(37, 469, 64, 496)(40, 472, 65, 497)(41, 473, 70, 502)(42, 474, 71, 503)(43, 475, 74, 506)(46, 478, 77, 509)(47, 479, 80, 512)(50, 482, 81, 513)(51, 483, 85, 517)(52, 484, 88, 520)(54, 486, 90, 522)(55, 487, 93, 525)(57, 489, 94, 526)(58, 490, 98, 530)(60, 492, 101, 533)(62, 494, 103, 535)(63, 495, 104, 536)(66, 498, 105, 537)(67, 499, 110, 542)(68, 500, 111, 543)(69, 501, 114, 546)(72, 504, 117, 549)(73, 505, 120, 552)(75, 507, 121, 553)(76, 508, 125, 557)(78, 510, 127, 559)(79, 511, 128, 560)(82, 514, 129, 561)(83, 515, 133, 565)(84, 516, 134, 566)(86, 518, 137, 569)(87, 519, 139, 571)(89, 521, 142, 574)(91, 523, 106, 538)(92, 524, 143, 575)(95, 527, 144, 576)(96, 528, 148, 580)(97, 529, 149, 581)(99, 531, 150, 582)(100, 532, 152, 584)(102, 534, 119, 551)(107, 539, 153, 585)(108, 540, 154, 586)(109, 541, 155, 587)(112, 544, 158, 590)(113, 545, 159, 591)(115, 547, 160, 592)(116, 548, 164, 596)(118, 550, 166, 598)(122, 554, 167, 599)(123, 555, 170, 602)(124, 556, 173, 605)(126, 558, 176, 608)(130, 562, 178, 610)(131, 563, 179, 611)(132, 564, 182, 614)(135, 567, 185, 617)(136, 568, 188, 620)(138, 570, 189, 621)(140, 572, 190, 622)(141, 573, 192, 624)(145, 577, 186, 618)(146, 578, 196, 628)(147, 579, 197, 629)(151, 583, 200, 632)(156, 588, 207, 639)(157, 589, 211, 643)(161, 593, 213, 645)(162, 594, 216, 648)(163, 595, 219, 651)(165, 597, 222, 654)(168, 600, 224, 656)(169, 601, 225, 657)(171, 603, 228, 660)(172, 604, 229, 661)(174, 606, 230, 662)(175, 607, 232, 664)(177, 609, 233, 665)(180, 612, 236, 668)(181, 613, 237, 669)(183, 615, 238, 670)(184, 616, 242, 674)(187, 619, 245, 677)(191, 623, 247, 679)(193, 625, 251, 683)(194, 626, 243, 675)(195, 627, 252, 684)(198, 630, 255, 687)(199, 631, 205, 637)(201, 633, 206, 638)(202, 634, 208, 640)(203, 635, 260, 692)(204, 636, 212, 644)(209, 641, 264, 696)(210, 642, 266, 698)(214, 646, 270, 702)(215, 647, 271, 703)(217, 649, 274, 706)(218, 650, 275, 707)(220, 652, 276, 708)(221, 653, 278, 710)(223, 655, 279, 711)(226, 658, 282, 714)(227, 659, 284, 716)(231, 663, 285, 717)(234, 666, 289, 721)(235, 667, 293, 725)(239, 671, 295, 727)(240, 672, 298, 730)(241, 673, 300, 732)(244, 676, 303, 735)(246, 678, 304, 736)(248, 680, 290, 722)(249, 681, 308, 740)(250, 682, 294, 726)(253, 685, 310, 742)(254, 686, 314, 746)(256, 688, 317, 749)(257, 689, 318, 750)(258, 690, 315, 747)(259, 691, 319, 751)(261, 693, 321, 753)(262, 694, 323, 755)(263, 695, 324, 756)(265, 697, 327, 759)(267, 699, 328, 760)(268, 700, 330, 762)(269, 701, 331, 763)(272, 704, 334, 766)(273, 705, 336, 768)(277, 709, 337, 769)(280, 712, 341, 773)(281, 713, 345, 777)(283, 715, 348, 780)(286, 718, 342, 774)(287, 719, 352, 784)(288, 720, 346, 778)(291, 723, 355, 787)(292, 724, 357, 789)(296, 728, 361, 793)(297, 729, 362, 794)(299, 731, 365, 797)(301, 733, 366, 798)(302, 734, 368, 800)(305, 737, 369, 801)(306, 738, 372, 804)(307, 739, 373, 805)(309, 741, 364, 796)(311, 743, 370, 802)(312, 744, 378, 810)(313, 745, 379, 811)(316, 748, 382, 814)(320, 752, 329, 761)(322, 754, 388, 820)(325, 757, 391, 823)(326, 758, 393, 825)(332, 764, 397, 829)(333, 765, 401, 833)(335, 767, 404, 836)(338, 770, 398, 830)(339, 771, 408, 840)(340, 772, 402, 834)(343, 775, 411, 843)(344, 776, 412, 844)(347, 779, 415, 847)(349, 781, 416, 848)(350, 782, 418, 850)(351, 783, 419, 851)(353, 785, 394, 826)(354, 786, 396, 828)(356, 788, 422, 854)(358, 790, 389, 821)(359, 791, 390, 822)(360, 792, 403, 835)(363, 795, 399, 831)(367, 799, 395, 827)(371, 803, 400, 832)(374, 806, 406, 838)(375, 807, 407, 839)(376, 808, 414, 846)(377, 809, 424, 856)(380, 812, 417, 849)(381, 813, 409, 841)(383, 815, 413, 845)(384, 816, 410, 842)(385, 817, 387, 819)(386, 818, 420, 852)(392, 824, 426, 858)(405, 837, 428, 860)(421, 853, 429, 861)(423, 855, 430, 862)(425, 857, 431, 863)(427, 859, 432, 864)
	L = (1, 434)(2, 437)(3, 439)(4, 433)(5, 443)(6, 445)(7, 447)(8, 435)(9, 450)(10, 436)(11, 453)(12, 455)(13, 457)(14, 438)(15, 459)(16, 441)(17, 440)(18, 464)(19, 466)(20, 442)(21, 469)(22, 471)(23, 473)(24, 444)(25, 475)(26, 446)(27, 479)(28, 481)(29, 448)(30, 484)(31, 449)(32, 487)(33, 451)(34, 490)(35, 492)(36, 452)(37, 495)(38, 497)(39, 499)(40, 454)(41, 501)(42, 456)(43, 505)(44, 462)(45, 508)(46, 458)(47, 511)(48, 513)(49, 515)(50, 460)(51, 461)(52, 519)(53, 521)(54, 463)(55, 524)(56, 526)(57, 465)(58, 529)(59, 467)(60, 532)(61, 534)(62, 468)(63, 494)(64, 537)(65, 539)(66, 470)(67, 541)(68, 472)(69, 545)(70, 477)(71, 548)(72, 474)(73, 551)(74, 553)(75, 476)(76, 556)(77, 558)(78, 478)(79, 536)(80, 561)(81, 562)(82, 480)(83, 564)(84, 482)(85, 568)(86, 483)(87, 570)(88, 485)(89, 573)(90, 575)(91, 486)(92, 538)(93, 576)(94, 578)(95, 488)(96, 489)(97, 540)(98, 582)(99, 491)(100, 544)(101, 493)(102, 550)(103, 560)(104, 523)(105, 518)(106, 496)(107, 528)(108, 498)(109, 531)(110, 503)(111, 589)(112, 500)(113, 533)(114, 592)(115, 502)(116, 595)(117, 597)(118, 504)(119, 535)(120, 599)(121, 600)(122, 506)(123, 507)(124, 604)(125, 509)(126, 607)(127, 512)(128, 510)(129, 603)(130, 609)(131, 514)(132, 613)(133, 517)(134, 616)(135, 516)(136, 619)(137, 586)(138, 608)(139, 622)(140, 520)(141, 612)(142, 522)(143, 618)(144, 625)(145, 525)(146, 627)(147, 527)(148, 631)(149, 632)(150, 634)(151, 530)(152, 591)(153, 543)(154, 638)(155, 639)(156, 542)(157, 642)(158, 644)(159, 645)(160, 646)(161, 546)(162, 547)(163, 650)(164, 549)(165, 653)(166, 552)(167, 649)(168, 655)(169, 554)(170, 659)(171, 555)(172, 654)(173, 662)(174, 557)(175, 658)(176, 559)(177, 572)(178, 566)(179, 667)(180, 563)(181, 574)(182, 670)(183, 565)(184, 673)(185, 675)(186, 567)(187, 676)(188, 569)(189, 679)(190, 680)(191, 571)(192, 669)(193, 672)(194, 577)(195, 678)(196, 580)(197, 686)(198, 579)(199, 688)(200, 689)(201, 581)(202, 691)(203, 583)(204, 584)(205, 585)(206, 630)(207, 694)(208, 587)(209, 588)(210, 635)(211, 590)(212, 700)(213, 697)(214, 701)(215, 593)(216, 705)(217, 594)(218, 636)(219, 708)(220, 596)(221, 704)(222, 598)(223, 606)(224, 602)(225, 713)(226, 601)(227, 715)(228, 611)(229, 717)(230, 718)(231, 605)(232, 621)(233, 721)(234, 610)(235, 724)(236, 726)(237, 727)(238, 728)(239, 614)(240, 615)(241, 731)(242, 617)(243, 734)(244, 626)(245, 736)(246, 620)(247, 738)(248, 739)(249, 623)(250, 624)(251, 629)(252, 742)(253, 628)(254, 745)(255, 747)(256, 748)(257, 744)(258, 633)(259, 693)(260, 752)(261, 637)(262, 754)(263, 640)(264, 758)(265, 641)(266, 760)(267, 643)(268, 757)(269, 652)(270, 648)(271, 765)(272, 647)(273, 767)(274, 657)(275, 769)(276, 770)(277, 651)(278, 661)(279, 773)(280, 656)(281, 776)(282, 778)(283, 779)(284, 660)(285, 782)(286, 783)(287, 663)(288, 664)(289, 785)(290, 665)(291, 666)(292, 681)(293, 668)(294, 791)(295, 788)(296, 792)(297, 671)(298, 796)(299, 682)(300, 798)(301, 674)(302, 795)(303, 801)(304, 802)(305, 677)(306, 775)(307, 781)(308, 806)(309, 683)(310, 808)(311, 684)(312, 685)(313, 803)(314, 687)(315, 813)(316, 690)(317, 753)(318, 692)(319, 756)(320, 818)(321, 819)(322, 699)(323, 696)(324, 822)(325, 695)(326, 824)(327, 703)(328, 826)(329, 698)(330, 707)(331, 829)(332, 702)(333, 832)(334, 834)(335, 835)(336, 706)(337, 838)(338, 839)(339, 709)(340, 710)(341, 841)(342, 711)(343, 712)(344, 719)(345, 714)(346, 846)(347, 720)(348, 848)(349, 716)(350, 831)(351, 837)(352, 852)(353, 820)(354, 722)(355, 853)(356, 723)(357, 821)(358, 725)(359, 823)(360, 733)(361, 730)(362, 850)(363, 729)(364, 830)(365, 827)(366, 836)(367, 732)(368, 735)(369, 833)(370, 855)(371, 737)(372, 740)(373, 828)(374, 840)(375, 741)(376, 847)(377, 743)(378, 842)(379, 849)(380, 746)(381, 843)(382, 845)(383, 749)(384, 750)(385, 751)(386, 844)(387, 857)(388, 790)(389, 755)(390, 797)(391, 786)(392, 805)(393, 759)(394, 787)(395, 761)(396, 762)(397, 800)(398, 763)(399, 764)(400, 771)(401, 766)(402, 793)(403, 772)(404, 860)(405, 768)(406, 789)(407, 859)(408, 811)(409, 814)(410, 774)(411, 809)(412, 815)(413, 777)(414, 810)(415, 812)(416, 858)(417, 780)(418, 784)(419, 816)(420, 799)(421, 817)(422, 794)(423, 807)(424, 804)(425, 851)(426, 864)(427, 825)(428, 863)(429, 854)(430, 856)(431, 861)(432, 862)
	local type(s) :: { ( 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E19.2418
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 216 e = 432 f = 180
	degree seq :: [ 4^216 ]

E19.2423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3 x Q8) : C3) : C2 (small group id <432, 269>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1)^2, (Y3 * Y2^-1)^12, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 433, 2, 434)(3, 435, 7, 439)(4, 436, 8, 440)(5, 437, 9, 441)(6, 438, 10, 442)(11, 443, 19, 451)(12, 444, 20, 452)(13, 445, 21, 453)(14, 446, 22, 454)(15, 447, 23, 455)(16, 448, 24, 456)(17, 449, 25, 457)(18, 450, 26, 458)(27, 459, 43, 475)(28, 460, 44, 476)(29, 461, 45, 477)(30, 462, 46, 478)(31, 463, 47, 479)(32, 464, 48, 480)(33, 465, 49, 481)(34, 466, 50, 482)(35, 467, 51, 483)(36, 468, 52, 484)(37, 469, 53, 485)(38, 470, 54, 486)(39, 471, 55, 487)(40, 472, 56, 488)(41, 473, 57, 489)(42, 474, 58, 490)(59, 491, 91, 523)(60, 492, 92, 524)(61, 493, 93, 525)(62, 494, 94, 526)(63, 495, 95, 527)(64, 496, 96, 528)(65, 497, 97, 529)(66, 498, 98, 530)(67, 499, 99, 531)(68, 500, 100, 532)(69, 501, 101, 533)(70, 502, 102, 534)(71, 503, 103, 535)(72, 504, 104, 536)(73, 505, 105, 537)(74, 506, 106, 538)(75, 507, 107, 539)(76, 508, 108, 540)(77, 509, 109, 541)(78, 510, 110, 542)(79, 511, 111, 543)(80, 512, 112, 544)(81, 513, 113, 545)(82, 514, 114, 546)(83, 515, 115, 547)(84, 516, 116, 548)(85, 517, 117, 549)(86, 518, 118, 550)(87, 519, 119, 551)(88, 520, 120, 552)(89, 521, 121, 553)(90, 522, 122, 554)(123, 555, 187, 619)(124, 556, 170, 602)(125, 557, 178, 610)(126, 558, 188, 620)(127, 559, 182, 614)(128, 560, 189, 621)(129, 561, 190, 622)(130, 562, 191, 623)(131, 563, 184, 616)(132, 564, 192, 624)(133, 565, 193, 625)(134, 566, 194, 626)(135, 567, 195, 627)(136, 568, 196, 628)(137, 569, 197, 629)(138, 570, 156, 588)(139, 571, 185, 617)(140, 572, 198, 630)(141, 573, 199, 631)(142, 574, 200, 632)(143, 575, 201, 633)(144, 576, 202, 634)(145, 577, 203, 635)(146, 578, 157, 589)(147, 579, 204, 636)(148, 580, 205, 637)(149, 581, 206, 638)(150, 582, 159, 591)(151, 583, 207, 639)(152, 584, 163, 595)(153, 585, 171, 603)(154, 586, 208, 640)(155, 587, 306, 738)(158, 590, 292, 724)(160, 592, 293, 725)(161, 593, 311, 743)(162, 594, 313, 745)(164, 596, 211, 643)(165, 597, 213, 645)(166, 598, 316, 748)(167, 599, 265, 697)(168, 600, 318, 750)(169, 601, 303, 735)(172, 604, 264, 696)(173, 605, 242, 674)(174, 606, 322, 754)(175, 607, 323, 755)(176, 608, 324, 756)(177, 609, 304, 736)(179, 611, 327, 759)(180, 612, 217, 649)(181, 613, 209, 641)(183, 615, 294, 726)(186, 618, 331, 763)(210, 642, 281, 713)(212, 644, 272, 704)(214, 646, 241, 673)(215, 647, 267, 699)(216, 648, 237, 669)(218, 650, 276, 708)(219, 651, 229, 661)(220, 652, 244, 676)(221, 653, 223, 655)(222, 654, 254, 686)(224, 656, 369, 801)(225, 657, 335, 767)(226, 658, 235, 667)(227, 659, 373, 805)(228, 660, 344, 776)(230, 662, 378, 810)(231, 663, 381, 813)(232, 664, 239, 671)(233, 665, 383, 815)(234, 666, 386, 818)(236, 668, 284, 716)(238, 670, 295, 727)(240, 672, 307, 739)(243, 675, 319, 751)(245, 677, 397, 829)(246, 678, 399, 831)(247, 679, 400, 832)(248, 680, 402, 834)(249, 681, 393, 825)(250, 682, 405, 837)(251, 683, 270, 702)(252, 684, 407, 839)(253, 685, 396, 828)(255, 687, 401, 833)(256, 688, 345, 777)(257, 689, 411, 843)(258, 690, 412, 844)(259, 691, 389, 821)(260, 692, 409, 841)(261, 693, 279, 711)(262, 694, 337, 769)(263, 695, 341, 773)(266, 698, 419, 851)(268, 700, 309, 741)(269, 701, 282, 714)(271, 703, 332, 764)(273, 705, 278, 710)(274, 706, 343, 775)(275, 707, 421, 853)(277, 709, 286, 718)(280, 712, 305, 737)(283, 715, 423, 855)(285, 717, 408, 840)(287, 719, 425, 857)(288, 720, 426, 858)(289, 721, 391, 823)(290, 722, 387, 819)(291, 723, 338, 770)(296, 728, 384, 816)(297, 729, 336, 768)(298, 730, 328, 760)(299, 731, 430, 862)(300, 732, 325, 757)(301, 733, 403, 835)(302, 734, 346, 778)(308, 740, 417, 849)(310, 742, 424, 856)(312, 744, 431, 863)(314, 746, 395, 827)(315, 747, 376, 808)(317, 749, 352, 784)(320, 752, 374, 806)(321, 753, 420, 852)(326, 758, 429, 861)(329, 761, 413, 845)(330, 762, 359, 791)(333, 765, 432, 864)(334, 766, 414, 846)(339, 771, 394, 826)(340, 772, 428, 860)(342, 774, 364, 796)(347, 779, 416, 848)(348, 780, 355, 787)(349, 781, 427, 859)(350, 782, 406, 838)(351, 783, 382, 814)(353, 785, 372, 804)(354, 786, 390, 822)(356, 788, 358, 790)(357, 789, 368, 800)(360, 792, 404, 836)(361, 793, 377, 809)(362, 794, 365, 797)(363, 795, 388, 820)(366, 798, 392, 824)(367, 799, 418, 850)(370, 802, 380, 812)(371, 803, 379, 811)(375, 807, 398, 830)(385, 817, 410, 842)(415, 847, 422, 854)(865, 1297, 867, 1299, 868, 1300)(866, 1298, 869, 1301, 870, 1302)(871, 1303, 875, 1307, 876, 1308)(872, 1304, 877, 1309, 878, 1310)(873, 1305, 879, 1311, 880, 1312)(874, 1306, 881, 1313, 882, 1314)(883, 1315, 891, 1323, 892, 1324)(884, 1316, 893, 1325, 894, 1326)(885, 1317, 895, 1327, 896, 1328)(886, 1318, 897, 1329, 898, 1330)(887, 1319, 899, 1331, 900, 1332)(888, 1320, 901, 1333, 902, 1334)(889, 1321, 903, 1335, 904, 1336)(890, 1322, 905, 1337, 906, 1338)(907, 1339, 923, 1355, 924, 1356)(908, 1340, 925, 1357, 926, 1358)(909, 1341, 927, 1359, 928, 1360)(910, 1342, 929, 1361, 930, 1362)(911, 1343, 931, 1363, 932, 1364)(912, 1344, 933, 1365, 934, 1366)(913, 1345, 935, 1367, 936, 1368)(914, 1346, 937, 1369, 938, 1370)(915, 1347, 939, 1371, 940, 1372)(916, 1348, 941, 1373, 942, 1374)(917, 1349, 943, 1375, 944, 1376)(918, 1350, 945, 1377, 946, 1378)(919, 1351, 947, 1379, 948, 1380)(920, 1352, 949, 1381, 950, 1382)(921, 1353, 951, 1383, 952, 1384)(922, 1354, 953, 1385, 954, 1386)(955, 1387, 987, 1419, 988, 1420)(956, 1388, 989, 1421, 990, 1422)(957, 1389, 991, 1423, 992, 1424)(958, 1390, 993, 1425, 994, 1426)(959, 1391, 995, 1427, 996, 1428)(960, 1392, 997, 1429, 998, 1430)(961, 1393, 999, 1431, 1000, 1432)(962, 1394, 1001, 1433, 1002, 1434)(963, 1395, 1003, 1435, 1004, 1436)(964, 1396, 1005, 1437, 1006, 1438)(965, 1397, 1007, 1439, 1008, 1440)(966, 1398, 1009, 1441, 1010, 1442)(967, 1399, 1011, 1443, 1012, 1444)(968, 1400, 1013, 1445, 1014, 1446)(969, 1401, 1015, 1447, 1016, 1448)(970, 1402, 1017, 1449, 1018, 1450)(971, 1403, 1019, 1451, 1020, 1452)(972, 1404, 1021, 1453, 1022, 1454)(973, 1405, 1023, 1455, 1024, 1456)(974, 1406, 1025, 1457, 1026, 1458)(975, 1407, 1027, 1459, 1028, 1460)(976, 1408, 1029, 1461, 1030, 1462)(977, 1409, 1031, 1463, 1032, 1464)(978, 1410, 1033, 1465, 1034, 1466)(979, 1411, 1035, 1467, 1036, 1468)(980, 1412, 1037, 1469, 1038, 1470)(981, 1413, 1039, 1471, 1040, 1472)(982, 1414, 1041, 1473, 1042, 1474)(983, 1415, 1043, 1475, 1044, 1476)(984, 1416, 1045, 1477, 1046, 1478)(985, 1417, 1047, 1479, 1048, 1480)(986, 1418, 1049, 1481, 1050, 1482)(1051, 1483, 1197, 1629, 1072, 1504)(1052, 1484, 1139, 1571, 1204, 1636)(1053, 1485, 1093, 1525, 1179, 1611)(1054, 1486, 1115, 1547, 1178, 1610)(1055, 1487, 1201, 1633, 1062, 1494)(1056, 1488, 1173, 1605, 1176, 1608)(1057, 1489, 1203, 1635, 1174, 1606)(1058, 1490, 1205, 1637, 1063, 1495)(1059, 1491, 1206, 1638, 1233, 1665)(1060, 1492, 1145, 1577, 1065, 1497)(1061, 1493, 1144, 1576, 1068, 1500)(1064, 1496, 1198, 1630, 1211, 1643)(1066, 1498, 1108, 1540, 1241, 1673)(1067, 1499, 1096, 1528, 1193, 1625)(1069, 1501, 1142, 1574, 1286, 1718)(1070, 1502, 1185, 1617, 1190, 1622)(1071, 1503, 1212, 1644, 1237, 1669)(1073, 1505, 1161, 1593, 1163, 1595)(1074, 1506, 1120, 1552, 1122, 1554)(1075, 1507, 1150, 1582, 1152, 1584)(1076, 1508, 1110, 1542, 1112, 1544)(1077, 1509, 1218, 1650, 1151, 1583)(1078, 1510, 1114, 1546, 1117, 1549)(1079, 1511, 1095, 1527, 1098, 1530)(1080, 1512, 1124, 1556, 1127, 1559)(1081, 1513, 1133, 1565, 1224, 1656)(1082, 1514, 1089, 1521, 1092, 1524)(1083, 1515, 1226, 1658, 1162, 1594)(1084, 1516, 1227, 1659, 1121, 1553)(1085, 1517, 1229, 1661, 1189, 1621)(1086, 1518, 1230, 1662, 1111, 1543)(1087, 1519, 1154, 1586, 1157, 1589)(1088, 1520, 1138, 1570, 1235, 1667)(1090, 1522, 1165, 1597, 1168, 1600)(1091, 1523, 1107, 1539, 1239, 1671)(1094, 1526, 1147, 1579, 1244, 1676)(1097, 1529, 1102, 1534, 1249, 1681)(1099, 1531, 1252, 1684, 1253, 1685)(1100, 1532, 1231, 1663, 1116, 1548)(1101, 1533, 1254, 1686, 1255, 1687)(1103, 1535, 1256, 1688, 1257, 1689)(1104, 1536, 1228, 1660, 1126, 1558)(1105, 1537, 1258, 1690, 1259, 1691)(1106, 1538, 1180, 1612, 1260, 1692)(1109, 1541, 1172, 1604, 1184, 1616)(1113, 1545, 1213, 1645, 1194, 1626)(1118, 1550, 1232, 1664, 1188, 1620)(1119, 1551, 1149, 1581, 1160, 1592)(1123, 1555, 1278, 1710, 1166, 1598)(1125, 1557, 1153, 1585, 1175, 1607)(1128, 1560, 1177, 1609, 1271, 1703)(1129, 1561, 1282, 1714, 1242, 1674)(1130, 1562, 1219, 1651, 1156, 1588)(1131, 1563, 1284, 1716, 1277, 1709)(1132, 1564, 1240, 1672, 1250, 1682)(1134, 1566, 1274, 1706, 1261, 1693)(1135, 1567, 1191, 1623, 1167, 1599)(1136, 1568, 1187, 1619, 1182, 1614)(1137, 1569, 1225, 1657, 1266, 1698)(1140, 1572, 1200, 1632, 1267, 1699)(1141, 1573, 1251, 1683, 1208, 1640)(1143, 1575, 1262, 1694, 1265, 1697)(1146, 1578, 1221, 1653, 1276, 1708)(1148, 1580, 1236, 1668, 1288, 1720)(1155, 1587, 1164, 1596, 1285, 1717)(1158, 1590, 1292, 1724, 1247, 1679)(1159, 1591, 1222, 1654, 1293, 1725)(1169, 1601, 1280, 1712, 1264, 1696)(1170, 1602, 1296, 1728, 1195, 1627)(1171, 1603, 1246, 1678, 1289, 1721)(1181, 1613, 1192, 1624, 1283, 1715)(1183, 1615, 1220, 1652, 1294, 1726)(1186, 1618, 1291, 1723, 1214, 1646)(1196, 1628, 1270, 1702, 1275, 1707)(1199, 1631, 1209, 1641, 1273, 1705)(1202, 1634, 1268, 1700, 1272, 1704)(1207, 1639, 1217, 1649, 1290, 1722)(1210, 1642, 1243, 1675, 1248, 1680)(1215, 1647, 1295, 1727, 1287, 1719)(1216, 1648, 1279, 1711, 1281, 1713)(1223, 1655, 1234, 1666, 1238, 1670)(1245, 1677, 1263, 1695, 1269, 1701)
	L = (1, 866)(2, 865)(3, 871)(4, 872)(5, 873)(6, 874)(7, 867)(8, 868)(9, 869)(10, 870)(11, 883)(12, 884)(13, 885)(14, 886)(15, 887)(16, 888)(17, 889)(18, 890)(19, 875)(20, 876)(21, 877)(22, 878)(23, 879)(24, 880)(25, 881)(26, 882)(27, 907)(28, 908)(29, 909)(30, 910)(31, 911)(32, 912)(33, 913)(34, 914)(35, 915)(36, 916)(37, 917)(38, 918)(39, 919)(40, 920)(41, 921)(42, 922)(43, 891)(44, 892)(45, 893)(46, 894)(47, 895)(48, 896)(49, 897)(50, 898)(51, 899)(52, 900)(53, 901)(54, 902)(55, 903)(56, 904)(57, 905)(58, 906)(59, 955)(60, 956)(61, 957)(62, 958)(63, 959)(64, 960)(65, 961)(66, 962)(67, 963)(68, 964)(69, 965)(70, 966)(71, 967)(72, 968)(73, 969)(74, 970)(75, 971)(76, 972)(77, 973)(78, 974)(79, 975)(80, 976)(81, 977)(82, 978)(83, 979)(84, 980)(85, 981)(86, 982)(87, 983)(88, 984)(89, 985)(90, 986)(91, 923)(92, 924)(93, 925)(94, 926)(95, 927)(96, 928)(97, 929)(98, 930)(99, 931)(100, 932)(101, 933)(102, 934)(103, 935)(104, 936)(105, 937)(106, 938)(107, 939)(108, 940)(109, 941)(110, 942)(111, 943)(112, 944)(113, 945)(114, 946)(115, 947)(116, 948)(117, 949)(118, 950)(119, 951)(120, 952)(121, 953)(122, 954)(123, 1051)(124, 1034)(125, 1042)(126, 1052)(127, 1046)(128, 1053)(129, 1054)(130, 1055)(131, 1048)(132, 1056)(133, 1057)(134, 1058)(135, 1059)(136, 1060)(137, 1061)(138, 1020)(139, 1049)(140, 1062)(141, 1063)(142, 1064)(143, 1065)(144, 1066)(145, 1067)(146, 1021)(147, 1068)(148, 1069)(149, 1070)(150, 1023)(151, 1071)(152, 1027)(153, 1035)(154, 1072)(155, 1170)(156, 1002)(157, 1010)(158, 1156)(159, 1014)(160, 1157)(161, 1175)(162, 1177)(163, 1016)(164, 1075)(165, 1077)(166, 1180)(167, 1129)(168, 1182)(169, 1167)(170, 988)(171, 1017)(172, 1128)(173, 1106)(174, 1186)(175, 1187)(176, 1188)(177, 1168)(178, 989)(179, 1191)(180, 1081)(181, 1073)(182, 991)(183, 1158)(184, 995)(185, 1003)(186, 1195)(187, 987)(188, 990)(189, 992)(190, 993)(191, 994)(192, 996)(193, 997)(194, 998)(195, 999)(196, 1000)(197, 1001)(198, 1004)(199, 1005)(200, 1006)(201, 1007)(202, 1008)(203, 1009)(204, 1011)(205, 1012)(206, 1013)(207, 1015)(208, 1018)(209, 1045)(210, 1145)(211, 1028)(212, 1136)(213, 1029)(214, 1105)(215, 1131)(216, 1101)(217, 1044)(218, 1140)(219, 1093)(220, 1108)(221, 1087)(222, 1118)(223, 1085)(224, 1233)(225, 1199)(226, 1099)(227, 1237)(228, 1208)(229, 1083)(230, 1242)(231, 1245)(232, 1103)(233, 1247)(234, 1250)(235, 1090)(236, 1148)(237, 1080)(238, 1159)(239, 1096)(240, 1171)(241, 1078)(242, 1037)(243, 1183)(244, 1084)(245, 1261)(246, 1263)(247, 1264)(248, 1266)(249, 1257)(250, 1269)(251, 1134)(252, 1271)(253, 1260)(254, 1086)(255, 1265)(256, 1209)(257, 1275)(258, 1276)(259, 1253)(260, 1273)(261, 1143)(262, 1201)(263, 1205)(264, 1036)(265, 1031)(266, 1283)(267, 1079)(268, 1173)(269, 1146)(270, 1115)(271, 1196)(272, 1076)(273, 1142)(274, 1207)(275, 1285)(276, 1082)(277, 1150)(278, 1137)(279, 1125)(280, 1169)(281, 1074)(282, 1133)(283, 1287)(284, 1100)(285, 1272)(286, 1141)(287, 1289)(288, 1290)(289, 1255)(290, 1251)(291, 1202)(292, 1022)(293, 1024)(294, 1047)(295, 1102)(296, 1248)(297, 1200)(298, 1192)(299, 1294)(300, 1189)(301, 1267)(302, 1210)(303, 1033)(304, 1041)(305, 1144)(306, 1019)(307, 1104)(308, 1281)(309, 1132)(310, 1288)(311, 1025)(312, 1295)(313, 1026)(314, 1259)(315, 1240)(316, 1030)(317, 1216)(318, 1032)(319, 1107)(320, 1238)(321, 1284)(322, 1038)(323, 1039)(324, 1040)(325, 1164)(326, 1293)(327, 1043)(328, 1162)(329, 1277)(330, 1223)(331, 1050)(332, 1135)(333, 1296)(334, 1278)(335, 1089)(336, 1161)(337, 1126)(338, 1155)(339, 1258)(340, 1292)(341, 1127)(342, 1228)(343, 1138)(344, 1092)(345, 1120)(346, 1166)(347, 1280)(348, 1219)(349, 1291)(350, 1270)(351, 1246)(352, 1181)(353, 1236)(354, 1254)(355, 1212)(356, 1222)(357, 1232)(358, 1220)(359, 1194)(360, 1268)(361, 1241)(362, 1229)(363, 1252)(364, 1206)(365, 1226)(366, 1256)(367, 1282)(368, 1221)(369, 1088)(370, 1244)(371, 1243)(372, 1217)(373, 1091)(374, 1184)(375, 1262)(376, 1179)(377, 1225)(378, 1094)(379, 1235)(380, 1234)(381, 1095)(382, 1215)(383, 1097)(384, 1160)(385, 1274)(386, 1098)(387, 1154)(388, 1227)(389, 1123)(390, 1218)(391, 1153)(392, 1230)(393, 1113)(394, 1203)(395, 1178)(396, 1117)(397, 1109)(398, 1239)(399, 1110)(400, 1111)(401, 1119)(402, 1112)(403, 1165)(404, 1224)(405, 1114)(406, 1214)(407, 1116)(408, 1149)(409, 1124)(410, 1249)(411, 1121)(412, 1122)(413, 1193)(414, 1198)(415, 1286)(416, 1211)(417, 1172)(418, 1231)(419, 1130)(420, 1185)(421, 1139)(422, 1279)(423, 1147)(424, 1174)(425, 1151)(426, 1152)(427, 1213)(428, 1204)(429, 1190)(430, 1163)(431, 1176)(432, 1197)(433, 1297)(434, 1298)(435, 1299)(436, 1300)(437, 1301)(438, 1302)(439, 1303)(440, 1304)(441, 1305)(442, 1306)(443, 1307)(444, 1308)(445, 1309)(446, 1310)(447, 1311)(448, 1312)(449, 1313)(450, 1314)(451, 1315)(452, 1316)(453, 1317)(454, 1318)(455, 1319)(456, 1320)(457, 1321)(458, 1322)(459, 1323)(460, 1324)(461, 1325)(462, 1326)(463, 1327)(464, 1328)(465, 1329)(466, 1330)(467, 1331)(468, 1332)(469, 1333)(470, 1334)(471, 1335)(472, 1336)(473, 1337)(474, 1338)(475, 1339)(476, 1340)(477, 1341)(478, 1342)(479, 1343)(480, 1344)(481, 1345)(482, 1346)(483, 1347)(484, 1348)(485, 1349)(486, 1350)(487, 1351)(488, 1352)(489, 1353)(490, 1354)(491, 1355)(492, 1356)(493, 1357)(494, 1358)(495, 1359)(496, 1360)(497, 1361)(498, 1362)(499, 1363)(500, 1364)(501, 1365)(502, 1366)(503, 1367)(504, 1368)(505, 1369)(506, 1370)(507, 1371)(508, 1372)(509, 1373)(510, 1374)(511, 1375)(512, 1376)(513, 1377)(514, 1378)(515, 1379)(516, 1380)(517, 1381)(518, 1382)(519, 1383)(520, 1384)(521, 1385)(522, 1386)(523, 1387)(524, 1388)(525, 1389)(526, 1390)(527, 1391)(528, 1392)(529, 1393)(530, 1394)(531, 1395)(532, 1396)(533, 1397)(534, 1398)(535, 1399)(536, 1400)(537, 1401)(538, 1402)(539, 1403)(540, 1404)(541, 1405)(542, 1406)(543, 1407)(544, 1408)(545, 1409)(546, 1410)(547, 1411)(548, 1412)(549, 1413)(550, 1414)(551, 1415)(552, 1416)(553, 1417)(554, 1418)(555, 1419)(556, 1420)(557, 1421)(558, 1422)(559, 1423)(560, 1424)(561, 1425)(562, 1426)(563, 1427)(564, 1428)(565, 1429)(566, 1430)(567, 1431)(568, 1432)(569, 1433)(570, 1434)(571, 1435)(572, 1436)(573, 1437)(574, 1438)(575, 1439)(576, 1440)(577, 1441)(578, 1442)(579, 1443)(580, 1444)(581, 1445)(582, 1446)(583, 1447)(584, 1448)(585, 1449)(586, 1450)(587, 1451)(588, 1452)(589, 1453)(590, 1454)(591, 1455)(592, 1456)(593, 1457)(594, 1458)(595, 1459)(596, 1460)(597, 1461)(598, 1462)(599, 1463)(600, 1464)(601, 1465)(602, 1466)(603, 1467)(604, 1468)(605, 1469)(606, 1470)(607, 1471)(608, 1472)(609, 1473)(610, 1474)(611, 1475)(612, 1476)(613, 1477)(614, 1478)(615, 1479)(616, 1480)(617, 1481)(618, 1482)(619, 1483)(620, 1484)(621, 1485)(622, 1486)(623, 1487)(624, 1488)(625, 1489)(626, 1490)(627, 1491)(628, 1492)(629, 1493)(630, 1494)(631, 1495)(632, 1496)(633, 1497)(634, 1498)(635, 1499)(636, 1500)(637, 1501)(638, 1502)(639, 1503)(640, 1504)(641, 1505)(642, 1506)(643, 1507)(644, 1508)(645, 1509)(646, 1510)(647, 1511)(648, 1512)(649, 1513)(650, 1514)(651, 1515)(652, 1516)(653, 1517)(654, 1518)(655, 1519)(656, 1520)(657, 1521)(658, 1522)(659, 1523)(660, 1524)(661, 1525)(662, 1526)(663, 1527)(664, 1528)(665, 1529)(666, 1530)(667, 1531)(668, 1532)(669, 1533)(670, 1534)(671, 1535)(672, 1536)(673, 1537)(674, 1538)(675, 1539)(676, 1540)(677, 1541)(678, 1542)(679, 1543)(680, 1544)(681, 1545)(682, 1546)(683, 1547)(684, 1548)(685, 1549)(686, 1550)(687, 1551)(688, 1552)(689, 1553)(690, 1554)(691, 1555)(692, 1556)(693, 1557)(694, 1558)(695, 1559)(696, 1560)(697, 1561)(698, 1562)(699, 1563)(700, 1564)(701, 1565)(702, 1566)(703, 1567)(704, 1568)(705, 1569)(706, 1570)(707, 1571)(708, 1572)(709, 1573)(710, 1574)(711, 1575)(712, 1576)(713, 1577)(714, 1578)(715, 1579)(716, 1580)(717, 1581)(718, 1582)(719, 1583)(720, 1584)(721, 1585)(722, 1586)(723, 1587)(724, 1588)(725, 1589)(726, 1590)(727, 1591)(728, 1592)(729, 1593)(730, 1594)(731, 1595)(732, 1596)(733, 1597)(734, 1598)(735, 1599)(736, 1600)(737, 1601)(738, 1602)(739, 1603)(740, 1604)(741, 1605)(742, 1606)(743, 1607)(744, 1608)(745, 1609)(746, 1610)(747, 1611)(748, 1612)(749, 1613)(750, 1614)(751, 1615)(752, 1616)(753, 1617)(754, 1618)(755, 1619)(756, 1620)(757, 1621)(758, 1622)(759, 1623)(760, 1624)(761, 1625)(762, 1626)(763, 1627)(764, 1628)(765, 1629)(766, 1630)(767, 1631)(768, 1632)(769, 1633)(770, 1634)(771, 1635)(772, 1636)(773, 1637)(774, 1638)(775, 1639)(776, 1640)(777, 1641)(778, 1642)(779, 1643)(780, 1644)(781, 1645)(782, 1646)(783, 1647)(784, 1648)(785, 1649)(786, 1650)(787, 1651)(788, 1652)(789, 1653)(790, 1654)(791, 1655)(792, 1656)(793, 1657)(794, 1658)(795, 1659)(796, 1660)(797, 1661)(798, 1662)(799, 1663)(800, 1664)(801, 1665)(802, 1666)(803, 1667)(804, 1668)(805, 1669)(806, 1670)(807, 1671)(808, 1672)(809, 1673)(810, 1674)(811, 1675)(812, 1676)(813, 1677)(814, 1678)(815, 1679)(816, 1680)(817, 1681)(818, 1682)(819, 1683)(820, 1684)(821, 1685)(822, 1686)(823, 1687)(824, 1688)(825, 1689)(826, 1690)(827, 1691)(828, 1692)(829, 1693)(830, 1694)(831, 1695)(832, 1696)(833, 1697)(834, 1698)(835, 1699)(836, 1700)(837, 1701)(838, 1702)(839, 1703)(840, 1704)(841, 1705)(842, 1706)(843, 1707)(844, 1708)(845, 1709)(846, 1710)(847, 1711)(848, 1712)(849, 1713)(850, 1714)(851, 1715)(852, 1716)(853, 1717)(854, 1718)(855, 1719)(856, 1720)(857, 1721)(858, 1722)(859, 1723)(860, 1724)(861, 1725)(862, 1726)(863, 1727)(864, 1728)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2426
Graph:: bipartite
	v = 360 e = 864 f = 468
	degree seq :: [ 4^216, 6^144 ]

E19.2424 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3 x Q8) : C3) : C2 (small group id <432, 269>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y2^-1 * Y1^-1)^2, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^12, (Y2^-3 * Y1 * Y2^-2)^2, Y2^12, Y2^2 * Y1^-1 * Y2^-3 * Y1 * Y2^-2 * Y1 * Y2^-3 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1 * Y2^-3 ]
Map::
	R = (1, 433, 2, 434, 4, 436)(3, 435, 8, 440, 10, 442)(5, 437, 12, 444, 6, 438)(7, 439, 15, 447, 11, 443)(9, 441, 18, 450, 20, 452)(13, 445, 25, 457, 23, 455)(14, 446, 24, 456, 28, 460)(16, 448, 31, 463, 29, 461)(17, 449, 33, 465, 21, 453)(19, 451, 36, 468, 38, 470)(22, 454, 30, 462, 42, 474)(26, 458, 47, 479, 45, 477)(27, 459, 49, 481, 51, 483)(32, 464, 57, 489, 55, 487)(34, 466, 61, 493, 59, 491)(35, 467, 63, 495, 39, 471)(37, 469, 66, 498, 68, 500)(40, 472, 60, 492, 72, 504)(41, 473, 73, 505, 75, 507)(43, 475, 46, 478, 78, 510)(44, 476, 79, 511, 52, 484)(48, 480, 85, 517, 83, 515)(50, 482, 88, 520, 90, 522)(53, 485, 56, 488, 94, 526)(54, 486, 95, 527, 76, 508)(58, 490, 101, 533, 99, 531)(62, 494, 107, 539, 105, 537)(64, 496, 111, 543, 109, 541)(65, 497, 113, 545, 69, 501)(67, 499, 116, 548, 102, 534)(70, 502, 110, 542, 121, 553)(71, 503, 122, 554, 124, 556)(74, 506, 127, 559, 129, 561)(77, 509, 132, 564, 134, 566)(80, 512, 138, 570, 136, 568)(81, 513, 84, 516, 140, 572)(82, 514, 141, 573, 135, 567)(86, 518, 128, 560, 143, 575)(87, 519, 144, 576, 91, 523)(89, 521, 147, 579, 108, 540)(92, 524, 137, 569, 152, 584)(93, 525, 153, 585, 155, 587)(96, 528, 159, 591, 157, 589)(97, 529, 100, 532, 161, 593)(98, 530, 162, 594, 156, 588)(103, 535, 106, 538, 165, 597)(104, 536, 166, 598, 125, 557)(112, 544, 175, 607, 173, 605)(114, 546, 178, 610, 176, 608)(115, 547, 180, 612, 118, 550)(117, 549, 148, 580, 170, 602)(119, 551, 177, 609, 182, 614)(120, 552, 183, 615, 184, 616)(123, 555, 187, 619, 142, 574)(126, 558, 190, 622, 130, 562)(131, 563, 158, 590, 192, 624)(133, 565, 194, 626, 163, 595)(139, 571, 200, 632, 201, 633)(145, 577, 205, 637, 203, 635)(146, 578, 207, 639, 149, 581)(150, 582, 204, 636, 209, 641)(151, 583, 210, 642, 211, 643)(154, 586, 214, 646, 168, 600)(160, 592, 220, 652, 221, 653)(164, 596, 223, 655, 225, 657)(167, 599, 229, 661, 227, 659)(169, 601, 231, 663, 226, 658)(171, 603, 174, 606, 233, 665)(172, 604, 234, 666, 185, 617)(179, 611, 242, 674, 240, 672)(181, 613, 244, 676, 243, 675)(186, 618, 249, 681, 188, 620)(189, 621, 228, 660, 251, 683)(191, 623, 253, 685, 252, 684)(193, 625, 255, 687, 195, 627)(196, 628, 202, 634, 260, 692)(197, 629, 199, 631, 262, 694)(198, 630, 263, 695, 212, 644)(206, 638, 257, 689, 269, 701)(208, 640, 272, 704, 271, 703)(213, 645, 277, 709, 215, 647)(216, 648, 222, 654, 282, 714)(217, 649, 219, 651, 284, 716)(218, 650, 285, 717, 254, 686)(224, 656, 290, 722, 236, 668)(230, 662, 279, 711, 296, 728)(232, 664, 298, 730, 300, 732)(235, 667, 304, 736, 302, 734)(237, 669, 306, 738, 301, 733)(238, 670, 241, 673, 308, 740)(239, 671, 309, 741, 245, 677)(246, 678, 316, 748, 247, 679)(248, 680, 303, 735, 318, 750)(250, 682, 320, 752, 319, 751)(256, 688, 327, 759, 325, 757)(258, 690, 326, 758, 329, 761)(259, 691, 330, 762, 331, 763)(261, 693, 333, 765, 334, 766)(264, 696, 336, 768, 265, 697)(266, 698, 338, 770, 332, 764)(267, 699, 270, 702, 340, 772)(268, 700, 341, 773, 273, 705)(274, 706, 348, 780, 275, 707)(276, 708, 335, 767, 350, 782)(278, 710, 353, 785, 351, 783)(280, 712, 352, 784, 355, 787)(281, 713, 356, 788, 357, 789)(283, 715, 359, 791, 360, 792)(286, 718, 362, 794, 287, 719)(288, 720, 364, 796, 358, 790)(289, 721, 365, 797, 291, 723)(292, 724, 297, 729, 370, 802)(293, 725, 295, 727, 372, 804)(294, 726, 373, 805, 321, 753)(299, 731, 377, 809, 311, 743)(305, 737, 367, 799, 383, 815)(307, 739, 385, 817, 386, 818)(310, 742, 390, 822, 388, 820)(312, 744, 347, 779, 387, 819)(313, 745, 314, 746, 391, 823)(315, 747, 389, 821, 393, 825)(317, 749, 363, 795, 394, 826)(322, 754, 323, 755, 398, 830)(324, 756, 361, 793, 392, 824)(328, 760, 397, 829, 343, 775)(337, 769, 406, 838, 375, 807)(339, 771, 407, 839, 408, 840)(342, 774, 411, 843, 410, 842)(344, 776, 371, 803, 409, 841)(345, 777, 346, 778, 381, 813)(349, 781, 368, 800, 412, 844)(354, 786, 404, 836, 374, 806)(366, 798, 418, 850, 417, 849)(369, 801, 419, 851, 420, 852)(376, 808, 413, 845, 378, 810)(379, 811, 384, 816, 400, 832)(380, 812, 382, 814, 415, 847)(395, 827, 396, 828, 405, 837)(399, 831, 401, 833, 416, 848)(402, 834, 414, 846, 403, 835)(421, 853, 427, 859, 431, 863)(422, 854, 428, 860, 432, 864)(423, 855, 429, 861, 424, 856)(425, 857, 426, 858, 430, 862)(865, 1297, 867, 1299, 873, 1305, 883, 1315, 901, 1333, 931, 1363, 981, 1413, 950, 1382, 912, 1344, 890, 1322, 877, 1309, 869, 1301)(866, 1298, 870, 1302, 878, 1310, 891, 1323, 914, 1346, 953, 1385, 1012, 1444, 966, 1398, 922, 1354, 896, 1328, 880, 1312, 871, 1303)(868, 1300, 875, 1307, 886, 1318, 905, 1337, 938, 1370, 992, 1424, 1034, 1466, 972, 1404, 926, 1358, 898, 1330, 881, 1313, 872, 1304)(874, 1306, 885, 1317, 904, 1336, 935, 1367, 987, 1419, 949, 1381, 1007, 1439, 993, 1425, 976, 1408, 928, 1360, 899, 1331, 882, 1314)(876, 1308, 887, 1319, 907, 1339, 941, 1373, 997, 1429, 965, 1397, 980, 1412, 932, 1364, 982, 1414, 944, 1376, 908, 1340, 888, 1320)(879, 1311, 893, 1325, 917, 1349, 957, 1389, 1018, 1450, 971, 1403, 1011, 1443, 954, 1386, 1013, 1445, 960, 1392, 918, 1350, 894, 1326)(884, 1316, 903, 1335, 934, 1366, 984, 1416, 948, 1380, 911, 1343, 947, 1379, 1006, 1438, 1043, 1475, 978, 1410, 929, 1361, 900, 1332)(889, 1321, 909, 1341, 945, 1377, 1003, 1435, 1045, 1477, 979, 1411, 930, 1362, 902, 1334, 933, 1365, 983, 1415, 946, 1378, 910, 1342)(892, 1324, 916, 1348, 956, 1388, 1015, 1447, 964, 1396, 921, 1353, 963, 1395, 1027, 1459, 1070, 1502, 1009, 1441, 951, 1383, 913, 1345)(895, 1327, 919, 1351, 961, 1393, 1024, 1456, 1072, 1504, 1010, 1442, 952, 1384, 915, 1347, 955, 1387, 1014, 1446, 962, 1394, 920, 1352)(897, 1329, 923, 1355, 967, 1399, 1028, 1460, 1088, 1520, 1039, 1471, 991, 1423, 939, 1371, 994, 1426, 1031, 1463, 968, 1400, 924, 1356)(906, 1338, 940, 1372, 995, 1427, 1033, 1465, 970, 1402, 925, 1357, 969, 1401, 1032, 1464, 1094, 1526, 1055, 1487, 990, 1422, 937, 1369)(927, 1359, 973, 1405, 1035, 1467, 1096, 1528, 1163, 1595, 1106, 1538, 1051, 1483, 988, 1420, 1052, 1484, 1099, 1531, 1036, 1468, 974, 1406)(936, 1368, 989, 1421, 1053, 1485, 1101, 1533, 1038, 1470, 975, 1407, 1037, 1469, 1100, 1532, 1169, 1601, 1114, 1546, 1050, 1482, 986, 1418)(942, 1374, 999, 1431, 1060, 1492, 1123, 1555, 1063, 1495, 1002, 1434, 1044, 1476, 1107, 1539, 1177, 1609, 1120, 1552, 1057, 1489, 996, 1428)(943, 1375, 1000, 1432, 1061, 1493, 1125, 1557, 1192, 1624, 1121, 1553, 1058, 1490, 998, 1430, 1059, 1491, 1122, 1554, 1062, 1494, 1001, 1433)(958, 1390, 1020, 1452, 1080, 1512, 1145, 1577, 1083, 1515, 1023, 1455, 1071, 1503, 1135, 1567, 1209, 1641, 1142, 1574, 1077, 1509, 1017, 1449)(959, 1391, 1021, 1453, 1081, 1513, 1147, 1579, 1218, 1650, 1143, 1575, 1078, 1510, 1019, 1451, 1079, 1511, 1144, 1576, 1082, 1514, 1022, 1454)(977, 1409, 1040, 1472, 1102, 1534, 1171, 1603, 1128, 1560, 1064, 1496, 1004, 1436, 1048, 1480, 1111, 1543, 1174, 1606, 1103, 1535, 1041, 1473)(985, 1417, 1049, 1481, 1112, 1544, 1176, 1608, 1105, 1537, 1042, 1474, 1104, 1536, 1175, 1607, 1228, 1660, 1181, 1613, 1110, 1542, 1047, 1479)(1005, 1437, 1046, 1478, 1109, 1541, 1179, 1611, 1256, 1688, 1178, 1610, 1108, 1540, 1065, 1497, 1129, 1561, 1201, 1633, 1130, 1562, 1066, 1498)(1008, 1440, 1067, 1499, 1131, 1563, 1203, 1635, 1150, 1582, 1084, 1516, 1025, 1457, 1075, 1507, 1139, 1571, 1206, 1638, 1132, 1564, 1068, 1500)(1016, 1448, 1076, 1508, 1140, 1572, 1208, 1640, 1134, 1566, 1069, 1501, 1133, 1565, 1207, 1639, 1237, 1669, 1213, 1645, 1138, 1570, 1074, 1506)(1026, 1458, 1073, 1505, 1137, 1569, 1211, 1643, 1182, 1614, 1210, 1642, 1136, 1568, 1085, 1517, 1151, 1583, 1227, 1659, 1152, 1584, 1086, 1518)(1029, 1461, 1090, 1522, 1156, 1588, 1233, 1665, 1159, 1591, 1093, 1525, 1054, 1486, 1116, 1548, 1186, 1618, 1230, 1662, 1153, 1585, 1087, 1519)(1030, 1462, 1091, 1523, 1157, 1589, 1235, 1667, 1214, 1646, 1231, 1663, 1154, 1586, 1089, 1521, 1155, 1587, 1232, 1664, 1158, 1590, 1092, 1524)(1056, 1488, 1118, 1550, 1188, 1620, 1257, 1689, 1187, 1619, 1117, 1549, 1160, 1592, 1238, 1670, 1202, 1634, 1239, 1671, 1161, 1593, 1095, 1527)(1097, 1529, 1165, 1597, 1243, 1675, 1286, 1718, 1246, 1678, 1168, 1600, 1113, 1545, 1183, 1615, 1259, 1691, 1285, 1717, 1240, 1672, 1162, 1594)(1098, 1530, 1166, 1598, 1244, 1676, 1220, 1652, 1146, 1578, 1222, 1654, 1241, 1673, 1164, 1596, 1242, 1674, 1217, 1649, 1245, 1677, 1167, 1599)(1115, 1547, 1185, 1617, 1261, 1693, 1198, 1630, 1260, 1692, 1184, 1616, 1247, 1679, 1199, 1631, 1127, 1559, 1193, 1625, 1248, 1680, 1170, 1602)(1119, 1551, 1189, 1621, 1263, 1695, 1291, 1723, 1269, 1701, 1197, 1629, 1126, 1558, 1195, 1627, 1267, 1699, 1292, 1724, 1264, 1696, 1190, 1622)(1124, 1556, 1196, 1628, 1268, 1700, 1224, 1656, 1265, 1697, 1191, 1623, 1255, 1687, 1225, 1657, 1149, 1581, 1219, 1651, 1266, 1698, 1194, 1626)(1141, 1573, 1215, 1647, 1277, 1709, 1295, 1727, 1280, 1712, 1223, 1655, 1148, 1580, 1221, 1653, 1279, 1711, 1296, 1728, 1278, 1710, 1216, 1648)(1172, 1604, 1251, 1683, 1205, 1637, 1274, 1706, 1290, 1722, 1254, 1686, 1180, 1612, 1258, 1690, 1226, 1658, 1272, 1704, 1287, 1719, 1249, 1681)(1173, 1605, 1252, 1684, 1289, 1721, 1283, 1715, 1234, 1666, 1270, 1702, 1200, 1632, 1250, 1682, 1288, 1720, 1282, 1714, 1262, 1694, 1253, 1685)(1204, 1636, 1273, 1705, 1236, 1668, 1284, 1716, 1294, 1726, 1275, 1707, 1212, 1644, 1276, 1708, 1229, 1661, 1281, 1713, 1293, 1725, 1271, 1703)
	L = (1, 867)(2, 870)(3, 873)(4, 875)(5, 865)(6, 878)(7, 866)(8, 868)(9, 883)(10, 885)(11, 886)(12, 887)(13, 869)(14, 891)(15, 893)(16, 871)(17, 872)(18, 874)(19, 901)(20, 903)(21, 904)(22, 905)(23, 907)(24, 876)(25, 909)(26, 877)(27, 914)(28, 916)(29, 917)(30, 879)(31, 919)(32, 880)(33, 923)(34, 881)(35, 882)(36, 884)(37, 931)(38, 933)(39, 934)(40, 935)(41, 938)(42, 940)(43, 941)(44, 888)(45, 945)(46, 889)(47, 947)(48, 890)(49, 892)(50, 953)(51, 955)(52, 956)(53, 957)(54, 894)(55, 961)(56, 895)(57, 963)(58, 896)(59, 967)(60, 897)(61, 969)(62, 898)(63, 973)(64, 899)(65, 900)(66, 902)(67, 981)(68, 982)(69, 983)(70, 984)(71, 987)(72, 989)(73, 906)(74, 992)(75, 994)(76, 995)(77, 997)(78, 999)(79, 1000)(80, 908)(81, 1003)(82, 910)(83, 1006)(84, 911)(85, 1007)(86, 912)(87, 913)(88, 915)(89, 1012)(90, 1013)(91, 1014)(92, 1015)(93, 1018)(94, 1020)(95, 1021)(96, 918)(97, 1024)(98, 920)(99, 1027)(100, 921)(101, 980)(102, 922)(103, 1028)(104, 924)(105, 1032)(106, 925)(107, 1011)(108, 926)(109, 1035)(110, 927)(111, 1037)(112, 928)(113, 1040)(114, 929)(115, 930)(116, 932)(117, 950)(118, 944)(119, 946)(120, 948)(121, 1049)(122, 936)(123, 949)(124, 1052)(125, 1053)(126, 937)(127, 939)(128, 1034)(129, 976)(130, 1031)(131, 1033)(132, 942)(133, 965)(134, 1059)(135, 1060)(136, 1061)(137, 943)(138, 1044)(139, 1045)(140, 1048)(141, 1046)(142, 1043)(143, 993)(144, 1067)(145, 951)(146, 952)(147, 954)(148, 966)(149, 960)(150, 962)(151, 964)(152, 1076)(153, 958)(154, 971)(155, 1079)(156, 1080)(157, 1081)(158, 959)(159, 1071)(160, 1072)(161, 1075)(162, 1073)(163, 1070)(164, 1088)(165, 1090)(166, 1091)(167, 968)(168, 1094)(169, 970)(170, 972)(171, 1096)(172, 974)(173, 1100)(174, 975)(175, 991)(176, 1102)(177, 977)(178, 1104)(179, 978)(180, 1107)(181, 979)(182, 1109)(183, 985)(184, 1111)(185, 1112)(186, 986)(187, 988)(188, 1099)(189, 1101)(190, 1116)(191, 990)(192, 1118)(193, 996)(194, 998)(195, 1122)(196, 1123)(197, 1125)(198, 1001)(199, 1002)(200, 1004)(201, 1129)(202, 1005)(203, 1131)(204, 1008)(205, 1133)(206, 1009)(207, 1135)(208, 1010)(209, 1137)(210, 1016)(211, 1139)(212, 1140)(213, 1017)(214, 1019)(215, 1144)(216, 1145)(217, 1147)(218, 1022)(219, 1023)(220, 1025)(221, 1151)(222, 1026)(223, 1029)(224, 1039)(225, 1155)(226, 1156)(227, 1157)(228, 1030)(229, 1054)(230, 1055)(231, 1056)(232, 1163)(233, 1165)(234, 1166)(235, 1036)(236, 1169)(237, 1038)(238, 1171)(239, 1041)(240, 1175)(241, 1042)(242, 1051)(243, 1177)(244, 1065)(245, 1179)(246, 1047)(247, 1174)(248, 1176)(249, 1183)(250, 1050)(251, 1185)(252, 1186)(253, 1160)(254, 1188)(255, 1189)(256, 1057)(257, 1058)(258, 1062)(259, 1063)(260, 1196)(261, 1192)(262, 1195)(263, 1193)(264, 1064)(265, 1201)(266, 1066)(267, 1203)(268, 1068)(269, 1207)(270, 1069)(271, 1209)(272, 1085)(273, 1211)(274, 1074)(275, 1206)(276, 1208)(277, 1215)(278, 1077)(279, 1078)(280, 1082)(281, 1083)(282, 1222)(283, 1218)(284, 1221)(285, 1219)(286, 1084)(287, 1227)(288, 1086)(289, 1087)(290, 1089)(291, 1232)(292, 1233)(293, 1235)(294, 1092)(295, 1093)(296, 1238)(297, 1095)(298, 1097)(299, 1106)(300, 1242)(301, 1243)(302, 1244)(303, 1098)(304, 1113)(305, 1114)(306, 1115)(307, 1128)(308, 1251)(309, 1252)(310, 1103)(311, 1228)(312, 1105)(313, 1120)(314, 1108)(315, 1256)(316, 1258)(317, 1110)(318, 1210)(319, 1259)(320, 1247)(321, 1261)(322, 1230)(323, 1117)(324, 1257)(325, 1263)(326, 1119)(327, 1255)(328, 1121)(329, 1248)(330, 1124)(331, 1267)(332, 1268)(333, 1126)(334, 1260)(335, 1127)(336, 1250)(337, 1130)(338, 1239)(339, 1150)(340, 1273)(341, 1274)(342, 1132)(343, 1237)(344, 1134)(345, 1142)(346, 1136)(347, 1182)(348, 1276)(349, 1138)(350, 1231)(351, 1277)(352, 1141)(353, 1245)(354, 1143)(355, 1266)(356, 1146)(357, 1279)(358, 1241)(359, 1148)(360, 1265)(361, 1149)(362, 1272)(363, 1152)(364, 1181)(365, 1281)(366, 1153)(367, 1154)(368, 1158)(369, 1159)(370, 1270)(371, 1214)(372, 1284)(373, 1213)(374, 1202)(375, 1161)(376, 1162)(377, 1164)(378, 1217)(379, 1286)(380, 1220)(381, 1167)(382, 1168)(383, 1199)(384, 1170)(385, 1172)(386, 1288)(387, 1205)(388, 1289)(389, 1173)(390, 1180)(391, 1225)(392, 1178)(393, 1187)(394, 1226)(395, 1285)(396, 1184)(397, 1198)(398, 1253)(399, 1291)(400, 1190)(401, 1191)(402, 1194)(403, 1292)(404, 1224)(405, 1197)(406, 1200)(407, 1204)(408, 1287)(409, 1236)(410, 1290)(411, 1212)(412, 1229)(413, 1295)(414, 1216)(415, 1296)(416, 1223)(417, 1293)(418, 1262)(419, 1234)(420, 1294)(421, 1240)(422, 1246)(423, 1249)(424, 1282)(425, 1283)(426, 1254)(427, 1269)(428, 1264)(429, 1271)(430, 1275)(431, 1280)(432, 1278)(433, 1297)(434, 1298)(435, 1299)(436, 1300)(437, 1301)(438, 1302)(439, 1303)(440, 1304)(441, 1305)(442, 1306)(443, 1307)(444, 1308)(445, 1309)(446, 1310)(447, 1311)(448, 1312)(449, 1313)(450, 1314)(451, 1315)(452, 1316)(453, 1317)(454, 1318)(455, 1319)(456, 1320)(457, 1321)(458, 1322)(459, 1323)(460, 1324)(461, 1325)(462, 1326)(463, 1327)(464, 1328)(465, 1329)(466, 1330)(467, 1331)(468, 1332)(469, 1333)(470, 1334)(471, 1335)(472, 1336)(473, 1337)(474, 1338)(475, 1339)(476, 1340)(477, 1341)(478, 1342)(479, 1343)(480, 1344)(481, 1345)(482, 1346)(483, 1347)(484, 1348)(485, 1349)(486, 1350)(487, 1351)(488, 1352)(489, 1353)(490, 1354)(491, 1355)(492, 1356)(493, 1357)(494, 1358)(495, 1359)(496, 1360)(497, 1361)(498, 1362)(499, 1363)(500, 1364)(501, 1365)(502, 1366)(503, 1367)(504, 1368)(505, 1369)(506, 1370)(507, 1371)(508, 1372)(509, 1373)(510, 1374)(511, 1375)(512, 1376)(513, 1377)(514, 1378)(515, 1379)(516, 1380)(517, 1381)(518, 1382)(519, 1383)(520, 1384)(521, 1385)(522, 1386)(523, 1387)(524, 1388)(525, 1389)(526, 1390)(527, 1391)(528, 1392)(529, 1393)(530, 1394)(531, 1395)(532, 1396)(533, 1397)(534, 1398)(535, 1399)(536, 1400)(537, 1401)(538, 1402)(539, 1403)(540, 1404)(541, 1405)(542, 1406)(543, 1407)(544, 1408)(545, 1409)(546, 1410)(547, 1411)(548, 1412)(549, 1413)(550, 1414)(551, 1415)(552, 1416)(553, 1417)(554, 1418)(555, 1419)(556, 1420)(557, 1421)(558, 1422)(559, 1423)(560, 1424)(561, 1425)(562, 1426)(563, 1427)(564, 1428)(565, 1429)(566, 1430)(567, 1431)(568, 1432)(569, 1433)(570, 1434)(571, 1435)(572, 1436)(573, 1437)(574, 1438)(575, 1439)(576, 1440)(577, 1441)(578, 1442)(579, 1443)(580, 1444)(581, 1445)(582, 1446)(583, 1447)(584, 1448)(585, 1449)(586, 1450)(587, 1451)(588, 1452)(589, 1453)(590, 1454)(591, 1455)(592, 1456)(593, 1457)(594, 1458)(595, 1459)(596, 1460)(597, 1461)(598, 1462)(599, 1463)(600, 1464)(601, 1465)(602, 1466)(603, 1467)(604, 1468)(605, 1469)(606, 1470)(607, 1471)(608, 1472)(609, 1473)(610, 1474)(611, 1475)(612, 1476)(613, 1477)(614, 1478)(615, 1479)(616, 1480)(617, 1481)(618, 1482)(619, 1483)(620, 1484)(621, 1485)(622, 1486)(623, 1487)(624, 1488)(625, 1489)(626, 1490)(627, 1491)(628, 1492)(629, 1493)(630, 1494)(631, 1495)(632, 1496)(633, 1497)(634, 1498)(635, 1499)(636, 1500)(637, 1501)(638, 1502)(639, 1503)(640, 1504)(641, 1505)(642, 1506)(643, 1507)(644, 1508)(645, 1509)(646, 1510)(647, 1511)(648, 1512)(649, 1513)(650, 1514)(651, 1515)(652, 1516)(653, 1517)(654, 1518)(655, 1519)(656, 1520)(657, 1521)(658, 1522)(659, 1523)(660, 1524)(661, 1525)(662, 1526)(663, 1527)(664, 1528)(665, 1529)(666, 1530)(667, 1531)(668, 1532)(669, 1533)(670, 1534)(671, 1535)(672, 1536)(673, 1537)(674, 1538)(675, 1539)(676, 1540)(677, 1541)(678, 1542)(679, 1543)(680, 1544)(681, 1545)(682, 1546)(683, 1547)(684, 1548)(685, 1549)(686, 1550)(687, 1551)(688, 1552)(689, 1553)(690, 1554)(691, 1555)(692, 1556)(693, 1557)(694, 1558)(695, 1559)(696, 1560)(697, 1561)(698, 1562)(699, 1563)(700, 1564)(701, 1565)(702, 1566)(703, 1567)(704, 1568)(705, 1569)(706, 1570)(707, 1571)(708, 1572)(709, 1573)(710, 1574)(711, 1575)(712, 1576)(713, 1577)(714, 1578)(715, 1579)(716, 1580)(717, 1581)(718, 1582)(719, 1583)(720, 1584)(721, 1585)(722, 1586)(723, 1587)(724, 1588)(725, 1589)(726, 1590)(727, 1591)(728, 1592)(729, 1593)(730, 1594)(731, 1595)(732, 1596)(733, 1597)(734, 1598)(735, 1599)(736, 1600)(737, 1601)(738, 1602)(739, 1603)(740, 1604)(741, 1605)(742, 1606)(743, 1607)(744, 1608)(745, 1609)(746, 1610)(747, 1611)(748, 1612)(749, 1613)(750, 1614)(751, 1615)(752, 1616)(753, 1617)(754, 1618)(755, 1619)(756, 1620)(757, 1621)(758, 1622)(759, 1623)(760, 1624)(761, 1625)(762, 1626)(763, 1627)(764, 1628)(765, 1629)(766, 1630)(767, 1631)(768, 1632)(769, 1633)(770, 1634)(771, 1635)(772, 1636)(773, 1637)(774, 1638)(775, 1639)(776, 1640)(777, 1641)(778, 1642)(779, 1643)(780, 1644)(781, 1645)(782, 1646)(783, 1647)(784, 1648)(785, 1649)(786, 1650)(787, 1651)(788, 1652)(789, 1653)(790, 1654)(791, 1655)(792, 1656)(793, 1657)(794, 1658)(795, 1659)(796, 1660)(797, 1661)(798, 1662)(799, 1663)(800, 1664)(801, 1665)(802, 1666)(803, 1667)(804, 1668)(805, 1669)(806, 1670)(807, 1671)(808, 1672)(809, 1673)(810, 1674)(811, 1675)(812, 1676)(813, 1677)(814, 1678)(815, 1679)(816, 1680)(817, 1681)(818, 1682)(819, 1683)(820, 1684)(821, 1685)(822, 1686)(823, 1687)(824, 1688)(825, 1689)(826, 1690)(827, 1691)(828, 1692)(829, 1693)(830, 1694)(831, 1695)(832, 1696)(833, 1697)(834, 1698)(835, 1699)(836, 1700)(837, 1701)(838, 1702)(839, 1703)(840, 1704)(841, 1705)(842, 1706)(843, 1707)(844, 1708)(845, 1709)(846, 1710)(847, 1711)(848, 1712)(849, 1713)(850, 1714)(851, 1715)(852, 1716)(853, 1717)(854, 1718)(855, 1719)(856, 1720)(857, 1721)(858, 1722)(859, 1723)(860, 1724)(861, 1725)(862, 1726)(863, 1727)(864, 1728)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2425
Graph:: bipartite
	v = 180 e = 864 f = 648
	degree seq :: [ 6^144, 24^36 ]

E19.2425 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3 x Q8) : C3) : C2 (small group id <432, 269>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, (Y3^-3 * Y2 * Y3^-3)^2, (Y3^-3 * Y2 * Y3^2 * Y2 * Y3^-2)^2, Y3^2 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-3 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2, Y2 * Y3^3 * Y2 * Y3^-3 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^3, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)(865, 1297, 866, 1298)(867, 1299, 871, 1303)(868, 1300, 873, 1305)(869, 1301, 875, 1307)(870, 1302, 877, 1309)(872, 1304, 880, 1312)(874, 1306, 883, 1315)(876, 1308, 886, 1318)(878, 1310, 889, 1321)(879, 1311, 891, 1323)(881, 1313, 894, 1326)(882, 1314, 896, 1328)(884, 1316, 899, 1331)(885, 1317, 901, 1333)(887, 1319, 904, 1336)(888, 1320, 906, 1338)(890, 1322, 909, 1341)(892, 1324, 912, 1344)(893, 1325, 914, 1346)(895, 1327, 917, 1349)(897, 1329, 920, 1352)(898, 1330, 922, 1354)(900, 1332, 925, 1357)(902, 1334, 928, 1360)(903, 1335, 930, 1362)(905, 1337, 933, 1365)(907, 1339, 936, 1368)(908, 1340, 938, 1370)(910, 1342, 941, 1373)(911, 1343, 943, 1375)(913, 1345, 946, 1378)(915, 1347, 949, 1381)(916, 1348, 951, 1383)(918, 1350, 954, 1386)(919, 1351, 956, 1388)(921, 1353, 959, 1391)(923, 1355, 962, 1394)(924, 1356, 964, 1396)(926, 1358, 967, 1399)(927, 1359, 968, 1400)(929, 1361, 971, 1403)(931, 1363, 974, 1406)(932, 1364, 976, 1408)(934, 1366, 979, 1411)(935, 1367, 981, 1413)(937, 1369, 984, 1416)(939, 1371, 987, 1419)(940, 1372, 989, 1421)(942, 1374, 992, 1424)(944, 1376, 994, 1426)(945, 1377, 996, 1428)(947, 1379, 978, 1410)(948, 1380, 999, 1431)(950, 1382, 1002, 1434)(952, 1384, 1005, 1437)(953, 1385, 972, 1404)(955, 1387, 980, 1412)(957, 1389, 1009, 1441)(958, 1390, 1010, 1442)(960, 1392, 991, 1423)(961, 1393, 1013, 1445)(963, 1395, 1015, 1447)(965, 1397, 1016, 1448)(966, 1398, 985, 1417)(969, 1401, 1018, 1450)(970, 1402, 1020, 1452)(973, 1405, 1023, 1455)(975, 1407, 1026, 1458)(977, 1409, 1029, 1461)(982, 1414, 1033, 1465)(983, 1415, 1034, 1466)(986, 1418, 1037, 1469)(988, 1420, 1039, 1471)(990, 1422, 1040, 1472)(993, 1425, 1041, 1473)(995, 1427, 1044, 1476)(997, 1429, 1046, 1478)(998, 1430, 1031, 1463)(1000, 1432, 1050, 1482)(1001, 1433, 1051, 1483)(1003, 1435, 1036, 1468)(1004, 1436, 1054, 1486)(1006, 1438, 1056, 1488)(1007, 1439, 1022, 1454)(1008, 1440, 1057, 1489)(1011, 1443, 1061, 1493)(1012, 1444, 1027, 1459)(1014, 1446, 1065, 1497)(1017, 1449, 1069, 1501)(1019, 1451, 1072, 1504)(1021, 1453, 1074, 1506)(1024, 1456, 1078, 1510)(1025, 1457, 1079, 1511)(1028, 1460, 1082, 1514)(1030, 1462, 1084, 1516)(1032, 1464, 1085, 1517)(1035, 1467, 1089, 1521)(1038, 1470, 1093, 1525)(1042, 1474, 1098, 1530)(1043, 1475, 1099, 1531)(1045, 1477, 1101, 1533)(1047, 1479, 1103, 1535)(1048, 1480, 1095, 1527)(1049, 1481, 1104, 1536)(1052, 1484, 1108, 1540)(1053, 1485, 1091, 1523)(1055, 1487, 1112, 1544)(1058, 1490, 1116, 1548)(1059, 1491, 1111, 1543)(1060, 1492, 1118, 1550)(1062, 1494, 1120, 1552)(1063, 1495, 1081, 1513)(1064, 1496, 1106, 1538)(1066, 1498, 1123, 1555)(1067, 1499, 1076, 1508)(1068, 1500, 1114, 1546)(1070, 1502, 1126, 1558)(1071, 1503, 1127, 1559)(1073, 1505, 1129, 1561)(1075, 1507, 1131, 1563)(1077, 1509, 1132, 1564)(1080, 1512, 1136, 1568)(1083, 1515, 1140, 1572)(1086, 1518, 1144, 1576)(1087, 1519, 1139, 1571)(1088, 1520, 1146, 1578)(1090, 1522, 1148, 1580)(1092, 1524, 1134, 1566)(1094, 1526, 1151, 1583)(1096, 1528, 1142, 1574)(1097, 1529, 1153, 1585)(1100, 1532, 1157, 1589)(1102, 1534, 1160, 1592)(1105, 1537, 1164, 1596)(1107, 1539, 1166, 1598)(1109, 1541, 1168, 1600)(1110, 1542, 1162, 1594)(1113, 1545, 1171, 1603)(1115, 1547, 1173, 1605)(1117, 1549, 1176, 1608)(1119, 1551, 1179, 1611)(1121, 1553, 1182, 1614)(1122, 1554, 1183, 1615)(1124, 1556, 1181, 1613)(1125, 1557, 1185, 1617)(1128, 1560, 1189, 1621)(1130, 1562, 1192, 1624)(1133, 1565, 1196, 1628)(1135, 1567, 1198, 1630)(1137, 1569, 1200, 1632)(1138, 1570, 1194, 1626)(1141, 1573, 1203, 1635)(1143, 1575, 1205, 1637)(1145, 1577, 1208, 1640)(1147, 1579, 1211, 1643)(1149, 1581, 1214, 1646)(1150, 1582, 1215, 1647)(1152, 1584, 1213, 1645)(1154, 1586, 1218, 1650)(1155, 1587, 1210, 1642)(1156, 1588, 1220, 1652)(1158, 1590, 1222, 1654)(1159, 1591, 1207, 1639)(1161, 1593, 1225, 1657)(1163, 1595, 1227, 1659)(1165, 1597, 1230, 1662)(1167, 1599, 1233, 1665)(1169, 1601, 1236, 1668)(1170, 1602, 1237, 1669)(1172, 1604, 1235, 1667)(1174, 1606, 1240, 1672)(1175, 1607, 1191, 1623)(1177, 1609, 1243, 1675)(1178, 1610, 1187, 1619)(1180, 1612, 1246, 1678)(1184, 1616, 1238, 1670)(1186, 1618, 1252, 1684)(1188, 1620, 1254, 1686)(1190, 1622, 1256, 1688)(1193, 1625, 1259, 1691)(1195, 1627, 1261, 1693)(1197, 1629, 1264, 1696)(1199, 1631, 1267, 1699)(1201, 1633, 1270, 1702)(1202, 1634, 1271, 1703)(1204, 1636, 1269, 1701)(1206, 1638, 1274, 1706)(1209, 1641, 1277, 1709)(1212, 1644, 1280, 1712)(1216, 1648, 1272, 1704)(1217, 1649, 1260, 1692)(1219, 1651, 1266, 1698)(1221, 1653, 1258, 1690)(1223, 1655, 1286, 1718)(1224, 1656, 1255, 1687)(1226, 1658, 1251, 1683)(1228, 1660, 1262, 1694)(1229, 1661, 1285, 1717)(1231, 1663, 1265, 1697)(1232, 1664, 1253, 1685)(1234, 1666, 1284, 1716)(1239, 1671, 1281, 1713)(1241, 1673, 1283, 1715)(1242, 1674, 1279, 1711)(1244, 1676, 1287, 1719)(1245, 1677, 1276, 1708)(1247, 1679, 1273, 1705)(1248, 1680, 1288, 1720)(1249, 1681, 1275, 1707)(1250, 1682, 1268, 1700)(1257, 1689, 1290, 1722)(1263, 1695, 1289, 1721)(1278, 1710, 1291, 1723)(1282, 1714, 1292, 1724)(1293, 1725, 1296, 1728)(1294, 1726, 1295, 1727)
	L = (1, 867)(2, 869)(3, 872)(4, 865)(5, 876)(6, 866)(7, 877)(8, 881)(9, 882)(10, 868)(11, 873)(12, 887)(13, 888)(14, 870)(15, 871)(16, 891)(17, 895)(18, 897)(19, 898)(20, 874)(21, 875)(22, 901)(23, 905)(24, 907)(25, 908)(26, 878)(27, 911)(28, 879)(29, 880)(30, 914)(31, 918)(32, 883)(33, 921)(34, 923)(35, 924)(36, 884)(37, 927)(38, 885)(39, 886)(40, 930)(41, 934)(42, 889)(43, 937)(44, 939)(45, 940)(46, 890)(47, 944)(48, 945)(49, 892)(50, 948)(51, 893)(52, 894)(53, 951)(54, 955)(55, 896)(56, 956)(57, 960)(58, 899)(59, 963)(60, 965)(61, 966)(62, 900)(63, 969)(64, 970)(65, 902)(66, 973)(67, 903)(68, 904)(69, 976)(70, 980)(71, 906)(72, 981)(73, 985)(74, 909)(75, 988)(76, 990)(77, 991)(78, 910)(79, 912)(80, 995)(81, 997)(82, 998)(83, 913)(84, 1000)(85, 1001)(86, 915)(87, 1004)(88, 916)(89, 917)(90, 972)(91, 926)(92, 1008)(93, 919)(94, 920)(95, 1010)(96, 992)(97, 922)(98, 1013)(99, 1007)(100, 925)(101, 1006)(102, 1003)(103, 979)(104, 928)(105, 1019)(106, 1021)(107, 1022)(108, 929)(109, 1024)(110, 1025)(111, 931)(112, 1028)(113, 932)(114, 933)(115, 947)(116, 942)(117, 1032)(118, 935)(119, 936)(120, 1034)(121, 967)(122, 938)(123, 1037)(124, 1031)(125, 941)(126, 1030)(127, 1027)(128, 954)(129, 943)(130, 1041)(131, 964)(132, 946)(133, 1047)(134, 1048)(135, 949)(136, 961)(137, 1052)(138, 1053)(139, 950)(140, 957)(141, 1055)(142, 952)(143, 953)(144, 1058)(145, 1059)(146, 1060)(147, 958)(148, 959)(149, 1064)(150, 962)(151, 1065)(152, 1044)(153, 968)(154, 1069)(155, 989)(156, 971)(157, 1075)(158, 1076)(159, 974)(160, 986)(161, 1080)(162, 1081)(163, 975)(164, 982)(165, 1083)(166, 977)(167, 978)(168, 1086)(169, 1087)(170, 1088)(171, 983)(172, 984)(173, 1092)(174, 987)(175, 1093)(176, 1072)(177, 1097)(178, 993)(179, 994)(180, 1099)(181, 996)(182, 1101)(183, 1091)(184, 1090)(185, 999)(186, 1104)(187, 1002)(188, 1109)(189, 1110)(190, 1005)(191, 1113)(192, 1114)(193, 1009)(194, 1073)(195, 1117)(196, 1070)(197, 1119)(198, 1011)(199, 1012)(200, 1121)(201, 1122)(202, 1014)(203, 1015)(204, 1016)(205, 1125)(206, 1017)(207, 1018)(208, 1127)(209, 1020)(210, 1129)(211, 1063)(212, 1062)(213, 1023)(214, 1132)(215, 1026)(216, 1137)(217, 1138)(218, 1029)(219, 1141)(220, 1142)(221, 1033)(222, 1045)(223, 1145)(224, 1042)(225, 1147)(226, 1035)(227, 1036)(228, 1149)(229, 1150)(230, 1038)(231, 1039)(232, 1040)(233, 1154)(234, 1155)(235, 1156)(236, 1043)(237, 1159)(238, 1046)(239, 1160)(240, 1163)(241, 1049)(242, 1050)(243, 1051)(244, 1166)(245, 1068)(246, 1158)(247, 1054)(248, 1056)(249, 1066)(250, 1172)(251, 1057)(252, 1173)(253, 1177)(254, 1061)(255, 1180)(256, 1181)(257, 1169)(258, 1174)(259, 1184)(260, 1067)(261, 1186)(262, 1187)(263, 1188)(264, 1071)(265, 1191)(266, 1074)(267, 1192)(268, 1195)(269, 1077)(270, 1078)(271, 1079)(272, 1198)(273, 1096)(274, 1190)(275, 1082)(276, 1084)(277, 1094)(278, 1204)(279, 1085)(280, 1205)(281, 1209)(282, 1089)(283, 1212)(284, 1213)(285, 1201)(286, 1206)(287, 1216)(288, 1095)(289, 1098)(290, 1107)(291, 1219)(292, 1105)(293, 1221)(294, 1100)(295, 1223)(296, 1224)(297, 1102)(298, 1103)(299, 1228)(300, 1229)(301, 1106)(302, 1232)(303, 1108)(304, 1233)(305, 1111)(306, 1112)(307, 1237)(308, 1231)(309, 1239)(310, 1115)(311, 1116)(312, 1236)(313, 1124)(314, 1118)(315, 1120)(316, 1193)(317, 1247)(318, 1230)(319, 1123)(320, 1250)(321, 1126)(322, 1135)(323, 1253)(324, 1133)(325, 1255)(326, 1128)(327, 1257)(328, 1258)(329, 1130)(330, 1131)(331, 1262)(332, 1263)(333, 1134)(334, 1266)(335, 1136)(336, 1267)(337, 1139)(338, 1140)(339, 1271)(340, 1265)(341, 1273)(342, 1143)(343, 1144)(344, 1270)(345, 1152)(346, 1146)(347, 1148)(348, 1161)(349, 1281)(350, 1264)(351, 1151)(352, 1284)(353, 1153)(354, 1260)(355, 1252)(356, 1157)(357, 1259)(358, 1251)(359, 1278)(360, 1256)(361, 1268)(362, 1162)(363, 1164)(364, 1170)(365, 1282)(366, 1269)(367, 1165)(368, 1287)(369, 1272)(370, 1167)(371, 1168)(372, 1288)(373, 1261)(374, 1171)(375, 1277)(376, 1275)(377, 1175)(378, 1176)(379, 1279)(380, 1178)(381, 1179)(382, 1276)(383, 1274)(384, 1182)(385, 1183)(386, 1280)(387, 1185)(388, 1226)(389, 1218)(390, 1189)(391, 1225)(392, 1217)(393, 1244)(394, 1222)(395, 1234)(396, 1194)(397, 1196)(398, 1202)(399, 1248)(400, 1235)(401, 1197)(402, 1291)(403, 1238)(404, 1199)(405, 1200)(406, 1292)(407, 1227)(408, 1203)(409, 1243)(410, 1241)(411, 1207)(412, 1208)(413, 1245)(414, 1210)(415, 1211)(416, 1242)(417, 1240)(418, 1214)(419, 1215)(420, 1246)(421, 1220)(422, 1249)(423, 1293)(424, 1294)(425, 1254)(426, 1283)(427, 1295)(428, 1296)(429, 1285)(430, 1286)(431, 1289)(432, 1290)(433, 1297)(434, 1298)(435, 1299)(436, 1300)(437, 1301)(438, 1302)(439, 1303)(440, 1304)(441, 1305)(442, 1306)(443, 1307)(444, 1308)(445, 1309)(446, 1310)(447, 1311)(448, 1312)(449, 1313)(450, 1314)(451, 1315)(452, 1316)(453, 1317)(454, 1318)(455, 1319)(456, 1320)(457, 1321)(458, 1322)(459, 1323)(460, 1324)(461, 1325)(462, 1326)(463, 1327)(464, 1328)(465, 1329)(466, 1330)(467, 1331)(468, 1332)(469, 1333)(470, 1334)(471, 1335)(472, 1336)(473, 1337)(474, 1338)(475, 1339)(476, 1340)(477, 1341)(478, 1342)(479, 1343)(480, 1344)(481, 1345)(482, 1346)(483, 1347)(484, 1348)(485, 1349)(486, 1350)(487, 1351)(488, 1352)(489, 1353)(490, 1354)(491, 1355)(492, 1356)(493, 1357)(494, 1358)(495, 1359)(496, 1360)(497, 1361)(498, 1362)(499, 1363)(500, 1364)(501, 1365)(502, 1366)(503, 1367)(504, 1368)(505, 1369)(506, 1370)(507, 1371)(508, 1372)(509, 1373)(510, 1374)(511, 1375)(512, 1376)(513, 1377)(514, 1378)(515, 1379)(516, 1380)(517, 1381)(518, 1382)(519, 1383)(520, 1384)(521, 1385)(522, 1386)(523, 1387)(524, 1388)(525, 1389)(526, 1390)(527, 1391)(528, 1392)(529, 1393)(530, 1394)(531, 1395)(532, 1396)(533, 1397)(534, 1398)(535, 1399)(536, 1400)(537, 1401)(538, 1402)(539, 1403)(540, 1404)(541, 1405)(542, 1406)(543, 1407)(544, 1408)(545, 1409)(546, 1410)(547, 1411)(548, 1412)(549, 1413)(550, 1414)(551, 1415)(552, 1416)(553, 1417)(554, 1418)(555, 1419)(556, 1420)(557, 1421)(558, 1422)(559, 1423)(560, 1424)(561, 1425)(562, 1426)(563, 1427)(564, 1428)(565, 1429)(566, 1430)(567, 1431)(568, 1432)(569, 1433)(570, 1434)(571, 1435)(572, 1436)(573, 1437)(574, 1438)(575, 1439)(576, 1440)(577, 1441)(578, 1442)(579, 1443)(580, 1444)(581, 1445)(582, 1446)(583, 1447)(584, 1448)(585, 1449)(586, 1450)(587, 1451)(588, 1452)(589, 1453)(590, 1454)(591, 1455)(592, 1456)(593, 1457)(594, 1458)(595, 1459)(596, 1460)(597, 1461)(598, 1462)(599, 1463)(600, 1464)(601, 1465)(602, 1466)(603, 1467)(604, 1468)(605, 1469)(606, 1470)(607, 1471)(608, 1472)(609, 1473)(610, 1474)(611, 1475)(612, 1476)(613, 1477)(614, 1478)(615, 1479)(616, 1480)(617, 1481)(618, 1482)(619, 1483)(620, 1484)(621, 1485)(622, 1486)(623, 1487)(624, 1488)(625, 1489)(626, 1490)(627, 1491)(628, 1492)(629, 1493)(630, 1494)(631, 1495)(632, 1496)(633, 1497)(634, 1498)(635, 1499)(636, 1500)(637, 1501)(638, 1502)(639, 1503)(640, 1504)(641, 1505)(642, 1506)(643, 1507)(644, 1508)(645, 1509)(646, 1510)(647, 1511)(648, 1512)(649, 1513)(650, 1514)(651, 1515)(652, 1516)(653, 1517)(654, 1518)(655, 1519)(656, 1520)(657, 1521)(658, 1522)(659, 1523)(660, 1524)(661, 1525)(662, 1526)(663, 1527)(664, 1528)(665, 1529)(666, 1530)(667, 1531)(668, 1532)(669, 1533)(670, 1534)(671, 1535)(672, 1536)(673, 1537)(674, 1538)(675, 1539)(676, 1540)(677, 1541)(678, 1542)(679, 1543)(680, 1544)(681, 1545)(682, 1546)(683, 1547)(684, 1548)(685, 1549)(686, 1550)(687, 1551)(688, 1552)(689, 1553)(690, 1554)(691, 1555)(692, 1556)(693, 1557)(694, 1558)(695, 1559)(696, 1560)(697, 1561)(698, 1562)(699, 1563)(700, 1564)(701, 1565)(702, 1566)(703, 1567)(704, 1568)(705, 1569)(706, 1570)(707, 1571)(708, 1572)(709, 1573)(710, 1574)(711, 1575)(712, 1576)(713, 1577)(714, 1578)(715, 1579)(716, 1580)(717, 1581)(718, 1582)(719, 1583)(720, 1584)(721, 1585)(722, 1586)(723, 1587)(724, 1588)(725, 1589)(726, 1590)(727, 1591)(728, 1592)(729, 1593)(730, 1594)(731, 1595)(732, 1596)(733, 1597)(734, 1598)(735, 1599)(736, 1600)(737, 1601)(738, 1602)(739, 1603)(740, 1604)(741, 1605)(742, 1606)(743, 1607)(744, 1608)(745, 1609)(746, 1610)(747, 1611)(748, 1612)(749, 1613)(750, 1614)(751, 1615)(752, 1616)(753, 1617)(754, 1618)(755, 1619)(756, 1620)(757, 1621)(758, 1622)(759, 1623)(760, 1624)(761, 1625)(762, 1626)(763, 1627)(764, 1628)(765, 1629)(766, 1630)(767, 1631)(768, 1632)(769, 1633)(770, 1634)(771, 1635)(772, 1636)(773, 1637)(774, 1638)(775, 1639)(776, 1640)(777, 1641)(778, 1642)(779, 1643)(780, 1644)(781, 1645)(782, 1646)(783, 1647)(784, 1648)(785, 1649)(786, 1650)(787, 1651)(788, 1652)(789, 1653)(790, 1654)(791, 1655)(792, 1656)(793, 1657)(794, 1658)(795, 1659)(796, 1660)(797, 1661)(798, 1662)(799, 1663)(800, 1664)(801, 1665)(802, 1666)(803, 1667)(804, 1668)(805, 1669)(806, 1670)(807, 1671)(808, 1672)(809, 1673)(810, 1674)(811, 1675)(812, 1676)(813, 1677)(814, 1678)(815, 1679)(816, 1680)(817, 1681)(818, 1682)(819, 1683)(820, 1684)(821, 1685)(822, 1686)(823, 1687)(824, 1688)(825, 1689)(826, 1690)(827, 1691)(828, 1692)(829, 1693)(830, 1694)(831, 1695)(832, 1696)(833, 1697)(834, 1698)(835, 1699)(836, 1700)(837, 1701)(838, 1702)(839, 1703)(840, 1704)(841, 1705)(842, 1706)(843, 1707)(844, 1708)(845, 1709)(846, 1710)(847, 1711)(848, 1712)(849, 1713)(850, 1714)(851, 1715)(852, 1716)(853, 1717)(854, 1718)(855, 1719)(856, 1720)(857, 1721)(858, 1722)(859, 1723)(860, 1724)(861, 1725)(862, 1726)(863, 1727)(864, 1728)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2424
Graph:: simple bipartite
	v = 648 e = 864 f = 180
	degree seq :: [ 2^432, 4^216 ]

E19.2426 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3 x Q8) : C3) : C2 (small group id <432, 269>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^3, Y1^12, (Y3 * Y1^-6)^2, (Y1 * Y3 * Y1^-4 * Y3)^2, (Y1^-3 * Y3 * Y1^2 * Y3 * Y1^-2)^2, Y3 * Y1^3 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^3 * Y3 * Y1^-3 * Y3 * Y1^-3 * Y3 * Y1^-3 ]
Map:: polytopal
	R = (1, 433, 2, 434, 5, 437, 11, 443, 21, 453, 37, 469, 63, 495, 62, 494, 36, 468, 20, 452, 10, 442, 4, 436)(3, 435, 7, 439, 15, 447, 27, 459, 47, 479, 79, 511, 104, 536, 91, 523, 54, 486, 31, 463, 17, 449, 8, 440)(6, 438, 13, 445, 25, 457, 43, 475, 73, 505, 119, 551, 103, 535, 128, 560, 78, 510, 46, 478, 26, 458, 14, 446)(9, 441, 18, 450, 32, 464, 55, 487, 92, 524, 106, 538, 64, 496, 105, 537, 86, 518, 51, 483, 29, 461, 16, 448)(12, 444, 23, 455, 41, 473, 69, 501, 113, 545, 101, 533, 61, 493, 102, 534, 118, 550, 72, 504, 42, 474, 24, 456)(19, 451, 34, 466, 58, 490, 97, 529, 108, 540, 66, 498, 38, 470, 65, 497, 107, 539, 96, 528, 57, 489, 33, 465)(22, 454, 39, 471, 67, 499, 109, 541, 99, 531, 59, 491, 35, 467, 60, 492, 100, 532, 112, 544, 68, 500, 40, 472)(28, 460, 49, 481, 83, 515, 132, 564, 181, 613, 142, 574, 90, 522, 143, 575, 186, 618, 135, 567, 84, 516, 50, 482)(30, 462, 52, 484, 87, 519, 138, 570, 176, 608, 127, 559, 80, 512, 129, 561, 171, 603, 123, 555, 75, 507, 44, 476)(45, 477, 76, 508, 124, 556, 172, 604, 222, 654, 166, 598, 120, 552, 167, 599, 217, 649, 162, 594, 115, 547, 70, 502)(48, 480, 81, 513, 130, 562, 177, 609, 140, 572, 88, 520, 53, 485, 89, 521, 141, 573, 180, 612, 131, 563, 82, 514)(56, 488, 94, 526, 146, 578, 195, 627, 246, 678, 188, 620, 137, 569, 154, 586, 206, 638, 198, 630, 147, 579, 95, 527)(71, 503, 116, 548, 163, 595, 218, 650, 204, 636, 152, 584, 159, 591, 213, 645, 265, 697, 209, 641, 156, 588, 110, 542)(74, 506, 121, 553, 168, 600, 223, 655, 174, 606, 125, 557, 77, 509, 126, 558, 175, 607, 226, 658, 169, 601, 122, 554)(85, 517, 136, 568, 187, 619, 244, 676, 194, 626, 145, 577, 93, 525, 144, 576, 193, 625, 240, 672, 183, 615, 133, 565)(98, 530, 150, 582, 202, 634, 259, 691, 261, 693, 205, 637, 153, 585, 111, 543, 157, 589, 210, 642, 203, 635, 151, 583)(114, 546, 160, 592, 214, 646, 269, 701, 220, 652, 164, 596, 117, 549, 165, 597, 221, 653, 272, 704, 215, 647, 161, 593)(134, 566, 184, 616, 241, 673, 299, 731, 250, 682, 192, 624, 237, 669, 295, 727, 356, 788, 291, 723, 234, 666, 178, 610)(139, 571, 190, 622, 248, 680, 307, 739, 349, 781, 284, 716, 228, 660, 179, 611, 235, 667, 292, 724, 249, 681, 191, 623)(148, 580, 199, 631, 256, 688, 316, 748, 258, 690, 201, 633, 149, 581, 200, 632, 257, 689, 312, 744, 253, 685, 196, 628)(155, 587, 207, 639, 262, 694, 322, 754, 267, 699, 211, 643, 158, 590, 212, 644, 268, 700, 325, 757, 263, 695, 208, 640)(170, 602, 227, 659, 283, 715, 347, 779, 288, 720, 232, 664, 189, 621, 247, 679, 306, 738, 343, 775, 280, 712, 224, 656)(173, 605, 230, 662, 286, 718, 351, 783, 405, 837, 336, 768, 274, 706, 225, 657, 281, 713, 344, 776, 287, 719, 231, 663)(182, 614, 238, 670, 296, 728, 360, 792, 301, 733, 242, 674, 185, 617, 243, 675, 302, 734, 363, 795, 297, 729, 239, 671)(197, 629, 254, 686, 313, 745, 371, 803, 305, 737, 245, 677, 304, 736, 370, 802, 423, 855, 375, 807, 309, 741, 251, 683)(216, 648, 273, 705, 335, 767, 403, 835, 340, 772, 278, 710, 229, 661, 285, 717, 350, 782, 399, 831, 332, 764, 270, 702)(219, 651, 276, 708, 338, 770, 407, 839, 427, 859, 393, 825, 327, 759, 271, 703, 333, 765, 400, 832, 339, 771, 277, 709)(233, 665, 289, 721, 353, 785, 388, 820, 358, 790, 293, 725, 236, 668, 294, 726, 359, 791, 391, 823, 354, 786, 290, 722)(252, 684, 310, 742, 376, 808, 415, 847, 380, 812, 314, 746, 255, 687, 315, 747, 381, 813, 411, 843, 377, 809, 311, 743)(260, 692, 320, 752, 386, 818, 412, 844, 383, 815, 317, 749, 321, 753, 387, 819, 425, 857, 419, 851, 384, 816, 318, 750)(264, 696, 326, 758, 392, 824, 373, 805, 396, 828, 330, 762, 275, 707, 337, 769, 406, 838, 357, 789, 389, 821, 323, 755)(266, 698, 328, 760, 394, 826, 355, 787, 421, 853, 385, 817, 319, 751, 324, 756, 390, 822, 365, 797, 395, 827, 329, 761)(279, 711, 341, 773, 409, 841, 382, 814, 413, 845, 345, 777, 282, 714, 346, 778, 414, 846, 378, 810, 410, 842, 342, 774)(298, 730, 364, 796, 398, 830, 331, 763, 397, 829, 368, 800, 303, 735, 369, 801, 401, 833, 334, 766, 402, 834, 361, 793)(300, 732, 366, 798, 404, 836, 428, 860, 431, 863, 429, 861, 422, 854, 362, 794, 418, 850, 352, 784, 420, 852, 367, 799)(308, 740, 374, 806, 408, 840, 379, 811, 417, 849, 348, 780, 416, 848, 426, 858, 432, 864, 430, 862, 424, 856, 372, 804)(865, 1297)(866, 1298)(867, 1299)(868, 1300)(869, 1301)(870, 1302)(871, 1303)(872, 1304)(873, 1305)(874, 1306)(875, 1307)(876, 1308)(877, 1309)(878, 1310)(879, 1311)(880, 1312)(881, 1313)(882, 1314)(883, 1315)(884, 1316)(885, 1317)(886, 1318)(887, 1319)(888, 1320)(889, 1321)(890, 1322)(891, 1323)(892, 1324)(893, 1325)(894, 1326)(895, 1327)(896, 1328)(897, 1329)(898, 1330)(899, 1331)(900, 1332)(901, 1333)(902, 1334)(903, 1335)(904, 1336)(905, 1337)(906, 1338)(907, 1339)(908, 1340)(909, 1341)(910, 1342)(911, 1343)(912, 1344)(913, 1345)(914, 1346)(915, 1347)(916, 1348)(917, 1349)(918, 1350)(919, 1351)(920, 1352)(921, 1353)(922, 1354)(923, 1355)(924, 1356)(925, 1357)(926, 1358)(927, 1359)(928, 1360)(929, 1361)(930, 1362)(931, 1363)(932, 1364)(933, 1365)(934, 1366)(935, 1367)(936, 1368)(937, 1369)(938, 1370)(939, 1371)(940, 1372)(941, 1373)(942, 1374)(943, 1375)(944, 1376)(945, 1377)(946, 1378)(947, 1379)(948, 1380)(949, 1381)(950, 1382)(951, 1383)(952, 1384)(953, 1385)(954, 1386)(955, 1387)(956, 1388)(957, 1389)(958, 1390)(959, 1391)(960, 1392)(961, 1393)(962, 1394)(963, 1395)(964, 1396)(965, 1397)(966, 1398)(967, 1399)(968, 1400)(969, 1401)(970, 1402)(971, 1403)(972, 1404)(973, 1405)(974, 1406)(975, 1407)(976, 1408)(977, 1409)(978, 1410)(979, 1411)(980, 1412)(981, 1413)(982, 1414)(983, 1415)(984, 1416)(985, 1417)(986, 1418)(987, 1419)(988, 1420)(989, 1421)(990, 1422)(991, 1423)(992, 1424)(993, 1425)(994, 1426)(995, 1427)(996, 1428)(997, 1429)(998, 1430)(999, 1431)(1000, 1432)(1001, 1433)(1002, 1434)(1003, 1435)(1004, 1436)(1005, 1437)(1006, 1438)(1007, 1439)(1008, 1440)(1009, 1441)(1010, 1442)(1011, 1443)(1012, 1444)(1013, 1445)(1014, 1446)(1015, 1447)(1016, 1448)(1017, 1449)(1018, 1450)(1019, 1451)(1020, 1452)(1021, 1453)(1022, 1454)(1023, 1455)(1024, 1456)(1025, 1457)(1026, 1458)(1027, 1459)(1028, 1460)(1029, 1461)(1030, 1462)(1031, 1463)(1032, 1464)(1033, 1465)(1034, 1466)(1035, 1467)(1036, 1468)(1037, 1469)(1038, 1470)(1039, 1471)(1040, 1472)(1041, 1473)(1042, 1474)(1043, 1475)(1044, 1476)(1045, 1477)(1046, 1478)(1047, 1479)(1048, 1480)(1049, 1481)(1050, 1482)(1051, 1483)(1052, 1484)(1053, 1485)(1054, 1486)(1055, 1487)(1056, 1488)(1057, 1489)(1058, 1490)(1059, 1491)(1060, 1492)(1061, 1493)(1062, 1494)(1063, 1495)(1064, 1496)(1065, 1497)(1066, 1498)(1067, 1499)(1068, 1500)(1069, 1501)(1070, 1502)(1071, 1503)(1072, 1504)(1073, 1505)(1074, 1506)(1075, 1507)(1076, 1508)(1077, 1509)(1078, 1510)(1079, 1511)(1080, 1512)(1081, 1513)(1082, 1514)(1083, 1515)(1084, 1516)(1085, 1517)(1086, 1518)(1087, 1519)(1088, 1520)(1089, 1521)(1090, 1522)(1091, 1523)(1092, 1524)(1093, 1525)(1094, 1526)(1095, 1527)(1096, 1528)(1097, 1529)(1098, 1530)(1099, 1531)(1100, 1532)(1101, 1533)(1102, 1534)(1103, 1535)(1104, 1536)(1105, 1537)(1106, 1538)(1107, 1539)(1108, 1540)(1109, 1541)(1110, 1542)(1111, 1543)(1112, 1544)(1113, 1545)(1114, 1546)(1115, 1547)(1116, 1548)(1117, 1549)(1118, 1550)(1119, 1551)(1120, 1552)(1121, 1553)(1122, 1554)(1123, 1555)(1124, 1556)(1125, 1557)(1126, 1558)(1127, 1559)(1128, 1560)(1129, 1561)(1130, 1562)(1131, 1563)(1132, 1564)(1133, 1565)(1134, 1566)(1135, 1567)(1136, 1568)(1137, 1569)(1138, 1570)(1139, 1571)(1140, 1572)(1141, 1573)(1142, 1574)(1143, 1575)(1144, 1576)(1145, 1577)(1146, 1578)(1147, 1579)(1148, 1580)(1149, 1581)(1150, 1582)(1151, 1583)(1152, 1584)(1153, 1585)(1154, 1586)(1155, 1587)(1156, 1588)(1157, 1589)(1158, 1590)(1159, 1591)(1160, 1592)(1161, 1593)(1162, 1594)(1163, 1595)(1164, 1596)(1165, 1597)(1166, 1598)(1167, 1599)(1168, 1600)(1169, 1601)(1170, 1602)(1171, 1603)(1172, 1604)(1173, 1605)(1174, 1606)(1175, 1607)(1176, 1608)(1177, 1609)(1178, 1610)(1179, 1611)(1180, 1612)(1181, 1613)(1182, 1614)(1183, 1615)(1184, 1616)(1185, 1617)(1186, 1618)(1187, 1619)(1188, 1620)(1189, 1621)(1190, 1622)(1191, 1623)(1192, 1624)(1193, 1625)(1194, 1626)(1195, 1627)(1196, 1628)(1197, 1629)(1198, 1630)(1199, 1631)(1200, 1632)(1201, 1633)(1202, 1634)(1203, 1635)(1204, 1636)(1205, 1637)(1206, 1638)(1207, 1639)(1208, 1640)(1209, 1641)(1210, 1642)(1211, 1643)(1212, 1644)(1213, 1645)(1214, 1646)(1215, 1647)(1216, 1648)(1217, 1649)(1218, 1650)(1219, 1651)(1220, 1652)(1221, 1653)(1222, 1654)(1223, 1655)(1224, 1656)(1225, 1657)(1226, 1658)(1227, 1659)(1228, 1660)(1229, 1661)(1230, 1662)(1231, 1663)(1232, 1664)(1233, 1665)(1234, 1666)(1235, 1667)(1236, 1668)(1237, 1669)(1238, 1670)(1239, 1671)(1240, 1672)(1241, 1673)(1242, 1674)(1243, 1675)(1244, 1676)(1245, 1677)(1246, 1678)(1247, 1679)(1248, 1680)(1249, 1681)(1250, 1682)(1251, 1683)(1252, 1684)(1253, 1685)(1254, 1686)(1255, 1687)(1256, 1688)(1257, 1689)(1258, 1690)(1259, 1691)(1260, 1692)(1261, 1693)(1262, 1694)(1263, 1695)(1264, 1696)(1265, 1697)(1266, 1698)(1267, 1699)(1268, 1700)(1269, 1701)(1270, 1702)(1271, 1703)(1272, 1704)(1273, 1705)(1274, 1706)(1275, 1707)(1276, 1708)(1277, 1709)(1278, 1710)(1279, 1711)(1280, 1712)(1281, 1713)(1282, 1714)(1283, 1715)(1284, 1716)(1285, 1717)(1286, 1718)(1287, 1719)(1288, 1720)(1289, 1721)(1290, 1722)(1291, 1723)(1292, 1724)(1293, 1725)(1294, 1726)(1295, 1727)(1296, 1728)
	L = (1, 867)(2, 870)(3, 865)(4, 873)(5, 876)(6, 866)(7, 880)(8, 877)(9, 868)(10, 883)(11, 886)(12, 869)(13, 872)(14, 887)(15, 892)(16, 871)(17, 894)(18, 897)(19, 874)(20, 899)(21, 902)(22, 875)(23, 878)(24, 903)(25, 908)(26, 909)(27, 912)(28, 879)(29, 913)(30, 881)(31, 917)(32, 920)(33, 882)(34, 923)(35, 884)(36, 925)(37, 928)(38, 885)(39, 888)(40, 929)(41, 934)(42, 935)(43, 938)(44, 889)(45, 890)(46, 941)(47, 944)(48, 891)(49, 893)(50, 945)(51, 949)(52, 952)(53, 895)(54, 954)(55, 957)(56, 896)(57, 958)(58, 962)(59, 898)(60, 965)(61, 900)(62, 967)(63, 968)(64, 901)(65, 904)(66, 969)(67, 974)(68, 975)(69, 978)(70, 905)(71, 906)(72, 981)(73, 984)(74, 907)(75, 985)(76, 989)(77, 910)(78, 991)(79, 992)(80, 911)(81, 914)(82, 993)(83, 997)(84, 998)(85, 915)(86, 1001)(87, 1003)(88, 916)(89, 1006)(90, 918)(91, 970)(92, 1007)(93, 919)(94, 921)(95, 1008)(96, 1012)(97, 1013)(98, 922)(99, 1014)(100, 1016)(101, 924)(102, 983)(103, 926)(104, 927)(105, 930)(106, 955)(107, 1017)(108, 1018)(109, 1019)(110, 931)(111, 932)(112, 1022)(113, 1023)(114, 933)(115, 1024)(116, 1028)(117, 936)(118, 1030)(119, 966)(120, 937)(121, 939)(122, 1031)(123, 1034)(124, 1037)(125, 940)(126, 1040)(127, 942)(128, 943)(129, 946)(130, 1042)(131, 1043)(132, 1046)(133, 947)(134, 948)(135, 1049)(136, 1052)(137, 950)(138, 1053)(139, 951)(140, 1054)(141, 1056)(142, 953)(143, 956)(144, 959)(145, 1050)(146, 1060)(147, 1061)(148, 960)(149, 961)(150, 963)(151, 1064)(152, 964)(153, 971)(154, 972)(155, 973)(156, 1071)(157, 1075)(158, 976)(159, 977)(160, 979)(161, 1077)(162, 1080)(163, 1083)(164, 980)(165, 1086)(166, 982)(167, 986)(168, 1088)(169, 1089)(170, 987)(171, 1092)(172, 1093)(173, 988)(174, 1094)(175, 1096)(176, 990)(177, 1097)(178, 994)(179, 995)(180, 1100)(181, 1101)(182, 996)(183, 1102)(184, 1106)(185, 999)(186, 1009)(187, 1109)(188, 1000)(189, 1002)(190, 1004)(191, 1111)(192, 1005)(193, 1115)(194, 1107)(195, 1116)(196, 1010)(197, 1011)(198, 1119)(199, 1069)(200, 1015)(201, 1070)(202, 1072)(203, 1124)(204, 1076)(205, 1063)(206, 1065)(207, 1020)(208, 1066)(209, 1128)(210, 1130)(211, 1021)(212, 1068)(213, 1025)(214, 1134)(215, 1135)(216, 1026)(217, 1138)(218, 1139)(219, 1027)(220, 1140)(221, 1142)(222, 1029)(223, 1143)(224, 1032)(225, 1033)(226, 1146)(227, 1148)(228, 1035)(229, 1036)(230, 1038)(231, 1149)(232, 1039)(233, 1041)(234, 1153)(235, 1157)(236, 1044)(237, 1045)(238, 1047)(239, 1159)(240, 1162)(241, 1164)(242, 1048)(243, 1058)(244, 1167)(245, 1051)(246, 1168)(247, 1055)(248, 1154)(249, 1172)(250, 1158)(251, 1057)(252, 1059)(253, 1174)(254, 1178)(255, 1062)(256, 1181)(257, 1182)(258, 1179)(259, 1183)(260, 1067)(261, 1185)(262, 1187)(263, 1188)(264, 1073)(265, 1191)(266, 1074)(267, 1192)(268, 1194)(269, 1195)(270, 1078)(271, 1079)(272, 1198)(273, 1200)(274, 1081)(275, 1082)(276, 1084)(277, 1201)(278, 1085)(279, 1087)(280, 1205)(281, 1209)(282, 1090)(283, 1212)(284, 1091)(285, 1095)(286, 1206)(287, 1216)(288, 1210)(289, 1098)(290, 1112)(291, 1219)(292, 1221)(293, 1099)(294, 1114)(295, 1103)(296, 1225)(297, 1226)(298, 1104)(299, 1229)(300, 1105)(301, 1230)(302, 1232)(303, 1108)(304, 1110)(305, 1233)(306, 1236)(307, 1237)(308, 1113)(309, 1228)(310, 1117)(311, 1234)(312, 1242)(313, 1243)(314, 1118)(315, 1122)(316, 1246)(317, 1120)(318, 1121)(319, 1123)(320, 1193)(321, 1125)(322, 1252)(323, 1126)(324, 1127)(325, 1255)(326, 1257)(327, 1129)(328, 1131)(329, 1184)(330, 1132)(331, 1133)(332, 1261)(333, 1265)(334, 1136)(335, 1268)(336, 1137)(337, 1141)(338, 1262)(339, 1272)(340, 1266)(341, 1144)(342, 1150)(343, 1275)(344, 1276)(345, 1145)(346, 1152)(347, 1279)(348, 1147)(349, 1280)(350, 1282)(351, 1283)(352, 1151)(353, 1258)(354, 1260)(355, 1155)(356, 1286)(357, 1156)(358, 1253)(359, 1254)(360, 1267)(361, 1160)(362, 1161)(363, 1263)(364, 1173)(365, 1163)(366, 1165)(367, 1259)(368, 1166)(369, 1169)(370, 1175)(371, 1264)(372, 1170)(373, 1171)(374, 1270)(375, 1271)(376, 1278)(377, 1288)(378, 1176)(379, 1177)(380, 1281)(381, 1273)(382, 1180)(383, 1277)(384, 1274)(385, 1251)(386, 1284)(387, 1249)(388, 1186)(389, 1222)(390, 1223)(391, 1189)(392, 1290)(393, 1190)(394, 1217)(395, 1231)(396, 1218)(397, 1196)(398, 1202)(399, 1227)(400, 1235)(401, 1197)(402, 1204)(403, 1224)(404, 1199)(405, 1292)(406, 1238)(407, 1239)(408, 1203)(409, 1245)(410, 1248)(411, 1207)(412, 1208)(413, 1247)(414, 1240)(415, 1211)(416, 1213)(417, 1244)(418, 1214)(419, 1215)(420, 1250)(421, 1293)(422, 1220)(423, 1294)(424, 1241)(425, 1295)(426, 1256)(427, 1296)(428, 1269)(429, 1285)(430, 1287)(431, 1289)(432, 1291)(433, 1297)(434, 1298)(435, 1299)(436, 1300)(437, 1301)(438, 1302)(439, 1303)(440, 1304)(441, 1305)(442, 1306)(443, 1307)(444, 1308)(445, 1309)(446, 1310)(447, 1311)(448, 1312)(449, 1313)(450, 1314)(451, 1315)(452, 1316)(453, 1317)(454, 1318)(455, 1319)(456, 1320)(457, 1321)(458, 1322)(459, 1323)(460, 1324)(461, 1325)(462, 1326)(463, 1327)(464, 1328)(465, 1329)(466, 1330)(467, 1331)(468, 1332)(469, 1333)(470, 1334)(471, 1335)(472, 1336)(473, 1337)(474, 1338)(475, 1339)(476, 1340)(477, 1341)(478, 1342)(479, 1343)(480, 1344)(481, 1345)(482, 1346)(483, 1347)(484, 1348)(485, 1349)(486, 1350)(487, 1351)(488, 1352)(489, 1353)(490, 1354)(491, 1355)(492, 1356)(493, 1357)(494, 1358)(495, 1359)(496, 1360)(497, 1361)(498, 1362)(499, 1363)(500, 1364)(501, 1365)(502, 1366)(503, 1367)(504, 1368)(505, 1369)(506, 1370)(507, 1371)(508, 1372)(509, 1373)(510, 1374)(511, 1375)(512, 1376)(513, 1377)(514, 1378)(515, 1379)(516, 1380)(517, 1381)(518, 1382)(519, 1383)(520, 1384)(521, 1385)(522, 1386)(523, 1387)(524, 1388)(525, 1389)(526, 1390)(527, 1391)(528, 1392)(529, 1393)(530, 1394)(531, 1395)(532, 1396)(533, 1397)(534, 1398)(535, 1399)(536, 1400)(537, 1401)(538, 1402)(539, 1403)(540, 1404)(541, 1405)(542, 1406)(543, 1407)(544, 1408)(545, 1409)(546, 1410)(547, 1411)(548, 1412)(549, 1413)(550, 1414)(551, 1415)(552, 1416)(553, 1417)(554, 1418)(555, 1419)(556, 1420)(557, 1421)(558, 1422)(559, 1423)(560, 1424)(561, 1425)(562, 1426)(563, 1427)(564, 1428)(565, 1429)(566, 1430)(567, 1431)(568, 1432)(569, 1433)(570, 1434)(571, 1435)(572, 1436)(573, 1437)(574, 1438)(575, 1439)(576, 1440)(577, 1441)(578, 1442)(579, 1443)(580, 1444)(581, 1445)(582, 1446)(583, 1447)(584, 1448)(585, 1449)(586, 1450)(587, 1451)(588, 1452)(589, 1453)(590, 1454)(591, 1455)(592, 1456)(593, 1457)(594, 1458)(595, 1459)(596, 1460)(597, 1461)(598, 1462)(599, 1463)(600, 1464)(601, 1465)(602, 1466)(603, 1467)(604, 1468)(605, 1469)(606, 1470)(607, 1471)(608, 1472)(609, 1473)(610, 1474)(611, 1475)(612, 1476)(613, 1477)(614, 1478)(615, 1479)(616, 1480)(617, 1481)(618, 1482)(619, 1483)(620, 1484)(621, 1485)(622, 1486)(623, 1487)(624, 1488)(625, 1489)(626, 1490)(627, 1491)(628, 1492)(629, 1493)(630, 1494)(631, 1495)(632, 1496)(633, 1497)(634, 1498)(635, 1499)(636, 1500)(637, 1501)(638, 1502)(639, 1503)(640, 1504)(641, 1505)(642, 1506)(643, 1507)(644, 1508)(645, 1509)(646, 1510)(647, 1511)(648, 1512)(649, 1513)(650, 1514)(651, 1515)(652, 1516)(653, 1517)(654, 1518)(655, 1519)(656, 1520)(657, 1521)(658, 1522)(659, 1523)(660, 1524)(661, 1525)(662, 1526)(663, 1527)(664, 1528)(665, 1529)(666, 1530)(667, 1531)(668, 1532)(669, 1533)(670, 1534)(671, 1535)(672, 1536)(673, 1537)(674, 1538)(675, 1539)(676, 1540)(677, 1541)(678, 1542)(679, 1543)(680, 1544)(681, 1545)(682, 1546)(683, 1547)(684, 1548)(685, 1549)(686, 1550)(687, 1551)(688, 1552)(689, 1553)(690, 1554)(691, 1555)(692, 1556)(693, 1557)(694, 1558)(695, 1559)(696, 1560)(697, 1561)(698, 1562)(699, 1563)(700, 1564)(701, 1565)(702, 1566)(703, 1567)(704, 1568)(705, 1569)(706, 1570)(707, 1571)(708, 1572)(709, 1573)(710, 1574)(711, 1575)(712, 1576)(713, 1577)(714, 1578)(715, 1579)(716, 1580)(717, 1581)(718, 1582)(719, 1583)(720, 1584)(721, 1585)(722, 1586)(723, 1587)(724, 1588)(725, 1589)(726, 1590)(727, 1591)(728, 1592)(729, 1593)(730, 1594)(731, 1595)(732, 1596)(733, 1597)(734, 1598)(735, 1599)(736, 1600)(737, 1601)(738, 1602)(739, 1603)(740, 1604)(741, 1605)(742, 1606)(743, 1607)(744, 1608)(745, 1609)(746, 1610)(747, 1611)(748, 1612)(749, 1613)(750, 1614)(751, 1615)(752, 1616)(753, 1617)(754, 1618)(755, 1619)(756, 1620)(757, 1621)(758, 1622)(759, 1623)(760, 1624)(761, 1625)(762, 1626)(763, 1627)(764, 1628)(765, 1629)(766, 1630)(767, 1631)(768, 1632)(769, 1633)(770, 1634)(771, 1635)(772, 1636)(773, 1637)(774, 1638)(775, 1639)(776, 1640)(777, 1641)(778, 1642)(779, 1643)(780, 1644)(781, 1645)(782, 1646)(783, 1647)(784, 1648)(785, 1649)(786, 1650)(787, 1651)(788, 1652)(789, 1653)(790, 1654)(791, 1655)(792, 1656)(793, 1657)(794, 1658)(795, 1659)(796, 1660)(797, 1661)(798, 1662)(799, 1663)(800, 1664)(801, 1665)(802, 1666)(803, 1667)(804, 1668)(805, 1669)(806, 1670)(807, 1671)(808, 1672)(809, 1673)(810, 1674)(811, 1675)(812, 1676)(813, 1677)(814, 1678)(815, 1679)(816, 1680)(817, 1681)(818, 1682)(819, 1683)(820, 1684)(821, 1685)(822, 1686)(823, 1687)(824, 1688)(825, 1689)(826, 1690)(827, 1691)(828, 1692)(829, 1693)(830, 1694)(831, 1695)(832, 1696)(833, 1697)(834, 1698)(835, 1699)(836, 1700)(837, 1701)(838, 1702)(839, 1703)(840, 1704)(841, 1705)(842, 1706)(843, 1707)(844, 1708)(845, 1709)(846, 1710)(847, 1711)(848, 1712)(849, 1713)(850, 1714)(851, 1715)(852, 1716)(853, 1717)(854, 1718)(855, 1719)(856, 1720)(857, 1721)(858, 1722)(859, 1723)(860, 1724)(861, 1725)(862, 1726)(863, 1727)(864, 1728)
	local type(s) :: { ( 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2423
Graph:: simple bipartite
	v = 468 e = 864 f = 360
	degree seq :: [ 2^432, 24^36 ]

E19.2427 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3 x Q8) : C3) : C2 (small group id <432, 269>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2)^3, (Y3 * Y2^-1)^3, (Y2^-2 * R * Y1 * Y2^-2)^2, Y2^12, (Y2^-6 * Y1)^2, Y2^-2 * Y1 * Y2 * R * Y2^4 * R * Y2 * Y1 * Y2^-2, Y1 * Y2^3 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^3 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^3 ]
Map::
	R = (1, 433, 2, 434)(3, 435, 7, 439)(4, 436, 9, 441)(5, 437, 11, 443)(6, 438, 13, 445)(8, 440, 16, 448)(10, 442, 19, 451)(12, 444, 22, 454)(14, 446, 25, 457)(15, 447, 27, 459)(17, 449, 30, 462)(18, 450, 32, 464)(20, 452, 35, 467)(21, 453, 37, 469)(23, 455, 40, 472)(24, 456, 42, 474)(26, 458, 45, 477)(28, 460, 48, 480)(29, 461, 50, 482)(31, 463, 53, 485)(33, 465, 56, 488)(34, 466, 58, 490)(36, 468, 61, 493)(38, 470, 64, 496)(39, 471, 66, 498)(41, 473, 69, 501)(43, 475, 72, 504)(44, 476, 74, 506)(46, 478, 77, 509)(47, 479, 79, 511)(49, 481, 82, 514)(51, 483, 85, 517)(52, 484, 87, 519)(54, 486, 90, 522)(55, 487, 92, 524)(57, 489, 95, 527)(59, 491, 98, 530)(60, 492, 100, 532)(62, 494, 103, 535)(63, 495, 104, 536)(65, 497, 107, 539)(67, 499, 110, 542)(68, 500, 112, 544)(70, 502, 115, 547)(71, 503, 117, 549)(73, 505, 120, 552)(75, 507, 123, 555)(76, 508, 125, 557)(78, 510, 128, 560)(80, 512, 130, 562)(81, 513, 132, 564)(83, 515, 114, 546)(84, 516, 135, 567)(86, 518, 138, 570)(88, 520, 141, 573)(89, 521, 108, 540)(91, 523, 116, 548)(93, 525, 145, 577)(94, 526, 146, 578)(96, 528, 127, 559)(97, 529, 149, 581)(99, 531, 151, 583)(101, 533, 152, 584)(102, 534, 121, 553)(105, 537, 154, 586)(106, 538, 156, 588)(109, 541, 159, 591)(111, 543, 162, 594)(113, 545, 165, 597)(118, 550, 169, 601)(119, 551, 170, 602)(122, 554, 173, 605)(124, 556, 175, 607)(126, 558, 176, 608)(129, 561, 177, 609)(131, 563, 180, 612)(133, 565, 182, 614)(134, 566, 167, 599)(136, 568, 186, 618)(137, 569, 187, 619)(139, 571, 172, 604)(140, 572, 190, 622)(142, 574, 192, 624)(143, 575, 158, 590)(144, 576, 193, 625)(147, 579, 197, 629)(148, 580, 163, 595)(150, 582, 201, 633)(153, 585, 205, 637)(155, 587, 208, 640)(157, 589, 210, 642)(160, 592, 214, 646)(161, 593, 215, 647)(164, 596, 218, 650)(166, 598, 220, 652)(168, 600, 221, 653)(171, 603, 225, 657)(174, 606, 229, 661)(178, 610, 234, 666)(179, 611, 235, 667)(181, 613, 237, 669)(183, 615, 239, 671)(184, 616, 231, 663)(185, 617, 240, 672)(188, 620, 244, 676)(189, 621, 227, 659)(191, 623, 248, 680)(194, 626, 252, 684)(195, 627, 247, 679)(196, 628, 254, 686)(198, 630, 256, 688)(199, 631, 217, 649)(200, 632, 242, 674)(202, 634, 259, 691)(203, 635, 212, 644)(204, 636, 250, 682)(206, 638, 262, 694)(207, 639, 263, 695)(209, 641, 265, 697)(211, 643, 267, 699)(213, 645, 268, 700)(216, 648, 272, 704)(219, 651, 276, 708)(222, 654, 280, 712)(223, 655, 275, 707)(224, 656, 282, 714)(226, 658, 284, 716)(228, 660, 270, 702)(230, 662, 287, 719)(232, 664, 278, 710)(233, 665, 289, 721)(236, 668, 293, 725)(238, 670, 296, 728)(241, 673, 300, 732)(243, 675, 302, 734)(245, 677, 304, 736)(246, 678, 298, 730)(249, 681, 307, 739)(251, 683, 309, 741)(253, 685, 312, 744)(255, 687, 315, 747)(257, 689, 318, 750)(258, 690, 319, 751)(260, 692, 317, 749)(261, 693, 321, 753)(264, 696, 325, 757)(266, 698, 328, 760)(269, 701, 332, 764)(271, 703, 334, 766)(273, 705, 336, 768)(274, 706, 330, 762)(277, 709, 339, 771)(279, 711, 341, 773)(281, 713, 344, 776)(283, 715, 347, 779)(285, 717, 350, 782)(286, 718, 351, 783)(288, 720, 349, 781)(290, 722, 354, 786)(291, 723, 346, 778)(292, 724, 356, 788)(294, 726, 358, 790)(295, 727, 343, 775)(297, 729, 361, 793)(299, 731, 363, 795)(301, 733, 366, 798)(303, 735, 369, 801)(305, 737, 372, 804)(306, 738, 373, 805)(308, 740, 371, 803)(310, 742, 376, 808)(311, 743, 327, 759)(313, 745, 379, 811)(314, 746, 323, 755)(316, 748, 382, 814)(320, 752, 374, 806)(322, 754, 388, 820)(324, 756, 390, 822)(326, 758, 392, 824)(329, 761, 395, 827)(331, 763, 397, 829)(333, 765, 400, 832)(335, 767, 403, 835)(337, 769, 406, 838)(338, 770, 407, 839)(340, 772, 405, 837)(342, 774, 410, 842)(345, 777, 413, 845)(348, 780, 416, 848)(352, 784, 408, 840)(353, 785, 396, 828)(355, 787, 402, 834)(357, 789, 394, 826)(359, 791, 422, 854)(360, 792, 391, 823)(362, 794, 387, 819)(364, 796, 398, 830)(365, 797, 421, 853)(367, 799, 401, 833)(368, 800, 389, 821)(370, 802, 420, 852)(375, 807, 417, 849)(377, 809, 419, 851)(378, 810, 415, 847)(380, 812, 423, 855)(381, 813, 412, 844)(383, 815, 409, 841)(384, 816, 424, 856)(385, 817, 411, 843)(386, 818, 404, 836)(393, 825, 426, 858)(399, 831, 425, 857)(414, 846, 427, 859)(418, 850, 428, 860)(429, 861, 432, 864)(430, 862, 431, 863)(865, 1297, 867, 1299, 872, 1304, 881, 1313, 895, 1327, 918, 1350, 955, 1387, 926, 1358, 900, 1332, 884, 1316, 874, 1306, 868, 1300)(866, 1298, 869, 1301, 876, 1308, 887, 1319, 905, 1337, 934, 1366, 980, 1412, 942, 1374, 910, 1342, 890, 1322, 878, 1310, 870, 1302)(871, 1303, 877, 1309, 888, 1320, 907, 1339, 937, 1369, 985, 1417, 967, 1399, 979, 1411, 947, 1379, 913, 1345, 892, 1324, 879, 1311)(873, 1305, 882, 1314, 897, 1329, 921, 1353, 960, 1392, 992, 1424, 954, 1386, 972, 1404, 929, 1361, 902, 1334, 885, 1317, 875, 1307)(880, 1312, 891, 1323, 911, 1343, 944, 1376, 995, 1427, 964, 1396, 925, 1357, 966, 1398, 1003, 1435, 950, 1382, 915, 1347, 893, 1325)(883, 1315, 898, 1330, 923, 1355, 963, 1395, 1007, 1439, 953, 1385, 917, 1349, 951, 1383, 1004, 1436, 957, 1389, 919, 1351, 896, 1328)(886, 1318, 901, 1333, 927, 1359, 969, 1401, 1019, 1451, 989, 1421, 941, 1373, 991, 1423, 1027, 1459, 975, 1407, 931, 1363, 903, 1335)(889, 1321, 908, 1340, 939, 1371, 988, 1420, 1031, 1463, 978, 1410, 933, 1365, 976, 1408, 1028, 1460, 982, 1414, 935, 1367, 906, 1338)(894, 1326, 914, 1346, 948, 1380, 1000, 1432, 961, 1393, 922, 1354, 899, 1331, 924, 1356, 965, 1397, 1006, 1438, 952, 1384, 916, 1348)(904, 1336, 930, 1362, 973, 1405, 1024, 1456, 986, 1418, 938, 1370, 909, 1341, 940, 1372, 990, 1422, 1030, 1462, 977, 1409, 932, 1364)(912, 1344, 945, 1377, 997, 1429, 1047, 1479, 1091, 1523, 1036, 1468, 984, 1416, 1034, 1466, 1088, 1520, 1042, 1474, 993, 1425, 943, 1375)(920, 1352, 956, 1388, 1008, 1440, 1058, 1490, 1073, 1505, 1020, 1452, 971, 1403, 1022, 1454, 1076, 1508, 1062, 1494, 1011, 1443, 958, 1390)(928, 1360, 970, 1402, 1021, 1453, 1075, 1507, 1063, 1495, 1012, 1444, 959, 1391, 1010, 1442, 1060, 1492, 1070, 1502, 1017, 1449, 968, 1400)(936, 1368, 981, 1413, 1032, 1464, 1086, 1518, 1045, 1477, 996, 1428, 946, 1378, 998, 1430, 1048, 1480, 1090, 1522, 1035, 1467, 983, 1415)(949, 1381, 1001, 1433, 1052, 1484, 1109, 1541, 1068, 1500, 1016, 1448, 1044, 1476, 1099, 1531, 1156, 1588, 1105, 1537, 1049, 1481, 999, 1431)(962, 1394, 1013, 1445, 1064, 1496, 1121, 1553, 1169, 1601, 1111, 1543, 1054, 1486, 1005, 1437, 1055, 1487, 1113, 1545, 1066, 1498, 1014, 1446)(974, 1406, 1025, 1457, 1080, 1512, 1137, 1569, 1096, 1528, 1040, 1472, 1072, 1504, 1127, 1559, 1188, 1620, 1133, 1565, 1077, 1509, 1023, 1455)(987, 1419, 1037, 1469, 1092, 1524, 1149, 1581, 1201, 1633, 1139, 1571, 1082, 1514, 1029, 1461, 1083, 1515, 1141, 1573, 1094, 1526, 1038, 1470)(994, 1426, 1041, 1473, 1097, 1529, 1154, 1586, 1107, 1539, 1051, 1483, 1002, 1434, 1053, 1485, 1110, 1542, 1158, 1590, 1100, 1532, 1043, 1475)(1009, 1441, 1059, 1491, 1117, 1549, 1177, 1609, 1124, 1556, 1067, 1499, 1015, 1447, 1065, 1497, 1122, 1554, 1174, 1606, 1115, 1547, 1057, 1489)(1018, 1450, 1069, 1501, 1125, 1557, 1186, 1618, 1135, 1567, 1079, 1511, 1026, 1458, 1081, 1513, 1138, 1570, 1190, 1622, 1128, 1560, 1071, 1503)(1033, 1465, 1087, 1519, 1145, 1577, 1209, 1641, 1152, 1584, 1095, 1527, 1039, 1471, 1093, 1525, 1150, 1582, 1206, 1638, 1143, 1575, 1085, 1517)(1046, 1478, 1101, 1533, 1159, 1591, 1223, 1655, 1278, 1710, 1210, 1642, 1146, 1578, 1089, 1521, 1147, 1579, 1212, 1644, 1161, 1593, 1102, 1534)(1050, 1482, 1104, 1536, 1163, 1595, 1228, 1660, 1170, 1602, 1112, 1544, 1056, 1488, 1114, 1546, 1172, 1604, 1231, 1663, 1165, 1597, 1106, 1538)(1061, 1493, 1119, 1551, 1180, 1612, 1193, 1625, 1130, 1562, 1074, 1506, 1129, 1561, 1191, 1623, 1257, 1689, 1244, 1676, 1178, 1610, 1118, 1550)(1078, 1510, 1132, 1564, 1195, 1627, 1262, 1694, 1202, 1634, 1140, 1572, 1084, 1516, 1142, 1574, 1204, 1636, 1265, 1697, 1197, 1629, 1134, 1566)(1098, 1530, 1155, 1587, 1219, 1651, 1252, 1684, 1226, 1658, 1162, 1594, 1103, 1535, 1160, 1592, 1224, 1656, 1256, 1688, 1217, 1649, 1153, 1585)(1108, 1540, 1166, 1598, 1232, 1664, 1287, 1719, 1293, 1725, 1285, 1717, 1220, 1652, 1157, 1589, 1221, 1653, 1259, 1691, 1234, 1666, 1167, 1599)(1116, 1548, 1173, 1605, 1239, 1671, 1277, 1709, 1245, 1677, 1179, 1611, 1120, 1552, 1181, 1613, 1247, 1679, 1274, 1706, 1241, 1673, 1175, 1607)(1123, 1555, 1184, 1616, 1250, 1682, 1280, 1712, 1242, 1674, 1176, 1608, 1236, 1668, 1288, 1720, 1294, 1726, 1286, 1718, 1249, 1681, 1183, 1615)(1126, 1558, 1187, 1619, 1253, 1685, 1218, 1650, 1260, 1692, 1194, 1626, 1131, 1563, 1192, 1624, 1258, 1690, 1222, 1654, 1251, 1683, 1185, 1617)(1136, 1568, 1198, 1630, 1266, 1698, 1291, 1723, 1295, 1727, 1289, 1721, 1254, 1686, 1189, 1621, 1255, 1687, 1225, 1657, 1268, 1700, 1199, 1631)(1144, 1576, 1205, 1637, 1273, 1705, 1243, 1675, 1279, 1711, 1211, 1643, 1148, 1580, 1213, 1645, 1281, 1713, 1240, 1672, 1275, 1707, 1207, 1639)(1151, 1583, 1216, 1648, 1284, 1716, 1246, 1678, 1276, 1708, 1208, 1640, 1270, 1702, 1292, 1724, 1296, 1728, 1290, 1722, 1283, 1715, 1215, 1647)(1164, 1596, 1229, 1661, 1282, 1714, 1214, 1646, 1264, 1696, 1235, 1667, 1168, 1600, 1233, 1665, 1272, 1704, 1203, 1635, 1271, 1703, 1227, 1659)(1171, 1603, 1237, 1669, 1261, 1693, 1196, 1628, 1263, 1695, 1248, 1680, 1182, 1614, 1230, 1662, 1269, 1701, 1200, 1632, 1267, 1699, 1238, 1670)
	L = (1, 866)(2, 865)(3, 871)(4, 873)(5, 875)(6, 877)(7, 867)(8, 880)(9, 868)(10, 883)(11, 869)(12, 886)(13, 870)(14, 889)(15, 891)(16, 872)(17, 894)(18, 896)(19, 874)(20, 899)(21, 901)(22, 876)(23, 904)(24, 906)(25, 878)(26, 909)(27, 879)(28, 912)(29, 914)(30, 881)(31, 917)(32, 882)(33, 920)(34, 922)(35, 884)(36, 925)(37, 885)(38, 928)(39, 930)(40, 887)(41, 933)(42, 888)(43, 936)(44, 938)(45, 890)(46, 941)(47, 943)(48, 892)(49, 946)(50, 893)(51, 949)(52, 951)(53, 895)(54, 954)(55, 956)(56, 897)(57, 959)(58, 898)(59, 962)(60, 964)(61, 900)(62, 967)(63, 968)(64, 902)(65, 971)(66, 903)(67, 974)(68, 976)(69, 905)(70, 979)(71, 981)(72, 907)(73, 984)(74, 908)(75, 987)(76, 989)(77, 910)(78, 992)(79, 911)(80, 994)(81, 996)(82, 913)(83, 978)(84, 999)(85, 915)(86, 1002)(87, 916)(88, 1005)(89, 972)(90, 918)(91, 980)(92, 919)(93, 1009)(94, 1010)(95, 921)(96, 991)(97, 1013)(98, 923)(99, 1015)(100, 924)(101, 1016)(102, 985)(103, 926)(104, 927)(105, 1018)(106, 1020)(107, 929)(108, 953)(109, 1023)(110, 931)(111, 1026)(112, 932)(113, 1029)(114, 947)(115, 934)(116, 955)(117, 935)(118, 1033)(119, 1034)(120, 937)(121, 966)(122, 1037)(123, 939)(124, 1039)(125, 940)(126, 1040)(127, 960)(128, 942)(129, 1041)(130, 944)(131, 1044)(132, 945)(133, 1046)(134, 1031)(135, 948)(136, 1050)(137, 1051)(138, 950)(139, 1036)(140, 1054)(141, 952)(142, 1056)(143, 1022)(144, 1057)(145, 957)(146, 958)(147, 1061)(148, 1027)(149, 961)(150, 1065)(151, 963)(152, 965)(153, 1069)(154, 969)(155, 1072)(156, 970)(157, 1074)(158, 1007)(159, 973)(160, 1078)(161, 1079)(162, 975)(163, 1012)(164, 1082)(165, 977)(166, 1084)(167, 998)(168, 1085)(169, 982)(170, 983)(171, 1089)(172, 1003)(173, 986)(174, 1093)(175, 988)(176, 990)(177, 993)(178, 1098)(179, 1099)(180, 995)(181, 1101)(182, 997)(183, 1103)(184, 1095)(185, 1104)(186, 1000)(187, 1001)(188, 1108)(189, 1091)(190, 1004)(191, 1112)(192, 1006)(193, 1008)(194, 1116)(195, 1111)(196, 1118)(197, 1011)(198, 1120)(199, 1081)(200, 1106)(201, 1014)(202, 1123)(203, 1076)(204, 1114)(205, 1017)(206, 1126)(207, 1127)(208, 1019)(209, 1129)(210, 1021)(211, 1131)(212, 1067)(213, 1132)(214, 1024)(215, 1025)(216, 1136)(217, 1063)(218, 1028)(219, 1140)(220, 1030)(221, 1032)(222, 1144)(223, 1139)(224, 1146)(225, 1035)(226, 1148)(227, 1053)(228, 1134)(229, 1038)(230, 1151)(231, 1048)(232, 1142)(233, 1153)(234, 1042)(235, 1043)(236, 1157)(237, 1045)(238, 1160)(239, 1047)(240, 1049)(241, 1164)(242, 1064)(243, 1166)(244, 1052)(245, 1168)(246, 1162)(247, 1059)(248, 1055)(249, 1171)(250, 1068)(251, 1173)(252, 1058)(253, 1176)(254, 1060)(255, 1179)(256, 1062)(257, 1182)(258, 1183)(259, 1066)(260, 1181)(261, 1185)(262, 1070)(263, 1071)(264, 1189)(265, 1073)(266, 1192)(267, 1075)(268, 1077)(269, 1196)(270, 1092)(271, 1198)(272, 1080)(273, 1200)(274, 1194)(275, 1087)(276, 1083)(277, 1203)(278, 1096)(279, 1205)(280, 1086)(281, 1208)(282, 1088)(283, 1211)(284, 1090)(285, 1214)(286, 1215)(287, 1094)(288, 1213)(289, 1097)(290, 1218)(291, 1210)(292, 1220)(293, 1100)(294, 1222)(295, 1207)(296, 1102)(297, 1225)(298, 1110)(299, 1227)(300, 1105)(301, 1230)(302, 1107)(303, 1233)(304, 1109)(305, 1236)(306, 1237)(307, 1113)(308, 1235)(309, 1115)(310, 1240)(311, 1191)(312, 1117)(313, 1243)(314, 1187)(315, 1119)(316, 1246)(317, 1124)(318, 1121)(319, 1122)(320, 1238)(321, 1125)(322, 1252)(323, 1178)(324, 1254)(325, 1128)(326, 1256)(327, 1175)(328, 1130)(329, 1259)(330, 1138)(331, 1261)(332, 1133)(333, 1264)(334, 1135)(335, 1267)(336, 1137)(337, 1270)(338, 1271)(339, 1141)(340, 1269)(341, 1143)(342, 1274)(343, 1159)(344, 1145)(345, 1277)(346, 1155)(347, 1147)(348, 1280)(349, 1152)(350, 1149)(351, 1150)(352, 1272)(353, 1260)(354, 1154)(355, 1266)(356, 1156)(357, 1258)(358, 1158)(359, 1286)(360, 1255)(361, 1161)(362, 1251)(363, 1163)(364, 1262)(365, 1285)(366, 1165)(367, 1265)(368, 1253)(369, 1167)(370, 1284)(371, 1172)(372, 1169)(373, 1170)(374, 1184)(375, 1281)(376, 1174)(377, 1283)(378, 1279)(379, 1177)(380, 1287)(381, 1276)(382, 1180)(383, 1273)(384, 1288)(385, 1275)(386, 1268)(387, 1226)(388, 1186)(389, 1232)(390, 1188)(391, 1224)(392, 1190)(393, 1290)(394, 1221)(395, 1193)(396, 1217)(397, 1195)(398, 1228)(399, 1289)(400, 1197)(401, 1231)(402, 1219)(403, 1199)(404, 1250)(405, 1204)(406, 1201)(407, 1202)(408, 1216)(409, 1247)(410, 1206)(411, 1249)(412, 1245)(413, 1209)(414, 1291)(415, 1242)(416, 1212)(417, 1239)(418, 1292)(419, 1241)(420, 1234)(421, 1229)(422, 1223)(423, 1244)(424, 1248)(425, 1263)(426, 1257)(427, 1278)(428, 1282)(429, 1296)(430, 1295)(431, 1294)(432, 1293)(433, 1297)(434, 1298)(435, 1299)(436, 1300)(437, 1301)(438, 1302)(439, 1303)(440, 1304)(441, 1305)(442, 1306)(443, 1307)(444, 1308)(445, 1309)(446, 1310)(447, 1311)(448, 1312)(449, 1313)(450, 1314)(451, 1315)(452, 1316)(453, 1317)(454, 1318)(455, 1319)(456, 1320)(457, 1321)(458, 1322)(459, 1323)(460, 1324)(461, 1325)(462, 1326)(463, 1327)(464, 1328)(465, 1329)(466, 1330)(467, 1331)(468, 1332)(469, 1333)(470, 1334)(471, 1335)(472, 1336)(473, 1337)(474, 1338)(475, 1339)(476, 1340)(477, 1341)(478, 1342)(479, 1343)(480, 1344)(481, 1345)(482, 1346)(483, 1347)(484, 1348)(485, 1349)(486, 1350)(487, 1351)(488, 1352)(489, 1353)(490, 1354)(491, 1355)(492, 1356)(493, 1357)(494, 1358)(495, 1359)(496, 1360)(497, 1361)(498, 1362)(499, 1363)(500, 1364)(501, 1365)(502, 1366)(503, 1367)(504, 1368)(505, 1369)(506, 1370)(507, 1371)(508, 1372)(509, 1373)(510, 1374)(511, 1375)(512, 1376)(513, 1377)(514, 1378)(515, 1379)(516, 1380)(517, 1381)(518, 1382)(519, 1383)(520, 1384)(521, 1385)(522, 1386)(523, 1387)(524, 1388)(525, 1389)(526, 1390)(527, 1391)(528, 1392)(529, 1393)(530, 1394)(531, 1395)(532, 1396)(533, 1397)(534, 1398)(535, 1399)(536, 1400)(537, 1401)(538, 1402)(539, 1403)(540, 1404)(541, 1405)(542, 1406)(543, 1407)(544, 1408)(545, 1409)(546, 1410)(547, 1411)(548, 1412)(549, 1413)(550, 1414)(551, 1415)(552, 1416)(553, 1417)(554, 1418)(555, 1419)(556, 1420)(557, 1421)(558, 1422)(559, 1423)(560, 1424)(561, 1425)(562, 1426)(563, 1427)(564, 1428)(565, 1429)(566, 1430)(567, 1431)(568, 1432)(569, 1433)(570, 1434)(571, 1435)(572, 1436)(573, 1437)(574, 1438)(575, 1439)(576, 1440)(577, 1441)(578, 1442)(579, 1443)(580, 1444)(581, 1445)(582, 1446)(583, 1447)(584, 1448)(585, 1449)(586, 1450)(587, 1451)(588, 1452)(589, 1453)(590, 1454)(591, 1455)(592, 1456)(593, 1457)(594, 1458)(595, 1459)(596, 1460)(597, 1461)(598, 1462)(599, 1463)(600, 1464)(601, 1465)(602, 1466)(603, 1467)(604, 1468)(605, 1469)(606, 1470)(607, 1471)(608, 1472)(609, 1473)(610, 1474)(611, 1475)(612, 1476)(613, 1477)(614, 1478)(615, 1479)(616, 1480)(617, 1481)(618, 1482)(619, 1483)(620, 1484)(621, 1485)(622, 1486)(623, 1487)(624, 1488)(625, 1489)(626, 1490)(627, 1491)(628, 1492)(629, 1493)(630, 1494)(631, 1495)(632, 1496)(633, 1497)(634, 1498)(635, 1499)(636, 1500)(637, 1501)(638, 1502)(639, 1503)(640, 1504)(641, 1505)(642, 1506)(643, 1507)(644, 1508)(645, 1509)(646, 1510)(647, 1511)(648, 1512)(649, 1513)(650, 1514)(651, 1515)(652, 1516)(653, 1517)(654, 1518)(655, 1519)(656, 1520)(657, 1521)(658, 1522)(659, 1523)(660, 1524)(661, 1525)(662, 1526)(663, 1527)(664, 1528)(665, 1529)(666, 1530)(667, 1531)(668, 1532)(669, 1533)(670, 1534)(671, 1535)(672, 1536)(673, 1537)(674, 1538)(675, 1539)(676, 1540)(677, 1541)(678, 1542)(679, 1543)(680, 1544)(681, 1545)(682, 1546)(683, 1547)(684, 1548)(685, 1549)(686, 1550)(687, 1551)(688, 1552)(689, 1553)(690, 1554)(691, 1555)(692, 1556)(693, 1557)(694, 1558)(695, 1559)(696, 1560)(697, 1561)(698, 1562)(699, 1563)(700, 1564)(701, 1565)(702, 1566)(703, 1567)(704, 1568)(705, 1569)(706, 1570)(707, 1571)(708, 1572)(709, 1573)(710, 1574)(711, 1575)(712, 1576)(713, 1577)(714, 1578)(715, 1579)(716, 1580)(717, 1581)(718, 1582)(719, 1583)(720, 1584)(721, 1585)(722, 1586)(723, 1587)(724, 1588)(725, 1589)(726, 1590)(727, 1591)(728, 1592)(729, 1593)(730, 1594)(731, 1595)(732, 1596)(733, 1597)(734, 1598)(735, 1599)(736, 1600)(737, 1601)(738, 1602)(739, 1603)(740, 1604)(741, 1605)(742, 1606)(743, 1607)(744, 1608)(745, 1609)(746, 1610)(747, 1611)(748, 1612)(749, 1613)(750, 1614)(751, 1615)(752, 1616)(753, 1617)(754, 1618)(755, 1619)(756, 1620)(757, 1621)(758, 1622)(759, 1623)(760, 1624)(761, 1625)(762, 1626)(763, 1627)(764, 1628)(765, 1629)(766, 1630)(767, 1631)(768, 1632)(769, 1633)(770, 1634)(771, 1635)(772, 1636)(773, 1637)(774, 1638)(775, 1639)(776, 1640)(777, 1641)(778, 1642)(779, 1643)(780, 1644)(781, 1645)(782, 1646)(783, 1647)(784, 1648)(785, 1649)(786, 1650)(787, 1651)(788, 1652)(789, 1653)(790, 1654)(791, 1655)(792, 1656)(793, 1657)(794, 1658)(795, 1659)(796, 1660)(797, 1661)(798, 1662)(799, 1663)(800, 1664)(801, 1665)(802, 1666)(803, 1667)(804, 1668)(805, 1669)(806, 1670)(807, 1671)(808, 1672)(809, 1673)(810, 1674)(811, 1675)(812, 1676)(813, 1677)(814, 1678)(815, 1679)(816, 1680)(817, 1681)(818, 1682)(819, 1683)(820, 1684)(821, 1685)(822, 1686)(823, 1687)(824, 1688)(825, 1689)(826, 1690)(827, 1691)(828, 1692)(829, 1693)(830, 1694)(831, 1695)(832, 1696)(833, 1697)(834, 1698)(835, 1699)(836, 1700)(837, 1701)(838, 1702)(839, 1703)(840, 1704)(841, 1705)(842, 1706)(843, 1707)(844, 1708)(845, 1709)(846, 1710)(847, 1711)(848, 1712)(849, 1713)(850, 1714)(851, 1715)(852, 1716)(853, 1717)(854, 1718)(855, 1719)(856, 1720)(857, 1721)(858, 1722)(859, 1723)(860, 1724)(861, 1725)(862, 1726)(863, 1727)(864, 1728)
	local type(s) :: { ( 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E19.2428
Graph:: bipartite
	v = 252 e = 864 f = 576
	degree seq :: [ 4^216, 24^36 ]

E19.2428 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3 x Q8) : C3) : C2 (small group id <432, 269>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y3^-1)^2, (Y1 * Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-3 * Y1 * Y3^-2)^2, Y3^12, Y3^-2 * Y1^-1 * Y3^7 * Y1 * Y3 * Y1^-1 * Y3^-4, Y3^2 * Y1^-1 * Y3^-3 * Y1 * Y3^-2 * Y1 * Y3^-3 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1, Y3^-1 * Y1^-1 * Y3^2 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3^-3, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 433, 2, 434, 4, 436)(3, 435, 8, 440, 10, 442)(5, 437, 12, 444, 6, 438)(7, 439, 15, 447, 11, 443)(9, 441, 18, 450, 20, 452)(13, 445, 25, 457, 23, 455)(14, 446, 24, 456, 28, 460)(16, 448, 31, 463, 29, 461)(17, 449, 33, 465, 21, 453)(19, 451, 36, 468, 38, 470)(22, 454, 30, 462, 42, 474)(26, 458, 47, 479, 45, 477)(27, 459, 49, 481, 51, 483)(32, 464, 57, 489, 55, 487)(34, 466, 61, 493, 59, 491)(35, 467, 63, 495, 39, 471)(37, 469, 66, 498, 68, 500)(40, 472, 60, 492, 72, 504)(41, 473, 73, 505, 75, 507)(43, 475, 46, 478, 78, 510)(44, 476, 79, 511, 52, 484)(48, 480, 85, 517, 83, 515)(50, 482, 88, 520, 90, 522)(53, 485, 56, 488, 94, 526)(54, 486, 95, 527, 76, 508)(58, 490, 101, 533, 99, 531)(62, 494, 107, 539, 105, 537)(64, 496, 111, 543, 109, 541)(65, 497, 113, 545, 69, 501)(67, 499, 116, 548, 102, 534)(70, 502, 110, 542, 121, 553)(71, 503, 122, 554, 124, 556)(74, 506, 127, 559, 129, 561)(77, 509, 132, 564, 134, 566)(80, 512, 138, 570, 136, 568)(81, 513, 84, 516, 140, 572)(82, 514, 141, 573, 135, 567)(86, 518, 128, 560, 143, 575)(87, 519, 144, 576, 91, 523)(89, 521, 147, 579, 108, 540)(92, 524, 137, 569, 152, 584)(93, 525, 153, 585, 155, 587)(96, 528, 159, 591, 157, 589)(97, 529, 100, 532, 161, 593)(98, 530, 162, 594, 156, 588)(103, 535, 106, 538, 165, 597)(104, 536, 166, 598, 125, 557)(112, 544, 175, 607, 173, 605)(114, 546, 178, 610, 176, 608)(115, 547, 180, 612, 118, 550)(117, 549, 148, 580, 170, 602)(119, 551, 177, 609, 182, 614)(120, 552, 183, 615, 184, 616)(123, 555, 187, 619, 142, 574)(126, 558, 190, 622, 130, 562)(131, 563, 158, 590, 192, 624)(133, 565, 194, 626, 163, 595)(139, 571, 200, 632, 201, 633)(145, 577, 205, 637, 203, 635)(146, 578, 207, 639, 149, 581)(150, 582, 204, 636, 209, 641)(151, 583, 210, 642, 211, 643)(154, 586, 214, 646, 168, 600)(160, 592, 220, 652, 221, 653)(164, 596, 223, 655, 225, 657)(167, 599, 229, 661, 227, 659)(169, 601, 231, 663, 226, 658)(171, 603, 174, 606, 233, 665)(172, 604, 234, 666, 185, 617)(179, 611, 242, 674, 240, 672)(181, 613, 244, 676, 243, 675)(186, 618, 249, 681, 188, 620)(189, 621, 228, 660, 251, 683)(191, 623, 253, 685, 252, 684)(193, 625, 255, 687, 195, 627)(196, 628, 202, 634, 260, 692)(197, 629, 199, 631, 262, 694)(198, 630, 263, 695, 212, 644)(206, 638, 257, 689, 269, 701)(208, 640, 272, 704, 271, 703)(213, 645, 277, 709, 215, 647)(216, 648, 222, 654, 282, 714)(217, 649, 219, 651, 284, 716)(218, 650, 285, 717, 254, 686)(224, 656, 290, 722, 236, 668)(230, 662, 279, 711, 296, 728)(232, 664, 298, 730, 300, 732)(235, 667, 304, 736, 302, 734)(237, 669, 306, 738, 301, 733)(238, 670, 241, 673, 308, 740)(239, 671, 309, 741, 245, 677)(246, 678, 316, 748, 247, 679)(248, 680, 303, 735, 318, 750)(250, 682, 320, 752, 319, 751)(256, 688, 327, 759, 325, 757)(258, 690, 326, 758, 329, 761)(259, 691, 330, 762, 331, 763)(261, 693, 333, 765, 334, 766)(264, 696, 336, 768, 265, 697)(266, 698, 338, 770, 332, 764)(267, 699, 270, 702, 340, 772)(268, 700, 341, 773, 273, 705)(274, 706, 348, 780, 275, 707)(276, 708, 335, 767, 350, 782)(278, 710, 353, 785, 351, 783)(280, 712, 352, 784, 355, 787)(281, 713, 356, 788, 357, 789)(283, 715, 359, 791, 360, 792)(286, 718, 362, 794, 287, 719)(288, 720, 364, 796, 358, 790)(289, 721, 365, 797, 291, 723)(292, 724, 297, 729, 370, 802)(293, 725, 295, 727, 372, 804)(294, 726, 373, 805, 321, 753)(299, 731, 377, 809, 311, 743)(305, 737, 367, 799, 383, 815)(307, 739, 385, 817, 386, 818)(310, 742, 390, 822, 388, 820)(312, 744, 347, 779, 387, 819)(313, 745, 314, 746, 391, 823)(315, 747, 389, 821, 393, 825)(317, 749, 363, 795, 394, 826)(322, 754, 323, 755, 398, 830)(324, 756, 361, 793, 392, 824)(328, 760, 397, 829, 343, 775)(337, 769, 406, 838, 375, 807)(339, 771, 407, 839, 408, 840)(342, 774, 411, 843, 410, 842)(344, 776, 371, 803, 409, 841)(345, 777, 346, 778, 381, 813)(349, 781, 368, 800, 412, 844)(354, 786, 404, 836, 374, 806)(366, 798, 418, 850, 417, 849)(369, 801, 419, 851, 420, 852)(376, 808, 413, 845, 378, 810)(379, 811, 384, 816, 400, 832)(380, 812, 382, 814, 415, 847)(395, 827, 396, 828, 405, 837)(399, 831, 401, 833, 416, 848)(402, 834, 414, 846, 403, 835)(421, 853, 427, 859, 431, 863)(422, 854, 428, 860, 432, 864)(423, 855, 429, 861, 424, 856)(425, 857, 426, 858, 430, 862)(865, 1297)(866, 1298)(867, 1299)(868, 1300)(869, 1301)(870, 1302)(871, 1303)(872, 1304)(873, 1305)(874, 1306)(875, 1307)(876, 1308)(877, 1309)(878, 1310)(879, 1311)(880, 1312)(881, 1313)(882, 1314)(883, 1315)(884, 1316)(885, 1317)(886, 1318)(887, 1319)(888, 1320)(889, 1321)(890, 1322)(891, 1323)(892, 1324)(893, 1325)(894, 1326)(895, 1327)(896, 1328)(897, 1329)(898, 1330)(899, 1331)(900, 1332)(901, 1333)(902, 1334)(903, 1335)(904, 1336)(905, 1337)(906, 1338)(907, 1339)(908, 1340)(909, 1341)(910, 1342)(911, 1343)(912, 1344)(913, 1345)(914, 1346)(915, 1347)(916, 1348)(917, 1349)(918, 1350)(919, 1351)(920, 1352)(921, 1353)(922, 1354)(923, 1355)(924, 1356)(925, 1357)(926, 1358)(927, 1359)(928, 1360)(929, 1361)(930, 1362)(931, 1363)(932, 1364)(933, 1365)(934, 1366)(935, 1367)(936, 1368)(937, 1369)(938, 1370)(939, 1371)(940, 1372)(941, 1373)(942, 1374)(943, 1375)(944, 1376)(945, 1377)(946, 1378)(947, 1379)(948, 1380)(949, 1381)(950, 1382)(951, 1383)(952, 1384)(953, 1385)(954, 1386)(955, 1387)(956, 1388)(957, 1389)(958, 1390)(959, 1391)(960, 1392)(961, 1393)(962, 1394)(963, 1395)(964, 1396)(965, 1397)(966, 1398)(967, 1399)(968, 1400)(969, 1401)(970, 1402)(971, 1403)(972, 1404)(973, 1405)(974, 1406)(975, 1407)(976, 1408)(977, 1409)(978, 1410)(979, 1411)(980, 1412)(981, 1413)(982, 1414)(983, 1415)(984, 1416)(985, 1417)(986, 1418)(987, 1419)(988, 1420)(989, 1421)(990, 1422)(991, 1423)(992, 1424)(993, 1425)(994, 1426)(995, 1427)(996, 1428)(997, 1429)(998, 1430)(999, 1431)(1000, 1432)(1001, 1433)(1002, 1434)(1003, 1435)(1004, 1436)(1005, 1437)(1006, 1438)(1007, 1439)(1008, 1440)(1009, 1441)(1010, 1442)(1011, 1443)(1012, 1444)(1013, 1445)(1014, 1446)(1015, 1447)(1016, 1448)(1017, 1449)(1018, 1450)(1019, 1451)(1020, 1452)(1021, 1453)(1022, 1454)(1023, 1455)(1024, 1456)(1025, 1457)(1026, 1458)(1027, 1459)(1028, 1460)(1029, 1461)(1030, 1462)(1031, 1463)(1032, 1464)(1033, 1465)(1034, 1466)(1035, 1467)(1036, 1468)(1037, 1469)(1038, 1470)(1039, 1471)(1040, 1472)(1041, 1473)(1042, 1474)(1043, 1475)(1044, 1476)(1045, 1477)(1046, 1478)(1047, 1479)(1048, 1480)(1049, 1481)(1050, 1482)(1051, 1483)(1052, 1484)(1053, 1485)(1054, 1486)(1055, 1487)(1056, 1488)(1057, 1489)(1058, 1490)(1059, 1491)(1060, 1492)(1061, 1493)(1062, 1494)(1063, 1495)(1064, 1496)(1065, 1497)(1066, 1498)(1067, 1499)(1068, 1500)(1069, 1501)(1070, 1502)(1071, 1503)(1072, 1504)(1073, 1505)(1074, 1506)(1075, 1507)(1076, 1508)(1077, 1509)(1078, 1510)(1079, 1511)(1080, 1512)(1081, 1513)(1082, 1514)(1083, 1515)(1084, 1516)(1085, 1517)(1086, 1518)(1087, 1519)(1088, 1520)(1089, 1521)(1090, 1522)(1091, 1523)(1092, 1524)(1093, 1525)(1094, 1526)(1095, 1527)(1096, 1528)(1097, 1529)(1098, 1530)(1099, 1531)(1100, 1532)(1101, 1533)(1102, 1534)(1103, 1535)(1104, 1536)(1105, 1537)(1106, 1538)(1107, 1539)(1108, 1540)(1109, 1541)(1110, 1542)(1111, 1543)(1112, 1544)(1113, 1545)(1114, 1546)(1115, 1547)(1116, 1548)(1117, 1549)(1118, 1550)(1119, 1551)(1120, 1552)(1121, 1553)(1122, 1554)(1123, 1555)(1124, 1556)(1125, 1557)(1126, 1558)(1127, 1559)(1128, 1560)(1129, 1561)(1130, 1562)(1131, 1563)(1132, 1564)(1133, 1565)(1134, 1566)(1135, 1567)(1136, 1568)(1137, 1569)(1138, 1570)(1139, 1571)(1140, 1572)(1141, 1573)(1142, 1574)(1143, 1575)(1144, 1576)(1145, 1577)(1146, 1578)(1147, 1579)(1148, 1580)(1149, 1581)(1150, 1582)(1151, 1583)(1152, 1584)(1153, 1585)(1154, 1586)(1155, 1587)(1156, 1588)(1157, 1589)(1158, 1590)(1159, 1591)(1160, 1592)(1161, 1593)(1162, 1594)(1163, 1595)(1164, 1596)(1165, 1597)(1166, 1598)(1167, 1599)(1168, 1600)(1169, 1601)(1170, 1602)(1171, 1603)(1172, 1604)(1173, 1605)(1174, 1606)(1175, 1607)(1176, 1608)(1177, 1609)(1178, 1610)(1179, 1611)(1180, 1612)(1181, 1613)(1182, 1614)(1183, 1615)(1184, 1616)(1185, 1617)(1186, 1618)(1187, 1619)(1188, 1620)(1189, 1621)(1190, 1622)(1191, 1623)(1192, 1624)(1193, 1625)(1194, 1626)(1195, 1627)(1196, 1628)(1197, 1629)(1198, 1630)(1199, 1631)(1200, 1632)(1201, 1633)(1202, 1634)(1203, 1635)(1204, 1636)(1205, 1637)(1206, 1638)(1207, 1639)(1208, 1640)(1209, 1641)(1210, 1642)(1211, 1643)(1212, 1644)(1213, 1645)(1214, 1646)(1215, 1647)(1216, 1648)(1217, 1649)(1218, 1650)(1219, 1651)(1220, 1652)(1221, 1653)(1222, 1654)(1223, 1655)(1224, 1656)(1225, 1657)(1226, 1658)(1227, 1659)(1228, 1660)(1229, 1661)(1230, 1662)(1231, 1663)(1232, 1664)(1233, 1665)(1234, 1666)(1235, 1667)(1236, 1668)(1237, 1669)(1238, 1670)(1239, 1671)(1240, 1672)(1241, 1673)(1242, 1674)(1243, 1675)(1244, 1676)(1245, 1677)(1246, 1678)(1247, 1679)(1248, 1680)(1249, 1681)(1250, 1682)(1251, 1683)(1252, 1684)(1253, 1685)(1254, 1686)(1255, 1687)(1256, 1688)(1257, 1689)(1258, 1690)(1259, 1691)(1260, 1692)(1261, 1693)(1262, 1694)(1263, 1695)(1264, 1696)(1265, 1697)(1266, 1698)(1267, 1699)(1268, 1700)(1269, 1701)(1270, 1702)(1271, 1703)(1272, 1704)(1273, 1705)(1274, 1706)(1275, 1707)(1276, 1708)(1277, 1709)(1278, 1710)(1279, 1711)(1280, 1712)(1281, 1713)(1282, 1714)(1283, 1715)(1284, 1716)(1285, 1717)(1286, 1718)(1287, 1719)(1288, 1720)(1289, 1721)(1290, 1722)(1291, 1723)(1292, 1724)(1293, 1725)(1294, 1726)(1295, 1727)(1296, 1728)
	L = (1, 867)(2, 870)(3, 873)(4, 875)(5, 865)(6, 878)(7, 866)(8, 868)(9, 883)(10, 885)(11, 886)(12, 887)(13, 869)(14, 891)(15, 893)(16, 871)(17, 872)(18, 874)(19, 901)(20, 903)(21, 904)(22, 905)(23, 907)(24, 876)(25, 909)(26, 877)(27, 914)(28, 916)(29, 917)(30, 879)(31, 919)(32, 880)(33, 923)(34, 881)(35, 882)(36, 884)(37, 931)(38, 933)(39, 934)(40, 935)(41, 938)(42, 940)(43, 941)(44, 888)(45, 945)(46, 889)(47, 947)(48, 890)(49, 892)(50, 953)(51, 955)(52, 956)(53, 957)(54, 894)(55, 961)(56, 895)(57, 963)(58, 896)(59, 967)(60, 897)(61, 969)(62, 898)(63, 973)(64, 899)(65, 900)(66, 902)(67, 981)(68, 982)(69, 983)(70, 984)(71, 987)(72, 989)(73, 906)(74, 992)(75, 994)(76, 995)(77, 997)(78, 999)(79, 1000)(80, 908)(81, 1003)(82, 910)(83, 1006)(84, 911)(85, 1007)(86, 912)(87, 913)(88, 915)(89, 1012)(90, 1013)(91, 1014)(92, 1015)(93, 1018)(94, 1020)(95, 1021)(96, 918)(97, 1024)(98, 920)(99, 1027)(100, 921)(101, 980)(102, 922)(103, 1028)(104, 924)(105, 1032)(106, 925)(107, 1011)(108, 926)(109, 1035)(110, 927)(111, 1037)(112, 928)(113, 1040)(114, 929)(115, 930)(116, 932)(117, 950)(118, 944)(119, 946)(120, 948)(121, 1049)(122, 936)(123, 949)(124, 1052)(125, 1053)(126, 937)(127, 939)(128, 1034)(129, 976)(130, 1031)(131, 1033)(132, 942)(133, 965)(134, 1059)(135, 1060)(136, 1061)(137, 943)(138, 1044)(139, 1045)(140, 1048)(141, 1046)(142, 1043)(143, 993)(144, 1067)(145, 951)(146, 952)(147, 954)(148, 966)(149, 960)(150, 962)(151, 964)(152, 1076)(153, 958)(154, 971)(155, 1079)(156, 1080)(157, 1081)(158, 959)(159, 1071)(160, 1072)(161, 1075)(162, 1073)(163, 1070)(164, 1088)(165, 1090)(166, 1091)(167, 968)(168, 1094)(169, 970)(170, 972)(171, 1096)(172, 974)(173, 1100)(174, 975)(175, 991)(176, 1102)(177, 977)(178, 1104)(179, 978)(180, 1107)(181, 979)(182, 1109)(183, 985)(184, 1111)(185, 1112)(186, 986)(187, 988)(188, 1099)(189, 1101)(190, 1116)(191, 990)(192, 1118)(193, 996)(194, 998)(195, 1122)(196, 1123)(197, 1125)(198, 1001)(199, 1002)(200, 1004)(201, 1129)(202, 1005)(203, 1131)(204, 1008)(205, 1133)(206, 1009)(207, 1135)(208, 1010)(209, 1137)(210, 1016)(211, 1139)(212, 1140)(213, 1017)(214, 1019)(215, 1144)(216, 1145)(217, 1147)(218, 1022)(219, 1023)(220, 1025)(221, 1151)(222, 1026)(223, 1029)(224, 1039)(225, 1155)(226, 1156)(227, 1157)(228, 1030)(229, 1054)(230, 1055)(231, 1056)(232, 1163)(233, 1165)(234, 1166)(235, 1036)(236, 1169)(237, 1038)(238, 1171)(239, 1041)(240, 1175)(241, 1042)(242, 1051)(243, 1177)(244, 1065)(245, 1179)(246, 1047)(247, 1174)(248, 1176)(249, 1183)(250, 1050)(251, 1185)(252, 1186)(253, 1160)(254, 1188)(255, 1189)(256, 1057)(257, 1058)(258, 1062)(259, 1063)(260, 1196)(261, 1192)(262, 1195)(263, 1193)(264, 1064)(265, 1201)(266, 1066)(267, 1203)(268, 1068)(269, 1207)(270, 1069)(271, 1209)(272, 1085)(273, 1211)(274, 1074)(275, 1206)(276, 1208)(277, 1215)(278, 1077)(279, 1078)(280, 1082)(281, 1083)(282, 1222)(283, 1218)(284, 1221)(285, 1219)(286, 1084)(287, 1227)(288, 1086)(289, 1087)(290, 1089)(291, 1232)(292, 1233)(293, 1235)(294, 1092)(295, 1093)(296, 1238)(297, 1095)(298, 1097)(299, 1106)(300, 1242)(301, 1243)(302, 1244)(303, 1098)(304, 1113)(305, 1114)(306, 1115)(307, 1128)(308, 1251)(309, 1252)(310, 1103)(311, 1228)(312, 1105)(313, 1120)(314, 1108)(315, 1256)(316, 1258)(317, 1110)(318, 1210)(319, 1259)(320, 1247)(321, 1261)(322, 1230)(323, 1117)(324, 1257)(325, 1263)(326, 1119)(327, 1255)(328, 1121)(329, 1248)(330, 1124)(331, 1267)(332, 1268)(333, 1126)(334, 1260)(335, 1127)(336, 1250)(337, 1130)(338, 1239)(339, 1150)(340, 1273)(341, 1274)(342, 1132)(343, 1237)(344, 1134)(345, 1142)(346, 1136)(347, 1182)(348, 1276)(349, 1138)(350, 1231)(351, 1277)(352, 1141)(353, 1245)(354, 1143)(355, 1266)(356, 1146)(357, 1279)(358, 1241)(359, 1148)(360, 1265)(361, 1149)(362, 1272)(363, 1152)(364, 1181)(365, 1281)(366, 1153)(367, 1154)(368, 1158)(369, 1159)(370, 1270)(371, 1214)(372, 1284)(373, 1213)(374, 1202)(375, 1161)(376, 1162)(377, 1164)(378, 1217)(379, 1286)(380, 1220)(381, 1167)(382, 1168)(383, 1199)(384, 1170)(385, 1172)(386, 1288)(387, 1205)(388, 1289)(389, 1173)(390, 1180)(391, 1225)(392, 1178)(393, 1187)(394, 1226)(395, 1285)(396, 1184)(397, 1198)(398, 1253)(399, 1291)(400, 1190)(401, 1191)(402, 1194)(403, 1292)(404, 1224)(405, 1197)(406, 1200)(407, 1204)(408, 1287)(409, 1236)(410, 1290)(411, 1212)(412, 1229)(413, 1295)(414, 1216)(415, 1296)(416, 1223)(417, 1293)(418, 1262)(419, 1234)(420, 1294)(421, 1240)(422, 1246)(423, 1249)(424, 1282)(425, 1283)(426, 1254)(427, 1269)(428, 1264)(429, 1271)(430, 1275)(431, 1280)(432, 1278)(433, 1297)(434, 1298)(435, 1299)(436, 1300)(437, 1301)(438, 1302)(439, 1303)(440, 1304)(441, 1305)(442, 1306)(443, 1307)(444, 1308)(445, 1309)(446, 1310)(447, 1311)(448, 1312)(449, 1313)(450, 1314)(451, 1315)(452, 1316)(453, 1317)(454, 1318)(455, 1319)(456, 1320)(457, 1321)(458, 1322)(459, 1323)(460, 1324)(461, 1325)(462, 1326)(463, 1327)(464, 1328)(465, 1329)(466, 1330)(467, 1331)(468, 1332)(469, 1333)(470, 1334)(471, 1335)(472, 1336)(473, 1337)(474, 1338)(475, 1339)(476, 1340)(477, 1341)(478, 1342)(479, 1343)(480, 1344)(481, 1345)(482, 1346)(483, 1347)(484, 1348)(485, 1349)(486, 1350)(487, 1351)(488, 1352)(489, 1353)(490, 1354)(491, 1355)(492, 1356)(493, 1357)(494, 1358)(495, 1359)(496, 1360)(497, 1361)(498, 1362)(499, 1363)(500, 1364)(501, 1365)(502, 1366)(503, 1367)(504, 1368)(505, 1369)(506, 1370)(507, 1371)(508, 1372)(509, 1373)(510, 1374)(511, 1375)(512, 1376)(513, 1377)(514, 1378)(515, 1379)(516, 1380)(517, 1381)(518, 1382)(519, 1383)(520, 1384)(521, 1385)(522, 1386)(523, 1387)(524, 1388)(525, 1389)(526, 1390)(527, 1391)(528, 1392)(529, 1393)(530, 1394)(531, 1395)(532, 1396)(533, 1397)(534, 1398)(535, 1399)(536, 1400)(537, 1401)(538, 1402)(539, 1403)(540, 1404)(541, 1405)(542, 1406)(543, 1407)(544, 1408)(545, 1409)(546, 1410)(547, 1411)(548, 1412)(549, 1413)(550, 1414)(551, 1415)(552, 1416)(553, 1417)(554, 1418)(555, 1419)(556, 1420)(557, 1421)(558, 1422)(559, 1423)(560, 1424)(561, 1425)(562, 1426)(563, 1427)(564, 1428)(565, 1429)(566, 1430)(567, 1431)(568, 1432)(569, 1433)(570, 1434)(571, 1435)(572, 1436)(573, 1437)(574, 1438)(575, 1439)(576, 1440)(577, 1441)(578, 1442)(579, 1443)(580, 1444)(581, 1445)(582, 1446)(583, 1447)(584, 1448)(585, 1449)(586, 1450)(587, 1451)(588, 1452)(589, 1453)(590, 1454)(591, 1455)(592, 1456)(593, 1457)(594, 1458)(595, 1459)(596, 1460)(597, 1461)(598, 1462)(599, 1463)(600, 1464)(601, 1465)(602, 1466)(603, 1467)(604, 1468)(605, 1469)(606, 1470)(607, 1471)(608, 1472)(609, 1473)(610, 1474)(611, 1475)(612, 1476)(613, 1477)(614, 1478)(615, 1479)(616, 1480)(617, 1481)(618, 1482)(619, 1483)(620, 1484)(621, 1485)(622, 1486)(623, 1487)(624, 1488)(625, 1489)(626, 1490)(627, 1491)(628, 1492)(629, 1493)(630, 1494)(631, 1495)(632, 1496)(633, 1497)(634, 1498)(635, 1499)(636, 1500)(637, 1501)(638, 1502)(639, 1503)(640, 1504)(641, 1505)(642, 1506)(643, 1507)(644, 1508)(645, 1509)(646, 1510)(647, 1511)(648, 1512)(649, 1513)(650, 1514)(651, 1515)(652, 1516)(653, 1517)(654, 1518)(655, 1519)(656, 1520)(657, 1521)(658, 1522)(659, 1523)(660, 1524)(661, 1525)(662, 1526)(663, 1527)(664, 1528)(665, 1529)(666, 1530)(667, 1531)(668, 1532)(669, 1533)(670, 1534)(671, 1535)(672, 1536)(673, 1537)(674, 1538)(675, 1539)(676, 1540)(677, 1541)(678, 1542)(679, 1543)(680, 1544)(681, 1545)(682, 1546)(683, 1547)(684, 1548)(685, 1549)(686, 1550)(687, 1551)(688, 1552)(689, 1553)(690, 1554)(691, 1555)(692, 1556)(693, 1557)(694, 1558)(695, 1559)(696, 1560)(697, 1561)(698, 1562)(699, 1563)(700, 1564)(701, 1565)(702, 1566)(703, 1567)(704, 1568)(705, 1569)(706, 1570)(707, 1571)(708, 1572)(709, 1573)(710, 1574)(711, 1575)(712, 1576)(713, 1577)(714, 1578)(715, 1579)(716, 1580)(717, 1581)(718, 1582)(719, 1583)(720, 1584)(721, 1585)(722, 1586)(723, 1587)(724, 1588)(725, 1589)(726, 1590)(727, 1591)(728, 1592)(729, 1593)(730, 1594)(731, 1595)(732, 1596)(733, 1597)(734, 1598)(735, 1599)(736, 1600)(737, 1601)(738, 1602)(739, 1603)(740, 1604)(741, 1605)(742, 1606)(743, 1607)(744, 1608)(745, 1609)(746, 1610)(747, 1611)(748, 1612)(749, 1613)(750, 1614)(751, 1615)(752, 1616)(753, 1617)(754, 1618)(755, 1619)(756, 1620)(757, 1621)(758, 1622)(759, 1623)(760, 1624)(761, 1625)(762, 1626)(763, 1627)(764, 1628)(765, 1629)(766, 1630)(767, 1631)(768, 1632)(769, 1633)(770, 1634)(771, 1635)(772, 1636)(773, 1637)(774, 1638)(775, 1639)(776, 1640)(777, 1641)(778, 1642)(779, 1643)(780, 1644)(781, 1645)(782, 1646)(783, 1647)(784, 1648)(785, 1649)(786, 1650)(787, 1651)(788, 1652)(789, 1653)(790, 1654)(791, 1655)(792, 1656)(793, 1657)(794, 1658)(795, 1659)(796, 1660)(797, 1661)(798, 1662)(799, 1663)(800, 1664)(801, 1665)(802, 1666)(803, 1667)(804, 1668)(805, 1669)(806, 1670)(807, 1671)(808, 1672)(809, 1673)(810, 1674)(811, 1675)(812, 1676)(813, 1677)(814, 1678)(815, 1679)(816, 1680)(817, 1681)(818, 1682)(819, 1683)(820, 1684)(821, 1685)(822, 1686)(823, 1687)(824, 1688)(825, 1689)(826, 1690)(827, 1691)(828, 1692)(829, 1693)(830, 1694)(831, 1695)(832, 1696)(833, 1697)(834, 1698)(835, 1699)(836, 1700)(837, 1701)(838, 1702)(839, 1703)(840, 1704)(841, 1705)(842, 1706)(843, 1707)(844, 1708)(845, 1709)(846, 1710)(847, 1711)(848, 1712)(849, 1713)(850, 1714)(851, 1715)(852, 1716)(853, 1717)(854, 1718)(855, 1719)(856, 1720)(857, 1721)(858, 1722)(859, 1723)(860, 1724)(861, 1725)(862, 1726)(863, 1727)(864, 1728)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E19.2427
Graph:: simple bipartite
	v = 576 e = 864 f = 252
	degree seq :: [ 2^432, 6^144 ]

E19.2429 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 5})
Quotient :: regular
Aut^+ = C2 x A6 (small group id <720, 766>)
Aut   = $<1440, 5843>$ (small group id <1440, 5843>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5, (T2 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^4, T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1, T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1, (T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 10, 4)(3, 7, 14, 17, 8)(6, 12, 23, 26, 13)(9, 18, 32, 34, 19)(11, 21, 37, 40, 22)(15, 28, 47, 49, 29)(16, 30, 50, 42, 24)(20, 35, 58, 60, 36)(25, 43, 68, 62, 38)(27, 45, 72, 75, 46)(31, 52, 82, 84, 53)(33, 55, 87, 89, 56)(39, 63, 98, 93, 59)(41, 65, 102, 105, 66)(44, 70, 110, 112, 71)(48, 77, 119, 114, 73)(51, 80, 125, 127, 81)(54, 85, 131, 134, 86)(57, 90, 138, 140, 91)(61, 95, 146, 149, 96)(64, 100, 154, 156, 101)(67, 106, 161, 158, 103)(69, 108, 165, 167, 109)(74, 115, 174, 129, 83)(76, 117, 178, 180, 118)(78, 121, 183, 185, 122)(79, 123, 186, 189, 124)(88, 136, 204, 199, 132)(92, 141, 210, 213, 142)(94, 144, 215, 217, 145)(97, 150, 222, 219, 147)(99, 152, 226, 228, 153)(104, 159, 235, 169, 111)(107, 163, 240, 243, 164)(113, 171, 251, 254, 172)(116, 176, 259, 261, 177)(120, 182, 266, 241, 166)(126, 191, 276, 271, 187)(128, 193, 279, 282, 194)(130, 196, 283, 285, 197)(133, 200, 289, 208, 139)(135, 202, 293, 295, 203)(137, 205, 296, 298, 206)(143, 214, 307, 304, 211)(148, 220, 314, 230, 155)(151, 224, 319, 322, 225)(157, 232, 330, 333, 233)(160, 237, 337, 339, 238)(162, 188, 272, 320, 227)(168, 246, 347, 350, 247)(170, 249, 351, 353, 250)(173, 255, 358, 355, 252)(175, 257, 361, 362, 258)(179, 263, 321, 268, 184)(181, 245, 346, 371, 265)(190, 274, 384, 386, 275)(192, 277, 387, 389, 278)(195, 236, 336, 391, 280)(198, 286, 397, 400, 287)(201, 291, 404, 406, 292)(207, 299, 411, 413, 300)(209, 301, 414, 416, 302)(212, 305, 420, 309, 216)(218, 311, 428, 431, 312)(221, 316, 435, 437, 317)(223, 242, 342, 297, 294)(229, 325, 444, 447, 326)(231, 328, 448, 450, 329)(234, 334, 455, 452, 331)(239, 324, 443, 461, 340)(244, 344, 467, 469, 345)(248, 315, 434, 472, 348)(253, 356, 440, 364, 260)(256, 360, 483, 433, 335)(262, 366, 488, 490, 367)(264, 368, 491, 493, 369)(267, 373, 449, 446, 374)(269, 376, 436, 430, 377)(270, 378, 501, 504, 379)(273, 382, 508, 510, 383)(281, 392, 439, 395, 284)(288, 401, 526, 525, 398)(290, 402, 528, 529, 403)(303, 417, 537, 539, 418)(306, 422, 542, 543, 423)(308, 424, 544, 545, 425)(310, 426, 546, 547, 427)(313, 432, 551, 549, 429)(318, 408, 532, 556, 438)(323, 441, 557, 559, 442)(327, 421, 541, 562, 445)(332, 453, 410, 458, 338)(341, 462, 415, 412, 463)(343, 465, 405, 399, 466)(349, 473, 409, 476, 352)(354, 478, 587, 586, 477)(357, 475, 585, 591, 481)(359, 370, 494, 388, 385)(363, 485, 595, 584, 474)(365, 471, 581, 597, 487)(372, 496, 606, 607, 497)(375, 480, 590, 608, 498)(380, 505, 612, 611, 502)(381, 506, 613, 614, 507)(390, 515, 618, 620, 516)(393, 519, 623, 624, 520)(394, 521, 625, 626, 522)(396, 523, 627, 628, 524)(407, 530, 632, 634, 531)(419, 540, 645, 644, 538)(451, 566, 666, 665, 565)(454, 564, 664, 669, 568)(456, 460, 573, 470, 468)(457, 570, 671, 663, 563)(459, 561, 661, 673, 572)(464, 576, 677, 678, 577)(479, 589, 659, 686, 588)(482, 512, 617, 662, 592)(484, 593, 654, 660, 594)(486, 518, 622, 658, 596)(489, 527, 514, 601, 492)(495, 604, 509, 503, 605)(499, 609, 513, 610, 500)(511, 615, 697, 698, 616)(517, 621, 700, 699, 619)(533, 636, 687, 689, 637)(534, 638, 694, 674, 639)(535, 640, 705, 696, 641)(536, 642, 706, 707, 643)(548, 651, 710, 709, 650)(550, 649, 695, 712, 653)(552, 555, 657, 560, 558)(553, 655, 603, 693, 648)(554, 647, 708, 713, 656)(567, 668, 704, 715, 667)(569, 580, 681, 631, 670)(571, 583, 684, 600, 672)(574, 675, 578, 575, 676)(579, 679, 702, 629, 680)(582, 683, 630, 599, 682)(598, 692, 711, 652, 691)(602, 690, 635, 633, 646)(685, 714, 719, 718, 703)(688, 701, 717, 720, 716)
	L = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 31)(18, 33)(19, 28)(21, 38)(22, 39)(23, 41)(26, 44)(29, 48)(30, 51)(32, 54)(34, 57)(35, 59)(36, 55)(37, 61)(40, 64)(42, 67)(43, 69)(45, 73)(46, 74)(47, 76)(49, 78)(50, 79)(52, 83)(53, 80)(56, 88)(58, 92)(60, 94)(62, 97)(63, 99)(65, 103)(66, 104)(68, 107)(70, 111)(71, 108)(72, 113)(75, 116)(77, 120)(81, 126)(82, 128)(84, 130)(85, 132)(86, 133)(87, 135)(89, 137)(90, 139)(91, 117)(93, 143)(95, 147)(96, 148)(98, 151)(100, 155)(101, 152)(102, 157)(105, 160)(106, 162)(109, 166)(110, 168)(112, 170)(114, 173)(115, 175)(118, 179)(119, 181)(121, 184)(122, 182)(123, 187)(124, 188)(125, 190)(127, 192)(129, 195)(131, 198)(134, 201)(136, 191)(138, 207)(140, 209)(141, 211)(142, 212)(144, 216)(145, 202)(146, 218)(149, 221)(150, 223)(153, 227)(154, 229)(156, 231)(158, 234)(159, 236)(161, 239)(163, 241)(164, 242)(165, 244)(167, 245)(169, 248)(171, 252)(172, 253)(174, 256)(176, 260)(177, 257)(178, 262)(180, 264)(183, 267)(185, 269)(186, 270)(189, 273)(193, 280)(194, 281)(196, 284)(197, 274)(199, 288)(200, 290)(203, 294)(204, 278)(205, 297)(206, 276)(208, 258)(210, 303)(213, 306)(214, 263)(215, 308)(217, 310)(219, 313)(220, 315)(222, 318)(224, 320)(225, 321)(226, 323)(228, 324)(230, 327)(232, 331)(233, 332)(235, 335)(237, 338)(238, 336)(240, 341)(243, 343)(246, 348)(247, 349)(249, 352)(250, 344)(251, 354)(254, 357)(255, 359)(259, 363)(261, 365)(265, 370)(266, 372)(268, 375)(271, 380)(272, 381)(275, 385)(277, 388)(279, 390)(282, 393)(283, 394)(285, 396)(286, 398)(287, 399)(289, 360)(291, 405)(292, 402)(293, 407)(295, 408)(296, 409)(298, 410)(299, 362)(300, 412)(301, 415)(302, 366)(304, 419)(305, 421)(307, 369)(309, 403)(311, 429)(312, 430)(314, 433)(316, 436)(317, 434)(319, 439)(322, 440)(325, 445)(326, 446)(328, 449)(329, 441)(330, 451)(333, 454)(334, 456)(337, 457)(339, 459)(340, 460)(342, 464)(345, 468)(346, 470)(347, 471)(350, 474)(351, 475)(353, 477)(355, 479)(356, 480)(358, 482)(361, 484)(364, 486)(367, 489)(368, 492)(371, 495)(373, 498)(374, 499)(376, 500)(377, 496)(378, 502)(379, 503)(382, 509)(383, 506)(384, 511)(386, 512)(387, 513)(389, 514)(391, 517)(392, 518)(395, 507)(397, 523)(400, 522)(401, 527)(404, 519)(406, 516)(411, 533)(413, 534)(414, 535)(416, 536)(417, 538)(418, 510)(420, 483)(422, 508)(423, 541)(424, 529)(425, 504)(426, 501)(427, 530)(428, 548)(431, 550)(432, 552)(435, 553)(437, 554)(438, 555)(442, 558)(443, 560)(444, 561)(447, 563)(448, 564)(450, 565)(452, 567)(453, 505)(455, 569)(458, 571)(461, 574)(462, 497)(463, 575)(465, 578)(466, 576)(467, 579)(469, 580)(472, 582)(473, 583)(476, 577)(478, 588)(481, 590)(485, 596)(487, 593)(488, 598)(490, 599)(491, 600)(493, 602)(494, 603)(515, 619)(520, 622)(521, 614)(524, 615)(525, 629)(526, 630)(528, 631)(531, 633)(532, 635)(537, 642)(539, 641)(540, 646)(542, 638)(543, 637)(544, 647)(545, 648)(546, 649)(547, 650)(549, 652)(551, 654)(556, 658)(557, 659)(559, 660)(562, 662)(566, 667)(568, 612)(570, 672)(572, 621)(573, 674)(581, 682)(584, 684)(585, 678)(586, 679)(587, 685)(589, 687)(591, 688)(592, 689)(594, 636)(595, 690)(597, 691)(601, 671)(604, 694)(605, 693)(606, 653)(607, 640)(608, 664)(609, 663)(610, 655)(611, 695)(613, 696)(616, 673)(617, 661)(618, 668)(620, 670)(623, 675)(624, 657)(625, 701)(626, 677)(627, 702)(628, 703)(632, 704)(634, 699)(639, 676)(643, 692)(644, 698)(645, 700)(651, 711)(656, 683)(665, 686)(666, 714)(669, 716)(680, 713)(681, 708)(697, 706)(705, 717)(707, 718)(709, 715)(710, 719)(712, 720)
	local type(s) :: { ( 4^5 ) }
Outer automorphisms :: reflexible
Dual of E19.2430
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 144 e = 360 f = 180
	degree seq :: [ 5^144 ]

E19.2430 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 5})
Quotient :: regular
Aut^+ = C2 x A6 (small group id <720, 766>)
Aut   = $<1440, 5843>$ (small group id <1440, 5843>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^5, (T1 * T2 * T1^-1 * T2)^4, T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 57, 36)(22, 37, 59, 38)(23, 39, 61, 40)(29, 47, 73, 48)(30, 49, 65, 42)(32, 51, 78, 52)(33, 53, 80, 54)(34, 55, 82, 56)(43, 66, 99, 67)(45, 69, 103, 70)(46, 71, 105, 72)(50, 76, 113, 77)(58, 86, 129, 87)(60, 89, 133, 90)(62, 92, 137, 93)(63, 94, 139, 95)(64, 96, 141, 97)(68, 101, 148, 102)(74, 109, 161, 110)(75, 111, 162, 112)(79, 117, 171, 118)(81, 120, 175, 121)(83, 123, 179, 124)(84, 125, 181, 126)(85, 127, 183, 128)(88, 131, 188, 132)(91, 135, 193, 136)(98, 144, 207, 145)(100, 147, 192, 134)(104, 152, 217, 153)(106, 155, 220, 156)(107, 157, 222, 158)(108, 159, 224, 160)(114, 165, 232, 166)(115, 167, 234, 168)(116, 169, 236, 170)(119, 173, 241, 174)(122, 177, 246, 178)(130, 187, 245, 176)(138, 197, 274, 198)(140, 200, 277, 201)(142, 203, 281, 204)(143, 205, 283, 206)(146, 209, 287, 210)(149, 212, 291, 213)(150, 214, 256, 184)(151, 215, 293, 216)(154, 218, 297, 219)(163, 172, 240, 229)(164, 230, 311, 231)(180, 250, 339, 251)(182, 253, 342, 254)(185, 257, 346, 258)(186, 259, 347, 260)(189, 262, 351, 263)(190, 264, 321, 237)(191, 265, 353, 266)(194, 268, 357, 269)(195, 270, 359, 271)(196, 272, 361, 273)(199, 275, 365, 276)(202, 279, 370, 280)(208, 286, 369, 278)(211, 289, 382, 290)(221, 284, 377, 301)(223, 303, 401, 304)(225, 243, 329, 306)(226, 307, 391, 296)(227, 295, 390, 308)(228, 309, 406, 310)(233, 315, 415, 316)(235, 318, 418, 319)(238, 322, 422, 323)(239, 324, 423, 325)(242, 327, 427, 328)(244, 330, 429, 331)(247, 333, 433, 334)(248, 335, 435, 336)(249, 337, 437, 338)(252, 340, 441, 341)(255, 343, 445, 344)(261, 349, 453, 350)(267, 355, 461, 356)(282, 374, 485, 375)(285, 378, 488, 379)(288, 381, 470, 362)(292, 386, 497, 387)(294, 367, 476, 389)(298, 393, 504, 394)(299, 395, 506, 396)(300, 397, 507, 398)(302, 399, 509, 400)(305, 402, 513, 403)(312, 409, 522, 410)(313, 411, 524, 412)(314, 413, 526, 414)(317, 416, 530, 417)(320, 419, 534, 420)(326, 425, 542, 426)(332, 431, 550, 432)(345, 448, 568, 449)(348, 452, 558, 438)(352, 457, 576, 458)(354, 443, 563, 460)(358, 465, 586, 466)(360, 468, 577, 459)(363, 471, 569, 450)(364, 447, 567, 472)(366, 474, 593, 475)(368, 477, 595, 478)(371, 480, 574, 455)(372, 481, 599, 482)(373, 483, 601, 484)(376, 486, 605, 487)(380, 490, 554, 434)(383, 444, 564, 493)(384, 494, 612, 495)(385, 496, 562, 442)(388, 498, 615, 499)(392, 502, 618, 503)(404, 515, 629, 516)(405, 517, 623, 508)(407, 511, 625, 519)(408, 520, 631, 521)(421, 537, 649, 538)(424, 541, 639, 527)(428, 546, 657, 547)(430, 532, 644, 549)(436, 556, 658, 548)(439, 559, 650, 539)(440, 536, 648, 560)(446, 566, 655, 544)(451, 570, 635, 523)(454, 533, 645, 573)(456, 575, 643, 531)(462, 580, 646, 581)(463, 582, 653, 583)(464, 584, 638, 585)(467, 578, 642, 587)(469, 571, 634, 588)(473, 591, 636, 592)(479, 597, 632, 598)(489, 535, 647, 602)(491, 553, 665, 608)(492, 609, 633, 610)(500, 561, 670, 617)(501, 528, 640, 613)(505, 540, 651, 622)(510, 545, 656, 603)(512, 626, 654, 543)(514, 628, 641, 529)(518, 525, 637, 630)(551, 661, 627, 662)(552, 663, 606, 664)(555, 659, 624, 666)(557, 652, 621, 667)(565, 673, 619, 674)(572, 678, 620, 679)(579, 660, 702, 683)(589, 688, 703, 668)(590, 689, 708, 684)(594, 691, 705, 671)(596, 686, 711, 693)(600, 677, 712, 692)(604, 687, 704, 696)(607, 682, 710, 697)(611, 675, 709, 698)(614, 699, 706, 690)(616, 680, 707, 685)(669, 716, 701, 713)(672, 714, 695, 718)(676, 715, 694, 719)(681, 720, 700, 717)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 35)(28, 46)(31, 50)(36, 58)(37, 60)(38, 51)(39, 62)(40, 63)(41, 64)(44, 68)(47, 54)(48, 74)(49, 75)(52, 79)(53, 81)(55, 83)(56, 84)(57, 85)(59, 88)(61, 91)(65, 98)(66, 100)(67, 92)(69, 95)(70, 104)(71, 106)(72, 107)(73, 108)(76, 114)(77, 115)(78, 116)(80, 119)(82, 122)(86, 130)(87, 123)(89, 126)(90, 134)(93, 138)(94, 140)(96, 142)(97, 143)(99, 146)(101, 149)(102, 150)(103, 151)(105, 154)(109, 152)(110, 155)(111, 158)(112, 163)(113, 164)(117, 172)(118, 165)(120, 168)(121, 176)(124, 180)(125, 182)(127, 184)(128, 185)(129, 186)(131, 189)(132, 190)(133, 191)(135, 194)(136, 195)(137, 196)(139, 199)(141, 202)(144, 208)(145, 203)(147, 206)(148, 211)(153, 212)(156, 221)(157, 223)(159, 225)(160, 226)(161, 227)(162, 228)(166, 233)(167, 235)(169, 237)(170, 238)(171, 239)(173, 242)(174, 243)(175, 244)(177, 247)(178, 248)(179, 249)(181, 252)(183, 255)(187, 258)(188, 261)(192, 262)(193, 267)(197, 257)(198, 268)(200, 271)(201, 278)(204, 282)(205, 284)(207, 285)(209, 266)(210, 288)(213, 254)(214, 292)(215, 294)(216, 295)(217, 296)(218, 298)(219, 299)(220, 300)(222, 302)(224, 305)(229, 286)(230, 312)(231, 313)(232, 314)(234, 317)(236, 320)(240, 323)(241, 326)(245, 327)(246, 332)(250, 322)(251, 333)(253, 336)(256, 345)(259, 331)(260, 348)(263, 319)(264, 352)(265, 354)(269, 358)(270, 360)(272, 362)(273, 363)(274, 364)(275, 366)(276, 367)(277, 368)(279, 371)(280, 372)(281, 373)(283, 376)(287, 380)(289, 383)(290, 384)(291, 385)(293, 388)(297, 392)(301, 393)(303, 396)(304, 328)(306, 404)(307, 315)(308, 405)(309, 407)(310, 324)(311, 408)(316, 409)(318, 412)(321, 421)(325, 424)(329, 428)(330, 430)(334, 434)(335, 436)(337, 438)(338, 439)(339, 440)(340, 442)(341, 443)(342, 444)(343, 446)(344, 447)(346, 450)(347, 451)(349, 454)(350, 455)(351, 456)(353, 459)(355, 462)(356, 463)(357, 464)(359, 467)(361, 469)(365, 473)(369, 474)(370, 479)(374, 471)(375, 480)(377, 482)(378, 478)(379, 489)(381, 491)(382, 492)(386, 495)(387, 475)(389, 500)(390, 465)(391, 501)(394, 505)(395, 498)(397, 508)(398, 486)(399, 510)(400, 511)(401, 512)(402, 494)(403, 514)(406, 518)(410, 523)(411, 525)(413, 527)(414, 528)(415, 529)(416, 531)(417, 532)(418, 533)(419, 535)(420, 536)(422, 539)(423, 540)(425, 543)(426, 544)(427, 545)(429, 548)(431, 551)(432, 552)(433, 553)(435, 555)(437, 557)(441, 561)(445, 565)(448, 559)(449, 566)(452, 571)(453, 572)(457, 574)(458, 562)(460, 578)(461, 579)(466, 580)(468, 583)(470, 589)(472, 590)(476, 594)(477, 596)(481, 600)(483, 602)(484, 603)(485, 604)(487, 575)(488, 606)(490, 607)(493, 611)(496, 613)(497, 614)(499, 616)(502, 619)(503, 620)(504, 621)(506, 617)(507, 608)(509, 624)(513, 627)(515, 605)(516, 612)(517, 585)(519, 592)(520, 632)(521, 633)(522, 634)(524, 636)(526, 638)(530, 642)(534, 646)(537, 640)(538, 647)(541, 652)(542, 653)(546, 655)(547, 643)(549, 659)(550, 660)(554, 661)(556, 664)(558, 668)(560, 669)(563, 671)(564, 672)(567, 675)(568, 676)(569, 656)(570, 677)(573, 680)(576, 681)(577, 682)(581, 663)(582, 673)(584, 684)(586, 685)(587, 686)(588, 687)(591, 690)(593, 650)(595, 692)(597, 679)(598, 635)(599, 694)(601, 695)(609, 637)(610, 662)(615, 678)(618, 683)(622, 674)(623, 688)(625, 691)(626, 700)(628, 697)(629, 701)(630, 698)(631, 702)(639, 703)(641, 704)(644, 705)(645, 706)(648, 707)(649, 708)(651, 709)(654, 710)(657, 711)(658, 712)(665, 713)(666, 714)(667, 715)(670, 717)(689, 718)(693, 719)(696, 720)(699, 716)
	local type(s) :: { ( 5^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2429
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 180 e = 360 f = 144
	degree seq :: [ 4^180 ]

E19.2431 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 5})
Quotient :: edge
Aut^+ = C2 x A6 (small group id <720, 766>)
Aut   = $<1440, 5843>$ (small group id <1440, 5843>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^5, (T2 * T1 * T2^-1 * T1)^4, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 44, 27)(20, 34, 55, 35)(23, 38, 60, 39)(25, 41, 65, 42)(28, 46, 71, 47)(30, 49, 50, 31)(33, 52, 80, 53)(36, 57, 86, 58)(40, 62, 94, 63)(43, 66, 99, 67)(45, 69, 104, 70)(48, 73, 109, 74)(51, 77, 116, 78)(54, 81, 121, 82)(56, 84, 126, 85)(59, 88, 131, 89)(61, 91, 136, 92)(64, 96, 142, 97)(68, 101, 149, 102)(72, 106, 156, 107)(75, 111, 162, 112)(76, 113, 165, 114)(79, 118, 171, 119)(83, 123, 178, 124)(87, 128, 185, 129)(90, 133, 191, 134)(93, 137, 196, 138)(95, 140, 201, 141)(98, 143, 204, 144)(100, 146, 209, 147)(103, 151, 215, 152)(105, 154, 219, 155)(108, 157, 222, 158)(110, 160, 227, 161)(115, 166, 233, 167)(117, 169, 238, 170)(120, 172, 241, 173)(122, 175, 246, 176)(125, 180, 252, 181)(127, 183, 256, 184)(130, 186, 259, 187)(132, 189, 264, 190)(135, 193, 267, 194)(139, 198, 274, 199)(145, 206, 283, 207)(148, 210, 287, 211)(150, 213, 292, 214)(153, 216, 295, 217)(159, 224, 304, 225)(163, 208, 285, 229)(164, 230, 311, 231)(168, 235, 318, 236)(174, 243, 327, 244)(177, 247, 331, 248)(179, 250, 336, 251)(182, 253, 339, 254)(188, 261, 348, 262)(192, 245, 329, 266)(195, 268, 357, 269)(197, 271, 362, 272)(200, 276, 346, 260)(202, 278, 323, 240)(203, 239, 322, 279)(205, 281, 375, 282)(212, 289, 384, 290)(218, 296, 391, 297)(220, 299, 344, 258)(221, 257, 343, 300)(223, 237, 320, 302)(226, 306, 403, 307)(228, 309, 407, 310)(232, 312, 410, 313)(234, 315, 415, 316)(242, 325, 428, 326)(249, 333, 437, 334)(255, 340, 444, 341)(263, 350, 456, 351)(265, 353, 460, 354)(270, 359, 466, 360)(273, 363, 470, 364)(275, 366, 474, 367)(277, 368, 475, 369)(280, 372, 480, 373)(284, 361, 468, 377)(286, 378, 486, 379)(288, 381, 490, 382)(291, 386, 478, 371)(293, 388, 462, 356)(294, 355, 461, 389)(298, 393, 504, 394)(301, 396, 508, 397)(303, 398, 509, 399)(305, 401, 513, 402)(308, 404, 516, 405)(314, 412, 525, 413)(317, 416, 529, 417)(319, 419, 533, 420)(321, 421, 534, 422)(324, 425, 539, 426)(328, 414, 527, 430)(330, 431, 545, 432)(332, 434, 549, 435)(335, 439, 537, 424)(337, 441, 521, 409)(338, 408, 520, 442)(342, 446, 563, 447)(345, 449, 567, 450)(347, 451, 568, 452)(349, 454, 572, 455)(352, 457, 575, 458)(358, 464, 583, 465)(365, 471, 589, 472)(370, 476, 593, 477)(374, 481, 597, 482)(376, 484, 600, 485)(380, 488, 604, 489)(383, 491, 606, 492)(385, 494, 610, 495)(387, 496, 611, 497)(390, 499, 615, 500)(392, 502, 618, 503)(395, 506, 621, 507)(400, 511, 625, 512)(406, 517, 629, 518)(411, 523, 635, 524)(418, 530, 641, 531)(423, 535, 645, 536)(427, 540, 649, 541)(429, 543, 652, 544)(433, 547, 656, 548)(436, 550, 658, 551)(438, 553, 662, 554)(440, 555, 663, 556)(443, 558, 667, 559)(445, 561, 670, 562)(448, 565, 673, 566)(453, 570, 677, 571)(459, 576, 681, 577)(463, 581, 642, 582)(467, 574, 631, 585)(469, 586, 686, 587)(473, 591, 683, 580)(479, 594, 690, 595)(483, 598, 692, 599)(487, 602, 694, 603)(493, 607, 696, 608)(498, 612, 697, 613)(501, 616, 699, 617)(505, 620, 695, 605)(510, 601, 693, 623)(514, 627, 698, 614)(515, 579, 637, 526)(519, 609, 676, 630)(522, 633, 590, 634)(528, 638, 705, 639)(532, 643, 702, 632)(538, 646, 709, 647)(542, 650, 711, 651)(546, 654, 713, 655)(552, 659, 715, 660)(557, 664, 716, 665)(560, 668, 718, 669)(564, 672, 714, 657)(569, 653, 712, 675)(573, 679, 717, 666)(578, 661, 624, 682)(584, 684, 622, 685)(588, 648, 619, 678)(592, 688, 628, 689)(596, 671, 626, 640)(636, 703, 674, 704)(644, 707, 680, 708)(687, 720, 700, 710)(691, 706, 701, 719)(721, 722)(723, 727)(724, 729)(725, 730)(726, 732)(728, 735)(731, 740)(733, 743)(734, 745)(736, 748)(737, 750)(738, 751)(739, 753)(741, 756)(742, 758)(744, 760)(746, 763)(747, 765)(749, 768)(752, 771)(754, 774)(755, 776)(757, 779)(759, 781)(761, 784)(762, 786)(764, 788)(766, 790)(767, 792)(769, 795)(770, 796)(772, 799)(773, 801)(775, 803)(777, 805)(778, 807)(780, 810)(782, 813)(783, 815)(785, 818)(787, 820)(789, 823)(791, 825)(793, 828)(794, 830)(797, 835)(798, 837)(800, 840)(802, 842)(804, 845)(806, 847)(808, 850)(809, 852)(811, 855)(812, 857)(814, 859)(816, 861)(817, 839)(819, 865)(821, 868)(822, 870)(824, 873)(826, 848)(827, 877)(829, 879)(831, 881)(832, 883)(833, 884)(834, 886)(836, 888)(838, 890)(841, 894)(843, 897)(844, 899)(846, 902)(849, 906)(851, 908)(853, 910)(854, 912)(856, 915)(858, 917)(860, 920)(862, 922)(863, 923)(864, 925)(866, 928)(867, 930)(869, 932)(871, 934)(872, 914)(874, 938)(875, 940)(876, 941)(878, 943)(880, 946)(882, 948)(885, 952)(887, 954)(889, 957)(891, 959)(892, 960)(893, 962)(895, 965)(896, 967)(898, 969)(900, 971)(901, 951)(903, 975)(904, 977)(905, 978)(907, 980)(909, 983)(911, 985)(913, 986)(916, 990)(918, 993)(919, 995)(921, 997)(924, 1000)(926, 1002)(927, 1004)(929, 1006)(931, 1008)(933, 1011)(935, 1013)(936, 1014)(937, 1016)(939, 1018)(942, 1021)(944, 1023)(945, 1025)(947, 1028)(949, 950)(953, 1034)(955, 1037)(956, 1039)(958, 1041)(961, 1044)(963, 1046)(964, 1048)(966, 1050)(968, 1052)(970, 1055)(972, 1057)(973, 1058)(974, 1060)(976, 1062)(979, 1065)(981, 1067)(982, 1069)(984, 1072)(987, 1075)(988, 1076)(989, 1078)(991, 1081)(992, 1083)(994, 1085)(996, 1087)(998, 1090)(999, 1091)(1001, 1094)(1003, 1096)(1005, 1097)(1007, 1100)(1009, 1103)(1010, 1105)(1012, 1107)(1015, 1110)(1017, 1112)(1019, 1101)(1020, 1115)(1022, 1118)(1024, 1120)(1026, 1122)(1027, 1109)(1029, 1126)(1030, 1098)(1031, 1128)(1032, 1129)(1033, 1131)(1035, 1134)(1036, 1136)(1038, 1138)(1040, 1140)(1042, 1143)(1043, 1144)(1045, 1147)(1047, 1149)(1049, 1150)(1051, 1153)(1053, 1156)(1054, 1158)(1056, 1160)(1059, 1163)(1061, 1165)(1063, 1154)(1064, 1168)(1066, 1171)(1068, 1173)(1070, 1175)(1071, 1162)(1073, 1179)(1074, 1151)(1077, 1183)(1079, 1185)(1080, 1187)(1082, 1189)(1084, 1146)(1086, 1193)(1088, 1170)(1089, 1196)(1092, 1199)(1093, 1137)(1095, 1203)(1099, 1207)(1102, 1211)(1104, 1213)(1106, 1215)(1108, 1218)(1111, 1221)(1113, 1174)(1114, 1225)(1116, 1227)(1117, 1141)(1119, 1230)(1121, 1166)(1123, 1234)(1124, 1235)(1125, 1237)(1127, 1239)(1130, 1242)(1132, 1244)(1133, 1246)(1135, 1248)(1139, 1252)(1142, 1255)(1145, 1258)(1148, 1262)(1152, 1266)(1155, 1270)(1157, 1272)(1159, 1274)(1161, 1277)(1164, 1280)(1167, 1284)(1169, 1286)(1172, 1289)(1176, 1293)(1177, 1294)(1178, 1296)(1180, 1298)(1181, 1299)(1182, 1300)(1184, 1263)(1186, 1304)(1188, 1305)(1190, 1260)(1191, 1308)(1192, 1310)(1194, 1312)(1195, 1281)(1197, 1275)(1198, 1314)(1200, 1316)(1201, 1249)(1202, 1287)(1204, 1243)(1205, 1306)(1206, 1321)(1208, 1323)(1209, 1285)(1210, 1325)(1212, 1302)(1214, 1329)(1216, 1256)(1217, 1332)(1219, 1334)(1220, 1297)(1222, 1254)(1223, 1292)(1224, 1339)(1226, 1268)(1228, 1261)(1229, 1342)(1231, 1344)(1232, 1346)(1233, 1282)(1236, 1348)(1238, 1279)(1240, 1351)(1241, 1352)(1245, 1356)(1247, 1357)(1250, 1360)(1251, 1362)(1253, 1364)(1257, 1366)(1259, 1368)(1264, 1358)(1265, 1373)(1267, 1375)(1269, 1377)(1271, 1354)(1273, 1381)(1276, 1384)(1278, 1386)(1283, 1391)(1288, 1394)(1290, 1396)(1291, 1398)(1295, 1400)(1301, 1363)(1303, 1371)(1307, 1407)(1309, 1379)(1311, 1353)(1313, 1389)(1315, 1392)(1317, 1411)(1318, 1393)(1319, 1355)(1320, 1378)(1322, 1404)(1324, 1376)(1326, 1372)(1327, 1361)(1328, 1397)(1330, 1387)(1331, 1383)(1333, 1408)(1335, 1382)(1336, 1401)(1337, 1365)(1338, 1420)(1340, 1367)(1341, 1370)(1343, 1402)(1345, 1380)(1347, 1421)(1349, 1388)(1350, 1395)(1359, 1426)(1369, 1430)(1374, 1423)(1385, 1427)(1390, 1439)(1399, 1440)(1403, 1422)(1405, 1428)(1406, 1434)(1409, 1424)(1410, 1437)(1412, 1433)(1413, 1432)(1414, 1431)(1415, 1425)(1416, 1435)(1417, 1438)(1418, 1429)(1419, 1436)
	L = (1, 721)(2, 722)(3, 723)(4, 724)(5, 725)(6, 726)(7, 727)(8, 728)(9, 729)(10, 730)(11, 731)(12, 732)(13, 733)(14, 734)(15, 735)(16, 736)(17, 737)(18, 738)(19, 739)(20, 740)(21, 741)(22, 742)(23, 743)(24, 744)(25, 745)(26, 746)(27, 747)(28, 748)(29, 749)(30, 750)(31, 751)(32, 752)(33, 753)(34, 754)(35, 755)(36, 756)(37, 757)(38, 758)(39, 759)(40, 760)(41, 761)(42, 762)(43, 763)(44, 764)(45, 765)(46, 766)(47, 767)(48, 768)(49, 769)(50, 770)(51, 771)(52, 772)(53, 773)(54, 774)(55, 775)(56, 776)(57, 777)(58, 778)(59, 779)(60, 780)(61, 781)(62, 782)(63, 783)(64, 784)(65, 785)(66, 786)(67, 787)(68, 788)(69, 789)(70, 790)(71, 791)(72, 792)(73, 793)(74, 794)(75, 795)(76, 796)(77, 797)(78, 798)(79, 799)(80, 800)(81, 801)(82, 802)(83, 803)(84, 804)(85, 805)(86, 806)(87, 807)(88, 808)(89, 809)(90, 810)(91, 811)(92, 812)(93, 813)(94, 814)(95, 815)(96, 816)(97, 817)(98, 818)(99, 819)(100, 820)(101, 821)(102, 822)(103, 823)(104, 824)(105, 825)(106, 826)(107, 827)(108, 828)(109, 829)(110, 830)(111, 831)(112, 832)(113, 833)(114, 834)(115, 835)(116, 836)(117, 837)(118, 838)(119, 839)(120, 840)(121, 841)(122, 842)(123, 843)(124, 844)(125, 845)(126, 846)(127, 847)(128, 848)(129, 849)(130, 850)(131, 851)(132, 852)(133, 853)(134, 854)(135, 855)(136, 856)(137, 857)(138, 858)(139, 859)(140, 860)(141, 861)(142, 862)(143, 863)(144, 864)(145, 865)(146, 866)(147, 867)(148, 868)(149, 869)(150, 870)(151, 871)(152, 872)(153, 873)(154, 874)(155, 875)(156, 876)(157, 877)(158, 878)(159, 879)(160, 880)(161, 881)(162, 882)(163, 883)(164, 884)(165, 885)(166, 886)(167, 887)(168, 888)(169, 889)(170, 890)(171, 891)(172, 892)(173, 893)(174, 894)(175, 895)(176, 896)(177, 897)(178, 898)(179, 899)(180, 900)(181, 901)(182, 902)(183, 903)(184, 904)(185, 905)(186, 906)(187, 907)(188, 908)(189, 909)(190, 910)(191, 911)(192, 912)(193, 913)(194, 914)(195, 915)(196, 916)(197, 917)(198, 918)(199, 919)(200, 920)(201, 921)(202, 922)(203, 923)(204, 924)(205, 925)(206, 926)(207, 927)(208, 928)(209, 929)(210, 930)(211, 931)(212, 932)(213, 933)(214, 934)(215, 935)(216, 936)(217, 937)(218, 938)(219, 939)(220, 940)(221, 941)(222, 942)(223, 943)(224, 944)(225, 945)(226, 946)(227, 947)(228, 948)(229, 949)(230, 950)(231, 951)(232, 952)(233, 953)(234, 954)(235, 955)(236, 956)(237, 957)(238, 958)(239, 959)(240, 960)(241, 961)(242, 962)(243, 963)(244, 964)(245, 965)(246, 966)(247, 967)(248, 968)(249, 969)(250, 970)(251, 971)(252, 972)(253, 973)(254, 974)(255, 975)(256, 976)(257, 977)(258, 978)(259, 979)(260, 980)(261, 981)(262, 982)(263, 983)(264, 984)(265, 985)(266, 986)(267, 987)(268, 988)(269, 989)(270, 990)(271, 991)(272, 992)(273, 993)(274, 994)(275, 995)(276, 996)(277, 997)(278, 998)(279, 999)(280, 1000)(281, 1001)(282, 1002)(283, 1003)(284, 1004)(285, 1005)(286, 1006)(287, 1007)(288, 1008)(289, 1009)(290, 1010)(291, 1011)(292, 1012)(293, 1013)(294, 1014)(295, 1015)(296, 1016)(297, 1017)(298, 1018)(299, 1019)(300, 1020)(301, 1021)(302, 1022)(303, 1023)(304, 1024)(305, 1025)(306, 1026)(307, 1027)(308, 1028)(309, 1029)(310, 1030)(311, 1031)(312, 1032)(313, 1033)(314, 1034)(315, 1035)(316, 1036)(317, 1037)(318, 1038)(319, 1039)(320, 1040)(321, 1041)(322, 1042)(323, 1043)(324, 1044)(325, 1045)(326, 1046)(327, 1047)(328, 1048)(329, 1049)(330, 1050)(331, 1051)(332, 1052)(333, 1053)(334, 1054)(335, 1055)(336, 1056)(337, 1057)(338, 1058)(339, 1059)(340, 1060)(341, 1061)(342, 1062)(343, 1063)(344, 1064)(345, 1065)(346, 1066)(347, 1067)(348, 1068)(349, 1069)(350, 1070)(351, 1071)(352, 1072)(353, 1073)(354, 1074)(355, 1075)(356, 1076)(357, 1077)(358, 1078)(359, 1079)(360, 1080)(361, 1081)(362, 1082)(363, 1083)(364, 1084)(365, 1085)(366, 1086)(367, 1087)(368, 1088)(369, 1089)(370, 1090)(371, 1091)(372, 1092)(373, 1093)(374, 1094)(375, 1095)(376, 1096)(377, 1097)(378, 1098)(379, 1099)(380, 1100)(381, 1101)(382, 1102)(383, 1103)(384, 1104)(385, 1105)(386, 1106)(387, 1107)(388, 1108)(389, 1109)(390, 1110)(391, 1111)(392, 1112)(393, 1113)(394, 1114)(395, 1115)(396, 1116)(397, 1117)(398, 1118)(399, 1119)(400, 1120)(401, 1121)(402, 1122)(403, 1123)(404, 1124)(405, 1125)(406, 1126)(407, 1127)(408, 1128)(409, 1129)(410, 1130)(411, 1131)(412, 1132)(413, 1133)(414, 1134)(415, 1135)(416, 1136)(417, 1137)(418, 1138)(419, 1139)(420, 1140)(421, 1141)(422, 1142)(423, 1143)(424, 1144)(425, 1145)(426, 1146)(427, 1147)(428, 1148)(429, 1149)(430, 1150)(431, 1151)(432, 1152)(433, 1153)(434, 1154)(435, 1155)(436, 1156)(437, 1157)(438, 1158)(439, 1159)(440, 1160)(441, 1161)(442, 1162)(443, 1163)(444, 1164)(445, 1165)(446, 1166)(447, 1167)(448, 1168)(449, 1169)(450, 1170)(451, 1171)(452, 1172)(453, 1173)(454, 1174)(455, 1175)(456, 1176)(457, 1177)(458, 1178)(459, 1179)(460, 1180)(461, 1181)(462, 1182)(463, 1183)(464, 1184)(465, 1185)(466, 1186)(467, 1187)(468, 1188)(469, 1189)(470, 1190)(471, 1191)(472, 1192)(473, 1193)(474, 1194)(475, 1195)(476, 1196)(477, 1197)(478, 1198)(479, 1199)(480, 1200)(481, 1201)(482, 1202)(483, 1203)(484, 1204)(485, 1205)(486, 1206)(487, 1207)(488, 1208)(489, 1209)(490, 1210)(491, 1211)(492, 1212)(493, 1213)(494, 1214)(495, 1215)(496, 1216)(497, 1217)(498, 1218)(499, 1219)(500, 1220)(501, 1221)(502, 1222)(503, 1223)(504, 1224)(505, 1225)(506, 1226)(507, 1227)(508, 1228)(509, 1229)(510, 1230)(511, 1231)(512, 1232)(513, 1233)(514, 1234)(515, 1235)(516, 1236)(517, 1237)(518, 1238)(519, 1239)(520, 1240)(521, 1241)(522, 1242)(523, 1243)(524, 1244)(525, 1245)(526, 1246)(527, 1247)(528, 1248)(529, 1249)(530, 1250)(531, 1251)(532, 1252)(533, 1253)(534, 1254)(535, 1255)(536, 1256)(537, 1257)(538, 1258)(539, 1259)(540, 1260)(541, 1261)(542, 1262)(543, 1263)(544, 1264)(545, 1265)(546, 1266)(547, 1267)(548, 1268)(549, 1269)(550, 1270)(551, 1271)(552, 1272)(553, 1273)(554, 1274)(555, 1275)(556, 1276)(557, 1277)(558, 1278)(559, 1279)(560, 1280)(561, 1281)(562, 1282)(563, 1283)(564, 1284)(565, 1285)(566, 1286)(567, 1287)(568, 1288)(569, 1289)(570, 1290)(571, 1291)(572, 1292)(573, 1293)(574, 1294)(575, 1295)(576, 1296)(577, 1297)(578, 1298)(579, 1299)(580, 1300)(581, 1301)(582, 1302)(583, 1303)(584, 1304)(585, 1305)(586, 1306)(587, 1307)(588, 1308)(589, 1309)(590, 1310)(591, 1311)(592, 1312)(593, 1313)(594, 1314)(595, 1315)(596, 1316)(597, 1317)(598, 1318)(599, 1319)(600, 1320)(601, 1321)(602, 1322)(603, 1323)(604, 1324)(605, 1325)(606, 1326)(607, 1327)(608, 1328)(609, 1329)(610, 1330)(611, 1331)(612, 1332)(613, 1333)(614, 1334)(615, 1335)(616, 1336)(617, 1337)(618, 1338)(619, 1339)(620, 1340)(621, 1341)(622, 1342)(623, 1343)(624, 1344)(625, 1345)(626, 1346)(627, 1347)(628, 1348)(629, 1349)(630, 1350)(631, 1351)(632, 1352)(633, 1353)(634, 1354)(635, 1355)(636, 1356)(637, 1357)(638, 1358)(639, 1359)(640, 1360)(641, 1361)(642, 1362)(643, 1363)(644, 1364)(645, 1365)(646, 1366)(647, 1367)(648, 1368)(649, 1369)(650, 1370)(651, 1371)(652, 1372)(653, 1373)(654, 1374)(655, 1375)(656, 1376)(657, 1377)(658, 1378)(659, 1379)(660, 1380)(661, 1381)(662, 1382)(663, 1383)(664, 1384)(665, 1385)(666, 1386)(667, 1387)(668, 1388)(669, 1389)(670, 1390)(671, 1391)(672, 1392)(673, 1393)(674, 1394)(675, 1395)(676, 1396)(677, 1397)(678, 1398)(679, 1399)(680, 1400)(681, 1401)(682, 1402)(683, 1403)(684, 1404)(685, 1405)(686, 1406)(687, 1407)(688, 1408)(689, 1409)(690, 1410)(691, 1411)(692, 1412)(693, 1413)(694, 1414)(695, 1415)(696, 1416)(697, 1417)(698, 1418)(699, 1419)(700, 1420)(701, 1421)(702, 1422)(703, 1423)(704, 1424)(705, 1425)(706, 1426)(707, 1427)(708, 1428)(709, 1429)(710, 1430)(711, 1431)(712, 1432)(713, 1433)(714, 1434)(715, 1435)(716, 1436)(717, 1437)(718, 1438)(719, 1439)(720, 1440)
	local type(s) :: { ( 10, 10 ), ( 10^4 ) }
Outer automorphisms :: reflexible
Dual of E19.2435
Transitivity :: ET+
Graph:: simple bipartite
	v = 540 e = 720 f = 144
	degree seq :: [ 2^360, 4^180 ]

E19.2432 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 5})
Quotient :: edge
Aut^+ = C2 x A6 (small group id <720, 766>)
Aut   = $<1440, 5843>$ (small group id <1440, 5843>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, T1^4, T2^5, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-2 * T2^-2 * T1^-1, (T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-2)^2, T1 * T2^-2 * T1^-2 * T2^2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-2 * T2^-2 * T1 * T2^-2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1^-2, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 14, 5)(2, 7, 17, 20, 8)(4, 12, 26, 22, 9)(6, 15, 31, 34, 16)(11, 25, 47, 45, 23)(13, 28, 52, 55, 29)(18, 37, 66, 64, 35)(19, 38, 68, 71, 39)(21, 41, 73, 76, 42)(24, 46, 81, 56, 30)(27, 51, 89, 87, 49)(32, 59, 101, 99, 57)(33, 60, 103, 106, 61)(36, 65, 111, 72, 40)(43, 50, 88, 130, 77)(44, 78, 131, 134, 79)(48, 85, 142, 140, 83)(53, 93, 154, 152, 91)(54, 94, 156, 159, 95)(58, 100, 165, 107, 62)(63, 108, 177, 180, 109)(67, 115, 188, 186, 113)(69, 118, 193, 191, 116)(70, 119, 195, 198, 120)(74, 125, 204, 202, 123)(75, 126, 206, 209, 127)(80, 84, 141, 221, 135)(82, 138, 225, 223, 136)(86, 144, 234, 237, 145)(90, 150, 243, 241, 148)(92, 153, 248, 160, 96)(97, 137, 224, 261, 161)(98, 162, 262, 265, 163)(102, 169, 273, 271, 167)(104, 172, 278, 276, 170)(105, 173, 280, 283, 174)(110, 114, 187, 293, 181)(112, 184, 297, 295, 182)(117, 192, 309, 199, 121)(122, 183, 296, 322, 200)(124, 203, 324, 210, 128)(129, 211, 336, 339, 212)(132, 216, 342, 275, 214)(133, 217, 344, 347, 218)(139, 227, 359, 362, 228)(143, 233, 368, 366, 231)(146, 149, 242, 375, 238)(147, 239, 376, 340, 213)(151, 245, 263, 386, 246)(155, 252, 394, 392, 250)(157, 255, 399, 397, 253)(158, 256, 401, 404, 257)(164, 168, 272, 413, 266)(166, 269, 417, 415, 267)(171, 277, 426, 284, 175)(176, 268, 416, 438, 285)(178, 288, 323, 201, 286)(179, 289, 440, 443, 290)(185, 299, 345, 456, 300)(189, 305, 462, 460, 303)(190, 306, 235, 370, 307)(194, 313, 469, 396, 311)(196, 316, 474, 472, 314)(197, 317, 476, 479, 318)(205, 328, 492, 490, 326)(207, 331, 495, 391, 329)(208, 332, 497, 500, 333)(215, 341, 508, 348, 219)(220, 349, 514, 517, 350)(222, 352, 519, 522, 353)(226, 358, 526, 437, 356)(229, 232, 367, 533, 363)(230, 364, 534, 518, 351)(236, 371, 360, 528, 372)(240, 378, 548, 551, 379)(244, 384, 555, 516, 382)(247, 251, 393, 559, 387)(249, 390, 477, 561, 388)(254, 398, 566, 405, 258)(259, 389, 562, 577, 406)(260, 407, 418, 579, 408)(264, 410, 549, 582, 411)(270, 419, 441, 589, 420)(274, 425, 595, 593, 423)(279, 429, 600, 471, 428)(281, 432, 603, 489, 430)(282, 433, 605, 608, 434)(287, 327, 491, 444, 291)(292, 445, 536, 365, 446)(294, 448, 513, 619, 449)(298, 454, 506, 338, 452)(301, 304, 461, 626, 457)(302, 458, 515, 616, 447)(308, 312, 468, 531, 373)(310, 467, 606, 576, 465)(315, 473, 637, 480, 319)(320, 466, 634, 647, 481)(321, 482, 377, 547, 483)(325, 488, 402, 571, 486)(330, 494, 654, 501, 334)(335, 487, 651, 560, 502)(337, 505, 660, 563, 503)(343, 510, 664, 663, 509)(346, 511, 666, 667, 512)(354, 357, 525, 672, 523)(355, 524, 673, 580, 409)(361, 529, 520, 669, 530)(369, 541, 607, 578, 539)(374, 544, 535, 592, 545)(380, 383, 554, 684, 552)(381, 553, 685, 668, 546)(385, 557, 686, 687, 558)(395, 565, 689, 688, 564)(400, 569, 670, 521, 568)(403, 572, 527, 596, 573)(412, 583, 627, 459, 584)(414, 586, 614, 652, 587)(421, 424, 594, 699, 590)(422, 591, 615, 696, 585)(427, 599, 498, 646, 597)(431, 602, 702, 609, 435)(436, 598, 700, 650, 610)(439, 611, 705, 649, 485)(442, 612, 706, 665, 613)(450, 453, 504, 659, 620)(451, 621, 662, 507, 484)(455, 623, 617, 707, 624)(463, 632, 499, 648, 630)(464, 542, 681, 715, 633)(470, 636, 657, 716, 635)(475, 640, 708, 618, 639)(478, 642, 622, 556, 643)(493, 644, 641, 720, 653)(496, 645, 718, 658, 656)(532, 677, 674, 703, 678)(537, 540, 581, 695, 680)(538, 588, 697, 694, 679)(543, 676, 714, 628, 631)(550, 682, 661, 713, 629)(567, 692, 698, 671, 690)(570, 693, 701, 601, 574)(575, 691, 675, 704, 604)(625, 711, 710, 655, 712)(638, 719, 683, 709, 717)(721, 722, 726, 724)(723, 729, 741, 731)(725, 733, 738, 727)(728, 739, 752, 735)(730, 743, 764, 744)(732, 736, 753, 747)(734, 750, 773, 748)(737, 755, 783, 756)(740, 760, 789, 758)(742, 763, 794, 761)(745, 762, 795, 768)(746, 769, 806, 770)(749, 774, 787, 757)(751, 777, 818, 778)(754, 782, 824, 780)(759, 790, 822, 779)(765, 800, 852, 798)(766, 799, 853, 802)(767, 803, 859, 804)(771, 781, 825, 810)(772, 811, 871, 812)(775, 816, 877, 814)(776, 817, 875, 813)(784, 830, 898, 828)(785, 829, 899, 832)(786, 833, 905, 834)(788, 836, 910, 837)(791, 841, 916, 839)(792, 842, 914, 838)(793, 843, 921, 844)(796, 848, 927, 846)(797, 849, 925, 845)(801, 856, 942, 857)(805, 847, 928, 863)(807, 866, 955, 864)(808, 865, 956, 867)(809, 868, 960, 869)(815, 878, 909, 835)(819, 884, 983, 882)(820, 883, 984, 886)(821, 887, 990, 888)(823, 890, 995, 891)(826, 895, 1001, 893)(827, 896, 999, 892)(831, 902, 1014, 903)(840, 917, 994, 889)(850, 933, 1057, 931)(851, 934, 996, 935)(854, 939, 1065, 937)(855, 940, 1063, 936)(858, 938, 1066, 946)(860, 949, 1080, 947)(861, 948, 1081, 950)(862, 951, 1085, 952)(870, 894, 1002, 964)(872, 967, 982, 965)(873, 966, 1105, 969)(874, 970, 1111, 971)(876, 973, 1116, 974)(879, 978, 1122, 976)(880, 979, 1120, 975)(881, 980, 1115, 972)(885, 987, 1134, 988)(897, 1006, 922, 1007)(900, 1011, 1161, 1009)(901, 1012, 1159, 1008)(904, 1010, 1162, 1018)(906, 1021, 1064, 1019)(907, 1020, 1175, 1022)(908, 1023, 1179, 1024)(911, 1028, 954, 1026)(912, 1027, 1184, 1030)(913, 1031, 1117, 1032)(915, 1034, 1191, 1035)(918, 1039, 1197, 1037)(919, 1040, 1195, 1036)(920, 1041, 1190, 1033)(923, 1043, 1205, 1045)(924, 1046, 1209, 1047)(926, 1049, 1112, 1050)(929, 1054, 1218, 1052)(930, 1055, 1216, 1051)(932, 1058, 1213, 1048)(941, 1071, 1235, 1069)(943, 1074, 1240, 1072)(944, 1073, 1241, 1075)(945, 1076, 1158, 1077)(953, 1053, 1219, 1089)(957, 1093, 1079, 1091)(958, 1094, 1262, 1090)(959, 1092, 1263, 1097)(961, 1100, 1269, 1098)(962, 1099, 1270, 1101)(963, 1102, 1237, 1103)(968, 1108, 1280, 1109)(977, 1123, 1183, 1025)(981, 1129, 1137, 1127)(985, 1107, 1268, 1130)(986, 1132, 1277, 1106)(989, 1131, 1301, 1138)(991, 1141, 1160, 1139)(992, 1140, 1308, 1142)(993, 1143, 1312, 1144)(997, 1062, 1229, 1147)(998, 1148, 1192, 1061)(1000, 1150, 1210, 1151)(1003, 1155, 1326, 1153)(1004, 1156, 1324, 1152)(1005, 1157, 1321, 1149)(1013, 1167, 1335, 1165)(1015, 1170, 1337, 1168)(1016, 1169, 1338, 1171)(1017, 1172, 1059, 1173)(1029, 1185, 1297, 1186)(1038, 1198, 1316, 1145)(1042, 1204, 1096, 1202)(1044, 1206, 1370, 1207)(1056, 1223, 1378, 1224)(1060, 1227, 1381, 1225)(1067, 1177, 1345, 1231)(1068, 1233, 1343, 1176)(1070, 1236, 1385, 1230)(1078, 1232, 1315, 1247)(1082, 1251, 1239, 1249)(1083, 1252, 1396, 1248)(1084, 1250, 1314, 1255)(1086, 1257, 1331, 1166)(1087, 1256, 1311, 1258)(1088, 1259, 1299, 1260)(1095, 1266, 1254, 1264)(1104, 1154, 1327, 1276)(1110, 1278, 1361, 1196)(1113, 1215, 1376, 1283)(1114, 1284, 1375, 1214)(1118, 1189, 1355, 1287)(1119, 1288, 1242, 1188)(1121, 1208, 1369, 1290)(1124, 1294, 1246, 1292)(1125, 1295, 1330, 1291)(1126, 1296, 1329, 1289)(1128, 1298, 1328, 1285)(1133, 1305, 1405, 1303)(1135, 1300, 1414, 1306)(1136, 1307, 1395, 1245)(1146, 1317, 1367, 1318)(1163, 1310, 1418, 1332)(1164, 1334, 1417, 1309)(1174, 1333, 1275, 1342)(1178, 1344, 1274, 1234)(1180, 1348, 1406, 1304)(1181, 1347, 1273, 1349)(1182, 1350, 1267, 1351)(1187, 1353, 1409, 1325)(1193, 1320, 1421, 1358)(1194, 1359, 1339, 1228)(1199, 1364, 1226, 1362)(1200, 1365, 1222, 1281)(1201, 1366, 1221, 1360)(1203, 1368, 1220, 1356)(1211, 1323, 1424, 1372)(1212, 1373, 1423, 1322)(1217, 1319, 1383, 1377)(1238, 1388, 1416, 1336)(1243, 1391, 1419, 1389)(1244, 1390, 1422, 1394)(1253, 1399, 1393, 1397)(1261, 1352, 1293, 1363)(1265, 1313, 1387, 1401)(1271, 1279, 1380, 1402)(1272, 1403, 1415, 1302)(1282, 1371, 1420, 1354)(1286, 1410, 1392, 1411)(1340, 1429, 1404, 1427)(1341, 1428, 1374, 1430)(1346, 1433, 1382, 1431)(1357, 1437, 1379, 1438)(1384, 1426, 1412, 1436)(1386, 1432, 1408, 1435)(1398, 1440, 1407, 1434)(1400, 1439, 1413, 1425)
	L = (1, 721)(2, 722)(3, 723)(4, 724)(5, 725)(6, 726)(7, 727)(8, 728)(9, 729)(10, 730)(11, 731)(12, 732)(13, 733)(14, 734)(15, 735)(16, 736)(17, 737)(18, 738)(19, 739)(20, 740)(21, 741)(22, 742)(23, 743)(24, 744)(25, 745)(26, 746)(27, 747)(28, 748)(29, 749)(30, 750)(31, 751)(32, 752)(33, 753)(34, 754)(35, 755)(36, 756)(37, 757)(38, 758)(39, 759)(40, 760)(41, 761)(42, 762)(43, 763)(44, 764)(45, 765)(46, 766)(47, 767)(48, 768)(49, 769)(50, 770)(51, 771)(52, 772)(53, 773)(54, 774)(55, 775)(56, 776)(57, 777)(58, 778)(59, 779)(60, 780)(61, 781)(62, 782)(63, 783)(64, 784)(65, 785)(66, 786)(67, 787)(68, 788)(69, 789)(70, 790)(71, 791)(72, 792)(73, 793)(74, 794)(75, 795)(76, 796)(77, 797)(78, 798)(79, 799)(80, 800)(81, 801)(82, 802)(83, 803)(84, 804)(85, 805)(86, 806)(87, 807)(88, 808)(89, 809)(90, 810)(91, 811)(92, 812)(93, 813)(94, 814)(95, 815)(96, 816)(97, 817)(98, 818)(99, 819)(100, 820)(101, 821)(102, 822)(103, 823)(104, 824)(105, 825)(106, 826)(107, 827)(108, 828)(109, 829)(110, 830)(111, 831)(112, 832)(113, 833)(114, 834)(115, 835)(116, 836)(117, 837)(118, 838)(119, 839)(120, 840)(121, 841)(122, 842)(123, 843)(124, 844)(125, 845)(126, 846)(127, 847)(128, 848)(129, 849)(130, 850)(131, 851)(132, 852)(133, 853)(134, 854)(135, 855)(136, 856)(137, 857)(138, 858)(139, 859)(140, 860)(141, 861)(142, 862)(143, 863)(144, 864)(145, 865)(146, 866)(147, 867)(148, 868)(149, 869)(150, 870)(151, 871)(152, 872)(153, 873)(154, 874)(155, 875)(156, 876)(157, 877)(158, 878)(159, 879)(160, 880)(161, 881)(162, 882)(163, 883)(164, 884)(165, 885)(166, 886)(167, 887)(168, 888)(169, 889)(170, 890)(171, 891)(172, 892)(173, 893)(174, 894)(175, 895)(176, 896)(177, 897)(178, 898)(179, 899)(180, 900)(181, 901)(182, 902)(183, 903)(184, 904)(185, 905)(186, 906)(187, 907)(188, 908)(189, 909)(190, 910)(191, 911)(192, 912)(193, 913)(194, 914)(195, 915)(196, 916)(197, 917)(198, 918)(199, 919)(200, 920)(201, 921)(202, 922)(203, 923)(204, 924)(205, 925)(206, 926)(207, 927)(208, 928)(209, 929)(210, 930)(211, 931)(212, 932)(213, 933)(214, 934)(215, 935)(216, 936)(217, 937)(218, 938)(219, 939)(220, 940)(221, 941)(222, 942)(223, 943)(224, 944)(225, 945)(226, 946)(227, 947)(228, 948)(229, 949)(230, 950)(231, 951)(232, 952)(233, 953)(234, 954)(235, 955)(236, 956)(237, 957)(238, 958)(239, 959)(240, 960)(241, 961)(242, 962)(243, 963)(244, 964)(245, 965)(246, 966)(247, 967)(248, 968)(249, 969)(250, 970)(251, 971)(252, 972)(253, 973)(254, 974)(255, 975)(256, 976)(257, 977)(258, 978)(259, 979)(260, 980)(261, 981)(262, 982)(263, 983)(264, 984)(265, 985)(266, 986)(267, 987)(268, 988)(269, 989)(270, 990)(271, 991)(272, 992)(273, 993)(274, 994)(275, 995)(276, 996)(277, 997)(278, 998)(279, 999)(280, 1000)(281, 1001)(282, 1002)(283, 1003)(284, 1004)(285, 1005)(286, 1006)(287, 1007)(288, 1008)(289, 1009)(290, 1010)(291, 1011)(292, 1012)(293, 1013)(294, 1014)(295, 1015)(296, 1016)(297, 1017)(298, 1018)(299, 1019)(300, 1020)(301, 1021)(302, 1022)(303, 1023)(304, 1024)(305, 1025)(306, 1026)(307, 1027)(308, 1028)(309, 1029)(310, 1030)(311, 1031)(312, 1032)(313, 1033)(314, 1034)(315, 1035)(316, 1036)(317, 1037)(318, 1038)(319, 1039)(320, 1040)(321, 1041)(322, 1042)(323, 1043)(324, 1044)(325, 1045)(326, 1046)(327, 1047)(328, 1048)(329, 1049)(330, 1050)(331, 1051)(332, 1052)(333, 1053)(334, 1054)(335, 1055)(336, 1056)(337, 1057)(338, 1058)(339, 1059)(340, 1060)(341, 1061)(342, 1062)(343, 1063)(344, 1064)(345, 1065)(346, 1066)(347, 1067)(348, 1068)(349, 1069)(350, 1070)(351, 1071)(352, 1072)(353, 1073)(354, 1074)(355, 1075)(356, 1076)(357, 1077)(358, 1078)(359, 1079)(360, 1080)(361, 1081)(362, 1082)(363, 1083)(364, 1084)(365, 1085)(366, 1086)(367, 1087)(368, 1088)(369, 1089)(370, 1090)(371, 1091)(372, 1092)(373, 1093)(374, 1094)(375, 1095)(376, 1096)(377, 1097)(378, 1098)(379, 1099)(380, 1100)(381, 1101)(382, 1102)(383, 1103)(384, 1104)(385, 1105)(386, 1106)(387, 1107)(388, 1108)(389, 1109)(390, 1110)(391, 1111)(392, 1112)(393, 1113)(394, 1114)(395, 1115)(396, 1116)(397, 1117)(398, 1118)(399, 1119)(400, 1120)(401, 1121)(402, 1122)(403, 1123)(404, 1124)(405, 1125)(406, 1126)(407, 1127)(408, 1128)(409, 1129)(410, 1130)(411, 1131)(412, 1132)(413, 1133)(414, 1134)(415, 1135)(416, 1136)(417, 1137)(418, 1138)(419, 1139)(420, 1140)(421, 1141)(422, 1142)(423, 1143)(424, 1144)(425, 1145)(426, 1146)(427, 1147)(428, 1148)(429, 1149)(430, 1150)(431, 1151)(432, 1152)(433, 1153)(434, 1154)(435, 1155)(436, 1156)(437, 1157)(438, 1158)(439, 1159)(440, 1160)(441, 1161)(442, 1162)(443, 1163)(444, 1164)(445, 1165)(446, 1166)(447, 1167)(448, 1168)(449, 1169)(450, 1170)(451, 1171)(452, 1172)(453, 1173)(454, 1174)(455, 1175)(456, 1176)(457, 1177)(458, 1178)(459, 1179)(460, 1180)(461, 1181)(462, 1182)(463, 1183)(464, 1184)(465, 1185)(466, 1186)(467, 1187)(468, 1188)(469, 1189)(470, 1190)(471, 1191)(472, 1192)(473, 1193)(474, 1194)(475, 1195)(476, 1196)(477, 1197)(478, 1198)(479, 1199)(480, 1200)(481, 1201)(482, 1202)(483, 1203)(484, 1204)(485, 1205)(486, 1206)(487, 1207)(488, 1208)(489, 1209)(490, 1210)(491, 1211)(492, 1212)(493, 1213)(494, 1214)(495, 1215)(496, 1216)(497, 1217)(498, 1218)(499, 1219)(500, 1220)(501, 1221)(502, 1222)(503, 1223)(504, 1224)(505, 1225)(506, 1226)(507, 1227)(508, 1228)(509, 1229)(510, 1230)(511, 1231)(512, 1232)(513, 1233)(514, 1234)(515, 1235)(516, 1236)(517, 1237)(518, 1238)(519, 1239)(520, 1240)(521, 1241)(522, 1242)(523, 1243)(524, 1244)(525, 1245)(526, 1246)(527, 1247)(528, 1248)(529, 1249)(530, 1250)(531, 1251)(532, 1252)(533, 1253)(534, 1254)(535, 1255)(536, 1256)(537, 1257)(538, 1258)(539, 1259)(540, 1260)(541, 1261)(542, 1262)(543, 1263)(544, 1264)(545, 1265)(546, 1266)(547, 1267)(548, 1268)(549, 1269)(550, 1270)(551, 1271)(552, 1272)(553, 1273)(554, 1274)(555, 1275)(556, 1276)(557, 1277)(558, 1278)(559, 1279)(560, 1280)(561, 1281)(562, 1282)(563, 1283)(564, 1284)(565, 1285)(566, 1286)(567, 1287)(568, 1288)(569, 1289)(570, 1290)(571, 1291)(572, 1292)(573, 1293)(574, 1294)(575, 1295)(576, 1296)(577, 1297)(578, 1298)(579, 1299)(580, 1300)(581, 1301)(582, 1302)(583, 1303)(584, 1304)(585, 1305)(586, 1306)(587, 1307)(588, 1308)(589, 1309)(590, 1310)(591, 1311)(592, 1312)(593, 1313)(594, 1314)(595, 1315)(596, 1316)(597, 1317)(598, 1318)(599, 1319)(600, 1320)(601, 1321)(602, 1322)(603, 1323)(604, 1324)(605, 1325)(606, 1326)(607, 1327)(608, 1328)(609, 1329)(610, 1330)(611, 1331)(612, 1332)(613, 1333)(614, 1334)(615, 1335)(616, 1336)(617, 1337)(618, 1338)(619, 1339)(620, 1340)(621, 1341)(622, 1342)(623, 1343)(624, 1344)(625, 1345)(626, 1346)(627, 1347)(628, 1348)(629, 1349)(630, 1350)(631, 1351)(632, 1352)(633, 1353)(634, 1354)(635, 1355)(636, 1356)(637, 1357)(638, 1358)(639, 1359)(640, 1360)(641, 1361)(642, 1362)(643, 1363)(644, 1364)(645, 1365)(646, 1366)(647, 1367)(648, 1368)(649, 1369)(650, 1370)(651, 1371)(652, 1372)(653, 1373)(654, 1374)(655, 1375)(656, 1376)(657, 1377)(658, 1378)(659, 1379)(660, 1380)(661, 1381)(662, 1382)(663, 1383)(664, 1384)(665, 1385)(666, 1386)(667, 1387)(668, 1388)(669, 1389)(670, 1390)(671, 1391)(672, 1392)(673, 1393)(674, 1394)(675, 1395)(676, 1396)(677, 1397)(678, 1398)(679, 1399)(680, 1400)(681, 1401)(682, 1402)(683, 1403)(684, 1404)(685, 1405)(686, 1406)(687, 1407)(688, 1408)(689, 1409)(690, 1410)(691, 1411)(692, 1412)(693, 1413)(694, 1414)(695, 1415)(696, 1416)(697, 1417)(698, 1418)(699, 1419)(700, 1420)(701, 1421)(702, 1422)(703, 1423)(704, 1424)(705, 1425)(706, 1426)(707, 1427)(708, 1428)(709, 1429)(710, 1430)(711, 1431)(712, 1432)(713, 1433)(714, 1434)(715, 1435)(716, 1436)(717, 1437)(718, 1438)(719, 1439)(720, 1440)
	local type(s) :: { ( 4^4 ), ( 4^5 ) }
Outer automorphisms :: reflexible
Dual of E19.2436
Transitivity :: ET+
Graph:: simple bipartite
	v = 324 e = 720 f = 360
	degree seq :: [ 4^180, 5^144 ]

E19.2433 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 5})
Quotient :: edge
Aut^+ = C2 x A6 (small group id <720, 766>)
Aut   = $<1440, 5843>$ (small group id <1440, 5843>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5, (T2 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^4, T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2, (T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 31)(18, 33)(19, 28)(21, 38)(22, 39)(23, 41)(26, 44)(29, 48)(30, 51)(32, 54)(34, 57)(35, 59)(36, 55)(37, 61)(40, 64)(42, 67)(43, 69)(45, 73)(46, 74)(47, 76)(49, 78)(50, 79)(52, 83)(53, 80)(56, 88)(58, 92)(60, 94)(62, 97)(63, 99)(65, 103)(66, 104)(68, 107)(70, 111)(71, 108)(72, 113)(75, 116)(77, 120)(81, 126)(82, 128)(84, 130)(85, 132)(86, 133)(87, 135)(89, 137)(90, 139)(91, 117)(93, 143)(95, 147)(96, 148)(98, 151)(100, 155)(101, 152)(102, 157)(105, 160)(106, 162)(109, 166)(110, 168)(112, 170)(114, 173)(115, 175)(118, 179)(119, 181)(121, 184)(122, 182)(123, 187)(124, 188)(125, 190)(127, 192)(129, 195)(131, 198)(134, 201)(136, 191)(138, 207)(140, 209)(141, 211)(142, 212)(144, 216)(145, 202)(146, 218)(149, 221)(150, 223)(153, 227)(154, 229)(156, 231)(158, 234)(159, 236)(161, 239)(163, 241)(164, 242)(165, 244)(167, 245)(169, 248)(171, 252)(172, 253)(174, 256)(176, 260)(177, 257)(178, 262)(180, 264)(183, 267)(185, 269)(186, 270)(189, 273)(193, 280)(194, 281)(196, 284)(197, 274)(199, 288)(200, 290)(203, 294)(204, 278)(205, 297)(206, 276)(208, 258)(210, 303)(213, 306)(214, 263)(215, 308)(217, 310)(219, 313)(220, 315)(222, 318)(224, 320)(225, 321)(226, 323)(228, 324)(230, 327)(232, 331)(233, 332)(235, 335)(237, 338)(238, 336)(240, 341)(243, 343)(246, 348)(247, 349)(249, 352)(250, 344)(251, 354)(254, 357)(255, 359)(259, 363)(261, 365)(265, 370)(266, 372)(268, 375)(271, 380)(272, 381)(275, 385)(277, 388)(279, 390)(282, 393)(283, 394)(285, 396)(286, 398)(287, 399)(289, 360)(291, 405)(292, 402)(293, 407)(295, 408)(296, 409)(298, 410)(299, 362)(300, 412)(301, 415)(302, 366)(304, 419)(305, 421)(307, 369)(309, 403)(311, 429)(312, 430)(314, 433)(316, 436)(317, 434)(319, 439)(322, 440)(325, 445)(326, 446)(328, 449)(329, 441)(330, 451)(333, 454)(334, 456)(337, 457)(339, 459)(340, 460)(342, 464)(345, 468)(346, 470)(347, 471)(350, 474)(351, 475)(353, 477)(355, 479)(356, 480)(358, 482)(361, 484)(364, 486)(367, 489)(368, 492)(371, 495)(373, 498)(374, 499)(376, 500)(377, 496)(378, 502)(379, 503)(382, 509)(383, 506)(384, 511)(386, 512)(387, 513)(389, 514)(391, 517)(392, 518)(395, 507)(397, 523)(400, 522)(401, 527)(404, 519)(406, 516)(411, 533)(413, 534)(414, 535)(416, 536)(417, 538)(418, 510)(420, 483)(422, 508)(423, 541)(424, 529)(425, 504)(426, 501)(427, 530)(428, 548)(431, 550)(432, 552)(435, 553)(437, 554)(438, 555)(442, 558)(443, 560)(444, 561)(447, 563)(448, 564)(450, 565)(452, 567)(453, 505)(455, 569)(458, 571)(461, 574)(462, 497)(463, 575)(465, 578)(466, 576)(467, 579)(469, 580)(472, 582)(473, 583)(476, 577)(478, 588)(481, 590)(485, 596)(487, 593)(488, 598)(490, 599)(491, 600)(493, 602)(494, 603)(515, 619)(520, 622)(521, 614)(524, 615)(525, 629)(526, 630)(528, 631)(531, 633)(532, 635)(537, 642)(539, 641)(540, 646)(542, 638)(543, 637)(544, 647)(545, 648)(546, 649)(547, 650)(549, 652)(551, 654)(556, 658)(557, 659)(559, 660)(562, 662)(566, 667)(568, 612)(570, 672)(572, 621)(573, 674)(581, 682)(584, 684)(585, 678)(586, 679)(587, 685)(589, 687)(591, 688)(592, 689)(594, 636)(595, 690)(597, 691)(601, 671)(604, 694)(605, 693)(606, 653)(607, 640)(608, 664)(609, 663)(610, 655)(611, 695)(613, 696)(616, 673)(617, 661)(618, 668)(620, 670)(623, 675)(624, 657)(625, 701)(626, 677)(627, 702)(628, 703)(632, 704)(634, 699)(639, 676)(643, 692)(644, 698)(645, 700)(651, 711)(656, 683)(665, 686)(666, 714)(669, 716)(680, 713)(681, 708)(697, 706)(705, 717)(707, 718)(709, 715)(710, 719)(712, 720)(721, 722, 725, 730, 724)(723, 727, 734, 737, 728)(726, 732, 743, 746, 733)(729, 738, 752, 754, 739)(731, 741, 757, 760, 742)(735, 748, 767, 769, 749)(736, 750, 770, 762, 744)(740, 755, 778, 780, 756)(745, 763, 788, 782, 758)(747, 765, 792, 795, 766)(751, 772, 802, 804, 773)(753, 775, 807, 809, 776)(759, 783, 818, 813, 779)(761, 785, 822, 825, 786)(764, 790, 830, 832, 791)(768, 797, 839, 834, 793)(771, 800, 845, 847, 801)(774, 805, 851, 854, 806)(777, 810, 858, 860, 811)(781, 815, 866, 869, 816)(784, 820, 874, 876, 821)(787, 826, 881, 878, 823)(789, 828, 885, 887, 829)(794, 835, 894, 849, 803)(796, 837, 898, 900, 838)(798, 841, 903, 905, 842)(799, 843, 906, 909, 844)(808, 856, 924, 919, 852)(812, 861, 930, 933, 862)(814, 864, 935, 937, 865)(817, 870, 942, 939, 867)(819, 872, 946, 948, 873)(824, 879, 955, 889, 831)(827, 883, 960, 963, 884)(833, 891, 971, 974, 892)(836, 896, 979, 981, 897)(840, 902, 986, 961, 886)(846, 911, 996, 991, 907)(848, 913, 999, 1002, 914)(850, 916, 1003, 1005, 917)(853, 920, 1009, 928, 859)(855, 922, 1013, 1015, 923)(857, 925, 1016, 1018, 926)(863, 934, 1027, 1024, 931)(868, 940, 1034, 950, 875)(871, 944, 1039, 1042, 945)(877, 952, 1050, 1053, 953)(880, 957, 1057, 1059, 958)(882, 908, 992, 1040, 947)(888, 966, 1067, 1070, 967)(890, 969, 1071, 1073, 970)(893, 975, 1078, 1075, 972)(895, 977, 1081, 1082, 978)(899, 983, 1041, 988, 904)(901, 965, 1066, 1091, 985)(910, 994, 1104, 1106, 995)(912, 997, 1107, 1109, 998)(915, 956, 1056, 1111, 1000)(918, 1006, 1117, 1120, 1007)(921, 1011, 1124, 1126, 1012)(927, 1019, 1131, 1133, 1020)(929, 1021, 1134, 1136, 1022)(932, 1025, 1140, 1029, 936)(938, 1031, 1148, 1151, 1032)(941, 1036, 1155, 1157, 1037)(943, 962, 1062, 1017, 1014)(949, 1045, 1164, 1167, 1046)(951, 1048, 1168, 1170, 1049)(954, 1054, 1175, 1172, 1051)(959, 1044, 1163, 1181, 1060)(964, 1064, 1187, 1189, 1065)(968, 1035, 1154, 1192, 1068)(973, 1076, 1160, 1084, 980)(976, 1080, 1203, 1153, 1055)(982, 1086, 1208, 1210, 1087)(984, 1088, 1211, 1213, 1089)(987, 1093, 1169, 1166, 1094)(989, 1096, 1156, 1150, 1097)(990, 1098, 1221, 1224, 1099)(993, 1102, 1228, 1230, 1103)(1001, 1112, 1159, 1115, 1004)(1008, 1121, 1246, 1245, 1118)(1010, 1122, 1248, 1249, 1123)(1023, 1137, 1257, 1259, 1138)(1026, 1142, 1262, 1263, 1143)(1028, 1144, 1264, 1265, 1145)(1030, 1146, 1266, 1267, 1147)(1033, 1152, 1271, 1269, 1149)(1038, 1128, 1252, 1276, 1158)(1043, 1161, 1277, 1279, 1162)(1047, 1141, 1261, 1282, 1165)(1052, 1173, 1130, 1178, 1058)(1061, 1182, 1135, 1132, 1183)(1063, 1185, 1125, 1119, 1186)(1069, 1193, 1129, 1196, 1072)(1074, 1198, 1307, 1306, 1197)(1077, 1195, 1305, 1311, 1201)(1079, 1090, 1214, 1108, 1105)(1083, 1205, 1315, 1304, 1194)(1085, 1191, 1301, 1317, 1207)(1092, 1216, 1326, 1327, 1217)(1095, 1200, 1310, 1328, 1218)(1100, 1225, 1332, 1331, 1222)(1101, 1226, 1333, 1334, 1227)(1110, 1235, 1338, 1340, 1236)(1113, 1239, 1343, 1344, 1240)(1114, 1241, 1345, 1346, 1242)(1116, 1243, 1347, 1348, 1244)(1127, 1250, 1352, 1354, 1251)(1139, 1260, 1365, 1364, 1258)(1171, 1286, 1386, 1385, 1285)(1174, 1284, 1384, 1389, 1288)(1176, 1180, 1293, 1190, 1188)(1177, 1290, 1391, 1383, 1283)(1179, 1281, 1381, 1393, 1292)(1184, 1296, 1397, 1398, 1297)(1199, 1309, 1379, 1406, 1308)(1202, 1232, 1337, 1382, 1312)(1204, 1313, 1374, 1380, 1314)(1206, 1238, 1342, 1378, 1316)(1209, 1247, 1234, 1321, 1212)(1215, 1324, 1229, 1223, 1325)(1219, 1329, 1233, 1330, 1220)(1231, 1335, 1417, 1418, 1336)(1237, 1341, 1420, 1419, 1339)(1253, 1356, 1407, 1409, 1357)(1254, 1358, 1414, 1394, 1359)(1255, 1360, 1425, 1416, 1361)(1256, 1362, 1426, 1427, 1363)(1268, 1371, 1430, 1429, 1370)(1270, 1369, 1415, 1432, 1373)(1272, 1275, 1377, 1280, 1278)(1273, 1375, 1323, 1413, 1368)(1274, 1367, 1428, 1433, 1376)(1287, 1388, 1424, 1435, 1387)(1289, 1300, 1401, 1351, 1390)(1291, 1303, 1404, 1320, 1392)(1294, 1395, 1298, 1295, 1396)(1299, 1399, 1422, 1349, 1400)(1302, 1403, 1350, 1319, 1402)(1318, 1412, 1431, 1372, 1411)(1322, 1410, 1355, 1353, 1366)(1405, 1434, 1439, 1438, 1423)(1408, 1421, 1437, 1440, 1436)
	L = (1, 721)(2, 722)(3, 723)(4, 724)(5, 725)(6, 726)(7, 727)(8, 728)(9, 729)(10, 730)(11, 731)(12, 732)(13, 733)(14, 734)(15, 735)(16, 736)(17, 737)(18, 738)(19, 739)(20, 740)(21, 741)(22, 742)(23, 743)(24, 744)(25, 745)(26, 746)(27, 747)(28, 748)(29, 749)(30, 750)(31, 751)(32, 752)(33, 753)(34, 754)(35, 755)(36, 756)(37, 757)(38, 758)(39, 759)(40, 760)(41, 761)(42, 762)(43, 763)(44, 764)(45, 765)(46, 766)(47, 767)(48, 768)(49, 769)(50, 770)(51, 771)(52, 772)(53, 773)(54, 774)(55, 775)(56, 776)(57, 777)(58, 778)(59, 779)(60, 780)(61, 781)(62, 782)(63, 783)(64, 784)(65, 785)(66, 786)(67, 787)(68, 788)(69, 789)(70, 790)(71, 791)(72, 792)(73, 793)(74, 794)(75, 795)(76, 796)(77, 797)(78, 798)(79, 799)(80, 800)(81, 801)(82, 802)(83, 803)(84, 804)(85, 805)(86, 806)(87, 807)(88, 808)(89, 809)(90, 810)(91, 811)(92, 812)(93, 813)(94, 814)(95, 815)(96, 816)(97, 817)(98, 818)(99, 819)(100, 820)(101, 821)(102, 822)(103, 823)(104, 824)(105, 825)(106, 826)(107, 827)(108, 828)(109, 829)(110, 830)(111, 831)(112, 832)(113, 833)(114, 834)(115, 835)(116, 836)(117, 837)(118, 838)(119, 839)(120, 840)(121, 841)(122, 842)(123, 843)(124, 844)(125, 845)(126, 846)(127, 847)(128, 848)(129, 849)(130, 850)(131, 851)(132, 852)(133, 853)(134, 854)(135, 855)(136, 856)(137, 857)(138, 858)(139, 859)(140, 860)(141, 861)(142, 862)(143, 863)(144, 864)(145, 865)(146, 866)(147, 867)(148, 868)(149, 869)(150, 870)(151, 871)(152, 872)(153, 873)(154, 874)(155, 875)(156, 876)(157, 877)(158, 878)(159, 879)(160, 880)(161, 881)(162, 882)(163, 883)(164, 884)(165, 885)(166, 886)(167, 887)(168, 888)(169, 889)(170, 890)(171, 891)(172, 892)(173, 893)(174, 894)(175, 895)(176, 896)(177, 897)(178, 898)(179, 899)(180, 900)(181, 901)(182, 902)(183, 903)(184, 904)(185, 905)(186, 906)(187, 907)(188, 908)(189, 909)(190, 910)(191, 911)(192, 912)(193, 913)(194, 914)(195, 915)(196, 916)(197, 917)(198, 918)(199, 919)(200, 920)(201, 921)(202, 922)(203, 923)(204, 924)(205, 925)(206, 926)(207, 927)(208, 928)(209, 929)(210, 930)(211, 931)(212, 932)(213, 933)(214, 934)(215, 935)(216, 936)(217, 937)(218, 938)(219, 939)(220, 940)(221, 941)(222, 942)(223, 943)(224, 944)(225, 945)(226, 946)(227, 947)(228, 948)(229, 949)(230, 950)(231, 951)(232, 952)(233, 953)(234, 954)(235, 955)(236, 956)(237, 957)(238, 958)(239, 959)(240, 960)(241, 961)(242, 962)(243, 963)(244, 964)(245, 965)(246, 966)(247, 967)(248, 968)(249, 969)(250, 970)(251, 971)(252, 972)(253, 973)(254, 974)(255, 975)(256, 976)(257, 977)(258, 978)(259, 979)(260, 980)(261, 981)(262, 982)(263, 983)(264, 984)(265, 985)(266, 986)(267, 987)(268, 988)(269, 989)(270, 990)(271, 991)(272, 992)(273, 993)(274, 994)(275, 995)(276, 996)(277, 997)(278, 998)(279, 999)(280, 1000)(281, 1001)(282, 1002)(283, 1003)(284, 1004)(285, 1005)(286, 1006)(287, 1007)(288, 1008)(289, 1009)(290, 1010)(291, 1011)(292, 1012)(293, 1013)(294, 1014)(295, 1015)(296, 1016)(297, 1017)(298, 1018)(299, 1019)(300, 1020)(301, 1021)(302, 1022)(303, 1023)(304, 1024)(305, 1025)(306, 1026)(307, 1027)(308, 1028)(309, 1029)(310, 1030)(311, 1031)(312, 1032)(313, 1033)(314, 1034)(315, 1035)(316, 1036)(317, 1037)(318, 1038)(319, 1039)(320, 1040)(321, 1041)(322, 1042)(323, 1043)(324, 1044)(325, 1045)(326, 1046)(327, 1047)(328, 1048)(329, 1049)(330, 1050)(331, 1051)(332, 1052)(333, 1053)(334, 1054)(335, 1055)(336, 1056)(337, 1057)(338, 1058)(339, 1059)(340, 1060)(341, 1061)(342, 1062)(343, 1063)(344, 1064)(345, 1065)(346, 1066)(347, 1067)(348, 1068)(349, 1069)(350, 1070)(351, 1071)(352, 1072)(353, 1073)(354, 1074)(355, 1075)(356, 1076)(357, 1077)(358, 1078)(359, 1079)(360, 1080)(361, 1081)(362, 1082)(363, 1083)(364, 1084)(365, 1085)(366, 1086)(367, 1087)(368, 1088)(369, 1089)(370, 1090)(371, 1091)(372, 1092)(373, 1093)(374, 1094)(375, 1095)(376, 1096)(377, 1097)(378, 1098)(379, 1099)(380, 1100)(381, 1101)(382, 1102)(383, 1103)(384, 1104)(385, 1105)(386, 1106)(387, 1107)(388, 1108)(389, 1109)(390, 1110)(391, 1111)(392, 1112)(393, 1113)(394, 1114)(395, 1115)(396, 1116)(397, 1117)(398, 1118)(399, 1119)(400, 1120)(401, 1121)(402, 1122)(403, 1123)(404, 1124)(405, 1125)(406, 1126)(407, 1127)(408, 1128)(409, 1129)(410, 1130)(411, 1131)(412, 1132)(413, 1133)(414, 1134)(415, 1135)(416, 1136)(417, 1137)(418, 1138)(419, 1139)(420, 1140)(421, 1141)(422, 1142)(423, 1143)(424, 1144)(425, 1145)(426, 1146)(427, 1147)(428, 1148)(429, 1149)(430, 1150)(431, 1151)(432, 1152)(433, 1153)(434, 1154)(435, 1155)(436, 1156)(437, 1157)(438, 1158)(439, 1159)(440, 1160)(441, 1161)(442, 1162)(443, 1163)(444, 1164)(445, 1165)(446, 1166)(447, 1167)(448, 1168)(449, 1169)(450, 1170)(451, 1171)(452, 1172)(453, 1173)(454, 1174)(455, 1175)(456, 1176)(457, 1177)(458, 1178)(459, 1179)(460, 1180)(461, 1181)(462, 1182)(463, 1183)(464, 1184)(465, 1185)(466, 1186)(467, 1187)(468, 1188)(469, 1189)(470, 1190)(471, 1191)(472, 1192)(473, 1193)(474, 1194)(475, 1195)(476, 1196)(477, 1197)(478, 1198)(479, 1199)(480, 1200)(481, 1201)(482, 1202)(483, 1203)(484, 1204)(485, 1205)(486, 1206)(487, 1207)(488, 1208)(489, 1209)(490, 1210)(491, 1211)(492, 1212)(493, 1213)(494, 1214)(495, 1215)(496, 1216)(497, 1217)(498, 1218)(499, 1219)(500, 1220)(501, 1221)(502, 1222)(503, 1223)(504, 1224)(505, 1225)(506, 1226)(507, 1227)(508, 1228)(509, 1229)(510, 1230)(511, 1231)(512, 1232)(513, 1233)(514, 1234)(515, 1235)(516, 1236)(517, 1237)(518, 1238)(519, 1239)(520, 1240)(521, 1241)(522, 1242)(523, 1243)(524, 1244)(525, 1245)(526, 1246)(527, 1247)(528, 1248)(529, 1249)(530, 1250)(531, 1251)(532, 1252)(533, 1253)(534, 1254)(535, 1255)(536, 1256)(537, 1257)(538, 1258)(539, 1259)(540, 1260)(541, 1261)(542, 1262)(543, 1263)(544, 1264)(545, 1265)(546, 1266)(547, 1267)(548, 1268)(549, 1269)(550, 1270)(551, 1271)(552, 1272)(553, 1273)(554, 1274)(555, 1275)(556, 1276)(557, 1277)(558, 1278)(559, 1279)(560, 1280)(561, 1281)(562, 1282)(563, 1283)(564, 1284)(565, 1285)(566, 1286)(567, 1287)(568, 1288)(569, 1289)(570, 1290)(571, 1291)(572, 1292)(573, 1293)(574, 1294)(575, 1295)(576, 1296)(577, 1297)(578, 1298)(579, 1299)(580, 1300)(581, 1301)(582, 1302)(583, 1303)(584, 1304)(585, 1305)(586, 1306)(587, 1307)(588, 1308)(589, 1309)(590, 1310)(591, 1311)(592, 1312)(593, 1313)(594, 1314)(595, 1315)(596, 1316)(597, 1317)(598, 1318)(599, 1319)(600, 1320)(601, 1321)(602, 1322)(603, 1323)(604, 1324)(605, 1325)(606, 1326)(607, 1327)(608, 1328)(609, 1329)(610, 1330)(611, 1331)(612, 1332)(613, 1333)(614, 1334)(615, 1335)(616, 1336)(617, 1337)(618, 1338)(619, 1339)(620, 1340)(621, 1341)(622, 1342)(623, 1343)(624, 1344)(625, 1345)(626, 1346)(627, 1347)(628, 1348)(629, 1349)(630, 1350)(631, 1351)(632, 1352)(633, 1353)(634, 1354)(635, 1355)(636, 1356)(637, 1357)(638, 1358)(639, 1359)(640, 1360)(641, 1361)(642, 1362)(643, 1363)(644, 1364)(645, 1365)(646, 1366)(647, 1367)(648, 1368)(649, 1369)(650, 1370)(651, 1371)(652, 1372)(653, 1373)(654, 1374)(655, 1375)(656, 1376)(657, 1377)(658, 1378)(659, 1379)(660, 1380)(661, 1381)(662, 1382)(663, 1383)(664, 1384)(665, 1385)(666, 1386)(667, 1387)(668, 1388)(669, 1389)(670, 1390)(671, 1391)(672, 1392)(673, 1393)(674, 1394)(675, 1395)(676, 1396)(677, 1397)(678, 1398)(679, 1399)(680, 1400)(681, 1401)(682, 1402)(683, 1403)(684, 1404)(685, 1405)(686, 1406)(687, 1407)(688, 1408)(689, 1409)(690, 1410)(691, 1411)(692, 1412)(693, 1413)(694, 1414)(695, 1415)(696, 1416)(697, 1417)(698, 1418)(699, 1419)(700, 1420)(701, 1421)(702, 1422)(703, 1423)(704, 1424)(705, 1425)(706, 1426)(707, 1427)(708, 1428)(709, 1429)(710, 1430)(711, 1431)(712, 1432)(713, 1433)(714, 1434)(715, 1435)(716, 1436)(717, 1437)(718, 1438)(719, 1439)(720, 1440)
	local type(s) :: { ( 8, 8 ), ( 8^5 ) }
Outer automorphisms :: reflexible
Dual of E19.2434
Transitivity :: ET+
Graph:: simple bipartite
	v = 504 e = 720 f = 180
	degree seq :: [ 2^360, 5^144 ]

E19.2434 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 5})
Quotient :: loop
Aut^+ = C2 x A6 (small group id <720, 766>)
Aut   = $<1440, 5843>$ (small group id <1440, 5843>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^5, (T2 * T1 * T2^-1 * T1)^4, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 721, 3, 723, 8, 728, 4, 724)(2, 722, 5, 725, 11, 731, 6, 726)(7, 727, 13, 733, 24, 744, 14, 734)(9, 729, 16, 736, 29, 749, 17, 737)(10, 730, 18, 738, 32, 752, 19, 739)(12, 732, 21, 741, 37, 757, 22, 742)(15, 735, 26, 746, 44, 764, 27, 747)(20, 740, 34, 754, 55, 775, 35, 755)(23, 743, 38, 758, 60, 780, 39, 759)(25, 745, 41, 761, 65, 785, 42, 762)(28, 748, 46, 766, 71, 791, 47, 767)(30, 750, 49, 769, 50, 770, 31, 751)(33, 753, 52, 772, 80, 800, 53, 773)(36, 756, 57, 777, 86, 806, 58, 778)(40, 760, 62, 782, 94, 814, 63, 783)(43, 763, 66, 786, 99, 819, 67, 787)(45, 765, 69, 789, 104, 824, 70, 790)(48, 768, 73, 793, 109, 829, 74, 794)(51, 771, 77, 797, 116, 836, 78, 798)(54, 774, 81, 801, 121, 841, 82, 802)(56, 776, 84, 804, 126, 846, 85, 805)(59, 779, 88, 808, 131, 851, 89, 809)(61, 781, 91, 811, 136, 856, 92, 812)(64, 784, 96, 816, 142, 862, 97, 817)(68, 788, 101, 821, 149, 869, 102, 822)(72, 792, 106, 826, 156, 876, 107, 827)(75, 795, 111, 831, 162, 882, 112, 832)(76, 796, 113, 833, 165, 885, 114, 834)(79, 799, 118, 838, 171, 891, 119, 839)(83, 803, 123, 843, 178, 898, 124, 844)(87, 807, 128, 848, 185, 905, 129, 849)(90, 810, 133, 853, 191, 911, 134, 854)(93, 813, 137, 857, 196, 916, 138, 858)(95, 815, 140, 860, 201, 921, 141, 861)(98, 818, 143, 863, 204, 924, 144, 864)(100, 820, 146, 866, 209, 929, 147, 867)(103, 823, 151, 871, 215, 935, 152, 872)(105, 825, 154, 874, 219, 939, 155, 875)(108, 828, 157, 877, 222, 942, 158, 878)(110, 830, 160, 880, 227, 947, 161, 881)(115, 835, 166, 886, 233, 953, 167, 887)(117, 837, 169, 889, 238, 958, 170, 890)(120, 840, 172, 892, 241, 961, 173, 893)(122, 842, 175, 895, 246, 966, 176, 896)(125, 845, 180, 900, 252, 972, 181, 901)(127, 847, 183, 903, 256, 976, 184, 904)(130, 850, 186, 906, 259, 979, 187, 907)(132, 852, 189, 909, 264, 984, 190, 910)(135, 855, 193, 913, 267, 987, 194, 914)(139, 859, 198, 918, 274, 994, 199, 919)(145, 865, 206, 926, 283, 1003, 207, 927)(148, 868, 210, 930, 287, 1007, 211, 931)(150, 870, 213, 933, 292, 1012, 214, 934)(153, 873, 216, 936, 295, 1015, 217, 937)(159, 879, 224, 944, 304, 1024, 225, 945)(163, 883, 208, 928, 285, 1005, 229, 949)(164, 884, 230, 950, 311, 1031, 231, 951)(168, 888, 235, 955, 318, 1038, 236, 956)(174, 894, 243, 963, 327, 1047, 244, 964)(177, 897, 247, 967, 331, 1051, 248, 968)(179, 899, 250, 970, 336, 1056, 251, 971)(182, 902, 253, 973, 339, 1059, 254, 974)(188, 908, 261, 981, 348, 1068, 262, 982)(192, 912, 245, 965, 329, 1049, 266, 986)(195, 915, 268, 988, 357, 1077, 269, 989)(197, 917, 271, 991, 362, 1082, 272, 992)(200, 920, 276, 996, 346, 1066, 260, 980)(202, 922, 278, 998, 323, 1043, 240, 960)(203, 923, 239, 959, 322, 1042, 279, 999)(205, 925, 281, 1001, 375, 1095, 282, 1002)(212, 932, 289, 1009, 384, 1104, 290, 1010)(218, 938, 296, 1016, 391, 1111, 297, 1017)(220, 940, 299, 1019, 344, 1064, 258, 978)(221, 941, 257, 977, 343, 1063, 300, 1020)(223, 943, 237, 957, 320, 1040, 302, 1022)(226, 946, 306, 1026, 403, 1123, 307, 1027)(228, 948, 309, 1029, 407, 1127, 310, 1030)(232, 952, 312, 1032, 410, 1130, 313, 1033)(234, 954, 315, 1035, 415, 1135, 316, 1036)(242, 962, 325, 1045, 428, 1148, 326, 1046)(249, 969, 333, 1053, 437, 1157, 334, 1054)(255, 975, 340, 1060, 444, 1164, 341, 1061)(263, 983, 350, 1070, 456, 1176, 351, 1071)(265, 985, 353, 1073, 460, 1180, 354, 1074)(270, 990, 359, 1079, 466, 1186, 360, 1080)(273, 993, 363, 1083, 470, 1190, 364, 1084)(275, 995, 366, 1086, 474, 1194, 367, 1087)(277, 997, 368, 1088, 475, 1195, 369, 1089)(280, 1000, 372, 1092, 480, 1200, 373, 1093)(284, 1004, 361, 1081, 468, 1188, 377, 1097)(286, 1006, 378, 1098, 486, 1206, 379, 1099)(288, 1008, 381, 1101, 490, 1210, 382, 1102)(291, 1011, 386, 1106, 478, 1198, 371, 1091)(293, 1013, 388, 1108, 462, 1182, 356, 1076)(294, 1014, 355, 1075, 461, 1181, 389, 1109)(298, 1018, 393, 1113, 504, 1224, 394, 1114)(301, 1021, 396, 1116, 508, 1228, 397, 1117)(303, 1023, 398, 1118, 509, 1229, 399, 1119)(305, 1025, 401, 1121, 513, 1233, 402, 1122)(308, 1028, 404, 1124, 516, 1236, 405, 1125)(314, 1034, 412, 1132, 525, 1245, 413, 1133)(317, 1037, 416, 1136, 529, 1249, 417, 1137)(319, 1039, 419, 1139, 533, 1253, 420, 1140)(321, 1041, 421, 1141, 534, 1254, 422, 1142)(324, 1044, 425, 1145, 539, 1259, 426, 1146)(328, 1048, 414, 1134, 527, 1247, 430, 1150)(330, 1050, 431, 1151, 545, 1265, 432, 1152)(332, 1052, 434, 1154, 549, 1269, 435, 1155)(335, 1055, 439, 1159, 537, 1257, 424, 1144)(337, 1057, 441, 1161, 521, 1241, 409, 1129)(338, 1058, 408, 1128, 520, 1240, 442, 1162)(342, 1062, 446, 1166, 563, 1283, 447, 1167)(345, 1065, 449, 1169, 567, 1287, 450, 1170)(347, 1067, 451, 1171, 568, 1288, 452, 1172)(349, 1069, 454, 1174, 572, 1292, 455, 1175)(352, 1072, 457, 1177, 575, 1295, 458, 1178)(358, 1078, 464, 1184, 583, 1303, 465, 1185)(365, 1085, 471, 1191, 589, 1309, 472, 1192)(370, 1090, 476, 1196, 593, 1313, 477, 1197)(374, 1094, 481, 1201, 597, 1317, 482, 1202)(376, 1096, 484, 1204, 600, 1320, 485, 1205)(380, 1100, 488, 1208, 604, 1324, 489, 1209)(383, 1103, 491, 1211, 606, 1326, 492, 1212)(385, 1105, 494, 1214, 610, 1330, 495, 1215)(387, 1107, 496, 1216, 611, 1331, 497, 1217)(390, 1110, 499, 1219, 615, 1335, 500, 1220)(392, 1112, 502, 1222, 618, 1338, 503, 1223)(395, 1115, 506, 1226, 621, 1341, 507, 1227)(400, 1120, 511, 1231, 625, 1345, 512, 1232)(406, 1126, 517, 1237, 629, 1349, 518, 1238)(411, 1131, 523, 1243, 635, 1355, 524, 1244)(418, 1138, 530, 1250, 641, 1361, 531, 1251)(423, 1143, 535, 1255, 645, 1365, 536, 1256)(427, 1147, 540, 1260, 649, 1369, 541, 1261)(429, 1149, 543, 1263, 652, 1372, 544, 1264)(433, 1153, 547, 1267, 656, 1376, 548, 1268)(436, 1156, 550, 1270, 658, 1378, 551, 1271)(438, 1158, 553, 1273, 662, 1382, 554, 1274)(440, 1160, 555, 1275, 663, 1383, 556, 1276)(443, 1163, 558, 1278, 667, 1387, 559, 1279)(445, 1165, 561, 1281, 670, 1390, 562, 1282)(448, 1168, 565, 1285, 673, 1393, 566, 1286)(453, 1173, 570, 1290, 677, 1397, 571, 1291)(459, 1179, 576, 1296, 681, 1401, 577, 1297)(463, 1183, 581, 1301, 642, 1362, 582, 1302)(467, 1187, 574, 1294, 631, 1351, 585, 1305)(469, 1189, 586, 1306, 686, 1406, 587, 1307)(473, 1193, 591, 1311, 683, 1403, 580, 1300)(479, 1199, 594, 1314, 690, 1410, 595, 1315)(483, 1203, 598, 1318, 692, 1412, 599, 1319)(487, 1207, 602, 1322, 694, 1414, 603, 1323)(493, 1213, 607, 1327, 696, 1416, 608, 1328)(498, 1218, 612, 1332, 697, 1417, 613, 1333)(501, 1221, 616, 1336, 699, 1419, 617, 1337)(505, 1225, 620, 1340, 695, 1415, 605, 1325)(510, 1230, 601, 1321, 693, 1413, 623, 1343)(514, 1234, 627, 1347, 698, 1418, 614, 1334)(515, 1235, 579, 1299, 637, 1357, 526, 1246)(519, 1239, 609, 1329, 676, 1396, 630, 1350)(522, 1242, 633, 1353, 590, 1310, 634, 1354)(528, 1248, 638, 1358, 705, 1425, 639, 1359)(532, 1252, 643, 1363, 702, 1422, 632, 1352)(538, 1258, 646, 1366, 709, 1429, 647, 1367)(542, 1262, 650, 1370, 711, 1431, 651, 1371)(546, 1266, 654, 1374, 713, 1433, 655, 1375)(552, 1272, 659, 1379, 715, 1435, 660, 1380)(557, 1277, 664, 1384, 716, 1436, 665, 1385)(560, 1280, 668, 1388, 718, 1438, 669, 1389)(564, 1284, 672, 1392, 714, 1434, 657, 1377)(569, 1289, 653, 1373, 712, 1432, 675, 1395)(573, 1293, 679, 1399, 717, 1437, 666, 1386)(578, 1298, 661, 1381, 624, 1344, 682, 1402)(584, 1304, 684, 1404, 622, 1342, 685, 1405)(588, 1308, 648, 1368, 619, 1339, 678, 1398)(592, 1312, 688, 1408, 628, 1348, 689, 1409)(596, 1316, 671, 1391, 626, 1346, 640, 1360)(636, 1356, 703, 1423, 674, 1394, 704, 1424)(644, 1364, 707, 1427, 680, 1400, 708, 1428)(687, 1407, 720, 1440, 700, 1420, 710, 1430)(691, 1411, 706, 1426, 701, 1421, 719, 1439)
	L = (1, 722)(2, 721)(3, 727)(4, 729)(5, 730)(6, 732)(7, 723)(8, 735)(9, 724)(10, 725)(11, 740)(12, 726)(13, 743)(14, 745)(15, 728)(16, 748)(17, 750)(18, 751)(19, 753)(20, 731)(21, 756)(22, 758)(23, 733)(24, 760)(25, 734)(26, 763)(27, 765)(28, 736)(29, 768)(30, 737)(31, 738)(32, 771)(33, 739)(34, 774)(35, 776)(36, 741)(37, 779)(38, 742)(39, 781)(40, 744)(41, 784)(42, 786)(43, 746)(44, 788)(45, 747)(46, 790)(47, 792)(48, 749)(49, 795)(50, 796)(51, 752)(52, 799)(53, 801)(54, 754)(55, 803)(56, 755)(57, 805)(58, 807)(59, 757)(60, 810)(61, 759)(62, 813)(63, 815)(64, 761)(65, 818)(66, 762)(67, 820)(68, 764)(69, 823)(70, 766)(71, 825)(72, 767)(73, 828)(74, 830)(75, 769)(76, 770)(77, 835)(78, 837)(79, 772)(80, 840)(81, 773)(82, 842)(83, 775)(84, 845)(85, 777)(86, 847)(87, 778)(88, 850)(89, 852)(90, 780)(91, 855)(92, 857)(93, 782)(94, 859)(95, 783)(96, 861)(97, 839)(98, 785)(99, 865)(100, 787)(101, 868)(102, 870)(103, 789)(104, 873)(105, 791)(106, 848)(107, 877)(108, 793)(109, 879)(110, 794)(111, 881)(112, 883)(113, 884)(114, 886)(115, 797)(116, 888)(117, 798)(118, 890)(119, 817)(120, 800)(121, 894)(122, 802)(123, 897)(124, 899)(125, 804)(126, 902)(127, 806)(128, 826)(129, 906)(130, 808)(131, 908)(132, 809)(133, 910)(134, 912)(135, 811)(136, 915)(137, 812)(138, 917)(139, 814)(140, 920)(141, 816)(142, 922)(143, 923)(144, 925)(145, 819)(146, 928)(147, 930)(148, 821)(149, 932)(150, 822)(151, 934)(152, 914)(153, 824)(154, 938)(155, 940)(156, 941)(157, 827)(158, 943)(159, 829)(160, 946)(161, 831)(162, 948)(163, 832)(164, 833)(165, 952)(166, 834)(167, 954)(168, 836)(169, 957)(170, 838)(171, 959)(172, 960)(173, 962)(174, 841)(175, 965)(176, 967)(177, 843)(178, 969)(179, 844)(180, 971)(181, 951)(182, 846)(183, 975)(184, 977)(185, 978)(186, 849)(187, 980)(188, 851)(189, 983)(190, 853)(191, 985)(192, 854)(193, 986)(194, 872)(195, 856)(196, 990)(197, 858)(198, 993)(199, 995)(200, 860)(201, 997)(202, 862)(203, 863)(204, 1000)(205, 864)(206, 1002)(207, 1004)(208, 866)(209, 1006)(210, 867)(211, 1008)(212, 869)(213, 1011)(214, 871)(215, 1013)(216, 1014)(217, 1016)(218, 874)(219, 1018)(220, 875)(221, 876)(222, 1021)(223, 878)(224, 1023)(225, 1025)(226, 880)(227, 1028)(228, 882)(229, 950)(230, 949)(231, 901)(232, 885)(233, 1034)(234, 887)(235, 1037)(236, 1039)(237, 889)(238, 1041)(239, 891)(240, 892)(241, 1044)(242, 893)(243, 1046)(244, 1048)(245, 895)(246, 1050)(247, 896)(248, 1052)(249, 898)(250, 1055)(251, 900)(252, 1057)(253, 1058)(254, 1060)(255, 903)(256, 1062)(257, 904)(258, 905)(259, 1065)(260, 907)(261, 1067)(262, 1069)(263, 909)(264, 1072)(265, 911)(266, 913)(267, 1075)(268, 1076)(269, 1078)(270, 916)(271, 1081)(272, 1083)(273, 918)(274, 1085)(275, 919)(276, 1087)(277, 921)(278, 1090)(279, 1091)(280, 924)(281, 1094)(282, 926)(283, 1096)(284, 927)(285, 1097)(286, 929)(287, 1100)(288, 931)(289, 1103)(290, 1105)(291, 933)(292, 1107)(293, 935)(294, 936)(295, 1110)(296, 937)(297, 1112)(298, 939)(299, 1101)(300, 1115)(301, 942)(302, 1118)(303, 944)(304, 1120)(305, 945)(306, 1122)(307, 1109)(308, 947)(309, 1126)(310, 1098)(311, 1128)(312, 1129)(313, 1131)(314, 953)(315, 1134)(316, 1136)(317, 955)(318, 1138)(319, 956)(320, 1140)(321, 958)(322, 1143)(323, 1144)(324, 961)(325, 1147)(326, 963)(327, 1149)(328, 964)(329, 1150)(330, 966)(331, 1153)(332, 968)(333, 1156)(334, 1158)(335, 970)(336, 1160)(337, 972)(338, 973)(339, 1163)(340, 974)(341, 1165)(342, 976)(343, 1154)(344, 1168)(345, 979)(346, 1171)(347, 981)(348, 1173)(349, 982)(350, 1175)(351, 1162)(352, 984)(353, 1179)(354, 1151)(355, 987)(356, 988)(357, 1183)(358, 989)(359, 1185)(360, 1187)(361, 991)(362, 1189)(363, 992)(364, 1146)(365, 994)(366, 1193)(367, 996)(368, 1170)(369, 1196)(370, 998)(371, 999)(372, 1199)(373, 1137)(374, 1001)(375, 1203)(376, 1003)(377, 1005)(378, 1030)(379, 1207)(380, 1007)(381, 1019)(382, 1211)(383, 1009)(384, 1213)(385, 1010)(386, 1215)(387, 1012)(388, 1218)(389, 1027)(390, 1015)(391, 1221)(392, 1017)(393, 1174)(394, 1225)(395, 1020)(396, 1227)(397, 1141)(398, 1022)(399, 1230)(400, 1024)(401, 1166)(402, 1026)(403, 1234)(404, 1235)(405, 1237)(406, 1029)(407, 1239)(408, 1031)(409, 1032)(410, 1242)(411, 1033)(412, 1244)(413, 1246)(414, 1035)(415, 1248)(416, 1036)(417, 1093)(418, 1038)(419, 1252)(420, 1040)(421, 1117)(422, 1255)(423, 1042)(424, 1043)(425, 1258)(426, 1084)(427, 1045)(428, 1262)(429, 1047)(430, 1049)(431, 1074)(432, 1266)(433, 1051)(434, 1063)(435, 1270)(436, 1053)(437, 1272)(438, 1054)(439, 1274)(440, 1056)(441, 1277)(442, 1071)(443, 1059)(444, 1280)(445, 1061)(446, 1121)(447, 1284)(448, 1064)(449, 1286)(450, 1088)(451, 1066)(452, 1289)(453, 1068)(454, 1113)(455, 1070)(456, 1293)(457, 1294)(458, 1296)(459, 1073)(460, 1298)(461, 1299)(462, 1300)(463, 1077)(464, 1263)(465, 1079)(466, 1304)(467, 1080)(468, 1305)(469, 1082)(470, 1260)(471, 1308)(472, 1310)(473, 1086)(474, 1312)(475, 1281)(476, 1089)(477, 1275)(478, 1314)(479, 1092)(480, 1316)(481, 1249)(482, 1287)(483, 1095)(484, 1243)(485, 1306)(486, 1321)(487, 1099)(488, 1323)(489, 1285)(490, 1325)(491, 1102)(492, 1302)(493, 1104)(494, 1329)(495, 1106)(496, 1256)(497, 1332)(498, 1108)(499, 1334)(500, 1297)(501, 1111)(502, 1254)(503, 1292)(504, 1339)(505, 1114)(506, 1268)(507, 1116)(508, 1261)(509, 1342)(510, 1119)(511, 1344)(512, 1346)(513, 1282)(514, 1123)(515, 1124)(516, 1348)(517, 1125)(518, 1279)(519, 1127)(520, 1351)(521, 1352)(522, 1130)(523, 1204)(524, 1132)(525, 1356)(526, 1133)(527, 1357)(528, 1135)(529, 1201)(530, 1360)(531, 1362)(532, 1139)(533, 1364)(534, 1222)(535, 1142)(536, 1216)(537, 1366)(538, 1145)(539, 1368)(540, 1190)(541, 1228)(542, 1148)(543, 1184)(544, 1358)(545, 1373)(546, 1152)(547, 1375)(548, 1226)(549, 1377)(550, 1155)(551, 1354)(552, 1157)(553, 1381)(554, 1159)(555, 1197)(556, 1384)(557, 1161)(558, 1386)(559, 1238)(560, 1164)(561, 1195)(562, 1233)(563, 1391)(564, 1167)(565, 1209)(566, 1169)(567, 1202)(568, 1394)(569, 1172)(570, 1396)(571, 1398)(572, 1223)(573, 1176)(574, 1177)(575, 1400)(576, 1178)(577, 1220)(578, 1180)(579, 1181)(580, 1182)(581, 1363)(582, 1212)(583, 1371)(584, 1186)(585, 1188)(586, 1205)(587, 1407)(588, 1191)(589, 1379)(590, 1192)(591, 1353)(592, 1194)(593, 1389)(594, 1198)(595, 1392)(596, 1200)(597, 1411)(598, 1393)(599, 1355)(600, 1378)(601, 1206)(602, 1404)(603, 1208)(604, 1376)(605, 1210)(606, 1372)(607, 1361)(608, 1397)(609, 1214)(610, 1387)(611, 1383)(612, 1217)(613, 1408)(614, 1219)(615, 1382)(616, 1401)(617, 1365)(618, 1420)(619, 1224)(620, 1367)(621, 1370)(622, 1229)(623, 1402)(624, 1231)(625, 1380)(626, 1232)(627, 1421)(628, 1236)(629, 1388)(630, 1395)(631, 1240)(632, 1241)(633, 1311)(634, 1271)(635, 1319)(636, 1245)(637, 1247)(638, 1264)(639, 1426)(640, 1250)(641, 1327)(642, 1251)(643, 1301)(644, 1253)(645, 1337)(646, 1257)(647, 1340)(648, 1259)(649, 1430)(650, 1341)(651, 1303)(652, 1326)(653, 1265)(654, 1423)(655, 1267)(656, 1324)(657, 1269)(658, 1320)(659, 1309)(660, 1345)(661, 1273)(662, 1335)(663, 1331)(664, 1276)(665, 1427)(666, 1278)(667, 1330)(668, 1349)(669, 1313)(670, 1439)(671, 1283)(672, 1315)(673, 1318)(674, 1288)(675, 1350)(676, 1290)(677, 1328)(678, 1291)(679, 1440)(680, 1295)(681, 1336)(682, 1343)(683, 1422)(684, 1322)(685, 1428)(686, 1434)(687, 1307)(688, 1333)(689, 1424)(690, 1437)(691, 1317)(692, 1433)(693, 1432)(694, 1431)(695, 1425)(696, 1435)(697, 1438)(698, 1429)(699, 1436)(700, 1338)(701, 1347)(702, 1403)(703, 1374)(704, 1409)(705, 1415)(706, 1359)(707, 1385)(708, 1405)(709, 1418)(710, 1369)(711, 1414)(712, 1413)(713, 1412)(714, 1406)(715, 1416)(716, 1419)(717, 1410)(718, 1417)(719, 1390)(720, 1399)
	local type(s) :: { ( 2, 5, 2, 5, 2, 5, 2, 5 ) }
Outer automorphisms :: reflexible
Dual of E19.2433
Transitivity :: ET+ VT+ AT
Graph::
	v = 180 e = 720 f = 504
	degree seq :: [ 8^180 ]

E19.2435 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 5})
Quotient :: loop
Aut^+ = C2 x A6 (small group id <720, 766>)
Aut   = $<1440, 5843>$ (small group id <1440, 5843>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, T1^4, T2^5, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-2 * T2^-2 * T1^-1, (T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-2)^2, T1 * T2^-2 * T1^-2 * T2^2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-2 * T2^-2 * T1 * T2^-2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1^-2, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map::
	R = (1, 721, 3, 723, 10, 730, 14, 734, 5, 725)(2, 722, 7, 727, 17, 737, 20, 740, 8, 728)(4, 724, 12, 732, 26, 746, 22, 742, 9, 729)(6, 726, 15, 735, 31, 751, 34, 754, 16, 736)(11, 731, 25, 745, 47, 767, 45, 765, 23, 743)(13, 733, 28, 748, 52, 772, 55, 775, 29, 749)(18, 738, 37, 757, 66, 786, 64, 784, 35, 755)(19, 739, 38, 758, 68, 788, 71, 791, 39, 759)(21, 741, 41, 761, 73, 793, 76, 796, 42, 762)(24, 744, 46, 766, 81, 801, 56, 776, 30, 750)(27, 747, 51, 771, 89, 809, 87, 807, 49, 769)(32, 752, 59, 779, 101, 821, 99, 819, 57, 777)(33, 753, 60, 780, 103, 823, 106, 826, 61, 781)(36, 756, 65, 785, 111, 831, 72, 792, 40, 760)(43, 763, 50, 770, 88, 808, 130, 850, 77, 797)(44, 764, 78, 798, 131, 851, 134, 854, 79, 799)(48, 768, 85, 805, 142, 862, 140, 860, 83, 803)(53, 773, 93, 813, 154, 874, 152, 872, 91, 811)(54, 774, 94, 814, 156, 876, 159, 879, 95, 815)(58, 778, 100, 820, 165, 885, 107, 827, 62, 782)(63, 783, 108, 828, 177, 897, 180, 900, 109, 829)(67, 787, 115, 835, 188, 908, 186, 906, 113, 833)(69, 789, 118, 838, 193, 913, 191, 911, 116, 836)(70, 790, 119, 839, 195, 915, 198, 918, 120, 840)(74, 794, 125, 845, 204, 924, 202, 922, 123, 843)(75, 795, 126, 846, 206, 926, 209, 929, 127, 847)(80, 800, 84, 804, 141, 861, 221, 941, 135, 855)(82, 802, 138, 858, 225, 945, 223, 943, 136, 856)(86, 806, 144, 864, 234, 954, 237, 957, 145, 865)(90, 810, 150, 870, 243, 963, 241, 961, 148, 868)(92, 812, 153, 873, 248, 968, 160, 880, 96, 816)(97, 817, 137, 857, 224, 944, 261, 981, 161, 881)(98, 818, 162, 882, 262, 982, 265, 985, 163, 883)(102, 822, 169, 889, 273, 993, 271, 991, 167, 887)(104, 824, 172, 892, 278, 998, 276, 996, 170, 890)(105, 825, 173, 893, 280, 1000, 283, 1003, 174, 894)(110, 830, 114, 834, 187, 907, 293, 1013, 181, 901)(112, 832, 184, 904, 297, 1017, 295, 1015, 182, 902)(117, 837, 192, 912, 309, 1029, 199, 919, 121, 841)(122, 842, 183, 903, 296, 1016, 322, 1042, 200, 920)(124, 844, 203, 923, 324, 1044, 210, 930, 128, 848)(129, 849, 211, 931, 336, 1056, 339, 1059, 212, 932)(132, 852, 216, 936, 342, 1062, 275, 995, 214, 934)(133, 853, 217, 937, 344, 1064, 347, 1067, 218, 938)(139, 859, 227, 947, 359, 1079, 362, 1082, 228, 948)(143, 863, 233, 953, 368, 1088, 366, 1086, 231, 951)(146, 866, 149, 869, 242, 962, 375, 1095, 238, 958)(147, 867, 239, 959, 376, 1096, 340, 1060, 213, 933)(151, 871, 245, 965, 263, 983, 386, 1106, 246, 966)(155, 875, 252, 972, 394, 1114, 392, 1112, 250, 970)(157, 877, 255, 975, 399, 1119, 397, 1117, 253, 973)(158, 878, 256, 976, 401, 1121, 404, 1124, 257, 977)(164, 884, 168, 888, 272, 992, 413, 1133, 266, 986)(166, 886, 269, 989, 417, 1137, 415, 1135, 267, 987)(171, 891, 277, 997, 426, 1146, 284, 1004, 175, 895)(176, 896, 268, 988, 416, 1136, 438, 1158, 285, 1005)(178, 898, 288, 1008, 323, 1043, 201, 921, 286, 1006)(179, 899, 289, 1009, 440, 1160, 443, 1163, 290, 1010)(185, 905, 299, 1019, 345, 1065, 456, 1176, 300, 1020)(189, 909, 305, 1025, 462, 1182, 460, 1180, 303, 1023)(190, 910, 306, 1026, 235, 955, 370, 1090, 307, 1027)(194, 914, 313, 1033, 469, 1189, 396, 1116, 311, 1031)(196, 916, 316, 1036, 474, 1194, 472, 1192, 314, 1034)(197, 917, 317, 1037, 476, 1196, 479, 1199, 318, 1038)(205, 925, 328, 1048, 492, 1212, 490, 1210, 326, 1046)(207, 927, 331, 1051, 495, 1215, 391, 1111, 329, 1049)(208, 928, 332, 1052, 497, 1217, 500, 1220, 333, 1053)(215, 935, 341, 1061, 508, 1228, 348, 1068, 219, 939)(220, 940, 349, 1069, 514, 1234, 517, 1237, 350, 1070)(222, 942, 352, 1072, 519, 1239, 522, 1242, 353, 1073)(226, 946, 358, 1078, 526, 1246, 437, 1157, 356, 1076)(229, 949, 232, 952, 367, 1087, 533, 1253, 363, 1083)(230, 950, 364, 1084, 534, 1254, 518, 1238, 351, 1071)(236, 956, 371, 1091, 360, 1080, 528, 1248, 372, 1092)(240, 960, 378, 1098, 548, 1268, 551, 1271, 379, 1099)(244, 964, 384, 1104, 555, 1275, 516, 1236, 382, 1102)(247, 967, 251, 971, 393, 1113, 559, 1279, 387, 1107)(249, 969, 390, 1110, 477, 1197, 561, 1281, 388, 1108)(254, 974, 398, 1118, 566, 1286, 405, 1125, 258, 978)(259, 979, 389, 1109, 562, 1282, 577, 1297, 406, 1126)(260, 980, 407, 1127, 418, 1138, 579, 1299, 408, 1128)(264, 984, 410, 1130, 549, 1269, 582, 1302, 411, 1131)(270, 990, 419, 1139, 441, 1161, 589, 1309, 420, 1140)(274, 994, 425, 1145, 595, 1315, 593, 1313, 423, 1143)(279, 999, 429, 1149, 600, 1320, 471, 1191, 428, 1148)(281, 1001, 432, 1152, 603, 1323, 489, 1209, 430, 1150)(282, 1002, 433, 1153, 605, 1325, 608, 1328, 434, 1154)(287, 1007, 327, 1047, 491, 1211, 444, 1164, 291, 1011)(292, 1012, 445, 1165, 536, 1256, 365, 1085, 446, 1166)(294, 1014, 448, 1168, 513, 1233, 619, 1339, 449, 1169)(298, 1018, 454, 1174, 506, 1226, 338, 1058, 452, 1172)(301, 1021, 304, 1024, 461, 1181, 626, 1346, 457, 1177)(302, 1022, 458, 1178, 515, 1235, 616, 1336, 447, 1167)(308, 1028, 312, 1032, 468, 1188, 531, 1251, 373, 1093)(310, 1030, 467, 1187, 606, 1326, 576, 1296, 465, 1185)(315, 1035, 473, 1193, 637, 1357, 480, 1200, 319, 1039)(320, 1040, 466, 1186, 634, 1354, 647, 1367, 481, 1201)(321, 1041, 482, 1202, 377, 1097, 547, 1267, 483, 1203)(325, 1045, 488, 1208, 402, 1122, 571, 1291, 486, 1206)(330, 1050, 494, 1214, 654, 1374, 501, 1221, 334, 1054)(335, 1055, 487, 1207, 651, 1371, 560, 1280, 502, 1222)(337, 1057, 505, 1225, 660, 1380, 563, 1283, 503, 1223)(343, 1063, 510, 1230, 664, 1384, 663, 1383, 509, 1229)(346, 1066, 511, 1231, 666, 1386, 667, 1387, 512, 1232)(354, 1074, 357, 1077, 525, 1245, 672, 1392, 523, 1243)(355, 1075, 524, 1244, 673, 1393, 580, 1300, 409, 1129)(361, 1081, 529, 1249, 520, 1240, 669, 1389, 530, 1250)(369, 1089, 541, 1261, 607, 1327, 578, 1298, 539, 1259)(374, 1094, 544, 1264, 535, 1255, 592, 1312, 545, 1265)(380, 1100, 383, 1103, 554, 1274, 684, 1404, 552, 1272)(381, 1101, 553, 1273, 685, 1405, 668, 1388, 546, 1266)(385, 1105, 557, 1277, 686, 1406, 687, 1407, 558, 1278)(395, 1115, 565, 1285, 689, 1409, 688, 1408, 564, 1284)(400, 1120, 569, 1289, 670, 1390, 521, 1241, 568, 1288)(403, 1123, 572, 1292, 527, 1247, 596, 1316, 573, 1293)(412, 1132, 583, 1303, 627, 1347, 459, 1179, 584, 1304)(414, 1134, 586, 1306, 614, 1334, 652, 1372, 587, 1307)(421, 1141, 424, 1144, 594, 1314, 699, 1419, 590, 1310)(422, 1142, 591, 1311, 615, 1335, 696, 1416, 585, 1305)(427, 1147, 599, 1319, 498, 1218, 646, 1366, 597, 1317)(431, 1151, 602, 1322, 702, 1422, 609, 1329, 435, 1155)(436, 1156, 598, 1318, 700, 1420, 650, 1370, 610, 1330)(439, 1159, 611, 1331, 705, 1425, 649, 1369, 485, 1205)(442, 1162, 612, 1332, 706, 1426, 665, 1385, 613, 1333)(450, 1170, 453, 1173, 504, 1224, 659, 1379, 620, 1340)(451, 1171, 621, 1341, 662, 1382, 507, 1227, 484, 1204)(455, 1175, 623, 1343, 617, 1337, 707, 1427, 624, 1344)(463, 1183, 632, 1352, 499, 1219, 648, 1368, 630, 1350)(464, 1184, 542, 1262, 681, 1401, 715, 1435, 633, 1353)(470, 1190, 636, 1356, 657, 1377, 716, 1436, 635, 1355)(475, 1195, 640, 1360, 708, 1428, 618, 1338, 639, 1359)(478, 1198, 642, 1362, 622, 1342, 556, 1276, 643, 1363)(493, 1213, 644, 1364, 641, 1361, 720, 1440, 653, 1373)(496, 1216, 645, 1365, 718, 1438, 658, 1378, 656, 1376)(532, 1252, 677, 1397, 674, 1394, 703, 1423, 678, 1398)(537, 1257, 540, 1260, 581, 1301, 695, 1415, 680, 1400)(538, 1258, 588, 1308, 697, 1417, 694, 1414, 679, 1399)(543, 1263, 676, 1396, 714, 1434, 628, 1348, 631, 1351)(550, 1270, 682, 1402, 661, 1381, 713, 1433, 629, 1349)(567, 1287, 692, 1412, 698, 1418, 671, 1391, 690, 1410)(570, 1290, 693, 1413, 701, 1421, 601, 1321, 574, 1294)(575, 1295, 691, 1411, 675, 1395, 704, 1424, 604, 1324)(625, 1345, 711, 1431, 710, 1430, 655, 1375, 712, 1432)(638, 1358, 719, 1439, 683, 1403, 709, 1429, 717, 1437)
	L = (1, 722)(2, 726)(3, 729)(4, 721)(5, 733)(6, 724)(7, 725)(8, 739)(9, 741)(10, 743)(11, 723)(12, 736)(13, 738)(14, 750)(15, 728)(16, 753)(17, 755)(18, 727)(19, 752)(20, 760)(21, 731)(22, 763)(23, 764)(24, 730)(25, 762)(26, 769)(27, 732)(28, 734)(29, 774)(30, 773)(31, 777)(32, 735)(33, 747)(34, 782)(35, 783)(36, 737)(37, 749)(38, 740)(39, 790)(40, 789)(41, 742)(42, 795)(43, 794)(44, 744)(45, 800)(46, 799)(47, 803)(48, 745)(49, 806)(50, 746)(51, 781)(52, 811)(53, 748)(54, 787)(55, 816)(56, 817)(57, 818)(58, 751)(59, 759)(60, 754)(61, 825)(62, 824)(63, 756)(64, 830)(65, 829)(66, 833)(67, 757)(68, 836)(69, 758)(70, 822)(71, 841)(72, 842)(73, 843)(74, 761)(75, 768)(76, 848)(77, 849)(78, 765)(79, 853)(80, 852)(81, 856)(82, 766)(83, 859)(84, 767)(85, 847)(86, 770)(87, 866)(88, 865)(89, 868)(90, 771)(91, 871)(92, 772)(93, 776)(94, 775)(95, 878)(96, 877)(97, 875)(98, 778)(99, 884)(100, 883)(101, 887)(102, 779)(103, 890)(104, 780)(105, 810)(106, 895)(107, 896)(108, 784)(109, 899)(110, 898)(111, 902)(112, 785)(113, 905)(114, 786)(115, 815)(116, 910)(117, 788)(118, 792)(119, 791)(120, 917)(121, 916)(122, 914)(123, 921)(124, 793)(125, 797)(126, 796)(127, 928)(128, 927)(129, 925)(130, 933)(131, 934)(132, 798)(133, 802)(134, 939)(135, 940)(136, 942)(137, 801)(138, 938)(139, 804)(140, 949)(141, 948)(142, 951)(143, 805)(144, 807)(145, 956)(146, 955)(147, 808)(148, 960)(149, 809)(150, 894)(151, 812)(152, 967)(153, 966)(154, 970)(155, 813)(156, 973)(157, 814)(158, 909)(159, 978)(160, 979)(161, 980)(162, 819)(163, 984)(164, 983)(165, 987)(166, 820)(167, 990)(168, 821)(169, 840)(170, 995)(171, 823)(172, 827)(173, 826)(174, 1002)(175, 1001)(176, 999)(177, 1006)(178, 828)(179, 832)(180, 1011)(181, 1012)(182, 1014)(183, 831)(184, 1010)(185, 834)(186, 1021)(187, 1020)(188, 1023)(189, 835)(190, 837)(191, 1028)(192, 1027)(193, 1031)(194, 838)(195, 1034)(196, 839)(197, 994)(198, 1039)(199, 1040)(200, 1041)(201, 844)(202, 1007)(203, 1043)(204, 1046)(205, 845)(206, 1049)(207, 846)(208, 863)(209, 1054)(210, 1055)(211, 850)(212, 1058)(213, 1057)(214, 996)(215, 851)(216, 855)(217, 854)(218, 1066)(219, 1065)(220, 1063)(221, 1071)(222, 857)(223, 1074)(224, 1073)(225, 1076)(226, 858)(227, 860)(228, 1081)(229, 1080)(230, 861)(231, 1085)(232, 862)(233, 1053)(234, 1026)(235, 864)(236, 867)(237, 1093)(238, 1094)(239, 1092)(240, 869)(241, 1100)(242, 1099)(243, 1102)(244, 870)(245, 872)(246, 1105)(247, 982)(248, 1108)(249, 873)(250, 1111)(251, 874)(252, 881)(253, 1116)(254, 876)(255, 880)(256, 879)(257, 1123)(258, 1122)(259, 1120)(260, 1115)(261, 1129)(262, 965)(263, 882)(264, 886)(265, 1107)(266, 1132)(267, 1134)(268, 885)(269, 1131)(270, 888)(271, 1141)(272, 1140)(273, 1143)(274, 889)(275, 891)(276, 935)(277, 1062)(278, 1148)(279, 892)(280, 1150)(281, 893)(282, 964)(283, 1155)(284, 1156)(285, 1157)(286, 922)(287, 897)(288, 901)(289, 900)(290, 1162)(291, 1161)(292, 1159)(293, 1167)(294, 903)(295, 1170)(296, 1169)(297, 1172)(298, 904)(299, 906)(300, 1175)(301, 1064)(302, 907)(303, 1179)(304, 908)(305, 977)(306, 911)(307, 1184)(308, 954)(309, 1185)(310, 912)(311, 1117)(312, 913)(313, 920)(314, 1191)(315, 915)(316, 919)(317, 918)(318, 1198)(319, 1197)(320, 1195)(321, 1190)(322, 1204)(323, 1205)(324, 1206)(325, 923)(326, 1209)(327, 924)(328, 932)(329, 1112)(330, 926)(331, 930)(332, 929)(333, 1219)(334, 1218)(335, 1216)(336, 1223)(337, 931)(338, 1213)(339, 1173)(340, 1227)(341, 998)(342, 1229)(343, 936)(344, 1019)(345, 937)(346, 946)(347, 1177)(348, 1233)(349, 941)(350, 1236)(351, 1235)(352, 943)(353, 1241)(354, 1240)(355, 944)(356, 1158)(357, 945)(358, 1232)(359, 1091)(360, 947)(361, 950)(362, 1251)(363, 1252)(364, 1250)(365, 952)(366, 1257)(367, 1256)(368, 1259)(369, 953)(370, 958)(371, 957)(372, 1263)(373, 1079)(374, 1262)(375, 1266)(376, 1202)(377, 959)(378, 961)(379, 1270)(380, 1269)(381, 962)(382, 1237)(383, 963)(384, 1154)(385, 969)(386, 986)(387, 1268)(388, 1280)(389, 968)(390, 1278)(391, 971)(392, 1050)(393, 1215)(394, 1284)(395, 972)(396, 974)(397, 1032)(398, 1189)(399, 1288)(400, 975)(401, 1208)(402, 976)(403, 1183)(404, 1294)(405, 1295)(406, 1296)(407, 981)(408, 1298)(409, 1137)(410, 985)(411, 1301)(412, 1277)(413, 1305)(414, 988)(415, 1300)(416, 1307)(417, 1127)(418, 989)(419, 991)(420, 1308)(421, 1160)(422, 992)(423, 1312)(424, 993)(425, 1038)(426, 1317)(427, 997)(428, 1192)(429, 1005)(430, 1210)(431, 1000)(432, 1004)(433, 1003)(434, 1327)(435, 1326)(436, 1324)(437, 1321)(438, 1077)(439, 1008)(440, 1139)(441, 1009)(442, 1018)(443, 1310)(444, 1334)(445, 1013)(446, 1086)(447, 1335)(448, 1015)(449, 1338)(450, 1337)(451, 1016)(452, 1059)(453, 1017)(454, 1333)(455, 1022)(456, 1068)(457, 1345)(458, 1344)(459, 1024)(460, 1348)(461, 1347)(462, 1350)(463, 1025)(464, 1030)(465, 1297)(466, 1029)(467, 1353)(468, 1119)(469, 1355)(470, 1033)(471, 1035)(472, 1061)(473, 1320)(474, 1359)(475, 1036)(476, 1110)(477, 1037)(478, 1316)(479, 1364)(480, 1365)(481, 1366)(482, 1042)(483, 1368)(484, 1096)(485, 1045)(486, 1370)(487, 1044)(488, 1369)(489, 1047)(490, 1151)(491, 1323)(492, 1373)(493, 1048)(494, 1114)(495, 1376)(496, 1051)(497, 1319)(498, 1052)(499, 1089)(500, 1356)(501, 1360)(502, 1281)(503, 1378)(504, 1056)(505, 1060)(506, 1362)(507, 1381)(508, 1194)(509, 1147)(510, 1070)(511, 1067)(512, 1315)(513, 1343)(514, 1178)(515, 1069)(516, 1385)(517, 1103)(518, 1388)(519, 1249)(520, 1072)(521, 1075)(522, 1188)(523, 1391)(524, 1390)(525, 1136)(526, 1292)(527, 1078)(528, 1083)(529, 1082)(530, 1314)(531, 1239)(532, 1396)(533, 1399)(534, 1264)(535, 1084)(536, 1311)(537, 1331)(538, 1087)(539, 1299)(540, 1088)(541, 1352)(542, 1090)(543, 1097)(544, 1095)(545, 1313)(546, 1254)(547, 1351)(548, 1130)(549, 1098)(550, 1101)(551, 1279)(552, 1403)(553, 1349)(554, 1234)(555, 1342)(556, 1104)(557, 1106)(558, 1361)(559, 1380)(560, 1109)(561, 1200)(562, 1371)(563, 1113)(564, 1375)(565, 1128)(566, 1410)(567, 1118)(568, 1242)(569, 1126)(570, 1121)(571, 1125)(572, 1124)(573, 1363)(574, 1246)(575, 1330)(576, 1329)(577, 1186)(578, 1328)(579, 1260)(580, 1414)(581, 1138)(582, 1272)(583, 1133)(584, 1180)(585, 1405)(586, 1135)(587, 1395)(588, 1142)(589, 1164)(590, 1418)(591, 1258)(592, 1144)(593, 1387)(594, 1255)(595, 1247)(596, 1145)(597, 1367)(598, 1146)(599, 1383)(600, 1421)(601, 1149)(602, 1212)(603, 1424)(604, 1152)(605, 1187)(606, 1153)(607, 1276)(608, 1285)(609, 1289)(610, 1291)(611, 1166)(612, 1163)(613, 1275)(614, 1417)(615, 1165)(616, 1238)(617, 1168)(618, 1171)(619, 1228)(620, 1429)(621, 1428)(622, 1174)(623, 1176)(624, 1274)(625, 1231)(626, 1433)(627, 1273)(628, 1406)(629, 1181)(630, 1267)(631, 1182)(632, 1293)(633, 1409)(634, 1282)(635, 1287)(636, 1203)(637, 1437)(638, 1193)(639, 1339)(640, 1201)(641, 1196)(642, 1199)(643, 1261)(644, 1226)(645, 1222)(646, 1221)(647, 1318)(648, 1220)(649, 1290)(650, 1207)(651, 1420)(652, 1211)(653, 1423)(654, 1430)(655, 1214)(656, 1283)(657, 1217)(658, 1224)(659, 1438)(660, 1402)(661, 1225)(662, 1431)(663, 1377)(664, 1426)(665, 1230)(666, 1432)(667, 1401)(668, 1416)(669, 1243)(670, 1422)(671, 1419)(672, 1411)(673, 1397)(674, 1244)(675, 1245)(676, 1248)(677, 1253)(678, 1440)(679, 1393)(680, 1439)(681, 1265)(682, 1271)(683, 1415)(684, 1427)(685, 1303)(686, 1304)(687, 1434)(688, 1435)(689, 1325)(690, 1392)(691, 1286)(692, 1436)(693, 1425)(694, 1306)(695, 1302)(696, 1336)(697, 1309)(698, 1332)(699, 1389)(700, 1354)(701, 1358)(702, 1394)(703, 1322)(704, 1372)(705, 1400)(706, 1412)(707, 1340)(708, 1374)(709, 1404)(710, 1341)(711, 1346)(712, 1408)(713, 1382)(714, 1398)(715, 1386)(716, 1384)(717, 1379)(718, 1357)(719, 1413)(720, 1407)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2431
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 144 e = 720 f = 540
	degree seq :: [ 10^144 ]

E19.2436 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 5})
Quotient :: loop
Aut^+ = C2 x A6 (small group id <720, 766>)
Aut   = $<1440, 5843>$ (small group id <1440, 5843>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5, (T2 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^4, T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2, (T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 721, 3, 723)(2, 722, 6, 726)(4, 724, 9, 729)(5, 725, 11, 731)(7, 727, 15, 735)(8, 728, 16, 736)(10, 730, 20, 740)(12, 732, 24, 744)(13, 733, 25, 745)(14, 734, 27, 747)(17, 737, 31, 751)(18, 738, 33, 753)(19, 739, 28, 748)(21, 741, 38, 758)(22, 742, 39, 759)(23, 743, 41, 761)(26, 746, 44, 764)(29, 749, 48, 768)(30, 750, 51, 771)(32, 752, 54, 774)(34, 754, 57, 777)(35, 755, 59, 779)(36, 756, 55, 775)(37, 757, 61, 781)(40, 760, 64, 784)(42, 762, 67, 787)(43, 763, 69, 789)(45, 765, 73, 793)(46, 766, 74, 794)(47, 767, 76, 796)(49, 769, 78, 798)(50, 770, 79, 799)(52, 772, 83, 803)(53, 773, 80, 800)(56, 776, 88, 808)(58, 778, 92, 812)(60, 780, 94, 814)(62, 782, 97, 817)(63, 783, 99, 819)(65, 785, 103, 823)(66, 786, 104, 824)(68, 788, 107, 827)(70, 790, 111, 831)(71, 791, 108, 828)(72, 792, 113, 833)(75, 795, 116, 836)(77, 797, 120, 840)(81, 801, 126, 846)(82, 802, 128, 848)(84, 804, 130, 850)(85, 805, 132, 852)(86, 806, 133, 853)(87, 807, 135, 855)(89, 809, 137, 857)(90, 810, 139, 859)(91, 811, 117, 837)(93, 813, 143, 863)(95, 815, 147, 867)(96, 816, 148, 868)(98, 818, 151, 871)(100, 820, 155, 875)(101, 821, 152, 872)(102, 822, 157, 877)(105, 825, 160, 880)(106, 826, 162, 882)(109, 829, 166, 886)(110, 830, 168, 888)(112, 832, 170, 890)(114, 834, 173, 893)(115, 835, 175, 895)(118, 838, 179, 899)(119, 839, 181, 901)(121, 841, 184, 904)(122, 842, 182, 902)(123, 843, 187, 907)(124, 844, 188, 908)(125, 845, 190, 910)(127, 847, 192, 912)(129, 849, 195, 915)(131, 851, 198, 918)(134, 854, 201, 921)(136, 856, 191, 911)(138, 858, 207, 927)(140, 860, 209, 929)(141, 861, 211, 931)(142, 862, 212, 932)(144, 864, 216, 936)(145, 865, 202, 922)(146, 866, 218, 938)(149, 869, 221, 941)(150, 870, 223, 943)(153, 873, 227, 947)(154, 874, 229, 949)(156, 876, 231, 951)(158, 878, 234, 954)(159, 879, 236, 956)(161, 881, 239, 959)(163, 883, 241, 961)(164, 884, 242, 962)(165, 885, 244, 964)(167, 887, 245, 965)(169, 889, 248, 968)(171, 891, 252, 972)(172, 892, 253, 973)(174, 894, 256, 976)(176, 896, 260, 980)(177, 897, 257, 977)(178, 898, 262, 982)(180, 900, 264, 984)(183, 903, 267, 987)(185, 905, 269, 989)(186, 906, 270, 990)(189, 909, 273, 993)(193, 913, 280, 1000)(194, 914, 281, 1001)(196, 916, 284, 1004)(197, 917, 274, 994)(199, 919, 288, 1008)(200, 920, 290, 1010)(203, 923, 294, 1014)(204, 924, 278, 998)(205, 925, 297, 1017)(206, 926, 276, 996)(208, 928, 258, 978)(210, 930, 303, 1023)(213, 933, 306, 1026)(214, 934, 263, 983)(215, 935, 308, 1028)(217, 937, 310, 1030)(219, 939, 313, 1033)(220, 940, 315, 1035)(222, 942, 318, 1038)(224, 944, 320, 1040)(225, 945, 321, 1041)(226, 946, 323, 1043)(228, 948, 324, 1044)(230, 950, 327, 1047)(232, 952, 331, 1051)(233, 953, 332, 1052)(235, 955, 335, 1055)(237, 957, 338, 1058)(238, 958, 336, 1056)(240, 960, 341, 1061)(243, 963, 343, 1063)(246, 966, 348, 1068)(247, 967, 349, 1069)(249, 969, 352, 1072)(250, 970, 344, 1064)(251, 971, 354, 1074)(254, 974, 357, 1077)(255, 975, 359, 1079)(259, 979, 363, 1083)(261, 981, 365, 1085)(265, 985, 370, 1090)(266, 986, 372, 1092)(268, 988, 375, 1095)(271, 991, 380, 1100)(272, 992, 381, 1101)(275, 995, 385, 1105)(277, 997, 388, 1108)(279, 999, 390, 1110)(282, 1002, 393, 1113)(283, 1003, 394, 1114)(285, 1005, 396, 1116)(286, 1006, 398, 1118)(287, 1007, 399, 1119)(289, 1009, 360, 1080)(291, 1011, 405, 1125)(292, 1012, 402, 1122)(293, 1013, 407, 1127)(295, 1015, 408, 1128)(296, 1016, 409, 1129)(298, 1018, 410, 1130)(299, 1019, 362, 1082)(300, 1020, 412, 1132)(301, 1021, 415, 1135)(302, 1022, 366, 1086)(304, 1024, 419, 1139)(305, 1025, 421, 1141)(307, 1027, 369, 1089)(309, 1029, 403, 1123)(311, 1031, 429, 1149)(312, 1032, 430, 1150)(314, 1034, 433, 1153)(316, 1036, 436, 1156)(317, 1037, 434, 1154)(319, 1039, 439, 1159)(322, 1042, 440, 1160)(325, 1045, 445, 1165)(326, 1046, 446, 1166)(328, 1048, 449, 1169)(329, 1049, 441, 1161)(330, 1050, 451, 1171)(333, 1053, 454, 1174)(334, 1054, 456, 1176)(337, 1057, 457, 1177)(339, 1059, 459, 1179)(340, 1060, 460, 1180)(342, 1062, 464, 1184)(345, 1065, 468, 1188)(346, 1066, 470, 1190)(347, 1067, 471, 1191)(350, 1070, 474, 1194)(351, 1071, 475, 1195)(353, 1073, 477, 1197)(355, 1075, 479, 1199)(356, 1076, 480, 1200)(358, 1078, 482, 1202)(361, 1081, 484, 1204)(364, 1084, 486, 1206)(367, 1087, 489, 1209)(368, 1088, 492, 1212)(371, 1091, 495, 1215)(373, 1093, 498, 1218)(374, 1094, 499, 1219)(376, 1096, 500, 1220)(377, 1097, 496, 1216)(378, 1098, 502, 1222)(379, 1099, 503, 1223)(382, 1102, 509, 1229)(383, 1103, 506, 1226)(384, 1104, 511, 1231)(386, 1106, 512, 1232)(387, 1107, 513, 1233)(389, 1109, 514, 1234)(391, 1111, 517, 1237)(392, 1112, 518, 1238)(395, 1115, 507, 1227)(397, 1117, 523, 1243)(400, 1120, 522, 1242)(401, 1121, 527, 1247)(404, 1124, 519, 1239)(406, 1126, 516, 1236)(411, 1131, 533, 1253)(413, 1133, 534, 1254)(414, 1134, 535, 1255)(416, 1136, 536, 1256)(417, 1137, 538, 1258)(418, 1138, 510, 1230)(420, 1140, 483, 1203)(422, 1142, 508, 1228)(423, 1143, 541, 1261)(424, 1144, 529, 1249)(425, 1145, 504, 1224)(426, 1146, 501, 1221)(427, 1147, 530, 1250)(428, 1148, 548, 1268)(431, 1151, 550, 1270)(432, 1152, 552, 1272)(435, 1155, 553, 1273)(437, 1157, 554, 1274)(438, 1158, 555, 1275)(442, 1162, 558, 1278)(443, 1163, 560, 1280)(444, 1164, 561, 1281)(447, 1167, 563, 1283)(448, 1168, 564, 1284)(450, 1170, 565, 1285)(452, 1172, 567, 1287)(453, 1173, 505, 1225)(455, 1175, 569, 1289)(458, 1178, 571, 1291)(461, 1181, 574, 1294)(462, 1182, 497, 1217)(463, 1183, 575, 1295)(465, 1185, 578, 1298)(466, 1186, 576, 1296)(467, 1187, 579, 1299)(469, 1189, 580, 1300)(472, 1192, 582, 1302)(473, 1193, 583, 1303)(476, 1196, 577, 1297)(478, 1198, 588, 1308)(481, 1201, 590, 1310)(485, 1205, 596, 1316)(487, 1207, 593, 1313)(488, 1208, 598, 1318)(490, 1210, 599, 1319)(491, 1211, 600, 1320)(493, 1213, 602, 1322)(494, 1214, 603, 1323)(515, 1235, 619, 1339)(520, 1240, 622, 1342)(521, 1241, 614, 1334)(524, 1244, 615, 1335)(525, 1245, 629, 1349)(526, 1246, 630, 1350)(528, 1248, 631, 1351)(531, 1251, 633, 1353)(532, 1252, 635, 1355)(537, 1257, 642, 1362)(539, 1259, 641, 1361)(540, 1260, 646, 1366)(542, 1262, 638, 1358)(543, 1263, 637, 1357)(544, 1264, 647, 1367)(545, 1265, 648, 1368)(546, 1266, 649, 1369)(547, 1267, 650, 1370)(549, 1269, 652, 1372)(551, 1271, 654, 1374)(556, 1276, 658, 1378)(557, 1277, 659, 1379)(559, 1279, 660, 1380)(562, 1282, 662, 1382)(566, 1286, 667, 1387)(568, 1288, 612, 1332)(570, 1290, 672, 1392)(572, 1292, 621, 1341)(573, 1293, 674, 1394)(581, 1301, 682, 1402)(584, 1304, 684, 1404)(585, 1305, 678, 1398)(586, 1306, 679, 1399)(587, 1307, 685, 1405)(589, 1309, 687, 1407)(591, 1311, 688, 1408)(592, 1312, 689, 1409)(594, 1314, 636, 1356)(595, 1315, 690, 1410)(597, 1317, 691, 1411)(601, 1321, 671, 1391)(604, 1324, 694, 1414)(605, 1325, 693, 1413)(606, 1326, 653, 1373)(607, 1327, 640, 1360)(608, 1328, 664, 1384)(609, 1329, 663, 1383)(610, 1330, 655, 1375)(611, 1331, 695, 1415)(613, 1333, 696, 1416)(616, 1336, 673, 1393)(617, 1337, 661, 1381)(618, 1338, 668, 1388)(620, 1340, 670, 1390)(623, 1343, 675, 1395)(624, 1344, 657, 1377)(625, 1345, 701, 1421)(626, 1346, 677, 1397)(627, 1347, 702, 1422)(628, 1348, 703, 1423)(632, 1352, 704, 1424)(634, 1354, 699, 1419)(639, 1359, 676, 1396)(643, 1363, 692, 1412)(644, 1364, 698, 1418)(645, 1365, 700, 1420)(651, 1371, 711, 1431)(656, 1376, 683, 1403)(665, 1385, 686, 1406)(666, 1386, 714, 1434)(669, 1389, 716, 1436)(680, 1400, 713, 1433)(681, 1401, 708, 1428)(697, 1417, 706, 1426)(705, 1425, 717, 1437)(707, 1427, 718, 1438)(709, 1429, 715, 1435)(710, 1430, 719, 1439)(712, 1432, 720, 1440)
	L = (1, 722)(2, 725)(3, 727)(4, 721)(5, 730)(6, 732)(7, 734)(8, 723)(9, 738)(10, 724)(11, 741)(12, 743)(13, 726)(14, 737)(15, 748)(16, 750)(17, 728)(18, 752)(19, 729)(20, 755)(21, 757)(22, 731)(23, 746)(24, 736)(25, 763)(26, 733)(27, 765)(28, 767)(29, 735)(30, 770)(31, 772)(32, 754)(33, 775)(34, 739)(35, 778)(36, 740)(37, 760)(38, 745)(39, 783)(40, 742)(41, 785)(42, 744)(43, 788)(44, 790)(45, 792)(46, 747)(47, 769)(48, 797)(49, 749)(50, 762)(51, 800)(52, 802)(53, 751)(54, 805)(55, 807)(56, 753)(57, 810)(58, 780)(59, 759)(60, 756)(61, 815)(62, 758)(63, 818)(64, 820)(65, 822)(66, 761)(67, 826)(68, 782)(69, 828)(70, 830)(71, 764)(72, 795)(73, 768)(74, 835)(75, 766)(76, 837)(77, 839)(78, 841)(79, 843)(80, 845)(81, 771)(82, 804)(83, 794)(84, 773)(85, 851)(86, 774)(87, 809)(88, 856)(89, 776)(90, 858)(91, 777)(92, 861)(93, 779)(94, 864)(95, 866)(96, 781)(97, 870)(98, 813)(99, 872)(100, 874)(101, 784)(102, 825)(103, 787)(104, 879)(105, 786)(106, 881)(107, 883)(108, 885)(109, 789)(110, 832)(111, 824)(112, 791)(113, 891)(114, 793)(115, 894)(116, 896)(117, 898)(118, 796)(119, 834)(120, 902)(121, 903)(122, 798)(123, 906)(124, 799)(125, 847)(126, 911)(127, 801)(128, 913)(129, 803)(130, 916)(131, 854)(132, 808)(133, 920)(134, 806)(135, 922)(136, 924)(137, 925)(138, 860)(139, 853)(140, 811)(141, 930)(142, 812)(143, 934)(144, 935)(145, 814)(146, 869)(147, 817)(148, 940)(149, 816)(150, 942)(151, 944)(152, 946)(153, 819)(154, 876)(155, 868)(156, 821)(157, 952)(158, 823)(159, 955)(160, 957)(161, 878)(162, 908)(163, 960)(164, 827)(165, 887)(166, 840)(167, 829)(168, 966)(169, 831)(170, 969)(171, 971)(172, 833)(173, 975)(174, 849)(175, 977)(176, 979)(177, 836)(178, 900)(179, 983)(180, 838)(181, 965)(182, 986)(183, 905)(184, 899)(185, 842)(186, 909)(187, 846)(188, 992)(189, 844)(190, 994)(191, 996)(192, 997)(193, 999)(194, 848)(195, 956)(196, 1003)(197, 850)(198, 1006)(199, 852)(200, 1009)(201, 1011)(202, 1013)(203, 855)(204, 919)(205, 1016)(206, 857)(207, 1019)(208, 859)(209, 1021)(210, 933)(211, 863)(212, 1025)(213, 862)(214, 1027)(215, 937)(216, 932)(217, 865)(218, 1031)(219, 867)(220, 1034)(221, 1036)(222, 939)(223, 962)(224, 1039)(225, 871)(226, 948)(227, 882)(228, 873)(229, 1045)(230, 875)(231, 1048)(232, 1050)(233, 877)(234, 1054)(235, 889)(236, 1056)(237, 1057)(238, 880)(239, 1044)(240, 963)(241, 886)(242, 1062)(243, 884)(244, 1064)(245, 1066)(246, 1067)(247, 888)(248, 1035)(249, 1071)(250, 890)(251, 974)(252, 893)(253, 1076)(254, 892)(255, 1078)(256, 1080)(257, 1081)(258, 895)(259, 981)(260, 973)(261, 897)(262, 1086)(263, 1041)(264, 1088)(265, 901)(266, 961)(267, 1093)(268, 904)(269, 1096)(270, 1098)(271, 907)(272, 1040)(273, 1102)(274, 1104)(275, 910)(276, 991)(277, 1107)(278, 912)(279, 1002)(280, 915)(281, 1112)(282, 914)(283, 1005)(284, 1001)(285, 917)(286, 1117)(287, 918)(288, 1121)(289, 928)(290, 1122)(291, 1124)(292, 921)(293, 1015)(294, 943)(295, 923)(296, 1018)(297, 1014)(298, 926)(299, 1131)(300, 927)(301, 1134)(302, 929)(303, 1137)(304, 931)(305, 1140)(306, 1142)(307, 1024)(308, 1144)(309, 936)(310, 1146)(311, 1148)(312, 938)(313, 1152)(314, 950)(315, 1154)(316, 1155)(317, 941)(318, 1128)(319, 1042)(320, 947)(321, 988)(322, 945)(323, 1161)(324, 1163)(325, 1164)(326, 949)(327, 1141)(328, 1168)(329, 951)(330, 1053)(331, 954)(332, 1173)(333, 953)(334, 1175)(335, 976)(336, 1111)(337, 1059)(338, 1052)(339, 958)(340, 959)(341, 1182)(342, 1017)(343, 1185)(344, 1187)(345, 964)(346, 1091)(347, 1070)(348, 968)(349, 1193)(350, 967)(351, 1073)(352, 1069)(353, 970)(354, 1198)(355, 972)(356, 1160)(357, 1195)(358, 1075)(359, 1090)(360, 1203)(361, 1082)(362, 978)(363, 1205)(364, 980)(365, 1191)(366, 1208)(367, 982)(368, 1211)(369, 984)(370, 1214)(371, 985)(372, 1216)(373, 1169)(374, 987)(375, 1200)(376, 1156)(377, 989)(378, 1221)(379, 990)(380, 1225)(381, 1226)(382, 1228)(383, 993)(384, 1106)(385, 1079)(386, 995)(387, 1109)(388, 1105)(389, 998)(390, 1235)(391, 1000)(392, 1159)(393, 1239)(394, 1241)(395, 1004)(396, 1243)(397, 1120)(398, 1008)(399, 1186)(400, 1007)(401, 1246)(402, 1248)(403, 1010)(404, 1126)(405, 1119)(406, 1012)(407, 1250)(408, 1252)(409, 1196)(410, 1178)(411, 1133)(412, 1183)(413, 1020)(414, 1136)(415, 1132)(416, 1022)(417, 1257)(418, 1023)(419, 1260)(420, 1029)(421, 1261)(422, 1262)(423, 1026)(424, 1264)(425, 1028)(426, 1266)(427, 1030)(428, 1151)(429, 1033)(430, 1097)(431, 1032)(432, 1271)(433, 1055)(434, 1192)(435, 1157)(436, 1150)(437, 1037)(438, 1038)(439, 1115)(440, 1084)(441, 1277)(442, 1043)(443, 1181)(444, 1167)(445, 1047)(446, 1094)(447, 1046)(448, 1170)(449, 1166)(450, 1049)(451, 1286)(452, 1051)(453, 1130)(454, 1284)(455, 1172)(456, 1180)(457, 1290)(458, 1058)(459, 1281)(460, 1293)(461, 1060)(462, 1135)(463, 1061)(464, 1296)(465, 1125)(466, 1063)(467, 1189)(468, 1176)(469, 1065)(470, 1188)(471, 1301)(472, 1068)(473, 1129)(474, 1083)(475, 1305)(476, 1072)(477, 1074)(478, 1307)(479, 1309)(480, 1310)(481, 1077)(482, 1232)(483, 1153)(484, 1313)(485, 1315)(486, 1238)(487, 1085)(488, 1210)(489, 1247)(490, 1087)(491, 1213)(492, 1209)(493, 1089)(494, 1108)(495, 1324)(496, 1326)(497, 1092)(498, 1095)(499, 1329)(500, 1219)(501, 1224)(502, 1100)(503, 1325)(504, 1099)(505, 1332)(506, 1333)(507, 1101)(508, 1230)(509, 1223)(510, 1103)(511, 1335)(512, 1337)(513, 1330)(514, 1321)(515, 1338)(516, 1110)(517, 1341)(518, 1342)(519, 1343)(520, 1113)(521, 1345)(522, 1114)(523, 1347)(524, 1116)(525, 1118)(526, 1245)(527, 1234)(528, 1249)(529, 1123)(530, 1352)(531, 1127)(532, 1276)(533, 1356)(534, 1358)(535, 1360)(536, 1362)(537, 1259)(538, 1139)(539, 1138)(540, 1365)(541, 1282)(542, 1263)(543, 1143)(544, 1265)(545, 1145)(546, 1267)(547, 1147)(548, 1371)(549, 1149)(550, 1369)(551, 1269)(552, 1275)(553, 1375)(554, 1367)(555, 1377)(556, 1158)(557, 1279)(558, 1272)(559, 1162)(560, 1278)(561, 1381)(562, 1165)(563, 1177)(564, 1384)(565, 1171)(566, 1386)(567, 1388)(568, 1174)(569, 1300)(570, 1391)(571, 1303)(572, 1179)(573, 1190)(574, 1395)(575, 1396)(576, 1397)(577, 1184)(578, 1295)(579, 1399)(580, 1401)(581, 1317)(582, 1403)(583, 1404)(584, 1194)(585, 1311)(586, 1197)(587, 1306)(588, 1199)(589, 1379)(590, 1328)(591, 1201)(592, 1202)(593, 1374)(594, 1204)(595, 1304)(596, 1206)(597, 1207)(598, 1412)(599, 1402)(600, 1392)(601, 1212)(602, 1410)(603, 1413)(604, 1229)(605, 1215)(606, 1327)(607, 1217)(608, 1218)(609, 1233)(610, 1220)(611, 1222)(612, 1331)(613, 1334)(614, 1227)(615, 1417)(616, 1231)(617, 1382)(618, 1340)(619, 1237)(620, 1236)(621, 1420)(622, 1378)(623, 1344)(624, 1240)(625, 1346)(626, 1242)(627, 1348)(628, 1244)(629, 1400)(630, 1319)(631, 1390)(632, 1354)(633, 1366)(634, 1251)(635, 1353)(636, 1407)(637, 1253)(638, 1414)(639, 1254)(640, 1425)(641, 1255)(642, 1426)(643, 1256)(644, 1258)(645, 1364)(646, 1322)(647, 1428)(648, 1273)(649, 1415)(650, 1268)(651, 1430)(652, 1411)(653, 1270)(654, 1380)(655, 1323)(656, 1274)(657, 1280)(658, 1316)(659, 1406)(660, 1314)(661, 1393)(662, 1312)(663, 1283)(664, 1389)(665, 1285)(666, 1385)(667, 1287)(668, 1424)(669, 1288)(670, 1289)(671, 1383)(672, 1291)(673, 1292)(674, 1359)(675, 1298)(676, 1294)(677, 1398)(678, 1297)(679, 1422)(680, 1299)(681, 1351)(682, 1302)(683, 1350)(684, 1320)(685, 1434)(686, 1308)(687, 1409)(688, 1421)(689, 1357)(690, 1355)(691, 1318)(692, 1431)(693, 1368)(694, 1394)(695, 1432)(696, 1361)(697, 1418)(698, 1336)(699, 1339)(700, 1419)(701, 1437)(702, 1349)(703, 1405)(704, 1435)(705, 1416)(706, 1427)(707, 1363)(708, 1433)(709, 1370)(710, 1429)(711, 1372)(712, 1373)(713, 1376)(714, 1439)(715, 1387)(716, 1408)(717, 1440)(718, 1423)(719, 1438)(720, 1436)
	local type(s) :: { ( 4, 5, 4, 5 ) }
Outer automorphisms :: reflexible
Dual of E19.2432
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 360 e = 720 f = 324
	degree seq :: [ 4^360 ]

E19.2437 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = C2 x A6 (small group id <720, 766>)
Aut   = $<1440, 5843>$ (small group id <1440, 5843>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^5, (Y3 * Y2^-1)^5, (Y2 * Y1 * Y2^-1 * Y1)^4, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 721, 2, 722)(3, 723, 7, 727)(4, 724, 9, 729)(5, 725, 10, 730)(6, 726, 12, 732)(8, 728, 15, 735)(11, 731, 20, 740)(13, 733, 23, 743)(14, 734, 25, 745)(16, 736, 28, 748)(17, 737, 30, 750)(18, 738, 31, 751)(19, 739, 33, 753)(21, 741, 36, 756)(22, 742, 38, 758)(24, 744, 40, 760)(26, 746, 43, 763)(27, 747, 45, 765)(29, 749, 48, 768)(32, 752, 51, 771)(34, 754, 54, 774)(35, 755, 56, 776)(37, 757, 59, 779)(39, 759, 61, 781)(41, 761, 64, 784)(42, 762, 66, 786)(44, 764, 68, 788)(46, 766, 70, 790)(47, 767, 72, 792)(49, 769, 75, 795)(50, 770, 76, 796)(52, 772, 79, 799)(53, 773, 81, 801)(55, 775, 83, 803)(57, 777, 85, 805)(58, 778, 87, 807)(60, 780, 90, 810)(62, 782, 93, 813)(63, 783, 95, 815)(65, 785, 98, 818)(67, 787, 100, 820)(69, 789, 103, 823)(71, 791, 105, 825)(73, 793, 108, 828)(74, 794, 110, 830)(77, 797, 115, 835)(78, 798, 117, 837)(80, 800, 120, 840)(82, 802, 122, 842)(84, 804, 125, 845)(86, 806, 127, 847)(88, 808, 130, 850)(89, 809, 132, 852)(91, 811, 135, 855)(92, 812, 137, 857)(94, 814, 139, 859)(96, 816, 141, 861)(97, 817, 119, 839)(99, 819, 145, 865)(101, 821, 148, 868)(102, 822, 150, 870)(104, 824, 153, 873)(106, 826, 128, 848)(107, 827, 157, 877)(109, 829, 159, 879)(111, 831, 161, 881)(112, 832, 163, 883)(113, 833, 164, 884)(114, 834, 166, 886)(116, 836, 168, 888)(118, 838, 170, 890)(121, 841, 174, 894)(123, 843, 177, 897)(124, 844, 179, 899)(126, 846, 182, 902)(129, 849, 186, 906)(131, 851, 188, 908)(133, 853, 190, 910)(134, 854, 192, 912)(136, 856, 195, 915)(138, 858, 197, 917)(140, 860, 200, 920)(142, 862, 202, 922)(143, 863, 203, 923)(144, 864, 205, 925)(146, 866, 208, 928)(147, 867, 210, 930)(149, 869, 212, 932)(151, 871, 214, 934)(152, 872, 194, 914)(154, 874, 218, 938)(155, 875, 220, 940)(156, 876, 221, 941)(158, 878, 223, 943)(160, 880, 226, 946)(162, 882, 228, 948)(165, 885, 232, 952)(167, 887, 234, 954)(169, 889, 237, 957)(171, 891, 239, 959)(172, 892, 240, 960)(173, 893, 242, 962)(175, 895, 245, 965)(176, 896, 247, 967)(178, 898, 249, 969)(180, 900, 251, 971)(181, 901, 231, 951)(183, 903, 255, 975)(184, 904, 257, 977)(185, 905, 258, 978)(187, 907, 260, 980)(189, 909, 263, 983)(191, 911, 265, 985)(193, 913, 266, 986)(196, 916, 270, 990)(198, 918, 273, 993)(199, 919, 275, 995)(201, 921, 277, 997)(204, 924, 280, 1000)(206, 926, 282, 1002)(207, 927, 284, 1004)(209, 929, 286, 1006)(211, 931, 288, 1008)(213, 933, 291, 1011)(215, 935, 293, 1013)(216, 936, 294, 1014)(217, 937, 296, 1016)(219, 939, 298, 1018)(222, 942, 301, 1021)(224, 944, 303, 1023)(225, 945, 305, 1025)(227, 947, 308, 1028)(229, 949, 230, 950)(233, 953, 314, 1034)(235, 955, 317, 1037)(236, 956, 319, 1039)(238, 958, 321, 1041)(241, 961, 324, 1044)(243, 963, 326, 1046)(244, 964, 328, 1048)(246, 966, 330, 1050)(248, 968, 332, 1052)(250, 970, 335, 1055)(252, 972, 337, 1057)(253, 973, 338, 1058)(254, 974, 340, 1060)(256, 976, 342, 1062)(259, 979, 345, 1065)(261, 981, 347, 1067)(262, 982, 349, 1069)(264, 984, 352, 1072)(267, 987, 355, 1075)(268, 988, 356, 1076)(269, 989, 358, 1078)(271, 991, 361, 1081)(272, 992, 363, 1083)(274, 994, 365, 1085)(276, 996, 367, 1087)(278, 998, 370, 1090)(279, 999, 371, 1091)(281, 1001, 374, 1094)(283, 1003, 376, 1096)(285, 1005, 377, 1097)(287, 1007, 380, 1100)(289, 1009, 383, 1103)(290, 1010, 385, 1105)(292, 1012, 387, 1107)(295, 1015, 390, 1110)(297, 1017, 392, 1112)(299, 1019, 381, 1101)(300, 1020, 395, 1115)(302, 1022, 398, 1118)(304, 1024, 400, 1120)(306, 1026, 402, 1122)(307, 1027, 389, 1109)(309, 1029, 406, 1126)(310, 1030, 378, 1098)(311, 1031, 408, 1128)(312, 1032, 409, 1129)(313, 1033, 411, 1131)(315, 1035, 414, 1134)(316, 1036, 416, 1136)(318, 1038, 418, 1138)(320, 1040, 420, 1140)(322, 1042, 423, 1143)(323, 1043, 424, 1144)(325, 1045, 427, 1147)(327, 1047, 429, 1149)(329, 1049, 430, 1150)(331, 1051, 433, 1153)(333, 1053, 436, 1156)(334, 1054, 438, 1158)(336, 1056, 440, 1160)(339, 1059, 443, 1163)(341, 1061, 445, 1165)(343, 1063, 434, 1154)(344, 1064, 448, 1168)(346, 1066, 451, 1171)(348, 1068, 453, 1173)(350, 1070, 455, 1175)(351, 1071, 442, 1162)(353, 1073, 459, 1179)(354, 1074, 431, 1151)(357, 1077, 463, 1183)(359, 1079, 465, 1185)(360, 1080, 467, 1187)(362, 1082, 469, 1189)(364, 1084, 426, 1146)(366, 1086, 473, 1193)(368, 1088, 450, 1170)(369, 1089, 476, 1196)(372, 1092, 479, 1199)(373, 1093, 417, 1137)(375, 1095, 483, 1203)(379, 1099, 487, 1207)(382, 1102, 491, 1211)(384, 1104, 493, 1213)(386, 1106, 495, 1215)(388, 1108, 498, 1218)(391, 1111, 501, 1221)(393, 1113, 454, 1174)(394, 1114, 505, 1225)(396, 1116, 507, 1227)(397, 1117, 421, 1141)(399, 1119, 510, 1230)(401, 1121, 446, 1166)(403, 1123, 514, 1234)(404, 1124, 515, 1235)(405, 1125, 517, 1237)(407, 1127, 519, 1239)(410, 1130, 522, 1242)(412, 1132, 524, 1244)(413, 1133, 526, 1246)(415, 1135, 528, 1248)(419, 1139, 532, 1252)(422, 1142, 535, 1255)(425, 1145, 538, 1258)(428, 1148, 542, 1262)(432, 1152, 546, 1266)(435, 1155, 550, 1270)(437, 1157, 552, 1272)(439, 1159, 554, 1274)(441, 1161, 557, 1277)(444, 1164, 560, 1280)(447, 1167, 564, 1284)(449, 1169, 566, 1286)(452, 1172, 569, 1289)(456, 1176, 573, 1293)(457, 1177, 574, 1294)(458, 1178, 576, 1296)(460, 1180, 578, 1298)(461, 1181, 579, 1299)(462, 1182, 580, 1300)(464, 1184, 543, 1263)(466, 1186, 584, 1304)(468, 1188, 585, 1305)(470, 1190, 540, 1260)(471, 1191, 588, 1308)(472, 1192, 590, 1310)(474, 1194, 592, 1312)(475, 1195, 561, 1281)(477, 1197, 555, 1275)(478, 1198, 594, 1314)(480, 1200, 596, 1316)(481, 1201, 529, 1249)(482, 1202, 567, 1287)(484, 1204, 523, 1243)(485, 1205, 586, 1306)(486, 1206, 601, 1321)(488, 1208, 603, 1323)(489, 1209, 565, 1285)(490, 1210, 605, 1325)(492, 1212, 582, 1302)(494, 1214, 609, 1329)(496, 1216, 536, 1256)(497, 1217, 612, 1332)(499, 1219, 614, 1334)(500, 1220, 577, 1297)(502, 1222, 534, 1254)(503, 1223, 572, 1292)(504, 1224, 619, 1339)(506, 1226, 548, 1268)(508, 1228, 541, 1261)(509, 1229, 622, 1342)(511, 1231, 624, 1344)(512, 1232, 626, 1346)(513, 1233, 562, 1282)(516, 1236, 628, 1348)(518, 1238, 559, 1279)(520, 1240, 631, 1351)(521, 1241, 632, 1352)(525, 1245, 636, 1356)(527, 1247, 637, 1357)(530, 1250, 640, 1360)(531, 1251, 642, 1362)(533, 1253, 644, 1364)(537, 1257, 646, 1366)(539, 1259, 648, 1368)(544, 1264, 638, 1358)(545, 1265, 653, 1373)(547, 1267, 655, 1375)(549, 1269, 657, 1377)(551, 1271, 634, 1354)(553, 1273, 661, 1381)(556, 1276, 664, 1384)(558, 1278, 666, 1386)(563, 1283, 671, 1391)(568, 1288, 674, 1394)(570, 1290, 676, 1396)(571, 1291, 678, 1398)(575, 1295, 680, 1400)(581, 1301, 643, 1363)(583, 1303, 651, 1371)(587, 1307, 687, 1407)(589, 1309, 659, 1379)(591, 1311, 633, 1353)(593, 1313, 669, 1389)(595, 1315, 672, 1392)(597, 1317, 691, 1411)(598, 1318, 673, 1393)(599, 1319, 635, 1355)(600, 1320, 658, 1378)(602, 1322, 684, 1404)(604, 1324, 656, 1376)(606, 1326, 652, 1372)(607, 1327, 641, 1361)(608, 1328, 677, 1397)(610, 1330, 667, 1387)(611, 1331, 663, 1383)(613, 1333, 688, 1408)(615, 1335, 662, 1382)(616, 1336, 681, 1401)(617, 1337, 645, 1365)(618, 1338, 700, 1420)(620, 1340, 647, 1367)(621, 1341, 650, 1370)(623, 1343, 682, 1402)(625, 1345, 660, 1380)(627, 1347, 701, 1421)(629, 1349, 668, 1388)(630, 1350, 675, 1395)(639, 1359, 706, 1426)(649, 1369, 710, 1430)(654, 1374, 703, 1423)(665, 1385, 707, 1427)(670, 1390, 719, 1439)(679, 1399, 720, 1440)(683, 1403, 702, 1422)(685, 1405, 708, 1428)(686, 1406, 714, 1434)(689, 1409, 704, 1424)(690, 1410, 717, 1437)(692, 1412, 713, 1433)(693, 1413, 712, 1432)(694, 1414, 711, 1431)(695, 1415, 705, 1425)(696, 1416, 715, 1435)(697, 1417, 718, 1438)(698, 1418, 709, 1429)(699, 1419, 716, 1436)(1441, 2161, 1443, 2163, 1448, 2168, 1444, 2164)(1442, 2162, 1445, 2165, 1451, 2171, 1446, 2166)(1447, 2167, 1453, 2173, 1464, 2184, 1454, 2174)(1449, 2169, 1456, 2176, 1469, 2189, 1457, 2177)(1450, 2170, 1458, 2178, 1472, 2192, 1459, 2179)(1452, 2172, 1461, 2181, 1477, 2197, 1462, 2182)(1455, 2175, 1466, 2186, 1484, 2204, 1467, 2187)(1460, 2180, 1474, 2194, 1495, 2215, 1475, 2195)(1463, 2183, 1478, 2198, 1500, 2220, 1479, 2199)(1465, 2185, 1481, 2201, 1505, 2225, 1482, 2202)(1468, 2188, 1486, 2206, 1511, 2231, 1487, 2207)(1470, 2190, 1489, 2209, 1490, 2210, 1471, 2191)(1473, 2193, 1492, 2212, 1520, 2240, 1493, 2213)(1476, 2196, 1497, 2217, 1526, 2246, 1498, 2218)(1480, 2200, 1502, 2222, 1534, 2254, 1503, 2223)(1483, 2203, 1506, 2226, 1539, 2259, 1507, 2227)(1485, 2205, 1509, 2229, 1544, 2264, 1510, 2230)(1488, 2208, 1513, 2233, 1549, 2269, 1514, 2234)(1491, 2211, 1517, 2237, 1556, 2276, 1518, 2238)(1494, 2214, 1521, 2241, 1561, 2281, 1522, 2242)(1496, 2216, 1524, 2244, 1566, 2286, 1525, 2245)(1499, 2219, 1528, 2248, 1571, 2291, 1529, 2249)(1501, 2221, 1531, 2251, 1576, 2296, 1532, 2252)(1504, 2224, 1536, 2256, 1582, 2302, 1537, 2257)(1508, 2228, 1541, 2261, 1589, 2309, 1542, 2262)(1512, 2232, 1546, 2266, 1596, 2316, 1547, 2267)(1515, 2235, 1551, 2271, 1602, 2322, 1552, 2272)(1516, 2236, 1553, 2273, 1605, 2325, 1554, 2274)(1519, 2239, 1558, 2278, 1611, 2331, 1559, 2279)(1523, 2243, 1563, 2283, 1618, 2338, 1564, 2284)(1527, 2247, 1568, 2288, 1625, 2345, 1569, 2289)(1530, 2250, 1573, 2293, 1631, 2351, 1574, 2294)(1533, 2253, 1577, 2297, 1636, 2356, 1578, 2298)(1535, 2255, 1580, 2300, 1641, 2361, 1581, 2301)(1538, 2258, 1583, 2303, 1644, 2364, 1584, 2304)(1540, 2260, 1586, 2306, 1649, 2369, 1587, 2307)(1543, 2263, 1591, 2311, 1655, 2375, 1592, 2312)(1545, 2265, 1594, 2314, 1659, 2379, 1595, 2315)(1548, 2268, 1597, 2317, 1662, 2382, 1598, 2318)(1550, 2270, 1600, 2320, 1667, 2387, 1601, 2321)(1555, 2275, 1606, 2326, 1673, 2393, 1607, 2327)(1557, 2277, 1609, 2329, 1678, 2398, 1610, 2330)(1560, 2280, 1612, 2332, 1681, 2401, 1613, 2333)(1562, 2282, 1615, 2335, 1686, 2406, 1616, 2336)(1565, 2285, 1620, 2340, 1692, 2412, 1621, 2341)(1567, 2287, 1623, 2343, 1696, 2416, 1624, 2344)(1570, 2290, 1626, 2346, 1699, 2419, 1627, 2347)(1572, 2292, 1629, 2349, 1704, 2424, 1630, 2350)(1575, 2295, 1633, 2353, 1707, 2427, 1634, 2354)(1579, 2299, 1638, 2358, 1714, 2434, 1639, 2359)(1585, 2305, 1646, 2366, 1723, 2443, 1647, 2367)(1588, 2308, 1650, 2370, 1727, 2447, 1651, 2371)(1590, 2310, 1653, 2373, 1732, 2452, 1654, 2374)(1593, 2313, 1656, 2376, 1735, 2455, 1657, 2377)(1599, 2319, 1664, 2384, 1744, 2464, 1665, 2385)(1603, 2323, 1648, 2368, 1725, 2445, 1669, 2389)(1604, 2324, 1670, 2390, 1751, 2471, 1671, 2391)(1608, 2328, 1675, 2395, 1758, 2478, 1676, 2396)(1614, 2334, 1683, 2403, 1767, 2487, 1684, 2404)(1617, 2337, 1687, 2407, 1771, 2491, 1688, 2408)(1619, 2339, 1690, 2410, 1776, 2496, 1691, 2411)(1622, 2342, 1693, 2413, 1779, 2499, 1694, 2414)(1628, 2348, 1701, 2421, 1788, 2508, 1702, 2422)(1632, 2352, 1685, 2405, 1769, 2489, 1706, 2426)(1635, 2355, 1708, 2428, 1797, 2517, 1709, 2429)(1637, 2357, 1711, 2431, 1802, 2522, 1712, 2432)(1640, 2360, 1716, 2436, 1786, 2506, 1700, 2420)(1642, 2362, 1718, 2438, 1763, 2483, 1680, 2400)(1643, 2363, 1679, 2399, 1762, 2482, 1719, 2439)(1645, 2365, 1721, 2441, 1815, 2535, 1722, 2442)(1652, 2372, 1729, 2449, 1824, 2544, 1730, 2450)(1658, 2378, 1736, 2456, 1831, 2551, 1737, 2457)(1660, 2380, 1739, 2459, 1784, 2504, 1698, 2418)(1661, 2381, 1697, 2417, 1783, 2503, 1740, 2460)(1663, 2383, 1677, 2397, 1760, 2480, 1742, 2462)(1666, 2386, 1746, 2466, 1843, 2563, 1747, 2467)(1668, 2388, 1749, 2469, 1847, 2567, 1750, 2470)(1672, 2392, 1752, 2472, 1850, 2570, 1753, 2473)(1674, 2394, 1755, 2475, 1855, 2575, 1756, 2476)(1682, 2402, 1765, 2485, 1868, 2588, 1766, 2486)(1689, 2409, 1773, 2493, 1877, 2597, 1774, 2494)(1695, 2415, 1780, 2500, 1884, 2604, 1781, 2501)(1703, 2423, 1790, 2510, 1896, 2616, 1791, 2511)(1705, 2425, 1793, 2513, 1900, 2620, 1794, 2514)(1710, 2430, 1799, 2519, 1906, 2626, 1800, 2520)(1713, 2433, 1803, 2523, 1910, 2630, 1804, 2524)(1715, 2435, 1806, 2526, 1914, 2634, 1807, 2527)(1717, 2437, 1808, 2528, 1915, 2635, 1809, 2529)(1720, 2440, 1812, 2532, 1920, 2640, 1813, 2533)(1724, 2444, 1801, 2521, 1908, 2628, 1817, 2537)(1726, 2446, 1818, 2538, 1926, 2646, 1819, 2539)(1728, 2448, 1821, 2541, 1930, 2650, 1822, 2542)(1731, 2451, 1826, 2546, 1918, 2638, 1811, 2531)(1733, 2453, 1828, 2548, 1902, 2622, 1796, 2516)(1734, 2454, 1795, 2515, 1901, 2621, 1829, 2549)(1738, 2458, 1833, 2553, 1944, 2664, 1834, 2554)(1741, 2461, 1836, 2556, 1948, 2668, 1837, 2557)(1743, 2463, 1838, 2558, 1949, 2669, 1839, 2559)(1745, 2465, 1841, 2561, 1953, 2673, 1842, 2562)(1748, 2468, 1844, 2564, 1956, 2676, 1845, 2565)(1754, 2474, 1852, 2572, 1965, 2685, 1853, 2573)(1757, 2477, 1856, 2576, 1969, 2689, 1857, 2577)(1759, 2479, 1859, 2579, 1973, 2693, 1860, 2580)(1761, 2481, 1861, 2581, 1974, 2694, 1862, 2582)(1764, 2484, 1865, 2585, 1979, 2699, 1866, 2586)(1768, 2488, 1854, 2574, 1967, 2687, 1870, 2590)(1770, 2490, 1871, 2591, 1985, 2705, 1872, 2592)(1772, 2492, 1874, 2594, 1989, 2709, 1875, 2595)(1775, 2495, 1879, 2599, 1977, 2697, 1864, 2584)(1777, 2497, 1881, 2601, 1961, 2681, 1849, 2569)(1778, 2498, 1848, 2568, 1960, 2680, 1882, 2602)(1782, 2502, 1886, 2606, 2003, 2723, 1887, 2607)(1785, 2505, 1889, 2609, 2007, 2727, 1890, 2610)(1787, 2507, 1891, 2611, 2008, 2728, 1892, 2612)(1789, 2509, 1894, 2614, 2012, 2732, 1895, 2615)(1792, 2512, 1897, 2617, 2015, 2735, 1898, 2618)(1798, 2518, 1904, 2624, 2023, 2743, 1905, 2625)(1805, 2525, 1911, 2631, 2029, 2749, 1912, 2632)(1810, 2530, 1916, 2636, 2033, 2753, 1917, 2637)(1814, 2534, 1921, 2641, 2037, 2757, 1922, 2642)(1816, 2536, 1924, 2644, 2040, 2760, 1925, 2645)(1820, 2540, 1928, 2648, 2044, 2764, 1929, 2649)(1823, 2543, 1931, 2651, 2046, 2766, 1932, 2652)(1825, 2545, 1934, 2654, 2050, 2770, 1935, 2655)(1827, 2547, 1936, 2656, 2051, 2771, 1937, 2657)(1830, 2550, 1939, 2659, 2055, 2775, 1940, 2660)(1832, 2552, 1942, 2662, 2058, 2778, 1943, 2663)(1835, 2555, 1946, 2666, 2061, 2781, 1947, 2667)(1840, 2560, 1951, 2671, 2065, 2785, 1952, 2672)(1846, 2566, 1957, 2677, 2069, 2789, 1958, 2678)(1851, 2571, 1963, 2683, 2075, 2795, 1964, 2684)(1858, 2578, 1970, 2690, 2081, 2801, 1971, 2691)(1863, 2583, 1975, 2695, 2085, 2805, 1976, 2696)(1867, 2587, 1980, 2700, 2089, 2809, 1981, 2701)(1869, 2589, 1983, 2703, 2092, 2812, 1984, 2704)(1873, 2593, 1987, 2707, 2096, 2816, 1988, 2708)(1876, 2596, 1990, 2710, 2098, 2818, 1991, 2711)(1878, 2598, 1993, 2713, 2102, 2822, 1994, 2714)(1880, 2600, 1995, 2715, 2103, 2823, 1996, 2716)(1883, 2603, 1998, 2718, 2107, 2827, 1999, 2719)(1885, 2605, 2001, 2721, 2110, 2830, 2002, 2722)(1888, 2608, 2005, 2725, 2113, 2833, 2006, 2726)(1893, 2613, 2010, 2730, 2117, 2837, 2011, 2731)(1899, 2619, 2016, 2736, 2121, 2841, 2017, 2737)(1903, 2623, 2021, 2741, 2082, 2802, 2022, 2742)(1907, 2627, 2014, 2734, 2071, 2791, 2025, 2745)(1909, 2629, 2026, 2746, 2126, 2846, 2027, 2747)(1913, 2633, 2031, 2751, 2123, 2843, 2020, 2740)(1919, 2639, 2034, 2754, 2130, 2850, 2035, 2755)(1923, 2643, 2038, 2758, 2132, 2852, 2039, 2759)(1927, 2647, 2042, 2762, 2134, 2854, 2043, 2763)(1933, 2653, 2047, 2767, 2136, 2856, 2048, 2768)(1938, 2658, 2052, 2772, 2137, 2857, 2053, 2773)(1941, 2661, 2056, 2776, 2139, 2859, 2057, 2777)(1945, 2665, 2060, 2780, 2135, 2855, 2045, 2765)(1950, 2670, 2041, 2761, 2133, 2853, 2063, 2783)(1954, 2674, 2067, 2787, 2138, 2858, 2054, 2774)(1955, 2675, 2019, 2739, 2077, 2797, 1966, 2686)(1959, 2679, 2049, 2769, 2116, 2836, 2070, 2790)(1962, 2682, 2073, 2793, 2030, 2750, 2074, 2794)(1968, 2688, 2078, 2798, 2145, 2865, 2079, 2799)(1972, 2692, 2083, 2803, 2142, 2862, 2072, 2792)(1978, 2698, 2086, 2806, 2149, 2869, 2087, 2807)(1982, 2702, 2090, 2810, 2151, 2871, 2091, 2811)(1986, 2706, 2094, 2814, 2153, 2873, 2095, 2815)(1992, 2712, 2099, 2819, 2155, 2875, 2100, 2820)(1997, 2717, 2104, 2824, 2156, 2876, 2105, 2825)(2000, 2720, 2108, 2828, 2158, 2878, 2109, 2829)(2004, 2724, 2112, 2832, 2154, 2874, 2097, 2817)(2009, 2729, 2093, 2813, 2152, 2872, 2115, 2835)(2013, 2733, 2119, 2839, 2157, 2877, 2106, 2826)(2018, 2738, 2101, 2821, 2064, 2784, 2122, 2842)(2024, 2744, 2124, 2844, 2062, 2782, 2125, 2845)(2028, 2748, 2088, 2808, 2059, 2779, 2118, 2838)(2032, 2752, 2128, 2848, 2068, 2788, 2129, 2849)(2036, 2756, 2111, 2831, 2066, 2786, 2080, 2800)(2076, 2796, 2143, 2863, 2114, 2834, 2144, 2864)(2084, 2804, 2147, 2867, 2120, 2840, 2148, 2868)(2127, 2847, 2160, 2880, 2140, 2860, 2150, 2870)(2131, 2851, 2146, 2866, 2141, 2861, 2159, 2879)
	L = (1, 1442)(2, 1441)(3, 1447)(4, 1449)(5, 1450)(6, 1452)(7, 1443)(8, 1455)(9, 1444)(10, 1445)(11, 1460)(12, 1446)(13, 1463)(14, 1465)(15, 1448)(16, 1468)(17, 1470)(18, 1471)(19, 1473)(20, 1451)(21, 1476)(22, 1478)(23, 1453)(24, 1480)(25, 1454)(26, 1483)(27, 1485)(28, 1456)(29, 1488)(30, 1457)(31, 1458)(32, 1491)(33, 1459)(34, 1494)(35, 1496)(36, 1461)(37, 1499)(38, 1462)(39, 1501)(40, 1464)(41, 1504)(42, 1506)(43, 1466)(44, 1508)(45, 1467)(46, 1510)(47, 1512)(48, 1469)(49, 1515)(50, 1516)(51, 1472)(52, 1519)(53, 1521)(54, 1474)(55, 1523)(56, 1475)(57, 1525)(58, 1527)(59, 1477)(60, 1530)(61, 1479)(62, 1533)(63, 1535)(64, 1481)(65, 1538)(66, 1482)(67, 1540)(68, 1484)(69, 1543)(70, 1486)(71, 1545)(72, 1487)(73, 1548)(74, 1550)(75, 1489)(76, 1490)(77, 1555)(78, 1557)(79, 1492)(80, 1560)(81, 1493)(82, 1562)(83, 1495)(84, 1565)(85, 1497)(86, 1567)(87, 1498)(88, 1570)(89, 1572)(90, 1500)(91, 1575)(92, 1577)(93, 1502)(94, 1579)(95, 1503)(96, 1581)(97, 1559)(98, 1505)(99, 1585)(100, 1507)(101, 1588)(102, 1590)(103, 1509)(104, 1593)(105, 1511)(106, 1568)(107, 1597)(108, 1513)(109, 1599)(110, 1514)(111, 1601)(112, 1603)(113, 1604)(114, 1606)(115, 1517)(116, 1608)(117, 1518)(118, 1610)(119, 1537)(120, 1520)(121, 1614)(122, 1522)(123, 1617)(124, 1619)(125, 1524)(126, 1622)(127, 1526)(128, 1546)(129, 1626)(130, 1528)(131, 1628)(132, 1529)(133, 1630)(134, 1632)(135, 1531)(136, 1635)(137, 1532)(138, 1637)(139, 1534)(140, 1640)(141, 1536)(142, 1642)(143, 1643)(144, 1645)(145, 1539)(146, 1648)(147, 1650)(148, 1541)(149, 1652)(150, 1542)(151, 1654)(152, 1634)(153, 1544)(154, 1658)(155, 1660)(156, 1661)(157, 1547)(158, 1663)(159, 1549)(160, 1666)(161, 1551)(162, 1668)(163, 1552)(164, 1553)(165, 1672)(166, 1554)(167, 1674)(168, 1556)(169, 1677)(170, 1558)(171, 1679)(172, 1680)(173, 1682)(174, 1561)(175, 1685)(176, 1687)(177, 1563)(178, 1689)(179, 1564)(180, 1691)(181, 1671)(182, 1566)(183, 1695)(184, 1697)(185, 1698)(186, 1569)(187, 1700)(188, 1571)(189, 1703)(190, 1573)(191, 1705)(192, 1574)(193, 1706)(194, 1592)(195, 1576)(196, 1710)(197, 1578)(198, 1713)(199, 1715)(200, 1580)(201, 1717)(202, 1582)(203, 1583)(204, 1720)(205, 1584)(206, 1722)(207, 1724)(208, 1586)(209, 1726)(210, 1587)(211, 1728)(212, 1589)(213, 1731)(214, 1591)(215, 1733)(216, 1734)(217, 1736)(218, 1594)(219, 1738)(220, 1595)(221, 1596)(222, 1741)(223, 1598)(224, 1743)(225, 1745)(226, 1600)(227, 1748)(228, 1602)(229, 1670)(230, 1669)(231, 1621)(232, 1605)(233, 1754)(234, 1607)(235, 1757)(236, 1759)(237, 1609)(238, 1761)(239, 1611)(240, 1612)(241, 1764)(242, 1613)(243, 1766)(244, 1768)(245, 1615)(246, 1770)(247, 1616)(248, 1772)(249, 1618)(250, 1775)(251, 1620)(252, 1777)(253, 1778)(254, 1780)(255, 1623)(256, 1782)(257, 1624)(258, 1625)(259, 1785)(260, 1627)(261, 1787)(262, 1789)(263, 1629)(264, 1792)(265, 1631)(266, 1633)(267, 1795)(268, 1796)(269, 1798)(270, 1636)(271, 1801)(272, 1803)(273, 1638)(274, 1805)(275, 1639)(276, 1807)(277, 1641)(278, 1810)(279, 1811)(280, 1644)(281, 1814)(282, 1646)(283, 1816)(284, 1647)(285, 1817)(286, 1649)(287, 1820)(288, 1651)(289, 1823)(290, 1825)(291, 1653)(292, 1827)(293, 1655)(294, 1656)(295, 1830)(296, 1657)(297, 1832)(298, 1659)(299, 1821)(300, 1835)(301, 1662)(302, 1838)(303, 1664)(304, 1840)(305, 1665)(306, 1842)(307, 1829)(308, 1667)(309, 1846)(310, 1818)(311, 1848)(312, 1849)(313, 1851)(314, 1673)(315, 1854)(316, 1856)(317, 1675)(318, 1858)(319, 1676)(320, 1860)(321, 1678)(322, 1863)(323, 1864)(324, 1681)(325, 1867)(326, 1683)(327, 1869)(328, 1684)(329, 1870)(330, 1686)(331, 1873)(332, 1688)(333, 1876)(334, 1878)(335, 1690)(336, 1880)(337, 1692)(338, 1693)(339, 1883)(340, 1694)(341, 1885)(342, 1696)(343, 1874)(344, 1888)(345, 1699)(346, 1891)(347, 1701)(348, 1893)(349, 1702)(350, 1895)(351, 1882)(352, 1704)(353, 1899)(354, 1871)(355, 1707)(356, 1708)(357, 1903)(358, 1709)(359, 1905)(360, 1907)(361, 1711)(362, 1909)(363, 1712)(364, 1866)(365, 1714)(366, 1913)(367, 1716)(368, 1890)(369, 1916)(370, 1718)(371, 1719)(372, 1919)(373, 1857)(374, 1721)(375, 1923)(376, 1723)(377, 1725)(378, 1750)(379, 1927)(380, 1727)(381, 1739)(382, 1931)(383, 1729)(384, 1933)(385, 1730)(386, 1935)(387, 1732)(388, 1938)(389, 1747)(390, 1735)(391, 1941)(392, 1737)(393, 1894)(394, 1945)(395, 1740)(396, 1947)(397, 1861)(398, 1742)(399, 1950)(400, 1744)(401, 1886)(402, 1746)(403, 1954)(404, 1955)(405, 1957)(406, 1749)(407, 1959)(408, 1751)(409, 1752)(410, 1962)(411, 1753)(412, 1964)(413, 1966)(414, 1755)(415, 1968)(416, 1756)(417, 1813)(418, 1758)(419, 1972)(420, 1760)(421, 1837)(422, 1975)(423, 1762)(424, 1763)(425, 1978)(426, 1804)(427, 1765)(428, 1982)(429, 1767)(430, 1769)(431, 1794)(432, 1986)(433, 1771)(434, 1783)(435, 1990)(436, 1773)(437, 1992)(438, 1774)(439, 1994)(440, 1776)(441, 1997)(442, 1791)(443, 1779)(444, 2000)(445, 1781)(446, 1841)(447, 2004)(448, 1784)(449, 2006)(450, 1808)(451, 1786)(452, 2009)(453, 1788)(454, 1833)(455, 1790)(456, 2013)(457, 2014)(458, 2016)(459, 1793)(460, 2018)(461, 2019)(462, 2020)(463, 1797)(464, 1983)(465, 1799)(466, 2024)(467, 1800)(468, 2025)(469, 1802)(470, 1980)(471, 2028)(472, 2030)(473, 1806)(474, 2032)(475, 2001)(476, 1809)(477, 1995)(478, 2034)(479, 1812)(480, 2036)(481, 1969)(482, 2007)(483, 1815)(484, 1963)(485, 2026)(486, 2041)(487, 1819)(488, 2043)(489, 2005)(490, 2045)(491, 1822)(492, 2022)(493, 1824)(494, 2049)(495, 1826)(496, 1976)(497, 2052)(498, 1828)(499, 2054)(500, 2017)(501, 1831)(502, 1974)(503, 2012)(504, 2059)(505, 1834)(506, 1988)(507, 1836)(508, 1981)(509, 2062)(510, 1839)(511, 2064)(512, 2066)(513, 2002)(514, 1843)(515, 1844)(516, 2068)(517, 1845)(518, 1999)(519, 1847)(520, 2071)(521, 2072)(522, 1850)(523, 1924)(524, 1852)(525, 2076)(526, 1853)(527, 2077)(528, 1855)(529, 1921)(530, 2080)(531, 2082)(532, 1859)(533, 2084)(534, 1942)(535, 1862)(536, 1936)(537, 2086)(538, 1865)(539, 2088)(540, 1910)(541, 1948)(542, 1868)(543, 1904)(544, 2078)(545, 2093)(546, 1872)(547, 2095)(548, 1946)(549, 2097)(550, 1875)(551, 2074)(552, 1877)(553, 2101)(554, 1879)(555, 1917)(556, 2104)(557, 1881)(558, 2106)(559, 1958)(560, 1884)(561, 1915)(562, 1953)(563, 2111)(564, 1887)(565, 1929)(566, 1889)(567, 1922)(568, 2114)(569, 1892)(570, 2116)(571, 2118)(572, 1943)(573, 1896)(574, 1897)(575, 2120)(576, 1898)(577, 1940)(578, 1900)(579, 1901)(580, 1902)(581, 2083)(582, 1932)(583, 2091)(584, 1906)(585, 1908)(586, 1925)(587, 2127)(588, 1911)(589, 2099)(590, 1912)(591, 2073)(592, 1914)(593, 2109)(594, 1918)(595, 2112)(596, 1920)(597, 2131)(598, 2113)(599, 2075)(600, 2098)(601, 1926)(602, 2124)(603, 1928)(604, 2096)(605, 1930)(606, 2092)(607, 2081)(608, 2117)(609, 1934)(610, 2107)(611, 2103)(612, 1937)(613, 2128)(614, 1939)(615, 2102)(616, 2121)(617, 2085)(618, 2140)(619, 1944)(620, 2087)(621, 2090)(622, 1949)(623, 2122)(624, 1951)(625, 2100)(626, 1952)(627, 2141)(628, 1956)(629, 2108)(630, 2115)(631, 1960)(632, 1961)(633, 2031)(634, 1991)(635, 2039)(636, 1965)(637, 1967)(638, 1984)(639, 2146)(640, 1970)(641, 2047)(642, 1971)(643, 2021)(644, 1973)(645, 2057)(646, 1977)(647, 2060)(648, 1979)(649, 2150)(650, 2061)(651, 2023)(652, 2046)(653, 1985)(654, 2143)(655, 1987)(656, 2044)(657, 1989)(658, 2040)(659, 2029)(660, 2065)(661, 1993)(662, 2055)(663, 2051)(664, 1996)(665, 2147)(666, 1998)(667, 2050)(668, 2069)(669, 2033)(670, 2159)(671, 2003)(672, 2035)(673, 2038)(674, 2008)(675, 2070)(676, 2010)(677, 2048)(678, 2011)(679, 2160)(680, 2015)(681, 2056)(682, 2063)(683, 2142)(684, 2042)(685, 2148)(686, 2154)(687, 2027)(688, 2053)(689, 2144)(690, 2157)(691, 2037)(692, 2153)(693, 2152)(694, 2151)(695, 2145)(696, 2155)(697, 2158)(698, 2149)(699, 2156)(700, 2058)(701, 2067)(702, 2123)(703, 2094)(704, 2129)(705, 2135)(706, 2079)(707, 2105)(708, 2125)(709, 2138)(710, 2089)(711, 2134)(712, 2133)(713, 2132)(714, 2126)(715, 2136)(716, 2139)(717, 2130)(718, 2137)(719, 2110)(720, 2119)(721, 2161)(722, 2162)(723, 2163)(724, 2164)(725, 2165)(726, 2166)(727, 2167)(728, 2168)(729, 2169)(730, 2170)(731, 2171)(732, 2172)(733, 2173)(734, 2174)(735, 2175)(736, 2176)(737, 2177)(738, 2178)(739, 2179)(740, 2180)(741, 2181)(742, 2182)(743, 2183)(744, 2184)(745, 2185)(746, 2186)(747, 2187)(748, 2188)(749, 2189)(750, 2190)(751, 2191)(752, 2192)(753, 2193)(754, 2194)(755, 2195)(756, 2196)(757, 2197)(758, 2198)(759, 2199)(760, 2200)(761, 2201)(762, 2202)(763, 2203)(764, 2204)(765, 2205)(766, 2206)(767, 2207)(768, 2208)(769, 2209)(770, 2210)(771, 2211)(772, 2212)(773, 2213)(774, 2214)(775, 2215)(776, 2216)(777, 2217)(778, 2218)(779, 2219)(780, 2220)(781, 2221)(782, 2222)(783, 2223)(784, 2224)(785, 2225)(786, 2226)(787, 2227)(788, 2228)(789, 2229)(790, 2230)(791, 2231)(792, 2232)(793, 2233)(794, 2234)(795, 2235)(796, 2236)(797, 2237)(798, 2238)(799, 2239)(800, 2240)(801, 2241)(802, 2242)(803, 2243)(804, 2244)(805, 2245)(806, 2246)(807, 2247)(808, 2248)(809, 2249)(810, 2250)(811, 2251)(812, 2252)(813, 2253)(814, 2254)(815, 2255)(816, 2256)(817, 2257)(818, 2258)(819, 2259)(820, 2260)(821, 2261)(822, 2262)(823, 2263)(824, 2264)(825, 2265)(826, 2266)(827, 2267)(828, 2268)(829, 2269)(830, 2270)(831, 2271)(832, 2272)(833, 2273)(834, 2274)(835, 2275)(836, 2276)(837, 2277)(838, 2278)(839, 2279)(840, 2280)(841, 2281)(842, 2282)(843, 2283)(844, 2284)(845, 2285)(846, 2286)(847, 2287)(848, 2288)(849, 2289)(850, 2290)(851, 2291)(852, 2292)(853, 2293)(854, 2294)(855, 2295)(856, 2296)(857, 2297)(858, 2298)(859, 2299)(860, 2300)(861, 2301)(862, 2302)(863, 2303)(864, 2304)(865, 2305)(866, 2306)(867, 2307)(868, 2308)(869, 2309)(870, 2310)(871, 2311)(872, 2312)(873, 2313)(874, 2314)(875, 2315)(876, 2316)(877, 2317)(878, 2318)(879, 2319)(880, 2320)(881, 2321)(882, 2322)(883, 2323)(884, 2324)(885, 2325)(886, 2326)(887, 2327)(888, 2328)(889, 2329)(890, 2330)(891, 2331)(892, 2332)(893, 2333)(894, 2334)(895, 2335)(896, 2336)(897, 2337)(898, 2338)(899, 2339)(900, 2340)(901, 2341)(902, 2342)(903, 2343)(904, 2344)(905, 2345)(906, 2346)(907, 2347)(908, 2348)(909, 2349)(910, 2350)(911, 2351)(912, 2352)(913, 2353)(914, 2354)(915, 2355)(916, 2356)(917, 2357)(918, 2358)(919, 2359)(920, 2360)(921, 2361)(922, 2362)(923, 2363)(924, 2364)(925, 2365)(926, 2366)(927, 2367)(928, 2368)(929, 2369)(930, 2370)(931, 2371)(932, 2372)(933, 2373)(934, 2374)(935, 2375)(936, 2376)(937, 2377)(938, 2378)(939, 2379)(940, 2380)(941, 2381)(942, 2382)(943, 2383)(944, 2384)(945, 2385)(946, 2386)(947, 2387)(948, 2388)(949, 2389)(950, 2390)(951, 2391)(952, 2392)(953, 2393)(954, 2394)(955, 2395)(956, 2396)(957, 2397)(958, 2398)(959, 2399)(960, 2400)(961, 2401)(962, 2402)(963, 2403)(964, 2404)(965, 2405)(966, 2406)(967, 2407)(968, 2408)(969, 2409)(970, 2410)(971, 2411)(972, 2412)(973, 2413)(974, 2414)(975, 2415)(976, 2416)(977, 2417)(978, 2418)(979, 2419)(980, 2420)(981, 2421)(982, 2422)(983, 2423)(984, 2424)(985, 2425)(986, 2426)(987, 2427)(988, 2428)(989, 2429)(990, 2430)(991, 2431)(992, 2432)(993, 2433)(994, 2434)(995, 2435)(996, 2436)(997, 2437)(998, 2438)(999, 2439)(1000, 2440)(1001, 2441)(1002, 2442)(1003, 2443)(1004, 2444)(1005, 2445)(1006, 2446)(1007, 2447)(1008, 2448)(1009, 2449)(1010, 2450)(1011, 2451)(1012, 2452)(1013, 2453)(1014, 2454)(1015, 2455)(1016, 2456)(1017, 2457)(1018, 2458)(1019, 2459)(1020, 2460)(1021, 2461)(1022, 2462)(1023, 2463)(1024, 2464)(1025, 2465)(1026, 2466)(1027, 2467)(1028, 2468)(1029, 2469)(1030, 2470)(1031, 2471)(1032, 2472)(1033, 2473)(1034, 2474)(1035, 2475)(1036, 2476)(1037, 2477)(1038, 2478)(1039, 2479)(1040, 2480)(1041, 2481)(1042, 2482)(1043, 2483)(1044, 2484)(1045, 2485)(1046, 2486)(1047, 2487)(1048, 2488)(1049, 2489)(1050, 2490)(1051, 2491)(1052, 2492)(1053, 2493)(1054, 2494)(1055, 2495)(1056, 2496)(1057, 2497)(1058, 2498)(1059, 2499)(1060, 2500)(1061, 2501)(1062, 2502)(1063, 2503)(1064, 2504)(1065, 2505)(1066, 2506)(1067, 2507)(1068, 2508)(1069, 2509)(1070, 2510)(1071, 2511)(1072, 2512)(1073, 2513)(1074, 2514)(1075, 2515)(1076, 2516)(1077, 2517)(1078, 2518)(1079, 2519)(1080, 2520)(1081, 2521)(1082, 2522)(1083, 2523)(1084, 2524)(1085, 2525)(1086, 2526)(1087, 2527)(1088, 2528)(1089, 2529)(1090, 2530)(1091, 2531)(1092, 2532)(1093, 2533)(1094, 2534)(1095, 2535)(1096, 2536)(1097, 2537)(1098, 2538)(1099, 2539)(1100, 2540)(1101, 2541)(1102, 2542)(1103, 2543)(1104, 2544)(1105, 2545)(1106, 2546)(1107, 2547)(1108, 2548)(1109, 2549)(1110, 2550)(1111, 2551)(1112, 2552)(1113, 2553)(1114, 2554)(1115, 2555)(1116, 2556)(1117, 2557)(1118, 2558)(1119, 2559)(1120, 2560)(1121, 2561)(1122, 2562)(1123, 2563)(1124, 2564)(1125, 2565)(1126, 2566)(1127, 2567)(1128, 2568)(1129, 2569)(1130, 2570)(1131, 2571)(1132, 2572)(1133, 2573)(1134, 2574)(1135, 2575)(1136, 2576)(1137, 2577)(1138, 2578)(1139, 2579)(1140, 2580)(1141, 2581)(1142, 2582)(1143, 2583)(1144, 2584)(1145, 2585)(1146, 2586)(1147, 2587)(1148, 2588)(1149, 2589)(1150, 2590)(1151, 2591)(1152, 2592)(1153, 2593)(1154, 2594)(1155, 2595)(1156, 2596)(1157, 2597)(1158, 2598)(1159, 2599)(1160, 2600)(1161, 2601)(1162, 2602)(1163, 2603)(1164, 2604)(1165, 2605)(1166, 2606)(1167, 2607)(1168, 2608)(1169, 2609)(1170, 2610)(1171, 2611)(1172, 2612)(1173, 2613)(1174, 2614)(1175, 2615)(1176, 2616)(1177, 2617)(1178, 2618)(1179, 2619)(1180, 2620)(1181, 2621)(1182, 2622)(1183, 2623)(1184, 2624)(1185, 2625)(1186, 2626)(1187, 2627)(1188, 2628)(1189, 2629)(1190, 2630)(1191, 2631)(1192, 2632)(1193, 2633)(1194, 2634)(1195, 2635)(1196, 2636)(1197, 2637)(1198, 2638)(1199, 2639)(1200, 2640)(1201, 2641)(1202, 2642)(1203, 2643)(1204, 2644)(1205, 2645)(1206, 2646)(1207, 2647)(1208, 2648)(1209, 2649)(1210, 2650)(1211, 2651)(1212, 2652)(1213, 2653)(1214, 2654)(1215, 2655)(1216, 2656)(1217, 2657)(1218, 2658)(1219, 2659)(1220, 2660)(1221, 2661)(1222, 2662)(1223, 2663)(1224, 2664)(1225, 2665)(1226, 2666)(1227, 2667)(1228, 2668)(1229, 2669)(1230, 2670)(1231, 2671)(1232, 2672)(1233, 2673)(1234, 2674)(1235, 2675)(1236, 2676)(1237, 2677)(1238, 2678)(1239, 2679)(1240, 2680)(1241, 2681)(1242, 2682)(1243, 2683)(1244, 2684)(1245, 2685)(1246, 2686)(1247, 2687)(1248, 2688)(1249, 2689)(1250, 2690)(1251, 2691)(1252, 2692)(1253, 2693)(1254, 2694)(1255, 2695)(1256, 2696)(1257, 2697)(1258, 2698)(1259, 2699)(1260, 2700)(1261, 2701)(1262, 2702)(1263, 2703)(1264, 2704)(1265, 2705)(1266, 2706)(1267, 2707)(1268, 2708)(1269, 2709)(1270, 2710)(1271, 2711)(1272, 2712)(1273, 2713)(1274, 2714)(1275, 2715)(1276, 2716)(1277, 2717)(1278, 2718)(1279, 2719)(1280, 2720)(1281, 2721)(1282, 2722)(1283, 2723)(1284, 2724)(1285, 2725)(1286, 2726)(1287, 2727)(1288, 2728)(1289, 2729)(1290, 2730)(1291, 2731)(1292, 2732)(1293, 2733)(1294, 2734)(1295, 2735)(1296, 2736)(1297, 2737)(1298, 2738)(1299, 2739)(1300, 2740)(1301, 2741)(1302, 2742)(1303, 2743)(1304, 2744)(1305, 2745)(1306, 2746)(1307, 2747)(1308, 2748)(1309, 2749)(1310, 2750)(1311, 2751)(1312, 2752)(1313, 2753)(1314, 2754)(1315, 2755)(1316, 2756)(1317, 2757)(1318, 2758)(1319, 2759)(1320, 2760)(1321, 2761)(1322, 2762)(1323, 2763)(1324, 2764)(1325, 2765)(1326, 2766)(1327, 2767)(1328, 2768)(1329, 2769)(1330, 2770)(1331, 2771)(1332, 2772)(1333, 2773)(1334, 2774)(1335, 2775)(1336, 2776)(1337, 2777)(1338, 2778)(1339, 2779)(1340, 2780)(1341, 2781)(1342, 2782)(1343, 2783)(1344, 2784)(1345, 2785)(1346, 2786)(1347, 2787)(1348, 2788)(1349, 2789)(1350, 2790)(1351, 2791)(1352, 2792)(1353, 2793)(1354, 2794)(1355, 2795)(1356, 2796)(1357, 2797)(1358, 2798)(1359, 2799)(1360, 2800)(1361, 2801)(1362, 2802)(1363, 2803)(1364, 2804)(1365, 2805)(1366, 2806)(1367, 2807)(1368, 2808)(1369, 2809)(1370, 2810)(1371, 2811)(1372, 2812)(1373, 2813)(1374, 2814)(1375, 2815)(1376, 2816)(1377, 2817)(1378, 2818)(1379, 2819)(1380, 2820)(1381, 2821)(1382, 2822)(1383, 2823)(1384, 2824)(1385, 2825)(1386, 2826)(1387, 2827)(1388, 2828)(1389, 2829)(1390, 2830)(1391, 2831)(1392, 2832)(1393, 2833)(1394, 2834)(1395, 2835)(1396, 2836)(1397, 2837)(1398, 2838)(1399, 2839)(1400, 2840)(1401, 2841)(1402, 2842)(1403, 2843)(1404, 2844)(1405, 2845)(1406, 2846)(1407, 2847)(1408, 2848)(1409, 2849)(1410, 2850)(1411, 2851)(1412, 2852)(1413, 2853)(1414, 2854)(1415, 2855)(1416, 2856)(1417, 2857)(1418, 2858)(1419, 2859)(1420, 2860)(1421, 2861)(1422, 2862)(1423, 2863)(1424, 2864)(1425, 2865)(1426, 2866)(1427, 2867)(1428, 2868)(1429, 2869)(1430, 2870)(1431, 2871)(1432, 2872)(1433, 2873)(1434, 2874)(1435, 2875)(1436, 2876)(1437, 2877)(1438, 2878)(1439, 2879)(1440, 2880)
	local type(s) :: { ( 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.2440
Graph:: bipartite
	v = 540 e = 1440 f = 864
	degree seq :: [ 4^360, 8^180 ]

E19.2438 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = C2 x A6 (small group id <720, 766>)
Aut   = $<1440, 5843>$ (small group id <1440, 5843>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (Y2 * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2^5, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-1, (Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-2)^2, Y1 * Y2^-2 * Y1^-2 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-2 * Y2^-2 * Y1 * Y2^-2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^-2, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 721, 2, 722, 6, 726, 4, 724)(3, 723, 9, 729, 21, 741, 11, 731)(5, 725, 13, 733, 18, 738, 7, 727)(8, 728, 19, 739, 32, 752, 15, 735)(10, 730, 23, 743, 44, 764, 24, 744)(12, 732, 16, 736, 33, 753, 27, 747)(14, 734, 30, 750, 53, 773, 28, 748)(17, 737, 35, 755, 63, 783, 36, 756)(20, 740, 40, 760, 69, 789, 38, 758)(22, 742, 43, 763, 74, 794, 41, 761)(25, 745, 42, 762, 75, 795, 48, 768)(26, 746, 49, 769, 86, 806, 50, 770)(29, 749, 54, 774, 67, 787, 37, 757)(31, 751, 57, 777, 98, 818, 58, 778)(34, 754, 62, 782, 104, 824, 60, 780)(39, 759, 70, 790, 102, 822, 59, 779)(45, 765, 80, 800, 132, 852, 78, 798)(46, 766, 79, 799, 133, 853, 82, 802)(47, 767, 83, 803, 139, 859, 84, 804)(51, 771, 61, 781, 105, 825, 90, 810)(52, 772, 91, 811, 151, 871, 92, 812)(55, 775, 96, 816, 157, 877, 94, 814)(56, 776, 97, 817, 155, 875, 93, 813)(64, 784, 110, 830, 178, 898, 108, 828)(65, 785, 109, 829, 179, 899, 112, 832)(66, 786, 113, 833, 185, 905, 114, 834)(68, 788, 116, 836, 190, 910, 117, 837)(71, 791, 121, 841, 196, 916, 119, 839)(72, 792, 122, 842, 194, 914, 118, 838)(73, 793, 123, 843, 201, 921, 124, 844)(76, 796, 128, 848, 207, 927, 126, 846)(77, 797, 129, 849, 205, 925, 125, 845)(81, 801, 136, 856, 222, 942, 137, 857)(85, 805, 127, 847, 208, 928, 143, 863)(87, 807, 146, 866, 235, 955, 144, 864)(88, 808, 145, 865, 236, 956, 147, 867)(89, 809, 148, 868, 240, 960, 149, 869)(95, 815, 158, 878, 189, 909, 115, 835)(99, 819, 164, 884, 263, 983, 162, 882)(100, 820, 163, 883, 264, 984, 166, 886)(101, 821, 167, 887, 270, 990, 168, 888)(103, 823, 170, 890, 275, 995, 171, 891)(106, 826, 175, 895, 281, 1001, 173, 893)(107, 827, 176, 896, 279, 999, 172, 892)(111, 831, 182, 902, 294, 1014, 183, 903)(120, 840, 197, 917, 274, 994, 169, 889)(130, 850, 213, 933, 337, 1057, 211, 931)(131, 851, 214, 934, 276, 996, 215, 935)(134, 854, 219, 939, 345, 1065, 217, 937)(135, 855, 220, 940, 343, 1063, 216, 936)(138, 858, 218, 938, 346, 1066, 226, 946)(140, 860, 229, 949, 360, 1080, 227, 947)(141, 861, 228, 948, 361, 1081, 230, 950)(142, 862, 231, 951, 365, 1085, 232, 952)(150, 870, 174, 894, 282, 1002, 244, 964)(152, 872, 247, 967, 262, 982, 245, 965)(153, 873, 246, 966, 385, 1105, 249, 969)(154, 874, 250, 970, 391, 1111, 251, 971)(156, 876, 253, 973, 396, 1116, 254, 974)(159, 879, 258, 978, 402, 1122, 256, 976)(160, 880, 259, 979, 400, 1120, 255, 975)(161, 881, 260, 980, 395, 1115, 252, 972)(165, 885, 267, 987, 414, 1134, 268, 988)(177, 897, 286, 1006, 202, 922, 287, 1007)(180, 900, 291, 1011, 441, 1161, 289, 1009)(181, 901, 292, 1012, 439, 1159, 288, 1008)(184, 904, 290, 1010, 442, 1162, 298, 1018)(186, 906, 301, 1021, 344, 1064, 299, 1019)(187, 907, 300, 1020, 455, 1175, 302, 1022)(188, 908, 303, 1023, 459, 1179, 304, 1024)(191, 911, 308, 1028, 234, 954, 306, 1026)(192, 912, 307, 1027, 464, 1184, 310, 1030)(193, 913, 311, 1031, 397, 1117, 312, 1032)(195, 915, 314, 1034, 471, 1191, 315, 1035)(198, 918, 319, 1039, 477, 1197, 317, 1037)(199, 919, 320, 1040, 475, 1195, 316, 1036)(200, 920, 321, 1041, 470, 1190, 313, 1033)(203, 923, 323, 1043, 485, 1205, 325, 1045)(204, 924, 326, 1046, 489, 1209, 327, 1047)(206, 926, 329, 1049, 392, 1112, 330, 1050)(209, 929, 334, 1054, 498, 1218, 332, 1052)(210, 930, 335, 1055, 496, 1216, 331, 1051)(212, 932, 338, 1058, 493, 1213, 328, 1048)(221, 941, 351, 1071, 515, 1235, 349, 1069)(223, 943, 354, 1074, 520, 1240, 352, 1072)(224, 944, 353, 1073, 521, 1241, 355, 1075)(225, 945, 356, 1076, 438, 1158, 357, 1077)(233, 953, 333, 1053, 499, 1219, 369, 1089)(237, 957, 373, 1093, 359, 1079, 371, 1091)(238, 958, 374, 1094, 542, 1262, 370, 1090)(239, 959, 372, 1092, 543, 1263, 377, 1097)(241, 961, 380, 1100, 549, 1269, 378, 1098)(242, 962, 379, 1099, 550, 1270, 381, 1101)(243, 963, 382, 1102, 517, 1237, 383, 1103)(248, 968, 388, 1108, 560, 1280, 389, 1109)(257, 977, 403, 1123, 463, 1183, 305, 1025)(261, 981, 409, 1129, 417, 1137, 407, 1127)(265, 985, 387, 1107, 548, 1268, 410, 1130)(266, 986, 412, 1132, 557, 1277, 386, 1106)(269, 989, 411, 1131, 581, 1301, 418, 1138)(271, 991, 421, 1141, 440, 1160, 419, 1139)(272, 992, 420, 1140, 588, 1308, 422, 1142)(273, 993, 423, 1143, 592, 1312, 424, 1144)(277, 997, 342, 1062, 509, 1229, 427, 1147)(278, 998, 428, 1148, 472, 1192, 341, 1061)(280, 1000, 430, 1150, 490, 1210, 431, 1151)(283, 1003, 435, 1155, 606, 1326, 433, 1153)(284, 1004, 436, 1156, 604, 1324, 432, 1152)(285, 1005, 437, 1157, 601, 1321, 429, 1149)(293, 1013, 447, 1167, 615, 1335, 445, 1165)(295, 1015, 450, 1170, 617, 1337, 448, 1168)(296, 1016, 449, 1169, 618, 1338, 451, 1171)(297, 1017, 452, 1172, 339, 1059, 453, 1173)(309, 1029, 465, 1185, 577, 1297, 466, 1186)(318, 1038, 478, 1198, 596, 1316, 425, 1145)(322, 1042, 484, 1204, 376, 1096, 482, 1202)(324, 1044, 486, 1206, 650, 1370, 487, 1207)(336, 1056, 503, 1223, 658, 1378, 504, 1224)(340, 1060, 507, 1227, 661, 1381, 505, 1225)(347, 1067, 457, 1177, 625, 1345, 511, 1231)(348, 1068, 513, 1233, 623, 1343, 456, 1176)(350, 1070, 516, 1236, 665, 1385, 510, 1230)(358, 1078, 512, 1232, 595, 1315, 527, 1247)(362, 1082, 531, 1251, 519, 1239, 529, 1249)(363, 1083, 532, 1252, 676, 1396, 528, 1248)(364, 1084, 530, 1250, 594, 1314, 535, 1255)(366, 1086, 537, 1257, 611, 1331, 446, 1166)(367, 1087, 536, 1256, 591, 1311, 538, 1258)(368, 1088, 539, 1259, 579, 1299, 540, 1260)(375, 1095, 546, 1266, 534, 1254, 544, 1264)(384, 1104, 434, 1154, 607, 1327, 556, 1276)(390, 1110, 558, 1278, 641, 1361, 476, 1196)(393, 1113, 495, 1215, 656, 1376, 563, 1283)(394, 1114, 564, 1284, 655, 1375, 494, 1214)(398, 1118, 469, 1189, 635, 1355, 567, 1287)(399, 1119, 568, 1288, 522, 1242, 468, 1188)(401, 1121, 488, 1208, 649, 1369, 570, 1290)(404, 1124, 574, 1294, 526, 1246, 572, 1292)(405, 1125, 575, 1295, 610, 1330, 571, 1291)(406, 1126, 576, 1296, 609, 1329, 569, 1289)(408, 1128, 578, 1298, 608, 1328, 565, 1285)(413, 1133, 585, 1305, 685, 1405, 583, 1303)(415, 1135, 580, 1300, 694, 1414, 586, 1306)(416, 1136, 587, 1307, 675, 1395, 525, 1245)(426, 1146, 597, 1317, 647, 1367, 598, 1318)(443, 1163, 590, 1310, 698, 1418, 612, 1332)(444, 1164, 614, 1334, 697, 1417, 589, 1309)(454, 1174, 613, 1333, 555, 1275, 622, 1342)(458, 1178, 624, 1344, 554, 1274, 514, 1234)(460, 1180, 628, 1348, 686, 1406, 584, 1304)(461, 1181, 627, 1347, 553, 1273, 629, 1349)(462, 1182, 630, 1350, 547, 1267, 631, 1351)(467, 1187, 633, 1353, 689, 1409, 605, 1325)(473, 1193, 600, 1320, 701, 1421, 638, 1358)(474, 1194, 639, 1359, 619, 1339, 508, 1228)(479, 1199, 644, 1364, 506, 1226, 642, 1362)(480, 1200, 645, 1365, 502, 1222, 561, 1281)(481, 1201, 646, 1366, 501, 1221, 640, 1360)(483, 1203, 648, 1368, 500, 1220, 636, 1356)(491, 1211, 603, 1323, 704, 1424, 652, 1372)(492, 1212, 653, 1373, 703, 1423, 602, 1322)(497, 1217, 599, 1319, 663, 1383, 657, 1377)(518, 1238, 668, 1388, 696, 1416, 616, 1336)(523, 1243, 671, 1391, 699, 1419, 669, 1389)(524, 1244, 670, 1390, 702, 1422, 674, 1394)(533, 1253, 679, 1399, 673, 1393, 677, 1397)(541, 1261, 632, 1352, 573, 1293, 643, 1363)(545, 1265, 593, 1313, 667, 1387, 681, 1401)(551, 1271, 559, 1279, 660, 1380, 682, 1402)(552, 1272, 683, 1403, 695, 1415, 582, 1302)(562, 1282, 651, 1371, 700, 1420, 634, 1354)(566, 1286, 690, 1410, 672, 1392, 691, 1411)(620, 1340, 709, 1429, 684, 1404, 707, 1427)(621, 1341, 708, 1428, 654, 1374, 710, 1430)(626, 1346, 713, 1433, 662, 1382, 711, 1431)(637, 1357, 717, 1437, 659, 1379, 718, 1438)(664, 1384, 706, 1426, 692, 1412, 716, 1436)(666, 1386, 712, 1432, 688, 1408, 715, 1435)(678, 1398, 720, 1440, 687, 1407, 714, 1434)(680, 1400, 719, 1439, 693, 1413, 705, 1425)(1441, 2161, 1443, 2163, 1450, 2170, 1454, 2174, 1445, 2165)(1442, 2162, 1447, 2167, 1457, 2177, 1460, 2180, 1448, 2168)(1444, 2164, 1452, 2172, 1466, 2186, 1462, 2182, 1449, 2169)(1446, 2166, 1455, 2175, 1471, 2191, 1474, 2194, 1456, 2176)(1451, 2171, 1465, 2185, 1487, 2207, 1485, 2205, 1463, 2183)(1453, 2173, 1468, 2188, 1492, 2212, 1495, 2215, 1469, 2189)(1458, 2178, 1477, 2197, 1506, 2226, 1504, 2224, 1475, 2195)(1459, 2179, 1478, 2198, 1508, 2228, 1511, 2231, 1479, 2199)(1461, 2181, 1481, 2201, 1513, 2233, 1516, 2236, 1482, 2202)(1464, 2184, 1486, 2206, 1521, 2241, 1496, 2216, 1470, 2190)(1467, 2187, 1491, 2211, 1529, 2249, 1527, 2247, 1489, 2209)(1472, 2192, 1499, 2219, 1541, 2261, 1539, 2259, 1497, 2217)(1473, 2193, 1500, 2220, 1543, 2263, 1546, 2266, 1501, 2221)(1476, 2196, 1505, 2225, 1551, 2271, 1512, 2232, 1480, 2200)(1483, 2203, 1490, 2210, 1528, 2248, 1570, 2290, 1517, 2237)(1484, 2204, 1518, 2238, 1571, 2291, 1574, 2294, 1519, 2239)(1488, 2208, 1525, 2245, 1582, 2302, 1580, 2300, 1523, 2243)(1493, 2213, 1533, 2253, 1594, 2314, 1592, 2312, 1531, 2251)(1494, 2214, 1534, 2254, 1596, 2316, 1599, 2319, 1535, 2255)(1498, 2218, 1540, 2260, 1605, 2325, 1547, 2267, 1502, 2222)(1503, 2223, 1548, 2268, 1617, 2337, 1620, 2340, 1549, 2269)(1507, 2227, 1555, 2275, 1628, 2348, 1626, 2346, 1553, 2273)(1509, 2229, 1558, 2278, 1633, 2353, 1631, 2351, 1556, 2276)(1510, 2230, 1559, 2279, 1635, 2355, 1638, 2358, 1560, 2280)(1514, 2234, 1565, 2285, 1644, 2364, 1642, 2362, 1563, 2283)(1515, 2235, 1566, 2286, 1646, 2366, 1649, 2369, 1567, 2287)(1520, 2240, 1524, 2244, 1581, 2301, 1661, 2381, 1575, 2295)(1522, 2242, 1578, 2298, 1665, 2385, 1663, 2383, 1576, 2296)(1526, 2246, 1584, 2304, 1674, 2394, 1677, 2397, 1585, 2305)(1530, 2250, 1590, 2310, 1683, 2403, 1681, 2401, 1588, 2308)(1532, 2252, 1593, 2313, 1688, 2408, 1600, 2320, 1536, 2256)(1537, 2257, 1577, 2297, 1664, 2384, 1701, 2421, 1601, 2321)(1538, 2258, 1602, 2322, 1702, 2422, 1705, 2425, 1603, 2323)(1542, 2262, 1609, 2329, 1713, 2433, 1711, 2431, 1607, 2327)(1544, 2264, 1612, 2332, 1718, 2438, 1716, 2436, 1610, 2330)(1545, 2265, 1613, 2333, 1720, 2440, 1723, 2443, 1614, 2334)(1550, 2270, 1554, 2274, 1627, 2347, 1733, 2453, 1621, 2341)(1552, 2272, 1624, 2344, 1737, 2457, 1735, 2455, 1622, 2342)(1557, 2277, 1632, 2352, 1749, 2469, 1639, 2359, 1561, 2281)(1562, 2282, 1623, 2343, 1736, 2456, 1762, 2482, 1640, 2360)(1564, 2284, 1643, 2363, 1764, 2484, 1650, 2370, 1568, 2288)(1569, 2289, 1651, 2371, 1776, 2496, 1779, 2499, 1652, 2372)(1572, 2292, 1656, 2376, 1782, 2502, 1715, 2435, 1654, 2374)(1573, 2293, 1657, 2377, 1784, 2504, 1787, 2507, 1658, 2378)(1579, 2299, 1667, 2387, 1799, 2519, 1802, 2522, 1668, 2388)(1583, 2303, 1673, 2393, 1808, 2528, 1806, 2526, 1671, 2391)(1586, 2306, 1589, 2309, 1682, 2402, 1815, 2535, 1678, 2398)(1587, 2307, 1679, 2399, 1816, 2536, 1780, 2500, 1653, 2373)(1591, 2311, 1685, 2405, 1703, 2423, 1826, 2546, 1686, 2406)(1595, 2315, 1692, 2412, 1834, 2554, 1832, 2552, 1690, 2410)(1597, 2317, 1695, 2415, 1839, 2559, 1837, 2557, 1693, 2413)(1598, 2318, 1696, 2416, 1841, 2561, 1844, 2564, 1697, 2417)(1604, 2324, 1608, 2328, 1712, 2432, 1853, 2573, 1706, 2426)(1606, 2326, 1709, 2429, 1857, 2577, 1855, 2575, 1707, 2427)(1611, 2331, 1717, 2437, 1866, 2586, 1724, 2444, 1615, 2335)(1616, 2336, 1708, 2428, 1856, 2576, 1878, 2598, 1725, 2445)(1618, 2338, 1728, 2448, 1763, 2483, 1641, 2361, 1726, 2446)(1619, 2339, 1729, 2449, 1880, 2600, 1883, 2603, 1730, 2450)(1625, 2345, 1739, 2459, 1785, 2505, 1896, 2616, 1740, 2460)(1629, 2349, 1745, 2465, 1902, 2622, 1900, 2620, 1743, 2463)(1630, 2350, 1746, 2466, 1675, 2395, 1810, 2530, 1747, 2467)(1634, 2354, 1753, 2473, 1909, 2629, 1836, 2556, 1751, 2471)(1636, 2356, 1756, 2476, 1914, 2634, 1912, 2632, 1754, 2474)(1637, 2357, 1757, 2477, 1916, 2636, 1919, 2639, 1758, 2478)(1645, 2365, 1768, 2488, 1932, 2652, 1930, 2650, 1766, 2486)(1647, 2367, 1771, 2491, 1935, 2655, 1831, 2551, 1769, 2489)(1648, 2368, 1772, 2492, 1937, 2657, 1940, 2660, 1773, 2493)(1655, 2375, 1781, 2501, 1948, 2668, 1788, 2508, 1659, 2379)(1660, 2380, 1789, 2509, 1954, 2674, 1957, 2677, 1790, 2510)(1662, 2382, 1792, 2512, 1959, 2679, 1962, 2682, 1793, 2513)(1666, 2386, 1798, 2518, 1966, 2686, 1877, 2597, 1796, 2516)(1669, 2389, 1672, 2392, 1807, 2527, 1973, 2693, 1803, 2523)(1670, 2390, 1804, 2524, 1974, 2694, 1958, 2678, 1791, 2511)(1676, 2396, 1811, 2531, 1800, 2520, 1968, 2688, 1812, 2532)(1680, 2400, 1818, 2538, 1988, 2708, 1991, 2711, 1819, 2539)(1684, 2404, 1824, 2544, 1995, 2715, 1956, 2676, 1822, 2542)(1687, 2407, 1691, 2411, 1833, 2553, 1999, 2719, 1827, 2547)(1689, 2409, 1830, 2550, 1917, 2637, 2001, 2721, 1828, 2548)(1694, 2414, 1838, 2558, 2006, 2726, 1845, 2565, 1698, 2418)(1699, 2419, 1829, 2549, 2002, 2722, 2017, 2737, 1846, 2566)(1700, 2420, 1847, 2567, 1858, 2578, 2019, 2739, 1848, 2568)(1704, 2424, 1850, 2570, 1989, 2709, 2022, 2742, 1851, 2571)(1710, 2430, 1859, 2579, 1881, 2601, 2029, 2749, 1860, 2580)(1714, 2434, 1865, 2585, 2035, 2755, 2033, 2753, 1863, 2583)(1719, 2439, 1869, 2589, 2040, 2760, 1911, 2631, 1868, 2588)(1721, 2441, 1872, 2592, 2043, 2763, 1929, 2649, 1870, 2590)(1722, 2442, 1873, 2593, 2045, 2765, 2048, 2768, 1874, 2594)(1727, 2447, 1767, 2487, 1931, 2651, 1884, 2604, 1731, 2451)(1732, 2452, 1885, 2605, 1976, 2696, 1805, 2525, 1886, 2606)(1734, 2454, 1888, 2608, 1953, 2673, 2059, 2779, 1889, 2609)(1738, 2458, 1894, 2614, 1946, 2666, 1778, 2498, 1892, 2612)(1741, 2461, 1744, 2464, 1901, 2621, 2066, 2786, 1897, 2617)(1742, 2462, 1898, 2618, 1955, 2675, 2056, 2776, 1887, 2607)(1748, 2468, 1752, 2472, 1908, 2628, 1971, 2691, 1813, 2533)(1750, 2470, 1907, 2627, 2046, 2766, 2016, 2736, 1905, 2625)(1755, 2475, 1913, 2633, 2077, 2797, 1920, 2640, 1759, 2479)(1760, 2480, 1906, 2626, 2074, 2794, 2087, 2807, 1921, 2641)(1761, 2481, 1922, 2642, 1817, 2537, 1987, 2707, 1923, 2643)(1765, 2485, 1928, 2648, 1842, 2562, 2011, 2731, 1926, 2646)(1770, 2490, 1934, 2654, 2094, 2814, 1941, 2661, 1774, 2494)(1775, 2495, 1927, 2647, 2091, 2811, 2000, 2720, 1942, 2662)(1777, 2497, 1945, 2665, 2100, 2820, 2003, 2723, 1943, 2663)(1783, 2503, 1950, 2670, 2104, 2824, 2103, 2823, 1949, 2669)(1786, 2506, 1951, 2671, 2106, 2826, 2107, 2827, 1952, 2672)(1794, 2514, 1797, 2517, 1965, 2685, 2112, 2832, 1963, 2683)(1795, 2515, 1964, 2684, 2113, 2833, 2020, 2740, 1849, 2569)(1801, 2521, 1969, 2689, 1960, 2680, 2109, 2829, 1970, 2690)(1809, 2529, 1981, 2701, 2047, 2767, 2018, 2738, 1979, 2699)(1814, 2534, 1984, 2704, 1975, 2695, 2032, 2752, 1985, 2705)(1820, 2540, 1823, 2543, 1994, 2714, 2124, 2844, 1992, 2712)(1821, 2541, 1993, 2713, 2125, 2845, 2108, 2828, 1986, 2706)(1825, 2545, 1997, 2717, 2126, 2846, 2127, 2847, 1998, 2718)(1835, 2555, 2005, 2725, 2129, 2849, 2128, 2848, 2004, 2724)(1840, 2560, 2009, 2729, 2110, 2830, 1961, 2681, 2008, 2728)(1843, 2563, 2012, 2732, 1967, 2687, 2036, 2756, 2013, 2733)(1852, 2572, 2023, 2743, 2067, 2787, 1899, 2619, 2024, 2744)(1854, 2574, 2026, 2746, 2054, 2774, 2092, 2812, 2027, 2747)(1861, 2581, 1864, 2584, 2034, 2754, 2139, 2859, 2030, 2750)(1862, 2582, 2031, 2751, 2055, 2775, 2136, 2856, 2025, 2745)(1867, 2587, 2039, 2759, 1938, 2658, 2086, 2806, 2037, 2757)(1871, 2591, 2042, 2762, 2142, 2862, 2049, 2769, 1875, 2595)(1876, 2596, 2038, 2758, 2140, 2860, 2090, 2810, 2050, 2770)(1879, 2599, 2051, 2771, 2145, 2865, 2089, 2809, 1925, 2645)(1882, 2602, 2052, 2772, 2146, 2866, 2105, 2825, 2053, 2773)(1890, 2610, 1893, 2613, 1944, 2664, 2099, 2819, 2060, 2780)(1891, 2611, 2061, 2781, 2102, 2822, 1947, 2667, 1924, 2644)(1895, 2615, 2063, 2783, 2057, 2777, 2147, 2867, 2064, 2784)(1903, 2623, 2072, 2792, 1939, 2659, 2088, 2808, 2070, 2790)(1904, 2624, 1982, 2702, 2121, 2841, 2155, 2875, 2073, 2793)(1910, 2630, 2076, 2796, 2097, 2817, 2156, 2876, 2075, 2795)(1915, 2635, 2080, 2800, 2148, 2868, 2058, 2778, 2079, 2799)(1918, 2638, 2082, 2802, 2062, 2782, 1996, 2716, 2083, 2803)(1933, 2653, 2084, 2804, 2081, 2801, 2160, 2880, 2093, 2813)(1936, 2656, 2085, 2805, 2158, 2878, 2098, 2818, 2096, 2816)(1972, 2692, 2117, 2837, 2114, 2834, 2143, 2863, 2118, 2838)(1977, 2697, 1980, 2700, 2021, 2741, 2135, 2855, 2120, 2840)(1978, 2698, 2028, 2748, 2137, 2857, 2134, 2854, 2119, 2839)(1983, 2703, 2116, 2836, 2154, 2874, 2068, 2788, 2071, 2791)(1990, 2710, 2122, 2842, 2101, 2821, 2153, 2873, 2069, 2789)(2007, 2727, 2132, 2852, 2138, 2858, 2111, 2831, 2130, 2850)(2010, 2730, 2133, 2853, 2141, 2861, 2041, 2761, 2014, 2734)(2015, 2735, 2131, 2851, 2115, 2835, 2144, 2864, 2044, 2764)(2065, 2785, 2151, 2871, 2150, 2870, 2095, 2815, 2152, 2872)(2078, 2798, 2159, 2879, 2123, 2843, 2149, 2869, 2157, 2877)
	L = (1, 1443)(2, 1447)(3, 1450)(4, 1452)(5, 1441)(6, 1455)(7, 1457)(8, 1442)(9, 1444)(10, 1454)(11, 1465)(12, 1466)(13, 1468)(14, 1445)(15, 1471)(16, 1446)(17, 1460)(18, 1477)(19, 1478)(20, 1448)(21, 1481)(22, 1449)(23, 1451)(24, 1486)(25, 1487)(26, 1462)(27, 1491)(28, 1492)(29, 1453)(30, 1464)(31, 1474)(32, 1499)(33, 1500)(34, 1456)(35, 1458)(36, 1505)(37, 1506)(38, 1508)(39, 1459)(40, 1476)(41, 1513)(42, 1461)(43, 1490)(44, 1518)(45, 1463)(46, 1521)(47, 1485)(48, 1525)(49, 1467)(50, 1528)(51, 1529)(52, 1495)(53, 1533)(54, 1534)(55, 1469)(56, 1470)(57, 1472)(58, 1540)(59, 1541)(60, 1543)(61, 1473)(62, 1498)(63, 1548)(64, 1475)(65, 1551)(66, 1504)(67, 1555)(68, 1511)(69, 1558)(70, 1559)(71, 1479)(72, 1480)(73, 1516)(74, 1565)(75, 1566)(76, 1482)(77, 1483)(78, 1571)(79, 1484)(80, 1524)(81, 1496)(82, 1578)(83, 1488)(84, 1581)(85, 1582)(86, 1584)(87, 1489)(88, 1570)(89, 1527)(90, 1590)(91, 1493)(92, 1593)(93, 1594)(94, 1596)(95, 1494)(96, 1532)(97, 1577)(98, 1602)(99, 1497)(100, 1605)(101, 1539)(102, 1609)(103, 1546)(104, 1612)(105, 1613)(106, 1501)(107, 1502)(108, 1617)(109, 1503)(110, 1554)(111, 1512)(112, 1624)(113, 1507)(114, 1627)(115, 1628)(116, 1509)(117, 1632)(118, 1633)(119, 1635)(120, 1510)(121, 1557)(122, 1623)(123, 1514)(124, 1643)(125, 1644)(126, 1646)(127, 1515)(128, 1564)(129, 1651)(130, 1517)(131, 1574)(132, 1656)(133, 1657)(134, 1519)(135, 1520)(136, 1522)(137, 1664)(138, 1665)(139, 1667)(140, 1523)(141, 1661)(142, 1580)(143, 1673)(144, 1674)(145, 1526)(146, 1589)(147, 1679)(148, 1530)(149, 1682)(150, 1683)(151, 1685)(152, 1531)(153, 1688)(154, 1592)(155, 1692)(156, 1599)(157, 1695)(158, 1696)(159, 1535)(160, 1536)(161, 1537)(162, 1702)(163, 1538)(164, 1608)(165, 1547)(166, 1709)(167, 1542)(168, 1712)(169, 1713)(170, 1544)(171, 1717)(172, 1718)(173, 1720)(174, 1545)(175, 1611)(176, 1708)(177, 1620)(178, 1728)(179, 1729)(180, 1549)(181, 1550)(182, 1552)(183, 1736)(184, 1737)(185, 1739)(186, 1553)(187, 1733)(188, 1626)(189, 1745)(190, 1746)(191, 1556)(192, 1749)(193, 1631)(194, 1753)(195, 1638)(196, 1756)(197, 1757)(198, 1560)(199, 1561)(200, 1562)(201, 1726)(202, 1563)(203, 1764)(204, 1642)(205, 1768)(206, 1649)(207, 1771)(208, 1772)(209, 1567)(210, 1568)(211, 1776)(212, 1569)(213, 1587)(214, 1572)(215, 1781)(216, 1782)(217, 1784)(218, 1573)(219, 1655)(220, 1789)(221, 1575)(222, 1792)(223, 1576)(224, 1701)(225, 1663)(226, 1798)(227, 1799)(228, 1579)(229, 1672)(230, 1804)(231, 1583)(232, 1807)(233, 1808)(234, 1677)(235, 1810)(236, 1811)(237, 1585)(238, 1586)(239, 1816)(240, 1818)(241, 1588)(242, 1815)(243, 1681)(244, 1824)(245, 1703)(246, 1591)(247, 1691)(248, 1600)(249, 1830)(250, 1595)(251, 1833)(252, 1834)(253, 1597)(254, 1838)(255, 1839)(256, 1841)(257, 1598)(258, 1694)(259, 1829)(260, 1847)(261, 1601)(262, 1705)(263, 1826)(264, 1850)(265, 1603)(266, 1604)(267, 1606)(268, 1856)(269, 1857)(270, 1859)(271, 1607)(272, 1853)(273, 1711)(274, 1865)(275, 1654)(276, 1610)(277, 1866)(278, 1716)(279, 1869)(280, 1723)(281, 1872)(282, 1873)(283, 1614)(284, 1615)(285, 1616)(286, 1618)(287, 1767)(288, 1763)(289, 1880)(290, 1619)(291, 1727)(292, 1885)(293, 1621)(294, 1888)(295, 1622)(296, 1762)(297, 1735)(298, 1894)(299, 1785)(300, 1625)(301, 1744)(302, 1898)(303, 1629)(304, 1901)(305, 1902)(306, 1675)(307, 1630)(308, 1752)(309, 1639)(310, 1907)(311, 1634)(312, 1908)(313, 1909)(314, 1636)(315, 1913)(316, 1914)(317, 1916)(318, 1637)(319, 1755)(320, 1906)(321, 1922)(322, 1640)(323, 1641)(324, 1650)(325, 1928)(326, 1645)(327, 1931)(328, 1932)(329, 1647)(330, 1934)(331, 1935)(332, 1937)(333, 1648)(334, 1770)(335, 1927)(336, 1779)(337, 1945)(338, 1892)(339, 1652)(340, 1653)(341, 1948)(342, 1715)(343, 1950)(344, 1787)(345, 1896)(346, 1951)(347, 1658)(348, 1659)(349, 1954)(350, 1660)(351, 1670)(352, 1959)(353, 1662)(354, 1797)(355, 1964)(356, 1666)(357, 1965)(358, 1966)(359, 1802)(360, 1968)(361, 1969)(362, 1668)(363, 1669)(364, 1974)(365, 1886)(366, 1671)(367, 1973)(368, 1806)(369, 1981)(370, 1747)(371, 1800)(372, 1676)(373, 1748)(374, 1984)(375, 1678)(376, 1780)(377, 1987)(378, 1988)(379, 1680)(380, 1823)(381, 1993)(382, 1684)(383, 1994)(384, 1995)(385, 1997)(386, 1686)(387, 1687)(388, 1689)(389, 2002)(390, 1917)(391, 1769)(392, 1690)(393, 1999)(394, 1832)(395, 2005)(396, 1751)(397, 1693)(398, 2006)(399, 1837)(400, 2009)(401, 1844)(402, 2011)(403, 2012)(404, 1697)(405, 1698)(406, 1699)(407, 1858)(408, 1700)(409, 1795)(410, 1989)(411, 1704)(412, 2023)(413, 1706)(414, 2026)(415, 1707)(416, 1878)(417, 1855)(418, 2019)(419, 1881)(420, 1710)(421, 1864)(422, 2031)(423, 1714)(424, 2034)(425, 2035)(426, 1724)(427, 2039)(428, 1719)(429, 2040)(430, 1721)(431, 2042)(432, 2043)(433, 2045)(434, 1722)(435, 1871)(436, 2038)(437, 1796)(438, 1725)(439, 2051)(440, 1883)(441, 2029)(442, 2052)(443, 1730)(444, 1731)(445, 1976)(446, 1732)(447, 1742)(448, 1953)(449, 1734)(450, 1893)(451, 2061)(452, 1738)(453, 1944)(454, 1946)(455, 2063)(456, 1740)(457, 1741)(458, 1955)(459, 2024)(460, 1743)(461, 2066)(462, 1900)(463, 2072)(464, 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1956)(556, 2083)(557, 2126)(558, 1825)(559, 1827)(560, 1942)(561, 1828)(562, 2017)(563, 1943)(564, 1835)(565, 2129)(566, 1845)(567, 2132)(568, 1840)(569, 2110)(570, 2133)(571, 1926)(572, 1967)(573, 1843)(574, 2010)(575, 2131)(576, 1905)(577, 1846)(578, 1979)(579, 1848)(580, 1849)(581, 2135)(582, 1851)(583, 2067)(584, 1852)(585, 1862)(586, 2054)(587, 1854)(588, 2137)(589, 1860)(590, 1861)(591, 2055)(592, 1985)(593, 1863)(594, 2139)(595, 2033)(596, 2013)(597, 1867)(598, 2140)(599, 1938)(600, 1911)(601, 2014)(602, 2142)(603, 1929)(604, 2015)(605, 2048)(606, 2016)(607, 2018)(608, 1874)(609, 1875)(610, 1876)(611, 2145)(612, 2146)(613, 1882)(614, 2092)(615, 2136)(616, 1887)(617, 2147)(618, 2079)(619, 1889)(620, 1890)(621, 2102)(622, 1996)(623, 2057)(624, 1895)(625, 2151)(626, 1897)(627, 1899)(628, 2071)(629, 1990)(630, 1903)(631, 1983)(632, 1939)(633, 1904)(634, 2087)(635, 1910)(636, 2097)(637, 1920)(638, 2159)(639, 1915)(640, 2148)(641, 2160)(642, 2062)(643, 1918)(644, 2081)(645, 2158)(646, 2037)(647, 1921)(648, 2070)(649, 1925)(650, 2050)(651, 2000)(652, 2027)(653, 1933)(654, 1941)(655, 2152)(656, 1936)(657, 2156)(658, 2096)(659, 2060)(660, 2003)(661, 2153)(662, 1947)(663, 1949)(664, 2103)(665, 2053)(666, 2107)(667, 1952)(668, 1986)(669, 1970)(670, 1961)(671, 2130)(672, 1963)(673, 2020)(674, 2143)(675, 2144)(676, 2154)(677, 2114)(678, 1972)(679, 1978)(680, 1977)(681, 2155)(682, 2101)(683, 2149)(684, 1992)(685, 2108)(686, 2127)(687, 1998)(688, 2004)(689, 2128)(690, 2007)(691, 2115)(692, 2138)(693, 2141)(694, 2119)(695, 2120)(696, 2025)(697, 2134)(698, 2111)(699, 2030)(700, 2090)(701, 2041)(702, 2049)(703, 2118)(704, 2044)(705, 2089)(706, 2105)(707, 2064)(708, 2058)(709, 2157)(710, 2095)(711, 2150)(712, 2065)(713, 2069)(714, 2068)(715, 2073)(716, 2075)(717, 2078)(718, 2098)(719, 2123)(720, 2093)(721, 2161)(722, 2162)(723, 2163)(724, 2164)(725, 2165)(726, 2166)(727, 2167)(728, 2168)(729, 2169)(730, 2170)(731, 2171)(732, 2172)(733, 2173)(734, 2174)(735, 2175)(736, 2176)(737, 2177)(738, 2178)(739, 2179)(740, 2180)(741, 2181)(742, 2182)(743, 2183)(744, 2184)(745, 2185)(746, 2186)(747, 2187)(748, 2188)(749, 2189)(750, 2190)(751, 2191)(752, 2192)(753, 2193)(754, 2194)(755, 2195)(756, 2196)(757, 2197)(758, 2198)(759, 2199)(760, 2200)(761, 2201)(762, 2202)(763, 2203)(764, 2204)(765, 2205)(766, 2206)(767, 2207)(768, 2208)(769, 2209)(770, 2210)(771, 2211)(772, 2212)(773, 2213)(774, 2214)(775, 2215)(776, 2216)(777, 2217)(778, 2218)(779, 2219)(780, 2220)(781, 2221)(782, 2222)(783, 2223)(784, 2224)(785, 2225)(786, 2226)(787, 2227)(788, 2228)(789, 2229)(790, 2230)(791, 2231)(792, 2232)(793, 2233)(794, 2234)(795, 2235)(796, 2236)(797, 2237)(798, 2238)(799, 2239)(800, 2240)(801, 2241)(802, 2242)(803, 2243)(804, 2244)(805, 2245)(806, 2246)(807, 2247)(808, 2248)(809, 2249)(810, 2250)(811, 2251)(812, 2252)(813, 2253)(814, 2254)(815, 2255)(816, 2256)(817, 2257)(818, 2258)(819, 2259)(820, 2260)(821, 2261)(822, 2262)(823, 2263)(824, 2264)(825, 2265)(826, 2266)(827, 2267)(828, 2268)(829, 2269)(830, 2270)(831, 2271)(832, 2272)(833, 2273)(834, 2274)(835, 2275)(836, 2276)(837, 2277)(838, 2278)(839, 2279)(840, 2280)(841, 2281)(842, 2282)(843, 2283)(844, 2284)(845, 2285)(846, 2286)(847, 2287)(848, 2288)(849, 2289)(850, 2290)(851, 2291)(852, 2292)(853, 2293)(854, 2294)(855, 2295)(856, 2296)(857, 2297)(858, 2298)(859, 2299)(860, 2300)(861, 2301)(862, 2302)(863, 2303)(864, 2304)(865, 2305)(866, 2306)(867, 2307)(868, 2308)(869, 2309)(870, 2310)(871, 2311)(872, 2312)(873, 2313)(874, 2314)(875, 2315)(876, 2316)(877, 2317)(878, 2318)(879, 2319)(880, 2320)(881, 2321)(882, 2322)(883, 2323)(884, 2324)(885, 2325)(886, 2326)(887, 2327)(888, 2328)(889, 2329)(890, 2330)(891, 2331)(892, 2332)(893, 2333)(894, 2334)(895, 2335)(896, 2336)(897, 2337)(898, 2338)(899, 2339)(900, 2340)(901, 2341)(902, 2342)(903, 2343)(904, 2344)(905, 2345)(906, 2346)(907, 2347)(908, 2348)(909, 2349)(910, 2350)(911, 2351)(912, 2352)(913, 2353)(914, 2354)(915, 2355)(916, 2356)(917, 2357)(918, 2358)(919, 2359)(920, 2360)(921, 2361)(922, 2362)(923, 2363)(924, 2364)(925, 2365)(926, 2366)(927, 2367)(928, 2368)(929, 2369)(930, 2370)(931, 2371)(932, 2372)(933, 2373)(934, 2374)(935, 2375)(936, 2376)(937, 2377)(938, 2378)(939, 2379)(940, 2380)(941, 2381)(942, 2382)(943, 2383)(944, 2384)(945, 2385)(946, 2386)(947, 2387)(948, 2388)(949, 2389)(950, 2390)(951, 2391)(952, 2392)(953, 2393)(954, 2394)(955, 2395)(956, 2396)(957, 2397)(958, 2398)(959, 2399)(960, 2400)(961, 2401)(962, 2402)(963, 2403)(964, 2404)(965, 2405)(966, 2406)(967, 2407)(968, 2408)(969, 2409)(970, 2410)(971, 2411)(972, 2412)(973, 2413)(974, 2414)(975, 2415)(976, 2416)(977, 2417)(978, 2418)(979, 2419)(980, 2420)(981, 2421)(982, 2422)(983, 2423)(984, 2424)(985, 2425)(986, 2426)(987, 2427)(988, 2428)(989, 2429)(990, 2430)(991, 2431)(992, 2432)(993, 2433)(994, 2434)(995, 2435)(996, 2436)(997, 2437)(998, 2438)(999, 2439)(1000, 2440)(1001, 2441)(1002, 2442)(1003, 2443)(1004, 2444)(1005, 2445)(1006, 2446)(1007, 2447)(1008, 2448)(1009, 2449)(1010, 2450)(1011, 2451)(1012, 2452)(1013, 2453)(1014, 2454)(1015, 2455)(1016, 2456)(1017, 2457)(1018, 2458)(1019, 2459)(1020, 2460)(1021, 2461)(1022, 2462)(1023, 2463)(1024, 2464)(1025, 2465)(1026, 2466)(1027, 2467)(1028, 2468)(1029, 2469)(1030, 2470)(1031, 2471)(1032, 2472)(1033, 2473)(1034, 2474)(1035, 2475)(1036, 2476)(1037, 2477)(1038, 2478)(1039, 2479)(1040, 2480)(1041, 2481)(1042, 2482)(1043, 2483)(1044, 2484)(1045, 2485)(1046, 2486)(1047, 2487)(1048, 2488)(1049, 2489)(1050, 2490)(1051, 2491)(1052, 2492)(1053, 2493)(1054, 2494)(1055, 2495)(1056, 2496)(1057, 2497)(1058, 2498)(1059, 2499)(1060, 2500)(1061, 2501)(1062, 2502)(1063, 2503)(1064, 2504)(1065, 2505)(1066, 2506)(1067, 2507)(1068, 2508)(1069, 2509)(1070, 2510)(1071, 2511)(1072, 2512)(1073, 2513)(1074, 2514)(1075, 2515)(1076, 2516)(1077, 2517)(1078, 2518)(1079, 2519)(1080, 2520)(1081, 2521)(1082, 2522)(1083, 2523)(1084, 2524)(1085, 2525)(1086, 2526)(1087, 2527)(1088, 2528)(1089, 2529)(1090, 2530)(1091, 2531)(1092, 2532)(1093, 2533)(1094, 2534)(1095, 2535)(1096, 2536)(1097, 2537)(1098, 2538)(1099, 2539)(1100, 2540)(1101, 2541)(1102, 2542)(1103, 2543)(1104, 2544)(1105, 2545)(1106, 2546)(1107, 2547)(1108, 2548)(1109, 2549)(1110, 2550)(1111, 2551)(1112, 2552)(1113, 2553)(1114, 2554)(1115, 2555)(1116, 2556)(1117, 2557)(1118, 2558)(1119, 2559)(1120, 2560)(1121, 2561)(1122, 2562)(1123, 2563)(1124, 2564)(1125, 2565)(1126, 2566)(1127, 2567)(1128, 2568)(1129, 2569)(1130, 2570)(1131, 2571)(1132, 2572)(1133, 2573)(1134, 2574)(1135, 2575)(1136, 2576)(1137, 2577)(1138, 2578)(1139, 2579)(1140, 2580)(1141, 2581)(1142, 2582)(1143, 2583)(1144, 2584)(1145, 2585)(1146, 2586)(1147, 2587)(1148, 2588)(1149, 2589)(1150, 2590)(1151, 2591)(1152, 2592)(1153, 2593)(1154, 2594)(1155, 2595)(1156, 2596)(1157, 2597)(1158, 2598)(1159, 2599)(1160, 2600)(1161, 2601)(1162, 2602)(1163, 2603)(1164, 2604)(1165, 2605)(1166, 2606)(1167, 2607)(1168, 2608)(1169, 2609)(1170, 2610)(1171, 2611)(1172, 2612)(1173, 2613)(1174, 2614)(1175, 2615)(1176, 2616)(1177, 2617)(1178, 2618)(1179, 2619)(1180, 2620)(1181, 2621)(1182, 2622)(1183, 2623)(1184, 2624)(1185, 2625)(1186, 2626)(1187, 2627)(1188, 2628)(1189, 2629)(1190, 2630)(1191, 2631)(1192, 2632)(1193, 2633)(1194, 2634)(1195, 2635)(1196, 2636)(1197, 2637)(1198, 2638)(1199, 2639)(1200, 2640)(1201, 2641)(1202, 2642)(1203, 2643)(1204, 2644)(1205, 2645)(1206, 2646)(1207, 2647)(1208, 2648)(1209, 2649)(1210, 2650)(1211, 2651)(1212, 2652)(1213, 2653)(1214, 2654)(1215, 2655)(1216, 2656)(1217, 2657)(1218, 2658)(1219, 2659)(1220, 2660)(1221, 2661)(1222, 2662)(1223, 2663)(1224, 2664)(1225, 2665)(1226, 2666)(1227, 2667)(1228, 2668)(1229, 2669)(1230, 2670)(1231, 2671)(1232, 2672)(1233, 2673)(1234, 2674)(1235, 2675)(1236, 2676)(1237, 2677)(1238, 2678)(1239, 2679)(1240, 2680)(1241, 2681)(1242, 2682)(1243, 2683)(1244, 2684)(1245, 2685)(1246, 2686)(1247, 2687)(1248, 2688)(1249, 2689)(1250, 2690)(1251, 2691)(1252, 2692)(1253, 2693)(1254, 2694)(1255, 2695)(1256, 2696)(1257, 2697)(1258, 2698)(1259, 2699)(1260, 2700)(1261, 2701)(1262, 2702)(1263, 2703)(1264, 2704)(1265, 2705)(1266, 2706)(1267, 2707)(1268, 2708)(1269, 2709)(1270, 2710)(1271, 2711)(1272, 2712)(1273, 2713)(1274, 2714)(1275, 2715)(1276, 2716)(1277, 2717)(1278, 2718)(1279, 2719)(1280, 2720)(1281, 2721)(1282, 2722)(1283, 2723)(1284, 2724)(1285, 2725)(1286, 2726)(1287, 2727)(1288, 2728)(1289, 2729)(1290, 2730)(1291, 2731)(1292, 2732)(1293, 2733)(1294, 2734)(1295, 2735)(1296, 2736)(1297, 2737)(1298, 2738)(1299, 2739)(1300, 2740)(1301, 2741)(1302, 2742)(1303, 2743)(1304, 2744)(1305, 2745)(1306, 2746)(1307, 2747)(1308, 2748)(1309, 2749)(1310, 2750)(1311, 2751)(1312, 2752)(1313, 2753)(1314, 2754)(1315, 2755)(1316, 2756)(1317, 2757)(1318, 2758)(1319, 2759)(1320, 2760)(1321, 2761)(1322, 2762)(1323, 2763)(1324, 2764)(1325, 2765)(1326, 2766)(1327, 2767)(1328, 2768)(1329, 2769)(1330, 2770)(1331, 2771)(1332, 2772)(1333, 2773)(1334, 2774)(1335, 2775)(1336, 2776)(1337, 2777)(1338, 2778)(1339, 2779)(1340, 2780)(1341, 2781)(1342, 2782)(1343, 2783)(1344, 2784)(1345, 2785)(1346, 2786)(1347, 2787)(1348, 2788)(1349, 2789)(1350, 2790)(1351, 2791)(1352, 2792)(1353, 2793)(1354, 2794)(1355, 2795)(1356, 2796)(1357, 2797)(1358, 2798)(1359, 2799)(1360, 2800)(1361, 2801)(1362, 2802)(1363, 2803)(1364, 2804)(1365, 2805)(1366, 2806)(1367, 2807)(1368, 2808)(1369, 2809)(1370, 2810)(1371, 2811)(1372, 2812)(1373, 2813)(1374, 2814)(1375, 2815)(1376, 2816)(1377, 2817)(1378, 2818)(1379, 2819)(1380, 2820)(1381, 2821)(1382, 2822)(1383, 2823)(1384, 2824)(1385, 2825)(1386, 2826)(1387, 2827)(1388, 2828)(1389, 2829)(1390, 2830)(1391, 2831)(1392, 2832)(1393, 2833)(1394, 2834)(1395, 2835)(1396, 2836)(1397, 2837)(1398, 2838)(1399, 2839)(1400, 2840)(1401, 2841)(1402, 2842)(1403, 2843)(1404, 2844)(1405, 2845)(1406, 2846)(1407, 2847)(1408, 2848)(1409, 2849)(1410, 2850)(1411, 2851)(1412, 2852)(1413, 2853)(1414, 2854)(1415, 2855)(1416, 2856)(1417, 2857)(1418, 2858)(1419, 2859)(1420, 2860)(1421, 2861)(1422, 2862)(1423, 2863)(1424, 2864)(1425, 2865)(1426, 2866)(1427, 2867)(1428, 2868)(1429, 2869)(1430, 2870)(1431, 2871)(1432, 2872)(1433, 2873)(1434, 2874)(1435, 2875)(1436, 2876)(1437, 2877)(1438, 2878)(1439, 2879)(1440, 2880)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E19.2439
Graph:: bipartite
	v = 324 e = 1440 f = 1080
	degree seq :: [ 8^180, 10^144 ]

E19.2439 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = C2 x A6 (small group id <720, 766>)
Aut   = $<1440, 5843>$ (small group id <1440, 5843>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^5, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2)^4, (Y3^-1 * Y1^-1)^5, (Y3 * Y2 * Y3^-1 * Y2)^4, Y3^-2 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2, Y3 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 ]
Map:: polytopal
	R = (1, 721)(2, 722)(3, 723)(4, 724)(5, 725)(6, 726)(7, 727)(8, 728)(9, 729)(10, 730)(11, 731)(12, 732)(13, 733)(14, 734)(15, 735)(16, 736)(17, 737)(18, 738)(19, 739)(20, 740)(21, 741)(22, 742)(23, 743)(24, 744)(25, 745)(26, 746)(27, 747)(28, 748)(29, 749)(30, 750)(31, 751)(32, 752)(33, 753)(34, 754)(35, 755)(36, 756)(37, 757)(38, 758)(39, 759)(40, 760)(41, 761)(42, 762)(43, 763)(44, 764)(45, 765)(46, 766)(47, 767)(48, 768)(49, 769)(50, 770)(51, 771)(52, 772)(53, 773)(54, 774)(55, 775)(56, 776)(57, 777)(58, 778)(59, 779)(60, 780)(61, 781)(62, 782)(63, 783)(64, 784)(65, 785)(66, 786)(67, 787)(68, 788)(69, 789)(70, 790)(71, 791)(72, 792)(73, 793)(74, 794)(75, 795)(76, 796)(77, 797)(78, 798)(79, 799)(80, 800)(81, 801)(82, 802)(83, 803)(84, 804)(85, 805)(86, 806)(87, 807)(88, 808)(89, 809)(90, 810)(91, 811)(92, 812)(93, 813)(94, 814)(95, 815)(96, 816)(97, 817)(98, 818)(99, 819)(100, 820)(101, 821)(102, 822)(103, 823)(104, 824)(105, 825)(106, 826)(107, 827)(108, 828)(109, 829)(110, 830)(111, 831)(112, 832)(113, 833)(114, 834)(115, 835)(116, 836)(117, 837)(118, 838)(119, 839)(120, 840)(121, 841)(122, 842)(123, 843)(124, 844)(125, 845)(126, 846)(127, 847)(128, 848)(129, 849)(130, 850)(131, 851)(132, 852)(133, 853)(134, 854)(135, 855)(136, 856)(137, 857)(138, 858)(139, 859)(140, 860)(141, 861)(142, 862)(143, 863)(144, 864)(145, 865)(146, 866)(147, 867)(148, 868)(149, 869)(150, 870)(151, 871)(152, 872)(153, 873)(154, 874)(155, 875)(156, 876)(157, 877)(158, 878)(159, 879)(160, 880)(161, 881)(162, 882)(163, 883)(164, 884)(165, 885)(166, 886)(167, 887)(168, 888)(169, 889)(170, 890)(171, 891)(172, 892)(173, 893)(174, 894)(175, 895)(176, 896)(177, 897)(178, 898)(179, 899)(180, 900)(181, 901)(182, 902)(183, 903)(184, 904)(185, 905)(186, 906)(187, 907)(188, 908)(189, 909)(190, 910)(191, 911)(192, 912)(193, 913)(194, 914)(195, 915)(196, 916)(197, 917)(198, 918)(199, 919)(200, 920)(201, 921)(202, 922)(203, 923)(204, 924)(205, 925)(206, 926)(207, 927)(208, 928)(209, 929)(210, 930)(211, 931)(212, 932)(213, 933)(214, 934)(215, 935)(216, 936)(217, 937)(218, 938)(219, 939)(220, 940)(221, 941)(222, 942)(223, 943)(224, 944)(225, 945)(226, 946)(227, 947)(228, 948)(229, 949)(230, 950)(231, 951)(232, 952)(233, 953)(234, 954)(235, 955)(236, 956)(237, 957)(238, 958)(239, 959)(240, 960)(241, 961)(242, 962)(243, 963)(244, 964)(245, 965)(246, 966)(247, 967)(248, 968)(249, 969)(250, 970)(251, 971)(252, 972)(253, 973)(254, 974)(255, 975)(256, 976)(257, 977)(258, 978)(259, 979)(260, 980)(261, 981)(262, 982)(263, 983)(264, 984)(265, 985)(266, 986)(267, 987)(268, 988)(269, 989)(270, 990)(271, 991)(272, 992)(273, 993)(274, 994)(275, 995)(276, 996)(277, 997)(278, 998)(279, 999)(280, 1000)(281, 1001)(282, 1002)(283, 1003)(284, 1004)(285, 1005)(286, 1006)(287, 1007)(288, 1008)(289, 1009)(290, 1010)(291, 1011)(292, 1012)(293, 1013)(294, 1014)(295, 1015)(296, 1016)(297, 1017)(298, 1018)(299, 1019)(300, 1020)(301, 1021)(302, 1022)(303, 1023)(304, 1024)(305, 1025)(306, 1026)(307, 1027)(308, 1028)(309, 1029)(310, 1030)(311, 1031)(312, 1032)(313, 1033)(314, 1034)(315, 1035)(316, 1036)(317, 1037)(318, 1038)(319, 1039)(320, 1040)(321, 1041)(322, 1042)(323, 1043)(324, 1044)(325, 1045)(326, 1046)(327, 1047)(328, 1048)(329, 1049)(330, 1050)(331, 1051)(332, 1052)(333, 1053)(334, 1054)(335, 1055)(336, 1056)(337, 1057)(338, 1058)(339, 1059)(340, 1060)(341, 1061)(342, 1062)(343, 1063)(344, 1064)(345, 1065)(346, 1066)(347, 1067)(348, 1068)(349, 1069)(350, 1070)(351, 1071)(352, 1072)(353, 1073)(354, 1074)(355, 1075)(356, 1076)(357, 1077)(358, 1078)(359, 1079)(360, 1080)(361, 1081)(362, 1082)(363, 1083)(364, 1084)(365, 1085)(366, 1086)(367, 1087)(368, 1088)(369, 1089)(370, 1090)(371, 1091)(372, 1092)(373, 1093)(374, 1094)(375, 1095)(376, 1096)(377, 1097)(378, 1098)(379, 1099)(380, 1100)(381, 1101)(382, 1102)(383, 1103)(384, 1104)(385, 1105)(386, 1106)(387, 1107)(388, 1108)(389, 1109)(390, 1110)(391, 1111)(392, 1112)(393, 1113)(394, 1114)(395, 1115)(396, 1116)(397, 1117)(398, 1118)(399, 1119)(400, 1120)(401, 1121)(402, 1122)(403, 1123)(404, 1124)(405, 1125)(406, 1126)(407, 1127)(408, 1128)(409, 1129)(410, 1130)(411, 1131)(412, 1132)(413, 1133)(414, 1134)(415, 1135)(416, 1136)(417, 1137)(418, 1138)(419, 1139)(420, 1140)(421, 1141)(422, 1142)(423, 1143)(424, 1144)(425, 1145)(426, 1146)(427, 1147)(428, 1148)(429, 1149)(430, 1150)(431, 1151)(432, 1152)(433, 1153)(434, 1154)(435, 1155)(436, 1156)(437, 1157)(438, 1158)(439, 1159)(440, 1160)(441, 1161)(442, 1162)(443, 1163)(444, 1164)(445, 1165)(446, 1166)(447, 1167)(448, 1168)(449, 1169)(450, 1170)(451, 1171)(452, 1172)(453, 1173)(454, 1174)(455, 1175)(456, 1176)(457, 1177)(458, 1178)(459, 1179)(460, 1180)(461, 1181)(462, 1182)(463, 1183)(464, 1184)(465, 1185)(466, 1186)(467, 1187)(468, 1188)(469, 1189)(470, 1190)(471, 1191)(472, 1192)(473, 1193)(474, 1194)(475, 1195)(476, 1196)(477, 1197)(478, 1198)(479, 1199)(480, 1200)(481, 1201)(482, 1202)(483, 1203)(484, 1204)(485, 1205)(486, 1206)(487, 1207)(488, 1208)(489, 1209)(490, 1210)(491, 1211)(492, 1212)(493, 1213)(494, 1214)(495, 1215)(496, 1216)(497, 1217)(498, 1218)(499, 1219)(500, 1220)(501, 1221)(502, 1222)(503, 1223)(504, 1224)(505, 1225)(506, 1226)(507, 1227)(508, 1228)(509, 1229)(510, 1230)(511, 1231)(512, 1232)(513, 1233)(514, 1234)(515, 1235)(516, 1236)(517, 1237)(518, 1238)(519, 1239)(520, 1240)(521, 1241)(522, 1242)(523, 1243)(524, 1244)(525, 1245)(526, 1246)(527, 1247)(528, 1248)(529, 1249)(530, 1250)(531, 1251)(532, 1252)(533, 1253)(534, 1254)(535, 1255)(536, 1256)(537, 1257)(538, 1258)(539, 1259)(540, 1260)(541, 1261)(542, 1262)(543, 1263)(544, 1264)(545, 1265)(546, 1266)(547, 1267)(548, 1268)(549, 1269)(550, 1270)(551, 1271)(552, 1272)(553, 1273)(554, 1274)(555, 1275)(556, 1276)(557, 1277)(558, 1278)(559, 1279)(560, 1280)(561, 1281)(562, 1282)(563, 1283)(564, 1284)(565, 1285)(566, 1286)(567, 1287)(568, 1288)(569, 1289)(570, 1290)(571, 1291)(572, 1292)(573, 1293)(574, 1294)(575, 1295)(576, 1296)(577, 1297)(578, 1298)(579, 1299)(580, 1300)(581, 1301)(582, 1302)(583, 1303)(584, 1304)(585, 1305)(586, 1306)(587, 1307)(588, 1308)(589, 1309)(590, 1310)(591, 1311)(592, 1312)(593, 1313)(594, 1314)(595, 1315)(596, 1316)(597, 1317)(598, 1318)(599, 1319)(600, 1320)(601, 1321)(602, 1322)(603, 1323)(604, 1324)(605, 1325)(606, 1326)(607, 1327)(608, 1328)(609, 1329)(610, 1330)(611, 1331)(612, 1332)(613, 1333)(614, 1334)(615, 1335)(616, 1336)(617, 1337)(618, 1338)(619, 1339)(620, 1340)(621, 1341)(622, 1342)(623, 1343)(624, 1344)(625, 1345)(626, 1346)(627, 1347)(628, 1348)(629, 1349)(630, 1350)(631, 1351)(632, 1352)(633, 1353)(634, 1354)(635, 1355)(636, 1356)(637, 1357)(638, 1358)(639, 1359)(640, 1360)(641, 1361)(642, 1362)(643, 1363)(644, 1364)(645, 1365)(646, 1366)(647, 1367)(648, 1368)(649, 1369)(650, 1370)(651, 1371)(652, 1372)(653, 1373)(654, 1374)(655, 1375)(656, 1376)(657, 1377)(658, 1378)(659, 1379)(660, 1380)(661, 1381)(662, 1382)(663, 1383)(664, 1384)(665, 1385)(666, 1386)(667, 1387)(668, 1388)(669, 1389)(670, 1390)(671, 1391)(672, 1392)(673, 1393)(674, 1394)(675, 1395)(676, 1396)(677, 1397)(678, 1398)(679, 1399)(680, 1400)(681, 1401)(682, 1402)(683, 1403)(684, 1404)(685, 1405)(686, 1406)(687, 1407)(688, 1408)(689, 1409)(690, 1410)(691, 1411)(692, 1412)(693, 1413)(694, 1414)(695, 1415)(696, 1416)(697, 1417)(698, 1418)(699, 1419)(700, 1420)(701, 1421)(702, 1422)(703, 1423)(704, 1424)(705, 1425)(706, 1426)(707, 1427)(708, 1428)(709, 1429)(710, 1430)(711, 1431)(712, 1432)(713, 1433)(714, 1434)(715, 1435)(716, 1436)(717, 1437)(718, 1438)(719, 1439)(720, 1440)(1441, 2161, 1442, 2162)(1443, 2163, 1447, 2167)(1444, 2164, 1449, 2169)(1445, 2165, 1451, 2171)(1446, 2166, 1453, 2173)(1448, 2168, 1457, 2177)(1450, 2170, 1460, 2180)(1452, 2172, 1463, 2183)(1454, 2174, 1466, 2186)(1455, 2175, 1465, 2185)(1456, 2176, 1468, 2188)(1458, 2178, 1472, 2192)(1459, 2179, 1461, 2181)(1462, 2182, 1478, 2198)(1464, 2184, 1482, 2202)(1467, 2187, 1487, 2207)(1469, 2189, 1490, 2210)(1470, 2190, 1489, 2209)(1471, 2191, 1492, 2212)(1473, 2193, 1496, 2216)(1474, 2194, 1497, 2217)(1475, 2195, 1498, 2218)(1476, 2196, 1494, 2214)(1477, 2197, 1501, 2221)(1479, 2199, 1504, 2224)(1480, 2200, 1503, 2223)(1481, 2201, 1506, 2226)(1483, 2203, 1510, 2230)(1484, 2204, 1511, 2231)(1485, 2205, 1512, 2232)(1486, 2206, 1508, 2228)(1488, 2208, 1517, 2237)(1491, 2211, 1522, 2242)(1493, 2213, 1524, 2244)(1495, 2215, 1526, 2246)(1499, 2219, 1533, 2253)(1500, 2220, 1534, 2254)(1502, 2222, 1537, 2257)(1505, 2225, 1542, 2262)(1507, 2227, 1544, 2264)(1509, 2229, 1546, 2266)(1513, 2233, 1553, 2273)(1514, 2234, 1554, 2274)(1515, 2235, 1551, 2271)(1516, 2236, 1556, 2276)(1518, 2238, 1560, 2280)(1519, 2239, 1561, 2281)(1520, 2240, 1562, 2282)(1521, 2241, 1558, 2278)(1523, 2243, 1567, 2287)(1525, 2245, 1571, 2291)(1527, 2247, 1574, 2294)(1528, 2248, 1573, 2293)(1529, 2249, 1576, 2296)(1530, 2250, 1578, 2298)(1531, 2251, 1535, 2255)(1532, 2252, 1581, 2301)(1536, 2256, 1587, 2307)(1538, 2258, 1591, 2311)(1539, 2259, 1592, 2312)(1540, 2260, 1593, 2313)(1541, 2261, 1589, 2309)(1543, 2263, 1598, 2318)(1545, 2265, 1602, 2322)(1547, 2267, 1605, 2325)(1548, 2268, 1604, 2324)(1549, 2269, 1607, 2327)(1550, 2270, 1609, 2329)(1552, 2272, 1612, 2332)(1555, 2275, 1617, 2337)(1557, 2277, 1619, 2339)(1559, 2279, 1590, 2310)(1563, 2283, 1627, 2347)(1564, 2284, 1628, 2348)(1565, 2285, 1625, 2345)(1566, 2286, 1630, 2350)(1568, 2288, 1634, 2354)(1569, 2289, 1635, 2355)(1570, 2290, 1632, 2352)(1572, 2292, 1603, 2323)(1575, 2295, 1644, 2364)(1577, 2297, 1646, 2366)(1579, 2299, 1648, 2368)(1580, 2300, 1649, 2369)(1582, 2302, 1651, 2371)(1583, 2303, 1653, 2373)(1584, 2304, 1655, 2375)(1585, 2305, 1638, 2358)(1586, 2306, 1658, 2378)(1588, 2308, 1660, 2380)(1594, 2314, 1668, 2388)(1595, 2315, 1669, 2389)(1596, 2316, 1666, 2386)(1597, 2317, 1671, 2391)(1599, 2319, 1675, 2395)(1600, 2320, 1676, 2396)(1601, 2321, 1673, 2393)(1606, 2326, 1685, 2405)(1608, 2328, 1687, 2407)(1610, 2330, 1689, 2409)(1611, 2331, 1690, 2410)(1613, 2333, 1692, 2412)(1614, 2334, 1694, 2414)(1615, 2335, 1696, 2416)(1616, 2336, 1679, 2399)(1618, 2338, 1691, 2411)(1620, 2340, 1704, 2424)(1621, 2341, 1663, 2383)(1622, 2342, 1662, 2382)(1623, 2343, 1706, 2426)(1624, 2344, 1708, 2428)(1626, 2346, 1711, 2431)(1629, 2349, 1716, 2436)(1631, 2351, 1718, 2438)(1633, 2353, 1688, 2408)(1636, 2356, 1724, 2444)(1637, 2357, 1725, 2445)(1639, 2359, 1727, 2447)(1640, 2360, 1684, 2404)(1641, 2361, 1729, 2449)(1642, 2362, 1730, 2450)(1643, 2363, 1681, 2401)(1645, 2365, 1735, 2455)(1647, 2367, 1674, 2394)(1650, 2370, 1659, 2379)(1652, 2372, 1745, 2465)(1654, 2374, 1747, 2467)(1656, 2376, 1749, 2469)(1657, 2377, 1750, 2470)(1661, 2381, 1756, 2476)(1664, 2384, 1758, 2478)(1665, 2385, 1760, 2480)(1667, 2387, 1763, 2483)(1670, 2390, 1768, 2488)(1672, 2392, 1770, 2490)(1677, 2397, 1776, 2496)(1678, 2398, 1777, 2497)(1680, 2400, 1779, 2499)(1682, 2402, 1781, 2501)(1683, 2403, 1782, 2502)(1686, 2406, 1787, 2507)(1693, 2413, 1797, 2517)(1695, 2415, 1799, 2519)(1697, 2417, 1801, 2521)(1698, 2418, 1802, 2522)(1699, 2419, 1794, 2514)(1700, 2420, 1804, 2524)(1701, 2421, 1774, 2494)(1702, 2422, 1806, 2526)(1703, 2423, 1795, 2515)(1705, 2425, 1811, 2531)(1707, 2427, 1813, 2533)(1709, 2429, 1814, 2534)(1710, 2430, 1815, 2535)(1712, 2432, 1817, 2537)(1713, 2433, 1819, 2539)(1714, 2434, 1821, 2541)(1715, 2435, 1809, 2529)(1717, 2437, 1816, 2536)(1719, 2439, 1829, 2549)(1720, 2440, 1791, 2511)(1721, 2441, 1788, 2508)(1722, 2442, 1753, 2473)(1723, 2443, 1832, 2552)(1726, 2446, 1837, 2557)(1728, 2448, 1838, 2558)(1731, 2451, 1841, 2561)(1732, 2452, 1842, 2562)(1733, 2453, 1840, 2560)(1734, 2454, 1844, 2564)(1736, 2456, 1773, 2493)(1737, 2457, 1848, 2568)(1738, 2458, 1846, 2566)(1739, 2459, 1772, 2492)(1740, 2460, 1852, 2572)(1741, 2461, 1854, 2574)(1742, 2462, 1751, 2471)(1743, 2463, 1755, 2475)(1744, 2464, 1857, 2577)(1746, 2466, 1860, 2580)(1748, 2468, 1847, 2567)(1752, 2472, 1869, 2589)(1754, 2474, 1871, 2591)(1757, 2477, 1876, 2596)(1759, 2479, 1878, 2598)(1761, 2481, 1879, 2599)(1762, 2482, 1880, 2600)(1764, 2484, 1882, 2602)(1765, 2485, 1884, 2604)(1766, 2486, 1886, 2606)(1767, 2487, 1874, 2594)(1769, 2489, 1881, 2601)(1771, 2491, 1894, 2614)(1775, 2495, 1897, 2617)(1778, 2498, 1902, 2622)(1780, 2500, 1903, 2623)(1783, 2503, 1906, 2626)(1784, 2504, 1907, 2627)(1785, 2505, 1905, 2625)(1786, 2506, 1909, 2629)(1789, 2509, 1913, 2633)(1790, 2510, 1911, 2631)(1792, 2512, 1917, 2637)(1793, 2513, 1919, 2639)(1796, 2516, 1922, 2642)(1798, 2518, 1925, 2645)(1800, 2520, 1912, 2632)(1803, 2523, 1933, 2653)(1805, 2525, 1935, 2655)(1807, 2527, 1937, 2657)(1808, 2528, 1938, 2658)(1810, 2530, 1940, 2660)(1812, 2532, 1944, 2664)(1818, 2538, 1900, 2620)(1820, 2540, 1899, 2619)(1822, 2542, 1892, 2612)(1823, 2543, 1890, 2610)(1824, 2544, 1949, 2669)(1825, 2545, 1888, 2608)(1826, 2546, 1896, 2616)(1827, 2547, 1887, 2607)(1828, 2548, 1950, 2670)(1830, 2550, 1926, 2646)(1831, 2551, 1891, 2611)(1833, 2553, 1960, 2680)(1834, 2554, 1885, 2605)(1835, 2555, 1883, 2603)(1836, 2556, 1958, 2678)(1839, 2559, 1968, 2688)(1843, 2563, 1931, 2651)(1845, 2565, 1930, 2650)(1849, 2569, 1927, 2647)(1850, 2570, 1924, 2644)(1851, 2571, 1973, 2693)(1853, 2573, 1974, 2694)(1855, 2575, 1975, 2695)(1856, 2576, 1976, 2696)(1858, 2578, 1978, 2698)(1859, 2579, 1915, 2635)(1861, 2581, 1895, 2615)(1862, 2582, 1914, 2634)(1863, 2583, 1981, 2701)(1864, 2584, 1972, 2692)(1865, 2585, 1910, 2630)(1866, 2586, 1908, 2628)(1867, 2587, 1965, 2685)(1868, 2588, 1988, 2708)(1870, 2590, 1989, 2709)(1872, 2592, 1991, 2711)(1873, 2593, 1992, 2712)(1875, 2595, 1942, 2662)(1877, 2597, 1996, 2716)(1889, 2609, 2001, 2721)(1893, 2613, 2002, 2722)(1898, 2618, 2012, 2732)(1901, 2621, 2010, 2730)(1904, 2624, 1934, 2654)(1916, 2636, 2024, 2744)(1918, 2638, 2025, 2745)(1920, 2640, 2026, 2746)(1921, 2641, 2027, 2747)(1923, 2643, 2029, 2749)(1928, 2648, 2032, 2752)(1929, 2649, 2023, 2743)(1932, 2652, 2017, 2737)(1936, 2656, 2043, 2763)(1939, 2659, 2048, 2768)(1941, 2661, 2049, 2769)(1943, 2663, 2050, 2770)(1945, 2665, 2053, 2773)(1946, 2666, 2051, 2771)(1947, 2667, 2054, 2774)(1948, 2668, 2056, 2776)(1951, 2671, 2059, 2779)(1952, 2672, 2060, 2780)(1953, 2673, 2052, 2772)(1954, 2674, 2061, 2781)(1955, 2675, 2062, 2782)(1956, 2676, 2063, 2783)(1957, 2677, 2064, 2784)(1959, 2679, 2066, 2786)(1961, 2681, 2046, 2766)(1962, 2682, 2045, 2765)(1963, 2683, 2041, 2761)(1964, 2684, 2040, 2760)(1966, 2686, 2070, 2790)(1967, 2687, 2072, 2792)(1969, 2689, 2073, 2793)(1970, 2690, 2074, 2794)(1971, 2691, 2075, 2795)(1977, 2697, 2084, 2804)(1979, 2699, 2082, 2802)(1980, 2700, 2081, 2801)(1982, 2702, 2078, 2798)(1983, 2703, 2077, 2797)(1984, 2704, 2087, 2807)(1985, 2705, 2088, 2808)(1986, 2706, 2089, 2809)(1987, 2707, 2090, 2810)(1990, 2710, 2094, 2814)(1993, 2713, 2098, 2818)(1994, 2714, 2080, 2800)(1995, 2715, 2099, 2819)(1997, 2717, 2102, 2822)(1998, 2718, 2100, 2820)(1999, 2719, 2103, 2823)(2000, 2720, 2105, 2825)(2003, 2723, 2108, 2828)(2004, 2724, 2109, 2829)(2005, 2725, 2101, 2821)(2006, 2726, 2110, 2830)(2007, 2727, 2111, 2831)(2008, 2728, 2112, 2832)(2009, 2729, 2113, 2833)(2011, 2731, 2076, 2796)(2013, 2733, 2097, 2817)(2014, 2734, 2096, 2816)(2015, 2735, 2093, 2813)(2016, 2736, 2092, 2812)(2018, 2738, 2118, 2838)(2019, 2739, 2120, 2840)(2020, 2740, 2042, 2762)(2021, 2741, 2121, 2841)(2022, 2742, 2122, 2842)(2028, 2748, 2047, 2767)(2030, 2750, 2127, 2847)(2031, 2751, 2126, 2846)(2033, 2753, 2124, 2844)(2034, 2754, 2123, 2843)(2035, 2755, 2131, 2851)(2036, 2756, 2132, 2852)(2037, 2757, 2133, 2853)(2038, 2758, 2134, 2854)(2039, 2759, 2128, 2848)(2044, 2764, 2095, 2815)(2055, 2775, 2116, 2836)(2057, 2777, 2114, 2834)(2058, 2778, 2140, 2860)(2065, 2785, 2106, 2826)(2067, 2787, 2115, 2835)(2068, 2788, 2104, 2824)(2069, 2789, 2144, 2864)(2071, 2791, 2130, 2850)(2079, 2799, 2125, 2845)(2083, 2803, 2091, 2811)(2085, 2805, 2129, 2849)(2086, 2806, 2119, 2839)(2107, 2827, 2136, 2856)(2117, 2837, 2146, 2866)(2135, 2855, 2152, 2872)(2137, 2857, 2153, 2873)(2138, 2858, 2157, 2877)(2139, 2859, 2148, 2868)(2141, 2861, 2143, 2863)(2142, 2862, 2150, 2870)(2145, 2865, 2155, 2875)(2147, 2867, 2156, 2876)(2149, 2869, 2154, 2874)(2151, 2871, 2159, 2879)(2158, 2878, 2160, 2880)
	L = (1, 1443)(2, 1445)(3, 1448)(4, 1441)(5, 1452)(6, 1442)(7, 1455)(8, 1450)(9, 1458)(10, 1444)(11, 1461)(12, 1454)(13, 1464)(14, 1446)(15, 1467)(16, 1447)(17, 1470)(18, 1473)(19, 1449)(20, 1475)(21, 1477)(22, 1451)(23, 1480)(24, 1483)(25, 1453)(26, 1485)(27, 1469)(28, 1488)(29, 1456)(30, 1491)(31, 1457)(32, 1494)(33, 1474)(34, 1459)(35, 1499)(36, 1460)(37, 1479)(38, 1502)(39, 1462)(40, 1505)(41, 1463)(42, 1508)(43, 1484)(44, 1465)(45, 1513)(46, 1466)(47, 1515)(48, 1518)(49, 1468)(50, 1520)(51, 1493)(52, 1523)(53, 1471)(54, 1525)(55, 1472)(56, 1528)(57, 1530)(58, 1492)(59, 1500)(60, 1476)(61, 1535)(62, 1538)(63, 1478)(64, 1540)(65, 1507)(66, 1543)(67, 1481)(68, 1545)(69, 1482)(70, 1548)(71, 1550)(72, 1506)(73, 1514)(74, 1486)(75, 1555)(76, 1487)(77, 1558)(78, 1519)(79, 1489)(80, 1563)(81, 1490)(82, 1565)(83, 1568)(84, 1569)(85, 1527)(86, 1572)(87, 1495)(88, 1575)(89, 1496)(90, 1579)(91, 1497)(92, 1498)(93, 1582)(94, 1584)(95, 1586)(96, 1501)(97, 1589)(98, 1539)(99, 1503)(100, 1594)(101, 1504)(102, 1596)(103, 1599)(104, 1600)(105, 1547)(106, 1603)(107, 1509)(108, 1606)(109, 1510)(110, 1610)(111, 1511)(112, 1512)(113, 1613)(114, 1615)(115, 1557)(116, 1618)(117, 1516)(118, 1620)(119, 1517)(120, 1622)(121, 1624)(122, 1556)(123, 1564)(124, 1521)(125, 1629)(126, 1522)(127, 1632)(128, 1532)(129, 1636)(130, 1524)(131, 1638)(132, 1640)(133, 1526)(134, 1642)(135, 1577)(136, 1645)(137, 1529)(138, 1576)(139, 1580)(140, 1531)(141, 1650)(142, 1652)(143, 1533)(144, 1656)(145, 1534)(146, 1588)(147, 1659)(148, 1536)(149, 1661)(150, 1537)(151, 1663)(152, 1665)(153, 1587)(154, 1595)(155, 1541)(156, 1670)(157, 1542)(158, 1673)(159, 1552)(160, 1677)(161, 1544)(162, 1679)(163, 1681)(164, 1546)(165, 1683)(166, 1608)(167, 1686)(168, 1549)(169, 1607)(170, 1611)(171, 1551)(172, 1691)(173, 1693)(174, 1553)(175, 1697)(176, 1554)(177, 1699)(178, 1701)(179, 1702)(180, 1621)(181, 1559)(182, 1705)(183, 1560)(184, 1709)(185, 1561)(186, 1562)(187, 1712)(188, 1714)(189, 1631)(190, 1717)(191, 1566)(192, 1719)(193, 1567)(194, 1721)(195, 1630)(196, 1637)(197, 1570)(198, 1726)(199, 1571)(200, 1641)(201, 1573)(202, 1731)(203, 1574)(204, 1733)(205, 1736)(206, 1737)(207, 1578)(208, 1739)(209, 1741)(210, 1743)(211, 1581)(212, 1654)(213, 1746)(214, 1583)(215, 1653)(216, 1657)(217, 1585)(218, 1751)(219, 1753)(220, 1754)(221, 1662)(222, 1590)(223, 1757)(224, 1591)(225, 1761)(226, 1592)(227, 1593)(228, 1764)(229, 1766)(230, 1672)(231, 1769)(232, 1597)(233, 1771)(234, 1598)(235, 1773)(236, 1671)(237, 1678)(238, 1601)(239, 1778)(240, 1602)(241, 1682)(242, 1604)(243, 1783)(244, 1605)(245, 1785)(246, 1788)(247, 1789)(248, 1609)(249, 1791)(250, 1793)(251, 1795)(252, 1612)(253, 1695)(254, 1798)(255, 1614)(256, 1694)(257, 1698)(258, 1616)(259, 1803)(260, 1617)(261, 1626)(262, 1807)(263, 1619)(264, 1809)(265, 1707)(266, 1812)(267, 1623)(268, 1706)(269, 1710)(270, 1625)(271, 1816)(272, 1818)(273, 1627)(274, 1822)(275, 1628)(276, 1824)(277, 1826)(278, 1827)(279, 1720)(280, 1633)(281, 1830)(282, 1634)(283, 1635)(284, 1833)(285, 1835)(286, 1728)(287, 1708)(288, 1639)(289, 1839)(290, 1727)(291, 1732)(292, 1643)(293, 1843)(294, 1644)(295, 1846)(296, 1647)(297, 1849)(298, 1646)(299, 1851)(300, 1648)(301, 1855)(302, 1649)(303, 1744)(304, 1651)(305, 1858)(306, 1861)(307, 1862)(308, 1655)(309, 1864)(310, 1866)(311, 1868)(312, 1658)(313, 1667)(314, 1872)(315, 1660)(316, 1874)(317, 1759)(318, 1877)(319, 1664)(320, 1758)(321, 1762)(322, 1666)(323, 1881)(324, 1883)(325, 1668)(326, 1887)(327, 1669)(328, 1889)(329, 1891)(330, 1892)(331, 1772)(332, 1674)(333, 1895)(334, 1675)(335, 1676)(336, 1898)(337, 1900)(338, 1780)(339, 1760)(340, 1680)(341, 1904)(342, 1779)(343, 1784)(344, 1684)(345, 1908)(346, 1685)(347, 1911)(348, 1688)(349, 1914)(350, 1687)(351, 1916)(352, 1689)(353, 1920)(354, 1690)(355, 1796)(356, 1692)(357, 1923)(358, 1926)(359, 1927)(360, 1696)(361, 1929)(362, 1931)(363, 1805)(364, 1934)(365, 1700)(366, 1804)(367, 1808)(368, 1703)(369, 1939)(370, 1704)(371, 1942)(372, 1730)(373, 1945)(374, 1838)(375, 1948)(376, 1950)(377, 1711)(378, 1820)(379, 1952)(380, 1713)(381, 1819)(382, 1823)(383, 1715)(384, 1954)(385, 1716)(386, 1723)(387, 1956)(388, 1718)(389, 1958)(390, 1831)(391, 1722)(392, 1860)(393, 1961)(394, 1724)(395, 1963)(396, 1725)(397, 1965)(398, 1967)(399, 1969)(400, 1729)(401, 1953)(402, 1936)(403, 1845)(404, 1946)(405, 1734)(406, 1971)(407, 1735)(408, 1844)(409, 1850)(410, 1738)(411, 1853)(412, 1943)(413, 1740)(414, 1852)(415, 1856)(416, 1742)(417, 1977)(418, 1979)(419, 1745)(420, 1981)(421, 1748)(422, 1982)(423, 1747)(424, 1984)(425, 1749)(426, 1986)(427, 1750)(428, 1870)(429, 1968)(430, 1752)(431, 1869)(432, 1873)(433, 1755)(434, 1993)(435, 1756)(436, 1940)(437, 1782)(438, 1997)(439, 1903)(440, 2000)(441, 2002)(442, 1763)(443, 1885)(444, 2004)(445, 1765)(446, 1884)(447, 1888)(448, 1767)(449, 2006)(450, 1768)(451, 1775)(452, 2008)(453, 1770)(454, 2010)(455, 1896)(456, 1774)(457, 1925)(458, 2013)(459, 1776)(460, 2015)(461, 1777)(462, 2017)(463, 2019)(464, 2020)(465, 1781)(466, 2005)(467, 1990)(468, 1910)(469, 1998)(470, 1786)(471, 2022)(472, 1787)(473, 1909)(474, 1915)(475, 1790)(476, 1918)(477, 1995)(478, 1792)(479, 1917)(480, 1921)(481, 1794)(482, 2028)(483, 2030)(484, 1797)(485, 2032)(486, 1800)(487, 2033)(488, 1799)(489, 2035)(490, 1801)(491, 2037)(492, 1802)(493, 2039)(494, 1842)(495, 2041)(496, 1806)(497, 2044)(498, 2046)(499, 1941)(500, 1919)(501, 1810)(502, 1854)(503, 1811)(504, 2051)(505, 1848)(506, 1813)(507, 1814)(508, 2057)(509, 1815)(510, 1951)(511, 1817)(512, 1841)(513, 1821)(514, 1955)(515, 1825)(516, 1957)(517, 1828)(518, 2065)(519, 1829)(520, 1832)(521, 1962)(522, 1834)(523, 1964)(524, 1836)(525, 2069)(526, 1837)(527, 2055)(528, 1907)(529, 1970)(530, 1840)(531, 1972)(532, 1847)(533, 2076)(534, 2078)(535, 2080)(536, 2082)(537, 2085)(538, 1857)(539, 1980)(540, 1859)(541, 2068)(542, 1983)(543, 1863)(544, 1985)(545, 1865)(546, 1987)(547, 1867)(548, 2091)(549, 2093)(550, 1871)(551, 2095)(552, 2097)(553, 1994)(554, 1875)(555, 1876)(556, 2100)(557, 1913)(558, 1878)(559, 1879)(560, 2106)(561, 1880)(562, 2003)(563, 1882)(564, 1906)(565, 1886)(566, 2007)(567, 1890)(568, 2009)(569, 1893)(570, 2114)(571, 1894)(572, 1897)(573, 2014)(574, 1899)(575, 2016)(576, 1901)(577, 2117)(578, 1902)(579, 2104)(580, 2021)(581, 1905)(582, 2023)(583, 1912)(584, 2066)(585, 2124)(586, 2049)(587, 2127)(588, 2129)(589, 1922)(590, 2031)(591, 1924)(592, 2116)(593, 2034)(594, 1928)(595, 2036)(596, 1930)(597, 2038)(598, 1932)(599, 2135)(600, 1933)(601, 2108)(602, 1935)(603, 2060)(604, 2094)(605, 1937)(606, 2120)(607, 1938)(608, 2111)(609, 2139)(610, 2125)(611, 2132)(612, 1944)(613, 2050)(614, 2123)(615, 1947)(616, 2054)(617, 2058)(618, 1949)(619, 2141)(620, 2096)(621, 2142)(622, 2089)(623, 2101)(624, 2087)(625, 2067)(626, 2056)(627, 1959)(628, 1960)(629, 2071)(630, 2084)(631, 1966)(632, 2070)(633, 1989)(634, 2138)(635, 2126)(636, 2105)(637, 1973)(638, 2102)(639, 1974)(640, 2145)(641, 1975)(642, 2146)(643, 1976)(644, 1992)(645, 2086)(646, 1978)(647, 2148)(648, 2063)(649, 2121)(650, 2061)(651, 2150)(652, 1988)(653, 2059)(654, 2109)(655, 2043)(656, 1991)(657, 2072)(658, 2062)(659, 2079)(660, 2088)(661, 1996)(662, 2099)(663, 2077)(664, 1999)(665, 2103)(666, 2107)(667, 2001)(668, 2137)(669, 2045)(670, 2152)(671, 2133)(672, 2052)(673, 2131)(674, 2115)(675, 2011)(676, 2012)(677, 2119)(678, 2047)(679, 2018)(680, 2118)(681, 2151)(682, 2081)(683, 2024)(684, 2053)(685, 2025)(686, 2026)(687, 2144)(688, 2027)(689, 2130)(690, 2029)(691, 2155)(692, 2112)(693, 2074)(694, 2110)(695, 2136)(696, 2040)(697, 2042)(698, 2048)(699, 2075)(700, 2092)(701, 2073)(702, 2158)(703, 2064)(704, 2154)(705, 2122)(706, 2147)(707, 2083)(708, 2157)(709, 2090)(710, 2140)(711, 2098)(712, 2160)(713, 2113)(714, 2128)(715, 2159)(716, 2134)(717, 2143)(718, 2149)(719, 2153)(720, 2156)(721, 2161)(722, 2162)(723, 2163)(724, 2164)(725, 2165)(726, 2166)(727, 2167)(728, 2168)(729, 2169)(730, 2170)(731, 2171)(732, 2172)(733, 2173)(734, 2174)(735, 2175)(736, 2176)(737, 2177)(738, 2178)(739, 2179)(740, 2180)(741, 2181)(742, 2182)(743, 2183)(744, 2184)(745, 2185)(746, 2186)(747, 2187)(748, 2188)(749, 2189)(750, 2190)(751, 2191)(752, 2192)(753, 2193)(754, 2194)(755, 2195)(756, 2196)(757, 2197)(758, 2198)(759, 2199)(760, 2200)(761, 2201)(762, 2202)(763, 2203)(764, 2204)(765, 2205)(766, 2206)(767, 2207)(768, 2208)(769, 2209)(770, 2210)(771, 2211)(772, 2212)(773, 2213)(774, 2214)(775, 2215)(776, 2216)(777, 2217)(778, 2218)(779, 2219)(780, 2220)(781, 2221)(782, 2222)(783, 2223)(784, 2224)(785, 2225)(786, 2226)(787, 2227)(788, 2228)(789, 2229)(790, 2230)(791, 2231)(792, 2232)(793, 2233)(794, 2234)(795, 2235)(796, 2236)(797, 2237)(798, 2238)(799, 2239)(800, 2240)(801, 2241)(802, 2242)(803, 2243)(804, 2244)(805, 2245)(806, 2246)(807, 2247)(808, 2248)(809, 2249)(810, 2250)(811, 2251)(812, 2252)(813, 2253)(814, 2254)(815, 2255)(816, 2256)(817, 2257)(818, 2258)(819, 2259)(820, 2260)(821, 2261)(822, 2262)(823, 2263)(824, 2264)(825, 2265)(826, 2266)(827, 2267)(828, 2268)(829, 2269)(830, 2270)(831, 2271)(832, 2272)(833, 2273)(834, 2274)(835, 2275)(836, 2276)(837, 2277)(838, 2278)(839, 2279)(840, 2280)(841, 2281)(842, 2282)(843, 2283)(844, 2284)(845, 2285)(846, 2286)(847, 2287)(848, 2288)(849, 2289)(850, 2290)(851, 2291)(852, 2292)(853, 2293)(854, 2294)(855, 2295)(856, 2296)(857, 2297)(858, 2298)(859, 2299)(860, 2300)(861, 2301)(862, 2302)(863, 2303)(864, 2304)(865, 2305)(866, 2306)(867, 2307)(868, 2308)(869, 2309)(870, 2310)(871, 2311)(872, 2312)(873, 2313)(874, 2314)(875, 2315)(876, 2316)(877, 2317)(878, 2318)(879, 2319)(880, 2320)(881, 2321)(882, 2322)(883, 2323)(884, 2324)(885, 2325)(886, 2326)(887, 2327)(888, 2328)(889, 2329)(890, 2330)(891, 2331)(892, 2332)(893, 2333)(894, 2334)(895, 2335)(896, 2336)(897, 2337)(898, 2338)(899, 2339)(900, 2340)(901, 2341)(902, 2342)(903, 2343)(904, 2344)(905, 2345)(906, 2346)(907, 2347)(908, 2348)(909, 2349)(910, 2350)(911, 2351)(912, 2352)(913, 2353)(914, 2354)(915, 2355)(916, 2356)(917, 2357)(918, 2358)(919, 2359)(920, 2360)(921, 2361)(922, 2362)(923, 2363)(924, 2364)(925, 2365)(926, 2366)(927, 2367)(928, 2368)(929, 2369)(930, 2370)(931, 2371)(932, 2372)(933, 2373)(934, 2374)(935, 2375)(936, 2376)(937, 2377)(938, 2378)(939, 2379)(940, 2380)(941, 2381)(942, 2382)(943, 2383)(944, 2384)(945, 2385)(946, 2386)(947, 2387)(948, 2388)(949, 2389)(950, 2390)(951, 2391)(952, 2392)(953, 2393)(954, 2394)(955, 2395)(956, 2396)(957, 2397)(958, 2398)(959, 2399)(960, 2400)(961, 2401)(962, 2402)(963, 2403)(964, 2404)(965, 2405)(966, 2406)(967, 2407)(968, 2408)(969, 2409)(970, 2410)(971, 2411)(972, 2412)(973, 2413)(974, 2414)(975, 2415)(976, 2416)(977, 2417)(978, 2418)(979, 2419)(980, 2420)(981, 2421)(982, 2422)(983, 2423)(984, 2424)(985, 2425)(986, 2426)(987, 2427)(988, 2428)(989, 2429)(990, 2430)(991, 2431)(992, 2432)(993, 2433)(994, 2434)(995, 2435)(996, 2436)(997, 2437)(998, 2438)(999, 2439)(1000, 2440)(1001, 2441)(1002, 2442)(1003, 2443)(1004, 2444)(1005, 2445)(1006, 2446)(1007, 2447)(1008, 2448)(1009, 2449)(1010, 2450)(1011, 2451)(1012, 2452)(1013, 2453)(1014, 2454)(1015, 2455)(1016, 2456)(1017, 2457)(1018, 2458)(1019, 2459)(1020, 2460)(1021, 2461)(1022, 2462)(1023, 2463)(1024, 2464)(1025, 2465)(1026, 2466)(1027, 2467)(1028, 2468)(1029, 2469)(1030, 2470)(1031, 2471)(1032, 2472)(1033, 2473)(1034, 2474)(1035, 2475)(1036, 2476)(1037, 2477)(1038, 2478)(1039, 2479)(1040, 2480)(1041, 2481)(1042, 2482)(1043, 2483)(1044, 2484)(1045, 2485)(1046, 2486)(1047, 2487)(1048, 2488)(1049, 2489)(1050, 2490)(1051, 2491)(1052, 2492)(1053, 2493)(1054, 2494)(1055, 2495)(1056, 2496)(1057, 2497)(1058, 2498)(1059, 2499)(1060, 2500)(1061, 2501)(1062, 2502)(1063, 2503)(1064, 2504)(1065, 2505)(1066, 2506)(1067, 2507)(1068, 2508)(1069, 2509)(1070, 2510)(1071, 2511)(1072, 2512)(1073, 2513)(1074, 2514)(1075, 2515)(1076, 2516)(1077, 2517)(1078, 2518)(1079, 2519)(1080, 2520)(1081, 2521)(1082, 2522)(1083, 2523)(1084, 2524)(1085, 2525)(1086, 2526)(1087, 2527)(1088, 2528)(1089, 2529)(1090, 2530)(1091, 2531)(1092, 2532)(1093, 2533)(1094, 2534)(1095, 2535)(1096, 2536)(1097, 2537)(1098, 2538)(1099, 2539)(1100, 2540)(1101, 2541)(1102, 2542)(1103, 2543)(1104, 2544)(1105, 2545)(1106, 2546)(1107, 2547)(1108, 2548)(1109, 2549)(1110, 2550)(1111, 2551)(1112, 2552)(1113, 2553)(1114, 2554)(1115, 2555)(1116, 2556)(1117, 2557)(1118, 2558)(1119, 2559)(1120, 2560)(1121, 2561)(1122, 2562)(1123, 2563)(1124, 2564)(1125, 2565)(1126, 2566)(1127, 2567)(1128, 2568)(1129, 2569)(1130, 2570)(1131, 2571)(1132, 2572)(1133, 2573)(1134, 2574)(1135, 2575)(1136, 2576)(1137, 2577)(1138, 2578)(1139, 2579)(1140, 2580)(1141, 2581)(1142, 2582)(1143, 2583)(1144, 2584)(1145, 2585)(1146, 2586)(1147, 2587)(1148, 2588)(1149, 2589)(1150, 2590)(1151, 2591)(1152, 2592)(1153, 2593)(1154, 2594)(1155, 2595)(1156, 2596)(1157, 2597)(1158, 2598)(1159, 2599)(1160, 2600)(1161, 2601)(1162, 2602)(1163, 2603)(1164, 2604)(1165, 2605)(1166, 2606)(1167, 2607)(1168, 2608)(1169, 2609)(1170, 2610)(1171, 2611)(1172, 2612)(1173, 2613)(1174, 2614)(1175, 2615)(1176, 2616)(1177, 2617)(1178, 2618)(1179, 2619)(1180, 2620)(1181, 2621)(1182, 2622)(1183, 2623)(1184, 2624)(1185, 2625)(1186, 2626)(1187, 2627)(1188, 2628)(1189, 2629)(1190, 2630)(1191, 2631)(1192, 2632)(1193, 2633)(1194, 2634)(1195, 2635)(1196, 2636)(1197, 2637)(1198, 2638)(1199, 2639)(1200, 2640)(1201, 2641)(1202, 2642)(1203, 2643)(1204, 2644)(1205, 2645)(1206, 2646)(1207, 2647)(1208, 2648)(1209, 2649)(1210, 2650)(1211, 2651)(1212, 2652)(1213, 2653)(1214, 2654)(1215, 2655)(1216, 2656)(1217, 2657)(1218, 2658)(1219, 2659)(1220, 2660)(1221, 2661)(1222, 2662)(1223, 2663)(1224, 2664)(1225, 2665)(1226, 2666)(1227, 2667)(1228, 2668)(1229, 2669)(1230, 2670)(1231, 2671)(1232, 2672)(1233, 2673)(1234, 2674)(1235, 2675)(1236, 2676)(1237, 2677)(1238, 2678)(1239, 2679)(1240, 2680)(1241, 2681)(1242, 2682)(1243, 2683)(1244, 2684)(1245, 2685)(1246, 2686)(1247, 2687)(1248, 2688)(1249, 2689)(1250, 2690)(1251, 2691)(1252, 2692)(1253, 2693)(1254, 2694)(1255, 2695)(1256, 2696)(1257, 2697)(1258, 2698)(1259, 2699)(1260, 2700)(1261, 2701)(1262, 2702)(1263, 2703)(1264, 2704)(1265, 2705)(1266, 2706)(1267, 2707)(1268, 2708)(1269, 2709)(1270, 2710)(1271, 2711)(1272, 2712)(1273, 2713)(1274, 2714)(1275, 2715)(1276, 2716)(1277, 2717)(1278, 2718)(1279, 2719)(1280, 2720)(1281, 2721)(1282, 2722)(1283, 2723)(1284, 2724)(1285, 2725)(1286, 2726)(1287, 2727)(1288, 2728)(1289, 2729)(1290, 2730)(1291, 2731)(1292, 2732)(1293, 2733)(1294, 2734)(1295, 2735)(1296, 2736)(1297, 2737)(1298, 2738)(1299, 2739)(1300, 2740)(1301, 2741)(1302, 2742)(1303, 2743)(1304, 2744)(1305, 2745)(1306, 2746)(1307, 2747)(1308, 2748)(1309, 2749)(1310, 2750)(1311, 2751)(1312, 2752)(1313, 2753)(1314, 2754)(1315, 2755)(1316, 2756)(1317, 2757)(1318, 2758)(1319, 2759)(1320, 2760)(1321, 2761)(1322, 2762)(1323, 2763)(1324, 2764)(1325, 2765)(1326, 2766)(1327, 2767)(1328, 2768)(1329, 2769)(1330, 2770)(1331, 2771)(1332, 2772)(1333, 2773)(1334, 2774)(1335, 2775)(1336, 2776)(1337, 2777)(1338, 2778)(1339, 2779)(1340, 2780)(1341, 2781)(1342, 2782)(1343, 2783)(1344, 2784)(1345, 2785)(1346, 2786)(1347, 2787)(1348, 2788)(1349, 2789)(1350, 2790)(1351, 2791)(1352, 2792)(1353, 2793)(1354, 2794)(1355, 2795)(1356, 2796)(1357, 2797)(1358, 2798)(1359, 2799)(1360, 2800)(1361, 2801)(1362, 2802)(1363, 2803)(1364, 2804)(1365, 2805)(1366, 2806)(1367, 2807)(1368, 2808)(1369, 2809)(1370, 2810)(1371, 2811)(1372, 2812)(1373, 2813)(1374, 2814)(1375, 2815)(1376, 2816)(1377, 2817)(1378, 2818)(1379, 2819)(1380, 2820)(1381, 2821)(1382, 2822)(1383, 2823)(1384, 2824)(1385, 2825)(1386, 2826)(1387, 2827)(1388, 2828)(1389, 2829)(1390, 2830)(1391, 2831)(1392, 2832)(1393, 2833)(1394, 2834)(1395, 2835)(1396, 2836)(1397, 2837)(1398, 2838)(1399, 2839)(1400, 2840)(1401, 2841)(1402, 2842)(1403, 2843)(1404, 2844)(1405, 2845)(1406, 2846)(1407, 2847)(1408, 2848)(1409, 2849)(1410, 2850)(1411, 2851)(1412, 2852)(1413, 2853)(1414, 2854)(1415, 2855)(1416, 2856)(1417, 2857)(1418, 2858)(1419, 2859)(1420, 2860)(1421, 2861)(1422, 2862)(1423, 2863)(1424, 2864)(1425, 2865)(1426, 2866)(1427, 2867)(1428, 2868)(1429, 2869)(1430, 2870)(1431, 2871)(1432, 2872)(1433, 2873)(1434, 2874)(1435, 2875)(1436, 2876)(1437, 2877)(1438, 2878)(1439, 2879)(1440, 2880)
	local type(s) :: { ( 8, 10 ), ( 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.2438
Graph:: simple bipartite
	v = 1080 e = 1440 f = 324
	degree seq :: [ 2^720, 4^360 ]

E19.2440 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = C2 x A6 (small group id <720, 766>)
Aut   = $<1440, 5843>$ (small group id <1440, 5843>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3^4, (R * Y3)^2, Y1^5, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1^-1, (Y1 * Y3)^4, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^2 * Y3^-1, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^2 * Y3^-1 ]
Map:: polytopal
	R = (1, 721, 2, 722, 5, 725, 10, 730, 4, 724)(3, 723, 7, 727, 14, 734, 17, 737, 8, 728)(6, 726, 12, 732, 23, 743, 26, 746, 13, 733)(9, 729, 18, 738, 32, 752, 34, 754, 19, 739)(11, 731, 21, 741, 37, 757, 40, 760, 22, 742)(15, 735, 28, 748, 47, 767, 49, 769, 29, 749)(16, 736, 30, 750, 50, 770, 42, 762, 24, 744)(20, 740, 35, 755, 58, 778, 60, 780, 36, 756)(25, 745, 43, 763, 68, 788, 62, 782, 38, 758)(27, 747, 45, 765, 72, 792, 75, 795, 46, 766)(31, 751, 52, 772, 82, 802, 84, 804, 53, 773)(33, 753, 55, 775, 87, 807, 89, 809, 56, 776)(39, 759, 63, 783, 98, 818, 93, 813, 59, 779)(41, 761, 65, 785, 102, 822, 105, 825, 66, 786)(44, 764, 70, 790, 110, 830, 112, 832, 71, 791)(48, 768, 77, 797, 119, 839, 114, 834, 73, 793)(51, 771, 80, 800, 125, 845, 127, 847, 81, 801)(54, 774, 85, 805, 131, 851, 134, 854, 86, 806)(57, 777, 90, 810, 138, 858, 140, 860, 91, 811)(61, 781, 95, 815, 146, 866, 149, 869, 96, 816)(64, 784, 100, 820, 154, 874, 156, 876, 101, 821)(67, 787, 106, 826, 161, 881, 158, 878, 103, 823)(69, 789, 108, 828, 165, 885, 167, 887, 109, 829)(74, 794, 115, 835, 174, 894, 129, 849, 83, 803)(76, 796, 117, 837, 178, 898, 180, 900, 118, 838)(78, 798, 121, 841, 183, 903, 185, 905, 122, 842)(79, 799, 123, 843, 186, 906, 189, 909, 124, 844)(88, 808, 136, 856, 204, 924, 199, 919, 132, 852)(92, 812, 141, 861, 210, 930, 213, 933, 142, 862)(94, 814, 144, 864, 215, 935, 217, 937, 145, 865)(97, 817, 150, 870, 222, 942, 219, 939, 147, 867)(99, 819, 152, 872, 226, 946, 228, 948, 153, 873)(104, 824, 159, 879, 235, 955, 169, 889, 111, 831)(107, 827, 163, 883, 240, 960, 243, 963, 164, 884)(113, 833, 171, 891, 251, 971, 254, 974, 172, 892)(116, 836, 176, 896, 259, 979, 261, 981, 177, 897)(120, 840, 182, 902, 266, 986, 241, 961, 166, 886)(126, 846, 191, 911, 276, 996, 271, 991, 187, 907)(128, 848, 193, 913, 279, 999, 282, 1002, 194, 914)(130, 850, 196, 916, 283, 1003, 285, 1005, 197, 917)(133, 853, 200, 920, 289, 1009, 208, 928, 139, 859)(135, 855, 202, 922, 293, 1013, 295, 1015, 203, 923)(137, 857, 205, 925, 296, 1016, 298, 1018, 206, 926)(143, 863, 214, 934, 307, 1027, 304, 1024, 211, 931)(148, 868, 220, 940, 314, 1034, 230, 950, 155, 875)(151, 871, 224, 944, 319, 1039, 322, 1042, 225, 945)(157, 877, 232, 952, 330, 1050, 333, 1053, 233, 953)(160, 880, 237, 957, 337, 1057, 339, 1059, 238, 958)(162, 882, 188, 908, 272, 992, 320, 1040, 227, 947)(168, 888, 246, 966, 347, 1067, 350, 1070, 247, 967)(170, 890, 249, 969, 351, 1071, 353, 1073, 250, 970)(173, 893, 255, 975, 358, 1078, 355, 1075, 252, 972)(175, 895, 257, 977, 361, 1081, 362, 1082, 258, 978)(179, 899, 263, 983, 321, 1041, 268, 988, 184, 904)(181, 901, 245, 965, 346, 1066, 371, 1091, 265, 985)(190, 910, 274, 994, 384, 1104, 386, 1106, 275, 995)(192, 912, 277, 997, 387, 1107, 389, 1109, 278, 998)(195, 915, 236, 956, 336, 1056, 391, 1111, 280, 1000)(198, 918, 286, 1006, 397, 1117, 400, 1120, 287, 1007)(201, 921, 291, 1011, 404, 1124, 406, 1126, 292, 1012)(207, 927, 299, 1019, 411, 1131, 413, 1133, 300, 1020)(209, 929, 301, 1021, 414, 1134, 416, 1136, 302, 1022)(212, 932, 305, 1025, 420, 1140, 309, 1029, 216, 936)(218, 938, 311, 1031, 428, 1148, 431, 1151, 312, 1032)(221, 941, 316, 1036, 435, 1155, 437, 1157, 317, 1037)(223, 943, 242, 962, 342, 1062, 297, 1017, 294, 1014)(229, 949, 325, 1045, 444, 1164, 447, 1167, 326, 1046)(231, 951, 328, 1048, 448, 1168, 450, 1170, 329, 1049)(234, 954, 334, 1054, 455, 1175, 452, 1172, 331, 1051)(239, 959, 324, 1044, 443, 1163, 461, 1181, 340, 1060)(244, 964, 344, 1064, 467, 1187, 469, 1189, 345, 1065)(248, 968, 315, 1035, 434, 1154, 472, 1192, 348, 1068)(253, 973, 356, 1076, 440, 1160, 364, 1084, 260, 980)(256, 976, 360, 1080, 483, 1203, 433, 1153, 335, 1055)(262, 982, 366, 1086, 488, 1208, 490, 1210, 367, 1087)(264, 984, 368, 1088, 491, 1211, 493, 1213, 369, 1089)(267, 987, 373, 1093, 449, 1169, 446, 1166, 374, 1094)(269, 989, 376, 1096, 436, 1156, 430, 1150, 377, 1097)(270, 990, 378, 1098, 501, 1221, 504, 1224, 379, 1099)(273, 993, 382, 1102, 508, 1228, 510, 1230, 383, 1103)(281, 1001, 392, 1112, 439, 1159, 395, 1115, 284, 1004)(288, 1008, 401, 1121, 526, 1246, 525, 1245, 398, 1118)(290, 1010, 402, 1122, 528, 1248, 529, 1249, 403, 1123)(303, 1023, 417, 1137, 537, 1257, 539, 1259, 418, 1138)(306, 1026, 422, 1142, 542, 1262, 543, 1263, 423, 1143)(308, 1028, 424, 1144, 544, 1264, 545, 1265, 425, 1145)(310, 1030, 426, 1146, 546, 1266, 547, 1267, 427, 1147)(313, 1033, 432, 1152, 551, 1271, 549, 1269, 429, 1149)(318, 1038, 408, 1128, 532, 1252, 556, 1276, 438, 1158)(323, 1043, 441, 1161, 557, 1277, 559, 1279, 442, 1162)(327, 1047, 421, 1141, 541, 1261, 562, 1282, 445, 1165)(332, 1052, 453, 1173, 410, 1130, 458, 1178, 338, 1058)(341, 1061, 462, 1182, 415, 1135, 412, 1132, 463, 1183)(343, 1063, 465, 1185, 405, 1125, 399, 1119, 466, 1186)(349, 1069, 473, 1193, 409, 1129, 476, 1196, 352, 1072)(354, 1074, 478, 1198, 587, 1307, 586, 1306, 477, 1197)(357, 1077, 475, 1195, 585, 1305, 591, 1311, 481, 1201)(359, 1079, 370, 1090, 494, 1214, 388, 1108, 385, 1105)(363, 1083, 485, 1205, 595, 1315, 584, 1304, 474, 1194)(365, 1085, 471, 1191, 581, 1301, 597, 1317, 487, 1207)(372, 1092, 496, 1216, 606, 1326, 607, 1327, 497, 1217)(375, 1095, 480, 1200, 590, 1310, 608, 1328, 498, 1218)(380, 1100, 505, 1225, 612, 1332, 611, 1331, 502, 1222)(381, 1101, 506, 1226, 613, 1333, 614, 1334, 507, 1227)(390, 1110, 515, 1235, 618, 1338, 620, 1340, 516, 1236)(393, 1113, 519, 1239, 623, 1343, 624, 1344, 520, 1240)(394, 1114, 521, 1241, 625, 1345, 626, 1346, 522, 1242)(396, 1116, 523, 1243, 627, 1347, 628, 1348, 524, 1244)(407, 1127, 530, 1250, 632, 1352, 634, 1354, 531, 1251)(419, 1139, 540, 1260, 645, 1365, 644, 1364, 538, 1258)(451, 1171, 566, 1286, 666, 1386, 665, 1385, 565, 1285)(454, 1174, 564, 1284, 664, 1384, 669, 1389, 568, 1288)(456, 1176, 460, 1180, 573, 1293, 470, 1190, 468, 1188)(457, 1177, 570, 1290, 671, 1391, 663, 1383, 563, 1283)(459, 1179, 561, 1281, 661, 1381, 673, 1393, 572, 1292)(464, 1184, 576, 1296, 677, 1397, 678, 1398, 577, 1297)(479, 1199, 589, 1309, 659, 1379, 686, 1406, 588, 1308)(482, 1202, 512, 1232, 617, 1337, 662, 1382, 592, 1312)(484, 1204, 593, 1313, 654, 1374, 660, 1380, 594, 1314)(486, 1206, 518, 1238, 622, 1342, 658, 1378, 596, 1316)(489, 1209, 527, 1247, 514, 1234, 601, 1321, 492, 1212)(495, 1215, 604, 1324, 509, 1229, 503, 1223, 605, 1325)(499, 1219, 609, 1329, 513, 1233, 610, 1330, 500, 1220)(511, 1231, 615, 1335, 697, 1417, 698, 1418, 616, 1336)(517, 1237, 621, 1341, 700, 1420, 699, 1419, 619, 1339)(533, 1253, 636, 1356, 687, 1407, 689, 1409, 637, 1357)(534, 1254, 638, 1358, 694, 1414, 674, 1394, 639, 1359)(535, 1255, 640, 1360, 705, 1425, 696, 1416, 641, 1361)(536, 1256, 642, 1362, 706, 1426, 707, 1427, 643, 1363)(548, 1268, 651, 1371, 710, 1430, 709, 1429, 650, 1370)(550, 1270, 649, 1369, 695, 1415, 712, 1432, 653, 1373)(552, 1272, 555, 1275, 657, 1377, 560, 1280, 558, 1278)(553, 1273, 655, 1375, 603, 1323, 693, 1413, 648, 1368)(554, 1274, 647, 1367, 708, 1428, 713, 1433, 656, 1376)(567, 1287, 668, 1388, 704, 1424, 715, 1435, 667, 1387)(569, 1289, 580, 1300, 681, 1401, 631, 1351, 670, 1390)(571, 1291, 583, 1303, 684, 1404, 600, 1320, 672, 1392)(574, 1294, 675, 1395, 578, 1298, 575, 1295, 676, 1396)(579, 1299, 679, 1399, 702, 1422, 629, 1349, 680, 1400)(582, 1302, 683, 1403, 630, 1350, 599, 1319, 682, 1402)(598, 1318, 692, 1412, 711, 1431, 652, 1372, 691, 1411)(602, 1322, 690, 1410, 635, 1355, 633, 1353, 646, 1366)(685, 1405, 714, 1434, 719, 1439, 718, 1438, 703, 1423)(688, 1408, 701, 1421, 717, 1437, 720, 1440, 716, 1436)(1441, 2161)(1442, 2162)(1443, 2163)(1444, 2164)(1445, 2165)(1446, 2166)(1447, 2167)(1448, 2168)(1449, 2169)(1450, 2170)(1451, 2171)(1452, 2172)(1453, 2173)(1454, 2174)(1455, 2175)(1456, 2176)(1457, 2177)(1458, 2178)(1459, 2179)(1460, 2180)(1461, 2181)(1462, 2182)(1463, 2183)(1464, 2184)(1465, 2185)(1466, 2186)(1467, 2187)(1468, 2188)(1469, 2189)(1470, 2190)(1471, 2191)(1472, 2192)(1473, 2193)(1474, 2194)(1475, 2195)(1476, 2196)(1477, 2197)(1478, 2198)(1479, 2199)(1480, 2200)(1481, 2201)(1482, 2202)(1483, 2203)(1484, 2204)(1485, 2205)(1486, 2206)(1487, 2207)(1488, 2208)(1489, 2209)(1490, 2210)(1491, 2211)(1492, 2212)(1493, 2213)(1494, 2214)(1495, 2215)(1496, 2216)(1497, 2217)(1498, 2218)(1499, 2219)(1500, 2220)(1501, 2221)(1502, 2222)(1503, 2223)(1504, 2224)(1505, 2225)(1506, 2226)(1507, 2227)(1508, 2228)(1509, 2229)(1510, 2230)(1511, 2231)(1512, 2232)(1513, 2233)(1514, 2234)(1515, 2235)(1516, 2236)(1517, 2237)(1518, 2238)(1519, 2239)(1520, 2240)(1521, 2241)(1522, 2242)(1523, 2243)(1524, 2244)(1525, 2245)(1526, 2246)(1527, 2247)(1528, 2248)(1529, 2249)(1530, 2250)(1531, 2251)(1532, 2252)(1533, 2253)(1534, 2254)(1535, 2255)(1536, 2256)(1537, 2257)(1538, 2258)(1539, 2259)(1540, 2260)(1541, 2261)(1542, 2262)(1543, 2263)(1544, 2264)(1545, 2265)(1546, 2266)(1547, 2267)(1548, 2268)(1549, 2269)(1550, 2270)(1551, 2271)(1552, 2272)(1553, 2273)(1554, 2274)(1555, 2275)(1556, 2276)(1557, 2277)(1558, 2278)(1559, 2279)(1560, 2280)(1561, 2281)(1562, 2282)(1563, 2283)(1564, 2284)(1565, 2285)(1566, 2286)(1567, 2287)(1568, 2288)(1569, 2289)(1570, 2290)(1571, 2291)(1572, 2292)(1573, 2293)(1574, 2294)(1575, 2295)(1576, 2296)(1577, 2297)(1578, 2298)(1579, 2299)(1580, 2300)(1581, 2301)(1582, 2302)(1583, 2303)(1584, 2304)(1585, 2305)(1586, 2306)(1587, 2307)(1588, 2308)(1589, 2309)(1590, 2310)(1591, 2311)(1592, 2312)(1593, 2313)(1594, 2314)(1595, 2315)(1596, 2316)(1597, 2317)(1598, 2318)(1599, 2319)(1600, 2320)(1601, 2321)(1602, 2322)(1603, 2323)(1604, 2324)(1605, 2325)(1606, 2326)(1607, 2327)(1608, 2328)(1609, 2329)(1610, 2330)(1611, 2331)(1612, 2332)(1613, 2333)(1614, 2334)(1615, 2335)(1616, 2336)(1617, 2337)(1618, 2338)(1619, 2339)(1620, 2340)(1621, 2341)(1622, 2342)(1623, 2343)(1624, 2344)(1625, 2345)(1626, 2346)(1627, 2347)(1628, 2348)(1629, 2349)(1630, 2350)(1631, 2351)(1632, 2352)(1633, 2353)(1634, 2354)(1635, 2355)(1636, 2356)(1637, 2357)(1638, 2358)(1639, 2359)(1640, 2360)(1641, 2361)(1642, 2362)(1643, 2363)(1644, 2364)(1645, 2365)(1646, 2366)(1647, 2367)(1648, 2368)(1649, 2369)(1650, 2370)(1651, 2371)(1652, 2372)(1653, 2373)(1654, 2374)(1655, 2375)(1656, 2376)(1657, 2377)(1658, 2378)(1659, 2379)(1660, 2380)(1661, 2381)(1662, 2382)(1663, 2383)(1664, 2384)(1665, 2385)(1666, 2386)(1667, 2387)(1668, 2388)(1669, 2389)(1670, 2390)(1671, 2391)(1672, 2392)(1673, 2393)(1674, 2394)(1675, 2395)(1676, 2396)(1677, 2397)(1678, 2398)(1679, 2399)(1680, 2400)(1681, 2401)(1682, 2402)(1683, 2403)(1684, 2404)(1685, 2405)(1686, 2406)(1687, 2407)(1688, 2408)(1689, 2409)(1690, 2410)(1691, 2411)(1692, 2412)(1693, 2413)(1694, 2414)(1695, 2415)(1696, 2416)(1697, 2417)(1698, 2418)(1699, 2419)(1700, 2420)(1701, 2421)(1702, 2422)(1703, 2423)(1704, 2424)(1705, 2425)(1706, 2426)(1707, 2427)(1708, 2428)(1709, 2429)(1710, 2430)(1711, 2431)(1712, 2432)(1713, 2433)(1714, 2434)(1715, 2435)(1716, 2436)(1717, 2437)(1718, 2438)(1719, 2439)(1720, 2440)(1721, 2441)(1722, 2442)(1723, 2443)(1724, 2444)(1725, 2445)(1726, 2446)(1727, 2447)(1728, 2448)(1729, 2449)(1730, 2450)(1731, 2451)(1732, 2452)(1733, 2453)(1734, 2454)(1735, 2455)(1736, 2456)(1737, 2457)(1738, 2458)(1739, 2459)(1740, 2460)(1741, 2461)(1742, 2462)(1743, 2463)(1744, 2464)(1745, 2465)(1746, 2466)(1747, 2467)(1748, 2468)(1749, 2469)(1750, 2470)(1751, 2471)(1752, 2472)(1753, 2473)(1754, 2474)(1755, 2475)(1756, 2476)(1757, 2477)(1758, 2478)(1759, 2479)(1760, 2480)(1761, 2481)(1762, 2482)(1763, 2483)(1764, 2484)(1765, 2485)(1766, 2486)(1767, 2487)(1768, 2488)(1769, 2489)(1770, 2490)(1771, 2491)(1772, 2492)(1773, 2493)(1774, 2494)(1775, 2495)(1776, 2496)(1777, 2497)(1778, 2498)(1779, 2499)(1780, 2500)(1781, 2501)(1782, 2502)(1783, 2503)(1784, 2504)(1785, 2505)(1786, 2506)(1787, 2507)(1788, 2508)(1789, 2509)(1790, 2510)(1791, 2511)(1792, 2512)(1793, 2513)(1794, 2514)(1795, 2515)(1796, 2516)(1797, 2517)(1798, 2518)(1799, 2519)(1800, 2520)(1801, 2521)(1802, 2522)(1803, 2523)(1804, 2524)(1805, 2525)(1806, 2526)(1807, 2527)(1808, 2528)(1809, 2529)(1810, 2530)(1811, 2531)(1812, 2532)(1813, 2533)(1814, 2534)(1815, 2535)(1816, 2536)(1817, 2537)(1818, 2538)(1819, 2539)(1820, 2540)(1821, 2541)(1822, 2542)(1823, 2543)(1824, 2544)(1825, 2545)(1826, 2546)(1827, 2547)(1828, 2548)(1829, 2549)(1830, 2550)(1831, 2551)(1832, 2552)(1833, 2553)(1834, 2554)(1835, 2555)(1836, 2556)(1837, 2557)(1838, 2558)(1839, 2559)(1840, 2560)(1841, 2561)(1842, 2562)(1843, 2563)(1844, 2564)(1845, 2565)(1846, 2566)(1847, 2567)(1848, 2568)(1849, 2569)(1850, 2570)(1851, 2571)(1852, 2572)(1853, 2573)(1854, 2574)(1855, 2575)(1856, 2576)(1857, 2577)(1858, 2578)(1859, 2579)(1860, 2580)(1861, 2581)(1862, 2582)(1863, 2583)(1864, 2584)(1865, 2585)(1866, 2586)(1867, 2587)(1868, 2588)(1869, 2589)(1870, 2590)(1871, 2591)(1872, 2592)(1873, 2593)(1874, 2594)(1875, 2595)(1876, 2596)(1877, 2597)(1878, 2598)(1879, 2599)(1880, 2600)(1881, 2601)(1882, 2602)(1883, 2603)(1884, 2604)(1885, 2605)(1886, 2606)(1887, 2607)(1888, 2608)(1889, 2609)(1890, 2610)(1891, 2611)(1892, 2612)(1893, 2613)(1894, 2614)(1895, 2615)(1896, 2616)(1897, 2617)(1898, 2618)(1899, 2619)(1900, 2620)(1901, 2621)(1902, 2622)(1903, 2623)(1904, 2624)(1905, 2625)(1906, 2626)(1907, 2627)(1908, 2628)(1909, 2629)(1910, 2630)(1911, 2631)(1912, 2632)(1913, 2633)(1914, 2634)(1915, 2635)(1916, 2636)(1917, 2637)(1918, 2638)(1919, 2639)(1920, 2640)(1921, 2641)(1922, 2642)(1923, 2643)(1924, 2644)(1925, 2645)(1926, 2646)(1927, 2647)(1928, 2648)(1929, 2649)(1930, 2650)(1931, 2651)(1932, 2652)(1933, 2653)(1934, 2654)(1935, 2655)(1936, 2656)(1937, 2657)(1938, 2658)(1939, 2659)(1940, 2660)(1941, 2661)(1942, 2662)(1943, 2663)(1944, 2664)(1945, 2665)(1946, 2666)(1947, 2667)(1948, 2668)(1949, 2669)(1950, 2670)(1951, 2671)(1952, 2672)(1953, 2673)(1954, 2674)(1955, 2675)(1956, 2676)(1957, 2677)(1958, 2678)(1959, 2679)(1960, 2680)(1961, 2681)(1962, 2682)(1963, 2683)(1964, 2684)(1965, 2685)(1966, 2686)(1967, 2687)(1968, 2688)(1969, 2689)(1970, 2690)(1971, 2691)(1972, 2692)(1973, 2693)(1974, 2694)(1975, 2695)(1976, 2696)(1977, 2697)(1978, 2698)(1979, 2699)(1980, 2700)(1981, 2701)(1982, 2702)(1983, 2703)(1984, 2704)(1985, 2705)(1986, 2706)(1987, 2707)(1988, 2708)(1989, 2709)(1990, 2710)(1991, 2711)(1992, 2712)(1993, 2713)(1994, 2714)(1995, 2715)(1996, 2716)(1997, 2717)(1998, 2718)(1999, 2719)(2000, 2720)(2001, 2721)(2002, 2722)(2003, 2723)(2004, 2724)(2005, 2725)(2006, 2726)(2007, 2727)(2008, 2728)(2009, 2729)(2010, 2730)(2011, 2731)(2012, 2732)(2013, 2733)(2014, 2734)(2015, 2735)(2016, 2736)(2017, 2737)(2018, 2738)(2019, 2739)(2020, 2740)(2021, 2741)(2022, 2742)(2023, 2743)(2024, 2744)(2025, 2745)(2026, 2746)(2027, 2747)(2028, 2748)(2029, 2749)(2030, 2750)(2031, 2751)(2032, 2752)(2033, 2753)(2034, 2754)(2035, 2755)(2036, 2756)(2037, 2757)(2038, 2758)(2039, 2759)(2040, 2760)(2041, 2761)(2042, 2762)(2043, 2763)(2044, 2764)(2045, 2765)(2046, 2766)(2047, 2767)(2048, 2768)(2049, 2769)(2050, 2770)(2051, 2771)(2052, 2772)(2053, 2773)(2054, 2774)(2055, 2775)(2056, 2776)(2057, 2777)(2058, 2778)(2059, 2779)(2060, 2780)(2061, 2781)(2062, 2782)(2063, 2783)(2064, 2784)(2065, 2785)(2066, 2786)(2067, 2787)(2068, 2788)(2069, 2789)(2070, 2790)(2071, 2791)(2072, 2792)(2073, 2793)(2074, 2794)(2075, 2795)(2076, 2796)(2077, 2797)(2078, 2798)(2079, 2799)(2080, 2800)(2081, 2801)(2082, 2802)(2083, 2803)(2084, 2804)(2085, 2805)(2086, 2806)(2087, 2807)(2088, 2808)(2089, 2809)(2090, 2810)(2091, 2811)(2092, 2812)(2093, 2813)(2094, 2814)(2095, 2815)(2096, 2816)(2097, 2817)(2098, 2818)(2099, 2819)(2100, 2820)(2101, 2821)(2102, 2822)(2103, 2823)(2104, 2824)(2105, 2825)(2106, 2826)(2107, 2827)(2108, 2828)(2109, 2829)(2110, 2830)(2111, 2831)(2112, 2832)(2113, 2833)(2114, 2834)(2115, 2835)(2116, 2836)(2117, 2837)(2118, 2838)(2119, 2839)(2120, 2840)(2121, 2841)(2122, 2842)(2123, 2843)(2124, 2844)(2125, 2845)(2126, 2846)(2127, 2847)(2128, 2848)(2129, 2849)(2130, 2850)(2131, 2851)(2132, 2852)(2133, 2853)(2134, 2854)(2135, 2855)(2136, 2856)(2137, 2857)(2138, 2858)(2139, 2859)(2140, 2860)(2141, 2861)(2142, 2862)(2143, 2863)(2144, 2864)(2145, 2865)(2146, 2866)(2147, 2867)(2148, 2868)(2149, 2869)(2150, 2870)(2151, 2871)(2152, 2872)(2153, 2873)(2154, 2874)(2155, 2875)(2156, 2876)(2157, 2877)(2158, 2878)(2159, 2879)(2160, 2880)
	L = (1, 1443)(2, 1446)(3, 1441)(4, 1449)(5, 1451)(6, 1442)(7, 1455)(8, 1456)(9, 1444)(10, 1460)(11, 1445)(12, 1464)(13, 1465)(14, 1467)(15, 1447)(16, 1448)(17, 1471)(18, 1473)(19, 1468)(20, 1450)(21, 1478)(22, 1479)(23, 1481)(24, 1452)(25, 1453)(26, 1484)(27, 1454)(28, 1459)(29, 1488)(30, 1491)(31, 1457)(32, 1494)(33, 1458)(34, 1497)(35, 1499)(36, 1495)(37, 1501)(38, 1461)(39, 1462)(40, 1504)(41, 1463)(42, 1507)(43, 1509)(44, 1466)(45, 1513)(46, 1514)(47, 1516)(48, 1469)(49, 1518)(50, 1519)(51, 1470)(52, 1523)(53, 1520)(54, 1472)(55, 1476)(56, 1528)(57, 1474)(58, 1532)(59, 1475)(60, 1534)(61, 1477)(62, 1537)(63, 1539)(64, 1480)(65, 1543)(66, 1544)(67, 1482)(68, 1547)(69, 1483)(70, 1551)(71, 1548)(72, 1553)(73, 1485)(74, 1486)(75, 1556)(76, 1487)(77, 1560)(78, 1489)(79, 1490)(80, 1493)(81, 1566)(82, 1568)(83, 1492)(84, 1570)(85, 1572)(86, 1573)(87, 1575)(88, 1496)(89, 1577)(90, 1579)(91, 1557)(92, 1498)(93, 1583)(94, 1500)(95, 1587)(96, 1588)(97, 1502)(98, 1591)(99, 1503)(100, 1595)(101, 1592)(102, 1597)(103, 1505)(104, 1506)(105, 1600)(106, 1602)(107, 1508)(108, 1511)(109, 1606)(110, 1608)(111, 1510)(112, 1610)(113, 1512)(114, 1613)(115, 1615)(116, 1515)(117, 1531)(118, 1619)(119, 1621)(120, 1517)(121, 1624)(122, 1622)(123, 1627)(124, 1628)(125, 1630)(126, 1521)(127, 1632)(128, 1522)(129, 1635)(130, 1524)(131, 1638)(132, 1525)(133, 1526)(134, 1641)(135, 1527)(136, 1631)(137, 1529)(138, 1647)(139, 1530)(140, 1649)(141, 1651)(142, 1652)(143, 1533)(144, 1656)(145, 1642)(146, 1658)(147, 1535)(148, 1536)(149, 1661)(150, 1663)(151, 1538)(152, 1541)(153, 1667)(154, 1669)(155, 1540)(156, 1671)(157, 1542)(158, 1674)(159, 1676)(160, 1545)(161, 1679)(162, 1546)(163, 1681)(164, 1682)(165, 1684)(166, 1549)(167, 1685)(168, 1550)(169, 1688)(170, 1552)(171, 1692)(172, 1693)(173, 1554)(174, 1696)(175, 1555)(176, 1700)(177, 1697)(178, 1702)(179, 1558)(180, 1704)(181, 1559)(182, 1562)(183, 1707)(184, 1561)(185, 1709)(186, 1710)(187, 1563)(188, 1564)(189, 1713)(190, 1565)(191, 1576)(192, 1567)(193, 1720)(194, 1721)(195, 1569)(196, 1724)(197, 1714)(198, 1571)(199, 1728)(200, 1730)(201, 1574)(202, 1585)(203, 1734)(204, 1718)(205, 1737)(206, 1716)(207, 1578)(208, 1698)(209, 1580)(210, 1743)(211, 1581)(212, 1582)(213, 1746)(214, 1703)(215, 1748)(216, 1584)(217, 1750)(218, 1586)(219, 1753)(220, 1755)(221, 1589)(222, 1758)(223, 1590)(224, 1760)(225, 1761)(226, 1763)(227, 1593)(228, 1764)(229, 1594)(230, 1767)(231, 1596)(232, 1771)(233, 1772)(234, 1598)(235, 1775)(236, 1599)(237, 1778)(238, 1776)(239, 1601)(240, 1781)(241, 1603)(242, 1604)(243, 1783)(244, 1605)(245, 1607)(246, 1788)(247, 1789)(248, 1609)(249, 1792)(250, 1784)(251, 1794)(252, 1611)(253, 1612)(254, 1797)(255, 1799)(256, 1614)(257, 1617)(258, 1648)(259, 1803)(260, 1616)(261, 1805)(262, 1618)(263, 1654)(264, 1620)(265, 1810)(266, 1812)(267, 1623)(268, 1815)(269, 1625)(270, 1626)(271, 1820)(272, 1821)(273, 1629)(274, 1637)(275, 1825)(276, 1646)(277, 1828)(278, 1644)(279, 1830)(280, 1633)(281, 1634)(282, 1833)(283, 1834)(284, 1636)(285, 1836)(286, 1838)(287, 1839)(288, 1639)(289, 1800)(290, 1640)(291, 1845)(292, 1842)(293, 1847)(294, 1643)(295, 1848)(296, 1849)(297, 1645)(298, 1850)(299, 1802)(300, 1852)(301, 1855)(302, 1806)(303, 1650)(304, 1859)(305, 1861)(306, 1653)(307, 1809)(308, 1655)(309, 1843)(310, 1657)(311, 1869)(312, 1870)(313, 1659)(314, 1873)(315, 1660)(316, 1876)(317, 1874)(318, 1662)(319, 1879)(320, 1664)(321, 1665)(322, 1880)(323, 1666)(324, 1668)(325, 1885)(326, 1886)(327, 1670)(328, 1889)(329, 1881)(330, 1891)(331, 1672)(332, 1673)(333, 1894)(334, 1896)(335, 1675)(336, 1678)(337, 1897)(338, 1677)(339, 1899)(340, 1900)(341, 1680)(342, 1904)(343, 1683)(344, 1690)(345, 1908)(346, 1910)(347, 1911)(348, 1686)(349, 1687)(350, 1914)(351, 1915)(352, 1689)(353, 1917)(354, 1691)(355, 1919)(356, 1920)(357, 1694)(358, 1922)(359, 1695)(360, 1729)(361, 1924)(362, 1739)(363, 1699)(364, 1926)(365, 1701)(366, 1742)(367, 1929)(368, 1932)(369, 1747)(370, 1705)(371, 1935)(372, 1706)(373, 1938)(374, 1939)(375, 1708)(376, 1940)(377, 1936)(378, 1942)(379, 1943)(380, 1711)(381, 1712)(382, 1949)(383, 1946)(384, 1951)(385, 1715)(386, 1952)(387, 1953)(388, 1717)(389, 1954)(390, 1719)(391, 1957)(392, 1958)(393, 1722)(394, 1723)(395, 1947)(396, 1725)(397, 1963)(398, 1726)(399, 1727)(400, 1962)(401, 1967)(402, 1732)(403, 1749)(404, 1959)(405, 1731)(406, 1956)(407, 1733)(408, 1735)(409, 1736)(410, 1738)(411, 1973)(412, 1740)(413, 1974)(414, 1975)(415, 1741)(416, 1976)(417, 1978)(418, 1950)(419, 1744)(420, 1923)(421, 1745)(422, 1948)(423, 1981)(424, 1969)(425, 1944)(426, 1941)(427, 1970)(428, 1988)(429, 1751)(430, 1752)(431, 1990)(432, 1992)(433, 1754)(434, 1757)(435, 1993)(436, 1756)(437, 1994)(438, 1995)(439, 1759)(440, 1762)(441, 1769)(442, 1998)(443, 2000)(444, 2001)(445, 1765)(446, 1766)(447, 2003)(448, 2004)(449, 1768)(450, 2005)(451, 1770)(452, 2007)(453, 1945)(454, 1773)(455, 2009)(456, 1774)(457, 1777)(458, 2011)(459, 1779)(460, 1780)(461, 2014)(462, 1937)(463, 2015)(464, 1782)(465, 2018)(466, 2016)(467, 2019)(468, 1785)(469, 2020)(470, 1786)(471, 1787)(472, 2022)(473, 2023)(474, 1790)(475, 1791)(476, 2017)(477, 1793)(478, 2028)(479, 1795)(480, 1796)(481, 2030)(482, 1798)(483, 1860)(484, 1801)(485, 2036)(486, 1804)(487, 2033)(488, 2038)(489, 1807)(490, 2039)(491, 2040)(492, 1808)(493, 2042)(494, 2043)(495, 1811)(496, 1817)(497, 1902)(498, 1813)(499, 1814)(500, 1816)(501, 1866)(502, 1818)(503, 1819)(504, 1865)(505, 1893)(506, 1823)(507, 1835)(508, 1862)(509, 1822)(510, 1858)(511, 1824)(512, 1826)(513, 1827)(514, 1829)(515, 2059)(516, 1846)(517, 1831)(518, 1832)(519, 1844)(520, 2062)(521, 2054)(522, 1840)(523, 1837)(524, 2055)(525, 2069)(526, 2070)(527, 1841)(528, 2071)(529, 1864)(530, 1867)(531, 2073)(532, 2075)(533, 1851)(534, 1853)(535, 1854)(536, 1856)(537, 2082)(538, 1857)(539, 2081)(540, 2086)(541, 1863)(542, 2078)(543, 2077)(544, 2087)(545, 2088)(546, 2089)(547, 2090)(548, 1868)(549, 2092)(550, 1871)(551, 2094)(552, 1872)(553, 1875)(554, 1877)(555, 1878)(556, 2098)(557, 2099)(558, 1882)(559, 2100)(560, 1883)(561, 1884)(562, 2102)(563, 1887)(564, 1888)(565, 1890)(566, 2107)(567, 1892)(568, 2052)(569, 1895)(570, 2112)(571, 1898)(572, 2061)(573, 2114)(574, 1901)(575, 1903)(576, 1906)(577, 1916)(578, 1905)(579, 1907)(580, 1909)(581, 2122)(582, 1912)(583, 1913)(584, 2124)(585, 2118)(586, 2119)(587, 2125)(588, 1918)(589, 2127)(590, 1921)(591, 2128)(592, 2129)(593, 1927)(594, 2076)(595, 2130)(596, 1925)(597, 2131)(598, 1928)(599, 1930)(600, 1931)(601, 2111)(602, 1933)(603, 1934)(604, 2134)(605, 2133)(606, 2093)(607, 2080)(608, 2104)(609, 2103)(610, 2095)(611, 2135)(612, 2008)(613, 2136)(614, 1961)(615, 1964)(616, 2113)(617, 2101)(618, 2108)(619, 1955)(620, 2110)(621, 2012)(622, 1960)(623, 2115)(624, 2097)(625, 2141)(626, 2117)(627, 2142)(628, 2143)(629, 1965)(630, 1966)(631, 1968)(632, 2144)(633, 1971)(634, 2139)(635, 1972)(636, 2034)(637, 1983)(638, 1982)(639, 2116)(640, 2047)(641, 1979)(642, 1977)(643, 2132)(644, 2138)(645, 2140)(646, 1980)(647, 1984)(648, 1985)(649, 1986)(650, 1987)(651, 2151)(652, 1989)(653, 2046)(654, 1991)(655, 2050)(656, 2123)(657, 2064)(658, 1996)(659, 1997)(660, 1999)(661, 2057)(662, 2002)(663, 2049)(664, 2048)(665, 2126)(666, 2154)(667, 2006)(668, 2058)(669, 2156)(670, 2060)(671, 2041)(672, 2010)(673, 2056)(674, 2013)(675, 2063)(676, 2079)(677, 2066)(678, 2025)(679, 2026)(680, 2153)(681, 2148)(682, 2021)(683, 2096)(684, 2024)(685, 2027)(686, 2105)(687, 2029)(688, 2031)(689, 2032)(690, 2035)(691, 2037)(692, 2083)(693, 2045)(694, 2044)(695, 2051)(696, 2053)(697, 2146)(698, 2084)(699, 2074)(700, 2085)(701, 2065)(702, 2067)(703, 2068)(704, 2072)(705, 2157)(706, 2137)(707, 2158)(708, 2121)(709, 2155)(710, 2159)(711, 2091)(712, 2160)(713, 2120)(714, 2106)(715, 2149)(716, 2109)(717, 2145)(718, 2147)(719, 2150)(720, 2152)(721, 2161)(722, 2162)(723, 2163)(724, 2164)(725, 2165)(726, 2166)(727, 2167)(728, 2168)(729, 2169)(730, 2170)(731, 2171)(732, 2172)(733, 2173)(734, 2174)(735, 2175)(736, 2176)(737, 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2268)(829, 2269)(830, 2270)(831, 2271)(832, 2272)(833, 2273)(834, 2274)(835, 2275)(836, 2276)(837, 2277)(838, 2278)(839, 2279)(840, 2280)(841, 2281)(842, 2282)(843, 2283)(844, 2284)(845, 2285)(846, 2286)(847, 2287)(848, 2288)(849, 2289)(850, 2290)(851, 2291)(852, 2292)(853, 2293)(854, 2294)(855, 2295)(856, 2296)(857, 2297)(858, 2298)(859, 2299)(860, 2300)(861, 2301)(862, 2302)(863, 2303)(864, 2304)(865, 2305)(866, 2306)(867, 2307)(868, 2308)(869, 2309)(870, 2310)(871, 2311)(872, 2312)(873, 2313)(874, 2314)(875, 2315)(876, 2316)(877, 2317)(878, 2318)(879, 2319)(880, 2320)(881, 2321)(882, 2322)(883, 2323)(884, 2324)(885, 2325)(886, 2326)(887, 2327)(888, 2328)(889, 2329)(890, 2330)(891, 2331)(892, 2332)(893, 2333)(894, 2334)(895, 2335)(896, 2336)(897, 2337)(898, 2338)(899, 2339)(900, 2340)(901, 2341)(902, 2342)(903, 2343)(904, 2344)(905, 2345)(906, 2346)(907, 2347)(908, 2348)(909, 2349)(910, 2350)(911, 2351)(912, 2352)(913, 2353)(914, 2354)(915, 2355)(916, 2356)(917, 2357)(918, 2358)(919, 2359)(920, 2360)(921, 2361)(922, 2362)(923, 2363)(924, 2364)(925, 2365)(926, 2366)(927, 2367)(928, 2368)(929, 2369)(930, 2370)(931, 2371)(932, 2372)(933, 2373)(934, 2374)(935, 2375)(936, 2376)(937, 2377)(938, 2378)(939, 2379)(940, 2380)(941, 2381)(942, 2382)(943, 2383)(944, 2384)(945, 2385)(946, 2386)(947, 2387)(948, 2388)(949, 2389)(950, 2390)(951, 2391)(952, 2392)(953, 2393)(954, 2394)(955, 2395)(956, 2396)(957, 2397)(958, 2398)(959, 2399)(960, 2400)(961, 2401)(962, 2402)(963, 2403)(964, 2404)(965, 2405)(966, 2406)(967, 2407)(968, 2408)(969, 2409)(970, 2410)(971, 2411)(972, 2412)(973, 2413)(974, 2414)(975, 2415)(976, 2416)(977, 2417)(978, 2418)(979, 2419)(980, 2420)(981, 2421)(982, 2422)(983, 2423)(984, 2424)(985, 2425)(986, 2426)(987, 2427)(988, 2428)(989, 2429)(990, 2430)(991, 2431)(992, 2432)(993, 2433)(994, 2434)(995, 2435)(996, 2436)(997, 2437)(998, 2438)(999, 2439)(1000, 2440)(1001, 2441)(1002, 2442)(1003, 2443)(1004, 2444)(1005, 2445)(1006, 2446)(1007, 2447)(1008, 2448)(1009, 2449)(1010, 2450)(1011, 2451)(1012, 2452)(1013, 2453)(1014, 2454)(1015, 2455)(1016, 2456)(1017, 2457)(1018, 2458)(1019, 2459)(1020, 2460)(1021, 2461)(1022, 2462)(1023, 2463)(1024, 2464)(1025, 2465)(1026, 2466)(1027, 2467)(1028, 2468)(1029, 2469)(1030, 2470)(1031, 2471)(1032, 2472)(1033, 2473)(1034, 2474)(1035, 2475)(1036, 2476)(1037, 2477)(1038, 2478)(1039, 2479)(1040, 2480)(1041, 2481)(1042, 2482)(1043, 2483)(1044, 2484)(1045, 2485)(1046, 2486)(1047, 2487)(1048, 2488)(1049, 2489)(1050, 2490)(1051, 2491)(1052, 2492)(1053, 2493)(1054, 2494)(1055, 2495)(1056, 2496)(1057, 2497)(1058, 2498)(1059, 2499)(1060, 2500)(1061, 2501)(1062, 2502)(1063, 2503)(1064, 2504)(1065, 2505)(1066, 2506)(1067, 2507)(1068, 2508)(1069, 2509)(1070, 2510)(1071, 2511)(1072, 2512)(1073, 2513)(1074, 2514)(1075, 2515)(1076, 2516)(1077, 2517)(1078, 2518)(1079, 2519)(1080, 2520)(1081, 2521)(1082, 2522)(1083, 2523)(1084, 2524)(1085, 2525)(1086, 2526)(1087, 2527)(1088, 2528)(1089, 2529)(1090, 2530)(1091, 2531)(1092, 2532)(1093, 2533)(1094, 2534)(1095, 2535)(1096, 2536)(1097, 2537)(1098, 2538)(1099, 2539)(1100, 2540)(1101, 2541)(1102, 2542)(1103, 2543)(1104, 2544)(1105, 2545)(1106, 2546)(1107, 2547)(1108, 2548)(1109, 2549)(1110, 2550)(1111, 2551)(1112, 2552)(1113, 2553)(1114, 2554)(1115, 2555)(1116, 2556)(1117, 2557)(1118, 2558)(1119, 2559)(1120, 2560)(1121, 2561)(1122, 2562)(1123, 2563)(1124, 2564)(1125, 2565)(1126, 2566)(1127, 2567)(1128, 2568)(1129, 2569)(1130, 2570)(1131, 2571)(1132, 2572)(1133, 2573)(1134, 2574)(1135, 2575)(1136, 2576)(1137, 2577)(1138, 2578)(1139, 2579)(1140, 2580)(1141, 2581)(1142, 2582)(1143, 2583)(1144, 2584)(1145, 2585)(1146, 2586)(1147, 2587)(1148, 2588)(1149, 2589)(1150, 2590)(1151, 2591)(1152, 2592)(1153, 2593)(1154, 2594)(1155, 2595)(1156, 2596)(1157, 2597)(1158, 2598)(1159, 2599)(1160, 2600)(1161, 2601)(1162, 2602)(1163, 2603)(1164, 2604)(1165, 2605)(1166, 2606)(1167, 2607)(1168, 2608)(1169, 2609)(1170, 2610)(1171, 2611)(1172, 2612)(1173, 2613)(1174, 2614)(1175, 2615)(1176, 2616)(1177, 2617)(1178, 2618)(1179, 2619)(1180, 2620)(1181, 2621)(1182, 2622)(1183, 2623)(1184, 2624)(1185, 2625)(1186, 2626)(1187, 2627)(1188, 2628)(1189, 2629)(1190, 2630)(1191, 2631)(1192, 2632)(1193, 2633)(1194, 2634)(1195, 2635)(1196, 2636)(1197, 2637)(1198, 2638)(1199, 2639)(1200, 2640)(1201, 2641)(1202, 2642)(1203, 2643)(1204, 2644)(1205, 2645)(1206, 2646)(1207, 2647)(1208, 2648)(1209, 2649)(1210, 2650)(1211, 2651)(1212, 2652)(1213, 2653)(1214, 2654)(1215, 2655)(1216, 2656)(1217, 2657)(1218, 2658)(1219, 2659)(1220, 2660)(1221, 2661)(1222, 2662)(1223, 2663)(1224, 2664)(1225, 2665)(1226, 2666)(1227, 2667)(1228, 2668)(1229, 2669)(1230, 2670)(1231, 2671)(1232, 2672)(1233, 2673)(1234, 2674)(1235, 2675)(1236, 2676)(1237, 2677)(1238, 2678)(1239, 2679)(1240, 2680)(1241, 2681)(1242, 2682)(1243, 2683)(1244, 2684)(1245, 2685)(1246, 2686)(1247, 2687)(1248, 2688)(1249, 2689)(1250, 2690)(1251, 2691)(1252, 2692)(1253, 2693)(1254, 2694)(1255, 2695)(1256, 2696)(1257, 2697)(1258, 2698)(1259, 2699)(1260, 2700)(1261, 2701)(1262, 2702)(1263, 2703)(1264, 2704)(1265, 2705)(1266, 2706)(1267, 2707)(1268, 2708)(1269, 2709)(1270, 2710)(1271, 2711)(1272, 2712)(1273, 2713)(1274, 2714)(1275, 2715)(1276, 2716)(1277, 2717)(1278, 2718)(1279, 2719)(1280, 2720)(1281, 2721)(1282, 2722)(1283, 2723)(1284, 2724)(1285, 2725)(1286, 2726)(1287, 2727)(1288, 2728)(1289, 2729)(1290, 2730)(1291, 2731)(1292, 2732)(1293, 2733)(1294, 2734)(1295, 2735)(1296, 2736)(1297, 2737)(1298, 2738)(1299, 2739)(1300, 2740)(1301, 2741)(1302, 2742)(1303, 2743)(1304, 2744)(1305, 2745)(1306, 2746)(1307, 2747)(1308, 2748)(1309, 2749)(1310, 2750)(1311, 2751)(1312, 2752)(1313, 2753)(1314, 2754)(1315, 2755)(1316, 2756)(1317, 2757)(1318, 2758)(1319, 2759)(1320, 2760)(1321, 2761)(1322, 2762)(1323, 2763)(1324, 2764)(1325, 2765)(1326, 2766)(1327, 2767)(1328, 2768)(1329, 2769)(1330, 2770)(1331, 2771)(1332, 2772)(1333, 2773)(1334, 2774)(1335, 2775)(1336, 2776)(1337, 2777)(1338, 2778)(1339, 2779)(1340, 2780)(1341, 2781)(1342, 2782)(1343, 2783)(1344, 2784)(1345, 2785)(1346, 2786)(1347, 2787)(1348, 2788)(1349, 2789)(1350, 2790)(1351, 2791)(1352, 2792)(1353, 2793)(1354, 2794)(1355, 2795)(1356, 2796)(1357, 2797)(1358, 2798)(1359, 2799)(1360, 2800)(1361, 2801)(1362, 2802)(1363, 2803)(1364, 2804)(1365, 2805)(1366, 2806)(1367, 2807)(1368, 2808)(1369, 2809)(1370, 2810)(1371, 2811)(1372, 2812)(1373, 2813)(1374, 2814)(1375, 2815)(1376, 2816)(1377, 2817)(1378, 2818)(1379, 2819)(1380, 2820)(1381, 2821)(1382, 2822)(1383, 2823)(1384, 2824)(1385, 2825)(1386, 2826)(1387, 2827)(1388, 2828)(1389, 2829)(1390, 2830)(1391, 2831)(1392, 2832)(1393, 2833)(1394, 2834)(1395, 2835)(1396, 2836)(1397, 2837)(1398, 2838)(1399, 2839)(1400, 2840)(1401, 2841)(1402, 2842)(1403, 2843)(1404, 2844)(1405, 2845)(1406, 2846)(1407, 2847)(1408, 2848)(1409, 2849)(1410, 2850)(1411, 2851)(1412, 2852)(1413, 2853)(1414, 2854)(1415, 2855)(1416, 2856)(1417, 2857)(1418, 2858)(1419, 2859)(1420, 2860)(1421, 2861)(1422, 2862)(1423, 2863)(1424, 2864)(1425, 2865)(1426, 2866)(1427, 2867)(1428, 2868)(1429, 2869)(1430, 2870)(1431, 2871)(1432, 2872)(1433, 2873)(1434, 2874)(1435, 2875)(1436, 2876)(1437, 2877)(1438, 2878)(1439, 2879)(1440, 2880)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2437
Graph:: simple bipartite
	v = 864 e = 1440 f = 540
	degree seq :: [ 2^720, 10^144 ]

E19.2441 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = C2 x A6 (small group id <720, 766>)
Aut   = $<1440, 5843>$ (small group id <1440, 5843>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^5, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^4, (Y3 * Y2^-1)^4, (Y2 * Y1 * Y2^-1 * Y1)^4, Y2^-2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1, Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 ]
Map::
	R = (1, 721, 2, 722)(3, 723, 7, 727)(4, 724, 9, 729)(5, 725, 11, 731)(6, 726, 13, 733)(8, 728, 17, 737)(10, 730, 20, 740)(12, 732, 23, 743)(14, 734, 26, 746)(15, 735, 25, 745)(16, 736, 28, 748)(18, 738, 32, 752)(19, 739, 21, 741)(22, 742, 38, 758)(24, 744, 42, 762)(27, 747, 47, 767)(29, 749, 50, 770)(30, 750, 49, 769)(31, 751, 52, 772)(33, 753, 56, 776)(34, 754, 57, 777)(35, 755, 58, 778)(36, 756, 54, 774)(37, 757, 61, 781)(39, 759, 64, 784)(40, 760, 63, 783)(41, 761, 66, 786)(43, 763, 70, 790)(44, 764, 71, 791)(45, 765, 72, 792)(46, 766, 68, 788)(48, 768, 77, 797)(51, 771, 82, 802)(53, 773, 84, 804)(55, 775, 86, 806)(59, 779, 93, 813)(60, 780, 94, 814)(62, 782, 97, 817)(65, 785, 102, 822)(67, 787, 104, 824)(69, 789, 106, 826)(73, 793, 113, 833)(74, 794, 114, 834)(75, 795, 111, 831)(76, 796, 116, 836)(78, 798, 120, 840)(79, 799, 121, 841)(80, 800, 122, 842)(81, 801, 118, 838)(83, 803, 127, 847)(85, 805, 131, 851)(87, 807, 134, 854)(88, 808, 133, 853)(89, 809, 136, 856)(90, 810, 138, 858)(91, 811, 95, 815)(92, 812, 141, 861)(96, 816, 147, 867)(98, 818, 151, 871)(99, 819, 152, 872)(100, 820, 153, 873)(101, 821, 149, 869)(103, 823, 158, 878)(105, 825, 162, 882)(107, 827, 165, 885)(108, 828, 164, 884)(109, 829, 167, 887)(110, 830, 169, 889)(112, 832, 172, 892)(115, 835, 177, 897)(117, 837, 179, 899)(119, 839, 150, 870)(123, 843, 187, 907)(124, 844, 188, 908)(125, 845, 185, 905)(126, 846, 190, 910)(128, 848, 194, 914)(129, 849, 195, 915)(130, 850, 192, 912)(132, 852, 163, 883)(135, 855, 204, 924)(137, 857, 206, 926)(139, 859, 208, 928)(140, 860, 209, 929)(142, 862, 211, 931)(143, 863, 213, 933)(144, 864, 215, 935)(145, 865, 198, 918)(146, 866, 218, 938)(148, 868, 220, 940)(154, 874, 228, 948)(155, 875, 229, 949)(156, 876, 226, 946)(157, 877, 231, 951)(159, 879, 235, 955)(160, 880, 236, 956)(161, 881, 233, 953)(166, 886, 245, 965)(168, 888, 247, 967)(170, 890, 249, 969)(171, 891, 250, 970)(173, 893, 252, 972)(174, 894, 254, 974)(175, 895, 256, 976)(176, 896, 239, 959)(178, 898, 251, 971)(180, 900, 264, 984)(181, 901, 223, 943)(182, 902, 222, 942)(183, 903, 266, 986)(184, 904, 268, 988)(186, 906, 271, 991)(189, 909, 276, 996)(191, 911, 278, 998)(193, 913, 248, 968)(196, 916, 284, 1004)(197, 917, 285, 1005)(199, 919, 287, 1007)(200, 920, 244, 964)(201, 921, 289, 1009)(202, 922, 290, 1010)(203, 923, 241, 961)(205, 925, 295, 1015)(207, 927, 234, 954)(210, 930, 219, 939)(212, 932, 305, 1025)(214, 934, 307, 1027)(216, 936, 309, 1029)(217, 937, 310, 1030)(221, 941, 316, 1036)(224, 944, 318, 1038)(225, 945, 320, 1040)(227, 947, 323, 1043)(230, 950, 328, 1048)(232, 952, 330, 1050)(237, 957, 336, 1056)(238, 958, 337, 1057)(240, 960, 339, 1059)(242, 962, 341, 1061)(243, 963, 342, 1062)(246, 966, 347, 1067)(253, 973, 357, 1077)(255, 975, 359, 1079)(257, 977, 361, 1081)(258, 978, 362, 1082)(259, 979, 354, 1074)(260, 980, 364, 1084)(261, 981, 334, 1054)(262, 982, 366, 1086)(263, 983, 355, 1075)(265, 985, 371, 1091)(267, 987, 373, 1093)(269, 989, 374, 1094)(270, 990, 375, 1095)(272, 992, 377, 1097)(273, 993, 379, 1099)(274, 994, 381, 1101)(275, 995, 369, 1089)(277, 997, 376, 1096)(279, 999, 389, 1109)(280, 1000, 351, 1071)(281, 1001, 348, 1068)(282, 1002, 313, 1033)(283, 1003, 392, 1112)(286, 1006, 397, 1117)(288, 1008, 398, 1118)(291, 1011, 401, 1121)(292, 1012, 402, 1122)(293, 1013, 400, 1120)(294, 1014, 404, 1124)(296, 1016, 333, 1053)(297, 1017, 408, 1128)(298, 1018, 406, 1126)(299, 1019, 332, 1052)(300, 1020, 412, 1132)(301, 1021, 414, 1134)(302, 1022, 311, 1031)(303, 1023, 315, 1035)(304, 1024, 417, 1137)(306, 1026, 420, 1140)(308, 1028, 407, 1127)(312, 1032, 429, 1149)(314, 1034, 431, 1151)(317, 1037, 436, 1156)(319, 1039, 438, 1158)(321, 1041, 439, 1159)(322, 1042, 440, 1160)(324, 1044, 442, 1162)(325, 1045, 444, 1164)(326, 1046, 446, 1166)(327, 1047, 434, 1154)(329, 1049, 441, 1161)(331, 1051, 454, 1174)(335, 1055, 457, 1177)(338, 1058, 462, 1182)(340, 1060, 463, 1183)(343, 1063, 466, 1186)(344, 1064, 467, 1187)(345, 1065, 465, 1185)(346, 1066, 469, 1189)(349, 1069, 473, 1193)(350, 1070, 471, 1191)(352, 1072, 477, 1197)(353, 1073, 479, 1199)(356, 1076, 482, 1202)(358, 1078, 485, 1205)(360, 1080, 472, 1192)(363, 1083, 493, 1213)(365, 1085, 495, 1215)(367, 1087, 497, 1217)(368, 1088, 498, 1218)(370, 1090, 500, 1220)(372, 1092, 504, 1224)(378, 1098, 460, 1180)(380, 1100, 459, 1179)(382, 1102, 452, 1172)(383, 1103, 450, 1170)(384, 1104, 509, 1229)(385, 1105, 448, 1168)(386, 1106, 456, 1176)(387, 1107, 447, 1167)(388, 1108, 510, 1230)(390, 1110, 486, 1206)(391, 1111, 451, 1171)(393, 1113, 520, 1240)(394, 1114, 445, 1165)(395, 1115, 443, 1163)(396, 1116, 518, 1238)(399, 1119, 528, 1248)(403, 1123, 491, 1211)(405, 1125, 490, 1210)(409, 1129, 487, 1207)(410, 1130, 484, 1204)(411, 1131, 533, 1253)(413, 1133, 534, 1254)(415, 1135, 535, 1255)(416, 1136, 536, 1256)(418, 1138, 538, 1258)(419, 1139, 475, 1195)(421, 1141, 455, 1175)(422, 1142, 474, 1194)(423, 1143, 541, 1261)(424, 1144, 532, 1252)(425, 1145, 470, 1190)(426, 1146, 468, 1188)(427, 1147, 525, 1245)(428, 1148, 548, 1268)(430, 1150, 549, 1269)(432, 1152, 551, 1271)(433, 1153, 552, 1272)(435, 1155, 502, 1222)(437, 1157, 556, 1276)(449, 1169, 561, 1281)(453, 1173, 562, 1282)(458, 1178, 572, 1292)(461, 1181, 570, 1290)(464, 1184, 494, 1214)(476, 1196, 584, 1304)(478, 1198, 585, 1305)(480, 1200, 586, 1306)(481, 1201, 587, 1307)(483, 1203, 589, 1309)(488, 1208, 592, 1312)(489, 1209, 583, 1303)(492, 1212, 577, 1297)(496, 1216, 603, 1323)(499, 1219, 608, 1328)(501, 1221, 609, 1329)(503, 1223, 610, 1330)(505, 1225, 613, 1333)(506, 1226, 611, 1331)(507, 1227, 614, 1334)(508, 1228, 616, 1336)(511, 1231, 619, 1339)(512, 1232, 620, 1340)(513, 1233, 612, 1332)(514, 1234, 621, 1341)(515, 1235, 622, 1342)(516, 1236, 623, 1343)(517, 1237, 624, 1344)(519, 1239, 626, 1346)(521, 1241, 606, 1326)(522, 1242, 605, 1325)(523, 1243, 601, 1321)(524, 1244, 600, 1320)(526, 1246, 630, 1350)(527, 1247, 632, 1352)(529, 1249, 633, 1353)(530, 1250, 634, 1354)(531, 1251, 635, 1355)(537, 1257, 644, 1364)(539, 1259, 642, 1362)(540, 1260, 641, 1361)(542, 1262, 638, 1358)(543, 1263, 637, 1357)(544, 1264, 647, 1367)(545, 1265, 648, 1368)(546, 1266, 649, 1369)(547, 1267, 650, 1370)(550, 1270, 654, 1374)(553, 1273, 658, 1378)(554, 1274, 640, 1360)(555, 1275, 659, 1379)(557, 1277, 662, 1382)(558, 1278, 660, 1380)(559, 1279, 663, 1383)(560, 1280, 665, 1385)(563, 1283, 668, 1388)(564, 1284, 669, 1389)(565, 1285, 661, 1381)(566, 1286, 670, 1390)(567, 1287, 671, 1391)(568, 1288, 672, 1392)(569, 1289, 673, 1393)(571, 1291, 636, 1356)(573, 1293, 657, 1377)(574, 1294, 656, 1376)(575, 1295, 653, 1373)(576, 1296, 652, 1372)(578, 1298, 678, 1398)(579, 1299, 680, 1400)(580, 1300, 602, 1322)(581, 1301, 681, 1401)(582, 1302, 682, 1402)(588, 1308, 607, 1327)(590, 1310, 687, 1407)(591, 1311, 686, 1406)(593, 1313, 684, 1404)(594, 1314, 683, 1403)(595, 1315, 691, 1411)(596, 1316, 692, 1412)(597, 1317, 693, 1413)(598, 1318, 694, 1414)(599, 1319, 688, 1408)(604, 1324, 655, 1375)(615, 1335, 676, 1396)(617, 1337, 674, 1394)(618, 1338, 700, 1420)(625, 1345, 666, 1386)(627, 1347, 675, 1395)(628, 1348, 664, 1384)(629, 1349, 704, 1424)(631, 1351, 690, 1410)(639, 1359, 685, 1405)(643, 1363, 651, 1371)(645, 1365, 689, 1409)(646, 1366, 679, 1399)(667, 1387, 696, 1416)(677, 1397, 706, 1426)(695, 1415, 712, 1432)(697, 1417, 713, 1433)(698, 1418, 717, 1437)(699, 1419, 708, 1428)(701, 1421, 703, 1423)(702, 1422, 710, 1430)(705, 1425, 715, 1435)(707, 1427, 716, 1436)(709, 1429, 714, 1434)(711, 1431, 719, 1439)(718, 1438, 720, 1440)(1441, 2161, 1443, 2163, 1448, 2168, 1450, 2170, 1444, 2164)(1442, 2162, 1445, 2165, 1452, 2172, 1454, 2174, 1446, 2166)(1447, 2167, 1455, 2175, 1467, 2187, 1469, 2189, 1456, 2176)(1449, 2169, 1458, 2178, 1473, 2193, 1474, 2194, 1459, 2179)(1451, 2171, 1461, 2181, 1477, 2197, 1479, 2199, 1462, 2182)(1453, 2173, 1464, 2184, 1483, 2203, 1484, 2204, 1465, 2185)(1457, 2177, 1470, 2190, 1491, 2211, 1493, 2213, 1471, 2191)(1460, 2180, 1475, 2195, 1499, 2219, 1500, 2220, 1476, 2196)(1463, 2183, 1480, 2200, 1505, 2225, 1507, 2227, 1481, 2201)(1466, 2186, 1485, 2205, 1513, 2233, 1514, 2234, 1486, 2206)(1468, 2188, 1488, 2208, 1518, 2238, 1519, 2239, 1489, 2209)(1472, 2192, 1494, 2214, 1525, 2245, 1527, 2247, 1495, 2215)(1478, 2198, 1502, 2222, 1538, 2258, 1539, 2259, 1503, 2223)(1482, 2202, 1508, 2228, 1545, 2265, 1547, 2267, 1509, 2229)(1487, 2207, 1515, 2235, 1555, 2275, 1557, 2277, 1516, 2236)(1490, 2210, 1520, 2240, 1563, 2283, 1564, 2284, 1521, 2241)(1492, 2212, 1523, 2243, 1568, 2288, 1532, 2252, 1498, 2218)(1496, 2216, 1528, 2248, 1575, 2295, 1577, 2297, 1529, 2249)(1497, 2217, 1530, 2250, 1579, 2299, 1580, 2300, 1531, 2251)(1501, 2221, 1535, 2255, 1586, 2306, 1588, 2308, 1536, 2256)(1504, 2224, 1540, 2260, 1594, 2314, 1595, 2315, 1541, 2261)(1506, 2226, 1543, 2263, 1599, 2319, 1552, 2272, 1512, 2232)(1510, 2230, 1548, 2268, 1606, 2326, 1608, 2328, 1549, 2269)(1511, 2231, 1550, 2270, 1610, 2330, 1611, 2331, 1551, 2271)(1517, 2237, 1558, 2278, 1620, 2340, 1621, 2341, 1559, 2279)(1522, 2242, 1565, 2285, 1629, 2349, 1631, 2351, 1566, 2286)(1524, 2244, 1569, 2289, 1636, 2356, 1637, 2357, 1570, 2290)(1526, 2246, 1572, 2292, 1640, 2360, 1641, 2361, 1573, 2293)(1533, 2253, 1582, 2302, 1652, 2372, 1654, 2374, 1583, 2303)(1534, 2254, 1584, 2304, 1656, 2376, 1657, 2377, 1585, 2305)(1537, 2257, 1589, 2309, 1661, 2381, 1662, 2382, 1590, 2310)(1542, 2262, 1596, 2316, 1670, 2390, 1672, 2392, 1597, 2317)(1544, 2264, 1600, 2320, 1677, 2397, 1678, 2398, 1601, 2321)(1546, 2266, 1603, 2323, 1681, 2401, 1682, 2402, 1604, 2324)(1553, 2273, 1613, 2333, 1693, 2413, 1695, 2415, 1614, 2334)(1554, 2274, 1615, 2335, 1697, 2417, 1698, 2418, 1616, 2336)(1556, 2276, 1618, 2338, 1701, 2421, 1626, 2346, 1562, 2282)(1560, 2280, 1622, 2342, 1705, 2425, 1707, 2427, 1623, 2343)(1561, 2281, 1624, 2344, 1709, 2429, 1710, 2430, 1625, 2345)(1567, 2287, 1632, 2352, 1719, 2439, 1720, 2440, 1633, 2353)(1571, 2291, 1638, 2358, 1726, 2446, 1728, 2448, 1639, 2359)(1574, 2294, 1642, 2362, 1731, 2451, 1732, 2452, 1643, 2363)(1576, 2296, 1645, 2365, 1736, 2456, 1647, 2367, 1578, 2298)(1581, 2301, 1650, 2370, 1743, 2463, 1744, 2464, 1651, 2371)(1587, 2307, 1659, 2379, 1753, 2473, 1667, 2387, 1593, 2313)(1591, 2311, 1663, 2383, 1757, 2477, 1759, 2479, 1664, 2384)(1592, 2312, 1665, 2385, 1761, 2481, 1762, 2482, 1666, 2386)(1598, 2318, 1673, 2393, 1771, 2491, 1772, 2492, 1674, 2394)(1602, 2322, 1679, 2399, 1778, 2498, 1780, 2500, 1680, 2400)(1605, 2325, 1683, 2403, 1783, 2503, 1784, 2504, 1684, 2404)(1607, 2327, 1686, 2406, 1788, 2508, 1688, 2408, 1609, 2329)(1612, 2332, 1691, 2411, 1795, 2515, 1796, 2516, 1692, 2412)(1617, 2337, 1699, 2419, 1803, 2523, 1805, 2525, 1700, 2420)(1619, 2339, 1702, 2422, 1807, 2527, 1808, 2528, 1703, 2423)(1627, 2347, 1712, 2432, 1818, 2538, 1820, 2540, 1713, 2433)(1628, 2348, 1714, 2434, 1822, 2542, 1823, 2543, 1715, 2435)(1630, 2350, 1717, 2437, 1826, 2546, 1723, 2443, 1635, 2355)(1634, 2354, 1721, 2441, 1830, 2550, 1831, 2551, 1722, 2442)(1644, 2364, 1733, 2453, 1843, 2563, 1845, 2565, 1734, 2454)(1646, 2366, 1737, 2457, 1849, 2569, 1850, 2570, 1738, 2458)(1648, 2368, 1739, 2459, 1851, 2571, 1853, 2573, 1740, 2460)(1649, 2369, 1741, 2461, 1855, 2575, 1856, 2576, 1742, 2462)(1653, 2373, 1746, 2466, 1861, 2581, 1748, 2468, 1655, 2375)(1658, 2378, 1751, 2471, 1868, 2588, 1870, 2590, 1752, 2472)(1660, 2380, 1754, 2474, 1872, 2592, 1873, 2593, 1755, 2475)(1668, 2388, 1764, 2484, 1883, 2603, 1885, 2605, 1765, 2485)(1669, 2389, 1766, 2486, 1887, 2607, 1888, 2608, 1767, 2487)(1671, 2391, 1769, 2489, 1891, 2611, 1775, 2495, 1676, 2396)(1675, 2395, 1773, 2493, 1895, 2615, 1896, 2616, 1774, 2494)(1685, 2405, 1785, 2505, 1908, 2628, 1910, 2630, 1786, 2506)(1687, 2407, 1789, 2509, 1914, 2634, 1915, 2635, 1790, 2510)(1689, 2409, 1791, 2511, 1916, 2636, 1918, 2638, 1792, 2512)(1690, 2410, 1793, 2513, 1920, 2640, 1921, 2641, 1794, 2514)(1694, 2414, 1798, 2518, 1926, 2646, 1800, 2520, 1696, 2416)(1704, 2424, 1809, 2529, 1939, 2659, 1941, 2661, 1810, 2530)(1706, 2426, 1812, 2532, 1730, 2450, 1727, 2447, 1708, 2428)(1711, 2431, 1816, 2536, 1950, 2670, 1951, 2671, 1817, 2537)(1716, 2436, 1824, 2544, 1954, 2674, 1955, 2675, 1825, 2545)(1718, 2438, 1827, 2547, 1956, 2676, 1957, 2677, 1828, 2548)(1724, 2444, 1833, 2553, 1961, 2681, 1962, 2682, 1834, 2554)(1725, 2445, 1835, 2555, 1963, 2683, 1964, 2684, 1836, 2556)(1729, 2449, 1839, 2559, 1969, 2689, 1970, 2690, 1840, 2560)(1735, 2455, 1846, 2566, 1971, 2691, 1972, 2692, 1847, 2567)(1745, 2465, 1858, 2578, 1979, 2699, 1980, 2700, 1859, 2579)(1747, 2467, 1862, 2582, 1982, 2702, 1983, 2703, 1863, 2583)(1749, 2469, 1864, 2584, 1984, 2704, 1985, 2705, 1865, 2585)(1750, 2470, 1866, 2586, 1986, 2706, 1987, 2707, 1867, 2587)(1756, 2476, 1874, 2594, 1993, 2713, 1994, 2714, 1875, 2595)(1758, 2478, 1877, 2597, 1782, 2502, 1779, 2499, 1760, 2480)(1763, 2483, 1881, 2601, 2002, 2722, 2003, 2723, 1882, 2602)(1768, 2488, 1889, 2609, 2006, 2726, 2007, 2727, 1890, 2610)(1770, 2490, 1892, 2612, 2008, 2728, 2009, 2729, 1893, 2613)(1776, 2496, 1898, 2618, 2013, 2733, 2014, 2734, 1899, 2619)(1777, 2497, 1900, 2620, 2015, 2735, 2016, 2736, 1901, 2621)(1781, 2501, 1904, 2624, 2020, 2740, 2021, 2741, 1905, 2625)(1787, 2507, 1911, 2631, 2022, 2742, 2023, 2743, 1912, 2632)(1797, 2517, 1923, 2643, 2030, 2750, 2031, 2751, 1924, 2644)(1799, 2519, 1927, 2647, 2033, 2753, 2034, 2754, 1928, 2648)(1801, 2521, 1929, 2649, 2035, 2755, 2036, 2756, 1930, 2650)(1802, 2522, 1931, 2651, 2037, 2757, 2038, 2758, 1932, 2652)(1804, 2524, 1934, 2654, 1842, 2562, 1936, 2656, 1806, 2526)(1811, 2531, 1942, 2662, 1854, 2574, 1852, 2572, 1943, 2663)(1813, 2533, 1945, 2665, 1848, 2568, 1844, 2564, 1946, 2666)(1814, 2534, 1838, 2558, 1967, 2687, 2055, 2775, 1947, 2667)(1815, 2535, 1948, 2668, 2057, 2777, 2058, 2778, 1949, 2669)(1819, 2539, 1952, 2672, 1841, 2561, 1953, 2673, 1821, 2541)(1829, 2549, 1958, 2678, 2065, 2785, 2067, 2787, 1959, 2679)(1832, 2552, 1860, 2580, 1981, 2701, 2068, 2788, 1960, 2680)(1837, 2557, 1965, 2685, 2069, 2789, 2071, 2791, 1966, 2686)(1857, 2577, 1977, 2697, 2085, 2805, 2086, 2806, 1978, 2698)(1869, 2589, 1968, 2688, 1907, 2627, 1990, 2710, 1871, 2591)(1876, 2596, 1940, 2660, 1919, 2639, 1917, 2637, 1995, 2715)(1878, 2598, 1997, 2717, 1913, 2633, 1909, 2629, 1998, 2718)(1879, 2599, 1903, 2623, 2019, 2739, 2104, 2824, 1999, 2719)(1880, 2600, 2000, 2720, 2106, 2826, 2107, 2827, 2001, 2721)(1884, 2604, 2004, 2724, 1906, 2626, 2005, 2725, 1886, 2606)(1894, 2614, 2010, 2730, 2114, 2834, 2115, 2835, 2011, 2731)(1897, 2617, 1925, 2645, 2032, 2752, 2116, 2836, 2012, 2732)(1902, 2622, 2017, 2737, 2117, 2837, 2119, 2839, 2018, 2738)(1922, 2642, 2028, 2748, 2129, 2849, 2130, 2850, 2029, 2749)(1933, 2653, 2039, 2759, 2135, 2855, 2136, 2856, 2040, 2760)(1935, 2655, 2041, 2761, 2108, 2828, 2137, 2857, 2042, 2762)(1937, 2657, 2044, 2764, 2094, 2814, 2109, 2829, 2045, 2765)(1938, 2658, 2046, 2766, 2120, 2840, 2118, 2838, 2047, 2767)(1944, 2664, 2051, 2771, 2132, 2852, 2112, 2832, 2052, 2772)(1973, 2693, 2076, 2796, 2105, 2825, 2103, 2823, 2077, 2797)(1974, 2694, 2078, 2798, 2102, 2822, 2099, 2819, 2079, 2799)(1975, 2695, 2080, 2800, 2145, 2865, 2122, 2842, 2081, 2801)(1976, 2696, 2082, 2802, 2146, 2866, 2147, 2867, 2083, 2803)(1988, 2708, 2091, 2811, 2150, 2870, 2140, 2860, 2092, 2812)(1989, 2709, 2093, 2813, 2059, 2779, 2141, 2861, 2073, 2793)(1991, 2711, 2095, 2815, 2043, 2763, 2060, 2780, 2096, 2816)(1992, 2712, 2097, 2817, 2072, 2792, 2070, 2790, 2084, 2804)(1996, 2716, 2100, 2820, 2088, 2808, 2063, 2783, 2101, 2821)(2024, 2744, 2066, 2786, 2056, 2776, 2054, 2774, 2123, 2843)(2025, 2745, 2124, 2844, 2053, 2773, 2050, 2770, 2125, 2845)(2026, 2746, 2049, 2769, 2139, 2859, 2075, 2795, 2126, 2846)(2027, 2747, 2127, 2847, 2144, 2864, 2154, 2874, 2128, 2848)(2048, 2768, 2111, 2831, 2133, 2853, 2074, 2794, 2138, 2858)(2061, 2781, 2142, 2862, 2158, 2878, 2149, 2869, 2090, 2810)(2062, 2782, 2089, 2809, 2121, 2841, 2151, 2871, 2098, 2818)(2064, 2784, 2087, 2807, 2148, 2868, 2157, 2877, 2143, 2863)(2110, 2830, 2152, 2872, 2160, 2880, 2156, 2876, 2134, 2854)(2113, 2833, 2131, 2851, 2155, 2875, 2159, 2879, 2153, 2873)
	L = (1, 1442)(2, 1441)(3, 1447)(4, 1449)(5, 1451)(6, 1453)(7, 1443)(8, 1457)(9, 1444)(10, 1460)(11, 1445)(12, 1463)(13, 1446)(14, 1466)(15, 1465)(16, 1468)(17, 1448)(18, 1472)(19, 1461)(20, 1450)(21, 1459)(22, 1478)(23, 1452)(24, 1482)(25, 1455)(26, 1454)(27, 1487)(28, 1456)(29, 1490)(30, 1489)(31, 1492)(32, 1458)(33, 1496)(34, 1497)(35, 1498)(36, 1494)(37, 1501)(38, 1462)(39, 1504)(40, 1503)(41, 1506)(42, 1464)(43, 1510)(44, 1511)(45, 1512)(46, 1508)(47, 1467)(48, 1517)(49, 1470)(50, 1469)(51, 1522)(52, 1471)(53, 1524)(54, 1476)(55, 1526)(56, 1473)(57, 1474)(58, 1475)(59, 1533)(60, 1534)(61, 1477)(62, 1537)(63, 1480)(64, 1479)(65, 1542)(66, 1481)(67, 1544)(68, 1486)(69, 1546)(70, 1483)(71, 1484)(72, 1485)(73, 1553)(74, 1554)(75, 1551)(76, 1556)(77, 1488)(78, 1560)(79, 1561)(80, 1562)(81, 1558)(82, 1491)(83, 1567)(84, 1493)(85, 1571)(86, 1495)(87, 1574)(88, 1573)(89, 1576)(90, 1578)(91, 1535)(92, 1581)(93, 1499)(94, 1500)(95, 1531)(96, 1587)(97, 1502)(98, 1591)(99, 1592)(100, 1593)(101, 1589)(102, 1505)(103, 1598)(104, 1507)(105, 1602)(106, 1509)(107, 1605)(108, 1604)(109, 1607)(110, 1609)(111, 1515)(112, 1612)(113, 1513)(114, 1514)(115, 1617)(116, 1516)(117, 1619)(118, 1521)(119, 1590)(120, 1518)(121, 1519)(122, 1520)(123, 1627)(124, 1628)(125, 1625)(126, 1630)(127, 1523)(128, 1634)(129, 1635)(130, 1632)(131, 1525)(132, 1603)(133, 1528)(134, 1527)(135, 1644)(136, 1529)(137, 1646)(138, 1530)(139, 1648)(140, 1649)(141, 1532)(142, 1651)(143, 1653)(144, 1655)(145, 1638)(146, 1658)(147, 1536)(148, 1660)(149, 1541)(150, 1559)(151, 1538)(152, 1539)(153, 1540)(154, 1668)(155, 1669)(156, 1666)(157, 1671)(158, 1543)(159, 1675)(160, 1676)(161, 1673)(162, 1545)(163, 1572)(164, 1548)(165, 1547)(166, 1685)(167, 1549)(168, 1687)(169, 1550)(170, 1689)(171, 1690)(172, 1552)(173, 1692)(174, 1694)(175, 1696)(176, 1679)(177, 1555)(178, 1691)(179, 1557)(180, 1704)(181, 1663)(182, 1662)(183, 1706)(184, 1708)(185, 1565)(186, 1711)(187, 1563)(188, 1564)(189, 1716)(190, 1566)(191, 1718)(192, 1570)(193, 1688)(194, 1568)(195, 1569)(196, 1724)(197, 1725)(198, 1585)(199, 1727)(200, 1684)(201, 1729)(202, 1730)(203, 1681)(204, 1575)(205, 1735)(206, 1577)(207, 1674)(208, 1579)(209, 1580)(210, 1659)(211, 1582)(212, 1745)(213, 1583)(214, 1747)(215, 1584)(216, 1749)(217, 1750)(218, 1586)(219, 1650)(220, 1588)(221, 1756)(222, 1622)(223, 1621)(224, 1758)(225, 1760)(226, 1596)(227, 1763)(228, 1594)(229, 1595)(230, 1768)(231, 1597)(232, 1770)(233, 1601)(234, 1647)(235, 1599)(236, 1600)(237, 1776)(238, 1777)(239, 1616)(240, 1779)(241, 1643)(242, 1781)(243, 1782)(244, 1640)(245, 1606)(246, 1787)(247, 1608)(248, 1633)(249, 1610)(250, 1611)(251, 1618)(252, 1613)(253, 1797)(254, 1614)(255, 1799)(256, 1615)(257, 1801)(258, 1802)(259, 1794)(260, 1804)(261, 1774)(262, 1806)(263, 1795)(264, 1620)(265, 1811)(266, 1623)(267, 1813)(268, 1624)(269, 1814)(270, 1815)(271, 1626)(272, 1817)(273, 1819)(274, 1821)(275, 1809)(276, 1629)(277, 1816)(278, 1631)(279, 1829)(280, 1791)(281, 1788)(282, 1753)(283, 1832)(284, 1636)(285, 1637)(286, 1837)(287, 1639)(288, 1838)(289, 1641)(290, 1642)(291, 1841)(292, 1842)(293, 1840)(294, 1844)(295, 1645)(296, 1773)(297, 1848)(298, 1846)(299, 1772)(300, 1852)(301, 1854)(302, 1751)(303, 1755)(304, 1857)(305, 1652)(306, 1860)(307, 1654)(308, 1847)(309, 1656)(310, 1657)(311, 1742)(312, 1869)(313, 1722)(314, 1871)(315, 1743)(316, 1661)(317, 1876)(318, 1664)(319, 1878)(320, 1665)(321, 1879)(322, 1880)(323, 1667)(324, 1882)(325, 1884)(326, 1886)(327, 1874)(328, 1670)(329, 1881)(330, 1672)(331, 1894)(332, 1739)(333, 1736)(334, 1701)(335, 1897)(336, 1677)(337, 1678)(338, 1902)(339, 1680)(340, 1903)(341, 1682)(342, 1683)(343, 1906)(344, 1907)(345, 1905)(346, 1909)(347, 1686)(348, 1721)(349, 1913)(350, 1911)(351, 1720)(352, 1917)(353, 1919)(354, 1699)(355, 1703)(356, 1922)(357, 1693)(358, 1925)(359, 1695)(360, 1912)(361, 1697)(362, 1698)(363, 1933)(364, 1700)(365, 1935)(366, 1702)(367, 1937)(368, 1938)(369, 1715)(370, 1940)(371, 1705)(372, 1944)(373, 1707)(374, 1709)(375, 1710)(376, 1717)(377, 1712)(378, 1900)(379, 1713)(380, 1899)(381, 1714)(382, 1892)(383, 1890)(384, 1949)(385, 1888)(386, 1896)(387, 1887)(388, 1950)(389, 1719)(390, 1926)(391, 1891)(392, 1723)(393, 1960)(394, 1885)(395, 1883)(396, 1958)(397, 1726)(398, 1728)(399, 1968)(400, 1733)(401, 1731)(402, 1732)(403, 1931)(404, 1734)(405, 1930)(406, 1738)(407, 1748)(408, 1737)(409, 1927)(410, 1924)(411, 1973)(412, 1740)(413, 1974)(414, 1741)(415, 1975)(416, 1976)(417, 1744)(418, 1978)(419, 1915)(420, 1746)(421, 1895)(422, 1914)(423, 1981)(424, 1972)(425, 1910)(426, 1908)(427, 1965)(428, 1988)(429, 1752)(430, 1989)(431, 1754)(432, 1991)(433, 1992)(434, 1767)(435, 1942)(436, 1757)(437, 1996)(438, 1759)(439, 1761)(440, 1762)(441, 1769)(442, 1764)(443, 1835)(444, 1765)(445, 1834)(446, 1766)(447, 1827)(448, 1825)(449, 2001)(450, 1823)(451, 1831)(452, 1822)(453, 2002)(454, 1771)(455, 1861)(456, 1826)(457, 1775)(458, 2012)(459, 1820)(460, 1818)(461, 2010)(462, 1778)(463, 1780)(464, 1934)(465, 1785)(466, 1783)(467, 1784)(468, 1866)(469, 1786)(470, 1865)(471, 1790)(472, 1800)(473, 1789)(474, 1862)(475, 1859)(476, 2024)(477, 1792)(478, 2025)(479, 1793)(480, 2026)(481, 2027)(482, 1796)(483, 2029)(484, 1850)(485, 1798)(486, 1830)(487, 1849)(488, 2032)(489, 2023)(490, 1845)(491, 1843)(492, 2017)(493, 1803)(494, 1904)(495, 1805)(496, 2043)(497, 1807)(498, 1808)(499, 2048)(500, 1810)(501, 2049)(502, 1875)(503, 2050)(504, 1812)(505, 2053)(506, 2051)(507, 2054)(508, 2056)(509, 1824)(510, 1828)(511, 2059)(512, 2060)(513, 2052)(514, 2061)(515, 2062)(516, 2063)(517, 2064)(518, 1836)(519, 2066)(520, 1833)(521, 2046)(522, 2045)(523, 2041)(524, 2040)(525, 1867)(526, 2070)(527, 2072)(528, 1839)(529, 2073)(530, 2074)(531, 2075)(532, 1864)(533, 1851)(534, 1853)(535, 1855)(536, 1856)(537, 2084)(538, 1858)(539, 2082)(540, 2081)(541, 1863)(542, 2078)(543, 2077)(544, 2087)(545, 2088)(546, 2089)(547, 2090)(548, 1868)(549, 1870)(550, 2094)(551, 1872)(552, 1873)(553, 2098)(554, 2080)(555, 2099)(556, 1877)(557, 2102)(558, 2100)(559, 2103)(560, 2105)(561, 1889)(562, 1893)(563, 2108)(564, 2109)(565, 2101)(566, 2110)(567, 2111)(568, 2112)(569, 2113)(570, 1901)(571, 2076)(572, 1898)(573, 2097)(574, 2096)(575, 2093)(576, 2092)(577, 1932)(578, 2118)(579, 2120)(580, 2042)(581, 2121)(582, 2122)(583, 1929)(584, 1916)(585, 1918)(586, 1920)(587, 1921)(588, 2047)(589, 1923)(590, 2127)(591, 2126)(592, 1928)(593, 2124)(594, 2123)(595, 2131)(596, 2132)(597, 2133)(598, 2134)(599, 2128)(600, 1964)(601, 1963)(602, 2020)(603, 1936)(604, 2095)(605, 1962)(606, 1961)(607, 2028)(608, 1939)(609, 1941)(610, 1943)(611, 1946)(612, 1953)(613, 1945)(614, 1947)(615, 2116)(616, 1948)(617, 2114)(618, 2140)(619, 1951)(620, 1952)(621, 1954)(622, 1955)(623, 1956)(624, 1957)(625, 2106)(626, 1959)(627, 2115)(628, 2104)(629, 2144)(630, 1966)(631, 2130)(632, 1967)(633, 1969)(634, 1970)(635, 1971)(636, 2011)(637, 1983)(638, 1982)(639, 2125)(640, 1994)(641, 1980)(642, 1979)(643, 2091)(644, 1977)(645, 2129)(646, 2119)(647, 1984)(648, 1985)(649, 1986)(650, 1987)(651, 2083)(652, 2016)(653, 2015)(654, 1990)(655, 2044)(656, 2014)(657, 2013)(658, 1993)(659, 1995)(660, 1998)(661, 2005)(662, 1997)(663, 1999)(664, 2068)(665, 2000)(666, 2065)(667, 2136)(668, 2003)(669, 2004)(670, 2006)(671, 2007)(672, 2008)(673, 2009)(674, 2057)(675, 2067)(676, 2055)(677, 2146)(678, 2018)(679, 2086)(680, 2019)(681, 2021)(682, 2022)(683, 2034)(684, 2033)(685, 2079)(686, 2031)(687, 2030)(688, 2039)(689, 2085)(690, 2071)(691, 2035)(692, 2036)(693, 2037)(694, 2038)(695, 2152)(696, 2107)(697, 2153)(698, 2157)(699, 2148)(700, 2058)(701, 2143)(702, 2150)(703, 2141)(704, 2069)(705, 2155)(706, 2117)(707, 2156)(708, 2139)(709, 2154)(710, 2142)(711, 2159)(712, 2135)(713, 2137)(714, 2149)(715, 2145)(716, 2147)(717, 2138)(718, 2160)(719, 2151)(720, 2158)(721, 2161)(722, 2162)(723, 2163)(724, 2164)(725, 2165)(726, 2166)(727, 2167)(728, 2168)(729, 2169)(730, 2170)(731, 2171)(732, 2172)(733, 2173)(734, 2174)(735, 2175)(736, 2176)(737, 2177)(738, 2178)(739, 2179)(740, 2180)(741, 2181)(742, 2182)(743, 2183)(744, 2184)(745, 2185)(746, 2186)(747, 2187)(748, 2188)(749, 2189)(750, 2190)(751, 2191)(752, 2192)(753, 2193)(754, 2194)(755, 2195)(756, 2196)(757, 2197)(758, 2198)(759, 2199)(760, 2200)(761, 2201)(762, 2202)(763, 2203)(764, 2204)(765, 2205)(766, 2206)(767, 2207)(768, 2208)(769, 2209)(770, 2210)(771, 2211)(772, 2212)(773, 2213)(774, 2214)(775, 2215)(776, 2216)(777, 2217)(778, 2218)(779, 2219)(780, 2220)(781, 2221)(782, 2222)(783, 2223)(784, 2224)(785, 2225)(786, 2226)(787, 2227)(788, 2228)(789, 2229)(790, 2230)(791, 2231)(792, 2232)(793, 2233)(794, 2234)(795, 2235)(796, 2236)(797, 2237)(798, 2238)(799, 2239)(800, 2240)(801, 2241)(802, 2242)(803, 2243)(804, 2244)(805, 2245)(806, 2246)(807, 2247)(808, 2248)(809, 2249)(810, 2250)(811, 2251)(812, 2252)(813, 2253)(814, 2254)(815, 2255)(816, 2256)(817, 2257)(818, 2258)(819, 2259)(820, 2260)(821, 2261)(822, 2262)(823, 2263)(824, 2264)(825, 2265)(826, 2266)(827, 2267)(828, 2268)(829, 2269)(830, 2270)(831, 2271)(832, 2272)(833, 2273)(834, 2274)(835, 2275)(836, 2276)(837, 2277)(838, 2278)(839, 2279)(840, 2280)(841, 2281)(842, 2282)(843, 2283)(844, 2284)(845, 2285)(846, 2286)(847, 2287)(848, 2288)(849, 2289)(850, 2290)(851, 2291)(852, 2292)(853, 2293)(854, 2294)(855, 2295)(856, 2296)(857, 2297)(858, 2298)(859, 2299)(860, 2300)(861, 2301)(862, 2302)(863, 2303)(864, 2304)(865, 2305)(866, 2306)(867, 2307)(868, 2308)(869, 2309)(870, 2310)(871, 2311)(872, 2312)(873, 2313)(874, 2314)(875, 2315)(876, 2316)(877, 2317)(878, 2318)(879, 2319)(880, 2320)(881, 2321)(882, 2322)(883, 2323)(884, 2324)(885, 2325)(886, 2326)(887, 2327)(888, 2328)(889, 2329)(890, 2330)(891, 2331)(892, 2332)(893, 2333)(894, 2334)(895, 2335)(896, 2336)(897, 2337)(898, 2338)(899, 2339)(900, 2340)(901, 2341)(902, 2342)(903, 2343)(904, 2344)(905, 2345)(906, 2346)(907, 2347)(908, 2348)(909, 2349)(910, 2350)(911, 2351)(912, 2352)(913, 2353)(914, 2354)(915, 2355)(916, 2356)(917, 2357)(918, 2358)(919, 2359)(920, 2360)(921, 2361)(922, 2362)(923, 2363)(924, 2364)(925, 2365)(926, 2366)(927, 2367)(928, 2368)(929, 2369)(930, 2370)(931, 2371)(932, 2372)(933, 2373)(934, 2374)(935, 2375)(936, 2376)(937, 2377)(938, 2378)(939, 2379)(940, 2380)(941, 2381)(942, 2382)(943, 2383)(944, 2384)(945, 2385)(946, 2386)(947, 2387)(948, 2388)(949, 2389)(950, 2390)(951, 2391)(952, 2392)(953, 2393)(954, 2394)(955, 2395)(956, 2396)(957, 2397)(958, 2398)(959, 2399)(960, 2400)(961, 2401)(962, 2402)(963, 2403)(964, 2404)(965, 2405)(966, 2406)(967, 2407)(968, 2408)(969, 2409)(970, 2410)(971, 2411)(972, 2412)(973, 2413)(974, 2414)(975, 2415)(976, 2416)(977, 2417)(978, 2418)(979, 2419)(980, 2420)(981, 2421)(982, 2422)(983, 2423)(984, 2424)(985, 2425)(986, 2426)(987, 2427)(988, 2428)(989, 2429)(990, 2430)(991, 2431)(992, 2432)(993, 2433)(994, 2434)(995, 2435)(996, 2436)(997, 2437)(998, 2438)(999, 2439)(1000, 2440)(1001, 2441)(1002, 2442)(1003, 2443)(1004, 2444)(1005, 2445)(1006, 2446)(1007, 2447)(1008, 2448)(1009, 2449)(1010, 2450)(1011, 2451)(1012, 2452)(1013, 2453)(1014, 2454)(1015, 2455)(1016, 2456)(1017, 2457)(1018, 2458)(1019, 2459)(1020, 2460)(1021, 2461)(1022, 2462)(1023, 2463)(1024, 2464)(1025, 2465)(1026, 2466)(1027, 2467)(1028, 2468)(1029, 2469)(1030, 2470)(1031, 2471)(1032, 2472)(1033, 2473)(1034, 2474)(1035, 2475)(1036, 2476)(1037, 2477)(1038, 2478)(1039, 2479)(1040, 2480)(1041, 2481)(1042, 2482)(1043, 2483)(1044, 2484)(1045, 2485)(1046, 2486)(1047, 2487)(1048, 2488)(1049, 2489)(1050, 2490)(1051, 2491)(1052, 2492)(1053, 2493)(1054, 2494)(1055, 2495)(1056, 2496)(1057, 2497)(1058, 2498)(1059, 2499)(1060, 2500)(1061, 2501)(1062, 2502)(1063, 2503)(1064, 2504)(1065, 2505)(1066, 2506)(1067, 2507)(1068, 2508)(1069, 2509)(1070, 2510)(1071, 2511)(1072, 2512)(1073, 2513)(1074, 2514)(1075, 2515)(1076, 2516)(1077, 2517)(1078, 2518)(1079, 2519)(1080, 2520)(1081, 2521)(1082, 2522)(1083, 2523)(1084, 2524)(1085, 2525)(1086, 2526)(1087, 2527)(1088, 2528)(1089, 2529)(1090, 2530)(1091, 2531)(1092, 2532)(1093, 2533)(1094, 2534)(1095, 2535)(1096, 2536)(1097, 2537)(1098, 2538)(1099, 2539)(1100, 2540)(1101, 2541)(1102, 2542)(1103, 2543)(1104, 2544)(1105, 2545)(1106, 2546)(1107, 2547)(1108, 2548)(1109, 2549)(1110, 2550)(1111, 2551)(1112, 2552)(1113, 2553)(1114, 2554)(1115, 2555)(1116, 2556)(1117, 2557)(1118, 2558)(1119, 2559)(1120, 2560)(1121, 2561)(1122, 2562)(1123, 2563)(1124, 2564)(1125, 2565)(1126, 2566)(1127, 2567)(1128, 2568)(1129, 2569)(1130, 2570)(1131, 2571)(1132, 2572)(1133, 2573)(1134, 2574)(1135, 2575)(1136, 2576)(1137, 2577)(1138, 2578)(1139, 2579)(1140, 2580)(1141, 2581)(1142, 2582)(1143, 2583)(1144, 2584)(1145, 2585)(1146, 2586)(1147, 2587)(1148, 2588)(1149, 2589)(1150, 2590)(1151, 2591)(1152, 2592)(1153, 2593)(1154, 2594)(1155, 2595)(1156, 2596)(1157, 2597)(1158, 2598)(1159, 2599)(1160, 2600)(1161, 2601)(1162, 2602)(1163, 2603)(1164, 2604)(1165, 2605)(1166, 2606)(1167, 2607)(1168, 2608)(1169, 2609)(1170, 2610)(1171, 2611)(1172, 2612)(1173, 2613)(1174, 2614)(1175, 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2698)(1259, 2699)(1260, 2700)(1261, 2701)(1262, 2702)(1263, 2703)(1264, 2704)(1265, 2705)(1266, 2706)(1267, 2707)(1268, 2708)(1269, 2709)(1270, 2710)(1271, 2711)(1272, 2712)(1273, 2713)(1274, 2714)(1275, 2715)(1276, 2716)(1277, 2717)(1278, 2718)(1279, 2719)(1280, 2720)(1281, 2721)(1282, 2722)(1283, 2723)(1284, 2724)(1285, 2725)(1286, 2726)(1287, 2727)(1288, 2728)(1289, 2729)(1290, 2730)(1291, 2731)(1292, 2732)(1293, 2733)(1294, 2734)(1295, 2735)(1296, 2736)(1297, 2737)(1298, 2738)(1299, 2739)(1300, 2740)(1301, 2741)(1302, 2742)(1303, 2743)(1304, 2744)(1305, 2745)(1306, 2746)(1307, 2747)(1308, 2748)(1309, 2749)(1310, 2750)(1311, 2751)(1312, 2752)(1313, 2753)(1314, 2754)(1315, 2755)(1316, 2756)(1317, 2757)(1318, 2758)(1319, 2759)(1320, 2760)(1321, 2761)(1322, 2762)(1323, 2763)(1324, 2764)(1325, 2765)(1326, 2766)(1327, 2767)(1328, 2768)(1329, 2769)(1330, 2770)(1331, 2771)(1332, 2772)(1333, 2773)(1334, 2774)(1335, 2775)(1336, 2776)(1337, 2777)(1338, 2778)(1339, 2779)(1340, 2780)(1341, 2781)(1342, 2782)(1343, 2783)(1344, 2784)(1345, 2785)(1346, 2786)(1347, 2787)(1348, 2788)(1349, 2789)(1350, 2790)(1351, 2791)(1352, 2792)(1353, 2793)(1354, 2794)(1355, 2795)(1356, 2796)(1357, 2797)(1358, 2798)(1359, 2799)(1360, 2800)(1361, 2801)(1362, 2802)(1363, 2803)(1364, 2804)(1365, 2805)(1366, 2806)(1367, 2807)(1368, 2808)(1369, 2809)(1370, 2810)(1371, 2811)(1372, 2812)(1373, 2813)(1374, 2814)(1375, 2815)(1376, 2816)(1377, 2817)(1378, 2818)(1379, 2819)(1380, 2820)(1381, 2821)(1382, 2822)(1383, 2823)(1384, 2824)(1385, 2825)(1386, 2826)(1387, 2827)(1388, 2828)(1389, 2829)(1390, 2830)(1391, 2831)(1392, 2832)(1393, 2833)(1394, 2834)(1395, 2835)(1396, 2836)(1397, 2837)(1398, 2838)(1399, 2839)(1400, 2840)(1401, 2841)(1402, 2842)(1403, 2843)(1404, 2844)(1405, 2845)(1406, 2846)(1407, 2847)(1408, 2848)(1409, 2849)(1410, 2850)(1411, 2851)(1412, 2852)(1413, 2853)(1414, 2854)(1415, 2855)(1416, 2856)(1417, 2857)(1418, 2858)(1419, 2859)(1420, 2860)(1421, 2861)(1422, 2862)(1423, 2863)(1424, 2864)(1425, 2865)(1426, 2866)(1427, 2867)(1428, 2868)(1429, 2869)(1430, 2870)(1431, 2871)(1432, 2872)(1433, 2873)(1434, 2874)(1435, 2875)(1436, 2876)(1437, 2877)(1438, 2878)(1439, 2879)(1440, 2880)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E19.2442
Graph:: bipartite
	v = 504 e = 1440 f = 900
	degree seq :: [ 4^360, 10^144 ]

E19.2442 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = C2 x A6 (small group id <720, 766>)
Aut   = $<1440, 5843>$ (small group id <1440, 5843>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y3^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1^2 * Y3 * Y1^-1 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-1, Y1^-1 * Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1^-1 * Y3, Y1 * Y3^-2 * Y1^-2 * Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-2 * Y3^-2 * Y1 * Y3^-2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal
	R = (1, 721, 2, 722, 6, 726, 4, 724)(3, 723, 9, 729, 21, 741, 11, 731)(5, 725, 13, 733, 18, 738, 7, 727)(8, 728, 19, 739, 32, 752, 15, 735)(10, 730, 23, 743, 44, 764, 24, 744)(12, 732, 16, 736, 33, 753, 27, 747)(14, 734, 30, 750, 53, 773, 28, 748)(17, 737, 35, 755, 63, 783, 36, 756)(20, 740, 40, 760, 69, 789, 38, 758)(22, 742, 43, 763, 74, 794, 41, 761)(25, 745, 42, 762, 75, 795, 48, 768)(26, 746, 49, 769, 86, 806, 50, 770)(29, 749, 54, 774, 67, 787, 37, 757)(31, 751, 57, 777, 98, 818, 58, 778)(34, 754, 62, 782, 104, 824, 60, 780)(39, 759, 70, 790, 102, 822, 59, 779)(45, 765, 80, 800, 132, 852, 78, 798)(46, 766, 79, 799, 133, 853, 82, 802)(47, 767, 83, 803, 139, 859, 84, 804)(51, 771, 61, 781, 105, 825, 90, 810)(52, 772, 91, 811, 151, 871, 92, 812)(55, 775, 96, 816, 157, 877, 94, 814)(56, 776, 97, 817, 155, 875, 93, 813)(64, 784, 110, 830, 178, 898, 108, 828)(65, 785, 109, 829, 179, 899, 112, 832)(66, 786, 113, 833, 185, 905, 114, 834)(68, 788, 116, 836, 190, 910, 117, 837)(71, 791, 121, 841, 196, 916, 119, 839)(72, 792, 122, 842, 194, 914, 118, 838)(73, 793, 123, 843, 201, 921, 124, 844)(76, 796, 128, 848, 207, 927, 126, 846)(77, 797, 129, 849, 205, 925, 125, 845)(81, 801, 136, 856, 222, 942, 137, 857)(85, 805, 127, 847, 208, 928, 143, 863)(87, 807, 146, 866, 235, 955, 144, 864)(88, 808, 145, 865, 236, 956, 147, 867)(89, 809, 148, 868, 240, 960, 149, 869)(95, 815, 158, 878, 189, 909, 115, 835)(99, 819, 164, 884, 263, 983, 162, 882)(100, 820, 163, 883, 264, 984, 166, 886)(101, 821, 167, 887, 270, 990, 168, 888)(103, 823, 170, 890, 275, 995, 171, 891)(106, 826, 175, 895, 281, 1001, 173, 893)(107, 827, 176, 896, 279, 999, 172, 892)(111, 831, 182, 902, 294, 1014, 183, 903)(120, 840, 197, 917, 274, 994, 169, 889)(130, 850, 213, 933, 337, 1057, 211, 931)(131, 851, 214, 934, 276, 996, 215, 935)(134, 854, 219, 939, 345, 1065, 217, 937)(135, 855, 220, 940, 343, 1063, 216, 936)(138, 858, 218, 938, 346, 1066, 226, 946)(140, 860, 229, 949, 360, 1080, 227, 947)(141, 861, 228, 948, 361, 1081, 230, 950)(142, 862, 231, 951, 365, 1085, 232, 952)(150, 870, 174, 894, 282, 1002, 244, 964)(152, 872, 247, 967, 262, 982, 245, 965)(153, 873, 246, 966, 385, 1105, 249, 969)(154, 874, 250, 970, 391, 1111, 251, 971)(156, 876, 253, 973, 396, 1116, 254, 974)(159, 879, 258, 978, 402, 1122, 256, 976)(160, 880, 259, 979, 400, 1120, 255, 975)(161, 881, 260, 980, 395, 1115, 252, 972)(165, 885, 267, 987, 414, 1134, 268, 988)(177, 897, 286, 1006, 202, 922, 287, 1007)(180, 900, 291, 1011, 441, 1161, 289, 1009)(181, 901, 292, 1012, 439, 1159, 288, 1008)(184, 904, 290, 1010, 442, 1162, 298, 1018)(186, 906, 301, 1021, 344, 1064, 299, 1019)(187, 907, 300, 1020, 455, 1175, 302, 1022)(188, 908, 303, 1023, 459, 1179, 304, 1024)(191, 911, 308, 1028, 234, 954, 306, 1026)(192, 912, 307, 1027, 464, 1184, 310, 1030)(193, 913, 311, 1031, 397, 1117, 312, 1032)(195, 915, 314, 1034, 471, 1191, 315, 1035)(198, 918, 319, 1039, 477, 1197, 317, 1037)(199, 919, 320, 1040, 475, 1195, 316, 1036)(200, 920, 321, 1041, 470, 1190, 313, 1033)(203, 923, 323, 1043, 485, 1205, 325, 1045)(204, 924, 326, 1046, 489, 1209, 327, 1047)(206, 926, 329, 1049, 392, 1112, 330, 1050)(209, 929, 334, 1054, 498, 1218, 332, 1052)(210, 930, 335, 1055, 496, 1216, 331, 1051)(212, 932, 338, 1058, 493, 1213, 328, 1048)(221, 941, 351, 1071, 515, 1235, 349, 1069)(223, 943, 354, 1074, 520, 1240, 352, 1072)(224, 944, 353, 1073, 521, 1241, 355, 1075)(225, 945, 356, 1076, 438, 1158, 357, 1077)(233, 953, 333, 1053, 499, 1219, 369, 1089)(237, 957, 373, 1093, 359, 1079, 371, 1091)(238, 958, 374, 1094, 542, 1262, 370, 1090)(239, 959, 372, 1092, 543, 1263, 377, 1097)(241, 961, 380, 1100, 549, 1269, 378, 1098)(242, 962, 379, 1099, 550, 1270, 381, 1101)(243, 963, 382, 1102, 517, 1237, 383, 1103)(248, 968, 388, 1108, 560, 1280, 389, 1109)(257, 977, 403, 1123, 463, 1183, 305, 1025)(261, 981, 409, 1129, 417, 1137, 407, 1127)(265, 985, 387, 1107, 548, 1268, 410, 1130)(266, 986, 412, 1132, 557, 1277, 386, 1106)(269, 989, 411, 1131, 581, 1301, 418, 1138)(271, 991, 421, 1141, 440, 1160, 419, 1139)(272, 992, 420, 1140, 588, 1308, 422, 1142)(273, 993, 423, 1143, 592, 1312, 424, 1144)(277, 997, 342, 1062, 509, 1229, 427, 1147)(278, 998, 428, 1148, 472, 1192, 341, 1061)(280, 1000, 430, 1150, 490, 1210, 431, 1151)(283, 1003, 435, 1155, 606, 1326, 433, 1153)(284, 1004, 436, 1156, 604, 1324, 432, 1152)(285, 1005, 437, 1157, 601, 1321, 429, 1149)(293, 1013, 447, 1167, 615, 1335, 445, 1165)(295, 1015, 450, 1170, 617, 1337, 448, 1168)(296, 1016, 449, 1169, 618, 1338, 451, 1171)(297, 1017, 452, 1172, 339, 1059, 453, 1173)(309, 1029, 465, 1185, 577, 1297, 466, 1186)(318, 1038, 478, 1198, 596, 1316, 425, 1145)(322, 1042, 484, 1204, 376, 1096, 482, 1202)(324, 1044, 486, 1206, 650, 1370, 487, 1207)(336, 1056, 503, 1223, 658, 1378, 504, 1224)(340, 1060, 507, 1227, 661, 1381, 505, 1225)(347, 1067, 457, 1177, 625, 1345, 511, 1231)(348, 1068, 513, 1233, 623, 1343, 456, 1176)(350, 1070, 516, 1236, 665, 1385, 510, 1230)(358, 1078, 512, 1232, 595, 1315, 527, 1247)(362, 1082, 531, 1251, 519, 1239, 529, 1249)(363, 1083, 532, 1252, 676, 1396, 528, 1248)(364, 1084, 530, 1250, 594, 1314, 535, 1255)(366, 1086, 537, 1257, 611, 1331, 446, 1166)(367, 1087, 536, 1256, 591, 1311, 538, 1258)(368, 1088, 539, 1259, 579, 1299, 540, 1260)(375, 1095, 546, 1266, 534, 1254, 544, 1264)(384, 1104, 434, 1154, 607, 1327, 556, 1276)(390, 1110, 558, 1278, 641, 1361, 476, 1196)(393, 1113, 495, 1215, 656, 1376, 563, 1283)(394, 1114, 564, 1284, 655, 1375, 494, 1214)(398, 1118, 469, 1189, 635, 1355, 567, 1287)(399, 1119, 568, 1288, 522, 1242, 468, 1188)(401, 1121, 488, 1208, 649, 1369, 570, 1290)(404, 1124, 574, 1294, 526, 1246, 572, 1292)(405, 1125, 575, 1295, 610, 1330, 571, 1291)(406, 1126, 576, 1296, 609, 1329, 569, 1289)(408, 1128, 578, 1298, 608, 1328, 565, 1285)(413, 1133, 585, 1305, 685, 1405, 583, 1303)(415, 1135, 580, 1300, 694, 1414, 586, 1306)(416, 1136, 587, 1307, 675, 1395, 525, 1245)(426, 1146, 597, 1317, 647, 1367, 598, 1318)(443, 1163, 590, 1310, 698, 1418, 612, 1332)(444, 1164, 614, 1334, 697, 1417, 589, 1309)(454, 1174, 613, 1333, 555, 1275, 622, 1342)(458, 1178, 624, 1344, 554, 1274, 514, 1234)(460, 1180, 628, 1348, 686, 1406, 584, 1304)(461, 1181, 627, 1347, 553, 1273, 629, 1349)(462, 1182, 630, 1350, 547, 1267, 631, 1351)(467, 1187, 633, 1353, 689, 1409, 605, 1325)(473, 1193, 600, 1320, 701, 1421, 638, 1358)(474, 1194, 639, 1359, 619, 1339, 508, 1228)(479, 1199, 644, 1364, 506, 1226, 642, 1362)(480, 1200, 645, 1365, 502, 1222, 561, 1281)(481, 1201, 646, 1366, 501, 1221, 640, 1360)(483, 1203, 648, 1368, 500, 1220, 636, 1356)(491, 1211, 603, 1323, 704, 1424, 652, 1372)(492, 1212, 653, 1373, 703, 1423, 602, 1322)(497, 1217, 599, 1319, 663, 1383, 657, 1377)(518, 1238, 668, 1388, 696, 1416, 616, 1336)(523, 1243, 671, 1391, 699, 1419, 669, 1389)(524, 1244, 670, 1390, 702, 1422, 674, 1394)(533, 1253, 679, 1399, 673, 1393, 677, 1397)(541, 1261, 632, 1352, 573, 1293, 643, 1363)(545, 1265, 593, 1313, 667, 1387, 681, 1401)(551, 1271, 559, 1279, 660, 1380, 682, 1402)(552, 1272, 683, 1403, 695, 1415, 582, 1302)(562, 1282, 651, 1371, 700, 1420, 634, 1354)(566, 1286, 690, 1410, 672, 1392, 691, 1411)(620, 1340, 709, 1429, 684, 1404, 707, 1427)(621, 1341, 708, 1428, 654, 1374, 710, 1430)(626, 1346, 713, 1433, 662, 1382, 711, 1431)(637, 1357, 717, 1437, 659, 1379, 718, 1438)(664, 1384, 706, 1426, 692, 1412, 716, 1436)(666, 1386, 712, 1432, 688, 1408, 715, 1435)(678, 1398, 720, 1440, 687, 1407, 714, 1434)(680, 1400, 719, 1439, 693, 1413, 705, 1425)(1441, 2161)(1442, 2162)(1443, 2163)(1444, 2164)(1445, 2165)(1446, 2166)(1447, 2167)(1448, 2168)(1449, 2169)(1450, 2170)(1451, 2171)(1452, 2172)(1453, 2173)(1454, 2174)(1455, 2175)(1456, 2176)(1457, 2177)(1458, 2178)(1459, 2179)(1460, 2180)(1461, 2181)(1462, 2182)(1463, 2183)(1464, 2184)(1465, 2185)(1466, 2186)(1467, 2187)(1468, 2188)(1469, 2189)(1470, 2190)(1471, 2191)(1472, 2192)(1473, 2193)(1474, 2194)(1475, 2195)(1476, 2196)(1477, 2197)(1478, 2198)(1479, 2199)(1480, 2200)(1481, 2201)(1482, 2202)(1483, 2203)(1484, 2204)(1485, 2205)(1486, 2206)(1487, 2207)(1488, 2208)(1489, 2209)(1490, 2210)(1491, 2211)(1492, 2212)(1493, 2213)(1494, 2214)(1495, 2215)(1496, 2216)(1497, 2217)(1498, 2218)(1499, 2219)(1500, 2220)(1501, 2221)(1502, 2222)(1503, 2223)(1504, 2224)(1505, 2225)(1506, 2226)(1507, 2227)(1508, 2228)(1509, 2229)(1510, 2230)(1511, 2231)(1512, 2232)(1513, 2233)(1514, 2234)(1515, 2235)(1516, 2236)(1517, 2237)(1518, 2238)(1519, 2239)(1520, 2240)(1521, 2241)(1522, 2242)(1523, 2243)(1524, 2244)(1525, 2245)(1526, 2246)(1527, 2247)(1528, 2248)(1529, 2249)(1530, 2250)(1531, 2251)(1532, 2252)(1533, 2253)(1534, 2254)(1535, 2255)(1536, 2256)(1537, 2257)(1538, 2258)(1539, 2259)(1540, 2260)(1541, 2261)(1542, 2262)(1543, 2263)(1544, 2264)(1545, 2265)(1546, 2266)(1547, 2267)(1548, 2268)(1549, 2269)(1550, 2270)(1551, 2271)(1552, 2272)(1553, 2273)(1554, 2274)(1555, 2275)(1556, 2276)(1557, 2277)(1558, 2278)(1559, 2279)(1560, 2280)(1561, 2281)(1562, 2282)(1563, 2283)(1564, 2284)(1565, 2285)(1566, 2286)(1567, 2287)(1568, 2288)(1569, 2289)(1570, 2290)(1571, 2291)(1572, 2292)(1573, 2293)(1574, 2294)(1575, 2295)(1576, 2296)(1577, 2297)(1578, 2298)(1579, 2299)(1580, 2300)(1581, 2301)(1582, 2302)(1583, 2303)(1584, 2304)(1585, 2305)(1586, 2306)(1587, 2307)(1588, 2308)(1589, 2309)(1590, 2310)(1591, 2311)(1592, 2312)(1593, 2313)(1594, 2314)(1595, 2315)(1596, 2316)(1597, 2317)(1598, 2318)(1599, 2319)(1600, 2320)(1601, 2321)(1602, 2322)(1603, 2323)(1604, 2324)(1605, 2325)(1606, 2326)(1607, 2327)(1608, 2328)(1609, 2329)(1610, 2330)(1611, 2331)(1612, 2332)(1613, 2333)(1614, 2334)(1615, 2335)(1616, 2336)(1617, 2337)(1618, 2338)(1619, 2339)(1620, 2340)(1621, 2341)(1622, 2342)(1623, 2343)(1624, 2344)(1625, 2345)(1626, 2346)(1627, 2347)(1628, 2348)(1629, 2349)(1630, 2350)(1631, 2351)(1632, 2352)(1633, 2353)(1634, 2354)(1635, 2355)(1636, 2356)(1637, 2357)(1638, 2358)(1639, 2359)(1640, 2360)(1641, 2361)(1642, 2362)(1643, 2363)(1644, 2364)(1645, 2365)(1646, 2366)(1647, 2367)(1648, 2368)(1649, 2369)(1650, 2370)(1651, 2371)(1652, 2372)(1653, 2373)(1654, 2374)(1655, 2375)(1656, 2376)(1657, 2377)(1658, 2378)(1659, 2379)(1660, 2380)(1661, 2381)(1662, 2382)(1663, 2383)(1664, 2384)(1665, 2385)(1666, 2386)(1667, 2387)(1668, 2388)(1669, 2389)(1670, 2390)(1671, 2391)(1672, 2392)(1673, 2393)(1674, 2394)(1675, 2395)(1676, 2396)(1677, 2397)(1678, 2398)(1679, 2399)(1680, 2400)(1681, 2401)(1682, 2402)(1683, 2403)(1684, 2404)(1685, 2405)(1686, 2406)(1687, 2407)(1688, 2408)(1689, 2409)(1690, 2410)(1691, 2411)(1692, 2412)(1693, 2413)(1694, 2414)(1695, 2415)(1696, 2416)(1697, 2417)(1698, 2418)(1699, 2419)(1700, 2420)(1701, 2421)(1702, 2422)(1703, 2423)(1704, 2424)(1705, 2425)(1706, 2426)(1707, 2427)(1708, 2428)(1709, 2429)(1710, 2430)(1711, 2431)(1712, 2432)(1713, 2433)(1714, 2434)(1715, 2435)(1716, 2436)(1717, 2437)(1718, 2438)(1719, 2439)(1720, 2440)(1721, 2441)(1722, 2442)(1723, 2443)(1724, 2444)(1725, 2445)(1726, 2446)(1727, 2447)(1728, 2448)(1729, 2449)(1730, 2450)(1731, 2451)(1732, 2452)(1733, 2453)(1734, 2454)(1735, 2455)(1736, 2456)(1737, 2457)(1738, 2458)(1739, 2459)(1740, 2460)(1741, 2461)(1742, 2462)(1743, 2463)(1744, 2464)(1745, 2465)(1746, 2466)(1747, 2467)(1748, 2468)(1749, 2469)(1750, 2470)(1751, 2471)(1752, 2472)(1753, 2473)(1754, 2474)(1755, 2475)(1756, 2476)(1757, 2477)(1758, 2478)(1759, 2479)(1760, 2480)(1761, 2481)(1762, 2482)(1763, 2483)(1764, 2484)(1765, 2485)(1766, 2486)(1767, 2487)(1768, 2488)(1769, 2489)(1770, 2490)(1771, 2491)(1772, 2492)(1773, 2493)(1774, 2494)(1775, 2495)(1776, 2496)(1777, 2497)(1778, 2498)(1779, 2499)(1780, 2500)(1781, 2501)(1782, 2502)(1783, 2503)(1784, 2504)(1785, 2505)(1786, 2506)(1787, 2507)(1788, 2508)(1789, 2509)(1790, 2510)(1791, 2511)(1792, 2512)(1793, 2513)(1794, 2514)(1795, 2515)(1796, 2516)(1797, 2517)(1798, 2518)(1799, 2519)(1800, 2520)(1801, 2521)(1802, 2522)(1803, 2523)(1804, 2524)(1805, 2525)(1806, 2526)(1807, 2527)(1808, 2528)(1809, 2529)(1810, 2530)(1811, 2531)(1812, 2532)(1813, 2533)(1814, 2534)(1815, 2535)(1816, 2536)(1817, 2537)(1818, 2538)(1819, 2539)(1820, 2540)(1821, 2541)(1822, 2542)(1823, 2543)(1824, 2544)(1825, 2545)(1826, 2546)(1827, 2547)(1828, 2548)(1829, 2549)(1830, 2550)(1831, 2551)(1832, 2552)(1833, 2553)(1834, 2554)(1835, 2555)(1836, 2556)(1837, 2557)(1838, 2558)(1839, 2559)(1840, 2560)(1841, 2561)(1842, 2562)(1843, 2563)(1844, 2564)(1845, 2565)(1846, 2566)(1847, 2567)(1848, 2568)(1849, 2569)(1850, 2570)(1851, 2571)(1852, 2572)(1853, 2573)(1854, 2574)(1855, 2575)(1856, 2576)(1857, 2577)(1858, 2578)(1859, 2579)(1860, 2580)(1861, 2581)(1862, 2582)(1863, 2583)(1864, 2584)(1865, 2585)(1866, 2586)(1867, 2587)(1868, 2588)(1869, 2589)(1870, 2590)(1871, 2591)(1872, 2592)(1873, 2593)(1874, 2594)(1875, 2595)(1876, 2596)(1877, 2597)(1878, 2598)(1879, 2599)(1880, 2600)(1881, 2601)(1882, 2602)(1883, 2603)(1884, 2604)(1885, 2605)(1886, 2606)(1887, 2607)(1888, 2608)(1889, 2609)(1890, 2610)(1891, 2611)(1892, 2612)(1893, 2613)(1894, 2614)(1895, 2615)(1896, 2616)(1897, 2617)(1898, 2618)(1899, 2619)(1900, 2620)(1901, 2621)(1902, 2622)(1903, 2623)(1904, 2624)(1905, 2625)(1906, 2626)(1907, 2627)(1908, 2628)(1909, 2629)(1910, 2630)(1911, 2631)(1912, 2632)(1913, 2633)(1914, 2634)(1915, 2635)(1916, 2636)(1917, 2637)(1918, 2638)(1919, 2639)(1920, 2640)(1921, 2641)(1922, 2642)(1923, 2643)(1924, 2644)(1925, 2645)(1926, 2646)(1927, 2647)(1928, 2648)(1929, 2649)(1930, 2650)(1931, 2651)(1932, 2652)(1933, 2653)(1934, 2654)(1935, 2655)(1936, 2656)(1937, 2657)(1938, 2658)(1939, 2659)(1940, 2660)(1941, 2661)(1942, 2662)(1943, 2663)(1944, 2664)(1945, 2665)(1946, 2666)(1947, 2667)(1948, 2668)(1949, 2669)(1950, 2670)(1951, 2671)(1952, 2672)(1953, 2673)(1954, 2674)(1955, 2675)(1956, 2676)(1957, 2677)(1958, 2678)(1959, 2679)(1960, 2680)(1961, 2681)(1962, 2682)(1963, 2683)(1964, 2684)(1965, 2685)(1966, 2686)(1967, 2687)(1968, 2688)(1969, 2689)(1970, 2690)(1971, 2691)(1972, 2692)(1973, 2693)(1974, 2694)(1975, 2695)(1976, 2696)(1977, 2697)(1978, 2698)(1979, 2699)(1980, 2700)(1981, 2701)(1982, 2702)(1983, 2703)(1984, 2704)(1985, 2705)(1986, 2706)(1987, 2707)(1988, 2708)(1989, 2709)(1990, 2710)(1991, 2711)(1992, 2712)(1993, 2713)(1994, 2714)(1995, 2715)(1996, 2716)(1997, 2717)(1998, 2718)(1999, 2719)(2000, 2720)(2001, 2721)(2002, 2722)(2003, 2723)(2004, 2724)(2005, 2725)(2006, 2726)(2007, 2727)(2008, 2728)(2009, 2729)(2010, 2730)(2011, 2731)(2012, 2732)(2013, 2733)(2014, 2734)(2015, 2735)(2016, 2736)(2017, 2737)(2018, 2738)(2019, 2739)(2020, 2740)(2021, 2741)(2022, 2742)(2023, 2743)(2024, 2744)(2025, 2745)(2026, 2746)(2027, 2747)(2028, 2748)(2029, 2749)(2030, 2750)(2031, 2751)(2032, 2752)(2033, 2753)(2034, 2754)(2035, 2755)(2036, 2756)(2037, 2757)(2038, 2758)(2039, 2759)(2040, 2760)(2041, 2761)(2042, 2762)(2043, 2763)(2044, 2764)(2045, 2765)(2046, 2766)(2047, 2767)(2048, 2768)(2049, 2769)(2050, 2770)(2051, 2771)(2052, 2772)(2053, 2773)(2054, 2774)(2055, 2775)(2056, 2776)(2057, 2777)(2058, 2778)(2059, 2779)(2060, 2780)(2061, 2781)(2062, 2782)(2063, 2783)(2064, 2784)(2065, 2785)(2066, 2786)(2067, 2787)(2068, 2788)(2069, 2789)(2070, 2790)(2071, 2791)(2072, 2792)(2073, 2793)(2074, 2794)(2075, 2795)(2076, 2796)(2077, 2797)(2078, 2798)(2079, 2799)(2080, 2800)(2081, 2801)(2082, 2802)(2083, 2803)(2084, 2804)(2085, 2805)(2086, 2806)(2087, 2807)(2088, 2808)(2089, 2809)(2090, 2810)(2091, 2811)(2092, 2812)(2093, 2813)(2094, 2814)(2095, 2815)(2096, 2816)(2097, 2817)(2098, 2818)(2099, 2819)(2100, 2820)(2101, 2821)(2102, 2822)(2103, 2823)(2104, 2824)(2105, 2825)(2106, 2826)(2107, 2827)(2108, 2828)(2109, 2829)(2110, 2830)(2111, 2831)(2112, 2832)(2113, 2833)(2114, 2834)(2115, 2835)(2116, 2836)(2117, 2837)(2118, 2838)(2119, 2839)(2120, 2840)(2121, 2841)(2122, 2842)(2123, 2843)(2124, 2844)(2125, 2845)(2126, 2846)(2127, 2847)(2128, 2848)(2129, 2849)(2130, 2850)(2131, 2851)(2132, 2852)(2133, 2853)(2134, 2854)(2135, 2855)(2136, 2856)(2137, 2857)(2138, 2858)(2139, 2859)(2140, 2860)(2141, 2861)(2142, 2862)(2143, 2863)(2144, 2864)(2145, 2865)(2146, 2866)(2147, 2867)(2148, 2868)(2149, 2869)(2150, 2870)(2151, 2871)(2152, 2872)(2153, 2873)(2154, 2874)(2155, 2875)(2156, 2876)(2157, 2877)(2158, 2878)(2159, 2879)(2160, 2880)
	L = (1, 1443)(2, 1447)(3, 1450)(4, 1452)(5, 1441)(6, 1455)(7, 1457)(8, 1442)(9, 1444)(10, 1454)(11, 1465)(12, 1466)(13, 1468)(14, 1445)(15, 1471)(16, 1446)(17, 1460)(18, 1477)(19, 1478)(20, 1448)(21, 1481)(22, 1449)(23, 1451)(24, 1486)(25, 1487)(26, 1462)(27, 1491)(28, 1492)(29, 1453)(30, 1464)(31, 1474)(32, 1499)(33, 1500)(34, 1456)(35, 1458)(36, 1505)(37, 1506)(38, 1508)(39, 1459)(40, 1476)(41, 1513)(42, 1461)(43, 1490)(44, 1518)(45, 1463)(46, 1521)(47, 1485)(48, 1525)(49, 1467)(50, 1528)(51, 1529)(52, 1495)(53, 1533)(54, 1534)(55, 1469)(56, 1470)(57, 1472)(58, 1540)(59, 1541)(60, 1543)(61, 1473)(62, 1498)(63, 1548)(64, 1475)(65, 1551)(66, 1504)(67, 1555)(68, 1511)(69, 1558)(70, 1559)(71, 1479)(72, 1480)(73, 1516)(74, 1565)(75, 1566)(76, 1482)(77, 1483)(78, 1571)(79, 1484)(80, 1524)(81, 1496)(82, 1578)(83, 1488)(84, 1581)(85, 1582)(86, 1584)(87, 1489)(88, 1570)(89, 1527)(90, 1590)(91, 1493)(92, 1593)(93, 1594)(94, 1596)(95, 1494)(96, 1532)(97, 1577)(98, 1602)(99, 1497)(100, 1605)(101, 1539)(102, 1609)(103, 1546)(104, 1612)(105, 1613)(106, 1501)(107, 1502)(108, 1617)(109, 1503)(110, 1554)(111, 1512)(112, 1624)(113, 1507)(114, 1627)(115, 1628)(116, 1509)(117, 1632)(118, 1633)(119, 1635)(120, 1510)(121, 1557)(122, 1623)(123, 1514)(124, 1643)(125, 1644)(126, 1646)(127, 1515)(128, 1564)(129, 1651)(130, 1517)(131, 1574)(132, 1656)(133, 1657)(134, 1519)(135, 1520)(136, 1522)(137, 1664)(138, 1665)(139, 1667)(140, 1523)(141, 1661)(142, 1580)(143, 1673)(144, 1674)(145, 1526)(146, 1589)(147, 1679)(148, 1530)(149, 1682)(150, 1683)(151, 1685)(152, 1531)(153, 1688)(154, 1592)(155, 1692)(156, 1599)(157, 1695)(158, 1696)(159, 1535)(160, 1536)(161, 1537)(162, 1702)(163, 1538)(164, 1608)(165, 1547)(166, 1709)(167, 1542)(168, 1712)(169, 1713)(170, 1544)(171, 1717)(172, 1718)(173, 1720)(174, 1545)(175, 1611)(176, 1708)(177, 1620)(178, 1728)(179, 1729)(180, 1549)(181, 1550)(182, 1552)(183, 1736)(184, 1737)(185, 1739)(186, 1553)(187, 1733)(188, 1626)(189, 1745)(190, 1746)(191, 1556)(192, 1749)(193, 1631)(194, 1753)(195, 1638)(196, 1756)(197, 1757)(198, 1560)(199, 1561)(200, 1562)(201, 1726)(202, 1563)(203, 1764)(204, 1642)(205, 1768)(206, 1649)(207, 1771)(208, 1772)(209, 1567)(210, 1568)(211, 1776)(212, 1569)(213, 1587)(214, 1572)(215, 1781)(216, 1782)(217, 1784)(218, 1573)(219, 1655)(220, 1789)(221, 1575)(222, 1792)(223, 1576)(224, 1701)(225, 1663)(226, 1798)(227, 1799)(228, 1579)(229, 1672)(230, 1804)(231, 1583)(232, 1807)(233, 1808)(234, 1677)(235, 1810)(236, 1811)(237, 1585)(238, 1586)(239, 1816)(240, 1818)(241, 1588)(242, 1815)(243, 1681)(244, 1824)(245, 1703)(246, 1591)(247, 1691)(248, 1600)(249, 1830)(250, 1595)(251, 1833)(252, 1834)(253, 1597)(254, 1838)(255, 1839)(256, 1841)(257, 1598)(258, 1694)(259, 1829)(260, 1847)(261, 1601)(262, 1705)(263, 1826)(264, 1850)(265, 1603)(266, 1604)(267, 1606)(268, 1856)(269, 1857)(270, 1859)(271, 1607)(272, 1853)(273, 1711)(274, 1865)(275, 1654)(276, 1610)(277, 1866)(278, 1716)(279, 1869)(280, 1723)(281, 1872)(282, 1873)(283, 1614)(284, 1615)(285, 1616)(286, 1618)(287, 1767)(288, 1763)(289, 1880)(290, 1619)(291, 1727)(292, 1885)(293, 1621)(294, 1888)(295, 1622)(296, 1762)(297, 1735)(298, 1894)(299, 1785)(300, 1625)(301, 1744)(302, 1898)(303, 1629)(304, 1901)(305, 1902)(306, 1675)(307, 1630)(308, 1752)(309, 1639)(310, 1907)(311, 1634)(312, 1908)(313, 1909)(314, 1636)(315, 1913)(316, 1914)(317, 1916)(318, 1637)(319, 1755)(320, 1906)(321, 1922)(322, 1640)(323, 1641)(324, 1650)(325, 1928)(326, 1645)(327, 1931)(328, 1932)(329, 1647)(330, 1934)(331, 1935)(332, 1937)(333, 1648)(334, 1770)(335, 1927)(336, 1779)(337, 1945)(338, 1892)(339, 1652)(340, 1653)(341, 1948)(342, 1715)(343, 1950)(344, 1787)(345, 1896)(346, 1951)(347, 1658)(348, 1659)(349, 1954)(350, 1660)(351, 1670)(352, 1959)(353, 1662)(354, 1797)(355, 1964)(356, 1666)(357, 1965)(358, 1966)(359, 1802)(360, 1968)(361, 1969)(362, 1668)(363, 1669)(364, 1974)(365, 1886)(366, 1671)(367, 1973)(368, 1806)(369, 1981)(370, 1747)(371, 1800)(372, 1676)(373, 1748)(374, 1984)(375, 1678)(376, 1780)(377, 1987)(378, 1988)(379, 1680)(380, 1823)(381, 1993)(382, 1684)(383, 1994)(384, 1995)(385, 1997)(386, 1686)(387, 1687)(388, 1689)(389, 2002)(390, 1917)(391, 1769)(392, 1690)(393, 1999)(394, 1832)(395, 2005)(396, 1751)(397, 1693)(398, 2006)(399, 1837)(400, 2009)(401, 1844)(402, 2011)(403, 2012)(404, 1697)(405, 1698)(406, 1699)(407, 1858)(408, 1700)(409, 1795)(410, 1989)(411, 1704)(412, 2023)(413, 1706)(414, 2026)(415, 1707)(416, 1878)(417, 1855)(418, 2019)(419, 1881)(420, 1710)(421, 1864)(422, 2031)(423, 1714)(424, 2034)(425, 2035)(426, 1724)(427, 2039)(428, 1719)(429, 2040)(430, 1721)(431, 2042)(432, 2043)(433, 2045)(434, 1722)(435, 1871)(436, 2038)(437, 1796)(438, 1725)(439, 2051)(440, 1883)(441, 2029)(442, 2052)(443, 1730)(444, 1731)(445, 1976)(446, 1732)(447, 1742)(448, 1953)(449, 1734)(450, 1893)(451, 2061)(452, 1738)(453, 1944)(454, 1946)(455, 2063)(456, 1740)(457, 1741)(458, 1955)(459, 2024)(460, 1743)(461, 2066)(462, 1900)(463, 2072)(464, 1982)(465, 1750)(466, 2074)(467, 2046)(468, 1971)(469, 1836)(470, 2076)(471, 1868)(472, 1754)(473, 2077)(474, 1912)(475, 2080)(476, 1919)(477, 2001)(478, 2082)(479, 1758)(480, 1759)(481, 1760)(482, 1817)(483, 1761)(484, 1891)(485, 1879)(486, 1765)(487, 2091)(488, 1842)(489, 1870)(490, 1766)(491, 1884)(492, 1930)(493, 2084)(494, 2094)(495, 1831)(496, 2085)(497, 1940)(498, 2086)(499, 2088)(500, 1773)(501, 1774)(502, 1775)(503, 1777)(504, 2099)(505, 2100)(506, 1778)(507, 1924)(508, 1788)(509, 1783)(510, 2104)(511, 2106)(512, 1786)(513, 2059)(514, 1957)(515, 2056)(516, 1822)(517, 1790)(518, 1791)(519, 1962)(520, 2109)(521, 2008)(522, 1793)(523, 1794)(524, 2113)(525, 2112)(526, 1877)(527, 2036)(528, 1812)(529, 1960)(530, 1801)(531, 1813)(532, 2117)(533, 1803)(534, 1958)(535, 2032)(536, 1805)(537, 1980)(538, 2028)(539, 1809)(540, 2021)(541, 2047)(542, 2121)(543, 2116)(544, 1975)(545, 1814)(546, 1821)(547, 1923)(548, 1991)(549, 2022)(550, 2122)(551, 1819)(552, 1820)(553, 2125)(554, 2124)(555, 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2037)(647, 1921)(648, 2070)(649, 1925)(650, 2050)(651, 2000)(652, 2027)(653, 1933)(654, 1941)(655, 2152)(656, 1936)(657, 2156)(658, 2096)(659, 2060)(660, 2003)(661, 2153)(662, 1947)(663, 1949)(664, 2103)(665, 2053)(666, 2107)(667, 1952)(668, 1986)(669, 1970)(670, 1961)(671, 2130)(672, 1963)(673, 2020)(674, 2143)(675, 2144)(676, 2154)(677, 2114)(678, 1972)(679, 1978)(680, 1977)(681, 2155)(682, 2101)(683, 2149)(684, 1992)(685, 2108)(686, 2127)(687, 1998)(688, 2004)(689, 2128)(690, 2007)(691, 2115)(692, 2138)(693, 2141)(694, 2119)(695, 2120)(696, 2025)(697, 2134)(698, 2111)(699, 2030)(700, 2090)(701, 2041)(702, 2049)(703, 2118)(704, 2044)(705, 2089)(706, 2105)(707, 2064)(708, 2058)(709, 2157)(710, 2095)(711, 2150)(712, 2065)(713, 2069)(714, 2068)(715, 2073)(716, 2075)(717, 2078)(718, 2098)(719, 2123)(720, 2093)(721, 2161)(722, 2162)(723, 2163)(724, 2164)(725, 2165)(726, 2166)(727, 2167)(728, 2168)(729, 2169)(730, 2170)(731, 2171)(732, 2172)(733, 2173)(734, 2174)(735, 2175)(736, 2176)(737, 2177)(738, 2178)(739, 2179)(740, 2180)(741, 2181)(742, 2182)(743, 2183)(744, 2184)(745, 2185)(746, 2186)(747, 2187)(748, 2188)(749, 2189)(750, 2190)(751, 2191)(752, 2192)(753, 2193)(754, 2194)(755, 2195)(756, 2196)(757, 2197)(758, 2198)(759, 2199)(760, 2200)(761, 2201)(762, 2202)(763, 2203)(764, 2204)(765, 2205)(766, 2206)(767, 2207)(768, 2208)(769, 2209)(770, 2210)(771, 2211)(772, 2212)(773, 2213)(774, 2214)(775, 2215)(776, 2216)(777, 2217)(778, 2218)(779, 2219)(780, 2220)(781, 2221)(782, 2222)(783, 2223)(784, 2224)(785, 2225)(786, 2226)(787, 2227)(788, 2228)(789, 2229)(790, 2230)(791, 2231)(792, 2232)(793, 2233)(794, 2234)(795, 2235)(796, 2236)(797, 2237)(798, 2238)(799, 2239)(800, 2240)(801, 2241)(802, 2242)(803, 2243)(804, 2244)(805, 2245)(806, 2246)(807, 2247)(808, 2248)(809, 2249)(810, 2250)(811, 2251)(812, 2252)(813, 2253)(814, 2254)(815, 2255)(816, 2256)(817, 2257)(818, 2258)(819, 2259)(820, 2260)(821, 2261)(822, 2262)(823, 2263)(824, 2264)(825, 2265)(826, 2266)(827, 2267)(828, 2268)(829, 2269)(830, 2270)(831, 2271)(832, 2272)(833, 2273)(834, 2274)(835, 2275)(836, 2276)(837, 2277)(838, 2278)(839, 2279)(840, 2280)(841, 2281)(842, 2282)(843, 2283)(844, 2284)(845, 2285)(846, 2286)(847, 2287)(848, 2288)(849, 2289)(850, 2290)(851, 2291)(852, 2292)(853, 2293)(854, 2294)(855, 2295)(856, 2296)(857, 2297)(858, 2298)(859, 2299)(860, 2300)(861, 2301)(862, 2302)(863, 2303)(864, 2304)(865, 2305)(866, 2306)(867, 2307)(868, 2308)(869, 2309)(870, 2310)(871, 2311)(872, 2312)(873, 2313)(874, 2314)(875, 2315)(876, 2316)(877, 2317)(878, 2318)(879, 2319)(880, 2320)(881, 2321)(882, 2322)(883, 2323)(884, 2324)(885, 2325)(886, 2326)(887, 2327)(888, 2328)(889, 2329)(890, 2330)(891, 2331)(892, 2332)(893, 2333)(894, 2334)(895, 2335)(896, 2336)(897, 2337)(898, 2338)(899, 2339)(900, 2340)(901, 2341)(902, 2342)(903, 2343)(904, 2344)(905, 2345)(906, 2346)(907, 2347)(908, 2348)(909, 2349)(910, 2350)(911, 2351)(912, 2352)(913, 2353)(914, 2354)(915, 2355)(916, 2356)(917, 2357)(918, 2358)(919, 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	local type(s) :: { ( 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E19.2441
Graph:: simple bipartite
	v = 900 e = 1440 f = 504
	degree seq :: [ 2^720, 8^180 ]

## Checksum: 2442 records.
## Written on: Sat Oct 19 20:15:47 CEST 2019